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numbers: place value -------------------- Part A: What is the ten millions digit of 1178882563? Derivation: 7 Part A: What is the tens digit of 1825? Derivation: 2 Part A: What is the ten millions digit of 40744780? Derivation: 4 Part A: What is the tens digit of 919902? Derivation: 0 Part A: What is the tens digit of 810932? Derivation: 3 Part A: What is the hundreds digit of 8390? Derivation: 3 Part A: What is the thousands digit of 9646? Derivation: 9 Part A: What is the millions digit of 7850546289? Derivation: 0 Part A: What is the ten millions digit of 284921097? Derivation: 8 Part A: What is the hundred thousands digit of 8494827? Derivation: 4 Part A: What is the hundreds digit of 12399355? Derivation: 3 Part A: What is the ten thousands digit of 395960? Derivation: 9 Part A: What is the thousands digit of 238623? Derivation: 8 Part A: What is the hundred thousands digit of 1638487? Derivation: 6 Part A: What is the units digit of 20552224? Derivation: 4 Part A: What is the hundreds digit of 47722? Derivation: 7 Part A: What is the units digit of 1974? Derivation: 4 Part A: What is the hundreds digit of 1394263267? Derivation: 2 Part A: What is the units digit of 41388? Derivation: 8 Part A: What is the hundred thousands digit of 203142? Derivation: 2 Part A: What is the thousands digit of 470426? Derivation: 0 Part A: What is the thousands digit of 3606? Derivation: 3 Part A: What is the millions digit of 26117953? Derivation: 6 Part A: What is the units digit of 11432? Derivation: 2 Part A: What is the tens digit of 1456? Derivation: 5 Part A: What is the hundreds digit of 20298284? Derivation: 2 Part A: What is the hundreds digit of 312? Derivation: 3 Part A: What is the units digit of 860794? Derivation: 4 Part A: What is the thousands digit of 390964? Derivation: 0 Part A: What is the tens digit of 32419? Derivation: 1 Part A: What is the hundred thousands digit of 96907579? Derivation: 9 Part A: What is the tens digit of 404787? Derivation: 8 Part A: W
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measurement: conversion ----------------------- Test item: How many hours are there in 9/14 of a week? Calculation: 108 Test item: How many centuries are there in 81/2 of a millennium? Calculation: 405 Test item: How many decades are there in twenty-nine halves of a century? Calculation: 145 Test item: How many grams are there in 19/4 of a kilogram? Calculation: 4750 Test item: What is 91.60309l in millilitres? Calculation: 91603.09 Test item: How many millilitres are there in fourty-three quarters of a litre? Calculation: 10750 Test item: What is 1/5 of a minute in milliseconds? Calculation: 12000 Test item: What is 0.7299067 litres in millilitres? Calculation: 729.9067 Test item: What is 0.1244916 days in microseconds? Calculation: 10756074240 Test item: How many micrometers are there in one sixteenth of a meter? Calculation: 62500 Test item: What is 0.2787087cm in millimeters? Calculation: 2.787087 Test item: How many microseconds are there in 141261.4ns? Calculation: 141.2614 Test item: What is 7808.754um in centimeters? Calculation: 0.7808754 Test item: What is 0.2866628 micrometers in centimeters? Calculation: 0.00002866628 Test item: How many seconds are there in one quarter of a day? Calculation: 21600 Test item: How many meters are there in 21/4 of a kilometer? Calculation: 5250 Test item: How many millilitres are there in 11/4 of a litre? Calculation: 2750 Test item: How many millimeters are there in 3/5 of a meter? Calculation: 600 Test item: Convert 51367.59s to microseconds. Calculation: 51367590000 Test item: What is 9/16 of a day in seconds? Calculation: 48600 Test item: How many months are there in 67/4 of a century? Calculation: 20100 Test item: What is 502909.6l in millilitres? Calculation: 502909600 Test item: What is eighty-one quarters of a micrometer in nanometers? Calculation: 20250 Test item: What is 20136.63um in centimeters? Calculation: 2.013663 Test item: Convert 20424.99 days to milliseconds. Calculation: 1764719136000 Test item: What is
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measurement: conversion ----------------------- Question: How many millennia are there in 9.764061 centuries? Hence: 0.9764061 Question: What is 0.026099um in centimeters? Hence: 0.0000026099 Question: Convert 81.39232s to microseconds. Hence: 81392320 Question: What is 9/10 of a millennium in decades? Hence: 90 Question: How many minutes are there in 3/40 of a day? Hence: 108 Question: How many milliseconds are there in 1/5 of a minute? Hence: 12000 Question: Convert 0.9936528mg to grams. Hence: 0.0009936528 Question: What is three fifths of a week in minutes? Hence: 6048 Question: Convert 0.0933926 years to decades. Hence: 0.00933926 Question: What is 46/5 of a milligram in micrograms? Hence: 9200 Question: Convert 7.824056 hours to microseconds. Hence: 28166601600 Question: What is three tenths of a second in milliseconds? Hence: 300 Question: How many micrometers are there in 21/8 of a centimeter? Hence: 26250 Question: What is 6550.037 millilitres in litres? Hence: 6.550037 Question: What is 31/5 of a meter in millimeters? Hence: 6200 Question: How many nanometers are there in 445.711 kilometers? Hence: 445711000000000 Question: How many months are there in four thirds of a decade? Hence: 160 Question: What is 1/10 of a litre in millilitres? Hence: 100 Question: What is three tenths of a litre in millilitres? Hence: 300 Question: What is 32/5 of a litre in millilitres? Hence: 6400 Question: Convert 132.4501227 nanoseconds to weeks. Hence: 0.00000000000021899821875 Question: What is 285696.1 milliseconds in nanoseconds? Hence: 285696100000 Question: Convert 0.0576275l to millilitres. Hence: 57.6275 Question: How many micrometers are there in 6/5 of a centimeter? Hence: 12000 Question: What is thirty-one halves of a millisecond in microseconds? Hence: 15500 Question: What is 7227.114 kilograms in nanograms? Hence: 7227114000000000 Question: What is 0.7692386 tonnes in milligrams? Hence: 769238600 Question: How many weeks are there in 100.1307258 milliseconds? Hen
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numbers: place value -------------------- Given: What is the hundred millions digit of 126232534? Sol: 1 Given: What is the ten thousands digit of 54366? Sol: 5 Given: What is the hundreds digit of 5802301? Sol: 3 Given: What is the units digit of 64? Sol: 4 Given: What is the tens digit of 858? Sol: 5 Given: What is the ten millions digit of 76457135? Sol: 7 Given: What is the tens digit of 560? Sol: 6 Given: What is the tens digit of 16425? Sol: 2 Given: What is the units digit of 1130? Sol: 0 Given: What is the thousands digit of 3419? Sol: 3 Given: What is the hundred thousands digit of 16178544? Sol: 1 Given: What is the millions digit of 4317963? Sol: 4 Given: What is the units digit of 40? Sol: 0 Given: What is the billions digit of 2040868037? Sol: 2 Given: What is the thousands digit of 29703137? Sol: 3 Given: What is the millions digit of 389044893? Sol: 9 Given: What is the units digit of 198041937? Sol: 7 Given: What is the ten millions digit of 157569927? Sol: 5 Given: What is the millions digit of 20722642? Sol: 0 Given: What is the ten thousands digit of 976302? Sol: 7 Given: What is the tens digit of 5121? Sol: 2 Given: What is the hundred thousands digit of 189215547? Sol: 2 Given: What is the units digit of 1320? Sol: 0 Given: What is the tens digit of 693? Sol: 9 Given: What is the hundred thousands digit of 1438566? Sol: 4 Given: What is the tens digit of 134903? Sol: 0 Given: What is the ten millions digit of 37055422? Sol: 3 Given: What is the ten thousands digit of 99095? Sol: 9 Given: What is the tens digit of 28016? Sol: 1 Given: What is the units digit of 6817? Sol: 7 Given: What is the tens digit of 1109968? Sol: 6 Given: What is the thousands digit of 5626? Sol: 5 Given: What is the hundreds digit of 961? Sol: 9 Given: What is the hundreds digit of 2190? Sol: 1 Given: What is the hundreds digit of 4085136? Sol: 1 Given: What is the tens digit of 8514? Sol: 1 Given: What is the units digit of 915? Sol: 5 Given: What is the ten thousands di
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numbers: gcd ------------ Conundrum: Calculate the highest common factor of 1321896 and 36. Sol: 12 Conundrum: What is the greatest common factor of 119704 and 208? Sol: 104 Conundrum: Calculate the highest common factor of 1546 and 73910. Sol: 2 Conundrum: What is the greatest common divisor of 29545 and 760? Sol: 95 Conundrum: Calculate the greatest common divisor of 506450 and 19600. Sol: 350 Conundrum: Calculate the highest common divisor of 2323 and 3261584. Sol: 23 Conundrum: What is the highest common factor of 767 and 52? Sol: 13 Conundrum: What is the greatest common divisor of 2905352 and 1576? Sol: 8 Conundrum: What is the highest common divisor of 448 and 221956? Sol: 28 Conundrum: What is the highest common divisor of 78 and 52? Sol: 26 Conundrum: Calculate the greatest common divisor of 475 and 27339575. Sol: 475 Conundrum: Calculate the greatest common factor of 34686 and 138006. Sol: 738 Conundrum: What is the greatest common divisor of 295 and 10? Sol: 5 Conundrum: What is the highest common factor of 2111898 and 20445? Sol: 141 Conundrum: Calculate the greatest common divisor of 45331 and 13. Sol: 13 Conundrum: What is the highest common factor of 59163 and 5772? Sol: 1443 Conundrum: Calculate the highest common factor of 60831 and 2030265. Sol: 81 Conundrum: Calculate the highest common factor of 8175 and 6575970. Sol: 1635 Conundrum: What is the greatest common divisor of 32 and 3024? Sol: 16 Conundrum: What is the highest common factor of 864 and 15658848? Sol: 288 Conundrum: Calculate the greatest common factor of 2 and 78566. Sol: 2 Conundrum: Calculate the highest common divisor of 30 and 15. Sol: 15 Conundrum: What is the greatest common factor of 192608 and 104? Sol: 104 Conundrum: Calculate the greatest common factor of 32 and 1562. Sol: 2 Conundrum: Calculate the greatest common divisor of 114 and 80195789. Sol: 19 Conundrum: What is the greatest common factor of 755 and 5? Sol: 5 Conundrum: Calculate the highest common factor of 97650 an
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measurement: conversion ----------------------- Step: Convert 30048.89l to millilitres. Derivation: 30048890 Step: How many nanometers are there in 3/50 of a millimeter? Derivation: 60000 Step: What is eleven halves of a litre in millilitres? Derivation: 5500 Step: What is twenty-nine fifths of a gram in milligrams? Derivation: 5800 Step: What is 711.8422l in millilitres? Derivation: 711842.2 Step: How many milliseconds are there in 3/5 of a second? Derivation: 600 Step: How many micrograms are there in eighteen fifths of a milligram? Derivation: 3600 Step: How many centimeters are there in 6.31433 millimeters? Derivation: 0.631433 Step: How many seconds are there in 3/8 of a day? Derivation: 32400 Step: How many micrograms are there in 0.2661203 kilograms? Derivation: 266120300 Step: What is twenty-nine sixths of a minute in seconds? Derivation: 290 Step: What is 21/2 of a day in minutes? Derivation: 15120 Step: How many litres are there in 8938.334 millilitres? Derivation: 8.938334 Step: How many centimeters are there in one tenth of a meter? Derivation: 10 Step: What is 5.403736 millilitres in litres? Derivation: 0.005403736 Step: Convert 714.585 nanograms to grams. Derivation: 0.000000714585 Step: What is 0.85724 hours in microseconds? Derivation: 3086064000 Step: What is seven quarters of a kilogram in grams? Derivation: 1750 Step: How many meters are there in 109639.5mm? Derivation: 109.6395 Step: How many minutes are there in 1/15 of a hour? Derivation: 4 Step: Convert 98421.73ml to litres. Derivation: 98.42173 Step: How many kilograms are there in 366.8101ng? Derivation: 0.0000000003668101 Step: How many years are there in seventeen quarters of a millennium? Derivation: 4250 Step: What is thirty-two fifths of a kilogram in grams? Derivation: 6400 Step: What is three fifths of a meter in millimeters? Derivation: 600 Step: How many milligrams are there in 27/2 of a gram? Derivation: 13500 Step: What is 373.7954 weeks in days? Derivation: 2616.5678 Step: How ma
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numbers: is factor ------------------ Subquestion: Is 67888504 a multiple of 15? Resolution: False Subquestion: Is 20 a factor of 437637216? Resolution: False Subquestion: Is 45 a factor of 916263? Resolution: False Subquestion: Is 12 a factor of 470642? Resolution: False Subquestion: Is 17 a factor of 1445? Resolution: True Subquestion: Is 789 a factor of 1150362? Resolution: True Subquestion: Is 628 a factor of 634695108? Resolution: True Subquestion: Is 979 a multiple of 5? Resolution: False Subquestion: Does 60 divide 660? Resolution: True Subquestion: Is 384 a factor of 2509202304? Resolution: True Subquestion: Is 59 a factor of 3581359? Resolution: True Subquestion: Does 981 divide 391657383? Resolution: True Subquestion: Is 182719 a multiple of 227? Resolution: False Subquestion: Is 68 a factor of 1077081? Resolution: False Subquestion: Is 855732359 a multiple of 4993? Resolution: False Subquestion: Is 27 a factor of 110? Resolution: False Subquestion: Does 11 divide 11? Resolution: True Subquestion: Is 58 a factor of 7366? Resolution: True Subquestion: Is 28 a factor of 2701? Resolution: False Subquestion: Does 852 divide 1976640? Resolution: True Subquestion: Is 283 a factor of 1384908375? Resolution: False Subquestion: Does 15 divide 66270? Resolution: True Subquestion: Is 1247 a factor of 196607240? Resolution: False Subquestion: Does 35 divide 33845? Resolution: True Subquestion: Does 13 divide 1334346? Resolution: True Subquestion: Is 1459 a factor of 444376384? Resolution: True Subquestion: Does 334 divide 33793183? Resolution: False Subquestion: Is 671751706 a multiple of 1137? Resolution: False Subquestion: Is 264336335 a multiple of 555? Resolution: False Subquestion: Does 9 divide 32031? Resolution: True Subquestion: Does 194 divide 31541577? Resolution: False Subquestion: Does 66 divide 213972? Resolution: True Subquestion: Does 461 divide 14291? Resolution: True Subquestion: Is 4 a factor of 10619? Resolution: False Subquestion: Is 378 a factor o
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numbers: is prime ----------------- Example: Is 1137403 a composite number? Finding: False Example: Is 107893 composite? Finding: True Example: Is 610817 composite? Finding: False Example: Is 55751 composite? Finding: True Example: Is 7143841 composite? Finding: False Example: Is 672303 a composite number? Finding: True Example: Is 1790515 a prime number? Finding: False Example: Is 49817291 prime? Finding: False Example: Is 120624881327 a composite number? Finding: False Example: Is 2054687 a prime number? Finding: True Example: Is 141409 composite? Finding: True Example: Is 21454217 a composite number? Finding: False Example: Is 459499 a prime number? Finding: False Example: Is 1072537 a composite number? Finding: False Example: Is 19661 prime? Finding: True Example: Is 40203817 composite? Finding: True Example: Is 48665 a composite number? Finding: True Example: Is 3015839 a composite number? Finding: False Example: Is 33964429 a composite number? Finding: True Example: Is 91705061909 prime? Finding: False Example: Is 936437767 prime? Finding: True Example: Is 548588939 composite? Finding: True Example: Is 6943693 a composite number? Finding: True Example: Is 214938601 a prime number? Finding: True Example: Is 27838769737 prime? Finding: False Example: Is 18463 composite? Finding: True Example: Is 17950607 prime? Finding: True Example: Is 3127 a prime number? Finding: False Example: Is 50671 composite? Finding: False Example: Is 204159 composite? Finding: True Example: Is 278471 a composite number? Finding: True Example: Is 3407977 prime? Finding: True Example: Is 28314457 composite? Finding: False Example: Is 3432857 composite? Finding: False Example: Is 11315201 a composite number? Finding: False Example: Is 22549 composite? Finding: False Example: Is 286487 a prime number? Finding: True Example: Is 263890157 prime? Finding: False Example: Is 3492461 a prime number? Finding: False Example: Is 2312603 composite? Finding: False Example: Is 306562831 a prime number
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numbers: place value -------------------- Problem Statement: What is the hundred thousands digit of 887075606? Conclusion: 0 Problem Statement: What is the ten thousands digit of 295103938? Conclusion: 0 Problem Statement: What is the hundreds digit of 2290103? Conclusion: 1 Problem Statement: What is the ten millions digit of 14517433? Conclusion: 1 Problem Statement: What is the units digit of 571? Conclusion: 1 Problem Statement: What is the hundred thousands digit of 11740720? Conclusion: 7 Problem Statement: What is the units digit of 92319? Conclusion: 9 Problem Statement: What is the units digit of 39652? Conclusion: 2 Problem Statement: What is the units digit of 773205? Conclusion: 5 Problem Statement: What is the hundred thousands digit of 9107743? Conclusion: 1 Problem Statement: What is the millions digit of 3369336? Conclusion: 3 Problem Statement: What is the thousands digit of 575721? Conclusion: 5 Problem Statement: What is the hundreds digit of 6340? Conclusion: 3 Problem Statement: What is the tens digit of 165227? Conclusion: 2 Problem Statement: What is the thousands digit of 2379? Conclusion: 2 Problem Statement: What is the hundred thousands digit of 1828941? Conclusion: 8 Problem Statement: What is the thousands digit of 949683? Conclusion: 9 Problem Statement: What is the millions digit of 189944633? Conclusion: 9 Problem Statement: What is the tens digit of 261? Conclusion: 6 Problem Statement: What is the units digit of 5710203? Conclusion: 3 Problem Statement: What is the thousands digit of 1366? Conclusion: 1 Problem Statement: What is the ten thousands digit of 380131? Conclusion: 8 Problem Statement: What is the ten millions digit of 20341493? Conclusion: 2 Problem Statement: What is the thousands digit of 47469565? Conclusion: 9 Problem Statement: What is the hundreds digit of 24230037? Conclusion: 0 Problem Statement: What is the hundreds digit of 37206? Conclusion: 2 Problem Statement: What is the thousands digit of 40265? Conclusion
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arithmetic: nearest integer root -------------------------------- Issue: What is 1531570152 to the power of 1/2, to the nearest integer? Interpretation: 39135 Issue: What is the cube root of 22539 to the nearest integer? Interpretation: 28 Issue: What is 1202470832 to the power of 1/3, to the nearest integer? Interpretation: 1063 Issue: What is the tenth root of 5817 to the nearest integer? Interpretation: 2 Issue: What is the square root of 1132 to the nearest integer? Interpretation: 34 Issue: What is the cube root of 3372 to the nearest integer? Interpretation: 15 Issue: What is the sixth root of 166066107 to the nearest integer? Interpretation: 23 Issue: What is the square root of 21593 to the nearest integer? Interpretation: 147 Issue: What is the square root of 10673553 to the nearest integer? Interpretation: 3267 Issue: What is 64983 to the power of 1/2, to the nearest integer? Interpretation: 255 Issue: What is the fifth root of 1343 to the nearest integer? Interpretation: 4 Issue: What is 12014 to the power of 1/8, to the nearest integer? Interpretation: 3 Issue: What is the seventh root of 24057676 to the nearest integer? Interpretation: 11 Issue: What is the square root of 337994 to the nearest integer? Interpretation: 581 Issue: What is 13192742 to the power of 1/2, to the nearest integer? Interpretation: 3632 Issue: What is 74416 to the power of 1/5, to the nearest integer? Interpretation: 9 Issue: What is 240026022 to the power of 1/8, to the nearest integer? Interpretation: 11 Issue: What is 7589652 to the power of 1/8, to the nearest integer? Interpretation: 7 Issue: What is the cube root of 1657488846 to the nearest integer? Interpretation: 1183 Issue: What is the fifth root of 877 to the nearest integer? Interpretation: 4 Issue: What is the fourth root of 358537 to the nearest integer? Interpretation: 24 Issue: What is 2107461138 to the power of 1/3, to the nearest integer? Interpretation: 1282 Issue: What is the ninth root of 42149947 to the neare
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measurement: time ----------------- Prompt: How many minutes are there between 9:36 PM and 12:32 AM? Response: 176 Prompt: What is 639 minutes before 3:42 PM? Response: 5:03 AM Prompt: What is 406 minutes after 2:45 PM? Response: 9:31 PM Prompt: What is 277 minutes after 3:59 PM? Response: 8:36 PM Prompt: What is 448 minutes after 4:32 PM? Response: 12:00 AM Prompt: How many minutes are there between 2:02 PM and 8:36 PM? Response: 394 Prompt: How many minutes are there between 3:52 PM and 4:28 PM? Response: 36 Prompt: How many minutes are there between 2:07 PM and 2:46 PM? Response: 39 Prompt: How many minutes are there between 7:32 AM and 6:16 PM? Response: 644 Prompt: What is 681 minutes after 8:25 AM? Response: 7:46 PM Prompt: How many minutes are there between 2:01 PM and 8:39 PM? Response: 398 Prompt: What is 240 minutes after 7:12 PM? Response: 11:12 PM Prompt: How many minutes are there between 5:26 PM and 10:05 PM? Response: 279 Prompt: How many minutes are there between 11:42 PM and 2:06 AM? Response: 144 Prompt: What is 526 minutes before 4:55 PM? Response: 8:09 AM Prompt: What is 367 minutes before 7:50 PM? Response: 1:43 PM Prompt: What is 514 minutes before 11:34 PM? Response: 3:00 PM Prompt: How many minutes are there between 7:08 PM and 7:33 PM? Response: 25 Prompt: How many minutes are there between 12:29 AM and 9:24 AM? Response: 535 Prompt: How many minutes are there between 3:46 PM and 2:50 AM? Response: 664 Prompt: What is 139 minutes after 4:40 PM? Response: 6:59 PM Prompt: What is 503 minutes after 4:22 AM? Response: 12:45 PM Prompt: What is 660 minutes before 3:01 PM? Response: 4:01 AM Prompt: What is 195 minutes after 2:03 PM? Response: 5:18 PM Prompt: What is 141 minutes before 2:11 AM? Response: 11:50 PM Prompt: How many minutes are there between 2:27 PM and 5:28 PM? Response: 181 Prompt: How many minutes are there between 3:37 AM and 12:46 PM? Response: 549 Prompt: How many minutes are there between 1:04 PM and 8:08 PM? Response: 424 Promp
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measurement: conversion ----------------------- Ask: How many minutes are there in 7/6 of a week? Output: 11760 Ask: What is eleven halves of a litre in millilitres? Output: 5500 Ask: What is 411.396 tonnes in micrograms? Output: 411396000000000 Ask: How many decades are there in nine tenths of a millennium? Output: 90 Ask: How many millilitres are there in three fifths of a litre? Output: 600 Ask: Convert 8.445547ns to microseconds. Output: 0.008445547 Ask: How many kilograms are there in three fifths of a tonne? Output: 600 Ask: How many meters are there in 0.4989372 centimeters? Output: 0.004989372 Ask: How many kilograms are there in thirteen fifths of a tonne? Output: 2600 Ask: How many micrometers are there in 3/10 of a millimeter? Output: 300 Ask: How many meters are there in three eighths of a kilometer? Output: 375 Ask: What is 3/40 of a second in microseconds? Output: 75000 Ask: How many minutes are there in one eighteenth of a week? Output: 560 Ask: How many millilitres are there in five eighths of a litre? Output: 625 Ask: What is 26.07321 litres in millilitres? Output: 26073.21 Ask: What is 11/4 of a kilometer in meters? Output: 2750 Ask: How many centimeters are there in seventy-four fifths of a meter? Output: 1480 Ask: Convert 0.2004647 grams to milligrams. Output: 200.4647 Ask: What is 11/4 of a meter in centimeters? Output: 275 Ask: What is 0.209784us in seconds? Output: 0.000000209784 Ask: How many grams are there in 19/4 of a kilogram? Output: 4750 Ask: How many millimeters are there in 55/2 of a centimeter? Output: 275 Ask: How many years are there in three tenths of a century? Output: 30 Ask: What is 98.7947 meters in nanometers? Output: 98794700000 Ask: How many centimeters are there in 6/25 of a kilometer? Output: 24000 Ask: How many kilograms are there in 8/25 of a tonne? Output: 320 Ask: What is 0.0582207g in tonnes? Output: 0.0000000582207 Ask: What is 33/5 of a litre in millilitres? Output: 6600 Ask: How many millilitres are there in 3/8 o
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measurement: time ----------------- Part A: How many minutes are there between 6:00 PM and 12:13 AM? Workthrough: 373 Part A: How many minutes are there between 6:26 PM and 11:49 PM? Workthrough: 323 Part A: What is 144 minutes after 4:20 PM? Workthrough: 6:44 PM Part A: How many minutes are there between 4:31 AM and 7:26 AM? Workthrough: 175 Part A: How many minutes are there between 2:19 AM and 12:15 PM? Workthrough: 596 Part A: How many minutes are there between 11:18 PM and 4:14 AM? Workthrough: 296 Part A: What is 204 minutes after 4:35 AM? Workthrough: 7:59 AM Part A: What is 181 minutes before 12:20 PM? Workthrough: 9:19 AM Part A: How many minutes are there between 4:05 AM and 8:08 AM? Workthrough: 243 Part A: What is 402 minutes before 7:31 AM? Workthrough: 12:49 AM Part A: What is 553 minutes before 8:16 AM? Workthrough: 11:03 PM Part A: What is 144 minutes after 7:17 PM? Workthrough: 9:41 PM Part A: How many minutes are there between 8:39 PM and 3:51 AM? Workthrough: 432 Part A: What is 136 minutes after 12:30 PM? Workthrough: 2:46 PM Part A: How many minutes are there between 1:02 AM and 3:40 AM? Workthrough: 158 Part A: How many minutes are there between 12:19 PM and 7:07 PM? Workthrough: 408 Part A: How many minutes are there between 5:50 AM and 10:41 AM? Workthrough: 291 Part A: How many minutes are there between 6:01 AM and 10:38 AM? Workthrough: 277 Part A: How many minutes are there between 2:44 AM and 2:26 PM? Workthrough: 702 Part A: What is 126 minutes before 5:54 PM? Workthrough: 3:48 PM Part A: How many minutes are there between 9:54 AM and 8:55 PM? Workthrough: 661 Part A: How many minutes are there between 10:58 AM and 2:54 PM? Workthrough: 236 Part A: How many minutes are there between 7:11 AM and 11:17 AM? Workthrough: 246 Part A: How many minutes are there between 11:00 AM and 1:10 PM? Workthrough: 130 Part A: How many minutes are there between 10:57 AM and 6:49 PM? Workthrough: 472 Part A: What is 41 minutes before 7:57 AM? Workthrough:
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numbers: place value -------------------- Q: What is the hundreds digit of 50693? Sol: 6 Q: What is the millions digit of 14479704? Sol: 4 Q: What is the hundreds digit of 4989? Sol: 9 Q: What is the hundred thousands digit of 1202711? Sol: 2 Q: What is the hundreds digit of 47283160? Sol: 1 Q: What is the ten millions digit of 468867660? Sol: 6 Q: What is the millions digit of 4845535? Sol: 4 Q: What is the thousands digit of 28456? Sol: 8 Q: What is the units digit of 5145709676? Sol: 6 Q: What is the tens digit of 41211? Sol: 1 Q: What is the units digit of 688275? Sol: 5 Q: What is the thousands digit of 255626322? Sol: 6 Q: What is the ten thousands digit of 5920483486? Sol: 8 Q: What is the hundreds digit of 2625? Sol: 6 Q: What is the ten thousands digit of 74076083? Sol: 7 Q: What is the hundred thousands digit of 654679377? Sol: 6 Q: What is the thousands digit of 2909429? Sol: 9 Q: What is the units digit of 876378164? Sol: 4 Q: What is the ten millions digit of 649013633? Sol: 4 Q: What is the tens digit of 3579? Sol: 7 Q: What is the hundreds digit of 21447? Sol: 4 Q: What is the hundred thousands digit of 253598251? Sol: 5 Q: What is the units digit of 631? Sol: 1 Q: What is the ten thousands digit of 19610006? Sol: 1 Q: What is the hundreds digit of 276606? Sol: 6 Q: What is the ten thousands digit of 1337107? Sol: 3 Q: What is the tens digit of 632595? Sol: 9 Q: What is the thousands digit of 493023826? Sol: 3 Q: What is the hundred millions digit of 322147027? Sol: 3 Q: What is the thousands digit of 176027503? Sol: 7 Q: What is the tens digit of 10316? Sol: 1 Q: What is the thousands digit of 1014075? Sol: 4 Q: What is the ten thousands digit of 1764821? Sol: 6 Q: What is the units digit of 3080? Sol: 0 Q: What is the units digit of 314242402? Sol: 2 Q: What is the hundreds digit of 395830? Sol: 8 Q: What is the thousands digit of 1276? Sol: 1 Q: What is the units digit of 11696? Sol: 6 Q: What is the thousands digit of 10519973? Sol: 9 Q: What is t
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numbers: place value -------------------- Problem #: What is the units digit of 13903149? Eval: 9 Problem #: What is the tens digit of 219002? Eval: 0 Problem #: What is the hundreds digit of 29876745? Eval: 7 Problem #: What is the ten thousands digit of 1725590018? Eval: 9 Problem #: What is the ten thousands digit of 2774074616? Eval: 7 Problem #: What is the thousands digit of 119424549? Eval: 4 Problem #: What is the millions digit of 10449998? Eval: 0 Problem #: What is the millions digit of 6229560? Eval: 6 Problem #: What is the hundreds digit of 2944? Eval: 9 Problem #: What is the hundreds digit of 5077795379? Eval: 3 Problem #: What is the tens digit of 614866554? Eval: 5 Problem #: What is the tens digit of 233457730? Eval: 3 Problem #: What is the ten thousands digit of 805937678? Eval: 3 Problem #: What is the hundreds digit of 2617? Eval: 6 Problem #: What is the thousands digit of 99204295? Eval: 4 Problem #: What is the ten thousands digit of 48581913? Eval: 8 Problem #: What is the ten millions digit of 647693759? Eval: 4 Problem #: What is the units digit of 16605? Eval: 5 Problem #: What is the units digit of 26907? Eval: 7 Problem #: What is the units digit of 2577866328? Eval: 8 Problem #: What is the units digit of 239206507? Eval: 7 Problem #: What is the ten thousands digit of 10204619? Eval: 0 Problem #: What is the millions digit of 31527055? Eval: 1 Problem #: What is the ten millions digit of 98082521? Eval: 9 Problem #: What is the hundred thousands digit of 223541089? Eval: 5 Problem #: What is the tens digit of 873319? Eval: 1 Problem #: What is the hundreds digit of 64661948? Eval: 9 Problem #: What is the tens digit of 980? Eval: 8 Problem #: What is the millions digit of 345079793? Eval: 5 Problem #: What is the tens digit of 73650236? Eval: 3 Problem #: What is the hundreds digit of 11220976? Eval: 9 Problem #: What is the hundreds digit of 454244390? Eval: 3 Problem #: What is the tens digit of 281581060? Eval: 6 Problem #: What
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numbers: div remainder ---------------------- Inquiry: Calculate the remainder when 45340018 is divided by 17. Soln: 15 Inquiry: Calculate the remainder when 294 is divided by 8. Soln: 6 Inquiry: Calculate the remainder when 9987 is divided by 2926. Soln: 1209 Inquiry: Calculate the remainder when 25519798 is divided by 106. Soln: 86 Inquiry: Calculate the remainder when 817269 is divided by 628. Soln: 241 Inquiry: Calculate the remainder when 1324208 is divided by 11. Soln: 6 Inquiry: What is the remainder when 287859 is divided by 34? Soln: 15 Inquiry: Calculate the remainder when 17337 is divided by 4267. Soln: 269 Inquiry: What is the remainder when 313 is divided by 89? Soln: 46 Inquiry: What is the remainder when 19427083 is divided by 6142? Soln: 6079 Inquiry: What is the remainder when 1142 is divided by 22? Soln: 20 Inquiry: What is the remainder when 15940395 is divided by 122? Soln: 119 Inquiry: What is the remainder when 5614 is divided by 70? Soln: 14 Inquiry: What is the remainder when 7588740 is divided by 1256? Soln: 1244 Inquiry: Calculate the remainder when 3779 is divided by 9. Soln: 8 Inquiry: Calculate the remainder when 4955970 is divided by 994. Soln: 880 Inquiry: Calculate the remainder when 467184 is divided by 116181. Soln: 2460 Inquiry: What is the remainder when 1004 is divided by 220? Soln: 124 Inquiry: Calculate the remainder when 4004280 is divided by 444918. Soln: 18 Inquiry: Calculate the remainder when 2864 is divided by 46. Soln: 12 Inquiry: Calculate the remainder when 764710 is divided by 1912. Soln: 1822 Inquiry: Calculate the remainder when 127660 is divided by 63824. Soln: 12 Inquiry: What is the remainder when 8209 is divided by 283? Soln: 2 Inquiry: Calculate the remainder when 28 is divided by 16. Soln: 12 Inquiry: What is the remainder when 706 is divided by 19? Soln: 3 Inquiry: What is the remainder when 916 is divided by 20? Soln: 16 Inquiry: Calculate the remainder when 6797 is divided by 61. Soln: 26 Inquiry: Calculate
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numbers: is prime ----------------- Example: Is 732013105943 composite? Derivation: True Example: Is 18701531 prime? Derivation: True Example: Is 1269731101 a composite number? Derivation: False Example: Is 954518899 prime? Derivation: True Example: Is 750672941 a prime number? Derivation: False Example: Is 43163 prime? Derivation: False Example: Is 99095 a composite number? Derivation: True Example: Is 8564232271 composite? Derivation: True Example: Is 124736911 a composite number? Derivation: True Example: Is 29243 a composite number? Derivation: False Example: Is 6946865701 prime? Derivation: True Example: Is 22303 a prime number? Derivation: True Example: Is 788599087 prime? Derivation: True Example: Is 514907 composite? Derivation: True Example: Is 100907 prime? Derivation: True Example: Is 1011473405 a prime number? Derivation: False Example: Is 809291 composite? Derivation: True Example: Is 223999 composite? Derivation: False Example: Is 379081 a composite number? Derivation: False Example: Is 3240059506 a composite number? Derivation: True Example: Is 3726476359 a prime number? Derivation: False Example: Is 309359 a prime number? Derivation: True Example: Is 41039393 a prime number? Derivation: True Example: Is 238689613 a prime number? Derivation: True Example: Is 25649 prime? Derivation: False Example: Is 1339404869 composite? Derivation: True Example: Is 5956980509 a prime number? Derivation: False Example: Is 56152907 prime? Derivation: True Example: Is 35153543 a prime number? Derivation: True Example: Is 252616817 a composite number? Derivation: False Example: Is 2707940681 prime? Derivation: True Example: Is 12667 a prime number? Derivation: False Example: Is 12187600823 a composite number? Derivation: False Example: Is 2775161 prime? Derivation: True Example: Is 702193 prime? Derivation: True Example: Is 1379387 prime? Derivation: True Example: Is 213047 prime? Derivation: False Example: Is 163312099 a prime number? Derivation: True Example: Is 51253
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measurement: conversion ----------------------- Q: How many micrometers are there in twenty-seven halves of a millimeter? Therefore: 13500 Q: What is 64.67711 milligrams in tonnes? Therefore: 0.00000006467711 Q: How many millilitres are there in 11/2 of a litre? Therefore: 5500 Q: How many millilitres are there in 3/8 of a litre? Therefore: 375 Q: What is 7991.648 centuries in decades? Therefore: 79916.48 Q: Convert 29928.7 minutes to nanoseconds. Therefore: 1795722000000000 Q: Convert 3.455067ml to litres. Therefore: 0.003455067 Q: How many months are there in seven quarters of a decade? Therefore: 210 Q: What is twenty-seven quarters of a litre in millilitres? Therefore: 6750 Q: How many grams are there in 11/8 of a kilogram? Therefore: 1375 Q: What is 1/20 of a decade in months? Therefore: 6 Q: How many months are there in 16967.24 centuries? Therefore: 20360688 Q: What is eighteen fifths of a litre in millilitres? Therefore: 3600 Q: How many micrometers are there in 6/5 of a centimeter? Therefore: 12000 Q: What is twenty-seven fifths of a millennium in centuries? Therefore: 54 Q: What is 19407.96 minutes in nanoseconds? Therefore: 1164477600000000 Q: Convert 60.38837 nanograms to micrograms. Therefore: 0.06038837 Q: How many minutes are there in 1/60 of a day? Therefore: 24 Q: How many millilitres are there in 935.8672l? Therefore: 935867.2 Q: How many hours are there in twenty-one quarters of a day? Therefore: 126 Q: What is 75.21266 millilitres in litres? Therefore: 0.07521266 Q: How many micrograms are there in 2472.288g? Therefore: 2472288000 Q: How many kilograms are there in 17/4 of a tonne? Therefore: 4250 Q: What is one quarter of a year in months? Therefore: 3 Q: What is 987905.5 millilitres in litres? Therefore: 987.9055 Q: What is 8618.671 days in milliseconds? Therefore: 744653174400 Q: How many days are there in 81928.746 nanoseconds? Therefore: 0.000000000948249375 Q: How many milliseconds are there in 1/10 of a second? Therefore: 100 Q: What is 0.
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probability: swr p sequence --------------------------- Ask: What is prob of sequence sfs when three letters picked without replacement from {f: 1, m: 2, g: 3, s: 6}? Resolution: 1/44 Ask: Calculate prob of sequence smk when three letters picked without replacement from smsk. Resolution: 1/12 Ask: Four letters picked without replacement from {x: 7, c: 4, i: 1, h: 5, s: 1, n: 2}. Give prob of sequence cnnx. Resolution: 7/14535 Ask: What is prob of sequence tmx when three letters picked without replacement from xlmxsxxsstm? Resolution: 4/495 Ask: Three letters picked without replacement from {u: 2, o: 2, q: 1, n: 1, h: 6, z: 3}. What is prob of sequence nuu? Resolution: 1/1365 Ask: Four letters picked without replacement from ooooo. Give prob of sequence oooo. Resolution: 1 Ask: What is prob of sequence ff when two letters picked without replacement from rrfftrrffrtffftrf? Resolution: 7/34 Ask: Calculate prob of sequence yt when two letters picked without replacement from {t: 2, z: 1, y: 1}. Resolution: 1/6 Ask: Calculate prob of sequence gg when two letters picked without replacement from {g: 4, y: 2}. Resolution: 2/5 Ask: Calculate prob of sequence yyo when three letters picked without replacement from yyyoo. Resolution: 1/5 Ask: Two letters picked without replacement from {d: 5, s: 8}. Give prob of sequence ds. Resolution: 10/39 Ask: What is prob of sequence rn when two letters picked without replacement from nrbbrbnnb? Resolution: 1/12 Ask: Four letters picked without replacement from uuuzuzuzzu. Give prob of sequence zzzu. Resolution: 1/35 Ask: Calculate prob of sequence klrq when four letters picked without replacement from qlkqklrkqqrlkrkrkk. Resolution: 7/1530 Ask: Two letters picked without replacement from {t: 3, q: 5, n: 6, u: 1, r: 2}. What is prob of sequence rq? Resolution: 5/136 Ask: What is prob of sequence yi when two letters picked without replacement from {e: 2, f: 1, j: 2, i: 2, y: 1, s: 1}? Resolution: 1/36 Ask: Three letters picked without replac
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numbers: place value -------------------- Prompt: What is the thousands digit of 301128965? Gives: 8 Prompt: What is the thousands digit of 19337003? Gives: 7 Prompt: What is the hundred thousands digit of 495420? Gives: 4 Prompt: What is the thousands digit of 7777? Gives: 7 Prompt: What is the thousands digit of 422729866? Gives: 9 Prompt: What is the thousands digit of 50996? Gives: 0 Prompt: What is the thousands digit of 4945082? Gives: 5 Prompt: What is the hundreds digit of 1020? Gives: 0 Prompt: What is the hundreds digit of 18224? Gives: 2 Prompt: What is the units digit of 3456? Gives: 6 Prompt: What is the hundred millions digit of 3574637965? Gives: 5 Prompt: What is the thousands digit of 5880503? Gives: 0 Prompt: What is the ten thousands digit of 3358856? Gives: 5 Prompt: What is the ten thousands digit of 117392? Gives: 1 Prompt: What is the thousands digit of 2772? Gives: 2 Prompt: What is the units digit of 5767? Gives: 7 Prompt: What is the tens digit of 1376827688? Gives: 8 Prompt: What is the hundreds digit of 197615? Gives: 6 Prompt: What is the ten thousands digit of 49945? Gives: 4 Prompt: What is the ten thousands digit of 56046? Gives: 5 Prompt: What is the hundreds digit of 20576? Gives: 5 Prompt: What is the hundred thousands digit of 19280578? Gives: 2 Prompt: What is the hundreds digit of 2057061795? Gives: 7 Prompt: What is the ten millions digit of 85872117? Gives: 8 Prompt: What is the units digit of 3464? Gives: 4 Prompt: What is the units digit of 1828? Gives: 8 Prompt: What is the thousands digit of 267484? Gives: 7 Prompt: What is the hundred thousands digit of 56404535? Gives: 4 Prompt: What is the hundred thousands digit of 543010? Gives: 5 Prompt: What is the tens digit of 120282822? Gives: 2 Prompt: What is the hundred thousands digit of 3070667448? Gives: 6 Prompt: What is the tens digit of 2981? Gives: 8 Prompt: What is the hundred thousands digit of 1347458? Gives: 3 Prompt: What is the hundred thousands digit of 191104? G
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numbers: place value -------------------- Q=: What is the hundreds digit of 11176910? Compute: 9 Q=: What is the hundreds digit of 973? Compute: 9 Q=: What is the ten thousands digit of 265251? Compute: 6 Q=: What is the ten thousands digit of 210194? Compute: 1 Q=: What is the hundred millions digit of 387621931? Compute: 3 Q=: What is the ten thousands digit of 161064519? Compute: 6 Q=: What is the units digit of 972? Compute: 2 Q=: What is the units digit of 11958? Compute: 8 Q=: What is the hundreds digit of 447? Compute: 4 Q=: What is the units digit of 25737068? Compute: 8 Q=: What is the units digit of 18128663? Compute: 3 Q=: What is the millions digit of 103354971? Compute: 3 Q=: What is the tens digit of 16342? Compute: 4 Q=: What is the hundred thousands digit of 1476522720? Compute: 5 Q=: What is the millions digit of 2198701? Compute: 2 Q=: What is the millions digit of 217476786? Compute: 7 Q=: What is the ten millions digit of 4588474399? Compute: 8 Q=: What is the ten thousands digit of 25546? Compute: 2 Q=: What is the ten thousands digit of 6339818? Compute: 3 Q=: What is the hundreds digit of 1867? Compute: 8 Q=: What is the hundreds digit of 1206? Compute: 2 Q=: What is the ten thousands digit of 13198? Compute: 1 Q=: What is the hundreds digit of 9080? Compute: 0 Q=: What is the ten thousands digit of 1805188? Compute: 0 Q=: What is the hundreds digit of 6892? Compute: 8 Q=: What is the hundreds digit of 2055983089? Compute: 0 Q=: What is the units digit of 22773? Compute: 3 Q=: What is the ten thousands digit of 12284? Compute: 1 Q=: What is the tens digit of 8564? Compute: 6 Q=: What is the hundreds digit of 124? Compute: 1 Q=: What is the millions digit of 1408209? Compute: 1 Q=: What is the thousands digit of 2837? Compute: 2 Q=: What is the ten thousands digit of 4324484? Compute: 2 Q=: What is the billions digit of 2872849543? Compute: 2 Q=: What is the tens digit of 692046? Compute: 4 Q=: What is the units digit of 1011? Compute: 1 Q=: Wh
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numbers: is prime ----------------- Input: Is 16802238559 a prime number? Ans: True Input: Is 869 prime? Ans: False Input: Is 18511727 prime? Ans: False Input: Is 77458 prime? Ans: False Input: Is 129080751599 a composite number? Ans: False Input: Is 3558913697 composite? Ans: True Input: Is 36829 prime? Ans: False Input: Is 291582287 a composite number? Ans: False Input: Is 585619457 composite? Ans: False Input: Is 77777807059 a composite number? Ans: False Input: Is 2410252337 prime? Ans: True Input: Is 1038031 a composite number? Ans: True Input: Is 4857781 a composite number? Ans: False Input: Is 60488269 prime? Ans: False Input: Is 8726 composite? Ans: True Input: Is 1448310959 prime? Ans: False Input: Is 51923 composite? Ans: True Input: Is 11051 prime? Ans: False Input: Is 27994 a composite number? Ans: True Input: Is 23423 a composite number? Ans: True Input: Is 388459 a prime number? Ans: True Input: Is 1326173 a composite number? Ans: True Input: Is 1495940153 a composite number? Ans: True Input: Is 75121259 a composite number? Ans: False Input: Is 234781 composite? Ans: False Input: Is 106103 a prime number? Ans: True Input: Is 296663 composite? Ans: False Input: Is 177499453 a composite number? Ans: False Input: Is 8805136817 prime? Ans: True Input: Is 1041099 a composite number? Ans: True Input: Is 23559 a prime number? Ans: False Input: Is 168221 a prime number? Ans: False Input: Is 3246822974 a composite number? Ans: True Input: Is 1536661 a composite number? Ans: True Input: Is 27989 prime? Ans: False Input: Is 592589 composite? Ans: False Input: Is 16463 a prime number? Ans: False Input: Is 5834 composite? Ans: True Input: Is 98837 prime? Ans: True Input: Is 664564423 a prime number? Ans: True Input: Is 143092506723 prime? Ans: False Input: Is 3583078823 a composite number? Ans: False Input: Is 178085407 composite? Ans: False Input: Is 212777 a composite number? Ans: False Input: Is 213383 prime? Ans: True Input: Is 45797732039 a prime number? Ans:
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numbers: place value -------------------- Puzzle: What is the tens digit of 33994? Response: 9 Puzzle: What is the tens digit of 79280? Response: 8 Puzzle: What is the hundreds digit of 1378053? Response: 0 Puzzle: What is the hundred millions digit of 1900618823? Response: 9 Puzzle: What is the units digit of 4516? Response: 6 Puzzle: What is the tens digit of 897? Response: 9 Puzzle: What is the ten thousands digit of 23647? Response: 2 Puzzle: What is the hundreds digit of 255? Response: 2 Puzzle: What is the tens digit of 5919790? Response: 9 Puzzle: What is the hundreds digit of 5658? Response: 6 Puzzle: What is the hundreds digit of 566005? Response: 0 Puzzle: What is the tens digit of 281939215? Response: 1 Puzzle: What is the tens digit of 10840585? Response: 8 Puzzle: What is the hundreds digit of 236496437? Response: 4 Puzzle: What is the ten millions digit of 652418235? Response: 5 Puzzle: What is the thousands digit of 54289890? Response: 9 Puzzle: What is the ten thousands digit of 40964? Response: 4 Puzzle: What is the millions digit of 4425198846? Response: 5 Puzzle: What is the hundreds digit of 9824982? Response: 9 Puzzle: What is the millions digit of 872202651? Response: 2 Puzzle: What is the hundreds digit of 23285? Response: 2 Puzzle: What is the ten thousands digit of 14975? Response: 1 Puzzle: What is the hundred thousands digit of 323490402? Response: 4 Puzzle: What is the hundred millions digit of 726033421? Response: 7 Puzzle: What is the hundred millions digit of 311685373? Response: 3 Puzzle: What is the thousands digit of 2216886398? Response: 6 Puzzle: What is the millions digit of 12104519? Response: 2 Puzzle: What is the units digit of 791? Response: 1 Puzzle: What is the hundreds digit of 447948239? Response: 2 Puzzle: What is the thousands digit of 12062? Response: 2 Puzzle: What is the ten thousands digit of 1471768? Response: 7 Puzzle: What is the millions digit of 8959538774? Response: 9 Puzzle: What is the tens digit of 22148? R
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numbers: place value -------------------- Scenario: What is the billions digit of 1007205423? Solution: 1 Scenario: What is the hundred millions digit of 128955710? Solution: 1 Scenario: What is the hundreds digit of 39282? Solution: 2 Scenario: What is the thousands digit of 9728874? Solution: 8 Scenario: What is the ten thousands digit of 68313? Solution: 6 Scenario: What is the hundreds digit of 45867643? Solution: 6 Scenario: What is the ten thousands digit of 14901? Solution: 1 Scenario: What is the ten millions digit of 33997183? Solution: 3 Scenario: What is the tens digit of 1361? Solution: 6 Scenario: What is the thousands digit of 3552? Solution: 3 Scenario: What is the tens digit of 1387? Solution: 8 Scenario: What is the thousands digit of 14846? Solution: 4 Scenario: What is the ten thousands digit of 16799017? Solution: 9 Scenario: What is the hundreds digit of 12551236? Solution: 2 Scenario: What is the ten thousands digit of 40978613? Solution: 7 Scenario: What is the ten thousands digit of 10429? Solution: 1 Scenario: What is the tens digit of 50890651? Solution: 5 Scenario: What is the hundreds digit of 3994? Solution: 9 Scenario: What is the ten millions digit of 429944160? Solution: 2 Scenario: What is the tens digit of 38477? Solution: 7 Scenario: What is the units digit of 677? Solution: 7 Scenario: What is the units digit of 5202? Solution: 2 Scenario: What is the units digit of 334962080? Solution: 0 Scenario: What is the units digit of 18041? Solution: 1 Scenario: What is the hundreds digit of 6561531? Solution: 5 Scenario: What is the millions digit of 3586688174? Solution: 6 Scenario: What is the hundreds digit of 38390? Solution: 3 Scenario: What is the tens digit of 39887? Solution: 8 Scenario: What is the tens digit of 3782? Solution: 8 Scenario: What is the hundreds digit of 54781? Solution: 7 Scenario: What is the units digit of 2490? Solution: 0 Scenario: What is the units digit of 14625? Solution: 5 Scenario: What is the ten million
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numbers: is prime ----------------- Subquestion: Is 319678 a prime number? Derivation: False Subquestion: Is 32827 prime? Derivation: False Subquestion: Is 69470207 a composite number? Derivation: True Subquestion: Is 126764557 a composite number? Derivation: False Subquestion: Is 593018429 a prime number? Derivation: False Subquestion: Is 951829 a prime number? Derivation: True Subquestion: Is 1733 prime? Derivation: True Subquestion: Is 134295701 prime? Derivation: True Subquestion: Is 2250977 prime? Derivation: True Subquestion: Is 27957 a composite number? Derivation: True Subquestion: Is 358153 composite? Derivation: False Subquestion: Is 6044723 a composite number? Derivation: True Subquestion: Is 385789457 a prime number? Derivation: False Subquestion: Is 429959 a composite number? Derivation: True Subquestion: Is 7642504327 composite? Derivation: True Subquestion: Is 101050619 a prime number? Derivation: True Subquestion: Is 277553 prime? Derivation: False Subquestion: Is 12770551 prime? Derivation: True Subquestion: Is 6600449339 prime? Derivation: False Subquestion: Is 10808323 a prime number? Derivation: True Subquestion: Is 523193777 composite? Derivation: False Subquestion: Is 313251 prime? Derivation: False Subquestion: Is 1667371829 prime? Derivation: True Subquestion: Is 1055 composite? Derivation: True Subquestion: Is 11545574353 a prime number? Derivation: False Subquestion: Is 235621 a composite number? Derivation: False Subquestion: Is 160278451301 a composite number? Derivation: True Subquestion: Is 58141453 a prime number? Derivation: True Subquestion: Is 191651 composite? Derivation: True Subquestion: Is 11684986 a composite number? Derivation: True Subquestion: Is 6811398589 composite? Derivation: False Subquestion: Is 3980062337 a prime number? Derivation: False Subquestion: Is 1721843 composite? Derivation: True Subquestion: Is 35674 a prime number? Derivation: False Subquestion: Is 391501 a prime number? Derivation: False Subquestion: Is 2
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measurement: time ----------------- Scenario: How many minutes are there between 1:44 AM and 8:23 AM? Conclusion: 399 Scenario: How many minutes are there between 11:35 PM and 2:25 AM? Conclusion: 170 Scenario: What is 374 minutes before 12:53 PM? Conclusion: 6:39 AM Scenario: How many minutes are there between 9:10 PM and 8:05 AM? Conclusion: 655 Scenario: How many minutes are there between 3:10 AM and 4:10 AM? Conclusion: 60 Scenario: What is 589 minutes before 2:17 PM? Conclusion: 4:28 AM Scenario: How many minutes are there between 10:45 AM and 9:05 PM? Conclusion: 620 Scenario: How many minutes are there between 9:40 AM and 7:49 PM? Conclusion: 609 Scenario: What is 391 minutes after 10:12 AM? Conclusion: 4:43 PM Scenario: How many minutes are there between 5:32 PM and 6:26 PM? Conclusion: 54 Scenario: How many minutes are there between 9:03 PM and 4:42 AM? Conclusion: 459 Scenario: What is 394 minutes before 6:36 PM? Conclusion: 12:02 PM Scenario: What is 420 minutes before 6:58 AM? Conclusion: 11:58 PM Scenario: How many minutes are there between 11:16 PM and 1:16 AM? Conclusion: 120 Scenario: What is 130 minutes before 12:05 PM? Conclusion: 9:55 AM Scenario: How many minutes are there between 6:12 AM and 1:51 PM? Conclusion: 459 Scenario: How many minutes are there between 8:04 PM and 9:35 PM? Conclusion: 91 Scenario: How many minutes are there between 7:06 PM and 2:16 AM? Conclusion: 430 Scenario: How many minutes are there between 4:11 AM and 10:18 AM? Conclusion: 367 Scenario: How many minutes are there between 6:12 PM and 1:16 AM? Conclusion: 424 Scenario: What is 318 minutes before 8:32 AM? Conclusion: 3:14 AM Scenario: What is 136 minutes after 11:29 PM? Conclusion: 1:45 AM Scenario: How many minutes are there between 6:51 AM and 9:03 AM? Conclusion: 132 Scenario: How many minutes are there between 2:48 PM and 1:12 AM? Conclusion: 624 Scenario: How many minutes are there between 3:32 AM and 3:51 AM? Conclusion: 19 Scenario: How many minutes are there b
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numbers: is prime ----------------- Scenario: Is 468039157 a composite number? Clarification: False Scenario: Is 62273 a prime number? Clarification: True Scenario: Is 139169 prime? Clarification: True Scenario: Is 7859 composite? Clarification: True Scenario: Is 88411 a prime number? Clarification: True Scenario: Is 336142 prime? Clarification: False Scenario: Is 181217593 a prime number? Clarification: True Scenario: Is 198851987 a prime number? Clarification: True Scenario: Is 2102881201 composite? Clarification: True Scenario: Is 4647829157 composite? Clarification: False Scenario: Is 2756472223 prime? Clarification: True Scenario: Is 388501 a composite number? Clarification: True Scenario: Is 61013343 composite? Clarification: True Scenario: Is 44477464511 a composite number? Clarification: False Scenario: Is 182284847 prime? Clarification: False Scenario: Is 12810137 a prime number? Clarification: False Scenario: Is 411890653 composite? Clarification: False Scenario: Is 10741 a prime number? Clarification: False Scenario: Is 1206277 a prime number? Clarification: True Scenario: Is 91685609 a prime number? Clarification: False Scenario: Is 6401 prime? Clarification: False Scenario: Is 15919 composite? Clarification: False Scenario: Is 134419 a prime number? Clarification: False Scenario: Is 56237278 composite? Clarification: True Scenario: Is 14235361867 a composite number? Clarification: True Scenario: Is 267940931 composite? Clarification: False Scenario: Is 1297169 prime? Clarification: True Scenario: Is 63055 prime? Clarification: False Scenario: Is 41401 prime? Clarification: False Scenario: Is 109203229 a prime number? Clarification: True Scenario: Is 6469 composite? Clarification: False Scenario: Is 131501 a prime number? Clarification: True Scenario: Is 743342762 prime? Clarification: False Scenario: Is 1419667727 composite? Clarification: False Scenario: Is 2338873349 a prime number? Clarification: False Scenario: Is 2675160395 composite? Clarification
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numbers: div remainder ---------------------- Task: What is the remainder when 4033629 is divided by 24? Derivation: 21 Task: Calculate the remainder when 386391 is divided by 1337. Derivation: 1335 Task: What is the remainder when 71 is divided by 21? Derivation: 8 Task: Calculate the remainder when 192507 is divided by 3526. Derivation: 2103 Task: Calculate the remainder when 20458 is divided by 165. Derivation: 163 Task: What is the remainder when 83 is divided by 29? Derivation: 25 Task: Calculate the remainder when 110686 is divided by 56. Derivation: 30 Task: Calculate the remainder when 118882 is divided by 295. Derivation: 292 Task: Calculate the remainder when 685 is divided by 86. Derivation: 83 Task: What is the remainder when 17728 is divided by 335? Derivation: 308 Task: Calculate the remainder when 3625796 is divided by 26. Derivation: 18 Task: Calculate the remainder when 3475 is divided by 697. Derivation: 687 Task: What is the remainder when 249358 is divided by 249245? Derivation: 113 Task: Calculate the remainder when 4597 is divided by 371. Derivation: 145 Task: What is the remainder when 14128822 is divided by 5183? Derivation: 5147 Task: Calculate the remainder when 6123929 is divided by 458. Derivation: 11 Task: Calculate the remainder when 4242 is divided by 334. Derivation: 234 Task: What is the remainder when 5990 is divided by 13? Derivation: 10 Task: What is the remainder when 80988 is divided by 298? Derivation: 230 Task: Calculate the remainder when 24324253 is divided by 998. Derivation: 997 Task: What is the remainder when 21185 is divided by 11? Derivation: 10 Task: Calculate the remainder when 54050 is divided by 1257. Derivation: 1256 Task: Calculate the remainder when 2046 is divided by 27. Derivation: 21 Task: What is the remainder when 9193 is divided by 18? Derivation: 13 Task: Calculate the remainder when 618196 is divided by 440. Derivation: 436 Task: Calculate the remainder when 538213 is divided by 221. Derivation: 78 Task:
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measurement: conversion ----------------------- Item: What is thirty-two fifths of a milligram in micrograms? Therefore: 6400 Item: Convert 826.656um to centimeters. Therefore: 0.0826656 Item: How many millimeters are there in one quarter of a meter? Therefore: 250 Item: What is 898.0506ms in seconds? Therefore: 0.8980506 Item: What is 125.4127t in micrograms? Therefore: 125412700000000 Item: What is 29/3 of a century in months? Therefore: 11600 Item: How many kilometers are there in 0.5748569 meters? Therefore: 0.0005748569 Item: How many minutes are there in thirty-one sixths of a week? Therefore: 52080 Item: What is seven halves of a second in milliseconds? Therefore: 3500 Item: What is four sevenths of a week in hours? Therefore: 96 Item: How many millilitres are there in 32/5 of a litre? Therefore: 6400 Item: How many millilitres are there in one tenth of a litre? Therefore: 100 Item: How many kilograms are there in sixty-seven fifths of a tonne? Therefore: 13400 Item: How many nanograms are there in 1086.77kg? Therefore: 1086770000000000 Item: What is 2638.34mg in tonnes? Therefore: 0.00000263834 Item: What is 248.136939us in days? Therefore: 0.0000000028719553125 Item: Convert 11.9923608 hours to weeks. Therefore: 0.0713831 Item: What is 1/10 of a litre in millilitres? Therefore: 100 Item: How many millilitres are there in 55/4 of a litre? Therefore: 13750 Item: Convert 10.36013ng to milligrams. Therefore: 0.00001036013 Item: Convert 486220.6g to milligrams. Therefore: 486220600 Item: What is twenty-nine halves of a litre in millilitres? Therefore: 14500 Item: How many millilitres are there in fifty-seven halves of a litre? Therefore: 28500 Item: How many millilitres are there in twenty-one eighths of a litre? Therefore: 2625 Item: What is nine tenths of a century in decades? Therefore: 9 Item: What is 7910.895 nanometers in meters? Therefore: 0.000007910895 Item: What is 20906.98 millilitres in litres? Therefore: 20.90698 Item: What is 3/40 of a kilometer in
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numbers: place value -------------------- Let: What is the hundreds digit of 2321? Soln: 3 Let: What is the hundreds digit of 4201133? Soln: 1 Let: What is the millions digit of 459818691? Soln: 9 Let: What is the ten thousands digit of 432868659? Soln: 6 Let: What is the thousands digit of 2458? Soln: 2 Let: What is the thousands digit of 2549030? Soln: 9 Let: What is the billions digit of 1709853922? Soln: 1 Let: What is the ten thousands digit of 32447? Soln: 3 Let: What is the ten thousands digit of 8078453? Soln: 7 Let: What is the thousands digit of 130760? Soln: 0 Let: What is the tens digit of 924? Soln: 2 Let: What is the units digit of 45985648? Soln: 8 Let: What is the units digit of 6053? Soln: 3 Let: What is the thousands digit of 481731135? Soln: 1 Let: What is the ten millions digit of 17778401? Soln: 1 Let: What is the hundreds digit of 298005? Soln: 0 Let: What is the tens digit of 70709? Soln: 0 Let: What is the units digit of 4417? Soln: 7 Let: What is the hundred thousands digit of 108652? Soln: 1 Let: What is the tens digit of 89482178? Soln: 7 Let: What is the tens digit of 6627158? Soln: 5 Let: What is the hundred thousands digit of 37645146? Soln: 6 Let: What is the hundred thousands digit of 286707753? Soln: 7 Let: What is the tens digit of 2526? Soln: 2 Let: What is the tens digit of 806158? Soln: 5 Let: What is the hundreds digit of 2891? Soln: 8 Let: What is the units digit of 52387? Soln: 7 Let: What is the ten thousands digit of 10143949? Soln: 4 Let: What is the tens digit of 1383782? Soln: 8 Let: What is the units digit of 8258? Soln: 8 Let: What is the hundred thousands digit of 140416029? Soln: 4 Let: What is the ten millions digit of 686560682? Soln: 8 Let: What is the ten thousands digit of 19828730? Soln: 2 Let: What is the hundred thousands digit of 969227409? Soln: 2 Let: What is the hundred millions digit of 115193514? Soln: 1 Let: What is the hundred thousands digit of 5474295? Soln: 4 Let: What is the hundreds digit of 32449
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numbers: is prime ----------------- Given: Is 108135641 composite? Solution: True Given: Is 43065137 prime? Solution: False Given: Is 1961677 a composite number? Solution: True Given: Is 4082280691 a composite number? Solution: False Given: Is 1004327459 a composite number? Solution: False Given: Is 381649145 a prime number? Solution: False Given: Is 1484271199 prime? Solution: True Given: Is 2303471 a composite number? Solution: False Given: Is 244121 a composite number? Solution: False Given: Is 56939681 prime? Solution: False Given: Is 263978699 a prime number? Solution: True Given: Is 230431 composite? Solution: False Given: Is 1141829 a composite number? Solution: True Given: Is 4714 a prime number? Solution: False Given: Is 12841 a composite number? Solution: False Given: Is 789639187 a prime number? Solution: True Given: Is 1817 a prime number? Solution: False Given: Is 2767 a composite number? Solution: False Given: Is 77003 a composite number? Solution: False Given: Is 148425341 composite? Solution: False Given: Is 16301 a prime number? Solution: True Given: Is 54037 prime? Solution: True Given: Is 1478534419 prime? Solution: False Given: Is 557870363 prime? Solution: False Given: Is 50613 a composite number? Solution: True Given: Is 5573563 composite? Solution: False Given: Is 9602 prime? Solution: False Given: Is 437186863 prime? Solution: False Given: Is 21991 a composite number? Solution: False Given: Is 72634189 a composite number? Solution: True Given: Is 1290670099 composite? Solution: False Given: Is 15224353 a composite number? Solution: True Given: Is 37949 a prime number? Solution: False Given: Is 25477943 a composite number? Solution: False Given: Is 3408235483 a prime number? Solution: True Given: Is 396911 a composite number? Solution: True Given: Is 7249 a prime number? Solution: False Given: Is 178673458129 prime? Solution: False Given: Is 924555367 a prime number? Solution: False Given: Is 59262147683 a composite number? Solution: True Give
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comparison: pair ---------------- Let us solve: Is -31407071 >= -31407069? Clarification: False Let us solve: Are 896823.64 and -0.3 nonequal? Clarification: True Let us solve: Which is smaller: 1537 or -309? Clarification: -309 Let us solve: Is -2/797 bigger than -4969? Clarification: True Let us solve: Which is greater: -1082 or -1108? Clarification: -1082 Let us solve: Which is smaller: 22943037 or 0.2? Clarification: 0.2 Let us solve: Which is smaller: 1692 or 1? Clarification: 1 Let us solve: Are -5/7 and -1845924 unequal? Clarification: True Let us solve: Which is smaller: -4.9 or 62483? Clarification: -4.9 Let us solve: Which is smaller: -1/3 or -36/9365? Clarification: -1/3 Let us solve: Which is smaller: -1 or 2/12276431? Clarification: -1 Let us solve: Are -764 and 258634 non-equal? Clarification: True Let us solve: Is -39/10 < -4? Clarification: False Let us solve: Which is greater: -8143 or -8144? Clarification: -8143 Let us solve: Which is bigger: -6 or -2829? Clarification: -6 Let us solve: Is 1 < 251/209704? Clarification: False Let us solve: Which is bigger: -2179 or 260? Clarification: 260 Let us solve: Is 323 at least 257? Clarification: True Let us solve: Is 19 > -546738? Clarification: True Let us solve: Do 0 and 62/81413 have the same value? Clarification: False Let us solve: Which is smaller: 24132/28111 or 2/7? Clarification: 2/7 Let us solve: Is 8744754 equal to 8744754? Clarification: True Let us solve: Which is smaller: 35/431 or 1? Clarification: 35/431 Let us solve: Which is smaller: 55616 or -2.956? Clarification: -2.956 Let us solve: Is 431 greater than or equal to 3026/7? Clarification: False Let us solve: Is 7756/62135 bigger than -1? Clarification: True Let us solve: Is -58 greater than or equal to 895? Clarification: False Let us solve: Which is greater: 5640756 or 4/3? Clarification: 5640756 Let us solve: Is 0.03976558 greater than or equal to -61? Clarification: True Let us solve: Is 8357344 greater than 8357346? Clarification: Fa
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numbers: is factor ------------------ Input: Is 11 a factor of 1687503? Outcome: False Input: Is 701397 a multiple of 118? Outcome: False Input: Does 5 divide 945? Outcome: True Input: Is 4778 a multiple of 5? Outcome: False Input: Is 13358814 a multiple of 322? Outcome: True Input: Is 6 a factor of 123026? Outcome: False Input: Does 18 divide 1483740? Outcome: True Input: Does 1393 divide 2650323614? Outcome: False Input: Does 1041 divide 84975009? Outcome: False Input: Is 140 a multiple of 4? Outcome: True Input: Does 124 divide 8015? Outcome: False Input: Does 161 divide 190026121? Outcome: False Input: Is 115112 a multiple of 15? Outcome: False Input: Does 8 divide 31880888? Outcome: True Input: Is 4606084 a multiple of 7? Outcome: True Input: Does 78 divide 23173112? Outcome: False Input: Is 550 a multiple of 11? Outcome: True Input: Does 76 divide 550439? Outcome: False Input: Does 31 divide 518? Outcome: False Input: Is 25 a factor of 432? Outcome: False Input: Is 202924 a multiple of 388? Outcome: True Input: Is 2 a factor of 2944281? Outcome: False Input: Is 5 a factor of 3653734? Outcome: False Input: Is 10 a factor of 70188? Outcome: False Input: Is 118 a factor of 3403? Outcome: False Input: Is 25 a factor of 200? Outcome: True Input: Is 609 a factor of 174576549? Outcome: True Input: Is 180086960 a multiple of 56? Outcome: False Input: Is 4 a factor of 56? Outcome: True Input: Is 221 a factor of 619021? Outcome: True Input: Is 165 a multiple of 2? Outcome: False Input: Is 968 a factor of 42549408? Outcome: True Input: Is 72 a factor of 59436216? Outcome: True Input: Is 1290 a multiple of 10? Outcome: True Input: Does 517 divide 605924? Outcome: True Input: Does 15 divide 102617760? Outcome: True Input: Does 19 divide 13895631? Outcome: True Input: Does 157 divide 3297? Outcome: True Input: Does 3215 divide 1329146956? Outcome: False Input: Is 6 a factor of 169604? Outcome: False Input: Does 5 divide 12325384? Outcome: False Input: Is 82 a multiple of 7?
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probability: swr p level set ---------------------------- Part A: Two letters picked without replacement from oosyoooosyysyso. Give prob of picking 2 o. Hence: 1/5 Part A: Three letters picked without replacement from {p: 3, x: 6, g: 3, a: 2, z: 4}. Give prob of picking 3 x. Hence: 5/204 Part A: Three letters picked without replacement from jjjjjjj. Give prob of picking 3 j. Hence: 1 Part A: What is prob of picking 3 x when three letters picked without replacement from xxmiimmxym? Hence: 1/120 Part A: Two letters picked without replacement from vue. Give prob of picking 1 u and 1 v. Hence: 1/3 Part A: Two letters picked without replacement from vvsspsfbs. Give prob of picking 1 s and 1 p. Hence: 1/9 Part A: Two letters picked without replacement from {e: 4, k: 2, d: 3}. Give prob of picking 2 k. Hence: 1/36 Part A: Four letters picked without replacement from {q: 2, i: 8, u: 3, p: 1, j: 5, n: 1}. What is prob of picking 1 q, 1 i, and 2 j? Hence: 32/969 Part A: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from ccrwwczcvccwzvcqcwr. Hence: 2/171 Part A: Three letters picked without replacement from {g: 4, j: 1, l: 8}. Give prob of picking 1 l and 2 g. Hence: 24/143 Part A: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from lqslqsqrqlqqlrh. Hence: 8/105 Part A: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {l: 6, p: 1, h: 11, f: 1, n: 1}. Hence: 3/95 Part A: What is prob of picking 3 o when three letters picked without replacement from oololo? Hence: 1/5 Part A: Calculate prob of picking 1 t, 2 y, and 1 b when four letters picked without replacement from {b: 1, m: 6, t: 5, y: 6}. Hence: 5/204 Part A: What is prob of picking 1 r, 1 k, 1 v, and 1 w when four letters picked without replacement from {e: 1, w: 1, r: 1, k: 1, v: 4, h: 4}? Hence: 4/495 Part A: Four letters picked without replacement from yueeyeeuuyeu. What is prob of picking 2 e and 2 y? Hence: 2/3
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probability: swr p level set ---------------------------- Challenge: What is prob of picking 1 h, 1 a, and 1 r when three letters picked without replacement from ruahdauf? Sol: 1/28 Challenge: Calculate prob of picking 2 t and 1 p when three letters picked without replacement from {u: 5, t: 3, p: 2}. Sol: 1/20 Challenge: Two letters picked without replacement from {c: 4, x: 2, p: 7}. What is prob of picking 2 c? Sol: 1/13 Challenge: Four letters picked without replacement from iisisessffffss. What is prob of picking 1 f, 2 s, and 1 e? Sol: 60/1001 Challenge: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {g: 2, p: 4, b: 1, l: 1}. Sol: 1/7 Challenge: Three letters picked without replacement from {s: 6, b: 13}. What is prob of picking 3 s? Sol: 20/969 Challenge: Calculate prob of picking 1 d and 2 t when three letters picked without replacement from dttdt. Sol: 3/5 Challenge: Four letters picked without replacement from vvlllvllvllvvvlvlvv. What is prob of picking 4 l? Sol: 21/646 Challenge: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {r: 6, e: 4, x: 2, c: 6}. Sol: 8/153 Challenge: Two letters picked without replacement from {r: 4, f: 1, j: 4, o: 4, y: 1, q: 4}. Give prob of picking 1 o and 1 r. Sol: 16/153 Challenge: What is prob of picking 1 u and 1 s when two letters picked without replacement from {s: 7, u: 6}? Sol: 7/13 Challenge: Calculate prob of picking 1 k and 2 s when three letters picked without replacement from {s: 3, i: 2, f: 3, k: 8}. Sol: 3/70 Challenge: Calculate prob of picking 3 c when three letters picked without replacement from cccllccccccccccclccl. Sol: 28/57 Challenge: What is prob of picking 1 a and 1 z when two letters picked without replacement from {a: 2, z: 3, r: 7, k: 1, w: 1}? Sol: 6/91 Challenge: Two letters picked without replacement from {p: 5, t: 2, x: 3, n: 2}. Give prob of picking 1 n and 1 x. Sol: 1/11 Challenge: Three letters picked without replacem
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numbers: gcd ------------ What if: What is the greatest common divisor of 282305 and 31032? Thus: 431 What if: Calculate the greatest common factor of 5513070 and 7239. Thus: 381 What if: What is the greatest common factor of 54 and 776052? Thus: 18 What if: What is the highest common divisor of 9122224 and 56? Thus: 8 What if: What is the highest common divisor of 10486 and 4018? Thus: 98 What if: What is the greatest common divisor of 49733404 and 20? Thus: 4 What if: What is the highest common factor of 2555 and 146? Thus: 73 What if: Calculate the greatest common divisor of 54 and 702. Thus: 54 What if: What is the greatest common factor of 32330 and 530? Thus: 530 What if: Calculate the highest common factor of 30 and 30. Thus: 30 What if: What is the greatest common factor of 17060 and 101900? Thus: 20 What if: What is the highest common divisor of 84365 and 2872? Thus: 359 What if: Calculate the highest common factor of 109214 and 145. Thus: 29 What if: Calculate the highest common factor of 7322704 and 16. Thus: 16 What if: Calculate the highest common factor of 6136992 and 432. Thus: 432 What if: Calculate the greatest common divisor of 5779400 and 296. Thus: 296 What if: What is the greatest common divisor of 228576385 and 2865? Thus: 955 What if: What is the greatest common divisor of 19440 and 15? Thus: 15 What if: What is the highest common divisor of 334653 and 132? Thus: 33 What if: Calculate the greatest common factor of 149 and 292. Thus: 1 What if: Calculate the highest common divisor of 19 and 38. Thus: 19 What if: Calculate the highest common divisor of 38319 and 1113. Thus: 159 What if: Calculate the greatest common divisor of 34281 and 7683. Thus: 39 What if: What is the greatest common divisor of 2439654 and 2436? Thus: 1218 What if: What is the greatest common divisor of 751543 and 143? Thus: 13 What if: What is the greatest common factor of 11104654 and 1210? Thus: 242 What if: Calculate the highest common divisor of 814 and 224018905. Thus:
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numbers: is factor ------------------ Let us solve: Does 15 divide 35139? Response: False Let us solve: Is 61 a factor of 4636? Response: True Let us solve: Is 897141 a multiple of 39? Response: False Let us solve: Does 9 divide 16820? Response: False Let us solve: Is 16 a factor of 25185? Response: False Let us solve: Is 6936858 a multiple of 174? Response: True Let us solve: Does 35 divide 20575275? Response: True Let us solve: Is 2031149 a multiple of 414? Response: False Let us solve: Is 16 a factor of 145968? Response: True Let us solve: Is 122 a factor of 21414538? Response: True Let us solve: Is 15 a factor of 151812? Response: False Let us solve: Is 53 a factor of 25016? Response: True Let us solve: Does 39 divide 86812128? Response: True Let us solve: Is 137 a factor of 4658? Response: True Let us solve: Does 5 divide 491752356? Response: False Let us solve: Does 18 divide 298336? Response: False Let us solve: Is 943720 a multiple of 608? Response: False Let us solve: Is 145 a factor of 97585? Response: True Let us solve: Is 7 a factor of 15176? Response: True Let us solve: Is 170118 a multiple of 18? Response: True Let us solve: Does 55 divide 286? Response: False Let us solve: Does 13 divide 75710071? Response: False Let us solve: Does 24 divide 12051? Response: False Let us solve: Does 6221 divide 863555673? Response: True Let us solve: Is 15 a factor of 34785? Response: True Let us solve: Is 604 a multiple of 4? Response: True Let us solve: Is 3 a factor of 22817? Response: False Let us solve: Is 2076 a factor of 15813918? Response: False Let us solve: Does 12 divide 3316578252? Response: True Let us solve: Does 41 divide 19639? Response: True Let us solve: Is 17793426 a multiple of 7? Response: True Let us solve: Is 13 a factor of 6708? Response: True Let us solve: Is 539834625 a multiple of 925? Response: True Let us solve: Does 10 divide 5730? Response: True Let us solve: Does 32 divide 111424? Response: True Let us solve: Is 27 a factor of 331428? R
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numbers: gcd ------------ Situation: Calculate the greatest common factor of 66 and 2112594. →: 66 Situation: Calculate the greatest common divisor of 1739554670 and 5810. →: 5810 Situation: What is the greatest common factor of 121733 and 203683? →: 149 Situation: What is the highest common divisor of 20 and 740? →: 20 Situation: Calculate the greatest common factor of 6526194 and 489. →: 489 Situation: Calculate the highest common divisor of 232 and 80861272. →: 8 Situation: Calculate the highest common factor of 5725996 and 4376. →: 2188 Situation: What is the highest common divisor of 138419 and 3395? →: 97 Situation: What is the greatest common divisor of 18 and 19726515? →: 9 Situation: What is the highest common factor of 96 and 87231? →: 3 Situation: Calculate the greatest common factor of 469 and 201. →: 67 Situation: What is the highest common divisor of 450 and 1491550? →: 50 Situation: What is the greatest common divisor of 2401 and 287973? →: 49 Situation: What is the highest common factor of 67451 and 2294? →: 37 Situation: Calculate the greatest common factor of 6876 and 48. →: 12 Situation: Calculate the highest common factor of 3679 and 62439. →: 13 Situation: Calculate the greatest common divisor of 474618291 and 707. →: 707 Situation: Calculate the highest common divisor of 630168 and 34286. →: 434 Situation: What is the highest common divisor of 390925 and 855? →: 95 Situation: Calculate the highest common factor of 22 and 13156. →: 22 Situation: What is the highest common divisor of 37632 and 231084? →: 588 Situation: Calculate the highest common factor of 451 and 1210033. →: 451 Situation: What is the greatest common factor of 123 and 18573? →: 123 Situation: Calculate the greatest common divisor of 2332 and 4048. →: 44 Situation: What is the greatest common divisor of 221 and 2756? →: 13 Situation: What is the greatest common factor of 24040 and 423080? →: 40 Situation: What is the greatest common divisor of 1025349 and 465049? →: 5603 Situati
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numbers: gcd ------------ Exercise: What is the highest common divisor of 19542537 and 3598? Sol: 1799 Exercise: Calculate the greatest common factor of 28 and 2758. Sol: 14 Exercise: What is the greatest common divisor of 324 and 20? Sol: 4 Exercise: Calculate the greatest common factor of 55880 and 377736. Sol: 8 Exercise: What is the highest common divisor of 21 and 12? Sol: 3 Exercise: What is the greatest common divisor of 14166 and 18? Sol: 18 Exercise: What is the greatest common factor of 1293148 and 100? Sol: 4 Exercise: What is the highest common factor of 585 and 1521? Sol: 117 Exercise: What is the highest common divisor of 120 and 186? Sol: 6 Exercise: Calculate the highest common factor of 48 and 52. Sol: 4 Exercise: What is the greatest common divisor of 1 and 146291? Sol: 1 Exercise: Calculate the highest common factor of 1421 and 5106001. Sol: 29 Exercise: What is the greatest common factor of 31 and 310? Sol: 31 Exercise: What is the greatest common divisor of 64698 and 984? Sol: 246 Exercise: What is the highest common divisor of 5580 and 36? Sol: 36 Exercise: Calculate the greatest common divisor of 715 and 905850. Sol: 55 Exercise: What is the highest common divisor of 332 and 59428? Sol: 332 Exercise: What is the greatest common divisor of 2139 and 1209? Sol: 93 Exercise: What is the highest common divisor of 38 and 76? Sol: 38 Exercise: Calculate the highest common factor of 13216645 and 143. Sol: 13 Exercise: Calculate the highest common divisor of 83202 and 383964. Sol: 294 Exercise: What is the greatest common divisor of 66480180 and 85956? Sol: 4524 Exercise: Calculate the highest common factor of 34 and 102. Sol: 34 Exercise: What is the highest common divisor of 323935 and 356643? Sol: 629 Exercise: What is the highest common factor of 215490948 and 12? Sol: 12 Exercise: What is the greatest common factor of 2571590 and 160? Sol: 10 Exercise: What is the greatest common factor of 27645 and 9603? Sol: 291 Exercise: What is the highest com
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measurement: conversion ----------------------- Exercise: How many nanograms are there in one quarter of a microgram? Conclusion: 250 Exercise: Convert 4699834.2ns to hours. Conclusion: 0.0000013055095 Exercise: How many grams are there in thirteen quarters of a kilogram? Conclusion: 3250 Exercise: What is twenty-seven halves of a day in minutes? Conclusion: 19440 Exercise: What is 0.4478177 centuries in decades? Conclusion: 4.478177 Exercise: What is 6.030948 hours in microseconds? Conclusion: 21711412800 Exercise: How many hours are there in 6061.2435 nanoseconds? Conclusion: 0.00000000168367875 Exercise: How many minutes are there in 5/8 of a day? Conclusion: 900 Exercise: How many millilitres are there in 5/8 of a litre? Conclusion: 625 Exercise: What is eleven eighths of a microgram in nanograms? Conclusion: 1375 Exercise: How many kilograms are there in 654.5745 nanograms? Conclusion: 0.0000000006545745 Exercise: Convert 0.4403696 years to decades. Conclusion: 0.04403696 Exercise: How many litres are there in 829501.3ml? Conclusion: 829.5013 Exercise: Convert 0.1503912 micrograms to kilograms. Conclusion: 0.0000000001503912 Exercise: How many micrometers are there in 3/16 of a centimeter? Conclusion: 1875 Exercise: Convert 0.120107 micrograms to nanograms. Conclusion: 120.107 Exercise: What is 3/50 of a gram in micrograms? Conclusion: 60000 Exercise: Convert 89.72009 kilometers to nanometers. Conclusion: 89720090000000 Exercise: Convert 13412.09 weeks to hours. Conclusion: 2253231.12 Exercise: Convert 7.568533 micrograms to milligrams. Conclusion: 0.007568533 Exercise: What is seventeen tenths of a kilogram in grams? Conclusion: 1700 Exercise: Convert 179.5803 milligrams to nanograms. Conclusion: 179580300 Exercise: Convert 3144.284 nanograms to milligrams. Conclusion: 0.003144284 Exercise: How many milligrams are there in fourty-six fifths of a gram? Conclusion: 9200 Exercise: How many millilitres are there in 6/25 of a litre? Conclusion: 240 Exercise: How ma
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numbers: div remainder ---------------------- Part A: Calculate the remainder when 33 is divided by 3. Key: 0 Part A: Calculate the remainder when 8476663 is divided by 1495. Key: 13 Part A: What is the remainder when 3137204 is divided by 5533? Key: 5526 Part A: Calculate the remainder when 3046 is divided by 79. Key: 44 Part A: What is the remainder when 13869812 is divided by 763? Key: 761 Part A: Calculate the remainder when 706276 is divided by 215. Key: 1 Part A: What is the remainder when 147593 is divided by 47024? Key: 6521 Part A: Calculate the remainder when 822 is divided by 75. Key: 72 Part A: What is the remainder when 480 is divided by 23? Key: 20 Part A: What is the remainder when 136 is divided by 128? Key: 8 Part A: What is the remainder when 45873 is divided by 408? Key: 177 Part A: What is the remainder when 2267 is divided by 47? Key: 11 Part A: What is the remainder when 9012 is divided by 2993? Key: 33 Part A: Calculate the remainder when 14735 is divided by 99. Key: 83 Part A: What is the remainder when 2709837 is divided by 2709834? Key: 3 Part A: Calculate the remainder when 827 is divided by 790. Key: 37 Part A: Calculate the remainder when 487098 is divided by 7. Key: 3 Part A: Calculate the remainder when 136176705 is divided by 68088347. Key: 11 Part A: Calculate the remainder when 24073 is divided by 309. Key: 280 Part A: Calculate the remainder when 1691875366 is divided by 228. Key: 226 Part A: What is the remainder when 4193318 is divided by 51? Key: 47 Part A: Calculate the remainder when 27118513 is divided by 683. Key: 681 Part A: What is the remainder when 194 is divided by 32? Key: 2 Part A: What is the remainder when 7320 is divided by 333? Key: 327 Part A: Calculate the remainder when 249368 is divided by 35592. Key: 224 Part A: What is the remainder when 5894591 is divided by 64? Key: 63 Part A: Calculate the remainder when 140 is divided by 111. Key: 29 Part A: What is the remainder when 135424798 is divided by 224? Key: 22
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numbers: is prime ----------------- Problem Statement: Is 16112677541 prime? Answer: False Problem Statement: Is 89034795287 composite? Answer: False Problem Statement: Is 16260019199 composite? Answer: False Problem Statement: Is 557654117 a composite number? Answer: False Problem Statement: Is 91933907189 prime? Answer: True Problem Statement: Is 1867553 composite? Answer: False Problem Statement: Is 196123534 composite? Answer: True Problem Statement: Is 14636369897 prime? Answer: True Problem Statement: Is 3863 prime? Answer: True Problem Statement: Is 14536597183 a composite number? Answer: False Problem Statement: Is 661663 a composite number? Answer: False Problem Statement: Is 241084813 a prime number? Answer: False Problem Statement: Is 642547 a prime number? Answer: True Problem Statement: Is 12492760405 a composite number? Answer: True Problem Statement: Is 88652087 composite? Answer: True Problem Statement: Is 751021 composite? Answer: False Problem Statement: Is 25509610961 a composite number? Answer: True Problem Statement: Is 374531 composite? Answer: False Problem Statement: Is 35079457 composite? Answer: True Problem Statement: Is 514853 a prime number? Answer: True Problem Statement: Is 16704980197 prime? Answer: True Problem Statement: Is 30314567 a prime number? Answer: False Problem Statement: Is 118 prime? Answer: False Problem Statement: Is 162900547 composite? Answer: True Problem Statement: Is 102205 composite? Answer: True Problem Statement: Is 11883041 a prime number? Answer: True Problem Statement: Is 453021 composite? Answer: True Problem Statement: Is 844811479 a composite number? Answer: False Problem Statement: Is 35613797 prime? Answer: True Problem Statement: Is 3898 composite? Answer: True Problem Statement: Is 171233 a prime number? Answer: True Problem Statement: Is 321007 composite? Answer: False Problem Statement: Is 1069 prime? Answer: True Problem Statement: Is 451119 a composite number? Answer: True Problem Statement: Is 331
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numbers: gcd ------------ Input: Calculate the greatest common divisor of 70 and 48295. Answer: 5 Input: What is the highest common divisor of 4768 and 96? Answer: 32 Input: Calculate the highest common factor of 976 and 1457168. Answer: 976 Input: Calculate the highest common divisor of 696 and 144. Answer: 24 Input: Calculate the greatest common factor of 638443 and 1466. Answer: 733 Input: Calculate the greatest common divisor of 44 and 84652. Answer: 4 Input: What is the greatest common factor of 85 and 119? Answer: 17 Input: Calculate the greatest common factor of 34425 and 2975. Answer: 425 Input: Calculate the greatest common divisor of 1548 and 8. Answer: 4 Input: What is the greatest common factor of 1832476 and 4? Answer: 4 Input: What is the greatest common divisor of 2125 and 125? Answer: 125 Input: Calculate the highest common divisor of 109350 and 6850. Answer: 50 Input: Calculate the highest common divisor of 7792 and 29296. Answer: 16 Input: What is the highest common divisor of 443810 and 730? Answer: 10 Input: What is the highest common divisor of 7 and 41027? Answer: 7 Input: What is the highest common factor of 8 and 500? Answer: 4 Input: What is the greatest common divisor of 83732 and 692? Answer: 692 Input: What is the greatest common divisor of 40 and 344? Answer: 8 Input: What is the highest common factor of 35 and 277782085? Answer: 35 Input: What is the greatest common factor of 377 and 91147? Answer: 29 Input: What is the greatest common divisor of 3792 and 13104? Answer: 48 Input: What is the highest common divisor of 114 and 101916? Answer: 114 Input: Calculate the highest common factor of 24672240 and 144. Answer: 144 Input: Calculate the greatest common factor of 98417 and 1167. Answer: 389 Input: What is the highest common divisor of 25773 and 82401? Answer: 363 Input: Calculate the greatest common factor of 2319596 and 6992. Answer: 1748 Input: What is the greatest common factor of 5778 and 123814194? Answer: 642 Input: Calculate th
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measurement: time ----------------- Problem: How many minutes are there between 3:08 AM and 3:27 AM? Sol: 19 Problem: How many minutes are there between 2:37 AM and 7:14 AM? Sol: 277 Problem: How many minutes are there between 1:18 PM and 1:54 PM? Sol: 36 Problem: What is 715 minutes after 6:41 PM? Sol: 6:36 AM Problem: How many minutes are there between 6:57 AM and 5:40 PM? Sol: 643 Problem: How many minutes are there between 9:57 AM and 7:16 PM? Sol: 559 Problem: How many minutes are there between 9:29 AM and 6:35 PM? Sol: 546 Problem: How many minutes are there between 7:56 AM and 12:16 PM? Sol: 260 Problem: What is 646 minutes after 10:26 PM? Sol: 9:12 AM Problem: What is 376 minutes after 2:59 AM? Sol: 9:15 AM Problem: What is 612 minutes after 11:59 PM? Sol: 10:11 AM Problem: What is 6 minutes before 7:29 PM? Sol: 7:23 PM Problem: What is 672 minutes before 1:37 AM? Sol: 2:25 PM Problem: How many minutes are there between 8:32 PM and 7:47 AM? Sol: 675 Problem: What is 310 minutes after 5:26 AM? Sol: 10:36 AM Problem: What is 2 minutes before 7:00 AM? Sol: 6:58 AM Problem: What is 585 minutes after 9:55 AM? Sol: 7:40 PM Problem: How many minutes are there between 10:02 PM and 8:43 AM? Sol: 641 Problem: How many minutes are there between 10:25 AM and 1:11 PM? Sol: 166 Problem: What is 237 minutes before 2:45 AM? Sol: 10:48 PM Problem: What is 687 minutes before 11:13 PM? Sol: 11:46 AM Problem: How many minutes are there between 12:44 AM and 10:03 AM? Sol: 559 Problem: What is 96 minutes after 3:20 AM? Sol: 4:56 AM Problem: How many minutes are there between 2:57 AM and 9:25 AM? Sol: 388 Problem: How many minutes are there between 1:27 PM and 3:42 PM? Sol: 135 Problem: How many minutes are there between 5:34 AM and 4:38 PM? Sol: 664 Problem: What is 153 minutes after 9:58 AM? Sol: 12:31 PM Problem: What is 123 minutes after 2:29 PM? Sol: 4:32 PM Problem: What is 702 minutes after 9:17 PM? Sol: 8:59 AM Problem: What is 688 minutes after 2:04 PM? Sol: 1:32 AM Probl
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numbers: is factor ------------------ Request: Is 16280 a multiple of 19? Compute: False Request: Does 110 divide 2281? Compute: False Request: Does 357 divide 39311003? Compute: False Request: Is 113183 a multiple of 437? Compute: True Request: Does 317 divide 3747965495? Compute: True Request: Is 31985 a multiple of 26? Compute: False Request: Does 158 divide 54255519? Compute: False Request: Is 727 a factor of 10172911? Compute: True Request: Does 5 divide 5540? Compute: True Request: Is 18 a factor of 8352? Compute: True Request: Is 1222 a factor of 7158320806? Compute: True Request: Is 3247 a multiple of 17? Compute: True Request: Is 503 a factor of 149377419? Compute: True Request: Is 108 a multiple of 41? Compute: False Request: Does 7 divide 3190229? Compute: True Request: Is 5710 a multiple of 79? Compute: False Request: Does 328 divide 1791514? Compute: False Request: Does 9 divide 136164501? Compute: True Request: Does 26 divide 1649? Compute: False Request: Is 14200 a multiple of 200? Compute: True Request: Does 23 divide 212497? Compute: True Request: Does 103 divide 187783345? Compute: False Request: Is 8 a factor of 4224? Compute: True Request: Is 103 a factor of 15450? Compute: True Request: Does 11 divide 119858? Compute: False Request: Is 6080552 a multiple of 1304? Compute: True Request: Does 138 divide 34235998? Compute: False Request: Does 9 divide 657? Compute: True Request: Does 420 divide 229476660? Compute: True Request: Does 2 divide 290468? Compute: True Request: Is 105 a factor of 4482? Compute: False Request: Does 53 divide 7311? Compute: False Request: Is 258 a factor of 295316? Compute: False Request: Does 56 divide 14224? Compute: True Request: Does 1061 divide 63906840? Compute: False Request: Does 2 divide 71726? Compute: True Request: Does 35 divide 4496? Compute: False Request: Is 51 a factor of 6448? Compute: False Request: Is 29 a factor of 905032? Compute: True Request: Is 8 a factor of 32? Compute: True Request: Does 14 divide
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numbers: is prime ----------------- Input: Is 6113561 a prime number? Solution: False Input: Is 11368457 prime? Solution: True Input: Is 10119764801 a prime number? Solution: True Input: Is 32099 a composite number? Solution: False Input: Is 2380953269 prime? Solution: True Input: Is 818623367 composite? Solution: False Input: Is 81337 a composite number? Solution: True Input: Is 206669539 a composite number? Solution: True Input: Is 97348761115 a prime number? Solution: False Input: Is 386621 a prime number? Solution: True Input: Is 134167 composite? Solution: True Input: Is 11502195277 a prime number? Solution: True Input: Is 1396985 a prime number? Solution: False Input: Is 12614341 a prime number? Solution: False Input: Is 3207 prime? Solution: False Input: Is 42734381 a composite number? Solution: False Input: Is 6746581 prime? Solution: True Input: Is 42410929 a composite number? Solution: True Input: Is 33509 a prime number? Solution: False Input: Is 115751 a composite number? Solution: False Input: Is 76799893 prime? Solution: False Input: Is 7057217897 a prime number? Solution: False Input: Is 91083752987 a prime number? Solution: False Input: Is 498851 a prime number? Solution: False Input: Is 424463748371 prime? Solution: False Input: Is 4595 a composite number? Solution: True Input: Is 21032699 a prime number? Solution: True Input: Is 2791967223 prime? Solution: False Input: Is 1514399 composite? Solution: False Input: Is 683 composite? Solution: False Input: Is 324696331 a composite number? Solution: True Input: Is 6117983 composite? Solution: False Input: Is 31357 a prime number? Solution: True Input: Is 80436913 a composite number? Solution: True Input: Is 53491 a composite number? Solution: True Input: Is 7827107901 composite? Solution: True Input: Is 85597 composite? Solution: False Input: Is 100271173793 a prime number? Solution: False Input: Is 3599821 composite? Solution: False Input: Is 576715 composite? Solution: True Input: Is 10937 prime? Sol
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numbers: is factor ------------------ Problem: Does 4101 divide 2387424699? Therefore: False Problem: Is 164 a factor of 656? Therefore: True Problem: Does 65 divide 1950? Therefore: True Problem: Is 208 a factor of 40560? Therefore: True Problem: Does 62 divide 91733402? Therefore: True Problem: Is 136460698 a multiple of 19? Therefore: True Problem: Is 20 a factor of 143254? Therefore: False Problem: Does 43 divide 124502? Therefore: False Problem: Is 2073 a multiple of 18? Therefore: False Problem: Is 14 a factor of 786172? Therefore: False Problem: Is 24460 a multiple of 4? Therefore: True Problem: Does 54 divide 37268? Therefore: False Problem: Is 2804212 a multiple of 28? Therefore: False Problem: Does 12 divide 958833? Therefore: False Problem: Is 13086546 a multiple of 2244? Therefore: False Problem: Does 588 divide 167484? Therefore: False Problem: Is 32 a factor of 1777728? Therefore: True Problem: Does 235 divide 68870745? Therefore: True Problem: Is 78 even? Therefore: True Problem: Is 243304111 a multiple of 700? Therefore: False Problem: Is 12 a factor of 499440? Therefore: True Problem: Does 186 divide 49310? Therefore: False Problem: Is 134 a factor of 14161572? Therefore: False Problem: Does 10 divide 7443? Therefore: False Problem: Does 2318 divide 3526352538? Therefore: True Problem: Is 1982 a factor of 13495438? Therefore: True Problem: Is 3788122 a multiple of 53? Therefore: True Problem: Does 678 divide 1977774138? Therefore: True Problem: Is 29667 a multiple of 87? Therefore: True Problem: Does 7 divide 749? Therefore: True Problem: Does 65 divide 59741499? Therefore: False Problem: Does 23 divide 28214330? Therefore: True Problem: Does 199 divide 300786? Therefore: False Problem: Does 83 divide 2988? Therefore: True Problem: Is 14730 a multiple of 23? Therefore: False Problem: Is 6828000 a multiple of 96? Therefore: True Problem: Is 67321432 a multiple of 172? Therefore: False Problem: Does 6 divide 83? Therefore: False Problem: Is 88077946 a
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numbers: div remainder ---------------------- Example: What is the remainder when 1780 is divided by 13? Conclusion: 12 Example: What is the remainder when 594125 is divided by 1148? Conclusion: 609 Example: What is the remainder when 22193 is divided by 62? Conclusion: 59 Example: Calculate the remainder when 24568419 is divided by 6355. Conclusion: 6344 Example: Calculate the remainder when 497 is divided by 135. Conclusion: 92 Example: What is the remainder when 228 is divided by 3? Conclusion: 0 Example: What is the remainder when 153 is divided by 7? Conclusion: 6 Example: What is the remainder when 2490 is divided by 53? Conclusion: 52 Example: Calculate the remainder when 8211 is divided by 456. Conclusion: 3 Example: Calculate the remainder when 103035 is divided by 11. Conclusion: 9 Example: What is the remainder when 8765 is divided by 4140? Conclusion: 485 Example: What is the remainder when 5541587 is divided by 83960? Conclusion: 227 Example: Calculate the remainder when 329 is divided by 6. Conclusion: 5 Example: What is the remainder when 261 is divided by 228? Conclusion: 33 Example: What is the remainder when 1972738 is divided by 110? Conclusion: 108 Example: What is the remainder when 10059 is divided by 628? Conclusion: 11 Example: Calculate the remainder when 23573 is divided by 7649. Conclusion: 626 Example: What is the remainder when 9177 is divided by 62? Conclusion: 1 Example: What is the remainder when 16 is divided by 3? Conclusion: 1 Example: What is the remainder when 156535 is divided by 2295? Conclusion: 475 Example: Calculate the remainder when 902133 is divided by 8. Conclusion: 5 Example: What is the remainder when 109098359 is divided by 8473? Conclusion: 11 Example: Calculate the remainder when 7713 is divided by 862. Conclusion: 817 Example: Calculate the remainder when 1085 is divided by 46. Conclusion: 27 Example: Calculate the remainder when 58 is divided by 6. Conclusion: 4 Example: What is the remainder when 34324 is divided
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probability: swr p sequence --------------------------- Q: What is prob of sequence brw when three letters picked without replacement from {r: 4, b: 10, w: 1, u: 4}? Explanation: 20/2907 Q: Two letters picked without replacement from {u: 12, e: 2, f: 2, n: 1, h: 1}. What is prob of sequence fe? Explanation: 2/153 Q: Three letters picked without replacement from rrrrrrrwrrrrrrr. Give prob of sequence rrw. Explanation: 1/15 Q: Calculate prob of sequence ssqa when four letters picked without replacement from aaqqasqqasa. Explanation: 1/198 Q: Two letters picked without replacement from {o: 2, d: 2, a: 2, k: 2, w: 7}. Give prob of sequence aw. Explanation: 1/15 Q: What is prob of sequence hhpy when four letters picked without replacement from {p: 6, y: 1, h: 11}? Explanation: 11/1224 Q: What is prob of sequence oyey when four letters picked without replacement from yeobybyboobbbbbyh? Explanation: 3/4760 Q: What is prob of sequence qwqw when four letters picked without replacement from qwqw? Explanation: 1/6 Q: Four letters picked without replacement from {e: 1, f: 3, t: 2, z: 1}. What is prob of sequence etzt? Explanation: 1/420 Q: Two letters picked without replacement from {s: 2, j: 4, l: 2, x: 4}. What is prob of sequence xx? Explanation: 1/11 Q: What is prob of sequence bsms when four letters picked without replacement from cktckmbskbsksssbts? Explanation: 1/816 Q: Calculate prob of sequence tzzt when four letters picked without replacement from ttttzzzzzzztz. Explanation: 28/429 Q: What is prob of sequence ttaa when four letters picked without replacement from ztztazza? Explanation: 1/420 Q: Calculate prob of sequence mi when two letters picked without replacement from {i: 3, m: 8}. Explanation: 12/55 Q: Two letters picked without replacement from {p: 2, f: 1, w: 1}. Give prob of sequence fw. Explanation: 1/12 Q: Three letters picked without replacement from {d: 5, x: 1, w: 9, t: 1, z: 2}. What is prob of sequence wtz? Explanation: 1/272 Q: What is prob of sequence
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numbers: gcd ------------ Issue: Calculate the greatest common factor of 13579 and 37. →: 37 Issue: What is the highest common factor of 142 and 1207? →: 71 Issue: Calculate the greatest common divisor of 322 and 13685. →: 161 Issue: Calculate the highest common divisor of 1335 and 398898. →: 267 Issue: What is the greatest common divisor of 85 and 289? →: 17 Issue: What is the highest common divisor of 406 and 8961638? →: 406 Issue: Calculate the highest common factor of 3404 and 42112586. →: 1702 Issue: What is the highest common divisor of 432579 and 63? →: 21 Issue: What is the highest common factor of 357 and 21? →: 21 Issue: What is the greatest common divisor of 2464 and 220? →: 44 Issue: Calculate the highest common factor of 24 and 600. →: 24 Issue: What is the greatest common factor of 435812 and 1326? →: 442 Issue: Calculate the highest common divisor of 252348 and 5100. →: 204 Issue: Calculate the highest common factor of 46243560 and 2376. →: 264 Issue: Calculate the greatest common divisor of 121373 and 574. →: 7 Issue: What is the greatest common divisor of 165 and 34127390? →: 55 Issue: What is the highest common divisor of 158107 and 90761? →: 223 Issue: Calculate the greatest common divisor of 4788 and 336. →: 84 Issue: Calculate the greatest common divisor of 40003 and 2180. →: 109 Issue: Calculate the highest common divisor of 632 and 1343. →: 79 Issue: What is the greatest common divisor of 236 and 64987792? →: 236 Issue: What is the highest common divisor of 363 and 193? →: 1 Issue: What is the greatest common divisor of 46 and 12? →: 2 Issue: What is the highest common factor of 5 and 47? →: 1 Issue: What is the greatest common divisor of 5170 and 423? →: 47 Issue: Calculate the highest common divisor of 1936 and 440. →: 88 Issue: What is the highest common divisor of 8 and 376? →: 8 Issue: What is the highest common factor of 11 and 33? →: 11 Issue: What is the highest common factor of 14400 and 4344480? →: 1440 Issue: What is the highest com
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numbers: is prime ----------------- Qn: Is 4154639 prime? Interpretation: True Qn: Is 6007 composite? Interpretation: False Qn: Is 1403381 a prime number? Interpretation: False Qn: Is 7427 composite? Interpretation: True Qn: Is 1920991 a composite number? Interpretation: False Qn: Is 8977 a prime number? Interpretation: False Qn: Is 3579558721 a composite number? Interpretation: False Qn: Is 46445051 a prime number? Interpretation: False Qn: Is 41117 prime? Interpretation: True Qn: Is 9273661 a prime number? Interpretation: False Qn: Is 12973699 a prime number? Interpretation: True Qn: Is 740423 a prime number? Interpretation: True Qn: Is 118967 a composite number? Interpretation: False Qn: Is 8908403 a prime number? Interpretation: False Qn: Is 4105540567 composite? Interpretation: False Qn: Is 6595 a prime number? Interpretation: False Qn: Is 39061315729 prime? Interpretation: False Qn: Is 36219916685 prime? Interpretation: False Qn: Is 160072513 prime? Interpretation: True Qn: Is 318713 a prime number? Interpretation: True Qn: Is 733 composite? Interpretation: False Qn: Is 39971 composite? Interpretation: False Qn: Is 245437 composite? Interpretation: False Qn: Is 267557 prime? Interpretation: True Qn: Is 3398830001 a composite number? Interpretation: True Qn: Is 3249770431 composite? Interpretation: True Qn: Is 41281 a composite number? Interpretation: False Qn: Is 14827783 prime? Interpretation: True Qn: Is 18689278969 a composite number? Interpretation: False Qn: Is 16868833 a composite number? Interpretation: False Qn: Is 2411 a composite number? Interpretation: False Qn: Is 3371559757 prime? Interpretation: False Qn: Is 1117831393 prime? Interpretation: False Qn: Is 4746213767 composite? Interpretation: False Qn: Is 665902943 a composite number? Interpretation: False Qn: Is 3787 a composite number? Interpretation: True Qn: Is 44983417 prime? Interpretation: True Qn: Is 13710566287 a composite number? Interpretation: True Qn: Is 7044059 composite? Interpretat
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measurement: time ----------------- Case: How many minutes are there between 9:47 PM and 11:09 PM? Response: 82 Case: How many minutes are there between 5:34 AM and 12:37 PM? Response: 423 Case: How many minutes are there between 4:07 PM and 2:19 AM? Response: 612 Case: How many minutes are there between 1:06 PM and 7:31 PM? Response: 385 Case: How many minutes are there between 8:34 AM and 10:50 AM? Response: 136 Case: What is 630 minutes after 11:47 PM? Response: 10:17 AM Case: What is 502 minutes after 12:08 PM? Response: 8:30 PM Case: How many minutes are there between 6:37 AM and 12:31 PM? Response: 354 Case: What is 416 minutes before 4:08 PM? Response: 9:12 AM Case: What is 250 minutes before 6:17 PM? Response: 2:07 PM Case: What is 324 minutes after 6:51 AM? Response: 12:15 PM Case: How many minutes are there between 8:52 AM and 6:44 PM? Response: 592 Case: How many minutes are there between 8:59 AM and 10:30 AM? Response: 91 Case: What is 661 minutes before 10:01 AM? Response: 11:00 PM Case: How many minutes are there between 8:35 AM and 7:21 PM? Response: 646 Case: What is 685 minutes after 6:18 AM? Response: 5:43 PM Case: What is 416 minutes before 4:01 PM? Response: 9:05 AM Case: What is 420 minutes before 10:18 PM? Response: 3:18 PM Case: What is 386 minutes before 3:26 PM? Response: 9:00 AM Case: How many minutes are there between 4:36 PM and 5:01 PM? Response: 25 Case: What is 690 minutes after 2:57 PM? Response: 2:27 AM Case: What is 662 minutes after 3:40 AM? Response: 2:42 PM Case: What is 249 minutes after 5:17 PM? Response: 9:26 PM Case: What is 388 minutes after 3:24 PM? Response: 9:52 PM Case: What is 371 minutes before 6:36 PM? Response: 12:25 PM Case: What is 103 minutes after 9:34 AM? Response: 11:17 AM Case: How many minutes are there between 10:33 PM and 2:59 AM? Response: 266 Case: What is 145 minutes after 6:28 AM? Response: 8:53 AM Case: What is 264 minutes before 1:45 AM? Response: 9:21 PM Case: What is 675 minutes after 9:27 AM? Respo
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arithmetic: nearest integer root -------------------------------- Q: What is 26395275 to the power of 1/10, to the nearest integer? Yields: 6 Q: What is 852790 to the power of 1/2, to the nearest integer? Yields: 923 Q: What is 46215 to the power of 1/4, to the nearest integer? Yields: 15 Q: What is 5162010976 to the power of 1/6, to the nearest integer? Yields: 42 Q: What is 516283 to the power of 1/3, to the nearest integer? Yields: 80 Q: What is 3512699 to the power of 1/7, to the nearest integer? Yields: 9 Q: What is the cube root of 580702887 to the nearest integer? Yields: 834 Q: What is the square root of 397 to the nearest integer? Yields: 20 Q: What is 392484 to the power of 1/5, to the nearest integer? Yields: 13 Q: What is the third root of 542 to the nearest integer? Yields: 8 Q: What is the cube root of 8599367 to the nearest integer? Yields: 205 Q: What is the cube root of 1499 to the nearest integer? Yields: 11 Q: What is the cube root of 873415 to the nearest integer? Yields: 96 Q: What is 9 to the power of 1/5, to the nearest integer? Yields: 2 Q: What is the sixth root of 36994263 to the nearest integer? Yields: 18 Q: What is 231474517 to the power of 1/7, to the nearest integer? Yields: 16 Q: What is 4942 to the power of 1/6, to the nearest integer? Yields: 4 Q: What is 144631 to the power of 1/2, to the nearest integer? Yields: 380 Q: What is the square root of 1362 to the nearest integer? Yields: 37 Q: What is 3130622352 to the power of 1/2, to the nearest integer? Yields: 55952 Q: What is the cube root of 36562843 to the nearest integer? Yields: 332 Q: What is 969 to the power of 1/6, to the nearest integer? Yields: 3 Q: What is the third root of 118414 to the nearest integer? Yields: 49 Q: What is the square root of 111343 to the nearest integer? Yields: 334 Q: What is 224123060 to the power of 1/2, to the nearest integer? Yields: 14971 Q: What is the fourth root of 1746095 to the nearest integer? Yields: 36 Q: What is 3637518833 to the power
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probability: swr p sequence --------------------------- Item: What is prob of sequence wvv when three letters picked without replacement from wvvt? Soln: 1/12 Item: Calculate prob of sequence vjko when four letters picked without replacement from {j: 1, k: 3, o: 1, v: 7, l: 1}. Soln: 7/5720 Item: Three letters picked without replacement from wmmlmwclcmclmwwl. Give prob of sequence wlw. Soln: 1/70 Item: Four letters picked without replacement from tktktkkttktptktkkkkk. What is prob of sequence kkpk? Soln: 11/1292 Item: Two letters picked without replacement from {j: 7, r: 3, h: 3}. What is prob of sequence hj? Soln: 7/52 Item: Calculate prob of sequence aa when two letters picked without replacement from raarrowadzz. Soln: 3/55 Item: What is prob of sequence zs when two letters picked without replacement from goozsff? Soln: 1/42 Item: Two letters picked without replacement from {m: 2, l: 2, q: 1, f: 4, u: 2, h: 6}. Give prob of sequence hf. Soln: 3/34 Item: Four letters picked without replacement from qzzuzqmmzzmquzqzuu. What is prob of sequence zmmm? Soln: 7/12240 Item: Calculate prob of sequence dbdb when four letters picked without replacement from dbbbdbb. Soln: 1/21 Item: Four letters picked without replacement from exvxvevvexvxv. What is prob of sequence veee? Soln: 3/1430 Item: Four letters picked without replacement from gaayyj. What is prob of sequence gyya? Soln: 1/90 Item: Three letters picked without replacement from itittttitttdttttd. Give prob of sequence ddt. Soln: 1/170 Item: Four letters picked without replacement from {y: 2, x: 1, t: 1, d: 1, f: 2}. Give prob of sequence fftx. Soln: 1/420 Item: Calculate prob of sequence fh when two letters picked without replacement from {v: 3, i: 2, h: 1, f: 6, z: 3}. Soln: 1/35 Item: What is prob of sequence vffh when four letters picked without replacement from vhdzf? Soln: 0 Item: Three letters picked without replacement from {q: 9, g: 4, x: 4, z: 1, f: 1, j: 1}. What is prob of sequence jxx? Soln: 1/570 Item:
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numbers: place value -------------------- Q): What is the thousands digit of 49441890? Answer: 1 Q): What is the tens digit of 31389? Answer: 8 Q): What is the millions digit of 5263318? Answer: 5 Q): What is the hundreds digit of 2275470? Answer: 4 Q): What is the tens digit of 372474937? Answer: 3 Q): What is the hundreds digit of 1976? Answer: 9 Q): What is the thousands digit of 186407258? Answer: 7 Q): What is the hundreds digit of 93609168? Answer: 1 Q): What is the units digit of 639490969? Answer: 9 Q): What is the hundred millions digit of 2525562696? Answer: 5 Q): What is the hundreds digit of 199591630? Answer: 6 Q): What is the ten thousands digit of 161368? Answer: 6 Q): What is the millions digit of 230012019? Answer: 0 Q): What is the ten millions digit of 45399589? Answer: 4 Q): What is the tens digit of 9976? Answer: 7 Q): What is the ten thousands digit of 253204303? Answer: 0 Q): What is the thousands digit of 2258? Answer: 2 Q): What is the hundred thousands digit of 20846818? Answer: 8 Q): What is the units digit of 153570? Answer: 0 Q): What is the tens digit of 474? Answer: 7 Q): What is the billions digit of 1544316862? Answer: 1 Q): What is the hundred thousands digit of 426983? Answer: 4 Q): What is the hundred thousands digit of 26431837? Answer: 4 Q): What is the thousands digit of 541631473? Answer: 1 Q): What is the hundreds digit of 44498? Answer: 4 Q): What is the ten thousands digit of 27526? Answer: 2 Q): What is the hundred thousands digit of 749147? Answer: 7 Q): What is the hundred thousands digit of 14929221? Answer: 9 Q): What is the hundred millions digit of 177300761? Answer: 1 Q): What is the units digit of 3454957726? Answer: 6 Q): What is the hundreds digit of 81800? Answer: 8 Q): What is the tens digit of 617? Answer: 1 Q): What is the ten thousands digit of 2045650? Answer: 4 Q): What is the ten thousands digit of 46044993? Answer: 4 Q): What is the tens digit of 3390? Answer: 9 Q): What is the units digit of 247459768?
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probability: swr p level set ---------------------------- Inquiry: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, g: 2, m: 1, h: 2, v: 1}. Key: 1/28 Inquiry: What is prob of picking 1 l and 2 g when three letters picked without replacement from lgwgwwgwwg? Key: 1/20 Inquiry: Two letters picked without replacement from ddqkqk. Give prob of picking 2 k. Key: 1/15 Inquiry: Calculate prob of picking 3 a when three letters picked without replacement from anaanan. Key: 4/35 Inquiry: What is prob of picking 2 r when two letters picked without replacement from {r: 3}? Key: 1 Inquiry: What is prob of picking 1 q and 2 y when three letters picked without replacement from {y: 8, q: 3}? Key: 28/55 Inquiry: Calculate prob of picking 2 k when two letters picked without replacement from kmkkkmkm. Key: 5/14 Inquiry: Two letters picked without replacement from hykikhyiy. Give prob of picking 2 h. Key: 1/36 Inquiry: What is prob of picking 1 o and 1 j when two letters picked without replacement from {w: 4, q: 1, o: 1, j: 1, h: 1, p: 4}? Key: 1/66 Inquiry: What is prob of picking 1 w and 1 k when two letters picked without replacement from eweewerecrjjerk? Key: 2/105 Inquiry: Three letters picked without replacement from uucucuuycluuceyyy. Give prob of picking 2 y and 1 c. Key: 3/85 Inquiry: Two letters picked without replacement from fccwmfmwcfccwwcwc. Give prob of picking 1 f and 1 c. Key: 21/136 Inquiry: What is prob of picking 1 e and 1 l when two letters picked without replacement from lnlmejk? Key: 2/21 Inquiry: Two letters picked without replacement from turwp. Give prob of picking 2 u. Key: 0 Inquiry: What is prob of picking 1 y, 2 v, and 1 i when four letters picked without replacement from {y: 5, i: 1, v: 3, z: 3}? Key: 1/33 Inquiry: What is prob of picking 1 q and 2 n when three letters picked without replacement from {q: 1, n: 7, u: 2, p: 5, b: 1}? Key: 3/80 Inquiry: Three letters picked without replacement from hhbhbbhnhbbbbbnhhn. Wh
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numbers: is factor ------------------ Math Q: Is 2 a factor of 56416553? Compute: False Math Q: Is 3 a factor of 6243? Compute: True Math Q: Is 37 a factor of 190819147? Compute: False Math Q: Is 900453233 even? Compute: False Math Q: Is 43845420 a multiple of 792? Compute: False Math Q: Is 7 a factor of 11753686? Compute: True Math Q: Does 61 divide 20380421? Compute: False Math Q: Is 14884 a multiple of 244? Compute: True Math Q: Does 18 divide 6336? Compute: True Math Q: Is 92722 a multiple of 179? Compute: True Math Q: Does 54 divide 1214? Compute: False Math Q: Does 478 divide 1037738? Compute: True Math Q: Is 7066786 a multiple of 6? Compute: False Math Q: Is 66118525 a multiple of 3040? Compute: False Math Q: Does 42 divide 4704? Compute: True Math Q: Does 346 divide 247705? Compute: False Math Q: Does 19 divide 4218? Compute: True Math Q: Is 180 a factor of 15624467? Compute: False Math Q: Does 19 divide 1524703? Compute: False Math Q: Does 52 divide 7751330? Compute: False Math Q: Is 3808 a factor of 26914944? Compute: True Math Q: Is 60 a factor of 334185540? Compute: True Math Q: Is 34 a factor of 34? Compute: True Math Q: Is 4 a factor of 20739? Compute: False Math Q: Is 12 a factor of 15773663? Compute: False Math Q: Is 18204 a multiple of 6? Compute: True Math Q: Is 9 a factor of 2592? Compute: True Math Q: Is 65 a multiple of 9? Compute: False Math Q: Does 16 divide 748279136? Compute: True Math Q: Does 5134 divide 4841136104? Compute: True Math Q: Is 12929571 a multiple of 153? Compute: True Math Q: Is 6207223 a multiple of 1916? Compute: False Math Q: Is 5472 a multiple of 8? Compute: True Math Q: Is 251 a multiple of 4? Compute: False Math Q: Is 102 a factor of 1428? Compute: True Math Q: Is 4 a factor of 67? Compute: False Math Q: Is 17 a factor of 52564? Compute: True Math Q: Does 17 divide 17478927? Compute: False Math Q: Is 957 a factor of 10526043? Compute: True Math Q: Is 1711004 a multiple of 4? Compute: True Math Q: Does 70 divide 684? Comp
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measurement: conversion ----------------------- Scenario: Convert 24.5624 millimeters to meters. Explanation: 0.0245624 Scenario: What is 2056.45 years in millennia? Explanation: 2.05645 Scenario: How many hours are there in 52/3 of a week? Explanation: 2912 Scenario: Convert 27034.24m to centimeters. Explanation: 2703424 Scenario: How many nanograms are there in one sixteenth of a milligram? Explanation: 62500 Scenario: How many days are there in 51.69301 weeks? Explanation: 361.85107 Scenario: How many milliseconds are there in 9656.707 days? Explanation: 834339484800 Scenario: How many litres are there in 355228.5 millilitres? Explanation: 355.2285 Scenario: What is 829.4546mg in grams? Explanation: 0.8294546 Scenario: What is 2/15 of a century in months? Explanation: 160 Scenario: How many millimeters are there in 44149.92 micrometers? Explanation: 44.14992 Scenario: How many millilitres are there in 17/2 of a litre? Explanation: 8500 Scenario: How many millennia are there in 39.70486 centuries? Explanation: 3.970486 Scenario: What is 3.986577ms in nanoseconds? Explanation: 3986577 Scenario: How many months are there in one quarter of a year? Explanation: 3 Scenario: How many micrometers are there in 27.28781km? Explanation: 27287810000 Scenario: How many seconds are there in 2/63 of a week? Explanation: 19200 Scenario: What is 57/5 of a kilometer in meters? Explanation: 11400 Scenario: What is 0.527811km in millimeters? Explanation: 527811 Scenario: How many months are there in 21/8 of a century? Explanation: 3150 Scenario: What is one fifteenth of a millennium in months? Explanation: 800 Scenario: How many nanometers are there in 1/16 of a millimeter? Explanation: 62500 Scenario: How many nanometers are there in 1/4 of a micrometer? Explanation: 250 Scenario: What is 13/5 of a millennium in months? Explanation: 31200 Scenario: What is five quarters of a gram in milligrams? Explanation: 1250 Scenario: What is five eighths of a micrometer in nanometers? Explanat
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numbers: gcd ------------ Exercise: What is the highest common divisor of 7412 and 3924? Key: 436 Exercise: Calculate the highest common divisor of 11025 and 675171. Key: 441 Exercise: What is the highest common factor of 3180 and 13560? Key: 60 Exercise: Calculate the greatest common divisor of 20 and 5. Key: 5 Exercise: What is the highest common factor of 14625 and 29409? Key: 3 Exercise: What is the greatest common factor of 648276 and 2? Key: 2 Exercise: What is the greatest common divisor of 30 and 3? Key: 3 Exercise: Calculate the greatest common divisor of 3111 and 102. Key: 51 Exercise: What is the greatest common factor of 5440 and 1560056? Key: 136 Exercise: What is the greatest common factor of 13 and 54374567? Key: 13 Exercise: What is the greatest common divisor of 4 and 2766624? Key: 4 Exercise: What is the greatest common factor of 104 and 1079? Key: 13 Exercise: Calculate the greatest common divisor of 5995 and 839617735. Key: 5995 Exercise: What is the greatest common factor of 548181 and 79? Key: 79 Exercise: What is the greatest common factor of 5546 and 13442? Key: 94 Exercise: Calculate the greatest common factor of 10527 and 286. Key: 11 Exercise: Calculate the greatest common divisor of 806 and 50661. Key: 13 Exercise: What is the greatest common divisor of 1000221 and 66711? Key: 111 Exercise: Calculate the greatest common divisor of 584 and 5164. Key: 4 Exercise: Calculate the highest common divisor of 56 and 11290112. Key: 8 Exercise: Calculate the greatest common factor of 6640 and 240. Key: 80 Exercise: Calculate the highest common factor of 14 and 6986. Key: 14 Exercise: Calculate the highest common divisor of 7726192 and 124. Key: 124 Exercise: What is the greatest common factor of 445965 and 390? Key: 195 Exercise: What is the highest common factor of 57 and 1288941? Key: 57 Exercise: Calculate the greatest common factor of 11 and 855833. Key: 11 Exercise: What is the greatest common factor of 18992 and 2704? Key: 16 Exercise: Calcula
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probability: swr p sequence --------------------------- Part A: Three letters picked without replacement from qppqqqqwwqwpq. Give prob of sequence qpp. Result: 7/286 Part A: What is prob of sequence hh when two letters picked without replacement from {h: 3}? Result: 1 Part A: What is prob of sequence fbt when three letters picked without replacement from mfffffttttbt? Result: 5/264 Part A: What is prob of sequence jmjj when four letters picked without replacement from mjmjj? Result: 1/10 Part A: Calculate prob of sequence qwww when four letters picked without replacement from wwwqqqqwwwqwqqwqwwq. Result: 45/646 Part A: Three letters picked without replacement from hghhghhghgghhh. What is prob of sequence hgg? Result: 15/182 Part A: Four letters picked without replacement from {n: 1, z: 5, c: 5, j: 6, i: 3}. What is prob of sequence jcnj? Result: 5/3876 Part A: Calculate prob of sequence jmmu when four letters picked without replacement from jddmwuwm. Result: 1/840 Part A: Three letters picked without replacement from qqqqqyqqqqyq. Give prob of sequence yqq. Result: 3/22 Part A: What is prob of sequence gboy when four letters picked without replacement from {c: 2, o: 1, d: 1, g: 1, b: 1, y: 1}? Result: 1/840 Part A: Four letters picked without replacement from ijtiibk. What is prob of sequence tikj? Result: 1/280 Part A: Three letters picked without replacement from svdvdvssvsvdlls. What is prob of sequence slv? Result: 5/273 Part A: Calculate prob of sequence avva when four letters picked without replacement from {a: 5, v: 2}. Result: 1/21 Part A: What is prob of sequence hahh when four letters picked without replacement from nhsaa? Result: 0 Part A: Three letters picked without replacement from {e: 3, h: 4}. Give prob of sequence eeh. Result: 4/35 Part A: Calculate prob of sequence jujj when four letters picked without replacement from {j: 9, u: 3}. Result: 7/55 Part A: Four letters picked without replacement from xgzxdexdddg. What is prob of sequence gzxx? Result:
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numbers: is factor ------------------ Math Problem: Does 7 divide 7063? Result: True Math Problem: Is 101 a multiple of 12? Result: False Math Problem: Does 241 divide 475464? Result: False Math Problem: Is 68 a factor of 7924? Result: False Math Problem: Is 4960969 a multiple of 13? Result: True Math Problem: Is 81540 a multiple of 302? Result: True Math Problem: Does 3832 divide 2404882728? Result: True Math Problem: Is 685 a multiple of 15? Result: False Math Problem: Is 299 a factor of 249492? Result: False Math Problem: Is 728 a multiple of 26? Result: True Math Problem: Is 805 a factor of 13216377? Result: False Math Problem: Is 10 a factor of 137781? Result: False Math Problem: Is 4638 a factor of 740065287? Result: False Math Problem: Is 37 a factor of 359011? Result: True Math Problem: Does 74 divide 1877342340? Result: False Math Problem: Is 3160 a multiple of 218? Result: False Math Problem: Is 213527762 a multiple of 3426? Result: False Math Problem: Does 38 divide 1165764? Result: True Math Problem: Is 2 a factor of 2160? Result: True Math Problem: Is 93 a factor of 3808071? Result: True Math Problem: Is 9 a factor of 27? Result: True Math Problem: Does 36 divide 1329588? Result: True Math Problem: Is 35 a factor of 490? Result: True Math Problem: Does 2158 divide 1374228142? Result: False Math Problem: Is 82 a factor of 151126? Result: True Math Problem: Is 4479689210 a multiple of 17? Result: True Math Problem: Is 100758 a multiple of 4? Result: False Math Problem: Does 7 divide 22553? Result: False Math Problem: Is 19 a factor of 5954255? Result: False Math Problem: Is 770 a factor of 1980440? Result: True Math Problem: Does 71 divide 745074? Result: True Math Problem: Is 46 a factor of 1644? Result: False Math Problem: Is 495 a multiple of 33? Result: True Math Problem: Does 204 divide 3876061666? Result: False Math Problem: Is 123 a factor of 247788666? Result: True Math Problem: Is 6 a factor of 1415? Result: False Math Problem: Does 47 divide 816
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numbers: gcd ------------ Q): What is the highest common factor of 18 and 17046? Resolution: 18 Q): Calculate the highest common divisor of 1582 and 168. Resolution: 14 Q): Calculate the greatest common factor of 1392188 and 76. Resolution: 4 Q): What is the greatest common factor of 45237 and 2490696? Resolution: 2661 Q): Calculate the highest common divisor of 39188 and 16. Resolution: 4 Q): Calculate the highest common factor of 60 and 430135140. Resolution: 60 Q): What is the highest common divisor of 192 and 1632? Resolution: 96 Q): What is the greatest common factor of 33 and 9031? Resolution: 11 Q): Calculate the greatest common divisor of 358 and 54. Resolution: 2 Q): Calculate the greatest common divisor of 1311 and 1748. Resolution: 437 Q): What is the greatest common factor of 723 and 262004355? Resolution: 723 Q): Calculate the greatest common divisor of 96 and 48. Resolution: 48 Q): Calculate the greatest common factor of 186 and 5951754. Resolution: 6 Q): Calculate the highest common divisor of 5026 and 7. Resolution: 7 Q): What is the greatest common factor of 19062 and 102? Resolution: 6 Q): Calculate the highest common divisor of 245293667 and 19. Resolution: 19 Q): What is the greatest common divisor of 20 and 1012980? Resolution: 20 Q): Calculate the greatest common factor of 18953 and 492162. Resolution: 11 Q): Calculate the highest common factor of 15784293 and 42. Resolution: 21 Q): Calculate the greatest common factor of 8811116 and 644. Resolution: 92 Q): What is the highest common factor of 125403257 and 7189? Resolution: 553 Q): Calculate the highest common factor of 66 and 50754. Resolution: 66 Q): What is the greatest common factor of 6432336 and 3952? Resolution: 304 Q): What is the highest common divisor of 100 and 2680? Resolution: 20 Q): What is the greatest common factor of 3915 and 405? Resolution: 135 Q): What is the highest common divisor of 29 and 2233763251? Resolution: 29 Q): Calculate the greatest common divisor of 160979 and
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probability: swr p sequence --------------------------- Scenario: Three letters picked without replacement from {z: 9, e: 3, v: 1, j: 2, t: 4}. Give prob of sequence vje. Gives: 1/969 Scenario: Four letters picked without replacement from jgxcjwwjggwgwgwwxgco. What is prob of sequence gxgw? Gives: 1/323 Scenario: Two letters picked without replacement from gfggfpwegopeeegfp. What is prob of sequence ef? Gives: 3/68 Scenario: What is prob of sequence kzk when three letters picked without replacement from kkkkkkkkkkkkkzzkkkkz? Gives: 34/285 Scenario: Two letters picked without replacement from {l: 2, k: 8, i: 3, n: 4}. What is prob of sequence ln? Gives: 1/34 Scenario: Calculate prob of sequence iu when two letters picked without replacement from innnuniuuiiiuui. Gives: 1/7 Scenario: Two letters picked without replacement from dbdbdbbgdbddmddb. Give prob of sequence bd. Gives: 1/5 Scenario: Calculate prob of sequence yy when two letters picked without replacement from {y: 10}. Gives: 1 Scenario: Two letters picked without replacement from aaaaajajjjajaaaaja. Give prob of sequence aa. Gives: 22/51 Scenario: What is prob of sequence aaa when three letters picked without replacement from {a: 4}? Gives: 1 Scenario: Calculate prob of sequence vtg when three letters picked without replacement from pgwtoovpggoptw. Gives: 1/364 Scenario: Calculate prob of sequence zmmz when four letters picked without replacement from mmzmmmmmz. Gives: 1/36 Scenario: Three letters picked without replacement from uyyekuyukkyffyfyfy. What is prob of sequence ufe? Gives: 1/408 Scenario: What is prob of sequence vv when two letters picked without replacement from {e: 1, p: 2, u: 4, v: 2, o: 7}? Gives: 1/120 Scenario: Two letters picked without replacement from {v: 3, y: 2, s: 1, w: 3, f: 1}. Give prob of sequence sf. Gives: 1/90 Scenario: Three letters picked without replacement from ytlfqlm. Give prob of sequence qll. Gives: 1/105 Scenario: Three letters picked without replacement from rnarinn.
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numbers: is prime ----------------- Part A: Is 2570177 composite? Compute: False Part A: Is 33965671 composite? Compute: True Part A: Is 374953 composite? Compute: False Part A: Is 1437 a prime number? Compute: False Part A: Is 191663 composite? Compute: True Part A: Is 17713019 a prime number? Compute: True Part A: Is 17729 prime? Compute: True Part A: Is 469 prime? Compute: False Part A: Is 1543 prime? Compute: True Part A: Is 127235 composite? Compute: True Part A: Is 212454535 a composite number? Compute: True Part A: Is 80722505 a prime number? Compute: False Part A: Is 2831446003 composite? Compute: False Part A: Is 1967998963 a prime number? Compute: False Part A: Is 2807303 composite? Compute: False Part A: Is 245301439 a prime number? Compute: True Part A: Is 2422852331 composite? Compute: False Part A: Is 33549553633 composite? Compute: True Part A: Is 6653 prime? Compute: True Part A: Is 26807 prime? Compute: False Part A: Is 1091219 prime? Compute: True Part A: Is 33049 prime? Compute: True Part A: Is 23249037923 a prime number? Compute: True Part A: Is 580890899 a composite number? Compute: True Part A: Is 204872011 composite? Compute: True Part A: Is 54572647033 composite? Compute: False Part A: Is 42807107039 prime? Compute: False Part A: Is 5908897 a composite number? Compute: False Part A: Is 523497277 prime? Compute: True Part A: Is 22529 prime? Compute: False Part A: Is 585837739 a prime number? Compute: True Part A: Is 29926187407 prime? Compute: True Part A: Is 5038817273 a prime number? Compute: False Part A: Is 272494267 composite? Compute: False Part A: Is 895001021 prime? Compute: False Part A: Is 26185363553 prime? Compute: False Part A: Is 17123 composite? Compute: False Part A: Is 1293740797 composite? Compute: False Part A: Is 382531843 composite? Compute: False Part A: Is 168260297 a composite number? Compute: True Part A: Is 1263539 a composite number? Compute: False Part A: Is 11530591 a composite number? Compute: False Part A: Is 206
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numbers: place value -------------------- Statement: What is the units digit of 7955441? Eval: 1 Statement: What is the units digit of 774767405? Eval: 5 Statement: What is the hundred thousands digit of 3178812? Eval: 1 Statement: What is the ten thousands digit of 223873? Eval: 2 Statement: What is the thousands digit of 715270? Eval: 5 Statement: What is the hundreds digit of 619264523? Eval: 5 Statement: What is the ten thousands digit of 18910? Eval: 1 Statement: What is the tens digit of 3539? Eval: 3 Statement: What is the thousands digit of 1640209800? Eval: 9 Statement: What is the billions digit of 3556546530? Eval: 3 Statement: What is the ten thousands digit of 2332864? Eval: 3 Statement: What is the hundreds digit of 33566? Eval: 5 Statement: What is the ten millions digit of 44999225? Eval: 4 Statement: What is the ten thousands digit of 67085? Eval: 6 Statement: What is the ten thousands digit of 5430853? Eval: 3 Statement: What is the hundreds digit of 3477185? Eval: 1 Statement: What is the tens digit of 196478? Eval: 7 Statement: What is the units digit of 625? Eval: 5 Statement: What is the hundreds digit of 903766? Eval: 7 Statement: What is the hundred thousands digit of 190100? Eval: 1 Statement: What is the tens digit of 16442021? Eval: 2 Statement: What is the ten millions digit of 97178868? Eval: 9 Statement: What is the tens digit of 255728? Eval: 2 Statement: What is the units digit of 387085? Eval: 5 Statement: What is the thousands digit of 3136? Eval: 3 Statement: What is the units digit of 966? Eval: 6 Statement: What is the tens digit of 1898179? Eval: 7 Statement: What is the thousands digit of 114917? Eval: 4 Statement: What is the tens digit of 1437? Eval: 3 Statement: What is the units digit of 973814? Eval: 4 Statement: What is the thousands digit of 972546? Eval: 2 Statement: What is the hundred thousands digit of 3602229503? Eval: 2 Statement: What is the ten thousands digit of 555025? Eval: 5 Statement: What is the hundred mil
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probability: swr p sequence --------------------------- Conundrum: Calculate prob of sequence eaaa when four letters picked without replacement from {f: 1, e: 7, a: 3, w: 2, x: 3, p: 2}. Answer: 7/12240 Conundrum: Three letters picked without replacement from ozozhhizzoohzizpo. What is prob of sequence phi? Answer: 1/680 Conundrum: Calculate prob of sequence jjo when three letters picked without replacement from rrrrrjrsorsrjrrosssj. Answer: 1/570 Conundrum: Two letters picked without replacement from xxmgvxv. What is prob of sequence vv? Answer: 1/21 Conundrum: Calculate prob of sequence ppp when three letters picked without replacement from {p: 3}. Answer: 1 Conundrum: Two letters picked without replacement from dzzzzdzzzzzzz. What is prob of sequence dz? Answer: 11/78 Conundrum: Four letters picked without replacement from llgglllllglllllggg. What is prob of sequence lggl? Answer: 11/204 Conundrum: Two letters picked without replacement from bbuuubbubbubu. Give prob of sequence bu. Answer: 7/26 Conundrum: What is prob of sequence wq when two letters picked without replacement from {q: 2, o: 1, w: 1}? Answer: 1/6 Conundrum: Two letters picked without replacement from {x: 1, i: 1, q: 1}. What is prob of sequence iq? Answer: 1/6 Conundrum: What is prob of sequence ysys when four letters picked without replacement from ysyyyssyyy? Answer: 1/20 Conundrum: Calculate prob of sequence gg when two letters picked without replacement from {n: 1, s: 2, g: 2, p: 1, z: 1}. Answer: 1/21 Conundrum: Two letters picked without replacement from {k: 12, z: 6}. Give prob of sequence zk. Answer: 4/17 Conundrum: Two letters picked without replacement from {d: 4, l: 1, k: 2}. What is prob of sequence dl? Answer: 2/21 Conundrum: Three letters picked without replacement from {u: 3, n: 1, k: 1, t: 5, a: 1}. Give prob of sequence ntu. Answer: 1/66 Conundrum: Four letters picked without replacement from ssssssssss. What is prob of sequence ssss? Answer: 1 Conundrum: What is prob of sequence
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probability: swr p sequence --------------------------- Scenario: Three letters picked without replacement from uzuuzeeznaz. What is prob of sequence uau? Sol: 1/165 Scenario: Two letters picked without replacement from ilssliilisiilslisi. Give prob of sequence li. Sol: 20/153 Scenario: Four letters picked without replacement from xvpaxxax. What is prob of sequence xava? Sol: 1/210 Scenario: Four letters picked without replacement from vvvrvvrvrrrrvr. Give prob of sequence rvvr. Sol: 21/286 Scenario: Calculate prob of sequence rajr when four letters picked without replacement from jjjjjjrajjjajrajjrj. Sol: 13/5168 Scenario: Four letters picked without replacement from {h: 3, n: 5, y: 7, q: 2}. Give prob of sequence ynnn. Sol: 1/136 Scenario: Four letters picked without replacement from {u: 17, s: 3}. Give prob of sequence suus. Sol: 4/285 Scenario: Two letters picked without replacement from {p: 3, h: 1}. What is prob of sequence ph? Sol: 1/4 Scenario: Two letters picked without replacement from {o: 2, z: 1}. Give prob of sequence zo. Sol: 1/3 Scenario: Two letters picked without replacement from {b: 3, i: 2, u: 4}. Give prob of sequence ii. Sol: 1/36 Scenario: Two letters picked without replacement from kllyylyklly. Give prob of sequence yk. Sol: 4/55 Scenario: Calculate prob of sequence lwm when three letters picked without replacement from mmiimkikiiwmliw. Sol: 4/1365 Scenario: Three letters picked without replacement from kxxqkakbkdxa. What is prob of sequence aab? Sol: 1/660 Scenario: Calculate prob of sequence ccb when three letters picked without replacement from ombcc. Sol: 1/30 Scenario: What is prob of sequence xpxp when four letters picked without replacement from ppvvpxxvwx? Sol: 1/140 Scenario: Three letters picked without replacement from udvssdddmv. Give prob of sequence sdm. Sol: 1/90 Scenario: Four letters picked without replacement from {n: 3, u: 3}. Give prob of sequence uunn. Sol: 1/10 Scenario: Two letters picked without replacement from gitczyz
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measurement: time ----------------- Prompt: What is 145 minutes before 8:42 PM? Workthrough: 6:17 PM Prompt: How many minutes are there between 9:50 PM and 3:21 AM? Workthrough: 331 Prompt: How many minutes are there between 12:19 AM and 6:04 AM? Workthrough: 345 Prompt: What is 667 minutes before 6:29 AM? Workthrough: 7:22 PM Prompt: How many minutes are there between 6:58 PM and 3:09 AM? Workthrough: 491 Prompt: What is 172 minutes after 2:35 AM? Workthrough: 5:27 AM Prompt: What is 289 minutes after 6:36 PM? Workthrough: 11:25 PM Prompt: How many minutes are there between 6:08 AM and 9:01 AM? Workthrough: 173 Prompt: What is 175 minutes after 2:27 PM? Workthrough: 5:22 PM Prompt: How many minutes are there between 8:18 AM and 8:38 AM? Workthrough: 20 Prompt: What is 687 minutes after 3:56 AM? Workthrough: 3:23 PM Prompt: What is 418 minutes before 10:03 PM? Workthrough: 3:05 PM Prompt: How many minutes are there between 7:00 AM and 9:55 AM? Workthrough: 175 Prompt: What is 681 minutes after 1:56 AM? Workthrough: 1:17 PM Prompt: What is 90 minutes before 6:31 AM? Workthrough: 5:01 AM Prompt: What is 320 minutes after 8:19 PM? Workthrough: 1:39 AM Prompt: What is 40 minutes before 10:16 PM? Workthrough: 9:36 PM Prompt: How many minutes are there between 1:09 PM and 12:49 AM? Workthrough: 700 Prompt: What is 236 minutes before 2:02 AM? Workthrough: 10:06 PM Prompt: How many minutes are there between 10:41 PM and 9:27 AM? Workthrough: 646 Prompt: How many minutes are there between 3:52 AM and 7:16 AM? Workthrough: 204 Prompt: How many minutes are there between 8:30 AM and 9:26 AM? Workthrough: 56 Prompt: How many minutes are there between 1:53 PM and 2:53 PM? Workthrough: 60 Prompt: What is 126 minutes before 8:33 PM? Workthrough: 6:27 PM Prompt: How many minutes are there between 7:27 PM and 9:28 PM? Workthrough: 121 Prompt: What is 616 minutes after 7:40 AM? Workthrough: 5:56 PM Prompt: How many minutes are there between 1:00 PM and 2:51 PM? Workthrough: 111 Prompt
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measurement: conversion ----------------------- Example: What is 29299.65 seconds in milliseconds? Calculation: 29299650 Example: What is 33/10 of a century in months? Calculation: 3960 Example: How many litres are there in 0.7857988 millilitres? Calculation: 0.0007857988 Example: How many millilitres are there in 440577.5 litres? Calculation: 440577500 Example: What is one sixth of a day in minutes? Calculation: 240 Example: What is 0.3024733 kilometers in millimeters? Calculation: 302473.3 Example: How many micrometers are there in 8/25 of a millimeter? Calculation: 320 Example: What is 51/5 of a day in minutes? Calculation: 14688 Example: What is three fifths of a milligram in micrograms? Calculation: 600 Example: What is 1517.031558 milliseconds in weeks? Calculation: 0.000002508319375 Example: How many millilitres are there in 21/5 of a litre? Calculation: 4200 Example: How many centuries are there in 2258.902 decades? Calculation: 225.8902 Example: What is one quarter of a litre in millilitres? Calculation: 250 Example: What is 7/2 of a millimeter in micrometers? Calculation: 3500 Example: What is 5/4 of a gram in milligrams? Calculation: 1250 Example: Convert 45506.18 millilitres to litres. Calculation: 45.50618 Example: How many microseconds are there in 1/4 of a millisecond? Calculation: 250 Example: How many millilitres are there in 26/5 of a litre? Calculation: 5200 Example: What is 0.8187423 decades in centuries? Calculation: 0.08187423 Example: What is 34803.44 tonnes in milligrams? Calculation: 34803440000000 Example: Convert 277.47786 months to centuries. Calculation: 0.23123155 Example: Convert 7.865016 days to seconds. Calculation: 679537.3824 Example: How many centimeters are there in eighteen fifths of a meter? Calculation: 360 Example: How many millilitres are there in twenty-seven halves of a litre? Calculation: 13500 Example: How many millilitres are there in 6/5 of a litre? Calculation: 1200 Example: How many seconds are there in 21/5 of a hou
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numbers: gcd ------------ Step: What is the greatest common factor of 18 and 12? A: 6 Step: What is the highest common divisor of 144 and 365616? A: 144 Step: What is the highest common factor of 287326074 and 276? A: 138 Step: What is the greatest common divisor of 155 and 62? A: 31 Step: Calculate the highest common factor of 28 and 112. A: 28 Step: What is the highest common factor of 20 and 6? A: 2 Step: Calculate the highest common divisor of 169 and 117. A: 13 Step: Calculate the greatest common factor of 575 and 14425. A: 25 Step: Calculate the highest common factor of 2336525 and 19. A: 19 Step: What is the greatest common factor of 83324 and 592? A: 148 Step: Calculate the greatest common factor of 1295580 and 5764. A: 44 Step: Calculate the greatest common factor of 112 and 641144. A: 56 Step: What is the greatest common factor of 1224 and 106947? A: 153 Step: Calculate the highest common divisor of 7070164 and 580588. A: 692 Step: What is the highest common factor of 1179 and 2096? A: 131 Step: What is the greatest common divisor of 761218 and 413? A: 59 Step: What is the greatest common divisor of 976 and 9881756? A: 244 Step: Calculate the greatest common factor of 21526 and 213886. A: 458 Step: Calculate the highest common factor of 252 and 2628. A: 36 Step: Calculate the highest common divisor of 4095 and 40846624. A: 91 Step: Calculate the greatest common divisor of 1835823 and 33. A: 33 Step: Calculate the greatest common factor of 61851 and 159. A: 159 Step: What is the greatest common factor of 10678 and 1123584? A: 38 Step: What is the greatest common factor of 5495 and 3454? A: 157 Step: Calculate the highest common factor of 1412 and 18546267. A: 353 Step: Calculate the highest common factor of 684 and 468. A: 36 Step: Calculate the highest common divisor of 161 and 42. A: 7 Step: What is the highest common divisor of 936 and 1417? A: 13 Step: Calculate the greatest common factor of 12597 and 4420. A: 221 Step: What is the highest common diviso
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numbers: gcd ------------ Step: Calculate the greatest common divisor of 11 and 2794209. Clarification: 11 Step: What is the greatest common divisor of 278586 and 134? Clarification: 134 Step: Calculate the greatest common factor of 2547 and 117. Clarification: 9 Step: What is the highest common factor of 92171288 and 998? Clarification: 998 Step: Calculate the highest common divisor of 210554235 and 224775. Clarification: 14985 Step: Calculate the highest common factor of 145388 and 1577. Clarification: 19 Step: Calculate the greatest common factor of 18 and 29934. Clarification: 18 Step: Calculate the greatest common divisor of 134 and 125162030. Clarification: 134 Step: What is the highest common divisor of 204 and 561? Clarification: 51 Step: What is the greatest common divisor of 17699 and 11? Clarification: 11 Step: Calculate the greatest common divisor of 98320 and 120. Clarification: 40 Step: What is the greatest common divisor of 163 and 20864? Clarification: 163 Step: Calculate the greatest common factor of 578 and 68. Clarification: 34 Step: What is the greatest common factor of 72046 and 44799898? Clarification: 4238 Step: Calculate the greatest common divisor of 5418 and 462. Clarification: 42 Step: Calculate the highest common factor of 536 and 335. Clarification: 67 Step: Calculate the greatest common divisor of 1261 and 814218. Clarification: 97 Step: What is the highest common factor of 7738858 and 142? Clarification: 142 Step: Calculate the greatest common factor of 357988 and 24428. Clarification: 124 Step: What is the greatest common divisor of 31522506 and 34? Clarification: 2 Step: What is the highest common factor of 44875931 and 336663? Clarification: 12469 Step: What is the highest common divisor of 69 and 511912541? Clarification: 23 Step: Calculate the greatest common divisor of 1030 and 865715. Clarification: 515 Step: Calculate the highest common divisor of 6790 and 169265. Clarification: 485 Step: What is the greatest common divisor of
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probability: swr p sequence --------------------------- Case: Four letters picked without replacement from ftgngtgtpff. Give prob of sequence fggg. = : 1/440 Case: Calculate prob of sequence gdd when three letters picked without replacement from {k: 2, g: 2, d: 5}. = : 5/63 Case: Calculate prob of sequence jwa when three letters picked without replacement from {j: 8, w: 8, a: 1}. = : 4/255 Case: What is prob of sequence upx when three letters picked without replacement from ppuuxpsppupss? = : 3/286 Case: What is prob of sequence qyd when three letters picked without replacement from qyyqqdqddqqdqqqy? = : 9/280 Case: Four letters picked without replacement from pvfvvfvp. Give prob of sequence vffv. = : 1/70 Case: Three letters picked without replacement from fooufrrorruro. What is prob of sequence rfr? = : 10/429 Case: Two letters picked without replacement from fbiffffnbbbbipfvn. Give prob of sequence bp. = : 5/272 Case: What is prob of sequence ko when two letters picked without replacement from {x: 5, z: 1, k: 2, p: 1, o: 1}? = : 1/45 Case: Four letters picked without replacement from {u: 1, x: 1, j: 3}. What is prob of sequence jujj? = : 1/20 Case: What is prob of sequence wfw when three letters picked without replacement from {w: 3, f: 3}? = : 3/20 Case: Four letters picked without replacement from xitiitxxiitti. What is prob of sequence iixi? = : 3/143 Case: What is prob of sequence yb when two letters picked without replacement from {y: 6, v: 3, q: 3, b: 3}? = : 3/35 Case: Four letters picked without replacement from opqqpqqssqpqososqol. What is prob of sequence soop? = : 1/646 Case: Three letters picked without replacement from {o: 8, k: 4, x: 4}. Give prob of sequence xok. = : 4/105 Case: Four letters picked without replacement from xnzmmxmxzzm. What is prob of sequence mmzz? = : 1/110 Case: Three letters picked without replacement from pwbpwwwbpp. Give prob of sequence bwp. = : 2/45 Case: What is prob of sequence aaai when four letters picked without replac
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numbers: div remainder ---------------------- Q): Calculate the remainder when 440 is divided by 61. Ans: 13 Q): What is the remainder when 56 is divided by 30? Ans: 26 Q): What is the remainder when 2336 is divided by 78? Ans: 74 Q): What is the remainder when 6914 is divided by 3077? Ans: 760 Q): What is the remainder when 704492 is divided by 13543? Ans: 256 Q): Calculate the remainder when 1754 is divided by 36. Ans: 26 Q): What is the remainder when 1671973 is divided by 4019? Ans: 69 Q): Calculate the remainder when 88094 is divided by 2142. Ans: 272 Q): What is the remainder when 1680495 is divided by 93331? Ans: 537 Q): What is the remainder when 14470876 is divided by 9? Ans: 1 Q): Calculate the remainder when 34476793 is divided by 84. Ans: 1 Q): What is the remainder when 6527 is divided by 429? Ans: 92 Q): Calculate the remainder when 43976 is divided by 14628. Ans: 92 Q): What is the remainder when 121964 is divided by 12195? Ans: 14 Q): What is the remainder when 68 is divided by 20? Ans: 8 Q): What is the remainder when 6434 is divided by 153? Ans: 8 Q): Calculate the remainder when 73484 is divided by 24460. Ans: 104 Q): Calculate the remainder when 248 is divided by 240. Ans: 8 Q): What is the remainder when 139381 is divided by 634? Ans: 535 Q): What is the remainder when 6873 is divided by 33? Ans: 9 Q): Calculate the remainder when 3761 is divided by 351. Ans: 251 Q): What is the remainder when 24650 is divided by 14? Ans: 10 Q): What is the remainder when 7899 is divided by 465? Ans: 459 Q): Calculate the remainder when 17752 is divided by 55. Ans: 42 Q): What is the remainder when 968 is divided by 81? Ans: 77 Q): Calculate the remainder when 381 is divided by 16. Ans: 13 Q): Calculate the remainder when 213909 is divided by 699. Ans: 15 Q): Calculate the remainder when 26861 is divided by 6351. Ans: 1457 Q): What is the remainder when 319 is divided by 215? Ans: 104 Q): What is the remainder when 84 is divided by 39? Ans: 6 Q): What is the rem
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numbers: place value -------------------- Ask: What is the ten thousands digit of 859080564? Answer: 8 Ask: What is the hundreds digit of 1016? Answer: 0 Ask: What is the units digit of 1433? Answer: 3 Ask: What is the ten thousands digit of 35888715? Answer: 8 Ask: What is the units digit of 804? Answer: 4 Ask: What is the tens digit of 2300343? Answer: 4 Ask: What is the ten thousands digit of 5292842? Answer: 9 Ask: What is the tens digit of 181? Answer: 8 Ask: What is the hundred millions digit of 4066217483? Answer: 0 Ask: What is the tens digit of 635? Answer: 3 Ask: What is the hundreds digit of 1054? Answer: 0 Ask: What is the hundreds digit of 4562136909? Answer: 9 Ask: What is the units digit of 882189? Answer: 9 Ask: What is the tens digit of 37385744? Answer: 4 Ask: What is the tens digit of 4732825215? Answer: 1 Ask: What is the units digit of 4772? Answer: 2 Ask: What is the tens digit of 101585? Answer: 8 Ask: What is the thousands digit of 12778096? Answer: 8 Ask: What is the millions digit of 2900907043? Answer: 0 Ask: What is the units digit of 1384? Answer: 4 Ask: What is the hundred thousands digit of 474387? Answer: 4 Ask: What is the millions digit of 6461585643? Answer: 1 Ask: What is the units digit of 2125485? Answer: 5 Ask: What is the tens digit of 56942710? Answer: 1 Ask: What is the hundreds digit of 287345? Answer: 3 Ask: What is the tens digit of 304246? Answer: 4 Ask: What is the units digit of 550? Answer: 0 Ask: What is the tens digit of 423421668? Answer: 6 Ask: What is the ten thousands digit of 353911? Answer: 5 Ask: What is the tens digit of 48181? Answer: 8 Ask: What is the millions digit of 86688903? Answer: 6 Ask: What is the units digit of 11504467? Answer: 7 Ask: What is the units digit of 6917? Answer: 7 Ask: What is the tens digit of 29524? Answer: 2 Ask: What is the hundred thousands digit of 238716520? Answer: 7 Ask: What is the thousands digit of 49602? Answer: 9 Ask: What is the thousands digit of 5329? Answer: 5 Ask:
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numbers: place value -------------------- Q/A: What is the thousands digit of 71955175? Hence: 5 Q/A: What is the ten thousands digit of 8580066? Hence: 8 Q/A: What is the hundreds digit of 1672? Hence: 6 Q/A: What is the ten thousands digit of 10102? Hence: 1 Q/A: What is the hundred thousands digit of 16341844? Hence: 3 Q/A: What is the hundred thousands digit of 468955496? Hence: 9 Q/A: What is the hundred thousands digit of 45749900? Hence: 7 Q/A: What is the units digit of 2895886087? Hence: 7 Q/A: What is the hundreds digit of 943496? Hence: 4 Q/A: What is the units digit of 2773? Hence: 3 Q/A: What is the hundreds digit of 2722? Hence: 7 Q/A: What is the units digit of 10803003? Hence: 3 Q/A: What is the thousands digit of 1306? Hence: 1 Q/A: What is the tens digit of 76315531? Hence: 3 Q/A: What is the thousands digit of 4704928193? Hence: 8 Q/A: What is the hundreds digit of 5657499783? Hence: 7 Q/A: What is the thousands digit of 494840814? Hence: 0 Q/A: What is the tens digit of 609? Hence: 0 Q/A: What is the tens digit of 12136? Hence: 3 Q/A: What is the tens digit of 243543179? Hence: 7 Q/A: What is the hundreds digit of 44840587? Hence: 5 Q/A: What is the units digit of 287800329? Hence: 9 Q/A: What is the hundred millions digit of 5285478485? Hence: 2 Q/A: What is the hundreds digit of 960? Hence: 9 Q/A: What is the hundreds digit of 5873? Hence: 8 Q/A: What is the ten millions digit of 17686429? Hence: 1 Q/A: What is the thousands digit of 30255? Hence: 0 Q/A: What is the tens digit of 1757? Hence: 5 Q/A: What is the millions digit of 2307693173? Hence: 7 Q/A: What is the hundreds digit of 491544? Hence: 5 Q/A: What is the hundred thousands digit of 952741? Hence: 9 Q/A: What is the tens digit of 2861? Hence: 6 Q/A: What is the thousands digit of 4175497? Hence: 5 Q/A: What is the thousands digit of 658479? Hence: 8 Q/A: What is the tens digit of 2758284? Hence: 8 Q/A: What is the hundreds digit of 15785796? Hence: 7 Q/A: What is the millions digit o
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probability: swr p sequence --------------------------- Input: Two letters picked without replacement from {q: 1, d: 2, j: 4, i: 2, v: 6, t: 2}. What is prob of sequence vq? Therefore: 3/136 Input: What is prob of sequence xix when three letters picked without replacement from {i: 1, o: 6, x: 4}? Therefore: 2/165 Input: Calculate prob of sequence haa when three letters picked without replacement from hhhhhahahahhhhhhhaa. Therefore: 140/2907 Input: Four letters picked without replacement from izwiigdii. What is prob of sequence giwd? Therefore: 5/3024 Input: Three letters picked without replacement from frrrarkrfrkarqakka. Give prob of sequence rfq. Therefore: 7/2448 Input: Calculate prob of sequence kkkk when four letters picked without replacement from {k: 10, u: 2}. Therefore: 14/33 Input: What is prob of sequence tr when two letters picked without replacement from nktrtmrkmttttrrktr? Therefore: 35/306 Input: Four letters picked without replacement from {h: 2, j: 2, f: 4}. What is prob of sequence hffj? Therefore: 1/35 Input: Two letters picked without replacement from {y: 1, e: 8, o: 2, h: 2}. What is prob of sequence ey? Therefore: 2/39 Input: Calculate prob of sequence in when two letters picked without replacement from pzinnznziizznnniz. Therefore: 3/34 Input: Calculate prob of sequence eeq when three letters picked without replacement from eqqqeq. Therefore: 1/15 Input: What is prob of sequence ppp when three letters picked without replacement from mmamummaamauuupmmmm? Therefore: 0 Input: What is prob of sequence mnnm when four letters picked without replacement from mmnsmnh? Therefore: 1/70 Input: Two letters picked without replacement from {q: 10, j: 4}. What is prob of sequence jq? Therefore: 20/91 Input: Calculate prob of sequence qgfk when four letters picked without replacement from qfkgggkgqpgfqfg. Therefore: 3/910 Input: What is prob of sequence uwwp when four letters picked without replacement from {w: 2, u: 3, p: 10}? Therefore: 1/546 Input: Two let
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probability: swr p level set ---------------------------- Test item: Two letters picked without replacement from {k: 4, w: 15}. Give prob of picking 1 w and 1 k. Finding: 20/57 Test item: Three letters picked without replacement from {z: 1, c: 1, y: 2, e: 1, q: 2, v: 1}. Give prob of picking 1 y and 2 q. Finding: 1/28 Test item: Two letters picked without replacement from {l: 2, u: 3}. Give prob of picking 2 u. Finding: 3/10 Test item: Two letters picked without replacement from hzhhacccchhhhha. Give prob of picking 1 a and 1 c. Finding: 8/105 Test item: Three letters picked without replacement from {r: 6, p: 4, x: 1}. What is prob of picking 2 p and 1 r? Finding: 12/55 Test item: Calculate prob of picking 4 a when four letters picked without replacement from {j: 4, p: 1, a: 4, m: 2}. Finding: 1/330 Test item: Three letters picked without replacement from kkeokkeleelllkekkkl. What is prob of picking 1 k, 1 l, and 1 o? Finding: 40/969 Test item: Two letters picked without replacement from vzzycob. Give prob of picking 1 b and 1 z. Finding: 2/21 Test item: Two letters picked without replacement from {q: 1, i: 1, z: 2, u: 2, o: 4, g: 5}. Give prob of picking 1 u and 1 z. Finding: 4/105 Test item: Two letters picked without replacement from {y: 4, q: 1, o: 2, p: 2}. What is prob of picking 2 y? Finding: 1/6 Test item: What is prob of picking 1 i and 2 c when three letters picked without replacement from {a: 8, i: 1, k: 2, c: 2, z: 1, t: 1}? Finding: 1/455 Test item: What is prob of picking 2 u and 1 v when three letters picked without replacement from {v: 3, l: 3, w: 1, u: 4}? Finding: 6/55 Test item: Four letters picked without replacement from {m: 9, u: 7, z: 3}. Give prob of picking 2 m and 2 u. Finding: 63/323 Test item: What is prob of picking 1 o and 1 j when two letters picked without replacement from {a: 4, o: 2, e: 10, j: 1, y: 1}? Finding: 2/153 Test item: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {l: 1, y: 7}. Find
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probability: swr p level set ---------------------------- Topic: Two letters picked without replacement from nvnvyyvnn. Give prob of picking 2 n. Workthrough: 1/6 Topic: What is prob of picking 1 u and 1 s when two letters picked without replacement from {s: 2, u: 2, k: 1, z: 4, w: 1}? Workthrough: 4/45 Topic: What is prob of picking 1 d and 2 a when three letters picked without replacement from {a: 4, c: 2, u: 1, e: 1, d: 1}? Workthrough: 1/14 Topic: Four letters picked without replacement from kuoykykkk. What is prob of picking 3 k and 1 y? Workthrough: 10/63 Topic: What is prob of picking 1 j and 1 u when two letters picked without replacement from ysjubbuuuy? Workthrough: 4/45 Topic: What is prob of picking 2 g and 2 a when four letters picked without replacement from gaagrrgrrarargraa? Workthrough: 9/238 Topic: Three letters picked without replacement from {f: 2, k: 4, s: 2}. Give prob of picking 2 s and 1 k. Workthrough: 1/14 Topic: What is prob of picking 1 j and 1 g when two letters picked without replacement from {r: 2, j: 1, h: 2, c: 1, g: 1, y: 1}? Workthrough: 1/28 Topic: Three letters picked without replacement from {d: 1, i: 3, h: 5}. Give prob of picking 3 i. Workthrough: 1/84 Topic: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {q: 1, z: 2, l: 3, r: 3, w: 1, k: 1}. Workthrough: 3/55 Topic: Three letters picked without replacement from {s: 2, q: 5, p: 2}. What is prob of picking 3 q? Workthrough: 5/42 Topic: Three letters picked without replacement from {m: 4, y: 7}. What is prob of picking 2 m and 1 y? Workthrough: 14/55 Topic: Calculate prob of picking 1 f, 2 r, and 1 y when four letters picked without replacement from {r: 12, t: 1, w: 1, y: 2, f: 3}. Workthrough: 33/323 Topic: Three letters picked without replacement from ppgyttxvv. Give prob of picking 2 t and 1 g. Workthrough: 1/84 Topic: Three letters picked without replacement from {w: 2, k: 1, n: 2, j: 1, u: 1}. What is prob of picking 1 u, 1 j, and 1 w
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numbers: place value -------------------- Given: What is the thousands digit of 1222? Ans: 1 Given: What is the tens digit of 39487? Ans: 8 Given: What is the thousands digit of 56816685? Ans: 6 Given: What is the units digit of 798? Ans: 8 Given: What is the tens digit of 152790289? Ans: 8 Given: What is the hundreds digit of 679506? Ans: 5 Given: What is the thousands digit of 1316271157? Ans: 1 Given: What is the hundreds digit of 7828596? Ans: 5 Given: What is the millions digit of 6804696? Ans: 6 Given: What is the ten thousands digit of 245410? Ans: 4 Given: What is the ten thousands digit of 975801? Ans: 7 Given: What is the hundreds digit of 5640? Ans: 6 Given: What is the millions digit of 368489172? Ans: 8 Given: What is the tens digit of 67249? Ans: 4 Given: What is the hundred thousands digit of 277881? Ans: 2 Given: What is the millions digit of 1448075? Ans: 1 Given: What is the units digit of 120019988? Ans: 8 Given: What is the hundreds digit of 264739? Ans: 7 Given: What is the thousands digit of 2270519? Ans: 0 Given: What is the thousands digit of 21042? Ans: 1 Given: What is the thousands digit of 384628? Ans: 4 Given: What is the thousands digit of 34541? Ans: 4 Given: What is the thousands digit of 4999908? Ans: 9 Given: What is the thousands digit of 31591? Ans: 1 Given: What is the ten thousands digit of 103103? Ans: 0 Given: What is the units digit of 123825? Ans: 5 Given: What is the ten thousands digit of 436108? Ans: 3 Given: What is the millions digit of 1168525? Ans: 1 Given: What is the tens digit of 577? Ans: 7 Given: What is the hundred thousands digit of 10171778? Ans: 1 Given: What is the ten thousands digit of 10174? Ans: 1 Given: What is the thousands digit of 1734? Ans: 1 Given: What is the units digit of 601441? Ans: 1 Given: What is the tens digit of 3327? Ans: 2 Given: What is the hundreds digit of 4451? Ans: 4 Given: What is the tens digit of 1133216? Ans: 1 Given: What is the millions digit of 4376451053? Ans: 6 Given: What
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numbers: div remainder ---------------------- Example: What is the remainder when 2619 is divided by 6? Result: 3 Example: What is the remainder when 1819 is divided by 307? Result: 284 Example: Calculate the remainder when 447 is divided by 89. Result: 2 Example: What is the remainder when 11097 is divided by 132? Result: 9 Example: What is the remainder when 6388 is divided by 99? Result: 52 Example: What is the remainder when 36171575 is divided by 1128? Result: 1127 Example: Calculate the remainder when 389949 is divided by 201. Result: 9 Example: What is the remainder when 16791370 is divided by 1253? Result: 1170 Example: Calculate the remainder when 1111 is divided by 28. Result: 19 Example: Calculate the remainder when 416624 is divided by 416589. Result: 35 Example: What is the remainder when 648693177 is divided by 9004? Result: 9001 Example: What is the remainder when 31444 is divided by 7840? Result: 84 Example: Calculate the remainder when 5020 is divided by 4935. Result: 85 Example: What is the remainder when 80026088 is divided by 3106? Result: 3104 Example: What is the remainder when 389 is divided by 39? Result: 38 Example: What is the remainder when 1245 is divided by 405? Result: 30 Example: What is the remainder when 141 is divided by 33? Result: 9 Example: Calculate the remainder when 48 is divided by 13. Result: 9 Example: Calculate the remainder when 871 is divided by 97. Result: 95 Example: What is the remainder when 1212 is divided by 497? Result: 218 Example: Calculate the remainder when 196 is divided by 22. Result: 20 Example: What is the remainder when 14713 is divided by 61? Result: 12 Example: What is the remainder when 1746 is divided by 227? Result: 157 Example: What is the remainder when 197 is divided by 84? Result: 29 Example: What is the remainder when 1335 is divided by 722? Result: 613 Example: What is the remainder when 734154 is divided by 797? Result: 117 Example: What is the remainder when 891 is divided by 271? Result: 78
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numbers: place value -------------------- Prompt: What is the hundred thousands digit of 45063427? Ans: 0 Prompt: What is the ten thousands digit of 711960? Ans: 1 Prompt: What is the hundreds digit of 26951? Ans: 9 Prompt: What is the thousands digit of 616642? Ans: 6 Prompt: What is the hundreds digit of 8791488? Ans: 4 Prompt: What is the units digit of 4286124? Ans: 4 Prompt: What is the ten thousands digit of 648156410? Ans: 5 Prompt: What is the ten millions digit of 8477877248? Ans: 7 Prompt: What is the hundreds digit of 17857? Ans: 8 Prompt: What is the tens digit of 1055139737? Ans: 3 Prompt: What is the units digit of 28333? Ans: 3 Prompt: What is the thousands digit of 11326? Ans: 1 Prompt: What is the units digit of 396? Ans: 6 Prompt: What is the tens digit of 456247? Ans: 4 Prompt: What is the hundreds digit of 719805? Ans: 8 Prompt: What is the tens digit of 2477368494? Ans: 9 Prompt: What is the thousands digit of 126664510? Ans: 4 Prompt: What is the thousands digit of 3014? Ans: 3 Prompt: What is the units digit of 54789? Ans: 9 Prompt: What is the hundreds digit of 58784? Ans: 7 Prompt: What is the hundreds digit of 84907468? Ans: 4 Prompt: What is the tens digit of 12086660? Ans: 6 Prompt: What is the units digit of 260811? Ans: 1 Prompt: What is the tens digit of 976? Ans: 7 Prompt: What is the millions digit of 29815897? Ans: 9 Prompt: What is the thousands digit of 189839? Ans: 9 Prompt: What is the ten millions digit of 23840140? Ans: 2 Prompt: What is the thousands digit of 12636? Ans: 2 Prompt: What is the thousands digit of 42169? Ans: 2 Prompt: What is the millions digit of 12111423? Ans: 2 Prompt: What is the ten thousands digit of 43478? Ans: 4 Prompt: What is the thousands digit of 13384? Ans: 3 Prompt: What is the hundreds digit of 1200041? Ans: 0 Prompt: What is the hundred millions digit of 1861815258? Ans: 8 Prompt: What is the ten thousands digit of 147172? Ans: 4 Prompt: What is the ten thousands digit of 13908485? Ans: 0 Prompt
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probability: swr p sequence --------------------------- Exercise: Four letters picked without replacement from {v: 10, c: 4}. Give prob of sequence ccvv. Key: 45/1001 Exercise: Three letters picked without replacement from ovvffvvfov. What is prob of sequence vfv? Key: 1/12 Exercise: Calculate prob of sequence oooh when four letters picked without replacement from ohooooooooh. Key: 7/55 Exercise: What is prob of sequence qhv when three letters picked without replacement from tqzvh? Key: 1/60 Exercise: Calculate prob of sequence shh when three letters picked without replacement from ssdsdshddhhss. Key: 3/143 Exercise: What is prob of sequence xx when two letters picked without replacement from {i: 3, c: 4, x: 6}? Key: 5/26 Exercise: Four letters picked without replacement from muummguguunum. Give prob of sequence uuug. Key: 2/143 Exercise: Four letters picked without replacement from {g: 1, h: 1, e: 2, l: 2, t: 1}. Give prob of sequence ehgt. Key: 1/420 Exercise: Two letters picked without replacement from hhohhhhohhhhohhohohh. What is prob of sequence hh? Key: 21/38 Exercise: Three letters picked without replacement from poopwoppwo. What is prob of sequence oop? Key: 1/15 Exercise: Four letters picked without replacement from {m: 3, k: 2, h: 1, o: 6, d: 1, s: 2}. What is prob of sequence hmmd? Key: 1/5460 Exercise: Calculate prob of sequence dh when two letters picked without replacement from srhhhhhdshdhrffss. Key: 7/136 Exercise: Two letters picked without replacement from {p: 2, s: 2, g: 1, u: 3, d: 3, q: 1}. What is prob of sequence qu? Key: 1/44 Exercise: Calculate prob of sequence fp when two letters picked without replacement from {p: 6, e: 4, f: 4}. Key: 12/91 Exercise: Calculate prob of sequence cxx when three letters picked without replacement from {u: 1, c: 2, x: 2, l: 4, z: 1}. Key: 1/180 Exercise: Three letters picked without replacement from atrsrqt. Give prob of sequence rrt. Key: 2/105 Exercise: What is prob of sequence zzyt when four letters picked
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measurement: conversion ----------------------- Issue: Convert 243.56106 months to decades. Finding: 2.0296755 Issue: How many years are there in 57/5 of a decade? Finding: 114 Issue: How many grams are there in 2/125 of a tonne? Finding: 16000 Issue: What is five quarters of a litre in millilitres? Finding: 1250 Issue: What is 21/4 of a year in months? Finding: 63 Issue: What is seventeen quarters of a tonne in kilograms? Finding: 4250 Issue: Convert 92.8513 litres to millilitres. Finding: 92851.3 Issue: How many months are there in 4813.372 millennia? Finding: 57760464 Issue: How many nanometers are there in eleven eighths of a micrometer? Finding: 1375 Issue: Convert 832859.1kg to tonnes. Finding: 832.8591 Issue: What is five sixths of a day in minutes? Finding: 1200 Issue: Convert 46320.24m to kilometers. Finding: 46.32024 Issue: How many months are there in seven halves of a millennium? Finding: 42000 Issue: Convert 7.039624 millennia to years. Finding: 7039.624 Issue: Convert 4.904414 millilitres to litres. Finding: 0.004904414 Issue: How many millimeters are there in three fifths of a centimeter? Finding: 6 Issue: Convert 1794.133 weeks to minutes. Finding: 18084860.64 Issue: How many minutes are there in 13/4 of a hour? Finding: 195 Issue: How many milligrams are there in 5/8 of a gram? Finding: 625 Issue: What is 66.92759 litres in millilitres? Finding: 66927.59 Issue: What is eight thirds of a week in hours? Finding: 448 Issue: What is 1/10 of a millimeter in micrometers? Finding: 100 Issue: Convert 5.518591cm to micrometers. Finding: 55185.91 Issue: What is 12620.02cm in millimeters? Finding: 126200.2 Issue: How many months are there in 0.8236427 millennia? Finding: 9883.7124 Issue: What is fifty-one quarters of a litre in millilitres? Finding: 12750 Issue: What is 8348.001ug in tonnes? Finding: 0.000000008348001 Issue: What is 14396.16 years in decades? Finding: 1439.616 Issue: How many nanometers are there in eighteen fifths of a micrometer? Finding: 36
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measurement: conversion ----------------------- Q: How many micrometers are there in thirty-three fifths of a millimeter? Explanation: 6600 Q: Convert 682.3054um to centimeters. Explanation: 0.06823054 Q: Convert 85.52684 weeks to nanoseconds. Explanation: 51726632832000000 Q: What is 0.015663t in kilograms? Explanation: 15.663 Q: Convert 56.24324 years to centuries. Explanation: 0.5624324 Q: How many millennia are there in 1.150753 centuries? Explanation: 0.1150753 Q: How many millilitres are there in seven quarters of a litre? Explanation: 1750 Q: What is 1631.4 nanometers in centimeters? Explanation: 0.00016314 Q: Convert 0.4325563 millennia to centuries. Explanation: 4.325563 Q: How many millilitres are there in six fifths of a litre? Explanation: 1200 Q: What is 6/5 of a millennium in decades? Explanation: 120 Q: How many nanograms are there in 12/25 of a microgram? Explanation: 480 Q: How many millilitres are there in 3.024265l? Explanation: 3024.265 Q: How many centimeters are there in three eighths of a kilometer? Explanation: 37500 Q: How many months are there in three eighths of a century? Explanation: 450 Q: What is 8530.217 years in millennia? Explanation: 8.530217 Q: How many grams are there in 15.24569mg? Explanation: 0.01524569 Q: Convert 103.64364 seconds to minutes. Explanation: 1.727394 Q: What is 7/4 of a second in milliseconds? Explanation: 1750 Q: How many decades are there in 333.5108 millennia? Explanation: 33351.08 Q: How many micrometers are there in 17/2 of a millimeter? Explanation: 8500 Q: What is 453394.9 litres in millilitres? Explanation: 453394900 Q: What is 57/2 of a litre in millilitres? Explanation: 28500 Q: How many minutes are there in 2/15 of a week? Explanation: 1344 Q: Convert 81991.52s to microseconds. Explanation: 81991520000 Q: Convert 98989.99t to nanograms. Explanation: 98989990000000000000 Q: Convert 0.6338718ms to hours. Explanation: 0.0000001760755 Q: What is 15/4 of a litre in millilitres? Explanation: 3750 Q: Convert
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measurement: time ----------------- Case: How many minutes are there between 8:27 AM and 2:55 PM? Ans: 388 Case: What is 6 minutes before 8:14 AM? Ans: 8:08 AM Case: How many minutes are there between 12:58 PM and 3:53 PM? Ans: 175 Case: How many minutes are there between 8:32 PM and 1:49 AM? Ans: 317 Case: How many minutes are there between 10:48 AM and 10:25 PM? Ans: 697 Case: How many minutes are there between 6:26 AM and 10:38 AM? Ans: 252 Case: How many minutes are there between 3:08 PM and 4:44 PM? Ans: 96 Case: How many minutes are there between 9:46 PM and 7:28 AM? Ans: 582 Case: How many minutes are there between 4:05 PM and 2:35 AM? Ans: 630 Case: What is 490 minutes before 10:05 PM? Ans: 1:55 PM Case: How many minutes are there between 3:56 AM and 7:54 AM? Ans: 238 Case: How many minutes are there between 3:00 PM and 1:24 AM? Ans: 624 Case: What is 660 minutes before 8:20 PM? Ans: 9:20 AM Case: What is 445 minutes before 3:25 AM? Ans: 8:00 PM Case: What is 502 minutes after 4:59 AM? Ans: 1:21 PM Case: How many minutes are there between 3:08 AM and 1:05 PM? Ans: 597 Case: What is 96 minutes before 11:22 AM? Ans: 9:46 AM Case: What is 709 minutes after 7:37 PM? Ans: 7:26 AM Case: How many minutes are there between 11:31 AM and 4:51 PM? Ans: 320 Case: How many minutes are there between 12:33 AM and 7:07 AM? Ans: 394 Case: What is 675 minutes after 4:05 PM? Ans: 3:20 AM Case: What is 325 minutes after 7:47 AM? Ans: 1:12 PM Case: What is 525 minutes after 6:23 AM? Ans: 3:08 PM Case: What is 418 minutes before 9:07 AM? Ans: 2:09 AM Case: How many minutes are there between 3:30 AM and 7:42 AM? Ans: 252 Case: How many minutes are there between 11:41 PM and 10:04 AM? Ans: 623 Case: How many minutes are there between 8:46 PM and 10:24 PM? Ans: 98 Case: What is 59 minutes after 5:43 PM? Ans: 6:42 PM Case: How many minutes are there between 10:39 AM and 2:53 PM? Ans: 254 Case: What is 88 minutes after 7:57 AM? Ans: 9:25 AM Case: How many minutes are there between 9:5
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numbers: is prime ----------------- Subject: Is 3817601563 composite? Result: True Subject: Is 15015520799 a composite number? Result: False Subject: Is 174297031 composite? Result: False Subject: Is 56067878501 a prime number? Result: False Subject: Is 1010343251 a composite number? Result: True Subject: Is 295039463 a composite number? Result: True Subject: Is 928453 prime? Result: True Subject: Is 46698937 a composite number? Result: True Subject: Is 989717 a prime number? Result: False Subject: Is 169183 a composite number? Result: True Subject: Is 10222279 prime? Result: True Subject: Is 48551933 composite? Result: False Subject: Is 8888995 prime? Result: False Subject: Is 3062435653 prime? Result: True Subject: Is 87464590027 a composite number? Result: True Subject: Is 11135401 composite? Result: False Subject: Is 9463427 prime? Result: True Subject: Is 264096367 a prime number? Result: True Subject: Is 205732463 composite? Result: False Subject: Is 24378267007 a composite number? Result: False Subject: Is 11579 composite? Result: False Subject: Is 34267 a composite number? Result: False Subject: Is 67421 prime? Result: True Subject: Is 91673 composite? Result: False Subject: Is 326033 composite? Result: True Subject: Is 17830697 composite? Result: True Subject: Is 393 a prime number? Result: False Subject: Is 7064055967 composite? Result: False Subject: Is 47101949 a prime number? Result: True Subject: Is 2100576727 composite? Result: True Subject: Is 118598717 prime? Result: True Subject: Is 28064957 prime? Result: False Subject: Is 747074249 a composite number? Result: True Subject: Is 12270133 a composite number? Result: False Subject: Is 163 a composite number? Result: False Subject: Is 94154057 prime? Result: True Subject: Is 2263616711 a composite number? Result: True Subject: Is 5232187 a composite number? Result: False Subject: Is 33813721 prime? Result: True Subject: Is 12653 a prime number? Result: True Subject: Is 128543 composite? Result: True Su
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numbers: div remainder ---------------------- Q-: Calculate the remainder when 94989293 is divided by 700. Calculation: 693 Q-: Calculate the remainder when 4255 is divided by 43. Calculation: 41 Q-: Calculate the remainder when 1574987 is divided by 214. Calculation: 161 Q-: What is the remainder when 3004 is divided by 2760? Calculation: 244 Q-: Calculate the remainder when 1104952 is divided by 28. Calculation: 16 Q-: What is the remainder when 57054 is divided by 935? Calculation: 19 Q-: What is the remainder when 773102 is divided by 154610? Calculation: 52 Q-: Calculate the remainder when 423796 is divided by 222. Calculation: 220 Q-: Calculate the remainder when 412860 is divided by 520. Calculation: 500 Q-: Calculate the remainder when 108 is divided by 33. Calculation: 9 Q-: What is the remainder when 2203 is divided by 76? Calculation: 75 Q-: What is the remainder when 935 is divided by 14? Calculation: 11 Q-: What is the remainder when 2787 is divided by 164? Calculation: 163 Q-: Calculate the remainder when 183566 is divided by 298. Calculation: 296 Q-: Calculate the remainder when 823 is divided by 8. Calculation: 7 Q-: Calculate the remainder when 3582156 is divided by 46. Calculation: 44 Q-: What is the remainder when 191259 is divided by 6293? Calculation: 2469 Q-: Calculate the remainder when 127442 is divided by 42456. Calculation: 74 Q-: What is the remainder when 1672380 is divided by 4311? Calculation: 4023 Q-: Calculate the remainder when 1821 is divided by 1677. Calculation: 144 Q-: What is the remainder when 290721 is divided by 47? Calculation: 26 Q-: Calculate the remainder when 1133 is divided by 71. Calculation: 68 Q-: Calculate the remainder when 1187309007 is divided by 201. Calculation: 198 Q-: Calculate the remainder when 2078162 is divided by 2077627. Calculation: 535 Q-: What is the remainder when 2684 is divided by 1212? Calculation: 260 Q-: What is the remainder when 6792 is divided by 847? Calculation: 16 Q-: Calculate the remain
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probability: swr p sequence --------------------------- Qn: Two letters picked without replacement from {w: 1, d: 2, a: 4, k: 1, h: 1}. What is prob of sequence kw? Gives: 1/72 Qn: What is prob of sequence dllq when four letters picked without replacement from {z: 4, d: 8, l: 4, q: 4}? Gives: 16/4845 Qn: Calculate prob of sequence an when two letters picked without replacement from aanaanaaaaaa. Gives: 5/33 Qn: Calculate prob of sequence gq when two letters picked without replacement from qqqqqgqqqqqqqggqqq. Gives: 5/34 Qn: Four letters picked without replacement from dfffffdffddffd. Give prob of sequence fddd. Gives: 45/2002 Qn: Three letters picked without replacement from gawwg. Give prob of sequence wag. Gives: 1/15 Qn: Four letters picked without replacement from cvevjccceeeeeee. What is prob of sequence vcvc? Gives: 1/1365 Qn: Two letters picked without replacement from iimssmnsssiin. What is prob of sequence ms? Gives: 5/78 Qn: What is prob of sequence kg when two letters picked without replacement from {g: 3, k: 1, b: 11}? Gives: 1/70 Qn: Four letters picked without replacement from prpr. Give prob of sequence prpr. Gives: 1/6 Qn: What is prob of sequence cf when two letters picked without replacement from zzddcfdudfcc? Gives: 1/22 Qn: Three letters picked without replacement from {g: 3, e: 5}. Give prob of sequence egg. Gives: 5/56 Qn: Two letters picked without replacement from {b: 3, l: 1, x: 1, s: 3, h: 2, m: 7}. What is prob of sequence hx? Gives: 1/136 Qn: Four letters picked without replacement from eeieuineeeneiueuieu. What is prob of sequence eenn? Gives: 1/646 Qn: What is prob of sequence ctkk when four letters picked without replacement from {m: 1, c: 1, g: 1, k: 2, b: 1, t: 1}? Gives: 1/420 Qn: Three letters picked without replacement from uuhuuhuqhc. What is prob of sequence huh? Gives: 1/24 Qn: What is prob of sequence hyhy when four letters picked without replacement from yyhyyhhyyyh? Gives: 7/110 Qn: Four letters picked without replacement fr
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arithmetic: nearest integer root -------------------------------- Situation: What is 15033 to the power of 1/8, to the nearest integer? Calculation: 3 Situation: What is the seventh root of 617546943 to the nearest integer? Calculation: 18 Situation: What is 1507 to the power of 1/2, to the nearest integer? Calculation: 39 Situation: What is 2311288 to the power of 1/7, to the nearest integer? Calculation: 8 Situation: What is 3060 to the power of 1/2, to the nearest integer? Calculation: 55 Situation: What is the square root of 100709 to the nearest integer? Calculation: 317 Situation: What is 1934 to the power of 1/5, to the nearest integer? Calculation: 5 Situation: What is 42859 to the power of 1/5, to the nearest integer? Calculation: 8 Situation: What is 964325 to the power of 1/2, to the nearest integer? Calculation: 982 Situation: What is 2178712735 to the power of 1/9, to the nearest integer? Calculation: 11 Situation: What is the third root of 5339012 to the nearest integer? Calculation: 175 Situation: What is the seventh root of 4290843654 to the nearest integer? Calculation: 24 Situation: What is 46229862 to the power of 1/6, to the nearest integer? Calculation: 19 Situation: What is the sixth root of 53052 to the nearest integer? Calculation: 6 Situation: What is the square root of 157547295 to the nearest integer? Calculation: 12552 Situation: What is 1915818 to the power of 1/2, to the nearest integer? Calculation: 1384 Situation: What is 1409 to the power of 1/6, to the nearest integer? Calculation: 3 Situation: What is the fourth root of 27442 to the nearest integer? Calculation: 13 Situation: What is 430 to the power of 1/2, to the nearest integer? Calculation: 21 Situation: What is the ninth root of 2970 to the nearest integer? Calculation: 2 Situation: What is 52 to the power of 1/3, to the nearest integer? Calculation: 4 Situation: What is 104552312 to the power of 1/3, to the nearest integer? Calculation: 471 Situation: What is 1062 to the powe
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probability: swr p sequence --------------------------- Given: Two letters picked without replacement from {d: 2, b: 5, l: 3}. What is prob of sequence db? = : 1/9 Given: Four letters picked without replacement from ghgztgxggwzgxghzg. Give prob of sequence htgh. = : 1/3570 Given: Calculate prob of sequence kg when two letters picked without replacement from {k: 1, g: 2}. = : 1/3 Given: Calculate prob of sequence dld when three letters picked without replacement from jrddjttjtl. = : 1/360 Given: Three letters picked without replacement from hqlqjhk. Give prob of sequence lqk. = : 1/105 Given: Three letters picked without replacement from wqkwhvkrwhrk. What is prob of sequence wrr? = : 1/220 Given: Three letters picked without replacement from tggttataaatattt. What is prob of sequence tga? = : 8/273 Given: Four letters picked without replacement from bcciixcbcccxbxbibb. What is prob of sequence iibc? = : 1/340 Given: Four letters picked without replacement from {w: 10}. What is prob of sequence wwww? = : 1 Given: Calculate prob of sequence heg when three letters picked without replacement from iegihhgeehiiiiiii. = : 3/680 Given: What is prob of sequence ww when two letters picked without replacement from {g: 2, w: 17}? = : 136/171 Given: Calculate prob of sequence gt when two letters picked without replacement from {t: 4, e: 3, g: 1}. = : 1/14 Given: Three letters picked without replacement from nnkkngng. What is prob of sequence kgg? = : 1/84 Given: Four letters picked without replacement from {c: 2, n: 3, a: 10}. What is prob of sequence ancc? = : 1/546 Given: What is prob of sequence ix when two letters picked without replacement from {x: 6, l: 2, m: 2, i: 10}? = : 3/19 Given: Calculate prob of sequence ll when two letters picked without replacement from lthlllxtlltlhlhtllh. = : 5/19 Given: Two letters picked without replacement from {b: 1, i: 1, t: 1, d: 1, c: 4}. What is prob of sequence bt? = : 1/56 Given: Calculate prob of sequence sz when two letters picked wi
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numbers: is prime ----------------- Statement: Is 224993 a composite number? A: False Statement: Is 28214227519 a composite number? A: False Statement: Is 498749263 a prime number? A: False Statement: Is 2898696637 composite? A: True Statement: Is 1729639 a prime number? A: False Statement: Is 271253321 prime? A: True Statement: Is 959407 prime? A: False Statement: Is 251041 composite? A: True Statement: Is 348311 composite? A: True Statement: Is 229360121 prime? A: False Statement: Is 418273 a composite number? A: False Statement: Is 15941 a prime number? A: False Statement: Is 574447135 composite? A: True Statement: Is 40755454351 a prime number? A: True Statement: Is 9337 a prime number? A: True Statement: Is 7506481 a composite number? A: True Statement: Is 6369149 prime? A: True Statement: Is 38639 prime? A: True Statement: Is 1884053 prime? A: True Statement: Is 45143 a composite number? A: True Statement: Is 91743311 a prime number? A: False Statement: Is 18035819 a prime number? A: True Statement: Is 963006943 prime? A: True Statement: Is 167537 a prime number? A: True Statement: Is 3352064557 prime? A: False Statement: Is 2370723 prime? A: False Statement: Is 922523689 composite? A: False Statement: Is 12701138227 composite? A: False Statement: Is 405947 prime? A: True Statement: Is 12179 a composite number? A: True Statement: Is 15466387253 a prime number? A: True Statement: Is 19157 composite? A: False Statement: Is 31380782893 prime? A: True Statement: Is 25074443 a composite number? A: True Statement: Is 1131653 a prime number? A: True Statement: Is 384784451 a composite number? A: False Statement: Is 7805322677 a composite number? A: False Statement: Is 1951283 composite? A: True Statement: Is 4093940759 composite? A: True Statement: Is 34945833883 prime? A: True Statement: Is 92255815697 prime? A: True Statement: Is 5091 a composite number? A: True Statement: Is 4568558089 composite? A: True Statement: Is 29959589 a composite number? A: True Statement
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numbers: div remainder ---------------------- Exercise: What is the remainder when 164 is divided by 72? Sol: 20 Exercise: What is the remainder when 314 is divided by 15? Sol: 14 Exercise: What is the remainder when 13085 is divided by 154? Sol: 149 Exercise: Calculate the remainder when 599163 is divided by 1926. Sol: 177 Exercise: Calculate the remainder when 3039 is divided by 2882. Sol: 157 Exercise: What is the remainder when 3603 is divided by 83? Sol: 34 Exercise: What is the remainder when 12210 is divided by 101? Sol: 90 Exercise: What is the remainder when 568 is divided by 353? Sol: 215 Exercise: Calculate the remainder when 883 is divided by 442. Sol: 441 Exercise: What is the remainder when 174879 is divided by 36? Sol: 27 Exercise: What is the remainder when 90337524 is divided by 47? Sol: 46 Exercise: What is the remainder when 7058 is divided by 504? Sol: 2 Exercise: Calculate the remainder when 2600 is divided by 1299. Sol: 2 Exercise: Calculate the remainder when 217451 is divided by 118. Sol: 95 Exercise: Calculate the remainder when 1348033 is divided by 1105. Sol: 1038 Exercise: Calculate the remainder when 45 is divided by 10. Sol: 5 Exercise: What is the remainder when 158347 is divided by 39405? Sol: 727 Exercise: What is the remainder when 725 is divided by 104? Sol: 101 Exercise: What is the remainder when 184 is divided by 31? Sol: 29 Exercise: What is the remainder when 317 is divided by 64? Sol: 61 Exercise: What is the remainder when 29379 is divided by 482? Sol: 459 Exercise: What is the remainder when 170 is divided by 28? Sol: 2 Exercise: What is the remainder when 10384 is divided by 14? Sol: 10 Exercise: What is the remainder when 62926269 is divided by 748? Sol: 21 Exercise: What is the remainder when 493 is divided by 21? Sol: 10 Exercise: Calculate the remainder when 321 is divided by 106. Sol: 3 Exercise: Calculate the remainder when 301 is divided by 103. Sol: 95 Exercise: What is the remainder when 77280 is divided by 77275?
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numbers: place value -------------------- Query: What is the units digit of 130346995? Gives: 5 Query: What is the ten thousands digit of 11234? Gives: 1 Query: What is the units digit of 454602813? Gives: 3 Query: What is the tens digit of 29560009? Gives: 0 Query: What is the hundred thousands digit of 2491958? Gives: 4 Query: What is the units digit of 977? Gives: 7 Query: What is the units digit of 7603? Gives: 3 Query: What is the ten thousands digit of 26314? Gives: 2 Query: What is the units digit of 438673? Gives: 3 Query: What is the tens digit of 56536202? Gives: 0 Query: What is the ten thousands digit of 8603100? Gives: 0 Query: What is the tens digit of 3636944? Gives: 4 Query: What is the hundred thousands digit of 319831591? Gives: 8 Query: What is the tens digit of 21247? Gives: 4 Query: What is the units digit of 12836416? Gives: 6 Query: What is the thousands digit of 5397123? Gives: 7 Query: What is the tens digit of 2204833368? Gives: 6 Query: What is the ten thousands digit of 473341960? Gives: 4 Query: What is the hundreds digit of 90301? Gives: 3 Query: What is the hundreds digit of 147? Gives: 1 Query: What is the ten thousands digit of 193093245? Gives: 9 Query: What is the tens digit of 1306788? Gives: 8 Query: What is the hundreds digit of 320246557? Gives: 5 Query: What is the units digit of 478630056? Gives: 6 Query: What is the thousands digit of 5485? Gives: 5 Query: What is the ten thousands digit of 41952362? Gives: 5 Query: What is the hundreds digit of 82955? Gives: 9 Query: What is the ten thousands digit of 44464? Gives: 4 Query: What is the tens digit of 1154? Gives: 5 Query: What is the thousands digit of 401994419? Gives: 4 Query: What is the ten thousands digit of 11054? Gives: 1 Query: What is the hundred thousands digit of 3974243618? Gives: 2 Query: What is the ten thousands digit of 1026967561? Gives: 6 Query: What is the tens digit of 141? Gives: 4 Query: What is the tens digit of 4222? Gives: 2 Query: What is the hundre
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probability: swr p sequence --------------------------- Let: Three letters picked without replacement from {f: 1, e: 2, d: 2}. Give prob of sequence dfe. A: 1/15 Let: Calculate prob of sequence ppl when three letters picked without replacement from {l: 5, p: 9}. A: 15/91 Let: Two letters picked without replacement from {l: 1, m: 2}. What is prob of sequence lm? A: 1/3 Let: What is prob of sequence ffo when three letters picked without replacement from {f: 10, o: 10}? A: 5/38 Let: Calculate prob of sequence kpp when three letters picked without replacement from {k: 2, p: 9}. A: 8/55 Let: What is prob of sequence cd when two letters picked without replacement from cddd? A: 1/4 Let: What is prob of sequence oo when two letters picked without replacement from {w: 2, o: 4}? A: 2/5 Let: Two letters picked without replacement from {j: 9, n: 7}. Give prob of sequence nj. A: 21/80 Let: Calculate prob of sequence hus when three letters picked without replacement from huuuusohuhuuh. A: 7/429 Let: Calculate prob of sequence uvuv when four letters picked without replacement from {v: 3, u: 12}. A: 11/455 Let: Four letters picked without replacement from {q: 1, j: 3, o: 1, u: 3, t: 2}. Give prob of sequence outu. A: 1/420 Let: Two letters picked without replacement from {f: 17, v: 1}. What is prob of sequence fv? A: 1/18 Let: What is prob of sequence brer when four letters picked without replacement from erssberrrberrrsprb? A: 7/1020 Let: Four letters picked without replacement from {q: 15, t: 4}. What is prob of sequence qqtt? A: 35/1292 Let: Two letters picked without replacement from {c: 2, d: 9, x: 6}. Give prob of sequence cx. A: 3/68 Let: Three letters picked without replacement from nqoqqqqqqn. What is prob of sequence onn? A: 1/360 Let: Three letters picked without replacement from rrj. Give prob of sequence rjr. A: 1/3 Let: Calculate prob of sequence do when two letters picked without replacement from dddodddd. A: 1/8 Let: Two letters picked without replacement from {u: 7
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measurement: conversion ----------------------- Prompt: What is 51/2 of a gram in milligrams? Ans: 25500 Prompt: What is one tenth of a litre in millilitres? Ans: 100 Prompt: How many meters are there in one tenth of a kilometer? Ans: 100 Prompt: How many micrometers are there in 1/4 of a millimeter? Ans: 250 Prompt: How many nanograms are there in 3/5 of a microgram? Ans: 600 Prompt: How many decades are there in nine tenths of a millennium? Ans: 90 Prompt: What is seven eighths of a decade in months? Ans: 105 Prompt: What is one fifth of a microgram in nanograms? Ans: 200 Prompt: How many nanograms are there in one fifth of a microgram? Ans: 200 Prompt: How many meters are there in three tenths of a kilometer? Ans: 300 Prompt: Convert 6669.331ml to litres. Ans: 6.669331 Prompt: What is 833142.6 kilograms in micrograms? Ans: 833142600000000 Prompt: What is twenty-five halves of a millennium in years? Ans: 12500 Prompt: What is 3/8 of a kilometer in meters? Ans: 375 Prompt: What is 13/5 of a millennium in centuries? Ans: 26 Prompt: What is eleven eighths of a microsecond in nanoseconds? Ans: 1375 Prompt: Convert 35031.36 millilitres to litres. Ans: 35.03136 Prompt: What is two fifteenths of a decade in months? Ans: 16 Prompt: How many months are there in one sixth of a year? Ans: 2 Prompt: What is 43360.2 millilitres in litres? Ans: 43.3602 Prompt: What is 17/2 of a millennium in decades? Ans: 850 Prompt: How many nanometers are there in eighteen fifths of a micrometer? Ans: 3600 Prompt: What is 5/4 of a kilogram in grams? Ans: 1250 Prompt: Convert 4.353232 centimeters to meters. Ans: 0.04353232 Prompt: What is twenty-nine halves of a microgram in nanograms? Ans: 14500 Prompt: How many micrograms are there in 48/5 of a milligram? Ans: 9600 Prompt: What is 47/4 of a micrometer in nanometers? Ans: 11750 Prompt: Convert 2.8694115 milliseconds to hours. Ans: 0.00000079705875 Prompt: How many millilitres are there in 96.37483 litres? Ans: 96374.83 Prompt: What is twenty-
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measurement: time ----------------- Problem: What is 670 minutes before 8:42 PM? Response: 9:32 AM Problem: How many minutes are there between 9:10 AM and 7:07 PM? Response: 597 Problem: What is 488 minutes before 12:20 AM? Response: 4:12 PM Problem: How many minutes are there between 4:37 AM and 9:30 AM? Response: 293 Problem: What is 482 minutes after 7:59 PM? Response: 4:01 AM Problem: How many minutes are there between 8:30 PM and 10:45 PM? Response: 135 Problem: What is 682 minutes before 10:50 AM? Response: 11:28 PM Problem: What is 33 minutes before 3:25 AM? Response: 2:52 AM Problem: What is 462 minutes after 2:24 AM? Response: 10:06 AM Problem: How many minutes are there between 1:01 PM and 4:15 PM? Response: 194 Problem: How many minutes are there between 3:49 PM and 12:56 AM? Response: 547 Problem: What is 253 minutes before 6:16 AM? Response: 2:03 AM Problem: What is 53 minutes before 9:51 PM? Response: 8:58 PM Problem: How many minutes are there between 10:57 AM and 1:19 PM? Response: 142 Problem: What is 547 minutes after 2:05 AM? Response: 11:12 AM Problem: How many minutes are there between 12:01 PM and 9:20 PM? Response: 559 Problem: What is 40 minutes after 10:13 AM? Response: 10:53 AM Problem: How many minutes are there between 12:46 PM and 10:42 PM? Response: 596 Problem: How many minutes are there between 10:35 PM and 9:55 AM? Response: 680 Problem: How many minutes are there between 8:31 PM and 1:29 AM? Response: 298 Problem: How many minutes are there between 4:55 AM and 3:22 PM? Response: 627 Problem: How many minutes are there between 8:08 PM and 9:50 PM? Response: 102 Problem: What is 597 minutes after 5:12 AM? Response: 3:09 PM Problem: What is 488 minutes after 6:33 PM? Response: 2:41 AM Problem: What is 630 minutes after 1:00 AM? Response: 11:30 AM Problem: What is 202 minutes after 3:21 AM? Response: 6:43 AM Problem: What is 353 minutes before 2:56 AM? Response: 9:03 PM Problem: What is 399 minutes after 3:11 AM? Response: 9:50 AM Probl
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measurement: conversion ----------------------- Issue: How many meters are there in 73.49223um? Result: 0.00007349223 Issue: What is 11/2 of a microgram in nanograms? Result: 5500 Issue: How many litres are there in 6358.269ml? Result: 6.358269 Issue: What is twenty-one halves of a centimeter in millimeters? Result: 105 Issue: What is sixty-four fifths of a century in months? Result: 15360 Issue: How many nanoseconds are there in 29/5 of a microsecond? Result: 5800 Issue: What is 1.4745262 days in weeks? Result: 0.2106466 Issue: How many millilitres are there in one fifth of a litre? Result: 200 Issue: What is 25/2 of a microsecond in nanoseconds? Result: 12500 Issue: How many milliseconds are there in 3422.266 nanoseconds? Result: 0.003422266 Issue: What is one twentieth of a millimeter in nanometers? Result: 50000 Issue: What is 17/4 of a hour in minutes? Result: 255 Issue: What is 8/25 of a micrometer in nanometers? Result: 320 Issue: How many milligrams are there in thirteen quarters of a gram? Result: 3250 Issue: What is 7/2 of a milligram in micrograms? Result: 3500 Issue: How many seconds are there in 40.94242 hours? Result: 147392.712 Issue: How many months are there in three eighths of a century? Result: 450 Issue: How many millilitres are there in seventeen halves of a litre? Result: 8500 Issue: How many millilitres are there in five eighths of a litre? Result: 625 Issue: Convert 26899.7l to millilitres. Result: 26899700 Issue: How many milligrams are there in 7/25 of a gram? Result: 280 Issue: What is one quarter of a decade in months? Result: 30 Issue: How many nanometers are there in 0.6194769m? Result: 619476900 Issue: How many hours are there in 96561.54 nanoseconds? Result: 0.00000002682265 Issue: How many micrometers are there in 5/8 of a millimeter? Result: 625 Issue: What is 9/10 of a kilometer in meters? Result: 900 Issue: Convert 5993604.9 microseconds to hours. Result: 0.00166489025 Issue: How many millimeters are there in twenty-one halves of
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measurement: conversion ----------------------- Q.: What is fourty-five halves of a litre in millilitres? Workthrough: 22500 Q.: What is 71.96743 millimeters in meters? Workthrough: 0.07196743 Q.: How many grams are there in 478505.4mg? Workthrough: 478.5054 Q.: What is seven sixths of a century in months? Workthrough: 1400 Q.: How many years are there in 1.210276 millennia? Workthrough: 1210.276 Q.: How many meters are there in three tenths of a kilometer? Workthrough: 300 Q.: How many nanoseconds are there in 1/10 of a millisecond? Workthrough: 100000 Q.: What is 445.4009 micrometers in millimeters? Workthrough: 0.4454009 Q.: What is 52.95013 years in centuries? Workthrough: 0.5295013 Q.: What is 859562.5 millilitres in litres? Workthrough: 859.5625 Q.: How many months are there in 5.59823 millennia? Workthrough: 67178.76 Q.: How many kilograms are there in 3/40 of a tonne? Workthrough: 75 Q.: How many millilitres are there in 1/4 of a litre? Workthrough: 250 Q.: What is 156150.4cm in meters? Workthrough: 1561.504 Q.: How many minutes are there in three eighths of a day? Workthrough: 540 Q.: How many millilitres are there in three fifths of a litre? Workthrough: 600 Q.: What is one tenth of a millennium in decades? Workthrough: 10 Q.: What is 32/5 of a meter in millimeters? Workthrough: 6400 Q.: What is 6/5 of a litre in millilitres? Workthrough: 1200 Q.: How many millilitres are there in twenty-one eighths of a litre? Workthrough: 2625 Q.: What is fourty-four fifths of a meter in millimeters? Workthrough: 8800 Q.: How many months are there in 16/15 of a millennium? Workthrough: 12800 Q.: What is 3/50 of a litre in millilitres? Workthrough: 60 Q.: How many micrograms are there in 0.2117961mg? Workthrough: 211.7961 Q.: What is 9.912466 millilitres in litres? Workthrough: 0.009912466 Q.: What is 22946.622 months in centuries? Workthrough: 19.122185 Q.: How many millilitres are there in 3/8 of a litre? Workthrough: 375 Q.: How many minutes are there in 29/3 of a day?
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measurement: time ----------------- Scenario: What is 410 minutes after 4:12 PM? Workthrough: 11:02 PM Scenario: How many minutes are there between 11:47 AM and 12:50 PM? Workthrough: 63 Scenario: What is 44 minutes before 2:12 PM? Workthrough: 1:28 PM Scenario: What is 302 minutes after 3:29 AM? Workthrough: 8:31 AM Scenario: What is 137 minutes before 11:50 PM? Workthrough: 9:33 PM Scenario: What is 592 minutes before 1:56 AM? Workthrough: 4:04 PM Scenario: What is 505 minutes before 1:08 AM? Workthrough: 4:43 PM Scenario: How many minutes are there between 7:39 AM and 10:50 AM? Workthrough: 191 Scenario: What is 481 minutes before 9:44 PM? Workthrough: 1:43 PM Scenario: How many minutes are there between 3:34 AM and 3:24 PM? Workthrough: 710 Scenario: What is 607 minutes after 9:44 AM? Workthrough: 7:51 PM Scenario: How many minutes are there between 11:08 PM and 9:19 AM? Workthrough: 611 Scenario: How many minutes are there between 6:48 AM and 8:48 AM? Workthrough: 120 Scenario: How many minutes are there between 9:51 AM and 1:51 PM? Workthrough: 240 Scenario: How many minutes are there between 11:30 PM and 10:25 AM? Workthrough: 655 Scenario: How many minutes are there between 1:01 AM and 11:53 AM? Workthrough: 652 Scenario: How many minutes are there between 12:48 PM and 8:26 PM? Workthrough: 458 Scenario: What is 652 minutes after 5:00 AM? Workthrough: 3:52 PM Scenario: How many minutes are there between 2:16 AM and 6:29 AM? Workthrough: 253 Scenario: What is 50 minutes before 8:35 PM? Workthrough: 7:45 PM Scenario: How many minutes are there between 3:49 PM and 7:11 PM? Workthrough: 202 Scenario: How many minutes are there between 12:52 PM and 11:35 PM? Workthrough: 643 Scenario: How many minutes are there between 4:53 PM and 11:47 PM? Workthrough: 414 Scenario: How many minutes are there between 7:49 PM and 2:57 AM? Workthrough: 428 Scenario: What is 167 minutes after 5:38 AM? Workthrough: 8:25 AM Scenario: How many minutes are there between 1:22 AM and 7:3
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probability: swr p sequence --------------------------- Qn: Two letters picked without replacement from {p: 2, e: 1, z: 6, j: 2}. What is prob of sequence ep? Conclusion: 1/55 Qn: Calculate prob of sequence uk when two letters picked without replacement from {k: 1, l: 4, q: 2, u: 2, h: 5}. Conclusion: 1/91 Qn: What is prob of sequence rro when three letters picked without replacement from rorohoodhhr? Conclusion: 4/165 Qn: Calculate prob of sequence xpa when three letters picked without replacement from apnaanxaa. Conclusion: 5/504 Qn: Calculate prob of sequence iecc when four letters picked without replacement from {e: 1, c: 12, i: 3}. Conclusion: 33/3640 Qn: Calculate prob of sequence vqv when three letters picked without replacement from lmvvvblqvvvbmqvbvvl. Conclusion: 8/323 Qn: Two letters picked without replacement from {d: 1, u: 2, j: 1, q: 9, f: 5}. Give prob of sequence jf. Conclusion: 5/306 Qn: What is prob of sequence ppex when four letters picked without replacement from {e: 3, x: 6, p: 8}? Conclusion: 3/170 Qn: Two letters picked without replacement from {c: 1, e: 1, b: 1, p: 1, m: 1}. What is prob of sequence bm? Conclusion: 1/20 Qn: What is prob of sequence vi when two letters picked without replacement from iviiimiimipip? Conclusion: 2/39 Qn: Four letters picked without replacement from llmmllmmmlll. Give prob of sequence mlmm. Conclusion: 7/198 Qn: Four letters picked without replacement from bzzmbhor. What is prob of sequence zohb? Conclusion: 1/420 Qn: Three letters picked without replacement from {s: 13, p: 6}. Give prob of sequence ssp. Conclusion: 52/323 Qn: Calculate prob of sequence jfm when three letters picked without replacement from {n: 6, t: 1, f: 2, m: 3, j: 1}. Conclusion: 1/286 Qn: Two letters picked without replacement from lsj. What is prob of sequence sl? Conclusion: 1/6 Qn: Four letters picked without replacement from yxyxyxmzxmpzymmlxx. Give prob of sequence mzyz. Conclusion: 1/2295 Qn: Two letters picked without replacement from
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