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numbers: place value -------------------- Ask: What is the millions digit of 3911638? Sol: 3 Ask: What is the ten thousands digit of 37953? Sol: 3 Ask: What is the tens digit of 87271? Sol: 7 Ask: What is the ten thousands digit of 1097338? Sol: 9 Ask: What is the tens digit of 6466966? Sol: 6 Ask: What is the tens digit of 3506? Sol: 0 Ask: What is the thousands digit of 153856214? Sol: 6 Ask: What is the millions digit of 52220039? Sol: 2 Ask: What is the hundreds digit of 11427? Sol: 4 Ask: What is the ten thousands digit of 343478224? Sol: 7 Ask: What is the hundred thousands digit of 222309? Sol: 2 Ask: What is the ten thousands digit of 476865717? Sol: 6 Ask: What is the ten thousands digit of 3110341? Sol: 1 Ask: What is the ten thousands digit of 382861? Sol: 8 Ask: What is the millions digit of 721278556? Sol: 1 Ask: What is the hundreds digit of 202950? Sol: 9 Ask: What is the units digit of 7367446? Sol: 6 Ask: What is the hundreds digit of 885? Sol: 8 Ask: What is the thousands digit of 141152? Sol: 1 Ask: What is the units digit of 297? Sol: 7 Ask: What is the hundreds digit of 976? Sol: 9 Ask: What is the tens digit of 1459385? Sol: 8 Ask: What is the tens digit of 8222742? Sol: 4 Ask: What is the thousands digit of 1633001862? Sol: 1 Ask: What is the hundred thousands digit of 641938? Sol: 6 Ask: What is the ten thousands digit of 5277691111? Sol: 9 Ask: What is the hundred thousands digit of 332043? Sol: 3 Ask: What is the millions digit of 283657070? Sol: 3 Ask: What is the hundred thousands digit of 7079148? Sol: 0 Ask: What is the tens digit of 11586? Sol: 8 Ask: What is the thousands digit of 359985? Sol: 9 Ask: What is the thousands digit of 9679080? Sol: 9 Ask: What is the tens digit of 209439456? Sol: 5 Ask: What is the billions digit of 2528564506? Sol: 2 Ask: What is the hundreds digit of 7707? Sol: 7 Ask: What is the ten thousands digit of 88704998? Sol: 0 Ask: What is the tens digit of 510616768? Sol: 6 Ask: What is the ten thousands digit
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numbers: place value -------------------- Ask: What is the tens digit of 57362336? Resolution: 3 Ask: What is the units digit of 8623? Resolution: 3 Ask: What is the thousands digit of 76397? Resolution: 6 Ask: What is the hundreds digit of 251357710? Resolution: 7 Ask: What is the tens digit of 2149131? Resolution: 3 Ask: What is the thousands digit of 1786? Resolution: 1 Ask: What is the units digit of 1490386? Resolution: 6 Ask: What is the millions digit of 3057342? Resolution: 3 Ask: What is the ten thousands digit of 7689191? Resolution: 8 Ask: What is the thousands digit of 662324? Resolution: 2 Ask: What is the hundred thousands digit of 393570? Resolution: 3 Ask: What is the tens digit of 9052? Resolution: 5 Ask: What is the units digit of 28? Resolution: 8 Ask: What is the tens digit of 93? Resolution: 9 Ask: What is the tens digit of 1213? Resolution: 1 Ask: What is the units digit of 806? Resolution: 6 Ask: What is the hundreds digit of 32431989? Resolution: 9 Ask: What is the thousands digit of 13739? Resolution: 3 Ask: What is the tens digit of 116164? Resolution: 6 Ask: What is the tens digit of 605? Resolution: 0 Ask: What is the thousands digit of 1176436441? Resolution: 6 Ask: What is the ten millions digit of 25273222? Resolution: 2 Ask: What is the units digit of 4508367? Resolution: 7 Ask: What is the hundreds digit of 40829? Resolution: 8 Ask: What is the hundreds digit of 42392? Resolution: 3 Ask: What is the tens digit of 861898? Resolution: 9 Ask: What is the hundreds digit of 20795969? Resolution: 9 Ask: What is the units digit of 287813? Resolution: 3 Ask: What is the hundred thousands digit of 54137060? Resolution: 1 Ask: What is the tens digit of 133121? Resolution: 2 Ask: What is the tens digit of 752112? Resolution: 1 Ask: What is the tens digit of 3780883? Resolution: 8 Ask: What is the thousands digit of 6166? Resolution: 6 Ask: What is the hundred thousands digit of 638398? Resolution: 6 Ask: What is the units digit of 88300226? Res
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numbers: place value -------------------- Q: What is the tens digit of 833054? Soln: 5 Q: What is the thousands digit of 139514? Soln: 9 Q: What is the hundreds digit of 488? Soln: 4 Q: What is the millions digit of 241302463? Soln: 1 Q: What is the thousands digit of 33224? Soln: 3 Q: What is the tens digit of 158402? Soln: 0 Q: What is the hundreds digit of 526763437? Soln: 4 Q: What is the hundreds digit of 107263695? Soln: 6 Q: What is the ten thousands digit of 16604814? Soln: 0 Q: What is the units digit of 11706? Soln: 6 Q: What is the units digit of 6711646? Soln: 6 Q: What is the hundreds digit of 4652? Soln: 6 Q: What is the thousands digit of 11929462? Soln: 9 Q: What is the thousands digit of 1236? Soln: 1 Q: What is the ten millions digit of 371988688? Soln: 7 Q: What is the hundred thousands digit of 706654? Soln: 7 Q: What is the hundreds digit of 17767? Soln: 7 Q: What is the hundreds digit of 4027? Soln: 0 Q: What is the hundreds digit of 3391? Soln: 3 Q: What is the units digit of 850? Soln: 0 Q: What is the units digit of 3936329? Soln: 9 Q: What is the hundred millions digit of 113673143? Soln: 1 Q: What is the hundreds digit of 114635651? Soln: 6 Q: What is the ten thousands digit of 47685142? Soln: 8 Q: What is the ten thousands digit of 1310052? Soln: 1 Q: What is the thousands digit of 6748? Soln: 6 Q: What is the thousands digit of 3441? Soln: 3 Q: What is the hundreds digit of 311874? Soln: 8 Q: What is the units digit of 7484266? Soln: 6 Q: What is the ten thousands digit of 3943462? Soln: 4 Q: What is the ten thousands digit of 291549? Soln: 9 Q: What is the millions digit of 3504651? Soln: 3 Q: What is the hundred thousands digit of 22417255? Soln: 4 Q: What is the hundreds digit of 1932582361? Soln: 3 Q: What is the thousands digit of 5815? Soln: 5 Q: What is the hundred millions digit of 141766177? Soln: 1 Q: What is the hundreds digit of 18437? Soln: 4 Q: What is the hundreds digit of 342? Soln: 3 Q: What is the hundred millions digit
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numbers: is prime ----------------- Statement: Is 204749 a prime number? Soln: True Statement: Is 612076337 composite? Soln: False Statement: Is 1168205 prime? Soln: False Statement: Is 510437 prime? Soln: False Statement: Is 1247689 prime? Soln: False Statement: Is 4200661 a prime number? Soln: True Statement: Is 520631 a composite number? Soln: False Statement: Is 35238167 a composite number? Soln: True Statement: Is 1057337167 prime? Soln: True Statement: Is 207533117651 a prime number? Soln: True Statement: Is 191294483 a composite number? Soln: False Statement: Is 118042207 composite? Soln: True Statement: Is 6601081 a prime number? Soln: True Statement: Is 858127 a composite number? Soln: False Statement: Is 88201609 a prime number? Soln: False Statement: Is 76079 composite? Soln: False Statement: Is 15884417 a composite number? Soln: True Statement: Is 71405 a prime number? Soln: False Statement: Is 4064434931 a prime number? Soln: True Statement: Is 8736945991 composite? Soln: True Statement: Is 663706523 prime? Soln: True Statement: Is 36771722549 composite? Soln: True Statement: Is 8595409 prime? Soln: True Statement: Is 61715 a prime number? Soln: False Statement: Is 6089822279 a prime number? Soln: False Statement: Is 51533 a composite number? Soln: True Statement: Is 26287 a composite number? Soln: True Statement: Is 8631954323 a composite number? Soln: True Statement: Is 156684617761 composite? Soln: True Statement: Is 1623 a prime number? Soln: False Statement: Is 391 a prime number? Soln: False Statement: Is 3231873691 a composite number? Soln: False Statement: Is 1058523239 a prime number? Soln: False Statement: Is 120473 composite? Soln: False Statement: Is 11772809 a composite number? Soln: False Statement: Is 96680515 composite? Soln: True Statement: Is 47144971 composite? Soln: True Statement: Is 277354243 prime? Soln: False Statement: Is 3153529 a composite number? Soln: False Statement: Is 1598011 a composite number? Soln: False Statement: Is
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numbers: div remainder ---------------------- Problem Statement: Calculate the remainder when 144083 is divided by 25. Calculation: 8 Problem Statement: What is the remainder when 59 is divided by 6? Calculation: 5 Problem Statement: Calculate the remainder when 22443 is divided by 19563. Calculation: 2880 Problem Statement: Calculate the remainder when 31015 is divided by 211. Calculation: 209 Problem Statement: What is the remainder when 418790 is divided by 208947? Calculation: 896 Problem Statement: Calculate the remainder when 28498 is divided by 3161. Calculation: 49 Problem Statement: What is the remainder when 901 is divided by 113? Calculation: 110 Problem Statement: Calculate the remainder when 314 is divided by 51. Calculation: 8 Problem Statement: Calculate the remainder when 5288 is divided by 1749. Calculation: 41 Problem Statement: Calculate the remainder when 48870777 is divided by 184418. Calculation: 7 Problem Statement: Calculate the remainder when 193040 is divided by 9. Calculation: 8 Problem Statement: What is the remainder when 792 is divided by 51? Calculation: 27 Problem Statement: Calculate the remainder when 652737 is divided by 65114. Calculation: 1597 Problem Statement: What is the remainder when 6869139 is divided by 205? Calculation: 204 Problem Statement: What is the remainder when 14957568 is divided by 355? Calculation: 353 Problem Statement: Calculate the remainder when 313 is divided by 18. Calculation: 7 Problem Statement: What is the remainder when 222077 is divided by 95? Calculation: 62 Problem Statement: What is the remainder when 51433 is divided by 483? Calculation: 235 Problem Statement: Calculate the remainder when 36770 is divided by 103. Calculation: 102 Problem Statement: Calculate the remainder when 18717 is divided by 7968. Calculation: 2781 Problem Statement: What is the remainder when 2235889 is divided by 19? Calculation: 7 Problem Statement: What is the remainder when 115 is divided by 88? Calculation: 27 Problem
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numbers: div remainder ---------------------- Step: What is the remainder when 146692726 is divided by 801? Response: 790 Step: What is the remainder when 277 is divided by 77? Response: 46 Step: Calculate the remainder when 5672 is divided by 1344. Response: 296 Step: What is the remainder when 9973797 is divided by 181340? Response: 97 Step: What is the remainder when 210608 is divided by 385? Response: 13 Step: What is the remainder when 1117 is divided by 14? Response: 11 Step: Calculate the remainder when 255867773 is divided by 19. Response: 17 Step: What is the remainder when 423 is divided by 106? Response: 105 Step: Calculate the remainder when 273197 is divided by 40. Response: 37 Step: Calculate the remainder when 360 is divided by 93. Response: 81 Step: What is the remainder when 152 is divided by 11? Response: 9 Step: What is the remainder when 597 is divided by 256? Response: 85 Step: Calculate the remainder when 534 is divided by 207. Response: 120 Step: Calculate the remainder when 28672238 is divided by 28672217. Response: 21 Step: What is the remainder when 106063 is divided by 63? Response: 34 Step: Calculate the remainder when 54 is divided by 35. Response: 19 Step: Calculate the remainder when 7245 is divided by 403. Response: 394 Step: What is the remainder when 592 is divided by 22? Response: 20 Step: Calculate the remainder when 36409 is divided by 306. Response: 301 Step: What is the remainder when 202 is divided by 45? Response: 22 Step: What is the remainder when 6476 is divided by 41? Response: 39 Step: What is the remainder when 712637 is divided by 1083? Response: 23 Step: What is the remainder when 332 is divided by 67? Response: 64 Step: Calculate the remainder when 163 is divided by 33. Response: 31 Step: What is the remainder when 17811363 is divided by 325? Response: 63 Step: Calculate the remainder when 120241 is divided by 20038. Response: 13 Step: What is the remainder when 70682301 is divided by 1366? Response: 1363 Step: Calcu
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numbers: place value -------------------- Part A: What is the tens digit of 1150650582? Solution: 8 Part A: What is the hundred thousands digit of 13581247? Solution: 5 Part A: What is the units digit of 6369? Solution: 9 Part A: What is the thousands digit of 192280? Solution: 2 Part A: What is the millions digit of 239578137? Solution: 9 Part A: What is the thousands digit of 215954? Solution: 5 Part A: What is the tens digit of 26186587? Solution: 8 Part A: What is the ten thousands digit of 13596? Solution: 1 Part A: What is the thousands digit of 145004? Solution: 5 Part A: What is the ten thousands digit of 38671? Solution: 3 Part A: What is the hundred thousands digit of 138976633? Solution: 9 Part A: What is the thousands digit of 2676? Solution: 2 Part A: What is the ten thousands digit of 6972411? Solution: 7 Part A: What is the ten thousands digit of 701227? Solution: 0 Part A: What is the thousands digit of 309527119? Solution: 7 Part A: What is the hundreds digit of 1117? Solution: 1 Part A: What is the tens digit of 44629? Solution: 2 Part A: What is the hundred millions digit of 642651906? Solution: 6 Part A: What is the tens digit of 5852? Solution: 5 Part A: What is the thousands digit of 1528950674? Solution: 0 Part A: What is the units digit of 603278? Solution: 8 Part A: What is the hundred thousands digit of 41543916? Solution: 5 Part A: What is the tens digit of 22877? Solution: 7 Part A: What is the ten millions digit of 704448290? Solution: 0 Part A: What is the ten thousands digit of 27314? Solution: 2 Part A: What is the thousands digit of 6180? Solution: 6 Part A: What is the hundreds digit of 1007048? Solution: 0 Part A: What is the hundreds digit of 2736734143? Solution: 1 Part A: What is the hundred thousands digit of 4929336? Solution: 9 Part A: What is the hundreds digit of 52600123? Solution: 1 Part A: What is the thousands digit of 1435? Solution: 1 Part A: What is the units digit of 15687? Solution: 7 Part A: What is the hundred th
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numbers: is factor ------------------ Problem: Is 34 a factor of 687? Yields: False Problem: Does 7 divide 2059? Yields: False Problem: Is 183 a factor of 31842? Yields: True Problem: Does 1893 divide 18842285? Yields: False Problem: Does 391 divide 464724614? Yields: True Problem: Is 30 a factor of 93240? Yields: True Problem: Is 8184378 a multiple of 17? Yields: True Problem: Is 48768188 a multiple of 287? Yields: True Problem: Is 47 a factor of 726? Yields: False Problem: Is 20189 a multiple of 115? Yields: False Problem: Does 855 divide 730170? Yields: True Problem: Is 19 a factor of 5410? Yields: False Problem: Does 115 divide 9341805? Yields: False Problem: Does 45 divide 402075? Yields: True Problem: Is 181673177 a multiple of 13? Yields: False Problem: Does 15 divide 9918? Yields: False Problem: Does 10 divide 9282? Yields: False Problem: Is 13 a factor of 2385? Yields: False Problem: Is 22 a factor of 2134? Yields: True Problem: Does 11 divide 3355000? Yields: True Problem: Is 7815 a multiple of 81? Yields: False Problem: Is 5371 a multiple of 41? Yields: True Problem: Is 20220250 a multiple of 290? Yields: True Problem: Is 11 a factor of 2241? Yields: False Problem: Is 96 a factor of 1252358208? Yields: True Problem: Is 23318 a multiple of 178? Yields: True Problem: Does 41 divide 246? Yields: True Problem: Is 127 a factor of 19664807? Yields: True Problem: Is 190373022 a multiple of 126? Yields: True Problem: Is 18 a factor of 3055? Yields: False Problem: Is 31 a factor of 15991292? Yields: False Problem: Is 1559 a factor of 116890702? Yields: True Problem: Is 24 a factor of 4154883360? Yields: True Problem: Is 953856 a multiple of 768? Yields: True Problem: Is 10 a factor of 36552460? Yields: True Problem: Does 18 divide 407348? Yields: False Problem: Does 29 divide 780370? Yields: False Problem: Does 12 divide 4553? Yields: False Problem: Is 51 a factor of 7089? Yields: True Problem: Is 335664688 a multiple of 24? Yields: False Problem: Is 18 a factor o
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arithmetic: nearest integer root -------------------------------- Challenge: What is 109897212 to the power of 1/2, to the nearest integer? Outcome: 10483 Challenge: What is the square root of 1059665 to the nearest integer? Outcome: 1029 Challenge: What is the square root of 217200140 to the nearest integer? Outcome: 14738 Challenge: What is the sixth root of 6790765 to the nearest integer? Outcome: 14 Challenge: What is 30883866 to the power of 1/2, to the nearest integer? Outcome: 5557 Challenge: What is 614217 to the power of 1/2, to the nearest integer? Outcome: 784 Challenge: What is the tenth root of 268225859 to the nearest integer? Outcome: 7 Challenge: What is the square root of 1370302077 to the nearest integer? Outcome: 37018 Challenge: What is 232274403 to the power of 1/2, to the nearest integer? Outcome: 15241 Challenge: What is 16073187 to the power of 1/6, to the nearest integer? Outcome: 16 Challenge: What is 706 to the power of 1/2, to the nearest integer? Outcome: 27 Challenge: What is 104646 to the power of 1/9, to the nearest integer? Outcome: 4 Challenge: What is the tenth root of 33439 to the nearest integer? Outcome: 3 Challenge: What is the sixth root of 1509011012 to the nearest integer? Outcome: 34 Challenge: What is the tenth root of 474115 to the nearest integer? Outcome: 4 Challenge: What is the square root of 1456097 to the nearest integer? Outcome: 1207 Challenge: What is 332254072 to the power of 1/7, to the nearest integer? Outcome: 16 Challenge: What is 969 to the power of 1/3, to the nearest integer? Outcome: 10 Challenge: What is 35506900 to the power of 1/3, to the nearest integer? Outcome: 329 Challenge: What is the fifth root of 182203192 to the nearest integer? Outcome: 45 Challenge: What is the ninth root of 110161 to the nearest integer? Outcome: 4 Challenge: What is the third root of 233007 to the nearest integer? Outcome: 62 Challenge: What is 104 to the power of 1/6, to the nearest integer? Outcome: 2 Challenge: What is
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numbers: gcd ------------ Question: Calculate the highest common divisor of 14438810 and 1450. Conclusion: 290 Question: Calculate the highest common divisor of 13 and 3133. Conclusion: 13 Question: Calculate the greatest common divisor of 42 and 230118. Conclusion: 42 Question: What is the highest common factor of 242 and 27346? Conclusion: 242 Question: Calculate the highest common factor of 3429 and 127. Conclusion: 127 Question: Calculate the highest common divisor of 221 and 391. Conclusion: 17 Question: Calculate the highest common divisor of 1710 and 99. Conclusion: 9 Question: Calculate the highest common divisor of 89 and 41. Conclusion: 1 Question: Calculate the highest common factor of 20 and 236. Conclusion: 4 Question: Calculate the greatest common factor of 424916 and 152. Conclusion: 76 Question: What is the greatest common divisor of 1530067860 and 8355? Conclusion: 8355 Question: Calculate the highest common factor of 486 and 54. Conclusion: 54 Question: What is the highest common factor of 7236 and 268? Conclusion: 268 Question: What is the greatest common divisor of 1274 and 13? Conclusion: 13 Question: What is the greatest common divisor of 30921773 and 134? Conclusion: 67 Question: Calculate the highest common factor of 575 and 3266425. Conclusion: 25 Question: Calculate the greatest common factor of 45 and 42645. Conclusion: 15 Question: Calculate the greatest common factor of 336 and 408. Conclusion: 24 Question: What is the highest common factor of 21600 and 150? Conclusion: 150 Question: Calculate the highest common divisor of 2340 and 252. Conclusion: 36 Question: What is the highest common divisor of 144 and 55143? Conclusion: 9 Question: What is the greatest common divisor of 1 and 2293? Conclusion: 1 Question: Calculate the highest common factor of 95 and 15. Conclusion: 5 Question: What is the greatest common divisor of 74054 and 159034? Conclusion: 1214 Question: Calculate the greatest common divisor of 33549 and 424. Conclusion: 53 Qu
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measurement: conversion ----------------------- Example: How many centuries are there in 706.1511 millennia? Final Answer: 7061.511 Example: How many millilitres are there in 5/4 of a litre? Final Answer: 1250 Example: How many grams are there in 7/8 of a kilogram? Final Answer: 875 Example: How many millilitres are there in 17/4 of a litre? Final Answer: 4250 Example: What is 27.31062 centuries in decades? Final Answer: 273.1062 Example: How many nanoseconds are there in 2.474809 milliseconds? Final Answer: 2474809 Example: How many millilitres are there in seven halves of a litre? Final Answer: 3500 Example: How many weeks are there in 16695.64386 nanoseconds? Final Answer: 0.00000000002760523125 Example: What is 6553.093 millennia in years? Final Answer: 6553093 Example: What is 0.2227733l in millilitres? Final Answer: 222.7733 Example: What is five eighths of a tonne in kilograms? Final Answer: 625 Example: Convert 4701.08km to micrometers. Final Answer: 4701080000000 Example: What is 2372.391ml in litres? Final Answer: 2.372391 Example: How many millilitres are there in 14708.21l? Final Answer: 14708210 Example: How many months are there in seven sixths of a year? Final Answer: 14 Example: How many micrometers are there in 84079.61km? Final Answer: 84079610000000 Example: Convert 41.21483 litres to millilitres. Final Answer: 41214.83 Example: How many micrograms are there in 0.009909 kilograms? Final Answer: 9909000 Example: What is three tenths of a millennium in months? Final Answer: 3600 Example: What is seven halves of a litre in millilitres? Final Answer: 3500 Example: How many years are there in 25/4 of a century? Final Answer: 625 Example: How many kilograms are there in 34/5 of a tonne? Final Answer: 6800 Example: How many minutes are there in 1/30 of a day? Final Answer: 48 Example: Convert 784.9801m to nanometers. Final Answer: 784980100000 Example: What is 74.32118 centuries in years? Final Answer: 7432.118 Example: Convert 73295.05ug to tonnes. Fina
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numbers: div remainder ---------------------- Ask: Calculate the remainder when 1208 is divided by 31. Outcome: 30 Ask: Calculate the remainder when 24680548 is divided by 137880. Outcome: 28 Ask: What is the remainder when 1098 is divided by 16? Outcome: 10 Ask: What is the remainder when 139456824 is divided by 3526? Outcome: 3524 Ask: What is the remainder when 2909 is divided by 22? Outcome: 5 Ask: What is the remainder when 21605 is divided by 3097? Outcome: 3023 Ask: Calculate the remainder when 7914 is divided by 2608. Outcome: 90 Ask: Calculate the remainder when 910 is divided by 296. Outcome: 22 Ask: What is the remainder when 343871 is divided by 7475? Outcome: 21 Ask: What is the remainder when 1897528387 is divided by 36? Outcome: 31 Ask: What is the remainder when 924008 is divided by 15931? Outcome: 10 Ask: What is the remainder when 8833 is divided by 1103? Outcome: 9 Ask: What is the remainder when 38555 is divided by 6424? Outcome: 11 Ask: What is the remainder when 31137789 is divided by 128? Outcome: 125 Ask: Calculate the remainder when 1014785 is divided by 163. Outcome: 110 Ask: What is the remainder when 523 is divided by 33? Outcome: 28 Ask: Calculate the remainder when 2455 is divided by 43. Outcome: 4 Ask: Calculate the remainder when 6066223 is divided by 143. Outcome: 20 Ask: What is the remainder when 1337 is divided by 254? Outcome: 67 Ask: Calculate the remainder when 1270 is divided by 177. Outcome: 31 Ask: What is the remainder when 1182999 is divided by 1405? Outcome: 1394 Ask: Calculate the remainder when 238845 is divided by 1196. Outcome: 841 Ask: What is the remainder when 1717836 is divided by 1598? Outcome: 1584 Ask: Calculate the remainder when 76887536 is divided by 20. Outcome: 16 Ask: What is the remainder when 2067 is divided by 1814? Outcome: 253 Ask: What is the remainder when 355 is divided by 177? Outcome: 1 Ask: What is the remainder when 254063 is divided by 79? Outcome: 78 Ask: Calculate the remainder when 910 is
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numbers: place value -------------------- Q): What is the millions digit of 16015824? Conclusion: 6 Q): What is the ten millions digit of 408296008? Conclusion: 0 Q): What is the ten thousands digit of 6041024? Conclusion: 4 Q): What is the hundred thousands digit of 3713488727? Conclusion: 4 Q): What is the units digit of 64285? Conclusion: 5 Q): What is the units digit of 409533? Conclusion: 3 Q): What is the thousands digit of 79507? Conclusion: 9 Q): What is the hundred thousands digit of 449590? Conclusion: 4 Q): What is the units digit of 20745650? Conclusion: 0 Q): What is the ten thousands digit of 101466? Conclusion: 0 Q): What is the ten thousands digit of 18192? Conclusion: 1 Q): What is the hundreds digit of 26513? Conclusion: 5 Q): What is the hundred thousands digit of 1261908? Conclusion: 2 Q): What is the tens digit of 75639? Conclusion: 3 Q): What is the thousands digit of 1218376? Conclusion: 8 Q): What is the units digit of 47868? Conclusion: 8 Q): What is the hundreds digit of 11836? Conclusion: 8 Q): What is the tens digit of 1155487? Conclusion: 8 Q): What is the thousands digit of 91667? Conclusion: 1 Q): What is the tens digit of 582? Conclusion: 8 Q): What is the ten thousands digit of 263796? Conclusion: 6 Q): What is the hundred thousands digit of 1558458? Conclusion: 5 Q): What is the thousands digit of 13120479? Conclusion: 0 Q): What is the hundred thousands digit of 1089485987? Conclusion: 4 Q): What is the units digit of 136609666? Conclusion: 6 Q): What is the hundred thousands digit of 25915614? Conclusion: 9 Q): What is the thousands digit of 5790? Conclusion: 5 Q): What is the tens digit of 10877? Conclusion: 7 Q): What is the units digit of 3495703? Conclusion: 3 Q): What is the hundreds digit of 125037? Conclusion: 0 Q): What is the hundred thousands digit of 25003438? Conclusion: 0 Q): What is the tens digit of 1100? Conclusion: 0 Q): What is the tens digit of 3446304389? Conclusion: 8 Q): What is the tens digit of 1828047? Con
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measurement: conversion ----------------------- Subquestion: How many months are there in 3/10 of a decade? Key: 36 Subquestion: Convert 316931.8l to millilitres. Key: 316931800 Subquestion: How many grams are there in 1/5 of a kilogram? Key: 200 Subquestion: How many nanoseconds are there in twenty-five halves of a microsecond? Key: 12500 Subquestion: How many meters are there in 992769.7 centimeters? Key: 9927.697 Subquestion: What is 1/10 of a gram in milligrams? Key: 100 Subquestion: How many millilitres are there in 848369.6 litres? Key: 848369600 Subquestion: How many millilitres are there in 1/10 of a litre? Key: 100 Subquestion: How many grams are there in 13.095 micrograms? Key: 0.000013095 Subquestion: Convert 227.7072 years to centuries. Key: 2.277072 Subquestion: How many kilograms are there in 6/25 of a tonne? Key: 240 Subquestion: What is 42.03138ng in grams? Key: 0.00000004203138 Subquestion: What is 84.98713s in milliseconds? Key: 84987.13 Subquestion: Convert 0.9569829t to grams. Key: 956982.9 Subquestion: What is 3/25 of a litre in millilitres? Key: 120 Subquestion: What is 3/8 of a litre in millilitres? Key: 375 Subquestion: How many months are there in five quarters of a decade? Key: 150 Subquestion: How many millilitres are there in thirteen eighths of a litre? Key: 1625 Subquestion: Convert 3797.259 litres to millilitres. Key: 3797259 Subquestion: What is 3/16 of a kilometer in centimeters? Key: 18750 Subquestion: Convert 0.726087 microseconds to milliseconds. Key: 0.000726087 Subquestion: Convert 2.426973 decades to centuries. Key: 0.2426973 Subquestion: Convert 440.4971 decades to centuries. Key: 44.04971 Subquestion: How many millilitres are there in 2.402632 litres? Key: 2402.632 Subquestion: How many years are there in 21/4 of a millennium? Key: 5250 Subquestion: What is five quarters of a hour in minutes? Key: 75 Subquestion: How many months are there in seven eighths of a millennium? Key: 10500 Subquestion: How many millilitres are there
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numbers: gcd ------------ Math Problem: What is the greatest common factor of 1440 and 4090? Explanation: 10 Math Problem: Calculate the greatest common divisor of 13213926 and 121. Explanation: 121 Math Problem: What is the highest common factor of 6477 and 51? Explanation: 51 Math Problem: Calculate the greatest common factor of 20433 and 2224. Explanation: 139 Math Problem: What is the greatest common divisor of 868 and 130232333? Explanation: 217 Math Problem: Calculate the highest common factor of 220 and 33. Explanation: 11 Math Problem: Calculate the greatest common divisor of 22032 and 60. Explanation: 12 Math Problem: What is the highest common factor of 3080862 and 16461? Explanation: 531 Math Problem: What is the highest common divisor of 15 and 3795? Explanation: 15 Math Problem: What is the highest common divisor of 260 and 1885? Explanation: 65 Math Problem: Calculate the greatest common factor of 947100 and 21450. Explanation: 1650 Math Problem: Calculate the highest common factor of 1189 and 943. Explanation: 41 Math Problem: Calculate the greatest common divisor of 26 and 16627. Explanation: 13 Math Problem: What is the highest common factor of 2630263 and 411? Explanation: 137 Math Problem: Calculate the greatest common divisor of 187482171 and 55896. Explanation: 6987 Math Problem: Calculate the highest common divisor of 2714796 and 8316. Explanation: 756 Math Problem: Calculate the highest common divisor of 368515708 and 42476. Explanation: 6068 Math Problem: What is the greatest common factor of 1570 and 17174230? Explanation: 1570 Math Problem: What is the greatest common factor of 2394 and 18696? Explanation: 114 Math Problem: What is the highest common factor of 342 and 5890? Explanation: 38 Math Problem: Calculate the highest common divisor of 726 and 6. Explanation: 6 Math Problem: What is the highest common factor of 479 and 37894169? Explanation: 479 Math Problem: Calculate the greatest common factor of 4530 and 180898. Explanation: 302 M
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measurement: time ----------------- Math Q: What is 172 minutes before 6:24 PM? Resolution: 3:32 PM Math Q: How many minutes are there between 3:19 PM and 1:30 AM? Resolution: 611 Math Q: How many minutes are there between 4:32 PM and 9:35 PM? Resolution: 303 Math Q: What is 167 minutes after 5:07 PM? Resolution: 7:54 PM Math Q: What is 456 minutes before 3:55 PM? Resolution: 8:19 AM Math Q: What is 480 minutes before 11:09 AM? Resolution: 3:09 AM Math Q: What is 643 minutes after 9:00 AM? Resolution: 7:43 PM Math Q: What is 445 minutes before 10:22 PM? Resolution: 2:57 PM Math Q: What is 332 minutes before 11:59 PM? Resolution: 6:27 PM Math Q: What is 62 minutes before 1:06 PM? Resolution: 12:04 PM Math Q: How many minutes are there between 2:22 AM and 5:02 AM? Resolution: 160 Math Q: How many minutes are there between 3:22 AM and 2:17 PM? Resolution: 655 Math Q: How many minutes are there between 12:52 AM and 4:55 AM? Resolution: 243 Math Q: What is 423 minutes before 10:06 AM? Resolution: 3:03 AM Math Q: How many minutes are there between 8:37 PM and 12:50 AM? Resolution: 253 Math Q: What is 507 minutes before 7:19 PM? Resolution: 10:52 AM Math Q: What is 237 minutes before 12:57 PM? Resolution: 9:00 AM Math Q: What is 117 minutes after 10:24 PM? Resolution: 12:21 AM Math Q: How many minutes are there between 2:57 PM and 2:01 AM? Resolution: 664 Math Q: What is 121 minutes before 4:39 PM? Resolution: 2:38 PM Math Q: How many minutes are there between 11:51 PM and 2:24 AM? Resolution: 153 Math Q: How many minutes are there between 4:54 AM and 7:15 AM? Resolution: 141 Math Q: What is 231 minutes after 8:47 PM? Resolution: 12:38 AM Math Q: What is 126 minutes before 1:13 AM? Resolution: 11:07 PM Math Q: How many minutes are there between 2:28 AM and 4:00 AM? Resolution: 92 Math Q: How many minutes are there between 10:16 AM and 8:36 PM? Resolution: 620 Math Q: What is 458 minutes after 12:33 AM? Resolution: 8:11 AM Math Q: What is 235 minutes after 6:15 PM? Resoluti
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numbers: is prime ----------------- Question: Is 17935107193 prime? Compute: True Question: Is 435011 prime? Compute: False Question: Is 1054897 a prime number? Compute: False Question: Is 804301 a prime number? Compute: False Question: Is 518698777 a composite number? Compute: False Question: Is 979385567 prime? Compute: False Question: Is 158447353 prime? Compute: True Question: Is 25755906073 a composite number? Compute: False Question: Is 7191699973 composite? Compute: True Question: Is 26745177049 prime? Compute: False Question: Is 53011261 composite? Compute: False Question: Is 63741 prime? Compute: False Question: Is 3181 a composite number? Compute: False Question: Is 1499 prime? Compute: True Question: Is 95827 composite? Compute: True Question: Is 1279 prime? Compute: True Question: Is 2124393 a composite number? Compute: True Question: Is 10678802843 composite? Compute: True Question: Is 38896086799 a composite number? Compute: False Question: Is 1549523 a composite number? Compute: True Question: Is 5025271 a prime number? Compute: False Question: Is 20071047019 prime? Compute: True Question: Is 8089091 a composite number? Compute: True Question: Is 373781 composite? Compute: True Question: Is 621945931 composite? Compute: True Question: Is 84565921 a composite number? Compute: True Question: Is 44341859 a composite number? Compute: True Question: Is 44228945 prime? Compute: False Question: Is 3717803 a composite number? Compute: False Question: Is 111674931 prime? Compute: False Question: Is 1498106959 a prime number? Compute: True Question: Is 1097 prime? Compute: True Question: Is 46314985117 prime? Compute: True Question: Is 472309601 composite? Compute: False Question: Is 103081142407 prime? Compute: False Question: Is 368323 prime? Compute: True Question: Is 11273 a composite number? Compute: False Question: Is 1931914409 a composite number? Compute: False Question: Is 9377 composite? Compute: False Question: Is 17975549 prime? Compute: True Questi
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numbers: gcd ------------ Request: Calculate the highest common divisor of 141 and 413357104. Result: 47 Request: What is the greatest common factor of 1222 and 949071? Result: 47 Request: Calculate the highest common factor of 520 and 117024640. Result: 40 Request: What is the highest common factor of 308 and 173593? Result: 7 Request: Calculate the highest common factor of 57 and 35074. Result: 19 Request: Calculate the highest common factor of 121 and 6235735. Result: 121 Request: What is the highest common factor of 1 and 16? Result: 1 Request: What is the highest common divisor of 9394 and 154? Result: 154 Request: Calculate the greatest common divisor of 11049 and 174. Result: 87 Request: Calculate the greatest common divisor of 33170 and 62. Result: 62 Request: What is the greatest common divisor of 30 and 135390? Result: 30 Request: Calculate the greatest common divisor of 2484 and 110676. Result: 276 Request: What is the greatest common factor of 70 and 157394580? Result: 70 Request: Calculate the highest common factor of 35 and 413. Result: 7 Request: Calculate the highest common factor of 3529896 and 28386. Result: 114 Request: What is the greatest common divisor of 712355 and 1050? Result: 35 Request: Calculate the greatest common divisor of 55 and 140533525. Result: 55 Request: Calculate the highest common divisor of 175645 and 255. Result: 5 Request: What is the greatest common factor of 84 and 1526? Result: 14 Request: What is the greatest common divisor of 2919084 and 132525? Result: 1767 Request: What is the highest common factor of 1551 and 65001? Result: 141 Request: Calculate the greatest common divisor of 51324 and 12246. Result: 78 Request: Calculate the greatest common factor of 203252 and 2898007. Result: 833 Request: What is the highest common divisor of 1830 and 13054? Result: 122 Request: What is the highest common factor of 250 and 4100? Result: 50 Request: What is the greatest common divisor of 1070250 and 1875? Result: 375 Request: What
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arithmetic: nearest integer root -------------------------------- Prompt: What is the sixth root of 71812614 to the nearest integer? Result: 20 Prompt: What is the eighth root of 41272030 to the nearest integer? Result: 9 Prompt: What is 27445144 to the power of 1/3, to the nearest integer? Result: 302 Prompt: What is 3849 to the power of 1/7, to the nearest integer? Result: 3 Prompt: What is the third root of 1177904278 to the nearest integer? Result: 1056 Prompt: What is 116708 to the power of 1/8, to the nearest integer? Result: 4 Prompt: What is the seventh root of 1705403 to the nearest integer? Result: 8 Prompt: What is the square root of 4302242 to the nearest integer? Result: 2074 Prompt: What is 131452 to the power of 1/6, to the nearest integer? Result: 7 Prompt: What is the third root of 5476 to the nearest integer? Result: 18 Prompt: What is 2052 to the power of 1/5, to the nearest integer? Result: 5 Prompt: What is the tenth root of 69791 to the nearest integer? Result: 3 Prompt: What is 3978420 to the power of 1/2, to the nearest integer? Result: 1995 Prompt: What is the sixth root of 1638881549 to the nearest integer? Result: 34 Prompt: What is the cube root of 4918 to the nearest integer? Result: 17 Prompt: What is 43745153 to the power of 1/2, to the nearest integer? Result: 6614 Prompt: What is the cube root of 12208 to the nearest integer? Result: 23 Prompt: What is the sixth root of 189184 to the nearest integer? Result: 8 Prompt: What is the square root of 4827941181 to the nearest integer? Result: 69483 Prompt: What is the square root of 112 to the nearest integer? Result: 11 Prompt: What is the cube root of 1149586 to the nearest integer? Result: 105 Prompt: What is the third root of 3916376 to the nearest integer? Result: 158 Prompt: What is 14606 to the power of 1/2, to the nearest integer? Result: 121 Prompt: What is the eighth root of 11171714 to the nearest integer? Result: 8 Prompt: What is the ninth root of 3686708 to the nearest intege
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numbers: div remainder ---------------------- Qn: Calculate the remainder when 1129 is divided by 545. = : 39 Qn: What is the remainder when 5879 is divided by 1963? = : 1953 Qn: What is the remainder when 2348 is divided by 505? = : 328 Qn: What is the remainder when 2600799 is divided by 198? = : 69 Qn: Calculate the remainder when 231 is divided by 137. = : 94 Qn: What is the remainder when 19189380 is divided by 838? = : 18 Qn: What is the remainder when 32831 is divided by 767? = : 617 Qn: Calculate the remainder when 219954 is divided by 468. = : 462 Qn: Calculate the remainder when 9025720 is divided by 4696. = : 8 Qn: Calculate the remainder when 421726 is divided by 4055. = : 6 Qn: Calculate the remainder when 333 is divided by 6. = : 3 Qn: Calculate the remainder when 252 is divided by 56. = : 28 Qn: What is the remainder when 3928 is divided by 1295? = : 43 Qn: Calculate the remainder when 3774 is divided by 126. = : 120 Qn: Calculate the remainder when 7261234 is divided by 1978. = : 1974 Qn: What is the remainder when 3915 is divided by 304? = : 267 Qn: Calculate the remainder when 19147 is divided by 27. = : 4 Qn: Calculate the remainder when 14058 is divided by 3452. = : 250 Qn: What is the remainder when 447658 is divided by 55940? = : 138 Qn: What is the remainder when 2955831 is divided by 422233? = : 200 Qn: What is the remainder when 234 is divided by 17? = : 13 Qn: Calculate the remainder when 3425 is divided by 1120. = : 65 Qn: What is the remainder when 1932522 is divided by 483128? = : 10 Qn: What is the remainder when 615292 is divided by 586? = : 578 Qn: What is the remainder when 11576747 is divided by 826908? = : 35 Qn: What is the remainder when 402691 is divided by 5671? = : 50 Qn: What is the remainder when 649 is divided by 56? = : 33 Qn: Calculate the remainder when 489 is divided by 98. = : 97 Qn: Calculate the remainder when 197826 is divided by 129. = : 69 Qn: Calculate the remainder when 516221 is divided by 21. = : 20 Qn: Calcul
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numbers: div remainder ---------------------- Ask: What is the remainder when 516319 is divided by 19? Ans: 13 Ask: Calculate the remainder when 1156271 is divided by 436. Ans: 435 Ask: What is the remainder when 604358 is divided by 360? Ans: 278 Ask: What is the remainder when 73001 is divided by 346? Ans: 341 Ask: Calculate the remainder when 538 is divided by 60. Ans: 58 Ask: Calculate the remainder when 6567 is divided by 71. Ans: 35 Ask: What is the remainder when 10067 is divided by 15? Ans: 2 Ask: Calculate the remainder when 850356 is divided by 2349. Ans: 18 Ask: Calculate the remainder when 354 is divided by 91. Ans: 81 Ask: What is the remainder when 614 is divided by 410? Ans: 204 Ask: What is the remainder when 124 is divided by 42? Ans: 40 Ask: Calculate the remainder when 419 is divided by 204. Ans: 11 Ask: Calculate the remainder when 8254 is divided by 750. Ans: 4 Ask: What is the remainder when 12543 is divided by 161? Ans: 146 Ask: What is the remainder when 38668490 is divided by 6079? Ans: 6050 Ask: Calculate the remainder when 2734107 is divided by 338. Ans: 25 Ask: What is the remainder when 2291 is divided by 1108? Ans: 75 Ask: Calculate the remainder when 5086557 is divided by 70. Ans: 7 Ask: What is the remainder when 94 is divided by 84? Ans: 10 Ask: Calculate the remainder when 160031487 is divided by 528. Ans: 495 Ask: What is the remainder when 295761 is divided by 210? Ans: 81 Ask: Calculate the remainder when 376934 is divided by 2724. Ans: 1022 Ask: Calculate the remainder when 154951 is divided by 19367. Ans: 15 Ask: Calculate the remainder when 390243 is divided by 3761. Ans: 2860 Ask: What is the remainder when 2381569 is divided by 283? Ans: 124 Ask: What is the remainder when 714085 is divided by 119006? Ans: 49 Ask: Calculate the remainder when 490 is divided by 102. Ans: 82 Ask: What is the remainder when 13165211 is divided by 9? Ans: 2 Ask: Calculate the remainder when 46816 is divided by 54. Ans: 52 Ask: What is the remain
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probability: swr p level set ---------------------------- Topic: What is prob of picking 3 g when three letters picked without replacement from {z: 1, g: 17}? Conclusion: 5/6 Topic: Three letters picked without replacement from ccchshhlthslsc. Give prob of picking 1 s and 2 l. Conclusion: 3/364 Topic: What is prob of picking 1 g and 1 t when two letters picked without replacement from tttttktkktttkfkg? Conclusion: 3/40 Topic: Two letters picked without replacement from ctcbtfbbfcttt. Give prob of picking 1 t and 1 c. Conclusion: 5/26 Topic: Two letters picked without replacement from xbxxuuulxux. What is prob of picking 1 u and 1 l? Conclusion: 4/55 Topic: Two letters picked without replacement from {u: 1, y: 1, z: 1, v: 2, o: 2}. What is prob of picking 1 z and 1 o? Conclusion: 2/21 Topic: What is prob of picking 2 u when two letters picked without replacement from {u: 3, z: 1}? Conclusion: 1/2 Topic: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from cpcxcipipbsxpc. Conclusion: 8/91 Topic: Four letters picked without replacement from ooooooo. Give prob of picking 4 o. Conclusion: 1 Topic: Two letters picked without replacement from {q: 1, k: 6, t: 4, m: 2, s: 4, x: 1}. Give prob of picking 1 s and 1 t. Conclusion: 16/153 Topic: Calculate prob of picking 4 t when four letters picked without replacement from {a: 10, t: 10}. Conclusion: 14/323 Topic: What is prob of picking 1 n and 2 h when three letters picked without replacement from {n: 1, h: 7}? Conclusion: 3/8 Topic: Three letters picked without replacement from {m: 2, d: 4, r: 7, k: 5}. Give prob of picking 3 k. Conclusion: 5/408 Topic: What is prob of picking 1 x and 1 w when two letters picked without replacement from {w: 8, x: 2, f: 4, i: 2, s: 2, y: 1}? Conclusion: 16/171 Topic: Four letters picked without replacement from xxzfxxzzdndp. Give prob of picking 1 d, 1 f, 1 n, and 1 p. Conclusion: 2/495 Topic: Three letters picked without replacement from aaqkkwvkqa. Give prob
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numbers: gcd ------------ Query: What is the greatest common divisor of 7 and 1554? Key: 7 Query: What is the highest common factor of 35217549 and 18? Key: 9 Query: What is the greatest common factor of 2865 and 15? Key: 15 Query: Calculate the highest common divisor of 40712 and 5103. Key: 7 Query: What is the greatest common factor of 21 and 5103? Key: 21 Query: Calculate the highest common factor of 181240 and 9340. Key: 20 Query: What is the highest common divisor of 766 and 313294? Key: 766 Query: What is the greatest common divisor of 2244 and 425? Key: 17 Query: What is the highest common divisor of 131242 and 1266? Key: 422 Query: What is the highest common factor of 165 and 99? Key: 33 Query: Calculate the greatest common factor of 98820 and 1462780. Key: 1220 Query: What is the greatest common divisor of 46 and 5750? Key: 46 Query: Calculate the highest common factor of 48300 and 82100. Key: 100 Query: What is the highest common factor of 10864 and 291? Key: 97 Query: Calculate the highest common factor of 99650 and 40. Key: 10 Query: Calculate the highest common divisor of 286 and 1394492. Key: 22 Query: Calculate the highest common divisor of 30 and 20. Key: 10 Query: Calculate the greatest common factor of 2849858 and 44. Key: 22 Query: Calculate the greatest common divisor of 2005762 and 102. Key: 34 Query: Calculate the greatest common factor of 20733 and 1689. Key: 3 Query: Calculate the greatest common factor of 10 and 250. Key: 10 Query: What is the highest common divisor of 5343 and 110994? Key: 39 Query: What is the highest common factor of 511 and 567? Key: 7 Query: Calculate the highest common factor of 4221 and 21. Key: 21 Query: Calculate the highest common divisor of 58040210 and 14495. Key: 1115 Query: Calculate the greatest common divisor of 202 and 8585. Key: 101 Query: What is the highest common divisor of 27512808 and 48? Key: 24 Query: Calculate the highest common divisor of 134 and 11600179. Key: 67 Query: What is the highest common
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probability: swr p sequence --------------------------- Task: Two letters picked without replacement from adddqadqddadaqq. What is prob of sequence aq? Clarification: 8/105 Task: What is prob of sequence bxc when three letters picked without replacement from {b: 1, x: 2, t: 1, c: 4}? Clarification: 1/42 Task: Two letters picked without replacement from {k: 8, b: 3}. What is prob of sequence bk? Clarification: 12/55 Task: Four letters picked without replacement from {g: 2, t: 7}. What is prob of sequence tggt? Clarification: 1/36 Task: Calculate prob of sequence kkkk when four letters picked without replacement from {k: 9, c: 9}. Clarification: 7/170 Task: What is prob of sequence zz when two letters picked without replacement from {z: 2, g: 2, w: 3, b: 1, y: 12}? Clarification: 1/190 Task: Calculate prob of sequence ee when two letters picked without replacement from mmmmeemlyllymemmm. Clarification: 3/136 Task: Two letters picked without replacement from wiiiiiiiiiwiiiiwiwi. Give prob of sequence iw. Clarification: 10/57 Task: Two letters picked without replacement from {l: 3, h: 1, a: 3, o: 2, s: 1, m: 1}. Give prob of sequence oo. Clarification: 1/55 Task: Two letters picked without replacement from {e: 1, n: 3}. What is prob of sequence en? Clarification: 1/4 Task: Calculate prob of sequence vyce when four letters picked without replacement from cvccemvcvyevvmvv. Clarification: 1/780 Task: What is prob of sequence ddd when three letters picked without replacement from {j: 3, d: 4}? Clarification: 4/35 Task: Three letters picked without replacement from ifxufukiuiufviiiiivx. What is prob of sequence xvf? Clarification: 1/570 Task: What is prob of sequence umb when three letters picked without replacement from {p: 4, b: 1, u: 10, m: 2}? Clarification: 1/204 Task: Calculate prob of sequence gggi when four letters picked without replacement from gggiiiggggiii. Clarification: 21/286 Task: What is prob of sequence sx when two letters picked without replacement from {s
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arithmetic: nearest integer root -------------------------------- Situation: What is 32221025 to the power of 1/3, to the nearest integer? Result: 318 Situation: What is 416 to the power of 1/3, to the nearest integer? Result: 7 Situation: What is the ninth root of 7686248 to the nearest integer? Result: 6 Situation: What is 183145 to the power of 1/2, to the nearest integer? Result: 428 Situation: What is 14565932 to the power of 1/7, to the nearest integer? Result: 11 Situation: What is the square root of 28531475 to the nearest integer? Result: 5341 Situation: What is 33914 to the power of 1/3, to the nearest integer? Result: 32 Situation: What is 10487290 to the power of 1/4, to the nearest integer? Result: 57 Situation: What is the cube root of 1408997453 to the nearest integer? Result: 1121 Situation: What is the sixth root of 647064094 to the nearest integer? Result: 29 Situation: What is 380680657 to the power of 1/3, to the nearest integer? Result: 725 Situation: What is the third root of 39762 to the nearest integer? Result: 34 Situation: What is the square root of 1461064 to the nearest integer? Result: 1209 Situation: What is the square root of 741168346 to the nearest integer? Result: 27224 Situation: What is the cube root of 468692984 to the nearest integer? Result: 777 Situation: What is the third root of 31272068 to the nearest integer? Result: 315 Situation: What is 956971147 to the power of 1/2, to the nearest integer? Result: 30935 Situation: What is the fourth root of 92297 to the nearest integer? Result: 17 Situation: What is the square root of 1064 to the nearest integer? Result: 33 Situation: What is the third root of 401 to the nearest integer? Result: 7 Situation: What is the cube root of 1237496915 to the nearest integer? Result: 1074 Situation: What is the square root of 85941748 to the nearest integer? Result: 9270 Situation: What is 3117586882 to the power of 1/2, to the nearest integer? Result: 55835 Situation: What is 1545155 to the po
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probability: swr p sequence --------------------------- Example: What is prob of sequence qbbu when four letters picked without replacement from uxbbqxxxquqx? Therefore: 1/990 Example: Calculate prob of sequence ho when two letters picked without replacement from {h: 1, x: 1, k: 5, v: 3, o: 3, g: 1}. Therefore: 3/182 Example: Two letters picked without replacement from fffkkzfokkk. Give prob of sequence kf. Therefore: 2/11 Example: Calculate prob of sequence pndi when four letters picked without replacement from {p: 1, d: 1, i: 2, n: 1, r: 1, m: 1}. Therefore: 1/420 Example: Three letters picked without replacement from udikukuuuueekkkkd. Give prob of sequence ide. Therefore: 1/1020 Example: Calculate prob of sequence ztq when three letters picked without replacement from ttqiqtqttzqdzi. Therefore: 5/273 Example: What is prob of sequence ggw when three letters picked without replacement from jswjggjgjwgjggjggs? Therefore: 7/306 Example: Three letters picked without replacement from {h: 13, w: 1, p: 3, m: 2}. Give prob of sequence whp. Therefore: 13/1938 Example: Calculate prob of sequence iv when two letters picked without replacement from {r: 1, v: 2, p: 3, a: 1, i: 3}. Therefore: 1/15 Example: Calculate prob of sequence ee when two letters picked without replacement from {o: 1, m: 1, e: 5, u: 7}. Therefore: 10/91 Example: Calculate prob of sequence wfqq when four letters picked without replacement from qqwqffrrfwff. Therefore: 1/198 Example: Two letters picked without replacement from rrrjbrrjjrjjjrs. What is prob of sequence rb? Therefore: 1/30 Example: What is prob of sequence jboj when four letters picked without replacement from bjbbbbxojbbbjbb? Therefore: 1/546 Example: Three letters picked without replacement from {y: 5, o: 6, k: 3, h: 3, w: 2, u: 1}. What is prob of sequence kko? Therefore: 1/190 Example: Three letters picked without replacement from ddduddudd. Give prob of sequence ddd. Therefore: 5/12 Example: Four letters picked without replacement from
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probability: swr p level set ---------------------------- Challenge: What is prob of picking 1 g and 1 s when two letters picked without replacement from qdqdqaqqsqqdgdddqqg? Result: 2/171 Challenge: What is prob of picking 1 x and 2 z when three letters picked without replacement from {o: 3, p: 2, b: 1, z: 4, x: 2, t: 3}? Result: 12/455 Challenge: Four letters picked without replacement from mmmbmmbbmbbm. What is prob of picking 2 m and 2 b? Result: 14/33 Challenge: What is prob of picking 1 x, 1 q, and 1 j when three letters picked without replacement from mqxjqxlc? Result: 1/14 Challenge: Two letters picked without replacement from lllllllll. Give prob of picking 2 l. Result: 1 Challenge: Four letters picked without replacement from axyxrxayxxmmyppprpy. What is prob of picking 2 y, 1 p, and 1 x? Result: 10/323 Challenge: Two letters picked without replacement from {f: 3, e: 17}. What is prob of picking 2 e? Result: 68/95 Challenge: Calculate prob of picking 1 r and 3 j when four letters picked without replacement from jrjrjrjsjrjjr. Result: 35/143 Challenge: What is prob of picking 1 s and 1 i when two letters picked without replacement from vyivss? Result: 2/15 Challenge: Two letters picked without replacement from {p: 1, j: 1, u: 2}. What is prob of picking 1 u and 1 p? Result: 1/3 Challenge: Three letters picked without replacement from hhhtthdt. Give prob of picking 1 h and 2 t. Result: 3/14 Challenge: Two letters picked without replacement from ttrttr. Give prob of picking 2 r. Result: 1/15 Challenge: What is prob of picking 1 r and 1 m when two letters picked without replacement from {m: 1, s: 4, r: 5, b: 1, e: 1, v: 1}? Result: 5/78 Challenge: Two letters picked without replacement from ycicnncini. What is prob of picking 2 c? Result: 1/15 Challenge: Four letters picked without replacement from oooaooooooopoo. Give prob of picking 1 p, 1 a, and 2 o. Result: 6/91 Challenge: Two letters picked without replacement from zzxxczxzxgxcxzxxcx. What is prob of pick
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measurement: conversion ----------------------- Given: What is 8.049973 centuries in decades? Resolution: 80.49973 Given: How many centuries are there in 87.83231 decades? Resolution: 8.783231 Given: How many seconds are there in 2/15 of a minute? Resolution: 8 Given: Convert 0.1485936 decades to months. Resolution: 17.831232 Given: What is one twentieth of a millennium in months? Resolution: 600 Given: Convert 0.592969 centuries to months. Resolution: 711.5628 Given: Convert 94559.87 nanoseconds to microseconds. Resolution: 94.55987 Given: What is 47/4 of a litre in millilitres? Resolution: 11750 Given: How many decades are there in 7.601321 centuries? Resolution: 76.01321 Given: How many months are there in eight thirds of a decade? Resolution: 320 Given: How many millimeters are there in 900.7114um? Resolution: 0.9007114 Given: What is 372274.5 decades in years? Resolution: 3722745 Given: How many millilitres are there in 24672.62 litres? Resolution: 24672620 Given: How many decades are there in 2720.256 millennia? Resolution: 272025.6 Given: How many nanometers are there in 85920.23 meters? Resolution: 85920230000000 Given: What is 4823.76 centuries in months? Resolution: 5788512 Given: How many millimeters are there in one twentieth of a kilometer? Resolution: 50000 Given: How many millilitres are there in eighty-five quarters of a litre? Resolution: 21250 Given: Convert 22.11427 grams to nanograms. Resolution: 22114270000 Given: How many millilitres are there in 3/50 of a litre? Resolution: 60 Given: How many minutes are there in 3/8 of a day? Resolution: 540 Given: How many minutes are there in 8/7 of a week? Resolution: 11520 Given: Convert 15.27776 kilograms to micrograms. Resolution: 15277760000 Given: What is 6214.722 millilitres in litres? Resolution: 6.214722 Given: What is fifty-nine quarters of a millennium in years? Resolution: 14750 Given: How many millilitres are there in 11/2 of a litre? Resolution: 5500 Given: Convert 0.3609725 centuries to years
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measurement: time ----------------- Math Q: How many minutes are there between 5:50 AM and 1:43 PM? Output: 473 Math Q: How many minutes are there between 6:53 AM and 8:54 AM? Output: 121 Math Q: What is 170 minutes after 7:13 PM? Output: 10:03 PM Math Q: What is 98 minutes after 4:15 PM? Output: 5:53 PM Math Q: What is 63 minutes before 11:35 AM? Output: 10:32 AM Math Q: What is 166 minutes before 12:41 AM? Output: 9:55 PM Math Q: What is 398 minutes after 4:21 PM? Output: 10:59 PM Math Q: What is 462 minutes after 4:51 PM? Output: 12:33 AM Math Q: How many minutes are there between 4:18 PM and 1:08 AM? Output: 530 Math Q: How many minutes are there between 8:49 PM and 10:36 PM? Output: 107 Math Q: How many minutes are there between 8:10 AM and 9:32 AM? Output: 82 Math Q: How many minutes are there between 1:41 PM and 5:53 PM? Output: 252 Math Q: How many minutes are there between 11:49 AM and 8:37 PM? Output: 528 Math Q: What is 420 minutes before 12:15 PM? Output: 5:15 AM Math Q: How many minutes are there between 10:38 AM and 6:51 PM? Output: 493 Math Q: How many minutes are there between 9:05 AM and 7:12 PM? Output: 607 Math Q: How many minutes are there between 12:15 AM and 3:07 AM? Output: 172 Math Q: What is 110 minutes after 2:09 AM? Output: 3:59 AM Math Q: How many minutes are there between 6:12 PM and 5:09 AM? Output: 657 Math Q: How many minutes are there between 4:49 PM and 1:14 AM? Output: 505 Math Q: How many minutes are there between 8:52 PM and 8:19 AM? Output: 687 Math Q: What is 526 minutes after 7:46 PM? Output: 4:32 AM Math Q: What is 36 minutes after 4:32 AM? Output: 5:08 AM Math Q: How many minutes are there between 12:50 PM and 9:35 PM? Output: 525 Math Q: What is 706 minutes after 3:56 PM? Output: 3:42 AM Math Q: How many minutes are there between 6:13 AM and 6:51 AM? Output: 38 Math Q: How many minutes are there between 9:12 AM and 8:49 PM? Output: 697 Math Q: How many minutes are there between 2:32 AM and 11:18 AM? Output: 526 Math Q: How
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arithmetic: nearest integer root -------------------------------- Let us solve: What is the cube root of 180878 to the nearest integer? Solution: 57 Let us solve: What is the seventh root of 372790662 to the nearest integer? Solution: 17 Let us solve: What is 1613021 to the power of 1/5, to the nearest integer? Solution: 17 Let us solve: What is the fourth root of 17870 to the nearest integer? Solution: 12 Let us solve: What is the square root of 3033 to the nearest integer? Solution: 55 Let us solve: What is 230 to the power of 1/8, to the nearest integer? Solution: 2 Let us solve: What is 2904261 to the power of 1/3, to the nearest integer? Solution: 143 Let us solve: What is the cube root of 164208 to the nearest integer? Solution: 55 Let us solve: What is 55715 to the power of 1/5, to the nearest integer? Solution: 9 Let us solve: What is 291 to the power of 1/5, to the nearest integer? Solution: 3 Let us solve: What is 2642 to the power of 1/2, to the nearest integer? Solution: 51 Let us solve: What is 4294589 to the power of 1/10, to the nearest integer? Solution: 5 Let us solve: What is the third root of 5089 to the nearest integer? Solution: 17 Let us solve: What is the tenth root of 15826039 to the nearest integer? Solution: 5 Let us solve: What is the sixth root of 306440 to the nearest integer? Solution: 8 Let us solve: What is 1704091 to the power of 1/2, to the nearest integer? Solution: 1305 Let us solve: What is 635909832 to the power of 1/3, to the nearest integer? Solution: 860 Let us solve: What is the fourth root of 100165 to the nearest integer? Solution: 18 Let us solve: What is 386217763 to the power of 1/2, to the nearest integer? Solution: 19652 Let us solve: What is the third root of 3820796 to the nearest integer? Solution: 156 Let us solve: What is 3789 to the power of 1/2, to the nearest integer? Solution: 62 Let us solve: What is 24669 to the power of 1/2, to the nearest integer? Solution: 157 Let us solve: What is 408084 to the power of
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numbers: gcd ------------ Exercise: Calculate the greatest common divisor of 691 and 4062389. Finding: 691 Exercise: What is the greatest common divisor of 14940 and 581? Finding: 83 Exercise: Calculate the greatest common factor of 1739339 and 7. Finding: 7 Exercise: What is the highest common factor of 105925096 and 408? Finding: 136 Exercise: Calculate the greatest common factor of 637 and 66339. Finding: 91 Exercise: What is the highest common divisor of 2164 and 4? Finding: 4 Exercise: Calculate the highest common factor of 8433288 and 432. Finding: 216 Exercise: What is the highest common divisor of 12 and 264? Finding: 12 Exercise: Calculate the highest common divisor of 10258 and 10993678. Finding: 46 Exercise: Calculate the greatest common divisor of 29222794 and 1246. Finding: 178 Exercise: What is the highest common divisor of 54 and 30906? Finding: 18 Exercise: What is the highest common factor of 648 and 81? Finding: 81 Exercise: Calculate the highest common factor of 203125 and 5525. Finding: 325 Exercise: Calculate the highest common divisor of 7 and 1897. Finding: 7 Exercise: What is the greatest common factor of 763 and 218? Finding: 109 Exercise: Calculate the highest common factor of 231 and 33. Finding: 33 Exercise: Calculate the highest common divisor of 42175 and 400. Finding: 25 Exercise: Calculate the greatest common divisor of 9849 and 36901389. Finding: 1407 Exercise: Calculate the greatest common divisor of 582 and 666. Finding: 6 Exercise: Calculate the greatest common divisor of 1266120 and 2430. Finding: 90 Exercise: What is the highest common divisor of 87160 and 88? Finding: 8 Exercise: What is the greatest common divisor of 119 and 21? Finding: 7 Exercise: Calculate the highest common divisor of 231 and 66. Finding: 33 Exercise: Calculate the highest common divisor of 78825932 and 20245. Finding: 4049 Exercise: Calculate the greatest common factor of 41007250 and 250. Finding: 250 Exercise: What is the highest common divisor of 7350
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probability: swr p level set ---------------------------- Math Q: Calculate prob of picking 2 v and 2 i when four letters picked without replacement from imxvn. Derivation: 0 Math Q: Calculate prob of picking 3 y and 1 m when four letters picked without replacement from mllylyyyyl. Derivation: 1/21 Math Q: Calculate prob of picking 2 e when two letters picked without replacement from {l: 3, m: 4, e: 7}. Derivation: 3/13 Math Q: What is prob of picking 1 j and 1 l when two letters picked without replacement from {q: 7, l: 1, j: 2}? Derivation: 2/45 Math Q: What is prob of picking 1 m and 1 u when two letters picked without replacement from {y: 4, m: 11, q: 1, u: 1, o: 1, s: 1}? Derivation: 11/171 Math Q: Calculate prob of picking 1 x, 1 a, and 1 g when three letters picked without replacement from {s: 6, d: 5, a: 4, j: 1, g: 1, x: 3}. Derivation: 1/95 Math Q: Calculate prob of picking 1 j and 2 h when three letters picked without replacement from {t: 1, h: 4, z: 4, x: 1, c: 3, j: 2}. Derivation: 12/455 Math Q: Four letters picked without replacement from {g: 2, h: 3, i: 4}. What is prob of picking 2 h and 2 i? Derivation: 1/7 Math Q: What is prob of picking 1 p and 1 t when two letters picked without replacement from {p: 2, t: 2, a: 9}? Derivation: 2/39 Math Q: What is prob of picking 1 l and 1 z when two letters picked without replacement from {z: 1, c: 1, l: 1, t: 1, r: 1, a: 2}? Derivation: 1/21 Math Q: Calculate prob of picking 1 x and 3 j when four letters picked without replacement from jjxjjjjjxjxxjxjjjjx. Derivation: 143/323 Math Q: Two letters picked without replacement from qqjjdqzvjqvd. Give prob of picking 1 v and 1 d. Derivation: 2/33 Math Q: Two letters picked without replacement from crinriniiirwrc. What is prob of picking 1 n and 1 w? Derivation: 2/91 Math Q: Three letters picked without replacement from fdkffzkcddd. What is prob of picking 1 z and 2 k? Derivation: 1/165 Math Q: Calculate prob of picking 2 z when two letters picked without replacement
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numbers: place value -------------------- Ask: What is the millions digit of 267740304? Outcome: 7 Ask: What is the thousands digit of 1427? Outcome: 1 Ask: What is the ten millions digit of 29546956? Outcome: 2 Ask: What is the thousands digit of 115086445? Outcome: 6 Ask: What is the millions digit of 5100792716? Outcome: 0 Ask: What is the ten thousands digit of 885586? Outcome: 8 Ask: What is the tens digit of 14? Outcome: 1 Ask: What is the ten thousands digit of 57500? Outcome: 5 Ask: What is the units digit of 761? Outcome: 1 Ask: What is the billions digit of 4104040994? Outcome: 4 Ask: What is the ten thousands digit of 68695405? Outcome: 9 Ask: What is the thousands digit of 993307? Outcome: 3 Ask: What is the thousands digit of 226982022? Outcome: 2 Ask: What is the hundreds digit of 40059404? Outcome: 4 Ask: What is the tens digit of 26528480? Outcome: 8 Ask: What is the thousands digit of 4112926308? Outcome: 6 Ask: What is the ten thousands digit of 61156668? Outcome: 5 Ask: What is the hundreds digit of 171? Outcome: 1 Ask: What is the units digit of 237? Outcome: 7 Ask: What is the ten thousands digit of 61392? Outcome: 6 Ask: What is the ten millions digit of 4998268452? Outcome: 9 Ask: What is the units digit of 858? Outcome: 8 Ask: What is the units digit of 3269406324? Outcome: 4 Ask: What is the hundred thousands digit of 40440672? Outcome: 4 Ask: What is the tens digit of 33417946? Outcome: 4 Ask: What is the hundreds digit of 3981? Outcome: 9 Ask: What is the thousands digit of 34169? Outcome: 4 Ask: What is the hundreds digit of 1830? Outcome: 8 Ask: What is the units digit of 334954337? Outcome: 7 Ask: What is the hundreds digit of 1810032? Outcome: 0 Ask: What is the hundred millions digit of 149397803? Outcome: 1 Ask: What is the hundreds digit of 1169? Outcome: 1 Ask: What is the units digit of 107754? Outcome: 4 Ask: What is the units digit of 14496777? Outcome: 7 Ask: What is the thousands digit of 105918? Outcome: 5 Ask: What is the un
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numbers: place value -------------------- Input: What is the units digit of 86632? Solution: 2 Input: What is the ten thousands digit of 3011104? Solution: 1 Input: What is the units digit of 27503? Solution: 3 Input: What is the tens digit of 6046? Solution: 4 Input: What is the hundreds digit of 11959? Solution: 9 Input: What is the units digit of 1000874796? Solution: 6 Input: What is the ten thousands digit of 301665819? Solution: 6 Input: What is the tens digit of 14650? Solution: 5 Input: What is the tens digit of 204006471? Solution: 7 Input: What is the hundreds digit of 52318807? Solution: 8 Input: What is the hundred thousands digit of 265023? Solution: 2 Input: What is the thousands digit of 18056? Solution: 8 Input: What is the units digit of 2306? Solution: 6 Input: What is the ten millions digit of 1177577062? Solution: 7 Input: What is the hundred millions digit of 442903864? Solution: 4 Input: What is the millions digit of 34939703? Solution: 4 Input: What is the thousands digit of 927220? Solution: 7 Input: What is the hundreds digit of 21743? Solution: 7 Input: What is the hundreds digit of 1476? Solution: 4 Input: What is the thousands digit of 1644828? Solution: 4 Input: What is the ten millions digit of 34738050? Solution: 3 Input: What is the tens digit of 101862? Solution: 6 Input: What is the hundreds digit of 33915921? Solution: 9 Input: What is the units digit of 7566878? Solution: 8 Input: What is the tens digit of 163247? Solution: 4 Input: What is the thousands digit of 4819496? Solution: 9 Input: What is the units digit of 1312? Solution: 2 Input: What is the hundreds digit of 286858? Solution: 8 Input: What is the units digit of 4963389? Solution: 9 Input: What is the units digit of 4239? Solution: 9 Input: What is the units digit of 16164? Solution: 4 Input: What is the units digit of 428? Solution: 8 Input: What is the ten thousands digit of 13311? Solution: 1 Input: What is the hundred thousands digit of 730256? Solution: 7 Input: W
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probability: swr p level set ---------------------------- Part A: Three letters picked without replacement from attatitti. Give prob of picking 1 t and 2 a. Outcome: 5/84 Part A: What is prob of picking 1 l and 1 o when two letters picked without replacement from oloozeolvozovozezoz? Outcome: 16/171 Part A: What is prob of picking 1 a and 1 m when two letters picked without replacement from {v: 1, w: 3, m: 2, a: 6, o: 1}? Outcome: 2/13 Part A: Four letters picked without replacement from {c: 5, h: 7, f: 1}. What is prob of picking 1 f, 2 c, and 1 h? Outcome: 14/143 Part A: Two letters picked without replacement from {p: 1, g: 1, s: 1, t: 1, n: 1}. Give prob of picking 1 s and 1 p. Outcome: 1/10 Part A: Two letters picked without replacement from mmnnnts. What is prob of picking 1 s and 1 n? Outcome: 1/7 Part A: Two letters picked without replacement from {t: 2, u: 6, w: 4}. Give prob of picking 2 u. Outcome: 5/22 Part A: Two letters picked without replacement from {g: 2, s: 3, o: 4, a: 1}. Give prob of picking 1 o and 1 g. Outcome: 8/45 Part A: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {y: 3, x: 3}. Outcome: 3/5 Part A: What is prob of picking 1 y and 1 n when two letters picked without replacement from {n: 3, y: 7}? Outcome: 7/15 Part A: What is prob of picking 3 p when three letters picked without replacement from iipppppipppp? Outcome: 21/55 Part A: Four letters picked without replacement from uvuvvvuzuvzqzvxzv. What is prob of picking 1 q, 1 x, and 2 u? Outcome: 3/1190 Part A: Two letters picked without replacement from {h: 1, w: 2, r: 2, f: 6, n: 6}. What is prob of picking 1 r and 1 h? Outcome: 1/68 Part A: Calculate prob of picking 1 c, 1 y, and 1 v when three letters picked without replacement from hhgcyhhgvgcvhchgyv. Outcome: 3/136 Part A: Four letters picked without replacement from {b: 2, e: 5, h: 3}. Give prob of picking 2 b and 2 e. Outcome: 1/21 Part A: Two letters picked without replacement from {f: 1, j: 3
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probability: swr p level set ---------------------------- Math Problem: Calculate prob of picking 2 y, 1 v, and 1 a when four letters picked without replacement from cvcyvcccccxckyckcca. Key: 1/1938 Math Problem: Three letters picked without replacement from zhhzhzhzzz. Give prob of picking 3 z. Key: 1/6 Math Problem: Three letters picked without replacement from vlvvbbbbvxl. What is prob of picking 1 l, 1 v, and 1 x? Key: 8/165 Math Problem: Four letters picked without replacement from wwkwwwwwkkwwww. What is prob of picking 2 k and 2 w? Key: 15/91 Math Problem: What is prob of picking 1 d and 2 o when three letters picked without replacement from {d: 4, a: 2, o: 3, j: 2, x: 1}? Key: 3/55 Math Problem: Two letters picked without replacement from {x: 4, e: 1, i: 2, f: 1}. Give prob of picking 1 i and 1 f. Key: 1/14 Math Problem: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from oqwbrqh. Key: 2/21 Math Problem: What is prob of picking 1 r and 1 q when two letters picked without replacement from qqrq? Key: 1/2 Math Problem: Two letters picked without replacement from {o: 1, a: 5, x: 1, h: 1, t: 1}. What is prob of picking 2 a? Key: 5/18 Math Problem: Four letters picked without replacement from bbbbbtttbpbdbdbtbdu. What is prob of picking 1 p, 1 d, 1 u, and 1 b? Key: 5/646 Math Problem: What is prob of picking 2 p and 2 x when four letters picked without replacement from xpxxppxxxxppppxxxxx? Key: 231/646 Math Problem: Three letters picked without replacement from {g: 4, y: 2, l: 3}. Give prob of picking 3 l. Key: 1/84 Math Problem: Two letters picked without replacement from {z: 1, t: 4, u: 2, x: 3}. What is prob of picking 1 z and 1 x? Key: 1/15 Math Problem: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {d: 4, y: 1, z: 4, w: 2}. Key: 8/55 Math Problem: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {t: 4, m: 1, o: 4, g: 2}. Key: 4/55 Math Problem: Ca
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arithmetic: nearest integer root -------------------------------- Case: What is the seventh root of 87 to the nearest integer? Derivation: 2 Case: What is 1942976316 to the power of 1/2, to the nearest integer? Derivation: 44079 Case: What is the cube root of 18457 to the nearest integer? Derivation: 26 Case: What is the square root of 31050351 to the nearest integer? Derivation: 5572 Case: What is 495 to the power of 1/9, to the nearest integer? Derivation: 2 Case: What is the cube root of 20702 to the nearest integer? Derivation: 27 Case: What is the sixth root of 5005989 to the nearest integer? Derivation: 13 Case: What is the cube root of 2453769 to the nearest integer? Derivation: 135 Case: What is the cube root of 1283500 to the nearest integer? Derivation: 109 Case: What is 5240900582 to the power of 1/3, to the nearest integer? Derivation: 1737 Case: What is 491805 to the power of 1/8, to the nearest integer? Derivation: 5 Case: What is the square root of 15895799 to the nearest integer? Derivation: 3987 Case: What is the cube root of 6340611 to the nearest integer? Derivation: 185 Case: What is the third root of 680 to the nearest integer? Derivation: 9 Case: What is the cube root of 478647109 to the nearest integer? Derivation: 782 Case: What is the square root of 92814406 to the nearest integer? Derivation: 9634 Case: What is 427931732 to the power of 1/2, to the nearest integer? Derivation: 20687 Case: What is 29956346 to the power of 1/3, to the nearest integer? Derivation: 311 Case: What is the third root of 1623940 to the nearest integer? Derivation: 118 Case: What is the square root of 24782 to the nearest integer? Derivation: 157 Case: What is 4527779 to the power of 1/2, to the nearest integer? Derivation: 2128 Case: What is the fourth root of 2969946092 to the nearest integer? Derivation: 233 Case: What is 926 to the power of 1/3, to the nearest integer? Derivation: 10 Case: What is 11072325 to the power of 1/9, to the nearest integer? Derivation:
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probability: swr p sequence --------------------------- Exercise: Calculate prob of sequence gfga when four letters picked without replacement from {g: 3, h: 6, x: 5, f: 1, a: 3}. Calculation: 1/4080 Exercise: Two letters picked without replacement from {a: 1, u: 1, i: 1}. Give prob of sequence au. Calculation: 1/6 Exercise: Calculate prob of sequence qwq when three letters picked without replacement from wqwqlqlqlwql. Calculation: 1/22 Exercise: Two letters picked without replacement from qqqzqqffqfffqqf. What is prob of sequence qq? Calculation: 4/15 Exercise: Two letters picked without replacement from wwawqwqawawwwwaqqwa. What is prob of sequence ww? Calculation: 5/19 Exercise: Three letters picked without replacement from {e: 3, i: 6, r: 1, q: 2, h: 6, n: 2}. Give prob of sequence erq. Calculation: 1/1140 Exercise: Three letters picked without replacement from iqcrcimcqhi. Give prob of sequence chr. Calculation: 1/330 Exercise: Three letters picked without replacement from ttaaatnnttttctttmzm. What is prob of sequence tzc? Calculation: 5/2907 Exercise: Four letters picked without replacement from ssczsczczvukcc. What is prob of sequence kkvc? Calculation: 0 Exercise: Calculate prob of sequence ddr when three letters picked without replacement from {k: 3, r: 8, d: 5}. Calculation: 1/21 Exercise: What is prob of sequence gphr when four letters picked without replacement from {g: 1, r: 1, z: 1, p: 6, l: 9, h: 2}? Calculation: 1/9690 Exercise: Calculate prob of sequence lc when two letters picked without replacement from {l: 1, c: 1, f: 1}. Calculation: 1/6 Exercise: Calculate prob of sequence dk when two letters picked without replacement from {d: 5, g: 6, l: 3, k: 2, m: 1}. Calculation: 5/136 Exercise: What is prob of sequence mm when two letters picked without replacement from mhhmc? Calculation: 1/10 Exercise: Calculate prob of sequence jjj when three letters picked without replacement from jjjjjjjjjj. Calculation: 1 Exercise: Four letters picked without replac
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probability: swr p level set ---------------------------- Prompt: Four letters picked without replacement from qiclyca. What is prob of picking 1 q, 1 i, 1 l, and 1 y? Output: 1/35 Prompt: What is prob of picking 1 g and 1 d when two letters picked without replacement from {u: 1, x: 1, g: 2, d: 3}? Output: 2/7 Prompt: What is prob of picking 1 c and 1 q when two letters picked without replacement from iucquuciiiiiiucuui? Output: 1/51 Prompt: Two letters picked without replacement from uouubzouoqqonou. What is prob of picking 1 z and 1 o? Output: 1/21 Prompt: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from fpfffvfvvpppfvvfv. Output: 7/34 Prompt: Calculate prob of picking 1 d and 2 g when three letters picked without replacement from {w: 1, d: 2, g: 3, j: 3, r: 1}. Output: 1/20 Prompt: What is prob of picking 1 o and 2 z when three letters picked without replacement from zozoqzqzo? Output: 3/14 Prompt: Calculate prob of picking 1 e, 1 j, and 2 f when four letters picked without replacement from {e: 4, j: 2, r: 6, f: 2, s: 3, t: 1}. Output: 2/765 Prompt: Calculate prob of picking 4 o when four letters picked without replacement from {k: 1, g: 1, o: 4, q: 5}. Output: 1/330 Prompt: Two letters picked without replacement from cmpmjqb. Give prob of picking 1 j and 1 b. Output: 1/21 Prompt: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from ognmi. Output: 1/10 Prompt: Two letters picked without replacement from {k: 4, w: 7, o: 6, j: 1}. What is prob of picking 2 w? Output: 7/51 Prompt: Two letters picked without replacement from zwdzj. What is prob of picking 2 z? Output: 1/10 Prompt: Four letters picked without replacement from xxxpxxpppx. Give prob of picking 4 p. Output: 1/210 Prompt: Two letters picked without replacement from {a: 1, d: 10, j: 1, w: 4, x: 2}. Give prob of picking 1 d and 1 a. Output: 10/153 Prompt: Three letters picked without replacement from zeyyes. What is prob of picking 1 z,
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measurement: time ----------------- Statement: How many minutes are there between 2:35 AM and 1:53 PM? Eval: 678 Statement: What is 526 minutes after 7:01 AM? Eval: 3:47 PM Statement: How many minutes are there between 11:34 PM and 9:54 AM? Eval: 620 Statement: What is 123 minutes after 7:24 PM? Eval: 9:27 PM Statement: What is 171 minutes before 2:40 PM? Eval: 11:49 AM Statement: What is 688 minutes before 2:52 AM? Eval: 3:24 PM Statement: What is 360 minutes after 9:30 PM? Eval: 3:30 AM Statement: What is 665 minutes before 9:02 PM? Eval: 9:57 AM Statement: How many minutes are there between 7:09 PM and 8:00 PM? Eval: 51 Statement: What is 33 minutes before 8:39 AM? Eval: 8:06 AM Statement: How many minutes are there between 4:38 AM and 9:55 AM? Eval: 317 Statement: How many minutes are there between 12:10 PM and 5:23 PM? Eval: 313 Statement: What is 655 minutes after 11:51 PM? Eval: 10:46 AM Statement: What is 526 minutes before 2:29 PM? Eval: 5:43 AM Statement: How many minutes are there between 12:55 PM and 7:58 PM? Eval: 423 Statement: How many minutes are there between 2:53 PM and 12:25 AM? Eval: 572 Statement: What is 41 minutes after 11:23 AM? Eval: 12:04 PM Statement: What is 704 minutes after 9:08 PM? Eval: 8:52 AM Statement: How many minutes are there between 8:52 AM and 10:58 AM? Eval: 126 Statement: How many minutes are there between 11:24 PM and 4:13 AM? Eval: 289 Statement: How many minutes are there between 4:19 PM and 3:20 AM? Eval: 661 Statement: How many minutes are there between 4:23 PM and 12:51 AM? Eval: 508 Statement: How many minutes are there between 12:54 PM and 12:24 AM? Eval: 690 Statement: How many minutes are there between 7:09 PM and 6:25 AM? Eval: 676 Statement: How many minutes are there between 10:02 PM and 12:55 AM? Eval: 173 Statement: How many minutes are there between 6:50 AM and 4:33 PM? Eval: 583 Statement: What is 418 minutes before 10:48 PM? Eval: 3:50 PM Statement: How many minutes are there between 9:20 PM and 10:11 PM? E
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arithmetic: nearest integer root -------------------------------- Q): What is 16525 to the power of 1/10, to the nearest integer? Result: 3 Q): What is the square root of 32014171 to the nearest integer? Result: 5658 Q): What is 1643685 to the power of 1/3, to the nearest integer? Result: 118 Q): What is 104931 to the power of 1/2, to the nearest integer? Result: 324 Q): What is 9255354 to the power of 1/2, to the nearest integer? Result: 3042 Q): What is the fourth root of 11 to the nearest integer? Result: 2 Q): What is the square root of 142749616 to the nearest integer? Result: 11948 Q): What is 10015589 to the power of 1/6, to the nearest integer? Result: 15 Q): What is the sixth root of 92873653 to the nearest integer? Result: 21 Q): What is 1910 to the power of 1/2, to the nearest integer? Result: 44 Q): What is 66183 to the power of 1/3, to the nearest integer? Result: 40 Q): What is the sixth root of 106654 to the nearest integer? Result: 7 Q): What is the sixth root of 17775110 to the nearest integer? Result: 16 Q): What is 17583314 to the power of 1/2, to the nearest integer? Result: 4193 Q): What is the eighth root of 18684606 to the nearest integer? Result: 8 Q): What is the fourth root of 13156 to the nearest integer? Result: 11 Q): What is 145579550 to the power of 1/3, to the nearest integer? Result: 526 Q): What is the square root of 1473883963 to the nearest integer? Result: 38391 Q): What is 876357 to the power of 1/6, to the nearest integer? Result: 10 Q): What is 91272698 to the power of 1/5, to the nearest integer? Result: 39 Q): What is the fifth root of 1225169 to the nearest integer? Result: 17 Q): What is the fourth root of 3474910485 to the nearest integer? Result: 243 Q): What is the third root of 654241 to the nearest integer? Result: 87 Q): What is 8068686 to the power of 1/4, to the nearest integer? Result: 53 Q): What is 701 to the power of 1/2, to the nearest integer? Result: 26 Q): What is 14559 to the power of 1/7, to the nearest i
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numbers: place value -------------------- Problem: What is the hundreds digit of 2244618058? Sol: 0 Problem: What is the tens digit of 1284342? Sol: 4 Problem: What is the ten millions digit of 20740561? Sol: 2 Problem: What is the units digit of 1765? Sol: 5 Problem: What is the tens digit of 438? Sol: 3 Problem: What is the tens digit of 596? Sol: 9 Problem: What is the units digit of 5870? Sol: 0 Problem: What is the tens digit of 4771805? Sol: 0 Problem: What is the millions digit of 28416653? Sol: 8 Problem: What is the ten millions digit of 30985772? Sol: 3 Problem: What is the ten thousands digit of 3292173589? Sol: 7 Problem: What is the thousands digit of 171404? Sol: 1 Problem: What is the hundreds digit of 68975333? Sol: 3 Problem: What is the thousands digit of 467471461? Sol: 1 Problem: What is the thousands digit of 141749? Sol: 1 Problem: What is the tens digit of 5050? Sol: 5 Problem: What is the tens digit of 1074? Sol: 7 Problem: What is the tens digit of 145136? Sol: 3 Problem: What is the hundred thousands digit of 1385730169? Sol: 7 Problem: What is the tens digit of 608776? Sol: 7 Problem: What is the millions digit of 853143976? Sol: 3 Problem: What is the millions digit of 9056467? Sol: 9 Problem: What is the ten thousands digit of 1233282? Sol: 3 Problem: What is the thousands digit of 222793? Sol: 2 Problem: What is the ten thousands digit of 160884878? Sol: 8 Problem: What is the thousands digit of 7044825? Sol: 4 Problem: What is the units digit of 1213? Sol: 3 Problem: What is the ten millions digit of 299898167? Sol: 9 Problem: What is the tens digit of 2282807? Sol: 0 Problem: What is the hundred thousands digit of 1683593? Sol: 6 Problem: What is the hundreds digit of 522? Sol: 5 Problem: What is the units digit of 997975246? Sol: 6 Problem: What is the thousands digit of 3160? Sol: 3 Problem: What is the tens digit of 1925853895? Sol: 9 Problem: What is the thousands digit of 5916? Sol: 5 Problem: What is the hundreds digit of 658908
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measurement: time ----------------- Given: What is 6 minutes after 10:44 AM? Fix: 10:50 AM Given: What is 176 minutes before 1:02 PM? Fix: 10:06 AM Given: How many minutes are there between 4:00 AM and 1:09 PM? Fix: 549 Given: What is 56 minutes before 7:28 AM? Fix: 6:32 AM Given: What is 209 minutes before 6:59 AM? Fix: 3:30 AM Given: How many minutes are there between 3:22 AM and 12:14 PM? Fix: 532 Given: What is 444 minutes after 2:33 AM? Fix: 9:57 AM Given: What is 51 minutes before 4:04 PM? Fix: 3:13 PM Given: What is 655 minutes after 5:29 AM? Fix: 4:24 PM Given: What is 428 minutes after 6:28 PM? Fix: 1:36 AM Given: What is 670 minutes after 6:52 PM? Fix: 6:02 AM Given: How many minutes are there between 3:30 AM and 5:45 AM? Fix: 135 Given: How many minutes are there between 11:30 AM and 3:25 PM? Fix: 235 Given: How many minutes are there between 3:24 AM and 1:00 PM? Fix: 576 Given: What is 110 minutes after 2:58 PM? Fix: 4:48 PM Given: What is 373 minutes after 8:14 AM? Fix: 2:27 PM Given: What is 491 minutes before 10:47 AM? Fix: 2:36 AM Given: What is 304 minutes after 11:10 AM? Fix: 4:14 PM Given: How many minutes are there between 9:51 PM and 1:47 AM? Fix: 236 Given: How many minutes are there between 8:04 AM and 10:49 AM? Fix: 165 Given: How many minutes are there between 2:24 PM and 9:05 PM? Fix: 401 Given: What is 578 minutes before 2:48 AM? Fix: 5:10 PM Given: How many minutes are there between 5:12 PM and 12:48 AM? Fix: 456 Given: What is 706 minutes before 2:04 AM? Fix: 2:18 PM Given: What is 102 minutes before 2:41 AM? Fix: 12:59 AM Given: How many minutes are there between 11:49 AM and 6:43 PM? Fix: 414 Given: How many minutes are there between 7:52 PM and 12:18 AM? Fix: 266 Given: What is 145 minutes after 8:46 AM? Fix: 11:11 AM Given: How many minutes are there between 2:53 PM and 6:59 PM? Fix: 246 Given: How many minutes are there between 7:07 AM and 12:30 PM? Fix: 323 Given: What is 104 minutes before 8:48 PM? Fix: 7:04 PM Given: What is 41 m
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numbers: gcd ------------ Statement: Calculate the greatest common divisor of 5875659 and 34. Answer: 17 Statement: Calculate the highest common divisor of 35808 and 120. Answer: 24 Statement: What is the greatest common divisor of 3276 and 637? Answer: 91 Statement: What is the highest common factor of 472343 and 191? Answer: 191 Statement: Calculate the highest common factor of 202 and 107969. Answer: 101 Statement: What is the greatest common divisor of 157476 and 4884? Answer: 132 Statement: Calculate the greatest common divisor of 126364 and 462. Answer: 14 Statement: What is the greatest common factor of 478191 and 1155? Answer: 21 Statement: Calculate the greatest common factor of 48 and 160. Answer: 16 Statement: Calculate the greatest common divisor of 915 and 5835. Answer: 15 Statement: Calculate the highest common factor of 95 and 29863459. Answer: 19 Statement: Calculate the greatest common divisor of 6838039 and 1586. Answer: 793 Statement: Calculate the greatest common factor of 193257 and 141840. Answer: 1773 Statement: Calculate the highest common factor of 30 and 60430340. Answer: 10 Statement: What is the highest common factor of 2360 and 529820? Answer: 1180 Statement: What is the highest common factor of 154818 and 1793217? Answer: 183 Statement: What is the greatest common factor of 18 and 1356792? Answer: 6 Statement: Calculate the greatest common factor of 570 and 1170. Answer: 30 Statement: Calculate the highest common factor of 98 and 28. Answer: 14 Statement: What is the highest common factor of 238 and 98? Answer: 14 Statement: Calculate the highest common divisor of 104 and 538835869. Answer: 13 Statement: What is the highest common divisor of 158935 and 29875? Answer: 1195 Statement: What is the greatest common divisor of 9753865 and 1090? Answer: 545 Statement: What is the greatest common divisor of 176 and 554444? Answer: 44 Statement: Calculate the greatest common divisor of 1734 and 3808. Answer: 34 Statement: What is the highest com
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numbers: place value -------------------- Given: What is the ten thousands digit of 74155002? Eval: 5 Given: What is the tens digit of 13908? Eval: 0 Given: What is the tens digit of 6631? Eval: 3 Given: What is the units digit of 40911? Eval: 1 Given: What is the hundred thousands digit of 301753155? Eval: 7 Given: What is the ten thousands digit of 601643435? Eval: 4 Given: What is the thousands digit of 747681506? Eval: 1 Given: What is the ten thousands digit of 19556382? Eval: 5 Given: What is the hundred thousands digit of 229454? Eval: 2 Given: What is the ten thousands digit of 26952? Eval: 2 Given: What is the ten thousands digit of 13957334? Eval: 5 Given: What is the thousands digit of 29296? Eval: 9 Given: What is the units digit of 97282? Eval: 2 Given: What is the ten millions digit of 17826835? Eval: 1 Given: What is the hundreds digit of 27592? Eval: 5 Given: What is the thousands digit of 13315600? Eval: 5 Given: What is the tens digit of 865? Eval: 6 Given: What is the hundreds digit of 875186? Eval: 1 Given: What is the hundred millions digit of 341925619? Eval: 3 Given: What is the hundreds digit of 16697? Eval: 6 Given: What is the millions digit of 37597879? Eval: 7 Given: What is the tens digit of 61559? Eval: 5 Given: What is the thousands digit of 8819821? Eval: 9 Given: What is the ten thousands digit of 55821? Eval: 5 Given: What is the hundreds digit of 378? Eval: 3 Given: What is the thousands digit of 1269? Eval: 1 Given: What is the hundreds digit of 66101? Eval: 1 Given: What is the units digit of 368? Eval: 8 Given: What is the units digit of 241213? Eval: 3 Given: What is the ten thousands digit of 24264? Eval: 2 Given: What is the hundreds digit of 169? Eval: 1 Given: What is the ten millions digit of 267865508? Eval: 6 Given: What is the units digit of 181? Eval: 1 Given: What is the hundreds digit of 21642? Eval: 6 Given: What is the units digit of 18326062? Eval: 2 Given: What is the units digit of 1894? Eval: 4 Given: What is t
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numbers: gcd ------------ Math Q: What is the highest common factor of 5 and 1879900? Compute: 5 Math Q: Calculate the highest common divisor of 17472 and 576240. Compute: 336 Math Q: What is the greatest common factor of 2058 and 32234496? Compute: 42 Math Q: What is the highest common divisor of 295 and 18703? Compute: 59 Math Q: What is the highest common factor of 102 and 136? Compute: 34 Math Q: Calculate the greatest common divisor of 126 and 220234. Compute: 14 Math Q: What is the highest common divisor of 6501 and 231? Compute: 33 Math Q: What is the highest common divisor of 6 and 114? Compute: 6 Math Q: Calculate the greatest common divisor of 2587 and 26. Compute: 13 Math Q: What is the highest common factor of 210 and 10434830? Compute: 70 Math Q: Calculate the greatest common factor of 347 and 49574849. Compute: 347 Math Q: What is the highest common factor of 53275 and 250? Compute: 25 Math Q: Calculate the highest common divisor of 199682 and 11424. Compute: 238 Math Q: What is the highest common divisor of 472 and 32332? Compute: 236 Math Q: What is the highest common divisor of 336 and 1904? Compute: 112 Math Q: What is the highest common divisor of 22962 and 167142? Compute: 534 Math Q: What is the greatest common divisor of 228473028 and 189? Compute: 189 Math Q: Calculate the greatest common factor of 81496688 and 2912. Compute: 1456 Math Q: Calculate the highest common factor of 20838 and 828. Compute: 138 Math Q: What is the greatest common divisor of 43560 and 36? Compute: 36 Math Q: What is the greatest common factor of 2584 and 23712? Compute: 152 Math Q: What is the highest common divisor of 37584 and 324945? Compute: 783 Math Q: Calculate the highest common factor of 413 and 236. Compute: 59 Math Q: Calculate the greatest common divisor of 391552 and 414. Compute: 46 Math Q: Calculate the greatest common factor of 437 and 202274. Compute: 19 Math Q: Calculate the highest common factor of 169 and 142337. Compute: 13 Math Q: Calculate the gr
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numbers: gcd ------------ Conundrum: Calculate the greatest common divisor of 3240 and 3966408. Math A: 648 Conundrum: Calculate the highest common factor of 703 and 1073. Math A: 37 Conundrum: Calculate the greatest common factor of 88 and 56012. Math A: 44 Conundrum: What is the greatest common divisor of 69 and 141? Math A: 3 Conundrum: What is the highest common divisor of 1416 and 190380? Math A: 12 Conundrum: What is the highest common divisor of 2006208 and 21384? Math A: 1944 Conundrum: What is the greatest common divisor of 920 and 25520340? Math A: 460 Conundrum: Calculate the highest common divisor of 54 and 1188. Math A: 54 Conundrum: What is the greatest common divisor of 6836613 and 9632? Math A: 301 Conundrum: What is the greatest common divisor of 72 and 6? Math A: 6 Conundrum: Calculate the highest common divisor of 4595 and 35. Math A: 5 Conundrum: Calculate the greatest common factor of 15776 and 170. Math A: 34 Conundrum: Calculate the highest common divisor of 20445 and 1218. Math A: 87 Conundrum: Calculate the highest common divisor of 272150 and 199450. Math A: 50 Conundrum: Calculate the greatest common factor of 1329600 and 1500. Math A: 300 Conundrum: What is the greatest common divisor of 36 and 6516? Math A: 36 Conundrum: Calculate the greatest common factor of 294 and 498. Math A: 6 Conundrum: Calculate the highest common divisor of 143908843 and 13. Math A: 13 Conundrum: Calculate the highest common factor of 108 and 1593. Math A: 27 Conundrum: Calculate the highest common divisor of 716786925 and 10. Math A: 5 Conundrum: Calculate the greatest common factor of 21 and 14. Math A: 7 Conundrum: Calculate the highest common factor of 150 and 834090. Math A: 30 Conundrum: Calculate the greatest common divisor of 1 and 3908423. Math A: 1 Conundrum: What is the highest common divisor of 6648 and 120? Math A: 24 Conundrum: What is the highest common divisor of 73 and 14016? Math A: 73 Conundrum: Calculate the highest common divisor of 15457 an
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numbers: div remainder ---------------------- Math Q: What is the remainder when 2504103 is divided by 46? β†’: 1 Math Q: What is the remainder when 602905375 is divided by 893? β†’: 890 Math Q: What is the remainder when 1015 is divided by 199? β†’: 20 Math Q: What is the remainder when 79497 is divided by 10? β†’: 7 Math Q: What is the remainder when 40139 is divided by 24? β†’: 11 Math Q: Calculate the remainder when 22373 is divided by 7455. β†’: 8 Math Q: What is the remainder when 8350408 is divided by 850? β†’: 8 Math Q: Calculate the remainder when 412 is divided by 5. β†’: 2 Math Q: Calculate the remainder when 1048 is divided by 222. β†’: 160 Math Q: Calculate the remainder when 803388 is divided by 5348. β†’: 1188 Math Q: What is the remainder when 449 is divided by 65? β†’: 59 Math Q: What is the remainder when 1861 is divided by 24? β†’: 13 Math Q: Calculate the remainder when 37829 is divided by 276. β†’: 17 Math Q: Calculate the remainder when 1586 is divided by 837. β†’: 749 Math Q: Calculate the remainder when 551 is divided by 33. β†’: 23 Math Q: Calculate the remainder when 21204805 is divided by 4682. β†’: 27 Math Q: Calculate the remainder when 4065 is divided by 2013. β†’: 39 Math Q: What is the remainder when 178 is divided by 30? β†’: 28 Math Q: Calculate the remainder when 341 is divided by 59. β†’: 46 Math Q: Calculate the remainder when 42438 is divided by 3991. β†’: 2528 Math Q: What is the remainder when 121124 is divided by 5264? β†’: 52 Math Q: What is the remainder when 153483 is divided by 9591? β†’: 27 Math Q: What is the remainder when 73110 is divided by 3479? β†’: 51 Math Q: Calculate the remainder when 36595 is divided by 132. β†’: 31 Math Q: What is the remainder when 4303 is divided by 140? β†’: 103 Math Q: Calculate the remainder when 1660972 is divided by 112. β†’: 12 Math Q: What is the remainder when 29986 is divided by 9909? β†’: 259 Math Q: Calculate the remainder when 5606 is divided by 66. β†’: 62 Math Q: What is the remainder when 810719 is divided by 288? β†’: 287 Math Q: W
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numbers: is factor ------------------ Problem: Is 1548 a multiple of 26? Final Answer: False Problem: Does 39 divide 39536478? Final Answer: False Problem: Is 9 a factor of 42832431? Final Answer: True Problem: Is 1789014 a multiple of 42? Final Answer: False Problem: Is 1499 a multiple of 4? Final Answer: False Problem: Does 9 divide 288? Final Answer: True Problem: Does 59 divide 5759108? Final Answer: True Problem: Is 765335937 a multiple of 784? Final Answer: False Problem: Is 52684 a multiple of 357? Final Answer: False Problem: Is 137 a factor of 52544843? Final Answer: True Problem: Is 21 a factor of 87179298? Final Answer: False Problem: Is 871 a multiple of 13? Final Answer: True Problem: Is 789 a multiple of 75? Final Answer: False Problem: Does 64 divide 75493? Final Answer: False Problem: Is 59549480 a multiple of 20? Final Answer: True Problem: Is 3032 a factor of 23273632? Final Answer: True Problem: Does 353 divide 1647451? Final Answer: True Problem: Is 17124 a multiple of 9? Final Answer: False Problem: Does 17 divide 406671? Final Answer: False Problem: Is 2724 a factor of 2229547266? Final Answer: False Problem: Does 22 divide 5676? Final Answer: True Problem: Is 17 a factor of 617718134? Final Answer: False Problem: Does 52 divide 277055? Final Answer: False Problem: Does 7 divide 2743265? Final Answer: True Problem: Is 9 a factor of 850? Final Answer: False Problem: Does 34 divide 20251131? Final Answer: False Problem: Is 5 a factor of 263? Final Answer: False Problem: Is 113157120 a multiple of 192? Final Answer: True Problem: Is 789769438 a multiple of 155? Final Answer: False Problem: Does 311 divide 1301846? Final Answer: True Problem: Does 147 divide 2713279? Final Answer: False Problem: Is 17 a factor of 2890? Final Answer: True Problem: Is 1199 a factor of 1359390230? Final Answer: True Problem: Does 96 divide 3761060? Final Answer: False Problem: Is 159 a factor of 152478? Final Answer: False Problem: Is 456 a multiple of 6? Final Answer
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arithmetic: nearest integer root -------------------------------- Challenge: What is 1205480 to the power of 1/3, to the nearest integer? Sol: 106 Challenge: What is the eighth root of 2184101990 to the nearest integer? Sol: 15 Challenge: What is the cube root of 19270 to the nearest integer? Sol: 27 Challenge: What is the cube root of 753016 to the nearest integer? Sol: 91 Challenge: What is the square root of 53513994 to the nearest integer? Sol: 7315 Challenge: What is the cube root of 75681054 to the nearest integer? Sol: 423 Challenge: What is the third root of 62901 to the nearest integer? Sol: 40 Challenge: What is the cube root of 53466188 to the nearest integer? Sol: 377 Challenge: What is the third root of 197605652 to the nearest integer? Sol: 582 Challenge: What is the seventh root of 456121 to the nearest integer? Sol: 6 Challenge: What is the seventh root of 21213368 to the nearest integer? Sol: 11 Challenge: What is the fourth root of 9508 to the nearest integer? Sol: 10 Challenge: What is the square root of 5435 to the nearest integer? Sol: 74 Challenge: What is the square root of 699638 to the nearest integer? Sol: 836 Challenge: What is the seventh root of 6334295 to the nearest integer? Sol: 9 Challenge: What is the square root of 14280227 to the nearest integer? Sol: 3779 Challenge: What is 9195 to the power of 1/2, to the nearest integer? Sol: 96 Challenge: What is the third root of 3732966 to the nearest integer? Sol: 155 Challenge: What is 3324891517 to the power of 1/2, to the nearest integer? Sol: 57662 Challenge: What is the square root of 30992 to the nearest integer? Sol: 176 Challenge: What is 92834 to the power of 1/3, to the nearest integer? Sol: 45 Challenge: What is 9201613 to the power of 1/3, to the nearest integer? Sol: 210 Challenge: What is the square root of 122798496 to the nearest integer? Sol: 11081 Challenge: What is the square root of 14376 to the nearest integer? Sol: 120 Challenge: What is 367102118 to the power of 1/3,
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probability: swr p level set ---------------------------- Q: What is prob of picking 2 s and 2 v when four letters picked without replacement from ssslssssscvsssscs? Derivation: 0 Q: Four letters picked without replacement from {m: 3, q: 9}. Give prob of picking 2 m and 2 q. Derivation: 12/55 Q: Calculate prob of picking 1 s and 2 z when three letters picked without replacement from {s: 6, y: 3, o: 1, b: 2, z: 2}. Derivation: 3/182 Q: Four letters picked without replacement from {h: 5, w: 3}. What is prob of picking 3 h and 1 w? Derivation: 3/7 Q: Two letters picked without replacement from {v: 2, b: 1, w: 1, g: 5, y: 8}. Give prob of picking 2 g. Derivation: 5/68 Q: What is prob of picking 3 w when three letters picked without replacement from {n: 1, w: 4, j: 2, b: 4}? Derivation: 4/165 Q: Four letters picked without replacement from {t: 4, q: 2, x: 2}. Give prob of picking 4 t. Derivation: 1/70 Q: Calculate prob of picking 2 o when two letters picked without replacement from {w: 2, o: 4, k: 1, i: 4}. Derivation: 6/55 Q: Calculate prob of picking 1 w and 3 o when four letters picked without replacement from {y: 1, k: 1, o: 9, w: 4}. Derivation: 16/65 Q: Three letters picked without replacement from {v: 2, d: 1, s: 7, l: 8}. What is prob of picking 1 l, 1 v, and 1 d? Derivation: 1/51 Q: Two letters picked without replacement from kkokkkkok. What is prob of picking 2 o? Derivation: 1/36 Q: Calculate prob of picking 1 g, 1 a, and 1 y when three letters picked without replacement from aagayagyyy. Derivation: 4/15 Q: Three letters picked without replacement from {i: 9, s: 5}. Give prob of picking 2 i and 1 s. Derivation: 45/91 Q: Four letters picked without replacement from ttbttzqqtzbbqtzqz. What is prob of picking 1 t, 1 z, and 2 b? Derivation: 18/595 Q: Four letters picked without replacement from pqpppqpqpqp. Give prob of picking 1 q and 3 p. Derivation: 14/33 Q: Calculate prob of picking 1 n, 1 r, and 1 v when three letters picked without replacement from jrvnn. De
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numbers: place value -------------------- Query: What is the ten thousands digit of 254952? Hence: 5 Query: What is the tens digit of 13751? Hence: 5 Query: What is the ten thousands digit of 1321098254? Hence: 9 Query: What is the thousands digit of 140892? Hence: 0 Query: What is the units digit of 13280554? Hence: 4 Query: What is the hundred thousands digit of 1572242? Hence: 5 Query: What is the millions digit of 364720983? Hence: 4 Query: What is the tens digit of 3095? Hence: 9 Query: What is the ten millions digit of 13916599? Hence: 1 Query: What is the thousands digit of 20608? Hence: 0 Query: What is the units digit of 16980999? Hence: 9 Query: What is the ten thousands digit of 670337471? Hence: 3 Query: What is the hundred millions digit of 120282054? Hence: 1 Query: What is the ten thousands digit of 2475304? Hence: 7 Query: What is the millions digit of 3299981? Hence: 3 Query: What is the units digit of 9133110? Hence: 0 Query: What is the ten thousands digit of 37985? Hence: 3 Query: What is the thousands digit of 39236210? Hence: 6 Query: What is the hundreds digit of 1404141? Hence: 1 Query: What is the thousands digit of 27213769? Hence: 3 Query: What is the tens digit of 182334? Hence: 3 Query: What is the tens digit of 366? Hence: 6 Query: What is the tens digit of 98534842? Hence: 4 Query: What is the hundreds digit of 103896? Hence: 8 Query: What is the units digit of 12329? Hence: 9 Query: What is the ten thousands digit of 4640281547? Hence: 8 Query: What is the hundreds digit of 710751? Hence: 7 Query: What is the hundreds digit of 97493090? Hence: 0 Query: What is the thousands digit of 4335? Hence: 4 Query: What is the thousands digit of 43510548? Hence: 0 Query: What is the hundred millions digit of 5044100771? Hence: 0 Query: What is the thousands digit of 1139? Hence: 1 Query: What is the ten thousands digit of 4566621? Hence: 6 Query: What is the hundred thousands digit of 335565280? Hence: 5 Query: What is the units digit of 3113? H
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numbers: gcd ------------ Problem Statement: What is the greatest common factor of 30 and 1830? Eval: 30 Problem Statement: Calculate the highest common divisor of 3 and 157467. Eval: 3 Problem Statement: What is the greatest common factor of 431 and 141096901? Eval: 431 Problem Statement: Calculate the highest common divisor of 440 and 3410. Eval: 110 Problem Statement: What is the highest common divisor of 454995 and 117? Eval: 9 Problem Statement: What is the greatest common factor of 29 and 1295111? Eval: 29 Problem Statement: Calculate the highest common factor of 529 and 35812771. Eval: 529 Problem Statement: Calculate the highest common divisor of 55 and 1507. Eval: 11 Problem Statement: What is the highest common divisor of 5 and 62285? Eval: 5 Problem Statement: What is the highest common factor of 2309272713 and 297? Eval: 297 Problem Statement: Calculate the greatest common divisor of 2891 and 77. Eval: 7 Problem Statement: What is the greatest common divisor of 52766 and 49? Eval: 7 Problem Statement: Calculate the greatest common divisor of 954084 and 228. Eval: 12 Problem Statement: What is the highest common divisor of 26 and 1898? Eval: 26 Problem Statement: What is the greatest common divisor of 4352 and 320? Eval: 64 Problem Statement: What is the highest common factor of 15 and 1440? Eval: 15 Problem Statement: What is the highest common factor of 200 and 3510525? Eval: 25 Problem Statement: What is the greatest common factor of 1313 and 13? Eval: 13 Problem Statement: Calculate the highest common factor of 558 and 18. Eval: 18 Problem Statement: Calculate the greatest common factor of 1976 and 104. Eval: 104 Problem Statement: Calculate the greatest common factor of 725492 and 53204. Eval: 188 Problem Statement: What is the greatest common divisor of 16 and 272? Eval: 16 Problem Statement: What is the greatest common divisor of 797040 and 3683070? Eval: 810 Problem Statement: What is the highest common factor of 1947194 and 102? Eval: 2 Problem S
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probability: swr p sequence --------------------------- Task: Calculate prob of sequence hsh when three letters picked without replacement from hohyoooohsoo. Calculation: 1/220 Task: Three letters picked without replacement from llllllclcc. What is prob of sequence ccl? Calculation: 7/120 Task: Calculate prob of sequence ci when two letters picked without replacement from {i: 2, n: 7, c: 4, g: 1}. Calculation: 4/91 Task: What is prob of sequence pppp when four letters picked without replacement from {p: 7}? Calculation: 1 Task: Four letters picked without replacement from {u: 2, g: 6, d: 8, l: 3}. Give prob of sequence ulud. Calculation: 1/1938 Task: Calculate prob of sequence hhh when three letters picked without replacement from {h: 3, g: 2}. Calculation: 1/10 Task: Three letters picked without replacement from {p: 1, v: 2, d: 4, y: 4}. Give prob of sequence dpp. Calculation: 0 Task: Two letters picked without replacement from {f: 3, y: 1, b: 1}. What is prob of sequence yb? Calculation: 1/20 Task: What is prob of sequence ho when two letters picked without replacement from {o: 1, h: 4, m: 1, d: 2}? Calculation: 1/14 Task: Two letters picked without replacement from tyytttttt. What is prob of sequence tt? Calculation: 7/12 Task: What is prob of sequence czt when three letters picked without replacement from {x: 1, t: 2, w: 2, c: 1, n: 4, z: 2}? Calculation: 1/330 Task: Three letters picked without replacement from affaaaafppaffa. What is prob of sequence paa? Calculation: 1/26 Task: Two letters picked without replacement from {w: 2, u: 6}. Give prob of sequence uu. Calculation: 15/28 Task: Calculate prob of sequence typ when three letters picked without replacement from {y: 1, t: 1, p: 2, v: 2}. Calculation: 1/60 Task: What is prob of sequence dd when two letters picked without replacement from dskssxdszdsso? Calculation: 1/26 Task: Calculate prob of sequence kkt when three letters picked without replacement from ktktttkktkkk. Calculation: 7/44 Task: Two letters p
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measurement: conversion ----------------------- Qn: What is 13/8 of a gram in milligrams? Resolution: 1625 Qn: Convert 0.1727355ml to litres. Resolution: 0.0001727355 Qn: How many millilitres are there in 3/50 of a litre? Resolution: 60 Qn: How many millimeters are there in 27/2 of a meter? Resolution: 13500 Qn: What is 8/25 of a kilometer in centimeters? Resolution: 32000 Qn: Convert 848.6699 millilitres to litres. Resolution: 0.8486699 Qn: What is 3/8 of a century in months? Resolution: 450 Qn: How many kilograms are there in one tenth of a tonne? Resolution: 100 Qn: What is 17/10 of a centimeter in millimeters? Resolution: 17 Qn: What is 7/6 of a minute in seconds? Resolution: 70 Qn: What is 0.3205856km in meters? Resolution: 320.5856 Qn: Convert 2.189326g to tonnes. Resolution: 0.000002189326 Qn: How many years are there in 25638.71 millennia? Resolution: 25638710 Qn: Convert 0.5489446km to meters. Resolution: 548.9446 Qn: What is 0.680691 kilometers in nanometers? Resolution: 680691000000 Qn: Convert 950503.4 decades to centuries. Resolution: 95050.34 Qn: How many micrometers are there in seven halves of a centimeter? Resolution: 35000 Qn: How many months are there in one fifth of a decade? Resolution: 24 Qn: How many minutes are there in 15.95732 weeks? Resolution: 160849.7856 Qn: What is 45/2 of a litre in millilitres? Resolution: 22500 Qn: How many decades are there in 51/2 of a millennium? Resolution: 2550 Qn: How many centuries are there in 19771.617 months? Resolution: 16.4763475 Qn: Convert 76.5544ml to litres. Resolution: 0.0765544 Qn: How many months are there in twenty-five quarters of a millennium? Resolution: 75000 Qn: How many minutes are there in nine tenths of a hour? Resolution: 54 Qn: How many millimeters are there in 810475.7 nanometers? Resolution: 0.8104757 Qn: What is five eighths of a milligram in micrograms? Resolution: 625 Qn: What is seventy-one quarters of a millimeter in micrometers? Resolution: 17750 Qn: How many minutes are there in
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numbers: div remainder ---------------------- Task: What is the remainder when 5885 is divided by 588? Outcome: 5 Task: Calculate the remainder when 164058 is divided by 55. Outcome: 48 Task: What is the remainder when 593 is divided by 237? Outcome: 119 Task: Calculate the remainder when 576 is divided by 38. Outcome: 6 Task: What is the remainder when 29676352 is divided by 7419080? Outcome: 32 Task: What is the remainder when 48820 is divided by 526? Outcome: 428 Task: Calculate the remainder when 22921 is divided by 6601. Outcome: 3118 Task: What is the remainder when 6152 is divided by 44? Outcome: 36 Task: Calculate the remainder when 8556633 is divided by 284. Outcome: 281 Task: What is the remainder when 841231 is divided by 5259? Outcome: 5050 Task: What is the remainder when 1320219 is divided by 6? Outcome: 3 Task: Calculate the remainder when 5974 is divided by 1622. Outcome: 1108 Task: Calculate the remainder when 1093290 is divided by 545166. Outcome: 2958 Task: What is the remainder when 184320 is divided by 134? Outcome: 70 Task: Calculate the remainder when 5007 is divided by 147. Outcome: 9 Task: What is the remainder when 705 is divided by 118? Outcome: 115 Task: What is the remainder when 8275859 is divided by 7? Outcome: 4 Task: Calculate the remainder when 13222 is divided by 115. Outcome: 112 Task: What is the remainder when 2544 is divided by 143? Outcome: 113 Task: Calculate the remainder when 18787 is divided by 767. Outcome: 379 Task: Calculate the remainder when 89738 is divided by 3451. Outcome: 12 Task: What is the remainder when 4060007 is divided by 11? Outcome: 6 Task: What is the remainder when 14010985 is divided by 12226? Outcome: 12215 Task: Calculate the remainder when 116 is divided by 7. Outcome: 4 Task: What is the remainder when 4072 is divided by 9? Outcome: 4 Task: What is the remainder when 1551569 is divided by 614? Outcome: 605 Task: Calculate the remainder when 29115 is divided by 2238. Outcome: 21 Task: What is the re
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numbers: is factor ------------------ Ask: Does 21 divide 9099? Solution: False Ask: Does 9 divide 36468? Solution: True Ask: Is 28 a factor of 89147? Solution: False Ask: Does 28 divide 2660? Solution: True Ask: Is 1319958576 a multiple of 144? Solution: True Ask: Does 79 divide 514617376? Solution: True Ask: Is 17406 a multiple of 17? Solution: False Ask: Is 8769138 a multiple of 147? Solution: True Ask: Does 526 divide 201595812? Solution: True Ask: Is 14306 a multiple of 23? Solution: True Ask: Does 20 divide 14059590? Solution: False Ask: Is 487 a factor of 230300860? Solution: False Ask: Is 141 a factor of 348373? Solution: False Ask: Is 15 a factor of 2102820? Solution: True Ask: Is 225 a factor of 33975? Solution: True Ask: Is 496639 a multiple of 23? Solution: True Ask: Is 381798126 a multiple of 1509? Solution: True Ask: Is 765 a multiple of 17? Solution: True Ask: Does 2 divide 168233030? Solution: True Ask: Is 828 a multiple of 18? Solution: True Ask: Is 6992 a multiple of 2? Solution: True Ask: Is 7 a factor of 84595? Solution: True Ask: Is 7972 a multiple of 35? Solution: False Ask: Is 2064916 a multiple of 4? Solution: True Ask: Is 6779 a multiple of 5? Solution: False Ask: Does 20 divide 2902? Solution: False Ask: Does 130 divide 16345401? Solution: False Ask: Is 11 a factor of 4548546? Solution: False Ask: Is 13749 a multiple of 6? Solution: False Ask: Is 15 a factor of 3812? Solution: False Ask: Is 361989284 a multiple of 946? Solution: False Ask: Is 3155 a factor of 64834031? Solution: False Ask: Is 221703408 a multiple of 83? Solution: False Ask: Is 553 a factor of 25506019? Solution: True Ask: Is 10 a factor of 33170? Solution: True Ask: Is 9 a factor of 101301588? Solution: True Ask: Is 3770 a multiple of 13? Solution: True Ask: Does 67 divide 7011874? Solution: False Ask: Is 918396 a multiple of 582? Solution: True Ask: Does 15 divide 2625? Solution: True Ask: Is 7 a factor of 5143? Solution: False Ask: Is 1122 a multiple of 33? Solution: True
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numbers: gcd ------------ Exercise: What is the highest common divisor of 270 and 327330? Solution: 90 Exercise: Calculate the greatest common factor of 767327 and 1738. Solution: 869 Exercise: Calculate the greatest common divisor of 42 and 1454133072. Solution: 42 Exercise: Calculate the highest common factor of 17472120 and 1140. Solution: 60 Exercise: What is the greatest common divisor of 846 and 36942? Solution: 282 Exercise: Calculate the highest common divisor of 38 and 31064297. Solution: 19 Exercise: What is the greatest common divisor of 162 and 513? Solution: 27 Exercise: What is the greatest common factor of 18009 and 1305? Solution: 261 Exercise: What is the highest common factor of 14522 and 548? Solution: 274 Exercise: What is the greatest common divisor of 344 and 9710174? Solution: 86 Exercise: What is the highest common factor of 154 and 198? Solution: 22 Exercise: Calculate the greatest common divisor of 9447 and 461697. Solution: 201 Exercise: What is the greatest common factor of 813 and 247976653? Solution: 271 Exercise: Calculate the greatest common divisor of 7 and 3024. Solution: 7 Exercise: What is the highest common divisor of 248 and 205168? Solution: 8 Exercise: What is the greatest common divisor of 14130112 and 32? Solution: 32 Exercise: What is the greatest common divisor of 1837 and 81997? Solution: 167 Exercise: What is the greatest common factor of 31724222 and 12834? Solution: 1426 Exercise: What is the highest common factor of 342 and 855? Solution: 171 Exercise: What is the greatest common divisor of 167 and 560452000? Solution: 167 Exercise: Calculate the highest common factor of 18 and 15694. Solution: 2 Exercise: Calculate the highest common divisor of 2020 and 320. Solution: 20 Exercise: What is the highest common divisor of 296 and 45937128? Solution: 296 Exercise: What is the highest common divisor of 529 and 277495? Solution: 23 Exercise: What is the greatest common factor of 13 and 1534? Solution: 13 Exercise: Calculate
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numbers: place value -------------------- Scenario: What is the hundreds digit of 1074? Reply: 0 Scenario: What is the thousands digit of 2206507172? Reply: 7 Scenario: What is the thousands digit of 22514? Reply: 2 Scenario: What is the units digit of 5313? Reply: 3 Scenario: What is the millions digit of 7354490? Reply: 7 Scenario: What is the tens digit of 67729? Reply: 2 Scenario: What is the ten thousands digit of 761996? Reply: 6 Scenario: What is the ten thousands digit of 132459? Reply: 3 Scenario: What is the thousands digit of 28177? Reply: 8 Scenario: What is the ten millions digit of 239580855? Reply: 3 Scenario: What is the hundreds digit of 414167? Reply: 1 Scenario: What is the units digit of 1415972511? Reply: 1 Scenario: What is the tens digit of 1982851? Reply: 5 Scenario: What is the hundreds digit of 1429? Reply: 4 Scenario: What is the units digit of 398? Reply: 8 Scenario: What is the hundreds digit of 2061? Reply: 0 Scenario: What is the hundreds digit of 8131030? Reply: 0 Scenario: What is the thousands digit of 2388014? Reply: 8 Scenario: What is the ten thousands digit of 306338? Reply: 0 Scenario: What is the thousands digit of 2174? Reply: 2 Scenario: What is the ten thousands digit of 18751? Reply: 1 Scenario: What is the hundreds digit of 2764? Reply: 7 Scenario: What is the thousands digit of 8827? Reply: 8 Scenario: What is the hundred thousands digit of 229794229? Reply: 7 Scenario: What is the hundreds digit of 3458? Reply: 4 Scenario: What is the tens digit of 379394291? Reply: 9 Scenario: What is the units digit of 91743? Reply: 3 Scenario: What is the thousands digit of 2976? Reply: 2 Scenario: What is the tens digit of 100711? Reply: 1 Scenario: What is the hundred thousands digit of 415921? Reply: 4 Scenario: What is the ten thousands digit of 494198? Reply: 9 Scenario: What is the hundred thousands digit of 404468? Reply: 4 Scenario: What is the tens digit of 325342? Reply: 4 Scenario: What is the ten millions digit of 3419087
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numbers: place value -------------------- Q=: What is the thousands digit of 280054553? Derivation: 4 Q=: What is the tens digit of 2835834625? Derivation: 2 Q=: What is the tens digit of 400638810? Derivation: 1 Q=: What is the ten thousands digit of 926616? Derivation: 2 Q=: What is the millions digit of 500727879? Derivation: 0 Q=: What is the thousands digit of 3856248? Derivation: 6 Q=: What is the ten thousands digit of 18005? Derivation: 1 Q=: What is the hundred thousands digit of 502707? Derivation: 5 Q=: What is the billions digit of 1024388997? Derivation: 1 Q=: What is the tens digit of 228850? Derivation: 5 Q=: What is the millions digit of 331828260? Derivation: 1 Q=: What is the thousands digit of 1941273? Derivation: 1 Q=: What is the thousands digit of 145437949? Derivation: 7 Q=: What is the billions digit of 3652699391? Derivation: 3 Q=: What is the hundred millions digit of 111863555? Derivation: 1 Q=: What is the units digit of 202290? Derivation: 0 Q=: What is the hundred thousands digit of 387857390? Derivation: 8 Q=: What is the thousands digit of 1121077621? Derivation: 7 Q=: What is the thousands digit of 156452660? Derivation: 2 Q=: What is the tens digit of 19358? Derivation: 5 Q=: What is the ten thousands digit of 26293? Derivation: 2 Q=: What is the hundreds digit of 17325991? Derivation: 9 Q=: What is the hundred millions digit of 5299446607? Derivation: 2 Q=: What is the millions digit of 1061291? Derivation: 1 Q=: What is the tens digit of 35407? Derivation: 0 Q=: What is the thousands digit of 1771? Derivation: 1 Q=: What is the units digit of 4653602838? Derivation: 8 Q=: What is the hundred thousands digit of 4486260? Derivation: 4 Q=: What is the hundred thousands digit of 57292312? Derivation: 2 Q=: What is the hundred thousands digit of 414715? Derivation: 4 Q=: What is the millions digit of 3321772? Derivation: 3 Q=: What is the millions digit of 3424417974? Derivation: 4 Q=: What is the units digit of 416? Derivation: 6 Q=:
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numbers: gcd ------------ Q: Calculate the greatest common factor of 1615432 and 26. Math A: 26 Q: Calculate the greatest common divisor of 741 and 687363. Math A: 57 Q: What is the highest common divisor of 6262 and 2626? Math A: 202 Q: What is the highest common divisor of 31395412 and 6224? Math A: 1556 Q: What is the greatest common factor of 3757987 and 307? Math A: 307 Q: What is the highest common factor of 140244 and 238641? Math A: 1131 Q: What is the greatest common divisor of 117325 and 12025? Math A: 325 Q: What is the greatest common factor of 310334 and 2? Math A: 2 Q: Calculate the greatest common factor of 2761 and 11. Math A: 11 Q: Calculate the highest common factor of 2716 and 28. Math A: 28 Q: Calculate the highest common divisor of 87692 and 1188. Math A: 44 Q: What is the highest common factor of 545 and 4033? Math A: 109 Q: Calculate the greatest common factor of 14 and 1358. Math A: 14 Q: Calculate the greatest common factor of 404 and 4749828. Math A: 404 Q: What is the greatest common divisor of 2747110 and 20? Math A: 10 Q: What is the highest common factor of 379536 and 48? Math A: 48 Q: What is the greatest common factor of 131083 and 3179460? Math A: 2789 Q: What is the highest common factor of 150388 and 372? Math A: 4 Q: What is the greatest common divisor of 58025202 and 47082? Math A: 6726 Q: Calculate the greatest common divisor of 24254 and 737. Math A: 67 Q: Calculate the greatest common divisor of 406460 and 220. Math A: 20 Q: What is the greatest common divisor of 774506828 and 18608? Math A: 4652 Q: Calculate the highest common factor of 36 and 600724. Math A: 4 Q: What is the highest common divisor of 22058242 and 52900? Math A: 1058 Q: Calculate the greatest common factor of 713 and 31. Math A: 31 Q: Calculate the greatest common divisor of 10400 and 132180. Math A: 20 Q: Calculate the greatest common divisor of 12 and 194772. Math A: 12 Q: What is the greatest common divisor of 10 and 430? Math A: 10 Q: Calculate the greate
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probability: swr p level set ---------------------------- Situation: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from xpipixccp. Derivation: 1/14 Situation: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from {w: 4, h: 3, d: 1, c: 1, z: 3, f: 3}. Derivation: 3/35 Situation: What is prob of picking 1 a and 2 h when three letters picked without replacement from hhhhahhaaahzzhhhhhhz? Derivation: 26/95 Situation: Two letters picked without replacement from {h: 1, d: 1, o: 2, b: 1, s: 2}. What is prob of picking 1 b and 1 h? Derivation: 1/21 Situation: What is prob of picking 1 h and 1 w when two letters picked without replacement from {w: 1, h: 16, k: 1}? Derivation: 16/153 Situation: What is prob of picking 2 q when two letters picked without replacement from qqqqqqqqqvqqqqqqqq? Derivation: 8/9 Situation: Two letters picked without replacement from ooosk. Give prob of picking 1 s and 1 k. Derivation: 1/10 Situation: Four letters picked without replacement from {b: 3, k: 1, l: 13}. Give prob of picking 2 l and 2 b. Derivation: 117/1190 Situation: What is prob of picking 2 k, 1 p, and 1 l when four letters picked without replacement from {l: 2, p: 1, a: 4, t: 2, d: 1, k: 2}? Derivation: 2/495 Situation: Two letters picked without replacement from {p: 4, i: 4, r: 9}. Give prob of picking 2 i. Derivation: 3/68 Situation: What is prob of picking 1 p and 1 x when two letters picked without replacement from pssppszllplaxl? Derivation: 4/91 Situation: What is prob of picking 2 b and 1 a when three letters picked without replacement from aawbbkbbwa? Derivation: 3/20 Situation: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from wtqtttwrwrwrqr. Derivation: 8/91 Situation: What is prob of picking 1 d and 2 w when three letters picked without replacement from {b: 4, z: 1, d: 2, l: 2, e: 1, w: 2}? Derivation: 1/110 Situation: Two letters picked without replacement from {f:
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probability: swr p sequence --------------------------- Let us solve: Calculate prob of sequence ffo when three letters picked without replacement from qwwqjjjfqjfjwfo. Therefore: 1/455 Let us solve: Calculate prob of sequence sey when three letters picked without replacement from lynelhes. Therefore: 1/168 Let us solve: What is prob of sequence yy when two letters picked without replacement from kkyknkkyyyykyk? Therefore: 15/91 Let us solve: Two letters picked without replacement from kmmbbmbkmbkmmk. What is prob of sequence km? Therefore: 12/91 Let us solve: Three letters picked without replacement from ovdkobbvyoboo. Give prob of sequence ydk. Therefore: 1/1716 Let us solve: What is prob of sequence id when two letters picked without replacement from ihddbbbddcddhki? Therefore: 2/35 Let us solve: Calculate prob of sequence gu when two letters picked without replacement from {n: 2, g: 5, u: 3}. Therefore: 1/6 Let us solve: Calculate prob of sequence hfh when three letters picked without replacement from {h: 2, f: 18}. Therefore: 1/190 Let us solve: Calculate prob of sequence elle when four letters picked without replacement from {l: 3, o: 7, e: 2}. Therefore: 1/990 Let us solve: What is prob of sequence aiy when three letters picked without replacement from {k: 7, i: 6, a: 1, y: 1}? Therefore: 1/455 Let us solve: Four letters picked without replacement from uelrb. What is prob of sequence ulru? Therefore: 0 Let us solve: Calculate prob of sequence bbnn when four letters picked without replacement from bbbnnbnnddbbbn. Therefore: 5/143 Let us solve: Three letters picked without replacement from {p: 2, b: 1, r: 4, d: 1, c: 1}. Give prob of sequence rrb. Therefore: 1/42 Let us solve: Three letters picked without replacement from wbxbxbxwxb. Give prob of sequence wxw. Therefore: 1/90 Let us solve: Three letters picked without replacement from {x: 2, o: 4, j: 3, s: 9}. Give prob of sequence xxs. Therefore: 1/272 Let us solve: Two letters picked without replacement from
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probability: swr p sequence --------------------------- Prompt: Calculate prob of sequence ll when two letters picked without replacement from lpplplprzlr. Interpretation: 6/55 Prompt: Three letters picked without replacement from eeeeeeeeee. What is prob of sequence eee? Interpretation: 1 Prompt: Two letters picked without replacement from {r: 2, u: 1, d: 3, w: 2, h: 3, c: 3}. What is prob of sequence wr? Interpretation: 2/91 Prompt: Four letters picked without replacement from liiuiiiluipppniic. What is prob of sequence llnc? Interpretation: 1/28560 Prompt: What is prob of sequence wj when two letters picked without replacement from wjwi? Interpretation: 1/6 Prompt: Two letters picked without replacement from qaqakkkqkaqakkk. Give prob of sequence ak. Interpretation: 2/15 Prompt: Four letters picked without replacement from csctstctcitsttccsts. Give prob of sequence sitt. Interpretation: 35/15504 Prompt: Calculate prob of sequence xx when two letters picked without replacement from {z: 2, x: 11}. Interpretation: 55/78 Prompt: Two letters picked without replacement from ssscszansa. Give prob of sequence sa. Interpretation: 1/9 Prompt: Calculate prob of sequence kzk when three letters picked without replacement from {f: 1, z: 1, k: 5, w: 1, r: 1}. Interpretation: 5/126 Prompt: Three letters picked without replacement from {y: 2, b: 1}. What is prob of sequence byb? Interpretation: 0 Prompt: What is prob of sequence aad when three letters picked without replacement from {t: 3, d: 5, a: 2}? Interpretation: 1/72 Prompt: Four letters picked without replacement from {k: 12, p: 4, e: 2, v: 1}. Give prob of sequence pppp. Interpretation: 1/3876 Prompt: Three letters picked without replacement from ttsttsstst. Give prob of sequence tss. Interpretation: 1/10 Prompt: Three letters picked without replacement from nrdrdrrardadn. Give prob of sequence nrd. Interpretation: 10/429 Prompt: Four letters picked without replacement from oomhuuuomum. Give prob of sequence omhu. Interpr
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numbers: is prime ----------------- Prompt: Is 56103 a prime number? Result: False Prompt: Is 3737008361 composite? Result: False Prompt: Is 76841417 composite? Result: True Prompt: Is 368911 composite? Result: False Prompt: Is 115033241 a prime number? Result: False Prompt: Is 60491 a composite number? Result: True Prompt: Is 3163 prime? Result: True Prompt: Is 101474621 a composite number? Result: False Prompt: Is 14946589 prime? Result: False Prompt: Is 30725909 prime? Result: False Prompt: Is 4909 a prime number? Result: True Prompt: Is 6841 a composite number? Result: False Prompt: Is 375871 composite? Result: True Prompt: Is 9264667 composite? Result: False Prompt: Is 221159 prime? Result: True Prompt: Is 3235536347 prime? Result: True Prompt: Is 783641 a composite number? Result: False Prompt: Is 220921 a prime number? Result: False Prompt: Is 1072772819 composite? Result: False Prompt: Is 175679 a prime number? Result: False Prompt: Is 1336236479 prime? Result: True Prompt: Is 985544053 a prime number? Result: False Prompt: Is 7896319 composite? Result: True Prompt: Is 50149573 a prime number? Result: True Prompt: Is 376283 a composite number? Result: False Prompt: Is 14992253 prime? Result: True Prompt: Is 2047385 a composite number? Result: True Prompt: Is 436292401 a composite number? Result: True Prompt: Is 2072911 composite? Result: True Prompt: Is 364499 prime? Result: True Prompt: Is 926753 prime? Result: False Prompt: Is 1018527811 composite? Result: True Prompt: Is 9313 a composite number? Result: True Prompt: Is 7152751 a prime number? Result: True Prompt: Is 10443562 a prime number? Result: False Prompt: Is 15439 a composite number? Result: False Prompt: Is 12499 composite? Result: True Prompt: Is 27139154209 a composite number? Result: False Prompt: Is 501563 a composite number? Result: False Prompt: Is 2366009 composite? Result: True Prompt: Is 9587 prime? Result: True Prompt: Is 806223661 prime? Result: True Prompt: Is 513811 composite? Result:
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numbers: div remainder ---------------------- Inquiry: What is the remainder when 101161 is divided by 1212? Conclusion: 565 Inquiry: Calculate the remainder when 351290 is divided by 124. Conclusion: 122 Inquiry: What is the remainder when 881154 is divided by 440085? Conclusion: 984 Inquiry: Calculate the remainder when 302447 is divided by 100811. Conclusion: 14 Inquiry: Calculate the remainder when 7165924 is divided by 387. Conclusion: 232 Inquiry: Calculate the remainder when 12020394 is divided by 4006759. Conclusion: 117 Inquiry: What is the remainder when 1436 is divided by 105? Conclusion: 71 Inquiry: Calculate the remainder when 2271332 is divided by 1893. Conclusion: 1625 Inquiry: What is the remainder when 15095478 is divided by 5031805? Conclusion: 63 Inquiry: What is the remainder when 413 is divided by 96? Conclusion: 29 Inquiry: What is the remainder when 29234559 is divided by 92? Conclusion: 87 Inquiry: Calculate the remainder when 568959 is divided by 241. Conclusion: 199 Inquiry: What is the remainder when 5014 is divided by 26? Conclusion: 22 Inquiry: Calculate the remainder when 164321 is divided by 40177. Conclusion: 3613 Inquiry: What is the remainder when 129984549 is divided by 1550? Conclusion: 1549 Inquiry: What is the remainder when 243465 is divided by 6187? Conclusion: 2172 Inquiry: What is the remainder when 362 is divided by 28? Conclusion: 26 Inquiry: What is the remainder when 588134 is divided by 196037? Conclusion: 23 Inquiry: Calculate the remainder when 5391 is divided by 31. Conclusion: 28 Inquiry: What is the remainder when 516 is divided by 25? Conclusion: 16 Inquiry: Calculate the remainder when 238547 is divided by 650. Conclusion: 647 Inquiry: Calculate the remainder when 2966 is divided by 96. Conclusion: 86 Inquiry: Calculate the remainder when 585 is divided by 97. Conclusion: 3 Inquiry: What is the remainder when 109438 is divided by 77? Conclusion: 21 Inquiry: Calculate the remainder when 2033 is divided by 591. Con
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numbers: gcd ------------ Q.: Calculate the greatest common divisor of 1160 and 17110. Solution: 290 Q.: What is the greatest common divisor of 12114 and 138? Solution: 6 Q.: What is the greatest common factor of 44 and 66? Solution: 22 Q.: What is the greatest common factor of 402 and 1523781? Solution: 201 Q.: What is the greatest common divisor of 133 and 1463? Solution: 133 Q.: Calculate the greatest common divisor of 20 and 2379110. Solution: 10 Q.: Calculate the greatest common factor of 4202 and 110. Solution: 22 Q.: What is the highest common divisor of 477 and 3057570? Solution: 477 Q.: What is the highest common divisor of 11 and 6424? Solution: 11 Q.: What is the greatest common factor of 30872 and 3111? Solution: 17 Q.: What is the greatest common divisor of 2712 and 2847996? Solution: 12 Q.: What is the highest common divisor of 724 and 324? Solution: 4 Q.: What is the greatest common divisor of 2726 and 58? Solution: 58 Q.: Calculate the highest common divisor of 760 and 166751999. Solution: 19 Q.: What is the greatest common factor of 307 and 7463784? Solution: 307 Q.: Calculate the greatest common factor of 88 and 9647. Solution: 11 Q.: Calculate the greatest common divisor of 11170 and 470. Solution: 10 Q.: What is the greatest common factor of 291203 and 466155? Solution: 1151 Q.: Calculate the greatest common factor of 122 and 77348. Solution: 122 Q.: What is the greatest common factor of 165471 and 7182? Solution: 57 Q.: What is the highest common divisor of 1755 and 558360? Solution: 135 Q.: Calculate the highest common divisor of 5699 and 1189. Solution: 41 Q.: What is the highest common divisor of 24520301 and 14507? Solution: 89 Q.: What is the greatest common divisor of 2959 and 4631? Solution: 11 Q.: Calculate the highest common factor of 71 and 1349. Solution: 71 Q.: What is the greatest common factor of 286 and 770? Solution: 22 Q.: Calculate the highest common factor of 91 and 559. Solution: 13 Q.: Calculate the highest common divisor of
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numbers: lcm ------------ Math Problem: What is the least common multiple of 27 and 147? Therefore: 1323 Math Problem: What is the common denominator of 139/120 and 113/3810? Therefore: 15240 Math Problem: What is the smallest common multiple of 3452274 and 351? Therefore: 44879562 Math Problem: Find the common denominator of -43/35 and 19/357. Therefore: 1785 Math Problem: What is the lowest common multiple of 8764 and 588? Therefore: 184044 Math Problem: Calculate the least common multiple of 1635 and 9. Therefore: 4905 Math Problem: Find the common denominator of 167/45180 and -19/4264992. Therefore: 21324960 Math Problem: What is the smallest common multiple of 46844 and 257642? Therefore: 515284 Math Problem: What is the common denominator of 19/827604 and -103/137934? Therefore: 827604 Math Problem: Calculate the smallest common multiple of 233930 and 2512. Therefore: 1871440 Math Problem: Calculate the lowest common multiple of 86064930 and 637518. Therefore: 86064930 Math Problem: Calculate the common denominator of -43/441468 and 95/12361104. Therefore: 12361104 Math Problem: Calculate the least common multiple of 23576 and 325448. Therefore: 959095256 Math Problem: What is the common denominator of 211/2188200 and 163/547050? Therefore: 2188200 Math Problem: Calculate the common denominator of -73/35 and 53/3370. Therefore: 23590 Math Problem: What is the smallest common multiple of 1002272 and 48? Therefore: 3006816 Math Problem: Find the common denominator of 27/10 and -131/30. Therefore: 30 Math Problem: Calculate the common denominator of -119/309174 and -25/927522. Therefore: 927522 Math Problem: What is the common denominator of -67/1582 and -25/9674? Therefore: 1093162 Math Problem: What is the smallest common multiple of 20 and 1820? Therefore: 1820 Math Problem: Calculate the common denominator of -37/150 and -139/300. Therefore: 300 Math Problem: Find the common denominator of -1/84575 and 14/969. Therefore: 4820775 Math Problem: What is the comm
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probability: swr p sequence --------------------------- Question: Calculate prob of sequence cuc when three letters picked without replacement from iccciuuiicuuuchf. Eval: 5/168 Question: Four letters picked without replacement from eejddjjejedddd. Give prob of sequence eede. Eval: 6/1001 Question: Calculate prob of sequence lll when three letters picked without replacement from lllllllulull. Eval: 6/11 Question: Calculate prob of sequence pj when two letters picked without replacement from {j: 2, d: 2, p: 5}. Eval: 5/36 Question: What is prob of sequence qrh when three letters picked without replacement from rqhqqqch? Eval: 1/42 Question: Two letters picked without replacement from {x: 1, d: 2, s: 1, t: 4}. Give prob of sequence xs. Eval: 1/56 Question: Two letters picked without replacement from {e: 1, c: 1, h: 1, z: 4, s: 1}. Give prob of sequence ch. Eval: 1/56 Question: What is prob of sequence sb when two letters picked without replacement from ssbbswhwswwwee? Eval: 4/91 Question: Four letters picked without replacement from mxxgmdgodgogsxggog. What is prob of sequence gdgo? Eval: 7/2040 Question: Four letters picked without replacement from {w: 2, z: 2, f: 1, c: 1, v: 1, u: 1}. What is prob of sequence ffwf? Eval: 0 Question: What is prob of sequence ce when two letters picked without replacement from mcemr? Eval: 1/20 Question: Calculate prob of sequence hhtv when four letters picked without replacement from vtvhtttvtvhhvvt. Eval: 3/455 Question: Two letters picked without replacement from {l: 18, t: 2}. Give prob of sequence tl. Eval: 9/95 Question: What is prob of sequence kso when three letters picked without replacement from {o: 5, k: 2, s: 7}? Eval: 5/156 Question: Calculate prob of sequence pk when two letters picked without replacement from ppopzzppke. Eval: 1/18 Question: Two letters picked without replacement from {d: 2, o: 1, a: 1, e: 1}. Give prob of sequence oo. Eval: 0 Question: Three letters picked without replacement from {d: 2, e: 2}. What is
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numbers: place value -------------------- Puzzle: What is the thousands digit of 12233? Response: 2 Puzzle: What is the millions digit of 1088239062? Response: 8 Puzzle: What is the millions digit of 1393309613? Response: 3 Puzzle: What is the units digit of 271? Response: 1 Puzzle: What is the thousands digit of 1670? Response: 1 Puzzle: What is the tens digit of 203? Response: 0 Puzzle: What is the thousands digit of 229449502? Response: 9 Puzzle: What is the units digit of 602640? Response: 0 Puzzle: What is the hundred thousands digit of 139746? Response: 1 Puzzle: What is the hundred thousands digit of 571289? Response: 5 Puzzle: What is the millions digit of 8827480? Response: 8 Puzzle: What is the hundreds digit of 5091? Response: 0 Puzzle: What is the tens digit of 263524929? Response: 2 Puzzle: What is the hundreds digit of 1330783? Response: 7 Puzzle: What is the ten thousands digit of 38908? Response: 3 Puzzle: What is the billions digit of 5567590838? Response: 5 Puzzle: What is the units digit of 581321? Response: 1 Puzzle: What is the millions digit of 1308362875? Response: 8 Puzzle: What is the tens digit of 724080? Response: 8 Puzzle: What is the hundreds digit of 3090? Response: 0 Puzzle: What is the ten thousands digit of 78168? Response: 7 Puzzle: What is the ten thousands digit of 114196971? Response: 9 Puzzle: What is the millions digit of 5501894571? Response: 1 Puzzle: What is the hundreds digit of 5465139? Response: 1 Puzzle: What is the units digit of 404? Response: 4 Puzzle: What is the thousands digit of 4064336? Response: 4 Puzzle: What is the hundred thousands digit of 112315? Response: 1 Puzzle: What is the units digit of 42976? Response: 6 Puzzle: What is the tens digit of 3632? Response: 3 Puzzle: What is the hundred thousands digit of 11620836? Response: 6 Puzzle: What is the hundreds digit of 137909? Response: 9 Puzzle: What is the ten thousands digit of 4703678? Response: 0 Puzzle: What is the tens digit of 195875? Response: 7 Puzz
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measurement: conversion ----------------------- Test item: How many months are there in fourty-two fifths of a century? Result: 10080 Test item: How many nanoseconds are there in 0.2681231 weeks? Result: 162160850880000 Test item: Convert 0.308239 weeks to minutes. Result: 3107.04912 Test item: What is 5/8 of a tonne in kilograms? Result: 625 Test item: How many millilitres are there in 26/5 of a litre? Result: 5200 Test item: Convert 8143.55 milliseconds to microseconds. Result: 8143550 Test item: Convert 0.1686643um to centimeters. Result: 0.00001686643 Test item: How many grams are there in fifty-three fifths of a kilogram? Result: 10600 Test item: How many years are there in 424.0213 centuries? Result: 42402.13 Test item: Convert 5562.768 kilometers to meters. Result: 5562768 Test item: What is 353266.7 minutes in microseconds? Result: 21196002000000 Test item: What is one fifth of a millimeter in micrometers? Result: 200 Test item: How many months are there in one fifth of a millennium? Result: 2400 Test item: What is 1/64 of a gram in micrograms? Result: 15625 Test item: What is 47.84373g in kilograms? Result: 0.04784373 Test item: Convert 59.07808 years to millennia. Result: 0.05907808 Test item: How many weeks are there in 4163.35248ns? Result: 0.00000000000688385 Test item: Convert 0.5016751 tonnes to kilograms. Result: 501.6751 Test item: How many kilograms are there in five eighths of a tonne? Result: 625 Test item: How many days are there in 158.320872ns? Result: 0.0000000000018324175 Test item: What is 13/8 of a milligram in micrograms? Result: 1625 Test item: What is 734691.9 nanograms in tonnes? Result: 0.0000000007346919 Test item: What is 4.167997 years in months? Result: 50.015964 Test item: What is 32/5 of a litre in millilitres? Result: 6400 Test item: What is 353.2763 centuries in decades? Result: 3532.763 Test item: How many kilometers are there in 496122.3cm? Result: 4.961223 Test item: How many micrograms are there in 25/4 of a milligram? Res
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measurement: time ----------------- Prompt: How many minutes are there between 1:39 AM and 7:02 AM? Eval: 323 Prompt: How many minutes are there between 1:22 PM and 1:28 PM? Eval: 6 Prompt: How many minutes are there between 10:44 AM and 7:36 PM? Eval: 532 Prompt: How many minutes are there between 2:02 PM and 6:48 PM? Eval: 286 Prompt: What is 568 minutes after 7:10 PM? Eval: 4:38 AM Prompt: How many minutes are there between 4:20 AM and 7:51 AM? Eval: 211 Prompt: What is 90 minutes before 5:18 AM? Eval: 3:48 AM Prompt: What is 624 minutes before 1:10 AM? Eval: 2:46 PM Prompt: How many minutes are there between 4:30 PM and 8:27 PM? Eval: 237 Prompt: How many minutes are there between 5:04 PM and 6:04 PM? Eval: 60 Prompt: What is 463 minutes before 6:29 AM? Eval: 10:46 PM Prompt: What is 705 minutes before 11:55 AM? Eval: 12:10 AM Prompt: What is 573 minutes after 8:57 PM? Eval: 6:30 AM Prompt: What is 353 minutes before 10:27 PM? Eval: 4:34 PM Prompt: How many minutes are there between 2:44 AM and 8:08 AM? Eval: 324 Prompt: What is 236 minutes after 2:21 PM? Eval: 6:17 PM Prompt: What is 505 minutes after 10:11 AM? Eval: 6:36 PM Prompt: What is 355 minutes before 11:10 PM? Eval: 5:15 PM Prompt: What is 443 minutes before 8:12 AM? Eval: 12:49 AM Prompt: What is 60 minutes before 12:49 AM? Eval: 11:49 PM Prompt: How many minutes are there between 2:36 PM and 2:55 PM? Eval: 19 Prompt: How many minutes are there between 9:17 PM and 1:51 AM? Eval: 274 Prompt: What is 681 minutes after 2:48 PM? Eval: 2:09 AM Prompt: How many minutes are there between 4:48 PM and 3:52 AM? Eval: 664 Prompt: What is 279 minutes after 10:01 AM? Eval: 2:40 PM Prompt: What is 158 minutes after 4:05 AM? Eval: 6:43 AM Prompt: How many minutes are there between 10:06 PM and 3:28 AM? Eval: 322 Prompt: How many minutes are there between 6:16 AM and 8:13 AM? Eval: 117 Prompt: What is 559 minutes before 6:40 PM? Eval: 9:21 AM Prompt: How many minutes are there between 5:15 PM and 9:39 PM? Eval: 264 P
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measurement: time ----------------- Situation: How many minutes are there between 6:24 AM and 3:16 PM? Key: 532 Situation: What is 591 minutes after 1:30 AM? Key: 11:21 AM Situation: How many minutes are there between 3:24 AM and 12:44 PM? Key: 560 Situation: How many minutes are there between 1:30 AM and 2:06 AM? Key: 36 Situation: What is 388 minutes after 12:12 PM? Key: 6:40 PM Situation: How many minutes are there between 6:33 PM and 4:14 AM? Key: 581 Situation: How many minutes are there between 10:24 PM and 9:43 AM? Key: 679 Situation: What is 703 minutes after 3:41 PM? Key: 3:24 AM Situation: What is 127 minutes before 8:27 PM? Key: 6:20 PM Situation: What is 493 minutes before 8:26 PM? Key: 12:13 PM Situation: What is 630 minutes after 11:47 PM? Key: 10:17 AM Situation: How many minutes are there between 12:58 PM and 2:36 PM? Key: 98 Situation: What is 9 minutes before 5:20 PM? Key: 5:11 PM Situation: How many minutes are there between 12:24 PM and 12:38 PM? Key: 14 Situation: What is 321 minutes before 8:12 PM? Key: 2:51 PM Situation: How many minutes are there between 10:12 AM and 7:45 PM? Key: 573 Situation: How many minutes are there between 1:45 PM and 1:12 AM? Key: 687 Situation: How many minutes are there between 5:40 AM and 10:57 AM? Key: 317 Situation: How many minutes are there between 4:44 PM and 1:24 AM? Key: 520 Situation: How many minutes are there between 3:02 AM and 3:40 AM? Key: 38 Situation: How many minutes are there between 1:27 PM and 12:42 AM? Key: 675 Situation: What is 277 minutes after 11:32 AM? Key: 4:09 PM Situation: What is 474 minutes after 2:15 AM? Key: 10:09 AM Situation: How many minutes are there between 5:26 PM and 8:02 PM? Key: 156 Situation: What is 416 minutes after 1:20 PM? Key: 8:16 PM Situation: What is 462 minutes before 4:44 AM? Key: 9:02 PM Situation: How many minutes are there between 1:35 AM and 2:28 AM? Key: 53 Situation: What is 564 minutes before 12:27 PM? Key: 3:03 AM Situation: How many minutes are there betw
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numbers: is prime ----------------- Test item: Is 6739 composite? Ans: True Test item: Is 237477481 composite? Ans: True Test item: Is 12325279 composite? Ans: False Test item: Is 145227191 a prime number? Ans: False Test item: Is 5557 a composite number? Ans: False Test item: Is 218681 a composite number? Ans: False Test item: Is 446958583 a composite number? Ans: False Test item: Is 83033556023 a prime number? Ans: False Test item: Is 54709 a prime number? Ans: True Test item: Is 168859 composite? Ans: True Test item: Is 56033647214 a prime number? Ans: False Test item: Is 31013 a composite number? Ans: False Test item: Is 99889079201 a composite number? Ans: False Test item: Is 16636303 prime? Ans: True Test item: Is 36277691 composite? Ans: False Test item: Is 402610729 a composite number? Ans: False Test item: Is 28562623 composite? Ans: False Test item: Is 1151 a composite number? Ans: False Test item: Is 335771 a prime number? Ans: True Test item: Is 736116401 prime? Ans: False Test item: Is 72180547 prime? Ans: True Test item: Is 140502795893 prime? Ans: False Test item: Is 20257 composite? Ans: True Test item: Is 91673 a prime number? Ans: True Test item: Is 52501 a prime number? Ans: True Test item: Is 18841 a prime number? Ans: False Test item: Is 27313283 composite? Ans: True Test item: Is 26996287 prime? Ans: False Test item: Is 873983419 a prime number? Ans: True Test item: Is 4869257 composite? Ans: False Test item: Is 7185235 composite? Ans: True Test item: Is 751943 a prime number? Ans: True Test item: Is 453757 prime? Ans: True Test item: Is 30968449939 a composite number? Ans: True Test item: Is 4025677937 a composite number? Ans: False Test item: Is 52040983 prime? Ans: True Test item: Is 86287349 a composite number? Ans: True Test item: Is 1909685 prime? Ans: False Test item: Is 365424972563 composite? Ans: True Test item: Is 23999329 a composite number? Ans: False Test item: Is 11224559 composite? Ans: False Test item: Is 2973200843 a composite
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numbers: place value -------------------- Topic: What is the tens digit of 315146? Steps: 4 Topic: What is the hundred thousands digit of 1083728? Steps: 0 Topic: What is the millions digit of 17669103? Steps: 7 Topic: What is the units digit of 291? Steps: 1 Topic: What is the thousands digit of 1632924? Steps: 2 Topic: What is the ten thousands digit of 85233523? Steps: 3 Topic: What is the tens digit of 883? Steps: 8 Topic: What is the ten millions digit of 6134088906? Steps: 3 Topic: What is the thousands digit of 42011077? Steps: 1 Topic: What is the ten thousands digit of 11906? Steps: 1 Topic: What is the millions digit of 13107537? Steps: 3 Topic: What is the hundred thousands digit of 183413023? Steps: 4 Topic: What is the ten thousands digit of 15596904? Steps: 9 Topic: What is the thousands digit of 61170? Steps: 1 Topic: What is the units digit of 200182? Steps: 2 Topic: What is the ten millions digit of 202933944? Steps: 0 Topic: What is the hundreds digit of 111? Steps: 1 Topic: What is the thousands digit of 84408834? Steps: 8 Topic: What is the thousands digit of 133614569? Steps: 4 Topic: What is the ten millions digit of 57021781? Steps: 5 Topic: What is the tens digit of 636? Steps: 3 Topic: What is the tens digit of 68380510? Steps: 1 Topic: What is the tens digit of 4482246? Steps: 4 Topic: What is the hundred millions digit of 397843935? Steps: 3 Topic: What is the hundreds digit of 1132424008? Steps: 0 Topic: What is the units digit of 489? Steps: 9 Topic: What is the tens digit of 4486? Steps: 8 Topic: What is the ten thousands digit of 2197227? Steps: 9 Topic: What is the hundreds digit of 163358? Steps: 3 Topic: What is the tens digit of 284551? Steps: 5 Topic: What is the ten thousands digit of 2427211? Steps: 2 Topic: What is the hundreds digit of 1138490? Steps: 4 Topic: What is the thousands digit of 15997? Steps: 5 Topic: What is the thousands digit of 343960? Steps: 3 Topic: What is the hundreds digit of 71489? Steps: 4 Topic: What is
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numbers: is prime ----------------- Example: Is 65083211 a prime number? Ans: False Example: Is 91260157 composite? Ans: True Example: Is 3075797 a composite number? Ans: False Example: Is 938716997 a composite number? Ans: False Example: Is 30553 a composite number? Ans: False Example: Is 3894550831 a prime number? Ans: False Example: Is 28880203697 a composite number? Ans: True Example: Is 109149 a prime number? Ans: False Example: Is 5162861 a prime number? Ans: False Example: Is 455663 a prime number? Ans: False Example: Is 20595391 prime? Ans: True Example: Is 11519735 a composite number? Ans: True Example: Is 1003 prime? Ans: False Example: Is 7621 a composite number? Ans: False Example: Is 514952527 a prime number? Ans: False Example: Is 43402 composite? Ans: True Example: Is 797887 prime? Ans: True Example: Is 33230292899 a prime number? Ans: True Example: Is 372798137 a composite number? Ans: True Example: Is 6270701 composite? Ans: False Example: Is 2749729 a composite number? Ans: True Example: Is 8114 a prime number? Ans: False Example: Is 1458781 prime? Ans: False Example: Is 85906697 prime? Ans: False Example: Is 7424522419 composite? Ans: False Example: Is 8995558843 a composite number? Ans: True Example: Is 7873273 composite? Ans: False Example: Is 8040373 a prime number? Ans: False Example: Is 15541 a composite number? Ans: False Example: Is 8556133 a prime number? Ans: True Example: Is 17291 composite? Ans: False Example: Is 2025824793 a prime number? Ans: False Example: Is 336473 composite? Ans: True Example: Is 15214607 a prime number? Ans: True Example: Is 9015301 a prime number? Ans: True Example: Is 31067 a prime number? Ans: False Example: Is 143609 a composite number? Ans: False Example: Is 13709964397 prime? Ans: False Example: Is 116839561 a prime number? Ans: True Example: Is 2861826251 a composite number? Ans: False Example: Is 14006879 a composite number? Ans: True Example: Is 738133 a prime number? Ans: False Example: Is 1385976899 pri
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numbers: lcm ------------ Subquestion: What is the common denominator of 10/21 and 89/1683? Therefore: 11781 Subquestion: What is the least common multiple of 792 and 166485? Therefore: 3995640 Subquestion: Calculate the common denominator of 5/34 and 39/508. Therefore: 8636 Subquestion: What is the smallest common multiple of 432 and 141? Therefore: 20304 Subquestion: Find the common denominator of -13 and 47/1088. Therefore: 1088 Subquestion: Calculate the least common multiple of 3443810 and 130. Therefore: 44769530 Subquestion: What is the common denominator of 71/7975 and -69/247225? Therefore: 247225 Subquestion: Calculate the least common multiple of 3477 and 1428803. Therefore: 81441771 Subquestion: What is the least common multiple of 1562 and 9627103? Therefore: 211796266 Subquestion: Calculate the common denominator of -43/1109785 and -113/1331742. Therefore: 6658710 Subquestion: What is the common denominator of -37/532 and -13/42? Therefore: 1596 Subquestion: Calculate the least common multiple of 17332 and 5571. Therefore: 155988 Subquestion: What is the common denominator of 47/1980 and 87/88? Therefore: 3960 Subquestion: What is the common denominator of 115/56 and -103/48? Therefore: 336 Subquestion: Calculate the least common multiple of 29544 and 14772. Therefore: 29544 Subquestion: What is the common denominator of 155/2647116 and -55/828? Therefore: 2647116 Subquestion: What is the smallest common multiple of 5760 and 948? Therefore: 455040 Subquestion: Find the common denominator of 28/25 and -61/2057734. Therefore: 51443350 Subquestion: Calculate the smallest common multiple of 18912432 and 816816. Therefore: 245861616 Subquestion: Calculate the least common multiple of 138870 and 72. Therefore: 555480 Subquestion: Calculate the least common multiple of 292 and 105510988. Therefore: 105510988 Subquestion: Calculate the smallest common multiple of 19205 and 7682. Therefore: 38410 Subquestion: What is the smallest common multiple of 127460040 an
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numbers: div remainder ---------------------- Problem: What is the remainder when 54359530 is divided by 2105? Ans: 10 Problem: What is the remainder when 7832444 is divided by 1626? Ans: 2 Problem: What is the remainder when 2283 is divided by 18? Ans: 15 Problem: Calculate the remainder when 1029218 is divided by 342773. Ans: 899 Problem: Calculate the remainder when 4677 is divided by 2199. Ans: 279 Problem: What is the remainder when 975739 is divided by 4878? Ans: 139 Problem: What is the remainder when 499187 is divided by 216? Ans: 11 Problem: Calculate the remainder when 33 is divided by 11. Ans: 0 Problem: What is the remainder when 13365335 is divided by 227? Ans: 29 Problem: What is the remainder when 37148278 is divided by 2857557? Ans: 37 Problem: What is the remainder when 2833 is divided by 79? Ans: 68 Problem: What is the remainder when 47 is divided by 9? Ans: 2 Problem: Calculate the remainder when 2109 is divided by 211. Ans: 210 Problem: What is the remainder when 4358 is divided by 169? Ans: 133 Problem: Calculate the remainder when 64 is divided by 13. Ans: 12 Problem: Calculate the remainder when 1398908 is divided by 10. Ans: 8 Problem: Calculate the remainder when 4370 is divided by 47. Ans: 46 Problem: Calculate the remainder when 4744492 is divided by 527156. Ans: 88 Problem: Calculate the remainder when 272073 is divided by 760. Ans: 753 Problem: Calculate the remainder when 56557 is divided by 161. Ans: 46 Problem: Calculate the remainder when 366344 is divided by 42. Ans: 20 Problem: What is the remainder when 639 is divided by 14? Ans: 9 Problem: What is the remainder when 492143 is divided by 1456? Ans: 15 Problem: What is the remainder when 52 is divided by 39? Ans: 13 Problem: Calculate the remainder when 184 is divided by 5. Ans: 4 Problem: What is the remainder when 468157 is divided by 448? Ans: 445 Problem: What is the remainder when 33585999 is divided by 1750? Ans: 1749 Problem: What is the remainder when 3237708 is divided by
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probability: swr p level set ---------------------------- Ask: Calculate prob of picking 3 r when three letters picked without replacement from {k: 2, m: 1, r: 5, l: 1}. Calculation: 5/42 Ask: What is prob of picking 1 w and 1 t when two letters picked without replacement from twqyrrfwytyw? Calculation: 1/11 Ask: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from zffftzwtzzfffeffeetz. Calculation: 9/190 Ask: Calculate prob of picking 1 r and 2 m when three letters picked without replacement from {r: 1, e: 2, m: 4, j: 2, h: 1}. Calculation: 1/20 Ask: Calculate prob of picking 3 j and 1 t when four letters picked without replacement from {t: 6, j: 13}. Calculation: 143/323 Ask: Four letters picked without replacement from rlbrbrlrrbrbbrll. What is prob of picking 2 r, 1 b, and 1 l? Calculation: 3/13 Ask: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from ullyllu. Calculation: 8/21 Ask: Calculate prob of picking 1 q, 2 a, and 1 g when four letters picked without replacement from {q: 3, g: 2, u: 2, a: 6}. Calculation: 18/143 Ask: What is prob of picking 1 v and 1 a when two letters picked without replacement from yaveb? Calculation: 1/10 Ask: What is prob of picking 1 q and 2 p when three letters picked without replacement from {r: 3, q: 2, p: 8, g: 2}? Calculation: 8/65 Ask: Two letters picked without replacement from {t: 1, k: 2, e: 1, d: 1}. Give prob of picking 1 d and 1 t. Calculation: 1/10 Ask: Two letters picked without replacement from {x: 1, d: 1, c: 2, g: 1}. What is prob of picking 2 c? Calculation: 1/10 Ask: Two letters picked without replacement from hhnhn. What is prob of picking 1 h and 1 n? Calculation: 3/5 Ask: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from {r: 7, p: 1, a: 6}. Calculation: 3/52 Ask: Two letters picked without replacement from {b: 4, t: 3, q: 1, j: 2}. Give prob of picking 1 t and 1 b. Calculation: 4/15 Ask: Four letters pick
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numbers: place value -------------------- Let: What is the ten millions digit of 23767140? Steps: 2 Let: What is the ten millions digit of 21438252? Steps: 2 Let: What is the ten thousands digit of 46455? Steps: 4 Let: What is the thousands digit of 241481? Steps: 1 Let: What is the hundreds digit of 14002759? Steps: 7 Let: What is the millions digit of 1858384332? Steps: 8 Let: What is the hundred millions digit of 127957175? Steps: 1 Let: What is the units digit of 66686107? Steps: 7 Let: What is the thousands digit of 154498? Steps: 4 Let: What is the ten thousands digit of 195293685? Steps: 9 Let: What is the ten thousands digit of 14307? Steps: 1 Let: What is the ten thousands digit of 5434967? Steps: 3 Let: What is the hundred thousands digit of 5438996? Steps: 4 Let: What is the hundred thousands digit of 9531528? Steps: 5 Let: What is the hundred millions digit of 470917809? Steps: 4 Let: What is the units digit of 861812? Steps: 2 Let: What is the ten thousands digit of 2939095? Steps: 3 Let: What is the units digit of 282257? Steps: 7 Let: What is the hundreds digit of 36736? Steps: 7 Let: What is the units digit of 139158? Steps: 8 Let: What is the tens digit of 791? Steps: 9 Let: What is the hundreds digit of 1289743? Steps: 7 Let: What is the ten thousands digit of 2708591? Steps: 0 Let: What is the tens digit of 1911166802? Steps: 0 Let: What is the hundred thousands digit of 1026164? Steps: 0 Let: What is the hundreds digit of 12257? Steps: 2 Let: What is the tens digit of 1493462? Steps: 6 Let: What is the hundred thousands digit of 300966? Steps: 3 Let: What is the hundred thousands digit of 119367543? Steps: 3 Let: What is the hundreds digit of 2853? Steps: 8 Let: What is the hundred thousands digit of 124569850? Steps: 5 Let: What is the tens digit of 420? Steps: 2 Let: What is the ten millions digit of 1628311817? Steps: 2 Let: What is the hundreds digit of 1767711466? Steps: 4 Let: What is the tens digit of 374? Steps: 7 Let: What is the units d
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numbers: gcd ------------ Q=: Calculate the highest common factor of 41 and 1681. Fix: 41 Q=: Calculate the highest common factor of 60 and 1290. Fix: 30 Q=: What is the greatest common divisor of 1290480 and 107920? Fix: 1520 Q=: What is the highest common divisor of 9231 and 51? Fix: 51 Q=: Calculate the greatest common factor of 391 and 493. Fix: 17 Q=: Calculate the greatest common divisor of 220 and 55947188. Fix: 44 Q=: Calculate the greatest common factor of 17003 and 49. Fix: 49 Q=: Calculate the highest common factor of 1517334 and 6. Fix: 6 Q=: Calculate the highest common factor of 166992 and 147. Fix: 147 Q=: Calculate the highest common divisor of 121162 and 1841152. Fix: 58 Q=: Calculate the greatest common factor of 88 and 624228. Fix: 44 Q=: Calculate the greatest common factor of 880 and 165. Fix: 55 Q=: What is the highest common divisor of 753990 and 58848? Fix: 3678 Q=: Calculate the highest common factor of 190277500 and 125. Fix: 125 Q=: What is the greatest common divisor of 29 and 5000209? Fix: 29 Q=: What is the highest common divisor of 286988 and 650? Fix: 26 Q=: Calculate the greatest common divisor of 228 and 1539. Fix: 57 Q=: What is the greatest common factor of 20229 and 7359? Fix: 33 Q=: What is the greatest common divisor of 286 and 319? Fix: 11 Q=: What is the greatest common divisor of 32 and 24121432? Fix: 8 Q=: Calculate the highest common divisor of 266 and 18151. Fix: 7 Q=: What is the highest common factor of 81875 and 3594116? Fix: 131 Q=: Calculate the highest common divisor of 2608181 and 1. Fix: 1 Q=: What is the greatest common divisor of 72 and 168? Fix: 24 Q=: What is the highest common factor of 3 and 69? Fix: 3 Q=: Calculate the greatest common factor of 149328 and 27234. Fix: 306 Q=: Calculate the greatest common factor of 3164 and 2880144. Fix: 452 Q=: What is the highest common divisor of 32 and 5448? Fix: 8 Q=: Calculate the greatest common factor of 230 and 10. Fix: 10 Q=: Calculate the highest common factor of
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measurement: time ----------------- Example: How many minutes are there between 8:03 AM and 2:51 PM? Solution: 408 Example: How many minutes are there between 12:58 AM and 5:47 AM? Solution: 289 Example: What is 706 minutes before 12:57 PM? Solution: 1:11 AM Example: What is 293 minutes before 6:06 PM? Solution: 1:13 PM Example: How many minutes are there between 8:01 AM and 9:39 AM? Solution: 98 Example: What is 374 minutes before 4:30 PM? Solution: 10:16 AM Example: What is 318 minutes after 9:23 PM? Solution: 2:41 AM Example: What is 444 minutes before 12:58 PM? Solution: 5:34 AM Example: How many minutes are there between 10:40 PM and 8:49 AM? Solution: 609 Example: How many minutes are there between 7:20 AM and 8:57 AM? Solution: 97 Example: How many minutes are there between 5:48 AM and 11:54 AM? Solution: 366 Example: How many minutes are there between 12:44 PM and 8:32 PM? Solution: 468 Example: How many minutes are there between 6:02 AM and 6:01 PM? Solution: 719 Example: What is 700 minutes after 3:46 AM? Solution: 3:26 PM Example: How many minutes are there between 3:08 AM and 1:42 PM? Solution: 634 Example: What is 480 minutes before 4:47 PM? Solution: 8:47 AM Example: How many minutes are there between 1:02 PM and 6:57 PM? Solution: 355 Example: How many minutes are there between 4:29 AM and 12:40 PM? Solution: 491 Example: How many minutes are there between 9:44 PM and 4:48 AM? Solution: 424 Example: How many minutes are there between 10:35 PM and 3:14 AM? Solution: 279 Example: How many minutes are there between 8:17 PM and 4:39 AM? Solution: 502 Example: How many minutes are there between 5:02 AM and 3:12 PM? Solution: 610 Example: How many minutes are there between 6:07 AM and 5:56 PM? Solution: 709 Example: How many minutes are there between 10:25 AM and 7:57 PM? Solution: 572 Example: What is 324 minutes before 1:15 PM? Solution: 7:51 AM Example: How many minutes are there between 3:17 AM and 9:58 AM? Solution: 401 Example: What is 366 minutes bef
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numbers: is prime ----------------- What if: Is 1634843 prime? Final Answer: False What if: Is 71419 composite? Final Answer: False What if: Is 3228450791 composite? Final Answer: True What if: Is 2459 composite? Final Answer: False What if: Is 3272281 composite? Final Answer: True What if: Is 49954 prime? Final Answer: False What if: Is 575538679 a prime number? Final Answer: True What if: Is 846577 a composite number? Final Answer: False What if: Is 789 a prime number? Final Answer: False What if: Is 80884127 a composite number? Final Answer: False What if: Is 13259 a composite number? Final Answer: False What if: Is 8076696689 a prime number? Final Answer: False What if: Is 33379 a composite number? Final Answer: True What if: Is 22459 a prime number? Final Answer: False What if: Is 33247 a composite number? Final Answer: False What if: Is 2228424133 composite? Final Answer: True What if: Is 3539735813 a prime number? Final Answer: True What if: Is 1259107853 a prime number? Final Answer: True What if: Is 13649 a prime number? Final Answer: True What if: Is 10420427 composite? Final Answer: True What if: Is 92817577759 a composite number? Final Answer: True What if: Is 2374 a composite number? Final Answer: True What if: Is 1860216389 a composite number? Final Answer: False What if: Is 745019351 composite? Final Answer: False What if: Is 12891044993 composite? Final Answer: False What if: Is 834941 a prime number? Final Answer: True What if: Is 22999 a prime number? Final Answer: False What if: Is 1077673 composite? Final Answer: False What if: Is 553634077 a composite number? Final Answer: False What if: Is 5166921 a composite number? Final Answer: True What if: Is 5820602 a composite number? Final Answer: True What if: Is 102667 prime? Final Answer: True What if: Is 6806765389 composite? Final Answer: False What if: Is 61625819 prime? Final Answer: True What if: Is 8373523 a composite number? Final Answer: True What if: Is 13193 composite? Final Answer: True Wh
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arithmetic: nearest integer root -------------------------------- Ask: What is 6872439 to the power of 1/2, to the nearest integer? A.: 2622 Ask: What is the fourth root of 1277 to the nearest integer? A.: 6 Ask: What is the fourth root of 1814 to the nearest integer? A.: 7 Ask: What is 9950095 to the power of 1/3, to the nearest integer? A.: 215 Ask: What is 10413026 to the power of 1/2, to the nearest integer? A.: 3227 Ask: What is the square root of 4004 to the nearest integer? A.: 63 Ask: What is 10388398 to the power of 1/8, to the nearest integer? A.: 8 Ask: What is 211898317 to the power of 1/3, to the nearest integer? A.: 596 Ask: What is 6315392416 to the power of 1/6, to the nearest integer? A.: 43 Ask: What is 29567727 to the power of 1/3, to the nearest integer? A.: 309 Ask: What is the third root of 410125888 to the nearest integer? A.: 743 Ask: What is 7985776 to the power of 1/10, to the nearest integer? A.: 5 Ask: What is the sixth root of 495 to the nearest integer? A.: 3 Ask: What is 988266 to the power of 1/8, to the nearest integer? A.: 6 Ask: What is 37120222 to the power of 1/2, to the nearest integer? A.: 6093 Ask: What is 72438 to the power of 1/2, to the nearest integer? A.: 269 Ask: What is 63307634 to the power of 1/2, to the nearest integer? A.: 7957 Ask: What is the third root of 3530 to the nearest integer? A.: 15 Ask: What is the square root of 36502777 to the nearest integer? A.: 6042 Ask: What is the cube root of 5999 to the nearest integer? A.: 18 Ask: What is the cube root of 20497455 to the nearest integer? A.: 274 Ask: What is the fifth root of 343905535 to the nearest integer? A.: 51 Ask: What is the square root of 1346 to the nearest integer? A.: 37 Ask: What is 4456165365 to the power of 1/8, to the nearest integer? A.: 16 Ask: What is the fifth root of 173699 to the nearest integer? A.: 11 Ask: What is the square root of 17697883 to the nearest integer? A.: 4207 Ask: What is 1103 to the power of 1/8, to the nearest integer? A
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probability: swr p level set ---------------------------- Input: Two letters picked without replacement from arjkppp. Give prob of picking 1 p and 1 j. Thus: 1/7 Input: Three letters picked without replacement from kffqfqfqkffqqqfqkqkk. What is prob of picking 1 q, 1 f, and 1 k? Thus: 14/57 Input: Two letters picked without replacement from {j: 9, a: 9}. Give prob of picking 2 j. Thus: 4/17 Input: What is prob of picking 1 i and 2 f when three letters picked without replacement from fffi? Thus: 3/4 Input: Calculate prob of picking 1 w, 1 q, and 1 r when three letters picked without replacement from {x: 2, h: 2, q: 1, r: 2, w: 1}. Thus: 1/28 Input: Two letters picked without replacement from wzz. Give prob of picking 2 z. Thus: 1/3 Input: What is prob of picking 2 y when two letters picked without replacement from {z: 12, p: 1, i: 2, y: 4}? Thus: 2/57 Input: Three letters picked without replacement from nfskdknkdffskkk. What is prob of picking 1 f and 2 n? Thus: 3/455 Input: Two letters picked without replacement from xqyqdeeqmxyq. Give prob of picking 1 e and 1 y. Thus: 2/33 Input: What is prob of picking 3 z when three letters picked without replacement from gggoaogozgzggozgoog? Thus: 1/969 Input: Three letters picked without replacement from aaaxaaaaxaa. What is prob of picking 3 a? Thus: 28/55 Input: Two letters picked without replacement from {m: 3, s: 5}. Give prob of picking 1 s and 1 m. Thus: 15/28 Input: Three letters picked without replacement from iljipplijllolili. Give prob of picking 1 i, 1 l, and 1 j. Thus: 3/28 Input: What is prob of picking 1 u, 2 l, and 1 o when four letters picked without replacement from {o: 6, l: 5, j: 6, b: 1, u: 1}? Thus: 5/323 Input: Two letters picked without replacement from bbvubbubu. What is prob of picking 1 v and 1 b? Thus: 5/36 Input: Two letters picked without replacement from ippiiipiiipiiiipiii. Give prob of picking 1 p and 1 i. Thus: 70/171 Input: Four letters picked without replacement from rrrrrrririrrrrir. Give pr
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numbers: is factor ------------------ Statement: Is 69 a factor of 181137? Soln: False Statement: Is 29 a factor of 3373? Soln: False Statement: Does 551 divide 5550774? Soln: True Statement: Does 23 divide 161? Soln: True Statement: Does 17 divide 2801? Soln: False Statement: Is 15179808 a multiple of 903? Soln: False Statement: Is 52 a factor of 250? Soln: False Statement: Is 24933332 a multiple of 704? Soln: False Statement: Is 1265 a multiple of 23? Soln: True Statement: Is 548 a multiple of 12? Soln: False Statement: Is 307071 a multiple of 459? Soln: True Statement: Is 598133355 a multiple of 2703? Soln: True Statement: Is 45 a factor of 100822282? Soln: False Statement: Does 520 divide 9931414? Soln: False Statement: Is 28 a factor of 7072184? Soln: True Statement: Does 16 divide 892880? Soln: True Statement: Is 7955460 a multiple of 36? Soln: True Statement: Is 79305 a multiple of 85? Soln: True Statement: Is 11305996 a multiple of 4? Soln: True Statement: Is 7 a factor of 791? Soln: True Statement: Is 19638 a multiple of 18? Soln: True Statement: Is 54 a factor of 1832652? Soln: True Statement: Does 2 divide 50396859? Soln: False Statement: Is 98245 a multiple of 7? Soln: True Statement: Does 20 divide 87? Soln: False Statement: Is 19 a factor of 15420? Soln: False Statement: Does 41 divide 21521? Soln: False Statement: Does 30 divide 53552056? Soln: False Statement: Is 2 a factor of 31407? Soln: False Statement: Is 23418 a multiple of 18? Soln: True Statement: Is 9967964 a multiple of 1361? Soln: True Statement: Is 28605 a multiple of 151? Soln: False Statement: Is 679 a factor of 72324? Soln: False Statement: Is 16 a factor of 1329804? Soln: False Statement: Is 13 a factor of 1524861? Soln: True Statement: Is 42 a factor of 79818514? Soln: False Statement: Is 32735737 a multiple of 336? Soln: False Statement: Is 19 a factor of 178074? Soln: False Statement: Does 2 divide 401? Soln: False Statement: Is 4559014 a multiple of 75? Soln: False Statement: Does
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arithmetic: nearest integer root -------------------------------- Conundrum: What is 717793 to the power of 1/8, to the nearest integer? Sol: 5 Conundrum: What is 2065083718 to the power of 1/5, to the nearest integer? Sol: 73 Conundrum: What is the third root of 165264573 to the nearest integer? Sol: 549 Conundrum: What is 705 to the power of 1/5, to the nearest integer? Sol: 4 Conundrum: What is 2045 to the power of 1/7, to the nearest integer? Sol: 3 Conundrum: What is the sixth root of 1278 to the nearest integer? Sol: 3 Conundrum: What is the third root of 7061 to the nearest integer? Sol: 19 Conundrum: What is the third root of 26622289 to the nearest integer? Sol: 299 Conundrum: What is 5426689 to the power of 1/10, to the nearest integer? Sol: 5 Conundrum: What is 88913021 to the power of 1/7, to the nearest integer? Sol: 14 Conundrum: What is 19213960 to the power of 1/2, to the nearest integer? Sol: 4383 Conundrum: What is the cube root of 198037 to the nearest integer? Sol: 58 Conundrum: What is the cube root of 76 to the nearest integer? Sol: 4 Conundrum: What is the cube root of 109415 to the nearest integer? Sol: 48 Conundrum: What is 28541 to the power of 1/9, to the nearest integer? Sol: 3 Conundrum: What is the tenth root of 5788 to the nearest integer? Sol: 2 Conundrum: What is the square root of 191746918 to the nearest integer? Sol: 13847 Conundrum: What is 2916 to the power of 1/5, to the nearest integer? Sol: 5 Conundrum: What is the tenth root of 2599843 to the nearest integer? Sol: 4 Conundrum: What is 74434571 to the power of 1/2, to the nearest integer? Sol: 8628 Conundrum: What is the cube root of 141295 to the nearest integer? Sol: 52 Conundrum: What is 117773 to the power of 1/8, to the nearest integer? Sol: 4 Conundrum: What is 25809 to the power of 1/5, to the nearest integer? Sol: 8 Conundrum: What is the cube root of 12786747 to the nearest integer? Sol: 234 Conundrum: What is the tenth root of 3628191344 to the nearest integer? Sol:
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numbers: is prime ----------------- Math Problem: Is 783663511 composite? Calculation: False Math Problem: Is 18355837 prime? Calculation: False Math Problem: Is 100907 prime? Calculation: True Math Problem: Is 75979 composite? Calculation: False Math Problem: Is 61679726 a prime number? Calculation: False Math Problem: Is 1134841 composite? Calculation: False Math Problem: Is 7569615461 a prime number? Calculation: False Math Problem: Is 6746962621 prime? Calculation: False Math Problem: Is 25356803581 prime? Calculation: True Math Problem: Is 65038577 a composite number? Calculation: True Math Problem: Is 331 composite? Calculation: False Math Problem: Is 182803 composite? Calculation: False Math Problem: Is 496487137 a prime number? Calculation: True Math Problem: Is 617549263 a composite number? Calculation: False Math Problem: Is 3629 composite? Calculation: True Math Problem: Is 17735 a prime number? Calculation: False Math Problem: Is 447126627 a prime number? Calculation: False Math Problem: Is 71851 composite? Calculation: True Math Problem: Is 2094411007 prime? Calculation: False Math Problem: Is 1229539 composite? Calculation: True Math Problem: Is 44246 prime? Calculation: False Math Problem: Is 53084944261 a prime number? Calculation: True Math Problem: Is 215292683 prime? Calculation: True Math Problem: Is 10008576779 composite? Calculation: False Math Problem: Is 13962943 a prime number? Calculation: False Math Problem: Is 34735 composite? Calculation: True Math Problem: Is 3251 composite? Calculation: False Math Problem: Is 3308693951 prime? Calculation: True Math Problem: Is 2845 a composite number? Calculation: True Math Problem: Is 3161255 prime? Calculation: False Math Problem: Is 7369 prime? Calculation: True Math Problem: Is 65239 composite? Calculation: False Math Problem: Is 28089286921 prime? Calculation: False Math Problem: Is 13188323 a prime number? Calculation: True Math Problem: Is 1991241481 composite? Calculation: False Math Problem:
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numbers: place value -------------------- Prompt: What is the thousands digit of 14400? Result: 4 Prompt: What is the tens digit of 149? Result: 4 Prompt: What is the tens digit of 743? Result: 4 Prompt: What is the hundred millions digit of 4648794536? Result: 6 Prompt: What is the hundreds digit of 684? Result: 6 Prompt: What is the units digit of 185602877? Result: 7 Prompt: What is the hundred millions digit of 1305873034? Result: 3 Prompt: What is the tens digit of 6645? Result: 4 Prompt: What is the thousands digit of 562991042? Result: 1 Prompt: What is the tens digit of 456? Result: 5 Prompt: What is the ten thousands digit of 1945421536? Result: 2 Prompt: What is the thousands digit of 3652? Result: 3 Prompt: What is the hundreds digit of 677532? Result: 5 Prompt: What is the tens digit of 1386? Result: 8 Prompt: What is the units digit of 89025392? Result: 2 Prompt: What is the ten thousands digit of 11361? Result: 1 Prompt: What is the hundred millions digit of 5235103692? Result: 2 Prompt: What is the units digit of 26823? Result: 3 Prompt: What is the tens digit of 1835? Result: 3 Prompt: What is the ten thousands digit of 1200467? Result: 0 Prompt: What is the tens digit of 46980744? Result: 4 Prompt: What is the units digit of 139356? Result: 6 Prompt: What is the tens digit of 8212? Result: 1 Prompt: What is the hundreds digit of 556547? Result: 5 Prompt: What is the tens digit of 440400? Result: 0 Prompt: What is the hundred thousands digit of 71082113? Result: 0 Prompt: What is the millions digit of 25517903? Result: 5 Prompt: What is the tens digit of 376708955? Result: 5 Prompt: What is the ten thousands digit of 761269929? Result: 6 Prompt: What is the thousands digit of 70972891? Result: 2 Prompt: What is the hundred thousands digit of 61175770? Result: 1 Prompt: What is the units digit of 20924? Result: 4 Prompt: What is the units digit of 1819827224? Result: 4 Prompt: What is the tens digit of 4804? Result: 0 Prompt: What is the hundreds digi
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probability: swr p level set ---------------------------- Statement: What is prob of picking 2 f and 2 t when four letters picked without replacement from {t: 6, f: 3, o: 7, u: 3}? Key: 15/1292 Statement: Four letters picked without replacement from {i: 2, v: 1, x: 7, y: 4, b: 2, s: 4}. What is prob of picking 2 x and 2 b? Key: 7/1615 Statement: What is prob of picking 3 t when three letters picked without replacement from {f: 3, t: 5}? Key: 5/28 Statement: Three letters picked without replacement from {y: 2, q: 7, a: 1, g: 7}. What is prob of picking 2 g and 1 y? Key: 21/340 Statement: What is prob of picking 2 m and 2 c when four letters picked without replacement from {c: 2, m: 5}? Key: 2/7 Statement: Two letters picked without replacement from stooottooootosoocs. What is prob of picking 2 t? Key: 2/51 Statement: What is prob of picking 1 y and 2 u when three letters picked without replacement from yfnpynyyvufuuyfpyyyy? Key: 9/380 Statement: What is prob of picking 1 u and 1 b when two letters picked without replacement from {u: 7, b: 4}? Key: 28/55 Statement: What is prob of picking 1 k and 1 a when two letters picked without replacement from {t: 2, a: 4, k: 2}? Key: 2/7 Statement: Three letters picked without replacement from wwmwwwwmwjwwmwmwwmww. What is prob of picking 1 j, 1 w, and 1 m? Key: 7/114 Statement: Three letters picked without replacement from utuvqww. Give prob of picking 2 u and 1 q. Key: 1/35 Statement: Two letters picked without replacement from {h: 8, f: 4, u: 2}. Give prob of picking 1 f and 1 h. Key: 32/91 Statement: What is prob of picking 2 j, 1 x, and 1 a when four letters picked without replacement from {t: 2, h: 1, j: 3, e: 1, a: 1, x: 4}? Key: 4/165 Statement: Three letters picked without replacement from rrgrrrrrrrrggrr. What is prob of picking 3 g? Key: 1/455 Statement: Two letters picked without replacement from {z: 8, b: 2, e: 4, f: 2}. Give prob of picking 2 f. Key: 1/120 Statement: Three letters picked without replacement from {d
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probability: swr p level set ---------------------------- Topic: Calculate prob of picking 2 r and 2 k when four letters picked without replacement from {r: 8, a: 2, b: 2, k: 3}. Key: 4/65 Topic: Three letters picked without replacement from uiiiiiiuiui. Give prob of picking 3 i. Key: 56/165 Topic: Two letters picked without replacement from {v: 2, w: 6, b: 7}. Give prob of picking 1 v and 1 w. Key: 4/35 Topic: Calculate prob of picking 2 d and 1 t when three letters picked without replacement from {x: 1, v: 1, t: 2, d: 1, g: 8, o: 2}. Key: 0 Topic: Calculate prob of picking 2 r and 1 u when three letters picked without replacement from {t: 1, r: 2, u: 1}. Key: 1/4 Topic: Four letters picked without replacement from pwswwmhwmhmmsg. What is prob of picking 1 g, 1 s, 1 h, and 1 w? Key: 16/1001 Topic: Calculate prob of picking 2 x and 1 c when three letters picked without replacement from ccxkcxxkxkkk. Key: 9/110 Topic: Calculate prob of picking 2 z and 2 q when four letters picked without replacement from zqzjzzzzqz. Key: 1/10 Topic: What is prob of picking 1 x and 1 n when two letters picked without replacement from vxnxmmm? Key: 2/21 Topic: Calculate prob of picking 4 x when four letters picked without replacement from {r: 2, x: 18}. Key: 12/19 Topic: Two letters picked without replacement from fufuuuuuuf. What is prob of picking 2 f? Key: 1/15 Topic: Four letters picked without replacement from wwvozqqwooy. What is prob of picking 1 y, 1 q, 1 z, and 1 v? Key: 1/165 Topic: What is prob of picking 1 c and 1 o when two letters picked without replacement from owoopopc? Key: 1/7 Topic: Four letters picked without replacement from {f: 6, u: 2, w: 2, t: 1, v: 5}. What is prob of picking 1 t and 3 v? Key: 1/182 Topic: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {m: 3, w: 5, q: 3, x: 1, d: 1, b: 1}. Key: 1/91 Topic: Four letters picked without replacement from ysbxbxxyuuxuxyxdud. Give prob of picking 1 s and 3 u. Key: 1/765 Topic:
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numbers: div remainder ---------------------- Q: Calculate the remainder when 771 is divided by 43. β†’: 40 Q: What is the remainder when 76029 is divided by 198? β†’: 195 Q: Calculate the remainder when 1142 is divided by 49. β†’: 15 Q: What is the remainder when 49 is divided by 21? β†’: 7 Q: Calculate the remainder when 202 is divided by 41. β†’: 38 Q: What is the remainder when 219 is divided by 100? β†’: 19 Q: What is the remainder when 19916685 is divided by 61853? β†’: 19 Q: Calculate the remainder when 922459 is divided by 542. β†’: 517 Q: Calculate the remainder when 2535 is divided by 25. β†’: 10 Q: Calculate the remainder when 140 is divided by 13. β†’: 10 Q: What is the remainder when 235 is divided by 17? β†’: 14 Q: Calculate the remainder when 20924 is divided by 218. β†’: 214 Q: Calculate the remainder when 15099 is divided by 1886. β†’: 11 Q: Calculate the remainder when 62527 is divided by 390. β†’: 127 Q: Calculate the remainder when 367 is divided by 118. β†’: 13 Q: Calculate the remainder when 426 is divided by 3. β†’: 0 Q: What is the remainder when 237840 is divided by 29696? β†’: 272 Q: What is the remainder when 45747 is divided by 172? β†’: 167 Q: What is the remainder when 2002229 is divided by 24? β†’: 5 Q: What is the remainder when 9382343 is divided by 3771? β†’: 95 Q: Calculate the remainder when 3362 is divided by 116. β†’: 114 Q: What is the remainder when 334107 is divided by 3631? β†’: 55 Q: What is the remainder when 466 is divided by 36? β†’: 34 Q: Calculate the remainder when 2242707 is divided by 35042. β†’: 19 Q: What is the remainder when 39857 is divided by 204? β†’: 77 Q: Calculate the remainder when 21656 is divided by 361. β†’: 357 Q: Calculate the remainder when 94 is divided by 22. β†’: 6 Q: Calculate the remainder when 196586 is divided by 685. β†’: 676 Q: Calculate the remainder when 44629 is divided by 87. β†’: 85 Q: Calculate the remainder when 21849 is divided by 39. β†’: 9 Q: What is the remainder when 47036 is divided by 32? β†’: 28 Q: What is the remainder when 181782 is d
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measurement: time ----------------- Step: What is 107 minutes before 9:31 PM? Gives: 7:44 PM Step: What is 634 minutes before 1:11 AM? Gives: 2:37 PM Step: How many minutes are there between 7:34 PM and 11:05 PM? Gives: 211 Step: How many minutes are there between 2:28 AM and 10:38 AM? Gives: 490 Step: How many minutes are there between 8:27 PM and 6:18 AM? Gives: 591 Step: What is 54 minutes before 2:37 AM? Gives: 1:43 AM Step: How many minutes are there between 12:21 AM and 10:44 AM? Gives: 623 Step: What is 137 minutes after 1:06 AM? Gives: 3:23 AM Step: How many minutes are there between 5:12 AM and 8:13 AM? Gives: 181 Step: What is 175 minutes before 11:44 AM? Gives: 8:49 AM Step: How many minutes are there between 4:26 PM and 6:26 PM? Gives: 120 Step: What is 101 minutes before 12:06 AM? Gives: 10:25 PM Step: How many minutes are there between 12:47 PM and 8:40 PM? Gives: 473 Step: How many minutes are there between 9:14 AM and 12:00 PM? Gives: 166 Step: How many minutes are there between 4:57 AM and 12:31 PM? Gives: 454 Step: How many minutes are there between 12:38 PM and 8:16 PM? Gives: 458 Step: What is 41 minutes after 10:13 AM? Gives: 10:54 AM Step: How many minutes are there between 11:50 AM and 9:36 PM? Gives: 586 Step: What is 322 minutes before 7:38 AM? Gives: 2:16 AM Step: What is 675 minutes after 7:40 AM? Gives: 6:55 PM Step: What is 322 minutes before 12:51 PM? Gives: 7:29 AM Step: How many minutes are there between 4:18 AM and 7:55 AM? Gives: 217 Step: What is 195 minutes after 1:09 AM? Gives: 4:24 AM Step: What is 388 minutes before 10:38 PM? Gives: 4:10 PM Step: How many minutes are there between 2:05 PM and 4:21 PM? Gives: 136 Step: What is 467 minutes before 1:25 PM? Gives: 5:38 AM Step: What is 160 minutes before 3:23 PM? Gives: 12:43 PM Step: What is 582 minutes after 12:22 AM? Gives: 10:04 AM Step: What is 549 minutes after 9:34 PM? Gives: 6:43 AM Step: How many minutes are there between 10:05 AM and 8:32 PM? Gives: 627 Step: How many min
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numbers: gcd ------------ Question: What is the greatest common factor of 1911 and 3535203? Eval: 147 Question: Calculate the highest common factor of 48 and 27408. Eval: 48 Question: What is the highest common factor of 249 and 7116? Eval: 3 Question: What is the greatest common divisor of 339 and 1921? Eval: 113 Question: Calculate the highest common factor of 25215 and 455. Eval: 5 Question: What is the greatest common factor of 20 and 565? Eval: 5 Question: Calculate the greatest common divisor of 13 and 2337309. Eval: 13 Question: Calculate the greatest common divisor of 495305 and 49855. Eval: 295 Question: What is the highest common factor of 15 and 11205730? Eval: 5 Question: What is the greatest common factor of 46 and 3818? Eval: 46 Question: What is the highest common divisor of 32 and 6? Eval: 2 Question: Calculate the greatest common factor of 101777 and 13. Eval: 13 Question: Calculate the highest common divisor of 1551 and 726. Eval: 33 Question: What is the greatest common divisor of 140 and 100? Eval: 20 Question: What is the greatest common factor of 480010 and 27830? Eval: 230 Question: What is the greatest common divisor of 23693574 and 72? Eval: 6 Question: Calculate the greatest common divisor of 428 and 227054. Eval: 214 Question: Calculate the greatest common divisor of 611 and 52. Eval: 13 Question: What is the highest common divisor of 84 and 212674? Eval: 14 Question: Calculate the greatest common factor of 28699 and 30107. Eval: 11 Question: Calculate the greatest common factor of 300 and 4260. Eval: 60 Question: Calculate the greatest common factor of 42 and 10416. Eval: 42 Question: Calculate the greatest common divisor of 83150 and 5. Eval: 5 Question: What is the greatest common factor of 48 and 428964? Eval: 12 Question: Calculate the greatest common factor of 1649 and 789871. Eval: 1649 Question: What is the greatest common divisor of 13237976 and 24? Eval: 8 Question: Calculate the highest common factor of 10 and 2522530. Eval: 10
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numbers: place value -------------------- Subquestion: What is the hundred thousands digit of 25382148? Answer: 3 Subquestion: What is the hundreds digit of 2832? Answer: 8 Subquestion: What is the ten millions digit of 2500250641? Answer: 0 Subquestion: What is the tens digit of 9889? Answer: 8 Subquestion: What is the hundred thousands digit of 129334443? Answer: 3 Subquestion: What is the hundreds digit of 2365? Answer: 3 Subquestion: What is the hundreds digit of 35948705? Answer: 7 Subquestion: What is the thousands digit of 26545? Answer: 6 Subquestion: What is the tens digit of 878? Answer: 7 Subquestion: What is the hundreds digit of 1875? Answer: 8 Subquestion: What is the thousands digit of 13064733? Answer: 4 Subquestion: What is the units digit of 1195? Answer: 5 Subquestion: What is the units digit of 507? Answer: 7 Subquestion: What is the hundreds digit of 153991? Answer: 9 Subquestion: What is the hundreds digit of 7920? Answer: 9 Subquestion: What is the tens digit of 80787? Answer: 8 Subquestion: What is the hundred millions digit of 199212214? Answer: 1 Subquestion: What is the billions digit of 4912867649? Answer: 4 Subquestion: What is the tens digit of 411? Answer: 1 Subquestion: What is the ten thousands digit of 10558? Answer: 1 Subquestion: What is the tens digit of 68208? Answer: 0 Subquestion: What is the units digit of 125286? Answer: 6 Subquestion: What is the hundred thousands digit of 1054644136? Answer: 6 Subquestion: What is the tens digit of 14193? Answer: 9 Subquestion: What is the tens digit of 20533? Answer: 3 Subquestion: What is the tens digit of 4573482? Answer: 8 Subquestion: What is the ten thousands digit of 63733204? Answer: 3 Subquestion: What is the units digit of 23351? Answer: 1 Subquestion: What is the hundreds digit of 564297? Answer: 2 Subquestion: What is the hundreds digit of 3913109? Answer: 1 Subquestion: What is the hundreds digit of 34565? Answer: 5 Subquestion: What is the units digit of 308113? Answer: 3 Sub
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measurement: conversion ----------------------- Example: What is eighteen fifths of a kilometer in meters? Thus: 3600 Example: What is 10.00515 centimeters in kilometers? Thus: 0.0001000515 Example: How many centuries are there in 41/2 of a millennium? Thus: 205 Example: What is 268800.3 milliseconds in microseconds? Thus: 268800300 Example: How many nanometers are there in fifteen quarters of a micrometer? Thus: 3750 Example: What is fifteen quarters of a millimeter in micrometers? Thus: 3750 Example: What is 1/5 of a millennium in years? Thus: 200 Example: What is 51/5 of a microgram in nanograms? Thus: 10200 Example: What is five eighths of a decade in months? Thus: 75 Example: How many millilitres are there in 7/4 of a litre? Thus: 1750 Example: How many milligrams are there in five quarters of a gram? Thus: 1250 Example: How many micrometers are there in six fifths of a millimeter? Thus: 1200 Example: What is 5/8 of a kilometer in centimeters? Thus: 62500 Example: How many nanograms are there in 3/10 of a microgram? Thus: 300 Example: What is 1/5 of a litre in millilitres? Thus: 200 Example: What is 5.2631388 seconds in hours? Thus: 0.001461983 Example: What is 1/16 of a day in minutes? Thus: 90 Example: What is nine tenths of a micrometer in nanometers? Thus: 900 Example: How many weeks are there in 17753719.2 hours? Thus: 105676.9 Example: What is 1/10 of a day in minutes? Thus: 144 Example: What is 316.7958 days in seconds? Thus: 27371157.12 Example: What is fourty-nine fifths of a kilogram in grams? Thus: 9800 Example: What is 3/40 of a microgram in nanograms? Thus: 75 Example: What is 98899.68 grams in milligrams? Thus: 98899680 Example: Convert 0.2234661ml to litres. Thus: 0.0002234661 Example: How many hours are there in 27/4 of a week? Thus: 1134 Example: How many decades are there in 25/2 of a century? Thus: 125 Example: Convert 6.621725 micrograms to tonnes. Thus: 0.000000000006621725 Example: Convert 30541.41ml to litres. Thus: 30.54141 Example: What
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numbers: lcm ------------ Q: What is the common denominator of 107/387438 and -2/710303? Interpretation: 4261818 Q: Calculate the common denominator of 1/64 and 83/10. Interpretation: 320 Q: Calculate the lowest common multiple of 2633205 and 1402980. Interpretation: 705698940 Q: What is the common denominator of 107/6096 and 13/6858? Interpretation: 54864 Q: Find the common denominator of 52/10053 and -25/114. Interpretation: 382014 Q: What is the lowest common multiple of 316575 and 630? Interpretation: 633150 Q: What is the least common multiple of 9 and 321? Interpretation: 963 Q: Calculate the smallest common multiple of 231 and 4004. Interpretation: 12012 Q: What is the least common multiple of 848401 and 1180384? Interpretation: 27148832 Q: Calculate the common denominator of -7/510 and 157/483690. Interpretation: 8222730 Q: Calculate the least common multiple of 328 and 64. Interpretation: 2624 Q: What is the least common multiple of 696 and 174? Interpretation: 696 Q: What is the smallest common multiple of 53655 and 98? Interpretation: 107310 Q: Calculate the lowest common multiple of 102048 and 3232. Interpretation: 10306848 Q: What is the common denominator of 55/304 and -109/4550? Interpretation: 691600 Q: Calculate the common denominator of -119/10 and -47/80. Interpretation: 80 Q: What is the least common multiple of 161 and 230? Interpretation: 1610 Q: What is the common denominator of -16/92323161 and -57/10258129? Interpretation: 92323161 Q: Calculate the smallest common multiple of 3560 and 48950. Interpretation: 195800 Q: Calculate the common denominator of 75/16 and -45/30632. Interpretation: 61264 Q: What is the common denominator of 35/27 and -143/558? Interpretation: 1674 Q: Find the common denominator of 31/567 and -31/882. Interpretation: 7938 Q: Calculate the smallest common multiple of 170 and 1141822. Interpretation: 5709110 Q: What is the common denominator of -41/13578325 and 191/378930? Interpretation: 81469950 Q: What is the least co
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arithmetic: nearest integer root -------------------------------- Test item: What is 2244 to the power of 1/10, to the nearest integer? Fix: 2 Test item: What is the square root of 113969 to the nearest integer? Fix: 338 Test item: What is the square root of 648407 to the nearest integer? Fix: 805 Test item: What is the third root of 9613 to the nearest integer? Fix: 21 Test item: What is 17471076 to the power of 1/9, to the nearest integer? Fix: 6 Test item: What is 1166791969 to the power of 1/10, to the nearest integer? Fix: 8 Test item: What is 155118 to the power of 1/6, to the nearest integer? Fix: 7 Test item: What is the eighth root of 829649 to the nearest integer? Fix: 5 Test item: What is the square root of 14843329 to the nearest integer? Fix: 3853 Test item: What is 1604 to the power of 1/2, to the nearest integer? Fix: 40 Test item: What is 55209691 to the power of 1/2, to the nearest integer? Fix: 7430 Test item: What is the fifth root of 1231494 to the nearest integer? Fix: 17 Test item: What is the tenth root of 12805760 to the nearest integer? Fix: 5 Test item: What is 14168697 to the power of 1/2, to the nearest integer? Fix: 3764 Test item: What is the square root of 5835564 to the nearest integer? Fix: 2416 Test item: What is 1555122238 to the power of 1/5, to the nearest integer? Fix: 69 Test item: What is 2738594908 to the power of 1/10, to the nearest integer? Fix: 9 Test item: What is the seventh root of 6491920 to the nearest integer? Fix: 9 Test item: What is the fourth root of 6073203 to the nearest integer? Fix: 50 Test item: What is 4351992 to the power of 1/2, to the nearest integer? Fix: 2086 Test item: What is the cube root of 11921587 to the nearest integer? Fix: 228 Test item: What is 105160424 to the power of 1/3, to the nearest integer? Fix: 472 Test item: What is 405 to the power of 1/7, to the nearest integer? Fix: 2 Test item: What is the third root of 13708 to the nearest integer? Fix: 24 Test item: What is the tenth root of
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probability: swr p sequence --------------------------- Qn: What is prob of sequence qkk when three letters picked without replacement from kqk? Clarification: 1/3 Qn: What is prob of sequence pp when two letters picked without replacement from {o: 9, p: 9}? Clarification: 4/17 Qn: Two letters picked without replacement from ssyy. Give prob of sequence sy. Clarification: 1/3 Qn: What is prob of sequence ddpl when four letters picked without replacement from {l: 1, a: 2, d: 1, p: 1, s: 1, n: 1}? Clarification: 0 Qn: Two letters picked without replacement from {a: 2, d: 1, p: 2}. What is prob of sequence pa? Clarification: 1/5 Qn: Calculate prob of sequence iw when two letters picked without replacement from wwiiwiw. Clarification: 2/7 Qn: Calculate prob of sequence kkbk when four letters picked without replacement from bubkkukkb. Clarification: 1/42 Qn: Calculate prob of sequence qpqq when four letters picked without replacement from {p: 2, q: 4}. Clarification: 2/15 Qn: Calculate prob of sequence tz when two letters picked without replacement from ztsttzstzttttztt. Clarification: 1/6 Qn: Two letters picked without replacement from {k: 5, j: 7}. What is prob of sequence jk? Clarification: 35/132 Qn: Calculate prob of sequence pqqp when four letters picked without replacement from qqqqppp. Clarification: 3/35 Qn: What is prob of sequence pp when two letters picked without replacement from {p: 2, f: 8, z: 7, e: 3}? Clarification: 1/190 Qn: What is prob of sequence glll when four letters picked without replacement from {g: 1, l: 12}? Clarification: 1/13 Qn: Calculate prob of sequence umu when three letters picked without replacement from {m: 2, u: 1}. Clarification: 0 Qn: Two letters picked without replacement from {r: 6}. Give prob of sequence rr. Clarification: 1 Qn: Four letters picked without replacement from jjjd. Give prob of sequence jjjd. Clarification: 1/4 Qn: Four letters picked without replacement from dxdhfhxdfffvvhddfhx. Give prob of sequence vxhx. Clarific
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numbers: gcd ------------ Question: Calculate the highest common factor of 8275 and 38052422. Fix: 331 Question: What is the highest common factor of 5183 and 146? Fix: 73 Question: What is the greatest common factor of 1239 and 177492? Fix: 21 Question: Calculate the greatest common divisor of 244139 and 371. Fix: 7 Question: What is the greatest common factor of 25424 and 251743? Fix: 227 Question: Calculate the greatest common divisor of 42 and 19326. Fix: 6 Question: What is the greatest common divisor of 406 and 28? Fix: 14 Question: What is the greatest common divisor of 56 and 139496? Fix: 56 Question: What is the greatest common factor of 55 and 55? Fix: 55 Question: What is the highest common factor of 3354 and 8403096? Fix: 78 Question: What is the highest common factor of 8 and 1724936072? Fix: 8 Question: What is the highest common divisor of 24 and 18198? Fix: 6 Question: Calculate the highest common divisor of 84 and 58848. Fix: 12 Question: What is the greatest common divisor of 86058336 and 1248? Fix: 1248 Question: Calculate the highest common divisor of 76 and 1862. Fix: 38 Question: What is the highest common factor of 30 and 3066? Fix: 6 Question: What is the highest common factor of 48051936 and 108? Fix: 36 Question: What is the greatest common factor of 156460 and 3200? Fix: 20 Question: What is the greatest common factor of 20 and 1230? Fix: 10 Question: What is the highest common divisor of 119 and 7? Fix: 7 Question: Calculate the greatest common factor of 27350 and 70. Fix: 10 Question: Calculate the greatest common divisor of 166265 and 55. Fix: 55 Question: Calculate the highest common divisor of 1113 and 12561. Fix: 159 Question: What is the highest common factor of 317 and 1481975? Fix: 317 Question: Calculate the greatest common divisor of 559 and 216118. Fix: 43 Question: Calculate the highest common divisor of 127165 and 1160. Fix: 145 Question: Calculate the highest common divisor of 285306395 and 22. Fix: 11 Question: Calculate th
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