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numbers: gcd ------------ Subquestion: What is the highest common factor of 60 and 1541140? Explanation: 20 Subquestion: Calculate the greatest common factor of 3173076 and 21888. Explanation: 684 Subquestion: Calculate the greatest common factor of 29103 and 267. Explanation: 267 Subquestion: Calculate the greatest common factor of 3845976 and 3438. Explanation: 1146 Subquestion: What is the highest common divisor of 954528 and 8240? Explanation: 16 Subquestion: Calculate the highest common factor of 2226 and 235215855. Explanation: 1113 Subquestion: What is the greatest common factor of 20100 and 175256925? Explanation: 5025 Subquestion: Calculate the greatest common factor of 8652 and 588. Explanation: 84 Subquestion: Calculate the greatest common factor of 371 and 497. Explanation: 7 Subquestion: Calculate the highest common factor of 364684 and 9316. Explanation: 68 Subquestion: Calculate the highest common divisor of 21 and 35. Explanation: 7 Subquestion: What is the greatest common divisor of 8476 and 1455896? Explanation: 52 Subquestion: Calculate the greatest common factor of 9574074 and 984. Explanation: 246 Subquestion: What is the greatest common divisor of 7029 and 99? Explanation: 99 Subquestion: What is the greatest common divisor of 300 and 38300? Explanation: 100 Subquestion: Calculate the greatest common factor of 98010 and 1860570. Explanation: 810 Subquestion: What is the greatest common factor of 377 and 464? Explanation: 29 Subquestion: What is the greatest common factor of 39 and 377? Explanation: 13 Subquestion: Calculate the greatest common divisor of 10706 and 70843510. Explanation: 106 Subquestion: Calculate the highest common divisor of 14196 and 168. Explanation: 84 Subquestion: Calculate the highest common divisor of 2405 and 91. Explanation: 13 Subquestion: Calculate the greatest common divisor of 1462 and 6596. Explanation: 34 Subquestion: Calculate the greatest common divisor of 7837 and 25355. Explanation: 461 Subquestion: Calculate
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measurement: conversion ----------------------- Problem: How many micrograms are there in five eighths of a milligram? Math A: 625 Problem: How many months are there in seven thirds of a millennium? Math A: 28000 Problem: What is nine tenths of a century in decades? Math A: 9 Problem: Convert 105.4253 micrometers to nanometers. Math A: 105425.3 Problem: What is 3/32 of a kilometer in millimeters? Math A: 93750 Problem: Convert 314345.7 minutes to hours. Math A: 5239.095 Problem: How many nanometers are there in thirty-four fifths of a micrometer? Math A: 6800 Problem: How many months are there in 11/2 of a decade? Math A: 660 Problem: Convert 25091.1999ns to days. Math A: 0.00000000029040740625 Problem: Convert 7864.727nm to kilometers. Math A: 0.000000007864727 Problem: Convert 6036.888 micrometers to kilometers. Math A: 0.000006036888 Problem: How many nanograms are there in 407505.7 tonnes? Math A: 407505700000000000000 Problem: How many milligrams are there in 7/2 of a gram? Math A: 3500 Problem: What is 505800.1 meters in micrometers? Math A: 505800100000 Problem: Convert 3256.7508 nanoseconds to hours. Math A: 0.000000000904653 Problem: What is thirty-seven halves of a litre in millilitres? Math A: 18500 Problem: Convert 617249.5 hours to nanoseconds. Math A: 2222098200000000000 Problem: How many milligrams are there in 0.3289318t? Math A: 328931800 Problem: How many millilitres are there in 55926.03 litres? Math A: 55926030 Problem: What is 3/8 of a day in hours? Math A: 9 Problem: Convert 37805.97 days to microseconds. Math A: 3266435808000000 Problem: Convert 21.594708 minutes to hours. Math A: 0.3599118 Problem: How many decades are there in 8.931396 years? Math A: 0.8931396 Problem: What is 1/5 of a centimeter in millimeters? Math A: 2 Problem: What is 12/25 of a litre in millilitres? Math A: 480 Problem: What is thirty-four fifths of a century in months? Math A: 8160 Problem: What is 1/6 of a day in hours? Math A: 4 Problem: How many minutes are there in
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probability: swr p level set ---------------------------- Let us solve: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from {r: 1, y: 1, a: 2, z: 1}. = : 1/5 Let us solve: Four letters picked without replacement from kkkkkkkppkpkpkkkpp. What is prob of picking 1 p and 3 k? = : 22/51 Let us solve: What is prob of picking 1 c and 1 l when two letters picked without replacement from acwly? = : 1/10 Let us solve: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from tzatthztggazzatth. = : 3/68 Let us solve: Calculate prob of picking 1 t, 1 n, and 1 e when three letters picked without replacement from nteey. = : 1/5 Let us solve: Two letters picked without replacement from {z: 1, j: 2, y: 1, b: 3, u: 2, n: 3}. Give prob of picking 1 z and 1 n. = : 1/22 Let us solve: What is prob of picking 1 u and 2 y when three letters picked without replacement from {y: 3, c: 3, a: 4, u: 3}? = : 9/286 Let us solve: Two letters picked without replacement from kkkzzxxxxxkkxkxkxx. Give prob of picking 2 x. = : 4/17 Let us solve: Two letters picked without replacement from mkktkmtkmxkkxgxttg. What is prob of picking 1 x and 1 t? = : 4/51 Let us solve: Two letters picked without replacement from {q: 1, w: 1, x: 5, v: 2, i: 7, n: 4}. What is prob of picking 1 q and 1 i? = : 7/190 Let us solve: Calculate prob of picking 1 j, 1 e, 1 v, and 1 s when four letters picked without replacement from {k: 2, v: 2, e: 1, y: 1, s: 1, j: 1}. = : 1/35 Let us solve: What is prob of picking 1 k and 1 i when two letters picked without replacement from {j: 1, a: 1, t: 1, k: 2, d: 1, i: 1}? = : 2/21 Let us solve: Calculate prob of picking 2 u and 2 n when four letters picked without replacement from nusnnntsnsnsnun. = : 4/195 Let us solve: Three letters picked without replacement from lllooluuuluol. What is prob of picking 2 u and 1 l? = : 18/143 Let us solve: What is prob of picking 2 n and 1 h when three letters picked without replacement fro
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arithmetic: nearest integer root -------------------------------- Exercise: What is the eighth root of 6482 to the nearest integer? Soln: 3 Exercise: What is the square root of 5130480 to the nearest integer? Soln: 2265 Exercise: What is 824 to the power of 1/3, to the nearest integer? Soln: 9 Exercise: What is the ninth root of 27024 to the nearest integer? Soln: 3 Exercise: What is the third root of 278148 to the nearest integer? Soln: 65 Exercise: What is the square root of 12975 to the nearest integer? Soln: 114 Exercise: What is the square root of 3676462049 to the nearest integer? Soln: 60634 Exercise: What is the square root of 1644066 to the nearest integer? Soln: 1282 Exercise: What is 931 to the power of 1/8, to the nearest integer? Soln: 2 Exercise: What is 23577991 to the power of 1/8, to the nearest integer? Soln: 8 Exercise: What is 228562 to the power of 1/10, to the nearest integer? Soln: 3 Exercise: What is 18017310 to the power of 1/2, to the nearest integer? Soln: 4245 Exercise: What is the third root of 864002397 to the nearest integer? Soln: 952 Exercise: What is the third root of 1308138 to the nearest integer? Soln: 109 Exercise: What is the third root of 143647493 to the nearest integer? Soln: 524 Exercise: What is the square root of 117228 to the nearest integer? Soln: 342 Exercise: What is the square root of 4063135329 to the nearest integer? Soln: 63743 Exercise: What is 465358 to the power of 1/6, to the nearest integer? Soln: 9 Exercise: What is 7535595219 to the power of 1/2, to the nearest integer? Soln: 86808 Exercise: What is the cube root of 23733 to the nearest integer? Soln: 29 Exercise: What is the seventh root of 236923 to the nearest integer? Soln: 6 Exercise: What is the square root of 20564 to the nearest integer? Soln: 143 Exercise: What is the square root of 5936300 to the nearest integer? Soln: 2436 Exercise: What is the square root of 432484302 to the nearest integer? Soln: 20796 Exercise: What is the square root of 68995
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numbers: is prime ----------------- Math Problem: Is 16417011607 a prime number? Key: True Math Problem: Is 2125099 composite? Key: False Math Problem: Is 730087829 prime? Key: True Math Problem: Is 2762803 composite? Key: False Math Problem: Is 3099667 prime? Key: True Math Problem: Is 1457 a composite number? Key: True Math Problem: Is 3363047 a composite number? Key: True Math Problem: Is 139328347 a composite number? Key: True Math Problem: Is 147351 a prime number? Key: False Math Problem: Is 31157081899 a composite number? Key: True Math Problem: Is 2707 composite? Key: False Math Problem: Is 474411953 a prime number? Key: True Math Problem: Is 155153 prime? Key: True Math Problem: Is 401750243 a composite number? Key: False Math Problem: Is 7848552259 a prime number? Key: True Math Problem: Is 140149981 prime? Key: True Math Problem: Is 105517 a composite number? Key: False Math Problem: Is 390163999 composite? Key: True Math Problem: Is 99280352021 a composite number? Key: False Math Problem: Is 81985663 prime? Key: False Math Problem: Is 971584349 a composite number? Key: False Math Problem: Is 94573 a composite number? Key: False Math Problem: Is 281665 a prime number? Key: False Math Problem: Is 45863 a prime number? Key: True Math Problem: Is 451981583 prime? Key: True Math Problem: Is 1169131 a prime number? Key: True Math Problem: Is 207368621 composite? Key: True Math Problem: Is 2391 a composite number? Key: True Math Problem: Is 207899 composite? Key: True Math Problem: Is 2617435 a prime number? Key: False Math Problem: Is 6245 prime? Key: False Math Problem: Is 5333835083 a prime number? Key: False Math Problem: Is 224387731 a prime number? Key: True Math Problem: Is 567191243 a composite number? Key: False Math Problem: Is 703829 composite? Key: True Math Problem: Is 717089 a prime number? Key: True Math Problem: Is 173929001 prime? Key: False Math Problem: Is 4915 a prime number? Key: False Math Problem: Is 78823 composite? Key: False Math Probl
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probability: swr p sequence --------------------------- Step: Three letters picked without replacement from {j: 2, x: 4, a: 1}. What is prob of sequence xxx? Yields: 4/35 Step: Two letters picked without replacement from {i: 1, x: 2, b: 1, f: 5, p: 1}. Give prob of sequence bx. Yields: 1/45 Step: Calculate prob of sequence ppe when three letters picked without replacement from pepepeeeeeeeee. Yields: 11/364 Step: Two letters picked without replacement from {w: 4, o: 16}. What is prob of sequence wo? Yields: 16/95 Step: Three letters picked without replacement from egpxxdpregggxed. Give prob of sequence xgd. Yields: 4/455 Step: Calculate prob of sequence iks when three letters picked without replacement from lillkilliilsk. Yields: 2/429 Step: Calculate prob of sequence yy when two letters picked without replacement from {y: 7}. Yields: 1 Step: What is prob of sequence zkww when four letters picked without replacement from jwjjkjkxjjwxzkjjwwjk? Yields: 2/4845 Step: Three letters picked without replacement from ljjjlljllilldtldlljt. Give prob of sequence tdj. Yields: 1/342 Step: Calculate prob of sequence nn when two letters picked without replacement from ssssnnnssssssn. Yields: 6/91 Step: Calculate prob of sequence yfy when three letters picked without replacement from fffiyfffffyi. Yields: 2/165 Step: Calculate prob of sequence spgs when four letters picked without replacement from sssppssssspsssg. Yields: 11/1092 Step: Calculate prob of sequence vkk when three letters picked without replacement from {v: 2, k: 4}. Yields: 1/5 Step: What is prob of sequence cs when two letters picked without replacement from {t: 1, c: 2, q: 2, s: 1}? Yields: 1/15 Step: What is prob of sequence yyl when three letters picked without replacement from {l: 2, n: 4, y: 2, r: 1}? Yields: 1/126 Step: Four letters picked without replacement from {g: 6, v: 2, u: 2, k: 9}. Give prob of sequence uukk. Yields: 1/646 Step: Two letters picked without replacement from {t: 1, p: 6, q: 3, v: 1, d: 4,
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measurement: time ----------------- Conundrum: How many minutes are there between 8:39 AM and 10:22 AM? = : 103 Conundrum: How many minutes are there between 1:34 PM and 2:09 PM? = : 35 Conundrum: How many minutes are there between 6:49 AM and 6:16 PM? = : 687 Conundrum: How many minutes are there between 2:37 AM and 2:25 PM? = : 708 Conundrum: What is 63 minutes before 8:36 AM? = : 7:33 AM Conundrum: How many minutes are there between 6:08 AM and 1:42 PM? = : 454 Conundrum: What is 572 minutes after 12:52 AM? = : 10:24 AM Conundrum: What is 669 minutes before 7:42 AM? = : 8:33 PM Conundrum: What is 253 minutes before 1:35 PM? = : 9:22 AM Conundrum: What is 54 minutes before 7:07 AM? = : 6:13 AM Conundrum: What is 56 minutes before 11:49 AM? = : 10:53 AM Conundrum: How many minutes are there between 1:36 PM and 11:47 PM? = : 611 Conundrum: How many minutes are there between 12:48 PM and 3:26 PM? = : 158 Conundrum: What is 404 minutes after 11:15 PM? = : 5:59 AM Conundrum: What is 597 minutes after 5:22 PM? = : 3:19 AM Conundrum: How many minutes are there between 2:34 PM and 12:26 AM? = : 592 Conundrum: How many minutes are there between 2:03 AM and 7:56 AM? = : 353 Conundrum: What is 414 minutes after 11:26 AM? = : 6:20 PM Conundrum: How many minutes are there between 9:02 PM and 5:10 AM? = : 488 Conundrum: How many minutes are there between 7:14 AM and 2:02 PM? = : 408 Conundrum: What is 76 minutes after 11:17 PM? = : 12:33 AM Conundrum: How many minutes are there between 11:43 AM and 6:14 PM? = : 391 Conundrum: What is 36 minutes before 5:21 AM? = : 4:45 AM Conundrum: What is 676 minutes after 8:28 AM? = : 7:44 PM Conundrum: What is 525 minutes after 5:53 AM? = : 2:38 PM Conundrum: How many minutes are there between 4:19 AM and 5:26 AM? = : 67 Conundrum: What is 286 minutes after 6:53 PM? = : 11:39 PM Conundrum: How many minutes are there between 2:22 PM and 1:05 AM? = : 643 Conundrum: How many minutes are there between 7:52 AM and 11:35 AM? = : 223 Conundrum: Wh
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measurement: time ----------------- Math Q: What is 176 minutes after 11:36 PM? Soln: 2:32 AM Math Q: What is 546 minutes before 12:30 PM? Soln: 3:24 AM Math Q: What is 605 minutes before 6:10 PM? Soln: 8:05 AM Math Q: What is 661 minutes after 8:49 AM? Soln: 7:50 PM Math Q: How many minutes are there between 2:53 PM and 3:29 PM? Soln: 36 Math Q: How many minutes are there between 2:12 PM and 1:24 AM? Soln: 672 Math Q: How many minutes are there between 12:51 PM and 7:07 PM? Soln: 376 Math Q: What is 176 minutes before 4:48 AM? Soln: 1:52 AM Math Q: How many minutes are there between 7:27 AM and 8:07 AM? Soln: 40 Math Q: What is 385 minutes after 10:35 AM? Soln: 5:00 PM Math Q: What is 67 minutes before 7:58 AM? Soln: 6:51 AM Math Q: How many minutes are there between 10:11 PM and 11:10 PM? Soln: 59 Math Q: What is 573 minutes before 1:08 PM? Soln: 3:35 AM Math Q: What is 204 minutes before 9:08 AM? Soln: 5:44 AM Math Q: How many minutes are there between 11:43 AM and 1:34 PM? Soln: 111 Math Q: How many minutes are there between 3:56 PM and 5:37 PM? Soln: 101 Math Q: What is 401 minutes before 12:09 PM? Soln: 5:28 AM Math Q: What is 141 minutes after 1:58 AM? Soln: 4:19 AM Math Q: What is 303 minutes after 8:05 AM? Soln: 1:08 PM Math Q: What is 416 minutes after 11:28 AM? Soln: 6:24 PM Math Q: How many minutes are there between 1:06 PM and 2:08 PM? Soln: 62 Math Q: How many minutes are there between 10:07 AM and 6:28 PM? Soln: 501 Math Q: How many minutes are there between 5:47 AM and 12:28 PM? Soln: 401 Math Q: What is 353 minutes before 4:12 PM? Soln: 10:19 AM Math Q: How many minutes are there between 12:33 AM and 8:27 AM? Soln: 474 Math Q: How many minutes are there between 5:23 PM and 8:38 PM? Soln: 195 Math Q: How many minutes are there between 2:48 AM and 4:30 AM? Soln: 102 Math Q: What is 10 minutes before 10:01 AM? Soln: 9:51 AM Math Q: How many minutes are there between 11:21 AM and 6:30 PM? Soln: 429 Math Q: What is 428 minutes after 4:58 AM? Soln: 12:06
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numbers: place value -------------------- Task: What is the ten thousands digit of 263108569? Eval: 0 Task: What is the tens digit of 56256? Eval: 5 Task: What is the tens digit of 881300? Eval: 0 Task: What is the ten millions digit of 106096010? Eval: 0 Task: What is the tens digit of 9291? Eval: 9 Task: What is the hundreds digit of 1043? Eval: 0 Task: What is the millions digit of 1246160956? Eval: 6 Task: What is the tens digit of 1506456? Eval: 5 Task: What is the units digit of 383? Eval: 3 Task: What is the thousands digit of 1298? Eval: 1 Task: What is the thousands digit of 78567? Eval: 8 Task: What is the thousands digit of 105368611? Eval: 8 Task: What is the thousands digit of 2300190? Eval: 0 Task: What is the ten thousands digit of 111108158? Eval: 0 Task: What is the hundreds digit of 20639072? Eval: 0 Task: What is the units digit of 94530? Eval: 0 Task: What is the thousands digit of 35236? Eval: 5 Task: What is the hundreds digit of 19956843? Eval: 8 Task: What is the ten millions digit of 49227092? Eval: 4 Task: What is the hundred thousands digit of 1405609280? Eval: 6 Task: What is the hundreds digit of 502426398? Eval: 3 Task: What is the billions digit of 3188154009? Eval: 3 Task: What is the units digit of 349187? Eval: 7 Task: What is the ten thousands digit of 225809? Eval: 2 Task: What is the millions digit of 96033386? Eval: 6 Task: What is the units digit of 3282160? Eval: 0 Task: What is the tens digit of 3998? Eval: 9 Task: What is the millions digit of 11765734? Eval: 1 Task: What is the units digit of 62051? Eval: 1 Task: What is the ten thousands digit of 104038? Eval: 0 Task: What is the hundreds digit of 251? Eval: 2 Task: What is the units digit of 2028? Eval: 8 Task: What is the tens digit of 717? Eval: 1 Task: What is the thousands digit of 93118272? Eval: 8 Task: What is the hundreds digit of 6286? Eval: 2 Task: What is the thousands digit of 483232841? Eval: 2 Task: What is the thousands digit of 31515? Eval: 1 Task: What is
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probability: swr p sequence --------------------------- Item: Three letters picked without replacement from rjrrjjjjrrrrrjjrrhr. Give prob of sequence jjh. Fix: 7/969 Item: Calculate prob of sequence qll when three letters picked without replacement from {q: 1, f: 4, l: 3, o: 2, n: 3, r: 3}. Fix: 1/560 Item: Calculate prob of sequence cig when three letters picked without replacement from iggiiiiciiidiii. Fix: 11/1365 Item: What is prob of sequence vf when two letters picked without replacement from {f: 4, v: 2, s: 3}? Fix: 1/9 Item: What is prob of sequence hxrh when four letters picked without replacement from xxxrhhxrrrxhxxxx? Fix: 9/1820 Item: Three letters picked without replacement from qaakaakash. Give prob of sequence hah. Fix: 0 Item: Two letters picked without replacement from iixxeexxxdxxxxbxxxxe. What is prob of sequence ib? Fix: 1/190 Item: Four letters picked without replacement from {g: 7, f: 6, c: 1}. What is prob of sequence fffg? Fix: 5/143 Item: Two letters picked without replacement from {n: 3, h: 1, d: 6, i: 1, p: 2}. What is prob of sequence hi? Fix: 1/156 Item: Two letters picked without replacement from {b: 8, z: 3, m: 2, a: 3}. Give prob of sequence ma. Fix: 1/40 Item: Calculate prob of sequence znms when four letters picked without replacement from {z: 1, n: 1, s: 1, a: 1, m: 1}. Fix: 1/120 Item: Two letters picked without replacement from {e: 1, l: 3, a: 1, d: 1, q: 1}. Give prob of sequence le. Fix: 1/14 Item: Four letters picked without replacement from mmmmmmm. What is prob of sequence mmmm? Fix: 1 Item: What is prob of sequence ded when three letters picked without replacement from {d: 3, e: 3}? Fix: 3/20 Item: What is prob of sequence gppi when four letters picked without replacement from {b: 2, i: 1, p: 3, t: 9, g: 3}? Fix: 1/4080 Item: What is prob of sequence ffzz when four letters picked without replacement from zffzzzffzfttz? Fix: 5/143 Item: Three letters picked without replacement from {j: 3, k: 11}. Give prob of sequence kkk.
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measurement: conversion ----------------------- Q: What is 890.5215 kilometers in meters? Outcome: 890521.5 Q: How many milligrams are there in fifteen quarters of a gram? Outcome: 3750 Q: How many millilitres are there in 57/2 of a litre? Outcome: 28500 Q: What is twenty-seven halves of a microgram in nanograms? Outcome: 13500 Q: How many litres are there in 770535.7ml? Outcome: 770.5357 Q: What is 17/4 of a meter in millimeters? Outcome: 4250 Q: What is 42656.08 years in centuries? Outcome: 426.5608 Q: What is 20.025819 minutes in days? Outcome: 0.01390681875 Q: Convert 70041.91um to millimeters. Outcome: 70.04191 Q: What is thirteen quarters of a week in hours? Outcome: 546 Q: What is 7/15 of a century in months? Outcome: 560 Q: What is 3/32 of a tonne in grams? Outcome: 93750 Q: What is 1/20 of a century in years? Outcome: 5 Q: What is 601.485t in kilograms? Outcome: 601485 Q: What is 0.12679 tonnes in kilograms? Outcome: 126.79 Q: What is 0.8347118km in nanometers? Outcome: 834711800000 Q: What is 1/10 of a century in months? Outcome: 120 Q: What is 7.90116 litres in millilitres? Outcome: 7901.16 Q: How many litres are there in 403.91 millilitres? Outcome: 0.40391 Q: How many grams are there in fifty-one fifths of a kilogram? Outcome: 10200 Q: What is fifty-four fifths of a tonne in kilograms? Outcome: 10800 Q: Convert 130.3463l to millilitres. Outcome: 130346.3 Q: Convert 37623.96 nanometers to micrometers. Outcome: 37.62396 Q: Convert 16.91195 micrograms to milligrams. Outcome: 0.01691195 Q: How many millilitres are there in 53/5 of a litre? Outcome: 10600 Q: What is 9/10 of a micrometer in nanometers? Outcome: 900 Q: What is 598.1568mm in nanometers? Outcome: 598156800 Q: What is 1004025.3 months in years? Outcome: 83668.775 Q: How many micrograms are there in 1/4 of a milligram? Outcome: 250 Q: What is 0.8584813 kilometers in millimeters? Outcome: 858481.3 Q: What is six fifths of a millimeter in micrometers? Outcome: 1200 Q: What is 22807.8 millilitres in
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numbers: is prime ----------------- Ask: Is 38289 prime? Clarification: False Ask: Is 21272593417 a prime number? Clarification: True Ask: Is 358877 composite? Clarification: False Ask: Is 3808709 a prime number? Clarification: True Ask: Is 20053 a composite number? Clarification: True Ask: Is 5675344919 a composite number? Clarification: False Ask: Is 240067 a prime number? Clarification: False Ask: Is 24005053 a composite number? Clarification: False Ask: Is 11969719 a composite number? Clarification: True Ask: Is 30140282 prime? Clarification: False Ask: Is 1735201703 composite? Clarification: False Ask: Is 1048331899 a composite number? Clarification: True Ask: Is 1685872781 a prime number? Clarification: False Ask: Is 71439733 prime? Clarification: False Ask: Is 6701 composite? Clarification: False Ask: Is 1018451994869 composite? Clarification: False Ask: Is 1794205177 a prime number? Clarification: False Ask: Is 40531319 composite? Clarification: False Ask: Is 4380581 a prime number? Clarification: False Ask: Is 19911 composite? Clarification: True Ask: Is 35565371 composite? Clarification: False Ask: Is 680263 composite? Clarification: False Ask: Is 29905 composite? Clarification: True Ask: Is 11735833315 a prime number? Clarification: False Ask: Is 39079 prime? Clarification: True Ask: Is 86122081 a composite number? Clarification: False Ask: Is 6521 composite? Clarification: False Ask: Is 649 prime? Clarification: False Ask: Is 3635518001 a composite number? Clarification: False Ask: Is 639647 a prime number? Clarification: True Ask: Is 335258279 prime? Clarification: True Ask: Is 1589443 composite? Clarification: False Ask: Is 372245921 prime? Clarification: True Ask: Is 18355 a prime number? Clarification: False Ask: Is 105751 a prime number? Clarification: True Ask: Is 197647067 a prime number? Clarification: True Ask: Is 10537 a composite number? Clarification: True Ask: Is 46369 a composite number? Clarification: True Ask: Is 39956209 a prime number?
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numbers: is factor ------------------ Question: Is 11 a factor of 2002? Soln: True Question: Does 47 divide 34783? Soln: False Question: Does 9 divide 10911? Soln: False Question: Does 3697 divide 148194245? Soln: True Question: Does 4 divide 228? Soln: True Question: Does 577 divide 427881? Soln: False Question: Is 87320755 a multiple of 92? Soln: False Question: Does 15 divide 971? Soln: False Question: Is 7 a factor of 476? Soln: True Question: Is 8424 a multiple of 24? Soln: True Question: Is 57 a factor of 1167? Soln: False Question: Does 941 divide 838198573? Soln: True Question: Is 594 a factor of 59461182? Soln: True Question: Is 17 a factor of 72448645? Soln: True Question: Is 16856 a multiple of 138? Soln: False Question: Is 196 a factor of 21119784? Soln: True Question: Is 23 a factor of 191498? Soln: True Question: Is 10 a factor of 387099910? Soln: True Question: Does 2 divide 107039803? Soln: False Question: Is 526 a factor of 32216896? Soln: False Question: Is 53304480 a multiple of 160? Soln: True Question: Does 10 divide 117787599? Soln: False Question: Is 1127 a multiple of 48? Soln: False Question: Is 5 a factor of 239? Soln: False Question: Is 97897250 a multiple of 937? Soln: False Question: Is 32 a factor of 622607? Soln: False Question: Is 1317576183 a multiple of 161? Soln: True Question: Is 4145 a multiple of 6? Soln: False Question: Does 1663 divide 120287017? Soln: False Question: Is 40250 a multiple of 125? Soln: True Question: Is 209664 a multiple of 13? Soln: True Question: Is 328936111 a multiple of 17? Soln: True Question: Does 121 divide 57112? Soln: True Question: Is 76 a factor of 408224804? Soln: True Question: Is 484575210 a multiple of 27? Soln: True Question: Is 12 a factor of 9780? Soln: True Question: Does 15 divide 5385464? Soln: False Question: Does 50 divide 900? Soln: True Question: Does 52 divide 2704? Soln: True Question: Is 79 a factor of 17429? Soln: False Question: Is 1260 a multiple of 15? Soln: True Question: Is 11
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numbers: gcd ------------ Let us solve: What is the highest common factor of 12826 and 488554? Outcome: 1166 Let us solve: What is the highest common divisor of 117 and 1511991? Outcome: 117 Let us solve: What is the highest common divisor of 57312 and 26093676? Outcome: 2388 Let us solve: Calculate the greatest common divisor of 2171536 and 104. Outcome: 8 Let us solve: What is the highest common factor of 1558 and 38? Outcome: 38 Let us solve: Calculate the greatest common divisor of 569155 and 8455. Outcome: 445 Let us solve: What is the greatest common factor of 118 and 92453? Outcome: 59 Let us solve: Calculate the greatest common factor of 1 and 28736719. Outcome: 1 Let us solve: What is the greatest common divisor of 7436 and 163020? Outcome: 572 Let us solve: What is the highest common factor of 392625 and 8546661? Outcome: 3141 Let us solve: What is the greatest common divisor of 37228 and 920040? Outcome: 164 Let us solve: What is the highest common divisor of 1596 and 84? Outcome: 84 Let us solve: What is the greatest common divisor of 13 and 208? Outcome: 13 Let us solve: What is the highest common divisor of 397832710 and 20? Outcome: 10 Let us solve: What is the greatest common divisor of 44292909 and 838? Outcome: 419 Let us solve: What is the greatest common divisor of 91059402 and 21? Outcome: 21 Let us solve: Calculate the greatest common divisor of 4015 and 12228887. Outcome: 803 Let us solve: What is the greatest common divisor of 11 and 693? Outcome: 11 Let us solve: Calculate the highest common divisor of 2820 and 360. Outcome: 60 Let us solve: Calculate the highest common divisor of 344 and 64. Outcome: 8 Let us solve: Calculate the greatest common divisor of 882 and 332416. Outcome: 98 Let us solve: What is the greatest common factor of 30 and 70? Outcome: 10 Let us solve: Calculate the highest common factor of 2568 and 444. Outcome: 12 Let us solve: What is the highest common factor of 393444 and 12? Outcome: 12 Let us solve: Calculate the g
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numbers: div remainder ---------------------- Issue: What is the remainder when 11682739 is divided by 111? Sol: 100 Issue: Calculate the remainder when 109 is divided by 17. Sol: 7 Issue: Calculate the remainder when 88065 is divided by 482. Sol: 341 Issue: What is the remainder when 86383 is divided by 21019? Sol: 2307 Issue: Calculate the remainder when 12088 is divided by 403. Sol: 401 Issue: What is the remainder when 13580454 is divided by 47? Sol: 39 Issue: Calculate the remainder when 22793 is divided by 8. Sol: 1 Issue: What is the remainder when 628 is divided by 37? Sol: 36 Issue: What is the remainder when 202 is divided by 41? Sol: 38 Issue: Calculate the remainder when 15047 is divided by 93. Sol: 74 Issue: What is the remainder when 27233 is divided by 257? Sol: 248 Issue: What is the remainder when 9486 is divided by 163? Sol: 32 Issue: Calculate the remainder when 8116 is divided by 46. Sol: 20 Issue: Calculate the remainder when 522 is divided by 156. Sol: 54 Issue: What is the remainder when 533 is divided by 277? Sol: 256 Issue: Calculate the remainder when 29679635 is divided by 847989. Sol: 20 Issue: Calculate the remainder when 18968 is divided by 3729. Sol: 323 Issue: Calculate the remainder when 199601666 is divided by 19. Sol: 16 Issue: What is the remainder when 22669 is divided by 11017? Sol: 635 Issue: What is the remainder when 3208 is divided by 32? Sol: 8 Issue: What is the remainder when 645 is divided by 499? Sol: 146 Issue: What is the remainder when 6829581 is divided by 33? Sol: 0 Issue: What is the remainder when 8357 is divided by 8139? Sol: 218 Issue: Calculate the remainder when 1936 is divided by 40. Sol: 16 Issue: Calculate the remainder when 4724 is divided by 35. Sol: 34 Issue: Calculate the remainder when 6278614 is divided by 3354. Sol: 3280 Issue: What is the remainder when 55 is divided by 29? Sol: 26 Issue: Calculate the remainder when 644180 is divided by 579. Sol: 332 Issue: Calculate the remainder when 270 is divi
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numbers: place value -------------------- Exercise: What is the hundreds digit of 14130881? Yields: 8 Exercise: What is the tens digit of 6432141? Yields: 4 Exercise: What is the units digit of 47408? Yields: 8 Exercise: What is the hundreds digit of 9516? Yields: 5 Exercise: What is the hundreds digit of 383343888? Yields: 8 Exercise: What is the units digit of 97614? Yields: 4 Exercise: What is the tens digit of 4913741? Yields: 4 Exercise: What is the units digit of 5753? Yields: 3 Exercise: What is the hundred thousands digit of 92193506? Yields: 1 Exercise: What is the tens digit of 42083? Yields: 8 Exercise: What is the units digit of 150056455? Yields: 5 Exercise: What is the hundred thousands digit of 4697273? Yields: 6 Exercise: What is the units digit of 769572063? Yields: 3 Exercise: What is the hundreds digit of 459194792? Yields: 7 Exercise: What is the ten thousands digit of 11872? Yields: 1 Exercise: What is the thousands digit of 385318218? Yields: 8 Exercise: What is the hundreds digit of 28263? Yields: 2 Exercise: What is the thousands digit of 5688? Yields: 5 Exercise: What is the hundred thousands digit of 202074? Yields: 2 Exercise: What is the hundred millions digit of 119960064? Yields: 1 Exercise: What is the units digit of 4683? Yields: 3 Exercise: What is the hundred thousands digit of 217649406? Yields: 6 Exercise: What is the ten thousands digit of 17898? Yields: 1 Exercise: What is the thousands digit of 587403? Yields: 7 Exercise: What is the thousands digit of 1838940? Yields: 8 Exercise: What is the ten millions digit of 41940505? Yields: 4 Exercise: What is the tens digit of 63? Yields: 6 Exercise: What is the units digit of 11482? Yields: 2 Exercise: What is the tens digit of 1015692? Yields: 9 Exercise: What is the ten millions digit of 1378300218? Yields: 7 Exercise: What is the ten thousands digit of 38374245? Yields: 7 Exercise: What is the hundred thousands digit of 340171997? Yields: 1 Exercise: What is the ten millions digit
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measurement: time ----------------- Puzzle: What is 387 minutes before 9:23 AM? Conclusion: 2:56 AM Puzzle: What is 557 minutes before 11:02 AM? Conclusion: 1:45 AM Puzzle: What is 549 minutes after 2:38 PM? Conclusion: 11:47 PM Puzzle: How many minutes are there between 4:13 PM and 8:19 PM? Conclusion: 246 Puzzle: How many minutes are there between 9:04 AM and 8:58 PM? Conclusion: 714 Puzzle: What is 448 minutes after 3:36 AM? Conclusion: 11:04 AM Puzzle: How many minutes are there between 12:39 AM and 8:03 AM? Conclusion: 444 Puzzle: What is 53 minutes before 9:01 PM? Conclusion: 8:08 PM Puzzle: What is 670 minutes before 3:34 PM? Conclusion: 4:24 AM Puzzle: How many minutes are there between 4:34 AM and 9:38 AM? Conclusion: 304 Puzzle: How many minutes are there between 8:04 AM and 7:31 PM? Conclusion: 687 Puzzle: What is 639 minutes after 11:27 PM? Conclusion: 10:06 AM Puzzle: What is 607 minutes before 11:08 AM? Conclusion: 1:01 AM Puzzle: How many minutes are there between 7:17 AM and 6:39 PM? Conclusion: 682 Puzzle: What is 132 minutes after 10:47 AM? Conclusion: 12:59 PM Puzzle: What is 667 minutes after 3:56 AM? Conclusion: 3:03 PM Puzzle: What is 446 minutes after 10:29 AM? Conclusion: 5:55 PM Puzzle: What is 250 minutes before 12:19 AM? Conclusion: 8:09 PM Puzzle: How many minutes are there between 5:19 AM and 5:25 AM? Conclusion: 6 Puzzle: What is 530 minutes before 4:59 AM? Conclusion: 8:09 PM Puzzle: What is 292 minutes before 3:19 PM? Conclusion: 10:27 AM Puzzle: What is 517 minutes after 2:53 PM? Conclusion: 11:30 PM Puzzle: What is 420 minutes after 2:33 PM? Conclusion: 9:33 PM Puzzle: How many minutes are there between 8:01 PM and 5:10 AM? Conclusion: 549 Puzzle: What is 90 minutes before 9:39 PM? Conclusion: 8:09 PM Puzzle: What is 360 minutes after 3:50 AM? Conclusion: 9:50 AM Puzzle: What is 304 minutes after 8:13 AM? Conclusion: 1:17 PM Puzzle: What is 405 minutes before 12:35 PM? Conclusion: 5:50 AM Puzzle: What is 173 minutes before 8:19 PM?
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probability: swr p sequence --------------------------- Task: What is prob of sequence rno when three letters picked without replacement from {n: 2, o: 3, r: 4}? Sol: 1/21 Task: Two letters picked without replacement from {a: 9, f: 1, l: 1, t: 2}. Give prob of sequence af. Sol: 3/52 Task: Calculate prob of sequence yoe when three letters picked without replacement from {e: 1, y: 1, t: 5, j: 2, o: 8}. Sol: 1/510 Task: Two letters picked without replacement from dhhddddh. Give prob of sequence dd. Sol: 5/14 Task: Four letters picked without replacement from {m: 1, i: 6, e: 5, w: 2, r: 2, t: 1}. What is prob of sequence rwmi? Sol: 1/2380 Task: Calculate prob of sequence womw when four letters picked without replacement from womvmooovwomvovvoom. Sol: 2/2907 Task: Two letters picked without replacement from {q: 1, d: 2, c: 4, h: 2}. Give prob of sequence hq. Sol: 1/36 Task: Two letters picked without replacement from lllpholop. What is prob of sequence ol? Sol: 1/9 Task: What is prob of sequence zz when two letters picked without replacement from {z: 15, o: 5}? Sol: 21/38 Task: Four letters picked without replacement from {j: 10, p: 4, q: 2}. Give prob of sequence ppqp. Sol: 1/910 Task: Four letters picked without replacement from {p: 7, i: 2}. What is prob of sequence ppip? Sol: 5/36 Task: Calculate prob of sequence xler when four letters picked without replacement from ltxrlre. Sol: 1/210 Task: Two letters picked without replacement from {g: 1, y: 3, d: 5, i: 4}. What is prob of sequence yg? Sol: 1/52 Task: Calculate prob of sequence tp when two letters picked without replacement from {d: 1, z: 1, t: 2, p: 1}. Sol: 1/10 Task: What is prob of sequence rar when three letters picked without replacement from rrrarrarrr? Sol: 7/45 Task: Two letters picked without replacement from {s: 1, z: 6, t: 11}. Give prob of sequence zs. Sol: 1/51 Task: Three letters picked without replacement from vxvdv. What is prob of sequence xvv? Sol: 1/10 Task: Two letters picked without replacem
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numbers: is factor ------------------ Conundrum: Does 46 divide 395? Response: False Conundrum: Is 4600 a multiple of 5? Response: True Conundrum: Does 10 divide 1530? Response: True Conundrum: Does 76 divide 344443303? Response: False Conundrum: Does 11 divide 14157? Response: True Conundrum: Is 30 a factor of 2606? Response: False Conundrum: Does 120 divide 1345? Response: False Conundrum: Is 123341 a multiple of 42? Response: False Conundrum: Does 25 divide 270971? Response: False Conundrum: Is 21456 a multiple of 144? Response: True Conundrum: Is 17340 a multiple of 17? Response: True Conundrum: Is 16 a factor of 208? Response: True Conundrum: Is 169 a factor of 112554? Response: True Conundrum: Is 23722678 a multiple of 19? Response: True Conundrum: Is 7 a factor of 7854? Response: True Conundrum: Is 1283100 a multiple of 1300? Response: True Conundrum: Does 13 divide 18555056? Response: True Conundrum: Does 10 divide 15864010? Response: True Conundrum: Does 154 divide 511036? Response: False Conundrum: Is 3070860 a multiple of 155? Response: True Conundrum: Does 14 divide 780? Response: False Conundrum: Is 119701 even? Response: False Conundrum: Is 17816 a multiple of 17? Response: True Conundrum: Does 152 divide 2668609224? Response: False Conundrum: Is 714871 a multiple of 79? Response: True Conundrum: Is 4 a factor of 1118? Response: False Conundrum: Is 23 a factor of 17750612? Response: False Conundrum: Is 114 a factor of 34937? Response: False Conundrum: Is 170 a multiple of 21? Response: False Conundrum: Is 168 a multiple of 4? Response: True Conundrum: Is 6337 a factor of 181459995? Response: True Conundrum: Is 1478 a factor of 450945190? Response: True Conundrum: Is 22 a factor of 273714135? Response: False Conundrum: Is 1361953138 a multiple of 3242? Response: False Conundrum: Is 5 a factor of 8755947? Response: False Conundrum: Is 301 a factor of 24678689? Response: True Conundrum: Does 21 divide 1229831? Response: False Conundrum: Is 15172270 a mult
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measurement: conversion ----------------------- Qn: What is 3/10 of a meter in millimeters? Clarification: 300 Qn: Convert 85.86129mm to centimeters. Clarification: 8.586129 Qn: How many days are there in 95.99718 hours? Clarification: 3.9998825 Qn: Convert 485301.1ms to nanoseconds. Clarification: 485301100000 Qn: How many years are there in 3/10 of a millennium? Clarification: 300 Qn: How many litres are there in 0.2986327ml? Clarification: 0.0002986327 Qn: What is 5/4 of a litre in millilitres? Clarification: 1250 Qn: How many micrometers are there in five quarters of a centimeter? Clarification: 12500 Qn: How many centimeters are there in 6/25 of a meter? Clarification: 24 Qn: What is 6/25 of a kilogram in grams? Clarification: 240 Qn: What is 13/4 of a litre in millilitres? Clarification: 3250 Qn: Convert 509211.6 litres to millilitres. Clarification: 509211600 Qn: What is 790.4765 minutes in seconds? Clarification: 47428.59 Qn: How many millilitres are there in 1/4 of a litre? Clarification: 250 Qn: What is 1/20 of a gram in milligrams? Clarification: 50 Qn: What is 0.3476837 nanometers in kilometers? Clarification: 0.0000000000003476837 Qn: What is 11/4 of a century in months? Clarification: 3300 Qn: What is 29/2 of a day in hours? Clarification: 348 Qn: How many nanometers are there in 13861.28 meters? Clarification: 13861280000000 Qn: How many meters are there in 3/8 of a kilometer? Clarification: 375 Qn: How many litres are there in 4.115286ml? Clarification: 0.004115286 Qn: What is 1/4 of a milligram in micrograms? Clarification: 250 Qn: How many meters are there in 0.0850377 micrometers? Clarification: 0.0000000850377 Qn: Convert 9.146734 decades to years. Clarification: 91.46734 Qn: How many millilitres are there in one quarter of a litre? Clarification: 250 Qn: How many hours are there in fifteen quarters of a day? Clarification: 90 Qn: How many years are there in 114.37779 months? Clarification: 9.5314825 Qn: What is 7.790897 micrograms in grams? Clar
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arithmetic: nearest integer root -------------------------------- Case: What is 44611 to the power of 1/2, to the nearest integer? Compute: 211 Case: What is 9135561 to the power of 1/4, to the nearest integer? Compute: 55 Case: What is the seventh root of 184482568 to the nearest integer? Compute: 15 Case: What is the seventh root of 596 to the nearest integer? Compute: 2 Case: What is 4882164241 to the power of 1/2, to the nearest integer? Compute: 69872 Case: What is 36454728 to the power of 1/9, to the nearest integer? Compute: 7 Case: What is the tenth root of 101616 to the nearest integer? Compute: 3 Case: What is the cube root of 40225 to the nearest integer? Compute: 34 Case: What is the seventh root of 89568 to the nearest integer? Compute: 5 Case: What is the third root of 175246 to the nearest integer? Compute: 56 Case: What is 729901 to the power of 1/3, to the nearest integer? Compute: 90 Case: What is the cube root of 583 to the nearest integer? Compute: 8 Case: What is 2191 to the power of 1/3, to the nearest integer? Compute: 13 Case: What is the cube root of 55191637 to the nearest integer? Compute: 381 Case: What is the square root of 12495 to the nearest integer? Compute: 112 Case: What is 175345008 to the power of 1/3, to the nearest integer? Compute: 560 Case: What is the cube root of 19219167 to the nearest integer? Compute: 268 Case: What is 3935 to the power of 1/2, to the nearest integer? Compute: 63 Case: What is the tenth root of 797576403 to the nearest integer? Compute: 8 Case: What is 931352 to the power of 1/2, to the nearest integer? Compute: 965 Case: What is 669007 to the power of 1/2, to the nearest integer? Compute: 818 Case: What is the ninth root of 374159 to the nearest integer? Compute: 4 Case: What is the third root of 1400 to the nearest integer? Compute: 11 Case: What is the square root of 105136 to the nearest integer? Compute: 324 Case: What is 8540315 to the power of 1/2, to the nearest integer? Compute: 2922 Case: What
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numbers: is factor ------------------ Scenario: Does 116 divide 488036? Answer: False Scenario: Does 69 divide 2705? Answer: False Scenario: Is 45 a factor of 30151981? Answer: False Scenario: Is 848 a multiple of 10? Answer: False Scenario: Is 38216343 a multiple of 3? Answer: True Scenario: Does 404 divide 115201590? Answer: False Scenario: Does 6 divide 1054289915? Answer: False Scenario: Is 54 a factor of 2592? Answer: True Scenario: Does 261 divide 16631254? Answer: False Scenario: Is 18 a factor of 6769? Answer: False Scenario: Is 406 a multiple of 14? Answer: True Scenario: Does 130 divide 3061110? Answer: True Scenario: Is 5262 a multiple of 12? Answer: False Scenario: Is 8 a factor of 2207684? Answer: False Scenario: Is 128 a factor of 872960? Answer: True Scenario: Is 22 a factor of 1593768? Answer: True Scenario: Does 234 divide 1533636? Answer: True Scenario: Is 1605092 a multiple of 548? Answer: True Scenario: Does 16 divide 4000? Answer: True Scenario: Is 1154 a factor of 37760034? Answer: True Scenario: Does 105 divide 2368894084? Answer: False Scenario: Does 43 divide 666731807? Answer: False Scenario: Is 231 a factor of 79695? Answer: True Scenario: Is 3150 a multiple of 75? Answer: True Scenario: Is 49200 a multiple of 328? Answer: True Scenario: Is 81880 a multiple of 8? Answer: True Scenario: Does 3119 divide 1998831907? Answer: False Scenario: Is 3716 a multiple of 25? Answer: False Scenario: Is 10 a factor of 750? Answer: True Scenario: Does 56 divide 818376295? Answer: False Scenario: Is 16 a factor of 2852270656? Answer: True Scenario: Does 4 divide 1004? Answer: True Scenario: Does 185 divide 9428525? Answer: True Scenario: Is 1948798 a multiple of 7? Answer: False Scenario: Is 264 a factor of 2503715? Answer: False Scenario: Is 12506 a multiple of 169? Answer: True Scenario: Is 10913919 a multiple of 827? Answer: True Scenario: Does 88 divide 595216549? Answer: False Scenario: Is 4310 a multiple of 43? Answer: False Scenario: Does 11 divide
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numbers: is prime ----------------- Conundrum: Is 23873045117 a prime number? Solution: True Conundrum: Is 477301 a prime number? Solution: False Conundrum: Is 1395273083 prime? Solution: False Conundrum: Is 462898823 a composite number? Solution: True Conundrum: Is 2047931 a composite number? Solution: True Conundrum: Is 181361 a composite number? Solution: False Conundrum: Is 24819569 prime? Solution: True Conundrum: Is 167934869 composite? Solution: True Conundrum: Is 5771501 a composite number? Solution: False Conundrum: Is 3867524033 composite? Solution: True Conundrum: Is 148997 a prime number? Solution: True Conundrum: Is 899 prime? Solution: False Conundrum: Is 909607753 composite? Solution: False Conundrum: Is 6953950559 composite? Solution: False Conundrum: Is 37378465997 a composite number? Solution: True Conundrum: Is 20392109 prime? Solution: False Conundrum: Is 220973 composite? Solution: False Conundrum: Is 20685919 a prime number? Solution: True Conundrum: Is 172890539 composite? Solution: False Conundrum: Is 2021321 composite? Solution: False Conundrum: Is 10487 prime? Solution: True Conundrum: Is 15121553 a composite number? Solution: False Conundrum: Is 68067429517 composite? Solution: False Conundrum: Is 3224755 composite? Solution: True Conundrum: Is 357366143 prime? Solution: True Conundrum: Is 4849612343 prime? Solution: False Conundrum: Is 23366340061 composite? Solution: False Conundrum: Is 46523 prime? Solution: True Conundrum: Is 2541127 a composite number? Solution: False Conundrum: Is 2407929 prime? Solution: False Conundrum: Is 476717 a prime number? Solution: False Conundrum: Is 3847180679 composite? Solution: False Conundrum: Is 96067 composite? Solution: True Conundrum: Is 403537 a composite number? Solution: False Conundrum: Is 295915 a prime number? Solution: False Conundrum: Is 432275377 a prime number? Solution: False Conundrum: Is 61297843741 composite? Solution: True Conundrum: Is 12306053 prime? Solution: False Conundrum: Is 6
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numbers: is prime ----------------- Test item: Is 5510831 a prime number? Response: False Test item: Is 1950033 prime? Response: False Test item: Is 47543 a composite number? Response: False Test item: Is 2767 a composite number? Response: False Test item: Is 17899 a prime number? Response: False Test item: Is 924431699 a prime number? Response: True Test item: Is 2999639 prime? Response: True Test item: Is 3765238933 composite? Response: False Test item: Is 92821 composite? Response: False Test item: Is 230608429 a composite number? Response: False Test item: Is 23883887 a prime number? Response: True Test item: Is 959076071 a composite number? Response: False Test item: Is 6353 a composite number? Response: False Test item: Is 225467833 composite? Response: False Test item: Is 499877 composite? Response: True Test item: Is 411687631 prime? Response: True Test item: Is 17813 prime? Response: False Test item: Is 792740489 prime? Response: False Test item: Is 14112459289 composite? Response: False Test item: Is 42525641 a composite number? Response: False Test item: Is 1283 a prime number? Response: True Test item: Is 5227 a prime number? Response: True Test item: Is 799891 a prime number? Response: True Test item: Is 8317266187 prime? Response: False Test item: Is 2775403 prime? Response: False Test item: Is 5236573883 a composite number? Response: False Test item: Is 45928851103 a composite number? Response: True Test item: Is 207821521 a prime number? Response: True Test item: Is 375021106 a composite number? Response: True Test item: Is 904133 a composite number? Response: True Test item: Is 9413794007 prime? Response: True Test item: Is 25985183 a composite number? Response: True Test item: Is 447871 composite? Response: True Test item: Is 23741 composite? Response: False Test item: Is 78526779407 prime? Response: True Test item: Is 89263 a composite number? Response: True Test item: Is 356549 a prime number? Response: True Test item: Is 4271 prime? Response: Tr
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numbers: place value -------------------- Question: What is the units digit of 73375279? Answer: 9 Question: What is the units digit of 725550? Answer: 0 Question: What is the hundred millions digit of 2412125450? Answer: 4 Question: What is the hundred thousands digit of 1935730850? Answer: 7 Question: What is the units digit of 708770? Answer: 0 Question: What is the units digit of 13355832? Answer: 2 Question: What is the hundreds digit of 22173612? Answer: 6 Question: What is the ten thousands digit of 173729129? Answer: 2 Question: What is the thousands digit of 67851? Answer: 7 Question: What is the units digit of 2528? Answer: 8 Question: What is the hundred thousands digit of 865737? Answer: 8 Question: What is the hundreds digit of 1269? Answer: 2 Question: What is the hundreds digit of 759876? Answer: 8 Question: What is the thousands digit of 64022? Answer: 4 Question: What is the hundreds digit of 13587? Answer: 5 Question: What is the hundred thousands digit of 3477914? Answer: 4 Question: What is the hundred thousands digit of 272819179? Answer: 8 Question: What is the hundreds digit of 346812011? Answer: 0 Question: What is the ten thousands digit of 89243? Answer: 8 Question: What is the ten thousands digit of 6597267? Answer: 9 Question: What is the tens digit of 63710511? Answer: 1 Question: What is the hundreds digit of 144218104? Answer: 1 Question: What is the hundred thousands digit of 3877136? Answer: 8 Question: What is the hundreds digit of 2240? Answer: 2 Question: What is the ten millions digit of 737789104? Answer: 3 Question: What is the hundreds digit of 6353? Answer: 3 Question: What is the thousands digit of 2059? Answer: 2 Question: What is the units digit of 28230? Answer: 0 Question: What is the units digit of 308? Answer: 8 Question: What is the hundreds digit of 102873344? Answer: 3 Question: What is the hundred thousands digit of 2207790? Answer: 2 Question: What is the hundred thousands digit of 6204593? Answer: 2 Question: Wha
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probability: swr p level set ---------------------------- Test item: Two letters picked without replacement from {c: 9, h: 3}. What is prob of picking 1 c and 1 h? Sol: 9/22 Test item: Calculate prob of picking 1 x and 3 q when four letters picked without replacement from qxxqqqqqqq. Sol: 8/15 Test item: What is prob of picking 3 f and 1 l when four letters picked without replacement from fffflfllffklflffffff? Sol: 364/969 Test item: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {x: 3, t: 1}. Sol: 1/2 Test item: What is prob of picking 1 i and 1 c when two letters picked without replacement from ttciucutcstctttcttti? Sol: 1/19 Test item: Four letters picked without replacement from {u: 5, o: 7, m: 3, d: 2}. What is prob of picking 2 m and 2 d? Sol: 3/2380 Test item: Calculate prob of picking 3 x when three letters picked without replacement from qxqqqqqxqqqxqqqxqq. Sol: 1/204 Test item: What is prob of picking 2 y and 1 j when three letters picked without replacement from nyynnjntynnynnn? Sol: 6/455 Test item: Four letters picked without replacement from zyyzyyyyzy. Give prob of picking 3 z and 1 y. Sol: 1/30 Test item: Two letters picked without replacement from {r: 6, q: 5, w: 4}. What is prob of picking 1 r and 1 w? Sol: 8/35 Test item: Two letters picked without replacement from {j: 4, f: 5, c: 4, i: 6}. What is prob of picking 2 i? Sol: 5/57 Test item: Four letters picked without replacement from wotdo. What is prob of picking 2 o, 1 t, and 1 w? Sol: 1/5 Test item: What is prob of picking 1 i, 1 r, and 2 q when four letters picked without replacement from {i: 1, r: 7, q: 5}? Sol: 14/143 Test item: Three letters picked without replacement from {c: 1, b: 5, x: 3, w: 1, e: 4}. Give prob of picking 1 x and 2 e. Sol: 9/182 Test item: Calculate prob of picking 4 k when four letters picked without replacement from akkakkakaaakkaaa. Sol: 1/52 Test item: Calculate prob of picking 1 k and 2 e when three letters picked without repl
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probability: swr p sequence --------------------------- Given: Calculate prob of sequence wel when three letters picked without replacement from celcwe. = : 1/60 Given: Three letters picked without replacement from {s: 2, x: 18}. What is prob of sequence xss? = : 1/190 Given: What is prob of sequence aa when two letters picked without replacement from {s: 5, a: 7}? = : 7/22 Given: Calculate prob of sequence kk when two letters picked without replacement from wkkkkkkkkkkkk. = : 11/13 Given: Two letters picked without replacement from {h: 5, l: 3}. What is prob of sequence hh? = : 5/14 Given: Calculate prob of sequence ornn when four letters picked without replacement from {r: 5, o: 1, n: 5}. = : 5/396 Given: Three letters picked without replacement from iiiiiiciiiiiciiiic. What is prob of sequence icc? = : 5/272 Given: Calculate prob of sequence gg when two letters picked without replacement from ugssbbbbbgug. = : 1/22 Given: Calculate prob of sequence nc when two letters picked without replacement from {a: 4, c: 2, n: 3, x: 6}. = : 1/35 Given: Two letters picked without replacement from uvvuvvvuuuvu. Give prob of sequence uv. = : 3/11 Given: Two letters picked without replacement from ugomdrmugdrrmr. Give prob of sequence gd. = : 2/91 Given: Calculate prob of sequence zmz when three letters picked without replacement from {j: 10, z: 6, m: 4}. = : 1/57 Given: Calculate prob of sequence nkg when three letters picked without replacement from ngkg. = : 1/12 Given: What is prob of sequence bed when three letters picked without replacement from eenntdbtznbbnz? = : 1/364 Given: Four letters picked without replacement from ynkky. What is prob of sequence yykk? = : 1/30 Given: Three letters picked without replacement from vovvoioio. Give prob of sequence ivi. = : 1/84 Given: Calculate prob of sequence mtwt when four letters picked without replacement from wwmttmtwtwtmwmww. = : 1/78 Given: Two letters picked without replacement from ueeuppeeuep. Give prob of sequence ue. = :
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arithmetic: nearest integer root -------------------------------- Question: What is the fifth root of 24714525 to the nearest integer? Therefore: 30 Question: What is 292908404 to the power of 1/4, to the nearest integer? Therefore: 131 Question: What is 7020224909 to the power of 1/10, to the nearest integer? Therefore: 10 Question: What is 825063 to the power of 1/8, to the nearest integer? Therefore: 5 Question: What is the square root of 81499716 to the nearest integer? Therefore: 9028 Question: What is 292 to the power of 1/9, to the nearest integer? Therefore: 2 Question: What is 34394416 to the power of 1/2, to the nearest integer? Therefore: 5865 Question: What is the cube root of 6132754 to the nearest integer? Therefore: 183 Question: What is 4399 to the power of 1/3, to the nearest integer? Therefore: 16 Question: What is the cube root of 297 to the nearest integer? Therefore: 7 Question: What is 2442841 to the power of 1/3, to the nearest integer? Therefore: 135 Question: What is the third root of 35870965 to the nearest integer? Therefore: 330 Question: What is 2868320 to the power of 1/7, to the nearest integer? Therefore: 8 Question: What is 294001 to the power of 1/2, to the nearest integer? Therefore: 542 Question: What is the square root of 202815 to the nearest integer? Therefore: 450 Question: What is the square root of 42200202 to the nearest integer? Therefore: 6496 Question: What is 552071 to the power of 1/2, to the nearest integer? Therefore: 743 Question: What is the third root of 115081 to the nearest integer? Therefore: 49 Question: What is the seventh root of 8515142 to the nearest integer? Therefore: 10 Question: What is the third root of 9268 to the nearest integer? Therefore: 21 Question: What is the fifth root of 122222842 to the nearest integer? Therefore: 41 Question: What is the tenth root of 351137 to the nearest integer? Therefore: 4 Question: What is the square root of 53254781 to the nearest integer? Therefore: 7298 Question:
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measurement: conversion ----------------------- Topic: What is 7/4 of a kilometer in meters? Ans: 1750 Topic: How many millilitres are there in 3/25 of a litre? Ans: 120 Topic: What is 42/5 of a gram in milligrams? Ans: 8400 Topic: How many hours are there in 17/6 of a week? Ans: 476 Topic: How many centuries are there in 1/5 of a millennium? Ans: 2 Topic: How many years are there in 21/5 of a decade? Ans: 42 Topic: How many milliseconds are there in 1/6 of a minute? Ans: 10000 Topic: What is 0.0567468 tonnes in micrograms? Ans: 56746800000 Topic: How many nanometers are there in 55/4 of a micrometer? Ans: 13750 Topic: How many grams are there in fourty-three quarters of a kilogram? Ans: 10750 Topic: How many micrograms are there in 7/4 of a milligram? Ans: 1750 Topic: What is 3155.047kg in nanograms? Ans: 3155047000000000 Topic: How many kilograms are there in 0.9105156t? Ans: 910.5156 Topic: Convert 78.62848 millilitres to litres. Ans: 0.07862848 Topic: What is 6/25 of a millennium in decades? Ans: 24 Topic: How many micrograms are there in 3/10 of a milligram? Ans: 300 Topic: What is 61/2 of a millennium in years? Ans: 30500 Topic: How many meters are there in 27222.67cm? Ans: 272.2267 Topic: What is 9.896702 hours in microseconds? Ans: 35628127200 Topic: What is 21/5 of a minute in seconds? Ans: 252 Topic: Convert 371.2453 milligrams to tonnes. Ans: 0.0000003712453 Topic: How many grams are there in 0.8635755mg? Ans: 0.0008635755 Topic: What is fifty-three fifths of a hour in seconds? Ans: 38160 Topic: Convert 0.038443 centuries to decades. Ans: 0.38443 Topic: Convert 9.519293m to millimeters. Ans: 9519.293 Topic: What is 3/10 of a milligram in micrograms? Ans: 300 Topic: How many years are there in 21.032436 months? Ans: 1.752703 Topic: How many nanograms are there in 52/5 of a microgram? Ans: 10400 Topic: How many nanoseconds are there in 3/5 of a microsecond? Ans: 600 Topic: What is fifty-one halves of a litre in millilitres? Ans: 25500 Topic: What is 173060.
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probability: swr p level set ---------------------------- Example: Three letters picked without replacement from {e: 4, o: 10, v: 2, y: 4}. Give prob of picking 2 v and 1 y. = : 1/285 Example: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, g: 5, o: 3, k: 1, y: 1, l: 1}. = : 1/78 Example: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {c: 3, b: 4, r: 1, a: 4, g: 1, t: 4}. = : 3/34 Example: Calculate prob of picking 3 a when three letters picked without replacement from {x: 1, a: 3}. = : 1/4 Example: What is prob of picking 4 p when four letters picked without replacement from {e: 9, p: 10}? = : 35/646 Example: Calculate prob of picking 3 g and 1 y when four letters picked without replacement from {x: 3, y: 1, g: 4, z: 3}. = : 2/165 Example: Calculate prob of picking 2 x and 1 w when three letters picked without replacement from evwwwwlwtvxxl. = : 5/286 Example: Calculate prob of picking 2 h when two letters picked without replacement from {d: 1, w: 1, z: 2, h: 4, u: 1}. = : 1/6 Example: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {r: 5, m: 9}. = : 45/91 Example: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from guunuguguguluguuvl. = : 1/17 Example: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from noenezonononn. = : 4/39 Example: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from {n: 5, f: 8}. = : 20/39 Example: What is prob of picking 2 l, 1 x, and 1 b when four letters picked without replacement from lbbbblxxbxbxxxbsbxxx? = : 24/1615 Example: Calculate prob of picking 1 w and 2 s when three letters picked without replacement from pllslwslwplss. = : 6/143 Example: Three letters picked without replacement from {k: 7, g: 1, i: 1}. What is prob of picking 2 k and 1 i? = : 1/4 Example: Two letters picked without replacement from vtuuamm. Give
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numbers: is prime ----------------- Problem Statement: Is 631987 composite? Response: False Problem Statement: Is 103141 composite? Response: False Problem Statement: Is 158857 prime? Response: False Problem Statement: Is 10064807 a composite number? Response: True Problem Statement: Is 2772493979 prime? Response: False Problem Statement: Is 2828097893 composite? Response: True Problem Statement: Is 1069699 composite? Response: True Problem Statement: Is 167557 composite? Response: True Problem Statement: Is 1409819 a prime number? Response: False Problem Statement: Is 17252276879 prime? Response: True Problem Statement: Is 339739 prime? Response: False Problem Statement: Is 4765117627 a composite number? Response: True Problem Statement: Is 2929 a composite number? Response: True Problem Statement: Is 23333949359 composite? Response: True Problem Statement: Is 16194259 prime? Response: True Problem Statement: Is 3414510751 a prime number? Response: False Problem Statement: Is 54696023 a composite number? Response: False Problem Statement: Is 93979 composite? Response: False Problem Statement: Is 12146314177 prime? Response: True Problem Statement: Is 22772578379 composite? Response: False Problem Statement: Is 1695582271 prime? Response: True Problem Statement: Is 1207042 composite? Response: True Problem Statement: Is 245153 a composite number? Response: True Problem Statement: Is 1979 a composite number? Response: False Problem Statement: Is 5529077 a composite number? Response: False Problem Statement: Is 8663 a composite number? Response: False Problem Statement: Is 16602913 a composite number? Response: False Problem Statement: Is 3353 a prime number? Response: False Problem Statement: Is 1469759 a prime number? Response: False Problem Statement: Is 69980503 prime? Response: True Problem Statement: Is 1049918161 prime? Response: True Problem Statement: Is 3603797279 a composite number? Response: True Problem Statement: Is 1166549 composite? Response: False Pro
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arithmetic: nearest integer root -------------------------------- Problem: What is the cube root of 1876540871 to the nearest integer? Soln: 1233 Problem: What is 63259 to the power of 1/4, to the nearest integer? Soln: 16 Problem: What is 3267 to the power of 1/2, to the nearest integer? Soln: 57 Problem: What is the square root of 923080 to the nearest integer? Soln: 961 Problem: What is 589 to the power of 1/4, to the nearest integer? Soln: 5 Problem: What is 1292 to the power of 1/2, to the nearest integer? Soln: 36 Problem: What is the eighth root of 3645 to the nearest integer? Soln: 3 Problem: What is the square root of 82714 to the nearest integer? Soln: 288 Problem: What is the cube root of 343528805 to the nearest integer? Soln: 700 Problem: What is 484999 to the power of 1/9, to the nearest integer? Soln: 4 Problem: What is 71388 to the power of 1/3, to the nearest integer? Soln: 41 Problem: What is 36463 to the power of 1/5, to the nearest integer? Soln: 8 Problem: What is 241684 to the power of 1/9, to the nearest integer? Soln: 4 Problem: What is the square root of 36454 to the nearest integer? Soln: 191 Problem: What is the third root of 43094 to the nearest integer? Soln: 35 Problem: What is 1326404 to the power of 1/2, to the nearest integer? Soln: 1152 Problem: What is the cube root of 419641945 to the nearest integer? Soln: 749 Problem: What is 458932826 to the power of 1/3, to the nearest integer? Soln: 771 Problem: What is the seventh root of 2969065 to the nearest integer? Soln: 8 Problem: What is the square root of 1903 to the nearest integer? Soln: 44 Problem: What is the tenth root of 971 to the nearest integer? Soln: 2 Problem: What is the ninth root of 3541 to the nearest integer? Soln: 2 Problem: What is the third root of 222 to the nearest integer? Soln: 6 Problem: What is the square root of 311496633 to the nearest integer? Soln: 17649 Problem: What is the square root of 1119 to the nearest integer? Soln: 33 Problem: What is the square
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numbers: is prime ----------------- Problem #: Is 92405 a composite number? Calculation: True Problem #: Is 2369824843 a prime number? Calculation: True Problem #: Is 6595019 composite? Calculation: True Problem #: Is 41053 a composite number? Calculation: True Problem #: Is 584293 a composite number? Calculation: True Problem #: Is 3905209019 a composite number? Calculation: False Problem #: Is 1272272909 composite? Calculation: False Problem #: Is 1990361 prime? Calculation: True Problem #: Is 33691439 prime? Calculation: True Problem #: Is 1276157 a prime number? Calculation: True Problem #: Is 237982068497 a composite number? Calculation: False Problem #: Is 45449 a prime number? Calculation: False Problem #: Is 19373 composite? Calculation: False Problem #: Is 15080633 composite? Calculation: True Problem #: Is 2281973 prime? Calculation: True Problem #: Is 306823 a composite number? Calculation: True Problem #: Is 1047 a composite number? Calculation: True Problem #: Is 28115 composite? Calculation: True Problem #: Is 4184676347 a prime number? Calculation: False Problem #: Is 652831 prime? Calculation: True Problem #: Is 670177 composite? Calculation: False Problem #: Is 523009316101 a composite number? Calculation: False Problem #: Is 32493 a prime number? Calculation: False Problem #: Is 1217160771 composite? Calculation: True Problem #: Is 3550861 prime? Calculation: True Problem #: Is 1216462891 a prime number? Calculation: False Problem #: Is 1250479 prime? Calculation: True Problem #: Is 104245 a composite number? Calculation: True Problem #: Is 6664139 a prime number? Calculation: True Problem #: Is 65479 a composite number? Calculation: False Problem #: Is 64243 composite? Calculation: True Problem #: Is 1290493 a prime number? Calculation: False Problem #: Is 42570248491 prime? Calculation: True Problem #: Is 2195 prime? Calculation: False Problem #: Is 103437743 a composite number? Calculation: False Problem #: Is 27141073 prime? Calculation: True P
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measurement: conversion ----------------------- Task: How many centuries are there in 56188.46 years? Sol: 561.8846 Task: Convert 78.76l to millilitres. Sol: 78760 Task: What is 60119.856 minutes in days? Sol: 41.7499 Task: Convert 51152.62 tonnes to kilograms. Sol: 51152620 Task: What is 782659.2 millennia in years? Sol: 782659200 Task: How many millilitres are there in 775672.2 litres? Sol: 775672200 Task: How many litres are there in 0.7472329ml? Sol: 0.0007472329 Task: How many millennia are there in 0.6806942 years? Sol: 0.0006806942 Task: How many centuries are there in 646137.7 years? Sol: 6461.377 Task: What is 17/4 of a millennium in decades? Sol: 425 Task: What is fifteen sixteenths of a millennium in months? Sol: 11250 Task: What is 51/4 of a year in months? Sol: 153 Task: What is 627.664 millennia in centuries? Sol: 6276.64 Task: What is three tenths of a millimeter in micrometers? Sol: 300 Task: What is 0.1434316 millennia in decades? Sol: 14.34316 Task: What is eleven quarters of a gram in milligrams? Sol: 2750 Task: What is 3/25 of a millimeter in micrometers? Sol: 120 Task: How many kilograms are there in 3/10 of a tonne? Sol: 300 Task: What is 79/2 of a micrometer in nanometers? Sol: 39500 Task: Convert 8219.844 tonnes to grams. Sol: 8219844000 Task: How many millilitres are there in 6/5 of a litre? Sol: 1200 Task: How many months are there in seven quarters of a year? Sol: 21 Task: What is 7/8 of a kilometer in meters? Sol: 875 Task: How many decades are there in one fifth of a millennium? Sol: 20 Task: How many minutes are there in three sixteenths of a day? Sol: 270 Task: How many meters are there in 76758.54 nanometers? Sol: 0.00007675854 Task: What is one quarter of a millisecond in microseconds? Sol: 250 Task: What is 920.0805 hours in microseconds? Sol: 3312289800000 Task: How many minutes are there in twenty-eight ninths of a day? Sol: 4480 Task: How many micrograms are there in 3/10 of a milligram? Sol: 300 Task: How many millilitres are th
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numbers: is factor ------------------ Problem: Does 170 divide 7610050? Clarification: True Problem: Is 3962881 a multiple of 31? Clarification: False Problem: Is 15 a factor of 1515? Clarification: True Problem: Is 20339544 a multiple of 23? Clarification: True Problem: Is 1795157 a multiple of 7? Clarification: True Problem: Is 18 a factor of 3131186? Clarification: False Problem: Does 33 divide 4923? Clarification: False Problem: Is 123 a factor of 1556073? Clarification: True Problem: Does 8 divide 218488? Clarification: True Problem: Does 116 divide 232? Clarification: True Problem: Does 11 divide 1420012054? Clarification: False Problem: Is 446 a factor of 161427916? Clarification: True Problem: Is 112 a factor of 6384? Clarification: True Problem: Is 46 a factor of 1410084? Clarification: True Problem: Is 284403 a multiple of 29? Clarification: True Problem: Is 8441 a factor of 650963479? Clarification: False Problem: Does 10 divide 29750? Clarification: True Problem: Does 6 divide 2052? Clarification: True Problem: Does 24 divide 288? Clarification: True Problem: Is 1836 a factor of 1060227576? Clarification: True Problem: Does 13 divide 37? Clarification: False Problem: Does 7142 divide 277014567? Clarification: False Problem: Is 41 a factor of 32716? Clarification: False Problem: Does 471 divide 1518418? Clarification: False Problem: Is 4 a factor of 36884? Clarification: True Problem: Is 1016 a factor of 1562923976? Clarification: True Problem: Does 1495 divide 293737600? Clarification: True Problem: Is 2002 a multiple of 26? Clarification: True Problem: Does 525 divide 111825? Clarification: True Problem: Is 12 a factor of 1140? Clarification: True Problem: Does 69 divide 221973? Clarification: True Problem: Does 6 divide 5880? Clarification: True Problem: Is 114 a factor of 975498? Clarification: True Problem: Is 24771 a multiple of 359? Clarification: True Problem: Is 102 a multiple of 3? Clarification: True Problem: Does 68 divide 9899100? Clarificati
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arithmetic: nearest integer root -------------------------------- Part A: What is 35982 to the power of 1/10, to the nearest integer? Calculation: 3 Part A: What is the cube root of 75 to the nearest integer? Calculation: 4 Part A: What is the ninth root of 41281100 to the nearest integer? Calculation: 7 Part A: What is 35543 to the power of 1/10, to the nearest integer? Calculation: 3 Part A: What is the square root of 1066 to the nearest integer? Calculation: 33 Part A: What is 226922221 to the power of 1/2, to the nearest integer? Calculation: 15064 Part A: What is 68709439 to the power of 1/2, to the nearest integer? Calculation: 8289 Part A: What is the third root of 11766 to the nearest integer? Calculation: 23 Part A: What is 16789190 to the power of 1/2, to the nearest integer? Calculation: 4097 Part A: What is 799296141 to the power of 1/3, to the nearest integer? Calculation: 928 Part A: What is 4057264 to the power of 1/6, to the nearest integer? Calculation: 13 Part A: What is the third root of 655863 to the nearest integer? Calculation: 87 Part A: What is the cube root of 32048315 to the nearest integer? Calculation: 318 Part A: What is 37714953 to the power of 1/3, to the nearest integer? Calculation: 335 Part A: What is 24128267 to the power of 1/2, to the nearest integer? Calculation: 4912 Part A: What is the square root of 3107 to the nearest integer? Calculation: 56 Part A: What is 5704 to the power of 1/2, to the nearest integer? Calculation: 76 Part A: What is 1022638 to the power of 1/7, to the nearest integer? Calculation: 7 Part A: What is 995941 to the power of 1/9, to the nearest integer? Calculation: 5 Part A: What is 50196 to the power of 1/3, to the nearest integer? Calculation: 37 Part A: What is the cube root of 2455398864 to the nearest integer? Calculation: 1349 Part A: What is 46 to the power of 1/3, to the nearest integer? Calculation: 4 Part A: What is the fourth root of 764 to the nearest integer? Calculation: 5 Part A: What is 19
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probability: swr p sequence --------------------------- Q/A: Calculate prob of sequence aaef when four letters picked without replacement from efffeeeefaaef. Ans: 1/286 Q/A: Calculate prob of sequence auh when three letters picked without replacement from mmhaua. Ans: 1/60 Q/A: Four letters picked without replacement from ffffffffduddfddfdf. What is prob of sequence dudf? Ans: 11/2448 Q/A: Calculate prob of sequence yd when two letters picked without replacement from {y: 1, f: 1, e: 8, d: 7}. Ans: 7/272 Q/A: What is prob of sequence gt when two letters picked without replacement from llattatltogglgtot? Ans: 9/136 Q/A: Calculate prob of sequence on when two letters picked without replacement from {n: 3, y: 1, b: 6, o: 1, c: 1}. Ans: 1/44 Q/A: Three letters picked without replacement from {u: 1, s: 1, a: 1, v: 1, z: 1}. What is prob of sequence sau? Ans: 1/60 Q/A: Four letters picked without replacement from mgzlg. What is prob of sequence lgzm? Ans: 1/60 Q/A: Four letters picked without replacement from orrororrro. What is prob of sequence rroo? Ans: 1/14 Q/A: Three letters picked without replacement from abiiiai. What is prob of sequence bai? Ans: 4/105 Q/A: Three letters picked without replacement from {z: 3, i: 2}. Give prob of sequence iii. Ans: 0 Q/A: Three letters picked without replacement from nnnnn. Give prob of sequence nnn. Ans: 1 Q/A: Calculate prob of sequence xzx when three letters picked without replacement from xuukpxpz. Ans: 1/168 Q/A: What is prob of sequence dg when two letters picked without replacement from {g: 5, c: 5, h: 4, d: 1}? Ans: 1/42 Q/A: Three letters picked without replacement from ccqqqqlqqhqqqqql. What is prob of sequence qch? Ans: 11/1680 Q/A: What is prob of sequence xaka when four letters picked without replacement from {h: 1, x: 6, k: 3, a: 3}? Ans: 9/1430 Q/A: Three letters picked without replacement from kllclclclllllp. Give prob of sequence clp. Ans: 9/728 Q/A: Three letters picked without replacement from {f: 5, r: 2, l: 2}.
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numbers: gcd ------------ Given: Calculate the greatest common divisor of 28 and 266. Sol: 14 Given: What is the greatest common divisor of 6925701 and 3? Sol: 3 Given: What is the highest common divisor of 1675 and 67? Sol: 67 Given: Calculate the highest common divisor of 81 and 2043. Sol: 9 Given: Calculate the highest common divisor of 1758988 and 7700. Sol: 308 Given: Calculate the greatest common factor of 6255 and 22670. Sol: 5 Given: What is the greatest common factor of 30 and 61430? Sol: 10 Given: What is the highest common divisor of 194 and 4795486? Sol: 194 Given: What is the greatest common divisor of 85000 and 85? Sol: 85 Given: Calculate the greatest common factor of 84240044 and 5943. Sol: 1981 Given: Calculate the highest common factor of 858 and 214786. Sol: 286 Given: Calculate the highest common divisor of 2210 and 37803376. Sol: 442 Given: What is the greatest common divisor of 1066388 and 72910? Sol: 634 Given: What is the highest common divisor of 1275 and 130254? Sol: 51 Given: What is the highest common factor of 220 and 2585? Sol: 55 Given: Calculate the highest common factor of 72 and 4433140. Sol: 4 Given: Calculate the greatest common factor of 1775310 and 75. Sol: 15 Given: Calculate the highest common divisor of 26 and 1651. Sol: 13 Given: What is the highest common factor of 1290 and 54277395? Sol: 645 Given: What is the highest common divisor of 143 and 77? Sol: 11 Given: What is the highest common factor of 625976 and 4630? Sol: 926 Given: What is the greatest common factor of 2869 and 33421? Sol: 19 Given: Calculate the highest common factor of 9 and 29. Sol: 1 Given: Calculate the highest common divisor of 5340604 and 13716. Sol: 508 Given: What is the greatest common factor of 1660 and 4421660? Sol: 20 Given: Calculate the highest common divisor of 15104 and 767. Sol: 59 Given: Calculate the highest common factor of 74 and 3968805. Sol: 37 Given: What is the greatest common factor of 130 and 3445? Sol: 65 Given: Calculate the gr
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numbers: div remainder ---------------------- Topic: What is the remainder when 9712 is divided by 531? Resolution: 154 Topic: Calculate the remainder when 319214 is divided by 23. Resolution: 20 Topic: Calculate the remainder when 14 is divided by 8. Resolution: 6 Topic: Calculate the remainder when 122 is divided by 41. Resolution: 40 Topic: Calculate the remainder when 883565 is divided by 38. Resolution: 27 Topic: What is the remainder when 25929 is divided by 70? Resolution: 29 Topic: What is the remainder when 2582 is divided by 2526? Resolution: 56 Topic: Calculate the remainder when 281 is divided by 83. Resolution: 32 Topic: Calculate the remainder when 14269500 is divided by 22. Resolution: 14 Topic: Calculate the remainder when 132134 is divided by 26413. Resolution: 69 Topic: What is the remainder when 130191 is divided by 420? Resolution: 411 Topic: Calculate the remainder when 19368953 is divided by 187. Resolution: 54 Topic: Calculate the remainder when 310 is divided by 45. Resolution: 40 Topic: What is the remainder when 2537404 is divided by 1178? Resolution: 1170 Topic: Calculate the remainder when 147 is divided by 39. Resolution: 30 Topic: What is the remainder when 161 is divided by 34? Resolution: 25 Topic: What is the remainder when 892621 is divided by 16? Resolution: 13 Topic: What is the remainder when 11351252 is divided by 1135125? Resolution: 2 Topic: Calculate the remainder when 888 is divided by 179. Resolution: 172 Topic: What is the remainder when 13956 is divided by 3487? Resolution: 8 Topic: What is the remainder when 36924 is divided by 401? Resolution: 32 Topic: Calculate the remainder when 69142 is divided by 118. Resolution: 112 Topic: What is the remainder when 884 is divided by 55? Resolution: 4 Topic: What is the remainder when 283194 is divided by 2860? Resolution: 54 Topic: What is the remainder when 506 is divided by 170? Resolution: 166 Topic: Calculate the remainder when 23769 is divided by 5536. Resolution: 1625 Topic
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probability: swr p sequence --------------------------- Ask: What is prob of sequence rw when two letters picked without replacement from wwlr? Conclusion: 1/6 Ask: What is prob of sequence mjmj when four letters picked without replacement from ysemjsehjhmhyh? Conclusion: 1/6006 Ask: Three letters picked without replacement from huttfptfturfuuu. Give prob of sequence tut. Conclusion: 2/91 Ask: Calculate prob of sequence rl when two letters picked without replacement from lrdddlld. Conclusion: 3/56 Ask: What is prob of sequence dq when two letters picked without replacement from {d: 1, q: 1, y: 1, v: 1, f: 3}? Conclusion: 1/42 Ask: What is prob of sequence gh when two letters picked without replacement from {s: 1, u: 1, h: 1, z: 1, r: 1, g: 2}? Conclusion: 1/21 Ask: Three letters picked without replacement from {b: 2, p: 2, n: 5, h: 2, a: 2, o: 1}. Give prob of sequence bnp. Conclusion: 5/546 Ask: Two letters picked without replacement from {q: 2, o: 7, l: 1}. What is prob of sequence lo? Conclusion: 7/90 Ask: Three letters picked without replacement from {y: 2, s: 2, i: 2}. What is prob of sequence iss? Conclusion: 1/30 Ask: Calculate prob of sequence oyo when three letters picked without replacement from mbfmmyomoyybyy. Conclusion: 5/1092 Ask: Calculate prob of sequence gw when two letters picked without replacement from {a: 2, w: 13, g: 3}. Conclusion: 13/102 Ask: Three letters picked without replacement from onnnnjnxxonjjnjn. What is prob of sequence xnj? Conclusion: 2/105 Ask: Three letters picked without replacement from {m: 3, x: 13, o: 2}. Give prob of sequence mxx. Conclusion: 13/136 Ask: Three letters picked without replacement from gbbbbglg. Give prob of sequence ggl. Conclusion: 1/56 Ask: Three letters picked without replacement from {q: 1, j: 13, e: 3, v: 2}. Give prob of sequence qvj. Conclusion: 13/2907 Ask: What is prob of sequence gr when two letters picked without replacement from {r: 2, g: 1, d: 2, m: 2, e: 1, s: 7}? Conclusion: 1/105 Ask: Three le
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measurement: conversion ----------------------- Problem #: What is 0.3891613mm in micrometers? Workthrough: 389.1613 Problem #: Convert 780.981mg to kilograms. Workthrough: 0.000780981 Problem #: What is 3065.524 centuries in months? Workthrough: 3678628.8 Problem #: How many seconds are there in 4/3 of a minute? Workthrough: 80 Problem #: How many milligrams are there in 5/4 of a gram? Workthrough: 1250 Problem #: What is one sixth of a hour in seconds? Workthrough: 600 Problem #: What is 0.4666351 millilitres in litres? Workthrough: 0.0004666351 Problem #: How many meters are there in 45/2 of a kilometer? Workthrough: 22500 Problem #: What is 11/4 of a litre in millilitres? Workthrough: 2750 Problem #: How many millilitres are there in 9/10 of a litre? Workthrough: 900 Problem #: Convert 61317.38mm to micrometers. Workthrough: 61317380 Problem #: How many months are there in one sixth of a millennium? Workthrough: 2000 Problem #: How many meters are there in one fifth of a kilometer? Workthrough: 200 Problem #: How many microseconds are there in 105.6422 nanoseconds? Workthrough: 0.1056422 Problem #: What is 2/15 of a century in months? Workthrough: 160 Problem #: How many milligrams are there in 10294.06ng? Workthrough: 0.01029406 Problem #: How many seconds are there in one fifth of a day? Workthrough: 17280 Problem #: How many seconds are there in 2/15 of a day? Workthrough: 11520 Problem #: What is 2.299761ml in litres? Workthrough: 0.002299761 Problem #: What is fifty-one fifths of a kilogram in grams? Workthrough: 10200 Problem #: What is 5/14 of a week in minutes? Workthrough: 3600 Problem #: What is three tenths of a meter in millimeters? Workthrough: 300 Problem #: How many micrograms are there in 6/5 of a milligram? Workthrough: 1200 Problem #: What is 1/9 of a week in minutes? Workthrough: 1120 Problem #: Convert 0.060081 years to centuries. Workthrough: 0.00060081 Problem #: What is 11/4 of a minute in seconds? Workthrough: 165 Problem #: What is 0.283
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probability: swr p sequence --------------------------- Given: What is prob of sequence amom when four letters picked without replacement from msoaasmsmasooa? Interpretation: 3/1001 Given: Two letters picked without replacement from {i: 3, v: 1, t: 1, o: 4, q: 2}. Give prob of sequence oo. Interpretation: 6/55 Given: Two letters picked without replacement from bbb. What is prob of sequence bb? Interpretation: 1 Given: Four letters picked without replacement from {s: 4, k: 3, a: 5, q: 1, w: 1}. What is prob of sequence aasq? Interpretation: 10/3003 Given: Four letters picked without replacement from {m: 1, a: 4, z: 8}. Give prob of sequence aaaa. Interpretation: 1/715 Given: Two letters picked without replacement from dqdkdqqkqqkqqqfdqfq. What is prob of sequence fk? Interpretation: 1/57 Given: What is prob of sequence pk when two letters picked without replacement from {k: 7, p: 2}? Interpretation: 7/36 Given: Calculate prob of sequence jfjj when four letters picked without replacement from yijiiijixxfhyyjjhi. Interpretation: 1/3060 Given: Three letters picked without replacement from sllslfsssfllssl. Give prob of sequence slf. Interpretation: 2/65 Given: What is prob of sequence mj when two letters picked without replacement from jmgxr? Interpretation: 1/20 Given: Two letters picked without replacement from ufpufv. Give prob of sequence pv. Interpretation: 1/30 Given: Calculate prob of sequence oo when two letters picked without replacement from {o: 2, p: 2}. Interpretation: 1/6 Given: Four letters picked without replacement from {q: 4, u: 5, x: 4, z: 2, h: 2}. What is prob of sequence uqux? Interpretation: 2/357 Given: What is prob of sequence xu when two letters picked without replacement from {r: 3, z: 3, u: 3, q: 3, t: 2, x: 1}? Interpretation: 1/70 Given: Three letters picked without replacement from {b: 3, y: 13, n: 2}. Give prob of sequence yny. Interpretation: 13/204 Given: Two letters picked without replacement from {x: 5, g: 7, i: 1, a: 2, p: 1}. What is
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numbers: div remainder ---------------------- Topic: Calculate the remainder when 2086 is divided by 9. = : 7 Topic: Calculate the remainder when 30951 is divided by 64. = : 39 Topic: Calculate the remainder when 1245085 is divided by 28295. = : 105 Topic: Calculate the remainder when 319 is divided by 12. = : 7 Topic: Calculate the remainder when 18421 is divided by 57. = : 10 Topic: Calculate the remainder when 1384595 is divided by 17. = : 13 Topic: Calculate the remainder when 12808 is divided by 4263. = : 19 Topic: What is the remainder when 9377 is divided by 313? = : 300 Topic: What is the remainder when 979 is divided by 324? = : 7 Topic: Calculate the remainder when 215 is divided by 173. = : 42 Topic: What is the remainder when 14 is divided by 14? = : 0 Topic: Calculate the remainder when 519030 is divided by 693. = : 666 Topic: Calculate the remainder when 157254413 is divided by 604. = : 597 Topic: Calculate the remainder when 1819563 is divided by 55. = : 53 Topic: Calculate the remainder when 7905 is divided by 7839. = : 66 Topic: What is the remainder when 357 is divided by 12? = : 9 Topic: Calculate the remainder when 107973 is divided by 44. = : 41 Topic: Calculate the remainder when 280 is divided by 11. = : 5 Topic: Calculate the remainder when 2695 is divided by 387. = : 373 Topic: What is the remainder when 170922 is divided by 179? = : 156 Topic: Calculate the remainder when 122333 is divided by 621. = : 617 Topic: Calculate the remainder when 172117 is divided by 2358. = : 2341 Topic: Calculate the remainder when 2857507 is divided by 490. = : 317 Topic: What is the remainder when 145 is divided by 38? = : 31 Topic: Calculate the remainder when 278 is divided by 9. = : 8 Topic: Calculate the remainder when 12030 is divided by 10545. = : 1485 Topic: What is the remainder when 261285 is divided by 191? = : 188 Topic: Calculate the remainder when 8427 is divided by 688. = : 171 Topic: Calculate the remainder when 56041342 is divided by 12279. =
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numbers: place value -------------------- Topic: What is the ten millions digit of 336128042? Soln: 3 Topic: What is the ten millions digit of 16836560? Soln: 1 Topic: What is the thousands digit of 5479? Soln: 5 Topic: What is the millions digit of 115705657? Soln: 5 Topic: What is the ten thousands digit of 19361252? Soln: 6 Topic: What is the hundreds digit of 2162? Soln: 1 Topic: What is the thousands digit of 10632? Soln: 0 Topic: What is the hundred thousands digit of 88365048? Soln: 3 Topic: What is the hundred thousands digit of 423740419? Soln: 7 Topic: What is the hundreds digit of 4722? Soln: 7 Topic: What is the tens digit of 3077? Soln: 7 Topic: What is the hundred millions digit of 2070506890? Soln: 0 Topic: What is the hundred thousands digit of 8952345? Soln: 9 Topic: What is the hundred thousands digit of 215913? Soln: 2 Topic: What is the hundreds digit of 3194? Soln: 1 Topic: What is the hundred millions digit of 2053197184? Soln: 0 Topic: What is the hundred millions digit of 282692808? Soln: 2 Topic: What is the tens digit of 237228229? Soln: 2 Topic: What is the units digit of 4453061971? Soln: 1 Topic: What is the ten thousands digit of 11416309? Soln: 1 Topic: What is the hundred millions digit of 794497779? Soln: 7 Topic: What is the units digit of 17654? Soln: 4 Topic: What is the thousands digit of 744557585? Soln: 7 Topic: What is the tens digit of 11953? Soln: 5 Topic: What is the thousands digit of 22800? Soln: 2 Topic: What is the millions digit of 40245733? Soln: 0 Topic: What is the units digit of 7926361? Soln: 1 Topic: What is the hundreds digit of 3051? Soln: 0 Topic: What is the hundred millions digit of 116092023? Soln: 1 Topic: What is the ten thousands digit of 228080489? Soln: 8 Topic: What is the hundreds digit of 937? Soln: 9 Topic: What is the thousands digit of 26236? Soln: 6 Topic: What is the hundreds digit of 108296062? Soln: 0 Topic: What is the tens digit of 7020? Soln: 2 Topic: What is the hundred millions digit of
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arithmetic: nearest integer root -------------------------------- Given: What is the cube root of 31001 to the nearest integer? Thus: 31 Given: What is 1934 to the power of 1/9, to the nearest integer? Thus: 2 Given: What is 79952 to the power of 1/5, to the nearest integer? Thus: 10 Given: What is 46900 to the power of 1/3, to the nearest integer? Thus: 36 Given: What is 294143619 to the power of 1/2, to the nearest integer? Thus: 17151 Given: What is the square root of 414545312 to the nearest integer? Thus: 20360 Given: What is the fourth root of 1634421847 to the nearest integer? Thus: 201 Given: What is 170275 to the power of 1/3, to the nearest integer? Thus: 55 Given: What is 2338758 to the power of 1/3, to the nearest integer? Thus: 133 Given: What is the ninth root of 10883 to the nearest integer? Thus: 3 Given: What is 3198326 to the power of 1/10, to the nearest integer? Thus: 4 Given: What is the tenth root of 348595 to the nearest integer? Thus: 4 Given: What is 88636052 to the power of 1/4, to the nearest integer? Thus: 97 Given: What is 23067 to the power of 1/3, to the nearest integer? Thus: 28 Given: What is 3764 to the power of 1/5, to the nearest integer? Thus: 5 Given: What is the third root of 221027 to the nearest integer? Thus: 60 Given: What is 121 to the power of 1/10, to the nearest integer? Thus: 2 Given: What is the tenth root of 178784773 to the nearest integer? Thus: 7 Given: What is the cube root of 1036371 to the nearest integer? Thus: 101 Given: What is the eighth root of 12350 to the nearest integer? Thus: 3 Given: What is 990152 to the power of 1/7, to the nearest integer? Thus: 7 Given: What is the seventh root of 40782 to the nearest integer? Thus: 5 Given: What is 328350 to the power of 1/8, to the nearest integer? Thus: 5 Given: What is the third root of 1401944 to the nearest integer? Thus: 112 Given: What is the ninth root of 90414985 to the nearest integer? Thus: 8 Given: What is 436 to the power of 1/3, to the nearest integ
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arithmetic: nearest integer root -------------------------------- Exercise: What is the square root of 795036 to the nearest integer? Conclusion: 892 Exercise: What is 191145 to the power of 1/2, to the nearest integer? Conclusion: 437 Exercise: What is 92757 to the power of 1/9, to the nearest integer? Conclusion: 4 Exercise: What is 8530 to the power of 1/3, to the nearest integer? Conclusion: 20 Exercise: What is 35185 to the power of 1/5, to the nearest integer? Conclusion: 8 Exercise: What is the third root of 9300 to the nearest integer? Conclusion: 21 Exercise: What is the fourth root of 18566806 to the nearest integer? Conclusion: 66 Exercise: What is the seventh root of 2305358890 to the nearest integer? Conclusion: 22 Exercise: What is the third root of 45783 to the nearest integer? Conclusion: 36 Exercise: What is the eighth root of 2552 to the nearest integer? Conclusion: 3 Exercise: What is 1812 to the power of 1/2, to the nearest integer? Conclusion: 43 Exercise: What is 2549556 to the power of 1/2, to the nearest integer? Conclusion: 1597 Exercise: What is the sixth root of 380 to the nearest integer? Conclusion: 3 Exercise: What is the tenth root of 6594 to the nearest integer? Conclusion: 2 Exercise: What is the eighth root of 765873 to the nearest integer? Conclusion: 5 Exercise: What is the cube root of 106895 to the nearest integer? Conclusion: 47 Exercise: What is 1069 to the power of 1/7, to the nearest integer? Conclusion: 3 Exercise: What is the third root of 1197 to the nearest integer? Conclusion: 11 Exercise: What is the square root of 2203 to the nearest integer? Conclusion: 47 Exercise: What is the third root of 252761 to the nearest integer? Conclusion: 63 Exercise: What is 65655 to the power of 1/9, to the nearest integer? Conclusion: 3 Exercise: What is the cube root of 30871 to the nearest integer? Conclusion: 31 Exercise: What is the cube root of 3621648 to the nearest integer? Conclusion: 154 Exercise: What is 4819 to the power of
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measurement: time ----------------- Issue: How many minutes are there between 4:24 AM and 4:14 PM? Steps: 710 Issue: How many minutes are there between 9:48 AM and 10:32 AM? Steps: 44 Issue: What is 184 minutes before 1:29 AM? Steps: 10:25 PM Issue: What is 404 minutes after 9:00 PM? Steps: 3:44 AM Issue: How many minutes are there between 1:27 PM and 5:25 PM? Steps: 238 Issue: How many minutes are there between 10:44 PM and 3:57 AM? Steps: 313 Issue: How many minutes are there between 8:24 AM and 1:10 PM? Steps: 286 Issue: How many minutes are there between 1:44 AM and 1:55 AM? Steps: 11 Issue: How many minutes are there between 10:35 AM and 2:33 PM? Steps: 238 Issue: How many minutes are there between 2:39 AM and 5:07 AM? Steps: 148 Issue: How many minutes are there between 12:28 AM and 5:48 AM? Steps: 320 Issue: What is 44 minutes after 7:48 PM? Steps: 8:32 PM Issue: How many minutes are there between 2:37 AM and 4:40 AM? Steps: 123 Issue: How many minutes are there between 5:48 PM and 8:27 PM? Steps: 159 Issue: What is 585 minutes before 6:10 PM? Steps: 8:25 AM Issue: How many minutes are there between 4:10 AM and 12:58 PM? Steps: 528 Issue: How many minutes are there between 12:55 PM and 2:32 PM? Steps: 97 Issue: What is 493 minutes before 12:59 AM? Steps: 4:46 PM Issue: What is 266 minutes before 9:00 AM? Steps: 4:34 AM Issue: How many minutes are there between 10:00 AM and 1:43 PM? Steps: 223 Issue: How many minutes are there between 5:45 PM and 7:14 PM? Steps: 89 Issue: What is 265 minutes after 3:40 AM? Steps: 8:05 AM Issue: What is 48 minutes before 8:29 AM? Steps: 7:41 AM Issue: How many minutes are there between 3:50 PM and 8:46 PM? Steps: 296 Issue: How many minutes are there between 5:32 PM and 7:44 PM? Steps: 132 Issue: How many minutes are there between 8:26 PM and 3:54 AM? Steps: 448 Issue: What is 669 minutes before 4:41 AM? Steps: 5:32 PM Issue: What is 448 minutes before 10:23 AM? Steps: 2:55 AM Issue: How many minutes are there between 5:07 PM a
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arithmetic: nearest integer root -------------------------------- Exercise: What is 771 to the power of 1/2, to the nearest integer? Explanation: 28 Exercise: What is 14326595 to the power of 1/4, to the nearest integer? Explanation: 62 Exercise: What is the fourth root of 407045359 to the nearest integer? Explanation: 142 Exercise: What is 116034373 to the power of 1/2, to the nearest integer? Explanation: 10772 Exercise: What is the square root of 33835 to the nearest integer? Explanation: 184 Exercise: What is 6550058 to the power of 1/2, to the nearest integer? Explanation: 2559 Exercise: What is 58 to the power of 1/3, to the nearest integer? Explanation: 4 Exercise: What is 56756149 to the power of 1/6, to the nearest integer? Explanation: 20 Exercise: What is 2281952 to the power of 1/2, to the nearest integer? Explanation: 1511 Exercise: What is the tenth root of 80254452 to the nearest integer? Explanation: 6 Exercise: What is 10248046 to the power of 1/2, to the nearest integer? Explanation: 3201 Exercise: What is 347864790 to the power of 1/3, to the nearest integer? Explanation: 703 Exercise: What is 17443 to the power of 1/10, to the nearest integer? Explanation: 3 Exercise: What is 239881732 to the power of 1/10, to the nearest integer? Explanation: 7 Exercise: What is 76796 to the power of 1/3, to the nearest integer? Explanation: 43 Exercise: What is 8519032 to the power of 1/6, to the nearest integer? Explanation: 14 Exercise: What is the ninth root of 5493491 to the nearest integer? Explanation: 6 Exercise: What is 584 to the power of 1/10, to the nearest integer? Explanation: 2 Exercise: What is the square root of 3141991 to the nearest integer? Explanation: 1773 Exercise: What is 1013 to the power of 1/8, to the nearest integer? Explanation: 2 Exercise: What is the third root of 80043181 to the nearest integer? Explanation: 431 Exercise: What is 27774662 to the power of 1/3, to the nearest integer? Explanation: 303 Exercise: What is the sixth roo
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numbers: gcd ------------ Q): What is the greatest common divisor of 136838 and 3952? Eval: 494 Q): What is the highest common divisor of 74210 and 1267? Eval: 181 Q): Calculate the greatest common divisor of 55014 and 242892. Eval: 1038 Q): Calculate the highest common divisor of 1634 and 450167. Eval: 817 Q): What is the highest common divisor of 105 and 75? Eval: 15 Q): What is the greatest common divisor of 27 and 1053? Eval: 27 Q): Calculate the highest common divisor of 753434 and 4807. Eval: 253 Q): What is the highest common factor of 3 and 57? Eval: 3 Q): Calculate the greatest common divisor of 174 and 13746. Eval: 174 Q): Calculate the highest common divisor of 11541 and 12468127. Eval: 3847 Q): Calculate the highest common divisor of 17 and 2533. Eval: 17 Q): What is the greatest common divisor of 5508 and 45? Eval: 9 Q): Calculate the highest common factor of 131 and 1. Eval: 1 Q): What is the greatest common divisor of 7275 and 75? Eval: 75 Q): Calculate the greatest common divisor of 111737 and 58. Eval: 29 Q): Calculate the greatest common divisor of 23580 and 26855. Eval: 655 Q): Calculate the highest common factor of 393450 and 183. Eval: 183 Q): Calculate the highest common divisor of 103510 and 2200. Eval: 110 Q): Calculate the highest common factor of 4617 and 515391093. Eval: 4617 Q): Calculate the highest common divisor of 45734 and 169. Eval: 13 Q): What is the greatest common factor of 157 and 63805? Eval: 1 Q): Calculate the highest common divisor of 23 and 184. Eval: 23 Q): What is the greatest common factor of 123 and 714097? Eval: 41 Q): What is the highest common divisor of 324720 and 3465? Eval: 495 Q): What is the highest common divisor of 44 and 132? Eval: 44 Q): Calculate the highest common divisor of 10 and 1140. Eval: 10 Q): What is the highest common factor of 95 and 5? Eval: 5 Q): What is the greatest common divisor of 3348 and 18213768? Eval: 108 Q): Calculate the highest common divisor of 6742384 and 5742. Eval: 638 Q): What i
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numbers: place value -------------------- What if: What is the units digit of 8464? Sol: 4 What if: What is the thousands digit of 1419909? Sol: 9 What if: What is the hundreds digit of 384? Sol: 3 What if: What is the thousands digit of 12209029? Sol: 9 What if: What is the thousands digit of 6492978942? Sol: 8 What if: What is the hundreds digit of 7828? Sol: 8 What if: What is the thousands digit of 4588264? Sol: 8 What if: What is the hundred millions digit of 1501079419? Sol: 5 What if: What is the millions digit of 86374989? Sol: 6 What if: What is the hundreds digit of 3074491? Sol: 4 What if: What is the hundred thousands digit of 5493011? Sol: 4 What if: What is the ten thousands digit of 1153825227? Sol: 2 What if: What is the ten thousands digit of 63611? Sol: 6 What if: What is the ten thousands digit of 44739? Sol: 4 What if: What is the units digit of 3092? Sol: 2 What if: What is the millions digit of 1152154481? Sol: 2 What if: What is the tens digit of 681? Sol: 8 What if: What is the thousands digit of 1698? Sol: 1 What if: What is the tens digit of 76364? Sol: 6 What if: What is the millions digit of 441655170? Sol: 1 What if: What is the hundreds digit of 449? Sol: 4 What if: What is the units digit of 405403? Sol: 3 What if: What is the units digit of 9588586? Sol: 6 What if: What is the hundreds digit of 59919? Sol: 9 What if: What is the hundreds digit of 941833766? Sol: 7 What if: What is the tens digit of 2453803? Sol: 0 What if: What is the thousands digit of 1006? Sol: 1 What if: What is the ten thousands digit of 9837454? Sol: 3 What if: What is the tens digit of 278205? Sol: 0 What if: What is the units digit of 2895? Sol: 5 What if: What is the units digit of 409373464? Sol: 4 What if: What is the units digit of 55? Sol: 5 What if: What is the tens digit of 457636156? Sol: 5 What if: What is the hundreds digit of 751092? Sol: 0 What if: What is the ten millions digit of 373615567? Sol: 7 What if: What is the hundreds digit of 1750665910
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numbers: place value -------------------- Topic: What is the hundred thousands digit of 123597? Hence: 1 Topic: What is the tens digit of 530557? Hence: 5 Topic: What is the hundred millions digit of 639059676? Hence: 6 Topic: What is the ten millions digit of 2867822919? Hence: 6 Topic: What is the hundreds digit of 13375860? Hence: 8 Topic: What is the ten thousands digit of 473443? Hence: 7 Topic: What is the hundred thousands digit of 632762? Hence: 6 Topic: What is the units digit of 46714? Hence: 4 Topic: What is the hundreds digit of 6895497245? Hence: 2 Topic: What is the hundreds digit of 40058? Hence: 0 Topic: What is the units digit of 24208? Hence: 8 Topic: What is the hundreds digit of 3748? Hence: 7 Topic: What is the hundred thousands digit of 963228195? Hence: 2 Topic: What is the ten millions digit of 23311940? Hence: 2 Topic: What is the millions digit of 6489960? Hence: 6 Topic: What is the units digit of 3525688? Hence: 8 Topic: What is the millions digit of 861239317? Hence: 1 Topic: What is the thousands digit of 16460760? Hence: 0 Topic: What is the units digit of 1334? Hence: 4 Topic: What is the millions digit of 8388760? Hence: 8 Topic: What is the ten thousands digit of 29782? Hence: 2 Topic: What is the thousands digit of 72939? Hence: 2 Topic: What is the thousands digit of 19201556? Hence: 1 Topic: What is the units digit of 14722551? Hence: 1 Topic: What is the hundreds digit of 105269? Hence: 2 Topic: What is the thousands digit of 644782? Hence: 4 Topic: What is the tens digit of 44301? Hence: 0 Topic: What is the thousands digit of 1274? Hence: 1 Topic: What is the thousands digit of 1131? Hence: 1 Topic: What is the hundreds digit of 4572842? Hence: 8 Topic: What is the ten thousands digit of 62977015? Hence: 7 Topic: What is the tens digit of 149753937? Hence: 3 Topic: What is the thousands digit of 2871214? Hence: 1 Topic: What is the millions digit of 2387513899? Hence: 7 Topic: What is the hundreds digit of 522? Hence: 5 Topic:
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measurement: conversion ----------------------- Situation: What is 9/10 of a millimeter in micrometers? = : 900 Situation: How many months are there in 1/4 of a century? = : 300 Situation: How many millilitres are there in 2563.716 litres? = : 2563716 Situation: Convert 461927.5g to kilograms. = : 461.9275 Situation: How many litres are there in 66305.45ml? = : 66.30545 Situation: What is sixty-four fifths of a gram in milligrams? = : 12800 Situation: What is 17/4 of a microgram in nanograms? = : 4250 Situation: How many microseconds are there in one twentieth of a second? = : 50000 Situation: How many minutes are there in 293964.09 milliseconds? = : 4.8994015 Situation: What is 67.24591 hours in minutes? = : 4034.7546 Situation: What is 49641.18l in millilitres? = : 49641180 Situation: What is 5/4 of a tonne in kilograms? = : 1250 Situation: How many decades are there in fifty-one halves of a century? = : 255 Situation: How many micrometers are there in 8320.154m? = : 8320154000 Situation: What is 0.3725674 millilitres in litres? = : 0.0003725674 Situation: What is 3/8 of a minute in milliseconds? = : 22500 Situation: Convert 69365.88nm to kilometers. = : 0.00000006936588 Situation: What is 885.3055 nanometers in centimeters? = : 0.00008853055 Situation: What is 1/4 of a kilometer in meters? = : 250 Situation: How many nanograms are there in 0.8378717 tonnes? = : 837871700000000 Situation: How many millilitres are there in 1/10 of a litre? = : 100 Situation: How many grams are there in 17/2 of a kilogram? = : 8500 Situation: How many micrometers are there in 1/10 of a meter? = : 100000 Situation: What is eighty-five sixths of a century in months? = : 17000 Situation: How many months are there in seventy-four fifths of a decade? = : 1776 Situation: What is 8712.405um in millimeters? = : 8.712405 Situation: What is 3/5 of a millennium in decades? = : 60 Situation: Convert 2.267024 decades to millennia. = : 0.02267024 Situation: How many seconds are there in 10/9 of a
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numbers: div remainder ---------------------- Case: What is the remainder when 169204 is divided by 1849? Answer: 945 Case: Calculate the remainder when 56 is divided by 10. Answer: 6 Case: What is the remainder when 19269 is divided by 131? Answer: 12 Case: Calculate the remainder when 75514 is divided by 116. Answer: 114 Case: What is the remainder when 64660 is divided by 64659? Answer: 1 Case: What is the remainder when 8 is divided by 3? Answer: 2 Case: Calculate the remainder when 8948 is divided by 130. Answer: 108 Case: What is the remainder when 76 is divided by 15? Answer: 1 Case: Calculate the remainder when 26577 is divided by 2359. Answer: 628 Case: Calculate the remainder when 9294 is divided by 34. Answer: 12 Case: What is the remainder when 1517 is divided by 17? Answer: 4 Case: Calculate the remainder when 7098 is divided by 190. Answer: 68 Case: What is the remainder when 68 is divided by 10? Answer: 8 Case: Calculate the remainder when 70114 is divided by 105. Answer: 79 Case: What is the remainder when 531 is divided by 34? Answer: 21 Case: Calculate the remainder when 712091 is divided by 101721. Answer: 44 Case: Calculate the remainder when 6005 is divided by 215. Answer: 200 Case: What is the remainder when 76791 is divided by 241? Answer: 153 Case: Calculate the remainder when 842 is divided by 14. Answer: 2 Case: What is the remainder when 4100149 is divided by 4952? Answer: 4845 Case: Calculate the remainder when 83354 is divided by 27470. Answer: 944 Case: Calculate the remainder when 29 is divided by 3. Answer: 2 Case: What is the remainder when 1581 is divided by 794? Answer: 787 Case: Calculate the remainder when 1004 is divided by 212. Answer: 156 Case: Calculate the remainder when 99 is divided by 63. Answer: 36 Case: Calculate the remainder when 4770183 is divided by 142. Answer: 119 Case: What is the remainder when 18454461 is divided by 14? Answer: 11 Case: What is the remainder when 244987 is divided by 10207? Answer: 19 Case: Wha
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probability: swr p level set ---------------------------- Conundrum: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from {o: 5, r: 11}. Answer: 55/112 Conundrum: Calculate prob of picking 2 p when two letters picked without replacement from pfp. Answer: 1/3 Conundrum: Four letters picked without replacement from {p: 2, o: 10}. What is prob of picking 4 o? Answer: 14/33 Conundrum: Three letters picked without replacement from {m: 6, g: 6}. What is prob of picking 2 m and 1 g? Answer: 9/22 Conundrum: What is prob of picking 2 j and 1 l when three letters picked without replacement from jjjjjjjjjjjlj? Answer: 3/13 Conundrum: Calculate prob of picking 4 p when four letters picked without replacement from {p: 7, c: 9}. Answer: 1/52 Conundrum: Two letters picked without replacement from {t: 1, f: 2, g: 2, a: 2, p: 1, d: 1}. Give prob of picking 1 t and 1 p. Answer: 1/36 Conundrum: Two letters picked without replacement from kvkkkvvkkvkkllkkqkl. Give prob of picking 1 v and 1 k. Answer: 44/171 Conundrum: Calculate prob of picking 2 n and 1 d when three letters picked without replacement from zzddzdnnddzd. Answer: 3/110 Conundrum: Three letters picked without replacement from {s: 3, e: 2, v: 8, u: 2, d: 4}. Give prob of picking 3 s. Answer: 1/969 Conundrum: Three letters picked without replacement from qcqoqhqqjoqjcoh. Give prob of picking 1 c, 1 j, and 1 q. Answer: 24/455 Conundrum: Four letters picked without replacement from {v: 1, s: 3, b: 1, h: 5, q: 5}. What is prob of picking 4 h? Answer: 1/273 Conundrum: Four letters picked without replacement from {f: 4, u: 6, m: 3, s: 3, z: 4}. Give prob of picking 1 s, 2 z, and 1 m. Answer: 18/1615 Conundrum: Two letters picked without replacement from {t: 3, j: 12}. Give prob of picking 2 t. Answer: 1/35 Conundrum: Two letters picked without replacement from {h: 4, a: 15}. What is prob of picking 2 a? Answer: 35/57 Conundrum: Three letters picked without replacement from {k: 3, n: 2, m: 2, q:
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numbers: div remainder ---------------------- Item: What is the remainder when 3809 is divided by 218? Calculation: 103 Item: What is the remainder when 827 is divided by 18? Calculation: 17 Item: Calculate the remainder when 12019424 is divided by 387. Calculation: 365 Item: What is the remainder when 5342 is divided by 634? Calculation: 270 Item: What is the remainder when 51 is divided by 5? Calculation: 1 Item: What is the remainder when 601421 is divided by 49916? Calculation: 2429 Item: Calculate the remainder when 497 is divided by 136. Calculation: 89 Item: What is the remainder when 5877541 is divided by 27594? Calculation: 19 Item: Calculate the remainder when 10843333 is divided by 27. Calculation: 25 Item: Calculate the remainder when 37 is divided by 10. Calculation: 7 Item: Calculate the remainder when 54 is divided by 47. Calculation: 7 Item: Calculate the remainder when 170958 is divided by 196. Calculation: 46 Item: What is the remainder when 1541 is divided by 68? Calculation: 45 Item: What is the remainder when 87834 is divided by 2311? Calculation: 16 Item: What is the remainder when 5931 is divided by 1450? Calculation: 131 Item: Calculate the remainder when 517 is divided by 29. Calculation: 24 Item: What is the remainder when 11294017 is divided by 6370? Calculation: 7 Item: Calculate the remainder when 11242786 is divided by 34. Calculation: 6 Item: What is the remainder when 716 is divided by 350? Calculation: 16 Item: Calculate the remainder when 11284 is divided by 305. Calculation: 304 Item: What is the remainder when 103994 is divided by 51989? Calculation: 16 Item: Calculate the remainder when 1143 is divided by 566. Calculation: 11 Item: What is the remainder when 39043 is divided by 3654? Calculation: 2503 Item: Calculate the remainder when 145 is divided by 33. Calculation: 13 Item: Calculate the remainder when 246 is divided by 64. Calculation: 54 Item: What is the remainder when 11136415 is divided by 32? Calculation: 31 Item: Calc
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measurement: conversion ----------------------- Problem: Convert 2.476495 millimeters to nanometers. Compute: 2476495 Problem: Convert 406.6038 seconds to days. Compute: 0.0047060625 Problem: Convert 42257.41ml to litres. Compute: 42.25741 Problem: What is 22881.672 months in millennia? Compute: 1.906806 Problem: How many micrograms are there in 5/4 of a milligram? Compute: 1250 Problem: How many minutes are there in two fifteenths of a week? Compute: 1344 Problem: How many years are there in 3/10 of a century? Compute: 30 Problem: How many nanograms are there in three eighths of a microgram? Compute: 375 Problem: What is fifteen quarters of a litre in millilitres? Compute: 3750 Problem: Convert 0.1605304 kilometers to millimeters. Compute: 160530.4 Problem: What is 5/8 of a gram in milligrams? Compute: 625 Problem: What is 55/6 of a decade in months? Compute: 1100 Problem: Convert 225944.8ml to litres. Compute: 225.9448 Problem: Convert 5824.39 centimeters to micrometers. Compute: 58243900 Problem: What is 11/4 of a meter in centimeters? Compute: 275 Problem: What is fourty-five eighths of a litre in millilitres? Compute: 5625 Problem: How many months are there in seventeen quarters of a year? Compute: 51 Problem: How many litres are there in 29.4785 millilitres? Compute: 0.0294785 Problem: What is 265.17936 months in centuries? Compute: 0.2209828 Problem: What is 51.15387 nanometers in millimeters? Compute: 0.00005115387 Problem: How many millimeters are there in twenty-seven fifths of a meter? Compute: 5400 Problem: How many nanograms are there in 16.00993 kilograms? Compute: 16009930000000 Problem: How many years are there in 75.58648 decades? Compute: 755.8648 Problem: How many millilitres are there in 3/8 of a litre? Compute: 375 Problem: How many minutes are there in 2884588.2 seconds? Compute: 48076.47 Problem: Convert 200966.76s to minutes. Compute: 3349.446 Problem: How many months are there in 49/6 of a millennium? Compute: 98000 Problem: What is 10/3 of
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numbers: place value -------------------- Issue: What is the tens digit of 9091? Result: 9 Issue: What is the thousands digit of 183864? Result: 3 Issue: What is the billions digit of 1505668588? Result: 1 Issue: What is the tens digit of 2945699? Result: 9 Issue: What is the hundreds digit of 1960271? Result: 2 Issue: What is the thousands digit of 2052? Result: 2 Issue: What is the millions digit of 2375762? Result: 2 Issue: What is the units digit of 1868450586? Result: 6 Issue: What is the hundreds digit of 33197? Result: 1 Issue: What is the hundred thousands digit of 132945? Result: 1 Issue: What is the units digit of 28821? Result: 1 Issue: What is the tens digit of 3394891? Result: 9 Issue: What is the tens digit of 351114816? Result: 1 Issue: What is the thousands digit of 340538? Result: 0 Issue: What is the millions digit of 4687416554? Result: 7 Issue: What is the units digit of 466? Result: 6 Issue: What is the thousands digit of 3992? Result: 3 Issue: What is the thousands digit of 1719474345? Result: 4 Issue: What is the tens digit of 1421? Result: 2 Issue: What is the thousands digit of 1194? Result: 1 Issue: What is the thousands digit of 197444? Result: 7 Issue: What is the hundreds digit of 3904562? Result: 5 Issue: What is the ten thousands digit of 19745? Result: 1 Issue: What is the units digit of 353593? Result: 3 Issue: What is the ten thousands digit of 83063? Result: 8 Issue: What is the units digit of 25294774? Result: 4 Issue: What is the tens digit of 501297262? Result: 6 Issue: What is the ten thousands digit of 179366? Result: 7 Issue: What is the tens digit of 2266344? Result: 4 Issue: What is the millions digit of 434312832? Result: 4 Issue: What is the hundreds digit of 45076? Result: 0 Issue: What is the hundreds digit of 998? Result: 9 Issue: What is the hundreds digit of 1318? Result: 3 Issue: What is the tens digit of 151? Result: 5 Issue: What is the hundred millions digit of 795542927? Result: 7 Issue: What is the tens digit o
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arithmetic: nearest integer root -------------------------------- What if: What is 4910 to the power of 1/6, to the nearest integer? Result: 4 What if: What is 646062898 to the power of 1/3, to the nearest integer? Result: 864 What if: What is the seventh root of 2044 to the nearest integer? Result: 3 What if: What is the square root of 24501953 to the nearest integer? Result: 4950 What if: What is the third root of 3484712 to the nearest integer? Result: 152 What if: What is 714910 to the power of 1/6, to the nearest integer? Result: 9 What if: What is 1216577951 to the power of 1/2, to the nearest integer? Result: 34879 What if: What is 683709 to the power of 1/4, to the nearest integer? Result: 29 What if: What is the third root of 15239568 to the nearest integer? Result: 248 What if: What is the cube root of 254856511 to the nearest integer? Result: 634 What if: What is 952 to the power of 1/4, to the nearest integer? Result: 6 What if: What is 660283932 to the power of 1/10, to the nearest integer? Result: 8 What if: What is the cube root of 2098889781 to the nearest integer? Result: 1280 What if: What is the fourth root of 1741 to the nearest integer? Result: 6 What if: What is the third root of 130998 to the nearest integer? Result: 51 What if: What is 1267 to the power of 1/7, to the nearest integer? Result: 3 What if: What is 1160334181 to the power of 1/3, to the nearest integer? Result: 1051 What if: What is 856 to the power of 1/2, to the nearest integer? Result: 29 What if: What is the square root of 464114103 to the nearest integer? Result: 21543 What if: What is 4527431958 to the power of 1/3, to the nearest integer? Result: 1654 What if: What is 20446472 to the power of 1/8, to the nearest integer? Result: 8 What if: What is the third root of 812573 to the nearest integer? Result: 93 What if: What is 928 to the power of 1/6, to the nearest integer? Result: 3 What if: What is 18934619 to the power of 1/3, to the nearest integer? Result: 267 What if: W
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measurement: conversion ----------------------- Task: How many minutes are there in 16/9 of a day? Sol: 2560 Task: How many years are there in seven halves of a decade? Sol: 35 Task: Convert 83.60343 litres to millilitres. Sol: 83603.43 Task: What is nine sixteenths of a centimeter in micrometers? Sol: 5625 Task: How many kilograms are there in 37235.54 nanograms? Sol: 0.00000003723554 Task: What is seven halves of a litre in millilitres? Sol: 3500 Task: Convert 75901.94 millilitres to litres. Sol: 75.90194 Task: Convert 3.89019l to millilitres. Sol: 3890.19 Task: How many millilitres are there in 6/25 of a litre? Sol: 240 Task: How many meters are there in nineteen quarters of a kilometer? Sol: 4750 Task: How many litres are there in 0.0920869ml? Sol: 0.0000920869 Task: How many millilitres are there in eleven eighths of a litre? Sol: 1375 Task: What is 3/40 of a millimeter in micrometers? Sol: 75 Task: What is 4.659137nm in kilometers? Sol: 0.000000000004659137 Task: How many milliseconds are there in 6/25 of a minute? Sol: 14400 Task: How many centimeters are there in 21/4 of a meter? Sol: 525 Task: What is 11/2 of a gram in milligrams? Sol: 5500 Task: How many litres are there in 0.34382ml? Sol: 0.00034382 Task: How many millimeters are there in fifty-three fifths of a meter? Sol: 10600 Task: What is 3/5 of a meter in millimeters? Sol: 600 Task: How many micrograms are there in 3/50 of a gram? Sol: 60000 Task: How many nanometers are there in 3/50 of a micrometer? Sol: 60 Task: What is 5850.226ml in litres? Sol: 5.850226 Task: How many centimeters are there in twenty-six fifths of a meter? Sol: 520 Task: What is 233323.8l in millilitres? Sol: 233323800 Task: What is 3/5 of a centimeter in millimeters? Sol: 6 Task: How many kilometers are there in 0.5688281um? Sol: 0.0000000005688281 Task: What is 6.2552 tonnes in milligrams? Sol: 6255200000 Task: Convert 3.5186 milligrams to grams. Sol: 0.0035186 Task: What is one tenth of a meter in centimeters? Sol: 10 Task: H
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numbers: place value -------------------- Topic: What is the units digit of 11180? Thus: 0 Topic: What is the tens digit of 5537? Thus: 3 Topic: What is the thousands digit of 195532? Thus: 5 Topic: What is the hundred thousands digit of 17222486? Thus: 2 Topic: What is the units digit of 1706? Thus: 6 Topic: What is the hundreds digit of 510278? Thus: 2 Topic: What is the hundred thousands digit of 25500131? Thus: 5 Topic: What is the hundred thousands digit of 97629969? Thus: 6 Topic: What is the billions digit of 1249572524? Thus: 1 Topic: What is the hundreds digit of 156870044? Thus: 0 Topic: What is the thousands digit of 32169687? Thus: 9 Topic: What is the units digit of 21598416? Thus: 6 Topic: What is the hundreds digit of 598774? Thus: 7 Topic: What is the ten millions digit of 2564140445? Thus: 6 Topic: What is the hundreds digit of 769216? Thus: 2 Topic: What is the hundred thousands digit of 360050903? Thus: 0 Topic: What is the units digit of 816246714? Thus: 4 Topic: What is the thousands digit of 228799135? Thus: 9 Topic: What is the hundreds digit of 327826396? Thus: 3 Topic: What is the units digit of 1752? Thus: 2 Topic: What is the tens digit of 390285229? Thus: 2 Topic: What is the ten thousands digit of 3027596001? Thus: 9 Topic: What is the units digit of 16389? Thus: 9 Topic: What is the thousands digit of 10107? Thus: 0 Topic: What is the ten thousands digit of 1521969? Thus: 2 Topic: What is the thousands digit of 1092636? Thus: 2 Topic: What is the thousands digit of 1273809? Thus: 3 Topic: What is the units digit of 158027278? Thus: 8 Topic: What is the thousands digit of 19595? Thus: 9 Topic: What is the ten thousands digit of 1053504? Thus: 5 Topic: What is the ten thousands digit of 189489? Thus: 8 Topic: What is the tens digit of 3992? Thus: 9 Topic: What is the hundreds digit of 7089270? Thus: 2 Topic: What is the tens digit of 1281? Thus: 8 Topic: What is the hundreds digit of 408867? Thus: 8 Topic: What is the thousands digit of 1
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numbers: is factor ------------------ Problem Statement: Is 4261 a multiple of 14? Result: False Problem Statement: Is 39 a factor of 75101364? Result: True Problem Statement: Does 6 divide 212? Result: False Problem Statement: Is 1216569965 a multiple of 56? Result: False Problem Statement: Is 1518 a factor of 18974777? Result: False Problem Statement: Does 6 divide 93042? Result: True Problem Statement: Is 95 a factor of 57829635? Result: True Problem Statement: Is 3019446 a multiple of 9? Result: True Problem Statement: Does 72 divide 1290? Result: False Problem Statement: Is 248 a factor of 292888? Result: True Problem Statement: Does 1221 divide 170760513? Result: True Problem Statement: Is 12376428 a multiple of 184? Result: False Problem Statement: Is 1953683605 a multiple of 11? Result: False Problem Statement: Is 386 a factor of 16449776? Result: True Problem Statement: Is 442882 a multiple of 3? Result: False Problem Statement: Is 104 a multiple of 13? Result: True Problem Statement: Is 272183840 a multiple of 3404? Result: True Problem Statement: Does 379 divide 32576566? Result: True Problem Statement: Is 433429361 a multiple of 14755? Result: False Problem Statement: Is 221 a factor of 16575? Result: True Problem Statement: Does 17 divide 24633? Result: True Problem Statement: Is 799977068 a multiple of 316? Result: True Problem Statement: Is 9 a factor of 153? Result: True Problem Statement: Is 2211 a factor of 46508385? Result: True Problem Statement: Is 1753326 a multiple of 21? Result: False Problem Statement: Is 25116 a multiple of 28? Result: True Problem Statement: Does 73 divide 12410? Result: True Problem Statement: Is 966 a factor of 58194738? Result: True Problem Statement: Is 19 a factor of 21420? Result: False Problem Statement: Is 4 a factor of 79? Result: False Problem Statement: Is 43 a factor of 15823011? Result: True Problem Statement: Is 41160 a multiple of 14? Result: True Problem Statement: Does 1131 divide 16987620? Result: True Pr
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probability: swr p level set ---------------------------- Issue: Four letters picked without replacement from xiivyivyxvyyvyv. Give prob of picking 1 x and 3 v. Response: 4/273 Issue: Three letters picked without replacement from {d: 2, n: 4, z: 2, o: 2}. Give prob of picking 1 o and 2 n. Response: 1/10 Issue: What is prob of picking 2 r when two letters picked without replacement from {m: 1, r: 2}? Response: 1/3 Issue: Two letters picked without replacement from myymmlyymyyml. Give prob of picking 1 y and 1 m. Response: 5/13 Issue: Calculate prob of picking 1 e, 1 t, and 1 u when three letters picked without replacement from utetxxtxxuxexvt. Response: 16/455 Issue: Calculate prob of picking 1 o, 1 i, and 1 j when three letters picked without replacement from jjabobjobaiajjbbb. Response: 1/68 Issue: Calculate prob of picking 2 i and 1 g when three letters picked without replacement from {x: 1, n: 1, g: 1, i: 1, h: 1, b: 2}. Response: 0 Issue: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from {t: 2, f: 3}. Response: 3/5 Issue: What is prob of picking 1 f and 3 l when four letters picked without replacement from lnajflllzfnzllf? Response: 4/91 Issue: Three letters picked without replacement from {a: 15, n: 5}. What is prob of picking 1 a and 2 n? Response: 5/38 Issue: Two letters picked without replacement from {t: 1, m: 3, n: 2, o: 3, r: 4, v: 2}. What is prob of picking 1 v and 1 o? Response: 2/35 Issue: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from atefaarrfzfrfr. Response: 1/91 Issue: Calculate prob of picking 2 m when two letters picked without replacement from xmxxxmxxxxxxxxxxo. Response: 1/136 Issue: Calculate prob of picking 2 g when two letters picked without replacement from {p: 1, g: 2}. Response: 1/3 Issue: Four letters picked without replacement from yyyyyyyyykyykyykky. Give prob of picking 4 y. Response: 1001/3060 Issue: Two letters picked without replacement from {b: 3, p: 4,
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numbers: is prime ----------------- Question: Is 17807 a composite number? Therefore: False Question: Is 439441 a composite number? Therefore: False Question: Is 29923896161 prime? Therefore: True Question: Is 8633 a composite number? Therefore: True Question: Is 4613179457 prime? Therefore: True Question: Is 1506985013 prime? Therefore: False Question: Is 61104705329 a composite number? Therefore: True Question: Is 157803641 a prime number? Therefore: False Question: Is 956723 a prime number? Therefore: True Question: Is 5923 prime? Therefore: True Question: Is 4693421 a prime number? Therefore: True Question: Is 1948731311 composite? Therefore: False Question: Is 2683306387 prime? Therefore: True Question: Is 10314257 prime? Therefore: False Question: Is 21673741 composite? Therefore: False Question: Is 30191377 prime? Therefore: True Question: Is 2315317 a prime number? Therefore: True Question: Is 1664353 composite? Therefore: False Question: Is 140232727 composite? Therefore: False Question: Is 7887769 composite? Therefore: True Question: Is 56189651 prime? Therefore: False Question: Is 109405771 a composite number? Therefore: True Question: Is 388853771 a prime number? Therefore: True Question: Is 527 prime? Therefore: False Question: Is 1361 prime? Therefore: True Question: Is 22116989 a composite number? Therefore: False Question: Is 40667 composite? Therefore: True Question: Is 5923 prime? Therefore: True Question: Is 338925043 a prime number? Therefore: False Question: Is 2256299 composite? Therefore: False Question: Is 106823 a composite number? Therefore: False Question: Is 3042059 composite? Therefore: False Question: Is 212018293 composite? Therefore: True Question: Is 2258101 composite? Therefore: True Question: Is 81568589 a composite number? Therefore: True Question: Is 14521 a prime number? Therefore: False Question: Is 1533071 composite? Therefore: True Question: Is 515395009 a prime number? Therefore: True Question: Is 128549 a prime number? Ther
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numbers: is prime ----------------- Case: Is 941569 composite? Calculation: True Case: Is 28195879 composite? Calculation: False Case: Is 1339851074 composite? Calculation: True Case: Is 21307035433 composite? Calculation: True Case: Is 18552803 prime? Calculation: True Case: Is 5817107 prime? Calculation: True Case: Is 609168641 a prime number? Calculation: False Case: Is 46500793 a composite number? Calculation: False Case: Is 13664069 prime? Calculation: True Case: Is 34631 a prime number? Calculation: True Case: Is 64289387 prime? Calculation: False Case: Is 58711 prime? Calculation: True Case: Is 1296768149 prime? Calculation: False Case: Is 6799 composite? Calculation: True Case: Is 71507039 prime? Calculation: True Case: Is 29269 a prime number? Calculation: True Case: Is 258991 a prime number? Calculation: True Case: Is 832541 prime? Calculation: False Case: Is 679 prime? Calculation: False Case: Is 431539 composite? Calculation: True Case: Is 50659445207 a composite number? Calculation: True Case: Is 23981 composite? Calculation: False Case: Is 130998987605 composite? Calculation: True Case: Is 16102571 composite? Calculation: False Case: Is 787007 composite? Calculation: True Case: Is 1109257 prime? Calculation: True Case: Is 147161 prime? Calculation: False Case: Is 7344287 a prime number? Calculation: True Case: Is 49646122619 a composite number? Calculation: True Case: Is 168806383 prime? Calculation: False Case: Is 677665 a composite number? Calculation: True Case: Is 298742 composite? Calculation: True Case: Is 487663377757 a composite number? Calculation: True Case: Is 2372226965 composite? Calculation: True Case: Is 4876544437 a composite number? Calculation: False Case: Is 56197 composite? Calculation: False Case: Is 104287 composite? Calculation: False Case: Is 144038 composite? Calculation: True Case: Is 4192918091 a prime number? Calculation: True Case: Is 448200817 a prime number? Calculation: True Case: Is 5892411359 composite? Calculation: Fa
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numbers: gcd ------------ Math Problem: What is the highest common factor of 3 and 201? A.: 3 Math Problem: What is the highest common factor of 1326 and 30294? A.: 102 Math Problem: What is the greatest common factor of 370 and 17760? A.: 370 Math Problem: Calculate the highest common factor of 12 and 87459216. A.: 12 Math Problem: Calculate the highest common factor of 13719 and 299829. A.: 51 Math Problem: Calculate the highest common divisor of 582 and 552415. A.: 97 Math Problem: What is the greatest common divisor of 44 and 11? A.: 11 Math Problem: Calculate the greatest common divisor of 322 and 483. A.: 161 Math Problem: What is the highest common factor of 14 and 328? A.: 2 Math Problem: What is the greatest common factor of 1547 and 17901? A.: 221 Math Problem: Calculate the highest common factor of 8 and 7272. A.: 8 Math Problem: Calculate the greatest common factor of 762932 and 290. A.: 58 Math Problem: What is the greatest common factor of 18921855 and 163? A.: 163 Math Problem: What is the highest common divisor of 613938 and 4602? A.: 78 Math Problem: Calculate the highest common divisor of 540780 and 14580. A.: 60 Math Problem: What is the highest common divisor of 145 and 464? A.: 29 Math Problem: What is the greatest common divisor of 4928 and 653653? A.: 77 Math Problem: Calculate the highest common factor of 22561607 and 57. A.: 19 Math Problem: What is the highest common divisor of 2 and 268388882? A.: 2 Math Problem: What is the highest common divisor of 4 and 9636? A.: 4 Math Problem: What is the highest common factor of 3252 and 3948? A.: 12 Math Problem: Calculate the highest common divisor of 63 and 15435. A.: 63 Math Problem: Calculate the greatest common factor of 120 and 6360. A.: 120 Math Problem: Calculate the highest common divisor of 8181 and 81. A.: 81 Math Problem: Calculate the greatest common divisor of 1288 and 72. A.: 8 Math Problem: What is the greatest common factor of 3645768 and 21? A.: 21 Math Problem: What is the greates
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measurement: time ----------------- Q=: How many minutes are there between 11:42 PM and 11:04 AM? Therefore: 682 Q=: What is 67 minutes before 12:17 PM? Therefore: 11:10 AM Q=: How many minutes are there between 7:14 AM and 7:26 AM? Therefore: 12 Q=: What is 207 minutes before 9:50 PM? Therefore: 6:23 PM Q=: How many minutes are there between 12:11 PM and 4:17 PM? Therefore: 246 Q=: How many minutes are there between 10:55 AM and 10:23 PM? Therefore: 688 Q=: What is 156 minutes before 2:50 PM? Therefore: 12:14 PM Q=: How many minutes are there between 9:50 PM and 12:05 AM? Therefore: 135 Q=: What is 692 minutes after 3:27 PM? Therefore: 2:59 AM Q=: What is 596 minutes after 10:53 AM? Therefore: 8:49 PM Q=: What is 530 minutes after 7:30 AM? Therefore: 4:20 PM Q=: What is 342 minutes before 12:40 PM? Therefore: 6:58 AM Q=: What is 583 minutes after 1:16 AM? Therefore: 10:59 AM Q=: How many minutes are there between 3:57 PM and 3:29 AM? Therefore: 692 Q=: How many minutes are there between 12:59 PM and 7:06 PM? Therefore: 367 Q=: What is 459 minutes before 1:14 PM? Therefore: 5:35 AM Q=: How many minutes are there between 7:17 AM and 11:43 AM? Therefore: 266 Q=: How many minutes are there between 6:38 AM and 2:14 PM? Therefore: 456 Q=: How many minutes are there between 6:08 PM and 8:05 PM? Therefore: 117 Q=: What is 249 minutes before 12:37 AM? Therefore: 8:28 PM Q=: What is 416 minutes after 9:40 PM? Therefore: 4:36 AM Q=: How many minutes are there between 10:10 PM and 1:01 AM? Therefore: 171 Q=: What is 418 minutes before 11:56 AM? Therefore: 4:58 AM Q=: What is 503 minutes after 6:00 PM? Therefore: 2:23 AM Q=: How many minutes are there between 7:14 AM and 3:19 PM? Therefore: 485 Q=: How many minutes are there between 9:53 AM and 4:21 PM? Therefore: 388 Q=: What is 12 minutes before 4:14 AM? Therefore: 4:02 AM Q=: What is 549 minutes after 6:21 AM? Therefore: 3:30 PM Q=: What is 576 minutes before 11:24 PM? Therefore: 1:48 PM Q=: What is 688 minutes before 4:58 A
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measurement: time ----------------- Task: What is 398 minutes after 3:32 PM? Eval: 10:10 PM Task: How many minutes are there between 8:41 AM and 1:06 PM? Eval: 265 Task: What is 607 minutes before 7:13 AM? Eval: 9:06 PM Task: How many minutes are there between 10:21 AM and 7:33 PM? Eval: 552 Task: What is 244 minutes before 9:47 AM? Eval: 5:43 AM Task: What is 546 minutes after 5:00 PM? Eval: 2:06 AM Task: What is 623 minutes after 5:31 PM? Eval: 3:54 AM Task: What is 240 minutes after 3:48 PM? Eval: 7:48 PM Task: What is 444 minutes before 12:47 AM? Eval: 5:23 PM Task: What is 399 minutes before 5:19 AM? Eval: 10:40 PM Task: How many minutes are there between 5:23 PM and 8:03 PM? Eval: 160 Task: What is 148 minutes before 9:49 PM? Eval: 7:21 PM Task: What is 345 minutes before 4:57 PM? Eval: 11:12 AM Task: How many minutes are there between 11:59 PM and 2:44 AM? Eval: 165 Task: How many minutes are there between 11:59 AM and 11:11 PM? Eval: 672 Task: How many minutes are there between 9:42 PM and 5:28 AM? Eval: 466 Task: What is 204 minutes before 10:03 PM? Eval: 6:39 PM Task: What is 142 minutes after 3:05 PM? Eval: 5:27 PM Task: How many minutes are there between 6:53 PM and 1:37 AM? Eval: 404 Task: What is 573 minutes before 3:28 AM? Eval: 5:55 PM Task: What is 665 minutes after 12:56 AM? Eval: 12:01 PM Task: What is 703 minutes before 10:13 AM? Eval: 10:30 PM Task: What is 359 minutes after 6:08 PM? Eval: 12:07 AM Task: What is 304 minutes before 11:40 PM? Eval: 6:36 PM Task: How many minutes are there between 12:22 PM and 7:18 PM? Eval: 416 Task: What is 82 minutes after 11:09 PM? Eval: 12:31 AM Task: What is 702 minutes after 7:41 PM? Eval: 7:23 AM Task: What is 707 minutes after 9:53 AM? Eval: 9:40 PM Task: How many minutes are there between 11:35 PM and 12:51 AM? Eval: 76 Task: How many minutes are there between 7:50 PM and 6:02 AM? Eval: 612 Task: What is 429 minutes before 2:39 AM? Eval: 7:30 PM Task: How many minutes are there between 11:42 AM and 5:06 P
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numbers: place value -------------------- Subquestion: What is the ten thousands digit of 744508? Conclusion: 4 Subquestion: What is the units digit of 23538? Conclusion: 8 Subquestion: What is the thousands digit of 1320? Conclusion: 1 Subquestion: What is the tens digit of 122663? Conclusion: 6 Subquestion: What is the units digit of 94409? Conclusion: 9 Subquestion: What is the thousands digit of 905447? Conclusion: 5 Subquestion: What is the thousands digit of 189691898? Conclusion: 1 Subquestion: What is the tens digit of 34676? Conclusion: 7 Subquestion: What is the hundreds digit of 7221407? Conclusion: 4 Subquestion: What is the ten thousands digit of 81832? Conclusion: 8 Subquestion: What is the hundreds digit of 372? Conclusion: 3 Subquestion: What is the units digit of 4247? Conclusion: 7 Subquestion: What is the ten millions digit of 131612923? Conclusion: 3 Subquestion: What is the thousands digit of 6771? Conclusion: 6 Subquestion: What is the units digit of 16761308? Conclusion: 8 Subquestion: What is the units digit of 65342? Conclusion: 2 Subquestion: What is the units digit of 16660? Conclusion: 0 Subquestion: What is the units digit of 4875? Conclusion: 5 Subquestion: What is the hundred thousands digit of 263491? Conclusion: 2 Subquestion: What is the tens digit of 106? Conclusion: 0 Subquestion: What is the millions digit of 3617739? Conclusion: 3 Subquestion: What is the ten thousands digit of 193597? Conclusion: 9 Subquestion: What is the thousands digit of 4536? Conclusion: 4 Subquestion: What is the units digit of 146? Conclusion: 6 Subquestion: What is the tens digit of 13027897? Conclusion: 9 Subquestion: What is the thousands digit of 4403? Conclusion: 4 Subquestion: What is the hundreds digit of 77050257? Conclusion: 2 Subquestion: What is the hundred thousands digit of 611253177? Conclusion: 2 Subquestion: What is the units digit of 129485? Conclusion: 5 Subquestion: What is the hundreds digit of 34242786? Conclusion: 7 Subquestion: Wha
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numbers: is prime ----------------- Puzzle: Is 3006546053 a composite number? Soln: True Puzzle: Is 16857587 prime? Soln: True Puzzle: Is 110581 prime? Soln: True Puzzle: Is 4447186949 a prime number? Soln: False Puzzle: Is 1459 prime? Soln: True Puzzle: Is 563253 a prime number? Soln: False Puzzle: Is 4937051 composite? Soln: True Puzzle: Is 636192421 a composite number? Soln: True Puzzle: Is 860744813 a prime number? Soln: True Puzzle: Is 3307201 a prime number? Soln: True Puzzle: Is 6521 a prime number? Soln: True Puzzle: Is 5381 composite? Soln: False Puzzle: Is 1507183 composite? Soln: False Puzzle: Is 129543031 a prime number? Soln: False Puzzle: Is 6184046969 composite? Soln: False Puzzle: Is 12172807 composite? Soln: False Puzzle: Is 7151 prime? Soln: True Puzzle: Is 6075192731 a prime number? Soln: True Puzzle: Is 28783 a prime number? Soln: False Puzzle: Is 43567431095 a prime number? Soln: False Puzzle: Is 154515637 prime? Soln: True Puzzle: Is 31933 prime? Soln: False Puzzle: Is 1036147 composite? Soln: True Puzzle: Is 17093 a composite number? Soln: False Puzzle: Is 93907 composite? Soln: True Puzzle: Is 2045137 composite? Soln: True Puzzle: Is 88211 a prime number? Soln: True Puzzle: Is 80309 a composite number? Soln: False Puzzle: Is 379 a prime number? Soln: True Puzzle: Is 725642713 a composite number? Soln: False Puzzle: Is 6589883 a prime number? Soln: True Puzzle: Is 31192583 prime? Soln: True Puzzle: Is 2906899 a composite number? Soln: True Puzzle: Is 17002 a composite number? Soln: True Puzzle: Is 49959966041 a prime number? Soln: False Puzzle: Is 210878341 a prime number? Soln: True Puzzle: Is 19203667 a composite number? Soln: True Puzzle: Is 28559 composite? Soln: False Puzzle: Is 124087 composite? Soln: False Puzzle: Is 221339681 prime? Soln: True Puzzle: Is 18043505 prime? Soln: False Puzzle: Is 25591 composite? Soln: True Puzzle: Is 1687319 prime? Soln: True Puzzle: Is 312413 a composite number? Soln: False Puzzle: Is 22825673061 composi
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numbers: is prime ----------------- Situation: Is 46399 a composite number? Solution: False Situation: Is 551820053 a prime number? Solution: True Situation: Is 85843423 a prime number? Solution: True Situation: Is 6524232229 prime? Solution: False Situation: Is 20876161 a prime number? Solution: False Situation: Is 34195374101 a composite number? Solution: True Situation: Is 8276421467 a composite number? Solution: True Situation: Is 35671700387 composite? Solution: False Situation: Is 1024945931 prime? Solution: True Situation: Is 558766097 composite? Solution: False Situation: Is 2809237 prime? Solution: False Situation: Is 1651 composite? Solution: True Situation: Is 17657 composite? Solution: False Situation: Is 793843409 a prime number? Solution: True Situation: Is 78769 composite? Solution: True Situation: Is 909151 composite? Solution: False Situation: Is 11084883637 a composite number? Solution: True Situation: Is 39979441 prime? Solution: False Situation: Is 88582651531 composite? Solution: True Situation: Is 249967 a composite number? Solution: False Situation: Is 20593 a composite number? Solution: False Situation: Is 1022987 a composite number? Solution: True Situation: Is 99690373 prime? Solution: False Situation: Is 3664799 composite? Solution: False Situation: Is 4567 prime? Solution: True Situation: Is 8566253611 a composite number? Solution: True Situation: Is 2592059419 a composite number? Solution: False Situation: Is 93359 composite? Solution: True Situation: Is 314170121 a prime number? Solution: True Situation: Is 771542741 prime? Solution: False Situation: Is 294461 a prime number? Solution: True Situation: Is 51931 a prime number? Solution: False Situation: Is 12353 a prime number? Solution: False Situation: Is 629079193 composite? Solution: False Situation: Is 652656461 composite? Solution: False Situation: Is 22114 a composite number? Solution: True Situation: Is 438661 a prime number? Solution: True Situation: Is 6935849 composite? Soluti
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arithmetic: nearest integer root -------------------------------- Task: What is the fourth root of 4029310628 to the nearest integer? Solution: 252 Task: What is 2084993 to the power of 1/6, to the nearest integer? Solution: 11 Task: What is 43969100 to the power of 1/6, to the nearest integer? Solution: 19 Task: What is the ninth root of 1272383 to the nearest integer? Solution: 5 Task: What is the square root of 1805446075 to the nearest integer? Solution: 42491 Task: What is the third root of 3927541822 to the nearest integer? Solution: 1578 Task: What is 1774 to the power of 1/3, to the nearest integer? Solution: 12 Task: What is 2311 to the power of 1/2, to the nearest integer? Solution: 48 Task: What is 477989559 to the power of 1/2, to the nearest integer? Solution: 21863 Task: What is the eighth root of 46695 to the nearest integer? Solution: 4 Task: What is 914 to the power of 1/5, to the nearest integer? Solution: 4 Task: What is 480 to the power of 1/2, to the nearest integer? Solution: 22 Task: What is the sixth root of 209919814 to the nearest integer? Solution: 24 Task: What is the square root of 127403681 to the nearest integer? Solution: 11287 Task: What is the third root of 29549 to the nearest integer? Solution: 31 Task: What is the third root of 1428 to the nearest integer? Solution: 11 Task: What is 58324201 to the power of 1/9, to the nearest integer? Solution: 7 Task: What is 110317702 to the power of 1/3, to the nearest integer? Solution: 480 Task: What is 1501961 to the power of 1/3, to the nearest integer? Solution: 115 Task: What is 78564743 to the power of 1/5, to the nearest integer? Solution: 38 Task: What is 97184 to the power of 1/2, to the nearest integer? Solution: 312 Task: What is 14279 to the power of 1/3, to the nearest integer? Solution: 24 Task: What is 1022970 to the power of 1/3, to the nearest integer? Solution: 101 Task: What is 359469851 to the power of 1/2, to the nearest integer? Solution: 18960 Task: What is 83388 to th
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numbers: place value -------------------- Exercise: What is the ten thousands digit of 78631? Fix: 7 Exercise: What is the units digit of 112989? Fix: 9 Exercise: What is the hundreds digit of 9847194? Fix: 1 Exercise: What is the hundred thousands digit of 881751683? Fix: 7 Exercise: What is the units digit of 16492? Fix: 2 Exercise: What is the thousands digit of 1870645? Fix: 0 Exercise: What is the hundred thousands digit of 441571? Fix: 4 Exercise: What is the millions digit of 6670724? Fix: 6 Exercise: What is the ten thousands digit of 7932649? Fix: 3 Exercise: What is the tens digit of 212769367? Fix: 6 Exercise: What is the hundred thousands digit of 3532396? Fix: 5 Exercise: What is the thousands digit of 84787051? Fix: 7 Exercise: What is the hundreds digit of 168160? Fix: 1 Exercise: What is the units digit of 464? Fix: 4 Exercise: What is the tens digit of 384? Fix: 8 Exercise: What is the thousands digit of 1237635? Fix: 7 Exercise: What is the thousands digit of 4942301? Fix: 2 Exercise: What is the ten thousands digit of 171858952? Fix: 5 Exercise: What is the ten thousands digit of 121321263? Fix: 2 Exercise: What is the hundreds digit of 668? Fix: 6 Exercise: What is the units digit of 11239528? Fix: 8 Exercise: What is the tens digit of 7722? Fix: 2 Exercise: What is the ten thousands digit of 61870? Fix: 6 Exercise: What is the units digit of 13922? Fix: 2 Exercise: What is the units digit of 141? Fix: 1 Exercise: What is the tens digit of 1145? Fix: 4 Exercise: What is the hundred thousands digit of 367145? Fix: 3 Exercise: What is the units digit of 798? Fix: 8 Exercise: What is the hundreds digit of 23386? Fix: 3 Exercise: What is the ten thousands digit of 1943958? Fix: 4 Exercise: What is the units digit of 95092525? Fix: 5 Exercise: What is the hundreds digit of 914? Fix: 9 Exercise: What is the thousands digit of 1557? Fix: 1 Exercise: What is the hundreds digit of 2290592? Fix: 5 Exercise: What is the units digit of 555? Fix: 5 Exercise:
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numbers: is prime ----------------- Question: Is 181573 a composite number? Soln: True Question: Is 147029 a composite number? Soln: False Question: Is 75751 a prime number? Soln: False Question: Is 4472101 composite? Soln: False Question: Is 53258343 a composite number? Soln: True Question: Is 10201174 composite? Soln: True Question: Is 1148681 composite? Soln: False Question: Is 20469373 composite? Soln: True Question: Is 56519 prime? Soln: True Question: Is 96645359 prime? Soln: True Question: Is 39465997 a composite number? Soln: False Question: Is 1168121 a composite number? Soln: True Question: Is 131519 prime? Soln: True Question: Is 115447 a composite number? Soln: True Question: Is 1617809 a composite number? Soln: False Question: Is 1050589 composite? Soln: True Question: Is 3857069 prime? Soln: False Question: Is 119099 a prime number? Soln: True Question: Is 1192655221 composite? Soln: True Question: Is 151981969 prime? Soln: False Question: Is 46327 prime? Soln: True Question: Is 21031 a composite number? Soln: False Question: Is 2459617 composite? Soln: False Question: Is 82890496111 a prime number? Soln: False Question: Is 51749004603 composite? Soln: True Question: Is 998915 prime? Soln: False Question: Is 12726362399 a prime number? Soln: False Question: Is 2263429001 composite? Soln: False Question: Is 15545 a composite number? Soln: True Question: Is 8258 composite? Soln: True Question: Is 234253 prime? Soln: False Question: Is 37670953 a composite number? Soln: False Question: Is 2579 a prime number? Soln: True Question: Is 1352641 prime? Soln: True Question: Is 129743 a composite number? Soln: True Question: Is 15883 a composite number? Soln: True Question: Is 3954399431 composite? Soln: True Question: Is 7056707 a composite number? Soln: True Question: Is 2769313 prime? Soln: True Question: Is 40111 a composite number? Soln: False Question: Is 20262293 composite? Soln: False Question: Is 126067 a prime number? Soln: True Question: Is 1580309 a
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numbers: div remainder ---------------------- Issue: Calculate the remainder when 4805 is divided by 27. Ans: 26 Issue: Calculate the remainder when 1573 is divided by 510. Ans: 43 Issue: What is the remainder when 35875924 is divided by 50? Ans: 24 Issue: Calculate the remainder when 211587 is divided by 10145. Ans: 8687 Issue: Calculate the remainder when 8907 is divided by 11. Ans: 8 Issue: What is the remainder when 61381525 is divided by 6138151? Ans: 15 Issue: What is the remainder when 5352579 is divided by 1185? Ans: 1119 Issue: Calculate the remainder when 34141702 is divided by 1812. Ans: 1810 Issue: Calculate the remainder when 116216 is divided by 734. Ans: 244 Issue: What is the remainder when 247 is divided by 83? Ans: 81 Issue: Calculate the remainder when 5845 is divided by 972. Ans: 13 Issue: Calculate the remainder when 431 is divided by 142. Ans: 5 Issue: What is the remainder when 267757 is divided by 66785? Ans: 617 Issue: What is the remainder when 6 is divided by 2? Ans: 0 Issue: Calculate the remainder when 2433179 is divided by 1722. Ans: 1715 Issue: Calculate the remainder when 21593227 is divided by 1789. Ans: 1786 Issue: What is the remainder when 16589 is divided by 122? Ans: 119 Issue: Calculate the remainder when 1047 is divided by 35. Ans: 32 Issue: What is the remainder when 595 is divided by 540? Ans: 55 Issue: What is the remainder when 366 is divided by 116? Ans: 18 Issue: Calculate the remainder when 4136 is divided by 180. Ans: 176 Issue: What is the remainder when 120489 is divided by 139? Ans: 115 Issue: Calculate the remainder when 306 is divided by 12. Ans: 6 Issue: What is the remainder when 19664 is divided by 819? Ans: 8 Issue: Calculate the remainder when 6018 is divided by 231. Ans: 12 Issue: Calculate the remainder when 134 is divided by 44. Ans: 2 Issue: What is the remainder when 579 is divided by 20? Ans: 19 Issue: Calculate the remainder when 56 is divided by 23. Ans: 10 Issue: Calculate the remainder when 8080 is
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numbers: is factor ------------------ Prompt: Is 891380 a multiple of 35? Derivation: True Prompt: Does 5356 divide 530806380? Derivation: True Prompt: Does 20 divide 180? Derivation: True Prompt: Is 131877875 a multiple of 6? Derivation: False Prompt: Does 58 divide 32113? Derivation: False Prompt: Is 27 a factor of 5897? Derivation: False Prompt: Does 755 divide 66041713? Derivation: False Prompt: Is 7 a factor of 149107? Derivation: True Prompt: Is 223 a factor of 319336? Derivation: True Prompt: Is 45 a factor of 3014505? Derivation: True Prompt: Is 270 a multiple of 54? Derivation: True Prompt: Does 3 divide 3122? Derivation: False Prompt: Is 8288 a multiple of 74? Derivation: True Prompt: Does 40 divide 3392208? Derivation: False Prompt: Does 20 divide 130500? Derivation: True Prompt: Does 4 divide 316? Derivation: True Prompt: Is 60 a factor of 264? Derivation: False Prompt: Is 317 a factor of 1084382? Derivation: False Prompt: Does 10 divide 313072570? Derivation: True Prompt: Is 116 a factor of 2602460? Derivation: True Prompt: Is 88 a factor of 19098? Derivation: False Prompt: Is 12495 a multiple of 85? Derivation: True Prompt: Does 68 divide 32436? Derivation: True Prompt: Does 156 divide 119128776? Derivation: True Prompt: Is 24 a factor of 1152? Derivation: True Prompt: Does 74 divide 343098780? Derivation: True Prompt: Does 41 divide 1635204887? Derivation: False Prompt: Does 19 divide 2952? Derivation: False Prompt: Is 1423 a factor of 908049318? Derivation: False Prompt: Does 151 divide 3554? Derivation: False Prompt: Is 526797 a multiple of 8? Derivation: False Prompt: Is 63 a factor of 65122212? Derivation: False Prompt: Does 2 divide 8117015? Derivation: False Prompt: Is 2341 a multiple of 25? Derivation: False Prompt: Does 26 divide 1076686? Derivation: True Prompt: Does 26 divide 35801? Derivation: False Prompt: Is 280 a factor of 3314058160? Derivation: True Prompt: Is 6191 a multiple of 43? Derivation: False Prompt: Is 11 a factor of 201344? D
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measurement: time ----------------- Math Problem: How many minutes are there between 9:25 PM and 6:05 AM? Thus: 520 Math Problem: How many minutes are there between 5:52 PM and 8:09 PM? Thus: 137 Math Problem: How many minutes are there between 11:13 PM and 10:32 AM? Thus: 679 Math Problem: What is 158 minutes before 12:18 AM? Thus: 9:40 PM Math Problem: What is 139 minutes before 1:43 PM? Thus: 11:24 AM Math Problem: How many minutes are there between 5:03 AM and 6:10 AM? Thus: 67 Math Problem: What is 320 minutes after 11:07 PM? Thus: 4:27 AM Math Problem: How many minutes are there between 11:55 AM and 8:41 PM? Thus: 526 Math Problem: What is 107 minutes after 12:05 AM? Thus: 1:52 AM Math Problem: What is 672 minutes after 7:01 PM? Thus: 6:13 AM Math Problem: How many minutes are there between 4:54 AM and 7:22 AM? Thus: 148 Math Problem: What is 557 minutes before 10:51 AM? Thus: 1:34 AM Math Problem: What is 231 minutes before 6:13 PM? Thus: 2:22 PM Math Problem: What is 439 minutes after 7:34 PM? Thus: 2:53 AM Math Problem: How many minutes are there between 7:29 PM and 7:13 AM? Thus: 704 Math Problem: What is 675 minutes after 2:08 PM? Thus: 1:23 AM Math Problem: How many minutes are there between 7:55 PM and 5:13 AM? Thus: 558 Math Problem: What is 662 minutes before 5:23 AM? Thus: 6:21 PM Math Problem: What is 304 minutes after 8:16 PM? Thus: 1:20 AM Math Problem: What is 366 minutes before 6:02 AM? Thus: 11:56 PM Math Problem: What is 251 minutes before 1:44 PM? Thus: 9:33 AM Math Problem: What is 313 minutes before 9:24 PM? Thus: 4:11 PM Math Problem: How many minutes are there between 1:23 PM and 7:35 PM? Thus: 372 Math Problem: How many minutes are there between 3:26 PM and 5:07 PM? Thus: 101 Math Problem: What is 149 minutes before 9:11 AM? Thus: 6:42 AM Math Problem: How many minutes are there between 10:57 AM and 1:35 PM? Thus: 158 Math Problem: How many minutes are there between 7:59 AM and 12:10 PM? Thus: 251 Math Problem: How many minutes are there
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measurement: time ----------------- Example: What is 532 minutes before 8:03 AM? A.: 11:11 PM Example: How many minutes are there between 1:14 PM and 8:40 PM? A.: 446 Example: How many minutes are there between 6:23 AM and 8:52 AM? A.: 149 Example: What is 71 minutes after 5:43 PM? A.: 6:54 PM Example: What is 277 minutes before 8:04 PM? A.: 3:27 PM Example: What is 69 minutes before 9:12 PM? A.: 8:03 PM Example: How many minutes are there between 11:48 PM and 9:57 AM? A.: 609 Example: What is 103 minutes after 11:53 PM? A.: 1:36 AM Example: What is 89 minutes after 4:56 AM? A.: 6:25 AM Example: How many minutes are there between 1:14 AM and 8:04 AM? A.: 410 Example: How many minutes are there between 10:07 PM and 10:26 PM? A.: 19 Example: How many minutes are there between 3:20 AM and 10:10 AM? A.: 410 Example: What is 546 minutes after 8:00 PM? A.: 5:06 AM Example: How many minutes are there between 2:58 AM and 3:51 AM? A.: 53 Example: What is 91 minutes before 11:24 PM? A.: 9:53 PM Example: What is 444 minutes before 4:52 PM? A.: 9:28 AM Example: What is 657 minutes after 6:45 AM? A.: 5:42 PM Example: How many minutes are there between 2:07 PM and 4:07 PM? A.: 120 Example: What is 446 minutes after 8:02 PM? A.: 3:28 AM Example: How many minutes are there between 4:53 AM and 11:35 AM? A.: 402 Example: What is 514 minutes after 7:21 PM? A.: 3:55 AM Example: What is 141 minutes after 3:30 PM? A.: 5:51 PM Example: How many minutes are there between 7:17 PM and 10:10 PM? A.: 173 Example: What is 406 minutes before 1:11 PM? A.: 6:25 AM Example: How many minutes are there between 3:32 PM and 10:56 PM? A.: 444 Example: How many minutes are there between 10:34 AM and 3:08 PM? A.: 274 Example: What is 485 minutes after 11:06 PM? A.: 7:11 AM Example: How many minutes are there between 7:57 PM and 6:36 AM? A.: 639 Example: What is 530 minutes before 9:21 AM? A.: 12:31 AM Example: How many minutes are there between 3:55 PM and 5:33 PM? A.: 98 Example: What is 681 minutes afte
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probability: swr p sequence --------------------------- Exercise: Calculate prob of sequence thtt when four letters picked without replacement from {t: 3, h: 7}. Solution: 1/120 Exercise: Three letters picked without replacement from htoshoohqhs. What is prob of sequence sot? Solution: 1/165 Exercise: What is prob of sequence vllv when four letters picked without replacement from vvllvlv? Solution: 3/35 Exercise: Calculate prob of sequence jgc when three letters picked without replacement from ccwwwwgujcjwcj. Solution: 1/182 Exercise: Three letters picked without replacement from {g: 2, x: 1, i: 6, z: 2, u: 3, v: 1}. Give prob of sequence izu. Solution: 6/455 Exercise: What is prob of sequence mmmk when four letters picked without replacement from {m: 6, k: 2}? Solution: 1/7 Exercise: Three letters picked without replacement from {p: 1, w: 2, d: 2, z: 4, x: 4, a: 6}. Give prob of sequence wda. Solution: 4/969 Exercise: What is prob of sequence slqw when four letters picked without replacement from lwswwwlqllbwllw? Solution: 1/910 Exercise: Calculate prob of sequence gl when two letters picked without replacement from gglgeeeeegglegxel. Solution: 9/136 Exercise: What is prob of sequence dgd when three letters picked without replacement from {g: 1, y: 3, d: 7, i: 1, q: 1}? Solution: 7/286 Exercise: Two letters picked without replacement from {g: 4, x: 9, h: 4}. Give prob of sequence gg. Solution: 3/68 Exercise: Two letters picked without replacement from {g: 15, v: 5}. What is prob of sequence gv? Solution: 15/76 Exercise: Two letters picked without replacement from {c: 1, l: 4, d: 2, w: 1, p: 1}. What is prob of sequence dl? Solution: 1/9 Exercise: What is prob of sequence dxv when three letters picked without replacement from {x: 2, d: 1, r: 1, v: 1}? Solution: 1/30 Exercise: Calculate prob of sequence kw when two letters picked without replacement from ouwkuuuwkuyywuw. Solution: 4/105 Exercise: What is prob of sequence hbhh when four letters picked without replacem
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measurement: time ----------------- Let us solve: What is 204 minutes after 7:04 PM? Explanation: 10:28 PM Let us solve: What is 462 minutes after 4:07 AM? Explanation: 11:49 AM Let us solve: How many minutes are there between 4:17 AM and 5:58 AM? Explanation: 101 Let us solve: How many minutes are there between 1:04 PM and 4:05 PM? Explanation: 181 Let us solve: How many minutes are there between 2:52 PM and 1:38 AM? Explanation: 646 Let us solve: How many minutes are there between 12:12 PM and 8:25 PM? Explanation: 493 Let us solve: How many minutes are there between 7:22 PM and 5:31 AM? Explanation: 609 Let us solve: How many minutes are there between 3:03 AM and 7:29 AM? Explanation: 266 Let us solve: What is 444 minutes after 4:03 PM? Explanation: 11:27 PM Let us solve: How many minutes are there between 2:35 AM and 7:37 AM? Explanation: 302 Let us solve: What is 596 minutes after 3:09 AM? Explanation: 1:05 PM Let us solve: How many minutes are there between 4:34 PM and 8:49 PM? Explanation: 255 Let us solve: What is 473 minutes before 9:26 PM? Explanation: 1:33 PM Let us solve: How many minutes are there between 11:31 PM and 4:34 AM? Explanation: 303 Let us solve: How many minutes are there between 11:49 AM and 6:53 PM? Explanation: 424 Let us solve: How many minutes are there between 8:33 AM and 8:05 PM? Explanation: 692 Let us solve: What is 132 minutes before 5:12 PM? Explanation: 3:00 PM Let us solve: What is 128 minutes after 1:15 AM? Explanation: 3:23 AM Let us solve: How many minutes are there between 12:03 PM and 2:39 PM? Explanation: 156 Let us solve: How many minutes are there between 2:26 AM and 6:32 AM? Explanation: 246 Let us solve: What is 689 minutes after 8:16 AM? Explanation: 7:45 PM Let us solve: What is 705 minutes after 6:00 PM? Explanation: 5:45 AM Let us solve: What is 141 minutes after 7:09 PM? Explanation: 9:30 PM Let us solve: How many minutes are there between 1:20 PM and 12:27 AM? Explanation: 667 Let us solve: What is 253 minutes be
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probability: swr p sequence --------------------------- Prompt: What is prob of sequence tm when two letters picked without replacement from cmttcm? Solution: 2/15 Prompt: Calculate prob of sequence gtg when three letters picked without replacement from {t: 1, g: 3, a: 2, p: 1}. Solution: 1/35 Prompt: Three letters picked without replacement from {d: 1, y: 2, w: 1, n: 2, k: 1, l: 1}. What is prob of sequence nwd? Solution: 1/168 Prompt: What is prob of sequence zccz when four letters picked without replacement from zzczzcycycz? Solution: 1/33 Prompt: Two letters picked without replacement from kjwqkbjw. What is prob of sequence kb? Solution: 1/28 Prompt: Three letters picked without replacement from vkssvsvksssvksvks. What is prob of sequence vkk? Solution: 1/68 Prompt: Three letters picked without replacement from ehe. What is prob of sequence ehe? Solution: 1/3 Prompt: Calculate prob of sequence irzi when four letters picked without replacement from zrzirzrzrir. Solution: 1/198 Prompt: What is prob of sequence lolo when four letters picked without replacement from ylllolyol? Solution: 5/378 Prompt: Calculate prob of sequence at when two letters picked without replacement from yrtma. Solution: 1/20 Prompt: Four letters picked without replacement from {y: 6}. What is prob of sequence yyyy? Solution: 1 Prompt: Calculate prob of sequence iw when two letters picked without replacement from {i: 1, e: 1, w: 1}. Solution: 1/6 Prompt: Two letters picked without replacement from xuuuxuuuuxxux. What is prob of sequence xu? Solution: 10/39 Prompt: Three letters picked without replacement from pczpccc. What is prob of sequence czc? Solution: 2/35 Prompt: Calculate prob of sequence hpt when three letters picked without replacement from {s: 7, p: 6, h: 1, t: 3}. Solution: 3/680 Prompt: Three letters picked without replacement from {y: 2, q: 3}. What is prob of sequence yqy? Solution: 1/10 Prompt: Calculate prob of sequence qwqw when four letters picked without replacement from q
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numbers: is factor ------------------ Statement: Does 51 divide 1884617? Math A: False Statement: Is 6189 a multiple of 23? Math A: False Statement: Does 44 divide 2349? Math A: False Statement: Does 12 divide 3259? Math A: False Statement: Is 225669 a multiple of 8? Math A: False Statement: Is 67230 a multiple of 10? Math A: True Statement: Does 88 divide 36978? Math A: False Statement: Is 4 a factor of 156? Math A: True Statement: Does 5 divide 3755? Math A: True Statement: Does 3 divide 74? Math A: False Statement: Is 25117915 a multiple of 40? Math A: False Statement: Does 3022 divide 19908936? Math A: True Statement: Does 9 divide 379? Math A: False Statement: Is 764 a factor of 194820? Math A: True Statement: Does 183 divide 13888? Math A: False Statement: Does 9 divide 10959787? Math A: False Statement: Is 352663475 a multiple of 5935? Math A: False Statement: Is 265772 a multiple of 26? Math A: True Statement: Is 66 a factor of 1402236? Math A: True Statement: Is 425442534 a multiple of 66? Math A: True Statement: Is 15 a factor of 5195789026? Math A: False Statement: Is 337093 a multiple of 387? Math A: False Statement: Does 75 divide 3457775? Math A: False Statement: Is 1661 a factor of 31442730? Math A: True Statement: Is 1172456 a multiple of 136? Math A: True Statement: Is 259 a multiple of 4? Math A: False Statement: Is 9 a factor of 33704? Math A: False Statement: Is 1169352 a multiple of 894? Math A: True Statement: Is 59852 a multiple of 26? Math A: True Statement: Is 630 a multiple of 14? Math A: True Statement: Is 82677856 a multiple of 137? Math A: True Statement: Does 1945 divide 395856674? Math A: False Statement: Is 3017043708 a multiple of 10? Math A: False Statement: Is 13 a factor of 7059? Math A: True Statement: Does 14 divide 5882982? Math A: True Statement: Is 42 a factor of 714? Math A: True Statement: Is 288 a factor of 12576552? Math A: False Statement: Does 16 divide 1135? Math A: False Statement: Is 1360 a multiple of 4? Math A: Tru
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probability: swr p level set ---------------------------- Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from rmvmmilvmvvmrmrrrviq? Solution: 1/19 Question: Three letters picked without replacement from {l: 8, m: 3, e: 7}. Give prob of picking 3 e. Solution: 35/816 Question: Calculate prob of picking 2 c and 1 a when three letters picked without replacement from fscacscaffggyc. Solution: 3/91 Question: What is prob of picking 2 t when two letters picked without replacement from ctctntfintftintcnf? Solution: 5/51 Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from {l: 5, c: 8, b: 4, w: 1}? Solution: 8/153 Question: Three letters picked without replacement from {k: 4, y: 2, d: 5}. What is prob of picking 1 d, 1 y, and 1 k? Solution: 8/33 Question: Calculate prob of picking 1 t, 1 w, and 2 f when four letters picked without replacement from wfjwfmffmlwltw. Solution: 24/1001 Question: Calculate prob of picking 1 o and 2 v when three letters picked without replacement from {v: 2, o: 9, u: 2, l: 6}. Solution: 3/323 Question: Three letters picked without replacement from {w: 1, t: 3, r: 1, j: 5, d: 3}. What is prob of picking 1 t, 1 w, and 1 d? Solution: 9/286 Question: What is prob of picking 1 h, 1 n, and 1 c when three letters picked without replacement from nccchhc? Solution: 8/35 Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from tnttoonlwbotllltnn. Solution: 4/51 Question: Two letters picked without replacement from ixixixxixixixxxiii. What is prob of picking 2 i? Solution: 4/17 Question: Four letters picked without replacement from aqqaaaqaqqqqa. Give prob of picking 4 q. Solution: 7/143 Question: Calculate prob of picking 2 p when two letters picked without replacement from bpfpfpfbbbfdbb. Solution: 3/91 Question: Calculate prob of picking 1 r, 1 m, and 1 z when three letters picked without replacement from {z: 1, j: 1, r: 2, c: 2, m:
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numbers: place value -------------------- Qn: What is the ten thousands digit of 20764516? A: 6 Qn: What is the ten millions digit of 122144698? A: 2 Qn: What is the tens digit of 73920730? A: 3 Qn: What is the thousands digit of 53828? A: 3 Qn: What is the ten thousands digit of 20137? A: 2 Qn: What is the thousands digit of 30622144? A: 2 Qn: What is the units digit of 4425? A: 5 Qn: What is the tens digit of 2287? A: 8 Qn: What is the hundreds digit of 398395057? A: 0 Qn: What is the hundreds digit of 319932? A: 9 Qn: What is the ten thousands digit of 3139918948? A: 1 Qn: What is the tens digit of 188071? A: 7 Qn: What is the tens digit of 232413? A: 1 Qn: What is the units digit of 162? A: 2 Qn: What is the millions digit of 1746811527? A: 6 Qn: What is the units digit of 644185103? A: 3 Qn: What is the hundreds digit of 2317? A: 3 Qn: What is the hundreds digit of 3932? A: 9 Qn: What is the thousands digit of 54188896? A: 8 Qn: What is the hundred thousands digit of 8267857? A: 2 Qn: What is the tens digit of 4864? A: 6 Qn: What is the ten thousands digit of 178481831? A: 8 Qn: What is the tens digit of 295658467? A: 6 Qn: What is the thousands digit of 750049? A: 0 Qn: What is the tens digit of 45? A: 4 Qn: What is the hundreds digit of 10032? A: 0 Qn: What is the hundred thousands digit of 251781659? A: 7 Qn: What is the units digit of 1909590437? A: 7 Qn: What is the thousands digit of 2114? A: 2 Qn: What is the millions digit of 4678584? A: 4 Qn: What is the hundreds digit of 6018? A: 0 Qn: What is the tens digit of 4437236? A: 3 Qn: What is the tens digit of 377381981? A: 8 Qn: What is the hundreds digit of 32216? A: 2 Qn: What is the ten millions digit of 112264878? A: 1 Qn: What is the thousands digit of 2267411? A: 7 Qn: What is the hundred millions digit of 3906030748? A: 9 Qn: What is the thousands digit of 90435? A: 0 Qn: What is the units digit of 14272746? A: 6 Qn: What is the units digit of 97? A: 7 Qn: What is the hundreds digit of 1083653? A: 6
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probability: swr p sequence --------------------------- Prompt: Three letters picked without replacement from {a: 1, o: 1, h: 1, c: 1, p: 1}. What is prob of sequence opc? β†’: 1/60 Prompt: Calculate prob of sequence ss when two letters picked without replacement from {o: 4, y: 1, s: 4, e: 2}. β†’: 6/55 Prompt: What is prob of sequence ss when two letters picked without replacement from sckksyyyycyskkyycpy? β†’: 1/57 Prompt: Two letters picked without replacement from bkkbbk. What is prob of sequence kb? β†’: 3/10 Prompt: Four letters picked without replacement from {r: 1, d: 1, j: 1, m: 1, b: 2, i: 1}. Give prob of sequence jjbb. β†’: 0 Prompt: Three letters picked without replacement from {w: 3, b: 4, d: 1, v: 6}. What is prob of sequence www? β†’: 1/364 Prompt: What is prob of sequence tyyt when four letters picked without replacement from yttytzaaaztttayat? β†’: 3/680 Prompt: Three letters picked without replacement from {x: 4, g: 14}. Give prob of sequence xxg. β†’: 7/204 Prompt: Four letters picked without replacement from aiaiaatatttrntiatn. What is prob of sequence raaa? β†’: 1/612 Prompt: Two letters picked without replacement from {g: 4, w: 2, k: 2, s: 1}. Give prob of sequence sg. β†’: 1/18 Prompt: Two letters picked without replacement from {o: 1, k: 2}. Give prob of sequence ko. β†’: 1/3 Prompt: Three letters picked without replacement from zzttctczclzlct. Give prob of sequence ztt. β†’: 2/91 Prompt: What is prob of sequence jzj when three letters picked without replacement from aaagjazja? β†’: 1/252 Prompt: Four letters picked without replacement from ymmymmydzydyzyyym. What is prob of sequence mymy? β†’: 1/51 Prompt: What is prob of sequence ss when two letters picked without replacement from {s: 7, k: 1}? β†’: 3/4 Prompt: Two letters picked without replacement from {i: 3, v: 7, s: 1, y: 3, u: 3, e: 3}. What is prob of sequence su? β†’: 3/380 Prompt: What is prob of sequence fkkj when four letters picked without replacement from {v: 4, j: 7, k: 2, g: 1, f: 3}? β†’: 1/1360 Prompt: Thre
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numbers: is prime ----------------- Scenario: Is 7405679 a prime number? Answer: True Scenario: Is 5174835233 composite? Answer: True Scenario: Is 3593 prime? Answer: True Scenario: Is 4504537 a prime number? Answer: True Scenario: Is 4046287 composite? Answer: True Scenario: Is 1625329 a prime number? Answer: True Scenario: Is 8918257 prime? Answer: False Scenario: Is 155422 a prime number? Answer: False Scenario: Is 31524091 composite? Answer: False Scenario: Is 2246451 a composite number? Answer: True Scenario: Is 173341 prime? Answer: False Scenario: Is 2500331 prime? Answer: True Scenario: Is 356554117 prime? Answer: False Scenario: Is 218053127 composite? Answer: False Scenario: Is 5411 a composite number? Answer: True Scenario: Is 557701 a composite number? Answer: True Scenario: Is 4547 prime? Answer: True Scenario: Is 12451 composite? Answer: False Scenario: Is 4570753 composite? Answer: True Scenario: Is 8391342679 a composite number? Answer: False Scenario: Is 478897949 a composite number? Answer: False Scenario: Is 34676881919 prime? Answer: True Scenario: Is 756986 a prime number? Answer: False Scenario: Is 3973 prime? Answer: False Scenario: Is 4843789 a composite number? Answer: False Scenario: Is 5100767 a prime number? Answer: False Scenario: Is 3622199 a composite number? Answer: True Scenario: Is 119319371 composite? Answer: False Scenario: Is 16769 composite? Answer: True Scenario: Is 2189213239 composite? Answer: False Scenario: Is 13655 a prime number? Answer: False Scenario: Is 307159 prime? Answer: False Scenario: Is 570230171 prime? Answer: False Scenario: Is 32947 prime? Answer: False Scenario: Is 859549 a composite number? Answer: True Scenario: Is 3795236547 composite? Answer: True Scenario: Is 200815 composite? Answer: True Scenario: Is 18607 a composite number? Answer: True Scenario: Is 415061 a prime number? Answer: True Scenario: Is 4231349 a composite number? Answer: True Scenario: Is 2012447 a prime number? Answer: True Scenario: Is
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numbers: div remainder ---------------------- Item: What is the remainder when 4884 is divided by 305? Yields: 4 Item: What is the remainder when 427716 is divided by 427709? Yields: 7 Item: What is the remainder when 327386 is divided by 130? Yields: 46 Item: What is the remainder when 411141 is divided by 121? Yields: 104 Item: What is the remainder when 2491 is divided by 1030? Yields: 431 Item: Calculate the remainder when 262202 is divided by 880. Yields: 842 Item: What is the remainder when 7408011 is divided by 809? Yields: 807 Item: What is the remainder when 42008 is divided by 5? Yields: 3 Item: What is the remainder when 4937 is divided by 2466? Yields: 5 Item: Calculate the remainder when 513132 is divided by 97. Yields: 2 Item: What is the remainder when 292091 is divided by 128? Yields: 123 Item: What is the remainder when 204 is divided by 58? Yields: 30 Item: Calculate the remainder when 1215 is divided by 766. Yields: 449 Item: What is the remainder when 31069 is divided by 4329? Yields: 766 Item: What is the remainder when 43085 is divided by 399? Yields: 392 Item: What is the remainder when 1240 is divided by 601? Yields: 38 Item: Calculate the remainder when 367084 is divided by 78. Yields: 16 Item: Calculate the remainder when 62518 is divided by 18. Yields: 4 Item: Calculate the remainder when 1377714 is divided by 615. Yields: 114 Item: Calculate the remainder when 24474 is divided by 17. Yields: 11 Item: Calculate the remainder when 453517 is divided by 1614. Yields: 1597 Item: What is the remainder when 144740 is divided by 20528? Yields: 1044 Item: What is the remainder when 6399742 is divided by 653? Yields: 342 Item: Calculate the remainder when 160388 is divided by 43. Yields: 41 Item: What is the remainder when 4282600 is divided by 126? Yields: 112 Item: Calculate the remainder when 9586804 is divided by 308. Yields: 304 Item: What is the remainder when 1305 is divided by 82? Yields: 75 Item: What is the remainder when 2847 is divided
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numbers: is prime ----------------- Situation: Is 2654 a prime number? Conclusion: False Situation: Is 1448147105 a composite number? Conclusion: True Situation: Is 204805481 a prime number? Conclusion: True Situation: Is 1041145517 composite? Conclusion: False Situation: Is 14854547 a composite number? Conclusion: False Situation: Is 23113343 prime? Conclusion: False Situation: Is 12517703 composite? Conclusion: True Situation: Is 665344739 prime? Conclusion: True Situation: Is 32777801429 a composite number? Conclusion: False Situation: Is 12197369 prime? Conclusion: True Situation: Is 130822091 a composite number? Conclusion: True Situation: Is 19714411 prime? Conclusion: True Situation: Is 33477643 composite? Conclusion: False Situation: Is 10292561 prime? Conclusion: True Situation: Is 9811 a composite number? Conclusion: False Situation: Is 18713059 composite? Conclusion: True Situation: Is 43133243 a composite number? Conclusion: True Situation: Is 10350621219 composite? Conclusion: True Situation: Is 13799 a prime number? Conclusion: True Situation: Is 8015793671 prime? Conclusion: True Situation: Is 93529141 prime? Conclusion: False Situation: Is 1357789 a prime number? Conclusion: False Situation: Is 50129297 a composite number? Conclusion: True Situation: Is 90517243 prime? Conclusion: False Situation: Is 11678875843 prime? Conclusion: True Situation: Is 5287141 composite? Conclusion: False Situation: Is 1266123733 a prime number? Conclusion: False Situation: Is 5950409 prime? Conclusion: False Situation: Is 54120193 a prime number? Conclusion: True Situation: Is 3049861777 a prime number? Conclusion: True Situation: Is 57668089 a composite number? Conclusion: True Situation: Is 84467869 a composite number? Conclusion: False Situation: Is 127447 composite? Conclusion: False Situation: Is 31847 a prime number? Conclusion: True Situation: Is 3641119 a composite number? Conclusion: False Situation: Is 14263 composite? Conclusion: True Situation: Is 1521839 p
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probability: swr p sequence --------------------------- Exercise: Three letters picked without replacement from {m: 2, g: 7, q: 7, k: 1}. What is prob of sequence qmm? Interpretation: 7/2040 Exercise: Calculate prob of sequence jvjj when four letters picked without replacement from wjvjvvjvjvwjjjwj. Interpretation: 1/26 Exercise: Three letters picked without replacement from {s: 1, y: 2, x: 3, p: 1}. Give prob of sequence xxs. Interpretation: 1/35 Exercise: Calculate prob of sequence lhh when three letters picked without replacement from llhhhhl. Interpretation: 6/35 Exercise: Calculate prob of sequence yaay when four letters picked without replacement from yyaaaayaaayaaaaaya. Interpretation: 13/306 Exercise: What is prob of sequence uu when two letters picked without replacement from {u: 4, e: 10}? Interpretation: 6/91 Exercise: Three letters picked without replacement from vvvevoveevvevoev. What is prob of sequence vov? Interpretation: 3/70 Exercise: Calculate prob of sequence nff when three letters picked without replacement from {f: 18, n: 2}. Interpretation: 17/190 Exercise: Two letters picked without replacement from {x: 2, d: 5, i: 2, m: 3}. Give prob of sequence md. Interpretation: 5/44 Exercise: Calculate prob of sequence bvv when three letters picked without replacement from {b: 1, v: 2}. Interpretation: 1/3 Exercise: Four letters picked without replacement from {k: 11, o: 1}. Give prob of sequence kokk. Interpretation: 1/12 Exercise: Two letters picked without replacement from bfqsqbcbbb. What is prob of sequence bb? Interpretation: 2/9 Exercise: Calculate prob of sequence zooz when four letters picked without replacement from zkozokkk. Interpretation: 1/420 Exercise: What is prob of sequence wr when two letters picked without replacement from lgsgswwr? Interpretation: 1/28 Exercise: What is prob of sequence njj when three letters picked without replacement from {n: 11, j: 3}? Interpretation: 11/364 Exercise: Calculate prob of sequence svjv when four lett
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numbers: place value -------------------- Let us solve: What is the hundreds digit of 5359? Response: 3 Let us solve: What is the hundreds digit of 44534471? Response: 4 Let us solve: What is the thousands digit of 4619? Response: 4 Let us solve: What is the ten thousands digit of 1192708? Response: 9 Let us solve: What is the hundred thousands digit of 6162279? Response: 1 Let us solve: What is the thousands digit of 1469? Response: 1 Let us solve: What is the units digit of 971? Response: 1 Let us solve: What is the units digit of 2295182? Response: 2 Let us solve: What is the hundreds digit of 115640? Response: 6 Let us solve: What is the hundreds digit of 8700983? Response: 9 Let us solve: What is the hundreds digit of 2203201941? Response: 9 Let us solve: What is the hundred thousands digit of 5721597? Response: 7 Let us solve: What is the units digit of 35411134? Response: 4 Let us solve: What is the hundreds digit of 461020? Response: 0 Let us solve: What is the units digit of 54773787? Response: 7 Let us solve: What is the hundred millions digit of 138473211? Response: 1 Let us solve: What is the ten thousands digit of 476284124? Response: 8 Let us solve: What is the thousands digit of 5768? Response: 5 Let us solve: What is the units digit of 822240195? Response: 5 Let us solve: What is the ten thousands digit of 22197? Response: 2 Let us solve: What is the thousands digit of 14598531? Response: 8 Let us solve: What is the hundred thousands digit of 200767534? Response: 7 Let us solve: What is the tens digit of 6020? Response: 2 Let us solve: What is the hundred thousands digit of 234842605? Response: 8 Let us solve: What is the thousands digit of 152508? Response: 2 Let us solve: What is the units digit of 570575? Response: 5 Let us solve: What is the thousands digit of 24260? Response: 4 Let us solve: What is the ten thousands digit of 2358080840? Response: 8 Let us solve: What is the ten thousands digit of 93526398? Response: 2 Let us solve: What is the
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measurement: conversion ----------------------- Statement: How many nanograms are there in 6.028416t? Derivation: 6028416000000000 Statement: How many millilitres are there in 67.45252l? Derivation: 67452.52 Statement: Convert 0.6323544 kilometers to micrometers. Derivation: 632354400 Statement: Convert 4845.152 centimeters to kilometers. Derivation: 0.04845152 Statement: How many millilitres are there in 5.65051 litres? Derivation: 5650.51 Statement: How many millilitres are there in eighteen fifths of a litre? Derivation: 3600 Statement: How many months are there in 1/4 of a century? Derivation: 300 Statement: What is 71722.4 grams in kilograms? Derivation: 71.7224 Statement: How many months are there in 3/50 of a century? Derivation: 72 Statement: What is 5/8 of a milligram in micrograms? Derivation: 625 Statement: How many millilitres are there in 48/5 of a litre? Derivation: 9600 Statement: How many months are there in 2/15 of a millennium? Derivation: 1600 Statement: What is one eighteenth of a week in seconds? Derivation: 33600 Statement: Convert 43.4008m to kilometers. Derivation: 0.0434008 Statement: What is twenty-seven halves of a litre in millilitres? Derivation: 13500 Statement: What is two sevenths of a week in minutes? Derivation: 2880 Statement: What is seven thirds of a week in hours? Derivation: 392 Statement: How many years are there in 1.399005 months? Derivation: 0.11658375 Statement: How many millilitres are there in 17/2 of a litre? Derivation: 8500 Statement: What is 34.34208 years in decades? Derivation: 3.434208 Statement: What is 838.5083 kilograms in micrograms? Derivation: 838508300000 Statement: How many litres are there in 0.9846323 millilitres? Derivation: 0.0009846323 Statement: What is 8.201125 millimeters in kilometers? Derivation: 0.000008201125 Statement: What is fourty-two fifths of a kilogram in grams? Derivation: 8400 Statement: Convert 7.987504m to kilometers. Derivation: 0.007987504 Statement: Convert 470968.1 milligrams to
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numbers: place value -------------------- Problem: What is the hundred thousands digit of 107977302? Response: 9 Problem: What is the tens digit of 166247256? Response: 5 Problem: What is the tens digit of 745? Response: 4 Problem: What is the ten thousands digit of 1454523929? Response: 2 Problem: What is the thousands digit of 1752? Response: 1 Problem: What is the hundreds digit of 45681? Response: 6 Problem: What is the billions digit of 1938754081? Response: 1 Problem: What is the units digit of 30255? Response: 5 Problem: What is the ten thousands digit of 527937123? Response: 3 Problem: What is the thousands digit of 4277? Response: 4 Problem: What is the hundreds digit of 55137370? Response: 3 Problem: What is the units digit of 670? Response: 0 Problem: What is the hundreds digit of 89619044? Response: 0 Problem: What is the hundreds digit of 2906? Response: 9 Problem: What is the millions digit of 3475597178? Response: 5 Problem: What is the hundreds digit of 3657? Response: 6 Problem: What is the tens digit of 2345? Response: 4 Problem: What is the ten thousands digit of 13254? Response: 1 Problem: What is the hundreds digit of 30946? Response: 9 Problem: What is the thousands digit of 113336? Response: 3 Problem: What is the hundred thousands digit of 104115928? Response: 1 Problem: What is the hundred thousands digit of 257597? Response: 2 Problem: What is the units digit of 1992225196? Response: 6 Problem: What is the units digit of 2474? Response: 4 Problem: What is the hundred thousands digit of 682002? Response: 6 Problem: What is the hundred thousands digit of 4834391147? Response: 3 Problem: What is the hundreds digit of 44317? Response: 3 Problem: What is the tens digit of 6522? Response: 2 Problem: What is the hundreds digit of 7847? Response: 8 Problem: What is the thousands digit of 2383? Response: 2 Problem: What is the units digit of 715954? Response: 4 Problem: What is the thousands digit of 826618? Response: 6 Problem: What is the thousand
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numbers: div remainder ---------------------- Q/A: Calculate the remainder when 202 is divided by 147. Solution: 55 Q/A: Calculate the remainder when 92477438 is divided by 821. Solution: 819 Q/A: What is the remainder when 34601 is divided by 6? Solution: 5 Q/A: Calculate the remainder when 2951453 is divided by 42. Solution: 29 Q/A: Calculate the remainder when 1821 is divided by 16. Solution: 13 Q/A: Calculate the remainder when 119 is divided by 63. Solution: 56 Q/A: What is the remainder when 88 is divided by 39? Solution: 10 Q/A: Calculate the remainder when 356 is divided by 45. Solution: 41 Q/A: Calculate the remainder when 106 is divided by 9. Solution: 7 Q/A: Calculate the remainder when 13962 is divided by 496. Solution: 74 Q/A: What is the remainder when 284277 is divided by 35505? Solution: 237 Q/A: Calculate the remainder when 54 is divided by 8. Solution: 6 Q/A: What is the remainder when 645 is divided by 54? Solution: 51 Q/A: What is the remainder when 1578240 is divided by 37576? Solution: 48 Q/A: What is the remainder when 311 is divided by 87? Solution: 50 Q/A: Calculate the remainder when 1754 is divided by 1730. Solution: 24 Q/A: Calculate the remainder when 58 is divided by 42. Solution: 16 Q/A: What is the remainder when 107633 is divided by 375? Solution: 8 Q/A: What is the remainder when 203064 is divided by 577? Solution: 537 Q/A: What is the remainder when 7070 is divided by 177? Solution: 167 Q/A: Calculate the remainder when 1350 is divided by 12. Solution: 6 Q/A: Calculate the remainder when 48317 is divided by 5. Solution: 2 Q/A: What is the remainder when 180353 is divided by 47? Solution: 14 Q/A: What is the remainder when 10058660 is divided by 30? Solution: 20 Q/A: Calculate the remainder when 23107 is divided by 170. Solution: 157 Q/A: What is the remainder when 203 is divided by 14? Solution: 7 Q/A: What is the remainder when 343484 is divided by 224? Solution: 92 Q/A: Calculate the remainder when 8264 is divided by 6592. Soluti
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measurement: time ----------------- Q.: How many minutes are there between 5:46 PM and 5:25 AM? Resolution: 699 Q.: What is 292 minutes after 7:03 AM? Resolution: 11:55 AM Q.: What is 691 minutes before 9:11 PM? Resolution: 9:40 AM Q.: How many minutes are there between 3:50 PM and 7:21 PM? Resolution: 211 Q.: How many minutes are there between 9:48 PM and 11:20 PM? Resolution: 92 Q.: How many minutes are there between 9:13 PM and 8:45 AM? Resolution: 692 Q.: What is 9 minutes after 11:35 PM? Resolution: 11:44 PM Q.: How many minutes are there between 12:25 AM and 2:46 AM? Resolution: 141 Q.: What is 132 minutes after 7:11 PM? Resolution: 9:23 PM Q.: How many minutes are there between 10:31 PM and 4:31 AM? Resolution: 360 Q.: What is 54 minutes before 11:09 AM? Resolution: 10:15 AM Q.: How many minutes are there between 12:42 PM and 11:58 PM? Resolution: 676 Q.: What is 457 minutes after 2:14 PM? Resolution: 9:51 PM Q.: What is 304 minutes after 9:04 AM? Resolution: 2:08 PM Q.: What is 526 minutes after 12:13 AM? Resolution: 8:59 AM Q.: What is 663 minutes before 8:35 AM? Resolution: 9:32 PM Q.: How many minutes are there between 7:00 PM and 2:48 AM? Resolution: 468 Q.: How many minutes are there between 1:45 PM and 12:37 AM? Resolution: 652 Q.: How many minutes are there between 3:09 AM and 11:25 AM? Resolution: 496 Q.: What is 627 minutes after 11:59 PM? Resolution: 10:26 AM Q.: How many minutes are there between 12:17 AM and 12:02 PM? Resolution: 705 Q.: How many minutes are there between 2:34 PM and 10:28 PM? Resolution: 474 Q.: How many minutes are there between 3:37 PM and 10:22 PM? Resolution: 405 Q.: How many minutes are there between 9:55 AM and 8:38 PM? Resolution: 643 Q.: What is 485 minutes before 7:11 PM? Resolution: 11:06 AM Q.: What is 244 minutes before 1:08 AM? Resolution: 9:04 PM Q.: How many minutes are there between 12:30 PM and 9:04 PM? Resolution: 514 Q.: What is 634 minutes after 3:25 AM? Resolution: 1:59 PM Q.: How many minutes are there betw
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numbers: place value -------------------- Qn: What is the units digit of 270740? Answer: 0 Qn: What is the hundreds digit of 1988? Answer: 9 Qn: What is the hundred millions digit of 2128497497? Answer: 1 Qn: What is the hundreds digit of 21881? Answer: 8 Qn: What is the hundreds digit of 2977843? Answer: 8 Qn: What is the units digit of 9957? Answer: 7 Qn: What is the hundred thousands digit of 276158581? Answer: 1 Qn: What is the hundreds digit of 19987? Answer: 9 Qn: What is the ten thousands digit of 96333349? Answer: 3 Qn: What is the units digit of 578? Answer: 8 Qn: What is the tens digit of 8886? Answer: 8 Qn: What is the tens digit of 195059493? Answer: 9 Qn: What is the millions digit of 1206548769? Answer: 6 Qn: What is the ten thousands digit of 28425? Answer: 2 Qn: What is the hundreds digit of 6242263391? Answer: 3 Qn: What is the ten thousands digit of 48515441? Answer: 1 Qn: What is the tens digit of 1632426? Answer: 2 Qn: What is the thousands digit of 579110? Answer: 9 Qn: What is the units digit of 49744? Answer: 4 Qn: What is the ten thousands digit of 30469? Answer: 3 Qn: What is the ten thousands digit of 1404619? Answer: 0 Qn: What is the tens digit of 36956241? Answer: 4 Qn: What is the tens digit of 755727? Answer: 2 Qn: What is the tens digit of 228129074? Answer: 7 Qn: What is the hundreds digit of 327114? Answer: 1 Qn: What is the units digit of 720548? Answer: 8 Qn: What is the hundreds digit of 399765554? Answer: 5 Qn: What is the hundreds digit of 28899215? Answer: 2 Qn: What is the hundred thousands digit of 105962? Answer: 1 Qn: What is the ten thousands digit of 72118? Answer: 7 Qn: What is the thousands digit of 42655? Answer: 2 Qn: What is the units digit of 2349? Answer: 9 Qn: What is the tens digit of 42966602? Answer: 0 Qn: What is the tens digit of 3630? Answer: 3 Qn: What is the millions digit of 274455307? Answer: 4 Qn: What is the ten thousands digit of 3888106? Answer: 8 Qn: What is the tens digit of 99361470? Answer: 7 Qn
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numbers: place value -------------------- Item: What is the hundreds digit of 1301? Result: 3 Item: What is the units digit of 16485473? Result: 3 Item: What is the hundreds digit of 2317? Result: 3 Item: What is the units digit of 1882916? Result: 6 Item: What is the hundreds digit of 711820? Result: 8 Item: What is the ten thousands digit of 115666? Result: 1 Item: What is the hundreds digit of 102738? Result: 7 Item: What is the units digit of 3275725331? Result: 1 Item: What is the millions digit of 20512842? Result: 0 Item: What is the thousands digit of 220728? Result: 0 Item: What is the units digit of 1314? Result: 4 Item: What is the hundreds digit of 44841? Result: 8 Item: What is the units digit of 229397483? Result: 3 Item: What is the hundreds digit of 1544? Result: 5 Item: What is the tens digit of 1058? Result: 5 Item: What is the thousands digit of 32055? Result: 2 Item: What is the units digit of 677813? Result: 3 Item: What is the thousands digit of 1244977276? Result: 7 Item: What is the units digit of 114159? Result: 9 Item: What is the hundred millions digit of 2061971084? Result: 0 Item: What is the units digit of 4710? Result: 0 Item: What is the tens digit of 474778? Result: 7 Item: What is the tens digit of 206336? Result: 3 Item: What is the ten thousands digit of 8677267? Result: 7 Item: What is the units digit of 75430? Result: 0 Item: What is the hundreds digit of 1025836? Result: 8 Item: What is the thousands digit of 7306862030? Result: 2 Item: What is the units digit of 52896? Result: 6 Item: What is the ten thousands digit of 22254147? Result: 5 Item: What is the thousands digit of 163279627? Result: 9 Item: What is the hundreds digit of 36186449? Result: 4 Item: What is the ten thousands digit of 4355105? Result: 5 Item: What is the hundreds digit of 15758? Result: 7 Item: What is the ten millions digit of 14520142? Result: 1 Item: What is the hundred thousands digit of 334440? Result: 3 Item: What is the units digit of 19996? Resul
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numbers: is prime ----------------- Part A: Is 107482321 a composite number? Eval: False Part A: Is 13147 a composite number? Eval: False Part A: Is 23459 a composite number? Eval: False Part A: Is 46338307 a composite number? Eval: True Part A: Is 35292875699 prime? Eval: True Part A: Is 170097724237 composite? Eval: True Part A: Is 14379721 prime? Eval: True Part A: Is 24666877 prime? Eval: True Part A: Is 6761 composite? Eval: False Part A: Is 120027091 a composite number? Eval: True Part A: Is 358213397 a composite number? Eval: True Part A: Is 740604923 composite? Eval: False Part A: Is 22199 prime? Eval: False Part A: Is 30862764139 composite? Eval: True Part A: Is 2631899291 a prime number? Eval: False Part A: Is 10711690931 a prime number? Eval: True Part A: Is 1351897 a composite number? Eval: False Part A: Is 216110889791 composite? Eval: False Part A: Is 17756239 a composite number? Eval: True Part A: Is 1626297611 a composite number? Eval: True Part A: Is 8090400935 composite? Eval: True Part A: Is 7349 a composite number? Eval: False Part A: Is 30650879 a composite number? Eval: True Part A: Is 25750675789 a prime number? Eval: True Part A: Is 3993757 prime? Eval: False Part A: Is 605629 prime? Eval: True Part A: Is 3516004353 a prime number? Eval: False Part A: Is 28490790007 a prime number? Eval: False Part A: Is 19 prime? Eval: True Part A: Is 316121 composite? Eval: True Part A: Is 1055137933 a prime number? Eval: True Part A: Is 84949661 a prime number? Eval: False Part A: Is 1318417 a composite number? Eval: True Part A: Is 18351579 a prime number? Eval: False Part A: Is 4442 composite? Eval: True Part A: Is 506444759 a prime number? Eval: False Part A: Is 159513773 composite? Eval: False Part A: Is 304579 composite? Eval: True Part A: Is 1148489 composite? Eval: False Part A: Is 13592425357 a prime number? Eval: False Part A: Is 3891179 a composite number? Eval: True Part A: Is 117943237 a composite number? Eval: False Part A: Is 1170434 composit
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numbers: gcd ------------ Topic: What is the greatest common divisor of 82 and 710366? Response: 82 Topic: What is the greatest common divisor of 162 and 51545889? Response: 81 Topic: What is the highest common divisor of 4042242 and 18? Response: 18 Topic: Calculate the highest common divisor of 39 and 678. Response: 3 Topic: Calculate the greatest common factor of 1188 and 92772. Response: 108 Topic: What is the highest common factor of 3082982 and 6176? Response: 386 Topic: What is the highest common factor of 1729 and 252187? Response: 247 Topic: Calculate the highest common factor of 539 and 784. Response: 49 Topic: Calculate the greatest common divisor of 9 and 9. Response: 9 Topic: What is the highest common divisor of 144 and 13744? Response: 16 Topic: What is the greatest common factor of 5133646 and 214? Response: 214 Topic: What is the highest common divisor of 190 and 24168? Response: 38 Topic: Calculate the greatest common factor of 1274932 and 34. Response: 34 Topic: Calculate the greatest common divisor of 1104 and 12912. Response: 48 Topic: What is the greatest common factor of 1064 and 4761960? Response: 56 Topic: What is the highest common divisor of 33 and 627? Response: 33 Topic: Calculate the highest common divisor of 150420 and 327. Response: 327 Topic: What is the greatest common divisor of 13 and 1963? Response: 13 Topic: Calculate the highest common factor of 112309 and 19665. Response: 437 Topic: Calculate the greatest common factor of 78 and 123. Response: 3 Topic: Calculate the highest common factor of 3528 and 8091816. Response: 24 Topic: Calculate the greatest common factor of 646650 and 5760. Response: 90 Topic: Calculate the greatest common divisor of 2580 and 46870. Response: 430 Topic: What is the greatest common divisor of 3404 and 50? Response: 2 Topic: What is the greatest common divisor of 30 and 5725? Response: 5 Topic: Calculate the greatest common factor of 1517995 and 11650. Response: 1165 Topic: What is the greatest common
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probability: swr p level set ---------------------------- Conundrum: Calculate prob of picking 2 h and 1 v when three letters picked without replacement from {h: 4, v: 3, o: 7}. Compute: 9/182 Conundrum: Four letters picked without replacement from {r: 8, a: 1, s: 3, q: 1, b: 6}. Give prob of picking 1 b and 3 r. Compute: 28/323 Conundrum: Two letters picked without replacement from {t: 5, v: 1, n: 3, m: 1}. Give prob of picking 2 n. Compute: 1/15 Conundrum: Four letters picked without replacement from bwbbbwbwbwbbbwbb. What is prob of picking 4 w? Compute: 1/364 Conundrum: Four letters picked without replacement from {f: 7, k: 1}. What is prob of picking 4 f? Compute: 1/2 Conundrum: Calculate prob of picking 4 d when four letters picked without replacement from dffffffdfdddf. Compute: 1/143 Conundrum: Calculate prob of picking 3 j and 1 h when four letters picked without replacement from jhhjjj. Compute: 8/15 Conundrum: Three letters picked without replacement from {b: 5, q: 3, f: 1, h: 1}. What is prob of picking 1 q, 1 b, and 1 h? Compute: 1/8 Conundrum: Two letters picked without replacement from xrllxxxxlal. Give prob of picking 1 l and 1 a. Compute: 4/55 Conundrum: Three letters picked without replacement from {p: 5, d: 1, k: 3, q: 1, s: 1}. Give prob of picking 2 k and 1 s. Compute: 1/55 Conundrum: Three letters picked without replacement from {v: 1, e: 2, g: 1, y: 2, c: 1}. What is prob of picking 1 e, 1 v, and 1 y? Compute: 4/35 Conundrum: What is prob of picking 1 o and 3 g when four letters picked without replacement from {g: 3, o: 7, i: 9}? Compute: 7/3876 Conundrum: What is prob of picking 1 o and 1 f when two letters picked without replacement from oooffjofffojfff? Compute: 8/21 Conundrum: Four letters picked without replacement from gggggg. Give prob of picking 4 g. Compute: 1 Conundrum: Two letters picked without replacement from eere. What is prob of picking 1 r and 1 e? Compute: 1/2 Conundrum: Calculate prob of picking 1 l and 1 p when two letters
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arithmetic: nearest integer root -------------------------------- Request: What is the square root of 155229 to the nearest integer? Key: 394 Request: What is the third root of 358909968 to the nearest integer? Key: 711 Request: What is 24653 to the power of 1/3, to the nearest integer? Key: 29 Request: What is the third root of 1793470 to the nearest integer? Key: 121 Request: What is the fifth root of 10047 to the nearest integer? Key: 6 Request: What is the third root of 3847 to the nearest integer? Key: 16 Request: What is 1232187 to the power of 1/2, to the nearest integer? Key: 1110 Request: What is the eighth root of 100138874 to the nearest integer? Key: 10 Request: What is the third root of 23776926 to the nearest integer? Key: 288 Request: What is 1063842 to the power of 1/8, to the nearest integer? Key: 6 Request: What is the fourth root of 5104 to the nearest integer? Key: 8 Request: What is 30340210 to the power of 1/2, to the nearest integer? Key: 5508 Request: What is 452202 to the power of 1/4, to the nearest integer? Key: 26 Request: What is 6647956 to the power of 1/2, to the nearest integer? Key: 2578 Request: What is the third root of 18631 to the nearest integer? Key: 27 Request: What is the ninth root of 4256 to the nearest integer? Key: 3 Request: What is the tenth root of 994 to the nearest integer? Key: 2 Request: What is the square root of 57471692 to the nearest integer? Key: 7581 Request: What is the eighth root of 31083 to the nearest integer? Key: 4 Request: What is 514020805 to the power of 1/5, to the nearest integer? Key: 55 Request: What is the third root of 3187 to the nearest integer? Key: 15 Request: What is the square root of 194 to the nearest integer? Key: 14 Request: What is the sixth root of 3360 to the nearest integer? Key: 4 Request: What is 123022 to the power of 1/8, to the nearest integer? Key: 4 Request: What is 1390739706 to the power of 1/9, to the nearest integer? Key: 10 Request: What is 358772945 to the power of 1
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probability: swr p level set ---------------------------- Q=: Two letters picked without replacement from fffjfjjf. Give prob of picking 2 f. Final Answer: 5/14 Q=: Calculate prob of picking 1 m and 2 e when three letters picked without replacement from {e: 4, n: 3, m: 1}. Final Answer: 3/28 Q=: Two letters picked without replacement from {b: 9, h: 2}. Give prob of picking 2 b. Final Answer: 36/55 Q=: What is prob of picking 1 r and 1 m when two letters picked without replacement from wzyrrbm? Final Answer: 2/21 Q=: Calculate prob of picking 4 s when four letters picked without replacement from {l: 8, s: 4, x: 1}. Final Answer: 1/715 Q=: Two letters picked without replacement from {u: 3, h: 3, l: 3, p: 6}. What is prob of picking 1 u and 1 h? Final Answer: 3/35 Q=: Calculate prob of picking 2 l and 2 p when four letters picked without replacement from llllplppllp. Final Answer: 21/55 Q=: Four letters picked without replacement from {c: 9, t: 4, s: 6}. What is prob of picking 2 c and 2 t? Final Answer: 18/323 Q=: Three letters picked without replacement from {v: 3, g: 11}. What is prob of picking 1 g and 2 v? Final Answer: 33/364 Q=: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {o: 2, v: 2, x: 6, k: 1, n: 7}. Final Answer: 7/153 Q=: What is prob of picking 1 a and 1 l when two letters picked without replacement from {l: 4, a: 15}? Final Answer: 20/57 Q=: What is prob of picking 1 a and 1 t when two letters picked without replacement from {f: 1, t: 2, a: 2, o: 1, w: 1}? Final Answer: 4/21 Q=: Two letters picked without replacement from fwffwajffvwafffww. Give prob of picking 1 a and 1 w. Final Answer: 5/68 Q=: Two letters picked without replacement from sbljbljljlbfqbbqq. What is prob of picking 1 j and 1 s? Final Answer: 3/136 Q=: Four letters picked without replacement from {a: 5, s: 15}. Give prob of picking 3 s and 1 a. Final Answer: 455/969 Q=: Calculate prob of picking 3 u and 1 q when four letters picked without replace
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