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probability: swr p level set ---------------------------- Let: What is prob of picking 1 h and 1 g when two letters picked without replacement from {o: 5, c: 1, j: 1, g: 1, h: 1}? Eval: 1/36 Let: Calculate prob of picking 4 m when four letters picked without replacement from {h: 2, m: 10}. Eval: 14/33 Let: What is prob of picking 1 e, 1 f, and 1 d when three letters picked without replacement from {d: 3, e: 2, j: 1, f: 1}? Eval: 6/35 Let: Two letters picked without replacement from {i: 4, g: 2, j: 5}. Give prob of picking 1 j and 1 g. Eval: 2/11 Let: Four letters picked without replacement from {g: 1, b: 3, x: 2, u: 2, w: 6, n: 1}. What is prob of picking 1 b, 1 x, 1 u, and 1 n? Eval: 4/455 Let: Calculate prob of picking 2 d and 1 p when three letters picked without replacement from llpdlppldppplplplpl. Eval: 3/323 Let: Three letters picked without replacement from {j: 4}. Give prob of picking 3 j. Eval: 1 Let: What is prob of picking 1 q and 1 v when two letters picked without replacement from {h: 7, a: 3, k: 1, v: 1, r: 3, q: 2}? Eval: 1/68 Let: What is prob of picking 2 j when two letters picked without replacement from bjbbbjbb? Eval: 1/28 Let: What is prob of picking 1 m and 1 x when two letters picked without replacement from mmxpxmxpxmxpxf? Eval: 24/91 Let: What is prob of picking 2 g when two letters picked without replacement from gygygg? Eval: 2/5 Let: Three letters picked without replacement from zezznzzneeozm. Give prob of picking 2 n and 1 e. Eval: 3/286 Let: Four letters picked without replacement from xjxjjjxxjjjjjjjxjx. Give prob of picking 3 j and 1 x. Eval: 22/51 Let: Three letters picked without replacement from xixxxxix. What is prob of picking 1 x and 2 i? Eval: 3/28 Let: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from uvuuvuvvuvvvvvuuuuu. Eval: 10/19 Let: Two letters picked without replacement from zeotvtvw. What is prob of picking 2 t? Eval: 1/28 Let: Four letters picked without replacement from ppbpbbppb
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measurement: conversion ----------------------- Exercise: How many meters are there in 862110.3km? Hence: 862110300 Exercise: What is 1/10 of a kilogram in milligrams? Hence: 100000 Exercise: How many kilograms are there in eleven quarters of a tonne? Hence: 2750 Exercise: How many micrometers are there in 1/10 of a centimeter? Hence: 1000 Exercise: How many millilitres are there in 51/5 of a litre? Hence: 10200 Exercise: What is 3/40 of a kilogram in milligrams? Hence: 75000 Exercise: What is 1/5 of a litre in millilitres? Hence: 200 Exercise: What is 9424.23s in microseconds? Hence: 9424230000 Exercise: What is 874.6918mg in micrograms? Hence: 874691.8 Exercise: What is 994534.2 milliseconds in days? Hence: 0.0115108125 Exercise: What is twenty-five eighths of a millennium in months? Hence: 37500 Exercise: How many grams are there in thirteen fifths of a kilogram? Hence: 2600 Exercise: What is 34/5 of a meter in centimeters? Hence: 680 Exercise: What is six fifths of a microgram in nanograms? Hence: 1200 Exercise: Convert 241125.9 months to decades. Hence: 2009.3825 Exercise: How many kilometers are there in 988337.5 millimeters? Hence: 0.9883375 Exercise: How many millilitres are there in 4600.894 litres? Hence: 4600894 Exercise: How many millilitres are there in 36450.44 litres? Hence: 36450440 Exercise: Convert 6.503584 centuries to decades. Hence: 65.03584 Exercise: What is 42/5 of a litre in millilitres? Hence: 8400 Exercise: How many days are there in 2310809.04ns? Hence: 0.000000026745475 Exercise: What is seven quarters of a century in years? Hence: 175 Exercise: What is one quarter of a millennium in months? Hence: 3000 Exercise: How many hours are there in 11/4 of a day? Hence: 66 Exercise: Convert 61.8993m to nanometers. Hence: 61899300000 Exercise: Convert 61919.79 nanometers to kilometers. Hence: 0.00000006191979 Exercise: Convert 1.147285l to millilitres. Hence: 1147.285 Exercise: What is 11.22694 minutes in nanoseconds? Hence: 673616400000 Exercise:
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numbers: is factor ------------------ Situation: Is 226882538 a multiple of 178? Derivation: True Situation: Does 7 divide 3262? Derivation: True Situation: Is 29296 a multiple of 16? Derivation: True Situation: Is 5467625 a multiple of 17? Derivation: True Situation: Is 2605680 a multiple of 12? Derivation: True Situation: Is 6 a factor of 409? Derivation: False Situation: Is 503052 a multiple of 132? Derivation: True Situation: Is 26669 a multiple of 93? Derivation: False Situation: Is 13897701 a multiple of 7? Derivation: False Situation: Is 54215455 a multiple of 665? Derivation: True Situation: Does 2 divide 35800? Derivation: True Situation: Is 564763 a multiple of 659? Derivation: True Situation: Does 960 divide 1998720434? Derivation: False Situation: Is 116730200 a multiple of 398? Derivation: False Situation: Does 368 divide 3427920? Derivation: True Situation: Is 51807360 a multiple of 120? Derivation: True Situation: Does 8 divide 6216? Derivation: True Situation: Does 733 divide 4931783851? Derivation: False Situation: Does 31 divide 383399? Derivation: False Situation: Does 235 divide 24575? Derivation: False Situation: Is 2520 a multiple of 24? Derivation: True Situation: Is 16 a factor of 704? Derivation: True Situation: Does 8 divide 24464? Derivation: True Situation: Is 97766666 a multiple of 1607? Derivation: True Situation: Is 295596 a multiple of 63? Derivation: True Situation: Does 20 divide 450024380? Derivation: True Situation: Is 155558398 a multiple of 146? Derivation: False Situation: Does 747 divide 4059198? Derivation: True Situation: Is 14954 a multiple of 7? Derivation: False Situation: Is 144 a factor of 32530? Derivation: False Situation: Is 32 a factor of 41230? Derivation: False Situation: Does 28 divide 538? Derivation: False Situation: Is 60 a factor of 41828640? Derivation: True Situation: Does 6 divide 424? Derivation: False Situation: Is 5695 a multiple of 19? Derivation: False Situation: Is 4352470 a multiple of 29? Derivatio
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numbers: is factor ------------------ Qn: Is 899 a multiple of 29? Resolution: True Qn: Is 20 a factor of 7146161? Resolution: False Qn: Is 215 a multiple of 5? Resolution: True Qn: Is 15331116 a multiple of 22? Resolution: False Qn: Is 3 a factor of 939? Resolution: True Qn: Is 32965 a multiple of 162? Resolution: False Qn: Is 868280982 a multiple of 6960? Resolution: False Qn: Is 11 a factor of 36350? Resolution: False Qn: Is 76274 a multiple of 450? Resolution: False Qn: Does 6 divide 19004? Resolution: False Qn: Does 47 divide 422836628? Resolution: True Qn: Is 3380 a factor of 600094642? Resolution: False Qn: Is 52 a factor of 95529835? Resolution: False Qn: Is 1049467 a multiple of 7? Resolution: False Qn: Does 128 divide 411136? Resolution: True Qn: Is 347830 a multiple of 35? Resolution: True Qn: Does 115 divide 1069302315? Resolution: True Qn: Is 48611160 a multiple of 170? Resolution: True Qn: Does 54 divide 2097? Resolution: False Qn: Is 2761 a factor of 12024155? Resolution: True Qn: Is 53677824 a multiple of 323? Resolution: False Qn: Is 4 a factor of 832938? Resolution: False Qn: Is 11245 a multiple of 122? Resolution: False Qn: Is 371500 a multiple of 12? Resolution: False Qn: Is 4505 a multiple of 53? Resolution: True Qn: Is 632918 a multiple of 11? Resolution: True Qn: Does 2 divide 509477? Resolution: False Qn: Is 2650805 a multiple of 36? Resolution: False Qn: Is 31 a factor of 163326073? Resolution: True Qn: Is 29 a factor of 5192? Resolution: False Qn: Is 193522 a multiple of 21? Resolution: False Qn: Is 5113201263 a multiple of 1020? Resolution: False Qn: Is 13 a factor of 637? Resolution: True Qn: Is 4187 a factor of 218953896? Resolution: False Qn: Is 4406 a factor of 765198832? Resolution: True Qn: Does 22 divide 5104? Resolution: True Qn: Is 517890 a multiple of 427? Resolution: False Qn: Does 80 divide 407987282? Resolution: False Qn: Is 111192304 a multiple of 212? Resolution: True Qn: Is 64 a multiple of 32? Resolution: True Qn: Does 198
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numbers: div remainder ---------------------- Problem Statement: What is the remainder when 126051 is divided by 6829? Math A: 3129 Problem Statement: What is the remainder when 4137 is divided by 221? Math A: 159 Problem Statement: What is the remainder when 16496 is divided by 1104? Math A: 1040 Problem Statement: Calculate the remainder when 1126 is divided by 29. Math A: 24 Problem Statement: Calculate the remainder when 17816757 is divided by 470. Math A: 467 Problem Statement: Calculate the remainder when 349 is divided by 202. Math A: 147 Problem Statement: What is the remainder when 3299 is divided by 336? Math A: 275 Problem Statement: Calculate the remainder when 756828 is divided by 129. Math A: 114 Problem Statement: What is the remainder when 1426 is divided by 42? Math A: 40 Problem Statement: What is the remainder when 322 is divided by 36? Math A: 34 Problem Statement: What is the remainder when 2984 is divided by 103? Math A: 100 Problem Statement: What is the remainder when 15983 is divided by 13832? Math A: 2151 Problem Statement: What is the remainder when 53317 is divided by 1334? Math A: 1291 Problem Statement: Calculate the remainder when 2683 is divided by 554. Math A: 467 Problem Statement: What is the remainder when 1594 is divided by 14? Math A: 12 Problem Statement: Calculate the remainder when 3555687 is divided by 44. Math A: 3 Problem Statement: Calculate the remainder when 271 is divided by 91. Math A: 89 Problem Statement: What is the remainder when 184376076 is divided by 1617334? Math A: 0 Problem Statement: Calculate the remainder when 2287676 is divided by 1093. Math A: 27 Problem Statement: Calculate the remainder when 317 is divided by 11. Math A: 9 Problem Statement: What is the remainder when 14780 is divided by 912? Math A: 188 Problem Statement: What is the remainder when 3619 is divided by 428? Math A: 195 Problem Statement: Calculate the remainder when 1632 is divided by 24. Math A: 0 Problem Statement: What is the remain
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measurement: time ----------------- Qn: What is 148 minutes after 8:30 PM? Therefore: 10:58 PM Qn: How many minutes are there between 11:35 AM and 7:03 PM? Therefore: 448 Qn: What is 578 minutes after 11:35 AM? Therefore: 9:13 PM Qn: What is 265 minutes before 2:13 AM? Therefore: 9:48 PM Qn: How many minutes are there between 9:08 PM and 4:32 AM? Therefore: 444 Qn: What is 303 minutes after 3:36 PM? Therefore: 8:39 PM Qn: What is 707 minutes before 1:07 PM? Therefore: 1:20 AM Qn: How many minutes are there between 2:59 AM and 11:36 AM? Therefore: 517 Qn: What is 624 minutes after 5:04 AM? Therefore: 3:28 PM Qn: How many minutes are there between 5:14 PM and 11:40 PM? Therefore: 386 Qn: How many minutes are there between 6:51 AM and 5:11 PM? Therefore: 620 Qn: What is 289 minutes before 9:31 PM? Therefore: 4:42 PM Qn: How many minutes are there between 6:44 AM and 1:23 PM? Therefore: 399 Qn: What is 624 minutes after 8:55 AM? Therefore: 7:19 PM Qn: How many minutes are there between 10:38 PM and 2:33 AM? Therefore: 235 Qn: What is 474 minutes before 10:45 PM? Therefore: 2:51 PM Qn: How many minutes are there between 12:00 PM and 11:18 PM? Therefore: 678 Qn: What is 353 minutes before 11:54 PM? Therefore: 6:01 PM Qn: What is 317 minutes after 6:31 AM? Therefore: 11:48 AM Qn: How many minutes are there between 1:38 AM and 12:45 PM? Therefore: 667 Qn: What is 39 minutes after 11:34 AM? Therefore: 12:13 PM Qn: What is 679 minutes after 4:34 PM? Therefore: 3:53 AM Qn: How many minutes are there between 1:55 PM and 3:46 PM? Therefore: 111 Qn: How many minutes are there between 4:04 AM and 6:59 AM? Therefore: 175 Qn: How many minutes are there between 12:10 AM and 2:49 AM? Therefore: 159 Qn: How many minutes are there between 5:30 AM and 9:40 AM? Therefore: 250 Qn: What is 253 minutes before 6:49 PM? Therefore: 2:36 PM Qn: What is 255 minutes after 8:38 PM? Therefore: 12:53 AM Qn: How many minutes are there between 1:10 PM and 11:21 PM? Therefore: 611 Qn: How many minutes a
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numbers: is prime ----------------- Test item: Is 5545 composite? Sol: True Test item: Is 250169 a composite number? Sol: False Test item: Is 43481 composite? Sol: False Test item: Is 115704773 prime? Sol: True Test item: Is 1810774627 a prime number? Sol: False Test item: Is 471119821 composite? Sol: False Test item: Is 1396649 prime? Sol: False Test item: Is 4857869 prime? Sol: False Test item: Is 74555519 a prime number? Sol: False Test item: Is 1279667 composite? Sol: False Test item: Is 2244061 composite? Sol: True Test item: Is 25550543611 prime? Sol: True Test item: Is 246819574 composite? Sol: True Test item: Is 135497028143 a composite number? Sol: False Test item: Is 277185239 prime? Sol: True Test item: Is 148978757 a prime number? Sol: True Test item: Is 899076691 prime? Sol: True Test item: Is 256117 a composite number? Sol: False Test item: Is 12571335589 composite? Sol: False Test item: Is 33793 prime? Sol: False Test item: Is 2752704233 a composite number? Sol: False Test item: Is 146977 prime? Sol: True Test item: Is 301447 composite? Sol: False Test item: Is 562928999 prime? Sol: False Test item: Is 2225947 composite? Sol: True Test item: Is 10133 a composite number? Sol: False Test item: Is 218802889 prime? Sol: False Test item: Is 18382034249 a prime number? Sol: True Test item: Is 40246963 a prime number? Sol: True Test item: Is 242906709 a prime number? Sol: False Test item: Is 11683247 a prime number? Sol: False Test item: Is 272490307 a prime number? Sol: True Test item: Is 92496389 a prime number? Sol: False Test item: Is 22799989123 a prime number? Sol: True Test item: Is 68945619 prime? Sol: False Test item: Is 303179 a prime number? Sol: False Test item: Is 27912951445 a prime number? Sol: False Test item: Is 8602688437 a composite number? Sol: True Test item: Is 22450087 a composite number? Sol: True Test item: Is 10223 a composite number? Sol: False Test item: Is 998792819 prime? Sol: False Test item: Is 41577 a composite number? Sol: T
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numbers: div remainder ---------------------- Test item: Calculate the remainder when 701073 is divided by 225. Calculation: 198 Test item: What is the remainder when 34396 is divided by 4910? Calculation: 26 Test item: What is the remainder when 1039 is divided by 105? Calculation: 94 Test item: Calculate the remainder when 128951 is divided by 3002. Calculation: 2867 Test item: What is the remainder when 517 is divided by 82? Calculation: 25 Test item: What is the remainder when 58377 is divided by 2106? Calculation: 1515 Test item: What is the remainder when 42281 is divided by 1128? Calculation: 545 Test item: What is the remainder when 388 is divided by 39? Calculation: 37 Test item: What is the remainder when 421 is divided by 42? Calculation: 1 Test item: What is the remainder when 650 is divided by 214? Calculation: 8 Test item: Calculate the remainder when 436289 is divided by 249. Calculation: 41 Test item: What is the remainder when 868786 is divided by 1717? Calculation: 1701 Test item: What is the remainder when 3888653 is divided by 105098? Calculation: 27 Test item: Calculate the remainder when 66 is divided by 17. Calculation: 15 Test item: What is the remainder when 238 is divided by 136? Calculation: 102 Test item: What is the remainder when 397 is divided by 208? Calculation: 189 Test item: What is the remainder when 227 is divided by 82? Calculation: 63 Test item: Calculate the remainder when 91 is divided by 5. Calculation: 1 Test item: What is the remainder when 5568 is divided by 45? Calculation: 33 Test item: Calculate the remainder when 10060 is divided by 9353. Calculation: 707 Test item: Calculate the remainder when 85769 is divided by 2382. Calculation: 17 Test item: What is the remainder when 24876508 is divided by 1908? Calculation: 4 Test item: Calculate the remainder when 14201 is divided by 6665. Calculation: 871 Test item: What is the remainder when 7236 is divided by 1994? Calculation: 1254 Test item: What is the remainder when 204
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probability: swr p sequence --------------------------- Subject: Calculate prob of sequence uppu when four letters picked without replacement from uupuupuppuu. Eval: 7/110 Subject: Two letters picked without replacement from awjwhawwwawaw. Give prob of sequence aa. Eval: 1/13 Subject: What is prob of sequence rs when two letters picked without replacement from rmusi? Eval: 1/20 Subject: Calculate prob of sequence mf when two letters picked without replacement from fwmmmwfwlf. Eval: 1/10 Subject: Calculate prob of sequence ecue when four letters picked without replacement from {e: 2, z: 2, u: 2, c: 1, k: 1, v: 1}. Eval: 1/756 Subject: Calculate prob of sequence awaw when four letters picked without replacement from {a: 10, w: 4}. Eval: 45/1001 Subject: Three letters picked without replacement from {k: 1, z: 1, j: 1, q: 1, x: 1}. Give prob of sequence xqj. Eval: 1/60 Subject: Three letters picked without replacement from dtttdtdhnnd. What is prob of sequence hhd? Eval: 0 Subject: Four letters picked without replacement from {x: 3, b: 4, t: 7}. What is prob of sequence xbxt? Eval: 1/143 Subject: What is prob of sequence rzrz when four letters picked without replacement from zrrrrrrrrrz? Eval: 1/55 Subject: Four letters picked without replacement from rkkrr. What is prob of sequence rrkr? Eval: 1/10 Subject: Three letters picked without replacement from {d: 3, m: 3, p: 1, c: 3, f: 2, g: 3}. What is prob of sequence gff? Eval: 1/455 Subject: Four letters picked without replacement from mvmbmccmm. What is prob of sequence mbcc? Eval: 5/1512 Subject: Four letters picked without replacement from wewwefwweffeeefwfew. Give prob of sequence fwfw. Eval: 35/3876 Subject: Two letters picked without replacement from {m: 3, b: 1, x: 12}. Give prob of sequence mb. Eval: 1/80 Subject: Calculate prob of sequence hf when two letters picked without replacement from hftif. Eval: 1/10 Subject: Calculate prob of sequence ytq when three letters picked without replacement from bbbbbbbbbtybbq
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probability: swr p level set ---------------------------- Example: What is prob of picking 3 v when three letters picked without replacement from vvvvvvvvvvvl? Derivation: 3/4 Example: Two letters picked without replacement from {i: 5, h: 1, e: 3, u: 3}. What is prob of picking 1 h and 1 u? Derivation: 1/22 Example: Calculate prob of picking 2 g when two letters picked without replacement from ggwddgdwedgwgwdgd. Derivation: 15/136 Example: Three letters picked without replacement from bmcwmhbmcbib. What is prob of picking 1 m, 1 w, and 1 c? Derivation: 3/110 Example: Four letters picked without replacement from {a: 3, u: 7, z: 1, v: 1}. What is prob of picking 2 a, 1 u, and 1 z? Derivation: 7/165 Example: Calculate prob of picking 3 p when three letters picked without replacement from ppppppppp. Derivation: 1 Example: Four letters picked without replacement from obkfoqfs. What is prob of picking 1 k, 2 o, and 1 s? Derivation: 1/70 Example: Two letters picked without replacement from {d: 5, z: 3, h: 6, v: 3, u: 1}. Give prob of picking 1 d and 1 u. Derivation: 5/153 Example: Two letters picked without replacement from {l: 1, z: 1, q: 1, a: 1, u: 1}. What is prob of picking 1 l and 1 u? Derivation: 1/10 Example: Three letters picked without replacement from {l: 1, u: 4, s: 2, j: 2}. Give prob of picking 1 u, 1 l, and 1 s. Derivation: 2/21 Example: What is prob of picking 1 o, 2 d, and 1 t when four letters picked without replacement from {e: 5, d: 2, m: 2, t: 9, o: 2}? Derivation: 6/1615 Example: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, k: 2, b: 1}. Derivation: 1/10 Example: What is prob of picking 1 n, 1 z, and 1 w when three letters picked without replacement from {a: 2, w: 1, z: 1, y: 1, n: 1, t: 1}? Derivation: 1/35 Example: Two letters picked without replacement from {o: 3, w: 1, v: 5, t: 4, j: 1}. What is prob of picking 1 j and 1 o? Derivation: 3/91 Example: Two letters picked without replacement from wwtwwwwwtwtwwrr
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measurement: conversion ----------------------- Conundrum: What is twenty-six fifths of a litre in millilitres? Explanation: 5200 Conundrum: How many milligrams are there in 3/32 of a kilogram? Explanation: 93750 Conundrum: How many milligrams are there in 6.388526 grams? Explanation: 6388.526 Conundrum: How many years are there in 11/2 of a decade? Explanation: 55 Conundrum: How many millimeters are there in 926.7074km? Explanation: 926707400 Conundrum: What is 207787.7km in nanometers? Explanation: 207787700000000000 Conundrum: What is twenty-five halves of a meter in centimeters? Explanation: 1250 Conundrum: What is 3/50 of a litre in millilitres? Explanation: 60 Conundrum: How many tonnes are there in 0.5330977 micrograms? Explanation: 0.0000000000005330977 Conundrum: How many milligrams are there in fifty-one fifths of a gram? Explanation: 10200 Conundrum: What is 3/5 of a millennium in centuries? Explanation: 6 Conundrum: What is seventeen tenths of a litre in millilitres? Explanation: 1700 Conundrum: How many hours are there in 4/3 of a day? Explanation: 32 Conundrum: How many milligrams are there in twenty-seven halves of a gram? Explanation: 13500 Conundrum: What is 3.990945um in kilometers? Explanation: 0.000000003990945 Conundrum: How many millilitres are there in twenty-seven halves of a litre? Explanation: 13500 Conundrum: How many months are there in four fifteenths of a decade? Explanation: 32 Conundrum: How many kilograms are there in 383.1455 tonnes? Explanation: 383145.5 Conundrum: What is thirty-one fifths of a micrometer in nanometers? Explanation: 6200 Conundrum: What is 1958.966 centuries in years? Explanation: 195896.6 Conundrum: Convert 0.7829796km to nanometers. Explanation: 782979600000 Conundrum: How many months are there in 1/5 of a century? Explanation: 240 Conundrum: How many minutes are there in thirty-four fifths of a day? Explanation: 9792 Conundrum: How many years are there in 422.1832 millennia? Explanation: 422183.2 Conundrum: Con
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numbers: div remainder ---------------------- Let us solve: What is the remainder when 143960 is divided by 47917? Eval: 209 Let us solve: Calculate the remainder when 17491 is divided by 79. Eval: 32 Let us solve: What is the remainder when 62437 is divided by 20806? Eval: 19 Let us solve: What is the remainder when 77 is divided by 12? Eval: 5 Let us solve: Calculate the remainder when 106 is divided by 28. Eval: 22 Let us solve: What is the remainder when 1840 is divided by 10? Eval: 0 Let us solve: What is the remainder when 6586 is divided by 1840? Eval: 1066 Let us solve: What is the remainder when 4384469 is divided by 2192233? Eval: 3 Let us solve: Calculate the remainder when 584 is divided by 118. Eval: 112 Let us solve: Calculate the remainder when 556 is divided by 155. Eval: 91 Let us solve: Calculate the remainder when 53318 is divided by 52419. Eval: 899 Let us solve: What is the remainder when 43515 is divided by 92? Eval: 91 Let us solve: Calculate the remainder when 2374881 is divided by 56535. Eval: 411 Let us solve: What is the remainder when 1244120 is divided by 622047? Eval: 26 Let us solve: Calculate the remainder when 37123 is divided by 3357. Eval: 196 Let us solve: What is the remainder when 2825 is divided by 77? Eval: 53 Let us solve: What is the remainder when 1376851 is divided by 1262? Eval: 9 Let us solve: Calculate the remainder when 60189 is divided by 60. Eval: 9 Let us solve: Calculate the remainder when 1767 is divided by 68. Eval: 67 Let us solve: What is the remainder when 386110 is divided by 12? Eval: 10 Let us solve: What is the remainder when 438 is divided by 5? Eval: 3 Let us solve: Calculate the remainder when 3344 is divided by 30. Eval: 14 Let us solve: What is the remainder when 3222 is divided by 75? Eval: 72 Let us solve: Calculate the remainder when 6819 is divided by 2272. Eval: 3 Let us solve: What is the remainder when 182 is divided by 46? Eval: 44 Let us solve: What is the remainder when 6661 is divided by 7?
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numbers: place value -------------------- Q-: What is the units digit of 2764? Fix: 4 Q-: What is the ten millions digit of 372676787? Fix: 7 Q-: What is the tens digit of 4040180? Fix: 8 Q-: What is the hundred thousands digit of 10148726? Fix: 1 Q-: What is the ten thousands digit of 35855? Fix: 3 Q-: What is the ten thousands digit of 2716443138? Fix: 4 Q-: What is the tens digit of 8794565? Fix: 6 Q-: What is the thousands digit of 942894546? Fix: 4 Q-: What is the units digit of 10719405? Fix: 5 Q-: What is the tens digit of 349575? Fix: 7 Q-: What is the ten thousands digit of 1436770? Fix: 3 Q-: What is the ten millions digit of 56592399? Fix: 5 Q-: What is the ten thousands digit of 1304414? Fix: 0 Q-: What is the ten thousands digit of 423123925? Fix: 2 Q-: What is the ten thousands digit of 2377004? Fix: 7 Q-: What is the units digit of 11083? Fix: 3 Q-: What is the hundreds digit of 3811? Fix: 8 Q-: What is the hundreds digit of 966? Fix: 9 Q-: What is the hundred thousands digit of 843520959? Fix: 5 Q-: What is the ten thousands digit of 57024? Fix: 5 Q-: What is the tens digit of 2296084? Fix: 8 Q-: What is the ten thousands digit of 479185? Fix: 7 Q-: What is the hundreds digit of 224510105? Fix: 1 Q-: What is the ten millions digit of 336778674? Fix: 3 Q-: What is the units digit of 2861? Fix: 1 Q-: What is the units digit of 17527? Fix: 7 Q-: What is the units digit of 882? Fix: 2 Q-: What is the thousands digit of 7347876? Fix: 7 Q-: What is the tens digit of 1712? Fix: 1 Q-: What is the ten millions digit of 936300833? Fix: 3 Q-: What is the units digit of 79735? Fix: 5 Q-: What is the hundred millions digit of 173274847? Fix: 1 Q-: What is the millions digit of 6359623? Fix: 6 Q-: What is the thousands digit of 14133081? Fix: 3 Q-: What is the hundred thousands digit of 2001937104? Fix: 9 Q-: What is the ten millions digit of 60644571? Fix: 6 Q-: What is the hundred millions digit of 3507259368? Fix: 5 Q-: What is the ten thousands digit of 255663
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probability: swr p sequence --------------------------- Conundrum: Three letters picked without replacement from vvvvv. What is prob of sequence vvv? Therefore: 1 Conundrum: Three letters picked without replacement from {u: 3, z: 6, l: 2, f: 4, o: 1}. Give prob of sequence lul. Therefore: 1/560 Conundrum: Four letters picked without replacement from hhhxxhhxxxxxhxxxxx. Give prob of sequence xhxh. Therefore: 11/204 Conundrum: What is prob of sequence te when two letters picked without replacement from {t: 1, p: 5, e: 3, l: 1, f: 1}? Therefore: 3/110 Conundrum: Four letters picked without replacement from wxyiwqxqqqyiy. What is prob of sequence qyyw? Therefore: 2/715 Conundrum: What is prob of sequence klel when four letters picked without replacement from yyeykklklllykkk? Therefore: 1/455 Conundrum: What is prob of sequence oi when two letters picked without replacement from {o: 1, x: 3, i: 1, r: 5, f: 1, z: 1}? Therefore: 1/132 Conundrum: Three letters picked without replacement from {z: 2, o: 1, l: 7, d: 2, a: 1, x: 1}. Give prob of sequence zlo. Therefore: 1/156 Conundrum: Two letters picked without replacement from rcrpruacuaaurrcr. Give prob of sequence pa. Therefore: 1/80 Conundrum: Three letters picked without replacement from {w: 2, n: 8}. What is prob of sequence nww? Therefore: 1/45 Conundrum: Two letters picked without replacement from shswcscwhsh. Give prob of sequence hw. Therefore: 3/55 Conundrum: Four letters picked without replacement from {e: 7, h: 3}. Give prob of sequence ehhh. Therefore: 1/120 Conundrum: Calculate prob of sequence uz when two letters picked without replacement from uggugzuugugggggug. Therefore: 3/136 Conundrum: Calculate prob of sequence ltfl when four letters picked without replacement from {t: 1, f: 13, e: 3, l: 2}. Therefore: 13/46512 Conundrum: What is prob of sequence oo when two letters picked without replacement from tuuuuoououutouuo? Therefore: 1/12 Conundrum: Two letters picked without replacement from ootoootootoo. What
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numbers: is prime ----------------- Math Problem: Is 465069721 a prime number? Derivation: True Math Problem: Is 3928310341 a composite number? Derivation: False Math Problem: Is 6512434 composite? Derivation: True Math Problem: Is 3152188813 prime? Derivation: True Math Problem: Is 31718851 prime? Derivation: False Math Problem: Is 45882391 a prime number? Derivation: True Math Problem: Is 26929 a composite number? Derivation: True Math Problem: Is 56081 prime? Derivation: True Math Problem: Is 87179 a composite number? Derivation: False Math Problem: Is 481441 composite? Derivation: True Math Problem: Is 123929 a composite number? Derivation: True Math Problem: Is 287921 a prime number? Derivation: True Math Problem: Is 8090412833 composite? Derivation: False Math Problem: Is 258211 prime? Derivation: True Math Problem: Is 8147 prime? Derivation: True Math Problem: Is 385967 a composite number? Derivation: False Math Problem: Is 1943461027 composite? Derivation: True Math Problem: Is 20921 a prime number? Derivation: True Math Problem: Is 513829 prime? Derivation: True Math Problem: Is 4840351 composite? Derivation: True Math Problem: Is 6665891 composite? Derivation: True Math Problem: Is 96666887 a composite number? Derivation: False Math Problem: Is 4394879 a prime number? Derivation: True Math Problem: Is 6686479 a composite number? Derivation: False Math Problem: Is 786403609 composite? Derivation: False Math Problem: Is 4897703 a prime number? Derivation: True Math Problem: Is 24789958157 prime? Derivation: True Math Problem: Is 10313 a prime number? Derivation: True Math Problem: Is 6232659217 composite? Derivation: False Math Problem: Is 1154023 composite? Derivation: True Math Problem: Is 1108139 prime? Derivation: False Math Problem: Is 1154199 prime? Derivation: False Math Problem: Is 72707567147 prime? Derivation: False Math Problem: Is 125619674 composite? Derivation: True Math Problem: Is 7901 a prime number? Derivation: True Math Problem: Is 5514905
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numbers: is factor ------------------ Statement: Is 20 a factor of 377? Result: False Statement: Does 23 divide 1823? Result: False Statement: Is 402 a factor of 1073742? Result: True Statement: Is 40 a factor of 2396? Result: False Statement: Is 4 a factor of 724? Result: True Statement: Is 50111 a multiple of 11? Result: False Statement: Does 12 divide 28560072? Result: True Statement: Is 196 a factor of 133330? Result: False Statement: Is 5416 a factor of 766386510? Result: False Statement: Is 56 a factor of 9520? Result: True Statement: Is 19 a factor of 8363? Result: False Statement: Is 3000 a factor of 105782356? Result: False Statement: Does 7 divide 369? Result: False Statement: Does 17 divide 904? Result: False Statement: Is 91 a factor of 10920? Result: True Statement: Is 11868 a multiple of 6? Result: True Statement: Does 27 divide 997866? Result: True Statement: Is 1599596455 a multiple of 673? Result: False Statement: Is 108079037 a multiple of 2827? Result: True Statement: Does 14 divide 1077474057? Result: False Statement: Is 2790 a multiple of 15? Result: True Statement: Is 113993984 a multiple of 52? Result: True Statement: Does 4 divide 4764048? Result: True Statement: Is 114 a factor of 24738? Result: True Statement: Is 449558 a multiple of 667? Result: True Statement: Is 1647855 a multiple of 6? Result: False Statement: Is 7 a factor of 3598? Result: True Statement: Is 137215086 a multiple of 6? Result: True Statement: Does 46 divide 1491016? Result: False Statement: Does 230 divide 28808496? Result: False Statement: Does 43 divide 9342? Result: False Statement: Is 50 a factor of 272? Result: False Statement: Is 2728 a multiple of 20? Result: False Statement: Is 6 a factor of 380116740? Result: True Statement: Is 5819 a multiple of 69? Result: False Statement: Is 222 a multiple of 19? Result: False Statement: Is 90178 a multiple of 22? Result: True Statement: Is 24 a factor of 70795? Result: False Statement: Does 360 divide 209437560? Result: Tru
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numbers: place value -------------------- Example: What is the ten thousands digit of 14260? Fix: 1 Example: What is the hundred thousands digit of 42035524? Fix: 0 Example: What is the hundreds digit of 183042? Fix: 0 Example: What is the units digit of 159704? Fix: 4 Example: What is the hundred thousands digit of 1423781? Fix: 4 Example: What is the units digit of 95966439? Fix: 9 Example: What is the tens digit of 31? Fix: 3 Example: What is the tens digit of 983878? Fix: 7 Example: What is the tens digit of 5239? Fix: 3 Example: What is the ten thousands digit of 1068223? Fix: 6 Example: What is the millions digit of 33454478? Fix: 3 Example: What is the tens digit of 165787? Fix: 8 Example: What is the hundreds digit of 145986? Fix: 9 Example: What is the thousands digit of 237500? Fix: 7 Example: What is the hundred thousands digit of 26162756? Fix: 1 Example: What is the units digit of 990? Fix: 0 Example: What is the thousands digit of 53483170? Fix: 3 Example: What is the hundreds digit of 2289? Fix: 2 Example: What is the hundred millions digit of 4243691715? Fix: 2 Example: What is the tens digit of 5687? Fix: 8 Example: What is the tens digit of 83770? Fix: 7 Example: What is the units digit of 24714018? Fix: 8 Example: What is the hundred thousands digit of 4079077? Fix: 0 Example: What is the hundred thousands digit of 10172653? Fix: 1 Example: What is the units digit of 36937? Fix: 7 Example: What is the units digit of 237315? Fix: 5 Example: What is the hundreds digit of 1352? Fix: 3 Example: What is the hundreds digit of 1100892504? Fix: 5 Example: What is the ten millions digit of 4872818853? Fix: 7 Example: What is the ten thousands digit of 80694? Fix: 8 Example: What is the hundred thousands digit of 2044920? Fix: 0 Example: What is the ten millions digit of 814090302? Fix: 1 Example: What is the ten millions digit of 452450398? Fix: 5 Example: What is the hundred thousands digit of 110927? Fix: 1 Example: What is the thousands digit of 5791485
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measurement: conversion ----------------------- Example: How many decades are there in three fifths of a century? Solution: 6 Example: What is 18/5 of a millennium in decades? Solution: 360 Example: Convert 1101.188 meters to kilometers. Solution: 1.101188 Example: How many litres are there in 695.3729ml? Solution: 0.6953729 Example: Convert 240.724 nanograms to grams. Solution: 0.000000240724 Example: What is 13/5 of a tonne in kilograms? Solution: 2600 Example: How many kilograms are there in eleven tenths of a tonne? Solution: 1100 Example: What is 5.917808 years in months? Solution: 71.013696 Example: Convert 0.6041212 centimeters to meters. Solution: 0.006041212 Example: What is seven quarters of a millennium in years? Solution: 1750 Example: How many minutes are there in 9.549441 weeks? Solution: 96258.36528 Example: How many litres are there in 5.701866 millilitres? Solution: 0.005701866 Example: What is 6/5 of a litre in millilitres? Solution: 1200 Example: Convert 204331.6cm to nanometers. Solution: 2043316000000 Example: What is 8/25 of a kilometer in centimeters? Solution: 32000 Example: What is 51/4 of a litre in millilitres? Solution: 12750 Example: What is 3/50 of a millimeter in nanometers? Solution: 60000 Example: How many millilitres are there in 7/8 of a litre? Solution: 875 Example: What is 0.4194351 decades in millennia? Solution: 0.004194351 Example: What is 0.610219 minutes in nanoseconds? Solution: 36613140000 Example: How many tonnes are there in 5.754372 grams? Solution: 0.000005754372 Example: How many millennia are there in 36229.5 decades? Solution: 362.295 Example: How many microseconds are there in five eighths of a millisecond? Solution: 625 Example: What is 379.7897 weeks in nanoseconds? Solution: 229696810560000000 Example: How many litres are there in 76262.5 millilitres? Solution: 76.2625 Example: What is three fifths of a centimeter in millimeters? Solution: 6 Example: What is 13/8 of a litre in millilitres? Solution: 1625 Example
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numbers: is prime ----------------- Q: Is 2084867 composite? Outcome: True Q: Is 671113477 composite? Outcome: False Q: Is 3379 prime? Outcome: False Q: Is 58336591061 a prime number? Outcome: False Q: Is 63815 composite? Outcome: True Q: Is 16194923 a composite number? Outcome: False Q: Is 16418 composite? Outcome: True Q: Is 114243769 composite? Outcome: True Q: Is 13275663 a composite number? Outcome: True Q: Is 251 composite? Outcome: False Q: Is 21059 a prime number? Outcome: True Q: Is 6654887 composite? Outcome: False Q: Is 29825741 a composite number? Outcome: True Q: Is 45459221 a composite number? Outcome: False Q: Is 1852306583 composite? Outcome: False Q: Is 1279 a prime number? Outcome: True Q: Is 5823371 composite? Outcome: True Q: Is 187597 a composite number? Outcome: False Q: Is 45411428611 a prime number? Outcome: False Q: Is 104927 a composite number? Outcome: True Q: Is 42141103 a composite number? Outcome: False Q: Is 369319 a composite number? Outcome: False Q: Is 212837 composite? Outcome: False Q: Is 221272861 composite? Outcome: False Q: Is 678683 composite? Outcome: True Q: Is 10519627 composite? Outcome: True Q: Is 8218631 prime? Outcome: False Q: Is 8368489057 prime? Outcome: True Q: Is 869434 a prime number? Outcome: False Q: Is 35264987 composite? Outcome: True Q: Is 585779 a prime number? Outcome: True Q: Is 19183949 a prime number? Outcome: True Q: Is 11115847331 a composite number? Outcome: True Q: Is 17131187 prime? Outcome: True Q: Is 1312513 a prime number? Outcome: True Q: Is 286021679 composite? Outcome: False Q: Is 751955983 prime? Outcome: True Q: Is 141529 a prime number? Outcome: True Q: Is 10385831 a composite number? Outcome: False Q: Is 19297 composite? Outcome: True Q: Is 5808347207 composite? Outcome: True Q: Is 6255156469 a composite number? Outcome: True Q: Is 57781 composite? Outcome: False Q: Is 78137 a composite number? Outcome: False Q: Is 2219 prime? Outcome: False Q: Is 874561 prime? Outcome: False Q: Is 308059
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numbers: div remainder ---------------------- Q-: Calculate the remainder when 20350 is divided by 2542. Answer: 14 Q-: What is the remainder when 71018 is divided by 23628? Answer: 134 Q-: Calculate the remainder when 632 is divided by 49. Answer: 44 Q-: Calculate the remainder when 604 is divided by 38. Answer: 34 Q-: Calculate the remainder when 4268 is divided by 286. Answer: 264 Q-: What is the remainder when 4948 is divided by 107? Answer: 26 Q-: What is the remainder when 7071 is divided by 34? Answer: 33 Q-: What is the remainder when 6283160 is divided by 1306? Answer: 1300 Q-: Calculate the remainder when 232 is divided by 61. Answer: 49 Q-: What is the remainder when 513429 is divided by 946? Answer: 697 Q-: What is the remainder when 34954 is divided by 5818? Answer: 46 Q-: Calculate the remainder when 4650035 is divided by 206. Answer: 203 Q-: What is the remainder when 36209881 is divided by 210? Answer: 1 Q-: What is the remainder when 6877749 is divided by 844? Answer: 837 Q-: What is the remainder when 2775198 is divided by 1387573? Answer: 52 Q-: Calculate the remainder when 1971059 is divided by 665. Answer: 664 Q-: Calculate the remainder when 60989 is divided by 20313. Answer: 50 Q-: Calculate the remainder when 647 is divided by 10. Answer: 7 Q-: What is the remainder when 3568 is divided by 22? Answer: 4 Q-: Calculate the remainder when 30874 is divided by 219. Answer: 214 Q-: What is the remainder when 7310 is divided by 722? Answer: 90 Q-: Calculate the remainder when 562 is divided by 51. Answer: 1 Q-: What is the remainder when 176 is divided by 120? Answer: 56 Q-: What is the remainder when 490261 is divided by 2554? Answer: 2447 Q-: What is the remainder when 806 is divided by 61? Answer: 13 Q-: Calculate the remainder when 11584952 is divided by 3706. Answer: 3702 Q-: What is the remainder when 9220 is divided by 99? Answer: 13 Q-: What is the remainder when 1178 is divided by 10? Answer: 8 Q-: What is the remainder when 154 is divided
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measurement: conversion ----------------------- Math Problem: What is 8.383642 nanometers in kilometers? Ans: 0.000000000008383642 Math Problem: How many days are there in 584.20845 seconds? Ans: 0.006761671875 Math Problem: How many nanometers are there in 25/4 of a micrometer? Ans: 6250 Math Problem: Convert 79738.68ml to litres. Ans: 79.73868 Math Problem: What is 785267.9 tonnes in grams? Ans: 785267900000 Math Problem: What is 3/40 of a tonne in grams? Ans: 75000 Math Problem: How many tonnes are there in 16291.46 nanograms? Ans: 0.00000000001629146 Math Problem: How many litres are there in 8832.503 millilitres? Ans: 8.832503 Math Problem: How many minutes are there in seventeen halves of a week? Ans: 85680 Math Problem: What is 95.36712ns in seconds? Ans: 0.00000009536712 Math Problem: Convert 7.991169 litres to millilitres. Ans: 7991.169 Math Problem: How many seconds are there in 31/2 of a minute? Ans: 930 Math Problem: How many millilitres are there in fourty-one halves of a litre? Ans: 20500 Math Problem: How many micrograms are there in 5/4 of a milligram? Ans: 1250 Math Problem: How many kilograms are there in 367.477ug? Ans: 0.000000367477 Math Problem: What is 329577.8g in micrograms? Ans: 329577800000 Math Problem: How many decades are there in 19.47187 centuries? Ans: 194.7187 Math Problem: What is 31/5 of a litre in millilitres? Ans: 6200 Math Problem: How many centimeters are there in twenty-seven fifths of a meter? Ans: 540 Math Problem: What is 429.4755cm in kilometers? Ans: 0.004294755 Math Problem: What is 7/2 of a litre in millilitres? Ans: 3500 Math Problem: How many minutes are there in 1916.862 weeks? Ans: 19321968.96 Math Problem: Convert 235290.3km to micrometers. Ans: 235290300000000 Math Problem: How many litres are there in 0.6062493 millilitres? Ans: 0.0006062493 Math Problem: What is 51/2 of a tonne in kilograms? Ans: 25500 Math Problem: How many kilograms are there in 0.9327069 milligrams? Ans: 0.0000009327069 Math Problem: How man
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probability: swr p level set ---------------------------- Ask: Calculate prob of picking 4 t when four letters picked without replacement from tutttututtuptpup. Solution: 1/26 Ask: What is prob of picking 2 w and 1 u when three letters picked without replacement from qwuwu? Solution: 1/5 Ask: Two letters picked without replacement from qslqxxllqgqlqxlgqxqs. Give prob of picking 1 g and 1 q. Solution: 7/95 Ask: Calculate prob of picking 3 p when three letters picked without replacement from {p: 2, m: 2}. Solution: 0 Ask: Calculate prob of picking 1 t, 1 a, and 2 m when four letters picked without replacement from {m: 5, a: 2, t: 7}. Solution: 20/143 Ask: What is prob of picking 1 d and 1 i when two letters picked without replacement from dddiqidiiid? Solution: 5/11 Ask: Three letters picked without replacement from {d: 4, p: 8, h: 4, g: 4}. Give prob of picking 1 d, 1 p, and 1 h. Solution: 32/285 Ask: Two letters picked without replacement from araa. What is prob of picking 1 r and 1 a? Solution: 1/2 Ask: Four letters picked without replacement from {o: 5, y: 8}. What is prob of picking 2 o and 2 y? Solution: 56/143 Ask: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, x: 11}. Solution: 1/78 Ask: Three letters picked without replacement from fofofofoofopo. What is prob of picking 2 o and 1 f? Solution: 105/286 Ask: What is prob of picking 1 w and 2 f when three letters picked without replacement from frrrrffqfrrfwfrfw? Solution: 21/340 Ask: Three letters picked without replacement from qqqqqq. What is prob of picking 3 q? Solution: 1 Ask: Two letters picked without replacement from srssrsrlgsgs. What is prob of picking 1 g and 1 s? Solution: 2/11 Ask: What is prob of picking 1 a and 1 m when two letters picked without replacement from agmaaamxa? Solution: 5/18 Ask: Two letters picked without replacement from nnnnnnncnnnnnnnnnn. What is prob of picking 2 c? Solution: 0 Ask: Calculate prob of picking 1 c and 2 v when three letters p
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arithmetic: nearest integer root -------------------------------- Part A: What is 14404 to the power of 1/3, to the nearest integer? Sol: 24 Part A: What is 4060 to the power of 1/9, to the nearest integer? Sol: 3 Part A: What is the square root of 4695355336 to the nearest integer? Sol: 68523 Part A: What is 32745 to the power of 1/8, to the nearest integer? Sol: 4 Part A: What is the square root of 61628927 to the nearest integer? Sol: 7850 Part A: What is 669 to the power of 1/4, to the nearest integer? Sol: 5 Part A: What is 1282966 to the power of 1/2, to the nearest integer? Sol: 1133 Part A: What is the square root of 323298 to the nearest integer? Sol: 569 Part A: What is the square root of 218044270 to the nearest integer? Sol: 14766 Part A: What is 2619790589 to the power of 1/2, to the nearest integer? Sol: 51184 Part A: What is 1294267444 to the power of 1/3, to the nearest integer? Sol: 1090 Part A: What is 4834592 to the power of 1/3, to the nearest integer? Sol: 169 Part A: What is the fourth root of 3592845 to the nearest integer? Sol: 44 Part A: What is 5927470 to the power of 1/2, to the nearest integer? Sol: 2435 Part A: What is 1821039 to the power of 1/3, to the nearest integer? Sol: 122 Part A: What is the cube root of 11466529 to the nearest integer? Sol: 225 Part A: What is the square root of 29515875 to the nearest integer? Sol: 5433 Part A: What is 71471 to the power of 1/2, to the nearest integer? Sol: 267 Part A: What is the square root of 3340155 to the nearest integer? Sol: 1828 Part A: What is the cube root of 1253467 to the nearest integer? Sol: 108 Part A: What is 1330150725 to the power of 1/8, to the nearest integer? Sol: 14 Part A: What is the fourth root of 933664089 to the nearest integer? Sol: 175 Part A: What is the third root of 300312 to the nearest integer? Sol: 67 Part A: What is the square root of 6072616068 to the nearest integer? Sol: 77927 Part A: What is the square root of 277 to the nearest integer? Sol: 17 Part A: W
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numbers: gcd ------------ Case: Calculate the highest common divisor of 713 and 93. Resolution: 31 Case: Calculate the greatest common factor of 376 and 188. Resolution: 188 Case: Calculate the greatest common factor of 3102 and 872696. Resolution: 1034 Case: Calculate the highest common factor of 898 and 54. Resolution: 2 Case: What is the greatest common factor of 138 and 47296671? Resolution: 69 Case: What is the greatest common factor of 597069 and 2664? Resolution: 333 Case: Calculate the greatest common divisor of 285 and 180. Resolution: 15 Case: What is the greatest common factor of 5436354 and 33? Resolution: 33 Case: Calculate the greatest common factor of 2 and 502. Resolution: 2 Case: Calculate the highest common divisor of 88 and 1188. Resolution: 44 Case: What is the greatest common divisor of 53008540 and 3380? Resolution: 3380 Case: What is the highest common factor of 10 and 1400? Resolution: 10 Case: Calculate the highest common divisor of 99 and 2070. Resolution: 9 Case: Calculate the greatest common factor of 7371 and 81. Resolution: 81 Case: What is the greatest common factor of 54 and 77382? Resolution: 54 Case: Calculate the highest common factor of 4641 and 273. Resolution: 273 Case: What is the highest common divisor of 34144 and 1693120? Resolution: 352 Case: Calculate the highest common divisor of 70 and 1260. Resolution: 70 Case: Calculate the greatest common divisor of 306 and 8101818. Resolution: 18 Case: What is the greatest common divisor of 24 and 78? Resolution: 6 Case: What is the highest common factor of 201816 and 108? Resolution: 36 Case: Calculate the greatest common factor of 784 and 16. Resolution: 16 Case: What is the greatest common factor of 957 and 429? Resolution: 33 Case: Calculate the greatest common factor of 2397948 and 84. Resolution: 84 Case: What is the highest common factor of 141911 and 3212737? Resolution: 1067 Case: What is the greatest common divisor of 25134 and 781? Resolution: 71 Case: Calculate the highes
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measurement: time ----------------- Test item: How many minutes are there between 5:33 AM and 12:14 PM? Response: 401 Test item: What is 556 minutes after 8:05 PM? Response: 5:21 AM Test item: How many minutes are there between 4:43 AM and 2:40 PM? Response: 597 Test item: What is 517 minutes after 2:32 PM? Response: 11:09 PM Test item: What is 12 minutes before 11:54 PM? Response: 11:42 PM Test item: How many minutes are there between 3:01 AM and 3:40 AM? Response: 39 Test item: How many minutes are there between 9:50 AM and 7:08 PM? Response: 558 Test item: What is 366 minutes after 3:43 PM? Response: 9:49 PM Test item: What is 155 minutes before 9:27 AM? Response: 6:52 AM Test item: How many minutes are there between 1:26 PM and 5:22 PM? Response: 236 Test item: What is 110 minutes before 6:18 AM? Response: 4:28 AM Test item: How many minutes are there between 6:53 PM and 6:39 AM? Response: 706 Test item: What is 616 minutes before 2:16 AM? Response: 4:00 PM Test item: How many minutes are there between 11:36 PM and 5:07 AM? Response: 331 Test item: How many minutes are there between 7:41 PM and 8:57 PM? Response: 76 Test item: What is 400 minutes before 3:52 AM? Response: 9:12 PM Test item: What is 204 minutes before 12:58 AM? Response: 9:34 PM Test item: How many minutes are there between 4:11 AM and 11:23 AM? Response: 432 Test item: What is 145 minutes after 10:22 AM? Response: 12:47 PM Test item: How many minutes are there between 1:01 PM and 12:40 AM? Response: 699 Test item: How many minutes are there between 3:08 PM and 2:26 AM? Response: 678 Test item: How many minutes are there between 12:48 PM and 8:48 PM? Response: 480 Test item: How many minutes are there between 5:15 AM and 7:31 AM? Response: 136 Test item: What is 240 minutes after 3:50 AM? Response: 7:50 AM Test item: What is 115 minutes after 12:27 AM? Response: 2:22 AM Test item: How many minutes are there between 2:13 PM and 9:46 PM? Response: 453 Test item: What is 231 minutes before 9:01 PM?
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numbers: is prime ----------------- Q/A: Is 5209 a prime number? Therefore: True Q/A: Is 2026697 prime? Therefore: True Q/A: Is 16514229 a prime number? Therefore: False Q/A: Is 3449 composite? Therefore: False Q/A: Is 72193423 a composite number? Therefore: True Q/A: Is 1015877935 composite? Therefore: True Q/A: Is 1354714 a composite number? Therefore: True Q/A: Is 45718 prime? Therefore: False Q/A: Is 45417884255 composite? Therefore: True Q/A: Is 7642669 composite? Therefore: False Q/A: Is 3233215 composite? Therefore: True Q/A: Is 3096657229 a prime number? Therefore: True Q/A: Is 87039290669 a composite number? Therefore: False Q/A: Is 197377717 prime? Therefore: True Q/A: Is 181603 composite? Therefore: False Q/A: Is 2810239771 composite? Therefore: False Q/A: Is 12118648771 a composite number? Therefore: False Q/A: Is 86753 prime? Therefore: True Q/A: Is 94809263 a composite number? Therefore: True Q/A: Is 3526771 composite? Therefore: False Q/A: Is 346627 prime? Therefore: True Q/A: Is 19589 a composite number? Therefore: True Q/A: Is 44351 prime? Therefore: True Q/A: Is 147236317 a composite number? Therefore: True Q/A: Is 276809591 a composite number? Therefore: False Q/A: Is 2622350527 prime? Therefore: True Q/A: Is 10453 prime? Therefore: True Q/A: Is 5282323 a composite number? Therefore: True Q/A: Is 239923 composite? Therefore: True Q/A: Is 1140281 a prime number? Therefore: True Q/A: Is 7298509 a composite number? Therefore: True Q/A: Is 333313 a composite number? Therefore: True Q/A: Is 38527 a composite number? Therefore: True Q/A: Is 97919 prime? Therefore: True Q/A: Is 11580493 composite? Therefore: False Q/A: Is 733687 prime? Therefore: True Q/A: Is 33277495159 a prime number? Therefore: True Q/A: Is 11677 prime? Therefore: True Q/A: Is 16439 a prime number? Therefore: False Q/A: Is 63113 a prime number? Therefore: True Q/A: Is 303723443 a prime number? Therefore: False Q/A: Is 55222813 a prime number? Therefore: False Q/A: Is 14897 a prime num
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probability: swr p level set ---------------------------- Q-: Four letters picked without replacement from {b: 1, i: 1, e: 2, l: 9, v: 5}. Give prob of picking 2 i and 2 l. Calculation: 0 Q-: Four letters picked without replacement from wwtwtww. Give prob of picking 3 w and 1 t. Calculation: 4/7 Q-: What is prob of picking 1 q, 1 v, and 2 l when four letters picked without replacement from {v: 1, u: 9, q: 1, l: 2}? Calculation: 1/715 Q-: Two letters picked without replacement from qayqqqakqkjqzqqaqy. What is prob of picking 2 k? Calculation: 1/153 Q-: Calculate prob of picking 2 p and 1 v when three letters picked without replacement from vpzvppzzppzppz. Calculation: 3/26 Q-: What is prob of picking 1 e and 1 w when two letters picked without replacement from {r: 1, n: 3, e: 2, o: 3, w: 3, b: 2}? Calculation: 6/91 Q-: Two letters picked without replacement from jyyvyvyvy. Give prob of picking 1 v and 1 j. Calculation: 1/12 Q-: What is prob of picking 1 b and 2 a when three letters picked without replacement from {b: 6, c: 2, q: 2, a: 3, k: 2}? Calculation: 18/455 Q-: What is prob of picking 2 j when two letters picked without replacement from jaja? Calculation: 1/6 Q-: What is prob of picking 1 v and 2 w when three letters picked without replacement from {v: 1, w: 11}? Calculation: 1/4 Q-: Calculate prob of picking 1 b, 1 n, 1 e, and 1 q when four letters picked without replacement from ewbqkkn. Calculation: 1/35 Q-: Three letters picked without replacement from vhvehaceecchcaheiee. What is prob of picking 1 i, 1 h, and 1 a? Calculation: 8/969 Q-: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {f: 1, s: 6, k: 3, t: 2}. Calculation: 3/11 Q-: Four letters picked without replacement from kpppkkwkwkkpwwkpkwpp. What is prob of picking 4 p? Calculation: 7/969 Q-: What is prob of picking 1 f and 2 j when three letters picked without replacement from fjiffffffjffiffjffi? Calculation: 13/323 Q-: Two letters picked without replacement f
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numbers: place value -------------------- Prompt: What is the hundreds digit of 334? Workthrough: 3 Prompt: What is the hundreds digit of 518143593? Workthrough: 5 Prompt: What is the tens digit of 61091? Workthrough: 9 Prompt: What is the units digit of 1298529705? Workthrough: 5 Prompt: What is the tens digit of 19887? Workthrough: 8 Prompt: What is the thousands digit of 9621? Workthrough: 9 Prompt: What is the units digit of 704? Workthrough: 4 Prompt: What is the tens digit of 22464? Workthrough: 6 Prompt: What is the units digit of 1335454? Workthrough: 4 Prompt: What is the hundreds digit of 655? Workthrough: 6 Prompt: What is the hundred thousands digit of 2587147547? Workthrough: 1 Prompt: What is the hundreds digit of 23198? Workthrough: 1 Prompt: What is the thousands digit of 38164541? Workthrough: 4 Prompt: What is the tens digit of 1142661? Workthrough: 6 Prompt: What is the hundreds digit of 65159? Workthrough: 1 Prompt: What is the thousands digit of 13500032? Workthrough: 0 Prompt: What is the units digit of 2772? Workthrough: 2 Prompt: What is the units digit of 515989? Workthrough: 9 Prompt: What is the ten millions digit of 1623848602? Workthrough: 2 Prompt: What is the hundreds digit of 47807? Workthrough: 8 Prompt: What is the units digit of 217723? Workthrough: 3 Prompt: What is the hundreds digit of 191484? Workthrough: 4 Prompt: What is the tens digit of 2818? Workthrough: 1 Prompt: What is the thousands digit of 28571474? Workthrough: 1 Prompt: What is the units digit of 448? Workthrough: 8 Prompt: What is the units digit of 33867? Workthrough: 7 Prompt: What is the thousands digit of 108669084? Workthrough: 9 Prompt: What is the hundred thousands digit of 129661? Workthrough: 1 Prompt: What is the hundred thousands digit of 32134812? Workthrough: 1 Prompt: What is the units digit of 58587568? Workthrough: 8 Prompt: What is the thousands digit of 309427? Workthrough: 9 Prompt: What is the hundreds digit of 7043? Workthrough: 0 Prompt: What
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probability: swr p level set ---------------------------- Problem: Four letters picked without replacement from {j: 5, w: 3}. Give prob of picking 3 j and 1 w. Derivation: 3/7 Problem: Four letters picked without replacement from {y: 3, l: 1, n: 2, v: 5, i: 3, w: 1}. What is prob of picking 2 v, 1 n, and 1 l? Derivation: 4/273 Problem: What is prob of picking 3 k when three letters picked without replacement from {y: 1, k: 3, v: 1}? Derivation: 1/10 Problem: Four letters picked without replacement from rbbff. Give prob of picking 1 r, 2 f, and 1 b. Derivation: 2/5 Problem: Two letters picked without replacement from {s: 10, y: 2, a: 4}. What is prob of picking 1 a and 1 s? Derivation: 1/3 Problem: Three letters picked without replacement from nbuzl. Give prob of picking 1 u, 1 z, and 1 n. Derivation: 1/10 Problem: Calculate prob of picking 2 t and 1 c when three letters picked without replacement from tttrctrrcrtrrrr. Derivation: 4/91 Problem: What is prob of picking 1 r and 2 a when three letters picked without replacement from rarccrcacaaccarcaaca? Derivation: 28/285 Problem: Four letters picked without replacement from ulllullllllllullllll. Give prob of picking 3 u and 1 l. Derivation: 1/285 Problem: Calculate prob of picking 1 b, 2 t, and 1 v when four letters picked without replacement from vtwwbwbbbwtwtvvv. Derivation: 12/455 Problem: Calculate prob of picking 2 t when two letters picked without replacement from ttetttttttetetteet. Derivation: 26/51 Problem: Four letters picked without replacement from {z: 7, i: 4}. What is prob of picking 2 i and 2 z? Derivation: 21/55 Problem: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from iiiiiqii. Derivation: 1/4 Problem: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {y: 5, w: 1, a: 1, s: 1, b: 3}. Derivation: 3/55 Problem: Calculate prob of picking 1 b, 1 u, and 2 n when four letters picked without replacement from {n: 8, b: 1, j: 1, z: 1, u:
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numbers: is prime ----------------- Prompt: Is 13441 prime? Finding: True Prompt: Is 2136356897 a prime number? Finding: True Prompt: Is 26337191 prime? Finding: False Prompt: Is 1572115 a prime number? Finding: False Prompt: Is 208801 a composite number? Finding: True Prompt: Is 72659069257 prime? Finding: False Prompt: Is 81391 prime? Finding: False Prompt: Is 376886 prime? Finding: False Prompt: Is 10512157 prime? Finding: True Prompt: Is 83074571 a prime number? Finding: True Prompt: Is 48181 composite? Finding: True Prompt: Is 3659 a prime number? Finding: True Prompt: Is 24913 composite? Finding: True Prompt: Is 158278243 composite? Finding: True Prompt: Is 27564023 composite? Finding: True Prompt: Is 9103 prime? Finding: True Prompt: Is 44819 a composite number? Finding: False Prompt: Is 950583343 prime? Finding: False Prompt: Is 39541 a composite number? Finding: False Prompt: Is 10844281111 composite? Finding: True Prompt: Is 1626149 a composite number? Finding: True Prompt: Is 8490149 a composite number? Finding: True Prompt: Is 436909 prime? Finding: False Prompt: Is 46857 composite? Finding: True Prompt: Is 2115961 a prime number? Finding: True Prompt: Is 36433 a composite number? Finding: False Prompt: Is 6566033 prime? Finding: True Prompt: Is 116221 a prime number? Finding: False Prompt: Is 29741 a composite number? Finding: False Prompt: Is 121809603707 a prime number? Finding: False Prompt: Is 289937 composite? Finding: False Prompt: Is 231675239 a composite number? Finding: True Prompt: Is 175543 composite? Finding: False Prompt: Is 387577 a composite number? Finding: False Prompt: Is 91066 a composite number? Finding: True Prompt: Is 370594051 prime? Finding: False Prompt: Is 18242399671 a prime number? Finding: True Prompt: Is 3011 a composite number? Finding: False Prompt: Is 13599736919 a composite number? Finding: False Prompt: Is 4292893 composite? Finding: True Prompt: Is 103484837 a composite number? Finding: False Prompt: Is 1276624793 com
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numbers: div remainder ---------------------- Subquestion: What is the remainder when 70556 is divided by 2432? Clarification: 28 Subquestion: Calculate the remainder when 604835 is divided by 43. Clarification: 40 Subquestion: Calculate the remainder when 1166 is divided by 94. Clarification: 38 Subquestion: What is the remainder when 9590 is divided by 436? Clarification: 434 Subquestion: What is the remainder when 439087 is divided by 14162? Clarification: 65 Subquestion: What is the remainder when 9021 is divided by 11? Clarification: 1 Subquestion: Calculate the remainder when 86 is divided by 6. Clarification: 2 Subquestion: What is the remainder when 78 is divided by 22? Clarification: 12 Subquestion: What is the remainder when 88816 is divided by 9868? Clarification: 4 Subquestion: Calculate the remainder when 37140635 is divided by 232. Clarification: 219 Subquestion: What is the remainder when 2859 is divided by 20? Clarification: 19 Subquestion: What is the remainder when 5321 is divided by 1326? Clarification: 17 Subquestion: Calculate the remainder when 6993842 is divided by 10517. Clarification: 37 Subquestion: Calculate the remainder when 292 is divided by 21. Clarification: 19 Subquestion: What is the remainder when 898 is divided by 15? Clarification: 13 Subquestion: Calculate the remainder when 173298 is divided by 28881. Clarification: 12 Subquestion: What is the remainder when 7005 is divided by 146? Clarification: 143 Subquestion: Calculate the remainder when 2953488 is divided by 2088. Clarification: 1056 Subquestion: What is the remainder when 131718 is divided by 23? Clarification: 20 Subquestion: Calculate the remainder when 48363 is divided by 3208. Clarification: 243 Subquestion: What is the remainder when 2862141 is divided by 72? Clarification: 69 Subquestion: Calculate the remainder when 226 is divided by 95. Clarification: 36 Subquestion: Calculate the remainder when 80144291 is divided by 3053. Clarification: 3041 Subquestion: What is
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numbers: place value -------------------- Q): What is the tens digit of 3446? Hence: 4 Q): What is the thousands digit of 235459012? Hence: 9 Q): What is the thousands digit of 1019609? Hence: 9 Q): What is the units digit of 3833? Hence: 3 Q): What is the thousands digit of 233499332? Hence: 9 Q): What is the units digit of 39436? Hence: 6 Q): What is the tens digit of 4155? Hence: 5 Q): What is the tens digit of 655? Hence: 5 Q): What is the units digit of 316446385? Hence: 5 Q): What is the tens digit of 202926? Hence: 2 Q): What is the thousands digit of 1223? Hence: 1 Q): What is the units digit of 6345601620? Hence: 0 Q): What is the tens digit of 6068? Hence: 6 Q): What is the hundreds digit of 78595? Hence: 5 Q): What is the thousands digit of 8147? Hence: 8 Q): What is the hundreds digit of 19815600? Hence: 6 Q): What is the units digit of 1590789326? Hence: 6 Q): What is the ten millions digit of 106921067? Hence: 0 Q): What is the thousands digit of 50750? Hence: 0 Q): What is the hundred thousands digit of 12134142? Hence: 1 Q): What is the hundred thousands digit of 45855187? Hence: 8 Q): What is the ten thousands digit of 341664? Hence: 4 Q): What is the hundreds digit of 2102? Hence: 1 Q): What is the hundreds digit of 130719701? Hence: 7 Q): What is the ten millions digit of 30581459? Hence: 3 Q): What is the hundreds digit of 1111? Hence: 1 Q): What is the tens digit of 1715855? Hence: 5 Q): What is the thousands digit of 5281? Hence: 5 Q): What is the hundred millions digit of 185375762? Hence: 1 Q): What is the thousands digit of 5397022? Hence: 7 Q): What is the tens digit of 1128? Hence: 2 Q): What is the tens digit of 66776114? Hence: 1 Q): What is the ten thousands digit of 105526194? Hence: 2 Q): What is the hundred millions digit of 589565984? Hence: 5 Q): What is the units digit of 224085? Hence: 5 Q): What is the ten thousands digit of 14700? Hence: 1 Q): What is the tens digit of 25246? Hence: 4 Q): What is the millions digit of 389256887
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measurement: time ----------------- Ask: How many minutes are there between 11:14 AM and 8:38 PM? Steps: 564 Ask: What is 318 minutes after 9:21 PM? Steps: 2:39 AM Ask: How many minutes are there between 6:11 AM and 9:22 AM? Steps: 191 Ask: What is 385 minutes after 4:50 PM? Steps: 11:15 PM Ask: How many minutes are there between 12:56 PM and 6:56 PM? Steps: 360 Ask: How many minutes are there between 1:19 AM and 6:11 AM? Steps: 292 Ask: What is 457 minutes after 2:21 PM? Steps: 9:58 PM Ask: What is 388 minutes before 6:11 AM? Steps: 11:43 PM Ask: How many minutes are there between 12:08 AM and 12:03 PM? Steps: 715 Ask: How many minutes are there between 1:05 PM and 9:30 PM? Steps: 505 Ask: What is 42 minutes before 2:09 AM? Steps: 1:27 AM Ask: How many minutes are there between 10:13 AM and 4:55 PM? Steps: 402 Ask: How many minutes are there between 8:37 PM and 5:56 AM? Steps: 559 Ask: What is 137 minutes before 1:08 AM? Steps: 10:51 PM Ask: What is 677 minutes after 5:04 AM? Steps: 4:21 PM Ask: How many minutes are there between 10:19 AM and 5:07 PM? Steps: 408 Ask: What is 610 minutes after 8:36 PM? Steps: 6:46 AM Ask: What is 327 minutes after 4:35 AM? Steps: 10:02 AM Ask: How many minutes are there between 2:28 PM and 4:45 PM? Steps: 137 Ask: How many minutes are there between 4:54 AM and 6:38 AM? Steps: 104 Ask: What is 82 minutes after 12:32 PM? Steps: 1:54 PM Ask: What is 310 minutes after 11:04 PM? Steps: 4:14 AM Ask: How many minutes are there between 5:48 PM and 12:58 AM? Steps: 430 Ask: How many minutes are there between 11:36 PM and 6:30 AM? Steps: 414 Ask: What is 309 minutes after 7:06 PM? Steps: 12:15 AM Ask: What is 10 minutes after 4:24 AM? Steps: 4:34 AM Ask: What is 467 minutes before 1:06 AM? Steps: 5:19 PM Ask: How many minutes are there between 4:08 AM and 4:14 AM? Steps: 6 Ask: What is 295 minutes after 3:07 PM? Steps: 8:02 PM Ask: How many minutes are there between 4:49 AM and 10:44 AM? Steps: 355 Ask: What is 253 minutes before 1:10 AM? Ste
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numbers: place value -------------------- Statement: What is the millions digit of 697894076? Eval: 7 Statement: What is the thousands digit of 4612? Eval: 4 Statement: What is the thousands digit of 141526? Eval: 1 Statement: What is the hundred thousands digit of 129675165? Eval: 6 Statement: What is the ten thousands digit of 33265906? Eval: 6 Statement: What is the units digit of 6112004? Eval: 4 Statement: What is the thousands digit of 1925? Eval: 1 Statement: What is the thousands digit of 7559? Eval: 7 Statement: What is the units digit of 120270771? Eval: 1 Statement: What is the hundreds digit of 1032? Eval: 0 Statement: What is the units digit of 551? Eval: 1 Statement: What is the units digit of 104753? Eval: 3 Statement: What is the ten thousands digit of 69446? Eval: 6 Statement: What is the thousands digit of 769085? Eval: 9 Statement: What is the tens digit of 7397? Eval: 9 Statement: What is the tens digit of 4411? Eval: 1 Statement: What is the units digit of 167? Eval: 7 Statement: What is the units digit of 45074? Eval: 4 Statement: What is the ten thousands digit of 90053? Eval: 9 Statement: What is the thousands digit of 7056? Eval: 7 Statement: What is the ten thousands digit of 540866? Eval: 4 Statement: What is the ten thousands digit of 489632? Eval: 8 Statement: What is the thousands digit of 2359? Eval: 2 Statement: What is the millions digit of 8434645571? Eval: 4 Statement: What is the tens digit of 11099? Eval: 9 Statement: What is the hundreds digit of 716? Eval: 7 Statement: What is the units digit of 4371573? Eval: 3 Statement: What is the ten millions digit of 3329744988? Eval: 2 Statement: What is the billions digit of 2003511518? Eval: 2 Statement: What is the hundreds digit of 48269994? Eval: 9 Statement: What is the ten thousands digit of 351592411? Eval: 9 Statement: What is the hundred thousands digit of 160147? Eval: 1 Statement: What is the units digit of 12772? Eval: 2 Statement: What is the units digit of 279564? Eval: 4
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measurement: conversion ----------------------- Question: What is twenty-seven quarters of a litre in millilitres? Math A: 6750 Question: How many months are there in 3/40 of a decade? Math A: 9 Question: What is 3/25 of a day in seconds? Math A: 10368 Question: What is 43/2 of a century in years? Math A: 2150 Question: Convert 0.7941555ug to milligrams. Math A: 0.0007941555 Question: How many millilitres are there in 2424.858l? Math A: 2424858 Question: What is fifty-three fifths of a meter in centimeters? Math A: 1060 Question: How many millimeters are there in 15/4 of a meter? Math A: 3750 Question: What is 15/4 of a microgram in nanograms? Math A: 3750 Question: How many millilitres are there in 48/5 of a litre? Math A: 9600 Question: How many micrograms are there in 7005.935 tonnes? Math A: 7005935000000000 Question: What is nineteen quarters of a millisecond in microseconds? Math A: 4750 Question: What is twenty-seven fifths of a millennium in years? Math A: 5400 Question: Convert 3257.949nm to centimeters. Math A: 0.0003257949 Question: How many micrometers are there in 2079.182 millimeters? Math A: 2079182 Question: What is 0.1783157 milligrams in grams? Math A: 0.0001783157 Question: How many decades are there in 6/5 of a century? Math A: 12 Question: How many centuries are there in 4966.318 millennia? Math A: 49663.18 Question: What is 9/25 of a millimeter in micrometers? Math A: 360 Question: What is one tenth of a litre in millilitres? Math A: 100 Question: What is seven halves of a litre in millilitres? Math A: 3500 Question: What is twenty-seven quarters of a tonne in kilograms? Math A: 6750 Question: What is 32/5 of a litre in millilitres? Math A: 6400 Question: How many nanograms are there in one sixteenth of a milligram? Math A: 62500 Question: How many meters are there in 8.122386um? Math A: 0.000008122386 Question: Convert 677895.9mm to centimeters. Math A: 67789.59 Question: How many millilitres are there in 67/5 of a litre? Math A: 13400 Questio
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numbers: div remainder ---------------------- Task: What is the remainder when 460 is divided by 178? Eval: 104 Task: Calculate the remainder when 366667017 is divided by 2580. Eval: 2577 Task: Calculate the remainder when 376 is divided by 99. Eval: 79 Task: What is the remainder when 10550 is divided by 479? Eval: 12 Task: What is the remainder when 647565 is divided by 1595? Eval: 1590 Task: What is the remainder when 193274 is divided by 1728? Eval: 1466 Task: Calculate the remainder when 22720 is divided by 27. Eval: 13 Task: What is the remainder when 587704486 is divided by 3749? Eval: 3748 Task: Calculate the remainder when 313 is divided by 45. Eval: 43 Task: Calculate the remainder when 5706 is divided by 760. Eval: 386 Task: What is the remainder when 1545305 is divided by 743? Eval: 608 Task: What is the remainder when 288428 is divided by 58? Eval: 52 Task: What is the remainder when 57078 is divided by 11? Eval: 10 Task: What is the remainder when 7538 is divided by 350? Eval: 188 Task: What is the remainder when 796 is divided by 43? Eval: 22 Task: What is the remainder when 5507593 is divided by 1081? Eval: 979 Task: What is the remainder when 2301 is divided by 165? Eval: 156 Task: What is the remainder when 758 is divided by 438? Eval: 320 Task: Calculate the remainder when 118252 is divided by 8. Eval: 4 Task: Calculate the remainder when 219 is divided by 34. Eval: 15 Task: Calculate the remainder when 335 is divided by 68. Eval: 63 Task: Calculate the remainder when 262601 is divided by 415. Eval: 321 Task: Calculate the remainder when 674680 is divided by 154. Eval: 6 Task: What is the remainder when 21572 is divided by 7190? Eval: 2 Task: What is the remainder when 2054 is divided by 235? Eval: 174 Task: What is the remainder when 1020489 is divided by 9277? Eval: 19 Task: Calculate the remainder when 472 is divided by 25. Eval: 22 Task: What is the remainder when 162691 is divided by 415? Eval: 11 Task: Calculate the remainder when 586 is div
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numbers: gcd ------------ Exercise: Calculate the highest common factor of 177 and 6744. Interpretation: 3 Exercise: What is the highest common divisor of 42 and 2751? Interpretation: 21 Exercise: What is the highest common factor of 665118 and 109? Interpretation: 109 Exercise: Calculate the greatest common divisor of 2725 and 25. Interpretation: 25 Exercise: What is the greatest common divisor of 1508 and 7076? Interpretation: 116 Exercise: What is the highest common divisor of 75 and 210? Interpretation: 15 Exercise: What is the highest common factor of 190 and 304? Interpretation: 38 Exercise: What is the greatest common divisor of 4 and 52? Interpretation: 4 Exercise: What is the greatest common factor of 60 and 78? Interpretation: 6 Exercise: Calculate the greatest common divisor of 55070 and 176. Interpretation: 2 Exercise: What is the highest common divisor of 18431 and 6937? Interpretation: 7 Exercise: Calculate the highest common divisor of 900 and 5682. Interpretation: 6 Exercise: What is the highest common divisor of 3410 and 242? Interpretation: 22 Exercise: Calculate the highest common factor of 30464 and 6496. Interpretation: 224 Exercise: Calculate the greatest common divisor of 81 and 1. Interpretation: 1 Exercise: Calculate the highest common factor of 1388 and 16346476. Interpretation: 1388 Exercise: What is the highest common divisor of 90789 and 5274327? Interpretation: 1713 Exercise: What is the greatest common divisor of 271 and 5549809? Interpretation: 271 Exercise: What is the highest common factor of 1154 and 32653007? Interpretation: 577 Exercise: What is the greatest common factor of 2160 and 357360? Interpretation: 240 Exercise: Calculate the highest common divisor of 594184 and 59624. Interpretation: 2056 Exercise: What is the highest common factor of 17587 and 910843? Interpretation: 409 Exercise: Calculate the greatest common factor of 2159 and 34. Interpretation: 17 Exercise: Calculate the greatest common divisor of 10097 and 2782471
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numbers: gcd ------------ Case: What is the greatest common divisor of 256 and 17344? A: 64 Case: Calculate the highest common factor of 2698 and 324754. A: 142 Case: What is the greatest common divisor of 30 and 14745? A: 15 Case: Calculate the highest common divisor of 126357 and 309309. A: 231 Case: Calculate the highest common factor of 81152 and 25856. A: 256 Case: What is the highest common divisor of 429 and 264? A: 33 Case: Calculate the highest common divisor of 7585 and 4773483220. A: 7585 Case: What is the greatest common divisor of 205 and 123? A: 41 Case: What is the highest common divisor of 715 and 104? A: 13 Case: Calculate the highest common factor of 266 and 18494. A: 14 Case: Calculate the greatest common factor of 15386 and 23236. A: 314 Case: What is the highest common divisor of 19 and 363413? A: 19 Case: Calculate the highest common factor of 13365165 and 165. A: 165 Case: What is the highest common divisor of 1613516 and 908? A: 908 Case: Calculate the highest common divisor of 306 and 29580. A: 102 Case: What is the highest common divisor of 518 and 42? A: 14 Case: What is the greatest common divisor of 2814 and 15446850? A: 402 Case: Calculate the highest common divisor of 33371 and 755. A: 151 Case: Calculate the highest common divisor of 890 and 979. A: 89 Case: Calculate the greatest common divisor of 63245 and 2184. A: 91 Case: Calculate the greatest common factor of 47648 and 152. A: 8 Case: What is the greatest common factor of 860 and 97782? A: 86 Case: Calculate the greatest common factor of 90029728 and 736. A: 736 Case: What is the highest common divisor of 4571 and 224? A: 7 Case: Calculate the greatest common divisor of 37079 and 7. A: 7 Case: Calculate the greatest common factor of 6 and 235664412. A: 6 Case: Calculate the highest common divisor of 38446550 and 710. A: 10 Case: What is the greatest common factor of 10400 and 288? A: 32 Case: What is the highest common divisor of 165816 and 93492? A: 1764 Case: What is the great
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numbers: div remainder ---------------------- Q): What is the remainder when 77148 is divided by 501? Finding: 495 Q): What is the remainder when 21782817 is divided by 2008? Finding: 33 Q): What is the remainder when 2879 is divided by 67? Finding: 65 Q): Calculate the remainder when 170 is divided by 17. Finding: 0 Q): Calculate the remainder when 282 is divided by 134. Finding: 14 Q): Calculate the remainder when 268 is divided by 15. Finding: 13 Q): What is the remainder when 97926 is divided by 32633? Finding: 27 Q): What is the remainder when 55922045 is divided by 7988862? Finding: 11 Q): What is the remainder when 97 is divided by 39? Finding: 19 Q): Calculate the remainder when 8899 is divided by 8858. Finding: 41 Q): Calculate the remainder when 71067 is divided by 198. Finding: 183 Q): Calculate the remainder when 12987 is divided by 3056. Finding: 763 Q): What is the remainder when 1214 is divided by 94? Finding: 86 Q): What is the remainder when 114303331 is divided by 3518? Finding: 3511 Q): Calculate the remainder when 125 is divided by 13. Finding: 8 Q): Calculate the remainder when 358601 is divided by 51202. Finding: 187 Q): Calculate the remainder when 5232196 is divided by 348813. Finding: 1 Q): What is the remainder when 111690 is divided by 111605? Finding: 85 Q): Calculate the remainder when 67762212 is divided by 17955. Finding: 42 Q): Calculate the remainder when 160 is divided by 23. Finding: 22 Q): What is the remainder when 512285 is divided by 41? Finding: 31 Q): Calculate the remainder when 4429 is divided by 16. Finding: 13 Q): What is the remainder when 148922 is divided by 1295? Finding: 1292 Q): Calculate the remainder when 1035 is divided by 435. Finding: 165 Q): Calculate the remainder when 3123976 is divided by 4303. Finding: 4301 Q): What is the remainder when 205101 is divided by 98? Finding: 85 Q): Calculate the remainder when 321 is divided by 65. Finding: 61 Q): What is the remainder when 1682 is divided by 11? Finding: 10 Q
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numbers: place value -------------------- Q-: What is the tens digit of 2574? Math A: 7 Q-: What is the units digit of 16986139? Math A: 9 Q-: What is the hundreds digit of 315013? Math A: 0 Q-: What is the units digit of 4052? Math A: 2 Q-: What is the units digit of 9056319? Math A: 9 Q-: What is the units digit of 1142? Math A: 2 Q-: What is the hundred thousands digit of 202396? Math A: 2 Q-: What is the thousands digit of 1169433? Math A: 9 Q-: What is the hundreds digit of 695372012? Math A: 0 Q-: What is the tens digit of 33331103? Math A: 0 Q-: What is the hundred millions digit of 133051331? Math A: 1 Q-: What is the thousands digit of 1647438? Math A: 7 Q-: What is the hundreds digit of 26958494? Math A: 4 Q-: What is the ten thousands digit of 4743814? Math A: 4 Q-: What is the tens digit of 1633735? Math A: 3 Q-: What is the hundreds digit of 5568? Math A: 5 Q-: What is the hundred thousands digit of 3198255? Math A: 1 Q-: What is the thousands digit of 11375? Math A: 1 Q-: What is the hundreds digit of 32092? Math A: 0 Q-: What is the hundred thousands digit of 2221930458? Math A: 9 Q-: What is the tens digit of 20292? Math A: 9 Q-: What is the hundreds digit of 27206? Math A: 2 Q-: What is the thousands digit of 239745? Math A: 9 Q-: What is the ten thousands digit of 21301234? Math A: 0 Q-: What is the ten thousands digit of 37561240? Math A: 6 Q-: What is the hundreds digit of 17681? Math A: 6 Q-: What is the units digit of 2507174661? Math A: 1 Q-: What is the units digit of 200? Math A: 0 Q-: What is the thousands digit of 1086564? Math A: 6 Q-: What is the thousands digit of 16667? Math A: 6 Q-: What is the tens digit of 19064? Math A: 6 Q-: What is the units digit of 15882608? Math A: 8 Q-: What is the hundred millions digit of 1825704752? Math A: 8 Q-: What is the hundred thousands digit of 831519? Math A: 8 Q-: What is the thousands digit of 966145252? Math A: 5 Q-: What is the thousands digit of 87374? Math A: 7 Q-: What is the millions digit
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numbers: is prime ----------------- Example: Is 8563 prime? Solution: True Example: Is 5338565153 a composite number? Solution: False Example: Is 23143 a prime number? Solution: True Example: Is 299679277 a prime number? Solution: False Example: Is 25087 a prime number? Solution: True Example: Is 3034659413 composite? Solution: False Example: Is 5669 a composite number? Solution: False Example: Is 142913 prime? Solution: False Example: Is 791927251 a prime number? Solution: False Example: Is 350087 composite? Solution: False Example: Is 11107 a composite number? Solution: True Example: Is 365799899 a composite number? Solution: True Example: Is 2025791 composite? Solution: False Example: Is 749773 a prime number? Solution: True Example: Is 90961163 composite? Solution: False Example: Is 18390893 a composite number? Solution: True Example: Is 4427 a composite number? Solution: True Example: Is 720754087 a composite number? Solution: False Example: Is 5894803003 composite? Solution: True Example: Is 68813 a prime number? Solution: True Example: Is 11641 a composite number? Solution: True Example: Is 8191 a prime number? Solution: True Example: Is 4054831091 composite? Solution: True Example: Is 24079658221 composite? Solution: False Example: Is 523966683 composite? Solution: True Example: Is 929 a prime number? Solution: True Example: Is 69871 a composite number? Solution: True Example: Is 31289692537 a composite number? Solution: True Example: Is 2412732781 composite? Solution: True Example: Is 1590949567 composite? Solution: False Example: Is 39821 a prime number? Solution: True Example: Is 18849601 a prime number? Solution: True Example: Is 107015081 prime? Solution: True Example: Is 1657673909 composite? Solution: True Example: Is 34695724873 composite? Solution: False Example: Is 21121313 composite? Solution: True Example: Is 332391859 a prime number? Solution: True Example: Is 27470653437 a prime number? Solution: False Example: Is 173490701 a prime number? Solu
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numbers: gcd ------------ Task: What is the greatest common factor of 6355 and 141696? Soln: 41 Task: Calculate the highest common factor of 5819 and 253. Soln: 253 Task: Calculate the greatest common divisor of 200 and 77145344. Soln: 8 Task: What is the highest common divisor of 62 and 16? Soln: 2 Task: What is the highest common divisor of 24 and 67343312? Soln: 8 Task: Calculate the greatest common divisor of 27 and 261. Soln: 9 Task: What is the highest common divisor of 4336 and 639872? Soln: 16 Task: What is the highest common divisor of 92 and 32? Soln: 4 Task: What is the highest common divisor of 32 and 5744? Soln: 16 Task: Calculate the greatest common factor of 24 and 30. Soln: 6 Task: What is the greatest common divisor of 1568721647 and 23? Soln: 23 Task: Calculate the highest common divisor of 375485 and 25. Soln: 5 Task: What is the highest common divisor of 171 and 9? Soln: 9 Task: Calculate the greatest common divisor of 3914500 and 22719758. Soln: 15658 Task: What is the highest common factor of 17 and 1123751? Soln: 17 Task: What is the greatest common divisor of 377 and 559? Soln: 13 Task: What is the highest common divisor of 360 and 6768? Soln: 72 Task: What is the highest common divisor of 75 and 90500115? Soln: 15 Task: Calculate the greatest common divisor of 129 and 1333. Soln: 43 Task: What is the greatest common divisor of 224 and 273? Soln: 7 Task: What is the greatest common divisor of 9900 and 132? Soln: 132 Task: What is the greatest common factor of 3435 and 235? Soln: 5 Task: What is the greatest common divisor of 270 and 88710? Soln: 30 Task: What is the highest common factor of 861778 and 535? Soln: 107 Task: What is the greatest common factor of 1254 and 639426? Soln: 114 Task: What is the greatest common factor of 2948 and 27984? Soln: 44 Task: Calculate the greatest common divisor of 84 and 18. Soln: 6 Task: What is the greatest common factor of 836895 and 45480? Soln: 15 Task: What is the greatest common divisor of 33374 and
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numbers: div remainder ---------------------- Prompt: Calculate the remainder when 10337 is divided by 733. Soln: 75 Prompt: What is the remainder when 35256 is divided by 5027? Soln: 67 Prompt: Calculate the remainder when 35533975 is divided by 7106795. Soln: 0 Prompt: Calculate the remainder when 127 is divided by 22. Soln: 17 Prompt: What is the remainder when 1477 is divided by 114? Soln: 109 Prompt: Calculate the remainder when 9409 is divided by 471. Soln: 460 Prompt: What is the remainder when 2458 is divided by 23? Soln: 20 Prompt: What is the remainder when 3641 is divided by 606? Soln: 5 Prompt: What is the remainder when 19431 is divided by 1932? Soln: 111 Prompt: Calculate the remainder when 13243 is divided by 16. Soln: 11 Prompt: Calculate the remainder when 245 is divided by 235. Soln: 10 Prompt: Calculate the remainder when 1896 is divided by 274. Soln: 252 Prompt: Calculate the remainder when 157577 is divided by 527. Soln: 4 Prompt: What is the remainder when 1292 is divided by 50? Soln: 42 Prompt: Calculate the remainder when 63538 is divided by 203. Soln: 202 Prompt: Calculate the remainder when 629 is divided by 79. Soln: 76 Prompt: Calculate the remainder when 4971 is divided by 4328. Soln: 643 Prompt: Calculate the remainder when 56 is divided by 20. Soln: 16 Prompt: What is the remainder when 52803020 is divided by 48? Soln: 44 Prompt: Calculate the remainder when 30534 is divided by 15178. Soln: 178 Prompt: What is the remainder when 343 is divided by 58? Soln: 53 Prompt: Calculate the remainder when 106 is divided by 19. Soln: 11 Prompt: What is the remainder when 1217 is divided by 29? Soln: 28 Prompt: Calculate the remainder when 4649 is divided by 91. Soln: 8 Prompt: Calculate the remainder when 91871294 is divided by 1218. Soln: 1208 Prompt: Calculate the remainder when 43725 is divided by 2961. Soln: 2271 Prompt: What is the remainder when 246717 is divided by 8577? Soln: 6561 Prompt: Calculate the remainder when 260 is divided by 29.
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numbers: is prime ----------------- Example: Is 154109 composite? Outcome: True Example: Is 17249 composite? Outcome: True Example: Is 115953 prime? Outcome: False Example: Is 2850013 composite? Outcome: False Example: Is 212341279 a composite number? Outcome: False Example: Is 165391 prime? Outcome: True Example: Is 204334340173 composite? Outcome: True Example: Is 1157602051 a composite number? Outcome: True Example: Is 12446918453 a composite number? Outcome: True Example: Is 1758379 composite? Outcome: True Example: Is 501873799 a prime number? Outcome: False Example: Is 2674739 prime? Outcome: False Example: Is 6197 a composite number? Outcome: False Example: Is 93770345 composite? Outcome: True Example: Is 9041 a composite number? Outcome: False Example: Is 57706943 composite? Outcome: True Example: Is 31132807 composite? Outcome: True Example: Is 124952099 a composite number? Outcome: False Example: Is 15977 composite? Outcome: True Example: Is 33443 prime? Outcome: False Example: Is 471170783 a composite number? Outcome: False Example: Is 334999 composite? Outcome: True Example: Is 421783 prime? Outcome: True Example: Is 6029735 prime? Outcome: False Example: Is 246746 a composite number? Outcome: True Example: Is 3809051 composite? Outcome: False Example: Is 927152687 a prime number? Outcome: True Example: Is 70588237 composite? Outcome: False Example: Is 2864599 composite? Outcome: False Example: Is 821027 prime? Outcome: True Example: Is 232049 a composite number? Outcome: False Example: Is 42583 a composite number? Outcome: True Example: Is 104035 a prime number? Outcome: False Example: Is 18182383 prime? Outcome: False Example: Is 427900531 prime? Outcome: True Example: Is 69757157 a prime number? Outcome: True Example: Is 1994497991 prime? Outcome: False Example: Is 124059607739 prime? Outcome: True Example: Is 7782940811 a composite number? Outcome: False Example: Is 1170121742 a prime number? Outcome: False Example: Is 22283441 composite? Outcome: Fa
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probability: swr p level set ---------------------------- Case: Three letters picked without replacement from {f: 1, r: 3}. Give prob of picking 3 r. Key: 1/4 Case: Two letters picked without replacement from hhhgvxj. What is prob of picking 2 h? Key: 1/7 Case: What is prob of picking 1 f, 1 u, and 1 j when three letters picked without replacement from fufjffujf? Key: 5/21 Case: Calculate prob of picking 1 e, 1 r, and 1 g when three letters picked without replacement from evvvigrrv. Key: 1/42 Case: What is prob of picking 1 y, 1 x, and 1 l when three letters picked without replacement from yxlyylyx? Key: 2/7 Case: What is prob of picking 2 b when two letters picked without replacement from {w: 2, b: 4, o: 3, i: 4, s: 1, h: 1}? Key: 2/35 Case: Four letters picked without replacement from {a: 3, k: 2, v: 1, m: 1, i: 2, u: 3}. Give prob of picking 1 m and 3 a. Key: 1/495 Case: What is prob of picking 3 y and 1 v when four letters picked without replacement from {h: 9, v: 2, y: 6}? Key: 2/119 Case: What is prob of picking 2 g when two letters picked without replacement from {w: 16, g: 4}? Key: 3/95 Case: Two letters picked without replacement from hccccmcccttmcccchcc. What is prob of picking 1 t and 1 c? Key: 26/171 Case: Three letters picked without replacement from {u: 3, n: 2, f: 2, l: 1, m: 3, r: 3}. Give prob of picking 1 n, 1 l, and 1 f. Key: 1/91 Case: Three letters picked without replacement from {c: 7}. What is prob of picking 3 c? Key: 1 Case: Four letters picked without replacement from jjsjsj. What is prob of picking 2 s and 2 j? Key: 2/5 Case: What is prob of picking 1 w and 1 y when two letters picked without replacement from ppybpbbbpgbbbwgg? Key: 1/120 Case: Two letters picked without replacement from bvbguagtgvva. Give prob of picking 1 v and 1 u. Key: 1/22 Case: Two letters picked without replacement from {v: 2, q: 3}. What is prob of picking 2 q? Key: 3/10 Case: What is prob of picking 1 s, 2 w, and 1 e when four letters picked without replacement fro
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numbers: is prime ----------------- Question: Is 22201253153 composite? Soln: True Question: Is 26984885 a composite number? Soln: True Question: Is 675429 a composite number? Soln: True Question: Is 185422631 composite? Soln: True Question: Is 682775095 prime? Soln: False Question: Is 45347 a composite number? Soln: True Question: Is 972302117 a prime number? Soln: False Question: Is 5506 composite? Soln: True Question: Is 2153 composite? Soln: False Question: Is 912961 composite? Soln: True Question: Is 6063572237 composite? Soln: False Question: Is 13994501 a composite number? Soln: True Question: Is 32901641 composite? Soln: False Question: Is 29364877207 prime? Soln: False Question: Is 2333 prime? Soln: True Question: Is 1055 a prime number? Soln: False Question: Is 40923959 a prime number? Soln: False Question: Is 37231 composite? Soln: True Question: Is 349963 prime? Soln: True Question: Is 48179 a composite number? Soln: False Question: Is 13804693 composite? Soln: True Question: Is 11685942949 a prime number? Soln: True Question: Is 2264686261 a composite number? Soln: False Question: Is 69873331 composite? Soln: True Question: Is 66773 a composite number? Soln: True Question: Is 868231111 a composite number? Soln: True Question: Is 551 prime? Soln: False Question: Is 6807419 prime? Soln: True Question: Is 24877242029 a composite number? Soln: True Question: Is 1151 prime? Soln: True Question: Is 391861 a composite number? Soln: False Question: Is 224921 a composite number? Soln: False Question: Is 119819881 a prime number? Soln: True Question: Is 16943 a composite number? Soln: False Question: Is 25049059 a composite number? Soln: True Question: Is 7674767 composite? Soln: False Question: Is 7909903 prime? Soln: True Question: Is 22961881153 composite? Soln: False Question: Is 26002 a composite number? Soln: True Question: Is 3263159213 a prime number? Soln: True Question: Is 393451 composite? Soln: False Question: Is 506802109 composite? Soln: True Questi
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probability: swr p sequence --------------------------- Qn: Calculate prob of sequence llll when four letters picked without replacement from {l: 6}. Resolution: 1 Qn: Three letters picked without replacement from {j: 3, r: 2, n: 1, e: 13}. What is prob of sequence jrj? Resolution: 2/969 Qn: What is prob of sequence il when two letters picked without replacement from libirlljjiliriirlill? Resolution: 49/380 Qn: Four letters picked without replacement from zttoov. What is prob of sequence oott? Resolution: 1/90 Qn: Calculate prob of sequence olzu when four letters picked without replacement from {l: 5, x: 5, u: 1, z: 1, o: 3}. Resolution: 1/2184 Qn: Two letters picked without replacement from bbfmufmbtmbbmqt. What is prob of sequence qt? Resolution: 1/105 Qn: What is prob of sequence vvdv when four letters picked without replacement from {d: 11, v: 3}? Resolution: 1/364 Qn: Calculate prob of sequence akw when three letters picked without replacement from {w: 2, d: 2, a: 1, k: 4}. Resolution: 1/63 Qn: What is prob of sequence eef when three letters picked without replacement from {e: 2, f: 6}? Resolution: 1/28 Qn: What is prob of sequence mq when two letters picked without replacement from {b: 1, m: 2, q: 2}? Resolution: 1/5 Qn: Calculate prob of sequence fuuu when four letters picked without replacement from uxfuffuufff. Resolution: 1/55 Qn: Calculate prob of sequence eh when two letters picked without replacement from {j: 3, e: 4, h: 2}. Resolution: 1/9 Qn: Four letters picked without replacement from pqqppppppppqqppppqp. Give prob of sequence pqpp. Resolution: 455/3876 Qn: Two letters picked without replacement from {t: 3, x: 1, p: 5}. What is prob of sequence xp? Resolution: 5/72 Qn: What is prob of sequence axa when three letters picked without replacement from axaaxaaaaaaaaqk? Resolution: 22/273 Qn: Calculate prob of sequence wa when two letters picked without replacement from {z: 3, a: 8, n: 1, s: 3, w: 4}. Resolution: 16/171 Qn: What is prob of sequence lpll w
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numbers: is factor ------------------ Exercise: Is 81 a factor of 5938353? Soln: True Exercise: Does 398 divide 6080637632? Soln: True Exercise: Is 20 a factor of 2124? Soln: False Exercise: Is 16 a factor of 41? Soln: False Exercise: Is 38 a factor of 98543? Soln: False Exercise: Does 117 divide 590031? Soln: True Exercise: Is 56 a factor of 2416? Soln: False Exercise: Does 4 divide 587069? Soln: False Exercise: Is 20955 a multiple of 11? Soln: True Exercise: Does 6 divide 1410? Soln: True Exercise: Is 3 a factor of 27189? Soln: True Exercise: Is 93353219 a multiple of 30? Soln: False Exercise: Is 56 a factor of 3846538752? Soln: True Exercise: Is 2604 a multiple of 21? Soln: True Exercise: Is 1916418 a multiple of 540? Soln: False Exercise: Is 7 a factor of 7875? Soln: True Exercise: Does 81 divide 81667278? Soln: True Exercise: Is 41 a factor of 356? Soln: False Exercise: Does 19 divide 247? Soln: True Exercise: Is 34097 a multiple of 3? Soln: False Exercise: Is 2372243450 a multiple of 135? Soln: False Exercise: Is 347819844 a multiple of 3086? Soln: False Exercise: Is 155 a factor of 58921? Soln: False Exercise: Does 14 divide 924? Soln: True Exercise: Is 684 a multiple of 6? Soln: True Exercise: Does 32 divide 5914? Soln: False Exercise: Is 661 a factor of 319044? Soln: False Exercise: Is 5043296618 a multiple of 23? Soln: True Exercise: Does 637 divide 1283911473? Soln: False Exercise: Does 91 divide 2864256? Soln: False Exercise: Is 16 a factor of 528? Soln: True Exercise: Is 24855517 a multiple of 247? Soln: False Exercise: Does 171 divide 48775698? Soln: True Exercise: Is 8 a factor of 134568? Soln: True Exercise: Is 2270 a multiple of 2? Soln: True Exercise: Is 105 a factor of 997710? Soln: True Exercise: Is 33 a factor of 213100547? Soln: False Exercise: Does 30 divide 7196370? Soln: True Exercise: Is 45 a multiple of 5? Soln: True Exercise: Is 5 a factor of 171? Soln: False Exercise: Is 64962 a multiple of 149? Soln: False Exercise: Is 7231 a multiple o
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numbers: place value -------------------- Subquestion: What is the hundreds digit of 36082? Result: 0 Subquestion: What is the hundred thousands digit of 993701? Result: 9 Subquestion: What is the thousands digit of 7722? Result: 7 Subquestion: What is the hundred thousands digit of 27320308? Result: 3 Subquestion: What is the hundred thousands digit of 1352499? Result: 3 Subquestion: What is the hundreds digit of 209534? Result: 5 Subquestion: What is the hundreds digit of 3685? Result: 6 Subquestion: What is the hundred thousands digit of 26436015? Result: 4 Subquestion: What is the hundreds digit of 84794960? Result: 9 Subquestion: What is the hundred millions digit of 1648707612? Result: 6 Subquestion: What is the ten millions digit of 135890340? Result: 3 Subquestion: What is the thousands digit of 5172? Result: 5 Subquestion: What is the units digit of 2232788352? Result: 2 Subquestion: What is the thousands digit of 490460601? Result: 0 Subquestion: What is the hundreds digit of 86060089? Result: 0 Subquestion: What is the hundreds digit of 1065? Result: 0 Subquestion: What is the billions digit of 1011889781? Result: 1 Subquestion: What is the hundreds digit of 802091? Result: 0 Subquestion: What is the tens digit of 14919? Result: 1 Subquestion: What is the thousands digit of 103954570? Result: 4 Subquestion: What is the hundreds digit of 32622? Result: 6 Subquestion: What is the thousands digit of 3961? Result: 3 Subquestion: What is the ten millions digit of 34036729? Result: 3 Subquestion: What is the millions digit of 35763074? Result: 5 Subquestion: What is the hundred thousands digit of 3894111775? Result: 1 Subquestion: What is the tens digit of 185857? Result: 5 Subquestion: What is the hundreds digit of 128079? Result: 0 Subquestion: What is the thousands digit of 2080? Result: 2 Subquestion: What is the units digit of 601? Result: 1 Subquestion: What is the thousands digit of 4993460639? Result: 0 Subquestion: What is the units digit of 1562? Resu
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probability: swr p level set ---------------------------- Problem: What is prob of picking 1 m, 1 r, and 1 i when three letters picked without replacement from dsiudirsdssrumui? Result: 3/280 Problem: What is prob of picking 1 f and 2 k when three letters picked without replacement from {u: 3, m: 2, c: 3, k: 2, f: 3, h: 1}? Result: 3/364 Problem: Two letters picked without replacement from {j: 2, a: 1, f: 1, s: 1}. Give prob of picking 2 j. Result: 1/10 Problem: Two letters picked without replacement from {m: 4, l: 3, n: 1}. What is prob of picking 1 n and 1 l? Result: 3/28 Problem: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {n: 4, c: 2, e: 7}. Result: 4/39 Problem: What is prob of picking 2 x and 1 u when three letters picked without replacement from {x: 1, t: 1, u: 1}? Result: 0 Problem: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4, e: 6, n: 6, j: 2}. Result: 2/51 Problem: What is prob of picking 1 h and 1 k when two letters picked without replacement from xxhdrrxkxk? Result: 2/45 Problem: What is prob of picking 1 v, 1 i, and 2 q when four letters picked without replacement from qipbqqiibbbiuibiivq? Result: 7/646 Problem: What is prob of picking 2 w and 1 m when three letters picked without replacement from mwmwwwmmmmmw? Result: 7/22 Problem: Four letters picked without replacement from {u: 7, e: 1, o: 5, q: 2, r: 3}. What is prob of picking 1 q, 1 r, and 2 u? Result: 7/170 Problem: Three letters picked without replacement from {b: 6, n: 4, d: 10}. Give prob of picking 2 d and 1 n. Result: 3/19 Problem: Two letters picked without replacement from kugkyjyd. What is prob of picking 1 u and 1 d? Result: 1/28 Problem: Two letters picked without replacement from fihfhifi. What is prob of picking 2 i? Result: 3/28 Problem: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {n: 9, j: 1, q: 1, v: 2, m: 1, y: 6}. Result: 1/190 Problem: Four letters picke
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numbers: is prime ----------------- Math Problem: Is 134995662149 composite? Eval: True Math Problem: Is 4757 a prime number? Eval: False Math Problem: Is 5596604443 prime? Eval: True Math Problem: Is 484103 composite? Eval: True Math Problem: Is 26557 a composite number? Eval: False Math Problem: Is 20019889 a prime number? Eval: False Math Problem: Is 18539 composite? Eval: False Math Problem: Is 5988061 prime? Eval: True Math Problem: Is 2244951587 composite? Eval: False Math Problem: Is 1460661533 a composite number? Eval: True Math Problem: Is 70279 a prime number? Eval: False Math Problem: Is 80322911 a prime number? Eval: False Math Problem: Is 271207 a composite number? Eval: True Math Problem: Is 7191547 a prime number? Eval: False Math Problem: Is 4362867499 prime? Eval: False Math Problem: Is 1203257 prime? Eval: False Math Problem: Is 218789 composite? Eval: True Math Problem: Is 39830584874 a composite number? Eval: True Math Problem: Is 405641 composite? Eval: False Math Problem: Is 203807 a composite number? Eval: False Math Problem: Is 43765979 prime? Eval: True Math Problem: Is 52837 composite? Eval: False Math Problem: Is 103035199 a composite number? Eval: False Math Problem: Is 2967199282 composite? Eval: True Math Problem: Is 62285664329 composite? Eval: True Math Problem: Is 5403 a composite number? Eval: True Math Problem: Is 12687 composite? Eval: True Math Problem: Is 1640782277 a prime number? Eval: True Math Problem: Is 489 composite? Eval: True Math Problem: Is 9647 composite? Eval: True Math Problem: Is 2354558509 a composite number? Eval: True Math Problem: Is 1421133853 a composite number? Eval: True Math Problem: Is 714281 prime? Eval: False Math Problem: Is 9248934709 composite? Eval: True Math Problem: Is 489974249 prime? Eval: True Math Problem: Is 822045811 a prime number? Eval: False Math Problem: Is 27239 prime? Eval: True Math Problem: Is 409 composite? Eval: False Math Problem: Is 57442236053 composite? Eval: True Math Problem
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probability: swr p sequence --------------------------- Let us solve: Calculate prob of sequence ps when two letters picked without replacement from {z: 1, p: 4, s: 2}. Thus: 4/21 Let us solve: Three letters picked without replacement from {s: 7, k: 2, g: 11}. Give prob of sequence gks. Thus: 77/3420 Let us solve: Four letters picked without replacement from {c: 1, q: 3, b: 4, d: 5, y: 1, r: 1}. Give prob of sequence bbdy. Thus: 1/546 Let us solve: Two letters picked without replacement from {x: 8, a: 3, z: 7}. Give prob of sequence zz. Thus: 7/51 Let us solve: Four letters picked without replacement from hkkhlhkxkhkxxklhhhl. Give prob of sequence llhh. Thus: 7/2584 Let us solve: Two letters picked without replacement from {u: 1, g: 3, e: 2, j: 1}. What is prob of sequence jg? Thus: 1/14 Let us solve: Three letters picked without replacement from {f: 2, h: 2, s: 3, t: 4, g: 1, u: 2}. What is prob of sequence huh? Thus: 1/546 Let us solve: Calculate prob of sequence kk when two letters picked without replacement from nnbkbbbknnk. Thus: 3/55 Let us solve: Four letters picked without replacement from tottataozloz. Give prob of sequence toaa. Thus: 1/495 Let us solve: Two letters picked without replacement from {h: 1, i: 1, u: 2, d: 1, j: 4}. What is prob of sequence ud? Thus: 1/36 Let us solve: Four letters picked without replacement from {t: 2, z: 3, l: 1, k: 2, j: 3, b: 1}. What is prob of sequence tbkj? Thus: 1/990 Let us solve: Four letters picked without replacement from oojooojojjojjojjjoo. What is prob of sequence jjjo? Thus: 35/646 Let us solve: Four letters picked without replacement from {h: 1, g: 2, s: 2}. What is prob of sequence ghss? Thus: 1/30 Let us solve: Four letters picked without replacement from ykyynyykka. What is prob of sequence aaak? Thus: 0 Let us solve: What is prob of sequence xfx when three letters picked without replacement from xxxfyyxlx? Thus: 5/126 Let us solve: What is prob of sequence aatt when four letters picked without replacement
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measurement: time ----------------- Problem: What is 682 minutes after 9:03 PM? Therefore: 8:25 AM Problem: How many minutes are there between 4:02 AM and 11:27 AM? Therefore: 445 Problem: What is 672 minutes before 3:48 AM? Therefore: 4:36 PM Problem: What is 289 minutes before 12:12 PM? Therefore: 7:23 AM Problem: How many minutes are there between 9:10 PM and 9:04 AM? Therefore: 714 Problem: How many minutes are there between 6:24 PM and 9:11 PM? Therefore: 167 Problem: How many minutes are there between 3:57 AM and 3:56 PM? Therefore: 719 Problem: How many minutes are there between 6:15 AM and 11:10 AM? Therefore: 295 Problem: How many minutes are there between 5:40 AM and 8:02 AM? Therefore: 142 Problem: How many minutes are there between 11:06 AM and 9:49 PM? Therefore: 643 Problem: What is 404 minutes before 9:20 AM? Therefore: 2:36 AM Problem: What is 359 minutes after 8:09 AM? Therefore: 2:08 PM Problem: What is 709 minutes after 4:30 AM? Therefore: 4:19 PM Problem: What is 11 minutes before 4:52 PM? Therefore: 4:41 PM Problem: How many minutes are there between 1:19 PM and 3:35 PM? Therefore: 136 Problem: What is 445 minutes after 4:39 PM? Therefore: 12:04 AM Problem: What is 171 minutes after 12:14 AM? Therefore: 3:05 AM Problem: How many minutes are there between 3:06 PM and 9:00 PM? Therefore: 354 Problem: What is 677 minutes before 4:59 PM? Therefore: 5:42 AM Problem: How many minutes are there between 9:46 PM and 1:59 AM? Therefore: 253 Problem: How many minutes are there between 2:54 PM and 3:27 PM? Therefore: 33 Problem: How many minutes are there between 11:25 AM and 7:25 PM? Therefore: 480 Problem: What is 286 minutes before 7:48 PM? Therefore: 3:02 PM Problem: How many minutes are there between 8:03 AM and 2:43 PM? Therefore: 400 Problem: What is 217 minutes before 8:29 PM? Therefore: 4:52 PM Problem: What is 253 minutes before 1:57 PM? Therefore: 9:44 AM Problem: How many minutes are there between 10:35 PM and 3:21 AM? Therefore: 286 Problem: Wh
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probability: swr p level set ---------------------------- Scenario: Calculate prob of picking 4 v when four letters picked without replacement from {v: 8, q: 5, b: 7}. Final Answer: 14/969 Scenario: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {z: 5, j: 2, q: 5}. Final Answer: 25/66 Scenario: Four letters picked without replacement from oooeeoooeoee. What is prob of picking 4 e? Final Answer: 1/99 Scenario: Two letters picked without replacement from qhqqhhh. Give prob of picking 1 h and 1 q. Final Answer: 4/7 Scenario: Two letters picked without replacement from lllflflffflfflff. Give prob of picking 2 l. Final Answer: 7/40 Scenario: What is prob of picking 2 r and 2 a when four letters picked without replacement from araaaaaraaaraa? Final Answer: 15/91 Scenario: Calculate prob of picking 2 t and 1 u when three letters picked without replacement from oobutboboko. Final Answer: 0 Scenario: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from {j: 2, h: 2, l: 1, k: 6, v: 4, y: 2}. Final Answer: 3/17 Scenario: Calculate prob of picking 1 d, 2 e, and 1 q when four letters picked without replacement from {d: 1, q: 1, e: 2, l: 2, b: 2}. Final Answer: 1/70 Scenario: What is prob of picking 1 t, 1 k, and 1 v when three letters picked without replacement from vtkvbggn? Final Answer: 1/28 Scenario: Calculate prob of picking 3 u when three letters picked without replacement from uuuuuuuuuuuuuuruuuur. Final Answer: 68/95 Scenario: Three letters picked without replacement from {k: 1, q: 3, p: 2, x: 1}. What is prob of picking 2 x and 1 p? Final Answer: 0 Scenario: Four letters picked without replacement from oyoyyyayyay. What is prob of picking 3 y and 1 a? Final Answer: 7/33 Scenario: Three letters picked without replacement from {j: 2, p: 3, m: 2, u: 6, x: 2}. Give prob of picking 2 j and 1 p. Final Answer: 3/455 Scenario: Three letters picked without replacement from {l: 4, w: 2, y: 2, r: 5}. What is
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numbers: place value -------------------- Question: What is the thousands digit of 3032? Solution: 3 Question: What is the units digit of 3741? Solution: 1 Question: What is the units digit of 117130? Solution: 0 Question: What is the ten thousands digit of 11806243? Solution: 0 Question: What is the units digit of 4424? Solution: 4 Question: What is the tens digit of 83754? Solution: 5 Question: What is the tens digit of 12851? Solution: 5 Question: What is the ten millions digit of 65933719? Solution: 6 Question: What is the hundreds digit of 847425? Solution: 4 Question: What is the hundreds digit of 138901? Solution: 9 Question: What is the ten thousands digit of 7390306? Solution: 9 Question: What is the hundred thousands digit of 702537409? Solution: 5 Question: What is the tens digit of 83768938? Solution: 3 Question: What is the thousands digit of 657219020? Solution: 9 Question: What is the hundreds digit of 973630? Solution: 6 Question: What is the tens digit of 9268? Solution: 6 Question: What is the tens digit of 5247? Solution: 4 Question: What is the hundred thousands digit of 74191409? Solution: 1 Question: What is the millions digit of 2626156? Solution: 2 Question: What is the hundred millions digit of 6047828963? Solution: 0 Question: What is the hundreds digit of 271? Solution: 2 Question: What is the thousands digit of 1383478? Solution: 3 Question: What is the hundreds digit of 3222? Solution: 2 Question: What is the units digit of 1085640? Solution: 0 Question: What is the ten thousands digit of 12188? Solution: 1 Question: What is the tens digit of 13996526? Solution: 2 Question: What is the hundreds digit of 5093? Solution: 0 Question: What is the millions digit of 455315795? Solution: 5 Question: What is the tens digit of 454598? Solution: 9 Question: What is the tens digit of 1048? Solution: 4 Question: What is the ten millions digit of 305154748? Solution: 0 Question: What is the hundreds digit of 2597060? Solution: 0 Question: What is the
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probability: swr p sequence --------------------------- What if: Four letters picked without replacement from {i: 1, h: 1, r: 2, w: 2, e: 2, a: 1}. Give prob of sequence hwer. Soln: 1/378 What if: Four letters picked without replacement from dxxx. What is prob of sequence dxxx? Soln: 1/4 What if: Three letters picked without replacement from ddssssd. Give prob of sequence sdd. Soln: 4/35 What if: Calculate prob of sequence gg when two letters picked without replacement from {w: 2, g: 6}. Soln: 15/28 What if: Four letters picked without replacement from {v: 7}. Give prob of sequence vvvv. Soln: 1 What if: Four letters picked without replacement from {m: 2, o: 5}. What is prob of sequence moom? Soln: 1/21 What if: What is prob of sequence ee when two letters picked without replacement from eeeffefeeeeeeeefee? Soln: 91/153 What if: Calculate prob of sequence uejj when four letters picked without replacement from {u: 1, e: 2, j: 2}. Soln: 1/30 What if: What is prob of sequence oooo when four letters picked without replacement from {g: 11, o: 5}? Soln: 1/364 What if: What is prob of sequence tt when two letters picked without replacement from {h: 11, t: 2, c: 7}? Soln: 1/190 What if: Four letters picked without replacement from uuuuu. What is prob of sequence uuuu? Soln: 1 What if: What is prob of sequence ss when two letters picked without replacement from {n: 5, s: 2, t: 7}? Soln: 1/91 What if: Calculate prob of sequence wccc when four letters picked without replacement from {c: 12, w: 3, f: 3}. Soln: 11/204 What if: What is prob of sequence nn when two letters picked without replacement from {n: 10}? Soln: 1 What if: Calculate prob of sequence ct when two letters picked without replacement from tctt. Soln: 1/4 What if: Calculate prob of sequence aa when two letters picked without replacement from aiiiiiaaiiii. Soln: 1/22 What if: Calculate prob of sequence ke when two letters picked without replacement from kpfeffpf. Soln: 1/56 What if: Calculate prob of sequence xcc
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numbers: is prime ----------------- Exercise: Is 31531577809 a prime number? Outcome: True Exercise: Is 1017257 a prime number? Outcome: False Exercise: Is 49089 composite? Outcome: True Exercise: Is 6017911 a composite number? Outcome: True Exercise: Is 11267690573 a prime number? Outcome: True Exercise: Is 12071 a prime number? Outcome: True Exercise: Is 160026707 a prime number? Outcome: True Exercise: Is 630691 composite? Outcome: True Exercise: Is 1158763657 a composite number? Outcome: False Exercise: Is 12399789 composite? Outcome: True Exercise: Is 73917271 a composite number? Outcome: True Exercise: Is 3151 prime? Outcome: False Exercise: Is 328919593 a prime number? Outcome: True Exercise: Is 418750391 composite? Outcome: False Exercise: Is 26934118577 a composite number? Outcome: False Exercise: Is 2871719 a composite number? Outcome: False Exercise: Is 56003537 prime? Outcome: True Exercise: Is 342043627 a prime number? Outcome: True Exercise: Is 287 a composite number? Outcome: True Exercise: Is 17370031457 a composite number? Outcome: True Exercise: Is 197753 prime? Outcome: True Exercise: Is 431638553 a prime number? Outcome: False Exercise: Is 3116071997 prime? Outcome: True Exercise: Is 1151389 composite? Outcome: False Exercise: Is 491662531 composite? Outcome: False Exercise: Is 31946801 a prime number? Outcome: True Exercise: Is 311649571 prime? Outcome: False Exercise: Is 926351 composite? Outcome: False Exercise: Is 1916977 prime? Outcome: True Exercise: Is 19607085737 a prime number? Outcome: True Exercise: Is 859193 composite? Outcome: True Exercise: Is 1061807 a prime number? Outcome: True Exercise: Is 11474 prime? Outcome: False Exercise: Is 7696063 a prime number? Outcome: True Exercise: Is 8454518263 composite? Outcome: False Exercise: Is 821801 a composite number? Outcome: False Exercise: Is 2369 a composite number? Outcome: True Exercise: Is 931450337 a composite number? Outcome: False Exercise: Is 21977 a composite number? Outcome: Fal
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measurement: time ----------------- Case: What is 697 minutes before 4:58 AM? Key: 5:21 PM Case: How many minutes are there between 8:52 AM and 3:30 PM? Key: 398 Case: What is 185 minutes after 3:39 PM? Key: 6:44 PM Case: How many minutes are there between 9:46 AM and 1:52 PM? Key: 246 Case: How many minutes are there between 3:18 AM and 4:06 AM? Key: 48 Case: How many minutes are there between 3:59 AM and 2:27 PM? Key: 628 Case: How many minutes are there between 5:22 AM and 9:32 AM? Key: 250 Case: How many minutes are there between 8:25 AM and 1:28 PM? Key: 303 Case: What is 36 minutes before 6:44 AM? Key: 6:08 AM Case: How many minutes are there between 8:01 AM and 9:58 AM? Key: 117 Case: What is 402 minutes before 10:30 PM? Key: 3:48 PM Case: What is 595 minutes before 9:16 AM? Key: 11:21 PM Case: How many minutes are there between 10:08 PM and 5:27 AM? Key: 439 Case: What is 388 minutes after 6:58 PM? Key: 1:26 AM Case: What is 42 minutes after 4:29 AM? Key: 5:11 AM Case: How many minutes are there between 12:12 AM and 11:54 AM? Key: 702 Case: What is 406 minutes after 10:01 PM? Key: 4:47 AM Case: What is 236 minutes before 11:44 PM? Key: 7:48 PM Case: How many minutes are there between 1:11 PM and 9:11 PM? Key: 480 Case: How many minutes are there between 7:03 PM and 7:15 PM? Key: 12 Case: What is 274 minutes after 12:51 AM? Key: 5:25 AM Case: What is 589 minutes after 1:33 PM? Key: 11:22 PM Case: What is 474 minutes after 6:36 AM? Key: 2:30 PM Case: What is 320 minutes before 6:22 AM? Key: 1:02 AM Case: How many minutes are there between 11:42 PM and 7:25 AM? Key: 463 Case: What is 697 minutes before 12:02 AM? Key: 12:25 PM Case: How many minutes are there between 2:12 AM and 11:21 AM? Key: 549 Case: How many minutes are there between 9:50 PM and 6:53 AM? Key: 543 Case: How many minutes are there between 6:30 AM and 5:50 PM? Key: 680 Case: How many minutes are there between 3:25 AM and 4:55 AM? Key: 90 Case: How many minutes are there between 8:07 AM and 12:2
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numbers: place value -------------------- Question: What is the tens digit of 1568550? Answer: 5 Question: What is the millions digit of 2322820? Answer: 2 Question: What is the tens digit of 2105? Answer: 0 Question: What is the hundred thousands digit of 651298? Answer: 6 Question: What is the ten millions digit of 3595450701? Answer: 9 Question: What is the ten thousands digit of 86012334? Answer: 1 Question: What is the hundreds digit of 714? Answer: 7 Question: What is the ten millions digit of 29708190? Answer: 2 Question: What is the hundred thousands digit of 431225818? Answer: 2 Question: What is the thousands digit of 3181628? Answer: 1 Question: What is the millions digit of 994339299? Answer: 4 Question: What is the millions digit of 110451839? Answer: 0 Question: What is the tens digit of 61174? Answer: 7 Question: What is the thousands digit of 32298? Answer: 2 Question: What is the hundreds digit of 46181? Answer: 1 Question: What is the hundreds digit of 51938557? Answer: 5 Question: What is the hundred thousands digit of 101627924? Answer: 6 Question: What is the hundreds digit of 1706? Answer: 7 Question: What is the hundreds digit of 5211? Answer: 2 Question: What is the tens digit of 554? Answer: 5 Question: What is the hundred thousands digit of 19376462? Answer: 3 Question: What is the hundreds digit of 2067993? Answer: 9 Question: What is the hundred millions digit of 158758536? Answer: 1 Question: What is the units digit of 45548347? Answer: 7 Question: What is the units digit of 6005697? Answer: 7 Question: What is the hundred millions digit of 638337928? Answer: 6 Question: What is the hundred millions digit of 793469283? Answer: 7 Question: What is the hundred thousands digit of 373222? Answer: 3 Question: What is the hundred thousands digit of 600775? Answer: 6 Question: What is the ten thousands digit of 28133? Answer: 2 Question: What is the units digit of 3220? Answer: 0 Question: What is the ten thousands digit of 834372044? Answer: 7
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probability: swr p level set ---------------------------- Qn: Four letters picked without replacement from {l: 4, y: 7}. Give prob of picking 3 y and 1 l. Result: 14/33 Qn: What is prob of picking 2 q and 2 e when four letters picked without replacement from aeeveqaqeee? Result: 1/22 Qn: What is prob of picking 4 d when four letters picked without replacement from gddddg? Result: 1/15 Qn: Calculate prob of picking 2 s and 1 x when three letters picked without replacement from {b: 2, w: 2, m: 4, y: 1, x: 3, s: 8}. Result: 7/95 Qn: Two letters picked without replacement from pppjpqppppjppp. Give prob of picking 1 p and 1 q. Result: 11/91 Qn: Calculate prob of picking 4 c when four letters picked without replacement from cccccccccccccpccccc. Result: 15/19 Qn: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjdjjjddjjjjjj. Result: 35/51 Qn: Calculate prob of picking 1 i and 2 d when three letters picked without replacement from {i: 1, d: 2, w: 1, v: 1}. Result: 1/10 Qn: What is prob of picking 3 a when three letters picked without replacement from aagaaagaag? Result: 7/24 Qn: Two letters picked without replacement from ivtvvlvpvltvljl. Give prob of picking 1 v and 1 t. Result: 4/35 Qn: What is prob of picking 1 o and 2 u when three letters picked without replacement from uuuuoqo? Result: 12/35 Qn: Two letters picked without replacement from {r: 3, f: 17}. What is prob of picking 2 r? Result: 3/190 Qn: What is prob of picking 1 h and 1 t when two letters picked without replacement from thyhghyhhqyyyyy? Result: 1/21 Qn: Two letters picked without replacement from dsaasdsff. Give prob of picking 2 d. Result: 1/36 Qn: Calculate prob of picking 1 j, 1 a, and 1 q when three letters picked without replacement from nqjjqvqqafqvjvq. Result: 18/455 Qn: Two letters picked without replacement from zzzzzyy. Give prob of picking 2 z. Result: 10/21 Qn: What is prob of picking 1 b, 1 x, and 1 e when three letters picked without replacement from {e: 5,
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numbers: div remainder ---------------------- Q: Calculate the remainder when 14838907 is divided by 846. Solution: 67 Q: Calculate the remainder when 51389 is divided by 176. Solution: 173 Q: What is the remainder when 215 is divided by 89? Solution: 37 Q: Calculate the remainder when 83 is divided by 22. Solution: 17 Q: Calculate the remainder when 161 is divided by 81. Solution: 80 Q: What is the remainder when 1326009 is divided by 395? Solution: 389 Q: What is the remainder when 4180 is divided by 51? Solution: 49 Q: Calculate the remainder when 1096 is divided by 60. Solution: 16 Q: Calculate the remainder when 156777 is divided by 164. Solution: 157 Q: What is the remainder when 379 is divided by 23? Solution: 11 Q: Calculate the remainder when 41 is divided by 6. Solution: 5 Q: Calculate the remainder when 2453 is divided by 41. Solution: 34 Q: What is the remainder when 18 is divided by 4? Solution: 2 Q: What is the remainder when 2375 is divided by 170? Solution: 165 Q: What is the remainder when 127 is divided by 32? Solution: 31 Q: What is the remainder when 2575 is divided by 101? Solution: 50 Q: What is the remainder when 7522 is divided by 12? Solution: 10 Q: Calculate the remainder when 191771 is divided by 23. Solution: 20 Q: Calculate the remainder when 731 is divided by 119. Solution: 17 Q: Calculate the remainder when 275 is divided by 96. Solution: 83 Q: What is the remainder when 1892 is divided by 713? Solution: 466 Q: What is the remainder when 599 is divided by 228? Solution: 143 Q: Calculate the remainder when 28100 is divided by 29. Solution: 28 Q: What is the remainder when 62796 is divided by 1560? Solution: 396 Q: What is the remainder when 360777155 is divided by 81? Solution: 77 Q: Calculate the remainder when 904218 is divided by 5989. Solution: 5868 Q: Calculate the remainder when 1169791 is divided by 167096. Solution: 119 Q: What is the remainder when 1796350 is divided by 6909? Solution: 10 Q: Calculate the remainder when 5511759
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numbers: lcm ------------ Case: Find the common denominator of -29/8 and 23/148306. Clarification: 593224 Case: Find the common denominator of -97/105 and 16/385. Clarification: 1155 Case: Find the common denominator of 83/47630 and -41/866. Clarification: 47630 Case: What is the smallest common multiple of 180 and 30910626? Clarification: 309106260 Case: What is the least common multiple of 7867478 and 13048? Clarification: 220289384 Case: Calculate the smallest common multiple of 330 and 930. Clarification: 10230 Case: What is the smallest common multiple of 48 and 702? Clarification: 5616 Case: What is the smallest common multiple of 11209 and 350790? Clarification: 357455010 Case: What is the common denominator of 41/567 and 139/4590? Clarification: 96390 Case: Calculate the least common multiple of 126 and 4504689. Clarification: 9009378 Case: Calculate the common denominator of 51/8 and -5/222. Clarification: 888 Case: What is the smallest common multiple of 432 and 39? Clarification: 5616 Case: Calculate the least common multiple of 2 and 160205. Clarification: 320410 Case: Calculate the smallest common multiple of 6151041 and 741. Clarification: 6151041 Case: Calculate the common denominator of -37/864496 and -109/53960. Clarification: 82127120 Case: Find the common denominator of 197/100939410 and 149/540. Clarification: 605636460 Case: What is the common denominator of 52/11101 and -55/3? Clarification: 33303 Case: Calculate the common denominator of 57/1085 and -33/3920. Clarification: 121520 Case: Find the common denominator of -19/80172960 and 61/33705. Clarification: 240518880 Case: What is the common denominator of -101/3866 and -40/57239? Clarification: 221285974 Case: What is the lowest common multiple of 121 and 11? Clarification: 121 Case: Calculate the least common multiple of 141918474 and 26181. Clarification: 425755422 Case: Find the common denominator of 9/49 and 52/77. Clarification: 539 Case: Calculate the lowest common multiple of 704 and
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arithmetic: nearest integer root -------------------------------- Ask: What is 32311435 to the power of 1/2, to the nearest integer? Conclusion: 5684 Ask: What is 58751942 to the power of 1/2, to the nearest integer? Conclusion: 7665 Ask: What is 457570 to the power of 1/2, to the nearest integer? Conclusion: 676 Ask: What is the cube root of 60386 to the nearest integer? Conclusion: 39 Ask: What is 3876 to the power of 1/8, to the nearest integer? Conclusion: 3 Ask: What is 1157167 to the power of 1/2, to the nearest integer? Conclusion: 1076 Ask: What is 951 to the power of 1/6, to the nearest integer? Conclusion: 3 Ask: What is 363542219 to the power of 1/3, to the nearest integer? Conclusion: 714 Ask: What is 1151067 to the power of 1/6, to the nearest integer? Conclusion: 10 Ask: What is the eighth root of 179928 to the nearest integer? Conclusion: 5 Ask: What is the seventh root of 148738638 to the nearest integer? Conclusion: 15 Ask: What is 640921 to the power of 1/6, to the nearest integer? Conclusion: 9 Ask: What is 25864809 to the power of 1/10, to the nearest integer? Conclusion: 6 Ask: What is 955 to the power of 1/3, to the nearest integer? Conclusion: 10 Ask: What is the square root of 71480 to the nearest integer? Conclusion: 267 Ask: What is the sixth root of 3098 to the nearest integer? Conclusion: 4 Ask: What is the ninth root of 78838056 to the nearest integer? Conclusion: 8 Ask: What is the square root of 3821 to the nearest integer? Conclusion: 62 Ask: What is the eighth root of 179960 to the nearest integer? Conclusion: 5 Ask: What is the ninth root of 120249907 to the nearest integer? Conclusion: 8 Ask: What is the tenth root of 4811 to the nearest integer? Conclusion: 2 Ask: What is the sixth root of 507537842 to the nearest integer? Conclusion: 28 Ask: What is the seventh root of 288 to the nearest integer? Conclusion: 2 Ask: What is the square root of 535243 to the nearest integer? Conclusion: 732 Ask: What is the tenth root of 2426 to the
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numbers: gcd ------------ Conundrum: Calculate the greatest common factor of 2574 and 148088160. Ans: 198 Conundrum: What is the highest common factor of 106 and 293249? Ans: 53 Conundrum: Calculate the greatest common divisor of 161704 and 492. Ans: 164 Conundrum: Calculate the highest common factor of 1891 and 5322607. Ans: 31 Conundrum: What is the greatest common factor of 3630 and 228? Ans: 6 Conundrum: Calculate the highest common factor of 167973 and 1357. Ans: 59 Conundrum: What is the highest common divisor of 130 and 6870565? Ans: 65 Conundrum: What is the greatest common factor of 59087340 and 39780? Ans: 2340 Conundrum: What is the greatest common factor of 42 and 3444714? Ans: 42 Conundrum: Calculate the highest common divisor of 224 and 126. Ans: 14 Conundrum: What is the greatest common divisor of 584826 and 99? Ans: 33 Conundrum: What is the greatest common factor of 198 and 5286? Ans: 6 Conundrum: What is the greatest common divisor of 851 and 4899? Ans: 23 Conundrum: What is the greatest common divisor of 1348800 and 444? Ans: 12 Conundrum: What is the highest common factor of 4544 and 1311086? Ans: 142 Conundrum: Calculate the highest common factor of 40 and 75. Ans: 5 Conundrum: Calculate the greatest common divisor of 118505 and 1936735. Ans: 865 Conundrum: What is the highest common factor of 5576 and 425? Ans: 17 Conundrum: What is the greatest common factor of 210 and 4785? Ans: 15 Conundrum: Calculate the highest common factor of 969 and 42534. Ans: 51 Conundrum: Calculate the greatest common divisor of 1177752 and 24. Ans: 24 Conundrum: Calculate the highest common factor of 272536526 and 1574. Ans: 1574 Conundrum: What is the greatest common divisor of 4966 and 78? Ans: 26 Conundrum: What is the greatest common divisor of 23 and 736? Ans: 23 Conundrum: What is the highest common factor of 66 and 1591414? Ans: 22 Conundrum: Calculate the greatest common divisor of 13631 and 11911. Ans: 43 Conundrum: Calculate the greatest common divisor of
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numbers: place value -------------------- Task: What is the tens digit of 52? Key: 5 Task: What is the thousands digit of 19081246? Key: 1 Task: What is the millions digit of 18474232? Key: 8 Task: What is the units digit of 2260? Key: 0 Task: What is the thousands digit of 9931269? Key: 1 Task: What is the thousands digit of 4623617023? Key: 7 Task: What is the hundred millions digit of 301223315? Key: 3 Task: What is the ten millions digit of 42128843? Key: 4 Task: What is the millions digit of 164521235? Key: 4 Task: What is the ten millions digit of 927134330? Key: 2 Task: What is the units digit of 4244? Key: 4 Task: What is the hundred thousands digit of 933470655? Key: 4 Task: What is the hundreds digit of 31695? Key: 6 Task: What is the millions digit of 1960408? Key: 1 Task: What is the units digit of 310744900? Key: 0 Task: What is the ten millions digit of 82404015? Key: 8 Task: What is the ten thousands digit of 25632? Key: 2 Task: What is the ten thousands digit of 482244894? Key: 4 Task: What is the ten millions digit of 32841331? Key: 3 Task: What is the hundreds digit of 14974? Key: 9 Task: What is the hundreds digit of 2807863? Key: 8 Task: What is the thousands digit of 69408? Key: 9 Task: What is the thousands digit of 9729? Key: 9 Task: What is the hundreds digit of 6039106? Key: 1 Task: What is the tens digit of 24791? Key: 9 Task: What is the units digit of 1485304228? Key: 8 Task: What is the thousands digit of 2635? Key: 2 Task: What is the millions digit of 30874283? Key: 0 Task: What is the hundreds digit of 36473323? Key: 3 Task: What is the tens digit of 3002433? Key: 3 Task: What is the ten thousands digit of 389854544? Key: 5 Task: What is the units digit of 9925? Key: 5 Task: What is the units digit of 151335? Key: 5 Task: What is the hundreds digit of 58323? Key: 3 Task: What is the hundred thousands digit of 22958897? Key: 9 Task: What is the thousands digit of 6118602? Key: 8 Task: What is the units digit of 953? Key: 3 Task: What i
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measurement: conversion ----------------------- Problem: What is twenty-one fifths of a centimeter in millimeters? Resolution: 42 Problem: Convert 81.19111 nanometers to millimeters. Resolution: 0.00008119111 Problem: Convert 0.6044075 millilitres to litres. Resolution: 0.0006044075 Problem: What is 860.479um in millimeters? Resolution: 0.860479 Problem: Convert 4.42261 weeks to milliseconds. Resolution: 2674794528 Problem: How many micrograms are there in 3/8 of a milligram? Resolution: 375 Problem: How many millimeters are there in 1/10 of a centimeter? Resolution: 1 Problem: What is 0.5470241 tonnes in milligrams? Resolution: 547024100 Problem: What is one tenth of a tonne in grams? Resolution: 100000 Problem: How many nanograms are there in 19/4 of a microgram? Resolution: 4750 Problem: What is 3/10 of a kilometer in centimeters? Resolution: 30000 Problem: How many years are there in seven eighths of a millennium? Resolution: 875 Problem: How many seconds are there in 1/4 of a minute? Resolution: 15 Problem: What is fifteen sixteenths of a centimeter in micrometers? Resolution: 9375 Problem: Convert 86219.17 millilitres to litres. Resolution: 86.21917 Problem: Convert 0.2189097l to millilitres. Resolution: 218.9097 Problem: How many meters are there in fifty-five quarters of a kilometer? Resolution: 13750 Problem: How many decades are there in three fifths of a century? Resolution: 6 Problem: What is three eighths of a kilometer in meters? Resolution: 375 Problem: How many millilitres are there in 5/4 of a litre? Resolution: 1250 Problem: What is 7/4 of a millimeter in micrometers? Resolution: 1750 Problem: How many nanometers are there in 21/4 of a micrometer? Resolution: 5250 Problem: How many seconds are there in 31/2 of a minute? Resolution: 930 Problem: How many days are there in 11/7 of a week? Resolution: 11 Problem: Convert 631.705 kilometers to micrometers. Resolution: 631705000000 Problem: Convert 0.2233375ng to kilograms. Resolution: 0.000000000000223
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numbers: div remainder ---------------------- Item: What is the remainder when 22 is divided by 14? Eval: 8 Item: Calculate the remainder when 400177 is divided by 428. Eval: 425 Item: What is the remainder when 111022344 is divided by 35? Eval: 34 Item: What is the remainder when 6102449 is divided by 587? Eval: 584 Item: What is the remainder when 58128 is divided by 697? Eval: 277 Item: Calculate the remainder when 34131 is divided by 549. Eval: 93 Item: What is the remainder when 251 is divided by 21? Eval: 20 Item: What is the remainder when 155593 is divided by 8759? Eval: 6690 Item: Calculate the remainder when 106 is divided by 56. Eval: 50 Item: Calculate the remainder when 86351 is divided by 6297. Eval: 4490 Item: Calculate the remainder when 1459 is divided by 43. Eval: 40 Item: What is the remainder when 214807 is divided by 12? Eval: 7 Item: What is the remainder when 1931 is divided by 383? Eval: 16 Item: Calculate the remainder when 318877 is divided by 800. Eval: 477 Item: Calculate the remainder when 29837 is divided by 20. Eval: 17 Item: What is the remainder when 1188 is divided by 149? Eval: 145 Item: What is the remainder when 3150893 is divided by 450098? Eval: 207 Item: What is the remainder when 162842 is divided by 312? Eval: 290 Item: What is the remainder when 7645 is divided by 1435? Eval: 470 Item: What is the remainder when 313 is divided by 79? Eval: 76 Item: What is the remainder when 13405892 is divided by 34? Eval: 32 Item: What is the remainder when 265661 is divided by 37745? Eval: 1446 Item: Calculate the remainder when 86237 is divided by 28732. Eval: 41 Item: Calculate the remainder when 4193 is divided by 1389. Eval: 26 Item: Calculate the remainder when 6414223 is divided by 1282841. Eval: 18 Item: What is the remainder when 4269653 is divided by 110? Eval: 3 Item: Calculate the remainder when 9218233 is divided by 230452. Eval: 153 Item: What is the remainder when 66520 is divided by 811? Eval: 18 Item: What is the remainde
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numbers: place value -------------------- Challenge: What is the hundreds digit of 20696147? A: 1 Challenge: What is the tens digit of 51? A: 5 Challenge: What is the hundreds digit of 57978? A: 9 Challenge: What is the hundred thousands digit of 12409074? A: 4 Challenge: What is the tens digit of 68370? A: 7 Challenge: What is the millions digit of 3995839068? A: 5 Challenge: What is the tens digit of 1328? A: 2 Challenge: What is the units digit of 17205? A: 5 Challenge: What is the units digit of 7152? A: 2 Challenge: What is the ten thousands digit of 643450? A: 4 Challenge: What is the thousands digit of 1742935? A: 2 Challenge: What is the hundreds digit of 180750555? A: 5 Challenge: What is the hundreds digit of 809? A: 8 Challenge: What is the tens digit of 467? A: 6 Challenge: What is the tens digit of 1796? A: 9 Challenge: What is the thousands digit of 1439177362? A: 7 Challenge: What is the thousands digit of 5391? A: 5 Challenge: What is the tens digit of 10581217? A: 1 Challenge: What is the ten thousands digit of 1041956? A: 4 Challenge: What is the hundreds digit of 17000807? A: 8 Challenge: What is the units digit of 1632694945? A: 5 Challenge: What is the tens digit of 13577? A: 7 Challenge: What is the tens digit of 1726? A: 2 Challenge: What is the units digit of 8089288? A: 8 Challenge: What is the tens digit of 10289? A: 8 Challenge: What is the thousands digit of 99121999? A: 1 Challenge: What is the tens digit of 21997? A: 9 Challenge: What is the hundreds digit of 96257? A: 2 Challenge: What is the hundred thousands digit of 3109953719? A: 9 Challenge: What is the thousands digit of 9371? A: 9 Challenge: What is the tens digit of 2646? A: 4 Challenge: What is the units digit of 2522? A: 2 Challenge: What is the units digit of 36882? A: 2 Challenge: What is the tens digit of 4032? A: 3 Challenge: What is the ten thousands digit of 142764762? A: 6 Challenge: What is the tens digit of 89246268? A: 6 Challenge: What is the ten thousands digit of
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probability: swr p sequence --------------------------- Question: Two letters picked without replacement from {f: 1, o: 1, z: 9, a: 7, i: 2}. What is prob of sequence zi? Calculation: 9/190 Question: Two letters picked without replacement from eevtemvjvj. What is prob of sequence tm? Calculation: 1/90 Question: Four letters picked without replacement from ghggghggdaddgyggggg. Give prob of sequence hdah. Calculation: 1/15504 Question: Three letters picked without replacement from {n: 4, q: 4, u: 3, t: 4}. Give prob of sequence nnn. Calculation: 4/455 Question: Four letters picked without replacement from yyyeyeyeyy. Give prob of sequence yyee. Calculation: 1/20 Question: Three letters picked without replacement from oyyuuoogcacoouu. Give prob of sequence you. Calculation: 4/273 Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 7, j: 2}. Calculation: 7/12 Question: Calculate prob of sequence jpjp when four letters picked without replacement from ppppjj. Calculation: 1/15 Question: Two letters picked without replacement from lvccops. What is prob of sequence vc? Calculation: 1/21 Question: Three letters picked without replacement from evsveevevvv. What is prob of sequence vev? Calculation: 4/33 Question: What is prob of sequence fzz when three letters picked without replacement from bzmomfz? Calculation: 1/105 Question: Calculate prob of sequence zht when three letters picked without replacement from {z: 1, s: 3, t: 2, j: 2, h: 4}. Calculation: 1/165 Question: Three letters picked without replacement from {a: 2, w: 8, i: 4}. What is prob of sequence awi? Calculation: 8/273 Question: Three letters picked without replacement from mmmmmmmmmm. What is prob of sequence mmm? Calculation: 1 Question: Calculate prob of sequence zzzz when four letters picked without replacement from zzhzzhzzzzz. Calculation: 21/55 Question: Three letters picked without replacement from waaawaawaaawaw. What is prob of sequence awa? Calculation: 15/91 Qu
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measurement: conversion ----------------------- Statement: What is one quarter of a centimeter in micrometers? A: 2500 Statement: How many minutes are there in 1/9 of a day? A: 160 Statement: How many millilitres are there in 3/25 of a litre? A: 120 Statement: What is 9095.51 millimeters in kilometers? A: 0.00909551 Statement: How many minutes are there in twenty ninths of a week? A: 22400 Statement: What is 3/8 of a litre in millilitres? A: 375 Statement: Convert 558695.3mm to centimeters. A: 55869.53 Statement: How many nanograms are there in twenty-one quarters of a microgram? A: 5250 Statement: Convert 9166.75 litres to millilitres. A: 9166750 Statement: How many millilitres are there in 42/5 of a litre? A: 8400 Statement: What is one sixth of a day in seconds? A: 14400 Statement: What is 391678.3 centuries in millennia? A: 39167.83 Statement: What is 25/8 of a microgram in nanograms? A: 3125 Statement: How many nanograms are there in twenty-one eighths of a microgram? A: 2625 Statement: How many milliseconds are there in one quarter of a minute? A: 15000 Statement: What is 37/2 of a kilometer in meters? A: 18500 Statement: What is 11/10 of a millennium in years? A: 1100 Statement: How many decades are there in 26/5 of a millennium? A: 520 Statement: What is 3/25 of a kilometer in meters? A: 120 Statement: What is twenty-seven fifths of a kilogram in grams? A: 5400 Statement: What is three tenths of a second in milliseconds? A: 300 Statement: How many millimeters are there in thirteen quarters of a meter? A: 3250 Statement: What is thirty-three fifths of a millimeter in micrometers? A: 6600 Statement: How many millilitres are there in 15/4 of a litre? A: 3750 Statement: What is 56.03433kg in milligrams? A: 56034330 Statement: How many millennia are there in 687700.2 months? A: 57.30835 Statement: How many millilitres are there in 1.038351l? A: 1038.351 Statement: Convert 4.376454 hours to microseconds. A: 15755234400 Statement: How many months are there in 2/75
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probability: swr p sequence --------------------------- Given: What is prob of sequence qjsj when four letters picked without replacement from qqjsjjssj? = : 1/42 Given: Two letters picked without replacement from bsbbu. What is prob of sequence us? = : 1/20 Given: Four letters picked without replacement from {a: 2, r: 2, u: 2, s: 5, o: 2}. Give prob of sequence orss. = : 2/429 Given: Calculate prob of sequence yy when two letters picked without replacement from nynyyyyyynnnn. = : 7/26 Given: Calculate prob of sequence eyeg when four letters picked without replacement from geggciyge. = : 1/378 Given: Four letters picked without replacement from qqqggqlqqqgfqq. What is prob of sequence qlqg? = : 9/1001 Given: What is prob of sequence jjjs when four letters picked without replacement from {s: 3, j: 15}? = : 91/816 Given: Two letters picked without replacement from {y: 2, t: 9, f: 1, q: 1, o: 4}. Give prob of sequence qt. = : 9/272 Given: Three letters picked without replacement from wngcgoc. Give prob of sequence own. = : 1/210 Given: Two letters picked without replacement from {b: 1, s: 2, f: 4, u: 1, l: 2}. Give prob of sequence sf. = : 4/45 Given: Calculate prob of sequence wtwt when four letters picked without replacement from twwtww. = : 1/15 Given: Calculate prob of sequence upuu when four letters picked without replacement from upuupuuuuuuupuuuuuuu. = : 2/19 Given: Three letters picked without replacement from {f: 14, b: 5}. Give prob of sequence fff. = : 364/969 Given: What is prob of sequence off when three letters picked without replacement from oooffo? = : 1/15 Given: Two letters picked without replacement from jhh. What is prob of sequence hj? = : 1/3 Given: Calculate prob of sequence qq when two letters picked without replacement from yyfnqrgnrrqyynn. = : 1/105 Given: Two letters picked without replacement from {s: 5, h: 7, i: 2}. What is prob of sequence hs? = : 5/26 Given: Three letters picked without replacement from ivigpcvggpvgsgvsgvs. What is prob o
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measurement: conversion ----------------------- Prompt: How many hours are there in 373973.13ns? A: 0.000000103881425 Prompt: What is 484148.8 millennia in centuries? A: 4841488 Prompt: How many litres are there in 59152.45 millilitres? A: 59.15245 Prompt: How many micrograms are there in 31/5 of a milligram? A: 6200 Prompt: What is 5486.744 milligrams in kilograms? A: 0.005486744 Prompt: What is one sixteenth of a tonne in grams? A: 62500 Prompt: How many millilitres are there in 1/5 of a litre? A: 200 Prompt: How many months are there in three eighths of a decade? A: 45 Prompt: What is 4.296747 grams in milligrams? A: 4296.747 Prompt: Convert 16.561578ms to minutes. A: 0.0002760263 Prompt: How many months are there in 5/24 of a decade? A: 25 Prompt: What is 93.88989mg in micrograms? A: 93889.89 Prompt: How many decades are there in 17024.57 millennia? A: 1702457 Prompt: Convert 8.437629 centuries to millennia. A: 0.8437629 Prompt: What is 5/6 of a day in minutes? A: 1200 Prompt: Convert 30.95803 minutes to microseconds. A: 1857481800 Prompt: What is 77087.81 milligrams in kilograms? A: 0.07708781 Prompt: How many millilitres are there in 3/40 of a litre? A: 75 Prompt: How many seconds are there in five quarters of a minute? A: 75 Prompt: Convert 7355.03 milliseconds to seconds. A: 7.35503 Prompt: What is 63060.98 millilitres in litres? A: 63.06098 Prompt: How many tonnes are there in 8.495119 milligrams? A: 0.000000008495119 Prompt: What is 737.3542 meters in kilometers? A: 0.7373542 Prompt: What is one twentieth of a milligram in nanograms? A: 50000 Prompt: How many years are there in 26/5 of a century? A: 520 Prompt: What is three eighths of a kilometer in meters? A: 375 Prompt: Convert 92.90102nm to micrometers. A: 0.09290102 Prompt: What is 8/25 of a milligram in micrograms? A: 320 Prompt: What is 17/2 of a millennium in centuries? A: 85 Prompt: What is three eighths of a millennium in months? A: 4500 Prompt: How many millilitres are there in 5/8 of a litre? A
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probability: swr p sequence --------------------------- Given: Four letters picked without replacement from rkdkjwu. What is prob of sequence rjwd? Outcome: 1/840 Given: Three letters picked without replacement from {l: 3, r: 1, m: 3, h: 1, z: 2, i: 1}. What is prob of sequence hll? Outcome: 1/165 Given: Three letters picked without replacement from pxnnneeeensssse. What is prob of sequence nne? Outcome: 2/91 Given: Three letters picked without replacement from yyssyss. What is prob of sequence yyy? Outcome: 1/35 Given: Two letters picked without replacement from ttqqwqpwtsqqqtttqt. Give prob of sequence tw. Outcome: 7/153 Given: Two letters picked without replacement from ddccndmddnnndnncdccc. Give prob of sequence dm. Outcome: 7/380 Given: Three letters picked without replacement from weqer. Give prob of sequence qee. Outcome: 1/30 Given: Calculate prob of sequence llll when four letters picked without replacement from {l: 5, d: 2}. Outcome: 1/7 Given: What is prob of sequence urka when four letters picked without replacement from roaokukkoookoou? Outcome: 1/4095 Given: Calculate prob of sequence ppp when three letters picked without replacement from ooopooooopoopooooopo. Outcome: 1/285 Given: Two letters picked without replacement from fpmfifm. Give prob of sequence pi. Outcome: 1/42 Given: Three letters picked without replacement from uuxfutfuk. Give prob of sequence ukx. Outcome: 1/126 Given: Three letters picked without replacement from {g: 6, n: 2, l: 3, c: 3, o: 1}. What is prob of sequence coc? Outcome: 1/455 Given: Two letters picked without replacement from {b: 5, q: 2, l: 2, a: 1, v: 1, k: 2}. Give prob of sequence vb. Outcome: 5/156 Given: Calculate prob of sequence wtnw when four letters picked without replacement from {t: 1, r: 3, n: 2, b: 1, w: 6, i: 2}. Outcome: 1/546 Given: Calculate prob of sequence sfdd when four letters picked without replacement from ffffdsssdfsf. Outcome: 2/495 Given: Calculate prob of sequence im when two letters picked witho
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arithmetic: nearest integer root -------------------------------- Input: What is 706 to the power of 1/9, to the nearest integer? Hence: 2 Input: What is the ninth root of 3269969502 to the nearest integer? Hence: 11 Input: What is 14509 to the power of 1/9, to the nearest integer? Hence: 3 Input: What is 258 to the power of 1/9, to the nearest integer? Hence: 2 Input: What is the square root of 4258 to the nearest integer? Hence: 65 Input: What is the square root of 1433819027 to the nearest integer? Hence: 37866 Input: What is 1562 to the power of 1/2, to the nearest integer? Hence: 40 Input: What is 8673844 to the power of 1/10, to the nearest integer? Hence: 5 Input: What is 41725429 to the power of 1/2, to the nearest integer? Hence: 6460 Input: What is 2757196 to the power of 1/3, to the nearest integer? Hence: 140 Input: What is 6382 to the power of 1/3, to the nearest integer? Hence: 19 Input: What is the fourth root of 4198149 to the nearest integer? Hence: 45 Input: What is the square root of 16593759 to the nearest integer? Hence: 4074 Input: What is 178709780 to the power of 1/2, to the nearest integer? Hence: 13368 Input: What is 293 to the power of 1/3, to the nearest integer? Hence: 7 Input: What is the third root of 16861941 to the nearest integer? Hence: 256 Input: What is 11104 to the power of 1/3, to the nearest integer? Hence: 22 Input: What is 616655223 to the power of 1/3, to the nearest integer? Hence: 851 Input: What is the cube root of 15655 to the nearest integer? Hence: 25 Input: What is 1074803963 to the power of 1/2, to the nearest integer? Hence: 32784 Input: What is the eighth root of 19580 to the nearest integer? Hence: 3 Input: What is 22846 to the power of 1/9, to the nearest integer? Hence: 3 Input: What is 50977799 to the power of 1/2, to the nearest integer? Hence: 7140 Input: What is 1045492117 to the power of 1/2, to the nearest integer? Hence: 32334 Input: What is 56787351 to the power of 1/10, to the nearest integer? Hence: 6
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numbers: place value -------------------- Query: What is the hundred millions digit of 2722147092? Fix: 7 Query: What is the hundreds digit of 4641945687? Fix: 6 Query: What is the units digit of 49903? Fix: 3 Query: What is the units digit of 332064? Fix: 4 Query: What is the thousands digit of 39732? Fix: 9 Query: What is the ten thousands digit of 67034? Fix: 6 Query: What is the tens digit of 1952? Fix: 5 Query: What is the hundred thousands digit of 2162798? Fix: 1 Query: What is the units digit of 6410? Fix: 0 Query: What is the thousands digit of 8778794? Fix: 8 Query: What is the hundred millions digit of 2192934148? Fix: 1 Query: What is the units digit of 4021619304? Fix: 4 Query: What is the tens digit of 1965? Fix: 6 Query: What is the tens digit of 70464? Fix: 6 Query: What is the millions digit of 51476686? Fix: 1 Query: What is the thousands digit of 567868? Fix: 7 Query: What is the hundred thousands digit of 245154? Fix: 2 Query: What is the units digit of 17001025? Fix: 5 Query: What is the units digit of 1917585? Fix: 5 Query: What is the thousands digit of 1033? Fix: 1 Query: What is the hundreds digit of 18830? Fix: 8 Query: What is the hundreds digit of 2018? Fix: 0 Query: What is the ten thousands digit of 77476207? Fix: 7 Query: What is the hundreds digit of 2737? Fix: 7 Query: What is the millions digit of 36904632? Fix: 6 Query: What is the millions digit of 4474458? Fix: 4 Query: What is the tens digit of 14928? Fix: 2 Query: What is the thousands digit of 87827680? Fix: 7 Query: What is the units digit of 419? Fix: 9 Query: What is the ten thousands digit of 10520918? Fix: 2 Query: What is the hundred thousands digit of 40038945? Fix: 0 Query: What is the ten thousands digit of 1676318? Fix: 7 Query: What is the tens digit of 43390? Fix: 9 Query: What is the thousands digit of 1047769? Fix: 7 Query: What is the thousands digit of 7199? Fix: 7 Query: What is the hundreds digit of 872418338? Fix: 3 Query: What is the hundred thousands digit
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numbers: is prime ----------------- Topic: Is 37418842057 composite? Yields: True Topic: Is 3967 a prime number? Yields: True Topic: Is 40980139351 prime? Yields: False Topic: Is 148591 prime? Yields: False Topic: Is 21427829 composite? Yields: False Topic: Is 262253 a composite number? Yields: False Topic: Is 1136929 composite? Yields: True Topic: Is 84011 prime? Yields: True Topic: Is 907427 a composite number? Yields: False Topic: Is 40134697 a composite number? Yields: True Topic: Is 782232343 a prime number? Yields: True Topic: Is 5191 a prime number? Yields: False Topic: Is 6295162831 composite? Yields: False Topic: Is 21961 a prime number? Yields: True Topic: Is 9127 a composite number? Yields: False Topic: Is 60456349 a composite number? Yields: False Topic: Is 825637 composite? Yields: False Topic: Is 4555180931 composite? Yields: True Topic: Is 82620809459 composite? Yields: True Topic: Is 223267 a composite number? Yields: True Topic: Is 310746529 a composite number? Yields: True Topic: Is 7060303979 composite? Yields: True Topic: Is 101930243 composite? Yields: True Topic: Is 37481 a prime number? Yields: False Topic: Is 189426949 a composite number? Yields: True Topic: Is 9893 prime? Yields: False Topic: Is 6383417 a prime number? Yields: True Topic: Is 132539689693 prime? Yields: False Topic: Is 12895 prime? Yields: False Topic: Is 14969 a prime number? Yields: True Topic: Is 292753 composite? Yields: False Topic: Is 555692509 prime? Yields: True Topic: Is 24469427 a prime number? Yields: False Topic: Is 2758351943 a prime number? Yields: True Topic: Is 38911 a composite number? Yields: True Topic: Is 42241 a composite number? Yields: True Topic: Is 2763251 a composite number? Yields: False Topic: Is 46798 a composite number? Yields: True Topic: Is 3277691 prime? Yields: True Topic: Is 25967 composite? Yields: True Topic: Is 491417357 prime? Yields: True Topic: Is 877087 a prime number? Yields: False Topic: Is 26327831 a prime number? Yields: False Top
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probability: swr p level set ---------------------------- Situation: Three letters picked without replacement from {y: 7, s: 3, t: 4, o: 3, j: 3}. Give prob of picking 1 y, 1 o, and 1 j. Gives: 21/380 Situation: Two letters picked without replacement from {n: 2, z: 2, h: 6, i: 2}. What is prob of picking 1 n and 1 z? Gives: 2/33 Situation: Calculate prob of picking 4 s when four letters picked without replacement from sssssss. Gives: 1 Situation: Three letters picked without replacement from shhheehes. Give prob of picking 2 h and 1 e. Gives: 3/14 Situation: Two letters picked without replacement from {j: 10}. What is prob of picking 2 j? Gives: 1 Situation: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from qqqqqqvqqqqqvvq. Gives: 12/35 Situation: What is prob of picking 1 z and 1 v when two letters picked without replacement from zvzz? Gives: 1/2 Situation: Three letters picked without replacement from kskkkkkknkskkk. Give prob of picking 1 s, 1 n, and 1 k. Gives: 11/182 Situation: Three letters picked without replacement from mimimii. What is prob of picking 2 m and 1 i? Gives: 12/35 Situation: What is prob of picking 1 w, 1 d, and 1 k when three letters picked without replacement from {w: 1, a: 1, k: 10, d: 7}? Gives: 70/969 Situation: Two letters picked without replacement from yytye. Give prob of picking 1 e and 1 y. Gives: 3/10 Situation: What is prob of picking 2 z when two letters picked without replacement from jjjjjjjzjzjzjz? Gives: 6/91 Situation: What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 1, z: 1, b: 4, t: 11}? Gives: 1/136 Situation: Four letters picked without replacement from iiqiiqqiqiiiiiiiqii. Give prob of picking 2 i and 2 q. Gives: 455/1938 Situation: Three letters picked without replacement from {x: 2, p: 4, n: 2, j: 2, z: 4, y: 1}. What is prob of picking 1 z, 1 p, and 1 n? Gives: 32/455 Situation: Two letters picked without replacement from hhjjhjhh. Give prob o
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probability: swr p sequence --------------------------- Item: Three letters picked without replacement from prrrrrrpprrr. Give prob of sequence rrp. Derivation: 9/55 Item: What is prob of sequence bmm when three letters picked without replacement from aammiab? Derivation: 1/105 Item: Four letters picked without replacement from sfgrofrookss. What is prob of sequence rkrg? Derivation: 1/5940 Item: Calculate prob of sequence dn when two letters picked without replacement from {c: 4, j: 10, n: 2, u: 2, d: 1}. Derivation: 1/171 Item: What is prob of sequence icwc when four letters picked without replacement from iwwcwwiicwwi? Derivation: 2/495 Item: Calculate prob of sequence ppac when four letters picked without replacement from pappizczpcic. Derivation: 1/330 Item: What is prob of sequence dee when three letters picked without replacement from nuennnundununbdeend? Derivation: 1/323 Item: Two letters picked without replacement from dddddzzzzddpdzpdzz. What is prob of sequence dz? Derivation: 7/34 Item: What is prob of sequence rrzb when four letters picked without replacement from {y: 2, b: 1, z: 1, r: 3, w: 1, k: 5}? Derivation: 1/2860 Item: What is prob of sequence ggg when three letters picked without replacement from {g: 11, s: 3}? Derivation: 165/364 Item: What is prob of sequence xwvd when four letters picked without replacement from wvwwwxwwwwcwdww? Derivation: 11/32760 Item: Three letters picked without replacement from {g: 2, i: 1, b: 2, s: 1}. What is prob of sequence gsb? Derivation: 1/30 Item: Calculate prob of sequence eqro when four letters picked without replacement from {o: 1, n: 4, q: 2, e: 3, r: 2}. Derivation: 1/990 Item: What is prob of sequence jhhm when four letters picked without replacement from jmhhm? Derivation: 1/30 Item: Calculate prob of sequence aiaf when four letters picked without replacement from irfcaarc. Derivation: 1/840 Item: What is prob of sequence czcc when four letters picked without replacement from {z: 9, c: 3}? Derivation: 1/
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probability: swr p level set ---------------------------- Task: Calculate prob of picking 2 j when two letters picked without replacement from wjwwwwjwwwjwjw. Therefore: 6/91 Task: Two letters picked without replacement from {y: 1, n: 1, p: 1, i: 2}. Give prob of picking 1 i and 1 p. Therefore: 1/5 Task: What is prob of picking 1 j and 2 a when three letters picked without replacement from {j: 4, a: 6}? Therefore: 1/2 Task: Four letters picked without replacement from {q: 4, p: 3, x: 1, m: 1, i: 1, n: 2}. Give prob of picking 1 i, 1 x, 1 m, and 1 n. Therefore: 2/495 Task: Two letters picked without replacement from {r: 7, g: 1}. What is prob of picking 2 r? Therefore: 3/4 Task: What is prob of picking 3 p when three letters picked without replacement from eeeedpddeededpedeepp? Therefore: 1/285 Task: What is prob of picking 1 u, 1 t, and 1 v when three letters picked without replacement from {u: 6, c: 3, b: 2, v: 2, r: 1, t: 5}? Therefore: 20/323 Task: Four letters picked without replacement from lcllcltcltllllcclll. What is prob of picking 3 l and 1 t? Therefore: 110/969 Task: What is prob of picking 1 k, 1 n, and 1 l when three letters picked without replacement from {o: 1, g: 3, k: 4, n: 3, a: 2, l: 2}? Therefore: 24/455 Task: Calculate prob of picking 1 j and 3 i when four letters picked without replacement from {i: 5, j: 2, w: 1, p: 1}. Therefore: 10/63 Task: Two letters picked without replacement from boo. What is prob of picking 2 o? Therefore: 1/3 Task: Calculate prob of picking 2 f when two letters picked without replacement from {i: 1, t: 1, d: 5, f: 3, c: 1, x: 2}. Therefore: 1/26 Task: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {d: 1, h: 1, b: 1, s: 1, y: 1}. Therefore: 1/10 Task: Two letters picked without replacement from iiniiyygyny. Give prob of picking 1 g and 1 y. Therefore: 4/55 Task: Two letters picked without replacement from kdktodtdtdkddoo. Give prob of picking 2 d. Therefore: 1/7 Task: What is prob o
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numbers: is prime ----------------- Ask: Is 109860287 a composite number? Calculation: True Ask: Is 1102337 a prime number? Calculation: True Ask: Is 27604059591 prime? Calculation: False Ask: Is 485267 composite? Calculation: True Ask: Is 83588189 a composite number? Calculation: False Ask: Is 1457001599 a composite number? Calculation: True Ask: Is 1982135 a composite number? Calculation: True Ask: Is 391431611 prime? Calculation: True Ask: Is 373608953 prime? Calculation: False Ask: Is 11215 a prime number? Calculation: False Ask: Is 3982157 a composite number? Calculation: False Ask: Is 3219467 prime? Calculation: False Ask: Is 2261009 prime? Calculation: True Ask: Is 75413 a prime number? Calculation: False Ask: Is 7621 a prime number? Calculation: True Ask: Is 109049 a prime number? Calculation: True Ask: Is 4540062379 prime? Calculation: True Ask: Is 4663 a prime number? Calculation: True Ask: Is 407567 composite? Calculation: False Ask: Is 421615577 prime? Calculation: True Ask: Is 258985 a prime number? Calculation: False Ask: Is 10007 a prime number? Calculation: True Ask: Is 10903 prime? Calculation: True Ask: Is 13483668731 composite? Calculation: True Ask: Is 590635 prime? Calculation: False Ask: Is 983457931 a composite number? Calculation: True Ask: Is 103285306667 prime? Calculation: True Ask: Is 805588891 prime? Calculation: False Ask: Is 14899 prime? Calculation: False Ask: Is 61375773 prime? Calculation: False Ask: Is 403181 prime? Calculation: True Ask: Is 13112819 a composite number? Calculation: False Ask: Is 21210355219 prime? Calculation: True Ask: Is 40871 a composite number? Calculation: True Ask: Is 14987687173 prime? Calculation: False Ask: Is 56669 composite? Calculation: True Ask: Is 147000518437 a composite number? Calculation: False Ask: Is 35671 prime? Calculation: True Ask: Is 480843047 a prime number? Calculation: False Ask: Is 19319 prime? Calculation: True Ask: Is 165667 composite? Calculation: False Ask: Is 545681 prime? Calcula
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probability: swr p sequence --------------------------- Case: Four letters picked without replacement from suvuxrw. Give prob of sequence vvss. Sol: 0 Case: Three letters picked without replacement from {c: 2, w: 4, l: 9, m: 3}. What is prob of sequence lcc? Sol: 1/272 Case: What is prob of sequence gxt when three letters picked without replacement from tggjuugxkxjuukxxxgxk? Sol: 1/285 Case: Four letters picked without replacement from {w: 1, z: 3, m: 4, g: 3, q: 3, v: 2}. What is prob of sequence qwzq? Sol: 3/7280 Case: What is prob of sequence cscs when four letters picked without replacement from {c: 8, s: 3}? Sol: 7/165 Case: Three letters picked without replacement from {z: 1, b: 2, e: 3, q: 1, k: 4, c: 1}. Give prob of sequence zkc. Sol: 1/330 Case: Three letters picked without replacement from {p: 5, o: 2}. What is prob of sequence oop? Sol: 1/21 Case: Calculate prob of sequence jkj when three letters picked without replacement from {k: 10, j: 9}. Sol: 40/323 Case: Two letters picked without replacement from nldjdkdnnnjk. What is prob of sequence nk? Sol: 2/33 Case: Two letters picked without replacement from {p: 1, k: 1, j: 1, m: 1, r: 4}. Give prob of sequence kr. Sol: 1/14 Case: Two letters picked without replacement from yhye. What is prob of sequence yy? Sol: 1/6 Case: Calculate prob of sequence jo when two letters picked without replacement from ppogujxg. Sol: 1/56 Case: Two letters picked without replacement from hghghhhhhgg. Give prob of sequence gg. Sol: 6/55 Case: Calculate prob of sequence pjpj when four letters picked without replacement from kpppkjjxx. Sol: 1/252 Case: Three letters picked without replacement from sbb. What is prob of sequence sbb? Sol: 1/3 Case: Calculate prob of sequence wd when two letters picked without replacement from ddwiidizddddwdwddiz. Sol: 5/57 Case: What is prob of sequence fyvh when four letters picked without replacement from {v: 3, y: 1, h: 2, t: 3, i: 2, f: 1}? Sol: 1/1980 Case: What is prob of sequence kk when two
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numbers: div remainder ---------------------- Inquiry: What is the remainder when 490 is divided by 192? Key: 106 Inquiry: Calculate the remainder when 8758 is divided by 461. Key: 460 Inquiry: Calculate the remainder when 749341 is divided by 156. Key: 73 Inquiry: Calculate the remainder when 93656678 is divided by 337. Key: 334 Inquiry: Calculate the remainder when 848 is divided by 23. Key: 20 Inquiry: What is the remainder when 397206 is divided by 318? Key: 24 Inquiry: Calculate the remainder when 41799101 is divided by 64. Key: 61 Inquiry: What is the remainder when 49401 is divided by 591? Key: 348 Inquiry: What is the remainder when 346145 is divided by 168335? Key: 9475 Inquiry: What is the remainder when 204676 is divided by 1651? Key: 1603 Inquiry: Calculate the remainder when 111971 is divided by 2431. Key: 145 Inquiry: What is the remainder when 1899 is divided by 237? Key: 3 Inquiry: What is the remainder when 63112 is divided by 38? Key: 32 Inquiry: What is the remainder when 200883 is divided by 21? Key: 18 Inquiry: Calculate the remainder when 167846271 is divided by 22. Key: 21 Inquiry: What is the remainder when 9149514 is divided by 67? Key: 61 Inquiry: Calculate the remainder when 187 is divided by 150. Key: 37 Inquiry: Calculate the remainder when 482 is divided by 85. Key: 57 Inquiry: What is the remainder when 10101670 is divided by 306? Key: 304 Inquiry: What is the remainder when 81736 is divided by 239? Key: 237 Inquiry: Calculate the remainder when 21940214 is divided by 2561. Key: 127 Inquiry: Calculate the remainder when 56519 is divided by 24. Key: 23 Inquiry: What is the remainder when 65527 is divided by 108? Key: 79 Inquiry: What is the remainder when 171115 is divided by 2343? Key: 76 Inquiry: What is the remainder when 339 is divided by 124? Key: 91 Inquiry: Calculate the remainder when 264879 is divided by 220. Key: 219 Inquiry: What is the remainder when 855 is divided by 280? Key: 15 Inquiry: What is the remainder when 9542 is
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arithmetic: nearest integer root -------------------------------- What if: What is the cube root of 1508426283 to the nearest integer? β†’: 1147 What if: What is 1530 to the power of 1/2, to the nearest integer? β†’: 39 What if: What is 1523450411 to the power of 1/2, to the nearest integer? β†’: 39031 What if: What is the square root of 24624 to the nearest integer? β†’: 157 What if: What is 4192139 to the power of 1/8, to the nearest integer? β†’: 7 What if: What is 83213087 to the power of 1/3, to the nearest integer? β†’: 437 What if: What is 76141652 to the power of 1/2, to the nearest integer? β†’: 8726 What if: What is the sixth root of 517564 to the nearest integer? β†’: 9 What if: What is the fifth root of 1916 to the nearest integer? β†’: 5 What if: What is the fifth root of 2823590 to the nearest integer? β†’: 20 What if: What is 482647 to the power of 1/7, to the nearest integer? β†’: 6 What if: What is 387892470 to the power of 1/2, to the nearest integer? β†’: 19695 What if: What is the cube root of 23938081 to the nearest integer? β†’: 288 What if: What is the fourth root of 1091086 to the nearest integer? β†’: 32 What if: What is the third root of 1809 to the nearest integer? β†’: 12 What if: What is 1519847 to the power of 1/10, to the nearest integer? β†’: 4 What if: What is the tenth root of 4244408797 to the nearest integer? β†’: 9 What if: What is the eighth root of 4187 to the nearest integer? β†’: 3 What if: What is 1842272 to the power of 1/5, to the nearest integer? β†’: 18 What if: What is the square root of 291288059 to the nearest integer? β†’: 17067 What if: What is 97540606 to the power of 1/4, to the nearest integer? β†’: 99 What if: What is the sixth root of 1282 to the nearest integer? β†’: 3 What if: What is the cube root of 515 to the nearest integer? β†’: 8 What if: What is the square root of 2354964473 to the nearest integer? β†’: 48528 What if: What is the cube root of 39084 to the nearest integer? β†’: 34 What if: What is 2050 to the power of 1/8, to the nearest integer? β†’: 3
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numbers: div remainder ---------------------- Prompt: Calculate the remainder when 1023 is divided by 253. Result: 11 Prompt: What is the remainder when 3381 is divided by 1123? Result: 12 Prompt: Calculate the remainder when 919578 is divided by 741. Result: 738 Prompt: Calculate the remainder when 9659 is divided by 3549. Result: 2561 Prompt: Calculate the remainder when 3653071 is divided by 116. Result: 115 Prompt: Calculate the remainder when 1888545 is divided by 1326. Result: 321 Prompt: Calculate the remainder when 278 is divided by 10. Result: 8 Prompt: Calculate the remainder when 48967 is divided by 12146. Result: 383 Prompt: What is the remainder when 989 is divided by 127? Result: 100 Prompt: What is the remainder when 78204 is divided by 8688? Result: 12 Prompt: What is the remainder when 650 is divided by 109? Result: 105 Prompt: What is the remainder when 223766 is divided by 30? Result: 26 Prompt: What is the remainder when 440 is divided by 49? Result: 48 Prompt: What is the remainder when 7773146 is divided by 326? Result: 2 Prompt: What is the remainder when 5015 is divided by 13? Result: 10 Prompt: Calculate the remainder when 993 is divided by 71. Result: 70 Prompt: What is the remainder when 4344771 is divided by 658? Result: 655 Prompt: What is the remainder when 33020099 is divided by 1101? Result: 8 Prompt: Calculate the remainder when 710141 is divided by 15. Result: 11 Prompt: What is the remainder when 16034 is divided by 4006? Result: 10 Prompt: What is the remainder when 671 is divided by 37? Result: 5 Prompt: Calculate the remainder when 191249 is divided by 5150. Result: 699 Prompt: Calculate the remainder when 89097 is divided by 256. Result: 9 Prompt: Calculate the remainder when 3281196 is divided by 1093648. Result: 252 Prompt: Calculate the remainder when 1755961 is divided by 1961. Result: 866 Prompt: Calculate the remainder when 16801808 is divided by 2265. Result: 38 Prompt: Calculate the remainder when 37 is divided by 12. R
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numbers: place value -------------------- Puzzle: What is the millions digit of 5276817? Key: 5 Puzzle: What is the thousands digit of 4399003347? Key: 3 Puzzle: What is the units digit of 370? Key: 0 Puzzle: What is the tens digit of 2560? Key: 6 Puzzle: What is the thousands digit of 965700? Key: 5 Puzzle: What is the thousands digit of 268251? Key: 8 Puzzle: What is the hundreds digit of 1480171? Key: 1 Puzzle: What is the thousands digit of 28619929? Key: 9 Puzzle: What is the tens digit of 2159371? Key: 7 Puzzle: What is the ten millions digit of 828934659? Key: 2 Puzzle: What is the millions digit of 10233990? Key: 0 Puzzle: What is the tens digit of 6630? Key: 3 Puzzle: What is the hundred millions digit of 227998114? Key: 2 Puzzle: What is the tens digit of 6591172? Key: 7 Puzzle: What is the tens digit of 96639542? Key: 4 Puzzle: What is the units digit of 644? Key: 4 Puzzle: What is the hundreds digit of 17323487? Key: 4 Puzzle: What is the hundred millions digit of 273575824? Key: 2 Puzzle: What is the units digit of 7881? Key: 1 Puzzle: What is the hundreds digit of 430769? Key: 7 Puzzle: What is the ten thousands digit of 586946? Key: 8 Puzzle: What is the hundred thousands digit of 1398043? Key: 3 Puzzle: What is the ten thousands digit of 537012527? Key: 1 Puzzle: What is the units digit of 512253? Key: 3 Puzzle: What is the hundred thousands digit of 386169? Key: 3 Puzzle: What is the units digit of 127068526? Key: 6 Puzzle: What is the thousands digit of 5785? Key: 5 Puzzle: What is the tens digit of 863097? Key: 9 Puzzle: What is the hundreds digit of 10245? Key: 2 Puzzle: What is the hundred thousands digit of 42947278? Key: 9 Puzzle: What is the ten thousands digit of 18739? Key: 1 Puzzle: What is the hundreds digit of 472? Key: 4 Puzzle: What is the hundreds digit of 451322? Key: 3 Puzzle: What is the millions digit of 5762734? Key: 5 Puzzle: What is the units digit of 16084? Key: 4 Puzzle: What is the millions digit of 4492826005? Key: 2 Puzzle
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numbers: gcd ------------ Math Problem: What is the highest common factor of 1010 and 2929? Sol: 101 Math Problem: What is the greatest common divisor of 8805 and 855? Sol: 15 Math Problem: What is the greatest common divisor of 91 and 217? Sol: 7 Math Problem: Calculate the highest common factor of 2768 and 28026. Sol: 346 Math Problem: What is the highest common divisor of 5149 and 813? Sol: 271 Math Problem: What is the highest common factor of 3263139 and 261657? Sol: 297 Math Problem: What is the highest common divisor of 170710307 and 95? Sol: 19 Math Problem: What is the greatest common divisor of 85 and 2898211? Sol: 17 Math Problem: Calculate the greatest common divisor of 87656 and 325384. Sol: 8 Math Problem: What is the highest common factor of 61160 and 95948920? Sol: 5560 Math Problem: Calculate the highest common divisor of 3 and 96. Sol: 3 Math Problem: Calculate the greatest common factor of 42 and 153501446. Sol: 14 Math Problem: What is the highest common factor of 598 and 23? Sol: 23 Math Problem: Calculate the greatest common divisor of 40259 and 35941. Sol: 127 Math Problem: What is the greatest common factor of 10751040 and 1152? Sol: 576 Math Problem: Calculate the greatest common divisor of 1239546 and 3696. Sol: 462 Math Problem: Calculate the greatest common divisor of 60 and 6144. Sol: 12 Math Problem: What is the greatest common divisor of 2888 and 44? Sol: 4 Math Problem: What is the highest common factor of 25289 and 64863623? Sol: 1331 Math Problem: Calculate the highest common factor of 14072 and 96. Sol: 8 Math Problem: What is the greatest common factor of 544 and 1054? Sol: 34 Math Problem: What is the highest common divisor of 95 and 80? Sol: 5 Math Problem: Calculate the highest common factor of 752 and 470. Sol: 94 Math Problem: Calculate the highest common divisor of 3080 and 4025. Sol: 35 Math Problem: Calculate the highest common divisor of 1 and 8669. Sol: 1 Math Problem: Calculate the greatest common factor of 133 and 6158
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numbers: gcd ------------ Prompt: Calculate the highest common divisor of 100 and 94100. Solution: 100 Prompt: Calculate the highest common divisor of 21 and 147. Solution: 21 Prompt: What is the highest common factor of 6171 and 1936? Solution: 121 Prompt: What is the highest common divisor of 363 and 2261369? Solution: 121 Prompt: What is the highest common divisor of 28296 and 144? Solution: 72 Prompt: What is the greatest common factor of 21 and 861? Solution: 21 Prompt: What is the highest common divisor of 21667 and 47? Solution: 47 Prompt: Calculate the greatest common factor of 156 and 23724. Solution: 12 Prompt: Calculate the highest common factor of 1032275 and 535. Solution: 5 Prompt: Calculate the greatest common divisor of 8368755 and 9. Solution: 3 Prompt: Calculate the highest common divisor of 925 and 9565425. Solution: 925 Prompt: Calculate the highest common factor of 3029345 and 55. Solution: 55 Prompt: What is the highest common factor of 10 and 29030? Solution: 10 Prompt: What is the highest common factor of 13135337 and 2402? Solution: 1201 Prompt: What is the highest common divisor of 316751255 and 26380? Solution: 6595 Prompt: Calculate the highest common factor of 35756 and 217. Solution: 7 Prompt: Calculate the highest common factor of 240 and 563568. Solution: 48 Prompt: What is the greatest common factor of 21 and 22581? Solution: 3 Prompt: Calculate the greatest common factor of 429 and 476905. Solution: 143 Prompt: What is the highest common factor of 23660 and 227812? Solution: 676 Prompt: What is the highest common factor of 4265 and 202395? Solution: 5 Prompt: What is the highest common factor of 2 and 298893? Solution: 1 Prompt: Calculate the highest common divisor of 96 and 300. Solution: 12 Prompt: What is the highest common divisor of 11110 and 43692? Solution: 22 Prompt: What is the greatest common divisor of 33 and 6886? Solution: 11 Prompt: What is the greatest common divisor of 1223157 and 26? Solution: 13 Prompt: What is the
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numbers: place value -------------------- Subject: What is the thousands digit of 485115? Explanation: 5 Subject: What is the hundreds digit of 372765860? Explanation: 8 Subject: What is the tens digit of 7385? Explanation: 8 Subject: What is the hundred millions digit of 1190983330? Explanation: 1 Subject: What is the tens digit of 71003? Explanation: 0 Subject: What is the units digit of 53889? Explanation: 9 Subject: What is the tens digit of 113867? Explanation: 6 Subject: What is the units digit of 2182524808? Explanation: 8 Subject: What is the units digit of 559? Explanation: 9 Subject: What is the tens digit of 778892? Explanation: 9 Subject: What is the ten millions digit of 57861589? Explanation: 5 Subject: What is the thousands digit of 44309? Explanation: 4 Subject: What is the ten millions digit of 166958754? Explanation: 6 Subject: What is the tens digit of 5577? Explanation: 7 Subject: What is the millions digit of 1916238872? Explanation: 6 Subject: What is the units digit of 879? Explanation: 9 Subject: What is the ten millions digit of 30160456? Explanation: 3 Subject: What is the tens digit of 6931? Explanation: 3 Subject: What is the ten millions digit of 41054527? Explanation: 4 Subject: What is the units digit of 1066348? Explanation: 8 Subject: What is the hundreds digit of 1989739? Explanation: 7 Subject: What is the units digit of 4297292089? Explanation: 9 Subject: What is the units digit of 887197? Explanation: 7 Subject: What is the hundred thousands digit of 251172832? Explanation: 1 Subject: What is the hundred millions digit of 805724687? Explanation: 8 Subject: What is the hundred thousands digit of 545554553? Explanation: 5 Subject: What is the tens digit of 126245? Explanation: 4 Subject: What is the tens digit of 1934? Explanation: 3 Subject: What is the tens digit of 310193050? Explanation: 5 Subject: What is the thousands digit of 579790305? Explanation: 0 Subject: What is the thousands digit of 1375475? Explanation: 5 Subject: W
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numbers: place value -------------------- Q/A: What is the ten thousands digit of 57048116? Finding: 4 Q/A: What is the units digit of 6141? Finding: 1 Q/A: What is the hundred thousands digit of 697831? Finding: 6 Q/A: What is the hundreds digit of 559? Finding: 5 Q/A: What is the tens digit of 52995? Finding: 9 Q/A: What is the hundred thousands digit of 618331? Finding: 6 Q/A: What is the ten millions digit of 1238313567? Finding: 3 Q/A: What is the ten thousands digit of 2132835? Finding: 3 Q/A: What is the ten thousands digit of 29575? Finding: 2 Q/A: What is the ten thousands digit of 1214906? Finding: 1 Q/A: What is the units digit of 1368336890? Finding: 0 Q/A: What is the thousands digit of 7985? Finding: 7 Q/A: What is the thousands digit of 1559603067? Finding: 3 Q/A: What is the ten thousands digit of 108885? Finding: 0 Q/A: What is the thousands digit of 22821? Finding: 2 Q/A: What is the ten millions digit of 30349984? Finding: 3 Q/A: What is the ten thousands digit of 102778? Finding: 0 Q/A: What is the ten thousands digit of 235716? Finding: 3 Q/A: What is the ten thousands digit of 1653666? Finding: 5 Q/A: What is the hundreds digit of 1179886? Finding: 8 Q/A: What is the hundreds digit of 532907? Finding: 9 Q/A: What is the units digit of 999? Finding: 9 Q/A: What is the tens digit of 2487? Finding: 8 Q/A: What is the millions digit of 12397289? Finding: 2 Q/A: What is the ten thousands digit of 669420157? Finding: 2 Q/A: What is the hundred thousands digit of 368871994? Finding: 8 Q/A: What is the hundred thousands digit of 6820904028? Finding: 9 Q/A: What is the thousands digit of 9094284? Finding: 4 Q/A: What is the ten thousands digit of 3461858062? Finding: 5 Q/A: What is the units digit of 10823? Finding: 3 Q/A: What is the ten millions digit of 33240098? Finding: 3 Q/A: What is the thousands digit of 878239? Finding: 8 Q/A: What is the billions digit of 4296755873? Finding: 4 Q/A: What is the hundred thousands digit of 141037558? Finding: 0
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numbers: is factor ------------------ Subject: Does 4 divide 39535356? Result: True Subject: Does 9 divide 149980? Result: False Subject: Is 1559 a factor of 18796863? Result: True Subject: Is 970 a multiple of 90? Result: False Subject: Is 65 a multiple of 25? Result: False Subject: Is 65 a factor of 1229? Result: False Subject: Does 36 divide 232521876? Result: True Subject: Is 62210995 a multiple of 5? Result: True Subject: Is 761139 a multiple of 2? Result: False Subject: Is 18 a factor of 201401566? Result: False Subject: Is 224 a multiple of 16? Result: True Subject: Is 58 a factor of 2164710162? Result: True Subject: Is 34 a factor of 95064? Result: True Subject: Is 774 a multiple of 129? Result: True Subject: Does 21 divide 30954? Result: True Subject: Is 6471 even? Result: False Subject: Does 618 divide 10116042? Result: True Subject: Is 3184 a multiple of 11? Result: False Subject: Does 1327 divide 509730743? Result: False Subject: Is 821846160 a multiple of 120? Result: True Subject: Is 481986294 a multiple of 1010? Result: False Subject: Is 486 a factor of 55890? Result: True Subject: Is 14 a factor of 1455440? Result: True Subject: Is 34536 a multiple of 12? Result: True Subject: Does 587 divide 4556294? Result: True Subject: Is 485 a factor of 881170137? Result: False Subject: Is 8438683 a multiple of 58? Result: False Subject: Does 67 divide 2747? Result: True Subject: Is 9333 a factor of 931872051? Result: True Subject: Is 16 a factor of 612? Result: False Subject: Is 2096 a multiple of 99? Result: False Subject: Is 21729 a multiple of 5? Result: False Subject: Does 10 divide 28629920? Result: True Subject: Does 9 divide 3674340? Result: True Subject: Does 170 divide 551011? Result: False Subject: Does 20 divide 776608? Result: False Subject: Is 78 a factor of 1060805538? Result: True Subject: Is 20 a factor of 2509? Result: False Subject: Is 13 a factor of 107991? Result: True Subject: Is 3600716 a multiple of 196? Result: True Subject: Is 23 a fact
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numbers: is prime ----------------- Subquestion: Is 1473677407 composite? Soln: False Subquestion: Is 131503 prime? Soln: False Subquestion: Is 11163949 composite? Soln: False Subquestion: Is 86186 a prime number? Soln: False Subquestion: Is 3221 a prime number? Soln: True Subquestion: Is 47309851 composite? Soln: False Subquestion: Is 617017 a prime number? Soln: False Subquestion: Is 49485135227 a composite number? Soln: True Subquestion: Is 2196577 a prime number? Soln: False Subquestion: Is 97394330107 composite? Soln: False Subquestion: Is 239976629 prime? Soln: False Subquestion: Is 26139 a prime number? Soln: False Subquestion: Is 8803 a composite number? Soln: False Subquestion: Is 233021 a prime number? Soln: True Subquestion: Is 3683 prime? Soln: False Subquestion: Is 610103921 a composite number? Soln: True Subquestion: Is 197866807 a prime number? Soln: True Subquestion: Is 298162262 a composite number? Soln: True Subquestion: Is 1522311821 a composite number? Soln: False Subquestion: Is 155123 a prime number? Soln: False Subquestion: Is 726061 prime? Soln: False Subquestion: Is 244831099 prime? Soln: True Subquestion: Is 28754414049 composite? Soln: True Subquestion: Is 645350403 composite? Soln: True Subquestion: Is 247613 composite? Soln: False Subquestion: Is 18329 a composite number? Soln: False Subquestion: Is 40879 a composite number? Soln: False Subquestion: Is 3773972933 composite? Soln: True Subquestion: Is 52335312577 a prime number? Soln: False Subquestion: Is 45303 a composite number? Soln: True Subquestion: Is 2965601 prime? Soln: True Subquestion: Is 197146 prime? Soln: False Subquestion: Is 6476529403 composite? Soln: False Subquestion: Is 2360340389 a composite number? Soln: True Subquestion: Is 369407 a prime number? Soln: True Subquestion: Is 867524353 composite? Soln: False Subquestion: Is 40237740787 a composite number? Soln: True Subquestion: Is 108805591 a prime number? Soln: False Subquestion: Is 315089317 a prime number? Soln: Tr
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numbers: place value -------------------- Test item: What is the hundred thousands digit of 13938284? Calculation: 9 Test item: What is the hundreds digit of 10672? Calculation: 6 Test item: What is the units digit of 37044? Calculation: 4 Test item: What is the units digit of 2029? Calculation: 9 Test item: What is the hundred thousands digit of 205621? Calculation: 2 Test item: What is the ten thousands digit of 41908690? Calculation: 0 Test item: What is the units digit of 5968? Calculation: 8 Test item: What is the thousands digit of 17312670? Calculation: 2 Test item: What is the thousands digit of 1715005? Calculation: 5 Test item: What is the hundred thousands digit of 102402539? Calculation: 4 Test item: What is the thousands digit of 645665? Calculation: 5 Test item: What is the tens digit of 22088482? Calculation: 8 Test item: What is the ten thousands digit of 101214? Calculation: 0 Test item: What is the thousands digit of 3986610? Calculation: 6 Test item: What is the hundred millions digit of 387936338? Calculation: 3 Test item: What is the ten thousands digit of 15799? Calculation: 1 Test item: What is the thousands digit of 73960? Calculation: 3 Test item: What is the ten thousands digit of 38017? Calculation: 3 Test item: What is the ten thousands digit of 1663695966? Calculation: 9 Test item: What is the ten thousands digit of 45917758? Calculation: 1 Test item: What is the ten thousands digit of 88151? Calculation: 8 Test item: What is the units digit of 4823? Calculation: 3 Test item: What is the hundreds digit of 86665? Calculation: 6 Test item: What is the units digit of 18479? Calculation: 9 Test item: What is the ten thousands digit of 809027790? Calculation: 2 Test item: What is the millions digit of 25429215? Calculation: 5 Test item: What is the hundreds digit of 215136? Calculation: 1 Test item: What is the ten millions digit of 1236713173? Calculation: 3 Test item: What is the tens digit of 99465? Calculation: 6 Test item: What is the hu
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numbers: place value -------------------- Task: What is the thousands digit of 8095? Interpretation: 8 Task: What is the ten thousands digit of 21701? Interpretation: 2 Task: What is the tens digit of 20351? Interpretation: 5 Task: What is the hundreds digit of 4747582? Interpretation: 5 Task: What is the units digit of 1177184123? Interpretation: 3 Task: What is the units digit of 821379? Interpretation: 9 Task: What is the hundred thousands digit of 605847307? Interpretation: 8 Task: What is the ten millions digit of 107698078? Interpretation: 0 Task: What is the millions digit of 37895030? Interpretation: 7 Task: What is the tens digit of 3240? Interpretation: 4 Task: What is the units digit of 638828? Interpretation: 8 Task: What is the hundred millions digit of 2145307757? Interpretation: 1 Task: What is the tens digit of 105909134? Interpretation: 3 Task: What is the tens digit of 245? Interpretation: 4 Task: What is the thousands digit of 4119? Interpretation: 4 Task: What is the hundred thousands digit of 272612? Interpretation: 2 Task: What is the millions digit of 422475255? Interpretation: 2 Task: What is the hundreds digit of 742? Interpretation: 7 Task: What is the hundreds digit of 5494? Interpretation: 4 Task: What is the units digit of 32252? Interpretation: 2 Task: What is the tens digit of 50356? Interpretation: 5 Task: What is the tens digit of 75950961? Interpretation: 6 Task: What is the thousands digit of 299421105? Interpretation: 1 Task: What is the hundred thousands digit of 17201415? Interpretation: 2 Task: What is the tens digit of 14032? Interpretation: 3 Task: What is the tens digit of 380795714? Interpretation: 1 Task: What is the millions digit of 2467654? Interpretation: 2 Task: What is the hundred thousands digit of 44441277? Interpretation: 4 Task: What is the units digit of 4817? Interpretation: 7 Task: What is the hundred thousands digit of 4439609309? Interpretation: 6 Task: What is the hundreds digit of 767? Interpretation: 7 Ta
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measurement: conversion ----------------------- Example: What is 1/6 of a year in months? A: 2 Example: What is one tenth of a millimeter in micrometers? A: 100 Example: How many seconds are there in 6275.9 hours? A: 22593240 Example: What is 31/2 of a millimeter in micrometers? A: 15500 Example: How many nanometers are there in fourty-seven quarters of a micrometer? A: 11750 Example: Convert 8.598994 millilitres to litres. A: 0.008598994 Example: What is 45/4 of a milligram in micrograms? A: 11250 Example: What is 1/4 of a milligram in micrograms? A: 250 Example: How many milligrams are there in one tenth of a gram? A: 100 Example: How many kilometers are there in 7434.848m? A: 7.434848 Example: What is three eighths of a litre in millilitres? A: 375 Example: What is 6/25 of a litre in millilitres? A: 240 Example: How many micrograms are there in 19870.21kg? A: 19870210000000 Example: How many centuries are there in 58564.91 millennia? A: 585649.1 Example: How many millilitres are there in 26/5 of a litre? A: 5200 Example: How many micrograms are there in one fifth of a milligram? A: 200 Example: What is six fifths of a microsecond in nanoseconds? A: 1200 Example: What is seventeen halves of a gram in milligrams? A: 8500 Example: What is 64.93234 millilitres in litres? A: 0.06493234 Example: How many seconds are there in seven quarters of a hour? A: 6300 Example: Convert 76875.85cm to micrometers. A: 768758500 Example: How many minutes are there in 7/18 of a week? A: 3920 Example: What is three fifths of a kilometer in centimeters? A: 60000 Example: How many months are there in 2/75 of a millennium? A: 320 Example: How many centuries are there in 69575.34 decades? A: 6957.534 Example: How many nanometers are there in 17/2 of a micrometer? A: 8500 Example: What is 74408.29um in millimeters? A: 74.40829 Example: How many nanometers are there in 0.4301703 millimeters? A: 430170.3 Example: What is 1/60 of a century in months? A: 20 Example: What is 4278.341 centuries i
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probability: swr p level set ---------------------------- Question: Calculate prob of picking 1 q and 3 t when four letters picked without replacement from tvvtqytuyyqqvyb. Calculation: 1/455 Question: Two letters picked without replacement from {z: 7, i: 6}. Give prob of picking 2 z. Calculation: 7/26 Question: Three letters picked without replacement from eqeeqqenneqeeeqnqeq. Give prob of picking 2 q and 1 n. Calculation: 21/323 Question: Four letters picked without replacement from yxylxlyyxyxyllxxlll. Give prob of picking 1 x and 3 y. Calculation: 10/323 Question: Calculate prob of picking 1 i, 1 l, and 1 s when three letters picked without replacement from {q: 6, s: 2, l: 3, k: 1, i: 4, c: 2}. Calculation: 1/34 Question: Three letters picked without replacement from {a: 2, m: 2, y: 1, e: 7, l: 2, z: 2}. What is prob of picking 1 z and 2 e? Calculation: 3/40 Question: What is prob of picking 2 p when two letters picked without replacement from scppdcdcggci? Calculation: 1/66 Question: Two letters picked without replacement from {t: 3, x: 2}. What is prob of picking 2 t? Calculation: 3/10 Question: What is prob of picking 2 q and 2 r when four letters picked without replacement from {r: 9, q: 2, b: 7}? Calculation: 1/85 Question: What is prob of picking 1 b, 1 c, and 2 f when four letters picked without replacement from {c: 3, t: 7, f: 2, j: 1, b: 4}? Calculation: 3/595 Question: Calculate prob of picking 1 g and 2 r when three letters picked without replacement from rrrrrmmrmrrgrrr. Calculation: 11/91 Question: Calculate prob of picking 3 f when three letters picked without replacement from meffeeemeffe. Calculation: 1/55 Question: Calculate prob of picking 2 p and 2 u when four letters picked without replacement from uzupmppzifmffzuf. Calculation: 9/1820 Question: Calculate prob of picking 1 b, 1 v, and 1 s when three letters picked without replacement from {s: 4, b: 7, f: 3, t: 3, v: 1}. Calculation: 7/204 Question: Two letters picked without replacement from
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numbers: gcd ------------ Problem #: Calculate the highest common divisor of 35437167 and 59607. Outcome: 1611 Problem #: What is the greatest common divisor of 444 and 1184? Outcome: 148 Problem #: What is the highest common divisor of 1458 and 759303? Outcome: 9 Problem #: What is the highest common factor of 431018 and 66334? Outcome: 34 Problem #: What is the greatest common factor of 107875 and 750? Outcome: 125 Problem #: Calculate the highest common factor of 7 and 242242. Outcome: 7 Problem #: Calculate the greatest common divisor of 97 and 413823922. Outcome: 97 Problem #: What is the greatest common divisor of 70 and 1022? Outcome: 14 Problem #: What is the highest common factor of 275151 and 19434? Outcome: 123 Problem #: What is the greatest common factor of 17533 and 267? Outcome: 89 Problem #: Calculate the highest common divisor of 57 and 24. Outcome: 3 Problem #: Calculate the greatest common factor of 117 and 6986655. Outcome: 117 Problem #: What is the greatest common divisor of 39136412 and 28? Outcome: 28 Problem #: What is the highest common factor of 4078 and 2? Outcome: 2 Problem #: Calculate the greatest common divisor of 54 and 631934487. Outcome: 27 Problem #: What is the highest common factor of 2056 and 7151282? Outcome: 514 Problem #: Calculate the highest common divisor of 36 and 9. Outcome: 9 Problem #: Calculate the highest common factor of 115 and 4280737. Outcome: 23 Problem #: Calculate the highest common divisor of 711 and 36. Outcome: 9 Problem #: What is the highest common factor of 84 and 14514892? Outcome: 28 Problem #: Calculate the greatest common factor of 657555 and 708. Outcome: 177 Problem #: Calculate the highest common factor of 25326928 and 8272. Outcome: 176 Problem #: What is the greatest common factor of 759 and 414? Outcome: 69 Problem #: What is the highest common divisor of 60 and 225? Outcome: 15 Problem #: What is the highest common factor of 26195 and 465? Outcome: 155 Problem #: Calculate the highest common
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measurement: time ----------------- Ask: What is 641 minutes before 2:47 AM? Yields: 4:06 PM Ask: How many minutes are there between 10:15 PM and 5:52 AM? Yields: 457 Ask: What is 620 minutes after 4:25 AM? Yields: 2:45 PM Ask: What is 678 minutes before 6:19 AM? Yields: 7:01 PM Ask: How many minutes are there between 4:55 PM and 12:29 AM? Yields: 454 Ask: How many minutes are there between 4:08 PM and 9:08 PM? Yields: 300 Ask: How many minutes are there between 12:51 PM and 6:45 PM? Yields: 354 Ask: How many minutes are there between 3:25 AM and 8:18 AM? Yields: 293 Ask: How many minutes are there between 3:01 AM and 3:37 AM? Yields: 36 Ask: What is 165 minutes before 12:16 PM? Yields: 9:31 AM Ask: How many minutes are there between 3:14 AM and 1:05 PM? Yields: 591 Ask: What is 136 minutes before 10:02 PM? Yields: 7:46 PM Ask: What is 428 minutes before 6:11 AM? Yields: 11:03 PM Ask: What is 296 minutes before 2:01 PM? Yields: 9:05 AM Ask: How many minutes are there between 2:55 AM and 10:19 AM? Yields: 444 Ask: How many minutes are there between 3:56 PM and 5:33 PM? Yields: 97 Ask: How many minutes are there between 1:21 AM and 12:05 PM? Yields: 644 Ask: What is 454 minutes before 7:09 PM? Yields: 11:35 AM Ask: What is 646 minutes after 8:06 PM? Yields: 6:52 AM Ask: What is 322 minutes before 6:21 AM? Yields: 12:59 AM Ask: What is 291 minutes before 5:45 PM? Yields: 12:54 PM Ask: What is 283 minutes after 3:17 PM? Yields: 8:00 PM Ask: What is 675 minutes before 8:43 AM? Yields: 9:28 PM Ask: What is 353 minutes after 5:14 AM? Yields: 11:07 AM Ask: What is 320 minutes before 12:27 AM? Yields: 7:07 PM Ask: How many minutes are there between 8:18 PM and 4:08 AM? Yields: 470 Ask: How many minutes are there between 12:05 PM and 12:41 PM? Yields: 36 Ask: How many minutes are there between 3:22 PM and 1:53 AM? Yields: 631 Ask: What is 315 minutes before 11:52 AM? Yields: 6:37 AM Ask: What is 700 minutes after 11:57 AM? Yields: 11:37 PM Ask: How many minutes are there betw
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arithmetic: nearest integer root -------------------------------- Q=: What is the third root of 1265971871 to the nearest integer? Resolution: 1082 Q=: What is the ninth root of 42741 to the nearest integer? Resolution: 3 Q=: What is 25059 to the power of 1/10, to the nearest integer? Resolution: 3 Q=: What is 2376 to the power of 1/2, to the nearest integer? Resolution: 49 Q=: What is 3488430085 to the power of 1/2, to the nearest integer? Resolution: 59063 Q=: What is 29341 to the power of 1/4, to the nearest integer? Resolution: 13 Q=: What is the fifth root of 138885 to the nearest integer? Resolution: 11 Q=: What is 1278804 to the power of 1/4, to the nearest integer? Resolution: 34 Q=: What is the cube root of 31876958 to the nearest integer? Resolution: 317 Q=: What is the ninth root of 62348 to the nearest integer? Resolution: 3 Q=: What is the third root of 227817 to the nearest integer? Resolution: 61 Q=: What is the eighth root of 247279729 to the nearest integer? Resolution: 11 Q=: What is the tenth root of 3182259327 to the nearest integer? Resolution: 9 Q=: What is 12351723 to the power of 1/4, to the nearest integer? Resolution: 59 Q=: What is the third root of 56641 to the nearest integer? Resolution: 38 Q=: What is the square root of 628 to the nearest integer? Resolution: 25 Q=: What is the sixth root of 903 to the nearest integer? Resolution: 3 Q=: What is the square root of 362529 to the nearest integer? Resolution: 602 Q=: What is 1151668934 to the power of 1/3, to the nearest integer? Resolution: 1048 Q=: What is 510777741 to the power of 1/4, to the nearest integer? Resolution: 150 Q=: What is the tenth root of 7507 to the nearest integer? Resolution: 2 Q=: What is 91517242 to the power of 1/2, to the nearest integer? Resolution: 9566 Q=: What is 58143220 to the power of 1/4, to the nearest integer? Resolution: 87 Q=: What is the seventh root of 11 to the nearest integer? Resolution: 1 Q=: What is the square root of 1588232 to the nearest inte
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numbers: lcm ------------ Prompt: Calculate the lowest common multiple of 3955 and 3164. Final Answer: 15820 Prompt: Calculate the common denominator of -19/170 and 107/84. Final Answer: 7140 Prompt: What is the common denominator of 77/75276 and 43/551286? Final Answer: 18743724 Prompt: Calculate the common denominator of 11/4428 and 145/4875228. Final Answer: 4875228 Prompt: Find the common denominator of 25/2 and 32/105. Final Answer: 210 Prompt: Find the common denominator of 43/1373498 and 57/1666. Final Answer: 9614486 Prompt: What is the common denominator of -37/319 and -71/957? Final Answer: 957 Prompt: Calculate the common denominator of 127/210 and 89/360. Final Answer: 2520 Prompt: What is the smallest common multiple of 9 and 5898081? Final Answer: 17694243 Prompt: Find the common denominator of -72/15295 and -67/120365. Final Answer: 2768395 Prompt: What is the common denominator of -73/73404 and -43/53604? Final Answer: 109298556 Prompt: Calculate the common denominator of -61/564 and 19/222. Final Answer: 20868 Prompt: Calculate the lowest common multiple of 62 and 9. Final Answer: 558 Prompt: What is the smallest common multiple of 51 and 135? Final Answer: 2295 Prompt: Calculate the common denominator of -111/1288 and -139/11270. Final Answer: 45080 Prompt: What is the lowest common multiple of 28 and 163415? Final Answer: 653660 Prompt: Calculate the common denominator of 24/494401 and 9/2. Final Answer: 988802 Prompt: What is the common denominator of 41/12 and 49/513? Final Answer: 2052 Prompt: What is the least common multiple of 9 and 728199? Final Answer: 728199 Prompt: Calculate the common denominator of -103/4952010 and -79/525. Final Answer: 24760050 Prompt: What is the lowest common multiple of 20400 and 54? Final Answer: 183600 Prompt: What is the common denominator of -43/162 and 19/24? Final Answer: 648 Prompt: Find the common denominator of -3/4387 and 31/35096. Final Answer: 35096 Prompt: Calculate the lowest common multiple of 1960
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numbers: place value -------------------- Qn: What is the billions digit of 1208101565? Solution: 1 Qn: What is the hundred thousands digit of 3689611838? Solution: 6 Qn: What is the millions digit of 7821194? Solution: 7 Qn: What is the ten thousands digit of 827791452? Solution: 9 Qn: What is the ten millions digit of 25755754? Solution: 2 Qn: What is the tens digit of 221611? Solution: 1 Qn: What is the thousands digit of 1426? Solution: 1 Qn: What is the millions digit of 30860640? Solution: 0 Qn: What is the hundred thousands digit of 414968? Solution: 4 Qn: What is the units digit of 6133? Solution: 3 Qn: What is the tens digit of 129226? Solution: 2 Qn: What is the hundred thousands digit of 629717197? Solution: 7 Qn: What is the units digit of 2375? Solution: 5 Qn: What is the tens digit of 137675? Solution: 7 Qn: What is the hundreds digit of 98636? Solution: 6 Qn: What is the thousands digit of 141540? Solution: 1 Qn: What is the thousands digit of 17562715? Solution: 2 Qn: What is the hundreds digit of 6312704? Solution: 7 Qn: What is the tens digit of 5994? Solution: 9 Qn: What is the hundreds digit of 21936? Solution: 9 Qn: What is the thousands digit of 69838671? Solution: 8 Qn: What is the tens digit of 801? Solution: 0 Qn: What is the hundreds digit of 16406662? Solution: 6 Qn: What is the units digit of 13? Solution: 3 Qn: What is the tens digit of 234041160? Solution: 6 Qn: What is the tens digit of 222201? Solution: 0 Qn: What is the thousands digit of 18781? Solution: 8 Qn: What is the units digit of 18940? Solution: 0 Qn: What is the hundred millions digit of 397381736? Solution: 3 Qn: What is the ten thousands digit of 36422? Solution: 3 Qn: What is the thousands digit of 199243? Solution: 9 Qn: What is the hundreds digit of 115195? Solution: 1 Qn: What is the millions digit of 3282189? Solution: 3 Qn: What is the hundreds digit of 44233? Solution: 2 Qn: What is the ten thousands digit of 34051? Solution: 3 Qn: What is the ten thousands digit o
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