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numbers: div remainder ---------------------- Challenge: What is the remainder when 249080 is divided by 123726? Workthrough: 1628 Challenge: Calculate the remainder when 107 is divided by 55. Workthrough: 52 Challenge: What is the remainder when 1308109 is divided by 28352? Workthrough: 3917 Challenge: Calculate the remainder when 2320741 is divided by 464106. Workthrough: 211 Challenge: What is the remainder when 636 is divided by 49? Workthrough: 48 Challenge: What is the remainder when 283705 is divided by 1338? Workthrough: 49 Challenge: What is the remainder when 883 is divided by 27? Workthrough: 19 Challenge: Calculate the remainder when 279 is divided by 10. Workthrough: 9 Challenge: What is the remainder when 20683 is divided by 2? Workthrough: 1 Challenge: What is the remainder when 231961862 is divided by 677? Workthrough: 675 Challenge: Calculate the remainder when 842062 is divided by 49. Workthrough: 46 Challenge: Calculate the remainder when 57 is divided by 21. Workthrough: 15 Challenge: Calculate the remainder when 108882 is divided by 6032. Workthrough: 306 Challenge: What is the remainder when 170 is divided by 25? Workthrough: 20 Challenge: What is the remainder when 302 is divided by 16? Workthrough: 14 Challenge: What is the remainder when 1038867 is divided by 148383? Workthrough: 186 Challenge: Calculate the remainder when 1413 is divided by 118. Workthrough: 115 Challenge: What is the remainder when 1087049 is divided by 41? Workthrough: 16 Challenge: Calculate the remainder when 496 is divided by 69. Workthrough: 13 Challenge: Calculate the remainder when 213 is divided by 40. Workthrough: 13 Challenge: Calculate the remainder when 32 is divided by 9. Workthrough: 5 Challenge: What is the remainder when 73 is divided by 14? Workthrough: 3 Challenge: Calculate the remainder when 12076 is divided by 183. Workthrough: 181 Challenge: Calculate the remainder when 13959739 is divided by 461. Workthrough: 198 Challenge: What is the remainder when
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measurement: conversion ----------------------- Qn: What is 6191.23m in micrometers? Response: 6191230000 Qn: What is 21/8 of a microgram in nanograms? Response: 2625 Qn: How many decades are there in 17/4 of a millennium? Response: 425 Qn: How many kilograms are there in 1.38111 nanograms? Response: 0.00000000000138111 Qn: What is 21/2 of a millisecond in microseconds? Response: 10500 Qn: What is 1113.922l in millilitres? Response: 1113922 Qn: How many millilitres are there in sixty-four fifths of a litre? Response: 12800 Qn: What is 405.3714 minutes in microseconds? Response: 24322284000 Qn: How many days are there in 8.762322 weeks? Response: 61.336254 Qn: Convert 4.996664 decades to years. Response: 49.96664 Qn: What is 0.3159744 weeks in nanoseconds? Response: 191101317120000 Qn: How many months are there in fifteen quarters of a year? Response: 45 Qn: What is one tenth of a kilometer in meters? Response: 100 Qn: Convert 42.84964 micrograms to grams. Response: 0.00004284964 Qn: How many millilitres are there in one fifth of a litre? Response: 200 Qn: How many millilitres are there in fourty-nine quarters of a litre? Response: 12250 Qn: What is 44.38479ng in milligrams? Response: 0.00004438479 Qn: Convert 631051.2 decades to years. Response: 6310512 Qn: How many seconds are there in twenty-seven halves of a hour? Response: 48600 Qn: Convert 619115.6m to centimeters. Response: 61911560 Qn: What is one twentieth of a millimeter in micrometers? Response: 50 Qn: How many millilitres are there in 7/4 of a litre? Response: 1750 Qn: How many millilitres are there in eleven halves of a litre? Response: 5500 Qn: What is 21/5 of a gram in milligrams? Response: 4200 Qn: How many litres are there in 9.157336ml? Response: 0.009157336 Qn: What is 21/5 of a week in minutes? Response: 42336 Qn: Convert 0.2801582 millilitres to litres. Response: 0.0002801582 Qn: Convert 71834.28mm to kilometers. Response: 0.07183428 Qn: How many milligrams are there in 0.4866383 tonnes? Response
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probability: swr p sequence --------------------------- Exercise: What is prob of sequence tt when two letters picked without replacement from {t: 7, n: 3}? Yields: 7/15 Exercise: Two letters picked without replacement from {c: 8, u: 7, t: 2, s: 1, o: 1}. Give prob of sequence tt. Yields: 1/171 Exercise: Three letters picked without replacement from {d: 7, j: 9}. Give prob of sequence jdd. Yields: 9/80 Exercise: Three letters picked without replacement from vvozoovovov. What is prob of sequence voo? Yields: 10/99 Exercise: Calculate prob of sequence ii when two letters picked without replacement from ini. Yields: 1/3 Exercise: Three letters picked without replacement from {p: 1, y: 2, a: 1, u: 1, d: 1, j: 2}. Give prob of sequence jdy. Yields: 1/84 Exercise: What is prob of sequence swvw when four letters picked without replacement from xsssswssswwwvv? Yields: 1/143 Exercise: Two letters picked without replacement from {x: 1, b: 11, u: 1, v: 2}. What is prob of sequence vv? Yields: 1/105 Exercise: Calculate prob of sequence ndd when three letters picked without replacement from onnddo. Yields: 1/30 Exercise: Four letters picked without replacement from qqqqqqqqqvqvqvq. What is prob of sequence qqqq? Yields: 33/91 Exercise: Three letters picked without replacement from {u: 3, e: 7, y: 5, o: 4}. Give prob of sequence uey. Yields: 35/1938 Exercise: Calculate prob of sequence mr when two letters picked without replacement from {n: 5, q: 3, b: 4, m: 1, d: 1, r: 3}. Yields: 3/272 Exercise: Calculate prob of sequence oo when two letters picked without replacement from {q: 1, t: 3, o: 1, a: 3, g: 2}. Yields: 0 Exercise: What is prob of sequence zghj when four letters picked without replacement from {g: 2, z: 2, j: 1, h: 1}? Yields: 1/90 Exercise: Two letters picked without replacement from ixzxziibsxi. Give prob of sequence si. Yields: 2/55 Exercise: Two letters picked without replacement from {v: 18, z: 1}. Give prob of sequence vz. Yields: 1/19 Exercise: Four letters pick
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arithmetic: nearest integer root -------------------------------- Question: What is the cube root of 39280770 to the nearest integer? Resolution: 340 Question: What is 619430 to the power of 1/5, to the nearest integer? Resolution: 14 Question: What is the cube root of 171280 to the nearest integer? Resolution: 56 Question: What is 3226 to the power of 1/4, to the nearest integer? Resolution: 8 Question: What is 14208328 to the power of 1/6, to the nearest integer? Resolution: 16 Question: What is 53528608 to the power of 1/3, to the nearest integer? Resolution: 377 Question: What is the fourth root of 2416 to the nearest integer? Resolution: 7 Question: What is 838665275 to the power of 1/3, to the nearest integer? Resolution: 943 Question: What is 484378340 to the power of 1/4, to the nearest integer? Resolution: 148 Question: What is 6584 to the power of 1/3, to the nearest integer? Resolution: 19 Question: What is the square root of 23084 to the nearest integer? Resolution: 152 Question: What is 494955 to the power of 1/3, to the nearest integer? Resolution: 79 Question: What is 4496752 to the power of 1/3, to the nearest integer? Resolution: 165 Question: What is the third root of 94549555 to the nearest integer? Resolution: 456 Question: What is the eighth root of 6169 to the nearest integer? Resolution: 3 Question: What is the seventh root of 95653 to the nearest integer? Resolution: 5 Question: What is the third root of 21148115 to the nearest integer? Resolution: 277 Question: What is the eighth root of 1147759 to the nearest integer? Resolution: 6 Question: What is 259253959 to the power of 1/2, to the nearest integer? Resolution: 16101 Question: What is the ninth root of 67824 to the nearest integer? Resolution: 3 Question: What is the cube root of 266141 to the nearest integer? Resolution: 64 Question: What is the third root of 12487262 to the nearest integer? Resolution: 232 Question: What is the third root of 3004231938 to the nearest integer? Resoluti
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numbers: lcm ------------ Ask: What is the smallest common multiple of 75 and 6? Workthrough: 150 Ask: Calculate the common denominator of -19/294976 and 5/9218. Workthrough: 294976 Ask: Calculate the smallest common multiple of 50 and 64. Workthrough: 1600 Ask: Find the common denominator of 71/6 and -26/112761. Workthrough: 225522 Ask: What is the common denominator of -59/1428 and -65/6? Workthrough: 1428 Ask: Find the common denominator of -87/17383360 and 59/271615. Workthrough: 17383360 Ask: What is the least common multiple of 14 and 322? Workthrough: 322 Ask: What is the least common multiple of 392 and 784? Workthrough: 784 Ask: What is the common denominator of 5/4332 and 109/1139316? Workthrough: 1139316 Ask: What is the least common multiple of 10088 and 55440? Workthrough: 69909840 Ask: What is the lowest common multiple of 5740 and 8090530? Workthrough: 16181060 Ask: What is the lowest common multiple of 926 and 16? Workthrough: 7408 Ask: Calculate the lowest common multiple of 3528 and 600642. Workthrough: 2402568 Ask: Find the common denominator of 43/150 and 74/27. Workthrough: 1350 Ask: Calculate the smallest common multiple of 1606 and 1679. Workthrough: 36938 Ask: What is the common denominator of 59/4139340 and 163/210? Workthrough: 28975380 Ask: What is the lowest common multiple of 12407409 and 42? Workthrough: 24814818 Ask: Calculate the common denominator of -7/107136 and -139/884928. Workthrough: 493789824 Ask: Calculate the smallest common multiple of 71687 and 5390. Workthrough: 716870 Ask: What is the least common multiple of 36 and 84? Workthrough: 252 Ask: Calculate the common denominator of -40/5187 and 40/1911. Workthrough: 36309 Ask: Find the common denominator of -67/31883216 and -107/48. Workthrough: 95649648 Ask: What is the smallest common multiple of 91096 and 413? Workthrough: 637672 Ask: Calculate the common denominator of 8/69255 and -109/114. Workthrough: 138510 Ask: What is the smallest common multiple of 120 and 72? Workt
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numbers: lcm ------------ Conundrum: Calculate the least common multiple of 8307 and 104. Hence: 66456 Conundrum: Find the common denominator of 121/48 and -145/48. Hence: 48 Conundrum: What is the lowest common multiple of 582 and 1940? Hence: 5820 Conundrum: What is the smallest common multiple of 4 and 917? Hence: 3668 Conundrum: Calculate the lowest common multiple of 7830 and 8613. Hence: 86130 Conundrum: Calculate the lowest common multiple of 396000 and 59400. Hence: 1188000 Conundrum: What is the smallest common multiple of 153 and 2? Hence: 306 Conundrum: What is the lowest common multiple of 4545 and 12735? Hence: 1286235 Conundrum: What is the lowest common multiple of 80 and 216? Hence: 2160 Conundrum: Find the common denominator of -41/45 and -53/4565. Hence: 41085 Conundrum: What is the common denominator of 95/702 and -127/53712? Hence: 2094768 Conundrum: Calculate the lowest common multiple of 7 and 6. Hence: 42 Conundrum: Find the common denominator of 19/13023 and -3/15917. Hence: 143253 Conundrum: What is the least common multiple of 30 and 1158? Hence: 5790 Conundrum: Calculate the smallest common multiple of 19001216 and 338. Hence: 247015808 Conundrum: Find the common denominator of 29/8684 and 53/4524364. Hence: 4524364 Conundrum: What is the common denominator of -5/3204 and -43/588468? Hence: 1765404 Conundrum: Find the common denominator of -34/5 and -65/933. Hence: 4665 Conundrum: What is the smallest common multiple of 22841420 and 15512? Hence: 45682840 Conundrum: Find the common denominator of -79/73980 and 47/9450. Hence: 2589300 Conundrum: What is the least common multiple of 114933856 and 2? Hence: 114933856 Conundrum: What is the smallest common multiple of 3 and 156265? Hence: 468795 Conundrum: What is the common denominator of -26/118953 and 5/9? Hence: 118953 Conundrum: Find the common denominator of 55/22344 and 17/223440. Hence: 223440 Conundrum: What is the lowest common multiple of 588 and 20650? Hence: 867300 Conundrum: What
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numbers: place value -------------------- Ask: What is the units digit of 1579671136? Reply: 6 Ask: What is the hundred thousands digit of 14731156? Reply: 7 Ask: What is the tens digit of 35099? Reply: 9 Ask: What is the ten thousands digit of 5610439? Reply: 1 Ask: What is the units digit of 7023? Reply: 3 Ask: What is the hundred thousands digit of 169099? Reply: 1 Ask: What is the hundreds digit of 7508957? Reply: 9 Ask: What is the hundreds digit of 4147512? Reply: 5 Ask: What is the thousands digit of 429182? Reply: 9 Ask: What is the hundreds digit of 697? Reply: 6 Ask: What is the hundreds digit of 1419743? Reply: 7 Ask: What is the thousands digit of 106847262? Reply: 7 Ask: What is the tens digit of 169710? Reply: 1 Ask: What is the hundred thousands digit of 837034? Reply: 8 Ask: What is the hundred thousands digit of 2651473? Reply: 6 Ask: What is the units digit of 669191? Reply: 1 Ask: What is the hundred thousands digit of 241476? Reply: 2 Ask: What is the hundreds digit of 2609? Reply: 6 Ask: What is the hundred thousands digit of 212122365? Reply: 1 Ask: What is the units digit of 210456? Reply: 6 Ask: What is the ten thousands digit of 90445? Reply: 9 Ask: What is the units digit of 1305611586? Reply: 6 Ask: What is the ten millions digit of 152050580? Reply: 5 Ask: What is the hundred thousands digit of 541056? Reply: 5 Ask: What is the tens digit of 26277? Reply: 7 Ask: What is the hundreds digit of 61447691? Reply: 6 Ask: What is the tens digit of 16052? Reply: 5 Ask: What is the units digit of 180376? Reply: 6 Ask: What is the thousands digit of 7499? Reply: 7 Ask: What is the hundred millions digit of 1593931219? Reply: 5 Ask: What is the hundred thousands digit of 4610746? Reply: 6 Ask: What is the thousands digit of 4721? Reply: 4 Ask: What is the thousands digit of 999483029? Reply: 3 Ask: What is the hundred millions digit of 182590621? Reply: 1 Ask: What is the ten thousands digit of 18479? Reply: 1 Ask: What is the ten thousands digit of
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numbers: gcd ------------ Scenario: What is the highest common factor of 10578743 and 3689? Result: 119 Scenario: What is the greatest common factor of 30530709 and 54? Result: 27 Scenario: Calculate the greatest common divisor of 284071 and 781. Result: 71 Scenario: What is the greatest common factor of 480 and 30? Result: 30 Scenario: What is the greatest common divisor of 8944 and 208? Result: 208 Scenario: What is the highest common factor of 3675 and 71575? Result: 175 Scenario: What is the highest common factor of 9 and 381? Result: 3 Scenario: Calculate the highest common divisor of 1 and 102337. Result: 1 Scenario: Calculate the greatest common factor of 885 and 30. Result: 15 Scenario: What is the greatest common divisor of 945 and 35? Result: 35 Scenario: Calculate the highest common divisor of 5094096 and 840. Result: 168 Scenario: Calculate the greatest common factor of 17136 and 83272. Result: 56 Scenario: Calculate the greatest common factor of 9321 and 104. Result: 13 Scenario: Calculate the greatest common divisor of 49 and 49. Result: 49 Scenario: What is the greatest common factor of 18 and 3778? Result: 2 Scenario: What is the highest common divisor of 6407 and 447? Result: 149 Scenario: Calculate the greatest common factor of 1807 and 13. Result: 13 Scenario: What is the highest common divisor of 3224 and 10881? Result: 403 Scenario: What is the greatest common divisor of 212440 and 4068? Result: 452 Scenario: Calculate the highest common divisor of 9377265 and 63. Result: 3 Scenario: Calculate the highest common divisor of 24 and 84. Result: 12 Scenario: Calculate the greatest common divisor of 1881 and 386298. Result: 99 Scenario: Calculate the greatest common factor of 8004 and 154338. Result: 174 Scenario: What is the highest common divisor of 177872 and 5824? Result: 16 Scenario: What is the greatest common divisor of 3966728 and 218? Result: 218 Scenario: Calculate the highest common divisor of 4983 and 19561597. Result: 1661 Scenario: What
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measurement: conversion ----------------------- Q-: How many years are there in 3/10 of a century? Resolution: 30 Q-: What is fifteen quarters of a century in years? Resolution: 375 Q-: How many seconds are there in 55/6 of a minute? Resolution: 550 Q-: What is 77.45912 centimeters in micrometers? Resolution: 774591.2 Q-: How many centuries are there in 0.7624955 decades? Resolution: 0.07624955 Q-: Convert 1.516432 milliseconds to nanoseconds. Resolution: 1516432 Q-: How many nanograms are there in 76/5 of a microgram? Resolution: 15200 Q-: Convert 8993.179um to centimeters. Resolution: 0.8993179 Q-: What is fifteen quarters of a second in milliseconds? Resolution: 3750 Q-: What is three eighths of a kilogram in grams? Resolution: 375 Q-: How many weeks are there in 3835.87596 microseconds? Resolution: 0.0000000063423875 Q-: What is 83841.498 minutes in days? Resolution: 58.2232625 Q-: What is 67/5 of a gram in milligrams? Resolution: 13400 Q-: How many meters are there in 44361.23 kilometers? Resolution: 44361230 Q-: What is 7.113956um in kilometers? Resolution: 0.000000007113956 Q-: What is 4099.5507 hours in weeks? Resolution: 24.4020875 Q-: What is 30.92444m in centimeters? Resolution: 3092.444 Q-: How many nanometers are there in 3554.336 centimeters? Resolution: 35543360000 Q-: Convert 7467.303ml to litres. Resolution: 7.467303 Q-: What is 0.5133876ml in litres? Resolution: 0.0005133876 Q-: How many centuries are there in 148.37514 months? Resolution: 0.12364595 Q-: How many seconds are there in seven eighths of a hour? Resolution: 3150 Q-: What is six fifths of a meter in millimeters? Resolution: 1200 Q-: What is 37/2 of a kilogram in grams? Resolution: 18500 Q-: What is 0.998542 decades in years? Resolution: 9.98542 Q-: How many kilograms are there in 13/5 of a tonne? Resolution: 2600 Q-: What is 1/10 of a milligram in nanograms? Resolution: 100000 Q-: What is 5/28 of a week in hours? Resolution: 30 Q-: How many months are there in 6/5 of a decade? Resolutio
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numbers: is prime ----------------- Example: Is 13422791 a prime number? Calculation: True Example: Is 7550891 composite? Calculation: False Example: Is 82589 a composite number? Calculation: True Example: Is 2908651 a prime number? Calculation: True Example: Is 38149 composite? Calculation: False Example: Is 14155651 a composite number? Calculation: False Example: Is 1030251317 a composite number? Calculation: True Example: Is 330266 composite? Calculation: True Example: Is 35059591 composite? Calculation: True Example: Is 94033 prime? Calculation: True Example: Is 3491012911 composite? Calculation: True Example: Is 12611 a prime number? Calculation: True Example: Is 13771 a composite number? Calculation: True Example: Is 19935384643 composite? Calculation: False Example: Is 524618473 a prime number? Calculation: True Example: Is 297391 composite? Calculation: False Example: Is 699356261 composite? Calculation: False Example: Is 624080615 a composite number? Calculation: True Example: Is 8491 composite? Calculation: True Example: Is 43379 prime? Calculation: False Example: Is 8563 composite? Calculation: False Example: Is 4481 a composite number? Calculation: False Example: Is 137633 composite? Calculation: False Example: Is 1670261 a prime number? Calculation: False Example: Is 110497031 a composite number? Calculation: True Example: Is 99949 prime? Calculation: False Example: Is 105907541 composite? Calculation: True Example: Is 753295 prime? Calculation: False Example: Is 6540824207 a composite number? Calculation: False Example: Is 24914 composite? Calculation: True Example: Is 179240717 a composite number? Calculation: False Example: Is 33845762 a composite number? Calculation: True Example: Is 8885 composite? Calculation: True Example: Is 5341066 a prime number? Calculation: False Example: Is 1392943 a composite number? Calculation: False Example: Is 30391999 a composite number? Calculation: True Example: Is 50549815619 a prime number? Calculation: False Exam
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numbers: is prime ----------------- Example: Is 9865168307 composite? Clarification: False Example: Is 35059139 a prime number? Clarification: True Example: Is 733607 composite? Clarification: True Example: Is 112327 prime? Clarification: True Example: Is 2600083 composite? Clarification: True Example: Is 61560377 a composite number? Clarification: False Example: Is 131519 a composite number? Clarification: False Example: Is 4364086367 a prime number? Clarification: True Example: Is 1519591 a prime number? Clarification: True Example: Is 2189 prime? Clarification: False Example: Is 8126863 prime? Clarification: True Example: Is 192612583 a prime number? Clarification: True Example: Is 1932247 prime? Clarification: True Example: Is 2252016757 composite? Clarification: False Example: Is 12121860943 a composite number? Clarification: True Example: Is 788087 a prime number? Clarification: True Example: Is 57967097053 prime? Clarification: False Example: Is 114639611 a prime number? Clarification: True Example: Is 69214217167 prime? Clarification: True Example: Is 41711 a composite number? Clarification: True Example: Is 619451857 composite? Clarification: True Example: Is 20505619 a composite number? Clarification: False Example: Is 257786153 composite? Clarification: True Example: Is 15586097 a prime number? Clarification: True Example: Is 120187 a prime number? Clarification: False Example: Is 24441623053 prime? Clarification: True Example: Is 147681949 prime? Clarification: False Example: Is 184029 prime? Clarification: False Example: Is 89311963 a composite number? Clarification: True Example: Is 5743169 a composite number? Clarification: True Example: Is 947239 composite? Clarification: False Example: Is 48095 prime? Clarification: False Example: Is 1602901 composite? Clarification: False Example: Is 619438961 composite? Clarification: False Example: Is 26752487 a prime number? Clarification: True Example: Is 80126 a composite number? Clarification: True Example: I
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arithmetic: nearest integer root -------------------------------- Exercise: What is the cube root of 87895135 to the nearest integer? Soln: 445 Exercise: What is the cube root of 71433 to the nearest integer? Soln: 41 Exercise: What is 1550 to the power of 1/3, to the nearest integer? Soln: 12 Exercise: What is the seventh root of 87539 to the nearest integer? Soln: 5 Exercise: What is 2233594 to the power of 1/10, to the nearest integer? Soln: 4 Exercise: What is 130447272 to the power of 1/2, to the nearest integer? Soln: 11421 Exercise: What is 16037583 to the power of 1/5, to the nearest integer? Soln: 28 Exercise: What is 4652809041 to the power of 1/4, to the nearest integer? Soln: 261 Exercise: What is the third root of 18866867 to the nearest integer? Soln: 266 Exercise: What is 1114372243 to the power of 1/3, to the nearest integer? Soln: 1037 Exercise: What is the eighth root of 3093696 to the nearest integer? Soln: 6 Exercise: What is 8741367 to the power of 1/2, to the nearest integer? Soln: 2957 Exercise: What is the fourth root of 3630591 to the nearest integer? Soln: 44 Exercise: What is 31162 to the power of 1/2, to the nearest integer? Soln: 177 Exercise: What is the seventh root of 110977219 to the nearest integer? Soln: 14 Exercise: What is 26397 to the power of 1/5, to the nearest integer? Soln: 8 Exercise: What is the sixth root of 120394708 to the nearest integer? Soln: 22 Exercise: What is 13866 to the power of 1/2, to the nearest integer? Soln: 118 Exercise: What is the eighth root of 5341381 to the nearest integer? Soln: 7 Exercise: What is 604 to the power of 1/3, to the nearest integer? Soln: 8 Exercise: What is 29208749 to the power of 1/3, to the nearest integer? Soln: 308 Exercise: What is 1277294930 to the power of 1/2, to the nearest integer? Soln: 35739 Exercise: What is the third root of 132197380 to the nearest integer? Soln: 509 Exercise: What is the square root of 174089281 to the nearest integer? Soln: 13194 Exercise: What is 26
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numbers: place value -------------------- Ask: What is the hundreds digit of 2578086? Answer: 0 Ask: What is the thousands digit of 99448552? Answer: 8 Ask: What is the thousands digit of 1662? Answer: 1 Ask: What is the hundreds digit of 362599748? Answer: 7 Ask: What is the tens digit of 4783966? Answer: 6 Ask: What is the hundred thousands digit of 990734? Answer: 9 Ask: What is the ten thousands digit of 127602? Answer: 2 Ask: What is the hundreds digit of 27677854? Answer: 8 Ask: What is the ten thousands digit of 1351608? Answer: 5 Ask: What is the ten millions digit of 2729986651? Answer: 2 Ask: What is the hundreds digit of 1103003202? Answer: 2 Ask: What is the thousands digit of 2691129433? Answer: 9 Ask: What is the tens digit of 1315? Answer: 1 Ask: What is the hundred thousands digit of 1015753? Answer: 0 Ask: What is the hundreds digit of 275? Answer: 2 Ask: What is the tens digit of 821? Answer: 2 Ask: What is the hundreds digit of 382301? Answer: 3 Ask: What is the hundreds digit of 6613? Answer: 6 Ask: What is the ten thousands digit of 601797632? Answer: 9 Ask: What is the tens digit of 2950050? Answer: 5 Ask: What is the ten thousands digit of 8840224? Answer: 4 Ask: What is the tens digit of 456970? Answer: 7 Ask: What is the thousands digit of 16441? Answer: 6 Ask: What is the thousands digit of 60706? Answer: 0 Ask: What is the tens digit of 1002061867? Answer: 6 Ask: What is the hundreds digit of 56167? Answer: 1 Ask: What is the hundreds digit of 4190? Answer: 1 Ask: What is the units digit of 31319163? Answer: 3 Ask: What is the hundreds digit of 63413805? Answer: 8 Ask: What is the units digit of 2461? Answer: 1 Ask: What is the hundred millions digit of 256808727? Answer: 2 Ask: What is the units digit of 3402784271? Answer: 1 Ask: What is the hundreds digit of 10225899? Answer: 8 Ask: What is the tens digit of 24852? Answer: 5 Ask: What is the thousands digit of 7222478? Answer: 2 Ask: What is the thousands digit of 5526046? Answer: 6 Ask
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numbers: is prime ----------------- Prompt: Is 42863 composite? Interpretation: False Prompt: Is 911 composite? Interpretation: False Prompt: Is 10547404509 a prime number? Interpretation: False Prompt: Is 4559399821 a composite number? Interpretation: False Prompt: Is 425089669 a prime number? Interpretation: True Prompt: Is 206624779 a prime number? Interpretation: False Prompt: Is 27127 composite? Interpretation: False Prompt: Is 2073 a composite number? Interpretation: True Prompt: Is 39821 composite? Interpretation: False Prompt: Is 31675105873 a prime number? Interpretation: True Prompt: Is 140301511969 a prime number? Interpretation: True Prompt: Is 67701 a prime number? Interpretation: False Prompt: Is 17651687 a composite number? Interpretation: False Prompt: Is 163060349 a composite number? Interpretation: False Prompt: Is 24251 composite? Interpretation: False Prompt: Is 19102 composite? Interpretation: True Prompt: Is 25093 prime? Interpretation: False Prompt: Is 2311381 composite? Interpretation: False Prompt: Is 633359 prime? Interpretation: True Prompt: Is 6096751 a prime number? Interpretation: True Prompt: Is 15166019993 prime? Interpretation: False Prompt: Is 63377 prime? Interpretation: True Prompt: Is 24329365951 a composite number? Interpretation: True Prompt: Is 700685863 prime? Interpretation: False Prompt: Is 2181893447 composite? Interpretation: False Prompt: Is 8247081151 a prime number? Interpretation: True Prompt: Is 231291913 prime? Interpretation: False Prompt: Is 234228461 composite? Interpretation: False Prompt: Is 29076149 a prime number? Interpretation: True Prompt: Is 55129447619 composite? Interpretation: False Prompt: Is 1486157 composite? Interpretation: True Prompt: Is 10753 prime? Interpretation: True Prompt: Is 200533 prime? Interpretation: False Prompt: Is 751 a prime number? Interpretation: True Prompt: Is 207778 composite? Interpretation: True Prompt: Is 57943697 a composite number? Interpretation: True Prompt: Is 4654381
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numbers: is prime ----------------- Test item: Is 13317310261 prime? Calculation: True Test item: Is 537524353 a composite number? Calculation: False Test item: Is 10344212621 a composite number? Calculation: True Test item: Is 7773739 prime? Calculation: True Test item: Is 2056877209 a prime number? Calculation: False Test item: Is 755309 composite? Calculation: False Test item: Is 462801 composite? Calculation: True Test item: Is 392132011 composite? Calculation: False Test item: Is 3456511 composite? Calculation: False Test item: Is 8657 prime? Calculation: False Test item: Is 2153 a composite number? Calculation: False Test item: Is 202789 prime? Calculation: False Test item: Is 110459 a prime number? Calculation: True Test item: Is 22051 a prime number? Calculation: True Test item: Is 50419 prime? Calculation: False Test item: Is 496311 a prime number? Calculation: False Test item: Is 460077 composite? Calculation: True Test item: Is 17539067297 prime? Calculation: False Test item: Is 123164035 a prime number? Calculation: False Test item: Is 36576159467 prime? Calculation: False Test item: Is 21975677021 composite? Calculation: True Test item: Is 134931835 a prime number? Calculation: False Test item: Is 7167059 composite? Calculation: False Test item: Is 80005 a composite number? Calculation: True Test item: Is 180780441409 composite? Calculation: False Test item: Is 2061037 prime? Calculation: False Test item: Is 41855761253 a composite number? Calculation: True Test item: Is 39857 composite? Calculation: False Test item: Is 1736703877 prime? Calculation: False Test item: Is 773539357 composite? Calculation: True Test item: Is 23531 composite? Calculation: False Test item: Is 405990727 a composite number? Calculation: True Test item: Is 2678863 composite? Calculation: True Test item: Is 7549566743 prime? Calculation: True Test item: Is 58965541 composite? Calculation: True Test item: Is 233989 a composite number? Calculation: True Test item: Is 1047556019 a
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probability: swr p sequence --------------------------- Qn: Calculate prob of sequence mtiz when four letters picked without replacement from zmimiixmiizmxmmxzmmt. A: 1/969 Qn: What is prob of sequence ene when three letters picked without replacement from {e: 2, n: 1, c: 1, r: 1, w: 1, h: 1}? A: 1/105 Qn: Calculate prob of sequence wii when three letters picked without replacement from {x: 1, w: 5, i: 14}. A: 91/684 Qn: Calculate prob of sequence wv when two letters picked without replacement from {j: 1, v: 2, w: 1, k: 1}. A: 1/10 Qn: Calculate prob of sequence oi when two letters picked without replacement from {h: 4, i: 1, u: 1, m: 1, o: 2}. A: 1/36 Qn: Two letters picked without replacement from ccpepcpceeeepc. What is prob of sequence ee? A: 10/91 Qn: Calculate prob of sequence ee when two letters picked without replacement from exjjdeejxjdej. A: 1/13 Qn: What is prob of sequence tf when two letters picked without replacement from tsftm? A: 1/10 Qn: Two letters picked without replacement from {e: 2, c: 2, s: 1, w: 1, r: 1, u: 1}. What is prob of sequence cc? A: 1/28 Qn: What is prob of sequence cy when two letters picked without replacement from {l: 4, c: 6, g: 1, y: 8, w: 1}? A: 12/95 Qn: Four letters picked without replacement from {g: 6, o: 2}. Give prob of sequence oggg. A: 1/7 Qn: Two letters picked without replacement from {n: 2, v: 1, p: 11}. What is prob of sequence nn? A: 1/91 Qn: What is prob of sequence lt when two letters picked without replacement from lyt? A: 1/6 Qn: Four letters picked without replacement from sntshjlt. Give prob of sequence lttj. A: 1/840 Qn: Four letters picked without replacement from paapppaaaaaaaa. What is prob of sequence ppaa? A: 45/1001 Qn: Four letters picked without replacement from kfnffenefefsekefi. Give prob of sequence keni. A: 1/2856 Qn: Calculate prob of sequence jr when two letters picked without replacement from afnsrjr. A: 1/21 Qn: Four letters picked without replacement from fufufffffu. What is prob of sequenc
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probability: swr p level set ---------------------------- Math Q: What is prob of picking 2 a when two letters picked without replacement from {m: 9, a: 3}? Workthrough: 1/22 Math Q: Two letters picked without replacement from snbb. What is prob of picking 1 b and 1 n? Workthrough: 1/3 Math Q: What is prob of picking 1 i and 1 t when two letters picked without replacement from irgsitrittgsrsrtiit? Workthrough: 25/171 Math Q: What is prob of picking 1 q and 1 t when two letters picked without replacement from bttqtthht? Workthrough: 5/36 Math Q: Calculate prob of picking 2 e and 1 a when three letters picked without replacement from ebbwbabeawbwb. Workthrough: 1/143 Math Q: Calculate prob of picking 3 f and 1 x when four letters picked without replacement from {f: 11, n: 2, x: 2, d: 1}. Workthrough: 33/182 Math Q: Two letters picked without replacement from {k: 11, x: 5, h: 1}. What is prob of picking 2 x? Workthrough: 5/68 Math Q: What is prob of picking 2 m when two letters picked without replacement from mmuulmmwwmm? Workthrough: 3/11 Math Q: Calculate prob of picking 1 b and 2 l when three letters picked without replacement from lqlltqbtbxbh. Workthrough: 9/220 Math Q: What is prob of picking 3 s and 1 d when four letters picked without replacement from {d: 5, s: 4, g: 7}? Workthrough: 1/91 Math Q: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from tnlhctl. Workthrough: 2/21 Math Q: Four letters picked without replacement from {f: 7, v: 4}. What is prob of picking 3 f and 1 v? Workthrough: 14/33 Math Q: Calculate prob of picking 2 b and 1 p when three letters picked without replacement from {i: 7, p: 2, f: 3, b: 3}. Workthrough: 6/455 Math Q: Four letters picked without replacement from {x: 1, c: 2, u: 2, k: 1, d: 1}. What is prob of picking 1 d, 1 c, 1 k, and 1 u? Workthrough: 4/35 Math Q: Two letters picked without replacement from {e: 5, u: 1, a: 1, m: 3, r: 5}. Give prob of picking 1 m and 1 e. Workthrough: 1/7 Math Q: Two
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probability: swr p sequence --------------------------- Subquestion: Calculate prob of sequence scdc when four letters picked without replacement from {c: 2, s: 3, d: 4}. Finding: 1/126 Subquestion: What is prob of sequence iiz when three letters picked without replacement from jggzgzjzzigggggzzgi? Finding: 2/969 Subquestion: Four letters picked without replacement from llzzeczczlccz. What is prob of sequence lecc? Finding: 3/1430 Subquestion: What is prob of sequence iuy when three letters picked without replacement from {u: 4, y: 4, x: 3, i: 3, k: 2}? Finding: 1/70 Subquestion: Four letters picked without replacement from {v: 4, j: 2, t: 3}. Give prob of sequence tvvj. Finding: 1/42 Subquestion: Four letters picked without replacement from {c: 5, o: 2, g: 4, y: 2, h: 1}. What is prob of sequence ggch? Finding: 5/2002 Subquestion: What is prob of sequence tii when three letters picked without replacement from itttststistitistztt? Finding: 20/969 Subquestion: Calculate prob of sequence ttv when three letters picked without replacement from {v: 4, t: 3}. Finding: 4/35 Subquestion: Three letters picked without replacement from {n: 3, c: 2, v: 3, g: 7}. Give prob of sequence nvn. Finding: 3/455 Subquestion: Calculate prob of sequence rb when two letters picked without replacement from {y: 1, b: 1, q: 1, r: 11, x: 2}. Finding: 11/240 Subquestion: Four letters picked without replacement from kakkkaaakkk. Give prob of sequence akak. Finding: 7/110 Subquestion: Three letters picked without replacement from dddpvvvpdslwpvssl. Give prob of sequence pwl. Finding: 1/680 Subquestion: Calculate prob of sequence pdnt when four letters picked without replacement from {p: 3, t: 1, n: 6, c: 1, d: 1, z: 1}. Finding: 3/2860 Subquestion: Calculate prob of sequence hh when two letters picked without replacement from vvhvvhhhhhvv. Finding: 5/22 Subquestion: Calculate prob of sequence tvvq when four letters picked without replacement from {v: 3, t: 4, q: 2, x: 1, u: 1}. Finding: 1/165 Sub
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probability: swr p sequence --------------------------- Q): Four letters picked without replacement from ggjjxxxxqg. What is prob of sequence jgxq? Explanation: 1/210 Q): Calculate prob of sequence wt when two letters picked without replacement from grtwwwwwwwwtw. Explanation: 3/26 Q): Two letters picked without replacement from dldlmldblvmlmbdl. What is prob of sequence vm? Explanation: 1/80 Q): Four letters picked without replacement from kkxnxn. Give prob of sequence xkkx. Explanation: 1/90 Q): What is prob of sequence hrah when four letters picked without replacement from hffahqaqnrhahhhrahha? Explanation: 14/2907 Q): Three letters picked without replacement from {n: 5, l: 2, h: 1, u: 8}. Give prob of sequence hnu. Explanation: 1/84 Q): Calculate prob of sequence ooo when three letters picked without replacement from {n: 7, g: 7, k: 1, o: 3, l: 1}. Explanation: 1/969 Q): Calculate prob of sequence hh when two letters picked without replacement from aninhwhq. Explanation: 1/28 Q): Four letters picked without replacement from cthjxhm. Give prob of sequence xmmm. Explanation: 0 Q): Calculate prob of sequence omm when three letters picked without replacement from oommm. Explanation: 1/5 Q): Calculate prob of sequence ba when two letters picked without replacement from {p: 6, r: 2, b: 4, a: 2, l: 1}. Explanation: 4/105 Q): Two letters picked without replacement from qtnqnqqjtqjnqyy. Give prob of sequence yt. Explanation: 2/105 Q): Calculate prob of sequence gp when two letters picked without replacement from {l: 6, p: 1, g: 2, n: 1, r: 2}. Explanation: 1/66 Q): Two letters picked without replacement from kqqqqqkkcqqkqq. What is prob of sequence kk? Explanation: 6/91 Q): Two letters picked without replacement from {d: 1, q: 4, w: 4, n: 2}. What is prob of sequence wn? Explanation: 4/55 Q): Four letters picked without replacement from ggssss. Give prob of sequence sgss. Explanation: 2/15 Q): Two letters picked without replacement from {d: 3, t: 2}. What is prob of sequ
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numbers: is prime ----------------- Query: Is 145083283 prime? Solution: True Query: Is 13033 prime? Solution: True Query: Is 502257643 prime? Solution: True Query: Is 44747369 a composite number? Solution: False Query: Is 75585614243 prime? Solution: False Query: Is 250117 prime? Solution: False Query: Is 87031 composite? Solution: True Query: Is 3722324243 a composite number? Solution: True Query: Is 36415 prime? Solution: False Query: Is 102424658957 composite? Solution: False Query: Is 716859337 prime? Solution: False Query: Is 19440539 prime? Solution: True Query: Is 3401317 prime? Solution: True Query: Is 10711387 a prime number? Solution: True Query: Is 55507 prime? Solution: False Query: Is 19181 composite? Solution: False Query: Is 12571 prime? Solution: False Query: Is 39947771 a composite number? Solution: False Query: Is 76107570493 a prime number? Solution: True Query: Is 73589717903 prime? Solution: False Query: Is 20181209 a composite number? Solution: False Query: Is 2480497 prime? Solution: True Query: Is 47266178 prime? Solution: False Query: Is 285390211 a composite number? Solution: False Query: Is 69474714541 prime? Solution: True Query: Is 2131333933 a prime number? Solution: False Query: Is 48827839 prime? Solution: False Query: Is 162389 a prime number? Solution: True Query: Is 17892939 composite? Solution: True Query: Is 4831 a composite number? Solution: False Query: Is 99463313 composite? Solution: True Query: Is 31211641 a prime number? Solution: True Query: Is 19429669 prime? Solution: False Query: Is 243733 prime? Solution: False Query: Is 1591 composite? Solution: True Query: Is 126303592021 prime? Solution: False Query: Is 62081 composite? Solution: False Query: Is 9839660678 composite? Solution: True Query: Is 70963 prime? Solution: False Query: Is 224292911 a composite number? Solution: False Query: Is 126317237 composite? Solution: False Query: Is 1134510329 composite? Solution: False Query: Is 107129750257 a composite number? Solu
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numbers: is factor ------------------ Problem: Is 7871353 a multiple of 18? Answer: False Problem: Is 2016 a multiple of 7? Answer: True Problem: Is 445500 a multiple of 206? Answer: False Problem: Is 1043412120 a multiple of 16? Answer: False Problem: Does 18 divide 27732496? Answer: False Problem: Does 65 divide 1439? Answer: False Problem: Is 14 a factor of 4248019? Answer: False Problem: Does 245 divide 34780200? Answer: True Problem: Does 605 divide 329811224? Answer: False Problem: Is 924 a multiple of 3? Answer: True Problem: Does 42 divide 2080007? Answer: False Problem: Is 8050623 a multiple of 1401? Answer: False Problem: Does 297 divide 7120? Answer: False Problem: Does 1306 divide 348550? Answer: False Problem: Does 45 divide 103456705? Answer: False Problem: Does 51 divide 1275? Answer: True Problem: Does 9 divide 1233? Answer: True Problem: Does 203 divide 748472? Answer: False Problem: Does 47 divide 2991398? Answer: False Problem: Is 25 a multiple of 25? Answer: True Problem: Is 106151 a multiple of 10? Answer: False Problem: Is 4 a factor of 115? Answer: False Problem: Is 356 a factor of 40622448? Answer: True Problem: Does 12 divide 2704? Answer: False Problem: Is 2482 a multiple of 23? Answer: False Problem: Does 60 divide 519120? Answer: True Problem: Does 2 divide 197? Answer: False Problem: Is 49 a factor of 1059? Answer: False Problem: Is 290629545 a multiple of 641? Answer: False Problem: Is 123 a factor of 532959? Answer: True Problem: Is 107848 a multiple of 442? Answer: True Problem: Is 762421 a multiple of 11? Answer: True Problem: Does 49 divide 8134? Answer: True Problem: Does 4 divide 3793696? Answer: True Problem: Is 5 a factor of 5732? Answer: False Problem: Does 14 divide 14277704? Answer: True Problem: Is 1415609186 a multiple of 22? Answer: False Problem: Is 29 a factor of 6488141? Answer: True Problem: Is 7536126 a multiple of 1027? Answer: True Problem: Is 119065 a multiple of 21? Answer: False Problem: Is 38 a factor of 602? An
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numbers: is factor ------------------ Qn: Is 44 a factor of 1804? Clarification: True Qn: Is 69723 a multiple of 127? Clarification: True Qn: Is 70 a factor of 2100? Clarification: True Qn: Is 189 a multiple of 63? Clarification: True Qn: Is 17 a factor of 22100? Clarification: True Qn: Is 84 a factor of 9159? Clarification: False Qn: Is 2912 a multiple of 52? Clarification: True Qn: Is 23 a factor of 9542? Clarification: False Qn: Does 7 divide 7619066? Clarification: True Qn: Is 126545535 a multiple of 83? Clarification: True Qn: Is 219 a factor of 19510710? Clarification: True Qn: Is 258895584 a multiple of 4? Clarification: True Qn: Does 12 divide 13164? Clarification: True Qn: Is 107 a factor of 54463? Clarification: True Qn: Does 44 divide 34304250? Clarification: False Qn: Is 38591187 a multiple of 343? Clarification: False Qn: Is 13 a factor of 3572? Clarification: False Qn: Is 5358 a multiple of 144? Clarification: False Qn: Is 246 a factor of 659807? Clarification: False Qn: Does 17 divide 203235? Clarification: True Qn: Is 94 a factor of 1722? Clarification: False Qn: Is 267073090 a multiple of 5? Clarification: True Qn: Is 2857 a factor of 216652024? Clarification: True Qn: Does 8 divide 792304? Clarification: True Qn: Is 232664569 a multiple of 4? Clarification: False Qn: Is 13 a factor of 2457? Clarification: True Qn: Does 166 divide 59548848? Clarification: True Qn: Is 5606 a multiple of 8? Clarification: False Qn: Is 846187 even? Clarification: False Qn: Does 122 divide 29861208? Clarification: True Qn: Does 78 divide 426051? Clarification: False Qn: Is 175758 a multiple of 33? Clarification: True Qn: Is 74 a factor of 4638079? Clarification: False Qn: Is 160 a factor of 366569778? Clarification: False Qn: Is 85 a factor of 205870? Clarification: True Qn: Does 29 divide 30744? Clarification: False Qn: Is 3 a factor of 155? Clarification: False Qn: Is 7920 a multiple of 20? Clarification: True Qn: Is 10 a factor of 510? Clarification: True Qn: Is 3322
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numbers: div remainder ---------------------- Problem Statement: What is the remainder when 74394 is divided by 18464? Derivation: 538 Problem Statement: What is the remainder when 90073 is divided by 45011? Derivation: 51 Problem Statement: What is the remainder when 88793 is divided by 207? Derivation: 197 Problem Statement: Calculate the remainder when 2431771 is divided by 303969. Derivation: 19 Problem Statement: What is the remainder when 26672 is divided by 205? Derivation: 22 Problem Statement: Calculate the remainder when 7543942 is divided by 29. Derivation: 27 Problem Statement: What is the remainder when 65291194 is divided by 160? Derivation: 154 Problem Statement: What is the remainder when 2878 is divided by 1436? Derivation: 6 Problem Statement: What is the remainder when 3557631 is divided by 2474? Derivation: 19 Problem Statement: Calculate the remainder when 333411 is divided by 77. Derivation: 1 Problem Statement: Calculate the remainder when 647 is divided by 8. Derivation: 7 Problem Statement: What is the remainder when 4248 is divided by 199? Derivation: 69 Problem Statement: What is the remainder when 69 is divided by 28? Derivation: 13 Problem Statement: What is the remainder when 3135 is divided by 286? Derivation: 275 Problem Statement: Calculate the remainder when 517 is divided by 106. Derivation: 93 Problem Statement: Calculate the remainder when 409 is divided by 41. Derivation: 40 Problem Statement: Calculate the remainder when 302 is divided by 134. Derivation: 34 Problem Statement: Calculate the remainder when 409 is divided by 112. Derivation: 73 Problem Statement: What is the remainder when 2065 is divided by 2034? Derivation: 31 Problem Statement: Calculate the remainder when 49469458 is divided by 33. Derivation: 16 Problem Statement: What is the remainder when 86 is divided by 18? Derivation: 14 Problem Statement: Calculate the remainder when 573 is divided by 199. Derivation: 175 Problem Statement: What is the remainder when 1
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measurement: time ----------------- Qn: What is 570 minutes after 10:16 PM? Calculation: 7:46 AM Qn: What is 662 minutes after 5:14 PM? Calculation: 4:16 AM Qn: How many minutes are there between 5:18 AM and 1:41 PM? Calculation: 503 Qn: How many minutes are there between 3:00 AM and 2:04 PM? Calculation: 664 Qn: How many minutes are there between 7:47 PM and 3:30 AM? Calculation: 463 Qn: How many minutes are there between 1:43 PM and 12:17 AM? Calculation: 634 Qn: What is 597 minutes before 9:37 PM? Calculation: 11:40 AM Qn: How many minutes are there between 3:22 PM and 1:31 AM? Calculation: 609 Qn: What is 520 minutes after 2:45 AM? Calculation: 11:25 AM Qn: What is 667 minutes after 4:40 PM? Calculation: 3:47 AM Qn: How many minutes are there between 6:36 AM and 8:06 AM? Calculation: 90 Qn: What is 402 minutes before 5:59 AM? Calculation: 11:17 PM Qn: What is 170 minutes before 11:07 AM? Calculation: 8:17 AM Qn: How many minutes are there between 11:02 AM and 9:22 PM? Calculation: 620 Qn: How many minutes are there between 3:58 AM and 12:46 PM? Calculation: 528 Qn: What is 33 minutes before 3:18 PM? Calculation: 2:45 PM Qn: What is 19 minutes after 1:29 AM? Calculation: 1:48 AM Qn: What is 558 minutes after 2:44 PM? Calculation: 12:02 AM Qn: How many minutes are there between 2:24 PM and 7:01 PM? Calculation: 277 Qn: How many minutes are there between 7:17 AM and 8:08 AM? Calculation: 51 Qn: How many minutes are there between 4:58 AM and 4:30 PM? Calculation: 692 Qn: What is 660 minutes before 4:08 AM? Calculation: 5:08 PM Qn: How many minutes are there between 5:35 AM and 11:35 AM? Calculation: 360 Qn: What is 605 minutes before 7:08 PM? Calculation: 9:03 AM Qn: What is 556 minutes after 10:08 AM? Calculation: 7:24 PM Qn: What is 634 minutes before 5:29 PM? Calculation: 6:55 AM Qn: What is 488 minutes before 6:58 AM? Calculation: 10:50 PM Qn: How many minutes are there between 4:47 PM and 1:50 AM? Calculation: 543 Qn: How many minutes are there between 4:52 AM
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probability: swr p level set ---------------------------- Math Problem: Calculate prob of picking 1 z, 1 w, and 1 p when three letters picked without replacement from zwpgzgxq. Solution: 1/28 Math Problem: Calculate prob of picking 1 s and 2 b when three letters picked without replacement from ssswbbssssgw. Solution: 7/220 Math Problem: Three letters picked without replacement from zoosuowowwo. Give prob of picking 1 u, 1 z, and 1 s. Solution: 1/165 Math Problem: Three letters picked without replacement from lllslllsslssl. What is prob of picking 1 s and 2 l? Solution: 70/143 Math Problem: Two letters picked without replacement from {y: 2, n: 2, m: 2, o: 2, z: 5}. Give prob of picking 2 z. Solution: 5/39 Math Problem: Calculate prob of picking 1 r and 2 n when three letters picked without replacement from {m: 2, t: 4, a: 4, r: 3, n: 3}. Solution: 9/560 Math Problem: Four letters picked without replacement from {d: 1, c: 2, t: 1, i: 4, k: 2, h: 2}. What is prob of picking 4 i? Solution: 1/495 Math Problem: Calculate prob of picking 1 g, 1 r, and 2 j when four letters picked without replacement from jojaxrgx. Solution: 1/70 Math Problem: What is prob of picking 2 h and 1 z when three letters picked without replacement from {z: 1, c: 12, h: 6}? Solution: 5/323 Math Problem: Three letters picked without replacement from bbbbbpbbbpp. Give prob of picking 1 p and 2 b. Solution: 28/55 Math Problem: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from {z: 1, t: 2, k: 2}. Solution: 1/10 Math Problem: Calculate prob of picking 2 a when two letters picked without replacement from aaaa. Solution: 1 Math Problem: Two letters picked without replacement from rvdhvud. Give prob of picking 1 v and 1 h. Solution: 2/21 Math Problem: What is prob of picking 3 r when three letters picked without replacement from {l: 2, r: 3}? Solution: 1/10 Math Problem: What is prob of picking 1 g and 3 h when four letters picked without replacement from hhqhqqqg? So
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probability: swr p level set ---------------------------- Problem Statement: What is prob of picking 1 g and 3 b when four letters picked without replacement from ugbbegeeehhbuhbeeb? Result: 1/153 Problem Statement: Calculate prob of picking 2 v and 1 a when three letters picked without replacement from {b: 4, v: 9, a: 6}. Result: 72/323 Problem Statement: Calculate prob of picking 2 p and 2 y when four letters picked without replacement from ppdddydpyyd. Result: 3/110 Problem Statement: Two letters picked without replacement from {r: 3, d: 1, e: 1, m: 1, k: 1}. What is prob of picking 1 d and 1 m? Result: 1/21 Problem Statement: Three letters picked without replacement from {f: 5, y: 2, n: 11, o: 1}. What is prob of picking 1 y and 2 f? Result: 20/969 Problem Statement: Calculate prob of picking 1 i, 1 k, and 1 s when three letters picked without replacement from kikskskisk. Result: 1/4 Problem Statement: What is prob of picking 1 c, 1 f, and 1 z when three letters picked without replacement from {f: 9, d: 1, c: 2, z: 1, j: 5}? Result: 3/136 Problem Statement: What is prob of picking 2 q and 1 e when three letters picked without replacement from hhqqeqqqqeqqqeqqqee? Result: 110/323 Problem Statement: Three letters picked without replacement from {a: 5, s: 3}. What is prob of picking 2 s and 1 a? Result: 15/56 Problem Statement: Two letters picked without replacement from {m: 2, u: 2, f: 1}. What is prob of picking 2 u? Result: 1/10 Problem Statement: Calculate prob of picking 1 n, 1 k, 1 x, and 1 w when four letters picked without replacement from qwxkn. Result: 1/5 Problem Statement: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {k: 11, r: 1}. Result: 1/6 Problem Statement: Calculate prob of picking 1 h and 3 t when four letters picked without replacement from {a: 2, h: 8, t: 4}. Result: 32/1001 Problem Statement: Two letters picked without replacement from {f: 2, u: 5, i: 5}. Give prob of picking 2 f. Result: 1/66 Problem
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numbers: is factor ------------------ Let us solve: Does 6 divide 967? Ans: False Let us solve: Does 306 divide 129080? Ans: False Let us solve: Does 57 divide 32270? Ans: False Let us solve: Is 11 a factor of 38062922? Ans: False Let us solve: Does 64 divide 1044288? Ans: True Let us solve: Does 105 divide 5355? Ans: True Let us solve: Does 66 divide 699? Ans: False Let us solve: Is 3136 a multiple of 28? Ans: True Let us solve: Is 43729 a multiple of 23? Ans: False Let us solve: Does 32 divide 174590752? Ans: True Let us solve: Is 347 a multiple of 11? Ans: False Let us solve: Does 33 divide 1364? Ans: False Let us solve: Is 49 a factor of 1237593? Ans: True Let us solve: Is 64 a factor of 1024? Ans: True Let us solve: Is 6 a factor of 401115? Ans: False Let us solve: Is 62 a factor of 3782? Ans: True Let us solve: Is 61 a factor of 9333? Ans: True Let us solve: Does 56 divide 747093? Ans: False Let us solve: Does 74 divide 127206? Ans: True Let us solve: Is 1126 a factor of 402675616? Ans: True Let us solve: Is 416719191 a multiple of 335? Ans: False Let us solve: Is 57 a factor of 66308106? Ans: False Let us solve: Is 12 a factor of 3760800? Ans: True Let us solve: Is 4 a factor of 95133936? Ans: True Let us solve: Is 233 a factor of 43948102? Ans: False Let us solve: Is 23 a factor of 27646? Ans: True Let us solve: Is 329 a factor of 1432466? Ans: True Let us solve: Is 1029 a multiple of 147? Ans: True Let us solve: Does 116 divide 1633512? Ans: True Let us solve: Is 802842 a multiple of 11? Ans: False Let us solve: Is 97 a factor of 3014601890? Ans: True Let us solve: Is 156 a factor of 22417530? Ans: False Let us solve: Does 18 divide 7290634? Ans: False Let us solve: Is 322 a multiple of 14? Ans: True Let us solve: Is 250233994 a multiple of 52? Ans: False Let us solve: Is 2728052 a multiple of 147? Ans: False Let us solve: Does 211 divide 38337423? Ans: False Let us solve: Does 2 divide 15814908? Ans: True Let us solve: Is 30277716 a multiple of 21? Ans: Tr
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numbers: lcm ------------ Problem: What is the common denominator of -49/746 and 71/20? Workthrough: 7460 Problem: What is the common denominator of -103/7052 and -145/738? Workthrough: 63468 Problem: Calculate the lowest common multiple of 3825 and 9775. Workthrough: 87975 Problem: Find the common denominator of 31/1564 and -89/88. Workthrough: 34408 Problem: Calculate the least common multiple of 195 and 3. Workthrough: 195 Problem: What is the common denominator of 83/89148 and -12/7649609? Workthrough: 2111292084 Problem: Calculate the smallest common multiple of 17800 and 60. Workthrough: 53400 Problem: What is the lowest common multiple of 2502526 and 290? Workthrough: 12512630 Problem: Find the common denominator of -145/6984 and -50/873. Workthrough: 6984 Problem: Calculate the common denominator of -47/828 and 97/12972. Workthrough: 38916 Problem: What is the lowest common multiple of 18 and 80? Workthrough: 720 Problem: Find the common denominator of -139/54 and -67/102. Workthrough: 918 Problem: What is the common denominator of -133/42192 and -125/816? Workthrough: 717264 Problem: Calculate the common denominator of -101/64512 and 121/11648. Workthrough: 838656 Problem: What is the lowest common multiple of 320775 and 27495? Workthrough: 962325 Problem: What is the common denominator of 9/3179 and 3/289? Workthrough: 3179 Problem: Calculate the common denominator of 49/36 and 58/8967. Workthrough: 107604 Problem: Find the common denominator of -12/253 and -17/644. Workthrough: 7084 Problem: Find the common denominator of -9/1064 and 40/1463. Workthrough: 11704 Problem: What is the common denominator of 14/77691125 and 39/876875? Workthrough: 388455625 Problem: Calculate the common denominator of 1/14 and 87/31384654. Workthrough: 31384654 Problem: Calculate the smallest common multiple of 1344 and 448. Workthrough: 1344 Problem: What is the common denominator of -25/339 and -77/3111? Workthrough: 351543 Problem: What is the least common multiple of 298 a
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numbers: lcm ------------ Problem Statement: What is the least common multiple of 1005888 and 6760? Finding: 5029440 Problem Statement: Calculate the lowest common multiple of 2820 and 1092750. Finding: 2185500 Problem Statement: Calculate the least common multiple of 298096 and 992. Finding: 596192 Problem Statement: Find the common denominator of 43/44780 and -73/64305. Finding: 575915580 Problem Statement: Calculate the common denominator of 55/3444 and -131/133561272. Finding: 934928904 Problem Statement: What is the least common multiple of 34044 and 3? Finding: 34044 Problem Statement: What is the least common multiple of 8 and 2112? Finding: 2112 Problem Statement: Find the common denominator of 149/132 and 51/3476. Finding: 10428 Problem Statement: What is the common denominator of 7/19038 and -103/418836? Finding: 418836 Problem Statement: What is the common denominator of -94/45 and -59/5616? Finding: 28080 Problem Statement: Find the common denominator of -23/5880 and -199/2322600. Finding: 2322600 Problem Statement: Calculate the lowest common multiple of 170 and 11075602. Finding: 55378010 Problem Statement: What is the common denominator of -52/33 and 1/21? Finding: 231 Problem Statement: What is the least common multiple of 31551 and 2190? Finding: 23032230 Problem Statement: Calculate the common denominator of -26/2335 and 79/27086. Finding: 135430 Problem Statement: What is the common denominator of -2/31 and -85/2134? Finding: 66154 Problem Statement: Calculate the smallest common multiple of 6 and 24. Finding: 24 Problem Statement: What is the lowest common multiple of 9074 and 10? Finding: 45370 Problem Statement: What is the lowest common multiple of 11124 and 350406? Finding: 700812 Problem Statement: Find the common denominator of -37/3 and -68/141. Finding: 141 Problem Statement: What is the lowest common multiple of 34726 and 7? Finding: 243082 Problem Statement: Calculate the common denominator of 17/240 and -35/144. Finding: 720 Problem St
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numbers: is prime ----------------- Test item: Is 9491 a composite number? Interpretation: False Test item: Is 44783 a composite number? Interpretation: True Test item: Is 9445522 prime? Interpretation: False Test item: Is 174121 prime? Interpretation: True Test item: Is 307823 prime? Interpretation: True Test item: Is 9337 composite? Interpretation: False Test item: Is 531121589 prime? Interpretation: False Test item: Is 185739901 a composite number? Interpretation: False Test item: Is 77278856909 a prime number? Interpretation: False Test item: Is 1010654459 composite? Interpretation: False Test item: Is 479 a prime number? Interpretation: True Test item: Is 334751 prime? Interpretation: True Test item: Is 146581 prime? Interpretation: True Test item: Is 290593 a prime number? Interpretation: True Test item: Is 1531484291 a composite number? Interpretation: False Test item: Is 10142189 prime? Interpretation: True Test item: Is 141649087 a prime number? Interpretation: True Test item: Is 370019 a prime number? Interpretation: False Test item: Is 270378331 a prime number? Interpretation: True Test item: Is 123263 a prime number? Interpretation: False Test item: Is 404671 composite? Interpretation: False Test item: Is 14761113317 composite? Interpretation: False Test item: Is 1567241051 a prime number? Interpretation: True Test item: Is 532190777 a prime number? Interpretation: False Test item: Is 3103039 a prime number? Interpretation: False Test item: Is 291545 composite? Interpretation: True Test item: Is 255499 prime? Interpretation: True Test item: Is 569091 composite? Interpretation: True Test item: Is 393361 prime? Interpretation: True Test item: Is 3793 a composite number? Interpretation: False Test item: Is 9552857 a prime number? Interpretation: True Test item: Is 126962809 a composite number? Interpretation: False Test item: Is 888847 a composite number? Interpretation: True Test item: Is 71708623 composite? Interpretation: True Test item: Is 486334679 a c
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measurement: conversion ----------------------- Let: Convert 0.1746548 days to seconds. Math A: 15090.17472 Let: How many millilitres are there in three tenths of a litre? Math A: 300 Let: Convert 5.120334nm to meters. Math A: 0.000000005120334 Let: What is 7/8 of a millennium in years? Math A: 875 Let: How many months are there in 9.351713 years? Math A: 112.220556 Let: How many millilitres are there in one twentieth of a litre? Math A: 50 Let: What is 42.60882mm in meters? Math A: 0.04260882 Let: How many millilitres are there in 3/40 of a litre? Math A: 75 Let: What is 7/2 of a century in decades? Math A: 35 Let: What is five eighths of a centimeter in micrometers? Math A: 6250 Let: What is 14308.668 months in years? Math A: 1192.389 Let: Convert 25431.5ml to litres. Math A: 25.4315 Let: How many millilitres are there in 7.430961l? Math A: 7430.961 Let: How many nanograms are there in seventeen halves of a microgram? Math A: 8500 Let: How many nanograms are there in 5116.008mg? Math A: 5116008000 Let: Convert 0.4003719 tonnes to milligrams. Math A: 400371900 Let: How many micrometers are there in one fifth of a centimeter? Math A: 2000 Let: Convert 148.1342 kilometers to centimeters. Math A: 14813420 Let: What is 0.6603716 kilograms in milligrams? Math A: 660371.6 Let: How many millilitres are there in 62.09895l? Math A: 62098.95 Let: How many months are there in 73/3 of a year? Math A: 292 Let: What is 28936.84 hours in microseconds? Math A: 104172624000000 Let: How many micrometers are there in seven halves of a millimeter? Math A: 3500 Let: What is twenty-three eighths of a litre in millilitres? Math A: 2875 Let: What is seventeen quarters of a millisecond in microseconds? Math A: 4250 Let: How many millimeters are there in 46/5 of a centimeter? Math A: 92 Let: How many nanoseconds are there in 974.5168 microseconds? Math A: 974516.8 Let: How many millilitres are there in fourty-five halves of a litre? Math A: 22500 Let: What is 0.1800088 centuries in years? M
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arithmetic: nearest integer root -------------------------------- Statement: What is the square root of 18375 to the nearest integer? Math A: 136 Statement: What is the seventh root of 227220 to the nearest integer? Math A: 6 Statement: What is the square root of 15980871 to the nearest integer? Math A: 3998 Statement: What is the eighth root of 1976333 to the nearest integer? Math A: 6 Statement: What is 344666 to the power of 1/10, to the nearest integer? Math A: 4 Statement: What is the cube root of 4561 to the nearest integer? Math A: 17 Statement: What is 26820171 to the power of 1/3, to the nearest integer? Math A: 299 Statement: What is the ninth root of 328854942 to the nearest integer? Math A: 9 Statement: What is 1424 to the power of 1/2, to the nearest integer? Math A: 38 Statement: What is the cube root of 909094 to the nearest integer? Math A: 97 Statement: What is the eighth root of 308314 to the nearest integer? Math A: 5 Statement: What is 65909 to the power of 1/7, to the nearest integer? Math A: 5 Statement: What is the square root of 258284558 to the nearest integer? Math A: 16071 Statement: What is 189406 to the power of 1/8, to the nearest integer? Math A: 5 Statement: What is 4085238341 to the power of 1/2, to the nearest integer? Math A: 63916 Statement: What is 173739808 to the power of 1/2, to the nearest integer? Math A: 13181 Statement: What is the square root of 2562201 to the nearest integer? Math A: 1601 Statement: What is 2753198419 to the power of 1/8, to the nearest integer? Math A: 15 Statement: What is 134989936 to the power of 1/2, to the nearest integer? Math A: 11619 Statement: What is the square root of 9707045 to the nearest integer? Math A: 3116 Statement: What is 54921 to the power of 1/3, to the nearest integer? Math A: 38 Statement: What is 44286 to the power of 1/10, to the nearest integer? Math A: 3 Statement: What is 197276461 to the power of 1/3, to the nearest integer? Math A: 582 Statement: What is 1549378 to the pow
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numbers: is factor ------------------ Statement: Does 617 divide 33101433? Reply: True Statement: Is 108 a factor of 366077988? Reply: True Statement: Does 15 divide 433287480? Reply: True Statement: Does 35 divide 604? Reply: False Statement: Does 5 divide 1008545? Reply: True Statement: Is 7802606 a multiple of 7? Reply: True Statement: Is 4 a factor of 889? Reply: False Statement: Does 11 divide 2208? Reply: False Statement: Is 77 a multiple of 2? Reply: False Statement: Is 1397 a multiple of 127? Reply: True Statement: Does 563 divide 19285760? Reply: False Statement: Does 79 divide 405881765? Reply: False Statement: Is 7 a factor of 14938? Reply: True Statement: Is 8 a factor of 1734719? Reply: False Statement: Is 179 a factor of 114644386? Reply: False Statement: Is 6 a factor of 4463? Reply: False Statement: Is 11000 a multiple of 22? Reply: True Statement: Does 12 divide 920136? Reply: True Statement: Is 18 a factor of 209104198? Reply: False Statement: Is 69 a multiple of 4? Reply: False Statement: Is 15 a factor of 202? Reply: False Statement: Is 1643 a multiple of 8? Reply: False Statement: Is 10 a factor of 124020? Reply: True Statement: Is 121400 a multiple of 25? Reply: True Statement: Is 15 a factor of 32952045? Reply: True Statement: Is 13 a factor of 348426624? Reply: True Statement: Is 237796324 a multiple of 6593? Reply: True Statement: Is 6515544 a multiple of 24? Reply: True Statement: Is 9 a factor of 28264811? Reply: False Statement: Is 7 a factor of 8877572? Reply: False Statement: Is 13 a factor of 767? Reply: True Statement: Is 62 a factor of 106280401? Reply: False Statement: Is 42869355 a multiple of 5? Reply: True Statement: Is 131 a factor of 2635327? Reply: True Statement: Does 154 divide 31059? Reply: False Statement: Is 53 a factor of 8268? Reply: True Statement: Is 5346 a multiple of 81? Reply: True Statement: Is 903 a factor of 434600520? Reply: False Statement: Does 23 divide 222295? Reply: True Statement: Is 1006881 a multiple of
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probability: swr p level set ---------------------------- Problem: Four letters picked without replacement from galglalllggllaa. What is prob of picking 2 g, 1 a, and 1 l? Yields: 8/65 Problem: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {r: 1, x: 2}. Yields: 2/3 Problem: Two letters picked without replacement from momco. Give prob of picking 2 m. Yields: 1/10 Problem: Four letters picked without replacement from {w: 18, u: 1}. What is prob of picking 1 u and 3 w? Yields: 4/19 Problem: What is prob of picking 1 d and 3 p when four letters picked without replacement from drdprpdhrprrrr? Yields: 3/1001 Problem: What is prob of picking 2 b when two letters picked without replacement from jrbwwbljbwjwjjlwlj? Yields: 1/51 Problem: What is prob of picking 4 g when four letters picked without replacement from gggmgggmgg? Yields: 1/3 Problem: Three letters picked without replacement from {n: 1, a: 2, o: 2, b: 1, r: 4, y: 4}. Give prob of picking 1 o and 2 r. Yields: 3/91 Problem: Calculate prob of picking 3 f and 1 i when four letters picked without replacement from ffiffifffffffi. Yields: 45/91 Problem: Two letters picked without replacement from {v: 1, m: 11, r: 1}. What is prob of picking 1 m and 1 r? Yields: 11/78 Problem: Calculate prob of picking 2 h and 1 b when three letters picked without replacement from hbhzzhbhbzbbbbbh. Yields: 1/7 Problem: Three letters picked without replacement from pppjjpppcp. What is prob of picking 2 p and 1 j? Yields: 7/20 Problem: Two letters picked without replacement from cbbcbbc. Give prob of picking 1 c and 1 b. Yields: 4/7 Problem: What is prob of picking 1 q and 1 z when two letters picked without replacement from {z: 4, n: 3, d: 1, q: 6}? Yields: 24/91 Problem: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {l: 1, b: 4, x: 3, r: 7, g: 2}. Yields: 3/136 Problem: Calculate prob of picking 1 o and 3 m when four letters picked without replacement from h
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arithmetic: nearest integer root -------------------------------- Exercise: What is the cube root of 96475570 to the nearest integer? A.: 459 Exercise: What is the seventh root of 233413498 to the nearest integer? A.: 16 Exercise: What is the seventh root of 481953 to the nearest integer? A.: 6 Exercise: What is the third root of 2677 to the nearest integer? A.: 14 Exercise: What is the fourth root of 235 to the nearest integer? A.: 4 Exercise: What is 23675218 to the power of 1/3, to the nearest integer? A.: 287 Exercise: What is 685183 to the power of 1/8, to the nearest integer? A.: 5 Exercise: What is 1003379 to the power of 1/2, to the nearest integer? A.: 1002 Exercise: What is the square root of 190823 to the nearest integer? A.: 437 Exercise: What is 1802266853 to the power of 1/3, to the nearest integer? A.: 1217 Exercise: What is 267953 to the power of 1/2, to the nearest integer? A.: 518 Exercise: What is 6136 to the power of 1/5, to the nearest integer? A.: 6 Exercise: What is the third root of 1834531 to the nearest integer? A.: 122 Exercise: What is 602624752 to the power of 1/4, to the nearest integer? A.: 157 Exercise: What is 625041 to the power of 1/3, to the nearest integer? A.: 86 Exercise: What is 77237 to the power of 1/2, to the nearest integer? A.: 278 Exercise: What is 2719329 to the power of 1/7, to the nearest integer? A.: 8 Exercise: What is 14083 to the power of 1/7, to the nearest integer? A.: 4 Exercise: What is 612464932 to the power of 1/2, to the nearest integer? A.: 24748 Exercise: What is 1069 to the power of 1/2, to the nearest integer? A.: 33 Exercise: What is 162 to the power of 1/6, to the nearest integer? A.: 2 Exercise: What is the third root of 1042995155 to the nearest integer? A.: 1014 Exercise: What is the square root of 2262663211 to the nearest integer? A.: 47567 Exercise: What is 439363084 to the power of 1/2, to the nearest integer? A.: 20961 Exercise: What is 421913156 to the power of 1/9, to the nearest integer? A.
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numbers: is factor ------------------ Issue: Is 13 a factor of 211118? Solution: False Issue: Is 13555092 a multiple of 123? Solution: True Issue: Does 2 divide 617? Solution: False Issue: Does 28 divide 476? Solution: True Issue: Is 87 a factor of 5558? Solution: False Issue: Is 5 a factor of 335? Solution: True Issue: Is 12706 a multiple of 88? Solution: False Issue: Is 11 a factor of 11250? Solution: False Issue: Does 10 divide 310? Solution: True Issue: Is 20 a factor of 920? Solution: True Issue: Is 8627 a multiple of 16? Solution: False Issue: Is 34721878 a multiple of 37? Solution: False Issue: Does 308 divide 16596272? Solution: True Issue: Does 54 divide 6953025? Solution: False Issue: Is 91 a factor of 66727? Solution: False Issue: Is 1132538 a multiple of 24? Solution: False Issue: Is 1511 a factor of 40629890? Solution: False Issue: Is 1438102 a multiple of 79? Solution: False Issue: Does 4 divide 337140? Solution: True Issue: Is 34 a factor of 539? Solution: False Issue: Is 716901 a multiple of 20? Solution: False Issue: Does 25 divide 572? Solution: False Issue: Is 8 a factor of 202019187? Solution: False Issue: Is 193 a factor of 72954? Solution: True Issue: Does 27 divide 828144? Solution: True Issue: Is 45 a factor of 52401538? Solution: False Issue: Is 181594 a multiple of 49? Solution: True Issue: Is 2452540092 a multiple of 201? Solution: True Issue: Is 628987806 a multiple of 10403? Solution: False Issue: Does 20 divide 7450? Solution: False Issue: Is 534730 a multiple of 35? Solution: True Issue: Is 90585 a multiple of 197? Solution: False Issue: Does 54 divide 14201017? Solution: False Issue: Is 1366727 a multiple of 57? Solution: False Issue: Is 207 a factor of 39228? Solution: False Issue: Is 127952940 a multiple of 2620? Solution: True Issue: Is 5841 a factor of 871921116? Solution: True Issue: Is 9270 a multiple of 90? Solution: True Issue: Does 551 divide 339416? Solution: True Issue: Is 15 a factor of 19065? Solution: True Issue: Does 9
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arithmetic: nearest integer root -------------------------------- Q.: What is 60395246 to the power of 1/4, to the nearest integer? Finding: 88 Q.: What is the square root of 1586626 to the nearest integer? Finding: 1260 Q.: What is the seventh root of 235956025 to the nearest integer? Finding: 16 Q.: What is the third root of 848900149 to the nearest integer? Finding: 947 Q.: What is 290413 to the power of 1/5, to the nearest integer? Finding: 12 Q.: What is the square root of 12841 to the nearest integer? Finding: 113 Q.: What is 94662433 to the power of 1/6, to the nearest integer? Finding: 21 Q.: What is the sixth root of 5419 to the nearest integer? Finding: 4 Q.: What is the square root of 1270203 to the nearest integer? Finding: 1127 Q.: What is 1988311 to the power of 1/3, to the nearest integer? Finding: 126 Q.: What is the square root of 332958 to the nearest integer? Finding: 577 Q.: What is 53026 to the power of 1/2, to the nearest integer? Finding: 230 Q.: What is 1910 to the power of 1/4, to the nearest integer? Finding: 7 Q.: What is 315891 to the power of 1/2, to the nearest integer? Finding: 562 Q.: What is the fourth root of 5985 to the nearest integer? Finding: 9 Q.: What is the third root of 6113 to the nearest integer? Finding: 18 Q.: What is the cube root of 3560 to the nearest integer? Finding: 15 Q.: What is the square root of 4521663 to the nearest integer? Finding: 2126 Q.: What is 534433 to the power of 1/2, to the nearest integer? Finding: 731 Q.: What is the tenth root of 696 to the nearest integer? Finding: 2 Q.: What is the square root of 3209 to the nearest integer? Finding: 57 Q.: What is the eighth root of 122294149 to the nearest integer? Finding: 10 Q.: What is the sixth root of 54764 to the nearest integer? Finding: 6 Q.: What is the seventh root of 806662 to the nearest integer? Finding: 7 Q.: What is the square root of 2380634 to the nearest integer? Finding: 1543 Q.: What is the seventh root of 156226 to the nearest integer? F
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numbers: place value -------------------- Given: What is the units digit of 5028? Soln: 8 Given: What is the hundreds digit of 64630? Soln: 6 Given: What is the hundreds digit of 5677? Soln: 6 Given: What is the units digit of 10189558? Soln: 8 Given: What is the ten millions digit of 21090347? Soln: 2 Given: What is the thousands digit of 25073541? Soln: 3 Given: What is the units digit of 290399? Soln: 9 Given: What is the units digit of 749858196? Soln: 6 Given: What is the thousands digit of 125768? Soln: 5 Given: What is the thousands digit of 39367482? Soln: 7 Given: What is the tens digit of 11013? Soln: 1 Given: What is the millions digit of 9123532? Soln: 9 Given: What is the units digit of 8436? Soln: 6 Given: What is the units digit of 83197? Soln: 7 Given: What is the tens digit of 7299? Soln: 9 Given: What is the thousands digit of 626734? Soln: 6 Given: What is the hundred thousands digit of 81663320? Soln: 6 Given: What is the tens digit of 2359? Soln: 5 Given: What is the millions digit of 111940516? Soln: 1 Given: What is the units digit of 39928019? Soln: 9 Given: What is the ten millions digit of 137663205? Soln: 3 Given: What is the hundreds digit of 17786154? Soln: 1 Given: What is the units digit of 262046715? Soln: 5 Given: What is the hundred millions digit of 4431603949? Soln: 4 Given: What is the units digit of 24572558? Soln: 8 Given: What is the units digit of 1559842? Soln: 2 Given: What is the hundreds digit of 484482? Soln: 4 Given: What is the tens digit of 157597091? Soln: 9 Given: What is the units digit of 81710? Soln: 0 Given: What is the ten thousands digit of 30250837? Soln: 5 Given: What is the units digit of 4176? Soln: 6 Given: What is the millions digit of 1679628? Soln: 1 Given: What is the hundred thousands digit of 70623319? Soln: 6 Given: What is the tens digit of 2593594? Soln: 9 Given: What is the hundreds digit of 2012? Soln: 0 Given: What is the ten thousands digit of 8555517? Soln: 5 Given: What is the tens digit of
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measurement: time ----------------- Q: How many minutes are there between 6:29 AM and 3:45 PM? Final Answer: 556 Q: What is 689 minutes after 7:31 AM? Final Answer: 7:00 PM Q: What is 115 minutes before 11:57 AM? Final Answer: 10:02 AM Q: What is 110 minutes after 12:51 PM? Final Answer: 2:41 PM Q: How many minutes are there between 4:43 AM and 8:34 AM? Final Answer: 231 Q: How many minutes are there between 11:27 AM and 5:53 PM? Final Answer: 386 Q: What is 91 minutes after 7:50 PM? Final Answer: 9:21 PM Q: How many minutes are there between 9:00 PM and 9:33 PM? Final Answer: 33 Q: What is 424 minutes before 5:58 PM? Final Answer: 10:54 AM Q: How many minutes are there between 10:59 AM and 3:12 PM? Final Answer: 253 Q: What is 612 minutes after 4:26 AM? Final Answer: 2:38 PM Q: How many minutes are there between 7:26 PM and 8:22 PM? Final Answer: 56 Q: How many minutes are there between 8:12 AM and 3:08 PM? Final Answer: 416 Q: What is 373 minutes after 3:39 AM? Final Answer: 9:52 AM Q: What is 76 minutes after 3:14 PM? Final Answer: 4:30 PM Q: How many minutes are there between 1:50 PM and 8:35 PM? Final Answer: 405 Q: What is 332 minutes after 11:45 PM? Final Answer: 5:17 AM Q: How many minutes are there between 9:23 PM and 8:28 AM? Final Answer: 665 Q: How many minutes are there between 12:15 AM and 3:20 AM? Final Answer: 185 Q: What is 39 minutes after 3:56 PM? Final Answer: 4:35 PM Q: How many minutes are there between 10:34 PM and 3:26 AM? Final Answer: 292 Q: How many minutes are there between 1:29 PM and 12:57 AM? Final Answer: 688 Q: How many minutes are there between 6:57 AM and 5:02 PM? Final Answer: 605 Q: How many minutes are there between 11:13 PM and 8:16 AM? Final Answer: 543 Q: How many minutes are there between 12:38 AM and 4:36 AM? Final Answer: 238 Q: How many minutes are there between 4:43 AM and 11:47 AM? Final Answer: 424 Q: What is 328 minutes before 2:59 PM? Final Answer: 9:31 AM Q: How many minutes are there between 12:35 AM and 3:15 AM? F
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measurement: conversion ----------------------- Q: Convert 68.593 centimeters to micrometers. Therefore: 685930 Q: How many kilograms are there in 0.6647254t? Therefore: 664.7254 Q: What is 836988.2mm in micrometers? Therefore: 836988200 Q: Convert 0.0562635mg to grams. Therefore: 0.0000562635 Q: Convert 0.4080146 litres to millilitres. Therefore: 408.0146 Q: How many millimeters are there in 6/5 of a centimeter? Therefore: 12 Q: How many months are there in 3/5 of a decade? Therefore: 72 Q: How many years are there in 6847.798 decades? Therefore: 68477.98 Q: Convert 35.32175 centimeters to millimeters. Therefore: 353.2175 Q: What is one quarter of a centimeter in micrometers? Therefore: 2500 Q: How many micrograms are there in one quarter of a milligram? Therefore: 250 Q: What is 13/5 of a millennium in months? Therefore: 31200 Q: How many years are there in sixty-four fifths of a century? Therefore: 1280 Q: What is 4011.572 decades in millennia? Therefore: 40.11572 Q: What is 1/4 of a litre in millilitres? Therefore: 250 Q: What is 381918.3 nanometers in millimeters? Therefore: 0.3819183 Q: What is 5.131247 millilitres in litres? Therefore: 0.005131247 Q: What is three fifths of a millimeter in micrometers? Therefore: 600 Q: What is 7/4 of a kilogram in grams? Therefore: 1750 Q: How many years are there in 871368.6 millennia? Therefore: 871368600 Q: How many millilitres are there in 340.9602 litres? Therefore: 340960.2 Q: What is 1014618.3 months in centuries? Therefore: 845.51525 Q: What is 1/15 of a day in seconds? Therefore: 5760 Q: What is 1.534624l in millilitres? Therefore: 1534.624 Q: What is 1/45 of a hour in milliseconds? Therefore: 80000 Q: What is twenty-seven quarters of a hour in seconds? Therefore: 24300 Q: Convert 50.5439 decades to months. Therefore: 6065.268 Q: What is 49305.33 micrometers in nanometers? Therefore: 49305330 Q: How many months are there in 59/5 of a decade? Therefore: 1416 Q: How many minutes are there in 21/5 of a day? Therefore:
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measurement: conversion ----------------------- Inquiry: What is twenty-nine halves of a microsecond in nanoseconds? Therefore: 14500 Inquiry: How many seconds are there in 16/15 of a hour? Therefore: 3840 Inquiry: How many minutes are there in 1858497.9 seconds? Therefore: 30974.965 Inquiry: How many millilitres are there in thirteen fifths of a litre? Therefore: 2600 Inquiry: What is 2/45 of a day in minutes? Therefore: 64 Inquiry: What is 2.996145 millennia in months? Therefore: 35953.74 Inquiry: What is six fifths of a kilogram in grams? Therefore: 1200 Inquiry: Convert 567933.1kg to tonnes. Therefore: 567.9331 Inquiry: What is 1/15 of a minute in milliseconds? Therefore: 4000 Inquiry: Convert 7664.367 grams to kilograms. Therefore: 7.664367 Inquiry: How many micrometers are there in 42685.35 nanometers? Therefore: 42.68535 Inquiry: What is one tenth of a litre in millilitres? Therefore: 100 Inquiry: How many years are there in 15/4 of a millennium? Therefore: 3750 Inquiry: What is 49625.74 micrometers in centimeters? Therefore: 4.962574 Inquiry: How many nanograms are there in one quarter of a microgram? Therefore: 250 Inquiry: What is 9070.305 minutes in seconds? Therefore: 544218.3 Inquiry: Convert 951.2375g to kilograms. Therefore: 0.9512375 Inquiry: What is 45/2 of a meter in centimeters? Therefore: 2250 Inquiry: Convert 2.4280077 months to centuries. Therefore: 0.00202333975 Inquiry: Convert 5498.104l to millilitres. Therefore: 5498104 Inquiry: Convert 64.44108mg to kilograms. Therefore: 0.00006444108 Inquiry: How many centimeters are there in 29/5 of a meter? Therefore: 580 Inquiry: What is 92673.97kg in tonnes? Therefore: 92.67397 Inquiry: What is thirty-one halves of a litre in millilitres? Therefore: 15500 Inquiry: What is sixty-four fifths of a decade in years? Therefore: 128 Inquiry: What is one quarter of a kilometer in centimeters? Therefore: 25000 Inquiry: What is one tenth of a micrometer in nanometers? Therefore: 100 Inquiry: Convert 600194.4 de
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probability: swr p level set ---------------------------- Q/A: Three letters picked without replacement from yysyysy. What is prob of picking 3 y? Thus: 2/7 Q/A: What is prob of picking 2 d and 1 m when three letters picked without replacement from {p: 3, c: 3, m: 3, d: 2, i: 3}? Thus: 3/364 Q/A: Calculate prob of picking 2 w when two letters picked without replacement from kkkwwwwwkwhkwwk. Thus: 4/15 Q/A: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from ejrvzwzej. Thus: 1/9 Q/A: Three letters picked without replacement from {p: 1, c: 1, g: 1, r: 1, l: 1}. Give prob of picking 1 p, 1 r, and 1 c. Thus: 1/10 Q/A: What is prob of picking 2 m when two letters picked without replacement from mugmmcuumigmmuuuumcu? Thus: 21/190 Q/A: Two letters picked without replacement from ppdlpddldlpp. Give prob of picking 1 p and 1 d. Thus: 10/33 Q/A: What is prob of picking 4 f when four letters picked without replacement from ttffftttffhftttfffff? Thus: 22/323 Q/A: Two letters picked without replacement from {g: 1, q: 4, y: 6, v: 1, d: 4, n: 2}. What is prob of picking 1 y and 1 d? Thus: 8/51 Q/A: Two letters picked without replacement from gococgcgoooconcg. What is prob of picking 2 o? Thus: 1/8 Q/A: Four letters picked without replacement from {k: 8, h: 2}. What is prob of picking 4 k? Thus: 1/3 Q/A: Three letters picked without replacement from {g: 3, u: 4, p: 4, l: 1, f: 2}. What is prob of picking 1 g, 1 u, and 1 l? Thus: 3/91 Q/A: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {a: 2, s: 1, x: 2, u: 4, p: 1}. Thus: 2/45 Q/A: Calculate prob of picking 2 z when two letters picked without replacement from {h: 5, s: 4, z: 3}. Thus: 1/22 Q/A: Calculate prob of picking 2 b and 2 e when four letters picked without replacement from bbeebbeeee. Thus: 3/7 Q/A: Calculate prob of picking 2 w and 2 c when four letters picked without replacement from wwwwcwc. Thus: 2/7 Q/A: Two letters picked without replacement fr
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numbers: is factor ------------------ Prompt: Is 195048 a multiple of 516? Resolution: True Prompt: Is 17266 a multiple of 17? Resolution: False Prompt: Is 10 a factor of 19140? Resolution: True Prompt: Does 73 divide 7078591? Resolution: True Prompt: Does 9 divide 60462? Resolution: True Prompt: Is 800 a factor of 229206400? Resolution: True Prompt: Is 45 a factor of 246915? Resolution: True Prompt: Does 28 divide 86482676? Resolution: True Prompt: Is 29 a factor of 301162564? Resolution: True Prompt: Is 360 a multiple of 19? Resolution: False Prompt: Is 53677621 a multiple of 61? Resolution: True Prompt: Is 4875 a multiple of 21? Resolution: False Prompt: Is 12672 a multiple of 6? Resolution: True Prompt: Is 50 a factor of 127550? Resolution: True Prompt: Does 105 divide 145215? Resolution: True Prompt: Is 192 a factor of 169551990? Resolution: False Prompt: Is 66006 a multiple of 171? Resolution: True Prompt: Is 2 a factor of 84? Resolution: True Prompt: Does 111 divide 101349? Resolution: False Prompt: Does 10 divide 10470? Resolution: True Prompt: Is 7228 a multiple of 16? Resolution: False Prompt: Is 52801086 a multiple of 39? Resolution: True Prompt: Does 21 divide 1932709086? Resolution: True Prompt: Does 596 divide 312718? Resolution: False Prompt: Does 760 divide 8728011? Resolution: False Prompt: Does 335 divide 694021510? Resolution: True Prompt: Is 720 a multiple of 90? Resolution: True Prompt: Is 1210185620 a multiple of 7? Resolution: True Prompt: Is 17627 a multiple of 18? Resolution: False Prompt: Is 59026114 a multiple of 1286? Resolution: True Prompt: Is 144 a factor of 7902144? Resolution: True Prompt: Is 10 a factor of 20? Resolution: True Prompt: Is 2890813670 a multiple of 35? Resolution: False Prompt: Is 43462 a multiple of 31? Resolution: True Prompt: Does 417 divide 573391? Resolution: False Prompt: Does 172 divide 633641453? Resolution: False Prompt: Is 5 a factor of 270? Resolution: True Prompt: Is 2279 a multiple of 14? Resolution: False
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probability: swr p level set ---------------------------- Request: Three letters picked without replacement from {b: 2, y: 5, q: 2, r: 2, d: 7}. Give prob of picking 1 y and 2 d. Response: 35/272 Request: Two letters picked without replacement from {a: 6, v: 1, o: 3, y: 1, i: 1}. Give prob of picking 1 y and 1 o. Response: 1/22 Request: What is prob of picking 1 y and 1 o when two letters picked without replacement from {o: 4, y: 6, z: 7}? Response: 3/17 Request: Calculate prob of picking 2 c, 1 b, and 1 t when four letters picked without replacement from {t: 5, b: 1, q: 3, v: 3, h: 1, c: 2}. Response: 1/273 Request: Two letters picked without replacement from {h: 6, v: 4}. Give prob of picking 2 h. Response: 1/3 Request: Calculate prob of picking 2 w when two letters picked without replacement from {u: 2, z: 1, w: 3, a: 3, b: 1, r: 2}. Response: 1/22 Request: Two letters picked without replacement from mohvmovmommdwmmm. Give prob of picking 1 m and 1 o. Response: 1/5 Request: What is prob of picking 1 k, 1 s, and 1 o when three letters picked without replacement from {o: 5, k: 5, s: 7, n: 1}? Response: 175/816 Request: Four letters picked without replacement from {r: 2, z: 2, s: 1, b: 1, n: 2, p: 4}. Give prob of picking 3 p and 1 s. Response: 4/495 Request: Three letters picked without replacement from {n: 4, w: 3}. Give prob of picking 1 w and 2 n. Response: 18/35 Request: Two letters picked without replacement from {c: 2, k: 1, b: 1, e: 2, z: 2}. Give prob of picking 2 z. Response: 1/28 Request: Calculate prob of picking 2 q and 1 u when three letters picked without replacement from {u: 9, q: 7}. Response: 27/80 Request: Three letters picked without replacement from fnnnnffnffnfn. Give prob of picking 3 n. Response: 35/286 Request: What is prob of picking 1 n, 1 q, and 1 p when three letters picked without replacement from {m: 5, n: 1, f: 1, p: 1, q: 2}? Response: 1/60 Request: Calculate prob of picking 1 l and 2 c when three letters picked without replacement f
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measurement: conversion ----------------------- Qn: What is 6/5 of a century in months? Answer: 1440 Qn: How many kilograms are there in 3/5 of a tonne? Answer: 600 Qn: What is 21/2 of a millennium in centuries? Answer: 105 Qn: What is 2/125 of a millimeter in micrometers? Answer: 16 Qn: What is 772.1162 litres in millilitres? Answer: 772116.2 Qn: How many micrograms are there in 0.89684g? Answer: 896840 Qn: Convert 13369.91nm to kilometers. Answer: 0.00000001336991 Qn: How many millimeters are there in 3/10 of a centimeter? Answer: 3 Qn: What is 930.161mm in micrometers? Answer: 930161 Qn: What is six fifths of a meter in centimeters? Answer: 120 Qn: How many micrometers are there in 0.6074486km? Answer: 607448600 Qn: How many months are there in three fifths of a decade? Answer: 72 Qn: What is 0.321694 milligrams in grams? Answer: 0.000321694 Qn: What is 88.0252 tonnes in kilograms? Answer: 88025.2 Qn: How many micrometers are there in fourty-two fifths of a centimeter? Answer: 84000 Qn: What is fourty-six fifths of a meter in centimeters? Answer: 920 Qn: Convert 29276.409 months to years. Answer: 2439.70075 Qn: Convert 6465.784 days to seconds. Answer: 558643737.6 Qn: Convert 79875.95mm to kilometers. Answer: 0.07987595 Qn: What is 1/16 of a kilogram in milligrams? Answer: 62500 Qn: How many minutes are there in 5/4 of a week? Answer: 12600 Qn: What is 7/8 of a day in minutes? Answer: 1260 Qn: What is 55/2 of a century in years? Answer: 2750 Qn: How many millilitres are there in seven halves of a litre? Answer: 3500 Qn: How many millilitres are there in 503947.6 litres? Answer: 503947600 Qn: How many hours are there in 21/2 of a week? Answer: 1764 Qn: How many millilitres are there in one quarter of a litre? Answer: 250 Qn: Convert 585441.6 grams to kilograms. Answer: 585.4416 Qn: What is 25/4 of a litre in millilitres? Answer: 6250 Qn: What is 7.50439 micrometers in kilometers? Answer: 0.00000000750439 Qn: What is 0.5439524 litres in millilitres? Answer: 543.952
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numbers: gcd ------------ Puzzle: What is the highest common factor of 247 and 13? Result: 13 Puzzle: Calculate the highest common divisor of 2052376 and 7752. Result: 136 Puzzle: Calculate the highest common factor of 129152 and 43318388. Result: 4036 Puzzle: Calculate the highest common divisor of 70148 and 1235. Result: 247 Puzzle: What is the greatest common factor of 2486965 and 1430? Result: 65 Puzzle: Calculate the greatest common divisor of 9588 and 203268. Result: 12 Puzzle: What is the greatest common factor of 419328 and 33012? Result: 252 Puzzle: Calculate the highest common factor of 136 and 833. Result: 17 Puzzle: What is the highest common factor of 7208 and 6044650? Result: 106 Puzzle: Calculate the greatest common factor of 9564972 and 4920. Result: 492 Puzzle: Calculate the greatest common factor of 29754561 and 8118. Result: 123 Puzzle: What is the greatest common factor of 90 and 3? Result: 3 Puzzle: Calculate the greatest common divisor of 594 and 473550. Result: 66 Puzzle: Calculate the highest common divisor of 5936 and 8590982. Result: 106 Puzzle: Calculate the highest common divisor of 279604 and 728. Result: 52 Puzzle: What is the greatest common divisor of 77 and 649? Result: 11 Puzzle: What is the highest common factor of 2213328818 and 2946? Result: 982 Puzzle: Calculate the highest common divisor of 83861 and 646. Result: 17 Puzzle: What is the greatest common divisor of 25 and 290? Result: 5 Puzzle: What is the highest common factor of 2363 and 68? Result: 17 Puzzle: Calculate the highest common divisor of 348 and 117885. Result: 87 Puzzle: Calculate the highest common factor of 416 and 533. Result: 13 Puzzle: Calculate the highest common divisor of 225901 and 26. Result: 13 Puzzle: What is the highest common factor of 4133019 and 693? Result: 33 Puzzle: What is the highest common divisor of 2693727 and 458? Result: 229 Puzzle: What is the greatest common divisor of 36 and 306? Result: 18 Puzzle: What is the greatest common factor of 1
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numbers: is prime ----------------- Subject: Is 2554647701 a composite number? Solution: False Subject: Is 682937917 prime? Solution: True Subject: Is 6 prime? Solution: False Subject: Is 532477 prime? Solution: False Subject: Is 75289 a prime number? Solution: True Subject: Is 419362831 prime? Solution: False Subject: Is 9526574809 prime? Solution: True Subject: Is 149334667 prime? Solution: True Subject: Is 2065776987 composite? Solution: True Subject: Is 3575899819 composite? Solution: False Subject: Is 12498322 a prime number? Solution: False Subject: Is 257151161 composite? Solution: False Subject: Is 404438459 a composite number? Solution: False Subject: Is 862412719 a prime number? Solution: False Subject: Is 21809181089 prime? Solution: False Subject: Is 343856077 a prime number? Solution: True Subject: Is 529022203 a composite number? Solution: True Subject: Is 740618471 composite? Solution: False Subject: Is 440117 composite? Solution: True Subject: Is 477401707 a composite number? Solution: True Subject: Is 11657 composite? Solution: False Subject: Is 303119 prime? Solution: True Subject: Is 43373 a prime number? Solution: False Subject: Is 181463879 prime? Solution: True Subject: Is 141251 a prime number? Solution: False Subject: Is 13381 a prime number? Solution: True Subject: Is 9228881 composite? Solution: False Subject: Is 7431419 a prime number? Solution: True Subject: Is 19411432463 prime? Solution: True Subject: Is 14314508399 composite? Solution: True Subject: Is 2499540629 a prime number? Solution: True Subject: Is 588672551 a composite number? Solution: False Subject: Is 810380297 prime? Solution: False Subject: Is 305939317 a prime number? Solution: False Subject: Is 121437059 prime? Solution: False Subject: Is 52770451 a prime number? Solution: False Subject: Is 6879 prime? Solution: False Subject: Is 7894 a composite number? Solution: True Subject: Is 6326 prime? Solution: False Subject: Is 4185547 prime? Solution: True Subject: Is 3169817 c
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probability: swr p level set ---------------------------- Challenge: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from accma. Ans: 1/5 Challenge: Two letters picked without replacement from pqpqppqqqbqqpqqqpqpq. Give prob of picking 1 p and 1 b. Ans: 7/190 Challenge: What is prob of picking 2 z when two letters picked without replacement from tttzz? Ans: 1/10 Challenge: Two letters picked without replacement from {c: 2, n: 3}. What is prob of picking 1 c and 1 n? Ans: 3/5 Challenge: Two letters picked without replacement from {z: 11, n: 4, o: 3}. What is prob of picking 2 n? Ans: 2/51 Challenge: Calculate prob of picking 2 e and 2 t when four letters picked without replacement from {e: 3, l: 1, t: 3}. Ans: 9/35 Challenge: Two letters picked without replacement from mmmmmmmmm. What is prob of picking 2 m? Ans: 1 Challenge: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from snsssnsssnnsn. Ans: 20/39 Challenge: Three letters picked without replacement from wrwrwwwww. What is prob of picking 3 w? Ans: 5/12 Challenge: Four letters picked without replacement from ujxuuxuunzzuxjx. What is prob of picking 2 j and 2 u? Ans: 1/91 Challenge: Three letters picked without replacement from {m: 2, f: 14, y: 1}. What is prob of picking 1 f and 2 m? Ans: 7/340 Challenge: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 2, b: 7, c: 2}. Ans: 14/55 Challenge: Three letters picked without replacement from {e: 4, m: 6}. What is prob of picking 1 m and 2 e? Ans: 3/10 Challenge: What is prob of picking 2 v and 2 o when four letters picked without replacement from kookyoovkyvk? Ans: 2/165 Challenge: Four letters picked without replacement from {m: 8, x: 2, o: 7, j: 1}. What is prob of picking 1 j, 1 o, and 2 m? Ans: 49/765 Challenge: Calculate prob of picking 2 i, 1 c, and 1 z when four letters picked without replacement from {z: 13, c: 2, i: 5}. Ans: 52/969 Challenge: Two lett
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arithmetic: nearest integer root -------------------------------- Q: What is the square root of 1716 to the nearest integer? Explanation: 41 Q: What is the ninth root of 1401305740 to the nearest integer? Explanation: 10 Q: What is 257201 to the power of 1/3, to the nearest integer? Explanation: 64 Q: What is 480356232 to the power of 1/3, to the nearest integer? Explanation: 783 Q: What is the cube root of 677571 to the nearest integer? Explanation: 88 Q: What is 5350 to the power of 1/2, to the nearest integer? Explanation: 73 Q: What is the third root of 12948 to the nearest integer? Explanation: 23 Q: What is the square root of 16220 to the nearest integer? Explanation: 127 Q: What is the cube root of 89631522 to the nearest integer? Explanation: 448 Q: What is 242053506 to the power of 1/3, to the nearest integer? Explanation: 623 Q: What is 152832 to the power of 1/2, to the nearest integer? Explanation: 391 Q: What is 7600260 to the power of 1/3, to the nearest integer? Explanation: 197 Q: What is 666 to the power of 1/8, to the nearest integer? Explanation: 2 Q: What is 205952 to the power of 1/9, to the nearest integer? Explanation: 4 Q: What is the seventh root of 4749 to the nearest integer? Explanation: 3 Q: What is the fourth root of 2264 to the nearest integer? Explanation: 7 Q: What is 10818617 to the power of 1/5, to the nearest integer? Explanation: 26 Q: What is 23837713 to the power of 1/9, to the nearest integer? Explanation: 7 Q: What is the square root of 147323394 to the nearest integer? Explanation: 12138 Q: What is 1260025 to the power of 1/2, to the nearest integer? Explanation: 1123 Q: What is the square root of 269721 to the nearest integer? Explanation: 519 Q: What is the square root of 10909060 to the nearest integer? Explanation: 3303 Q: What is 750294094 to the power of 1/2, to the nearest integer? Explanation: 27391 Q: What is the square root of 988 to the nearest integer? Explanation: 31 Q: What is 3653 to the power of 1/7, to the n
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probability: swr p level set ---------------------------- Input: Three letters picked without replacement from {s: 1, l: 3, d: 4, q: 3, c: 4, j: 2}. What is prob of picking 3 d? Resolution: 1/170 Input: Calculate prob of picking 2 x when two letters picked without replacement from {x: 4, d: 9, g: 1, w: 1, u: 2}. Resolution: 3/68 Input: What is prob of picking 1 p, 1 s, and 1 q when three letters picked without replacement from {m: 2, a: 1, q: 1, s: 2, p: 1}? Resolution: 2/35 Input: What is prob of picking 1 l, 1 u, and 2 r when four letters picked without replacement from lkyrzrkuzlzkry? Resolution: 6/1001 Input: What is prob of picking 1 v, 2 i, and 1 t when four letters picked without replacement from {t: 1, w: 1, v: 4, i: 7}? Resolution: 84/715 Input: What is prob of picking 2 d when two letters picked without replacement from {x: 9, b: 1, d: 9}? Resolution: 4/19 Input: Three letters picked without replacement from {e: 7}. What is prob of picking 3 e? Resolution: 1 Input: Four letters picked without replacement from lrlrllllll. What is prob of picking 2 l and 2 r? Resolution: 2/15 Input: What is prob of picking 2 v when two letters picked without replacement from ccccccccccccvcccvcc? Resolution: 1/171 Input: What is prob of picking 2 u and 2 a when four letters picked without replacement from auuuauauau? Resolution: 3/7 Input: What is prob of picking 3 q when three letters picked without replacement from {q: 5, p: 3}? Resolution: 5/28 Input: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, d: 9}. Resolution: 1/55 Input: What is prob of picking 1 h and 2 f when three letters picked without replacement from hhfehffeeffhfhfhfhf? Resolution: 84/323 Input: Four letters picked without replacement from {p: 5, u: 11}. What is prob of picking 2 p and 2 u? Resolution: 55/182 Input: Calculate prob of picking 2 d and 1 v when three letters picked without replacement from vedtveddd. Resolution: 1/7 Input: Three letters picked without repla
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measurement: conversion ----------------------- Challenge: What is fifty-nine fifths of a milligram in micrograms? Gives: 11800 Challenge: Convert 16.1046 months to years. Gives: 1.34205 Challenge: What is 2532.9 weeks in minutes? Gives: 25531632 Challenge: What is 2.7143304 months in millennia? Gives: 0.0002261942 Challenge: How many millennia are there in 0.9372492 centuries? Gives: 0.09372492 Challenge: What is 6/5 of a millimeter in micrometers? Gives: 1200 Challenge: How many minutes are there in 4/7 of a week? Gives: 5760 Challenge: How many months are there in 1/5 of a century? Gives: 240 Challenge: How many hours are there in 36198.432 milliseconds? Gives: 0.01005512 Challenge: Convert 0.8981928mm to meters. Gives: 0.0008981928 Challenge: What is 1/4 of a millennium in years? Gives: 250 Challenge: How many centuries are there in 0.7141805 millennia? Gives: 7.141805 Challenge: How many seconds are there in 0.3881886 nanoseconds? Gives: 0.0000000003881886 Challenge: What is 62.05806ml in litres? Gives: 0.06205806 Challenge: Convert 4345.511 decades to years. Gives: 43455.11 Challenge: Convert 0.0307562cm to kilometers. Gives: 0.000000307562 Challenge: What is 1/10 of a meter in micrometers? Gives: 100000 Challenge: How many hours are there in 1.3207851ns? Gives: 0.00000000000036688475 Challenge: Convert 9.25268 years to millennia. Gives: 0.00925268 Challenge: What is 608.2784 decades in months? Gives: 72993.408 Challenge: What is 3717.303 nanograms in micrograms? Gives: 3.717303 Challenge: How many millilitres are there in 17/4 of a litre? Gives: 4250 Challenge: Convert 453.448cm to millimeters. Gives: 4534.48 Challenge: How many litres are there in 343.6177ml? Gives: 0.3436177 Challenge: How many millilitres are there in 34/5 of a litre? Gives: 6800 Challenge: What is fifteen quarters of a gram in milligrams? Gives: 3750 Challenge: How many millilitres are there in 21/5 of a litre? Gives: 4200 Challenge: How many minutes are there in twenty-nine thirds of a h
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numbers: place value -------------------- Scenario: What is the tens digit of 12686? Yields: 8 Scenario: What is the ten thousands digit of 479304? Yields: 7 Scenario: What is the billions digit of 1288250329? Yields: 1 Scenario: What is the hundreds digit of 6913? Yields: 9 Scenario: What is the hundreds digit of 13456? Yields: 4 Scenario: What is the thousands digit of 44705019? Yields: 5 Scenario: What is the ten thousands digit of 150122? Yields: 5 Scenario: What is the ten thousands digit of 294559? Yields: 9 Scenario: What is the hundreds digit of 214883072? Yields: 0 Scenario: What is the thousands digit of 1579145? Yields: 9 Scenario: What is the tens digit of 2612? Yields: 1 Scenario: What is the tens digit of 13777? Yields: 7 Scenario: What is the thousands digit of 1472228? Yields: 2 Scenario: What is the units digit of 336281? Yields: 1 Scenario: What is the ten thousands digit of 366676905? Yields: 7 Scenario: What is the ten thousands digit of 75557183? Yields: 5 Scenario: What is the hundred thousands digit of 587455? Yields: 5 Scenario: What is the units digit of 4998736? Yields: 6 Scenario: What is the hundreds digit of 2995? Yields: 9 Scenario: What is the units digit of 171205? Yields: 5 Scenario: What is the tens digit of 122? Yields: 2 Scenario: What is the tens digit of 115068? Yields: 6 Scenario: What is the thousands digit of 39626516? Yields: 6 Scenario: What is the ten thousands digit of 3827980714? Yields: 8 Scenario: What is the hundreds digit of 242278? Yields: 2 Scenario: What is the ten thousands digit of 1534440986? Yields: 4 Scenario: What is the units digit of 32426? Yields: 6 Scenario: What is the ten millions digit of 908980651? Yields: 0 Scenario: What is the thousands digit of 2205076? Yields: 5 Scenario: What is the millions digit of 1319597942? Yields: 9 Scenario: What is the millions digit of 127083190? Yields: 7 Scenario: What is the ten thousands digit of 232399? Yields: 3 Scenario: What is the ten thousands digit of 325981
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probability: swr p sequence --------------------------- Problem: Four letters picked without replacement from {r: 1, j: 2, d: 1, e: 1}. What is prob of sequence ejrj? A.: 1/60 Problem: Four letters picked without replacement from iivvviiviiviv. What is prob of sequence vvvv? A.: 3/143 Problem: Four letters picked without replacement from {l: 7}. What is prob of sequence llll? A.: 1 Problem: Three letters picked without replacement from {n: 3, p: 2, j: 1, i: 1}. Give prob of sequence inj. A.: 1/70 Problem: Four letters picked without replacement from {a: 1, k: 2, q: 1, r: 2, s: 2}. What is prob of sequence arkr? A.: 1/420 Problem: Three letters picked without replacement from {w: 2, l: 2, h: 2, d: 1, o: 1, n: 4}. Give prob of sequence how. A.: 1/330 Problem: Two letters picked without replacement from veerrvvfevfferfeevr. What is prob of sequence ef? A.: 4/57 Problem: What is prob of sequence lqq when three letters picked without replacement from bbvbqqvvvllvqlvqvvbv? A.: 1/190 Problem: Three letters picked without replacement from kkxkkkkkkkkkkkkkkkkx. Give prob of sequence kxk. A.: 17/190 Problem: Three letters picked without replacement from {z: 11, c: 1, b: 1, j: 3, q: 2}. Give prob of sequence zzb. A.: 55/2448 Problem: Four letters picked without replacement from {r: 11, t: 5}. What is prob of sequence rttt? A.: 11/728 Problem: What is prob of sequence rd when two letters picked without replacement from {r: 13, i: 3, d: 1}? A.: 13/272 Problem: What is prob of sequence qx when two letters picked without replacement from {r: 4, q: 2, a: 1, m: 5, x: 1, p: 2}? A.: 1/105 Problem: Calculate prob of sequence zbzb when four letters picked without replacement from bzbz. A.: 1/6 Problem: Three letters picked without replacement from {h: 4, w: 1, p: 1, i: 1, b: 5, s: 3}. What is prob of sequence hhs? A.: 6/455 Problem: Three letters picked without replacement from {m: 3, v: 1, o: 1, g: 1, f: 1}. What is prob of sequence vmf? A.: 1/70 Problem: What is prob of sequence bl wh
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numbers: gcd ------------ Qn: What is the highest common factor of 814 and 74? Conclusion: 74 Qn: What is the greatest common factor of 33396 and 414? Conclusion: 138 Qn: What is the greatest common divisor of 1280 and 31760? Conclusion: 80 Qn: Calculate the highest common factor of 30275245 and 897. Conclusion: 299 Qn: What is the greatest common divisor of 14 and 35? Conclusion: 7 Qn: Calculate the greatest common factor of 35 and 14. Conclusion: 7 Qn: Calculate the greatest common divisor of 10682 and 20492. Conclusion: 218 Qn: What is the greatest common factor of 18189 and 1161? Conclusion: 387 Qn: Calculate the greatest common divisor of 329904 and 190548. Conclusion: 2844 Qn: Calculate the highest common factor of 40289683 and 4229. Conclusion: 4229 Qn: What is the greatest common factor of 17832 and 48? Conclusion: 24 Qn: What is the greatest common divisor of 64 and 1? Conclusion: 1 Qn: What is the greatest common factor of 149472 and 336? Conclusion: 48 Qn: Calculate the highest common divisor of 259 and 28. Conclusion: 7 Qn: Calculate the highest common factor of 20 and 20. Conclusion: 20 Qn: Calculate the greatest common divisor of 42555578 and 1384. Conclusion: 346 Qn: Calculate the greatest common divisor of 90 and 1458. Conclusion: 18 Qn: What is the greatest common divisor of 1812 and 30904566? Conclusion: 906 Qn: What is the highest common divisor of 89529 and 1386343? Conclusion: 2713 Qn: What is the greatest common factor of 35 and 49? Conclusion: 7 Qn: Calculate the highest common factor of 8190 and 25790. Conclusion: 10 Qn: Calculate the greatest common divisor of 437758 and 752. Conclusion: 94 Qn: Calculate the highest common factor of 5372 and 2924. Conclusion: 68 Qn: Calculate the greatest common divisor of 646585 and 445. Conclusion: 445 Qn: What is the greatest common factor of 7622453 and 670243? Conclusion: 4163 Qn: What is the highest common divisor of 100 and 14225? Conclusion: 25 Qn: What is the highest common divisor of 44 and 21395?
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numbers: is prime ----------------- Prompt: Is 28546561 a prime number? Response: False Prompt: Is 3569021 a prime number? Response: True Prompt: Is 227441 a prime number? Response: False Prompt: Is 7360216579 a prime number? Response: True Prompt: Is 15912509 a composite number? Response: False Prompt: Is 62753 a composite number? Response: False Prompt: Is 758724641 a composite number? Response: False Prompt: Is 10660457 prime? Response: False Prompt: Is 90554293 a prime number? Response: True Prompt: Is 71879 composite? Response: False Prompt: Is 35491 a prime number? Response: True Prompt: Is 430985015 composite? Response: True Prompt: Is 3593 prime? Response: True Prompt: Is 13485587 a composite number? Response: False Prompt: Is 1854301 a composite number? Response: True Prompt: Is 26981 a prime number? Response: True Prompt: Is 29857 prime? Response: False Prompt: Is 856934017 composite? Response: False Prompt: Is 67963547 prime? Response: True Prompt: Is 7079833 a composite number? Response: False Prompt: Is 752351 composite? Response: False Prompt: Is 6557431 a prime number? Response: False Prompt: Is 7675009 prime? Response: True Prompt: Is 6376181 composite? Response: True Prompt: Is 306419629 a composite number? Response: False Prompt: Is 6581 composite? Response: False Prompt: Is 919817117 prime? Response: True Prompt: Is 5182 prime? Response: False Prompt: Is 109153 a composite number? Response: True Prompt: Is 55367349535 prime? Response: False Prompt: Is 13997 composite? Response: False Prompt: Is 17105327 a composite number? Response: False Prompt: Is 36053219 prime? Response: True Prompt: Is 1023643051 a composite number? Response: False Prompt: Is 73917817867 a prime number? Response: False Prompt: Is 13238755 a prime number? Response: False Prompt: Is 2246483 a composite number? Response: False Prompt: Is 28348709 composite? Response: False Prompt: Is 4001423 a prime number? Response: False Prompt: Is 25924941593 a composite number? Response: Tru
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numbers: is prime ----------------- Test item: Is 4441747 prime? Steps: True Test item: Is 3049 prime? Steps: True Test item: Is 897011021 a composite number? Steps: False Test item: Is 67705531031 composite? Steps: True Test item: Is 106026589 a prime number? Steps: False Test item: Is 42321098399 composite? Steps: True Test item: Is 16811 a prime number? Steps: True Test item: Is 8637226714 a composite number? Steps: True Test item: Is 61331 a prime number? Steps: True Test item: Is 33529 composite? Steps: False Test item: Is 30307 a prime number? Steps: True Test item: Is 4618 composite? Steps: True Test item: Is 285661 a prime number? Steps: True Test item: Is 47207 a composite number? Steps: False Test item: Is 689008421 composite? Steps: False Test item: Is 4156115701 composite? Steps: True Test item: Is 12764165 a prime number? Steps: False Test item: Is 29354522191 composite? Steps: True Test item: Is 1337218873 a composite number? Steps: True Test item: Is 4399 composite? Steps: True Test item: Is 13033 prime? Steps: True Test item: Is 105863 a composite number? Steps: False Test item: Is 1862573641 composite? Steps: False Test item: Is 15229783157 a composite number? Steps: True Test item: Is 3850436281 a composite number? Steps: True Test item: Is 5594851167 prime? Steps: False Test item: Is 1762451 composite? Steps: False Test item: Is 404967 a prime number? Steps: False Test item: Is 11399369 composite? Steps: True Test item: Is 1347790723 a composite number? Steps: True Test item: Is 3785208397 a prime number? Steps: True Test item: Is 58967707 a composite number? Steps: False Test item: Is 318881 a prime number? Steps: True Test item: Is 7327 prime? Steps: False Test item: Is 9797 prime? Steps: False Test item: Is 52502291 a prime number? Steps: True Test item: Is 50455 a prime number? Steps: False Test item: Is 105709 a composite number? Steps: True Test item: Is 70351 composite? Steps: False Test item: Is 47053 a prime number? Steps: False Test item
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numbers: is prime ----------------- Issue: Is 44531392613 composite? Solution: True Issue: Is 115090981 a prime number? Solution: True Issue: Is 2298203 composite? Solution: False Issue: Is 26927 a composite number? Solution: False Issue: Is 1253501 composite? Solution: True Issue: Is 1344152423 prime? Solution: True Issue: Is 284341 composite? Solution: False Issue: Is 71371 a composite number? Solution: True Issue: Is 383107 a composite number? Solution: False Issue: Is 63316133 a prime number? Solution: True Issue: Is 47267 prime? Solution: False Issue: Is 269554 a composite number? Solution: True Issue: Is 12143 a prime number? Solution: True Issue: Is 382172702 a prime number? Solution: False Issue: Is 23314747961 prime? Solution: False Issue: Is 43151 prime? Solution: True Issue: Is 138504263 prime? Solution: False Issue: Is 8812207 composite? Solution: False Issue: Is 1886964289 prime? Solution: False Issue: Is 1644103 a composite number? Solution: False Issue: Is 29315200199 composite? Solution: True Issue: Is 19485006917 prime? Solution: True Issue: Is 14079623 a composite number? Solution: False Issue: Is 17513921 prime? Solution: True Issue: Is 1759129 prime? Solution: True Issue: Is 62663 a composite number? Solution: True Issue: Is 4020847 a prime number? Solution: True Issue: Is 40085339 composite? Solution: True Issue: Is 32530749133 composite? Solution: False Issue: Is 2683 prime? Solution: True Issue: Is 11558 prime? Solution: False Issue: Is 114916559 a composite number? Solution: True Issue: Is 811 prime? Solution: True Issue: Is 102354403 a composite number? Solution: False Issue: Is 262471477 a prime number? Solution: True Issue: Is 51229 a prime number? Solution: True Issue: Is 215146079 a composite number? Solution: True Issue: Is 15884419 prime? Solution: True Issue: Is 1102705553 a prime number? Solution: False Issue: Is 6383101843 prime? Solution: False Issue: Is 36286499 a composite number? Solution: False Issue: Is 28853179 a composite nu
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numbers: div remainder ---------------------- Let: What is the remainder when 11638618 is divided by 11638315? β†’: 303 Let: What is the remainder when 8184684 is divided by 133? β†’: 130 Let: Calculate the remainder when 1262939 is divided by 40. β†’: 19 Let: Calculate the remainder when 194 is divided by 193. β†’: 1 Let: What is the remainder when 377673 is divided by 234? β†’: 231 Let: What is the remainder when 478 is divided by 20? β†’: 18 Let: What is the remainder when 1460 is divided by 135? β†’: 110 Let: Calculate the remainder when 183078 is divided by 61019. β†’: 21 Let: Calculate the remainder when 11728 is divided by 1418. β†’: 384 Let: What is the remainder when 16614 is divided by 2934? β†’: 1944 Let: What is the remainder when 106298595 is divided by 3964? β†’: 3935 Let: Calculate the remainder when 547 is divided by 270. β†’: 7 Let: Calculate the remainder when 4288 is divided by 33. β†’: 31 Let: What is the remainder when 101 is divided by 34? β†’: 33 Let: Calculate the remainder when 844419 is divided by 70364. β†’: 51 Let: What is the remainder when 136248664 is divided by 27? β†’: 22 Let: Calculate the remainder when 412388 is divided by 10677. β†’: 6662 Let: What is the remainder when 38001 is divided by 799? β†’: 448 Let: What is the remainder when 23648136 is divided by 28? β†’: 8 Let: What is the remainder when 12469117 is divided by 16? β†’: 13 Let: What is the remainder when 6381 is divided by 290? β†’: 1 Let: What is the remainder when 1456107 is divided by 448? β†’: 107 Let: What is the remainder when 46226 is divided by 138? β†’: 134 Let: What is the remainder when 3527 is divided by 1158? β†’: 53 Let: Calculate the remainder when 233310 is divided by 116335. β†’: 640 Let: What is the remainder when 28378 is divided by 165? β†’: 163 Let: Calculate the remainder when 39976 is divided by 2005. β†’: 1881 Let: Calculate the remainder when 2362733 is divided by 57. β†’: 26 Let: What is the remainder when 459 is divided by 21? β†’: 18 Let: Calculate the remainder when 6571 is divided by 274. β†’: 269
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numbers: is factor ------------------ Topic: Does 9 divide 312? Response: False Topic: Is 2402015 a multiple of 558? Response: False Topic: Is 22 a factor of 908? Response: False Topic: Is 42 a factor of 31169334? Response: True Topic: Does 27 divide 1670247? Response: True Topic: Is 739 a factor of 6557886? Response: True Topic: Is 1119689724 a multiple of 9? Response: False Topic: Is 411840 a multiple of 165? Response: True Topic: Is 11 a factor of 19260? Response: False Topic: Does 31 divide 21352? Response: False Topic: Does 57 divide 346959? Response: True Topic: Is 96 a factor of 56430624? Response: True Topic: Is 247 a factor of 53837? Response: False Topic: Is 48 a factor of 3686? Response: False Topic: Does 121 divide 11858? Response: True Topic: Is 3438 a multiple of 3? Response: True Topic: Is 18031399 a multiple of 4? Response: False Topic: Is 36 a factor of 2486? Response: False Topic: Is 34739 a multiple of 32? Response: False Topic: Is 14 a factor of 8353? Response: False Topic: Does 8 divide 320? Response: True Topic: Is 1935 a multiple of 45? Response: True Topic: Is 16 a factor of 285312? Response: True Topic: Does 46 divide 626? Response: False Topic: Is 181 a factor of 1103195? Response: True Topic: Is 793737 a multiple of 293? Response: True Topic: Does 12 divide 504? Response: True Topic: Does 912 divide 3252192? Response: True Topic: Does 3 divide 317? Response: False Topic: Is 171 a factor of 4704? Response: False Topic: Is 1842094 a multiple of 38? Response: False Topic: Is 59505341 a multiple of 510? Response: False Topic: Is 19 a factor of 3249? Response: True Topic: Is 3 a factor of 309555? Response: True Topic: Is 151943 a multiple of 375? Response: False Topic: Is 21 a factor of 2268? Response: True Topic: Is 954387 a multiple of 21? Response: True Topic: Is 25279 a multiple of 15? Response: False Topic: Does 117 divide 11683039? Response: False Topic: Is 11 a factor of 1510396? Response: False Topic: Is 104 a factor of 73140? Response:
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numbers: div remainder ---------------------- Problem #: Calculate the remainder when 18913 is divided by 332. β†’: 321 Problem #: Calculate the remainder when 146005 is divided by 441. β†’: 34 Problem #: What is the remainder when 534274 is divided by 1950? β†’: 1924 Problem #: What is the remainder when 2936034 is divided by 3941? β†’: 3930 Problem #: Calculate the remainder when 1056 is divided by 188. β†’: 116 Problem #: Calculate the remainder when 5350 is divided by 80. β†’: 70 Problem #: Calculate the remainder when 2337 is divided by 39. β†’: 36 Problem #: Calculate the remainder when 37131057 is divided by 38240. β†’: 17 Problem #: What is the remainder when 564 is divided by 101? β†’: 59 Problem #: Calculate the remainder when 148 is divided by 40. β†’: 28 Problem #: What is the remainder when 3550130 is divided by 8180? β†’: 10 Problem #: What is the remainder when 276947 is divided by 471? β†’: 470 Problem #: What is the remainder when 189 is divided by 35? β†’: 14 Problem #: Calculate the remainder when 22 is divided by 5. β†’: 2 Problem #: What is the remainder when 652 is divided by 4? β†’: 0 Problem #: Calculate the remainder when 25748815 is divided by 44. β†’: 15 Problem #: Calculate the remainder when 125 is divided by 36. β†’: 17 Problem #: Calculate the remainder when 79543 is divided by 82. β†’: 3 Problem #: Calculate the remainder when 20073870 is divided by 34. β†’: 32 Problem #: Calculate the remainder when 2950 is divided by 19. β†’: 5 Problem #: What is the remainder when 41491 is divided by 146? β†’: 27 Problem #: Calculate the remainder when 22287 is divided by 5. β†’: 2 Problem #: What is the remainder when 340716 is divided by 137? β†’: 134 Problem #: Calculate the remainder when 203 is divided by 68. β†’: 67 Problem #: Calculate the remainder when 2746747 is divided by 130797. β†’: 10 Problem #: What is the remainder when 12029 is divided by 53? β†’: 51 Problem #: What is the remainder when 175 is divided by 59? β†’: 57 Problem #: What is the remainder when 1312669 is divided by 656277?
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measurement: time ----------------- Q.: How many minutes are there between 4:38 AM and 4:17 PM? Final Answer: 699 Q.: How many minutes are there between 5:05 AM and 3:33 PM? Final Answer: 628 Q.: How many minutes are there between 12:11 PM and 12:51 PM? Final Answer: 40 Q.: What is 322 minutes before 12:16 PM? Final Answer: 6:54 AM Q.: What is 559 minutes after 9:15 AM? Final Answer: 6:34 PM Q.: What is 145 minutes before 7:24 AM? Final Answer: 4:59 AM Q.: What is 38 minutes after 3:57 AM? Final Answer: 4:35 AM Q.: How many minutes are there between 6:24 PM and 2:12 AM? Final Answer: 468 Q.: How many minutes are there between 10:40 PM and 11:07 PM? Final Answer: 27 Q.: How many minutes are there between 8:59 AM and 4:37 PM? Final Answer: 458 Q.: What is 283 minutes after 3:03 PM? Final Answer: 7:46 PM Q.: How many minutes are there between 11:26 PM and 4:41 AM? Final Answer: 315 Q.: What is 587 minutes before 9:48 PM? Final Answer: 12:01 PM Q.: How many minutes are there between 6:14 AM and 1:26 PM? Final Answer: 432 Q.: What is 236 minutes before 5:54 PM? Final Answer: 1:58 PM Q.: What is 126 minutes after 2:25 PM? Final Answer: 4:31 PM Q.: How many minutes are there between 3:16 PM and 4:18 PM? Final Answer: 62 Q.: What is 558 minutes after 2:31 PM? Final Answer: 11:49 PM Q.: How many minutes are there between 11:11 AM and 7:03 PM? Final Answer: 472 Q.: How many minutes are there between 8:26 PM and 12:03 AM? Final Answer: 217 Q.: What is 240 minutes before 8:33 PM? Final Answer: 4:33 PM Q.: What is 170 minutes after 1:21 PM? Final Answer: 4:11 PM Q.: What is 532 minutes after 2:06 PM? Final Answer: 10:58 PM Q.: What is 474 minutes after 4:44 PM? Final Answer: 12:38 AM Q.: How many minutes are there between 12:08 PM and 7:34 PM? Final Answer: 446 Q.: How many minutes are there between 6:58 AM and 7:17 AM? Final Answer: 19 Q.: How many minutes are there between 4:47 PM and 9:47 PM? Final Answer: 300 Q.: How many minutes are there between 2:26 PM and 8:11 PM? Final
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probability: swr p sequence --------------------------- Exercise: Calculate prob of sequence bbsm when four letters picked without replacement from {e: 3, m: 1, s: 1, b: 5}. Reply: 1/252 Exercise: What is prob of sequence hae when three letters picked without replacement from {h: 1, b: 1, e: 1, w: 1, a: 1}? Reply: 1/60 Exercise: What is prob of sequence nn when two letters picked without replacement from jkkjknkqxknkjkonnnj? Reply: 10/171 Exercise: Two letters picked without replacement from {w: 1, p: 1, g: 1}. What is prob of sequence gp? Reply: 1/6 Exercise: Three letters picked without replacement from {v: 1, m: 1, g: 1, k: 6, n: 6, s: 3}. Give prob of sequence gsk. Reply: 1/272 Exercise: Three letters picked without replacement from {d: 6, g: 2, c: 3, m: 1}. Give prob of sequence dcd. Reply: 3/44 Exercise: Three letters picked without replacement from {c: 2, n: 3, m: 8, g: 4}. What is prob of sequence gcn? Reply: 1/170 Exercise: Calculate prob of sequence rrr when three letters picked without replacement from {r: 1, q: 11}. Reply: 0 Exercise: Four letters picked without replacement from {o: 1, f: 2, g: 1, l: 8, j: 4}. What is prob of sequence jojf? Reply: 1/1820 Exercise: What is prob of sequence tz when two letters picked without replacement from {z: 2, s: 4, t: 5, j: 1, a: 2, g: 1}? Reply: 1/21 Exercise: Two letters picked without replacement from {e: 11, c: 9}. Give prob of sequence ee. Reply: 11/38 Exercise: What is prob of sequence ffu when three letters picked without replacement from {i: 4, f: 5, u: 3}? Reply: 1/22 Exercise: Calculate prob of sequence vv when two letters picked without replacement from dvddddvdd. Reply: 1/36 Exercise: Calculate prob of sequence nttn when four letters picked without replacement from {n: 5, t: 3, q: 2}. Reply: 1/42 Exercise: Three letters picked without replacement from {y: 5, f: 7, p: 4}. Give prob of sequence fpp. Reply: 1/40 Exercise: What is prob of sequence apea when four letters picked without replacement from maaaapa
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numbers: is prime ----------------- Input: Is 9419730767 a prime number? Math A: False Input: Is 5475642157 prime? Math A: True Input: Is 2759 prime? Math A: False Input: Is 24831321071 composite? Math A: False Input: Is 41831 a composite number? Math A: True Input: Is 310757 a composite number? Math A: True Input: Is 1826239 prime? Math A: True Input: Is 6323437 prime? Math A: False Input: Is 195587 composite? Math A: True Input: Is 886727 composite? Math A: True Input: Is 21701 a composite number? Math A: False Input: Is 14660260033 prime? Math A: True Input: Is 12052198 prime? Math A: False Input: Is 61121293 composite? Math A: False Input: Is 135217595 composite? Math A: True Input: Is 25149197 a composite number? Math A: True Input: Is 1118893 a composite number? Math A: False Input: Is 86786443 prime? Math A: True Input: Is 256907891 prime? Math A: False Input: Is 3105163 composite? Math A: False Input: Is 5382247961 a prime number? Math A: False Input: Is 15253 composite? Math A: True Input: Is 2178211181 prime? Math A: True Input: Is 13199289 prime? Math A: False Input: Is 176299 prime? Math A: True Input: Is 69823142243 a prime number? Math A: True Input: Is 23501 a prime number? Math A: False Input: Is 48407 prime? Math A: True Input: Is 528907 a prime number? Math A: False Input: Is 1089966455 composite? Math A: True Input: Is 3388871 composite? Math A: True Input: Is 76503703 composite? Math A: False Input: Is 2234303 a composite number? Math A: False Input: Is 92551 prime? Math A: True Input: Is 4172713 a prime number? Math A: False Input: Is 146355451 a prime number? Math A: False Input: Is 8149186523 a prime number? Math A: False Input: Is 915989 a composite number? Math A: True Input: Is 7077231991 prime? Math A: False Input: Is 38973317259 a composite number? Math A: True Input: Is 91909 prime? Math A: True Input: Is 13817 a composite number? Math A: True Input: Is 881315233 prime? Math A: True Input: Is 6836227 a composite number? Math A: True Inpu
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probability: swr p sequence --------------------------- Q.: What is prob of sequence oykq when four letters picked without replacement from xyyxyoqxxxyxyqxykyq? Thus: 7/31008 Q.: Calculate prob of sequence ec when two letters picked without replacement from yssssjesyjjeccjjjsye. Thus: 3/190 Q.: Calculate prob of sequence ooo when three letters picked without replacement from mommoomommmoommmmom. Thus: 35/969 Q.: Three letters picked without replacement from wwwfffffv. Give prob of sequence fvf. Thus: 5/126 Q.: Calculate prob of sequence qg when two letters picked without replacement from qqgggtggtt. Thus: 1/9 Q.: Calculate prob of sequence ie when two letters picked without replacement from ijjhjeh. Thus: 1/42 Q.: Calculate prob of sequence el when two letters picked without replacement from vevleellpptlepeee. Thus: 7/68 Q.: Four letters picked without replacement from dbbdjdybjyb. What is prob of sequence ydyj? Thus: 1/660 Q.: Calculate prob of sequence xg when two letters picked without replacement from xgggxgxgo. Thus: 5/24 Q.: Calculate prob of sequence mm when two letters picked without replacement from eeeeeeeemeeemeemmmee. Thus: 1/19 Q.: Two letters picked without replacement from jlljjbljljjjjljljltv. What is prob of sequence lj? Thus: 7/38 Q.: What is prob of sequence sf when two letters picked without replacement from {f: 8, s: 5}? Thus: 10/39 Q.: Calculate prob of sequence wkf when three letters picked without replacement from fkkrwih. Thus: 1/105 Q.: Two letters picked without replacement from {g: 2, e: 3, m: 4, q: 1, f: 2}. What is prob of sequence ef? Thus: 1/22 Q.: What is prob of sequence hx when two letters picked without replacement from xxzszxszhxhx? Thus: 5/66 Q.: What is prob of sequence ee when two letters picked without replacement from hhyhhee? Thus: 1/21 Q.: Calculate prob of sequence hs when two letters picked without replacement from shs. Thus: 1/3 Q.: What is prob of sequence nt when two letters picked without replacement from {t: 1, f: 4
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numbers: lcm ------------ Problem: Calculate the common denominator of -139/1529364 and 99/20. Derivation: 7646820 Problem: Find the common denominator of 9/346852 and -99/18887668. Derivation: 207764348 Problem: What is the common denominator of 80/21 and -8/105? Derivation: 105 Problem: Calculate the common denominator of -67/70 and -39/12770. Derivation: 89390 Problem: What is the common denominator of -157/2736 and 31/30? Derivation: 13680 Problem: Calculate the lowest common multiple of 65772 and 26586. Derivation: 13877892 Problem: Calculate the least common multiple of 117192 and 29298. Derivation: 117192 Problem: Find the common denominator of -41/68538 and -40. Derivation: 68538 Problem: Calculate the smallest common multiple of 920 and 4724200. Derivation: 4724200 Problem: Find the common denominator of 47/1988304 and 7/4970760. Derivation: 9941520 Problem: What is the lowest common multiple of 477664 and 64768? Derivation: 3821312 Problem: Calculate the smallest common multiple of 1025 and 25. Derivation: 1025 Problem: What is the lowest common multiple of 548 and 760516? Derivation: 104190692 Problem: What is the common denominator of -79/4 and -119/520? Derivation: 520 Problem: Find the common denominator of 41/25071 and 101/19520. Derivation: 8022720 Problem: Find the common denominator of 91/1180 and 109/226324. Derivation: 1131620 Problem: What is the least common multiple of 26 and 11? Derivation: 286 Problem: Calculate the common denominator of 44 and 67/1128. Derivation: 1128 Problem: Calculate the least common multiple of 848 and 2028688. Derivation: 107520464 Problem: What is the common denominator of -59/7632 and -71/27984? Derivation: 83952 Problem: What is the smallest common multiple of 187680 and 15? Derivation: 187680 Problem: Calculate the common denominator of 81/28600 and 17/4642. Derivation: 6034600 Problem: Calculate the lowest common multiple of 1378 and 159. Derivation: 4134 Problem: What is the common denominator of -121/13788 and
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arithmetic: nearest integer root -------------------------------- Item: What is the third root of 1221386 to the nearest integer? Result: 107 Item: What is the square root of 1490149 to the nearest integer? Result: 1221 Item: What is the third root of 10632154 to the nearest integer? Result: 220 Item: What is the third root of 203955 to the nearest integer? Result: 59 Item: What is 1852030721 to the power of 1/2, to the nearest integer? Result: 43035 Item: What is 338 to the power of 1/6, to the nearest integer? Result: 3 Item: What is the square root of 146013706 to the nearest integer? Result: 12084 Item: What is the cube root of 24629 to the nearest integer? Result: 29 Item: What is 8713534 to the power of 1/3, to the nearest integer? Result: 206 Item: What is 6886124 to the power of 1/2, to the nearest integer? Result: 2624 Item: What is the tenth root of 32768017 to the nearest integer? Result: 6 Item: What is the sixth root of 357143 to the nearest integer? Result: 8 Item: What is 37106 to the power of 1/2, to the nearest integer? Result: 193 Item: What is the cube root of 1419 to the nearest integer? Result: 11 Item: What is 784594 to the power of 1/10, to the nearest integer? Result: 4 Item: What is 3137766906 to the power of 1/9, to the nearest integer? Result: 11 Item: What is the third root of 191831 to the nearest integer? Result: 58 Item: What is the cube root of 731710387 to the nearest integer? Result: 901 Item: What is the cube root of 2975064 to the nearest integer? Result: 144 Item: What is 1305 to the power of 1/9, to the nearest integer? Result: 2 Item: What is the third root of 17947403 to the nearest integer? Result: 262 Item: What is 101434712 to the power of 1/3, to the nearest integer? Result: 466 Item: What is the seventh root of 247571605 to the nearest integer? Result: 16 Item: What is 82081075 to the power of 1/3, to the nearest integer? Result: 435 Item: What is 8629371 to the power of 1/2, to the nearest integer? Result: 2938 Item: Wha
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numbers: place value -------------------- Ask: What is the tens digit of 577? Gives: 7 Ask: What is the ten thousands digit of 4132593? Gives: 3 Ask: What is the units digit of 58189? Gives: 9 Ask: What is the tens digit of 5679412? Gives: 1 Ask: What is the tens digit of 151203655? Gives: 5 Ask: What is the units digit of 16529075? Gives: 5 Ask: What is the ten thousands digit of 3973123351? Gives: 2 Ask: What is the ten millions digit of 94765390? Gives: 9 Ask: What is the thousands digit of 33145? Gives: 3 Ask: What is the hundreds digit of 2272656? Gives: 6 Ask: What is the hundred thousands digit of 244917191? Gives: 9 Ask: What is the hundred thousands digit of 384350? Gives: 3 Ask: What is the thousands digit of 190967? Gives: 0 Ask: What is the units digit of 288? Gives: 8 Ask: What is the tens digit of 51651? Gives: 5 Ask: What is the hundred millions digit of 370703586? Gives: 3 Ask: What is the millions digit of 4628818? Gives: 4 Ask: What is the units digit of 39040? Gives: 0 Ask: What is the hundreds digit of 362963? Gives: 9 Ask: What is the tens digit of 3086? Gives: 8 Ask: What is the hundred thousands digit of 505651? Gives: 5 Ask: What is the tens digit of 282651761? Gives: 6 Ask: What is the thousands digit of 88560? Gives: 8 Ask: What is the thousands digit of 14828? Gives: 4 Ask: What is the thousands digit of 44135? Gives: 4 Ask: What is the hundreds digit of 22567? Gives: 5 Ask: What is the thousands digit of 1535? Gives: 1 Ask: What is the tens digit of 328195? Gives: 9 Ask: What is the hundreds digit of 288369? Gives: 3 Ask: What is the hundred millions digit of 1019529103? Gives: 0 Ask: What is the hundreds digit of 2619? Gives: 6 Ask: What is the ten millions digit of 20012851? Gives: 2 Ask: What is the thousands digit of 402203? Gives: 2 Ask: What is the thousands digit of 115471745? Gives: 1 Ask: What is the hundreds digit of 373? Gives: 3 Ask: What is the tens digit of 3978080? Gives: 8 Ask: What is the millions digit of 17705529? Gives
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numbers: is prime ----------------- Problem: Is 717356257 a composite number? Calculation: False Problem: Is 12337670167 composite? Calculation: True Problem: Is 226079 a composite number? Calculation: True Problem: Is 1899253 prime? Calculation: True Problem: Is 34009621 composite? Calculation: False Problem: Is 79278252709 a prime number? Calculation: True Problem: Is 4547 prime? Calculation: True Problem: Is 1035501713 composite? Calculation: False Problem: Is 1119878 prime? Calculation: False Problem: Is 59565073 composite? Calculation: False Problem: Is 13291 prime? Calculation: True Problem: Is 3465742317 composite? Calculation: True Problem: Is 176639 prime? Calculation: False Problem: Is 506047 composite? Calculation: False Problem: Is 102587 prime? Calculation: True Problem: Is 5432311 composite? Calculation: False Problem: Is 468001 composite? Calculation: False Problem: Is 33483683 a composite number? Calculation: False Problem: Is 66191 a composite number? Calculation: False Problem: Is 32491 prime? Calculation: True Problem: Is 1889779 composite? Calculation: True Problem: Is 420977 a composite number? Calculation: False Problem: Is 360831 a composite number? Calculation: True Problem: Is 64928654677 a composite number? Calculation: True Problem: Is 144848651 prime? Calculation: True Problem: Is 27570450949 composite? Calculation: False Problem: Is 1665914089 prime? Calculation: False Problem: Is 401083 prime? Calculation: False Problem: Is 81364504139 a composite number? Calculation: False Problem: Is 12415437809 composite? Calculation: False Problem: Is 77349163 composite? Calculation: False Problem: Is 764324949 a prime number? Calculation: False Problem: Is 71526131 a prime number? Calculation: False Problem: Is 102043677039 a prime number? Calculation: False Problem: Is 1737779689 a composite number? Calculation: False Problem: Is 1253999 a prime number? Calculation: True Problem: Is 3288191007 composite? Calculation: True Problem: Is 17076205 prim
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numbers: div remainder ---------------------- Conundrum: What is the remainder when 2668508 is divided by 130? Result: 128 Conundrum: Calculate the remainder when 64780013 is divided by 112. Result: 109 Conundrum: What is the remainder when 36021504 is divided by 267? Result: 0 Conundrum: What is the remainder when 2284322 is divided by 1093? Result: 1045 Conundrum: Calculate the remainder when 1350727 is divided by 436. Result: 435 Conundrum: What is the remainder when 242674 is divided by 327? Result: 40 Conundrum: What is the remainder when 1333 is divided by 269? Result: 257 Conundrum: Calculate the remainder when 17531 is divided by 123. Result: 65 Conundrum: Calculate the remainder when 872 is divided by 669. Result: 203 Conundrum: Calculate the remainder when 1879 is divided by 394. Result: 303 Conundrum: Calculate the remainder when 523 is divided by 67. Result: 54 Conundrum: What is the remainder when 140530 is divided by 2? Result: 0 Conundrum: What is the remainder when 296 is divided by 75? Result: 71 Conundrum: What is the remainder when 58 is divided by 16? Result: 10 Conundrum: Calculate the remainder when 38419 is divided by 9598. Result: 27 Conundrum: Calculate the remainder when 952 is divided by 313. Result: 13 Conundrum: Calculate the remainder when 7469 is divided by 12. Result: 5 Conundrum: Calculate the remainder when 34718 is divided by 32. Result: 30 Conundrum: Calculate the remainder when 12279 is divided by 1752. Result: 15 Conundrum: What is the remainder when 54575 is divided by 20? Result: 15 Conundrum: What is the remainder when 5105 is divided by 732? Result: 713 Conundrum: What is the remainder when 182469798 is divided by 1509? Result: 9 Conundrum: Calculate the remainder when 20892063 is divided by 144083. Result: 28 Conundrum: What is the remainder when 13879 is divided by 260? Result: 99 Conundrum: What is the remainder when 578652 is divided by 34? Result: 6 Conundrum: Calculate the remainder when 504 is divided by 113. Result:
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numbers: place value -------------------- Puzzle: What is the units digit of 858? Sol: 8 Puzzle: What is the tens digit of 492211? Sol: 1 Puzzle: What is the tens digit of 13241704? Sol: 0 Puzzle: What is the thousands digit of 41742644? Sol: 2 Puzzle: What is the hundred thousands digit of 6409439? Sol: 4 Puzzle: What is the tens digit of 203? Sol: 0 Puzzle: What is the thousands digit of 26942? Sol: 6 Puzzle: What is the thousands digit of 3105? Sol: 3 Puzzle: What is the thousands digit of 137757111? Sol: 7 Puzzle: What is the units digit of 289985? Sol: 5 Puzzle: What is the units digit of 787? Sol: 7 Puzzle: What is the hundreds digit of 482? Sol: 4 Puzzle: What is the tens digit of 42644? Sol: 4 Puzzle: What is the tens digit of 2105? Sol: 0 Puzzle: What is the units digit of 138501? Sol: 1 Puzzle: What is the units digit of 45952? Sol: 2 Puzzle: What is the thousands digit of 15143? Sol: 5 Puzzle: What is the units digit of 258? Sol: 8 Puzzle: What is the thousands digit of 7952740? Sol: 2 Puzzle: What is the hundreds digit of 130900439? Sol: 4 Puzzle: What is the hundreds digit of 960288456? Sol: 4 Puzzle: What is the hundreds digit of 1894183? Sol: 1 Puzzle: What is the hundred thousands digit of 5153027997? Sol: 0 Puzzle: What is the hundred thousands digit of 8283097? Sol: 2 Puzzle: What is the units digit of 14268? Sol: 8 Puzzle: What is the ten thousands digit of 17211? Sol: 1 Puzzle: What is the ten thousands digit of 25034? Sol: 2 Puzzle: What is the units digit of 3093? Sol: 3 Puzzle: What is the tens digit of 170? Sol: 7 Puzzle: What is the tens digit of 22079? Sol: 7 Puzzle: What is the units digit of 65985? Sol: 5 Puzzle: What is the tens digit of 3170? Sol: 7 Puzzle: What is the ten millions digit of 45038218? Sol: 4 Puzzle: What is the units digit of 798? Sol: 8 Puzzle: What is the ten thousands digit of 94216? Sol: 9 Puzzle: What is the hundred thousands digit of 586407? Sol: 5 Puzzle: What is the hundred thousands digit of 2345366? Sol: 3 Puzz
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numbers: is prime ----------------- Example: Is 10993393 a composite number? Final Answer: False Example: Is 2532763 composite? Final Answer: False Example: Is 225523 composite? Final Answer: False Example: Is 352879 a composite number? Final Answer: True Example: Is 92811757 a prime number? Final Answer: True Example: Is 1060148423 a composite number? Final Answer: False Example: Is 11687017597 prime? Final Answer: True Example: Is 102141536129 a prime number? Final Answer: True Example: Is 59809 a composite number? Final Answer: False Example: Is 19937 a composite number? Final Answer: False Example: Is 1759 a composite number? Final Answer: False Example: Is 1267823 composite? Final Answer: False Example: Is 16619 composite? Final Answer: False Example: Is 173281 prime? Final Answer: False Example: Is 89587 a prime number? Final Answer: False Example: Is 70823369 a composite number? Final Answer: False Example: Is 3140527907 composite? Final Answer: True Example: Is 55587589 a prime number? Final Answer: True Example: Is 279324715 a prime number? Final Answer: False Example: Is 287649311 prime? Final Answer: True Example: Is 7971 composite? Final Answer: True Example: Is 6942149 composite? Final Answer: False Example: Is 120515071 prime? Final Answer: True Example: Is 40203308941 a prime number? Final Answer: False Example: Is 2185459 a composite number? Final Answer: True Example: Is 108255299 a prime number? Final Answer: True Example: Is 340540511 a prime number? Final Answer: False Example: Is 8557253457 a prime number? Final Answer: False Example: Is 22184452571 composite? Final Answer: False Example: Is 65077 composite? Final Answer: True Example: Is 302251 composite? Final Answer: True Example: Is 25809913 a prime number? Final Answer: False Example: Is 4063089733 composite? Final Answer: False Example: Is 27411704183 a prime number? Final Answer: True Example: Is 179 prime? Final Answer: True Example: Is 26769 prime? Final Answer: False Example: Is 581169
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numbers: div remainder ---------------------- Example: Calculate the remainder when 1080 is divided by 155. Solution: 150 Example: Calculate the remainder when 1406 is divided by 100. Solution: 6 Example: What is the remainder when 39653689 is divided by 3687? Solution: 4 Example: Calculate the remainder when 10250 is divided by 90. Solution: 80 Example: What is the remainder when 52917 is divided by 36? Solution: 33 Example: Calculate the remainder when 235100 is divided by 117543. Solution: 14 Example: Calculate the remainder when 749 is divided by 63. Solution: 56 Example: Calculate the remainder when 92472 is divided by 30612. Solution: 636 Example: Calculate the remainder when 535006 is divided by 66873. Solution: 22 Example: Calculate the remainder when 7135 is divided by 5608. Solution: 1527 Example: What is the remainder when 12250 is divided by 4080? Solution: 10 Example: Calculate the remainder when 257 is divided by 95. Solution: 67 Example: Calculate the remainder when 271 is divided by 39. Solution: 37 Example: What is the remainder when 936 is divided by 935? Solution: 1 Example: Calculate the remainder when 210712 is divided by 87. Solution: 85 Example: Calculate the remainder when 799 is divided by 203. Solution: 190 Example: Calculate the remainder when 26155 is divided by 82. Solution: 79 Example: What is the remainder when 7299 is divided by 162? Solution: 9 Example: Calculate the remainder when 198354 is divided by 6113. Solution: 2738 Example: What is the remainder when 490019 is divided by 6533? Solution: 44 Example: What is the remainder when 210 is divided by 184? Solution: 26 Example: Calculate the remainder when 13600 is divided by 484. Solution: 48 Example: What is the remainder when 1214 is divided by 232? Solution: 54 Example: Calculate the remainder when 6439 is divided by 1458. Solution: 607 Example: What is the remainder when 19326 is divided by 16? Solution: 14 Example: What is the remainder when 1032 is divided by 45? Solution: 42 E
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numbers: div remainder ---------------------- Topic: What is the remainder when 17827118 is divided by 169? Fix: 153 Topic: What is the remainder when 1279 is divided by 65? Fix: 44 Topic: What is the remainder when 149182 is divided by 148? Fix: 146 Topic: What is the remainder when 336518 is divided by 167472? Fix: 1574 Topic: Calculate the remainder when 1633820 is divided by 986. Fix: 18 Topic: Calculate the remainder when 588 is divided by 191. Fix: 15 Topic: What is the remainder when 1442912 is divided by 242? Fix: 108 Topic: What is the remainder when 63770 is divided by 624? Fix: 122 Topic: Calculate the remainder when 849514 is divided by 224. Fix: 106 Topic: What is the remainder when 14611 is divided by 2431? Fix: 25 Topic: Calculate the remainder when 18 is divided by 17. Fix: 1 Topic: Calculate the remainder when 617 is divided by 23. Fix: 19 Topic: What is the remainder when 92762 is divided by 15207? Fix: 1520 Topic: Calculate the remainder when 86452 is divided by 4543. Fix: 135 Topic: What is the remainder when 2756825 is divided by 66? Fix: 5 Topic: Calculate the remainder when 1402118 is divided by 2099. Fix: 2085 Topic: Calculate the remainder when 9708 is divided by 19. Fix: 18 Topic: Calculate the remainder when 606 is divided by 29. Fix: 26 Topic: What is the remainder when 1256 is divided by 35? Fix: 31 Topic: Calculate the remainder when 301 is divided by 3. Fix: 1 Topic: What is the remainder when 318 is divided by 75? Fix: 18 Topic: What is the remainder when 652 is divided by 168? Fix: 148 Topic: Calculate the remainder when 19479 is divided by 382. Fix: 379 Topic: What is the remainder when 493 is divided by 174? Fix: 145 Topic: Calculate the remainder when 1258 is divided by 67. Fix: 52 Topic: What is the remainder when 11328 is divided by 697? Fix: 176 Topic: Calculate the remainder when 1596354 is divided by 511. Fix: 501 Topic: Calculate the remainder when 48920576 is divided by 2233. Fix: 12 Topic: What is the remainder when 158418
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numbers: is prime ----------------- Prompt: Is 4278722587 a prime number? Thus: False Prompt: Is 173039 prime? Thus: True Prompt: Is 47755 composite? Thus: True Prompt: Is 85236209837 composite? Thus: False Prompt: Is 276851191 prime? Thus: False Prompt: Is 639356039 a prime number? Thus: False Prompt: Is 9587 a composite number? Thus: False Prompt: Is 1076369227 composite? Thus: False Prompt: Is 43879 a composite number? Thus: True Prompt: Is 1115 composite? Thus: True Prompt: Is 3159016519 composite? Thus: False Prompt: Is 9947341 a composite number? Thus: True Prompt: Is 49354637 a composite number? Thus: False Prompt: Is 106345369 a prime number? Thus: False Prompt: Is 965087 a prime number? Thus: True Prompt: Is 1559755 prime? Thus: False Prompt: Is 24501077521 composite? Thus: True Prompt: Is 123545 a prime number? Thus: False Prompt: Is 695688863 a composite number? Thus: True Prompt: Is 5843477 a composite number? Thus: False Prompt: Is 39635 a prime number? Thus: False Prompt: Is 10614269 a prime number? Thus: False Prompt: Is 16753 prime? Thus: False Prompt: Is 4397 a prime number? Thus: True Prompt: Is 10195786 a composite number? Thus: True Prompt: Is 2221567 composite? Thus: False Prompt: Is 71539273 a prime number? Thus: False Prompt: Is 60427679 prime? Thus: False Prompt: Is 15566413 a prime number? Thus: True Prompt: Is 487303 prime? Thus: True Prompt: Is 4631658319 prime? Thus: False Prompt: Is 14633 prime? Thus: True Prompt: Is 112834 a composite number? Thus: True Prompt: Is 2552287 composite? Thus: True Prompt: Is 1055 a composite number? Thus: True Prompt: Is 322197541 prime? Thus: True Prompt: Is 968995 a prime number? Thus: False Prompt: Is 6408266449 composite? Thus: True Prompt: Is 24248039 composite? Thus: False Prompt: Is 23789371 a composite number? Thus: False Prompt: Is 750385 a prime number? Thus: False Prompt: Is 165643 composite? Thus: True Prompt: Is 7288217 prime? Thus: False Prompt: Is 10159883977 a prime number? Thus: False Promp
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numbers: is prime ----------------- Problem #: Is 239182 a composite number? Solution: True Problem #: Is 18164777 a prime number? Solution: True Problem #: Is 24189551 a composite number? Solution: False Problem #: Is 58831 a prime number? Solution: True Problem #: Is 89166787 composite? Solution: False Problem #: Is 172181 a composite number? Solution: False Problem #: Is 116584043 prime? Solution: True Problem #: Is 3620723987 a prime number? Solution: True Problem #: Is 57455 a composite number? Solution: True Problem #: Is 107921 prime? Solution: False Problem #: Is 40979604959 composite? Solution: False Problem #: Is 49331 a prime number? Solution: True Problem #: Is 107999 composite? Solution: False Problem #: Is 541821232567 a composite number? Solution: False Problem #: Is 53665 a composite number? Solution: True Problem #: Is 162766753 a prime number? Solution: True Problem #: Is 1956467761 a prime number? Solution: True Problem #: Is 179662243 composite? Solution: True Problem #: Is 13358 composite? Solution: True Problem #: Is 20707 a composite number? Solution: False Problem #: Is 12658483 composite? Solution: False Problem #: Is 19469311 prime? Solution: True Problem #: Is 552469 composite? Solution: False Problem #: Is 483187 a prime number? Solution: False Problem #: Is 9259819 composite? Solution: False Problem #: Is 10402591382 a composite number? Solution: True Problem #: Is 313189 a prime number? Solution: False Problem #: Is 5793 prime? Solution: False Problem #: Is 303817 prime? Solution: True Problem #: Is 56072961277 composite? Solution: False Problem #: Is 12346011469 a prime number? Solution: False Problem #: Is 1376257 composite? Solution: False Problem #: Is 35996377 composite? Solution: False Problem #: Is 250977067 a prime number? Solution: False Problem #: Is 1181277919 composite? Solution: False Problem #: Is 1032973087 prime? Solution: True Problem #: Is 1439 a prime number? Solution: True Problem #: Is 4105 a composite number? Solut
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arithmetic: nearest integer root -------------------------------- Exercise: What is 11961234 to the power of 1/9, to the nearest integer? Ans: 6 Exercise: What is the ninth root of 3232142 to the nearest integer? Ans: 5 Exercise: What is 1614316 to the power of 1/4, to the nearest integer? Ans: 36 Exercise: What is the fifth root of 2305224853 to the nearest integer? Ans: 75 Exercise: What is 28780 to the power of 1/2, to the nearest integer? Ans: 170 Exercise: What is 682852 to the power of 1/5, to the nearest integer? Ans: 15 Exercise: What is 7243945 to the power of 1/2, to the nearest integer? Ans: 2691 Exercise: What is the third root of 4830996975 to the nearest integer? Ans: 1690 Exercise: What is the square root of 2508215275 to the nearest integer? Ans: 50082 Exercise: What is the fifth root of 2159 to the nearest integer? Ans: 5 Exercise: What is 2294850067 to the power of 1/6, to the nearest integer? Ans: 36 Exercise: What is the sixth root of 6493 to the nearest integer? Ans: 4 Exercise: What is 3081344 to the power of 1/3, to the nearest integer? Ans: 146 Exercise: What is the square root of 10692 to the nearest integer? Ans: 103 Exercise: What is the square root of 2625082 to the nearest integer? Ans: 1620 Exercise: What is 6205413 to the power of 1/2, to the nearest integer? Ans: 2491 Exercise: What is the eighth root of 26065056 to the nearest integer? Ans: 8 Exercise: What is the fifth root of 861175 to the nearest integer? Ans: 15 Exercise: What is the square root of 194882676 to the nearest integer? Ans: 13960 Exercise: What is 2999622790 to the power of 1/2, to the nearest integer? Ans: 54769 Exercise: What is 1668047495 to the power of 1/6, to the nearest integer? Ans: 34 Exercise: What is 16319 to the power of 1/3, to the nearest integer? Ans: 25 Exercise: What is 3331 to the power of 1/2, to the nearest integer? Ans: 58 Exercise: What is the square root of 30852 to the nearest integer? Ans: 176 Exercise: What is the seventh root of 700 to the
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numbers: gcd ------------ Case: Calculate the greatest common divisor of 374 and 640730. Steps: 34 Case: What is the highest common factor of 131644955 and 65? Steps: 65 Case: What is the highest common factor of 9758103 and 2037? Steps: 291 Case: What is the greatest common factor of 1020 and 442? Steps: 34 Case: Calculate the highest common divisor of 406 and 14. Steps: 14 Case: What is the highest common divisor of 1260 and 3690? Steps: 90 Case: Calculate the greatest common divisor of 116 and 49794334. Steps: 58 Case: What is the greatest common factor of 35777 and 4598017? Steps: 269 Case: What is the greatest common factor of 972 and 1260? Steps: 36 Case: Calculate the highest common divisor of 444 and 206508. Steps: 12 Case: Calculate the greatest common factor of 330 and 681810. Steps: 30 Case: What is the greatest common factor of 60 and 3684? Steps: 12 Case: Calculate the highest common divisor of 5088 and 4992. Steps: 96 Case: Calculate the highest common factor of 1531134 and 534. Steps: 6 Case: Calculate the highest common divisor of 48 and 75562104. Steps: 24 Case: Calculate the greatest common factor of 55958 and 294. Steps: 98 Case: What is the highest common factor of 10701748 and 1256? Steps: 628 Case: Calculate the greatest common divisor of 1833 and 20318100. Steps: 141 Case: What is the highest common divisor of 57 and 19? Steps: 19 Case: Calculate the highest common divisor of 221 and 8892377. Steps: 221 Case: What is the greatest common divisor of 162 and 1890? Steps: 54 Case: Calculate the highest common factor of 4 and 286540. Steps: 4 Case: Calculate the highest common divisor of 6 and 159. Steps: 3 Case: Calculate the highest common factor of 228 and 156693. Steps: 57 Case: What is the greatest common divisor of 770 and 99022? Steps: 154 Case: Calculate the greatest common factor of 4806 and 1615083. Steps: 267 Case: Calculate the greatest common factor of 187 and 141713. Steps: 11 Case: What is the highest common divisor of 100 and 9050?
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numbers: is factor ------------------ Ask: Does 134 divide 173798? Conclusion: True Ask: Is 7 a factor of 9421? Conclusion: False Ask: Is 87236 a multiple of 10? Conclusion: False Ask: Does 151 divide 36844? Conclusion: True Ask: Is 957480792 a multiple of 12? Conclusion: True Ask: Is 1732090 a multiple of 11? Conclusion: False Ask: Is 65 a factor of 810? Conclusion: False Ask: Does 295 divide 745093? Conclusion: False Ask: Does 9 divide 647755353? Conclusion: True Ask: Is 21 a factor of 324198? Conclusion: True Ask: Is 64487854 a multiple of 94? Conclusion: True Ask: Is 66211 a multiple of 17? Conclusion: False Ask: Is 68739305 a multiple of 12? Conclusion: False Ask: Does 16 divide 13034? Conclusion: False Ask: Is 158 a factor of 62884? Conclusion: True Ask: Is 22 a factor of 9636? Conclusion: True Ask: Is 41 a factor of 451? Conclusion: True Ask: Is 40300 a multiple of 31? Conclusion: True Ask: Is 1379 a multiple of 7? Conclusion: True Ask: Is 50400656 a multiple of 1096? Conclusion: True Ask: Does 225 divide 498227323? Conclusion: False Ask: Does 225 divide 4076558? Conclusion: False Ask: Is 90 a multiple of 9? Conclusion: True Ask: Is 14 a factor of 229875? Conclusion: False Ask: Is 650 a multiple of 26? Conclusion: True Ask: Is 41276609 a multiple of 14? Conclusion: False Ask: Is 78628 a multiple of 85? Conclusion: False Ask: Does 58 divide 1276? Conclusion: True Ask: Does 250 divide 38415069? Conclusion: False Ask: Is 1388 a factor of 664753817? Conclusion: False Ask: Is 144 a factor of 835776? Conclusion: True Ask: Is 6345 a factor of 2325423465? Conclusion: True Ask: Is 4905 a factor of 94086685? Conclusion: False Ask: Is 14 a factor of 224? Conclusion: True Ask: Does 13 divide 6453556? Conclusion: False Ask: Is 388 a factor of 7101224? Conclusion: False Ask: Is 428 a factor of 359948? Conclusion: True Ask: Is 780285 a multiple of 5? Conclusion: True Ask: Is 131 a factor of 6419? Conclusion: True Ask: Is 162 a factor of 19764? Conclusion: True Ask: Does 3 d
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numbers: is prime ----------------- Let: Is 9599 composite? Workthrough: True Let: Is 4101 a prime number? Workthrough: False Let: Is 376183 prime? Workthrough: True Let: Is 652787 a composite number? Workthrough: False Let: Is 235128359 prime? Workthrough: False Let: Is 346664023 a prime number? Workthrough: True Let: Is 10579 a prime number? Workthrough: False Let: Is 25822259 prime? Workthrough: True Let: Is 11747057 composite? Workthrough: True Let: Is 7069 composite? Workthrough: False Let: Is 16249 a composite number? Workthrough: False Let: Is 29702483119 composite? Workthrough: False Let: Is 169149 a prime number? Workthrough: False Let: Is 28185980617 prime? Workthrough: False Let: Is 11583581 a prime number? Workthrough: True Let: Is 138611 a composite number? Workthrough: True Let: Is 263664668611 a composite number? Workthrough: False Let: Is 1363127 prime? Workthrough: False Let: Is 149726081 a prime number? Workthrough: True Let: Is 7544033 composite? Workthrough: True Let: Is 494983487 prime? Workthrough: False Let: Is 18866073957 a composite number? Workthrough: True Let: Is 66873481 a composite number? Workthrough: False Let: Is 251 a prime number? Workthrough: True Let: Is 1117873 a prime number? Workthrough: False Let: Is 127255951 prime? Workthrough: False Let: Is 26927207 a composite number? Workthrough: False Let: Is 11818727 a composite number? Workthrough: False Let: Is 388447 prime? Workthrough: False Let: Is 10898127943 composite? Workthrough: False Let: Is 220283 composite? Workthrough: True Let: Is 25091867 a prime number? Workthrough: True Let: Is 297699047 a prime number? Workthrough: True Let: Is 7610303 prime? Workthrough: True Let: Is 1736887821 a prime number? Workthrough: False Let: Is 3097614901 a prime number? Workthrough: True Let: Is 26449 a prime number? Workthrough: True Let: Is 900861043 prime? Workthrough: True Let: Is 25565431 prime? Workthrough: False Let: Is 17396609267 a composite number? Workthrough: False Let: Is 2610
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numbers: place value -------------------- Challenge: What is the tens digit of 10752? Sol: 5 Challenge: What is the units digit of 1613232? Sol: 2 Challenge: What is the tens digit of 825? Sol: 2 Challenge: What is the tens digit of 943713? Sol: 1 Challenge: What is the hundreds digit of 304912? Sol: 9 Challenge: What is the hundred thousands digit of 857876735? Sol: 8 Challenge: What is the units digit of 40593? Sol: 3 Challenge: What is the ten thousands digit of 122410023? Sol: 1 Challenge: What is the tens digit of 1606570? Sol: 7 Challenge: What is the tens digit of 1443? Sol: 4 Challenge: What is the hundreds digit of 2602? Sol: 6 Challenge: What is the millions digit of 3798027403? Sol: 8 Challenge: What is the tens digit of 1277480? Sol: 8 Challenge: What is the units digit of 1240? Sol: 0 Challenge: What is the thousands digit of 29925? Sol: 9 Challenge: What is the hundreds digit of 825398811? Sol: 8 Challenge: What is the hundreds digit of 3379264949? Sol: 9 Challenge: What is the hundred thousands digit of 8411892? Sol: 4 Challenge: What is the hundreds digit of 36183541? Sol: 5 Challenge: What is the thousands digit of 1242? Sol: 1 Challenge: What is the thousands digit of 276691? Sol: 6 Challenge: What is the units digit of 4710509? Sol: 9 Challenge: What is the hundred thousands digit of 270092? Sol: 2 Challenge: What is the hundreds digit of 2265513160? Sol: 1 Challenge: What is the tens digit of 1009622143? Sol: 4 Challenge: What is the ten thousands digit of 539730? Sol: 3 Challenge: What is the ten thousands digit of 28141724? Sol: 4 Challenge: What is the ten thousands digit of 9116941? Sol: 1 Challenge: What is the units digit of 12108? Sol: 8 Challenge: What is the hundreds digit of 5563? Sol: 5 Challenge: What is the hundreds digit of 96428857? Sol: 8 Challenge: What is the tens digit of 4002975? Sol: 7 Challenge: What is the hundreds digit of 1949346? Sol: 3 Challenge: What is the ten millions digit of 17193242? Sol: 1 Challenge: What is the
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measurement: time ----------------- Puzzle: What is 148 minutes after 10:05 PM? Gives: 12:33 AM Puzzle: How many minutes are there between 7:30 PM and 4:37 AM? Gives: 547 Puzzle: How many minutes are there between 7:00 AM and 6:29 PM? Gives: 689 Puzzle: What is 82 minutes after 10:50 AM? Gives: 12:12 PM Puzzle: How many minutes are there between 9:13 AM and 8:30 PM? Gives: 677 Puzzle: What is 96 minutes after 5:07 AM? Gives: 6:43 AM Puzzle: How many minutes are there between 1:02 PM and 12:21 AM? Gives: 679 Puzzle: How many minutes are there between 10:17 AM and 9:19 PM? Gives: 662 Puzzle: What is 416 minutes before 1:51 PM? Gives: 6:55 AM Puzzle: How many minutes are there between 1:43 PM and 7:37 PM? Gives: 354 Puzzle: How many minutes are there between 5:53 AM and 4:27 PM? Gives: 634 Puzzle: How many minutes are there between 4:16 AM and 4:51 AM? Gives: 35 Puzzle: How many minutes are there between 9:16 AM and 4:49 PM? Gives: 453 Puzzle: How many minutes are there between 5:25 PM and 3:07 AM? Gives: 582 Puzzle: How many minutes are there between 5:06 AM and 2:22 PM? Gives: 556 Puzzle: What is 360 minutes after 6:06 PM? Gives: 12:06 AM Puzzle: How many minutes are there between 1:27 PM and 11:19 PM? Gives: 592 Puzzle: What is 197 minutes after 2:23 PM? Gives: 5:40 PM Puzzle: What is 386 minutes after 6:31 PM? Gives: 12:57 AM Puzzle: What is 587 minutes after 7:04 PM? Gives: 4:51 AM Puzzle: What is 687 minutes after 5:41 PM? Gives: 5:08 AM Puzzle: What is 405 minutes before 12:21 AM? Gives: 5:36 PM Puzzle: How many minutes are there between 6:54 AM and 4:45 PM? Gives: 591 Puzzle: What is 634 minutes after 7:16 PM? Gives: 5:50 AM Puzzle: How many minutes are there between 11:16 PM and 12:08 AM? Gives: 52 Puzzle: How many minutes are there between 7:15 AM and 7:56 AM? Gives: 41 Puzzle: What is 385 minutes after 3:09 AM? Gives: 9:34 AM Puzzle: What is 398 minutes after 5:48 PM? Gives: 12:26 AM Puzzle: How many minutes are there between 10:56 PM and 1:48 AM? Gives: 172
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probability: swr p sequence --------------------------- Qn: Two letters picked without replacement from hhxuhxxhh. Give prob of sequence hh. Finding: 5/18 Qn: Two letters picked without replacement from {s: 4, e: 6}. What is prob of sequence ss? Finding: 2/15 Qn: Two letters picked without replacement from bbggkiiglibkgbig. What is prob of sequence ki? Finding: 1/30 Qn: Four letters picked without replacement from aaszd. Give prob of sequence dsaz. Finding: 1/60 Qn: What is prob of sequence mbm when three letters picked without replacement from bbbbmmbbmb? Finding: 7/120 Qn: Four letters picked without replacement from eerebububrex. Give prob of sequence ueer. Finding: 2/495 Qn: Four letters picked without replacement from {j: 4, b: 5, e: 10}. Give prob of sequence jjjb. Finding: 5/3876 Qn: Three letters picked without replacement from nnniunniiiuinnnunnu. What is prob of sequence unu? Finding: 20/969 Qn: Two letters picked without replacement from csmhshh. Give prob of sequence cm. Finding: 1/42 Qn: Two letters picked without replacement from fpeplleulllel. What is prob of sequence fe? Finding: 1/52 Qn: Calculate prob of sequence mh when two letters picked without replacement from hmkku. Finding: 1/20 Qn: Four letters picked without replacement from {v: 4, f: 1, p: 2, c: 3, x: 2}. Give prob of sequence vcxp. Finding: 2/495 Qn: Four letters picked without replacement from {e: 10}. Give prob of sequence eeee. Finding: 1 Qn: Two letters picked without replacement from rkwbaabq. What is prob of sequence aa? Finding: 1/28 Qn: Calculate prob of sequence mbb when three letters picked without replacement from {s: 1, u: 3, b: 6, r: 6, m: 2}. Finding: 5/408 Qn: Calculate prob of sequence bbb when three letters picked without replacement from {b: 7, u: 5, w: 1}. Finding: 35/286 Qn: Two letters picked without replacement from fnnnnfnnnnfnnn. Give prob of sequence fn. Finding: 33/182 Qn: Four letters picked without replacement from {t: 4, b: 11, y: 1, d: 3}. Give prob of sequen
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numbers: div remainder ---------------------- Topic: Calculate the remainder when 3795 is divided by 292. Sol: 291 Topic: Calculate the remainder when 25851917 is divided by 32807. Sol: 1 Topic: Calculate the remainder when 9064 is divided by 192. Sol: 40 Topic: Calculate the remainder when 224 is divided by 80. Sol: 64 Topic: What is the remainder when 12175 is divided by 811? Sol: 10 Topic: Calculate the remainder when 9794 is divided by 361. Sol: 47 Topic: Calculate the remainder when 60 is divided by 4. Sol: 0 Topic: What is the remainder when 37381 is divided by 2336? Sol: 5 Topic: What is the remainder when 2377 is divided by 262? Sol: 19 Topic: What is the remainder when 222831451 is divided by 755? Sol: 751 Topic: What is the remainder when 299 is divided by 128? Sol: 43 Topic: What is the remainder when 19715 is divided by 318? Sol: 317 Topic: Calculate the remainder when 254 is divided by 5. Sol: 4 Topic: What is the remainder when 223308 is divided by 2656? Sol: 204 Topic: What is the remainder when 249806 is divided by 25? Sol: 6 Topic: Calculate the remainder when 23766 is divided by 175. Sol: 141 Topic: Calculate the remainder when 28201 is divided by 285. Sol: 271 Topic: What is the remainder when 222073 is divided by 284? Sol: 269 Topic: What is the remainder when 26108 is divided by 801? Sol: 476 Topic: What is the remainder when 1003 is divided by 67? Sol: 65 Topic: What is the remainder when 77744 is divided by 71? Sol: 70 Topic: Calculate the remainder when 5598 is divided by 932. Sol: 6 Topic: What is the remainder when 753 is divided by 182? Sol: 25 Topic: Calculate the remainder when 1484 is divided by 5. Sol: 4 Topic: Calculate the remainder when 272302 is divided by 207. Sol: 97 Topic: Calculate the remainder when 3720613 is divided by 2967. Sol: 2962 Topic: Calculate the remainder when 859112 is divided by 214743. Sol: 140 Topic: What is the remainder when 32111 is divided by 7779? Sol: 995 Topic: Calculate the remainder when 9847725 is div
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measurement: conversion ----------------------- Q-: What is 32/5 of a century in years? Response: 640 Q-: How many millilitres are there in 3/50 of a litre? Response: 60 Q-: How many kilograms are there in 3/10 of a tonne? Response: 300 Q-: How many micrograms are there in 1/4 of a milligram? Response: 250 Q-: How many years are there in 1371.106 millennia? Response: 1371106 Q-: What is 983.5533ml in litres? Response: 0.9835533 Q-: How many milligrams are there in three tenths of a gram? Response: 300 Q-: How many millimeters are there in seventeen quarters of a meter? Response: 4250 Q-: What is 1.180195 decades in months? Response: 141.6234 Q-: What is 429248.8l in millilitres? Response: 429248800 Q-: What is 60844.5 decades in centuries? Response: 6084.45 Q-: What is 994.413l in millilitres? Response: 994413 Q-: What is 1216984.2us in minutes? Response: 0.02028307 Q-: How many millilitres are there in 56.94739 litres? Response: 56947.39 Q-: What is 242567.55 months in millennia? Response: 20.2139625 Q-: What is 17/2 of a tonne in kilograms? Response: 8500 Q-: How many minutes are there in 1/36 of a week? Response: 280 Q-: What is 21/5 of a litre in millilitres? Response: 4200 Q-: Convert 11.47404 micrometers to millimeters. Response: 0.01147404 Q-: What is thirteen eighths of a litre in millilitres? Response: 1625 Q-: How many months are there in 3/8 of a century? Response: 450 Q-: How many litres are there in 9.956321ml? Response: 0.009956321 Q-: Convert 8.30437 hours to milliseconds. Response: 29895732 Q-: What is one twentieth of a kilogram in grams? Response: 50 Q-: What is 59/5 of a decade in years? Response: 118 Q-: What is 75564.09 centuries in decades? Response: 755640.9 Q-: What is 32/5 of a hour in seconds? Response: 23040 Q-: Convert 25968.56 tonnes to milligrams. Response: 25968560000000 Q-: What is 773760.3 micrometers in centimeters? Response: 77.37603 Q-: How many decades are there in 14002.68 months? Response: 116.689 Q-: How many weeks are there i
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numbers: place value -------------------- Part A: What is the tens digit of 2366489488? Answer: 8 Part A: What is the ten thousands digit of 17392? Answer: 1 Part A: What is the billions digit of 6172713564? Answer: 6 Part A: What is the hundreds digit of 1612? Answer: 6 Part A: What is the tens digit of 47564? Answer: 6 Part A: What is the ten thousands digit of 43611075? Answer: 1 Part A: What is the hundred thousands digit of 13198235? Answer: 1 Part A: What is the thousands digit of 2129033? Answer: 9 Part A: What is the units digit of 309? Answer: 9 Part A: What is the tens digit of 1116308? Answer: 0 Part A: What is the ten millions digit of 14461091? Answer: 1 Part A: What is the millions digit of 39580286? Answer: 9 Part A: What is the hundreds digit of 9942? Answer: 9 Part A: What is the tens digit of 394? Answer: 9 Part A: What is the thousands digit of 1628685578? Answer: 5 Part A: What is the units digit of 4820? Answer: 0 Part A: What is the hundred thousands digit of 167348713? Answer: 3 Part A: What is the hundred thousands digit of 74045152? Answer: 0 Part A: What is the hundred thousands digit of 12918469? Answer: 9 Part A: What is the tens digit of 9287? Answer: 8 Part A: What is the units digit of 135? Answer: 5 Part A: What is the ten thousands digit of 23869? Answer: 2 Part A: What is the tens digit of 44291312? Answer: 1 Part A: What is the thousands digit of 12387? Answer: 2 Part A: What is the hundreds digit of 6700? Answer: 7 Part A: What is the units digit of 4343067? Answer: 7 Part A: What is the hundreds digit of 5637? Answer: 6 Part A: What is the ten thousands digit of 37910? Answer: 3 Part A: What is the hundreds digit of 10565? Answer: 5 Part A: What is the hundreds digit of 368618101? Answer: 1 Part A: What is the hundreds digit of 32995? Answer: 9 Part A: What is the millions digit of 84335149? Answer: 4 Part A: What is the hundred thousands digit of 2565350? Answer: 5 Part A: What is the units digit of 283670617? Answer: 7 Part A:
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probability: swr p level set ---------------------------- Math Problem: Four letters picked without replacement from yjcnsskkkkksn. What is prob of picking 1 c and 3 s? Conclusion: 1/715 Math Problem: What is prob of picking 1 f and 1 d when two letters picked without replacement from rffygyffd? Conclusion: 1/9 Math Problem: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from ooovovolvvowkoo. Conclusion: 4/105 Math Problem: Three letters picked without replacement from {x: 7, h: 5, u: 2}. Give prob of picking 2 h and 1 x. Conclusion: 5/26 Math Problem: Three letters picked without replacement from tttlttttttltt. What is prob of picking 1 l and 2 t? Conclusion: 5/13 Math Problem: Four letters picked without replacement from {w: 7, e: 4, j: 5, l: 3}. Give prob of picking 1 e, 1 j, and 2 l. Conclusion: 5/323 Math Problem: Calculate prob of picking 1 x and 3 p when four letters picked without replacement from pppppxppppppx. Conclusion: 6/13 Math Problem: Two letters picked without replacement from rrrprpuriiuorrpar. What is prob of picking 1 a and 1 p? Conclusion: 3/136 Math Problem: Three letters picked without replacement from {z: 1, k: 2, x: 10, w: 7}. What is prob of picking 1 k and 2 x? Conclusion: 3/38 Math Problem: Two letters picked without replacement from {c: 5, o: 1, r: 3, z: 1, s: 1, f: 1}. What is prob of picking 2 c? Conclusion: 5/33 Math Problem: What is prob of picking 1 n and 1 r when two letters picked without replacement from rnrlayk? Conclusion: 2/21 Math Problem: Three letters picked without replacement from {l: 10, z: 2}. What is prob of picking 3 l? Conclusion: 6/11 Math Problem: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {s: 3, j: 7, z: 3, f: 1}. Conclusion: 9/91 Math Problem: Calculate prob of picking 1 e, 1 u, and 1 f when three letters picked without replacement from ufezvvex. Conclusion: 1/28 Math Problem: Three letters picked without replacement from {t: 7, i: 8,
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numbers: div remainder ---------------------- Q.: Calculate the remainder when 34012 is divided by 620. Output: 532 Q.: Calculate the remainder when 41918 is divided by 121. Output: 52 Q.: Calculate the remainder when 684 is divided by 112. Output: 12 Q.: Calculate the remainder when 7524 is divided by 14. Output: 6 Q.: Calculate the remainder when 4260 is divided by 20. Output: 0 Q.: What is the remainder when 976054 is divided by 1245? Output: 1219 Q.: Calculate the remainder when 294045252 is divided by 21. Output: 18 Q.: Calculate the remainder when 28529 is divided by 11. Output: 6 Q.: Calculate the remainder when 42203 is divided by 191. Output: 183 Q.: What is the remainder when 724628 is divided by 231? Output: 212 Q.: What is the remainder when 454 is divided by 57? Output: 55 Q.: What is the remainder when 2443 is divided by 12? Output: 7 Q.: What is the remainder when 2374 is divided by 82? Output: 78 Q.: Calculate the remainder when 820 is divided by 188. Output: 68 Q.: Calculate the remainder when 910 is divided by 6. Output: 4 Q.: Calculate the remainder when 1026 is divided by 173. Output: 161 Q.: Calculate the remainder when 115 is divided by 17. Output: 13 Q.: What is the remainder when 1650955 is divided by 3520? Output: 75 Q.: What is the remainder when 7361 is divided by 753? Output: 584 Q.: What is the remainder when 83837 is divided by 1173? Output: 554 Q.: Calculate the remainder when 25489802 is divided by 551. Output: 542 Q.: Calculate the remainder when 120419480 is divided by 1267. Output: 1266 Q.: Calculate the remainder when 527571 is divided by 3566. Output: 3369 Q.: Calculate the remainder when 1459 is divided by 166. Output: 131 Q.: What is the remainder when 3071 is divided by 110? Output: 101 Q.: Calculate the remainder when 11129126 is divided by 655. Output: 21 Q.: What is the remainder when 563284 is divided by 39? Output: 7 Q.: Calculate the remainder when 665 is divided by 6. Output: 5 Q.: What is the remainder when 317 is divi
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numbers: is factor ------------------ Test item: Is 400 a factor of 2152640400? Output: True Test item: Is 165 a factor of 34155? Output: True Test item: Is 104007 a multiple of 17? Output: False Test item: Is 1612546 a multiple of 109? Output: True Test item: Is 43970634 a multiple of 54? Output: True Test item: Does 163 divide 6554556? Output: True Test item: Is 13430 a multiple of 79? Output: True Test item: Does 17 divide 3509? Output: False Test item: Is 2720 a multiple of 16? Output: True Test item: Does 405 divide 97605? Output: True Test item: Is 11024 a multiple of 16? Output: True Test item: Is 431 a factor of 121761536? Output: False Test item: Is 1560 a multiple of 20? Output: True Test item: Is 10 a factor of 405452? Output: False Test item: Does 28 divide 143892840? Output: True Test item: Is 3802 a multiple of 15? Output: False Test item: Is 60 a factor of 5951? Output: False Test item: Does 48 divide 99344891? Output: False Test item: Is 220745 a multiple of 833? Output: True Test item: Is 572 a multiple of 38? Output: False Test item: Does 16 divide 100976? Output: True Test item: Is 151339632 a multiple of 1682? Output: True Test item: Is 4199 a multiple of 17? Output: True Test item: Is 13 a factor of 227995079? Output: True Test item: Is 223 a factor of 45697606? Output: True Test item: Does 113 divide 3839514? Output: True Test item: Is 2521 a factor of 19542792? Output: True Test item: Is 8 a factor of 10823? Output: False Test item: Is 94 a factor of 1699? Output: False Test item: Does 24 divide 576? Output: True Test item: Does 26 divide 2818425868? Output: False Test item: Is 435056 a multiple of 21? Output: False Test item: Does 12 divide 61248228? Output: True Test item: Does 19 divide 2215667441? Output: False Test item: Is 19 a factor of 31231564? Output: False Test item: Is 197 a factor of 15426560? Output: False Test item: Does 2139 divide 1054527? Output: True Test item: Is 132 a factor of 31720? Output: False Test item: Is 102207 a m
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numbers: place value -------------------- Part A: What is the ten millions digit of 8337531246? A: 3 Part A: What is the tens digit of 185263? A: 6 Part A: What is the units digit of 11941? A: 1 Part A: What is the hundreds digit of 361? A: 3 Part A: What is the billions digit of 2995932646? A: 2 Part A: What is the tens digit of 218089756? A: 5 Part A: What is the billions digit of 1007889084? A: 1 Part A: What is the tens digit of 57468723? A: 2 Part A: What is the thousands digit of 3415973? A: 5 Part A: What is the hundred millions digit of 589504556? A: 5 Part A: What is the tens digit of 36702? A: 0 Part A: What is the units digit of 145830245? A: 5 Part A: What is the hundred millions digit of 1380042419? A: 3 Part A: What is the millions digit of 14302317? A: 4 Part A: What is the hundred millions digit of 1321015511? A: 3 Part A: What is the units digit of 11503? A: 3 Part A: What is the billions digit of 3947347232? A: 3 Part A: What is the ten thousands digit of 111573181? A: 7 Part A: What is the hundreds digit of 8148? A: 1 Part A: What is the tens digit of 646? A: 4 Part A: What is the hundreds digit of 140? A: 1 Part A: What is the hundred thousands digit of 29028737? A: 0 Part A: What is the ten thousands digit of 137330? A: 3 Part A: What is the units digit of 13367? A: 7 Part A: What is the ten millions digit of 82715035? A: 8 Part A: What is the units digit of 2651? A: 1 Part A: What is the ten thousands digit of 124308? A: 2 Part A: What is the ten millions digit of 71923842? A: 7 Part A: What is the thousands digit of 70022? A: 0 Part A: What is the tens digit of 1223295170? A: 7 Part A: What is the ten thousands digit of 380574211? A: 7 Part A: What is the units digit of 5890488? A: 8 Part A: What is the units digit of 625461171? A: 1 Part A: What is the tens digit of 34217024? A: 2 Part A: What is the ten millions digit of 97210424? A: 9 Part A: What is the tens digit of 1470346273? A: 7 Part A: What is the units digit of 65254? A: 4 Part A: W
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numbers: is factor ------------------ Math Problem: Is 22 a factor of 29358685? Calculation: False Math Problem: Is 99 a factor of 237289? Calculation: False Math Problem: Does 32 divide 1118390? Calculation: False Math Problem: Does 76 divide 272381? Calculation: False Math Problem: Does 10 divide 69905? Calculation: False Math Problem: Is 122 a factor of 28164584? Calculation: False Math Problem: Is 4386 a multiple of 42? Calculation: False Math Problem: Does 294 divide 230496? Calculation: True Math Problem: Is 505935976 a multiple of 169? Calculation: True Math Problem: Is 125552 a multiple of 266? Calculation: True Math Problem: Is 17493 a multiple of 107? Calculation: False Math Problem: Does 542 divide 1476802? Calculation: False Math Problem: Is 136 a factor of 214865? Calculation: False Math Problem: Is 25 a factor of 66818543? Calculation: False Math Problem: Is 54703 a multiple of 9? Calculation: False Math Problem: Does 52 divide 259428? Calculation: True Math Problem: Is 1178195 a multiple of 335? Calculation: True Math Problem: Does 39 divide 33760? Calculation: False Math Problem: Is 5262 a factor of 1732324068? Calculation: True Math Problem: Is 980442919 a multiple of 53? Calculation: True Math Problem: Is 986 a multiple of 34? Calculation: True Math Problem: Is 353 a factor of 962511333? Calculation: True Math Problem: Is 1779 a multiple of 11? Calculation: False Math Problem: Does 33 divide 49156767? Calculation: True Math Problem: Is 79083200 a multiple of 25? Calculation: True Math Problem: Is 139 a factor of 24464? Calculation: True Math Problem: Is 14 a factor of 868? Calculation: True Math Problem: Is 27 a factor of 89613? Calculation: True Math Problem: Is 5 a factor of 1450? Calculation: True Math Problem: Does 52 divide 617723548? Calculation: True Math Problem: Is 7824 a multiple of 8? Calculation: True Math Problem: Is 343 a factor of 120524128? Calculation: False Math Problem: Does 63 divide 819? Calculation: True Math Problem: Is 189 a
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numbers: is factor ------------------ Example: Is 12 a factor of 27255456? Resolution: True Example: Is 99 a factor of 322292491? Resolution: False Example: Does 23 divide 3334609? Resolution: True Example: Is 472 a factor of 94669040? Resolution: True Example: Is 20 a factor of 57762007? Resolution: False Example: Is 37 a factor of 629? Resolution: True Example: Is 8 a factor of 19342080? Resolution: True Example: Is 62 a factor of 438? Resolution: False Example: Does 96 divide 60525? Resolution: False Example: Does 57 divide 929214? Resolution: True Example: Does 28 divide 52663502? Resolution: False Example: Is 111 a factor of 174686881? Resolution: False Example: Is 13 a factor of 170? Resolution: False Example: Is 57513 a multiple of 8? Resolution: False Example: Is 254 a factor of 30740? Resolution: False Example: Does 232 divide 2890411208? Resolution: True Example: Is 26 a factor of 10608? Resolution: True Example: Is 190858123 a multiple of 686? Resolution: False Example: Is 481 a factor of 2684461? Resolution: True Example: Does 462 divide 963630102? Resolution: False Example: Is 520 a multiple of 8? Resolution: True Example: Is 522 a multiple of 3? Resolution: True Example: Is 13 a factor of 8983? Resolution: True Example: Is 75 a factor of 3338? Resolution: False Example: Is 78 a factor of 869144? Resolution: False Example: Does 252 divide 843696? Resolution: True Example: Is 516555 a multiple of 39? Resolution: True Example: Is 33 a factor of 263383809? Resolution: False Example: Is 14 a factor of 1380424? Resolution: False Example: Is 2321 a factor of 1640947? Resolution: True Example: Is 39 a factor of 17798? Resolution: False Example: Does 134 divide 5990872? Resolution: True Example: Does 277 divide 33794? Resolution: True Example: Is 639 a multiple of 3? Resolution: True Example: Is 21 a factor of 95824785? Resolution: True Example: Does 228 divide 7236124? Resolution: False Example: Is 49487 a multiple of 174? Resolution: False Example: Is 1106825
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probability: swr p sequence --------------------------- Q.: Two letters picked without replacement from {a: 5, i: 3}. Give prob of sequence aa. Result: 5/14 Q.: Calculate prob of sequence gja when three letters picked without replacement from hhgahggjgaggggj. Result: 16/1365 Q.: Calculate prob of sequence tvvx when four letters picked without replacement from {g: 1, t: 2, b: 1, v: 5, x: 1}. Result: 1/126 Q.: Calculate prob of sequence yf when two letters picked without replacement from dddxidydddddddf. Result: 1/210 Q.: Calculate prob of sequence rsw when three letters picked without replacement from sdssswrdsrs. Result: 2/165 Q.: Two letters picked without replacement from bkidl. What is prob of sequence db? Result: 1/20 Q.: Three letters picked without replacement from {p: 3, r: 3}. Give prob of sequence rpr. Result: 3/20 Q.: Four letters picked without replacement from {f: 2, u: 6, y: 11}. What is prob of sequence yyyy? Result: 55/646 Q.: What is prob of sequence dfnd when four letters picked without replacement from {t: 3, d: 6, n: 7, f: 1}? Result: 1/272 Q.: Calculate prob of sequence nss when three letters picked without replacement from mcmncmsscsmsfncchcc. Result: 4/969 Q.: Two letters picked without replacement from {q: 4, y: 2, z: 1, s: 3, k: 4}. Give prob of sequence sz. Result: 3/182 Q.: What is prob of sequence aabu when four letters picked without replacement from azpapuubuupzubbaapz? Result: 5/2584 Q.: Four letters picked without replacement from {n: 5}. Give prob of sequence nnnn. Result: 1 Q.: Calculate prob of sequence gu when two letters picked without replacement from vleelleiuvilililelg. Result: 1/342 Q.: Three letters picked without replacement from bccbbscbsbbb. What is prob of sequence scb? Result: 7/220 Q.: Two letters picked without replacement from ypspswwrswpsysppxpwy. Give prob of sequence yp. Result: 9/190 Q.: Calculate prob of sequence ata when three letters picked without replacement from {t: 4, p: 1, a: 2}. Result: 4/105 Q.: Four let
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measurement: time ----------------- Situation: How many minutes are there between 1:52 AM and 5:58 AM? Calculation: 246 Situation: What is 253 minutes after 2:28 AM? Calculation: 6:41 AM Situation: What is 344 minutes after 12:34 PM? Calculation: 6:18 PM Situation: What is 310 minutes before 2:34 AM? Calculation: 9:24 PM Situation: What is 135 minutes after 4:04 PM? Calculation: 6:19 PM Situation: What is 167 minutes before 11:57 AM? Calculation: 9:10 AM Situation: How many minutes are there between 1:36 AM and 1:04 PM? Calculation: 688 Situation: What is 466 minutes after 11:39 PM? Calculation: 7:25 AM Situation: What is 309 minutes before 8:37 PM? Calculation: 3:28 PM Situation: What is 202 minutes after 1:29 AM? Calculation: 4:51 AM Situation: How many minutes are there between 10:22 AM and 7:58 PM? Calculation: 576 Situation: How many minutes are there between 2:36 PM and 7:31 PM? Calculation: 295 Situation: How many minutes are there between 8:52 AM and 3:46 PM? Calculation: 414 Situation: How many minutes are there between 9:51 PM and 11:57 PM? Calculation: 126 Situation: What is 405 minutes before 8:20 PM? Calculation: 1:35 PM Situation: What is 144 minutes after 11:02 AM? Calculation: 1:26 PM Situation: What is 687 minutes before 2:36 PM? Calculation: 3:09 AM Situation: How many minutes are there between 2:34 AM and 8:06 AM? Calculation: 332 Situation: How many minutes are there between 1:22 PM and 3:32 PM? Calculation: 130 Situation: What is 708 minutes after 3:31 AM? Calculation: 3:19 PM Situation: How many minutes are there between 9:14 PM and 8:19 AM? Calculation: 665 Situation: What is 237 minutes after 2:05 PM? Calculation: 6:02 PM Situation: How many minutes are there between 10:44 PM and 1:50 AM? Calculation: 186 Situation: What is 82 minutes after 4:49 AM? Calculation: 6:11 AM Situation: What is 525 minutes before 4:48 PM? Calculation: 8:03 AM Situation: What is 552 minutes before 2:10 AM? Calculation: 4:58 PM Situation: What is 27 minutes after 1:2
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numbers: gcd ------------ Inquiry: Calculate the highest common divisor of 96 and 536. A: 8 Inquiry: What is the greatest common factor of 32 and 144? A: 16 Inquiry: Calculate the highest common divisor of 5203 and 27588. A: 121 Inquiry: What is the highest common divisor of 222 and 148? A: 74 Inquiry: Calculate the greatest common divisor of 108 and 1152. A: 36 Inquiry: Calculate the greatest common factor of 38551 and 19. A: 19 Inquiry: What is the greatest common factor of 2214 and 10086? A: 246 Inquiry: What is the highest common factor of 136 and 696? A: 8 Inquiry: What is the highest common factor of 10 and 2690? A: 10 Inquiry: What is the greatest common factor of 61808 and 16? A: 16 Inquiry: What is the highest common factor of 192 and 972? A: 12 Inquiry: What is the greatest common divisor of 74 and 93826820? A: 74 Inquiry: What is the highest common divisor of 2342888 and 488? A: 488 Inquiry: Calculate the greatest common divisor of 9773 and 2858771. A: 337 Inquiry: Calculate the highest common divisor of 2074130 and 1305035. A: 1055 Inquiry: What is the greatest common factor of 8 and 50? A: 2 Inquiry: Calculate the highest common factor of 3504 and 2847. A: 219 Inquiry: What is the greatest common factor of 136022 and 251298? A: 46 Inquiry: Calculate the highest common divisor of 24 and 804. A: 12 Inquiry: What is the highest common factor of 372 and 289602? A: 186 Inquiry: Calculate the greatest common divisor of 1012140 and 2034. A: 18 Inquiry: Calculate the greatest common divisor of 14278995 and 180. A: 45 Inquiry: What is the highest common divisor of 220 and 1537415? A: 55 Inquiry: What is the greatest common divisor of 76115620 and 3535? A: 3535 Inquiry: Calculate the highest common divisor of 208 and 138526622. A: 26 Inquiry: Calculate the greatest common divisor of 221 and 117861. A: 17 Inquiry: Calculate the greatest common factor of 368 and 69. A: 23 Inquiry: Calculate the highest common factor of 81 and 63. A: 9 Inquiry: Calculate the greates
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probability: swr p sequence --------------------------- Statement: Calculate prob of sequence rr when two letters picked without replacement from ffrrfffrffrffffrfff. β†’: 10/171 Statement: Four letters picked without replacement from llllmmlltllttlmllmtl. What is prob of sequence lltl? β†’: 44/969 Statement: Four letters picked without replacement from {o: 2, m: 5, n: 2, y: 6, u: 1}. What is prob of sequence ouoy? β†’: 1/3640 Statement: Four letters picked without replacement from {t: 4, m: 3, b: 2, z: 3, p: 1, s: 2}. Give prob of sequence mbbt. β†’: 1/1365 Statement: Four letters picked without replacement from {j: 4, x: 2}. Give prob of sequence xjjj. β†’: 2/15 Statement: Calculate prob of sequence vi when two letters picked without replacement from iiaiaioaiaiiiavajivs. β†’: 9/190 Statement: Calculate prob of sequence cnn when three letters picked without replacement from {m: 3, c: 1, i: 1, n: 2}. β†’: 1/105 Statement: Calculate prob of sequence rdd when three letters picked without replacement from drdhdrdhd. β†’: 5/63 Statement: Two letters picked without replacement from xnnnqnfqqq. Give prob of sequence qf. β†’: 2/45 Statement: What is prob of sequence vgyg when four letters picked without replacement from {y: 1, g: 2, v: 1}? β†’: 1/12 Statement: Three letters picked without replacement from upeuuwiqipewuewi. What is prob of sequence iwu? β†’: 3/280 Statement: Calculate prob of sequence quq when three letters picked without replacement from qqqqquuqq. β†’: 1/6 Statement: What is prob of sequence uut when three letters picked without replacement from eeetteutueeuteu? β†’: 8/455 Statement: Two letters picked without replacement from osiwmdw. Give prob of sequence md. β†’: 1/42 Statement: Two letters picked without replacement from kpdrkpb. What is prob of sequence pb? β†’: 1/21 Statement: What is prob of sequence ssls when four letters picked without replacement from {s: 10, l: 2}? β†’: 4/33 Statement: Two letters picked without replacement from ebbyjbjjjejayj. What is prob of sequence be? β†’
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numbers: gcd ------------ Statement: Calculate the greatest common divisor of 2676 and 12. Soln: 12 Statement: What is the highest common divisor of 6 and 23474? Soln: 2 Statement: Calculate the greatest common divisor of 42 and 1498. Soln: 14 Statement: Calculate the greatest common factor of 3304248 and 9760. Soln: 488 Statement: What is the greatest common factor of 25026708 and 651? Soln: 21 Statement: What is the greatest common divisor of 115872 and 102? Soln: 102 Statement: What is the highest common factor of 51 and 7836? Soln: 3 Statement: Calculate the highest common factor of 95 and 18905. Soln: 95 Statement: Calculate the greatest common factor of 13 and 611. Soln: 13 Statement: What is the greatest common factor of 964 and 3092? Soln: 4 Statement: Calculate the greatest common divisor of 1107793127 and 2373. Soln: 791 Statement: What is the greatest common factor of 45 and 5? Soln: 5 Statement: What is the greatest common factor of 9 and 117? Soln: 9 Statement: Calculate the highest common divisor of 500404238 and 168038. Soln: 12926 Statement: Calculate the highest common factor of 45 and 409320. Soln: 45 Statement: Calculate the highest common divisor of 168 and 126. Soln: 42 Statement: Calculate the highest common divisor of 28919 and 242. Soln: 121 Statement: What is the highest common factor of 29009106 and 28458? Soln: 306 Statement: Calculate the greatest common factor of 187 and 55. Soln: 11 Statement: What is the highest common divisor of 83041875 and 315? Soln: 315 Statement: What is the highest common factor of 712 and 178? Soln: 178 Statement: Calculate the highest common factor of 5310 and 522. Soln: 18 Statement: Calculate the greatest common factor of 11121 and 99. Soln: 33 Statement: What is the greatest common divisor of 16864 and 51? Soln: 17 Statement: Calculate the highest common divisor of 9638 and 869. Soln: 79 Statement: Calculate the highest common divisor of 450 and 18. Soln: 18 Statement: What is the greatest common divisor of
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probability: swr p sequence --------------------------- Problem: What is prob of sequence ddp when three letters picked without replacement from pdddpddpdddd? A: 9/55 Problem: Calculate prob of sequence mzwu when four letters picked without replacement from {w: 1, u: 2, p: 1, m: 2, z: 1}. A: 1/210 Problem: Calculate prob of sequence uu when two letters picked without replacement from {a: 5, u: 2}. A: 1/21 Problem: Two letters picked without replacement from bhbbvibbhhbbhv. Give prob of sequence hb. A: 2/13 Problem: Calculate prob of sequence dlx when three letters picked without replacement from {a: 1, r: 1, d: 2, v: 1, x: 2, l: 1}. A: 1/84 Problem: Three letters picked without replacement from mmrrrmrmrrrrs. What is prob of sequence rsm? A: 8/429 Problem: What is prob of sequence lsb when three letters picked without replacement from slvvvbasavbsvslbsbss? A: 7/855 Problem: Three letters picked without replacement from qaqzzacrccaazqb. Give prob of sequence bqc. A: 3/910 Problem: Two letters picked without replacement from vnvnrvvzvzsvsvzvv. What is prob of sequence zz? A: 3/136 Problem: Two letters picked without replacement from {a: 5, j: 4, d: 2, o: 1, n: 2}. Give prob of sequence oa. A: 5/182 Problem: Three letters picked without replacement from peppvvvpeepvppepvpp. What is prob of sequence eee? A: 4/969 Problem: Three letters picked without replacement from {s: 3, i: 8}. Give prob of sequence iii. A: 56/165 Problem: What is prob of sequence on when two letters picked without replacement from {p: 1, c: 2, n: 3, d: 1, m: 1, o: 4}? A: 1/11 Problem: Three letters picked without replacement from rnlhccrohlccrrhhcccr. Give prob of sequence roc. A: 7/1368 Problem: Two letters picked without replacement from zhzhfzh. Give prob of sequence fz. A: 1/14 Problem: What is prob of sequence sng when three letters picked without replacement from sggstrgtstgnt? A: 1/143 Problem: Calculate prob of sequence bt when two letters picked without replacement from {b: 7, u: 6, t: 6}.
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numbers: place value -------------------- Let us solve: What is the hundreds digit of 3295? Explanation: 2 Let us solve: What is the hundred thousands digit of 518824? Explanation: 5 Let us solve: What is the millions digit of 4451498? Explanation: 4 Let us solve: What is the hundreds digit of 2632? Explanation: 6 Let us solve: What is the millions digit of 17158636? Explanation: 7 Let us solve: What is the thousands digit of 589469? Explanation: 9 Let us solve: What is the hundred thousands digit of 241650? Explanation: 2 Let us solve: What is the tens digit of 2870? Explanation: 7 Let us solve: What is the thousands digit of 8446? Explanation: 8 Let us solve: What is the tens digit of 38219? Explanation: 1 Let us solve: What is the ten thousands digit of 18123? Explanation: 1 Let us solve: What is the hundred thousands digit of 66685565? Explanation: 6 Let us solve: What is the hundreds digit of 186482? Explanation: 4 Let us solve: What is the ten thousands digit of 59544? Explanation: 5 Let us solve: What is the ten millions digit of 99062049? Explanation: 9 Let us solve: What is the hundred thousands digit of 11118235? Explanation: 1 Let us solve: What is the hundreds digit of 6411907? Explanation: 9 Let us solve: What is the tens digit of 2318705? Explanation: 0 Let us solve: What is the hundred thousands digit of 638289? Explanation: 6 Let us solve: What is the units digit of 132? Explanation: 2 Let us solve: What is the millions digit of 388702182? Explanation: 8 Let us solve: What is the thousands digit of 1685? Explanation: 1 Let us solve: What is the ten thousands digit of 156827? Explanation: 5 Let us solve: What is the thousands digit of 6186? Explanation: 6 Let us solve: What is the units digit of 38480? Explanation: 0 Let us solve: What is the thousands digit of 8213? Explanation: 8 Let us solve: What is the units digit of 5950? Explanation: 0 Let us solve: What is the ten thousands digit of 33443? Explanation: 3 Let us solve: What is the ten thousands
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probability: swr p level set ---------------------------- Math Q: Three letters picked without replacement from {c: 4, a: 1, n: 9}. What is prob of picking 1 c and 2 n? Soln: 36/91 Math Q: What is prob of picking 2 b when two letters picked without replacement from fbffbffbbbfffbffff? Soln: 5/51 Math Q: What is prob of picking 3 v and 1 j when four letters picked without replacement from fjjjrvjjvjvjjvvj? Soln: 9/182 Math Q: What is prob of picking 1 y and 3 q when four letters picked without replacement from zyuzzyddddyydqzyqyzq? Soln: 2/1615 Math Q: What is prob of picking 1 y, 1 z, 1 n, and 1 x when four letters picked without replacement from ynxzf? Soln: 1/5 Math Q: Four letters picked without replacement from vpxohvv. Give prob of picking 3 v and 1 h. Soln: 1/35 Math Q: Calculate prob of picking 2 e when two letters picked without replacement from nhegeggegecggheg. Soln: 1/12 Math Q: Calculate prob of picking 2 r when two letters picked without replacement from {b: 9, f: 1, l: 6, r: 2}. Soln: 1/153 Math Q: Three letters picked without replacement from oookokoooooooooooooo. Give prob of picking 1 o and 2 k. Soln: 3/190 Math Q: Two letters picked without replacement from yyjjygjyjy. Give prob of picking 1 y and 1 j. Soln: 4/9 Math Q: Three letters picked without replacement from tmtmzmtzmmmm. Give prob of picking 2 m and 1 z. Soln: 21/110 Math Q: Two letters picked without replacement from ujhau. What is prob of picking 1 j and 1 h? Soln: 1/10 Math Q: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, u: 5, m: 1, j: 11}. Soln: 1/171 Math Q: Calculate prob of picking 3 n when three letters picked without replacement from {w: 1, g: 1, n: 4, x: 7, r: 3}. Soln: 1/140 Math Q: Two letters picked without replacement from djrdjjjjddjrjj. What is prob of picking 2 d? Soln: 6/91 Math Q: Three letters picked without replacement from {z: 2, y: 1, x: 2, h: 2, e: 1}. What is prob of picking 2 x and 1 z? Soln: 1/28 Math Q: Two letters picked
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numbers: place value -------------------- Question: What is the hundred thousands digit of 1992528804? Math A: 5 Question: What is the ten millions digit of 143497127? Math A: 4 Question: What is the thousands digit of 545744? Math A: 5 Question: What is the hundred thousands digit of 2583726309? Math A: 7 Question: What is the units digit of 894304? Math A: 4 Question: What is the hundreds digit of 6814? Math A: 8 Question: What is the millions digit of 2654845? Math A: 2 Question: What is the hundred thousands digit of 139393536? Math A: 3 Question: What is the hundreds digit of 459? Math A: 4 Question: What is the ten thousands digit of 131883? Math A: 3 Question: What is the hundreds digit of 441665668? Math A: 6 Question: What is the hundreds digit of 860853? Math A: 8 Question: What is the hundreds digit of 6712? Math A: 7 Question: What is the units digit of 5254772? Math A: 2 Question: What is the units digit of 4428? Math A: 8 Question: What is the hundreds digit of 399408? Math A: 4 Question: What is the units digit of 1222943? Math A: 3 Question: What is the tens digit of 432464? Math A: 6 Question: What is the thousands digit of 42483808? Math A: 3 Question: What is the hundreds digit of 9699? Math A: 6 Question: What is the ten thousands digit of 30940808? Math A: 4 Question: What is the ten millions digit of 276565005? Math A: 7 Question: What is the units digit of 9081? Math A: 1 Question: What is the ten thousands digit of 41574323? Math A: 7 Question: What is the units digit of 723646? Math A: 6 Question: What is the hundreds digit of 1495? Math A: 4 Question: What is the units digit of 21? Math A: 1 Question: What is the tens digit of 435? Math A: 3 Question: What is the hundreds digit of 182885? Math A: 8 Question: What is the units digit of 15146? Math A: 6 Question: What is the hundreds digit of 33163? Math A: 1 Question: What is the tens digit of 2081? Math A: 8 Question: What is the units digit of 2761? Math A: 1 Question: What is the units di
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