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numbers: is factor ------------------ Given: Is 10885716 a multiple of 1198? Explanation: False Given: Is 92242513 a multiple of 127? Explanation: True Given: Does 39 divide 28675? Explanation: False Given: Is 23 a factor of 389321? Explanation: True Given: Is 24 a factor of 1127? Explanation: False Given: Is 78 a factor of 3601? Explanation: False Given: Is 29973921 a multiple of 141? Explanation: True Given: Does 11 divide 19107? Explanation: True Given: Is 115 a factor of 2364068? Explanation: False Given: Is 35 a factor of 5390? Explanation: True Given: Is 113610 a multiple of 105? Explanation: True Given: Is 239265194 a multiple of 206? Explanation: False Given: Is 2319 a factor of 788269022? Explanation: False Given: Is 30 a factor of 3170100? Explanation: True Given: Is 78 a factor of 1622? Explanation: False Given: Is 9 a factor of 3502035? Explanation: True Given: Is 1481 a multiple of 7? Explanation: False Given: Is 52587282 a multiple of 13? Explanation: False Given: Is 120 a factor of 913? Explanation: False Given: Is 3496654 a multiple of 3? Explanation: False Given: Is 650912 a multiple of 32? Explanation: True Given: Is 99 a factor of 167223474? Explanation: True Given: Does 27 divide 1350456? Explanation: False Given: Is 244157885 a multiple of 2623? Explanation: False Given: Is 739 a factor of 1849833? Explanation: False Given: Does 2 divide 1359? Explanation: False Given: Does 28 divide 1450? Explanation: False Given: Is 14 a factor of 103466? Explanation: False Given: Does 36 divide 117936? Explanation: True Given: Is 25117 a multiple of 93? Explanation: False Given: Is 1656216 a multiple of 241? Explanation: False Given: Is 147 a factor of 602203045? Explanation: False Given: Does 15 divide 2357? Explanation: False Given: Does 4 divide 1395? Explanation: False Given: Is 419 a factor of 1836477? Explanation: True Given: Is 352599 a multiple of 2? Explanation: False Given: Is 60 a factor of 840223? Explanation: False Given: Is 362010 a multiple of
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numbers: lcm ------------ Question: What is the common denominator of -103/105 and 137/3402? Resolution: 17010 Question: What is the common denominator of -49/648 and -67/144? Resolution: 1296 Question: Calculate the lowest common multiple of 156015 and 44901117. Resolution: 224505585 Question: What is the smallest common multiple of 192 and 20? Resolution: 960 Question: Find the common denominator of -51/8 and 37/742. Resolution: 2968 Question: Calculate the common denominator of -121/126 and 137/180. Resolution: 1260 Question: Calculate the smallest common multiple of 24 and 8502972. Resolution: 17005944 Question: Calculate the smallest common multiple of 42 and 14. Resolution: 42 Question: What is the least common multiple of 4142 and 124? Resolution: 256804 Question: What is the common denominator of -89/20 and -11/172? Resolution: 860 Question: Calculate the least common multiple of 173505960 and 121454172. Resolution: 1214541720 Question: Find the common denominator of -25/333953928 and 153/156170. Resolution: 1669769640 Question: What is the common denominator of -139/18 and -47/208? Resolution: 1872 Question: Calculate the lowest common multiple of 3 and 42. Resolution: 42 Question: What is the least common multiple of 6 and 4? Resolution: 12 Question: Calculate the lowest common multiple of 115759 and 15053703. Resolution: 346235169 Question: What is the smallest common multiple of 4900 and 25900? Resolution: 181300 Question: Calculate the common denominator of 79/275070 and 61/129750. Resolution: 6876750 Question: Calculate the least common multiple of 3308 and 1331470. Resolution: 2662940 Question: Calculate the common denominator of -67/4219578 and -109/1266. Resolution: 4219578 Question: Calculate the common denominator of 89/62138 and 47/20. Resolution: 621380 Question: Find the common denominator of 9/9917840 and 101/3471244. Resolution: 69424880 Question: Calculate the common denominator of -29/272880 and -55/15248. Resolution: 260054640 Question: Ca
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probability: swr p level set ---------------------------- Let: What is prob of picking 1 u and 1 n when two letters picked without replacement from {d: 3, n: 2, u: 3, z: 5}? Eval: 1/13 Let: Two letters picked without replacement from {m: 1, j: 2, a: 5, o: 1, f: 5, h: 2}. Give prob of picking 1 h and 1 o. Eval: 1/60 Let: Two letters picked without replacement from {i: 1, e: 7}. What is prob of picking 2 e? Eval: 3/4 Let: What is prob of picking 1 n and 1 z when two letters picked without replacement from zudniud? Eval: 1/21 Let: Four letters picked without replacement from kwkwwkwkmmk. Give prob of picking 4 k. Eval: 1/66 Let: Two letters picked without replacement from {g: 4, i: 3, e: 3, a: 6, z: 2}. Give prob of picking 1 i and 1 g. Eval: 4/51 Let: Four letters picked without replacement from {j: 10, d: 4}. Give prob of picking 3 j and 1 d. Eval: 480/1001 Let: Two letters picked without replacement from cec. What is prob of picking 1 e and 1 c? Eval: 2/3 Let: Calculate prob of picking 2 g and 2 h when four letters picked without replacement from {f: 3, g: 11, h: 4}. Eval: 11/102 Let: Two letters picked without replacement from {d: 3, o: 2}. What is prob of picking 2 o? Eval: 1/10 Let: Two letters picked without replacement from joutoouooxtxooooottt. What is prob of picking 1 j and 1 o? Eval: 1/19 Let: Two letters picked without replacement from {d: 5, k: 2, s: 7}. What is prob of picking 1 s and 1 k? Eval: 2/13 Let: Calculate prob of picking 3 b and 1 w when four letters picked without replacement from {w: 1, b: 11}. Eval: 1/3 Let: Calculate prob of picking 2 j and 1 e when three letters picked without replacement from jjjejjejejjj. Eval: 27/55 Let: What is prob of picking 1 q and 3 h when four letters picked without replacement from hhqqqhhhqhh? Eval: 14/33 Let: Four letters picked without replacement from yuryiyfrff. Give prob of picking 2 u, 1 y, and 1 i. Eval: 0 Let: Calculate prob of picking 1 o and 2 k when three letters picked without replacement from oxqkox
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measurement: conversion ----------------------- Problem Statement: What is 7/3 of a minute in seconds? = : 140 Problem Statement: How many millimeters are there in 3/5 of a centimeter? = : 6 Problem Statement: How many days are there in 3.773628s? = : 0.00004367625 Problem Statement: What is thirteen quarters of a litre in millilitres? = : 3250 Problem Statement: How many millilitres are there in twenty-nine fifths of a litre? = : 5800 Problem Statement: What is 7/4 of a week in minutes? = : 17640 Problem Statement: What is 79.37724 hours in seconds? = : 285758.064 Problem Statement: How many meters are there in 42.28073 millimeters? = : 0.04228073 Problem Statement: How many kilometers are there in 30858.68 centimeters? = : 0.3085868 Problem Statement: How many months are there in three eighths of a decade? = : 45 Problem Statement: What is 3/10 of a litre in millilitres? = : 300 Problem Statement: Convert 1.282386l to millilitres. = : 1282.386 Problem Statement: Convert 4.871153 micrograms to milligrams. = : 0.004871153 Problem Statement: How many millilitres are there in seven halves of a litre? = : 3500 Problem Statement: What is 91.45505ng in milligrams? = : 0.00009145505 Problem Statement: How many seconds are there in 9/10 of a day? = : 77760 Problem Statement: What is thirteen quarters of a meter in centimeters? = : 325 Problem Statement: Convert 7.804481 kilograms to grams. = : 7804.481 Problem Statement: What is 17376.28 litres in millilitres? = : 17376280 Problem Statement: What is 0.4856724l in millilitres? = : 485.6724 Problem Statement: How many months are there in 76117.1 years? = : 913405.2 Problem Statement: How many millilitres are there in 9.379523l? = : 9379.523 Problem Statement: How many nanoseconds are there in twenty-nine halves of a microsecond? = : 14500 Problem Statement: What is thirteen quarters of a milligram in micrograms? = : 3250 Problem Statement: What is 1/5 of a century in years? = : 20 Problem Statement: How many months are there
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probability: swr p sequence --------------------------- Query: Two letters picked without replacement from {b: 4, u: 2, j: 8, s: 2}. Give prob of sequence ju. Compute: 1/15 Query: Three letters picked without replacement from pqppppppppq. What is prob of sequence qpq? Compute: 1/55 Query: Two letters picked without replacement from yaasvmsayasn. What is prob of sequence sm? Compute: 1/44 Query: Two letters picked without replacement from syyyssyssssyyyshyyy. Give prob of sequence ys. Compute: 40/171 Query: Four letters picked without replacement from {b: 4, v: 6, d: 3, m: 3, o: 2, k: 1}. Give prob of sequence mbvk. Compute: 1/1292 Query: Two letters picked without replacement from yltlht. What is prob of sequence yh? Compute: 1/30 Query: What is prob of sequence eqv when three letters picked without replacement from qxvxepb? Compute: 1/210 Query: Four letters picked without replacement from {q: 4, o: 15}. Give prob of sequence oooq. Compute: 455/3876 Query: Calculate prob of sequence ff when two letters picked without replacement from ffpfftfpt. Compute: 5/18 Query: Three letters picked without replacement from bqqbbsqqq. Give prob of sequence qbq. Compute: 5/42 Query: Two letters picked without replacement from {w: 1, b: 2, y: 1, e: 1}. Give prob of sequence by. Compute: 1/10 Query: Calculate prob of sequence llx when three letters picked without replacement from lxzxxxxxzxzxzxxxzlx. Compute: 4/969 Query: Calculate prob of sequence xx when two letters picked without replacement from viicxbcxo. Compute: 1/36 Query: What is prob of sequence jn when two letters picked without replacement from {u: 4, n: 5, j: 5}? Compute: 25/182 Query: What is prob of sequence jejj when four letters picked without replacement from {e: 6, j: 13}? Compute: 143/1292 Query: Calculate prob of sequence me when two letters picked without replacement from emc. Compute: 1/6 Query: Three letters picked without replacement from oeimmqg. Give prob of sequence qge. Compute: 1/210 Query: What is pro
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measurement: time ----------------- Topic: How many minutes are there between 11:12 PM and 12:48 AM? Derivation: 96 Topic: What is 702 minutes after 3:01 AM? Derivation: 2:43 PM Topic: How many minutes are there between 9:03 AM and 4:22 PM? Derivation: 439 Topic: How many minutes are there between 3:11 PM and 2:32 AM? Derivation: 681 Topic: How many minutes are there between 8:48 PM and 3:33 AM? Derivation: 405 Topic: What is 332 minutes before 7:02 PM? Derivation: 1:30 PM Topic: What is 317 minutes after 11:05 PM? Derivation: 4:22 AM Topic: How many minutes are there between 12:35 PM and 9:15 PM? Derivation: 520 Topic: How many minutes are there between 12:58 AM and 3:04 AM? Derivation: 126 Topic: How many minutes are there between 6:10 PM and 5:32 AM? Derivation: 682 Topic: How many minutes are there between 3:06 PM and 3:55 PM? Derivation: 49 Topic: How many minutes are there between 4:17 AM and 2:42 PM? Derivation: 625 Topic: What is 430 minutes before 2:12 AM? Derivation: 7:02 PM Topic: How many minutes are there between 1:17 PM and 7:16 PM? Derivation: 359 Topic: How many minutes are there between 10:17 AM and 6:07 PM? Derivation: 470 Topic: How many minutes are there between 7:30 AM and 3:12 PM? Derivation: 462 Topic: How many minutes are there between 5:55 AM and 12:59 PM? Derivation: 424 Topic: How many minutes are there between 5:58 PM and 9:29 PM? Derivation: 211 Topic: How many minutes are there between 8:06 PM and 1:04 AM? Derivation: 298 Topic: How many minutes are there between 6:44 PM and 4:14 AM? Derivation: 570 Topic: How many minutes are there between 2:49 PM and 12:02 AM? Derivation: 553 Topic: How many minutes are there between 12:16 PM and 8:44 PM? Derivation: 508 Topic: What is 107 minutes before 1:37 AM? Derivation: 11:50 PM Topic: How many minutes are there between 5:25 AM and 10:47 AM? Derivation: 322 Topic: What is 44 minutes after 12:29 PM? Derivation: 1:13 PM Topic: What is 155 minutes before 9:53 PM? Derivation: 7:18 PM Topic: What is 4
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probability: swr p level set ---------------------------- Q.: Two letters picked without replacement from gnnngnnnnnnnggnnngg. What is prob of picking 1 n and 1 g? Key: 26/57 Q.: Four letters picked without replacement from {g: 1, q: 5, y: 4, l: 3, e: 1}. What is prob of picking 2 q, 1 e, and 1 l? Key: 30/1001 Q.: Four letters picked without replacement from {n: 2, l: 1, d: 1, p: 1}. Give prob of picking 1 l, 2 n, and 1 p. Key: 1/5 Q.: Four letters picked without replacement from etteeeetttttetteetet. What is prob of picking 4 e? Key: 42/1615 Q.: Four letters picked without replacement from dbdsddggdmgsdgg. Give prob of picking 2 s, 1 g, and 1 d. Key: 2/91 Q.: Calculate prob of picking 1 m, 1 k, and 1 v when three letters picked without replacement from eemmkemkveee. Key: 3/110 Q.: What is prob of picking 3 o when three letters picked without replacement from rrrroororxroxoxrrrx? Key: 10/969 Q.: Four letters picked without replacement from {u: 3, y: 2}. Give prob of picking 1 y and 3 u. Key: 2/5 Q.: What is prob of picking 2 b and 1 y when three letters picked without replacement from {y: 1, n: 1, b: 2, k: 2, v: 1}? Key: 1/35 Q.: What is prob of picking 1 y and 2 c when three letters picked without replacement from {g: 9, y: 1, c: 4, o: 2}? Key: 3/280 Q.: Two letters picked without replacement from {u: 2, l: 9}. What is prob of picking 1 u and 1 l? Key: 18/55 Q.: What is prob of picking 2 u when two letters picked without replacement from {u: 2, j: 4, s: 3, f: 1}? Key: 1/45 Q.: What is prob of picking 1 c and 1 u when two letters picked without replacement from ddudcddcuuuud? Key: 5/39 Q.: Two letters picked without replacement from ckmcbkyyjjbyyj. What is prob of picking 2 y? Key: 6/91 Q.: Calculate prob of picking 1 j and 3 a when four letters picked without replacement from {z: 4, j: 3, a: 6}. Key: 12/143 Q.: What is prob of picking 1 s and 1 q when two letters picked without replacement from {z: 3, q: 12, s: 3}? Key: 4/17 Q.: Four letters picked without replacem
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numbers: is prime ----------------- Problem: Is 5260799 a composite number? Sol: False Problem: Is 7961 prime? Sol: False Problem: Is 9360481313 a composite number? Sol: True Problem: Is 787 a prime number? Sol: True Problem: Is 34671797 prime? Sol: False Problem: Is 2626891 prime? Sol: False Problem: Is 3479341 a prime number? Sol: True Problem: Is 24501456437 a prime number? Sol: False Problem: Is 18603269 composite? Sol: False Problem: Is 122527 composite? Sol: False Problem: Is 1619405057 composite? Sol: True Problem: Is 38605267 composite? Sol: True Problem: Is 8846449 prime? Sol: True Problem: Is 18659 composite? Sol: True Problem: Is 2203632995 prime? Sol: False Problem: Is 399131881 composite? Sol: False Problem: Is 43005731 a composite number? Sol: False Problem: Is 43454 composite? Sol: True Problem: Is 24993953 prime? Sol: False Problem: Is 869063 a composite number? Sol: True Problem: Is 154201 prime? Sol: False Problem: Is 354953 prime? Sol: True Problem: Is 930479 a prime number? Sol: False Problem: Is 29123 composite? Sol: False Problem: Is 4140229213 prime? Sol: True Problem: Is 41119 a composite number? Sol: True Problem: Is 12637 composite? Sol: False Problem: Is 3215923 composite? Sol: False Problem: Is 42689 composite? Sol: False Problem: Is 146639 prime? Sol: True Problem: Is 7068623 prime? Sol: True Problem: Is 8059842053 composite? Sol: True Problem: Is 11351 a prime number? Sol: True Problem: Is 52939416769 composite? Sol: False Problem: Is 33516161179 a composite number? Sol: True Problem: Is 681177017 composite? Sol: False Problem: Is 4126139 prime? Sol: True Problem: Is 67237517 prime? Sol: True Problem: Is 211827643 a prime number? Sol: False Problem: Is 1296774283 a composite number? Sol: True Problem: Is 2312989 prime? Sol: False Problem: Is 831922493 prime? Sol: False Problem: Is 31243495 a composite number? Sol: True Problem: Is 1079380105 a composite number? Sol: True Problem: Is 853 composite? Sol: False Problem: Is 3389759 prime? S
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numbers: lcm ------------ Request: What is the lowest common multiple of 29412 and 304? Clarification: 117648 Request: Calculate the lowest common multiple of 18 and 1820. Clarification: 16380 Request: Calculate the lowest common multiple of 448 and 6551986. Clarification: 209663552 Request: What is the least common multiple of 48 and 8? Clarification: 48 Request: What is the common denominator of -43/491820 and 33/203? Clarification: 14262780 Request: Find the common denominator of -65/57204 and -95/276. Clarification: 1315692 Request: What is the common denominator of 161/60192 and 77/32832? Clarification: 361152 Request: What is the common denominator of -87/11570 and -37/534? Clarification: 34710 Request: Calculate the smallest common multiple of 48517556 and 2540. Clarification: 242587780 Request: Find the common denominator of 52/3 and -9/1175. Clarification: 3525 Request: Find the common denominator of 34/105 and -89/435. Clarification: 3045 Request: Calculate the least common multiple of 64420 and 946974. Clarification: 9469740 Request: Find the common denominator of -10/9 and 161/281430. Clarification: 281430 Request: Calculate the least common multiple of 385140 and 224. Clarification: 3081120 Request: Calculate the smallest common multiple of 5 and 1005. Clarification: 1005 Request: What is the lowest common multiple of 1605015 and 7035? Clarification: 752752035 Request: Find the common denominator of 35/55072 and 41/8. Clarification: 55072 Request: Calculate the common denominator of 91/6 and 23/4220. Clarification: 12660 Request: Calculate the common denominator of 17/1176 and 79/6412. Clarification: 269304 Request: Calculate the common denominator of -55/6291 and -17/81945. Clarification: 19093185 Request: Find the common denominator of 95/294 and 53/11466. Clarification: 11466 Request: Find the common denominator of -93/11648 and 23/4004. Clarification: 128128 Request: What is the smallest common multiple of 7525 and 1519? Clarification: 1632925 Reque
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measurement: conversion ----------------------- Subject: What is three sixteenths of a kilometer in centimeters? Ans: 18750 Subject: What is eleven quarters of a litre in millilitres? Ans: 2750 Subject: How many nanograms are there in 62.17602 tonnes? Ans: 62176020000000000 Subject: How many minutes are there in 2/63 of a week? Ans: 320 Subject: What is three eighths of a litre in millilitres? Ans: 375 Subject: How many tonnes are there in 6.295506 milligrams? Ans: 0.000000006295506 Subject: What is 11/10 of a litre in millilitres? Ans: 1100 Subject: How many microseconds are there in 5/8 of a millisecond? Ans: 625 Subject: What is 92786.26l in millilitres? Ans: 92786260 Subject: What is twenty-five halves of a meter in millimeters? Ans: 12500 Subject: What is seven eighths of a kilometer in meters? Ans: 875 Subject: What is thirteen quarters of a litre in millilitres? Ans: 3250 Subject: What is 9.555172 kilograms in milligrams? Ans: 9555172 Subject: Convert 1828606.5us to minutes. Ans: 0.030476775 Subject: What is fifty-one halves of a litre in millilitres? Ans: 25500 Subject: What is 98532.13 decades in millennia? Ans: 985.3213 Subject: How many millilitres are there in 31/5 of a litre? Ans: 6200 Subject: What is 234.433ng in milligrams? Ans: 0.000234433 Subject: How many nanograms are there in fifty-one halves of a microgram? Ans: 25500 Subject: How many milliseconds are there in 576207.9 weeks? Ans: 348490537920000 Subject: Convert 2375.388ms to minutes. Ans: 0.0395898 Subject: What is 9.505869 micrograms in nanograms? Ans: 9505.869 Subject: How many nanoseconds are there in 323.0572 hours? Ans: 1163005920000000 Subject: How many meters are there in 43/2 of a kilometer? Ans: 21500 Subject: What is one quarter of a milligram in micrograms? Ans: 250 Subject: What is 1/5 of a gram in milligrams? Ans: 200 Subject: How many meters are there in 13/5 of a kilometer? Ans: 2600 Subject: What is 42/5 of a meter in centimeters? Ans: 840 Subject: Convert 78.05499 years to m
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probability: swr p sequence --------------------------- Subject: Four letters picked without replacement from {h: 2, g: 2, t: 4}. What is prob of sequence tghg? Derivation: 1/105 Subject: Calculate prob of sequence qen when three letters picked without replacement from neaeqn. Derivation: 1/30 Subject: Three letters picked without replacement from htttjttttxttttt. Give prob of sequence ttx. Derivation: 22/455 Subject: What is prob of sequence ljk when three letters picked without replacement from {l: 1, k: 3, j: 5, p: 3}? Derivation: 1/88 Subject: Two letters picked without replacement from {j: 2, w: 2, z: 2}. What is prob of sequence zw? Derivation: 2/15 Subject: What is prob of sequence eulu when four letters picked without replacement from uegulelsp? Derivation: 1/378 Subject: Three letters picked without replacement from vzxxxvzvv. What is prob of sequence xxz? Derivation: 1/42 Subject: Four letters picked without replacement from gagmbaaayymymagbgg. What is prob of sequence gayb? Derivation: 5/2448 Subject: Three letters picked without replacement from ltgdlldgggtltggtgt. What is prob of sequence ttg? Derivation: 35/1224 Subject: What is prob of sequence eek when three letters picked without replacement from {e: 3, k: 2}? Derivation: 1/5 Subject: Calculate prob of sequence xu when two letters picked without replacement from gvjxlvu. Derivation: 1/42 Subject: What is prob of sequence fvv when three letters picked without replacement from {f: 3, v: 12}? Derivation: 66/455 Subject: What is prob of sequence bjqq when four letters picked without replacement from qqjbq? Derivation: 1/20 Subject: Three letters picked without replacement from jajjlaaaajalgaagajja. What is prob of sequence llg? Derivation: 1/1710 Subject: Calculate prob of sequence nx when two letters picked without replacement from xxxxxnxxxxxxxxx. Derivation: 1/15 Subject: Calculate prob of sequence zizz when four letters picked without replacement from iiiiziiiziiziiiiiiz. Derivation: 5/1292 Subject:
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arithmetic: nearest integer root -------------------------------- Ask: What is 39093 to the power of 1/2, to the nearest integer? Clarification: 198 Ask: What is 18763 to the power of 1/2, to the nearest integer? Clarification: 137 Ask: What is the square root of 1876634239 to the nearest integer? Clarification: 43320 Ask: What is 741 to the power of 1/5, to the nearest integer? Clarification: 4 Ask: What is the square root of 2875 to the nearest integer? Clarification: 54 Ask: What is the square root of 2595537 to the nearest integer? Clarification: 1611 Ask: What is 696386 to the power of 1/7, to the nearest integer? Clarification: 7 Ask: What is the eighth root of 47604628 to the nearest integer? Clarification: 9 Ask: What is the fourth root of 950 to the nearest integer? Clarification: 6 Ask: What is 187483 to the power of 1/7, to the nearest integer? Clarification: 6 Ask: What is 728071 to the power of 1/9, to the nearest integer? Clarification: 4 Ask: What is the third root of 1746 to the nearest integer? Clarification: 12 Ask: What is the cube root of 4055 to the nearest integer? Clarification: 16 Ask: What is 30716911 to the power of 1/2, to the nearest integer? Clarification: 5542 Ask: What is 833 to the power of 1/9, to the nearest integer? Clarification: 2 Ask: What is the square root of 5337 to the nearest integer? Clarification: 73 Ask: What is the ninth root of 3778138 to the nearest integer? Clarification: 5 Ask: What is 23676 to the power of 1/6, to the nearest integer? Clarification: 5 Ask: What is the eighth root of 1318329770 to the nearest integer? Clarification: 14 Ask: What is the eighth root of 66299953 to the nearest integer? Clarification: 9 Ask: What is 3325793026 to the power of 1/7, to the nearest integer? Clarification: 23 Ask: What is 877914 to the power of 1/2, to the nearest integer? Clarification: 937 Ask: What is 487657006 to the power of 1/2, to the nearest integer? Clarification: 22083 Ask: What is 43153116 to the power of 1/10, t
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numbers: place value -------------------- Scenario: What is the ten thousands digit of 2030754? = : 3 Scenario: What is the units digit of 148850608? = : 8 Scenario: What is the hundreds digit of 132? = : 1 Scenario: What is the hundreds digit of 140369? = : 3 Scenario: What is the tens digit of 787033760? = : 6 Scenario: What is the hundreds digit of 216307? = : 3 Scenario: What is the ten thousands digit of 5974547? = : 7 Scenario: What is the thousands digit of 188866? = : 8 Scenario: What is the tens digit of 58642772? = : 7 Scenario: What is the millions digit of 555319544? = : 5 Scenario: What is the units digit of 32748? = : 8 Scenario: What is the ten millions digit of 2035688023? = : 3 Scenario: What is the tens digit of 2173397? = : 9 Scenario: What is the thousands digit of 538567? = : 8 Scenario: What is the hundreds digit of 1425? = : 4 Scenario: What is the thousands digit of 13294? = : 3 Scenario: What is the hundreds digit of 58876? = : 8 Scenario: What is the thousands digit of 1246178? = : 6 Scenario: What is the ten thousands digit of 1154575671? = : 7 Scenario: What is the hundreds digit of 622025370? = : 3 Scenario: What is the ten thousands digit of 252433? = : 5 Scenario: What is the tens digit of 1016895? = : 9 Scenario: What is the ten thousands digit of 264372219? = : 7 Scenario: What is the billions digit of 3482244453? = : 3 Scenario: What is the units digit of 361? = : 1 Scenario: What is the hundred thousands digit of 32978301? = : 9 Scenario: What is the units digit of 14643028? = : 8 Scenario: What is the thousands digit of 124324? = : 4 Scenario: What is the millions digit of 17708806? = : 7 Scenario: What is the millions digit of 162795874? = : 2 Scenario: What is the hundred thousands digit of 4396852? = : 3 Scenario: What is the tens digit of 1275479? = : 7 Scenario: What is the tens digit of 5600? = : 0 Scenario: What is the units digit of 823885? = : 5 Scenario: What is the units digit of 5536291476? = : 6 Scenario: What is the
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numbers: place value -------------------- Given: What is the hundreds digit of 325342? Sol: 3 Given: What is the billions digit of 1853336059? Sol: 1 Given: What is the tens digit of 988? Sol: 8 Given: What is the thousands digit of 52736? Sol: 2 Given: What is the hundred thousands digit of 105532324? Sol: 5 Given: What is the tens digit of 30169? Sol: 6 Given: What is the thousands digit of 17376? Sol: 7 Given: What is the ten thousands digit of 122069269? Sol: 6 Given: What is the hundred millions digit of 1155369337? Sol: 1 Given: What is the thousands digit of 35874? Sol: 5 Given: What is the hundred thousands digit of 388471? Sol: 3 Given: What is the ten thousands digit of 17780? Sol: 1 Given: What is the hundred thousands digit of 2167791? Sol: 1 Given: What is the millions digit of 34085215? Sol: 4 Given: What is the tens digit of 43562? Sol: 6 Given: What is the units digit of 26149843? Sol: 3 Given: What is the thousands digit of 2785? Sol: 2 Given: What is the ten millions digit of 451734143? Sol: 5 Given: What is the units digit of 1679? Sol: 9 Given: What is the thousands digit of 114589? Sol: 4 Given: What is the ten thousands digit of 13798? Sol: 1 Given: What is the ten thousands digit of 141797? Sol: 4 Given: What is the tens digit of 3856979? Sol: 7 Given: What is the thousands digit of 26025134? Sol: 5 Given: What is the thousands digit of 7601813? Sol: 1 Given: What is the thousands digit of 86108639? Sol: 8 Given: What is the units digit of 551? Sol: 1 Given: What is the hundreds digit of 2460881? Sol: 8 Given: What is the tens digit of 35752? Sol: 5 Given: What is the ten thousands digit of 175663? Sol: 7 Given: What is the thousands digit of 369895740? Sol: 5 Given: What is the thousands digit of 20029? Sol: 0 Given: What is the hundred thousands digit of 1446737237? Sol: 7 Given: What is the units digit of 3087867912? Sol: 2 Given: What is the tens digit of 190567? Sol: 6 Given: What is the millions digit of 2522489? Sol: 2 Given: What is th
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numbers: div remainder ---------------------- Qn: Calculate the remainder when 4111434 is divided by 4111433. = : 1 Qn: Calculate the remainder when 942278 is divided by 3625. = : 3403 Qn: What is the remainder when 837894 is divided by 15? = : 9 Qn: Calculate the remainder when 2201 is divided by 9. = : 5 Qn: Calculate the remainder when 1142454 is divided by 29. = : 28 Qn: What is the remainder when 536 is divided by 36? = : 32 Qn: Calculate the remainder when 576 is divided by 34. = : 32 Qn: What is the remainder when 1175 is divided by 49? = : 48 Qn: Calculate the remainder when 1758 is divided by 14. = : 8 Qn: What is the remainder when 14037 is divided by 195? = : 192 Qn: Calculate the remainder when 3415 is divided by 17. = : 15 Qn: Calculate the remainder when 10885 is divided by 3539. = : 268 Qn: What is the remainder when 33 is divided by 5? = : 3 Qn: Calculate the remainder when 52137 is divided by 104. = : 33 Qn: Calculate the remainder when 687 is divided by 229. = : 0 Qn: Calculate the remainder when 42011 is divided by 778. = : 777 Qn: Calculate the remainder when 2260813 is divided by 265. = : 98 Qn: What is the remainder when 133192 is divided by 5? = : 2 Qn: Calculate the remainder when 63818 is divided by 63. = : 62 Qn: Calculate the remainder when 150 is divided by 49. = : 3 Qn: Calculate the remainder when 771 is divided by 628. = : 143 Qn: What is the remainder when 1939229 is divided by 250? = : 229 Qn: Calculate the remainder when 22256949 is divided by 7418982. = : 3 Qn: Calculate the remainder when 5528044 is divided by 1058. = : 1052 Qn: Calculate the remainder when 357483 is divided by 39599. = : 1092 Qn: Calculate the remainder when 55690593 is divided by 9582. = : 9 Qn: What is the remainder when 1738860 is divided by 4516? = : 200 Qn: What is the remainder when 39632 is divided by 4? = : 0 Qn: What is the remainder when 63212593 is divided by 157? = : 154 Qn: Calculate the remainder when 304 is divided by 103. = : 98 Qn: Calculate the
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arithmetic: nearest integer root -------------------------------- Item: What is the ninth root of 453 to the nearest integer? Soln: 2 Item: What is the square root of 4044 to the nearest integer? Soln: 64 Item: What is 1733535412 to the power of 1/3, to the nearest integer? Soln: 1201 Item: What is the ninth root of 1151 to the nearest integer? Soln: 2 Item: What is the eighth root of 65934831 to the nearest integer? Soln: 9 Item: What is 136307 to the power of 1/2, to the nearest integer? Soln: 369 Item: What is 14 to the power of 1/3, to the nearest integer? Soln: 2 Item: What is the third root of 3647692 to the nearest integer? Soln: 154 Item: What is 3706675 to the power of 1/2, to the nearest integer? Soln: 1925 Item: What is the third root of 146100 to the nearest integer? Soln: 53 Item: What is 59461 to the power of 1/7, to the nearest integer? Soln: 5 Item: What is the sixth root of 204629 to the nearest integer? Soln: 8 Item: What is the tenth root of 1453 to the nearest integer? Soln: 2 Item: What is the third root of 19662172 to the nearest integer? Soln: 270 Item: What is 1185554 to the power of 1/3, to the nearest integer? Soln: 106 Item: What is the cube root of 243 to the nearest integer? Soln: 6 Item: What is 157589 to the power of 1/4, to the nearest integer? Soln: 20 Item: What is 311 to the power of 1/2, to the nearest integer? Soln: 18 Item: What is 999617685 to the power of 1/8, to the nearest integer? Soln: 13 Item: What is the tenth root of 37524 to the nearest integer? Soln: 3 Item: What is the third root of 16290965 to the nearest integer? Soln: 254 Item: What is the square root of 478965 to the nearest integer? Soln: 692 Item: What is the fourth root of 102624077 to the nearest integer? Soln: 101 Item: What is the square root of 582620857 to the nearest integer? Soln: 24138 Item: What is the third root of 7092 to the nearest integer? Soln: 19 Item: What is 161214 to the power of 1/6, to the nearest integer? Soln: 7 Item: What is the cube ro
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arithmetic: nearest integer root -------------------------------- Situation: What is 137151 to the power of 1/9, to the nearest integer? Calculation: 4 Situation: What is the sixth root of 1392859 to the nearest integer? Calculation: 11 Situation: What is 3562893 to the power of 1/7, to the nearest integer? Calculation: 9 Situation: What is 166645034 to the power of 1/2, to the nearest integer? Calculation: 12909 Situation: What is the square root of 177007 to the nearest integer? Calculation: 421 Situation: What is the fourth root of 91846034 to the nearest integer? Calculation: 98 Situation: What is the seventh root of 249310936 to the nearest integer? Calculation: 16 Situation: What is 1411100925 to the power of 1/6, to the nearest integer? Calculation: 33 Situation: What is the ninth root of 772734836 to the nearest integer? Calculation: 10 Situation: What is the fifth root of 5405290 to the nearest integer? Calculation: 22 Situation: What is the seventh root of 8332 to the nearest integer? Calculation: 4 Situation: What is 3152715 to the power of 1/2, to the nearest integer? Calculation: 1776 Situation: What is the square root of 13699841 to the nearest integer? Calculation: 3701 Situation: What is the square root of 3602264 to the nearest integer? Calculation: 1898 Situation: What is 4487 to the power of 1/8, to the nearest integer? Calculation: 3 Situation: What is 283805 to the power of 1/6, to the nearest integer? Calculation: 8 Situation: What is 6333913 to the power of 1/3, to the nearest integer? Calculation: 185 Situation: What is 45494726 to the power of 1/3, to the nearest integer? Calculation: 357 Situation: What is the cube root of 116732619 to the nearest integer? Calculation: 489 Situation: What is 1714875273 to the power of 1/2, to the nearest integer? Calculation: 41411 Situation: What is 83909 to the power of 1/2, to the nearest integer? Calculation: 290 Situation: What is 1471645058 to the power of 1/7, to the nearest integer? Calculation: 20
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measurement: time ----------------- Item: How many minutes are there between 12:36 AM and 2:07 AM? Thus: 91 Item: How many minutes are there between 11:56 AM and 7:08 PM? Thus: 432 Item: What is 547 minutes after 3:30 AM? Thus: 12:37 PM Item: What is 448 minutes after 2:16 PM? Thus: 9:44 PM Item: How many minutes are there between 2:45 AM and 12:13 PM? Thus: 568 Item: How many minutes are there between 12:43 PM and 12:52 PM? Thus: 9 Item: How many minutes are there between 6:17 PM and 9:39 PM? Thus: 202 Item: What is 625 minutes after 5:18 PM? Thus: 3:43 AM Item: How many minutes are there between 6:54 AM and 7:38 AM? Thus: 44 Item: What is 42 minutes after 4:54 PM? Thus: 5:36 PM Item: What is 394 minutes after 8:20 PM? Thus: 2:54 AM Item: What is 35 minutes after 12:35 AM? Thus: 1:10 AM Item: How many minutes are there between 6:21 AM and 2:21 PM? Thus: 480 Item: How many minutes are there between 10:25 PM and 7:02 AM? Thus: 517 Item: What is 525 minutes before 9:47 PM? Thus: 1:02 PM Item: What is 101 minutes before 4:23 AM? Thus: 2:42 AM Item: How many minutes are there between 8:09 AM and 12:55 PM? Thus: 286 Item: How many minutes are there between 2:05 AM and 6:01 AM? Thus: 236 Item: How many minutes are there between 6:19 AM and 2:46 PM? Thus: 507 Item: How many minutes are there between 5:43 AM and 12:14 PM? Thus: 391 Item: How many minutes are there between 8:20 PM and 5:08 AM? Thus: 528 Item: What is 596 minutes before 8:31 AM? Thus: 10:35 PM Item: How many minutes are there between 12:26 AM and 12:25 PM? Thus: 719 Item: What is 235 minutes after 8:27 AM? Thus: 12:22 PM Item: How many minutes are there between 11:32 AM and 7:55 PM? Thus: 503 Item: How many minutes are there between 6:42 AM and 5:45 PM? Thus: 663 Item: How many minutes are there between 1:51 PM and 3:19 PM? Thus: 88 Item: How many minutes are there between 2:56 PM and 11:07 PM? Thus: 491 Item: How many minutes are there between 5:40 AM and 8:55 AM? Thus: 195 Item: How many minutes are there b
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measurement: conversion ----------------------- Topic: Convert 0.3019301 tonnes to kilograms. Output: 301.9301 Topic: What is 3153.88ml in litres? Output: 3.15388 Topic: Convert 0.3872589m to nanometers. Output: 387258900 Topic: What is 27.99128 decades in millennia? Output: 0.2799128 Topic: How many years are there in 497.2203 decades? Output: 4972.203 Topic: How many minutes are there in twenty-seven halves of a day? Output: 19440 Topic: How many tonnes are there in 1417.824mg? Output: 0.000001417824 Topic: Convert 98.94096um to meters. Output: 0.00009894096 Topic: What is 52/3 of a century in months? Output: 20800 Topic: What is 13/5 of a kilogram in grams? Output: 2600 Topic: What is 41964.8 milligrams in grams? Output: 41.9648 Topic: Convert 4285.11 centimeters to millimeters. Output: 42851.1 Topic: Convert 177.7998 years to decades. Output: 17.77998 Topic: What is 29/5 of a litre in millilitres? Output: 5800 Topic: What is one fifth of a centimeter in millimeters? Output: 2 Topic: Convert 993.5238 centuries to years. Output: 99352.38 Topic: What is 690381.9l in millilitres? Output: 690381900 Topic: How many microseconds are there in 33/5 of a millisecond? Output: 6600 Topic: How many milligrams are there in 8.661059t? Output: 8661059000 Topic: How many months are there in 1/80 of a century? Output: 15 Topic: How many months are there in 0.42568 centuries? Output: 510.816 Topic: What is one quarter of a week in minutes? Output: 2520 Topic: How many micrometers are there in 0.8622289m? Output: 862228.9 Topic: What is 6/25 of a tonne in kilograms? Output: 240 Topic: How many millilitres are there in thirteen eighths of a litre? Output: 1625 Topic: How many millilitres are there in 11/4 of a litre? Output: 2750 Topic: What is 46/5 of a millennium in centuries? Output: 92 Topic: What is twenty-one quarters of a centimeter in micrometers? Output: 52500 Topic: What is 569.7249 years in centuries? Output: 5.697249 Topic: How many millilitres are there in thirty-four f
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measurement: time ----------------- Let us solve: How many minutes are there between 6:07 PM and 8:08 PM? Response: 121 Let us solve: How many minutes are there between 12:20 PM and 5:30 PM? Response: 310 Let us solve: How many minutes are there between 7:54 PM and 2:50 AM? Response: 416 Let us solve: What is 625 minutes after 9:54 PM? Response: 8:19 AM Let us solve: How many minutes are there between 9:28 AM and 9:01 PM? Response: 693 Let us solve: How many minutes are there between 9:22 PM and 1:17 AM? Response: 235 Let us solve: What is 160 minutes after 9:00 PM? Response: 11:40 PM Let us solve: What is 662 minutes after 10:31 PM? Response: 9:33 AM Let us solve: How many minutes are there between 5:37 PM and 4:58 AM? Response: 681 Let us solve: How many minutes are there between 9:13 AM and 6:57 PM? Response: 584 Let us solve: How many minutes are there between 2:56 AM and 5:04 AM? Response: 128 Let us solve: How many minutes are there between 1:10 PM and 5:24 PM? Response: 254 Let us solve: What is 121 minutes after 1:07 PM? Response: 3:08 PM Let us solve: What is 496 minutes after 6:31 AM? Response: 2:47 PM Let us solve: What is 355 minutes after 3:21 AM? Response: 9:16 AM Let us solve: How many minutes are there between 7:28 PM and 9:56 PM? Response: 148 Let us solve: What is 204 minutes after 11:47 AM? Response: 3:11 PM Let us solve: What is 142 minutes before 10:02 AM? Response: 7:40 AM Let us solve: How many minutes are there between 9:58 AM and 9:08 PM? Response: 670 Let us solve: What is 51 minutes after 5:18 PM? Response: 6:09 PM Let us solve: What is 20 minutes before 10:06 PM? Response: 9:46 PM Let us solve: How many minutes are there between 11:01 PM and 8:31 AM? Response: 570 Let us solve: How many minutes are there between 9:26 PM and 2:50 AM? Response: 324 Let us solve: How many minutes are there between 1:25 PM and 12:22 AM? Response: 657 Let us solve: How many minutes are there between 6:35 AM and 4:17 PM? Response: 582 Let us solve: How many min
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numbers: is prime ----------------- Subquestion: Is 43201 a prime number? A: True Subquestion: Is 672768809 a prime number? A: False Subquestion: Is 261261113 composite? A: True Subquestion: Is 541 a composite number? A: False Subquestion: Is 1687187 prime? A: True Subquestion: Is 808679 composite? A: False Subquestion: Is 13862159303 prime? A: False Subquestion: Is 2498455283 a composite number? A: False Subquestion: Is 13876309 a composite number? A: False Subquestion: Is 60173 a prime number? A: False Subquestion: Is 1782037 a prime number? A: False Subquestion: Is 35041 prime? A: False Subquestion: Is 6503 composite? A: True Subquestion: Is 397207133 a composite number? A: False Subquestion: Is 1213142813 prime? A: True Subquestion: Is 1773487 prime? A: True Subquestion: Is 2554194707 a prime number? A: True Subquestion: Is 53442884171 a prime number? A: True Subquestion: Is 1649330051 prime? A: False Subquestion: Is 2250836921 a composite number? A: False Subquestion: Is 68023 a prime number? A: True Subquestion: Is 162871 composite? A: True Subquestion: Is 27841 prime? A: False Subquestion: Is 5911057 a prime number? A: True Subquestion: Is 16879 composite? A: False Subquestion: Is 3668502037 composite? A: True Subquestion: Is 37043719519 prime? A: True Subquestion: Is 126347 prime? A: False Subquestion: Is 26002155526 a prime number? A: False Subquestion: Is 425918147 a composite number? A: False Subquestion: Is 443309351 prime? A: True Subquestion: Is 3005770567 prime? A: False Subquestion: Is 9518403 a prime number? A: False Subquestion: Is 88643 prime? A: True Subquestion: Is 278255017 prime? A: True Subquestion: Is 2820469 a prime number? A: False Subquestion: Is 116239 composite? A: False Subquestion: Is 54604321 a prime number? A: True Subquestion: Is 199151 prime? A: True Subquestion: Is 11854771 composite? A: True Subquestion: Is 162473 composite? A: False Subquestion: Is 289348271 prime? A: True Subquestion: Is 159820301 a prime number? A: True Subqu
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numbers: is prime ----------------- Example: Is 12676901 composite? Final Answer: False Example: Is 3907 prime? Final Answer: True Example: Is 45686451 prime? Final Answer: False Example: Is 142094735539 a prime number? Final Answer: False Example: Is 10679 prime? Final Answer: False Example: Is 195059243 prime? Final Answer: True Example: Is 138109 a prime number? Final Answer: False Example: Is 2769451 composite? Final Answer: False Example: Is 26468455877 composite? Final Answer: True Example: Is 3757537 prime? Final Answer: False Example: Is 80021 a prime number? Final Answer: True Example: Is 10219603 composite? Final Answer: True Example: Is 31011053 a composite number? Final Answer: True Example: Is 181406843 a prime number? Final Answer: True Example: Is 142357 composite? Final Answer: False Example: Is 5227069 composite? Final Answer: True Example: Is 14371 a composite number? Final Answer: True Example: Is 2588141 prime? Final Answer: True Example: Is 573331 a composite number? Final Answer: True Example: Is 6509339 a prime number? Final Answer: False Example: Is 360725033 composite? Final Answer: True Example: Is 96223141 composite? Final Answer: True Example: Is 4371821 a composite number? Final Answer: True Example: Is 37297941682 a prime number? Final Answer: False Example: Is 572092739 a composite number? Final Answer: False Example: Is 26797 a composite number? Final Answer: True Example: Is 26400223 prime? Final Answer: True Example: Is 146836337533 prime? Final Answer: True Example: Is 2743670081 a prime number? Final Answer: True Example: Is 83851 a composite number? Final Answer: True Example: Is 3143 a prime number? Final Answer: False Example: Is 492165643 a composite number? Final Answer: True Example: Is 86532367 prime? Final Answer: False Example: Is 1816905011 prime? Final Answer: True Example: Is 32729 prime? Final Answer: False Example: Is 31661081 prime? Final Answer: True Example: Is 532340113 prime? Final Answer: False Example: Is 8396
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numbers: place value -------------------- Request: What is the hundreds digit of 669797094? Interpretation: 0 Request: What is the units digit of 2771240? Interpretation: 0 Request: What is the ten thousands digit of 2069364? Interpretation: 6 Request: What is the hundred thousands digit of 575371? Interpretation: 5 Request: What is the units digit of 279949? Interpretation: 9 Request: What is the ten thousands digit of 1348104? Interpretation: 4 Request: What is the units digit of 2059677? Interpretation: 7 Request: What is the tens digit of 1973? Interpretation: 7 Request: What is the units digit of 12537? Interpretation: 7 Request: What is the hundreds digit of 1655? Interpretation: 6 Request: What is the ten millions digit of 214292529? Interpretation: 1 Request: What is the hundreds digit of 204? Interpretation: 2 Request: What is the hundred thousands digit of 2815226? Interpretation: 8 Request: What is the tens digit of 8465? Interpretation: 6 Request: What is the units digit of 3626766547? Interpretation: 7 Request: What is the hundreds digit of 592164? Interpretation: 1 Request: What is the units digit of 115356745? Interpretation: 5 Request: What is the units digit of 208563? Interpretation: 3 Request: What is the ten thousands digit of 69679? Interpretation: 6 Request: What is the ten millions digit of 90813717? Interpretation: 9 Request: What is the thousands digit of 53809? Interpretation: 3 Request: What is the hundreds digit of 21897? Interpretation: 8 Request: What is the hundred millions digit of 318970847? Interpretation: 3 Request: What is the hundred millions digit of 102834502? Interpretation: 1 Request: What is the tens digit of 1162? Interpretation: 6 Request: What is the tens digit of 1363? Interpretation: 6 Request: What is the thousands digit of 496864? Interpretation: 6 Request: What is the tens digit of 56259658? Interpretation: 5 Request: What is the hundreds digit of 772? Interpretation: 7 Request: What is the hundreds digit of 19639? I
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numbers: is prime ----------------- Task: Is 59383933093 a prime number? Calculation: True Task: Is 557 prime? Calculation: True Task: Is 113928209 composite? Calculation: False Task: Is 6596671 a prime number? Calculation: False Task: Is 2663327 composite? Calculation: True Task: Is 326737 a composite number? Calculation: False Task: Is 36293 prime? Calculation: True Task: Is 693943 prime? Calculation: True Task: Is 82624637 a composite number? Calculation: True Task: Is 343218341 a prime number? Calculation: False Task: Is 779950201 a composite number? Calculation: False Task: Is 7612374059 a prime number? Calculation: False Task: Is 6374651 composite? Calculation: False Task: Is 444251819 a composite number? Calculation: True Task: Is 1821481 a prime number? Calculation: True Task: Is 32606987 prime? Calculation: False Task: Is 59369 prime? Calculation: True Task: Is 3580289 a prime number? Calculation: True Task: Is 697919506 prime? Calculation: False Task: Is 9087839 a composite number? Calculation: False Task: Is 8115383 a composite number? Calculation: False Task: Is 131 a prime number? Calculation: True Task: Is 235273 a composite number? Calculation: False Task: Is 73819 composite? Calculation: False Task: Is 84300301 a prime number? Calculation: True Task: Is 203117 a prime number? Calculation: True Task: Is 23432573791 a prime number? Calculation: False Task: Is 34121 a prime number? Calculation: False Task: Is 697 a composite number? Calculation: True Task: Is 91455757 composite? Calculation: False Task: Is 58139 prime? Calculation: False Task: Is 23099 a prime number? Calculation: True Task: Is 14446807 a prime number? Calculation: False Task: Is 1071066449 composite? Calculation: True Task: Is 122012987 composite? Calculation: True Task: Is 31049947 prime? Calculation: True Task: Is 89421947 prime? Calculation: True Task: Is 24748244293 a composite number? Calculation: False Task: Is 16501 a composite number? Calculation: True Task: Is 87613 composite?
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numbers: div remainder ---------------------- Puzzle: Calculate the remainder when 1926 is divided by 383. Clarification: 11 Puzzle: What is the remainder when 7863 is divided by 63? Clarification: 51 Puzzle: Calculate the remainder when 557 is divided by 93. Clarification: 92 Puzzle: Calculate the remainder when 1738 is divided by 29. Clarification: 27 Puzzle: What is the remainder when 280702 is divided by 7794? Clarification: 118 Puzzle: Calculate the remainder when 3082344 is divided by 964. Clarification: 436 Puzzle: Calculate the remainder when 903900 is divided by 1419. Clarification: 1416 Puzzle: Calculate the remainder when 10282 is divided by 219. Clarification: 208 Puzzle: What is the remainder when 2986 is divided by 12? Clarification: 10 Puzzle: Calculate the remainder when 1091 is divided by 337. Clarification: 80 Puzzle: What is the remainder when 77678543 is divided by 57? Clarification: 26 Puzzle: Calculate the remainder when 860 is divided by 751. Clarification: 109 Puzzle: What is the remainder when 4055 is divided by 35? Clarification: 30 Puzzle: What is the remainder when 15078 is divided by 289? Clarification: 50 Puzzle: What is the remainder when 798931 is divided by 266304? Clarification: 19 Puzzle: What is the remainder when 1042604 is divided by 260649? Clarification: 8 Puzzle: What is the remainder when 303 is divided by 21? Clarification: 9 Puzzle: What is the remainder when 149 is divided by 130? Clarification: 19 Puzzle: Calculate the remainder when 12347 is divided by 95. Clarification: 92 Puzzle: What is the remainder when 537079 is divided by 498? Clarification: 235 Puzzle: Calculate the remainder when 41696 is divided by 20764. Clarification: 168 Puzzle: Calculate the remainder when 58498 is divided by 398. Clarification: 390 Puzzle: What is the remainder when 702659886 is divided by 2549? Clarification: 2546 Puzzle: Calculate the remainder when 10809 is divided by 102. Clarification: 99 Puzzle: What is the remainder when 504901 is
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arithmetic: nearest integer root -------------------------------- Problem #: What is the cube root of 34434144 to the nearest integer? Yields: 325 Problem #: What is 1376657717 to the power of 1/2, to the nearest integer? Yields: 37103 Problem #: What is 169699 to the power of 1/7, to the nearest integer? Yields: 6 Problem #: What is 1395812 to the power of 1/2, to the nearest integer? Yields: 1181 Problem #: What is the square root of 152143409 to the nearest integer? Yields: 12335 Problem #: What is the sixth root of 4136 to the nearest integer? Yields: 4 Problem #: What is 2232 to the power of 1/6, to the nearest integer? Yields: 4 Problem #: What is the sixth root of 26895 to the nearest integer? Yields: 5 Problem #: What is 10731 to the power of 1/9, to the nearest integer? Yields: 3 Problem #: What is 20075631 to the power of 1/2, to the nearest integer? Yields: 4481 Problem #: What is the cube root of 46 to the nearest integer? Yields: 4 Problem #: What is the cube root of 1667104 to the nearest integer? Yields: 119 Problem #: What is 41524117 to the power of 1/7, to the nearest integer? Yields: 12 Problem #: What is the third root of 26986113 to the nearest integer? Yields: 300 Problem #: What is 960191 to the power of 1/7, to the nearest integer? Yields: 7 Problem #: What is 1608417 to the power of 1/4, to the nearest integer? Yields: 36 Problem #: What is the cube root of 2393 to the nearest integer? Yields: 13 Problem #: What is 409301354 to the power of 1/6, to the nearest integer? Yields: 27 Problem #: What is the cube root of 159 to the nearest integer? Yields: 5 Problem #: What is 56326283 to the power of 1/4, to the nearest integer? Yields: 87 Problem #: What is the cube root of 1921 to the nearest integer? Yields: 12 Problem #: What is 4469 to the power of 1/3, to the nearest integer? Yields: 16 Problem #: What is the third root of 572694 to the nearest integer? Yields: 83 Problem #: What is the fourth root of 80843512 to the nearest integer? Yields
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numbers: place value -------------------- Test item: What is the hundred millions digit of 286365845? β†’: 2 Test item: What is the thousands digit of 131986? β†’: 1 Test item: What is the thousands digit of 415691302? β†’: 1 Test item: What is the tens digit of 150110? β†’: 1 Test item: What is the hundreds digit of 2975582010? β†’: 0 Test item: What is the tens digit of 33263? β†’: 6 Test item: What is the units digit of 242773? β†’: 3 Test item: What is the tens digit of 74910? β†’: 1 Test item: What is the hundreds digit of 99522905? β†’: 9 Test item: What is the ten thousands digit of 91635601? β†’: 3 Test item: What is the tens digit of 895? β†’: 9 Test item: What is the ten millions digit of 7306614331? β†’: 0 Test item: What is the thousands digit of 5165? β†’: 5 Test item: What is the thousands digit of 466409824? β†’: 9 Test item: What is the hundred thousands digit of 2034540? β†’: 0 Test item: What is the tens digit of 4113? β†’: 1 Test item: What is the hundreds digit of 2271? β†’: 2 Test item: What is the thousands digit of 2273? β†’: 2 Test item: What is the ten thousands digit of 82949? β†’: 8 Test item: What is the tens digit of 1692136? β†’: 3 Test item: What is the millions digit of 182180899? β†’: 2 Test item: What is the tens digit of 378376756? β†’: 5 Test item: What is the millions digit of 2171578? β†’: 2 Test item: What is the thousands digit of 24281? β†’: 4 Test item: What is the hundreds digit of 102089? β†’: 0 Test item: What is the hundred thousands digit of 308919? β†’: 3 Test item: What is the tens digit of 428279? β†’: 7 Test item: What is the ten thousands digit of 1307473590? β†’: 7 Test item: What is the ten thousands digit of 133132014? β†’: 3 Test item: What is the millions digit of 1358014? β†’: 1 Test item: What is the ten thousands digit of 506649? β†’: 0 Test item: What is the billions digit of 3546329024? β†’: 3 Test item: What is the hundreds digit of 4109065? β†’: 0 Test item: What is the hundreds digit of 58545? β†’: 5 Test item: What is the hundreds digit of 22966? β†’: 9 Test item: What
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measurement: conversion ----------------------- Example: How many millennia are there in 38.9936 decades? Interpretation: 0.389936 Example: How many millilitres are there in 1.084744 litres? Interpretation: 1084.744 Example: How many days are there in 43031.493 microseconds? Interpretation: 0.0000004980496875 Example: Convert 9614.47 years to centuries. Interpretation: 96.1447 Example: How many grams are there in 97531.82 nanograms? Interpretation: 0.00009753182 Example: How many nanometers are there in 11/2 of a micrometer? Interpretation: 5500 Example: What is 259039.3kg in nanograms? Interpretation: 259039300000000000 Example: What is 390472.6ml in litres? Interpretation: 390.4726 Example: How many centuries are there in 42274.25 years? Interpretation: 422.7425 Example: What is 7738.891 decades in centuries? Interpretation: 773.8891 Example: What is 6/25 of a century in years? Interpretation: 24 Example: How many minutes are there in thirty-one fifths of a day? Interpretation: 8928 Example: How many years are there in one quarter of a century? Interpretation: 25 Example: What is 923.0935 millilitres in litres? Interpretation: 0.9230935 Example: Convert 6.40064mm to micrometers. Interpretation: 6400.64 Example: How many minutes are there in 5/14 of a week? Interpretation: 3600 Example: What is seven halves of a gram in milligrams? Interpretation: 3500 Example: Convert 215.8088 hours to seconds. Interpretation: 776911.68 Example: How many millennia are there in 60.17629 centuries? Interpretation: 6.017629 Example: What is 6171.527um in centimeters? Interpretation: 0.6171527 Example: How many years are there in seventy-two fifths of a millennium? Interpretation: 14400 Example: Convert 45.58063 centuries to decades. Interpretation: 455.8063 Example: What is 3/5 of a decade in years? Interpretation: 6 Example: How many nanograms are there in 55/2 of a microgram? Interpretation: 27500 Example: Convert 2046.219ml to litres. Interpretation: 2.046219 Example: What is 7541
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numbers: div remainder ---------------------- Math Q: Calculate the remainder when 3065630 is divided by 829. Finding: 817 Math Q: What is the remainder when 21619 is divided by 10? Finding: 9 Math Q: Calculate the remainder when 211 is divided by 49. Finding: 15 Math Q: Calculate the remainder when 588 is divided by 5. Finding: 3 Math Q: Calculate the remainder when 1954 is divided by 111. Finding: 67 Math Q: Calculate the remainder when 411 is divided by 136. Finding: 3 Math Q: What is the remainder when 11630 is divided by 2325? Finding: 5 Math Q: Calculate the remainder when 13727373 is divided by 4575785. Finding: 18 Math Q: Calculate the remainder when 94 is divided by 19. Finding: 18 Math Q: What is the remainder when 77135722 is divided by 2488249? Finding: 3 Math Q: What is the remainder when 167 is divided by 56? Finding: 55 Math Q: What is the remainder when 379989 is divided by 75993? Finding: 24 Math Q: Calculate the remainder when 278 is divided by 11. Finding: 3 Math Q: Calculate the remainder when 986 is divided by 190. Finding: 36 Math Q: Calculate the remainder when 9998611 is divided by 1666434. Finding: 7 Math Q: Calculate the remainder when 34040166 is divided by 243. Finding: 240 Math Q: Calculate the remainder when 213009708 is divided by 31. Finding: 28 Math Q: Calculate the remainder when 203280 is divided by 2641. Finding: 2564 Math Q: What is the remainder when 54744108 is divided by 57? Finding: 54 Math Q: What is the remainder when 48 is divided by 10? Finding: 8 Math Q: What is the remainder when 128212 is divided by 5574? Finding: 10 Math Q: What is the remainder when 301958 is divided by 204? Finding: 38 Math Q: Calculate the remainder when 32148 is divided by 104. Finding: 12 Math Q: Calculate the remainder when 84520 is divided by 19320. Finding: 7240 Math Q: Calculate the remainder when 13560 is divided by 1130. Finding: 0 Math Q: Calculate the remainder when 283 is divided by 87. Finding: 22 Math Q: Calculate the remainder when 10
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probability: swr p level set ---------------------------- Example: Two letters picked without replacement from {y: 7, j: 8, h: 5}. Give prob of picking 1 y and 1 j. Interpretation: 28/95 Example: What is prob of picking 1 m and 1 p when two letters picked without replacement from mppppeppppp? Interpretation: 9/55 Example: Two letters picked without replacement from aeafalaaflaafaaaaff. What is prob of picking 1 a and 1 e? Interpretation: 11/171 Example: Two letters picked without replacement from {y: 1, h: 2, f: 1, z: 1, a: 4, v: 3}. What is prob of picking 1 z and 1 h? Interpretation: 1/33 Example: Two letters picked without replacement from {l: 4, u: 15}. Give prob of picking 2 u. Interpretation: 35/57 Example: What is prob of picking 2 i and 2 r when four letters picked without replacement from {v: 1, c: 3, r: 5, y: 1, q: 2, i: 3}? Interpretation: 2/91 Example: Two letters picked without replacement from lrlfwfmqwmlwlwfmmqff. Give prob of picking 1 f and 1 r. Interpretation: 1/38 Example: Calculate prob of picking 1 u, 2 i, and 1 n when four letters picked without replacement from {i: 2, n: 2, c: 2, u: 6}. Interpretation: 4/165 Example: Four letters picked without replacement from {o: 3, p: 1, a: 12}. Give prob of picking 4 a. Interpretation: 99/364 Example: Four letters picked without replacement from {u: 1, b: 3, w: 4, x: 6}. What is prob of picking 3 w and 1 b? Interpretation: 12/1001 Example: Calculate prob of picking 1 s and 2 w when three letters picked without replacement from viwsiwsvvrsvvisi. Interpretation: 1/140 Example: Four letters picked without replacement from dddywyodwwxwwoxwx. Give prob of picking 3 w and 1 o. Interpretation: 2/119 Example: What is prob of picking 2 w and 1 v when three letters picked without replacement from wgwwvvwvvwwwwvwwww? Interpretation: 55/136 Example: Two letters picked without replacement from {b: 1, e: 3, q: 2, r: 1}. What is prob of picking 1 b and 1 e? Interpretation: 1/7 Example: Calculate prob of picking 2 k when
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numbers: gcd ------------ Q-: What is the greatest common factor of 155 and 1771495? Soln: 155 Q-: Calculate the highest common divisor of 61748 and 3231. Soln: 359 Q-: What is the highest common factor of 117698 and 448? Soln: 14 Q-: What is the greatest common divisor of 147 and 21? Soln: 21 Q-: Calculate the highest common divisor of 38220 and 1545. Soln: 15 Q-: Calculate the highest common divisor of 27630 and 62014. Soln: 614 Q-: What is the greatest common divisor of 5959 and 7611? Soln: 59 Q-: Calculate the greatest common factor of 89921 and 65. Soln: 13 Q-: Calculate the greatest common divisor of 1037 and 2073022109. Soln: 1037 Q-: Calculate the greatest common factor of 924 and 4092. Soln: 132 Q-: What is the greatest common factor of 14 and 175? Soln: 7 Q-: What is the highest common divisor of 5852 and 56? Soln: 28 Q-: Calculate the greatest common factor of 29 and 22620. Soln: 29 Q-: What is the greatest common factor of 7409 and 239? Soln: 239 Q-: What is the highest common factor of 47 and 376? Soln: 47 Q-: What is the greatest common factor of 65657887 and 6847? Soln: 167 Q-: Calculate the greatest common factor of 32 and 80. Soln: 16 Q-: Calculate the greatest common divisor of 17 and 9970381. Soln: 17 Q-: Calculate the highest common divisor of 2 and 50. Soln: 2 Q-: What is the highest common divisor of 897 and 46? Soln: 23 Q-: What is the highest common factor of 36 and 900? Soln: 36 Q-: Calculate the greatest common factor of 73014 and 129. Soln: 129 Q-: Calculate the greatest common factor of 180 and 438012. Soln: 36 Q-: Calculate the greatest common factor of 1799 and 10724. Soln: 7 Q-: What is the highest common factor of 34554 and 234? Soln: 78 Q-: What is the highest common divisor of 168 and 1684968? Soln: 24 Q-: Calculate the greatest common factor of 848 and 29256. Soln: 424 Q-: Calculate the highest common factor of 7 and 14369. Soln: 1 Q-: Calculate the highest common factor of 1176 and 8. Soln: 8 Q-: Calculate the greatest common divi
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probability: swr p level set ---------------------------- Subquestion: Calculate prob of picking 3 l and 1 b when four letters picked without replacement from bblbbbbbbll. Sol: 4/165 Subquestion: Four letters picked without replacement from rxrlrexreczrrxzrre. Give prob of picking 1 x, 1 z, and 2 e. Sol: 1/170 Subquestion: Three letters picked without replacement from mafuuufvuyufuuuav. Give prob of picking 1 v, 1 y, and 1 m. Sol: 1/340 Subquestion: Four letters picked without replacement from hppphhsshshhshhgshs. Give prob of picking 3 h and 1 g. Sol: 7/323 Subquestion: What is prob of picking 1 d and 2 l when three letters picked without replacement from {o: 2, l: 2, h: 4, k: 9, d: 2, w: 1}? Sol: 1/570 Subquestion: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from {u: 7, s: 12}. Sol: 84/323 Subquestion: What is prob of picking 3 s and 1 e when four letters picked without replacement from {s: 16, e: 2}? Sol: 56/153 Subquestion: Three letters picked without replacement from {p: 4, z: 1, j: 1, i: 3, e: 1, h: 2}. What is prob of picking 2 h and 1 i? Sol: 3/220 Subquestion: Calculate prob of picking 2 i when two letters picked without replacement from {k: 1, d: 1, t: 1, i: 2}. Sol: 1/10 Subquestion: Calculate prob of picking 3 a when three letters picked without replacement from {a: 9}. Sol: 1 Subquestion: Calculate prob of picking 4 x when four letters picked without replacement from {x: 12, d: 3}. Sol: 33/91 Subquestion: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from cuuziiuzuiiiuiuzz. Sol: 1/34 Subquestion: Three letters picked without replacement from nmfxfmyn. Give prob of picking 1 n, 1 f, and 1 x. Sol: 1/14 Subquestion: Four letters picked without replacement from qppplqqppptt. Give prob of picking 2 t, 1 q, and 1 p. Sol: 2/55 Subquestion: Calculate prob of picking 3 z when three letters picked without replacement from zzzzazzzzzzzzzzzzz. Sol: 5/6 Subquestion: What is prob of picking
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measurement: time ----------------- Qn: What is 38 minutes after 5:54 PM? Solution: 6:32 PM Qn: How many minutes are there between 8:57 PM and 6:56 AM? Solution: 599 Qn: What is 167 minutes before 1:05 AM? Solution: 10:18 PM Qn: What is 398 minutes after 4:26 AM? Solution: 11:04 AM Qn: How many minutes are there between 10:39 AM and 9:07 PM? Solution: 628 Qn: What is 341 minutes before 9:07 AM? Solution: 3:26 AM Qn: How many minutes are there between 10:50 PM and 9:18 AM? Solution: 628 Qn: How many minutes are there between 4:21 AM and 1:13 PM? Solution: 532 Qn: What is 27 minutes after 9:50 AM? Solution: 10:17 AM Qn: What is 507 minutes after 9:11 AM? Solution: 5:38 PM Qn: What is 244 minutes before 8:11 AM? Solution: 4:07 AM Qn: How many minutes are there between 7:53 AM and 1:18 PM? Solution: 325 Qn: How many minutes are there between 9:48 PM and 1:25 AM? Solution: 217 Qn: How many minutes are there between 12:07 AM and 2:07 AM? Solution: 120 Qn: How many minutes are there between 12:34 AM and 11:51 AM? Solution: 677 Qn: How many minutes are there between 2:59 AM and 10:00 AM? Solution: 421 Qn: What is 318 minutes before 12:24 PM? Solution: 7:06 AM Qn: What is 715 minutes after 8:01 PM? Solution: 7:56 AM Qn: How many minutes are there between 3:57 PM and 10:23 PM? Solution: 386 Qn: What is 33 minutes after 3:09 PM? Solution: 3:42 PM Qn: What is 207 minutes after 10:51 PM? Solution: 2:18 AM Qn: How many minutes are there between 9:28 AM and 1:54 PM? Solution: 266 Qn: How many minutes are there between 10:40 PM and 1:30 AM? Solution: 170 Qn: How many minutes are there between 11:42 PM and 3:05 AM? Solution: 203 Qn: How many minutes are there between 5:20 AM and 7:49 AM? Solution: 149 Qn: How many minutes are there between 2:49 PM and 6:18 PM? Solution: 209 Qn: How many minutes are there between 12:07 PM and 1:35 PM? Solution: 88 Qn: How many minutes are there between 1:55 PM and 7:50 PM? Solution: 355 Qn: How many minutes are there between 9:48 AM and 12:59 PM? Sol
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probability: swr p sequence --------------------------- Q: Calculate prob of sequence vg when two letters picked without replacement from {l: 1, g: 4, a: 9, v: 1}. Yields: 2/105 Q: What is prob of sequence ncn when three letters picked without replacement from ccccncccccccccccccn? Yields: 1/171 Q: Three letters picked without replacement from oeejeecejeoceoc. What is prob of sequence oce? Yields: 3/130 Q: What is prob of sequence prz when three letters picked without replacement from zrzzzzzpzrp? Yields: 14/495 Q: Two letters picked without replacement from hgphghpghhgphhhh. Give prob of sequence gh. Yields: 3/20 Q: What is prob of sequence aym when three letters picked without replacement from wcywmai? Yields: 1/210 Q: Calculate prob of sequence topt when four letters picked without replacement from xcpctxgxgoccxt. Yields: 1/12012 Q: Three letters picked without replacement from {j: 3, s: 2, r: 1, q: 10, k: 3}. What is prob of sequence rsk? Yields: 1/969 Q: Two letters picked without replacement from {d: 7, f: 4}. Give prob of sequence dd. Yields: 21/55 Q: Two letters picked without replacement from {u: 4, o: 3}. Give prob of sequence ou. Yields: 2/7 Q: Two letters picked without replacement from ahcucuchwawcw. Give prob of sequence cw. Yields: 1/13 Q: Four letters picked without replacement from {w: 1, s: 3, a: 1, l: 1, j: 1}. What is prob of sequence wlss? Yields: 1/140 Q: Calculate prob of sequence wbgl when four letters picked without replacement from {g: 2, h: 1, b: 1, w: 1, l: 1, u: 2}. Yields: 1/840 Q: Two letters picked without replacement from kncinqcincqiss. What is prob of sequence ci? Yields: 9/182 Q: Four letters picked without replacement from {a: 4, i: 1, c: 1, t: 8, x: 6}. What is prob of sequence tacx? Yields: 8/4845 Q: Three letters picked without replacement from {h: 2, r: 1, t: 1, s: 1}. Give prob of sequence hrh. Yields: 1/30 Q: Calculate prob of sequence oou when three letters picked without replacement from {u: 3, o: 4}. Yields: 6/35 Q: Four
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measurement: conversion ----------------------- Challenge: How many centimeters are there in sixty-one halves of a meter? Response: 3050 Challenge: Convert 24675.9mg to tonnes. Response: 0.0000246759 Challenge: How many millilitres are there in 3/8 of a litre? Response: 375 Challenge: What is 15/4 of a year in months? Response: 45 Challenge: How many hours are there in 7.452896 days? Response: 178.869504 Challenge: How many nanometers are there in 0.3520979 centimeters? Response: 3520979 Challenge: How many months are there in 0.2198245 centuries? Response: 263.7894 Challenge: What is 21/5 of a millennium in centuries? Response: 42 Challenge: What is one twentieth of a minute in seconds? Response: 3 Challenge: How many kilograms are there in 23836.07t? Response: 23836070 Challenge: How many millimeters are there in 3/5 of a centimeter? Response: 6 Challenge: How many months are there in one twentieth of a century? Response: 60 Challenge: How many millilitres are there in 55/2 of a litre? Response: 27500 Challenge: How many milliseconds are there in 21/5 of a second? Response: 4200 Challenge: What is one quarter of a millennium in months? Response: 3000 Challenge: What is 12/25 of a micrometer in nanometers? Response: 480 Challenge: How many decades are there in 6/5 of a century? Response: 12 Challenge: What is twenty-one halves of a litre in millilitres? Response: 10500 Challenge: How many nanograms are there in 1/4 of a microgram? Response: 250 Challenge: What is 23.74252 hours in microseconds? Response: 85473072000 Challenge: How many millilitres are there in 13/4 of a litre? Response: 3250 Challenge: What is twenty-one fifths of a millennium in decades? Response: 420 Challenge: What is 6.251331 millilitres in litres? Response: 0.006251331 Challenge: What is seven halves of a centimeter in millimeters? Response: 35 Challenge: How many milligrams are there in 4.420373 grams? Response: 4420.373 Challenge: What is 121222.6ms in microseconds? Response: 121222600 Chall
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measurement: time ----------------- Qn: What is 504 minutes before 11:39 AM? Resolution: 3:15 AM Qn: What is 251 minutes after 3:02 AM? Resolution: 7:13 AM Qn: What is 573 minutes after 12:18 AM? Resolution: 9:51 AM Qn: How many minutes are there between 8:47 AM and 4:35 PM? Resolution: 468 Qn: What is 62 minutes after 12:38 AM? Resolution: 1:40 AM Qn: How many minutes are there between 5:27 AM and 8:00 AM? Resolution: 153 Qn: How many minutes are there between 1:29 PM and 3:05 PM? Resolution: 96 Qn: How many minutes are there between 7:40 AM and 2:41 PM? Resolution: 421 Qn: What is 704 minutes after 12:58 PM? Resolution: 12:42 AM Qn: How many minutes are there between 3:54 PM and 1:26 AM? Resolution: 572 Qn: How many minutes are there between 7:15 PM and 9:16 PM? Resolution: 121 Qn: What is 251 minutes before 11:58 PM? Resolution: 7:47 PM Qn: How many minutes are there between 7:46 AM and 4:45 PM? Resolution: 539 Qn: What is 676 minutes after 9:43 PM? Resolution: 8:59 AM Qn: What is 97 minutes before 2:41 PM? Resolution: 1:04 PM Qn: What is 644 minutes after 9:30 PM? Resolution: 8:14 AM Qn: What is 305 minutes after 3:17 AM? Resolution: 8:22 AM Qn: What is 6 minutes after 10:53 PM? Resolution: 10:59 PM Qn: How many minutes are there between 5:43 PM and 4:43 AM? Resolution: 660 Qn: What is 121 minutes after 7:27 AM? Resolution: 9:28 AM Qn: What is 587 minutes after 7:12 PM? Resolution: 4:59 AM Qn: What is 578 minutes before 12:35 AM? Resolution: 2:57 PM Qn: What is 142 minutes after 2:24 AM? Resolution: 4:46 AM Qn: How many minutes are there between 3:36 AM and 5:17 AM? Resolution: 101 Qn: How many minutes are there between 8:41 AM and 4:29 PM? Resolution: 468 Qn: What is 62 minutes after 2:37 PM? Resolution: 3:39 PM Qn: How many minutes are there between 8:15 AM and 8:09 PM? Resolution: 714 Qn: What is 459 minutes before 11:28 PM? Resolution: 3:49 PM Qn: What is 408 minutes before 8:01 PM? Resolution: 1:13 PM Qn: How many minutes are there between 8:36 PM and 8:13
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measurement: conversion ----------------------- Test item: Convert 0.8459524ug to grams. Reply: 0.0000008459524 Test item: How many centimeters are there in twenty-five quarters of a meter? Reply: 625 Test item: What is 12/25 of a litre in millilitres? Reply: 480 Test item: How many meters are there in 3/50 of a kilometer? Reply: 60 Test item: How many nanometers are there in 10983.18 centimeters? Reply: 109831800000 Test item: What is 1/10 of a tonne in kilograms? Reply: 100 Test item: How many millilitres are there in 32/5 of a litre? Reply: 6400 Test item: Convert 451703.6 nanograms to kilograms. Reply: 0.0000004517036 Test item: How many nanograms are there in 21/5 of a microgram? Reply: 4200 Test item: How many decades are there in 1.566906 months? Reply: 0.01305755 Test item: How many meters are there in 9564.082km? Reply: 9564082 Test item: How many micrograms are there in 13/5 of a milligram? Reply: 2600 Test item: What is 57/2 of a kilogram in grams? Reply: 28500 Test item: What is 7.010594 micrograms in tonnes? Reply: 0.000000000007010594 Test item: What is 6236.403kg in grams? Reply: 6236403 Test item: How many centimeters are there in one fifth of a meter? Reply: 20 Test item: Convert 1294.353 milliseconds to hours. Reply: 0.0003595425 Test item: Convert 4200.05nm to kilometers. Reply: 0.00000000420005 Test item: Convert 6.73852 decades to years. Reply: 67.3852 Test item: What is 55451.34s in hours? Reply: 15.40315 Test item: What is 17/4 of a year in months? Reply: 51 Test item: What is 74/3 of a hour in minutes? Reply: 1480 Test item: How many millilitres are there in 91.86384l? Reply: 91863.84 Test item: How many micrometers are there in 0.4629904cm? Reply: 4629.904 Test item: How many months are there in 29/5 of a century? Reply: 6960 Test item: What is 54089.4 litres in millilitres? Reply: 54089400 Test item: How many kilograms are there in 0.9528113ug? Reply: 0.0000000009528113 Test item: Convert 548.0974 millilitres to litres. Reply: 0.5480974 Tes
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measurement: time ----------------- Input: What is 342 minutes before 12:48 AM? Soln: 7:06 PM Input: What is 320 minutes after 4:34 PM? Soln: 9:54 PM Input: How many minutes are there between 6:39 PM and 9:54 PM? Soln: 195 Input: How many minutes are there between 12:14 AM and 6:27 AM? Soln: 373 Input: How many minutes are there between 6:46 AM and 9:57 AM? Soln: 191 Input: What is 660 minutes after 1:42 AM? Soln: 12:42 PM Input: What is 625 minutes after 11:56 AM? Soln: 10:21 PM Input: How many minutes are there between 3:16 AM and 10:54 AM? Soln: 458 Input: How many minutes are there between 3:40 AM and 2:14 PM? Soln: 634 Input: What is 456 minutes after 10:07 AM? Soln: 5:43 PM Input: What is 342 minutes after 1:39 PM? Soln: 7:21 PM Input: What is 589 minutes before 3:37 AM? Soln: 5:48 PM Input: How many minutes are there between 11:30 AM and 8:20 PM? Soln: 530 Input: How many minutes are there between 10:33 PM and 6:21 AM? Soln: 468 Input: What is 624 minutes after 12:26 AM? Soln: 10:50 AM Input: How many minutes are there between 7:30 AM and 10:21 AM? Soln: 171 Input: How many minutes are there between 7:33 AM and 10:39 AM? Soln: 186 Input: How many minutes are there between 8:45 PM and 10:21 PM? Soln: 96 Input: How many minutes are there between 7:43 PM and 6:00 AM? Soln: 617 Input: How many minutes are there between 12:38 AM and 6:45 AM? Soln: 367 Input: What is 44 minutes before 12:56 PM? Soln: 12:12 PM Input: What is 373 minutes after 2:21 AM? Soln: 8:34 AM Input: What is 286 minutes after 3:37 PM? Soln: 8:23 PM Input: How many minutes are there between 2:55 PM and 6:55 PM? Soln: 240 Input: How many minutes are there between 1:50 PM and 5:48 PM? Soln: 238 Input: What is 82 minutes after 2:42 AM? Soln: 4:04 AM Input: What is 67 minutes after 10:53 PM? Soln: 12:00 AM Input: What is 481 minutes before 1:43 PM? Soln: 5:42 AM Input: How many minutes are there between 10:45 PM and 6:57 AM? Soln: 492 Input: How many minutes are there between 4:51 AM and 1:58 PM? So
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arithmetic: nearest integer root -------------------------------- Q: What is the fourth root of 882 to the nearest integer? Key: 5 Q: What is 5036 to the power of 1/10, to the nearest integer? Key: 2 Q: What is the fourth root of 924 to the nearest integer? Key: 6 Q: What is the eighth root of 3146818 to the nearest integer? Key: 6 Q: What is the seventh root of 195405 to the nearest integer? Key: 6 Q: What is the third root of 2746 to the nearest integer? Key: 14 Q: What is 23584026 to the power of 1/2, to the nearest integer? Key: 4856 Q: What is the square root of 5448 to the nearest integer? Key: 74 Q: What is the cube root of 2787092 to the nearest integer? Key: 141 Q: What is 622782881 to the power of 1/2, to the nearest integer? Key: 24956 Q: What is the square root of 3588649 to the nearest integer? Key: 1894 Q: What is 1521124 to the power of 1/9, to the nearest integer? Key: 5 Q: What is 1835269 to the power of 1/3, to the nearest integer? Key: 122 Q: What is 188690867 to the power of 1/7, to the nearest integer? Key: 15 Q: What is 16364582 to the power of 1/2, to the nearest integer? Key: 4045 Q: What is 3648668 to the power of 1/6, to the nearest integer? Key: 12 Q: What is the square root of 54918 to the nearest integer? Key: 234 Q: What is the cube root of 12684259 to the nearest integer? Key: 233 Q: What is 3074051 to the power of 1/3, to the nearest integer? Key: 145 Q: What is the square root of 1895 to the nearest integer? Key: 44 Q: What is the ninth root of 42514467 to the nearest integer? Key: 7 Q: What is 3720 to the power of 1/3, to the nearest integer? Key: 15 Q: What is 3875 to the power of 1/2, to the nearest integer? Key: 62 Q: What is 61538412 to the power of 1/8, to the nearest integer? Key: 9 Q: What is the square root of 19375 to the nearest integer? Key: 139 Q: What is the cube root of 29927996 to the nearest integer? Key: 310 Q: What is the sixth root of 28744 to the nearest integer? Key: 6 Q: What is 45881667 to the power of 1/2, to
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numbers: gcd ------------ Subject: What is the highest common divisor of 1956 and 78? Answer: 6 Subject: Calculate the greatest common factor of 196 and 16. Answer: 4 Subject: Calculate the greatest common factor of 827355 and 285. Answer: 285 Subject: What is the highest common factor of 163900230 and 390? Answer: 390 Subject: Calculate the highest common divisor of 77 and 35827. Answer: 11 Subject: Calculate the highest common factor of 10 and 9370. Answer: 10 Subject: Calculate the highest common divisor of 264 and 24. Answer: 24 Subject: Calculate the greatest common factor of 267 and 6319. Answer: 89 Subject: What is the greatest common factor of 57267 and 12019? Answer: 707 Subject: Calculate the highest common divisor of 104000 and 1560. Answer: 520 Subject: Calculate the greatest common factor of 42618445 and 10. Answer: 5 Subject: What is the greatest common factor of 10720 and 4846780? Answer: 1340 Subject: Calculate the highest common factor of 688 and 2022290. Answer: 86 Subject: Calculate the highest common divisor of 48 and 792. Answer: 24 Subject: Calculate the greatest common factor of 999878 and 6533. Answer: 47 Subject: What is the greatest common factor of 5340 and 6? Answer: 6 Subject: Calculate the greatest common factor of 154514 and 46. Answer: 46 Subject: What is the greatest common divisor of 2492 and 7559? Answer: 1 Subject: What is the highest common factor of 775 and 2077? Answer: 31 Subject: What is the greatest common divisor of 638680 and 80? Answer: 40 Subject: Calculate the highest common factor of 878892 and 12. Answer: 12 Subject: What is the highest common divisor of 42144690 and 3990? Answer: 210 Subject: What is the highest common divisor of 3555 and 30580? Answer: 5 Subject: Calculate the greatest common factor of 35 and 56645. Answer: 5 Subject: Calculate the highest common divisor of 136370 and 1300. Answer: 130 Subject: Calculate the highest common divisor of 16817 and 1273. Answer: 67 Subject: Calculate the greatest common
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probability: swr p level set ---------------------------- Item: Two letters picked without replacement from wwdw. What is prob of picking 2 w? Response: 1/2 Item: Two letters picked without replacement from njjjnjnjnnjjn. Give prob of picking 2 n. Response: 5/26 Item: Three letters picked without replacement from pppppcpcpp. What is prob of picking 2 c and 1 p? Response: 1/15 Item: Three letters picked without replacement from {l: 2, z: 3}. Give prob of picking 3 z. Response: 1/10 Item: Calculate prob of picking 3 u when three letters picked without replacement from {u: 3}. Response: 1 Item: Calculate prob of picking 2 m and 1 u when three letters picked without replacement from {c: 4, m: 2, u: 1, z: 2, x: 2, y: 1}. Response: 1/220 Item: Calculate prob of picking 1 d and 3 v when four letters picked without replacement from {d: 7, v: 5}. Response: 14/99 Item: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, y: 2}. Response: 3/10 Item: Calculate prob of picking 3 s when three letters picked without replacement from {q: 3, s: 3}. Response: 1/20 Item: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {j: 2, n: 3, u: 1, z: 4}. Response: 2/45 Item: What is prob of picking 1 v, 1 s, and 1 r when three letters picked without replacement from {r: 7, n: 2, g: 2, s: 2, v: 2}? Response: 4/65 Item: Calculate prob of picking 1 t and 2 a when three letters picked without replacement from taaaaaaaaaaaaaaaaa. Response: 1/6 Item: Three letters picked without replacement from {l: 1, o: 1, n: 1, b: 3, j: 1}. Give prob of picking 1 o, 1 l, and 1 b. Response: 3/35 Item: Four letters picked without replacement from {q: 1, x: 7, a: 3, i: 5}. What is prob of picking 1 q, 1 x, and 2 i? Response: 1/26 Item: Calculate prob of picking 2 p and 2 a when four letters picked without replacement from iapiippapapipppi. Response: 3/65 Item: Three letters picked without replacement from {t: 8, s: 2}. Give prob of picking 1 t and
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arithmetic: nearest integer root -------------------------------- Puzzle: What is 235757128 to the power of 1/9, to the nearest integer? Finding: 9 Puzzle: What is 4251 to the power of 1/3, to the nearest integer? Finding: 16 Puzzle: What is the square root of 3209928 to the nearest integer? Finding: 1792 Puzzle: What is the ninth root of 1024912 to the nearest integer? Finding: 5 Puzzle: What is the fifth root of 2049766 to the nearest integer? Finding: 18 Puzzle: What is the eighth root of 6123 to the nearest integer? Finding: 3 Puzzle: What is 20054378 to the power of 1/5, to the nearest integer? Finding: 29 Puzzle: What is 23748 to the power of 1/3, to the nearest integer? Finding: 29 Puzzle: What is 11292635 to the power of 1/2, to the nearest integer? Finding: 3360 Puzzle: What is 9731675 to the power of 1/3, to the nearest integer? Finding: 213 Puzzle: What is the third root of 212563974 to the nearest integer? Finding: 597 Puzzle: What is the third root of 2882 to the nearest integer? Finding: 14 Puzzle: What is 32119991 to the power of 1/6, to the nearest integer? Finding: 18 Puzzle: What is 129945864 to the power of 1/7, to the nearest integer? Finding: 14 Puzzle: What is 16604740 to the power of 1/2, to the nearest integer? Finding: 4075 Puzzle: What is the square root of 6255018 to the nearest integer? Finding: 2501 Puzzle: What is the square root of 4524 to the nearest integer? Finding: 67 Puzzle: What is the fourth root of 12615 to the nearest integer? Finding: 11 Puzzle: What is 5608 to the power of 1/2, to the nearest integer? Finding: 75 Puzzle: What is 1437951661 to the power of 1/2, to the nearest integer? Finding: 37920 Puzzle: What is the third root of 313960749 to the nearest integer? Finding: 680 Puzzle: What is 107221382 to the power of 1/8, to the nearest integer? Finding: 10 Puzzle: What is 34422869 to the power of 1/2, to the nearest integer? Finding: 5867 Puzzle: What is the fifth root of 103 to the nearest integer? Finding: 3 Puzzle: Wha
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probability: swr p sequence --------------------------- Statement: Two letters picked without replacement from {z: 7, v: 9, f: 2, p: 1}. What is prob of sequence fz? Answer: 7/171 Statement: Three letters picked without replacement from {x: 3, w: 2, u: 6, n: 4}. What is prob of sequence unx? Answer: 12/455 Statement: Four letters picked without replacement from ththhhhh. Give prob of sequence htht. Answer: 1/28 Statement: Three letters picked without replacement from ayasa. Give prob of sequence saa. Answer: 1/10 Statement: Calculate prob of sequence rrrr when four letters picked without replacement from krrrrrkrrkkrrrkkrrr. Answer: 715/3876 Statement: What is prob of sequence mkz when three letters picked without replacement from {i: 3, m: 1, b: 2, k: 1, t: 3, z: 2}? Answer: 1/660 Statement: Two letters picked without replacement from aaaanaaan. What is prob of sequence nn? Answer: 1/36 Statement: Three letters picked without replacement from {e: 4, f: 4, i: 5, d: 3, c: 3}. Give prob of sequence dde. Answer: 4/969 Statement: Two letters picked without replacement from {z: 1, l: 1, j: 4, k: 2, b: 8}. What is prob of sequence zk? Answer: 1/120 Statement: Three letters picked without replacement from {i: 14, x: 5}. Give prob of sequence xii. Answer: 455/2907 Statement: What is prob of sequence db when two letters picked without replacement from edbbebdqep? Answer: 1/15 Statement: What is prob of sequence ddlo when four letters picked without replacement from qlqlqtlcllddqoqq? Answer: 1/4368 Statement: Four letters picked without replacement from xjjjfjxxxxxxxxxjx. Give prob of sequence ffxj. Answer: 0 Statement: Three letters picked without replacement from axxaxxxxrx. Give prob of sequence axx. Answer: 7/60 Statement: What is prob of sequence ln when two letters picked without replacement from {c: 6, e: 1, n: 2, q: 2, l: 7}? Answer: 7/153 Statement: Two letters picked without replacement from {p: 2, e: 4, c: 2}. Give prob of sequence pe. Answer: 1/7 Statement: Calcul
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numbers: gcd ------------ Inquiry: Calculate the greatest common divisor of 10990 and 14. Reply: 14 Inquiry: Calculate the highest common divisor of 790 and 617385. Reply: 395 Inquiry: Calculate the greatest common factor of 9720643 and 3231. Reply: 359 Inquiry: What is the greatest common factor of 399 and 1729? Reply: 133 Inquiry: What is the highest common divisor of 20 and 148? Reply: 4 Inquiry: What is the highest common divisor of 442 and 26? Reply: 26 Inquiry: Calculate the highest common factor of 44 and 6. Reply: 2 Inquiry: Calculate the greatest common divisor of 119 and 51. Reply: 17 Inquiry: Calculate the highest common factor of 108 and 837. Reply: 27 Inquiry: What is the highest common factor of 40 and 57340? Reply: 20 Inquiry: Calculate the highest common factor of 352 and 22. Reply: 22 Inquiry: Calculate the greatest common divisor of 143 and 3788939. Reply: 11 Inquiry: What is the greatest common factor of 833 and 35? Reply: 7 Inquiry: Calculate the greatest common divisor of 805881561 and 5073. Reply: 5073 Inquiry: What is the greatest common divisor of 4 and 20037? Reply: 1 Inquiry: What is the highest common divisor of 6636081 and 3378? Reply: 1689 Inquiry: What is the greatest common divisor of 347687 and 13490? Reply: 71 Inquiry: Calculate the greatest common divisor of 3090 and 107590710. Reply: 3090 Inquiry: Calculate the highest common factor of 144160 and 20128. Reply: 544 Inquiry: What is the highest common divisor of 16665 and 75? Reply: 15 Inquiry: Calculate the greatest common divisor of 25802 and 1434727. Reply: 679 Inquiry: Calculate the highest common divisor of 5244 and 5313. Reply: 69 Inquiry: What is the greatest common factor of 330 and 30? Reply: 30 Inquiry: Calculate the greatest common divisor of 17 and 901. Reply: 17 Inquiry: What is the highest common factor of 8232964 and 178432? Reply: 2788 Inquiry: Calculate the greatest common divisor of 247 and 52. Reply: 13 Inquiry: Calculate the greatest common factor of 217 and 28. R
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probability: swr p sequence --------------------------- Exercise: Two letters picked without replacement from {s: 6, x: 3, t: 2, a: 1}. What is prob of sequence at? Fix: 1/66 Exercise: Two letters picked without replacement from rtrttttttrt. What is prob of sequence rr? Fix: 3/55 Exercise: Calculate prob of sequence agtt when four letters picked without replacement from thattaatatatgaa. Fix: 1/156 Exercise: Two letters picked without replacement from mmmaymmyamaaaaa. Give prob of sequence my. Fix: 2/35 Exercise: Calculate prob of sequence wsss when four letters picked without replacement from wwsswwswwswswwwwwww. Fix: 35/3876 Exercise: Three letters picked without replacement from {g: 2, x: 2, r: 2, j: 5, o: 1, y: 2}. Give prob of sequence org. Fix: 1/546 Exercise: Two letters picked without replacement from {b: 5, g: 2}. What is prob of sequence bg? Fix: 5/21 Exercise: Four letters picked without replacement from {y: 11, n: 2}. What is prob of sequence nyyy? Fix: 3/26 Exercise: What is prob of sequence nn when two letters picked without replacement from {n: 2, p: 2, u: 1}? Fix: 1/10 Exercise: Two letters picked without replacement from rcdrco. Give prob of sequence rc. Fix: 2/15 Exercise: What is prob of sequence la when two letters picked without replacement from {y: 1, s: 1, l: 1, x: 1, a: 1}? Fix: 1/20 Exercise: Three letters picked without replacement from {r: 2, u: 3, q: 2, n: 6}. What is prob of sequence uqr? Fix: 1/143 Exercise: Calculate prob of sequence yi when two letters picked without replacement from {i: 2, y: 3}. Fix: 3/10 Exercise: Calculate prob of sequence rrq when three letters picked without replacement from {r: 6, q: 1, e: 3, p: 2, h: 3}. Fix: 1/91 Exercise: Four letters picked without replacement from wjozjzznwojobwwon. What is prob of sequence bnnj? Fix: 1/9520 Exercise: What is prob of sequence ee when two letters picked without replacement from {j: 2, e: 7}? Fix: 7/12 Exercise: Three letters picked without replacement from {k: 3}. Give prob
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numbers: is prime ----------------- Query: Is 6982248187 prime? Gives: False Query: Is 18199 a composite number? Gives: False Query: Is 9004733 prime? Gives: False Query: Is 1337 composite? Gives: True Query: Is 4441 a composite number? Gives: False Query: Is 27273 a composite number? Gives: True Query: Is 243920582 a composite number? Gives: True Query: Is 585768199 prime? Gives: True Query: Is 531547427 prime? Gives: False Query: Is 63929 composite? Gives: False Query: Is 550679 a prime number? Gives: True Query: Is 398077 a composite number? Gives: False Query: Is 59505607267 a prime number? Gives: False Query: Is 6552482 a composite number? Gives: True Query: Is 267037 prime? Gives: True Query: Is 71189 a prime number? Gives: False Query: Is 1277163749 prime? Gives: False Query: Is 7319455457 a prime number? Gives: True Query: Is 126396337 prime? Gives: False Query: Is 209249 a prime number? Gives: True Query: Is 2127911 a prime number? Gives: False Query: Is 144070677715 composite? Gives: True Query: Is 7951153 composite? Gives: True Query: Is 17965 a prime number? Gives: False Query: Is 5688672601 a composite number? Gives: False Query: Is 310391 a composite number? Gives: True Query: Is 25031 composite? Gives: False Query: Is 301229 a prime number? Gives: False Query: Is 909786599 composite? Gives: True Query: Is 562336057 composite? Gives: True Query: Is 5089 a prime number? Gives: False Query: Is 1140493 prime? Gives: True Query: Is 17594007 composite? Gives: True Query: Is 28235224033 a prime number? Gives: False Query: Is 45192899 a composite number? Gives: False Query: Is 13063 a prime number? Gives: True Query: Is 1252829 a composite number? Gives: True Query: Is 8206403 a prime number? Gives: True Query: Is 4012289 a composite number? Gives: True Query: Is 747444277 a prime number? Gives: True Query: Is 3877 a composite number? Gives: False Query: Is 263392409 a prime number? Gives: False Query: Is 380142265 composite? Gives: True Query: Is 269263013 p
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numbers: place value -------------------- Inquiry: What is the hundreds digit of 1541? Thus: 5 Inquiry: What is the tens digit of 759? Thus: 5 Inquiry: What is the ten thousands digit of 201637? Thus: 0 Inquiry: What is the millions digit of 127724279? Thus: 7 Inquiry: What is the millions digit of 1641712? Thus: 1 Inquiry: What is the hundreds digit of 53901926? Thus: 9 Inquiry: What is the ten millions digit of 323526994? Thus: 2 Inquiry: What is the hundred thousands digit of 1733185? Thus: 7 Inquiry: What is the thousands digit of 23052? Thus: 3 Inquiry: What is the hundreds digit of 1065919? Thus: 9 Inquiry: What is the units digit of 14302? Thus: 2 Inquiry: What is the ten millions digit of 45877614? Thus: 4 Inquiry: What is the units digit of 487? Thus: 7 Inquiry: What is the millions digit of 45040415? Thus: 5 Inquiry: What is the ten thousands digit of 36823720? Thus: 2 Inquiry: What is the units digit of 270868? Thus: 8 Inquiry: What is the hundred thousands digit of 25040543? Thus: 0 Inquiry: What is the ten thousands digit of 62809665? Thus: 0 Inquiry: What is the tens digit of 20134? Thus: 3 Inquiry: What is the units digit of 220624? Thus: 4 Inquiry: What is the hundreds digit of 314756? Thus: 7 Inquiry: What is the ten thousands digit of 510042? Thus: 1 Inquiry: What is the millions digit of 896109414? Thus: 6 Inquiry: What is the tens digit of 2627? Thus: 2 Inquiry: What is the thousands digit of 99306? Thus: 9 Inquiry: What is the millions digit of 31115809? Thus: 1 Inquiry: What is the units digit of 2402? Thus: 2 Inquiry: What is the tens digit of 27321257? Thus: 5 Inquiry: What is the thousands digit of 19910? Thus: 9 Inquiry: What is the hundred millions digit of 1411491104? Thus: 4 Inquiry: What is the hundreds digit of 86787? Thus: 7 Inquiry: What is the tens digit of 2609? Thus: 0 Inquiry: What is the millions digit of 8550819? Thus: 8 Inquiry: What is the billions digit of 2569887770? Thus: 2 Inquiry: What is the millions digit of 12677966?
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arithmetic: nearest integer root -------------------------------- Q.: What is the square root of 58761048 to the nearest integer? A.: 7666 Q.: What is 996703 to the power of 1/2, to the nearest integer? A.: 998 Q.: What is 358623 to the power of 1/6, to the nearest integer? A.: 8 Q.: What is 517158301 to the power of 1/2, to the nearest integer? A.: 22741 Q.: What is 679 to the power of 1/2, to the nearest integer? A.: 26 Q.: What is 29296013 to the power of 1/2, to the nearest integer? A.: 5413 Q.: What is the cube root of 234635 to the nearest integer? A.: 62 Q.: What is 60483 to the power of 1/3, to the nearest integer? A.: 39 Q.: What is 7673760431 to the power of 1/3, to the nearest integer? A.: 1972 Q.: What is the square root of 2473 to the nearest integer? A.: 50 Q.: What is the square root of 482207761 to the nearest integer? A.: 21959 Q.: What is the square root of 821565 to the nearest integer? A.: 906 Q.: What is the third root of 294159116 to the nearest integer? A.: 665 Q.: What is the ninth root of 38429496 to the nearest integer? A.: 7 Q.: What is the square root of 2008 to the nearest integer? A.: 45 Q.: What is the cube root of 2981579 to the nearest integer? A.: 144 Q.: What is 1357140 to the power of 1/3, to the nearest integer? A.: 111 Q.: What is 75283 to the power of 1/6, to the nearest integer? A.: 6 Q.: What is the third root of 1120886672 to the nearest integer? A.: 1039 Q.: What is the cube root of 2044 to the nearest integer? A.: 13 Q.: What is the eighth root of 1987200 to the nearest integer? A.: 6 Q.: What is the cube root of 596350931 to the nearest integer? A.: 842 Q.: What is 160906 to the power of 1/6, to the nearest integer? A.: 7 Q.: What is 758905467 to the power of 1/3, to the nearest integer? A.: 912 Q.: What is the third root of 30409587 to the nearest integer? A.: 312 Q.: What is 58478 to the power of 1/6, to the nearest integer? A.: 6 Q.: What is 1301 to the power of 1/7, to the nearest integer? A.: 3 Q.: What is 155703 to
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measurement: time ----------------- Subject: How many minutes are there between 8:31 AM and 3:30 PM? Soln: 419 Subject: How many minutes are there between 2:03 PM and 3:45 PM? Soln: 102 Subject: What is 250 minutes after 4:10 PM? Soln: 8:20 PM Subject: How many minutes are there between 11:21 AM and 10:37 PM? Soln: 676 Subject: How many minutes are there between 9:27 AM and 12:49 PM? Soln: 202 Subject: What is 689 minutes after 7:58 AM? Soln: 7:27 PM Subject: What is 237 minutes after 12:56 AM? Soln: 4:53 AM Subject: How many minutes are there between 6:17 PM and 8:56 PM? Soln: 159 Subject: How many minutes are there between 5:20 AM and 8:47 AM? Soln: 207 Subject: What is 175 minutes after 12:29 PM? Soln: 3:24 PM Subject: What is 42 minutes before 2:51 AM? Soln: 2:09 AM Subject: What is 543 minutes before 3:16 AM? Soln: 6:13 PM Subject: How many minutes are there between 3:27 PM and 8:22 PM? Soln: 295 Subject: What is 623 minutes after 8:14 PM? Soln: 6:37 AM Subject: What is 110 minutes before 7:00 AM? Soln: 5:10 AM Subject: How many minutes are there between 2:15 AM and 2:19 AM? Soln: 4 Subject: How many minutes are there between 4:05 PM and 12:33 AM? Soln: 508 Subject: What is 244 minutes after 2:01 AM? Soln: 6:05 AM Subject: What is 607 minutes after 10:29 PM? Soln: 8:36 AM Subject: What is 508 minutes before 11:07 AM? Soln: 2:39 AM Subject: How many minutes are there between 7:41 PM and 3:57 AM? Soln: 496 Subject: How many minutes are there between 6:17 PM and 10:56 PM? Soln: 279 Subject: How many minutes are there between 5:48 PM and 7:18 PM? Soln: 90 Subject: How many minutes are there between 10:49 PM and 8:36 AM? Soln: 587 Subject: How many minutes are there between 7:57 PM and 4:41 AM? Soln: 524 Subject: How many minutes are there between 1:21 AM and 10:57 AM? Soln: 576 Subject: What is 387 minutes after 8:40 PM? Soln: 3:07 AM Subject: What is 421 minutes before 1:08 AM? Soln: 6:07 PM Subject: How many minutes are there between 5:21 PM and 10:31 PM? Soln: 3
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numbers: lcm ------------ Situation: What is the common denominator of 39/865 and -49/4? Steps: 3460 Situation: What is the smallest common multiple of 123918 and 15? Steps: 619590 Situation: What is the smallest common multiple of 30750 and 106750? Steps: 13130250 Situation: What is the lowest common multiple of 225275 and 150? Steps: 1351650 Situation: What is the least common multiple of 12 and 2502? Steps: 5004 Situation: What is the lowest common multiple of 119711 and 3894? Steps: 7900926 Situation: Find the common denominator of 31/47619 and -40/21. Steps: 333333 Situation: Calculate the common denominator of -73/101046 and 23/8. Steps: 404184 Situation: Calculate the least common multiple of 5348 and 278. Steps: 743372 Situation: What is the common denominator of 93/247968626 and 109/22? Steps: 2727654886 Situation: What is the smallest common multiple of 14313 and 64545? Steps: 23688015 Situation: Find the common denominator of 101/108 and -47/1322577. Steps: 15870924 Situation: What is the smallest common multiple of 10 and 4? Steps: 20 Situation: What is the smallest common multiple of 3 and 1291519? Steps: 3874557 Situation: Calculate the least common multiple of 27 and 42. Steps: 378 Situation: Calculate the common denominator of -71/8120 and -79/580. Steps: 8120 Situation: What is the lowest common multiple of 17670 and 6510? Steps: 123690 Situation: Calculate the smallest common multiple of 5460 and 1806. Steps: 234780 Situation: What is the lowest common multiple of 67424 and 11565568? Steps: 497319424 Situation: Calculate the common denominator of 143/1120 and -27/80. Steps: 1120 Situation: What is the smallest common multiple of 2640 and 5540? Steps: 731280 Situation: What is the common denominator of -7/26 and 53/143? Steps: 286 Situation: Find the common denominator of 115/96162 and 79/78678. Steps: 865458 Situation: What is the smallest common multiple of 71933 and 27838071? Steps: 27838071 Situation: What is the smallest common multiple of 6867
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probability: swr p level set ---------------------------- Q): Two letters picked without replacement from ccccbccccccccccccccc. What is prob of picking 2 c? Therefore: 9/10 Q): Two letters picked without replacement from {q: 4, d: 2, h: 2}. Give prob of picking 2 h. Therefore: 1/28 Q): What is prob of picking 1 c and 2 e when three letters picked without replacement from {c: 1, b: 3, e: 5}? Therefore: 5/42 Q): Four letters picked without replacement from mliiiuiuimjjimz. Give prob of picking 2 j, 1 i, and 1 u. Therefore: 4/455 Q): Three letters picked without replacement from {h: 8, x: 4, b: 1}. Give prob of picking 3 x. Therefore: 2/143 Q): Two letters picked without replacement from {m: 7, u: 2}. What is prob of picking 1 m and 1 u? Therefore: 7/18 Q): Two letters picked without replacement from {f: 3, v: 1, u: 5}. What is prob of picking 1 v and 1 u? Therefore: 5/36 Q): Calculate prob of picking 1 t and 2 v when three letters picked without replacement from tvttttvvvtttvtttttv. Therefore: 65/323 Q): Calculate prob of picking 1 u and 2 l when three letters picked without replacement from ruzzzllrlzd. Therefore: 1/55 Q): What is prob of picking 2 i when two letters picked without replacement from {n: 2, i: 11, q: 1}? Therefore: 55/91 Q): What is prob of picking 1 b and 2 a when three letters picked without replacement from {b: 6, a: 4}? Therefore: 3/10 Q): Two letters picked without replacement from {m: 11, c: 2}. What is prob of picking 1 m and 1 c? Therefore: 11/39 Q): Three letters picked without replacement from {d: 4, k: 5, f: 5}. Give prob of picking 3 d. Therefore: 1/91 Q): Four letters picked without replacement from {c: 10, y: 4, v: 2}. What is prob of picking 2 v and 2 c? Therefore: 9/364 Q): Two letters picked without replacement from xxxtrwh. Give prob of picking 1 w and 1 x. Therefore: 1/7 Q): Calculate prob of picking 2 u when two letters picked without replacement from {l: 4, c: 5, u: 6}. Therefore: 1/7 Q): What is prob of picking 1 c, 1 w, and 1 f w
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measurement: time ----------------- Input: How many minutes are there between 11:23 PM and 8:30 AM? Calculation: 547 Input: What is 596 minutes after 9:47 AM? Calculation: 7:43 PM Input: What is 35 minutes before 8:29 PM? Calculation: 7:54 PM Input: What is 136 minutes after 8:29 AM? Calculation: 10:45 AM Input: How many minutes are there between 11:40 AM and 8:04 PM? Calculation: 504 Input: How many minutes are there between 7:17 PM and 6:12 AM? Calculation: 655 Input: How many minutes are there between 4:55 AM and 5:05 AM? Calculation: 10 Input: How many minutes are there between 9:24 AM and 1:48 PM? Calculation: 264 Input: How many minutes are there between 6:22 PM and 3:39 AM? Calculation: 557 Input: How many minutes are there between 3:44 PM and 11:57 PM? Calculation: 493 Input: What is 591 minutes before 7:44 AM? Calculation: 9:53 PM Input: What is 669 minutes after 5:00 PM? Calculation: 4:09 AM Input: How many minutes are there between 12:42 PM and 6:36 PM? Calculation: 354 Input: How many minutes are there between 7:51 PM and 5:43 AM? Calculation: 592 Input: What is 238 minutes before 5:21 AM? Calculation: 1:23 AM Input: What is 710 minutes before 9:40 AM? Calculation: 9:50 PM Input: How many minutes are there between 6:54 AM and 5:55 PM? Calculation: 661 Input: What is 525 minutes after 5:45 AM? Calculation: 2:30 PM Input: How many minutes are there between 8:27 AM and 7:19 PM? Calculation: 652 Input: What is 468 minutes before 4:12 AM? Calculation: 8:24 PM Input: What is 139 minutes before 11:17 AM? Calculation: 8:58 AM Input: How many minutes are there between 5:38 AM and 4:08 PM? Calculation: 630 Input: How many minutes are there between 3:37 PM and 1:20 AM? Calculation: 583 Input: What is 576 minutes after 8:42 AM? Calculation: 6:18 PM Input: How many minutes are there between 11:46 PM and 12:00 AM? Calculation: 14 Input: What is 591 minutes before 1:07 PM? Calculation: 3:16 AM Input: What is 342 minutes after 3:11 PM? Calculation: 8:53 PM Input: How ma
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measurement: conversion ----------------------- Let us solve: How many millilitres are there in 82288.96 litres? Result: 82288960 Let us solve: What is 1714.648 millilitres in litres? Result: 1.714648 Let us solve: Convert 57931.81 centuries to decades. Result: 579318.1 Let us solve: What is 66.96578 decades in centuries? Result: 6.696578 Let us solve: What is 21/8 of a century in months? Result: 3150 Let us solve: Convert 9773.517mm to centimeters. Result: 977.3517 Let us solve: How many milligrams are there in 1/5 of a gram? Result: 200 Let us solve: How many months are there in 0.9072702 decades? Result: 108.872424 Let us solve: What is 8.884227 months in decades? Result: 0.074035225 Let us solve: Convert 9.785341 millilitres to litres. Result: 0.009785341 Let us solve: How many days are there in 2747443.5 hours? Result: 114476.8125 Let us solve: How many millilitres are there in 297420.3l? Result: 297420300 Let us solve: What is 0.7355712 years in decades? Result: 0.07355712 Let us solve: What is 1323.205 weeks in microseconds? Result: 800274384000000 Let us solve: What is 3/8 of a microgram in nanograms? Result: 375 Let us solve: Convert 0.9470899ug to tonnes. Result: 0.0000000000009470899 Let us solve: How many millilitres are there in fifty-seven halves of a litre? Result: 28500 Let us solve: What is seventeen quarters of a year in months? Result: 51 Let us solve: What is eighteen fifths of a milligram in micrograms? Result: 3600 Let us solve: How many milligrams are there in 822.4413 micrograms? Result: 0.8224413 Let us solve: What is one fifth of a meter in centimeters? Result: 20 Let us solve: What is 553.2141l in millilitres? Result: 553214.1 Let us solve: What is 27/4 of a litre in millilitres? Result: 6750 Let us solve: How many milliseconds are there in 3/25 of a second? Result: 120 Let us solve: How many millilitres are there in seven eighths of a litre? Result: 875 Let us solve: How many decades are there in 21/4 of a millennium? Result: 525 Let us s
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numbers: is factor ------------------ Task: Does 19 divide 133888353? Derivation: False Task: Is 97 a factor of 35455? Derivation: False Task: Is 43 a factor of 828? Derivation: False Task: Is 323 a multiple of 87? Derivation: False Task: Is 7 a factor of 7213976? Derivation: True Task: Does 714 divide 993563130? Derivation: True Task: Does 67 divide 144503? Derivation: False Task: Is 1276390 a multiple of 5? Derivation: True Task: Is 5444381 a multiple of 85? Derivation: False Task: Is 167709 a multiple of 44? Derivation: False Task: Does 4380 divide 561464846? Derivation: False Task: Does 9 divide 1773? Derivation: True Task: Is 2043090 a multiple of 1229? Derivation: False Task: Is 7602 a multiple of 21? Derivation: True Task: Does 3442 divide 5816367? Derivation: False Task: Is 98 a factor of 5152? Derivation: False Task: Does 63 divide 201759? Derivation: False Task: Is 337753 a multiple of 139? Derivation: False Task: Is 7995 a multiple of 75? Derivation: False Task: Does 5 divide 13615? Derivation: True Task: Is 357 even? Derivation: False Task: Does 1039 divide 30088812? Derivation: False Task: Does 188 divide 3097? Derivation: False Task: Is 1440120 a multiple of 40? Derivation: True Task: Is 1396546446 a multiple of 17? Derivation: False Task: Is 750 a multiple of 2? Derivation: True Task: Is 2314434634 a multiple of 57? Derivation: False Task: Is 2 a factor of 69? Derivation: False Task: Does 34 divide 24018386? Derivation: False Task: Is 20 a factor of 8193500? Derivation: True Task: Is 15 a factor of 12547? Derivation: False Task: Is 3 a factor of 321? Derivation: True Task: Does 298 divide 423427902? Derivation: True Task: Does 92 divide 12103? Derivation: False Task: Is 701 a multiple of 9? Derivation: False Task: Does 19 divide 244? Derivation: False Task: Is 863 a factor of 91707558? Derivation: True Task: Is 27399 a multiple of 2? Derivation: False Task: Does 29 divide 3460? Derivation: False Task: Does 27 divide 59565? Derivation: False Task: Is 2
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numbers: gcd ------------ What if: What is the greatest common factor of 147941 and 15475? Sol: 619 What if: What is the greatest common divisor of 35 and 309505? Sol: 35 What if: Calculate the greatest common divisor of 74384 and 2384. Sol: 16 What if: What is the greatest common divisor of 1094 and 22427? Sol: 547 What if: What is the greatest common divisor of 90 and 280? Sol: 10 What if: Calculate the greatest common factor of 6270 and 342. Sol: 114 What if: Calculate the greatest common divisor of 71331 and 837. Sol: 93 What if: What is the greatest common factor of 2259990 and 540? Sol: 90 What if: What is the highest common divisor of 161 and 46? Sol: 23 What if: What is the greatest common factor of 14 and 161? Sol: 7 What if: What is the highest common divisor of 547116 and 588? Sol: 12 What if: Calculate the highest common divisor of 3874 and 427332. Sol: 298 What if: Calculate the highest common factor of 2506270 and 59995. Sol: 845 What if: What is the highest common factor of 482 and 16? Sol: 2 What if: What is the highest common factor of 195 and 57265? Sol: 65 What if: Calculate the highest common divisor of 10187 and 244. Sol: 61 What if: What is the highest common divisor of 6 and 33? Sol: 3 What if: What is the greatest common factor of 5876955 and 1190? Sol: 35 What if: Calculate the greatest common divisor of 30 and 1185. Sol: 15 What if: What is the greatest common divisor of 52 and 2116? Sol: 4 What if: Calculate the greatest common divisor of 8412 and 375592996. Sol: 2804 What if: Calculate the greatest common divisor of 231767455 and 5. Sol: 5 What if: Calculate the highest common factor of 493 and 2. Sol: 1 What if: Calculate the highest common divisor of 122 and 4270. Sol: 122 What if: Calculate the highest common divisor of 983235 and 3535. Sol: 505 What if: Calculate the highest common factor of 307834080 and 6. Sol: 6 What if: What is the highest common divisor of 245 and 147409640? Sol: 245 What if: What is the highest common factor of
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probability: swr p sequence --------------------------- Query: Three letters picked without replacement from {t: 1, w: 1, u: 3, i: 2, s: 4}. What is prob of sequence isw? Result: 4/495 Query: Calculate prob of sequence wi when two letters picked without replacement from iiiiiiiiiwiiiii. Result: 1/15 Query: Two letters picked without replacement from {r: 5, y: 2}. Give prob of sequence yy. Result: 1/21 Query: Three letters picked without replacement from fmfmmmm. What is prob of sequence mmm? Result: 2/7 Query: Calculate prob of sequence eee when three letters picked without replacement from {e: 3, s: 1}. Result: 1/4 Query: Four letters picked without replacement from {g: 1, b: 1, n: 6, w: 2, f: 2}. What is prob of sequence gwnf? Result: 1/495 Query: Three letters picked without replacement from ijucjc. What is prob of sequence jcu? Result: 1/30 Query: Calculate prob of sequence zccc when four letters picked without replacement from dthtdzcctzdch. Result: 1/1430 Query: Two letters picked without replacement from jjjjijjjijj. What is prob of sequence ij? Result: 9/55 Query: Calculate prob of sequence nmn when three letters picked without replacement from fxfnfnqfqnnmxnqfqnnm. Result: 7/570 Query: Calculate prob of sequence sms when three letters picked without replacement from smssmmm. Result: 4/35 Query: Calculate prob of sequence orvs when four letters picked without replacement from {e: 8, v: 1, o: 1, r: 1, s: 4, x: 1}. Result: 1/10920 Query: Calculate prob of sequence yrp when three letters picked without replacement from jypppypjryjpryypypry. Result: 49/2280 Query: Three letters picked without replacement from jbyjyty. Give prob of sequence jtb. Result: 1/105 Query: What is prob of sequence dk when two letters picked without replacement from kkdkqnsk? Result: 1/14 Query: Calculate prob of sequence uou when three letters picked without replacement from upouoxoooppx. Result: 1/132 Query: Calculate prob of sequence mmxr when four letters picked without replacement f
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numbers: is prime ----------------- Q: Is 123479 composite? Clarification: False Q: Is 134901799 prime? Clarification: True Q: Is 331854113931 a prime number? Clarification: False Q: Is 4003891277 prime? Clarification: True Q: Is 477854933 prime? Clarification: False Q: Is 2845093 a composite number? Clarification: True Q: Is 9677 composite? Clarification: False Q: Is 100907 prime? Clarification: True Q: Is 87836891 a composite number? Clarification: False Q: Is 58689255311 prime? Clarification: False Q: Is 307415 a composite number? Clarification: True Q: Is 157411 prime? Clarification: True Q: Is 13873 a prime number? Clarification: True Q: Is 17529163 composite? Clarification: False Q: Is 1996013 a prime number? Clarification: True Q: Is 25369 composite? Clarification: True Q: Is 296663 a composite number? Clarification: False Q: Is 20248380461 prime? Clarification: True Q: Is 191734948133 a composite number? Clarification: True Q: Is 95377 prime? Clarification: False Q: Is 2002785865 composite? Clarification: True Q: Is 3373961165 a prime number? Clarification: False Q: Is 461122 a prime number? Clarification: False Q: Is 261301 prime? Clarification: True Q: Is 600180211 prime? Clarification: True Q: Is 34842690743 composite? Clarification: True Q: Is 12295 composite? Clarification: True Q: Is 950031127 a prime number? Clarification: True Q: Is 599932267 a prime number? Clarification: False Q: Is 3663867533 prime? Clarification: True Q: Is 14845 composite? Clarification: True Q: Is 2991572069 a composite number? Clarification: False Q: Is 27967 a composite number? Clarification: False Q: Is 1091983 a prime number? Clarification: True Q: Is 501880319 a composite number? Clarification: False Q: Is 198267 a composite number? Clarification: True Q: Is 36692063 a composite number? Clarification: True Q: Is 4259106277 a composite number? Clarification: False Q: Is 186785 composite? Clarification: True Q: Is 66026 composite? Clarification: True Q: Is 415045 composite?
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probability: swr p sequence --------------------------- Query: Calculate prob of sequence ratu when four letters picked without replacement from aaaarmrtu. Key: 1/378 Query: What is prob of sequence xy when two letters picked without replacement from oyyyyoxoyyoyoyyv? Key: 3/80 Query: What is prob of sequence ccm when three letters picked without replacement from {a: 7, c: 4, d: 1, m: 8}? Key: 4/285 Query: Two letters picked without replacement from {g: 5, m: 14, b: 1}. What is prob of sequence bm? Key: 7/190 Query: Calculate prob of sequence aa when two letters picked without replacement from aaaaaa. Key: 1 Query: Four letters picked without replacement from {t: 6, i: 12, r: 1}. Give prob of sequence ittt. Key: 5/323 Query: Three letters picked without replacement from jjwbjbjcj. What is prob of sequence bjj? Key: 5/63 Query: Calculate prob of sequence drvd when four letters picked without replacement from {v: 4, o: 3, d: 3, r: 1}. Key: 1/330 Query: What is prob of sequence lm when two letters picked without replacement from lmlwtms? Key: 2/21 Query: Three letters picked without replacement from rreebrbbb. What is prob of sequence eer? Key: 1/84 Query: Two letters picked without replacement from ppypcyvyuou. What is prob of sequence oy? Key: 3/110 Query: Calculate prob of sequence wwtt when four letters picked without replacement from {t: 4, w: 14}. Key: 91/3060 Query: Three letters picked without replacement from rlslvsrulyls. What is prob of sequence lvr? Key: 1/165 Query: Calculate prob of sequence vjvq when four letters picked without replacement from jvvvjfqfjvvvjf. Key: 5/1001 Query: Two letters picked without replacement from vvtvvvvvvtvtvvvv. What is prob of sequence tt? Key: 1/40 Query: What is prob of sequence rr when two letters picked without replacement from {j: 1, r: 14}? Key: 13/15 Query: Calculate prob of sequence abb when three letters picked without replacement from bjjcjjjbjjajc. Key: 1/858 Query: Calculate prob of sequence tl when two letters pi
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arithmetic: nearest integer root -------------------------------- Ask: What is the eighth root of 125057 to the nearest integer? Compute: 4 Ask: What is 2057510 to the power of 1/3, to the nearest integer? Compute: 127 Ask: What is 5993 to the power of 1/2, to the nearest integer? Compute: 77 Ask: What is 13449357 to the power of 1/3, to the nearest integer? Compute: 238 Ask: What is 359382263 to the power of 1/8, to the nearest integer? Compute: 12 Ask: What is 30841837 to the power of 1/2, to the nearest integer? Compute: 5554 Ask: What is the ninth root of 35763 to the nearest integer? Compute: 3 Ask: What is the cube root of 219332148 to the nearest integer? Compute: 603 Ask: What is 51433 to the power of 1/9, to the nearest integer? Compute: 3 Ask: What is 26561 to the power of 1/6, to the nearest integer? Compute: 5 Ask: What is the eighth root of 22161 to the nearest integer? Compute: 3 Ask: What is the square root of 25282369 to the nearest integer? Compute: 5028 Ask: What is the fifth root of 376022 to the nearest integer? Compute: 13 Ask: What is 216524 to the power of 1/9, to the nearest integer? Compute: 4 Ask: What is the cube root of 77007 to the nearest integer? Compute: 43 Ask: What is 1029 to the power of 1/2, to the nearest integer? Compute: 32 Ask: What is 734153 to the power of 1/6, to the nearest integer? Compute: 9 Ask: What is 177176400 to the power of 1/2, to the nearest integer? Compute: 13311 Ask: What is the cube root of 1178411 to the nearest integer? Compute: 106 Ask: What is 49301922 to the power of 1/2, to the nearest integer? Compute: 7022 Ask: What is 1674089207 to the power of 1/2, to the nearest integer? Compute: 40916 Ask: What is the cube root of 2629 to the nearest integer? Compute: 14 Ask: What is the third root of 1222071 to the nearest integer? Compute: 107 Ask: What is 228690399 to the power of 1/3, to the nearest integer? Compute: 612 Ask: What is the third root of 36856 to the nearest integer? Compute: 33 Ask: What is 2900
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arithmetic: nearest integer root -------------------------------- Prompt: What is the square root of 1283206 to the nearest integer? Reply: 1133 Prompt: What is 2907296 to the power of 1/5, to the nearest integer? Reply: 20 Prompt: What is the square root of 179564 to the nearest integer? Reply: 424 Prompt: What is the square root of 220 to the nearest integer? Reply: 15 Prompt: What is the cube root of 298341 to the nearest integer? Reply: 67 Prompt: What is 54063 to the power of 1/8, to the nearest integer? Reply: 4 Prompt: What is 858072019 to the power of 1/2, to the nearest integer? Reply: 29293 Prompt: What is 28381721 to the power of 1/7, to the nearest integer? Reply: 12 Prompt: What is the square root of 81906 to the nearest integer? Reply: 286 Prompt: What is the square root of 30265050 to the nearest integer? Reply: 5501 Prompt: What is the square root of 13843 to the nearest integer? Reply: 118 Prompt: What is the fourth root of 173994207 to the nearest integer? Reply: 115 Prompt: What is 863936780 to the power of 1/3, to the nearest integer? Reply: 952 Prompt: What is the square root of 197622749 to the nearest integer? Reply: 14058 Prompt: What is 3264 to the power of 1/2, to the nearest integer? Reply: 57 Prompt: What is 7401551 to the power of 1/7, to the nearest integer? Reply: 10 Prompt: What is 963042 to the power of 1/2, to the nearest integer? Reply: 981 Prompt: What is the square root of 843323334 to the nearest integer? Reply: 29040 Prompt: What is 43608605 to the power of 1/10, to the nearest integer? Reply: 6 Prompt: What is 348396 to the power of 1/5, to the nearest integer? Reply: 13 Prompt: What is 5933 to the power of 1/5, to the nearest integer? Reply: 6 Prompt: What is 246 to the power of 1/2, to the nearest integer? Reply: 16 Prompt: What is the cube root of 944152822 to the nearest integer? Reply: 981 Prompt: What is 4095449 to the power of 1/3, to the nearest integer? Reply: 160 Prompt: What is the fourth root of 2449455241 to the n
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probability: swr p sequence --------------------------- Request: What is prob of sequence yi when two letters picked without replacement from {i: 5, y: 5, a: 2, c: 7}? Solution: 25/342 Request: Calculate prob of sequence ht when two letters picked without replacement from {t: 1, o: 1, h: 1}. Solution: 1/6 Request: Three letters picked without replacement from lllllymllymmlylyllll. What is prob of sequence lym? Solution: 13/570 Request: Two letters picked without replacement from {y: 8, s: 3}. What is prob of sequence ys? Solution: 12/55 Request: What is prob of sequence wc when two letters picked without replacement from {w: 2, k: 2, f: 3, c: 3, l: 4, n: 4}? Solution: 1/51 Request: What is prob of sequence ew when two letters picked without replacement from weyewxz? Solution: 2/21 Request: Calculate prob of sequence bub when three letters picked without replacement from bubuuuuuuuuuubuuuu. Solution: 5/272 Request: Three letters picked without replacement from {r: 2, j: 1, w: 4, m: 3, s: 3, x: 3}. What is prob of sequence rjm? Solution: 1/560 Request: What is prob of sequence yay when three letters picked without replacement from yayyyyyyyayayaayyy? Solution: 65/408 Request: Four letters picked without replacement from {u: 2, w: 2, o: 4, e: 2, j: 1, g: 8}. What is prob of sequence ejoe? Solution: 1/11628 Request: Two letters picked without replacement from ttpemttotetttty. What is prob of sequence yt? Solution: 3/70 Request: What is prob of sequence ln when two letters picked without replacement from {l: 8, n: 2}? Solution: 8/45 Request: Calculate prob of sequence eff when three letters picked without replacement from hhfhehf. Solution: 1/105 Request: Four letters picked without replacement from ooouu. Give prob of sequence ouuo. Solution: 1/10 Request: What is prob of sequence ttts when four letters picked without replacement from sttsttsssvtsts? Solution: 5/143 Request: What is prob of sequence oo when two letters picked without replacement from ommmeemommmmmme? So
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probability: swr p level set ---------------------------- Problem #: Two letters picked without replacement from {i: 3, k: 1}. What is prob of picking 2 i? A: 1/2 Problem #: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {r: 4, w: 1, m: 1, o: 4, a: 6}. A: 2/15 Problem #: What is prob of picking 3 o and 1 m when four letters picked without replacement from {m: 1, o: 7}? A: 1/2 Problem #: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from {t: 1, j: 1, c: 1, f: 1, a: 1, u: 2}. A: 1/21 Problem #: Two letters picked without replacement from geeggegrg. What is prob of picking 1 r and 1 g? A: 5/36 Problem #: Two letters picked without replacement from nhrnhhrhhhnhhrhss. What is prob of picking 1 s and 1 n? A: 3/68 Problem #: What is prob of picking 1 h and 1 b when two letters picked without replacement from hhbgugto? A: 1/14 Problem #: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {b: 6, u: 2, n: 3, r: 1, t: 2}. A: 18/91 Problem #: Calculate prob of picking 2 x, 1 n, and 1 s when four letters picked without replacement from oxobnsosssxobbopx. A: 3/595 Problem #: Three letters picked without replacement from {k: 8, c: 4, n: 2, b: 1}. What is prob of picking 2 k and 1 b? A: 4/65 Problem #: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {l: 2, n: 3, d: 2, v: 2}. A: 1/9 Problem #: Calculate prob of picking 3 s when three letters picked without replacement from {s: 7, g: 1}. A: 5/8 Problem #: Calculate prob of picking 3 i and 1 k when four letters picked without replacement from {i: 5, k: 2, u: 9}. A: 1/91 Problem #: Two letters picked without replacement from ppppppkppkkkkppppp. Give prob of picking 1 p and 1 k. A: 65/153 Problem #: What is prob of picking 1 n, 1 m, and 1 x when three letters picked without replacement from noxmxoooooxomx? A: 2/91 Problem #: Four letters picked without replacement from jrjojjoroojrdzr. Gi
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numbers: div remainder ---------------------- Challenge: What is the remainder when 129036 is divided by 63579? Compute: 1878 Challenge: Calculate the remainder when 264187 is divided by 629. Compute: 7 Challenge: What is the remainder when 159 is divided by 24? Compute: 15 Challenge: Calculate the remainder when 30389664 is divided by 127. Compute: 88 Challenge: Calculate the remainder when 2897 is divided by 14. Compute: 13 Challenge: Calculate the remainder when 80449 is divided by 3215. Compute: 74 Challenge: Calculate the remainder when 1128 is divided by 16. Compute: 8 Challenge: Calculate the remainder when 844 is divided by 86. Compute: 70 Challenge: What is the remainder when 1930515 is divided by 482621? Compute: 31 Challenge: Calculate the remainder when 25469 is divided by 4242. Compute: 17 Challenge: What is the remainder when 4914 is divided by 1627? Compute: 33 Challenge: What is the remainder when 47203245 is divided by 13? Compute: 11 Challenge: Calculate the remainder when 429878 is divided by 18. Compute: 2 Challenge: Calculate the remainder when 22125 is divided by 5524. Compute: 29 Challenge: What is the remainder when 54 is divided by 24? Compute: 6 Challenge: Calculate the remainder when 17493 is divided by 19. Compute: 13 Challenge: Calculate the remainder when 993 is divided by 246. Compute: 9 Challenge: Calculate the remainder when 1014 is divided by 131. Compute: 97 Challenge: Calculate the remainder when 3102 is divided by 1019. Compute: 45 Challenge: What is the remainder when 519657 is divided by 2903? Compute: 20 Challenge: Calculate the remainder when 2213 is divided by 169. Compute: 16 Challenge: Calculate the remainder when 12317 is divided by 4100. Compute: 17 Challenge: What is the remainder when 23637980 is divided by 2626438? Compute: 38 Challenge: What is the remainder when 108491 is divided by 73? Compute: 13 Challenge: What is the remainder when 36461 is divided by 143? Compute: 139 Challenge: Calculate the remainder when 543
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arithmetic: nearest integer root -------------------------------- Math Q: What is 35571 to the power of 1/9, to the nearest integer? Calculation: 3 Math Q: What is 1589393812 to the power of 1/8, to the nearest integer? Calculation: 14 Math Q: What is the square root of 523 to the nearest integer? Calculation: 23 Math Q: What is the seventh root of 2971476 to the nearest integer? Calculation: 8 Math Q: What is the square root of 15162685 to the nearest integer? Calculation: 3894 Math Q: What is the square root of 58757 to the nearest integer? Calculation: 242 Math Q: What is the eighth root of 1918227 to the nearest integer? Calculation: 6 Math Q: What is 631 to the power of 1/2, to the nearest integer? Calculation: 25 Math Q: What is the square root of 564820 to the nearest integer? Calculation: 752 Math Q: What is 1017 to the power of 1/2, to the nearest integer? Calculation: 32 Math Q: What is 517 to the power of 1/2, to the nearest integer? Calculation: 23 Math Q: What is the third root of 170443937 to the nearest integer? Calculation: 554 Math Q: What is 598968769 to the power of 1/3, to the nearest integer? Calculation: 843 Math Q: What is 161818065 to the power of 1/9, to the nearest integer? Calculation: 8 Math Q: What is the third root of 436122 to the nearest integer? Calculation: 76 Math Q: What is 2589 to the power of 1/2, to the nearest integer? Calculation: 51 Math Q: What is the seventh root of 77164166 to the nearest integer? Calculation: 13 Math Q: What is 251154 to the power of 1/2, to the nearest integer? Calculation: 501 Math Q: What is 369915077 to the power of 1/3, to the nearest integer? Calculation: 718 Math Q: What is the seventh root of 313925864 to the nearest integer? Calculation: 16 Math Q: What is 19166834 to the power of 1/2, to the nearest integer? Calculation: 4378 Math Q: What is 88240731 to the power of 1/2, to the nearest integer? Calculation: 9394 Math Q: What is 40362171 to the power of 1/9, to the nearest integer? Calculation:
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measurement: time ----------------- Inquiry: What is 102 minutes after 2:49 AM? Thus: 4:31 AM Inquiry: What is 576 minutes after 4:19 AM? Thus: 1:55 PM Inquiry: What is 520 minutes before 7:34 PM? Thus: 10:54 AM Inquiry: What is 374 minutes before 4:55 PM? Thus: 10:41 AM Inquiry: How many minutes are there between 9:56 AM and 8:08 PM? Thus: 612 Inquiry: How many minutes are there between 3:35 PM and 12:47 AM? Thus: 552 Inquiry: What is 251 minutes before 12:53 PM? Thus: 8:42 AM Inquiry: What is 110 minutes after 12:01 AM? Thus: 1:51 AM Inquiry: What is 50 minutes after 10:35 PM? Thus: 11:25 PM Inquiry: What is 296 minutes before 6:17 PM? Thus: 1:21 PM Inquiry: What is 665 minutes before 3:26 PM? Thus: 4:21 AM Inquiry: What is 508 minutes before 2:16 AM? Thus: 5:48 PM Inquiry: What is 517 minutes after 3:55 PM? Thus: 12:32 AM Inquiry: How many minutes are there between 7:26 PM and 4:03 AM? Thus: 517 Inquiry: How many minutes are there between 2:59 PM and 10:33 PM? Thus: 454 Inquiry: What is 458 minutes after 8:11 PM? Thus: 3:49 AM Inquiry: What is 493 minutes after 12:38 PM? Thus: 8:51 PM Inquiry: How many minutes are there between 1:37 PM and 6:29 PM? Thus: 292 Inquiry: How many minutes are there between 1:57 AM and 4:00 AM? Thus: 123 Inquiry: What is 424 minutes after 1:52 PM? Thus: 8:56 PM Inquiry: How many minutes are there between 2:16 PM and 11:01 PM? Thus: 525 Inquiry: What is 597 minutes before 6:22 AM? Thus: 8:25 PM Inquiry: How many minutes are there between 4:03 AM and 5:19 AM? Thus: 76 Inquiry: What is 345 minutes after 9:39 AM? Thus: 3:24 PM Inquiry: What is 480 minutes before 9:15 PM? Thus: 1:15 PM Inquiry: What is 96 minutes before 12:31 AM? Thus: 10:55 PM Inquiry: What is 473 minutes before 12:45 PM? Thus: 4:52 AM Inquiry: What is 553 minutes after 8:31 AM? Thus: 5:44 PM Inquiry: How many minutes are there between 10:34 PM and 1:38 AM? Thus: 184 Inquiry: How many minutes are there between 8:39 PM and 8:49 PM? Thus: 10 Inquiry: What is 111 minutes befo
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measurement: time ----------------- Problem: How many minutes are there between 3:39 AM and 12:04 PM? Outcome: 505 Problem: How many minutes are there between 8:25 AM and 8:08 PM? Outcome: 703 Problem: How many minutes are there between 7:36 AM and 1:47 PM? Outcome: 371 Problem: How many minutes are there between 5:14 AM and 12:53 PM? Outcome: 459 Problem: What is 154 minutes after 12:27 PM? Outcome: 3:01 PM Problem: How many minutes are there between 4:21 AM and 10:33 AM? Outcome: 372 Problem: How many minutes are there between 11:18 AM and 2:04 PM? Outcome: 166 Problem: How many minutes are there between 11:11 AM and 8:57 PM? Outcome: 586 Problem: How many minutes are there between 11:24 AM and 8:41 PM? Outcome: 557 Problem: How many minutes are there between 10:21 AM and 4:49 PM? Outcome: 388 Problem: What is 628 minutes before 9:28 AM? Outcome: 11:00 PM Problem: What is 618 minutes before 7:16 AM? Outcome: 8:58 PM Problem: What is 237 minutes after 8:54 AM? Outcome: 12:51 PM Problem: How many minutes are there between 8:45 AM and 1:15 PM? Outcome: 270 Problem: What is 107 minutes before 6:40 AM? Outcome: 4:53 AM Problem: How many minutes are there between 2:58 AM and 2:10 PM? Outcome: 672 Problem: What is 496 minutes after 4:58 AM? Outcome: 1:14 PM Problem: How many minutes are there between 9:56 AM and 6:04 PM? Outcome: 488 Problem: What is 588 minutes after 7:58 PM? Outcome: 5:46 AM Problem: What is 6 minutes after 9:34 AM? Outcome: 9:40 AM Problem: How many minutes are there between 7:04 AM and 1:15 PM? Outcome: 371 Problem: How many minutes are there between 10:29 PM and 1:33 AM? Outcome: 184 Problem: How many minutes are there between 6:24 PM and 2:10 AM? Outcome: 466 Problem: How many minutes are there between 4:31 PM and 8:31 PM? Outcome: 240 Problem: What is 480 minutes after 3:33 AM? Outcome: 11:33 AM Problem: What is 429 minutes before 9:00 PM? Outcome: 1:51 PM Problem: What is 235 minutes after 10:37 PM? Outcome: 2:32 AM Problem: What is 560 minutes a
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numbers: div remainder ---------------------- Q: What is the remainder when 373866 is divided by 95? = : 41 Q: Calculate the remainder when 721919 is divided by 235. = : 234 Q: What is the remainder when 30 is divided by 20? = : 10 Q: What is the remainder when 5308 is divided by 312? = : 4 Q: What is the remainder when 325979 is divided by 1128? = : 1115 Q: Calculate the remainder when 22369 is divided by 4. = : 1 Q: Calculate the remainder when 643 is divided by 127. = : 8 Q: What is the remainder when 84 is divided by 24? = : 12 Q: Calculate the remainder when 567 is divided by 552. = : 15 Q: What is the remainder when 4744624 is divided by 143776? = : 16 Q: Calculate the remainder when 430016 is divided by 371. = : 27 Q: What is the remainder when 99 is divided by 10? = : 9 Q: What is the remainder when 740390 is divided by 10? = : 0 Q: What is the remainder when 109 is divided by 61? = : 48 Q: What is the remainder when 191076 is divided by 567? = : 564 Q: Calculate the remainder when 508 is divided by 10. = : 8 Q: What is the remainder when 5940 is divided by 227? = : 38 Q: Calculate the remainder when 3837357 is divided by 1672. = : 117 Q: Calculate the remainder when 138152 is divided by 46047. = : 11 Q: What is the remainder when 669728 is divided by 3417? = : 3413 Q: Calculate the remainder when 617 is divided by 294. = : 29 Q: What is the remainder when 1177 is divided by 20? = : 17 Q: Calculate the remainder when 5526 is divided by 881. = : 240 Q: Calculate the remainder when 9293 is divided by 50. = : 43 Q: Calculate the remainder when 82 is divided by 35. = : 12 Q: What is the remainder when 159 is divided by 20? = : 19 Q: What is the remainder when 44509 is divided by 10? = : 9 Q: Calculate the remainder when 112518 is divided by 521. = : 503 Q: Calculate the remainder when 112579 is divided by 5. = : 4 Q: What is the remainder when 181 is divided by 170? = : 11 Q: What is the remainder when 10426 is divided by 5174? = : 78 Q: What is the remainder wh
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probability: swr p sequence --------------------------- Math Problem: Three letters picked without replacement from qmmmmmmqmm. Give prob of sequence mmm. Eval: 7/15 Math Problem: Calculate prob of sequence me when two letters picked without replacement from meeei. Eval: 3/20 Math Problem: Calculate prob of sequence pz when two letters picked without replacement from zzzpzzzzzzzzzpzzzzzp. Eval: 51/380 Math Problem: What is prob of sequence qyqq when four letters picked without replacement from {q: 4, s: 10, y: 1, c: 4}? Eval: 1/3876 Math Problem: Calculate prob of sequence kkk when three letters picked without replacement from {s: 3, y: 2, q: 2, k: 4, f: 1}. Eval: 1/55 Math Problem: What is prob of sequence psp when three letters picked without replacement from sspqsspxxwpqpxppss? Eval: 5/136 Math Problem: What is prob of sequence tyyt when four letters picked without replacement from {t: 2, l: 2, n: 4, j: 1, y: 2, e: 8}? Eval: 1/23256 Math Problem: Two letters picked without replacement from tgggtgtttttpgg. What is prob of sequence tg? Eval: 3/13 Math Problem: Three letters picked without replacement from yeguy. What is prob of sequence yeg? Eval: 1/30 Math Problem: Four letters picked without replacement from uueue. Give prob of sequence eeuu. Eval: 1/10 Math Problem: Two letters picked without replacement from rgrggr. Give prob of sequence gg. Eval: 1/5 Math Problem: Calculate prob of sequence ee when two letters picked without replacement from eeeeefeeeefee. Eval: 55/78 Math Problem: Calculate prob of sequence lop when three letters picked without replacement from opoplpplplplpp. Eval: 8/273 Math Problem: Three letters picked without replacement from evremedreemedeerme. Give prob of sequence mve. Eval: 3/544 Math Problem: Three letters picked without replacement from xzbbxsixxeibzib. What is prob of sequence esb? Eval: 2/1365 Math Problem: Calculate prob of sequence ll when two letters picked without replacement from {a: 1, l: 2}. Eval: 1/3 Math Problem: Calcula
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measurement: conversion ----------------------- Request: What is 8.443163 millilitres in litres? Compute: 0.008443163 Request: How many nanometers are there in 97511.31 kilometers? Compute: 97511310000000000 Request: How many millimeters are there in 3/40 of a meter? Compute: 75 Request: Convert 761.1897km to meters. Compute: 761189.7 Request: What is six fifths of a hour in seconds? Compute: 4320 Request: Convert 71.58795 grams to milligrams. Compute: 71587.95 Request: How many millilitres are there in 5/8 of a litre? Compute: 625 Request: Convert 42.38107 grams to nanograms. Compute: 42381070000 Request: How many months are there in 2277.989 millennia? Compute: 27335868 Request: Convert 5.54005 centuries to decades. Compute: 55.4005 Request: What is three eighths of a microgram in nanograms? Compute: 375 Request: How many micrometers are there in one twentieth of a meter? Compute: 50000 Request: How many months are there in 739647.5 centuries? Compute: 887577000 Request: What is fifty-nine quarters of a decade in months? Compute: 1770 Request: Convert 0.2170956 months to years. Compute: 0.0180913 Request: How many micrometers are there in 1.6055nm? Compute: 0.0016055 Request: What is 0.2364589 years in centuries? Compute: 0.002364589 Request: How many micrometers are there in eleven tenths of a millimeter? Compute: 1100 Request: How many seconds are there in 618.3559 nanoseconds? Compute: 0.0000006183559 Request: What is 3/10 of a millennium in centuries? Compute: 3 Request: How many hours are there in 5/28 of a week? Compute: 30 Request: What is 65.60123kg in micrograms? Compute: 65601230000 Request: Convert 2.6362224 months to millennia. Compute: 0.0002196852 Request: What is one quarter of a litre in millilitres? Compute: 250 Request: What is 1/5 of a litre in millilitres? Compute: 200 Request: How many milliseconds are there in 8/15 of a minute? Compute: 32000 Request: How many days are there in 10.96887 weeks? Compute: 76.78209 Request: How many days are ther
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arithmetic: nearest integer root -------------------------------- What if: What is 4900666 to the power of 1/4, to the nearest integer? Solution: 47 What if: What is 1608306 to the power of 1/3, to the nearest integer? Solution: 117 What if: What is the square root of 17582442 to the nearest integer? Solution: 4193 What if: What is 5912582297 to the power of 1/10, to the nearest integer? Solution: 9 What if: What is the ninth root of 2042562 to the nearest integer? Solution: 5 What if: What is 223836577 to the power of 1/3, to the nearest integer? Solution: 607 What if: What is the fourth root of 81731451 to the nearest integer? Solution: 95 What if: What is the tenth root of 28903 to the nearest integer? Solution: 3 What if: What is the third root of 10218 to the nearest integer? Solution: 22 What if: What is 22451722 to the power of 1/3, to the nearest integer? Solution: 282 What if: What is 1071181079 to the power of 1/8, to the nearest integer? Solution: 13 What if: What is 135235288 to the power of 1/6, to the nearest integer? Solution: 23 What if: What is the third root of 2267 to the nearest integer? Solution: 13 What if: What is the square root of 24940 to the nearest integer? Solution: 158 What if: What is the tenth root of 22135020 to the nearest integer? Solution: 5 What if: What is the fifth root of 12782 to the nearest integer? Solution: 7 What if: What is the third root of 358575418 to the nearest integer? Solution: 710 What if: What is 8932 to the power of 1/2, to the nearest integer? Solution: 95 What if: What is the cube root of 148170 to the nearest integer? Solution: 53 What if: What is the square root of 486710780 to the nearest integer? Solution: 22062 What if: What is the ninth root of 19094 to the nearest integer? Solution: 3 What if: What is the cube root of 132719039 to the nearest integer? Solution: 510 What if: What is the square root of 36590208 to the nearest integer? Solution: 6049 What if: What is the third root of 59567 to the nearest
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numbers: place value -------------------- Math Q: What is the units digit of 36780454? Therefore: 4 Math Q: What is the units digit of 116? Therefore: 6 Math Q: What is the tens digit of 996? Therefore: 9 Math Q: What is the units digit of 4769635? Therefore: 5 Math Q: What is the ten thousands digit of 161524281? Therefore: 2 Math Q: What is the thousands digit of 1408396? Therefore: 8 Math Q: What is the hundreds digit of 19564? Therefore: 5 Math Q: What is the units digit of 205418018? Therefore: 8 Math Q: What is the ten thousands digit of 208899? Therefore: 0 Math Q: What is the tens digit of 74624? Therefore: 2 Math Q: What is the tens digit of 94790787? Therefore: 8 Math Q: What is the thousands digit of 6940? Therefore: 6 Math Q: What is the hundreds digit of 1749? Therefore: 7 Math Q: What is the hundreds digit of 14146? Therefore: 1 Math Q: What is the hundreds digit of 438893? Therefore: 8 Math Q: What is the millions digit of 406972554? Therefore: 6 Math Q: What is the units digit of 23335? Therefore: 5 Math Q: What is the hundred thousands digit of 73822882? Therefore: 8 Math Q: What is the thousands digit of 2969? Therefore: 2 Math Q: What is the units digit of 3919? Therefore: 9 Math Q: What is the tens digit of 3157? Therefore: 5 Math Q: What is the hundreds digit of 29711? Therefore: 7 Math Q: What is the hundreds digit of 3019? Therefore: 0 Math Q: What is the hundred thousands digit of 789476? Therefore: 7 Math Q: What is the ten thousands digit of 511060145? Therefore: 6 Math Q: What is the units digit of 131061? Therefore: 1 Math Q: What is the tens digit of 461? Therefore: 6 Math Q: What is the tens digit of 377558929? Therefore: 2 Math Q: What is the units digit of 3073? Therefore: 3 Math Q: What is the ten millions digit of 149311265? Therefore: 4 Math Q: What is the tens digit of 99566595? Therefore: 9 Math Q: What is the hundreds digit of 156487686? Therefore: 6 Math Q: What is the units digit of 152284305? Therefore: 5 Math Q: What is the
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numbers: gcd ------------ Q: Calculate the greatest common factor of 786 and 66. Response: 6 Q: Calculate the highest common factor of 3700 and 50. Response: 50 Q: What is the highest common divisor of 7278 and 282? Response: 6 Q: Calculate the highest common factor of 154003788 and 7236. Response: 7236 Q: Calculate the highest common factor of 306 and 36. Response: 18 Q: Calculate the greatest common factor of 40 and 24630780. Response: 20 Q: What is the greatest common divisor of 6562 and 12514506? Response: 386 Q: Calculate the highest common divisor of 8339 and 184265. Response: 269 Q: What is the highest common divisor of 30 and 640? Response: 10 Q: What is the greatest common factor of 188 and 3149? Response: 47 Q: Calculate the highest common divisor of 736 and 1288. Response: 184 Q: What is the highest common divisor of 28634 and 618? Response: 206 Q: Calculate the greatest common factor of 162 and 7218. Response: 18 Q: Calculate the greatest common divisor of 122 and 163114. Response: 122 Q: What is the greatest common divisor of 1225 and 547050? Response: 175 Q: What is the greatest common factor of 10 and 1930? Response: 10 Q: What is the highest common factor of 5 and 35? Response: 5 Q: Calculate the highest common factor of 48 and 108. Response: 12 Q: What is the greatest common factor of 314 and 2041? Response: 157 Q: What is the highest common divisor of 329912568 and 7380? Response: 1476 Q: What is the highest common divisor of 16358 and 1488? Response: 2 Q: Calculate the highest common factor of 1932 and 46092. Response: 276 Q: What is the highest common factor of 1391 and 283163944? Response: 107 Q: Calculate the greatest common divisor of 794 and 7354. Response: 2 Q: What is the greatest common factor of 3784 and 93912? Response: 344 Q: What is the greatest common divisor of 42 and 360171? Response: 21 Q: Calculate the highest common factor of 208 and 6704. Response: 16 Q: Calculate the greatest common factor of 2 and 1286. Response: 2 Q: What is
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probability: swr p sequence --------------------------- Q=: Four letters picked without replacement from zxxxxzzwzzzwzwpxppw. Give prob of sequence xxwz. Result: 35/5814 Q=: What is prob of sequence ltll when four letters picked without replacement from {l: 19, t: 1}? Result: 1/20 Q=: What is prob of sequence cc when two letters picked without replacement from oipoooiciipikicpk? Result: 1/136 Q=: Calculate prob of sequence olbo when four letters picked without replacement from llblloo. Result: 1/105 Q=: Two letters picked without replacement from ecdex. Give prob of sequence ex. Result: 1/10 Q=: What is prob of sequence ic when two letters picked without replacement from {a: 3, i: 1, c: 2, v: 6}? Result: 1/66 Q=: Calculate prob of sequence xgg when three letters picked without replacement from {g: 8, x: 3}. Result: 28/165 Q=: Calculate prob of sequence upu when three letters picked without replacement from uupuppuuuuuuuuuuuup. Result: 140/969 Q=: Calculate prob of sequence bj when two letters picked without replacement from bbjbjbbbbj. Result: 7/30 Q=: Three letters picked without replacement from {k: 2, p: 2, c: 1, w: 4, d: 7}. What is prob of sequence pkd? Result: 1/120 Q=: What is prob of sequence lli when three letters picked without replacement from iljieeellil? Result: 2/55 Q=: Calculate prob of sequence ogq when three letters picked without replacement from {q: 5, g: 2, o: 2}. Result: 5/126 Q=: Calculate prob of sequence snn when three letters picked without replacement from nsnsnnqssqns. Result: 5/66 Q=: Three letters picked without replacement from rrrrooooooo. What is prob of sequence ooo? Result: 7/33 Q=: Calculate prob of sequence vyfp when four letters picked without replacement from yfpyvfypvyfvy. Result: 3/572 Q=: What is prob of sequence ry when two letters picked without replacement from {x: 1, g: 1, y: 1, r: 1, c: 1}? Result: 1/20 Q=: Two letters picked without replacement from suueseeuuuuseuuussu. Give prob of sequence es. Result: 10/171 Q=: What
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measurement: time ----------------- Query: How many minutes are there between 2:26 PM and 2:30 PM? Therefore: 4 Query: What is 207 minutes before 9:17 PM? Therefore: 5:50 PM Query: What is 703 minutes before 11:32 AM? Therefore: 11:49 PM Query: How many minutes are there between 2:19 AM and 5:46 AM? Therefore: 207 Query: What is 595 minutes before 4:28 PM? Therefore: 6:33 AM Query: How many minutes are there between 9:43 AM and 7:07 PM? Therefore: 564 Query: What is 657 minutes before 2:34 AM? Therefore: 3:37 PM Query: What is 652 minutes before 10:37 AM? Therefore: 11:45 PM Query: What is 672 minutes before 4:53 AM? Therefore: 5:41 PM Query: What is 470 minutes before 6:29 AM? Therefore: 10:39 PM Query: What is 303 minutes after 12:58 PM? Therefore: 6:01 PM Query: What is 406 minutes after 3:49 AM? Therefore: 10:35 AM Query: How many minutes are there between 2:46 AM and 5:02 AM? Therefore: 136 Query: What is 491 minutes after 4:24 AM? Therefore: 12:35 PM Query: What is 77 minutes before 8:25 PM? Therefore: 7:08 PM Query: How many minutes are there between 3:20 PM and 6:47 PM? Therefore: 207 Query: What is 194 minutes before 11:46 PM? Therefore: 8:32 PM Query: What is 406 minutes before 4:53 AM? Therefore: 10:07 PM Query: How many minutes are there between 5:55 PM and 4:59 AM? Therefore: 664 Query: What is 310 minutes before 8:36 PM? Therefore: 3:26 PM Query: How many minutes are there between 5:01 PM and 3:00 AM? Therefore: 599 Query: How many minutes are there between 4:57 PM and 3:24 AM? Therefore: 627 Query: How many minutes are there between 9:13 PM and 1:33 AM? Therefore: 260 Query: How many minutes are there between 1:38 PM and 4:13 PM? Therefore: 155 Query: What is 374 minutes after 8:57 AM? Therefore: 3:11 PM Query: How many minutes are there between 11:31 PM and 6:29 AM? Therefore: 418 Query: How many minutes are there between 3:28 AM and 6:43 AM? Therefore: 195 Query: What is 237 minutes before 5:19 AM? Therefore: 1:22 AM Query: How many minutes are ther
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arithmetic: nearest integer root -------------------------------- Exercise: What is the cube root of 9747 to the nearest integer? Sol: 21 Exercise: What is 94675496 to the power of 1/2, to the nearest integer? Sol: 9730 Exercise: What is 498 to the power of 1/3, to the nearest integer? Sol: 8 Exercise: What is 66163 to the power of 1/3, to the nearest integer? Sol: 40 Exercise: What is the cube root of 279 to the nearest integer? Sol: 7 Exercise: What is the third root of 709713536 to the nearest integer? Sol: 892 Exercise: What is 97711 to the power of 1/10, to the nearest integer? Sol: 3 Exercise: What is the cube root of 55090 to the nearest integer? Sol: 38 Exercise: What is the third root of 9373 to the nearest integer? Sol: 21 Exercise: What is the eighth root of 2744 to the nearest integer? Sol: 3 Exercise: What is the cube root of 40411 to the nearest integer? Sol: 34 Exercise: What is the square root of 215322 to the nearest integer? Sol: 464 Exercise: What is 1238076 to the power of 1/7, to the nearest integer? Sol: 7 Exercise: What is 416722359 to the power of 1/2, to the nearest integer? Sol: 20414 Exercise: What is the seventh root of 35946697 to the nearest integer? Sol: 12 Exercise: What is 961736 to the power of 1/2, to the nearest integer? Sol: 981 Exercise: What is 114178486 to the power of 1/2, to the nearest integer? Sol: 10685 Exercise: What is the cube root of 81145974 to the nearest integer? Sol: 433 Exercise: What is the third root of 1995192 to the nearest integer? Sol: 126 Exercise: What is the third root of 93411833 to the nearest integer? Sol: 454 Exercise: What is the third root of 80929 to the nearest integer? Sol: 43 Exercise: What is the third root of 669374 to the nearest integer? Sol: 87 Exercise: What is 1291830126 to the power of 1/7, to the nearest integer? Sol: 20 Exercise: What is 4314 to the power of 1/2, to the nearest integer? Sol: 66 Exercise: What is the fifth root of 117112021 to the nearest integer? Sol: 41 Exercise: Wha
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probability: swr p sequence --------------------------- Let us solve: What is prob of sequence waan when four letters picked without replacement from awwalmlwnanmawmnlwlw? Output: 3/1615 Let us solve: Two letters picked without replacement from {j: 2, n: 2, w: 6, y: 2}. Give prob of sequence nw. Output: 1/11 Let us solve: Calculate prob of sequence pppb when four letters picked without replacement from pbbbpbpppb. Output: 5/84 Let us solve: Three letters picked without replacement from {y: 1, m: 4, l: 4, i: 2, z: 3}. Give prob of sequence mzl. Output: 2/91 Let us solve: What is prob of sequence llb when three letters picked without replacement from {l: 2, b: 4, o: 2, j: 3}? Output: 4/495 Let us solve: Calculate prob of sequence qqe when three letters picked without replacement from hlqhmqehh. Output: 1/252 Let us solve: Calculate prob of sequence looo when four letters picked without replacement from oaolaalaao. Output: 1/420 Let us solve: Two letters picked without replacement from jbtwava. Give prob of sequence tv. Output: 1/42 Let us solve: Calculate prob of sequence zji when three letters picked without replacement from lzjjzlljil. Output: 1/120 Let us solve: Three letters picked without replacement from {e: 2, h: 3, f: 1, d: 10}. What is prob of sequence ehf? Output: 1/560 Let us solve: Calculate prob of sequence yv when two letters picked without replacement from yvyyvvvvvyvyvvyyyvy. Output: 5/19 Let us solve: Three letters picked without replacement from {j: 6, q: 2, o: 2, g: 1, m: 3}. What is prob of sequence jgm? Output: 3/364 Let us solve: Two letters picked without replacement from kkshsshsk. Give prob of sequence sh. Output: 1/9 Let us solve: Two letters picked without replacement from yyyyy. What is prob of sequence yy? Output: 1 Let us solve: Four letters picked without replacement from {c: 2, z: 1, w: 4, f: 2}. What is prob of sequence ffcw? Output: 1/189 Let us solve: Calculate prob of sequence ah when two letters picked without replacement from {a:
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numbers: is factor ------------------ Exercise: Does 146 divide 116492? Result: False Exercise: Is 64560 a multiple of 60? Result: True Exercise: Does 77 divide 83468? Result: True Exercise: Is 36 a factor of 3960? Result: True Exercise: Is 8 a factor of 6684293? Result: False Exercise: Is 104504880 a multiple of 15? Result: True Exercise: Does 4040 divide 262046520? Result: True Exercise: Does 25 divide 463649? Result: False Exercise: Does 252 divide 35378028? Result: True Exercise: Does 13 divide 4531? Result: False Exercise: Is 176593018 a multiple of 31? Result: False Exercise: Is 75306748 a multiple of 44? Result: True Exercise: Is 773628 a multiple of 138? Result: True Exercise: Does 208 divide 177524621? Result: False Exercise: Is 2403 a multiple of 43? Result: False Exercise: Is 14 a factor of 5765? Result: False Exercise: Is 430837 a multiple of 11? Result: True Exercise: Is 1554140 a multiple of 10? Result: True Exercise: Is 15036 a multiple of 179? Result: True Exercise: Is 16 a factor of 62744611? Result: False Exercise: Does 2003 divide 73858852? Result: False Exercise: Is 165 a factor of 7902510? Result: True Exercise: Is 17072 a multiple of 11? Result: True Exercise: Is 106497 a multiple of 253? Result: False Exercise: Does 20 divide 20128? Result: False Exercise: Does 18 divide 183690? Result: True Exercise: Does 27 divide 45077958? Result: True Exercise: Is 20 a factor of 261720? Result: True Exercise: Is 842 even? Result: True Exercise: Does 92 divide 137768620? Result: True Exercise: Does 7 divide 238? Result: True Exercise: Is 17 a factor of 25657? Result: False Exercise: Is 16 a factor of 384? Result: True Exercise: Is 18 a factor of 25242? Result: False Exercise: Does 110 divide 248270? Result: True Exercise: Is 79 a factor of 798212? Result: False Exercise: Is 26 a factor of 20546936? Result: False Exercise: Does 283 divide 230645? Result: True Exercise: Is 38551982 a multiple of 70? Result: False Exercise: Does 14 divide 59473204? Result: Tru
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probability: swr p sequence --------------------------- Puzzle: Calculate prob of sequence ho when two letters picked without replacement from {h: 5, t: 4, o: 1}. Soln: 1/18 Puzzle: Three letters picked without replacement from xuouu. Give prob of sequence uox. Soln: 1/20 Puzzle: What is prob of sequence zb when two letters picked without replacement from {z: 2, k: 1, b: 1, y: 2, f: 1, v: 1}? Soln: 1/28 Puzzle: Three letters picked without replacement from xxxxxxxxxxxxmxxxxxxx. What is prob of sequence xxm? Soln: 1/20 Puzzle: Calculate prob of sequence eooe when four letters picked without replacement from eoeooooooo. Soln: 1/45 Puzzle: What is prob of sequence gh when two letters picked without replacement from {m: 5, h: 3, g: 1, p: 1, l: 2}? Soln: 1/44 Puzzle: Three letters picked without replacement from {i: 3, z: 2, w: 3}. Give prob of sequence zii. Soln: 1/28 Puzzle: Three letters picked without replacement from {j: 6, g: 2}. What is prob of sequence ggj? Soln: 1/28 Puzzle: What is prob of sequence csc when three letters picked without replacement from mmcsccscc? Soln: 5/63 Puzzle: Two letters picked without replacement from {c: 1, f: 2, w: 1, u: 1, x: 3, e: 3}. Give prob of sequence ee. Soln: 3/55 Puzzle: Calculate prob of sequence xx when two letters picked without replacement from jxjjoxoojjxxjjxox. Soln: 15/136 Puzzle: Three letters picked without replacement from {h: 7, a: 7, n: 2}. What is prob of sequence ann? Soln: 1/240 Puzzle: Calculate prob of sequence ffl when three letters picked without replacement from {s: 6, l: 1, v: 1, f: 4, j: 1}. Soln: 1/143 Puzzle: What is prob of sequence skjx when four letters picked without replacement from yjxlskk? Soln: 1/420 Puzzle: Calculate prob of sequence auka when four letters picked without replacement from {u: 2, y: 2, v: 2, a: 5, x: 1, k: 1}. Soln: 1/429 Puzzle: Two letters picked without replacement from {k: 3, y: 1}. Give prob of sequence ky. Soln: 1/4 Puzzle: What is prob of sequence li when two letters pick
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measurement: conversion ----------------------- Task: What is 7/4 of a milligram in micrograms? Calculation: 1750 Task: What is 8.363146ml in litres? Calculation: 0.008363146 Task: What is 33/5 of a millisecond in microseconds? Calculation: 6600 Task: What is thirty-one halves of a litre in millilitres? Calculation: 15500 Task: How many nanometers are there in 3/32 of a millimeter? Calculation: 93750 Task: Convert 55.32512 decades to years. Calculation: 553.2512 Task: What is 25/2 of a litre in millilitres? Calculation: 12500 Task: How many millilitres are there in 5209.082 litres? Calculation: 5209082 Task: How many tonnes are there in 38.1258g? Calculation: 0.0000381258 Task: Convert 0.6510277 grams to milligrams. Calculation: 651.0277 Task: Convert 9275.646 millimeters to meters. Calculation: 9.275646 Task: How many millilitres are there in nine tenths of a litre? Calculation: 900 Task: Convert 8424.72 weeks to minutes. Calculation: 84921177.6 Task: How many weeks are there in 693.17073us? Calculation: 0.000000001146115625 Task: Convert 593.337 nanometers to micrometers. Calculation: 0.593337 Task: Convert 1.019376cm to meters. Calculation: 0.01019376 Task: Convert 70118.38 millimeters to nanometers. Calculation: 70118380000 Task: How many millilitres are there in twenty-one halves of a litre? Calculation: 10500 Task: How many millimeters are there in 54/5 of a meter? Calculation: 10800 Task: What is 5.213188t in micrograms? Calculation: 5213188000000 Task: Convert 3623.994 kilograms to grams. Calculation: 3623994 Task: What is 6.706114 litres in millilitres? Calculation: 6706.114 Task: Convert 8.865357 litres to millilitres. Calculation: 8865.357 Task: What is 11/10 of a week in minutes? Calculation: 11088 Task: Convert 630972.8 decades to centuries. Calculation: 63097.28 Task: How many months are there in 5/6 of a century? Calculation: 1000 Task: What is 25/4 of a litre in millilitres? Calculation: 6250 Task: What is 7.64275 millilitres in litres? Calculation:
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measurement: time ----------------- Input: How many minutes are there between 4:05 PM and 12:55 AM? Calculation: 530 Input: What is 564 minutes after 2:47 PM? Calculation: 12:11 AM Input: What is 344 minutes after 8:20 AM? Calculation: 2:04 PM Input: How many minutes are there between 3:54 PM and 2:01 AM? Calculation: 607 Input: How many minutes are there between 8:20 PM and 10:58 PM? Calculation: 158 Input: How many minutes are there between 7:48 PM and 12:51 AM? Calculation: 303 Input: What is 254 minutes before 12:07 AM? Calculation: 7:53 PM Input: What is 706 minutes before 4:25 AM? Calculation: 4:39 PM Input: How many minutes are there between 2:06 AM and 2:33 AM? Calculation: 27 Input: How many minutes are there between 11:21 PM and 10:48 AM? Calculation: 687 Input: What is 570 minutes before 7:09 AM? Calculation: 9:39 PM Input: How many minutes are there between 11:41 PM and 2:20 AM? Calculation: 159 Input: What is 345 minutes before 7:51 PM? Calculation: 2:06 PM Input: How many minutes are there between 7:58 AM and 1:19 PM? Calculation: 321 Input: What is 270 minutes before 10:04 AM? Calculation: 5:34 AM Input: How many minutes are there between 9:21 AM and 11:11 AM? Calculation: 110 Input: What is 167 minutes before 3:29 AM? Calculation: 12:42 AM Input: What is 404 minutes after 9:42 PM? Calculation: 4:26 AM Input: How many minutes are there between 1:19 PM and 12:24 AM? Calculation: 665 Input: What is 697 minutes before 12:37 AM? Calculation: 1:00 PM Input: What is 624 minutes before 4:28 PM? Calculation: 6:04 AM Input: How many minutes are there between 9:07 AM and 2:48 PM? Calculation: 341 Input: How many minutes are there between 4:22 AM and 2:21 PM? Calculation: 599 Input: What is 625 minutes after 5:03 PM? Calculation: 3:28 AM Input: What is 386 minutes before 11:02 AM? Calculation: 4:36 AM Input: How many minutes are there between 4:31 AM and 3:56 PM? Calculation: 685 Input: How many minutes are there between 5:20 AM and 5:02 PM? Calculation: 702 Inp
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numbers: gcd ------------ Part A: Calculate the highest common divisor of 3190081239 and 73. = : 73 Part A: Calculate the highest common divisor of 3498 and 1650. = : 66 Part A: Calculate the highest common factor of 980 and 20. = : 20 Part A: What is the greatest common factor of 525432 and 312? = : 24 Part A: Calculate the highest common factor of 48 and 43311. = : 3 Part A: Calculate the highest common factor of 19161465 and 510. = : 255 Part A: What is the highest common factor of 7785 and 45? = : 45 Part A: What is the highest common factor of 35 and 14? = : 7 Part A: Calculate the highest common factor of 5 and 5. = : 5 Part A: Calculate the greatest common divisor of 3265 and 3773995. = : 5 Part A: What is the greatest common factor of 14472 and 432? = : 216 Part A: Calculate the highest common divisor of 2058388 and 1076. = : 1076 Part A: Calculate the greatest common divisor of 75 and 10365. = : 15 Part A: What is the highest common factor of 261 and 297? = : 9 Part A: Calculate the highest common factor of 228 and 9158. = : 38 Part A: What is the greatest common factor of 489 and 246130? = : 163 Part A: What is the greatest common divisor of 30 and 375? = : 15 Part A: Calculate the highest common divisor of 108 and 3. = : 3 Part A: What is the highest common divisor of 136 and 85? = : 17 Part A: Calculate the highest common divisor of 19 and 1159. = : 19 Part A: Calculate the highest common divisor of 112 and 602. = : 14 Part A: Calculate the greatest common factor of 57110 and 10. = : 10 Part A: What is the highest common factor of 308 and 28? = : 28 Part A: What is the highest common factor of 3792 and 144? = : 48 Part A: Calculate the greatest common factor of 1798 and 203. = : 29 Part A: Calculate the highest common divisor of 1721114016 and 192. = : 96 Part A: Calculate the greatest common factor of 4656 and 264. = : 24 Part A: Calculate the highest common divisor of 14496 and 96. = : 96 Part A: What is the greatest common factor of 55296 and 57744? =
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measurement: conversion ----------------------- Q/A: What is 42/5 of a microgram in nanograms? Result: 8400 Q/A: What is 72150.67 millennia in centuries? Result: 721506.7 Q/A: What is 3/5 of a minute in milliseconds? Result: 36000 Q/A: How many months are there in 4.534974 years? Result: 54.419688 Q/A: Convert 83495.4ml to litres. Result: 83.4954 Q/A: How many grams are there in 33/5 of a kilogram? Result: 6600 Q/A: What is two ninths of a hour in seconds? Result: 800 Q/A: What is 14443.41g in tonnes? Result: 0.01444341 Q/A: Convert 28.757673 months to years. Result: 2.39647275 Q/A: Convert 29.244 grams to nanograms. Result: 29244000000 Q/A: What is three tenths of a centimeter in micrometers? Result: 3000 Q/A: What is 8825.664 kilograms in grams? Result: 8825664 Q/A: How many kilograms are there in 1768.809 nanograms? Result: 0.000000001768809 Q/A: What is 26/5 of a century in months? Result: 6240 Q/A: What is 1/16 of a kilogram in milligrams? Result: 62500 Q/A: What is seven halves of a week in minutes? Result: 35280 Q/A: Convert 0.4556308 days to microseconds. Result: 39366501120 Q/A: How many millilitres are there in one fifth of a litre? Result: 200 Q/A: What is 899651.6ml in litres? Result: 899.6516 Q/A: How many milliseconds are there in five eighths of a minute? Result: 37500 Q/A: What is twenty-seven quarters of a century in months? Result: 8100 Q/A: Convert 28323.153 seconds to minutes. Result: 472.05255 Q/A: What is 1/5 of a litre in millilitres? Result: 200 Q/A: What is 6285.47 kilometers in meters? Result: 6285470 Q/A: What is 3/5 of a hour in minutes? Result: 36 Q/A: How many nanometers are there in 46557.02um? Result: 46557020 Q/A: How many seconds are there in thirty-three fifths of a minute? Result: 396 Q/A: How many nanograms are there in fourty-three quarters of a microgram? Result: 10750 Q/A: What is 3/8 of a litre in millilitres? Result: 375 Q/A: Convert 3896.693 years to millennia. Result: 3.896693 Q/A: What is 578.2613ml in litres? Result: 0.5
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measurement: time ----------------- Ask: How many minutes are there between 4:50 PM and 1:40 AM? Resolution: 530 Ask: How many minutes are there between 9:38 PM and 3:49 AM? Resolution: 371 Ask: What is 597 minutes before 1:09 PM? Resolution: 3:12 AM Ask: What is 341 minutes after 1:14 AM? Resolution: 6:55 AM Ask: How many minutes are there between 7:18 PM and 2:44 AM? Resolution: 446 Ask: What is 11 minutes after 10:49 PM? Resolution: 11:00 PM Ask: How many minutes are there between 6:36 PM and 6:13 AM? Resolution: 697 Ask: What is 69 minutes before 7:42 AM? Resolution: 6:33 AM Ask: What is 453 minutes before 6:00 AM? Resolution: 10:27 PM Ask: How many minutes are there between 6:54 PM and 9:39 PM? Resolution: 165 Ask: How many minutes are there between 1:01 AM and 8:02 AM? Resolution: 421 Ask: How many minutes are there between 5:29 AM and 9:32 AM? Resolution: 243 Ask: How many minutes are there between 12:33 PM and 1:55 PM? Resolution: 82 Ask: What is 6 minutes before 10:59 PM? Resolution: 10:53 PM Ask: What is 394 minutes after 5:02 PM? Resolution: 11:36 PM Ask: How many minutes are there between 1:14 PM and 7:58 PM? Resolution: 404 Ask: How many minutes are there between 12:11 AM and 10:00 AM? Resolution: 589 Ask: How many minutes are there between 10:35 AM and 7:33 PM? Resolution: 538 Ask: How many minutes are there between 4:48 AM and 9:39 AM? Resolution: 291 Ask: What is 707 minutes after 4:42 AM? Resolution: 4:29 PM Ask: What is 394 minutes after 3:40 AM? Resolution: 10:14 AM Ask: How many minutes are there between 11:29 AM and 9:52 PM? Resolution: 623 Ask: What is 466 minutes after 1:08 AM? Resolution: 8:54 AM Ask: How many minutes are there between 1:25 AM and 6:02 AM? Resolution: 277 Ask: What is 373 minutes before 4:23 PM? Resolution: 10:10 AM Ask: What is 705 minutes after 9:09 AM? Resolution: 8:54 PM Ask: How many minutes are there between 9:31 PM and 4:50 AM? Resolution: 439 Ask: What is 549 minutes after 3:27 PM? Resolution: 12:36 AM Ask: How many m
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numbers: place value -------------------- Qn: What is the hundreds digit of 243865231? Yields: 2 Qn: What is the tens digit of 2209? Yields: 0 Qn: What is the units digit of 1472? Yields: 2 Qn: What is the hundred thousands digit of 1189261798? Yields: 2 Qn: What is the millions digit of 13863411? Yields: 3 Qn: What is the ten thousands digit of 370841? Yields: 7 Qn: What is the hundred millions digit of 3388750824? Yields: 3 Qn: What is the tens digit of 32294? Yields: 9 Qn: What is the ten millions digit of 27722891? Yields: 2 Qn: What is the ten thousands digit of 10535? Yields: 1 Qn: What is the hundreds digit of 793? Yields: 7 Qn: What is the ten thousands digit of 4834861197? Yields: 6 Qn: What is the ten millions digit of 110589722? Yields: 1 Qn: What is the units digit of 52907036? Yields: 6 Qn: What is the hundred thousands digit of 1116484321? Yields: 4 Qn: What is the millions digit of 168774799? Yields: 8 Qn: What is the thousands digit of 90864? Yields: 0 Qn: What is the tens digit of 2141747904? Yields: 0 Qn: What is the units digit of 472313566? Yields: 6 Qn: What is the tens digit of 497? Yields: 9 Qn: What is the ten thousands digit of 696395? Yields: 9 Qn: What is the hundreds digit of 3772? Yields: 7 Qn: What is the hundreds digit of 275836? Yields: 8 Qn: What is the ten millions digit of 20756875? Yields: 2 Qn: What is the units digit of 1462? Yields: 2 Qn: What is the hundred thousands digit of 1216570? Yields: 2 Qn: What is the thousands digit of 766713? Yields: 6 Qn: What is the ten millions digit of 3881486892? Yields: 8 Qn: What is the hundred thousands digit of 3017448? Yields: 0 Qn: What is the ten thousands digit of 17374? Yields: 1 Qn: What is the units digit of 1200? Yields: 0 Qn: What is the units digit of 2910? Yields: 0 Qn: What is the units digit of 4429? Yields: 9 Qn: What is the hundreds digit of 113792373? Yields: 3 Qn: What is the hundreds digit of 32566? Yields: 5 Qn: What is the units digit of 5601? Yields: 1 Qn: What is the t
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numbers: is prime ----------------- Challenge: Is 4387023755 composite? Key: True Challenge: Is 5296154047 prime? Key: False Challenge: Is 4618567 a composite number? Key: False Challenge: Is 19482207 a prime number? Key: False Challenge: Is 538429 composite? Key: True Challenge: Is 10726271 a composite number? Key: True Challenge: Is 15421495613 composite? Key: False Challenge: Is 887148937 prime? Key: True Challenge: Is 11947 composite? Key: True Challenge: Is 8813 a composite number? Key: True Challenge: Is 6546437 prime? Key: True Challenge: Is 42281 composite? Key: False Challenge: Is 86999953 a prime number? Key: False Challenge: Is 3620095421 a prime number? Key: False Challenge: Is 3140729 a composite number? Key: True Challenge: Is 141982327 a prime number? Key: True Challenge: Is 2024131757 prime? Key: False Challenge: Is 46971022279 a prime number? Key: False Challenge: Is 312107183 a prime number? Key: True Challenge: Is 18623 a prime number? Key: False Challenge: Is 5923 a prime number? Key: True Challenge: Is 32661949714 a composite number? Key: True Challenge: Is 231661 prime? Key: True Challenge: Is 31611507 composite? Key: True Challenge: Is 1420541 a composite number? Key: True Challenge: Is 7278721 composite? Key: False Challenge: Is 136717 a prime number? Key: False Challenge: Is 4432002481 composite? Key: True Challenge: Is 15527 composite? Key: False Challenge: Is 357031 composite? Key: False Challenge: Is 139644037 prime? Key: False Challenge: Is 411457 prime? Key: False Challenge: Is 145184713 composite? Key: False Challenge: Is 621287 a prime number? Key: False Challenge: Is 99176573621 prime? Key: False Challenge: Is 9144277 prime? Key: True Challenge: Is 42995732774 prime? Key: False Challenge: Is 862657963 prime? Key: True Challenge: Is 3727798 prime? Key: False Challenge: Is 18292195189 prime? Key: True Challenge: Is 871439 prime? Key: True Challenge: Is 478481 a composite number? Key: False Challenge: Is 4967 prime? Key: True Challenge:
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numbers: is factor ------------------ Conundrum: Is 1947 a factor of 98351504? Eval: False Conundrum: Is 331 a factor of 19269822? Eval: False Conundrum: Does 2 divide 91? Eval: False Conundrum: Is 312974 a multiple of 33? Eval: False Conundrum: Does 24 divide 2297? Eval: False Conundrum: Is 423839 a multiple of 19? Eval: False Conundrum: Is 3445985 a multiple of 27? Eval: False Conundrum: Is 11 a factor of 2167? Eval: True Conundrum: Does 204 divide 1186872? Eval: True Conundrum: Does 141 divide 34723365? Eval: True Conundrum: Is 4667780 a multiple of 2? Eval: True Conundrum: Does 196 divide 8624? Eval: True Conundrum: Is 56990 a multiple of 82? Eval: True Conundrum: Is 3880 a multiple of 64? Eval: False Conundrum: Is 118 a multiple of 5? Eval: False Conundrum: Is 325355 a multiple of 11? Eval: False Conundrum: Is 117669 a multiple of 18? Eval: False Conundrum: Is 318799830 a multiple of 49? Eval: False Conundrum: Does 90 divide 2430? Eval: True Conundrum: Is 43044852 a multiple of 822? Eval: True Conundrum: Does 33 divide 1122? Eval: True Conundrum: Does 40 divide 2065092880? Eval: True Conundrum: Is 86870 a multiple of 135? Eval: False Conundrum: Is 142 a factor of 548546? Eval: True Conundrum: Is 14020 a multiple of 126? Eval: False Conundrum: Is 136 a factor of 18526736? Eval: True Conundrum: Is 86702 a multiple of 59? Eval: False Conundrum: Does 2 divide 12927? Eval: False Conundrum: Is 264 a multiple of 24? Eval: True Conundrum: Is 73 a factor of 34826? Eval: False Conundrum: Is 10 a factor of 66238? Eval: False Conundrum: Is 1772 a multiple of 30? Eval: False Conundrum: Is 15 a factor of 200840? Eval: False Conundrum: Is 1415949 a multiple of 23? Eval: True Conundrum: Does 90 divide 1747632? Eval: False Conundrum: Is 8 a factor of 176464342? Eval: False Conundrum: Does 158 divide 5132630? Eval: True Conundrum: Is 2436471 a multiple of 5? Eval: False Conundrum: Is 273 a factor of 3815317? Eval: False Conundrum: Is 20936286 a multiple of 42? Eval: True Conundr
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numbers: place value -------------------- Example: What is the hundreds digit of 102373? Response: 3 Example: What is the hundreds digit of 17583606? Response: 6 Example: What is the hundred thousands digit of 2623737? Response: 6 Example: What is the millions digit of 5749120? Response: 5 Example: What is the thousands digit of 3941? Response: 3 Example: What is the tens digit of 27222846? Response: 4 Example: What is the hundreds digit of 23353480? Response: 4 Example: What is the hundred millions digit of 822910175? Response: 8 Example: What is the hundreds digit of 201911? Response: 9 Example: What is the units digit of 25505574? Response: 4 Example: What is the units digit of 1475? Response: 5 Example: What is the ten thousands digit of 537875? Response: 3 Example: What is the tens digit of 8755? Response: 5 Example: What is the thousands digit of 4049417? Response: 9 Example: What is the millions digit of 4817282? Response: 4 Example: What is the ten thousands digit of 51904952? Response: 0 Example: What is the millions digit of 2120045562? Response: 0 Example: What is the units digit of 3228032? Response: 2 Example: What is the ten millions digit of 2963964533? Response: 6 Example: What is the thousands digit of 779117? Response: 9 Example: What is the hundreds digit of 407534839? Response: 8 Example: What is the tens digit of 8880? Response: 8 Example: What is the hundreds digit of 5148636192? Response: 1 Example: What is the ten thousands digit of 148159? Response: 4 Example: What is the tens digit of 563036? Response: 3 Example: What is the ten thousands digit of 1287357377? Response: 5 Example: What is the millions digit of 2271859766? Response: 1 Example: What is the units digit of 4519? Response: 9 Example: What is the ten thousands digit of 389623388? Response: 2 Example: What is the hundred thousands digit of 574951? Response: 5 Example: What is the millions digit of 158590024? Response: 8 Example: What is the tens digit of 19924094? Response: 9 Examp
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arithmetic: nearest integer root -------------------------------- Item: What is the tenth root of 5839190 to the nearest integer? Answer: 5 Item: What is the cube root of 339 to the nearest integer? Answer: 7 Item: What is 9538 to the power of 1/2, to the nearest integer? Answer: 98 Item: What is 7323 to the power of 1/3, to the nearest integer? Answer: 19 Item: What is 19000371 to the power of 1/7, to the nearest integer? Answer: 11 Item: What is 4069025697 to the power of 1/2, to the nearest integer? Answer: 63789 Item: What is the cube root of 31582792 to the nearest integer? Answer: 316 Item: What is the square root of 468783 to the nearest integer? Answer: 685 Item: What is the fifth root of 51834345 to the nearest integer? Answer: 35 Item: What is the cube root of 86956141 to the nearest integer? Answer: 443 Item: What is 2372349837 to the power of 1/8, to the nearest integer? Answer: 15 Item: What is 2821544242 to the power of 1/2, to the nearest integer? Answer: 53118 Item: What is 5153744279 to the power of 1/7, to the nearest integer? Answer: 24 Item: What is the fourth root of 52370 to the nearest integer? Answer: 15 Item: What is the cube root of 1989205 to the nearest integer? Answer: 126 Item: What is 7149 to the power of 1/3, to the nearest integer? Answer: 19 Item: What is the tenth root of 16464 to the nearest integer? Answer: 3 Item: What is the third root of 1729 to the nearest integer? Answer: 12 Item: What is 3290743312 to the power of 1/5, to the nearest integer? Answer: 80 Item: What is the sixth root of 709 to the nearest integer? Answer: 3 Item: What is the third root of 84358 to the nearest integer? Answer: 44 Item: What is 140203 to the power of 1/4, to the nearest integer? Answer: 19 Item: What is the square root of 8209 to the nearest integer? Answer: 91 Item: What is the ninth root of 748885111 to the nearest integer? Answer: 10 Item: What is the fourth root of 13796957 to the nearest integer? Answer: 61 Item: What is 2424297 to the pow
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measurement: time ----------------- Example: What is 63 minutes after 6:10 PM? Answer: 7:13 PM Example: How many minutes are there between 7:23 PM and 11:36 PM? Answer: 253 Example: What is 399 minutes before 1:44 PM? Answer: 7:05 AM Example: How many minutes are there between 1:38 AM and 8:26 AM? Answer: 408 Example: How many minutes are there between 4:25 PM and 2:49 AM? Answer: 624 Example: What is 528 minutes after 11:09 PM? Answer: 7:57 AM Example: What is 4 minutes after 5:42 PM? Answer: 5:46 PM Example: What is 595 minutes after 1:10 AM? Answer: 11:05 AM Example: What is 405 minutes after 6:22 PM? Answer: 1:07 AM Example: What is 260 minutes before 4:04 AM? Answer: 11:44 PM Example: What is 599 minutes before 7:20 AM? Answer: 9:21 PM Example: How many minutes are there between 1:48 PM and 1:59 PM? Answer: 11 Example: How many minutes are there between 3:00 AM and 11:23 AM? Answer: 503 Example: What is 676 minutes before 7:23 PM? Answer: 8:07 AM Example: What is 127 minutes after 10:38 AM? Answer: 12:45 PM Example: What is 36 minutes before 2:40 PM? Answer: 2:04 PM Example: How many minutes are there between 9:41 PM and 9:02 AM? Answer: 681 Example: How many minutes are there between 1:10 PM and 1:49 PM? Answer: 39 Example: What is 535 minutes after 9:59 PM? Answer: 6:54 AM Example: What is 560 minutes after 1:36 AM? Answer: 10:56 AM Example: What is 353 minutes before 10:44 AM? Answer: 4:51 AM Example: What is 388 minutes after 3:55 PM? Answer: 10:23 PM Example: How many minutes are there between 5:25 PM and 5:12 AM? Answer: 707 Example: How many minutes are there between 1:17 AM and 7:42 AM? Answer: 385 Example: How many minutes are there between 10:14 AM and 4:58 PM? Answer: 404 Example: How many minutes are there between 7:08 AM and 11:45 AM? Answer: 277 Example: How many minutes are there between 12:14 PM and 12:34 PM? Answer: 20 Example: What is 56 minutes before 2:35 PM? Answer: 1:39 PM Example: How many minutes are there between 1:25 PM and 10:05 PM? A
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numbers: is prime ----------------- Exercise: Is 19256813 a prime number? Resolution: False Exercise: Is 29568238391 composite? Resolution: True Exercise: Is 277567 composite? Resolution: False Exercise: Is 45535223 composite? Resolution: False Exercise: Is 329977 composite? Resolution: False Exercise: Is 30614539 a composite number? Resolution: True Exercise: Is 50026 a prime number? Resolution: False Exercise: Is 218803052167 a composite number? Resolution: True Exercise: Is 12889 composite? Resolution: False Exercise: Is 1028205791 a prime number? Resolution: True Exercise: Is 1980619 a prime number? Resolution: False Exercise: Is 569603 a prime number? Resolution: True Exercise: Is 98216057 prime? Resolution: False Exercise: Is 14893 a prime number? Resolution: False Exercise: Is 317611937 prime? Resolution: True Exercise: Is 5033063 a composite number? Resolution: True Exercise: Is 41981467 prime? Resolution: False Exercise: Is 667257791 a composite number? Resolution: False Exercise: Is 92206235809 prime? Resolution: True Exercise: Is 4309519 a prime number? Resolution: True Exercise: Is 1937465567 prime? Resolution: True Exercise: Is 24359 a composite number? Resolution: False Exercise: Is 5227 a composite number? Resolution: False Exercise: Is 1109029699 prime? Resolution: True Exercise: Is 6469 a prime number? Resolution: True Exercise: Is 39025999 a prime number? Resolution: False Exercise: Is 928631 a prime number? Resolution: False Exercise: Is 174642554 a composite number? Resolution: True Exercise: Is 1682311 a composite number? Resolution: False Exercise: Is 14632979 prime? Resolution: True Exercise: Is 32638 a composite number? Resolution: True Exercise: Is 157243769 a prime number? Resolution: False Exercise: Is 804001 composite? Resolution: True Exercise: Is 6947 prime? Resolution: True Exercise: Is 21671537 a composite number? Resolution: True Exercise: Is 3528065 prime? Resolution: False Exercise: Is 422029 a composite number? Resolution: False E
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numbers: gcd ------------ Item: Calculate the highest common factor of 122 and 34. Final Answer: 2 Item: Calculate the greatest common factor of 42765 and 5. Final Answer: 5 Item: Calculate the highest common factor of 117 and 1503. Final Answer: 9 Item: Calculate the greatest common factor of 432 and 162. Final Answer: 54 Item: What is the greatest common divisor of 132006 and 356426? Final Answer: 98 Item: Calculate the greatest common divisor of 85 and 2635. Final Answer: 85 Item: What is the highest common divisor of 5346352 and 1628? Final Answer: 1628 Item: Calculate the greatest common factor of 150 and 8145. Final Answer: 15 Item: What is the greatest common divisor of 68 and 1700? Final Answer: 68 Item: What is the highest common factor of 236 and 4472318? Final Answer: 118 Item: What is the highest common factor of 1000856 and 1544? Final Answer: 8 Item: What is the highest common divisor of 108 and 319516? Final Answer: 4 Item: What is the greatest common divisor of 42189 and 155841? Final Answer: 861 Item: Calculate the highest common factor of 1225 and 141225. Final Answer: 175 Item: Calculate the highest common divisor of 3130 and 1388590070. Final Answer: 3130 Item: What is the highest common divisor of 162 and 282? Final Answer: 6 Item: What is the highest common factor of 15128 and 2622817? Final Answer: 1891 Item: What is the highest common factor of 32576 and 16? Final Answer: 16 Item: What is the highest common divisor of 9608 and 8? Final Answer: 8 Item: Calculate the greatest common factor of 180 and 1412740. Final Answer: 20 Item: What is the highest common factor of 1140 and 7638? Final Answer: 114 Item: Calculate the greatest common divisor of 256 and 5504. Final Answer: 128 Item: What is the highest common factor of 147 and 63? Final Answer: 21 Item: Calculate the highest common divisor of 1526 and 112. Final Answer: 14 Item: Calculate the greatest common factor of 15 and 27. Final Answer: 3 Item: Calculate the highest common divisor of 22
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probability: swr p sequence --------------------------- Scenario: Calculate prob of sequence uuxc when four letters picked without replacement from xuuxdxxcxcxx. Gives: 7/2970 Scenario: Two letters picked without replacement from rdedf. Give prob of sequence re. Gives: 1/20 Scenario: What is prob of sequence kdkd when four letters picked without replacement from ddqdqqdkqkd? Gives: 1/198 Scenario: Four letters picked without replacement from {t: 5, l: 2, k: 1, h: 4, m: 4}. What is prob of sequence mtkl? Gives: 1/1092 Scenario: Three letters picked without replacement from {o: 2, i: 1, b: 1, k: 1, m: 1, u: 1}. Give prob of sequence mib. Gives: 1/210 Scenario: Calculate prob of sequence zh when two letters picked without replacement from hhzzeezeezezzez. Gives: 1/15 Scenario: Two letters picked without replacement from {j: 7, k: 4}. What is prob of sequence kj? Gives: 14/55 Scenario: What is prob of sequence ii when two letters picked without replacement from {i: 5, d: 7}? Gives: 5/33 Scenario: Four letters picked without replacement from {q: 2, p: 1, d: 4}. Give prob of sequence qdqp. Gives: 1/105 Scenario: Calculate prob of sequence giqs when four letters picked without replacement from {t: 2, q: 2, z: 2, g: 4, s: 2, i: 2}. Gives: 4/3003 Scenario: Calculate prob of sequence bccr when four letters picked without replacement from {b: 2, o: 1, c: 2, r: 1, i: 1}. Gives: 1/210 Scenario: Three letters picked without replacement from pprrppvep. What is prob of sequence rpp? Gives: 5/63 Scenario: Calculate prob of sequence ui when two letters picked without replacement from iuffffffuffffi. Gives: 2/91 Scenario: What is prob of sequence wjx when three letters picked without replacement from sjjxssxxxyxwxsyixjj? Gives: 14/2907 Scenario: What is prob of sequence oovq when four letters picked without replacement from {q: 1, p: 1, o: 2, v: 1}? Gives: 1/60 Scenario: Two letters picked without replacement from {i: 4, s: 2, g: 3}. Give prob of sequence is. Gives: 1/9 Scenario: Calc
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probability: swr p level set ---------------------------- Case: What is prob of picking 1 p, 1 k, and 1 d when three letters picked without replacement from {l: 5, d: 1, p: 1, i: 2, k: 1}? Outcome: 1/120 Case: Three letters picked without replacement from {k: 3, p: 12}. What is prob of picking 3 p? Outcome: 44/91 Case: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {q: 2, c: 1, w: 1, l: 1}. Outcome: 1/10 Case: What is prob of picking 1 u, 2 x, and 1 h when four letters picked without replacement from {n: 2, x: 2, d: 1, h: 1, u: 1, c: 2}? Outcome: 1/126 Case: What is prob of picking 1 r and 1 z when two letters picked without replacement from zvrzvzyzzzzzzvz? Outcome: 2/21 Case: Calculate prob of picking 2 b and 2 m when four letters picked without replacement from {q: 2, t: 2, b: 2, m: 2}. Outcome: 1/70 Case: Three letters picked without replacement from fiffaiiifxi. What is prob of picking 2 f and 1 x? Outcome: 2/55 Case: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from ucruyytrcyuy. Outcome: 1/33 Case: Three letters picked without replacement from wyiyyiieyiitiwuiiiiy. What is prob of picking 1 u and 2 w? Outcome: 1/1140 Case: Three letters picked without replacement from {e: 2, g: 6, a: 1, y: 1, q: 3}. What is prob of picking 1 q, 1 e, and 1 g? Outcome: 18/143 Case: Three letters picked without replacement from cczcccchzhcchh. What is prob of picking 2 h and 1 z? Outcome: 3/91 Case: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from lowlllmwommoowolllo. Outcome: 2/19 Case: What is prob of picking 3 x when three letters picked without replacement from qxqqrqrrxxrr? Outcome: 1/220 Case: Three letters picked without replacement from {u: 2, m: 2, w: 4, h: 1}. Give prob of picking 1 u, 1 h, and 1 m. Outcome: 1/21 Case: What is prob of picking 1 m and 2 p when three letters picked without replacement from pppppppmpmmppmmppmm? Outcome: 154/323 Case: Three le
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numbers: is prime ----------------- Topic: Is 59536067 composite? Explanation: False Topic: Is 4621 prime? Explanation: True Topic: Is 295553 a prime number? Explanation: True Topic: Is 25997 prime? Explanation: True Topic: Is 78922009 a prime number? Explanation: False Topic: Is 161203467247 a prime number? Explanation: False Topic: Is 552397 a prime number? Explanation: True Topic: Is 72829 prime? Explanation: False Topic: Is 2559206851 prime? Explanation: False Topic: Is 136163 a composite number? Explanation: False Topic: Is 133350882227 a prime number? Explanation: False Topic: Is 65211295 a prime number? Explanation: False Topic: Is 13207161551 a prime number? Explanation: True Topic: Is 3812398741 composite? Explanation: True Topic: Is 900032087 composite? Explanation: False Topic: Is 1001237 composite? Explanation: False Topic: Is 18208643 prime? Explanation: True Topic: Is 13105646395 composite? Explanation: True Topic: Is 19987601 composite? Explanation: True Topic: Is 2205910451 prime? Explanation: True Topic: Is 204153559 a composite number? Explanation: False Topic: Is 128174563 composite? Explanation: True Topic: Is 2554572809 a composite number? Explanation: True Topic: Is 3587195849 a composite number? Explanation: False Topic: Is 4057 prime? Explanation: True Topic: Is 514513603 composite? Explanation: True Topic: Is 54596938933 a prime number? Explanation: False Topic: Is 696187 composite? Explanation: True Topic: Is 18329518663 prime? Explanation: False Topic: Is 22343 a composite number? Explanation: False Topic: Is 11460560789 prime? Explanation: True Topic: Is 98130446221 prime? Explanation: True Topic: Is 46747369717 a prime number? Explanation: False Topic: Is 108263 a composite number? Explanation: False Topic: Is 15107 prime? Explanation: True Topic: Is 240821 a composite number? Explanation: True Topic: Is 942806 composite? Explanation: True Topic: Is 50462123 a composite number? Explanation: False Topic: Is 2885327609 composite? Explanati
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measurement: time ----------------- Given: What is 467 minutes after 9:50 PM? Outcome: 5:37 AM Given: How many minutes are there between 9:31 AM and 7:18 PM? Outcome: 587 Given: What is 597 minutes after 8:45 AM? Outcome: 6:42 PM Given: How many minutes are there between 1:15 PM and 2:04 PM? Outcome: 49 Given: How many minutes are there between 7:38 PM and 2:04 AM? Outcome: 386 Given: How many minutes are there between 8:41 PM and 4:53 AM? Outcome: 492 Given: What is 491 minutes after 7:17 AM? Outcome: 3:28 PM Given: How many minutes are there between 1:23 AM and 4:18 AM? Outcome: 175 Given: What is 719 minutes after 7:36 PM? Outcome: 7:35 AM Given: How many minutes are there between 4:29 AM and 8:29 AM? Outcome: 240 Given: How many minutes are there between 7:42 PM and 4:59 AM? Outcome: 557 Given: What is 194 minutes after 3:49 AM? Outcome: 7:03 AM Given: How many minutes are there between 3:10 AM and 11:34 AM? Outcome: 504 Given: What is 386 minutes after 6:34 AM? Outcome: 1:00 PM Given: What is 526 minutes after 9:38 AM? Outcome: 6:24 PM Given: How many minutes are there between 7:02 AM and 6:09 PM? Outcome: 667 Given: What is 38 minutes before 2:27 PM? Outcome: 1:49 PM Given: What is 507 minutes before 2:01 PM? Outcome: 5:34 AM Given: What is 559 minutes after 3:35 AM? Outcome: 12:54 PM Given: How many minutes are there between 11:23 AM and 10:24 PM? Outcome: 661 Given: What is 507 minutes before 5:35 AM? Outcome: 9:08 PM Given: What is 63 minutes after 8:20 AM? Outcome: 9:23 AM Given: How many minutes are there between 9:42 AM and 8:23 PM? Outcome: 641 Given: What is 217 minutes before 8:31 AM? Outcome: 4:54 AM Given: How many minutes are there between 5:55 AM and 6:39 AM? Outcome: 44 Given: What is 573 minutes after 11:42 AM? Outcome: 9:15 PM Given: How many minutes are there between 1:00 PM and 12:22 AM? Outcome: 682 Given: How many minutes are there between 3:01 AM and 9:13 AM? Outcome: 372 Given: How many minutes are there between 10:08 PM and 7:52 AM? Outc
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arithmetic: nearest integer root -------------------------------- Input: What is the cube root of 2947269775 to the nearest integer? β†’: 1434 Input: What is 532669893 to the power of 1/4, to the nearest integer? β†’: 152 Input: What is 9375 to the power of 1/3, to the nearest integer? β†’: 21 Input: What is the cube root of 845010749 to the nearest integer? β†’: 945 Input: What is the third root of 714 to the nearest integer? β†’: 9 Input: What is the tenth root of 65832 to the nearest integer? β†’: 3 Input: What is 9129409 to the power of 1/6, to the nearest integer? β†’: 14 Input: What is the square root of 913 to the nearest integer? β†’: 30 Input: What is the square root of 160265 to the nearest integer? β†’: 400 Input: What is the seventh root of 4859422 to the nearest integer? β†’: 9 Input: What is the square root of 28343 to the nearest integer? β†’: 168 Input: What is the cube root of 354 to the nearest integer? β†’: 7 Input: What is 1582645 to the power of 1/2, to the nearest integer? β†’: 1258 Input: What is the square root of 54833 to the nearest integer? β†’: 234 Input: What is 1058 to the power of 1/3, to the nearest integer? β†’: 10 Input: What is the third root of 105660 to the nearest integer? β†’: 47 Input: What is the sixth root of 5833652903 to the nearest integer? β†’: 42 Input: What is the square root of 8223 to the nearest integer? β†’: 91 Input: What is 2317 to the power of 1/3, to the nearest integer? β†’: 13 Input: What is the third root of 177505 to the nearest integer? β†’: 56 Input: What is 46058 to the power of 1/2, to the nearest integer? β†’: 215 Input: What is 376 to the power of 1/2, to the nearest integer? β†’: 19 Input: What is 20112 to the power of 1/2, to the nearest integer? β†’: 142 Input: What is the fifth root of 9000078 to the nearest integer? β†’: 25 Input: What is 958 to the power of 1/7, to the nearest integer? β†’: 3 Input: What is the square root of 13361321 to the nearest integer? β†’: 3655 Input: What is 10030 to the power of 1/2, to the nearest integer? β†’: 100 Input:
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numbers: is factor ------------------ Example: Does 13 divide 2074982? Gives: True Example: Does 85 divide 7987535? Gives: True Example: Does 45 divide 26629? Gives: False Example: Is 359353064 a multiple of 5205? Gives: False Example: Is 561 a factor of 9203766? Gives: True Example: Is 64674 a multiple of 33? Gives: False Example: Is 45553386 a multiple of 4? Gives: False Example: Is 13699097 a multiple of 8? Gives: False Example: Is 89 a factor of 1602? Gives: True Example: Is 17 a factor of 19014449? Gives: True Example: Is 337 a multiple of 30? Gives: False Example: Is 6 a factor of 4518? Gives: True Example: Is 21 a factor of 432739? Gives: False Example: Does 56 divide 23153? Gives: False Example: Is 677946 a multiple of 206? Gives: True Example: Is 745 a factor of 14422195? Gives: False Example: Is 567499459 a multiple of 5919? Gives: False Example: Is 3060 a multiple of 17? Gives: True Example: Is 50205 a multiple of 201? Gives: False Example: Is 15569 a multiple of 4? Gives: False Example: Is 2604 a multiple of 84? Gives: True Example: Does 13 divide 845? Gives: True Example: Is 478 a factor of 55448? Gives: True Example: Is 216550 a multiple of 122? Gives: True Example: Does 139 divide 7986940? Gives: True Example: Is 1330871248 a multiple of 1901? Gives: False Example: Is 85 a factor of 63521? Gives: False Example: Is 1771 a multiple of 161? Gives: True Example: Is 515 a factor of 4714087520? Gives: True Example: Is 16 a factor of 317? Gives: False Example: Does 2 divide 2240471? Gives: False Example: Is 1176 a factor of 3331608? Gives: True Example: Is 26 a factor of 5876? Gives: True Example: Is 194292 a multiple of 54? Gives: True Example: Is 1144 a factor of 4043392? Gives: False Example: Is 19 a factor of 1367610997? Gives: False Example: Is 17 a factor of 1173? Gives: True Example: Is 50 a factor of 4195? Gives: False Example: Is 10 a factor of 76682930? Gives: True Example: Does 5 divide 370? Gives: True Example: Is 12768 a multiple of 16? Gives: T
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numbers: div remainder ---------------------- Given: Calculate the remainder when 659 is divided by 82. Sol: 3 Given: Calculate the remainder when 2429416 is divided by 117. Sol: 28 Given: What is the remainder when 1232254 is divided by 49289? Sol: 29 Given: Calculate the remainder when 2896 is divided by 200. Sol: 96 Given: Calculate the remainder when 1680301 is divided by 4732. Sol: 441 Given: What is the remainder when 17480 is divided by 330? Sol: 320 Given: Calculate the remainder when 1466 is divided by 537. Sol: 392 Given: Calculate the remainder when 197 is divided by 40. Sol: 37 Given: Calculate the remainder when 4657 is divided by 922. Sol: 47 Given: Calculate the remainder when 8198 is divided by 546. Sol: 8 Given: What is the remainder when 25238 is divided by 29? Sol: 8 Given: What is the remainder when 8444 is divided by 20? Sol: 4 Given: What is the remainder when 477609 is divided by 85? Sol: 79 Given: What is the remainder when 373 is divided by 102? Sol: 67 Given: Calculate the remainder when 40 is divided by 29. Sol: 11 Given: Calculate the remainder when 73063432 is divided by 4297848. Sol: 16 Given: What is the remainder when 623 is divided by 159? Sol: 146 Given: Calculate the remainder when 5011 is divided by 12. Sol: 7 Given: Calculate the remainder when 1131 is divided by 40. Sol: 11 Given: What is the remainder when 474 is divided by 106? Sol: 50 Given: Calculate the remainder when 11614 is divided by 2192. Sol: 654 Given: Calculate the remainder when 4304 is divided by 20. Sol: 4 Given: Calculate the remainder when 30603118 is divided by 30. Sol: 28 Given: What is the remainder when 120 is divided by 14? Sol: 8 Given: Calculate the remainder when 100 is divided by 41. Sol: 18 Given: Calculate the remainder when 953719 is divided by 3715. Sol: 2679 Given: Calculate the remainder when 942 is divided by 53. Sol: 41 Given: Calculate the remainder when 278803 is divided by 8712. Sol: 19 Given: Calculate the remainder when 69 is divided by 25
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measurement: time ----------------- Statement: How many minutes are there between 9:49 PM and 9:28 AM? A: 699 Statement: How many minutes are there between 12:24 AM and 10:34 AM? A: 610 Statement: What is 121 minutes before 12:00 PM? A: 9:59 AM Statement: What is 501 minutes after 10:11 AM? A: 6:32 PM Statement: What is 398 minutes after 5:22 PM? A: 12:00 AM Statement: What is 448 minutes before 6:50 PM? A: 11:22 AM Statement: How many minutes are there between 7:44 AM and 4:53 PM? A: 549 Statement: How many minutes are there between 7:36 AM and 5:54 PM? A: 618 Statement: How many minutes are there between 10:41 AM and 5:26 PM? A: 405 Statement: How many minutes are there between 4:40 AM and 6:09 AM? A: 89 Statement: What is 453 minutes before 1:50 PM? A: 6:17 AM Statement: What is 35 minutes after 10:48 AM? A: 11:23 AM Statement: What is 92 minutes before 11:09 PM? A: 9:37 PM Statement: What is 315 minutes before 8:42 AM? A: 3:27 AM Statement: What is 49 minutes before 1:27 PM? A: 12:38 PM Statement: How many minutes are there between 9:47 AM and 8:33 PM? A: 646 Statement: What is 595 minutes after 2:55 PM? A: 12:50 AM Statement: How many minutes are there between 4:51 PM and 6:48 PM? A: 117 Statement: How many minutes are there between 4:39 AM and 5:27 AM? A: 48 Statement: What is 202 minutes after 6:16 AM? A: 9:38 AM Statement: How many minutes are there between 6:57 AM and 6:14 PM? A: 677 Statement: How many minutes are there between 11:42 PM and 4:34 AM? A: 292 Statement: What is 325 minutes after 10:38 PM? A: 4:03 AM Statement: How many minutes are there between 3:56 AM and 2:42 PM? A: 646 Statement: What is 231 minutes before 9:43 PM? A: 5:52 PM Statement: How many minutes are there between 1:26 AM and 4:41 AM? A: 195 Statement: What is 376 minutes before 10:12 AM? A: 3:56 AM Statement: How many minutes are there between 7:16 AM and 9:23 AM? A: 127 Statement: What is 249 minutes after 3:54 PM? A: 8:03 PM Statement: What is 139 minutes after 11:04 PM? A: 1:23
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measurement: conversion ----------------------- Q: How many milliseconds are there in 1/24 of a minute? Answer: 2500 Q: How many seconds are there in two ninths of a day? Answer: 19200 Q: How many nanograms are there in eleven eighths of a microgram? Answer: 1375 Q: Convert 335.463 millilitres to litres. Answer: 0.335463 Q: What is one tenth of a kilogram in milligrams? Answer: 100000 Q: Convert 6538.282 centimeters to nanometers. Answer: 65382820000 Q: How many kilograms are there in 59/5 of a tonne? Answer: 11800 Q: How many kilometers are there in 509.8005nm? Answer: 0.0000000005098005 Q: How many millimeters are there in 43.30521 meters? Answer: 43305.21 Q: How many months are there in one fifth of a millennium? Answer: 2400 Q: What is 3/25 of a litre in millilitres? Answer: 120 Q: How many millilitres are there in six fifths of a litre? Answer: 1200 Q: How many micrograms are there in seventeen tenths of a milligram? Answer: 1700 Q: How many millilitres are there in eleven eighths of a litre? Answer: 1375 Q: How many seconds are there in 746882.8ns? Answer: 0.0007468828 Q: What is 162891.7 weeks in milliseconds? Answer: 98516900160000 Q: How many months are there in 1/24 of a century? Answer: 50 Q: How many hours are there in nineteen quarters of a day? Answer: 114 Q: How many micrometers are there in three fifths of a millimeter? Answer: 600 Q: What is 5/4 of a centimeter in micrometers? Answer: 12500 Q: What is 6.018314ms in seconds? Answer: 0.006018314 Q: How many millilitres are there in six fifths of a litre? Answer: 1200 Q: How many micrograms are there in 8/25 of a milligram? Answer: 320 Q: What is 17/4 of a gram in milligrams? Answer: 4250 Q: How many nanometers are there in 3/8 of a micrometer? Answer: 375 Q: How many nanometers are there in seven eighths of a micrometer? Answer: 875 Q: How many nanograms are there in 1/4 of a microgram? Answer: 250 Q: What is fifty-four fifths of a micrometer in nanometers? Answer: 10800 Q: What is fourty-two fifths o
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