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probability: swr p level set ---------------------------- Q/A: What is prob of picking 2 q and 2 u when four letters picked without replacement from qvqujjuuqjuuqjj? Ans: 4/91 Q/A: Calculate prob of picking 1 q, 2 i, and 1 e when four letters picked without replacement from {i: 2, p: 1, n: 7, e: 6, q: 4}. Ans: 8/1615 Q/A: What is prob of picking 2 a when two letters picked without replacement from {a: 2, d: 2, z: 3, b: 4, p: 2}? Ans: 1/78 Q/A: Four letters picked without replacement from sssshsssssj. What is prob of picking 1 h and 3 s? Ans: 14/55 Q/A: Four letters picked without replacement from {d: 10, w: 2}. What is prob of picking 4 d? Ans: 14/33 Q/A: Calculate prob of picking 3 c and 1 n when four letters picked without replacement from cgccnnc. Ans: 8/35 Q/A: Three letters picked without replacement from {l: 3, h: 1, m: 4}. Give prob of picking 2 m and 1 h. Ans: 3/28 Q/A: Three letters picked without replacement from hqqqqqh. Give prob of picking 3 q. Ans: 2/7 Q/A: What is prob of picking 1 l, 1 t, and 1 f when three letters picked without replacement from aaltfhl? Ans: 2/35 Q/A: What is prob of picking 1 v and 1 m when two letters picked without replacement from {z: 2, v: 2, y: 1, e: 4, m: 6}? Ans: 4/35 Q/A: Calculate prob of picking 1 z, 1 m, and 1 i when three letters picked without replacement from kiiizizim. Ans: 5/42 Q/A: Two letters picked without replacement from {z: 2, o: 4, e: 2, n: 3, d: 1, f: 3}. What is prob of picking 1 n and 1 z? Ans: 2/35 Q/A: What is prob of picking 2 a, 1 s, and 1 m when four letters picked without replacement from {s: 9, a: 2, j: 1, m: 1}? Ans: 9/715 Q/A: What is prob of picking 2 a, 1 u, and 1 j when four letters picked without replacement from ujullllquatluajatal? Ans: 4/323 Q/A: Two letters picked without replacement from kiikjmpkjcjkjjk. Give prob of picking 2 i. Ans: 1/105 Q/A: Four letters picked without replacement from bbnnnbnbnnbnn. Give prob of picking 3 n and 1 b. Ans: 56/143 Q/A: What is prob of picking 2 l and 1
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numbers: is prime ----------------- Situation: Is 88267973 a composite number? Compute: False Situation: Is 1076719 prime? Compute: False Situation: Is 7189439 composite? Compute: False Situation: Is 5903161 a composite number? Compute: True Situation: Is 2214796043 composite? Compute: True Situation: Is 6026613 composite? Compute: True Situation: Is 43879 composite? Compute: True Situation: Is 6419843 composite? Compute: False Situation: Is 72318411146 composite? Compute: True Situation: Is 1704713 composite? Compute: False Situation: Is 2934125741 composite? Compute: True Situation: Is 7090782267 a prime number? Compute: False Situation: Is 886771 a prime number? Compute: False Situation: Is 95807 prime? Compute: False Situation: Is 5989 prime? Compute: False Situation: Is 59639596469 a prime number? Compute: False Situation: Is 127079 composite? Compute: False Situation: Is 20173589 prime? Compute: False Situation: Is 276416131 composite? Compute: False Situation: Is 2389284791 prime? Compute: False Situation: Is 403935359 a prime number? Compute: True Situation: Is 28789 prime? Compute: True Situation: Is 30779461 prime? Compute: True Situation: Is 1387571 a prime number? Compute: True Situation: Is 258233 a prime number? Compute: True Situation: Is 971177 composite? Compute: False Situation: Is 647798 a prime number? Compute: False Situation: Is 2276167 prime? Compute: True Situation: Is 54601 a prime number? Compute: True Situation: Is 565031729 composite? Compute: True Situation: Is 8238593 a composite number? Compute: True Situation: Is 141445 composite? Compute: True Situation: Is 105509 a prime number? Compute: True Situation: Is 215417 a composite number? Compute: False Situation: Is 235217479 prime? Compute: False Situation: Is 10319 a composite number? Compute: True Situation: Is 2731612229 a composite number? Compute: True Situation: Is 138920909 prime? Compute: False Situation: Is 3930769477 a composite number? Compute: True Situation: Is 2059 prime?
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numbers: is factor ------------------ Prompt: Is 13 a factor of 1571? Calculation: False Prompt: Does 93 divide 111414? Calculation: True Prompt: Is 18 a factor of 45325? Calculation: False Prompt: Does 36 divide 281? Calculation: False Prompt: Is 3783 a multiple of 16? Calculation: False Prompt: Does 304 divide 50267370? Calculation: False Prompt: Does 951 divide 115550304? Calculation: True Prompt: Is 2492116724 a multiple of 490? Calculation: False Prompt: Is 7 a factor of 578? Calculation: False Prompt: Does 161 divide 27531? Calculation: True Prompt: Does 13 divide 100264476? Calculation: True Prompt: Is 56127 a multiple of 10? Calculation: False Prompt: Is 15 a factor of 3024422? Calculation: False Prompt: Does 122 divide 14274? Calculation: True Prompt: Is 59224 a multiple of 8? Calculation: True Prompt: Is 1269117050 a multiple of 46? Calculation: False Prompt: Does 12 divide 180225216? Calculation: True Prompt: Is 195 a factor of 39020870? Calculation: False Prompt: Does 28 divide 499171? Calculation: False Prompt: Is 35 a factor of 705721? Calculation: False Prompt: Is 96 a factor of 34256? Calculation: False Prompt: Does 115 divide 30590? Calculation: True Prompt: Is 16 a factor of 10905696? Calculation: True Prompt: Is 5933431 a multiple of 67? Calculation: False Prompt: Is 13 a factor of 2925? Calculation: True Prompt: Is 7614621 a multiple of 7? Calculation: True Prompt: Is 35400 a multiple of 177? Calculation: True Prompt: Is 29 a factor of 108584? Calculation: False Prompt: Does 149 divide 4053470? Calculation: False Prompt: Does 3 divide 270? Calculation: True Prompt: Is 231728 a multiple of 16? Calculation: True Prompt: Is 20 a factor of 500? Calculation: True Prompt: Is 1480422576 a multiple of 516? Calculation: True Prompt: Is 129227 a multiple of 51? Calculation: False Prompt: Is 275 a multiple of 25? Calculation: True Prompt: Does 12 divide 204? Calculation: True Prompt: Is 25 a factor of 4276? Calculation: False Prompt: Does 1811 divide 146742
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probability: swr p sequence --------------------------- Puzzle: What is prob of sequence ku when two letters picked without replacement from {l: 2, i: 2, n: 2, m: 3, u: 4, k: 3}? Key: 1/20 Puzzle: Calculate prob of sequence avb when three letters picked without replacement from lvgbazl. Key: 1/210 Puzzle: What is prob of sequence kuqb when four letters picked without replacement from hkdkhqqqddkhkkhqkukb? Key: 7/29070 Puzzle: Three letters picked without replacement from {s: 2, d: 9, i: 5}. Give prob of sequence iii. Key: 1/56 Puzzle: Calculate prob of sequence cff when three letters picked without replacement from {c: 5, f: 13}. Key: 65/408 Puzzle: What is prob of sequence hwe when three letters picked without replacement from {e: 3, w: 1, h: 4, k: 2, d: 1}? Key: 2/165 Puzzle: Two letters picked without replacement from xsffhhhswxxhsffjxh. Give prob of sequence sh. Key: 5/102 Puzzle: Three letters picked without replacement from {q: 2, t: 1, g: 2, i: 1, x: 1}. Give prob of sequence qtg. Key: 2/105 Puzzle: Two letters picked without replacement from hshssnsshnn. Give prob of sequence nn. Key: 3/55 Puzzle: Two letters picked without replacement from itdggdgglgll. Give prob of sequence lt. Key: 1/44 Puzzle: Four letters picked without replacement from oxmozozxooozozzxm. What is prob of sequence omzx? Key: 1/272 Puzzle: What is prob of sequence zc when two letters picked without replacement from {c: 1, i: 4, z: 3}? Key: 3/56 Puzzle: Calculate prob of sequence ppk when three letters picked without replacement from paklalliapnpliiaiain. Key: 1/1140 Puzzle: Three letters picked without replacement from rrrrrr. Give prob of sequence rrr. Key: 1 Puzzle: What is prob of sequence oto when three letters picked without replacement from {o: 4, t: 16}? Key: 8/285 Puzzle: Calculate prob of sequence mf when two letters picked without replacement from {e: 1, i: 1, f: 2, m: 1}. Key: 1/10 Puzzle: Calculate prob of sequence aff when three letters picked without replacement from cfaccff
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numbers: gcd ------------ Input: What is the greatest common divisor of 991406 and 374? Solution: 34 Input: What is the greatest common divisor of 4598406 and 9? Solution: 9 Input: What is the greatest common factor of 235 and 38405? Solution: 5 Input: Calculate the highest common factor of 16 and 58. Solution: 2 Input: What is the greatest common factor of 884 and 234260? Solution: 884 Input: Calculate the greatest common divisor of 1441 and 11. Solution: 11 Input: Calculate the highest common factor of 189976025 and 125. Solution: 25 Input: What is the greatest common divisor of 6556 and 8? Solution: 4 Input: Calculate the highest common factor of 122496000 and 8960. Solution: 1280 Input: What is the greatest common divisor of 30233 and 11907? Solution: 49 Input: What is the highest common divisor of 374621 and 13? Solution: 13 Input: What is the greatest common factor of 10260642 and 336? Solution: 42 Input: What is the highest common divisor of 629 and 8143? Solution: 17 Input: Calculate the greatest common divisor of 14841358 and 140. Solution: 14 Input: What is the greatest common factor of 14 and 404684? Solution: 14 Input: Calculate the highest common factor of 6 and 139527. Solution: 3 Input: What is the greatest common factor of 71 and 12246719? Solution: 71 Input: What is the highest common factor of 2026492 and 208? Solution: 52 Input: What is the greatest common factor of 22 and 143638? Solution: 22 Input: What is the greatest common factor of 9984 and 4641? Solution: 39 Input: Calculate the highest common divisor of 8277984 and 297. Solution: 297 Input: What is the highest common divisor of 357948 and 652? Solution: 652 Input: Calculate the greatest common factor of 20 and 220. Solution: 20 Input: What is the highest common divisor of 51720 and 390? Solution: 30 Input: What is the highest common factor of 18 and 399339? Solution: 9 Input: Calculate the greatest common divisor of 4 and 284. Solution: 4 Input: Calculate the highest common factor of 21510
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numbers: gcd ------------ Qn: Calculate the greatest common factor of 6 and 200067. Calculation: 3 Qn: Calculate the highest common factor of 1806 and 14190. Calculation: 258 Qn: What is the highest common factor of 50809 and 3803173? Calculation: 341 Qn: Calculate the greatest common divisor of 4328081 and 136. Calculation: 17 Qn: Calculate the greatest common divisor of 1 and 25. Calculation: 1 Qn: What is the greatest common factor of 6680 and 280? Calculation: 40 Qn: Calculate the greatest common factor of 247605 and 5. Calculation: 5 Qn: Calculate the highest common factor of 115 and 8269213. Calculation: 23 Qn: What is the greatest common divisor of 38 and 3717958? Calculation: 38 Qn: Calculate the greatest common divisor of 2993683 and 952. Calculation: 119 Qn: What is the highest common factor of 6336 and 3744? Calculation: 288 Qn: Calculate the highest common factor of 4 and 200. Calculation: 4 Qn: Calculate the highest common factor of 35 and 721. Calculation: 7 Qn: What is the greatest common divisor of 88 and 2024? Calculation: 88 Qn: What is the highest common factor of 1960 and 35? Calculation: 35 Qn: What is the highest common divisor of 943 and 9223? Calculation: 23 Qn: Calculate the greatest common factor of 56403 and 6. Calculation: 3 Qn: Calculate the greatest common divisor of 416 and 82446. Calculation: 26 Qn: What is the greatest common factor of 4 and 428? Calculation: 4 Qn: What is the highest common divisor of 295 and 40? Calculation: 5 Qn: Calculate the greatest common factor of 166520 and 2645. Calculation: 115 Qn: Calculate the greatest common factor of 116446 and 790. Calculation: 158 Qn: What is the greatest common factor of 1668418555 and 3505? Calculation: 3505 Qn: Calculate the greatest common factor of 164 and 287. Calculation: 41 Qn: What is the highest common divisor of 6504 and 54? Calculation: 6 Qn: What is the greatest common factor of 298420 and 688? Calculation: 172 Qn: What is the greatest common factor of 8592 and 208? Calc
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arithmetic: nearest integer root -------------------------------- Puzzle: What is 2514111 to the power of 1/5, to the nearest integer? Explanation: 19 Puzzle: What is the square root of 2958328905 to the nearest integer? Explanation: 54391 Puzzle: What is 7010386 to the power of 1/2, to the nearest integer? Explanation: 2648 Puzzle: What is the square root of 4188 to the nearest integer? Explanation: 65 Puzzle: What is the square root of 837164182 to the nearest integer? Explanation: 28934 Puzzle: What is the square root of 3601854718 to the nearest integer? Explanation: 60015 Puzzle: What is the tenth root of 417308 to the nearest integer? Explanation: 4 Puzzle: What is 8436688 to the power of 1/3, to the nearest integer? Explanation: 204 Puzzle: What is 64163 to the power of 1/2, to the nearest integer? Explanation: 253 Puzzle: What is 52753403 to the power of 1/3, to the nearest integer? Explanation: 375 Puzzle: What is the fourth root of 57453 to the nearest integer? Explanation: 15 Puzzle: What is 4382280 to the power of 1/2, to the nearest integer? Explanation: 2093 Puzzle: What is 11274 to the power of 1/2, to the nearest integer? Explanation: 106 Puzzle: What is the fifth root of 12199 to the nearest integer? Explanation: 7 Puzzle: What is 167850834 to the power of 1/2, to the nearest integer? Explanation: 12956 Puzzle: What is the cube root of 50862 to the nearest integer? Explanation: 37 Puzzle: What is the square root of 2965 to the nearest integer? Explanation: 54 Puzzle: What is the fourth root of 16137 to the nearest integer? Explanation: 11 Puzzle: What is 409749 to the power of 1/3, to the nearest integer? Explanation: 74 Puzzle: What is the square root of 989 to the nearest integer? Explanation: 31 Puzzle: What is the ninth root of 10267631 to the nearest integer? Explanation: 6 Puzzle: What is 3769177 to the power of 1/10, to the nearest integer? Explanation: 5 Puzzle: What is 320579 to the power of 1/3, to the nearest integer? Explanation: 68 Puzz
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measurement: time ----------------- Item: How many minutes are there between 8:47 PM and 6:36 AM? Answer: 589 Item: How many minutes are there between 11:38 AM and 6:23 PM? Answer: 405 Item: What is 507 minutes after 3:38 PM? Answer: 12:05 AM Item: How many minutes are there between 5:16 PM and 7:54 PM? Answer: 158 Item: How many minutes are there between 7:23 PM and 4:56 AM? Answer: 573 Item: How many minutes are there between 4:06 AM and 9:30 AM? Answer: 324 Item: What is 703 minutes after 11:50 PM? Answer: 11:33 AM Item: What is 624 minutes after 9:38 AM? Answer: 8:02 PM Item: What is 576 minutes before 11:25 AM? Answer: 1:49 AM Item: How many minutes are there between 12:05 AM and 3:48 AM? Answer: 223 Item: How many minutes are there between 8:56 AM and 7:20 PM? Answer: 624 Item: How many minutes are there between 3:11 AM and 8:28 AM? Answer: 317 Item: How many minutes are there between 1:00 AM and 7:16 AM? Answer: 376 Item: What is 676 minutes after 2:45 AM? Answer: 2:01 PM Item: What is 491 minutes before 8:20 AM? Answer: 12:09 AM Item: What is 60 minutes after 1:28 AM? Answer: 2:28 AM Item: How many minutes are there between 1:53 AM and 12:34 PM? Answer: 641 Item: How many minutes are there between 3:47 AM and 5:55 AM? Answer: 128 Item: How many minutes are there between 3:50 PM and 6:19 PM? Answer: 149 Item: What is 111 minutes after 8:34 AM? Answer: 10:25 AM Item: What is 217 minutes after 8:29 PM? Answer: 12:06 AM Item: How many minutes are there between 5:21 PM and 6:57 PM? Answer: 96 Item: What is 211 minutes after 10:44 AM? Answer: 2:15 PM Item: How many minutes are there between 3:34 PM and 10:00 PM? Answer: 386 Item: How many minutes are there between 1:02 PM and 11:25 PM? Answer: 623 Item: What is 631 minutes after 9:14 PM? Answer: 7:45 AM Item: How many minutes are there between 9:49 AM and 4:45 PM? Answer: 416 Item: What is 38 minutes before 11:43 AM? Answer: 11:05 AM Item: How many minutes are there between 8:39 AM and 3:24 PM? Answer: 405 Item: H
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measurement: conversion ----------------------- Exercise: How many minutes are there in fourty-two fifths of a hour? Solution: 504 Exercise: What is 15.78976 centuries in years? Solution: 1578.976 Exercise: What is 82.8862 litres in millilitres? Solution: 82886.2 Exercise: How many litres are there in 0.117069ml? Solution: 0.000117069 Exercise: What is 0.9969764 nanometers in millimeters? Solution: 0.0000009969764 Exercise: What is 13.34168 litres in millilitres? Solution: 13341.68 Exercise: How many days are there in 0.1316886 hours? Solution: 0.005487025 Exercise: What is 29/2 of a tonne in kilograms? Solution: 14500 Exercise: What is 3.60292 litres in millilitres? Solution: 3602.92 Exercise: How many kilograms are there in 1/5 of a tonne? Solution: 200 Exercise: How many millilitres are there in 13/5 of a litre? Solution: 2600 Exercise: How many micrograms are there in 21/4 of a milligram? Solution: 5250 Exercise: What is 364.1698ng in tonnes? Solution: 0.0000000000003641698 Exercise: What is 925.9179 micrometers in millimeters? Solution: 0.9259179 Exercise: Convert 72693.126 seconds to days. Solution: 0.841355625 Exercise: What is 3/25 of a meter in millimeters? Solution: 120 Exercise: What is twenty-one eighths of a litre in millilitres? Solution: 2625 Exercise: How many nanometers are there in 3/5 of a micrometer? Solution: 600 Exercise: What is 1/4 of a litre in millilitres? Solution: 250 Exercise: Convert 7.009137 months to decades. Solution: 0.058409475 Exercise: Convert 52634.7ns to milliseconds. Solution: 0.0526347 Exercise: What is twenty-five quarters of a tonne in kilograms? Solution: 6250 Exercise: What is 7/8 of a micrometer in nanometers? Solution: 875 Exercise: What is 17/4 of a millennium in decades? Solution: 425 Exercise: What is 1/5 of a litre in millilitres? Solution: 200 Exercise: How many years are there in 3/5 of a millennium? Solution: 600 Exercise: What is 17/7 of a week in minutes? Solution: 24480 Exercise: Convert 56781.79 millennia to
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probability: swr p level set ---------------------------- Request: Two letters picked without replacement from hhvbvvbvvhbhmbbvb. What is prob of picking 1 b and 1 m? Ans: 3/68 Request: Two letters picked without replacement from {l: 2, z: 3, y: 4}. What is prob of picking 2 y? Ans: 1/6 Request: Calculate prob of picking 1 f, 1 p, and 1 s when three letters picked without replacement from {s: 1, w: 1, k: 11, p: 2, f: 1}. Ans: 1/280 Request: Three letters picked without replacement from {e: 2, x: 3, b: 3, r: 1, m: 1, d: 1}. What is prob of picking 2 x and 1 e? Ans: 2/55 Request: Two letters picked without replacement from {u: 8, y: 5}. What is prob of picking 2 u? Ans: 14/39 Request: Calculate prob of picking 1 l and 2 c when three letters picked without replacement from {c: 9, l: 10}. Ans: 120/323 Request: Two letters picked without replacement from {u: 1, h: 2, b: 1, r: 1, o: 1, q: 1}. What is prob of picking 1 q and 1 r? Ans: 1/21 Request: Two letters picked without replacement from {o: 4, y: 2}. Give prob of picking 1 o and 1 y. Ans: 8/15 Request: What is prob of picking 3 t when three letters picked without replacement from lttwwautatltwuawwl? Ans: 5/408 Request: Calculate prob of picking 1 w, 1 v, and 2 g when four letters picked without replacement from {v: 1, e: 2, p: 4, f: 3, w: 2, g: 2}. Ans: 2/1001 Request: What is prob of picking 1 x, 1 l, and 1 z when three letters picked without replacement from bxvvvxzxxlvv? Ans: 1/55 Request: Four letters picked without replacement from {t: 8, s: 3, c: 2, a: 2, x: 5}. What is prob of picking 3 x and 1 a? Ans: 4/969 Request: Calculate prob of picking 1 k, 2 j, and 1 m when four letters picked without replacement from jmkmjmmkjmjkm. Ans: 108/715 Request: Three letters picked without replacement from flffflflflvlfvl. Give prob of picking 2 v and 1 f. Ans: 1/65 Request: What is prob of picking 4 g when four letters picked without replacement from ggggggggggxggggggg? Ans: 7/9 Request: What is prob of picking 4 e when four
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numbers: div remainder ---------------------- Issue: What is the remainder when 272 is divided by 259? Result: 13 Issue: What is the remainder when 16959414 is divided by 16959406? Result: 8 Issue: What is the remainder when 13543 is divided by 1229? Result: 24 Issue: Calculate the remainder when 244 is divided by 240. Result: 4 Issue: What is the remainder when 1866045 is divided by 195? Result: 90 Issue: What is the remainder when 152597159 is divided by 3320? Result: 3319 Issue: Calculate the remainder when 1812296 is divided by 110. Result: 46 Issue: Calculate the remainder when 5471 is divided by 152. Result: 151 Issue: Calculate the remainder when 178440967 is divided by 2458. Result: 2457 Issue: What is the remainder when 10564 is divided by 43? Result: 29 Issue: What is the remainder when 28907 is divided by 8? Result: 3 Issue: What is the remainder when 2211 is divided by 28? Result: 27 Issue: Calculate the remainder when 92 is divided by 48. Result: 44 Issue: Calculate the remainder when 3515 is divided by 390. Result: 5 Issue: What is the remainder when 459420 is divided by 86? Result: 8 Issue: What is the remainder when 226371 is divided by 16168? Result: 19 Issue: Calculate the remainder when 73470219 is divided by 16. Result: 11 Issue: Calculate the remainder when 8708 is divided by 415. Result: 408 Issue: Calculate the remainder when 6991 is divided by 21. Result: 19 Issue: Calculate the remainder when 23879997 is divided by 7959864. Result: 405 Issue: Calculate the remainder when 7113023 is divided by 64. Result: 63 Issue: What is the remainder when 9073 is divided by 41? Result: 12 Issue: Calculate the remainder when 131203 is divided by 66. Result: 61 Issue: Calculate the remainder when 531 is divided by 48. Result: 3 Issue: Calculate the remainder when 166853 is divided by 207. Result: 11 Issue: What is the remainder when 462 is divided by 56? Result: 14 Issue: What is the remainder when 36081 is divided by 3006? Result: 9 Issue: What is the remai
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numbers: gcd ------------ Question: What is the highest common divisor of 2009526387 and 66? Outcome: 33 Question: What is the greatest common factor of 6 and 3774? Outcome: 6 Question: What is the highest common divisor of 25799580 and 116? Outcome: 4 Question: What is the greatest common factor of 19560 and 429342? Outcome: 978 Question: What is the highest common factor of 432 and 6192? Outcome: 144 Question: What is the greatest common divisor of 1006 and 601085? Outcome: 503 Question: Calculate the greatest common factor of 1663 and 15171549. Outcome: 1663 Question: What is the highest common factor of 6669 and 1083? Outcome: 57 Question: What is the highest common divisor of 80 and 180? Outcome: 20 Question: Calculate the greatest common factor of 52 and 576706. Outcome: 26 Question: Calculate the highest common factor of 55 and 11. Outcome: 11 Question: What is the greatest common factor of 408 and 11169? Outcome: 51 Question: Calculate the highest common factor of 32918 and 22454. Outcome: 218 Question: What is the highest common divisor of 172923579 and 351? Outcome: 27 Question: Calculate the highest common factor of 2 and 9834982. Outcome: 2 Question: What is the greatest common divisor of 1502300 and 350? Outcome: 50 Question: Calculate the highest common divisor of 9933 and 1046661. Outcome: 231 Question: What is the highest common factor of 133 and 589? Outcome: 19 Question: Calculate the greatest common factor of 193070 and 430. Outcome: 430 Question: What is the greatest common factor of 2227 and 8382952? Outcome: 131 Question: What is the highest common divisor of 1375 and 7338925? Outcome: 275 Question: Calculate the highest common factor of 11 and 3530340. Outcome: 11 Question: Calculate the highest common factor of 18 and 1926. Outcome: 18 Question: Calculate the greatest common factor of 30 and 648. Outcome: 6 Question: What is the highest common divisor of 94570 and 14027240? Outcome: 1930 Question: What is the greatest common divisor of 386875
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numbers: place value -------------------- Prompt: What is the tens digit of 1600527? Soln: 2 Prompt: What is the hundreds digit of 3816587? Soln: 5 Prompt: What is the hundreds digit of 26587855? Soln: 8 Prompt: What is the thousands digit of 167235843? Soln: 5 Prompt: What is the units digit of 94929? Soln: 9 Prompt: What is the hundreds digit of 699? Soln: 6 Prompt: What is the tens digit of 5107105? Soln: 0 Prompt: What is the thousands digit of 1154198978? Soln: 8 Prompt: What is the hundreds digit of 100157872? Soln: 8 Prompt: What is the thousands digit of 4977904? Soln: 7 Prompt: What is the units digit of 6321857322? Soln: 2 Prompt: What is the units digit of 1171? Soln: 1 Prompt: What is the hundred thousands digit of 7294667? Soln: 2 Prompt: What is the hundreds digit of 62388? Soln: 3 Prompt: What is the tens digit of 385557? Soln: 5 Prompt: What is the units digit of 1572? Soln: 2 Prompt: What is the ten thousands digit of 315586? Soln: 1 Prompt: What is the units digit of 11260379? Soln: 9 Prompt: What is the units digit of 944543? Soln: 3 Prompt: What is the tens digit of 5607? Soln: 0 Prompt: What is the millions digit of 1090389797? Soln: 0 Prompt: What is the millions digit of 178453772? Soln: 8 Prompt: What is the tens digit of 9746? Soln: 4 Prompt: What is the tens digit of 24530601? Soln: 0 Prompt: What is the tens digit of 2338? Soln: 3 Prompt: What is the hundred thousands digit of 1394946? Soln: 3 Prompt: What is the thousands digit of 19454594? Soln: 4 Prompt: What is the millions digit of 1710510? Soln: 1 Prompt: What is the tens digit of 3016? Soln: 1 Prompt: What is the ten millions digit of 340494622? Soln: 4 Prompt: What is the units digit of 59705278? Soln: 8 Prompt: What is the units digit of 4500265? Soln: 5 Prompt: What is the units digit of 46786605? Soln: 5 Prompt: What is the hundred thousands digit of 65166798? Soln: 1 Prompt: What is the units digit of 122078? Soln: 8 Prompt: What is the tens digit of 664911? Soln: 1 Prompt: Wha
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numbers: gcd ------------ Subject: Calculate the highest common divisor of 65 and 822627. →: 13 Subject: Calculate the greatest common divisor of 1105 and 1063961405. →: 1105 Subject: Calculate the greatest common factor of 17117172 and 19188. →: 1476 Subject: What is the greatest common divisor of 5710 and 20? →: 10 Subject: Calculate the highest common divisor of 1216 and 57. →: 19 Subject: What is the greatest common divisor of 9498 and 129625538? →: 3166 Subject: Calculate the greatest common factor of 693664 and 1272. →: 424 Subject: What is the greatest common factor of 14 and 63? →: 7 Subject: What is the highest common factor of 35747698 and 518? →: 518 Subject: Calculate the greatest common factor of 456 and 120. →: 24 Subject: Calculate the greatest common divisor of 28 and 130012. →: 4 Subject: What is the greatest common factor of 13579785 and 5? →: 5 Subject: Calculate the highest common factor of 302018066 and 21. →: 7 Subject: Calculate the highest common divisor of 6255 and 90. →: 45 Subject: Calculate the highest common factor of 75 and 60. →: 15 Subject: What is the highest common divisor of 28 and 52619? →: 7 Subject: Calculate the highest common divisor of 89 and 4183. →: 89 Subject: What is the greatest common factor of 1532 and 822581356? →: 1532 Subject: What is the greatest common factor of 1371531 and 10845? →: 723 Subject: Calculate the highest common factor of 49 and 1225. →: 49 Subject: What is the highest common factor of 12 and 1338? →: 6 Subject: What is the highest common factor of 171 and 3192? →: 57 Subject: What is the greatest common factor of 13459 and 129? →: 43 Subject: What is the greatest common factor of 1700 and 12724? →: 4 Subject: What is the greatest common factor of 2034680 and 120? →: 40 Subject: What is the greatest common divisor of 352 and 10880? →: 32 Subject: What is the greatest common factor of 15498268 and 8016? →: 668 Subject: What is the highest common factor of 264 and 33? →: 33 Subject: Calculate the highes
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numbers: is prime ----------------- Prompt: Is 388258879 a composite number? Response: True Prompt: Is 15971 prime? Response: True Prompt: Is 276298238 composite? Response: True Prompt: Is 41479 prime? Response: True Prompt: Is 139187544919 a prime number? Response: True Prompt: Is 522194671 prime? Response: False Prompt: Is 30703736257 a composite number? Response: True Prompt: Is 11519 composite? Response: False Prompt: Is 227183063 a prime number? Response: False Prompt: Is 706595177 composite? Response: False Prompt: Is 475586633 a composite number? Response: False Prompt: Is 915404447 composite? Response: False Prompt: Is 51263437 a prime number? Response: False Prompt: Is 288677143 prime? Response: True Prompt: Is 1482321971 prime? Response: False Prompt: Is 90142033 a composite number? Response: False Prompt: Is 5469460993 a composite number? Response: False Prompt: Is 2956745641 a prime number? Response: True Prompt: Is 382939 a composite number? Response: False Prompt: Is 209 a composite number? Response: True Prompt: Is 3916721 a prime number? Response: True Prompt: Is 1208503111 a composite number? Response: False Prompt: Is 420379 a prime number? Response: False Prompt: Is 137179 a composite number? Response: True Prompt: Is 10231388731 composite? Response: False Prompt: Is 66733 composite? Response: False Prompt: Is 413519839 prime? Response: True Prompt: Is 34973273 a prime number? Response: True Prompt: Is 88523519 a prime number? Response: False Prompt: Is 709381 composite? Response: False Prompt: Is 231409 prime? Response: True Prompt: Is 78477878 prime? Response: False Prompt: Is 156658720409 composite? Response: True Prompt: Is 386681134555 a composite number? Response: True Prompt: Is 123770783 a composite number? Response: False Prompt: Is 6484780257 a composite number? Response: True Prompt: Is 21583799 a composite number? Response: False Prompt: Is 3516367 prime? Response: True Prompt: Is 2056871 a composite number? Response: True Prompt: Is 2
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arithmetic: nearest integer root -------------------------------- Ask: What is 604901 to the power of 1/2, to the nearest integer? Result: 778 Ask: What is the tenth root of 51341 to the nearest integer? Result: 3 Ask: What is the cube root of 1007268250 to the nearest integer? Result: 1002 Ask: What is the square root of 1695329921 to the nearest integer? Result: 41174 Ask: What is the square root of 50306 to the nearest integer? Result: 224 Ask: What is 466187 to the power of 1/2, to the nearest integer? Result: 683 Ask: What is 1973176 to the power of 1/7, to the nearest integer? Result: 8 Ask: What is 465526 to the power of 1/2, to the nearest integer? Result: 682 Ask: What is the cube root of 777 to the nearest integer? Result: 9 Ask: What is the square root of 550127 to the nearest integer? Result: 742 Ask: What is the cube root of 7113 to the nearest integer? Result: 19 Ask: What is the tenth root of 26706630 to the nearest integer? Result: 6 Ask: What is 10171355 to the power of 1/2, to the nearest integer? Result: 3189 Ask: What is 7419 to the power of 1/4, to the nearest integer? Result: 9 Ask: What is the square root of 524928571 to the nearest integer? Result: 22911 Ask: What is the square root of 741 to the nearest integer? Result: 27 Ask: What is 25651 to the power of 1/9, to the nearest integer? Result: 3 Ask: What is 36078 to the power of 1/2, to the nearest integer? Result: 190 Ask: What is the third root of 131703032 to the nearest integer? Result: 509 Ask: What is the third root of 867 to the nearest integer? Result: 10 Ask: What is the ninth root of 256337820 to the nearest integer? Result: 9 Ask: What is the eighth root of 356077 to the nearest integer? Result: 5 Ask: What is the cube root of 1596 to the nearest integer? Result: 12 Ask: What is 532134 to the power of 1/10, to the nearest integer? Result: 4 Ask: What is 3187 to the power of 1/2, to the nearest integer? Result: 56 Ask: What is 470088 to the power of 1/3, to the nearest integer? Re
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measurement: time ----------------- Issue: How many minutes are there between 4:10 PM and 12:26 AM? Interpretation: 496 Issue: What is 251 minutes before 8:55 PM? Interpretation: 4:44 PM Issue: What is 387 minutes before 2:50 AM? Interpretation: 8:23 PM Issue: What is 53 minutes after 11:10 AM? Interpretation: 12:03 PM Issue: What is 203 minutes after 11:54 PM? Interpretation: 3:17 AM Issue: What is 468 minutes after 9:12 AM? Interpretation: 5:00 PM Issue: How many minutes are there between 4:18 PM and 6:42 PM? Interpretation: 144 Issue: How many minutes are there between 9:42 PM and 2:07 AM? Interpretation: 265 Issue: What is 628 minutes before 6:53 PM? Interpretation: 8:25 AM Issue: How many minutes are there between 4:46 PM and 7:52 PM? Interpretation: 186 Issue: What is 535 minutes after 5:26 PM? Interpretation: 2:21 AM Issue: How many minutes are there between 12:49 PM and 1:38 PM? Interpretation: 49 Issue: What is 624 minutes after 6:20 PM? Interpretation: 4:44 AM Issue: How many minutes are there between 10:43 AM and 6:31 PM? Interpretation: 468 Issue: What is 286 minutes after 6:51 AM? Interpretation: 11:37 AM Issue: What is 250 minutes before 5:23 AM? Interpretation: 1:13 AM Issue: How many minutes are there between 12:02 PM and 4:54 PM? Interpretation: 292 Issue: How many minutes are there between 2:28 PM and 6:19 PM? Interpretation: 231 Issue: How many minutes are there between 8:33 AM and 5:23 PM? Interpretation: 530 Issue: How many minutes are there between 9:20 AM and 1:24 PM? Interpretation: 244 Issue: How many minutes are there between 9:31 AM and 7:54 PM? Interpretation: 623 Issue: What is 270 minutes after 4:05 AM? Interpretation: 8:35 AM Issue: How many minutes are there between 4:01 AM and 10:47 AM? Interpretation: 406 Issue: How many minutes are there between 3:01 PM and 7:16 PM? Interpretation: 255 Issue: How many minutes are there between 12:19 AM and 3:33 AM? Interpretation: 194 Issue: How many minutes are there between 4:59 PM and 5:59 PM? I
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probability: swr p level set ---------------------------- Subject: What is prob of picking 1 m and 1 x when two letters picked without replacement from ydgdyddmyyyddddydddx? Solution: 1/190 Subject: Calculate prob of picking 1 f, 1 s, and 2 z when four letters picked without replacement from {z: 2, w: 2, f: 4, s: 1, u: 1}. Solution: 2/105 Subject: Three letters picked without replacement from vaukvvvnxauuxvv. Give prob of picking 1 u, 1 k, and 1 v. Solution: 18/455 Subject: Calculate prob of picking 1 f and 3 g when four letters picked without replacement from gfggff. Solution: 1/5 Subject: Calculate prob of picking 3 w when three letters picked without replacement from {n: 1, p: 6, w: 4}. Solution: 4/165 Subject: Three letters picked without replacement from {l: 1, a: 1, m: 1, o: 2, d: 1, q: 1}. What is prob of picking 1 a, 1 l, and 1 d? Solution: 1/35 Subject: Two letters picked without replacement from {p: 1, c: 2, i: 1, j: 1, l: 1, y: 1}. Give prob of picking 1 p and 1 j. Solution: 1/21 Subject: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {y: 11, x: 2, k: 7}. Solution: 7/95 Subject: Two letters picked without replacement from {q: 3, x: 2, y: 1, r: 4, k: 3, d: 4}. Give prob of picking 1 d and 1 y. Solution: 1/34 Subject: What is prob of picking 1 q and 1 e when two letters picked without replacement from {w: 7, r: 1, e: 3, s: 4, q: 1, j: 2}? Solution: 1/51 Subject: Three letters picked without replacement from {e: 1, b: 1, x: 2, t: 1, h: 2}. What is prob of picking 2 x and 1 b? Solution: 1/35 Subject: What is prob of picking 1 n and 3 m when four letters picked without replacement from {n: 2, m: 4}? Solution: 8/15 Subject: Calculate prob of picking 3 i and 1 v when four letters picked without replacement from {l: 4, d: 11, i: 3, v: 1}. Solution: 1/3876 Subject: What is prob of picking 3 l when three letters picked without replacement from {z: 5, c: 5, l: 6, m: 1}? Solution: 1/34 Subject: What is prob of picking 2 h when
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measurement: time ----------------- Subject: How many minutes are there between 2:15 AM and 11:53 AM? Math A: 578 Subject: What is 428 minutes before 4:55 AM? Math A: 9:47 PM Subject: What is 289 minutes after 4:30 AM? Math A: 9:19 AM Subject: What is 50 minutes before 1:29 PM? Math A: 12:39 PM Subject: What is 295 minutes before 8:49 PM? Math A: 3:54 PM Subject: How many minutes are there between 10:50 AM and 3:54 PM? Math A: 304 Subject: What is 6 minutes before 8:48 PM? Math A: 8:42 PM Subject: What is 664 minutes after 12:39 PM? Math A: 11:43 PM Subject: How many minutes are there between 9:37 AM and 6:57 PM? Math A: 560 Subject: What is 662 minutes after 6:18 PM? Math A: 5:20 AM Subject: How many minutes are there between 11:44 AM and 2:36 PM? Math A: 172 Subject: How many minutes are there between 9:46 PM and 4:28 AM? Math A: 402 Subject: What is 191 minutes after 12:57 AM? Math A: 4:08 AM Subject: What is 611 minutes before 1:25 PM? Math A: 3:14 AM Subject: How many minutes are there between 1:32 AM and 1:14 PM? Math A: 702 Subject: How many minutes are there between 10:15 AM and 12:44 PM? Math A: 149 Subject: How many minutes are there between 10:57 PM and 11:46 PM? Math A: 49 Subject: What is 149 minutes before 7:03 AM? Math A: 4:34 AM Subject: What is 399 minutes before 12:53 AM? Math A: 6:14 PM Subject: How many minutes are there between 2:46 AM and 3:25 AM? Math A: 39 Subject: How many minutes are there between 1:30 AM and 1:41 AM? Math A: 11 Subject: What is 556 minutes after 2:40 AM? Math A: 11:56 AM Subject: What is 404 minutes after 8:45 AM? Math A: 3:29 PM Subject: How many minutes are there between 3:41 AM and 8:15 AM? Math A: 274 Subject: What is 376 minutes after 4:42 PM? Math A: 10:58 PM Subject: How many minutes are there between 4:17 PM and 7:22 PM? Math A: 185 Subject: What is 491 minutes before 8:52 AM? Math A: 12:41 AM Subject: What is 38 minutes before 2:28 PM? Math A: 1:50 PM Subject: How many minutes are there between 4:11 AM and 8:36 AM
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numbers: is factor ------------------ Query: Is 378860 a multiple of 19? Output: True Query: Is 4326530 a multiple of 230? Output: True Query: Is 297555 a multiple of 120? Output: False Query: Does 4 divide 145? Output: False Query: Is 9 a factor of 927? Output: True Query: Is 106 a factor of 2650? Output: True Query: Is 24 a factor of 12075614? Output: False Query: Is 63 a factor of 21168? Output: True Query: Is 150340 a multiple of 249? Output: False Query: Is 63445 a multiple of 5? Output: True Query: Does 33 divide 109355103? Output: True Query: Is 3215 a multiple of 119? Output: False Query: Is 2256960618 a multiple of 26? Output: False Query: Is 16599 a multiple of 125? Output: False Query: Is 37337 a multiple of 132? Output: False Query: Does 233 divide 3630368987? Output: False Query: Is 199 a factor of 183677? Output: True Query: Does 116 divide 56028? Output: True Query: Does 61 divide 4875? Output: False Query: Does 7 divide 11588941? Output: True Query: Is 307715023 a multiple of 181? Output: True Query: Is 12 a factor of 684? Output: True Query: Is 42677 a multiple of 2? Output: False Query: Is 1294 a multiple of 7? Output: False Query: Is 280 a multiple of 40? Output: True Query: Does 8 divide 4751230672? Output: True Query: Does 5 divide 334348630? Output: True Query: Is 139215 a multiple of 21? Output: False Query: Is 9 a factor of 36739350? Output: True Query: Is 30403 a multiple of 304? Output: False Query: Is 200308095 a multiple of 39? Output: True Query: Does 45 divide 6650061? Output: False Query: Is 854 a multiple of 14? Output: True Query: Is 163 a multiple of 5? Output: False Query: Is 24 a factor of 20317586? Output: False Query: Does 9 divide 928? Output: False Query: Does 106 divide 38997426? Output: False Query: Does 7 divide 1761? Output: False Query: Is 75551356 a multiple of 15? Output: False Query: Is 8 a factor of 96921? Output: False Query: Does 18 divide 4331? Output: False Query: Is 19 a factor of 1514? Output: False Query: Is 26
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numbers: is prime ----------------- Exercise: Is 12914411 a prime number? Gives: False Exercise: Is 25034 a prime number? Gives: False Exercise: Is 86946901 a prime number? Gives: False Exercise: Is 7073141 prime? Gives: False Exercise: Is 58435609 a composite number? Gives: True Exercise: Is 333064657 a prime number? Gives: False Exercise: Is 5051 a prime number? Gives: True Exercise: Is 2728658363 a composite number? Gives: True Exercise: Is 415597738 a prime number? Gives: False Exercise: Is 189240395 a prime number? Gives: False Exercise: Is 251123 composite? Gives: True Exercise: Is 6737 prime? Gives: True Exercise: Is 140039909 composite? Gives: False Exercise: Is 455309 a prime number? Gives: True Exercise: Is 604314197 a composite number? Gives: True Exercise: Is 8006329 a prime number? Gives: True Exercise: Is 445931 prime? Gives: True Exercise: Is 6089 a composite number? Gives: False Exercise: Is 48194962399 a composite number? Gives: True Exercise: Is 1746773 prime? Gives: False Exercise: Is 46195063 prime? Gives: False Exercise: Is 374627 composite? Gives: True Exercise: Is 36489503 prime? Gives: False Exercise: Is 129060247 prime? Gives: False Exercise: Is 5809455341 a composite number? Gives: False Exercise: Is 42771544063 a prime number? Gives: True Exercise: Is 1308955 composite? Gives: True Exercise: Is 1410359329 a prime number? Gives: False Exercise: Is 308914339 prime? Gives: False Exercise: Is 305717 a composite number? Gives: False Exercise: Is 78827 a prime number? Gives: False Exercise: Is 107411791 a prime number? Gives: False Exercise: Is 12855120581 a composite number? Gives: False Exercise: Is 717307397 a prime number? Gives: True Exercise: Is 513388591 a composite number? Gives: True Exercise: Is 23443991 a prime number? Gives: False Exercise: Is 53 a prime number? Gives: True Exercise: Is 1119819 a prime number? Gives: False Exercise: Is 95268997 a prime number? Gives: True Exercise: Is 36181 composite? Gives: True Exercise: Is 9935069
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arithmetic: nearest integer root -------------------------------- Task: What is the tenth root of 82944 to the nearest integer? Calculation: 3 Task: What is 54095 to the power of 1/5, to the nearest integer? Calculation: 9 Task: What is the square root of 40048668 to the nearest integer? Calculation: 6328 Task: What is the seventh root of 21189 to the nearest integer? Calculation: 4 Task: What is the cube root of 2097249 to the nearest integer? Calculation: 128 Task: What is the cube root of 563 to the nearest integer? Calculation: 8 Task: What is 71449 to the power of 1/3, to the nearest integer? Calculation: 41 Task: What is the square root of 848432 to the nearest integer? Calculation: 921 Task: What is 132059 to the power of 1/5, to the nearest integer? Calculation: 11 Task: What is 10644254 to the power of 1/4, to the nearest integer? Calculation: 57 Task: What is the third root of 7397 to the nearest integer? Calculation: 19 Task: What is the cube root of 284142 to the nearest integer? Calculation: 66 Task: What is the seventh root of 1444670592 to the nearest integer? Calculation: 20 Task: What is 1224 to the power of 1/5, to the nearest integer? Calculation: 4 Task: What is 538 to the power of 1/2, to the nearest integer? Calculation: 23 Task: What is the seventh root of 4748042 to the nearest integer? Calculation: 9 Task: What is 395085 to the power of 1/6, to the nearest integer? Calculation: 9 Task: What is 1790 to the power of 1/9, to the nearest integer? Calculation: 2 Task: What is the cube root of 5765320 to the nearest integer? Calculation: 179 Task: What is 41886008 to the power of 1/2, to the nearest integer? Calculation: 6472 Task: What is 889 to the power of 1/4, to the nearest integer? Calculation: 5 Task: What is 50371 to the power of 1/8, to the nearest integer? Calculation: 4 Task: What is 1312221510 to the power of 1/2, to the nearest integer? Calculation: 36225 Task: What is 201090213 to the power of 1/7, to the nearest integer? Calculation
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numbers: place value -------------------- Qn: What is the ten thousands digit of 5212572591? Soln: 7 Qn: What is the tens digit of 3153? Soln: 5 Qn: What is the millions digit of 508264379? Soln: 8 Qn: What is the thousands digit of 942950? Soln: 2 Qn: What is the thousands digit of 14417369? Soln: 7 Qn: What is the hundreds digit of 2868? Soln: 8 Qn: What is the hundreds digit of 29647199? Soln: 1 Qn: What is the tens digit of 27610067? Soln: 6 Qn: What is the ten thousands digit of 35489? Soln: 3 Qn: What is the hundreds digit of 202033393? Soln: 3 Qn: What is the hundred millions digit of 263253288? Soln: 2 Qn: What is the ten thousands digit of 43406? Soln: 4 Qn: What is the hundreds digit of 475? Soln: 4 Qn: What is the thousands digit of 320706? Soln: 0 Qn: What is the hundred millions digit of 982052075? Soln: 9 Qn: What is the units digit of 58581? Soln: 1 Qn: What is the units digit of 663358? Soln: 8 Qn: What is the hundred thousands digit of 100396? Soln: 1 Qn: What is the hundreds digit of 417173? Soln: 1 Qn: What is the millions digit of 32037156? Soln: 2 Qn: What is the millions digit of 44420249? Soln: 4 Qn: What is the hundreds digit of 3352? Soln: 3 Qn: What is the hundreds digit of 469732119? Soln: 1 Qn: What is the thousands digit of 2395? Soln: 2 Qn: What is the units digit of 7112? Soln: 2 Qn: What is the ten millions digit of 518546251? Soln: 1 Qn: What is the hundreds digit of 992? Soln: 9 Qn: What is the tens digit of 129? Soln: 2 Qn: What is the hundreds digit of 4656? Soln: 6 Qn: What is the tens digit of 880? Soln: 8 Qn: What is the hundreds digit of 7816? Soln: 8 Qn: What is the ten thousands digit of 128427? Soln: 2 Qn: What is the units digit of 3989? Soln: 9 Qn: What is the ten millions digit of 230422902? Soln: 3 Qn: What is the ten thousands digit of 3024917107? Soln: 1 Qn: What is the hundreds digit of 206? Soln: 2 Qn: What is the hundreds digit of 85664486? Soln: 4 Qn: What is the ten thousands digit of 1062003162? Soln: 0 Qn: What
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measurement: conversion ----------------------- Example: Convert 6.078861 minutes to nanoseconds. Eval: 364731660000 Example: How many millilitres are there in 11/2 of a litre? Eval: 5500 Example: What is 8/3 of a year in months? Eval: 32 Example: How many millilitres are there in 3/10 of a litre? Eval: 300 Example: Convert 7027.144t to nanograms. Eval: 7027144000000000000 Example: What is 20912.9kg in micrograms? Eval: 20912900000000 Example: How many millilitres are there in 6/5 of a litre? Eval: 1200 Example: Convert 14.23814 millimeters to nanometers. Eval: 14238140 Example: Convert 38103.11 years to centuries. Eval: 381.0311 Example: How many milliseconds are there in 46.3718 minutes? Eval: 2782308 Example: What is one fifth of a decade in years? Eval: 2 Example: How many micrometers are there in 0.549752mm? Eval: 549.752 Example: Convert 19219.338 months to millennia. Eval: 1.6016115 Example: Convert 6.152818nm to millimeters. Eval: 0.000006152818 Example: What is 41452.33l in millilitres? Eval: 41452330 Example: How many years are there in five quarters of a millennium? Eval: 1250 Example: How many months are there in 5/4 of a century? Eval: 1500 Example: What is 3/8 of a millennium in months? Eval: 4500 Example: How many hours are there in 10/21 of a week? Eval: 80 Example: How many millilitres are there in 28954.25l? Eval: 28954250 Example: What is 7/2 of a tonne in kilograms? Eval: 3500 Example: How many millilitres are there in 6/25 of a litre? Eval: 240 Example: What is 49220.88 decades in millennia? Eval: 492.2088 Example: What is 446.867 centimeters in meters? Eval: 4.46867 Example: How many decades are there in six fifths of a millennium? Eval: 120 Example: What is 8.584606l in millilitres? Eval: 8584.606 Example: What is 7/2 of a minute in seconds? Eval: 210 Example: What is 43/2 of a decade in years? Eval: 215 Example: Convert 430709.4ns to milliseconds. Eval: 0.4307094 Example: How many litres are there in 0.5220603 millilitres? Eval: 0.0005220603
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numbers: gcd ------------ Conundrum: What is the highest common factor of 2403204 and 9024? Result: 564 Conundrum: Calculate the highest common divisor of 80 and 520. Result: 40 Conundrum: What is the greatest common factor of 561 and 153? Result: 51 Conundrum: Calculate the greatest common factor of 336 and 10247503. Result: 7 Conundrum: What is the greatest common factor of 3509 and 5350499? Result: 121 Conundrum: Calculate the highest common factor of 142756 and 21538. Result: 178 Conundrum: Calculate the greatest common divisor of 135 and 3975. Result: 15 Conundrum: Calculate the highest common divisor of 129656 and 1672. Result: 152 Conundrum: What is the greatest common factor of 17127 and 57712281? Result: 5709 Conundrum: Calculate the highest common divisor of 7571 and 2960374. Result: 113 Conundrum: What is the highest common divisor of 976 and 75856? Result: 16 Conundrum: What is the highest common divisor of 52818116 and 802? Result: 802 Conundrum: What is the highest common divisor of 33264 and 9? Result: 9 Conundrum: Calculate the highest common factor of 3276 and 312. Result: 156 Conundrum: What is the greatest common factor of 370 and 2146? Result: 74 Conundrum: What is the highest common divisor of 105 and 280? Result: 35 Conundrum: What is the greatest common factor of 280 and 180? Result: 20 Conundrum: What is the greatest common divisor of 24 and 2351038992? Result: 24 Conundrum: What is the greatest common factor of 122 and 102461761? Result: 61 Conundrum: What is the greatest common divisor of 592 and 48? Result: 16 Conundrum: Calculate the highest common divisor of 33 and 253. Result: 11 Conundrum: Calculate the greatest common factor of 1515 and 6965970. Result: 1515 Conundrum: Calculate the highest common divisor of 3380 and 112440380. Result: 260 Conundrum: Calculate the greatest common factor of 25512 and 48. Result: 24 Conundrum: What is the greatest common divisor of 519 and 2718? Result: 3 Conundrum: Calculate the greatest common divisor
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numbers: is prime ----------------- Problem: Is 13804057 a composite number? Therefore: False Problem: Is 3183719831 a composite number? Therefore: True Problem: Is 40520452627 prime? Therefore: True Problem: Is 11914264027 a composite number? Therefore: False Problem: Is 85010059 composite? Therefore: True Problem: Is 905 a composite number? Therefore: True Problem: Is 8843 a composite number? Therefore: True Problem: Is 236969 prime? Therefore: False Problem: Is 55733 composite? Therefore: False Problem: Is 995081 composite? Therefore: False Problem: Is 46259 a composite number? Therefore: True Problem: Is 9278371 a composite number? Therefore: True Problem: Is 1364746709 composite? Therefore: False Problem: Is 34818254 prime? Therefore: False Problem: Is 83195243 a composite number? Therefore: True Problem: Is 14139293797 a composite number? Therefore: True Problem: Is 13056361 composite? Therefore: True Problem: Is 58477 a composite number? Therefore: False Problem: Is 198423958 prime? Therefore: False Problem: Is 40609 a composite number? Therefore: False Problem: Is 18593 composite? Therefore: False Problem: Is 571213 composite? Therefore: True Problem: Is 7480189 composite? Therefore: True Problem: Is 72395 prime? Therefore: False Problem: Is 146279 a composite number? Therefore: True Problem: Is 153765961 prime? Therefore: True Problem: Is 4765791047 a composite number? Therefore: True Problem: Is 81431 composite? Therefore: True Problem: Is 819209 a composite number? Therefore: True Problem: Is 1336942 a composite number? Therefore: True Problem: Is 93722407 composite? Therefore: False Problem: Is 434107 composite? Therefore: False Problem: Is 6794357 prime? Therefore: True Problem: Is 279103 prime? Therefore: False Problem: Is 3011093149 prime? Therefore: True Problem: Is 1005345141 composite? Therefore: True Problem: Is 2052651 prime? Therefore: False Problem: Is 10378 prime? Therefore: False Problem: Is 60974215829 composite? Therefore: True Problem: Is
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numbers: div remainder ---------------------- Q-: What is the remainder when 60 is divided by 39? Interpretation: 21 Q-: What is the remainder when 3350 is divided by 168? Interpretation: 158 Q-: Calculate the remainder when 2188616 is divided by 1157. Interpretation: 729 Q-: What is the remainder when 109616 is divided by 58? Interpretation: 54 Q-: Calculate the remainder when 234 is divided by 34. Interpretation: 30 Q-: What is the remainder when 1142 is divided by 22? Interpretation: 20 Q-: What is the remainder when 4101 is divided by 1364? Interpretation: 9 Q-: Calculate the remainder when 24669 is divided by 271. Interpretation: 8 Q-: What is the remainder when 52 is divided by 48? Interpretation: 4 Q-: What is the remainder when 1748 is divided by 357? Interpretation: 320 Q-: What is the remainder when 165 is divided by 22? Interpretation: 11 Q-: Calculate the remainder when 1738250 is divided by 2845. Interpretation: 2800 Q-: What is the remainder when 7306423 is divided by 2435474? Interpretation: 1 Q-: What is the remainder when 32423 is divided by 7256? Interpretation: 3399 Q-: What is the remainder when 137 is divided by 55? Interpretation: 27 Q-: What is the remainder when 380509 is divided by 504? Interpretation: 493 Q-: Calculate the remainder when 10023 is divided by 11. Interpretation: 2 Q-: Calculate the remainder when 2239 is divided by 70. Interpretation: 69 Q-: Calculate the remainder when 514 is divided by 14. Interpretation: 10 Q-: Calculate the remainder when 4853 is divided by 135. Interpretation: 128 Q-: Calculate the remainder when 40 is divided by 14. Interpretation: 12 Q-: What is the remainder when 433 is divided by 35? Interpretation: 13 Q-: Calculate the remainder when 1598556 is divided by 1794. Interpretation: 102 Q-: Calculate the remainder when 211243978 is divided by 379. Interpretation: 369 Q-: Calculate the remainder when 5693 is divided by 171. Interpretation: 50 Q-: What is the remainder when 1483276 is divided by 494423? Int
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numbers: place value -------------------- Part A: What is the millions digit of 4478389? Reply: 4 Part A: What is the hundred thousands digit of 3782168396? Reply: 1 Part A: What is the tens digit of 128? Reply: 2 Part A: What is the millions digit of 67649870? Reply: 7 Part A: What is the hundred thousands digit of 242154? Reply: 2 Part A: What is the hundred thousands digit of 487604? Reply: 4 Part A: What is the hundred thousands digit of 1869669620? Reply: 6 Part A: What is the tens digit of 1085? Reply: 8 Part A: What is the hundreds digit of 37081? Reply: 0 Part A: What is the ten thousands digit of 35319? Reply: 3 Part A: What is the millions digit of 15288757? Reply: 5 Part A: What is the hundreds digit of 44002917? Reply: 9 Part A: What is the tens digit of 1054783608? Reply: 0 Part A: What is the units digit of 5275? Reply: 5 Part A: What is the hundreds digit of 4428535? Reply: 5 Part A: What is the tens digit of 1771? Reply: 7 Part A: What is the millions digit of 581484607? Reply: 1 Part A: What is the millions digit of 7876612? Reply: 7 Part A: What is the hundreds digit of 33643? Reply: 6 Part A: What is the billions digit of 1276834954? Reply: 1 Part A: What is the hundreds digit of 1493125? Reply: 1 Part A: What is the ten thousands digit of 95554? Reply: 9 Part A: What is the hundreds digit of 40614? Reply: 6 Part A: What is the tens digit of 4794738564? Reply: 6 Part A: What is the hundreds digit of 18671385? Reply: 3 Part A: What is the units digit of 17915375? Reply: 5 Part A: What is the ten millions digit of 41919748? Reply: 4 Part A: What is the thousands digit of 8404? Reply: 8 Part A: What is the tens digit of 665855188? Reply: 8 Part A: What is the hundred thousands digit of 638912665? Reply: 9 Part A: What is the billions digit of 1675827228? Reply: 1 Part A: What is the units digit of 994814? Reply: 4 Part A: What is the hundred thousands digit of 3347447? Reply: 3 Part A: What is the ten thousands digit of 14503? Reply: 1 Part A: What i
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probability: swr p sequence --------------------------- Challenge: Four letters picked without replacement from sssssswswwswsswsss. What is prob of sequence swss? Sol: 143/1224 Challenge: Four letters picked without replacement from {c: 2, b: 2, y: 1, m: 6, u: 1, t: 3}. Give prob of sequence ctbb. Sol: 1/2730 Challenge: Four letters picked without replacement from {p: 6, b: 5, z: 3, u: 1}. What is prob of sequence bbzz? Sol: 1/273 Challenge: What is prob of sequence xxxo when four letters picked without replacement from xxoxxo? Sol: 2/15 Challenge: Two letters picked without replacement from {g: 2, p: 3, v: 12}. What is prob of sequence gg? Sol: 1/136 Challenge: What is prob of sequence rj when two letters picked without replacement from {r: 1, j: 3}? Sol: 1/4 Challenge: Calculate prob of sequence fy when two letters picked without replacement from {c: 3, y: 1, f: 3}. Sol: 1/14 Challenge: Three letters picked without replacement from pfkjffjtjkpdkdfkkdjk. Give prob of sequence fdd. Sol: 1/285 Challenge: Two letters picked without replacement from {t: 3, b: 1, p: 2, l: 1, m: 3}. Give prob of sequence bp. Sol: 1/45 Challenge: Two letters picked without replacement from vipvp. Give prob of sequence iv. Sol: 1/10 Challenge: Three letters picked without replacement from fecmy. What is prob of sequence yey? Sol: 0 Challenge: Calculate prob of sequence zz when two letters picked without replacement from {s: 1, w: 3, x: 1, z: 2}. Sol: 1/21 Challenge: Two letters picked without replacement from {w: 7, p: 7}. Give prob of sequence ww. Sol: 3/13 Challenge: What is prob of sequence ee when two letters picked without replacement from {x: 1, e: 17}? Sol: 8/9 Challenge: What is prob of sequence dhh when three letters picked without replacement from {h: 3, d: 4}? Sol: 4/35 Challenge: Calculate prob of sequence ae when two letters picked without replacement from eaaeaaaa. Sol: 3/14 Challenge: Calculate prob of sequence fs when two letters picked without replacement from {p: 9, s: 1,
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numbers: div remainder ---------------------- Puzzle: Calculate the remainder when 2775734 is divided by 20. Hence: 14 Puzzle: Calculate the remainder when 2361546 is divided by 644. Hence: 642 Puzzle: Calculate the remainder when 351892 is divided by 2787. Hence: 730 Puzzle: What is the remainder when 10303 is divided by 304? Hence: 271 Puzzle: What is the remainder when 337 is divided by 277? Hence: 60 Puzzle: What is the remainder when 6369881 is divided by 40062? Hence: 23 Puzzle: Calculate the remainder when 2206126 is divided by 159. Hence: 1 Puzzle: Calculate the remainder when 109 is divided by 57. Hence: 52 Puzzle: What is the remainder when 9522 is divided by 793? Hence: 6 Puzzle: Calculate the remainder when 8346 is divided by 418. Hence: 404 Puzzle: What is the remainder when 357321 is divided by 7003? Hence: 168 Puzzle: Calculate the remainder when 945 is divided by 6. Hence: 3 Puzzle: What is the remainder when 636 is divided by 72? Hence: 60 Puzzle: What is the remainder when 7395 is divided by 9? Hence: 6 Puzzle: Calculate the remainder when 492696 is divided by 108. Hence: 0 Puzzle: What is the remainder when 749 is divided by 54? Hence: 47 Puzzle: What is the remainder when 1767 is divided by 1187? Hence: 580 Puzzle: What is the remainder when 62523876 is divided by 33? Hence: 30 Puzzle: Calculate the remainder when 799 is divided by 780. Hence: 19 Puzzle: Calculate the remainder when 6038 is divided by 101. Hence: 79 Puzzle: Calculate the remainder when 10171522 is divided by 7. Hence: 4 Puzzle: What is the remainder when 174070 is divided by 211? Hence: 206 Puzzle: What is the remainder when 2401 is divided by 600? Hence: 1 Puzzle: Calculate the remainder when 10486 is divided by 31. Hence: 8 Puzzle: What is the remainder when 222381 is divided by 150? Hence: 81 Puzzle: Calculate the remainder when 559 is divided by 258. Hence: 43 Puzzle: Calculate the remainder when 514 is divided by 188. Hence: 138 Puzzle: What is the remainder when 5567 is div
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measurement: time ----------------- Query: What is 445 minutes after 5:15 AM? Fix: 12:40 PM Query: How many minutes are there between 10:52 PM and 4:58 AM? Fix: 366 Query: How many minutes are there between 10:56 AM and 6:48 PM? Fix: 472 Query: What is 473 minutes before 4:03 AM? Fix: 8:10 PM Query: How many minutes are there between 9:26 AM and 8:23 PM? Fix: 657 Query: How many minutes are there between 8:11 AM and 7:03 PM? Fix: 652 Query: What is 424 minutes before 10:44 PM? Fix: 3:40 PM Query: How many minutes are there between 8:31 PM and 6:28 AM? Fix: 597 Query: How many minutes are there between 11:11 PM and 5:11 AM? Fix: 360 Query: How many minutes are there between 5:42 AM and 10:16 AM? Fix: 274 Query: How many minutes are there between 6:37 PM and 4:53 AM? Fix: 616 Query: What is 618 minutes before 7:11 PM? Fix: 8:53 AM Query: What is 128 minutes before 4:51 PM? Fix: 2:43 PM Query: How many minutes are there between 8:37 PM and 3:02 AM? Fix: 385 Query: What is 587 minutes after 10:23 AM? Fix: 8:10 PM Query: How many minutes are there between 12:59 AM and 1:10 AM? Fix: 11 Query: How many minutes are there between 11:15 AM and 4:43 PM? Fix: 328 Query: What is 92 minutes after 1:58 PM? Fix: 3:30 PM Query: What is 295 minutes after 5:01 PM? Fix: 9:56 PM Query: How many minutes are there between 7:05 AM and 4:57 PM? Fix: 592 Query: What is 101 minutes before 10:45 AM? Fix: 9:04 AM Query: How many minutes are there between 10:36 PM and 4:21 AM? Fix: 345 Query: How many minutes are there between 11:56 AM and 2:51 PM? Fix: 175 Query: What is 304 minutes after 7:01 AM? Fix: 12:05 PM Query: How many minutes are there between 3:48 AM and 5:49 AM? Fix: 121 Query: How many minutes are there between 5:54 AM and 4:14 PM? Fix: 620 Query: How many minutes are there between 11:32 PM and 9:55 AM? Fix: 623 Query: What is 243 minutes before 8:38 PM? Fix: 4:35 PM Query: How many minutes are there between 2:20 AM and 3:27 AM? Fix: 67 Query: How many minutes are there between 6:27
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numbers: is prime ----------------- Task: Is 22425578891 prime? Compute: True Task: Is 56124902683 prime? Compute: False Task: Is 63578629 prime? Compute: True Task: Is 23249 composite? Compute: True Task: Is 8045965 prime? Compute: False Task: Is 866069 a composite number? Compute: True Task: Is 1709699 a prime number? Compute: True Task: Is 2186380051 a composite number? Compute: True Task: Is 85121 composite? Compute: False Task: Is 7235177 composite? Compute: False Task: Is 3047347 composite? Compute: True Task: Is 6231599729 a composite number? Compute: False Task: Is 73818803 composite? Compute: False Task: Is 1264051839 a composite number? Compute: True Task: Is 52211977471 a prime number? Compute: False Task: Is 25094 composite? Compute: True Task: Is 17605909 prime? Compute: True Task: Is 1971377 composite? Compute: False Task: Is 1993921 a composite number? Compute: False Task: Is 29583214 composite? Compute: True Task: Is 72251 a prime number? Compute: True Task: Is 3538972747 prime? Compute: False Task: Is 144119347 a composite number? Compute: True Task: Is 419417 a composite number? Compute: False Task: Is 136228934327 a prime number? Compute: False Task: Is 803033999 a composite number? Compute: False Task: Is 2208343957 prime? Compute: False Task: Is 70751741 prime? Compute: True Task: Is 8365895053 a prime number? Compute: True Task: Is 54938074349 a prime number? Compute: False Task: Is 657715 prime? Compute: False Task: Is 42872956159 a prime number? Compute: False Task: Is 38716388023 composite? Compute: True Task: Is 29342815361 a prime number? Compute: False Task: Is 13847167 prime? Compute: True Task: Is 4881659549 composite? Compute: True Task: Is 491159 a prime number? Compute: True Task: Is 26649983 a composite number? Compute: False Task: Is 35191601 a prime number? Compute: False Task: Is 232029461 prime? Compute: True Task: Is 1882241 a composite number? Compute: True Task: Is 22719717187 prime? Compute: False Task: Is 38527 a prime numb
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probability: swr p level set ---------------------------- Math Problem: Calculate prob of picking 1 y and 3 k when four letters picked without replacement from yqyddkqykkyk. Calculation: 16/495 Math Problem: Calculate prob of picking 1 a, 1 j, and 1 u when three letters picked without replacement from ajrju. Calculation: 1/5 Math Problem: Three letters picked without replacement from {s: 4, a: 6}. What is prob of picking 3 s? Calculation: 1/30 Math Problem: What is prob of picking 2 o when two letters picked without replacement from {b: 10, o: 9}? Calculation: 4/19 Math Problem: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {x: 2, n: 6, y: 1, a: 2, v: 2, h: 4}. Calculation: 3/17 Math Problem: Calculate prob of picking 1 l and 3 d when four letters picked without replacement from {z: 1, d: 4, l: 3}. Calculation: 6/35 Math Problem: Four letters picked without replacement from oonononnnoonooooooo. What is prob of picking 2 n and 2 o? Calculation: 195/646 Math Problem: Two letters picked without replacement from uqqjtxujsxttxjxs. What is prob of picking 1 j and 1 s? Calculation: 1/20 Math Problem: Four letters picked without replacement from {r: 12, k: 3}. What is prob of picking 1 k and 3 r? Calculation: 44/91 Math Problem: Two letters picked without replacement from ogt. What is prob of picking 1 t and 1 g? Calculation: 1/3 Math Problem: Three letters picked without replacement from hhgmmmhghrn. What is prob of picking 2 m and 1 h? Calculation: 4/55 Math Problem: What is prob of picking 1 p and 1 y when two letters picked without replacement from {q: 3, k: 6, y: 1, p: 4}? Calculation: 4/91 Math Problem: Calculate prob of picking 3 f when three letters picked without replacement from fffzzzffffffzzffffff. Calculation: 91/228 Math Problem: Four letters picked without replacement from {p: 1, t: 1, i: 3, v: 3, q: 8, j: 3}. Give prob of picking 1 v, 1 t, and 2 j. Calculation: 3/1292 Math Problem: Four letters picked without replacem
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numbers: gcd ------------ Example: What is the highest common divisor of 319 and 103211? Interpretation: 29 Example: Calculate the highest common factor of 18 and 9696. Interpretation: 6 Example: What is the highest common divisor of 40 and 9208? Interpretation: 8 Example: What is the greatest common divisor of 37634 and 9554180? Interpretation: 1214 Example: What is the greatest common factor of 9300 and 74450? Interpretation: 50 Example: Calculate the greatest common factor of 4976 and 2544. Interpretation: 16 Example: What is the greatest common factor of 743820 and 212415? Interpretation: 735 Example: Calculate the greatest common factor of 4252577 and 679. Interpretation: 679 Example: Calculate the greatest common divisor of 9858168 and 234. Interpretation: 18 Example: Calculate the greatest common factor of 5 and 425. Interpretation: 5 Example: What is the greatest common factor of 365 and 9255889? Interpretation: 73 Example: Calculate the greatest common divisor of 112 and 252. Interpretation: 28 Example: Calculate the greatest common factor of 59330 and 85. Interpretation: 85 Example: Calculate the highest common factor of 1967 and 70. Interpretation: 7 Example: Calculate the highest common factor of 572 and 451620. Interpretation: 52 Example: What is the greatest common divisor of 969165 and 405? Interpretation: 405 Example: What is the highest common factor of 255 and 6273? Interpretation: 51 Example: Calculate the highest common divisor of 31897 and 167. Interpretation: 167 Example: What is the greatest common divisor of 387 and 9? Interpretation: 9 Example: Calculate the highest common factor of 20 and 540. Interpretation: 20 Example: What is the highest common factor of 1144 and 12847848? Interpretation: 104 Example: What is the greatest common divisor of 136140 and 120? Interpretation: 60 Example: What is the greatest common factor of 18 and 66? Interpretation: 6 Example: What is the greatest common factor of 585 and 5940? Interpretation: 45 Example: W
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arithmetic: nearest integer root -------------------------------- Challenge: What is 1817391070 to the power of 1/2, to the nearest integer? Response: 42631 Challenge: What is the cube root of 13101 to the nearest integer? Response: 24 Challenge: What is 240849769 to the power of 1/2, to the nearest integer? Response: 15519 Challenge: What is the square root of 1610000293 to the nearest integer? Response: 40125 Challenge: What is 4542 to the power of 1/4, to the nearest integer? Response: 8 Challenge: What is the eighth root of 776 to the nearest integer? Response: 2 Challenge: What is 28100588 to the power of 1/2, to the nearest integer? Response: 5301 Challenge: What is 162550443 to the power of 1/10, to the nearest integer? Response: 7 Challenge: What is 1079659464 to the power of 1/3, to the nearest integer? Response: 1026 Challenge: What is the eighth root of 197088 to the nearest integer? Response: 5 Challenge: What is 5168215 to the power of 1/8, to the nearest integer? Response: 7 Challenge: What is 7703 to the power of 1/3, to the nearest integer? Response: 20 Challenge: What is 76 to the power of 1/10, to the nearest integer? Response: 2 Challenge: What is 1029512 to the power of 1/10, to the nearest integer? Response: 4 Challenge: What is the ninth root of 141324 to the nearest integer? Response: 4 Challenge: What is 4614057 to the power of 1/2, to the nearest integer? Response: 2148 Challenge: What is the tenth root of 23473390 to the nearest integer? Response: 5 Challenge: What is the square root of 2101961858 to the nearest integer? Response: 45847 Challenge: What is the seventh root of 17646 to the nearest integer? Response: 4 Challenge: What is 129771 to the power of 1/3, to the nearest integer? Response: 51 Challenge: What is 374413 to the power of 1/10, to the nearest integer? Response: 4 Challenge: What is 1313723 to the power of 1/8, to the nearest integer? Response: 6 Challenge: What is 9398 to the power of 1/3, to the nearest integer? Response:
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probability: swr p sequence --------------------------- Case: Calculate prob of sequence mb when two letters picked without replacement from {x: 2, h: 1, m: 2, e: 1, b: 2}. Solution: 1/14 Case: Four letters picked without replacement from wkyzr. Give prob of sequence wrzk. Solution: 1/120 Case: Calculate prob of sequence okko when four letters picked without replacement from kckkwqocohqkoko. Solution: 2/273 Case: What is prob of sequence rbt when three letters picked without replacement from bbsbbsbvtr? Solution: 1/144 Case: Three letters picked without replacement from {n: 2, v: 1, w: 1, m: 1, l: 2}. Give prob of sequence lvv. Solution: 0 Case: What is prob of sequence na when two letters picked without replacement from {n: 1, x: 2, a: 3, y: 5, u: 1, m: 1}? Solution: 1/52 Case: Three letters picked without replacement from opppdddopodpp. What is prob of sequence pdo? Solution: 6/143 Case: Two letters picked without replacement from iiiii. What is prob of sequence ii? Solution: 1 Case: Calculate prob of sequence pp when two letters picked without replacement from xdxxxpdxpxxdxxx. Solution: 1/105 Case: What is prob of sequence xclc when four letters picked without replacement from clqqlrcllcxrlxllrlcr? Solution: 8/4845 Case: Two letters picked without replacement from rrrrrqrrrybarbrlrb. What is prob of sequence ay? Solution: 1/306 Case: Three letters picked without replacement from sep. What is prob of sequence spe? Solution: 1/6 Case: Four letters picked without replacement from ojoooomooojmcc. What is prob of sequence omcj? Solution: 8/3003 Case: Four letters picked without replacement from hhsvhshfhslffcchfflf. What is prob of sequence hhvh? Solution: 1/969 Case: What is prob of sequence ejo when three letters picked without replacement from nogej? Solution: 1/60 Case: Two letters picked without replacement from coccioico. Give prob of sequence co. Solution: 1/6 Case: Calculate prob of sequence yy when two letters picked without replacement from {l: 1, n: 6, y: 4
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probability: swr p level set ---------------------------- Problem Statement: Three letters picked without replacement from {v: 6, x: 9, l: 2, n: 1}. Give prob of picking 1 x and 2 l. Answer: 3/272 Problem Statement: Two letters picked without replacement from {m: 17, n: 3}. Give prob of picking 2 n. Answer: 3/190 Problem Statement: Calculate prob of picking 1 i, 1 j, 1 r, and 1 u when four letters picked without replacement from rjsririssssissssiu. Answer: 1/255 Problem Statement: Three letters picked without replacement from {b: 2, s: 1, p: 4}. What is prob of picking 2 p and 1 s? Answer: 6/35 Problem Statement: What is prob of picking 1 i and 1 a when two letters picked without replacement from {i: 3, m: 1, k: 3, a: 2, h: 4, j: 2}? Answer: 2/35 Problem Statement: Two letters picked without replacement from kkllclookkkgcklkkkkl. What is prob of picking 2 c? Answer: 1/190 Problem Statement: What is prob of picking 1 p and 1 f when two letters picked without replacement from {f: 1, v: 2, p: 2}? Answer: 1/5 Problem Statement: What is prob of picking 1 q and 1 v when two letters picked without replacement from {n: 1, q: 1, v: 1}? Answer: 1/3 Problem Statement: Calculate prob of picking 2 v and 1 g when three letters picked without replacement from {m: 3, v: 7, g: 4}. Answer: 3/13 Problem Statement: Three letters picked without replacement from oooooioo. Give prob of picking 2 o and 1 i. Answer: 3/8 Problem Statement: What is prob of picking 2 v when two letters picked without replacement from vqkkkkqkqkkkkqvq? Answer: 1/120 Problem Statement: Three letters picked without replacement from iiiztziiztzttztzzz. What is prob of picking 2 t and 1 i? Answer: 25/408 Problem Statement: What is prob of picking 1 s and 1 p when two letters picked without replacement from {p: 1, q: 1, v: 1, y: 1, m: 1, s: 2}? Answer: 2/21 Problem Statement: Two letters picked without replacement from kkkdudkkkdukkukkdukk. What is prob of picking 1 k and 1 d? Answer: 24/95 Problem Statement: Two le
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probability: swr p level set ---------------------------- Subject: Two letters picked without replacement from {g: 1, y: 1, i: 1, r: 1, o: 1}. Give prob of picking 1 i and 1 g. Yields: 1/10 Subject: Two letters picked without replacement from {l: 1, x: 1, t: 6, m: 6, d: 3, f: 3}. Give prob of picking 1 x and 1 d. Yields: 3/190 Subject: Three letters picked without replacement from hcqqqhqqhqqccqchhqq. Give prob of picking 1 q and 2 h. Yields: 100/969 Subject: Four letters picked without replacement from zyikzjyzuyu. What is prob of picking 1 k, 1 u, and 2 z? Yields: 1/55 Subject: Two letters picked without replacement from issssssisss. Give prob of picking 2 s. Yields: 36/55 Subject: Two letters picked without replacement from {r: 1, x: 2, w: 1}. Give prob of picking 1 x and 1 w. Yields: 1/3 Subject: Two letters picked without replacement from cnxcuqe. What is prob of picking 1 n and 1 u? Yields: 1/21 Subject: Two letters picked without replacement from ttxaktxkxkkxkkxk. What is prob of picking 1 a and 1 k? Yields: 7/120 Subject: What is prob of picking 3 h and 1 d when four letters picked without replacement from hhhdhhhhhhdhhhhhhhhh? Yields: 32/95 Subject: What is prob of picking 1 q and 3 x when four letters picked without replacement from {x: 5, q: 4, h: 2}? Yields: 4/33 Subject: Three letters picked without replacement from vwjvvwvjwwjvjjv. What is prob of picking 2 v and 1 j? Yields: 15/91 Subject: Two letters picked without replacement from {g: 3, w: 2, z: 4, u: 6}. Give prob of picking 1 g and 1 z. Yields: 4/35 Subject: What is prob of picking 2 a and 2 k when four letters picked without replacement from {a: 2, k: 4}? Yields: 2/5 Subject: Two letters picked without replacement from zybmyrrb. What is prob of picking 1 m and 1 z? Yields: 1/28 Subject: Three letters picked without replacement from {x: 1, i: 5, f: 3}. Give prob of picking 3 f. Yields: 1/84 Subject: What is prob of picking 3 v and 1 x when four letters picked without replacement from xxxvxxxxxvxx
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arithmetic: nearest integer root -------------------------------- Q-: What is the cube root of 914939 to the nearest integer? Soln: 97 Q-: What is the cube root of 6599538702 to the nearest integer? Soln: 1876 Q-: What is the third root of 1138 to the nearest integer? Soln: 10 Q-: What is the sixth root of 24237090 to the nearest integer? Soln: 17 Q-: What is the square root of 3902 to the nearest integer? Soln: 62 Q-: What is the fourth root of 171 to the nearest integer? Soln: 4 Q-: What is the square root of 1041823 to the nearest integer? Soln: 1021 Q-: What is the eighth root of 5777779 to the nearest integer? Soln: 7 Q-: What is the seventh root of 41127786 to the nearest integer? Soln: 12 Q-: What is the cube root of 231540 to the nearest integer? Soln: 61 Q-: What is the cube root of 18649993 to the nearest integer? Soln: 265 Q-: What is the square root of 1983 to the nearest integer? Soln: 45 Q-: What is the fifth root of 791512 to the nearest integer? Soln: 15 Q-: What is 25408297 to the power of 1/4, to the nearest integer? Soln: 71 Q-: What is the seventh root of 6637143 to the nearest integer? Soln: 9 Q-: What is the seventh root of 2131571258 to the nearest integer? Soln: 22 Q-: What is the square root of 238494 to the nearest integer? Soln: 488 Q-: What is the tenth root of 2197508169 to the nearest integer? Soln: 9 Q-: What is 169731 to the power of 1/3, to the nearest integer? Soln: 55 Q-: What is 5640588 to the power of 1/2, to the nearest integer? Soln: 2375 Q-: What is 717955 to the power of 1/2, to the nearest integer? Soln: 847 Q-: What is 21389187 to the power of 1/2, to the nearest integer? Soln: 4625 Q-: What is the seventh root of 2250814 to the nearest integer? Soln: 8 Q-: What is 1660 to the power of 1/8, to the nearest integer? Soln: 3 Q-: What is the fifth root of 287 to the nearest integer? Soln: 3 Q-: What is the square root of 1174701870 to the nearest integer? Soln: 34274 Q-: What is the third root of 2999 to the nearest integer? So
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numbers: place value -------------------- Prompt: What is the tens digit of 40340? Steps: 4 Prompt: What is the units digit of 61230562? Steps: 2 Prompt: What is the hundreds digit of 2069? Steps: 0 Prompt: What is the hundreds digit of 25875570? Steps: 5 Prompt: What is the units digit of 60011? Steps: 1 Prompt: What is the ten thousands digit of 277449026? Steps: 4 Prompt: What is the tens digit of 879? Steps: 7 Prompt: What is the units digit of 7496429? Steps: 9 Prompt: What is the hundreds digit of 204046? Steps: 0 Prompt: What is the ten thousands digit of 45045? Steps: 4 Prompt: What is the billions digit of 6286254627? Steps: 6 Prompt: What is the ten thousands digit of 568363849? Steps: 6 Prompt: What is the ten thousands digit of 59649? Steps: 5 Prompt: What is the hundred thousands digit of 6910430? Steps: 9 Prompt: What is the hundreds digit of 6262951? Steps: 9 Prompt: What is the tens digit of 11046178? Steps: 7 Prompt: What is the tens digit of 3146? Steps: 4 Prompt: What is the hundreds digit of 1545? Steps: 5 Prompt: What is the thousands digit of 17997675? Steps: 7 Prompt: What is the hundreds digit of 549059362? Steps: 3 Prompt: What is the hundreds digit of 978? Steps: 9 Prompt: What is the millions digit of 3187986? Steps: 3 Prompt: What is the tens digit of 806? Steps: 0 Prompt: What is the ten millions digit of 14751683? Steps: 1 Prompt: What is the units digit of 313? Steps: 3 Prompt: What is the ten thousands digit of 1602508512? Steps: 0 Prompt: What is the units digit of 9053? Steps: 3 Prompt: What is the thousands digit of 10722? Steps: 0 Prompt: What is the tens digit of 3684739? Steps: 3 Prompt: What is the thousands digit of 7643? Steps: 7 Prompt: What is the tens digit of 80071947? Steps: 4 Prompt: What is the thousands digit of 3521? Steps: 3 Prompt: What is the thousands digit of 17192158? Steps: 2 Prompt: What is the tens digit of 9673660? Steps: 6 Prompt: What is the tens digit of 1613749? Steps: 4 Prompt: What is the units digit
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numbers: is prime ----------------- Task: Is 280142293 a prime number? Gives: True Task: Is 336961 composite? Gives: False Task: Is 37519849 a prime number? Gives: False Task: Is 15462079 a composite number? Gives: True Task: Is 3799 a composite number? Gives: True Task: Is 8822797 a prime number? Gives: True Task: Is 609511519 prime? Gives: True Task: Is 739997593 a composite number? Gives: False Task: Is 35747 a composite number? Gives: False Task: Is 11795701 a prime number? Gives: False Task: Is 107723137 a prime number? Gives: False Task: Is 9816266651 a prime number? Gives: True Task: Is 983625737 prime? Gives: True Task: Is 21482029 composite? Gives: False Task: Is 1068989 a prime number? Gives: True Task: Is 554463863 a prime number? Gives: True Task: Is 97547 a composite number? Gives: False Task: Is 11623003409 a composite number? Gives: True Task: Is 30136372217 composite? Gives: True Task: Is 25542034781 a prime number? Gives: True Task: Is 1330250593 a prime number? Gives: False Task: Is 1950110473 a composite number? Gives: False Task: Is 19841 a composite number? Gives: False Task: Is 59101 a prime number? Gives: False Task: Is 194599813 a prime number? Gives: True Task: Is 90744517 a composite number? Gives: True Task: Is 72511 a prime number? Gives: False Task: Is 58987307 a prime number? Gives: True Task: Is 637529063 composite? Gives: False Task: Is 25931665 composite? Gives: True Task: Is 2317067 composite? Gives: False Task: Is 2027 composite? Gives: False Task: Is 28313371 a composite number? Gives: False Task: Is 1973904197 composite? Gives: False Task: Is 9803 composite? Gives: False Task: Is 590587 prime? Gives: False Task: Is 1026235261 composite? Gives: False Task: Is 3556877 composite? Gives: False Task: Is 8645973641 a composite number? Gives: True Task: Is 760063 a prime number? Gives: True Task: Is 35123279299 prime? Gives: False Task: Is 3199 composite? Gives: True Task: Is 4138507 composite? Gives: False Task: Is 5771365441 composite
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numbers: gcd ------------ Given: Calculate the greatest common divisor of 188002 and 230. Math A: 46 Given: Calculate the greatest common divisor of 108 and 621. Math A: 27 Given: What is the greatest common divisor of 180 and 596610? Math A: 90 Given: What is the highest common divisor of 111366 and 41466888? Math A: 4842 Given: What is the highest common factor of 132147 and 9? Math A: 9 Given: Calculate the highest common factor of 69 and 3151. Math A: 23 Given: Calculate the greatest common factor of 12947 and 605. Math A: 121 Given: Calculate the highest common divisor of 7057909 and 3107. Math A: 239 Given: What is the greatest common divisor of 39 and 577? Math A: 1 Given: Calculate the greatest common divisor of 125972 and 1652. Math A: 28 Given: Calculate the greatest common factor of 760 and 6631304. Math A: 152 Given: What is the highest common divisor of 2130 and 30? Math A: 30 Given: What is the highest common divisor of 391 and 17? Math A: 17 Given: Calculate the greatest common factor of 104 and 50664. Math A: 8 Given: Calculate the greatest common factor of 324 and 372. Math A: 12 Given: Calculate the highest common factor of 1792 and 28. Math A: 28 Given: What is the greatest common divisor of 3409 and 47239? Math A: 487 Given: What is the highest common factor of 2456 and 56? Math A: 8 Given: Calculate the greatest common divisor of 15185 and 6025. Math A: 5 Given: What is the highest common factor of 1469888 and 34? Math A: 34 Given: Calculate the highest common factor of 143892 and 189. Math A: 63 Given: What is the greatest common factor of 806 and 406906? Math A: 62 Given: What is the greatest common factor of 76 and 931? Math A: 19 Given: Calculate the highest common divisor of 154 and 16478. Math A: 154 Given: Calculate the highest common divisor of 1817 and 23. Math A: 23 Given: Calculate the highest common divisor of 10759 and 166663. Math A: 203 Given: What is the greatest common divisor of 1830 and 4459893? Math A: 183 Given: Calculate th
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probability: swr p sequence --------------------------- Ask: What is prob of sequence oggk when four letters picked without replacement from kgkkgggvgkkfvfkog? Hence: 3/952 Ask: Calculate prob of sequence qpkp when four letters picked without replacement from mqqqyqpqpmqqqqkpy. Hence: 9/9520 Ask: Three letters picked without replacement from {a: 9, p: 8, j: 2}. Give prob of sequence ajj. Hence: 1/323 Ask: Four letters picked without replacement from {p: 1, w: 2, q: 1, r: 4, c: 1, j: 3}. What is prob of sequence rqpj? Hence: 1/990 Ask: Four letters picked without replacement from rrqrrssrs. Give prob of sequence sqsr. Hence: 5/504 Ask: Calculate prob of sequence sv when two letters picked without replacement from {e: 1, v: 1, s: 1}. Hence: 1/6 Ask: Four letters picked without replacement from {x: 5, r: 5}. Give prob of sequence xxrx. Hence: 5/84 Ask: Two letters picked without replacement from {q: 1, s: 6, r: 3, n: 1, a: 4}. Give prob of sequence nr. Hence: 1/70 Ask: Three letters picked without replacement from mmrxxrxrrzzmmsxm. What is prob of sequence zmx? Hence: 1/84 Ask: What is prob of sequence kf when two letters picked without replacement from wwkwhfwhngnwwff? Hence: 1/70 Ask: Calculate prob of sequence iii when three letters picked without replacement from iliilliiiiiiiiiiii. Hence: 455/816 Ask: Two letters picked without replacement from {y: 6, e: 4, d: 3, i: 3, s: 2}. What is prob of sequence ss? Hence: 1/153 Ask: Calculate prob of sequence wmww when four letters picked without replacement from mmmwwewwmwwmmmwwhw. Hence: 49/1020 Ask: What is prob of sequence cw when two letters picked without replacement from {w: 3, c: 8}? Hence: 12/55 Ask: Four letters picked without replacement from {x: 1, p: 1, a: 1, l: 2}. Give prob of sequence lalp. Hence: 1/60 Ask: What is prob of sequence snnd when four letters picked without replacement from {n: 4, s: 4, z: 2, d: 1}? Hence: 1/165 Ask: Calculate prob of sequence lw when two letters picked without replacement from uu
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numbers: div remainder ---------------------- Query: Calculate the remainder when 54 is divided by 51. Finding: 3 Query: Calculate the remainder when 3149 is divided by 1289. Finding: 571 Query: Calculate the remainder when 583 is divided by 107. Finding: 48 Query: Calculate the remainder when 337905 is divided by 1275. Finding: 30 Query: What is the remainder when 16796 is divided by 4180? Finding: 76 Query: What is the remainder when 14201 is divided by 106? Finding: 103 Query: What is the remainder when 6812 is divided by 143? Finding: 91 Query: Calculate the remainder when 1392426 is divided by 23. Finding: 6 Query: Calculate the remainder when 24298 is divided by 421. Finding: 301 Query: Calculate the remainder when 8087780 is divided by 492. Finding: 284 Query: Calculate the remainder when 20868 is divided by 92. Finding: 76 Query: What is the remainder when 1499938 is divided by 1282? Finding: 1280 Query: Calculate the remainder when 16859 is divided by 292. Finding: 215 Query: What is the remainder when 6980 is divided by 36? Finding: 32 Query: Calculate the remainder when 7381 is divided by 661. Finding: 110 Query: What is the remainder when 435 is divided by 63? Finding: 57 Query: Calculate the remainder when 4606813 is divided by 882. Finding: 127 Query: What is the remainder when 3446 is divided by 17? Finding: 12 Query: Calculate the remainder when 65925524 is divided by 23. Finding: 3 Query: What is the remainder when 14537 is divided by 87? Finding: 8 Query: What is the remainder when 5096503 is divided by 188755? Finding: 118 Query: What is the remainder when 7116 is divided by 513? Finding: 447 Query: What is the remainder when 386683 is divided by 8688? Finding: 4411 Query: What is the remainder when 11776 is divided by 353? Finding: 127 Query: Calculate the remainder when 2252696 is divided by 225269. Finding: 6 Query: What is the remainder when 103645 is divided by 310? Finding: 105 Query: Calculate the remainder when 7866 is divided by 3926. Fin
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measurement: time ----------------- Question: How many minutes are there between 12:35 PM and 12:00 AM? Gives: 685 Question: What is 420 minutes before 5:10 PM? Gives: 10:10 AM Question: How many minutes are there between 11:35 AM and 6:33 PM? Gives: 418 Question: How many minutes are there between 2:30 PM and 8:02 PM? Gives: 332 Question: What is 204 minutes before 12:09 AM? Gives: 8:45 PM Question: How many minutes are there between 11:54 PM and 4:18 AM? Gives: 264 Question: What is 665 minutes after 12:07 PM? Gives: 11:12 PM Question: How many minutes are there between 1:14 PM and 6:58 PM? Gives: 344 Question: What is 416 minutes after 8:29 AM? Gives: 3:25 PM Question: What is 283 minutes after 7:22 AM? Gives: 12:05 PM Question: What is 623 minutes after 11:56 PM? Gives: 10:19 AM Question: What is 687 minutes after 5:30 PM? Gives: 4:57 AM Question: How many minutes are there between 8:19 AM and 3:29 PM? Gives: 430 Question: How many minutes are there between 6:58 AM and 7:54 AM? Gives: 56 Question: How many minutes are there between 4:28 AM and 9:20 AM? Gives: 292 Question: How many minutes are there between 9:25 AM and 5:48 PM? Gives: 503 Question: What is 679 minutes after 7:56 PM? Gives: 7:15 AM Question: How many minutes are there between 2:58 PM and 11:46 PM? Gives: 528 Question: How many minutes are there between 11:17 PM and 7:29 AM? Gives: 492 Question: What is 91 minutes after 1:21 PM? Gives: 2:52 PM Question: What is 552 minutes before 2:26 AM? Gives: 5:14 PM Question: How many minutes are there between 10:53 PM and 6:55 AM? Gives: 482 Question: How many minutes are there between 5:34 AM and 2:29 PM? Gives: 535 Question: How many minutes are there between 12:31 AM and 8:05 AM? Gives: 454 Question: How many minutes are there between 10:50 PM and 2:19 AM? Gives: 209 Question: What is 207 minutes before 4:57 PM? Gives: 1:30 PM Question: What is 420 minutes before 4:31 PM? Gives: 9:31 AM Question: What is 238 minutes before 12:15 PM? Gives: 8:17 AM Question
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numbers: lcm ------------ Problem Statement: Find the common denominator of -89/264 and 97/103632. A.: 1139952 Problem Statement: What is the common denominator of 61/32 and 85/2? A.: 32 Problem Statement: What is the smallest common multiple of 77 and 331716? A.: 331716 Problem Statement: Calculate the smallest common multiple of 12015 and 283020. A.: 2547180 Problem Statement: What is the common denominator of 27/2054 and -121/238? A.: 244426 Problem Statement: What is the smallest common multiple of 854 and 144578? A.: 8819258 Problem Statement: What is the common denominator of 62/1309245 and -16/21441? A.: 1336739145 Problem Statement: What is the least common multiple of 1 and 2636? A.: 2636 Problem Statement: Calculate the smallest common multiple of 448 and 11704. A.: 93632 Problem Statement: Calculate the lowest common multiple of 24752 and 936. A.: 222768 Problem Statement: Find the common denominator of -46/5 and 75/296. A.: 1480 Problem Statement: What is the common denominator of 49/7200 and -89/504? A.: 50400 Problem Statement: What is the least common multiple of 72 and 1440? A.: 1440 Problem Statement: What is the common denominator of 34/103161 and 56/103161? A.: 103161 Problem Statement: What is the least common multiple of 110 and 160? A.: 1760 Problem Statement: Find the common denominator of 57/80 and 57/32. A.: 160 Problem Statement: What is the common denominator of -5/602 and 17/4447103? A.: 62259442 Problem Statement: What is the lowest common multiple of 8 and 143689192? A.: 143689192 Problem Statement: Find the common denominator of 131/2285280 and -149/324. A.: 6855840 Problem Statement: What is the common denominator of 59/330 and -49/139194? A.: 695970 Problem Statement: Calculate the least common multiple of 1092114 and 812736. A.: 34947648 Problem Statement: What is the lowest common multiple of 12 and 11988? A.: 11988 Problem Statement: Calculate the least common multiple of 50 and 26030. A.: 130150 Problem Statement: What is the sma
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numbers: div remainder ---------------------- Exercise: What is the remainder when 381 is divided by 16? = : 13 Exercise: What is the remainder when 223141 is divided by 222994? = : 147 Exercise: What is the remainder when 2643 is divided by 623? = : 151 Exercise: Calculate the remainder when 2489 is divided by 1171. = : 147 Exercise: What is the remainder when 26804 is divided by 1164? = : 32 Exercise: What is the remainder when 2636 is divided by 364? = : 88 Exercise: Calculate the remainder when 1472350 is divided by 1443. = : 490 Exercise: What is the remainder when 901 is divided by 773? = : 128 Exercise: Calculate the remainder when 4054369 is divided by 105. = : 4 Exercise: What is the remainder when 2918182 is divided by 364? = : 358 Exercise: Calculate the remainder when 706 is divided by 90. = : 76 Exercise: Calculate the remainder when 490 is divided by 127. = : 109 Exercise: What is the remainder when 4309302 is divided by 945? = : 102 Exercise: Calculate the remainder when 1882962 is divided by 470148. = : 2370 Exercise: Calculate the remainder when 207 is divided by 135. = : 72 Exercise: Calculate the remainder when 746733 is divided by 376. = : 373 Exercise: What is the remainder when 403422 is divided by 10368? = : 9438 Exercise: Calculate the remainder when 39815 is divided by 6. = : 5 Exercise: Calculate the remainder when 14416 is divided by 1795. = : 56 Exercise: Calculate the remainder when 1058 is divided by 48. = : 2 Exercise: Calculate the remainder when 11240 is divided by 9. = : 8 Exercise: What is the remainder when 89720326 is divided by 132919? = : 1 Exercise: What is the remainder when 2701801 is divided by 2804? = : 1549 Exercise: What is the remainder when 103226 is divided by 1023? = : 926 Exercise: Calculate the remainder when 36240617 is divided by 757. = : 756 Exercise: What is the remainder when 2811 is divided by 40? = : 11 Exercise: Calculate the remainder when 138 is divided by 55. = : 28 Exercise: Calculate the remainder when
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numbers: is factor ------------------ Issue: Is 28710 a multiple of 198? Interpretation: True Issue: Is 4020 a factor of 9816840? Interpretation: True Issue: Does 7197 divide 484422873? Interpretation: True Issue: Is 142 a factor of 1206925876? Interpretation: True Issue: Is 4935 a multiple of 5? Interpretation: True Issue: Does 16 divide 1452? Interpretation: False Issue: Is 10694350 a multiple of 25? Interpretation: True Issue: Is 66 a factor of 74218? Interpretation: False Issue: Does 32 divide 544? Interpretation: True Issue: Is 46744024 a multiple of 37? Interpretation: True Issue: Does 100 divide 26900? Interpretation: True Issue: Is 200348723 a multiple of 35? Interpretation: False Issue: Is 3816240 a multiple of 33? Interpretation: False Issue: Is 152 a factor of 122714312? Interpretation: True Issue: Is 269624 a multiple of 8? Interpretation: True Issue: Is 19 a factor of 1321? Interpretation: False Issue: Is 33532680 a multiple of 412? Interpretation: True Issue: Is 2020 a multiple of 34? Interpretation: False Issue: Is 3022 a factor of 659910338? Interpretation: False Issue: Is 18 a factor of 1598? Interpretation: False Issue: Is 832325936 a multiple of 17? Interpretation: False Issue: Is 12064 a multiple of 26? Interpretation: True Issue: Is 39536673 a multiple of 13? Interpretation: False Issue: Does 221 divide 242742? Interpretation: False Issue: Is 29 a factor of 5519825? Interpretation: False Issue: Is 2169855 a multiple of 15? Interpretation: True Issue: Does 26 divide 19040216? Interpretation: True Issue: Is 3711906 a multiple of 594? Interpretation: True Issue: Is 11040 a factor of 2830661134? Interpretation: False Issue: Does 101 divide 43336? Interpretation: False Issue: Is 11220 a multiple of 170? Interpretation: True Issue: Does 16 divide 6134464? Interpretation: True Issue: Does 45 divide 184462530? Interpretation: False Issue: Does 110 divide 677820? Interpretation: True Issue: Is 1692 a multiple of 6? Interpretation: True Issue: Is 489404 a
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numbers: is prime ----------------- Scenario: Is 386457 a composite number? Eval: True Scenario: Is 101599249 prime? Eval: True Scenario: Is 40798258 prime? Eval: False Scenario: Is 23105 a prime number? Eval: False Scenario: Is 3107 a composite number? Eval: True Scenario: Is 10109986891 prime? Eval: True Scenario: Is 96628157 prime? Eval: True Scenario: Is 538602839 composite? Eval: True Scenario: Is 11390201 composite? Eval: True Scenario: Is 59263 composite? Eval: False Scenario: Is 3504981869 a composite number? Eval: True Scenario: Is 26282427 a composite number? Eval: True Scenario: Is 8042 composite? Eval: True Scenario: Is 39313 composite? Eval: False Scenario: Is 3324665 a composite number? Eval: True Scenario: Is 17487540033 composite? Eval: True Scenario: Is 6679685381 a prime number? Eval: True Scenario: Is 619269551 a prime number? Eval: False Scenario: Is 362057 composite? Eval: True Scenario: Is 1239803 a prime number? Eval: True Scenario: Is 55763 composite? Eval: False Scenario: Is 250854827 prime? Eval: True Scenario: Is 493964593 composite? Eval: False Scenario: Is 999307 a prime number? Eval: True Scenario: Is 400559 prime? Eval: True Scenario: Is 2124307 composite? Eval: True Scenario: Is 1733696101 a prime number? Eval: True Scenario: Is 1552407 composite? Eval: True Scenario: Is 65529623 a prime number? Eval: True Scenario: Is 176731223 a prime number? Eval: True Scenario: Is 6558449 a prime number? Eval: True Scenario: Is 396113 composite? Eval: True Scenario: Is 564653 prime? Eval: True Scenario: Is 6005 composite? Eval: True Scenario: Is 7310755937 composite? Eval: False Scenario: Is 83130773 composite? Eval: True Scenario: Is 51692131 composite? Eval: True Scenario: Is 142657 composite? Eval: False Scenario: Is 640585889 composite? Eval: True Scenario: Is 26418989501 prime? Eval: False Scenario: Is 7941186469 prime? Eval: True Scenario: Is 25903 prime? Eval: True Scenario: Is 118951 a composite number? Eval: True Scenario: Is 31015077511
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probability: swr p level set ---------------------------- Case: Three letters picked without replacement from {q: 1, u: 7, h: 5, m: 3}. Give prob of picking 1 u and 2 m. Workthrough: 3/80 Case: What is prob of picking 3 x when three letters picked without replacement from xnbbixx? Workthrough: 1/35 Case: What is prob of picking 2 e and 1 r when three letters picked without replacement from {w: 4, m: 1, r: 5, e: 3}? Workthrough: 15/286 Case: Three letters picked without replacement from {h: 2, q: 3, e: 4}. Give prob of picking 2 q and 1 h. Workthrough: 1/14 Case: Calculate prob of picking 2 e and 1 q when three letters picked without replacement from exeeqeeeex. Workthrough: 7/40 Case: What is prob of picking 1 n, 1 k, 1 x, and 1 g when four letters picked without replacement from fxxnmnkfxfxngfgfgkgk? Workthrough: 48/1615 Case: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from lldzdzdzdjljljdj. Workthrough: 1/10 Case: What is prob of picking 1 r, 1 o, and 1 a when three letters picked without replacement from {i: 8, o: 1, w: 2, r: 3, a: 1, z: 5}? Workthrough: 1/380 Case: Two letters picked without replacement from cccdccccccdqdcsscg. What is prob of picking 1 g and 1 s? Workthrough: 2/153 Case: What is prob of picking 2 j and 1 e when three letters picked without replacement from jjcjjjejjjjecejjjeej? Workthrough: 13/38 Case: What is prob of picking 1 w, 1 z, 1 k, and 1 t when four letters picked without replacement from wztfttwktctttwtwt? Workthrough: 9/595 Case: What is prob of picking 4 c when four letters picked without replacement from {j: 5, c: 4, y: 6}? Workthrough: 1/1365 Case: Two letters picked without replacement from hehhhewhewe. Give prob of picking 1 w and 1 h. Workthrough: 2/11 Case: What is prob of picking 1 s and 1 x when two letters picked without replacement from psmwszxwwwsw? Workthrough: 1/22 Case: Calculate prob of picking 2 l and 2 j when four letters picked without replacement from osloljoojoo. Workthrough
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measurement: time ----------------- Math Problem: How many minutes are there between 3:02 PM and 2:48 AM? Response: 706 Math Problem: What is 664 minutes before 8:59 AM? Response: 9:55 PM Math Problem: What is 675 minutes before 7:18 PM? Response: 8:03 AM Math Problem: How many minutes are there between 6:03 AM and 3:33 PM? Response: 570 Math Problem: What is 91 minutes after 12:36 AM? Response: 2:07 AM Math Problem: How many minutes are there between 7:33 AM and 10:47 AM? Response: 194 Math Problem: How many minutes are there between 3:13 AM and 2:45 PM? Response: 692 Math Problem: How many minutes are there between 12:36 AM and 2:26 AM? Response: 110 Math Problem: How many minutes are there between 8:08 PM and 12:33 AM? Response: 265 Math Problem: What is 53 minutes before 11:55 AM? Response: 11:02 AM Math Problem: What is 481 minutes before 10:46 PM? Response: 2:45 PM Math Problem: How many minutes are there between 3:47 PM and 9:19 PM? Response: 332 Math Problem: How many minutes are there between 3:36 PM and 7:56 PM? Response: 260 Math Problem: How many minutes are there between 1:11 AM and 1:49 AM? Response: 38 Math Problem: What is 430 minutes before 8:50 PM? Response: 1:40 PM Math Problem: How many minutes are there between 6:04 AM and 5:32 PM? Response: 688 Math Problem: How many minutes are there between 4:14 AM and 5:05 AM? Response: 51 Math Problem: What is 255 minutes after 10:21 AM? Response: 2:36 PM Math Problem: What is 570 minutes before 1:36 AM? Response: 4:06 PM Math Problem: How many minutes are there between 10:57 AM and 4:15 PM? Response: 318 Math Problem: How many minutes are there between 9:09 AM and 1:05 PM? Response: 236 Math Problem: What is 538 minutes after 6:25 AM? Response: 3:23 PM Math Problem: How many minutes are there between 3:07 PM and 5:53 PM? Response: 166 Math Problem: How many minutes are there between 1:28 PM and 12:33 AM? Response: 665 Math Problem: How many minutes are there between 5:02 AM and 12:03 PM? Response: 421 Math
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probability: swr p sequence --------------------------- Q/A: What is prob of sequence iive when four letters picked without replacement from eeeieeeivivieieeiee? Derivation: 55/7752 Q/A: Three letters picked without replacement from {m: 2, e: 10}. Give prob of sequence eee. Derivation: 6/11 Q/A: Two letters picked without replacement from jfefuedjfeeejdd. What is prob of sequence jd? Derivation: 3/70 Q/A: Three letters picked without replacement from {m: 2, d: 3, e: 1, c: 7, k: 1}. Give prob of sequence cdd. Derivation: 1/52 Q/A: Two letters picked without replacement from ibkgoin. Give prob of sequence gi. Derivation: 1/21 Q/A: Three letters picked without replacement from rsikitzs. Give prob of sequence rik. Derivation: 1/168 Q/A: Two letters picked without replacement from ryyrrrrrry. What is prob of sequence yy? Derivation: 1/15 Q/A: What is prob of sequence hhe when three letters picked without replacement from {e: 17, h: 1}? Derivation: 0 Q/A: What is prob of sequence nn when two letters picked without replacement from nnfnfnfnnfn? Derivation: 21/55 Q/A: What is prob of sequence utt when three letters picked without replacement from uuuutuututttuuuutut? Derivation: 28/323 Q/A: Calculate prob of sequence vl when two letters picked without replacement from jjlzbjlzlbljvjjzjv. Derivation: 4/153 Q/A: Calculate prob of sequence baa when three letters picked without replacement from {m: 2, a: 4, b: 3}. Derivation: 1/14 Q/A: Two letters picked without replacement from {c: 8, o: 2}. What is prob of sequence oo? Derivation: 1/45 Q/A: What is prob of sequence xxw when three letters picked without replacement from pwcpphpxphhxwccrphw? Derivation: 1/969 Q/A: Three letters picked without replacement from bbbbyzgbzybbygzyy. Give prob of sequence ybz. Derivation: 7/272 Q/A: Calculate prob of sequence qrq when three letters picked without replacement from {r: 4, q: 3, b: 11}. Derivation: 1/204 Q/A: Two letters picked without replacement from {g: 1, h: 2, f: 1, j: 1, v: 10, d:
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numbers: is factor ------------------ Math Q: Does 95 divide 60800? Workthrough: True Math Q: Does 36 divide 675? Workthrough: False Math Q: Is 6 a factor of 86706? Workthrough: True Math Q: Is 161 a multiple of 7? Workthrough: True Math Q: Is 715 a multiple of 54? Workthrough: False Math Q: Is 52 a factor of 22038353? Workthrough: False Math Q: Is 653 a factor of 434040? Workthrough: False Math Q: Does 55 divide 7843495? Workthrough: True Math Q: Is 69671 a multiple of 27? Workthrough: False Math Q: Is 198870 a multiple of 85? Workthrough: False Math Q: Is 3 a factor of 322100823? Workthrough: True Math Q: Is 69462 a multiple of 17? Workthrough: True Math Q: Is 87 a factor of 5394? Workthrough: True Math Q: Is 3122977 a multiple of 11? Workthrough: True Math Q: Is 13931808 a multiple of 96? Workthrough: True Math Q: Is 4019820 a multiple of 51? Workthrough: True Math Q: Is 4 a factor of 2058783568? Workthrough: True Math Q: Is 2890946158 a multiple of 416? Workthrough: False Math Q: Is 86825 a multiple of 197? Workthrough: False Math Q: Is 184068 a multiple of 76? Workthrough: False Math Q: Does 122 divide 4167276? Workthrough: True Math Q: Does 17 divide 986? Workthrough: True Math Q: Does 4 divide 94388452? Workthrough: True Math Q: Does 63 divide 1560069? Workthrough: True Math Q: Does 285 divide 1865619? Workthrough: False Math Q: Is 239 a factor of 147721598? Workthrough: True Math Q: Is 18643353 a multiple of 63? Workthrough: False Math Q: Is 13879 a multiple of 4? Workthrough: False Math Q: Is 102 a factor of 3052104? Workthrough: False Math Q: Is 27 a factor of 648? Workthrough: True Math Q: Is 74697 a multiple of 129? Workthrough: False Math Q: Is 16 a factor of 2338? Workthrough: False Math Q: Does 5 divide 33? Workthrough: False Math Q: Does 763 divide 362712651? Workthrough: True Math Q: Is 41838 a multiple of 57? Workthrough: True Math Q: Is 129211 a multiple of 53? Workthrough: False Math Q: Is 12 a factor of 9048840? Workthrough: True Math Q: Does 29
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numbers: div remainder ---------------------- Test item: What is the remainder when 9181 is divided by 1744? Derivation: 461 Test item: What is the remainder when 21503 is divided by 319? Derivation: 130 Test item: Calculate the remainder when 4740 is divided by 42. Derivation: 36 Test item: Calculate the remainder when 731 is divided by 61. Derivation: 60 Test item: Calculate the remainder when 5976 is divided by 2923. Derivation: 130 Test item: What is the remainder when 1316 is divided by 132? Derivation: 128 Test item: What is the remainder when 2451 is divided by 306? Derivation: 3 Test item: What is the remainder when 201 is divided by 100? Derivation: 1 Test item: Calculate the remainder when 211453 is divided by 1068. Derivation: 1057 Test item: What is the remainder when 918518 is divided by 138? Derivation: 128 Test item: What is the remainder when 9262 is divided by 2928? Derivation: 478 Test item: Calculate the remainder when 2056 is divided by 206. Derivation: 202 Test item: Calculate the remainder when 1065 is divided by 97. Derivation: 95 Test item: Calculate the remainder when 122154 is divided by 371. Derivation: 95 Test item: Calculate the remainder when 37732 is divided by 109. Derivation: 18 Test item: What is the remainder when 820091 is divided by 42? Derivation: 41 Test item: Calculate the remainder when 3796 is divided by 2267. Derivation: 1529 Test item: Calculate the remainder when 24069 is divided by 65. Derivation: 19 Test item: Calculate the remainder when 1064 is divided by 178. Derivation: 174 Test item: What is the remainder when 3197 is divided by 798? Derivation: 5 Test item: What is the remainder when 63211 is divided by 31? Derivation: 2 Test item: Calculate the remainder when 314876 is divided by 104442. Derivation: 1550 Test item: Calculate the remainder when 11646 is divided by 33. Derivation: 30 Test item: Calculate the remainder when 94362 is divided by 1887. Derivation: 12 Test item: What is the remainder when 722250 is divi
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probability: swr p level set ---------------------------- Exercise: Two letters picked without replacement from bkkkkfkbbkkbkbb. Give prob of picking 1 f and 1 b. Sol: 2/35 Exercise: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, c: 5, n: 1, y: 1}. Sol: 1/15 Exercise: Four letters picked without replacement from {u: 2, j: 2, t: 4, f: 4}. What is prob of picking 1 f, 1 j, and 2 u? Sol: 8/495 Exercise: Calculate prob of picking 2 t when two letters picked without replacement from tgzggtg. Sol: 1/21 Exercise: Two letters picked without replacement from {u: 2, h: 9, j: 4, k: 4}. Give prob of picking 1 k and 1 j. Sol: 16/171 Exercise: What is prob of picking 3 t and 1 k when four letters picked without replacement from {k: 2, f: 1, v: 1, u: 1, t: 4}? Sol: 4/63 Exercise: Two letters picked without replacement from {g: 6, v: 5, p: 2}. What is prob of picking 2 v? Sol: 5/39 Exercise: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {s: 4, r: 6, h: 3}. Sol: 3/13 Exercise: Calculate prob of picking 2 s when two letters picked without replacement from sttsspttpt. Sol: 1/15 Exercise: Two letters picked without replacement from gmcmmggcgcmsg. Give prob of picking 1 s and 1 m. Sol: 2/39 Exercise: What is prob of picking 2 t when two letters picked without replacement from {t: 2, p: 3, w: 1, n: 1, v: 3}? Sol: 1/45 Exercise: What is prob of picking 2 k and 1 d when three letters picked without replacement from svvksviskisddskks? Sol: 3/170 Exercise: What is prob of picking 1 t and 1 n when two letters picked without replacement from {v: 1, x: 1, f: 2, n: 2, r: 2, t: 1}? Sol: 1/18 Exercise: What is prob of picking 2 a and 2 w when four letters picked without replacement from awwaw? Sol: 3/5 Exercise: Calculate prob of picking 1 m and 3 r when four letters picked without replacement from rrmrmrmmmm. Sol: 4/35 Exercise: Three letters picked without replacement from rtrrtrttrrttrtrtrrt. What is prob of picking
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numbers: is prime ----------------- Prompt: Is 108108737 a prime number? Result: False Prompt: Is 17631395 a composite number? Result: True Prompt: Is 229727 a composite number? Result: False Prompt: Is 1074785359 a composite number? Result: True Prompt: Is 1247167 a prime number? Result: True Prompt: Is 91493 a prime number? Result: True Prompt: Is 399475411 composite? Result: False Prompt: Is 2001397 prime? Result: True Prompt: Is 333737 a prime number? Result: True Prompt: Is 11936131 a prime number? Result: True Prompt: Is 2505358473 prime? Result: False Prompt: Is 5321837 prime? Result: True Prompt: Is 2556559 prime? Result: True Prompt: Is 28415 a composite number? Result: True Prompt: Is 822979 a composite number? Result: True Prompt: Is 1852899613 a prime number? Result: True Prompt: Is 6547543 a composite number? Result: True Prompt: Is 31477544489 prime? Result: False Prompt: Is 8848274 composite? Result: True Prompt: Is 2179 prime? Result: True Prompt: Is 2294176853 prime? Result: False Prompt: Is 65548169 a composite number? Result: False Prompt: Is 93007 composite? Result: True Prompt: Is 216131 a prime number? Result: False Prompt: Is 11269 composite? Result: True Prompt: Is 481769 composite? Result: False Prompt: Is 610286 prime? Result: False Prompt: Is 2193856901 composite? Result: False Prompt: Is 55761289 a composite number? Result: True Prompt: Is 2254260289 a composite number? Result: True Prompt: Is 895681 prime? Result: True Prompt: Is 110237 prime? Result: True Prompt: Is 27143 prime? Result: True Prompt: Is 1311906377 composite? Result: False Prompt: Is 2857 composite? Result: False Prompt: Is 42029051 a prime number? Result: True Prompt: Is 578877713 a composite number? Result: True Prompt: Is 8785004377 composite? Result: False Prompt: Is 38887308973 a prime number? Result: True Prompt: Is 959382155 a prime number? Result: False Prompt: Is 5633775293 prime? Result: True Prompt: Is 707567 a composite number? Result: True Prompt: Is 53700754
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probability: swr p sequence --------------------------- Challenge: Calculate prob of sequence pnf when three letters picked without replacement from {n: 5, p: 2, f: 6}. Finding: 5/143 Challenge: Calculate prob of sequence xtt when three letters picked without replacement from qtqtxx. Finding: 1/30 Challenge: Three letters picked without replacement from {y: 6, i: 1, n: 5, v: 1, s: 1}. Give prob of sequence syn. Finding: 5/364 Challenge: Calculate prob of sequence hoh when three letters picked without replacement from hhohhohh. Finding: 5/28 Challenge: Calculate prob of sequence dhb when three letters picked without replacement from nnbuhhnnhhhdhnnnuhb. Finding: 7/2907 Challenge: What is prob of sequence nnnn when four letters picked without replacement from nffffffnffffffnfnf? Finding: 1/3060 Challenge: What is prob of sequence iih when three letters picked without replacement from {i: 18, h: 2}? Finding: 17/190 Challenge: Four letters picked without replacement from rrrtyyrryryrrxtyxy. Give prob of sequence xtrr. Finding: 7/2295 Challenge: Two letters picked without replacement from {n: 3, p: 2, u: 1, d: 1}. Give prob of sequence du. Finding: 1/42 Challenge: Calculate prob of sequence zdd when three letters picked without replacement from zzzddzddddzzdz. Finding: 7/52 Challenge: Calculate prob of sequence wwm when three letters picked without replacement from {m: 4, w: 7}. Finding: 28/165 Challenge: Calculate prob of sequence fs when two letters picked without replacement from qskqfqzffzfff. Finding: 1/26 Challenge: Calculate prob of sequence yaa when three letters picked without replacement from {a: 4, r: 3, y: 4, i: 3}. Finding: 2/91 Challenge: Three letters picked without replacement from {w: 7, c: 3, g: 7, h: 2, u: 1}. What is prob of sequence ggu? Finding: 7/1140 Challenge: Two letters picked without replacement from {n: 1, f: 2, y: 1}. Give prob of sequence yf. Finding: 1/6 Challenge: Four letters picked without replacement from ppvvpvp. Give prob of sequence
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measurement: time ----------------- Exercise: What is 404 minutes after 1:14 AM? Solution: 7:58 AM Exercise: What is 703 minutes after 10:25 PM? Solution: 10:08 AM Exercise: How many minutes are there between 12:03 PM and 9:33 PM? Solution: 570 Exercise: How many minutes are there between 7:19 PM and 1:14 AM? Solution: 355 Exercise: What is 530 minutes before 5:18 PM? Solution: 8:28 AM Exercise: How many minutes are there between 9:14 AM and 2:27 PM? Solution: 313 Exercise: How many minutes are there between 6:06 PM and 11:10 PM? Solution: 304 Exercise: What is 552 minutes before 4:15 PM? Solution: 7:03 AM Exercise: How many minutes are there between 1:16 AM and 7:55 AM? Solution: 399 Exercise: How many minutes are there between 2:58 PM and 12:17 AM? Solution: 559 Exercise: How many minutes are there between 12:06 PM and 7:44 PM? Solution: 458 Exercise: What is 327 minutes before 9:11 PM? Solution: 3:44 PM Exercise: What is 296 minutes after 5:21 AM? Solution: 10:17 AM Exercise: How many minutes are there between 6:51 AM and 7:53 AM? Solution: 62 Exercise: How many minutes are there between 3:23 PM and 11:02 PM? Solution: 459 Exercise: How many minutes are there between 2:49 PM and 3:45 PM? Solution: 56 Exercise: How many minutes are there between 3:11 PM and 11:51 PM? Solution: 520 Exercise: How many minutes are there between 3:02 PM and 7:26 PM? Solution: 264 Exercise: How many minutes are there between 9:32 AM and 2:32 PM? Solution: 300 Exercise: How many minutes are there between 8:01 PM and 12:38 AM? Solution: 277 Exercise: What is 115 minutes before 4:33 PM? Solution: 2:38 PM Exercise: What is 38 minutes after 3:19 AM? Solution: 3:57 AM Exercise: What is 89 minutes after 8:43 AM? Solution: 10:12 AM Exercise: How many minutes are there between 3:25 PM and 11:04 PM? Solution: 459 Exercise: How many minutes are there between 1:51 AM and 1:18 PM? Solution: 687 Exercise: How many minutes are there between 7:07 AM and 1:35 PM? Solution: 388 Exercise: What is 76 minu
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numbers: is prime ----------------- Exercise: Is 1027643 a prime number? Reply: True Exercise: Is 31085111 a composite number? Reply: False Exercise: Is 615796603 a composite number? Reply: False Exercise: Is 664418897 composite? Reply: False Exercise: Is 28029097 composite? Reply: False Exercise: Is 89057603 prime? Reply: False Exercise: Is 124471 a composite number? Reply: False Exercise: Is 53759 prime? Reply: True Exercise: Is 15946549781 a composite number? Reply: False Exercise: Is 1067580797 a composite number? Reply: True Exercise: Is 347195083 composite? Reply: True Exercise: Is 209822 composite? Reply: True Exercise: Is 1302649001 a prime number? Reply: True Exercise: Is 2420366693 a prime number? Reply: False Exercise: Is 199289707 composite? Reply: True Exercise: Is 23382662357 a prime number? Reply: False Exercise: Is 55698210641 prime? Reply: True Exercise: Is 78389 prime? Reply: False Exercise: Is 3840647 composite? Reply: False Exercise: Is 12767 a composite number? Reply: True Exercise: Is 2461655021 a composite number? Reply: True Exercise: Is 6243239 composite? Reply: False Exercise: Is 74813 composite? Reply: True Exercise: Is 8135 composite? Reply: True Exercise: Is 179966 composite? Reply: True Exercise: Is 794693 composite? Reply: False Exercise: Is 369206597 composite? Reply: False Exercise: Is 977671 a composite number? Reply: False Exercise: Is 100114823 prime? Reply: False Exercise: Is 80363278207 a composite number? Reply: False Exercise: Is 449889283 a composite number? Reply: False Exercise: Is 1498921 composite? Reply: False Exercise: Is 4473013643 composite? Reply: True Exercise: Is 10154 composite? Reply: True Exercise: Is 96807103 a composite number? Reply: True Exercise: Is 197763 a composite number? Reply: True Exercise: Is 51218 composite? Reply: True Exercise: Is 511079 composite? Reply: True Exercise: Is 659676469 prime? Reply: True Exercise: Is 1824247993 composite? Reply: True Exercise: Is 273517709 a composite number? Reply:
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probability: swr p sequence --------------------------- Step: Calculate prob of sequence xoq when three letters picked without replacement from xxxoxqoxoo. Calculation: 1/36 Step: Four letters picked without replacement from {h: 5, b: 6, q: 4, l: 5}. What is prob of sequence lhbl? Calculation: 5/969 Step: Two letters picked without replacement from bmtmppm. What is prob of sequence tp? Calculation: 1/21 Step: Calculate prob of sequence cfc when three letters picked without replacement from {c: 5, f: 5, o: 1}. Calculation: 10/99 Step: Four letters picked without replacement from iwwhihhiiww. What is prob of sequence whih? Calculation: 2/165 Step: What is prob of sequence rs when two letters picked without replacement from {b: 2, s: 4, o: 1, r: 2}? Calculation: 1/9 Step: What is prob of sequence kpk when three letters picked without replacement from ckiczuiiikpp? Calculation: 1/330 Step: What is prob of sequence tu when two letters picked without replacement from tiutccicc? Calculation: 1/36 Step: Four letters picked without replacement from eweweewoowooeaaewe. Give prob of sequence aaoo. Calculation: 1/3060 Step: What is prob of sequence tot when three letters picked without replacement from {o: 1, k: 1, t: 1}? Calculation: 0 Step: Four letters picked without replacement from {p: 15, m: 3}. What is prob of sequence mmmp? Calculation: 1/816 Step: Calculate prob of sequence tt when two letters picked without replacement from {t: 2, q: 3, c: 4, f: 6, r: 2}. Calculation: 1/136 Step: Four letters picked without replacement from {z: 1, x: 1, p: 2, w: 1, e: 1, v: 1}. What is prob of sequence wezp? Calculation: 1/420 Step: Two letters picked without replacement from wijyi. What is prob of sequence jy? Calculation: 1/20 Step: Three letters picked without replacement from rwliwlriii. Give prob of sequence lwi. Calculation: 1/45 Step: What is prob of sequence oodd when four letters picked without replacement from {o: 4, d: 15}? Calculation: 35/1292 Step: Calculate prob of seque
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numbers: place value -------------------- Conundrum: What is the hundreds digit of 659? Solution: 6 Conundrum: What is the ten thousands digit of 1210543? Solution: 1 Conundrum: What is the units digit of 216? Solution: 6 Conundrum: What is the units digit of 47272? Solution: 2 Conundrum: What is the thousands digit of 22510? Solution: 2 Conundrum: What is the hundreds digit of 6315267? Solution: 2 Conundrum: What is the millions digit of 8911912? Solution: 8 Conundrum: What is the hundred thousands digit of 1177967481? Solution: 9 Conundrum: What is the ten millions digit of 69463627? Solution: 6 Conundrum: What is the thousands digit of 20117? Solution: 0 Conundrum: What is the hundreds digit of 6039604632? Solution: 6 Conundrum: What is the hundreds digit of 8554? Solution: 5 Conundrum: What is the ten thousands digit of 247376426? Solution: 7 Conundrum: What is the tens digit of 21725? Solution: 2 Conundrum: What is the units digit of 25475200? Solution: 0 Conundrum: What is the units digit of 35436959? Solution: 9 Conundrum: What is the ten thousands digit of 46100? Solution: 4 Conundrum: What is the hundreds digit of 15509352? Solution: 3 Conundrum: What is the hundred thousands digit of 287224972? Solution: 2 Conundrum: What is the units digit of 11068? Solution: 8 Conundrum: What is the ten thousands digit of 35387? Solution: 3 Conundrum: What is the ten thousands digit of 22018784? Solution: 1 Conundrum: What is the ten thousands digit of 131198? Solution: 3 Conundrum: What is the hundred thousands digit of 818470271? Solution: 4 Conundrum: What is the tens digit of 180809012? Solution: 1 Conundrum: What is the tens digit of 3454050? Solution: 5 Conundrum: What is the hundreds digit of 1095549412? Solution: 4 Conundrum: What is the hundred thousands digit of 313876442? Solution: 8 Conundrum: What is the millions digit of 183997628? Solution: 3 Conundrum: What is the hundred thousands digit of 32166247? Solution: 1 Conundrum: What is the millions digit of 18
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arithmetic: nearest integer root -------------------------------- Statement: What is the sixth root of 1015508 to the nearest integer? Conclusion: 10 Statement: What is 1613631 to the power of 1/2, to the nearest integer? Conclusion: 1270 Statement: What is 1998 to the power of 1/6, to the nearest integer? Conclusion: 4 Statement: What is the square root of 270933 to the nearest integer? Conclusion: 521 Statement: What is 33866 to the power of 1/4, to the nearest integer? Conclusion: 14 Statement: What is the tenth root of 1138233768 to the nearest integer? Conclusion: 8 Statement: What is the square root of 77787 to the nearest integer? Conclusion: 279 Statement: What is the tenth root of 161036841 to the nearest integer? Conclusion: 7 Statement: What is 161 to the power of 1/2, to the nearest integer? Conclusion: 13 Statement: What is the third root of 47570676 to the nearest integer? Conclusion: 362 Statement: What is the sixth root of 1264 to the nearest integer? Conclusion: 3 Statement: What is the ninth root of 13917463 to the nearest integer? Conclusion: 6 Statement: What is the square root of 33058 to the nearest integer? Conclusion: 182 Statement: What is 13368 to the power of 1/10, to the nearest integer? Conclusion: 3 Statement: What is the sixth root of 570892 to the nearest integer? Conclusion: 9 Statement: What is 18540479 to the power of 1/4, to the nearest integer? Conclusion: 66 Statement: What is the square root of 687 to the nearest integer? Conclusion: 26 Statement: What is the ninth root of 27204991 to the nearest integer? Conclusion: 7 Statement: What is the square root of 232496298 to the nearest integer? Conclusion: 15248 Statement: What is the third root of 36140 to the nearest integer? Conclusion: 33 Statement: What is 312154 to the power of 1/2, to the nearest integer? Conclusion: 559 Statement: What is the square root of 1214536 to the nearest integer? Conclusion: 1102 Statement: What is 4154 to the power of 1/2, to the nearest integer? C
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numbers: is prime ----------------- Item: Is 96888013 a composite number? Resolution: False Item: Is 407 prime? Resolution: False Item: Is 18637109 a prime number? Resolution: True Item: Is 6249193 a composite number? Resolution: False Item: Is 1852049 a prime number? Resolution: True Item: Is 3775511251 a composite number? Resolution: False Item: Is 6269 prime? Resolution: True Item: Is 841 composite? Resolution: True Item: Is 366552737 prime? Resolution: False Item: Is 17695394917 prime? Resolution: True Item: Is 91493 a prime number? Resolution: True Item: Is 9338253967 prime? Resolution: False Item: Is 15721659971 a prime number? Resolution: True Item: Is 36295334093 composite? Resolution: False Item: Is 23466763 prime? Resolution: True Item: Is 502633501 a prime number? Resolution: False Item: Is 7479467 prime? Resolution: True Item: Is 342929 a prime number? Resolution: True Item: Is 3318884399 a prime number? Resolution: True Item: Is 191647 a composite number? Resolution: True Item: Is 3047 composite? Resolution: True Item: Is 69554057 a prime number? Resolution: False Item: Is 1583763 prime? Resolution: False Item: Is 211621 prime? Resolution: False Item: Is 756011 a prime number? Resolution: True Item: Is 14499503 prime? Resolution: True Item: Is 108628294 a composite number? Resolution: True Item: Is 6950303 prime? Resolution: True Item: Is 27223 a composite number? Resolution: True Item: Is 168822907 a prime number? Resolution: False Item: Is 8371869271 a composite number? Resolution: False Item: Is 58617861389 a prime number? Resolution: True Item: Is 113341 prime? Resolution: True Item: Is 693167809 prime? Resolution: False Item: Is 1386858233 prime? Resolution: False Item: Is 17585 a prime number? Resolution: False Item: Is 1682762579 a prime number? Resolution: False Item: Is 9385 a composite number? Resolution: True Item: Is 4009 composite? Resolution: True Item: Is 30994 prime? Resolution: False Item: Is 20916845 prime? Resolution: False Item: Is 7
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probability: swr p level set ---------------------------- Qn: Three letters picked without replacement from {j: 1, r: 2, h: 2}. What is prob of picking 1 j, 1 r, and 1 h? Math A: 2/5 Qn: What is prob of picking 2 d when two letters picked without replacement from {d: 5}? Math A: 1 Qn: Two letters picked without replacement from {n: 2, x: 1, k: 1, u: 1, f: 2}. What is prob of picking 2 f? Math A: 1/21 Qn: Calculate prob of picking 1 a and 3 v when four letters picked without replacement from vpvpaapvffccp. Math A: 2/715 Qn: What is prob of picking 4 m when four letters picked without replacement from mmkmkm? Math A: 1/15 Qn: Four letters picked without replacement from {q: 3, t: 1, s: 3, c: 4, m: 8}. What is prob of picking 1 q, 1 s, 1 m, and 1 t? Math A: 6/323 Qn: Three letters picked without replacement from {z: 5, q: 3}. What is prob of picking 3 q? Math A: 1/56 Qn: What is prob of picking 1 y and 1 b when two letters picked without replacement from xbybye? Math A: 4/15 Qn: What is prob of picking 3 e when three letters picked without replacement from xexxeexxxxx? Math A: 1/165 Qn: Four letters picked without replacement from {k: 4, e: 3, l: 3, t: 3, z: 4}. Give prob of picking 2 l, 1 e, and 1 z. Math A: 9/595 Qn: What is prob of picking 1 o, 2 p, and 1 n when four letters picked without replacement from pppvnot? Math A: 3/35 Qn: Three letters picked without replacement from saaasa. Give prob of picking 1 s and 2 a. Math A: 3/5 Qn: What is prob of picking 1 d and 1 b when two letters picked without replacement from {v: 3, b: 2, d: 1, g: 8, i: 5, y: 1}? Math A: 1/95 Qn: Four letters picked without replacement from {e: 1, j: 2, f: 3, p: 3, z: 1, g: 9}. What is prob of picking 1 j, 1 e, 1 f, and 1 p? Math A: 3/646 Qn: Four letters picked without replacement from bnknbbnnnnnbnbbnnbnn. What is prob of picking 2 b and 2 n? Math A: 462/1615 Qn: Two letters picked without replacement from {q: 2, x: 1, e: 1}. What is prob of picking 1 q and 1 e? Math A: 1/3 Qn: What is pro
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numbers: gcd ------------ Q: What is the highest common factor of 5559 and 1199? Eval: 109 Q: Calculate the highest common factor of 14 and 400386. Eval: 14 Q: What is the greatest common factor of 2718 and 37975594? Eval: 302 Q: Calculate the greatest common factor of 326985330 and 430. Eval: 430 Q: What is the highest common factor of 21728 and 46592? Eval: 224 Q: What is the greatest common factor of 29 and 725? Eval: 29 Q: Calculate the highest common factor of 387 and 27. Eval: 9 Q: Calculate the greatest common divisor of 3832639600 and 12440. Eval: 12440 Q: Calculate the highest common divisor of 1175 and 2. Eval: 1 Q: Calculate the highest common factor of 259 and 45438812. Eval: 37 Q: What is the highest common divisor of 55750 and 5030? Eval: 10 Q: What is the highest common factor of 9882 and 75771? Eval: 9 Q: Calculate the highest common factor of 240 and 1040. Eval: 80 Q: Calculate the highest common divisor of 219 and 1321592. Eval: 73 Q: What is the greatest common factor of 3624 and 9546? Eval: 6 Q: What is the greatest common divisor of 10 and 16? Eval: 2 Q: Calculate the greatest common factor of 22 and 418. Eval: 22 Q: What is the greatest common factor of 3558 and 114? Eval: 6 Q: What is the greatest common factor of 1053 and 445257? Eval: 81 Q: What is the highest common factor of 7452 and 1161? Eval: 27 Q: Calculate the highest common factor of 1441 and 56276. Eval: 11 Q: Calculate the highest common divisor of 16 and 1997350224. Eval: 16 Q: What is the greatest common factor of 33872 and 1477376? Eval: 464 Q: Calculate the greatest common factor of 91 and 3367. Eval: 91 Q: Calculate the greatest common factor of 387 and 7267. Eval: 43 Q: Calculate the highest common divisor of 4977 and 11060. Eval: 553 Q: What is the highest common divisor of 117 and 975? Eval: 39 Q: What is the highest common divisor of 2527437565 and 415? Eval: 415 Q: What is the greatest common divisor of 4328 and 24? Eval: 8 Q: What is the highest common factor of 70 and 2
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numbers: is factor ------------------ Test item: Is 79703 a multiple of 466? Soln: False Test item: Is 4 a factor of 1664? Soln: True Test item: Does 6 divide 86? Soln: False Test item: Is 12 a factor of 23042803? Soln: False Test item: Does 1329 divide 153770616? Soln: True Test item: Does 33 divide 5369576553? Soln: True Test item: Does 2 divide 5595? Soln: False Test item: Is 11 a factor of 528? Soln: True Test item: Does 118 divide 1416? Soln: True Test item: Is 8894548 a multiple of 21? Soln: False Test item: Is 14 a factor of 11774? Soln: True Test item: Is 8369 a multiple of 10? Soln: False Test item: Is 146853824 a multiple of 61? Soln: False Test item: Is 1027 a multiple of 13? Soln: True Test item: Is 8 a factor of 714709736? Soln: True Test item: Is 246 a factor of 2304492? Soln: False Test item: Is 843 a factor of 116684352? Soln: False Test item: Is 882 a multiple of 42? Soln: True Test item: Is 832 a factor of 14615608? Soln: False Test item: Does 103 divide 1339? Soln: True Test item: Is 5517527 a multiple of 562? Soln: False Test item: Is 1281 a multiple of 9? Soln: False Test item: Is 324 a factor of 37271967? Soln: False Test item: Is 19474 even? Soln: True Test item: Does 172 divide 40936? Soln: True Test item: Does 29 divide 6032? Soln: True Test item: Does 145 divide 13050? Soln: True Test item: Is 324316564 a multiple of 52? Soln: True Test item: Is 1268 a multiple of 29? Soln: False Test item: Is 19380 a multiple of 51? Soln: True Test item: Does 12 divide 1456668? Soln: True Test item: Is 268484803 a multiple of 982? Soln: False Test item: Is 1309644 a multiple of 36? Soln: True Test item: Is 5 a factor of 1064? Soln: False Test item: Is 166819 a multiple of 5? Soln: False Test item: Is 837885178 a multiple of 2863? Soln: False Test item: Does 25 divide 28116925? Soln: True Test item: Is 810 a multiple of 36? Soln: False Test item: Is 67343973 a multiple of 348? Soln: False Test item: Does 3 divide 1404? Soln: True Test item: Is 14 a factor o
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numbers: div remainder ---------------------- Q/A: Calculate the remainder when 1151 is divided by 11. Eval: 7 Q/A: Calculate the remainder when 92 is divided by 19. Eval: 16 Q/A: Calculate the remainder when 46941 is divided by 49. Eval: 48 Q/A: Calculate the remainder when 102201 is divided by 137. Eval: 136 Q/A: What is the remainder when 8573286 is divided by 2143317? Eval: 18 Q/A: Calculate the remainder when 3431 is divided by 80. Eval: 71 Q/A: Calculate the remainder when 7032 is divided by 3188. Eval: 656 Q/A: Calculate the remainder when 883 is divided by 882. Eval: 1 Q/A: What is the remainder when 14941841 is divided by 59? Eval: 32 Q/A: What is the remainder when 121 is divided by 35? Eval: 16 Q/A: Calculate the remainder when 717 is divided by 279. Eval: 159 Q/A: Calculate the remainder when 30597 is divided by 15007. Eval: 583 Q/A: Calculate the remainder when 2551 is divided by 35. Eval: 31 Q/A: What is the remainder when 60 is divided by 48? Eval: 12 Q/A: Calculate the remainder when 66481 is divided by 1309. Eval: 1031 Q/A: Calculate the remainder when 58260 is divided by 14159. Eval: 1624 Q/A: Calculate the remainder when 866318 is divided by 178. Eval: 170 Q/A: Calculate the remainder when 99411 is divided by 1014. Eval: 39 Q/A: Calculate the remainder when 811 is divided by 11. Eval: 8 Q/A: What is the remainder when 18685 is divided by 2662? Eval: 51 Q/A: What is the remainder when 306 is divided by 106? Eval: 94 Q/A: What is the remainder when 1357053 is divided by 76? Eval: 73 Q/A: Calculate the remainder when 85381 is divided by 1279. Eval: 967 Q/A: Calculate the remainder when 5339 is divided by 535. Eval: 524 Q/A: What is the remainder when 19255204 is divided by 202686? Eval: 34 Q/A: Calculate the remainder when 64152 is divided by 91. Eval: 88 Q/A: What is the remainder when 180 is divided by 48? Eval: 36 Q/A: What is the remainder when 3341 is divided by 28? Eval: 9 Q/A: Calculate the remainder when 632152 is divided by 14. Eval: 10 Q/A:
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measurement: time ----------------- Task: How many minutes are there between 3:03 AM and 3:53 AM? Answer: 50 Task: How many minutes are there between 8:57 AM and 2:34 PM? Answer: 337 Task: What is 249 minutes before 5:14 AM? Answer: 1:05 AM Task: How many minutes are there between 3:40 PM and 6:19 PM? Answer: 159 Task: How many minutes are there between 11:31 AM and 4:05 PM? Answer: 274 Task: What is 707 minutes before 2:17 AM? Answer: 2:30 PM Task: How many minutes are there between 1:11 PM and 12:57 AM? Answer: 706 Task: How many minutes are there between 2:41 PM and 4:48 PM? Answer: 127 Task: How many minutes are there between 11:55 PM and 11:57 PM? Answer: 2 Task: How many minutes are there between 10:48 AM and 4:11 PM? Answer: 323 Task: How many minutes are there between 8:28 AM and 6:53 PM? Answer: 625 Task: What is 202 minutes after 7:27 PM? Answer: 10:49 PM Task: How many minutes are there between 9:34 AM and 8:39 PM? Answer: 665 Task: How many minutes are there between 6:38 AM and 9:25 AM? Answer: 167 Task: What is 611 minutes after 4:59 AM? Answer: 3:10 PM Task: What is 240 minutes after 2:18 PM? Answer: 6:18 PM Task: How many minutes are there between 1:41 AM and 3:09 AM? Answer: 88 Task: What is 10 minutes before 5:17 AM? Answer: 5:07 AM Task: How many minutes are there between 9:17 AM and 1:30 PM? Answer: 253 Task: What is 528 minutes after 10:10 PM? Answer: 6:58 AM Task: What is 400 minutes before 3:43 PM? Answer: 9:03 AM Task: What is 404 minutes before 4:43 AM? Answer: 9:59 PM Task: What is 639 minutes before 6:04 AM? Answer: 7:25 PM Task: What is 517 minutes before 10:14 AM? Answer: 1:37 AM Task: How many minutes are there between 8:47 PM and 7:34 AM? Answer: 647 Task: How many minutes are there between 1:07 AM and 8:59 AM? Answer: 472 Task: How many minutes are there between 9:52 AM and 5:18 PM? Answer: 446 Task: What is 353 minutes before 12:54 PM? Answer: 7:01 AM Task: What is 332 minutes after 7:22 PM? Answer: 12:54 AM Task: How many minutes are
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measurement: time ----------------- Math Q: How many minutes are there between 6:53 AM and 4:50 PM? Math A: 597 Math Q: What is 488 minutes after 1:47 PM? Math A: 9:55 PM Math Q: How many minutes are there between 8:30 PM and 1:04 AM? Math A: 274 Math Q: What is 274 minutes before 10:47 AM? Math A: 6:13 AM Math Q: How many minutes are there between 8:38 PM and 8:26 AM? Math A: 708 Math Q: How many minutes are there between 11:35 AM and 10:00 PM? Math A: 625 Math Q: What is 488 minutes before 5:37 PM? Math A: 9:29 AM Math Q: How many minutes are there between 9:08 AM and 6:57 PM? Math A: 589 Math Q: What is 154 minutes after 5:31 AM? Math A: 8:05 AM Math Q: How many minutes are there between 4:17 AM and 2:04 PM? Math A: 587 Math Q: How many minutes are there between 1:49 AM and 4:24 AM? Math A: 155 Math Q: What is 303 minutes before 6:57 PM? Math A: 1:54 PM Math Q: What is 89 minutes after 4:24 PM? Math A: 5:53 PM Math Q: How many minutes are there between 8:33 AM and 11:55 AM? Math A: 202 Math Q: How many minutes are there between 8:28 AM and 4:41 PM? Math A: 493 Math Q: What is 703 minutes before 5:51 AM? Math A: 6:08 PM Math Q: How many minutes are there between 3:43 AM and 5:27 AM? Math A: 104 Math Q: What is 62 minutes before 1:20 AM? Math A: 12:18 AM Math Q: What is 391 minutes after 11:43 PM? Math A: 6:14 AM Math Q: What is 176 minutes before 5:23 PM? Math A: 2:27 PM Math Q: What is 51 minutes before 9:29 PM? Math A: 8:38 PM Math Q: How many minutes are there between 4:45 AM and 1:13 PM? Math A: 508 Math Q: What is 688 minutes before 10:40 PM? Math A: 11:12 AM Math Q: What is 394 minutes after 10:33 AM? Math A: 5:07 PM Math Q: What is 596 minutes before 2:17 AM? Math A: 4:21 PM Math Q: What is 170 minutes before 4:01 PM? Math A: 1:11 PM Math Q: How many minutes are there between 10:56 PM and 7:44 AM? Math A: 528 Math Q: What is 238 minutes after 1:11 AM? Math A: 5:09 AM Math Q: What is 155 minutes after 9:08 AM? Math A: 11:43 AM Math Q: What is 353 minutes bef
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probability: swr p level set ---------------------------- Prompt: Two letters picked without replacement from {t: 1, v: 1, k: 1}. What is prob of picking 1 t and 1 v? Derivation: 1/3 Prompt: Three letters picked without replacement from {n: 9, q: 10}. What is prob of picking 1 q and 2 n? Derivation: 120/323 Prompt: What is prob of picking 1 u and 2 k when three letters picked without replacement from bbukkukkukkkkgkubkk? Derivation: 220/969 Prompt: Four letters picked without replacement from {y: 2, g: 6, w: 7}. What is prob of picking 3 w and 1 g? Derivation: 2/13 Prompt: What is prob of picking 1 m and 1 e when two letters picked without replacement from eeeemqqqqqeeqqme? Derivation: 7/60 Prompt: Two letters picked without replacement from bbeeebbbbbb. What is prob of picking 2 e? Derivation: 3/55 Prompt: Three letters picked without replacement from {v: 3, d: 11, i: 4}. What is prob of picking 1 v, 1 i, and 1 d? Derivation: 11/68 Prompt: What is prob of picking 2 j and 1 m when three letters picked without replacement from {j: 1, b: 1, m: 1, r: 1, q: 1}? Derivation: 0 Prompt: Four letters picked without replacement from {h: 4, n: 2, e: 1}. What is prob of picking 4 h? Derivation: 1/35 Prompt: Two letters picked without replacement from {z: 4, i: 4, n: 2}. What is prob of picking 2 n? Derivation: 1/45 Prompt: Two letters picked without replacement from fknkfkfkff. Give prob of picking 1 f and 1 n. Derivation: 1/9 Prompt: What is prob of picking 2 w, 1 q, and 1 o when four letters picked without replacement from oowowqcccqfqcwwoqoww? Derivation: 20/323 Prompt: Two letters picked without replacement from {z: 10}. What is prob of picking 2 z? Derivation: 1 Prompt: What is prob of picking 1 u, 1 o, and 2 e when four letters picked without replacement from hxhuxehxwouheo? Derivation: 4/1001 Prompt: Four letters picked without replacement from {r: 1, c: 1, v: 1, q: 1, u: 2, z: 1}. What is prob of picking 2 c and 2 u? Derivation: 0 Prompt: Calculate prob of picking 2 u w
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numbers: div remainder ---------------------- Question: What is the remainder when 8977 is divided by 143? Final Answer: 111 Question: What is the remainder when 102102808 is divided by 15? Final Answer: 13 Question: Calculate the remainder when 1346890 is divided by 20. Final Answer: 10 Question: Calculate the remainder when 915 is divided by 131. Final Answer: 129 Question: What is the remainder when 25740 is divided by 8504? Final Answer: 228 Question: Calculate the remainder when 6737 is divided by 1622. Final Answer: 249 Question: Calculate the remainder when 1893491 is divided by 61. Final Answer: 51 Question: Calculate the remainder when 30314931 is divided by 57. Final Answer: 51 Question: What is the remainder when 41755 is divided by 20857? Final Answer: 41 Question: Calculate the remainder when 113 is divided by 7. Final Answer: 1 Question: Calculate the remainder when 405 is divided by 112. Final Answer: 69 Question: Calculate the remainder when 797 is divided by 580. Final Answer: 217 Question: What is the remainder when 17975 is divided by 31? Final Answer: 26 Question: Calculate the remainder when 155666 is divided by 38866. Final Answer: 202 Question: Calculate the remainder when 1865638 is divided by 93276. Final Answer: 118 Question: Calculate the remainder when 309 is divided by 99. Final Answer: 12 Question: What is the remainder when 30449 is divided by 42? Final Answer: 41 Question: What is the remainder when 2206217 is divided by 2233? Final Answer: 13 Question: What is the remainder when 131 is divided by 24? Final Answer: 11 Question: Calculate the remainder when 2595843 is divided by 3939. Final Answer: 42 Question: What is the remainder when 293702 is divided by 421? Final Answer: 265 Question: What is the remainder when 8711 is divided by 9? Final Answer: 8 Question: What is the remainder when 2277 is divided by 37? Final Answer: 20 Question: What is the remainder when 1214 is divided by 404? Final Answer: 2 Question: Calculate the remain
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numbers: gcd ------------ Let: What is the greatest common factor of 12453 and 21? Ans: 21 Let: Calculate the highest common divisor of 108156 and 66816. Ans: 12 Let: What is the greatest common factor of 2445 and 405? Ans: 15 Let: What is the highest common factor of 1189985 and 145? Ans: 5 Let: Calculate the highest common divisor of 97056 and 72. Ans: 72 Let: Calculate the greatest common divisor of 1812 and 24. Ans: 12 Let: Calculate the greatest common divisor of 117970 and 1565738. Ans: 502 Let: Calculate the highest common factor of 3105 and 135. Ans: 135 Let: Calculate the highest common factor of 14880 and 1674. Ans: 186 Let: What is the highest common divisor of 9869235 and 146? Ans: 73 Let: What is the highest common divisor of 309 and 99639419? Ans: 103 Let: Calculate the greatest common divisor of 14973380 and 80. Ans: 20 Let: What is the greatest common factor of 101 and 34? Ans: 1 Let: Calculate the greatest common divisor of 329 and 1175. Ans: 47 Let: What is the highest common factor of 58 and 322306? Ans: 58 Let: What is the greatest common divisor of 30 and 145? Ans: 5 Let: Calculate the greatest common factor of 18 and 1494. Ans: 18 Let: Calculate the highest common divisor of 336884 and 4. Ans: 4 Let: What is the greatest common factor of 17328 and 26688? Ans: 48 Let: Calculate the greatest common factor of 26151 and 21948648. Ans: 1137 Let: Calculate the highest common factor of 735 and 1092. Ans: 21 Let: What is the greatest common divisor of 120 and 30672? Ans: 24 Let: What is the highest common divisor of 9 and 9? Ans: 9 Let: Calculate the highest common divisor of 52 and 299. Ans: 13 Let: What is the highest common divisor of 3 and 10873815? Ans: 3 Let: What is the highest common divisor of 296 and 2812? Ans: 148 Let: What is the greatest common factor of 1209 and 4888299? Ans: 39 Let: Calculate the greatest common factor of 7047 and 2436. Ans: 87 Let: What is the highest common divisor of 1 and 16? Ans: 1 Let: Calculate the highest common
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measurement: time ----------------- Step: How many minutes are there between 4:09 PM and 10:09 PM? Answer: 360 Step: What is 493 minutes after 12:50 PM? Answer: 9:03 PM Step: What is 54 minutes after 9:05 PM? Answer: 9:59 PM Step: What is 587 minutes after 1:44 PM? Answer: 11:31 PM Step: What is 25 minutes before 5:42 PM? Answer: 5:17 PM Step: What is 557 minutes after 6:05 AM? Answer: 3:22 PM Step: How many minutes are there between 3:17 AM and 2:32 PM? Answer: 675 Step: What is 166 minutes before 2:13 AM? Answer: 11:27 PM Step: What is 40 minutes after 3:34 PM? Answer: 4:14 PM Step: How many minutes are there between 10:08 PM and 5:33 AM? Answer: 445 Step: What is 158 minutes before 2:10 PM? Answer: 11:32 AM Step: What is 707 minutes before 2:21 AM? Answer: 2:34 PM Step: How many minutes are there between 6:23 PM and 8:18 PM? Answer: 115 Step: What is 581 minutes before 8:05 PM? Answer: 10:24 AM Step: What is 197 minutes before 11:34 PM? Answer: 8:17 PM Step: How many minutes are there between 6:03 AM and 12:14 PM? Answer: 371 Step: How many minutes are there between 8:08 PM and 7:39 AM? Answer: 691 Step: What is 305 minutes after 4:21 AM? Answer: 9:26 AM Step: What is 532 minutes after 7:44 AM? Answer: 4:36 PM Step: What is 354 minutes after 9:07 PM? Answer: 3:01 AM Step: How many minutes are there between 4:47 PM and 10:31 PM? Answer: 344 Step: How many minutes are there between 9:55 PM and 8:26 AM? Answer: 631 Step: What is 209 minutes before 3:04 PM? Answer: 11:35 AM Step: How many minutes are there between 8:36 AM and 1:01 PM? Answer: 265 Step: What is 644 minutes after 5:19 PM? Answer: 4:03 AM Step: How many minutes are there between 8:45 AM and 8:51 AM? Answer: 6 Step: What is 171 minutes before 11:34 PM? Answer: 8:43 PM Step: How many minutes are there between 12:17 PM and 12:42 PM? Answer: 25 Step: How many minutes are there between 8:29 PM and 2:01 AM? Answer: 332 Step: How many minutes are there between 4:11 PM and 7:25 PM? Answer: 194 Step: What is 468
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measurement: time ----------------- Q/A: What is 699 minutes after 9:47 AM? Derivation: 9:26 PM Q/A: How many minutes are there between 12:50 AM and 1:10 AM? Derivation: 20 Q/A: What is 474 minutes after 5:51 PM? Derivation: 1:45 AM Q/A: What is 172 minutes after 6:36 AM? Derivation: 9:28 AM Q/A: What is 472 minutes before 4:44 AM? Derivation: 8:52 PM Q/A: What is 703 minutes after 3:44 AM? Derivation: 3:27 PM Q/A: What is 616 minutes before 2:11 PM? Derivation: 3:55 AM Q/A: What is 250 minutes before 7:23 PM? Derivation: 3:13 PM Q/A: How many minutes are there between 3:34 AM and 11:39 AM? Derivation: 485 Q/A: How many minutes are there between 6:59 AM and 4:55 PM? Derivation: 596 Q/A: What is 156 minutes before 8:25 AM? Derivation: 5:49 AM Q/A: How many minutes are there between 2:41 PM and 12:51 AM? Derivation: 610 Q/A: How many minutes are there between 10:20 PM and 11:16 PM? Derivation: 56 Q/A: How many minutes are there between 2:45 PM and 9:12 PM? Derivation: 387 Q/A: How many minutes are there between 8:44 PM and 10:16 PM? Derivation: 92 Q/A: What is 322 minutes before 5:56 PM? Derivation: 12:34 PM Q/A: What is 699 minutes after 12:45 AM? Derivation: 12:24 PM Q/A: How many minutes are there between 4:29 PM and 4:41 PM? Derivation: 12 Q/A: What is 25 minutes before 4:24 PM? Derivation: 3:59 PM Q/A: How many minutes are there between 8:24 PM and 3:32 AM? Derivation: 428 Q/A: How many minutes are there between 1:17 PM and 3:53 PM? Derivation: 156 Q/A: How many minutes are there between 10:47 AM and 10:32 PM? Derivation: 705 Q/A: What is 682 minutes before 10:41 PM? Derivation: 11:19 AM Q/A: What is 373 minutes before 10:28 PM? Derivation: 4:15 PM Q/A: How many minutes are there between 1:49 AM and 8:33 AM? Derivation: 404 Q/A: What is 398 minutes before 1:27 PM? Derivation: 6:49 AM Q/A: What is 344 minutes before 5:53 PM? Derivation: 12:09 PM Q/A: How many minutes are there between 6:18 AM and 8:09 AM? Derivation: 111 Q/A: What is 117 minutes after 3:50 PM? Der
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numbers: is prime ----------------- Scenario: Is 74313289 a composite number? Answer: False Scenario: Is 633079 composite? Answer: False Scenario: Is 2756207 composite? Answer: False Scenario: Is 45398870653 composite? Answer: False Scenario: Is 27637 a composite number? Answer: True Scenario: Is 433229 prime? Answer: True Scenario: Is 130837 prime? Answer: False Scenario: Is 10631407 a composite number? Answer: True Scenario: Is 9732937 prime? Answer: False Scenario: Is 5431 a composite number? Answer: False Scenario: Is 579399 composite? Answer: True Scenario: Is 2469517969 prime? Answer: True Scenario: Is 570569 composite? Answer: False Scenario: Is 144734 a prime number? Answer: False Scenario: Is 34332195769 a composite number? Answer: False Scenario: Is 1177493909 prime? Answer: True Scenario: Is 230623 prime? Answer: False Scenario: Is 3821 composite? Answer: False Scenario: Is 8345787727 prime? Answer: False Scenario: Is 9917065 a prime number? Answer: False Scenario: Is 3877 composite? Answer: False Scenario: Is 12603 a composite number? Answer: True Scenario: Is 362521 a prime number? Answer: True Scenario: Is 33637 a prime number? Answer: True Scenario: Is 3611 composite? Answer: True Scenario: Is 18624015523 a prime number? Answer: True Scenario: Is 39499 a composite number? Answer: False Scenario: Is 631050187 a prime number? Answer: False Scenario: Is 90973 composite? Answer: True Scenario: Is 347801 composite? Answer: False Scenario: Is 4127 a composite number? Answer: False Scenario: Is 29191793 a prime number? Answer: True Scenario: Is 5604293 a prime number? Answer: False Scenario: Is 7291411 composite? Answer: False Scenario: Is 34038710338 prime? Answer: False Scenario: Is 159631099 prime? Answer: True Scenario: Is 32741117 a composite number? Answer: False Scenario: Is 1640918 composite? Answer: True Scenario: Is 260051287 prime? Answer: True Scenario: Is 97205255293 prime? Answer: True Scenario: Is 1556019037 composite? Answer: False Scenario:
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measurement: time ----------------- Conundrum: What is 524 minutes after 1:01 PM? Gives: 9:45 PM Conundrum: How many minutes are there between 2:19 PM and 1:19 AM? Gives: 660 Conundrum: How many minutes are there between 4:24 AM and 8:07 AM? Gives: 223 Conundrum: What is 589 minutes before 11:36 AM? Gives: 1:47 AM Conundrum: How many minutes are there between 10:10 AM and 12:29 PM? Gives: 139 Conundrum: What is 625 minutes before 1:26 AM? Gives: 3:01 PM Conundrum: What is 706 minutes after 10:15 AM? Gives: 10:01 PM Conundrum: How many minutes are there between 11:30 PM and 1:33 AM? Gives: 123 Conundrum: What is 617 minutes before 8:48 PM? Gives: 10:31 AM Conundrum: What is 639 minutes after 7:57 AM? Gives: 6:36 PM Conundrum: What is 585 minutes after 2:54 AM? Gives: 12:39 PM Conundrum: How many minutes are there between 9:28 PM and 8:45 AM? Gives: 677 Conundrum: How many minutes are there between 1:45 AM and 1:31 PM? Gives: 706 Conundrum: How many minutes are there between 8:56 PM and 1:02 AM? Gives: 246 Conundrum: What is 127 minutes after 9:39 PM? Gives: 11:46 PM Conundrum: How many minutes are there between 3:12 PM and 5:27 PM? Gives: 135 Conundrum: How many minutes are there between 4:18 AM and 6:28 AM? Gives: 130 Conundrum: What is 687 minutes before 7:55 AM? Gives: 8:28 PM Conundrum: How many minutes are there between 7:06 PM and 10:11 PM? Gives: 185 Conundrum: How many minutes are there between 1:22 AM and 3:34 AM? Gives: 132 Conundrum: What is 126 minutes before 1:25 PM? Gives: 11:19 AM Conundrum: How many minutes are there between 12:59 PM and 3:11 PM? Gives: 132 Conundrum: What is 691 minutes after 4:21 PM? Gives: 3:52 AM Conundrum: What is 704 minutes before 2:21 AM? Gives: 2:37 PM Conundrum: What is 596 minutes after 6:38 PM? Gives: 4:34 AM Conundrum: How many minutes are there between 7:27 AM and 8:56 AM? Gives: 89 Conundrum: What is 33 minutes after 5:20 PM? Gives: 5:53 PM Conundrum: How many minutes are there between 11:12 AM and 9:00 PM? Gives: 588 C
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numbers: div remainder ---------------------- Subquestion: What is the remainder when 159 is divided by 23? A.: 21 Subquestion: What is the remainder when 586754 is divided by 195546? A.: 116 Subquestion: Calculate the remainder when 176 is divided by 12. A.: 8 Subquestion: What is the remainder when 10203 is divided by 27? A.: 24 Subquestion: What is the remainder when 417792694 is divided by 8? A.: 6 Subquestion: What is the remainder when 1913 is divided by 35? A.: 23 Subquestion: What is the remainder when 187 is divided by 82? A.: 23 Subquestion: What is the remainder when 366990 is divided by 10181? A.: 474 Subquestion: What is the remainder when 539 is divided by 473? A.: 66 Subquestion: Calculate the remainder when 491396 is divided by 504. A.: 500 Subquestion: What is the remainder when 69 is divided by 2? A.: 1 Subquestion: Calculate the remainder when 305854 is divided by 172. A.: 38 Subquestion: What is the remainder when 7457 is divided by 902? A.: 241 Subquestion: Calculate the remainder when 218883512 is divided by 6. A.: 2 Subquestion: What is the remainder when 99 is divided by 21? A.: 15 Subquestion: Calculate the remainder when 7286798 is divided by 9914. A.: 8 Subquestion: What is the remainder when 40499 is divided by 5776? A.: 67 Subquestion: What is the remainder when 3078002 is divided by 69? A.: 50 Subquestion: Calculate the remainder when 326563 is divided by 28. A.: 27 Subquestion: What is the remainder when 755368 is divided by 1918? A.: 1594 Subquestion: Calculate the remainder when 404493 is divided by 1280. A.: 13 Subquestion: Calculate the remainder when 58 is divided by 40. A.: 18 Subquestion: Calculate the remainder when 3208 is divided by 1064. A.: 16 Subquestion: Calculate the remainder when 8313 is divided by 2078. A.: 1 Subquestion: What is the remainder when 1211 is divided by 554? A.: 103 Subquestion: Calculate the remainder when 39193630 is divided by 845. A.: 840 Subquestion: What is the remainder when 361 is divided by 178?
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measurement: time ----------------- Given: How many minutes are there between 12:20 PM and 5:22 PM? Response: 302 Given: How many minutes are there between 4:10 PM and 6:32 PM? Response: 142 Given: What is 279 minutes after 6:50 PM? Response: 11:29 PM Given: What is 578 minutes after 12:32 PM? Response: 10:10 PM Given: What is 546 minutes before 6:55 AM? Response: 9:49 PM Given: How many minutes are there between 1:33 PM and 5:29 PM? Response: 236 Given: How many minutes are there between 1:55 PM and 8:35 PM? Response: 400 Given: How many minutes are there between 7:50 AM and 1:00 PM? Response: 310 Given: How many minutes are there between 6:20 PM and 5:53 AM? Response: 693 Given: What is 132 minutes after 9:21 AM? Response: 11:33 AM Given: How many minutes are there between 11:55 PM and 4:32 AM? Response: 277 Given: How many minutes are there between 6:59 PM and 8:02 PM? Response: 63 Given: What is 44 minutes after 12:03 AM? Response: 12:47 AM Given: What is 207 minutes before 10:04 PM? Response: 6:37 PM Given: What is 102 minutes before 4:47 AM? Response: 3:05 AM Given: What is 546 minutes after 4:11 PM? Response: 1:17 AM Given: How many minutes are there between 5:57 AM and 11:19 AM? Response: 322 Given: What is 678 minutes after 10:16 AM? Response: 9:34 PM Given: How many minutes are there between 6:11 AM and 4:00 PM? Response: 589 Given: How many minutes are there between 7:04 PM and 5:35 AM? Response: 631 Given: What is 703 minutes after 3:17 PM? Response: 3:00 AM Given: What is 679 minutes before 2:13 PM? Response: 2:54 AM Given: How many minutes are there between 4:45 PM and 10:17 PM? Response: 332 Given: How many minutes are there between 10:30 PM and 5:26 AM? Response: 416 Given: How many minutes are there between 7:08 AM and 7:02 PM? Response: 714 Given: What is 142 minutes before 4:54 AM? Response: 2:32 AM Given: What is 524 minutes after 9:52 PM? Response: 6:36 AM Given: What is 672 minutes before 6:52 PM? Response: 7:40 AM Given: What is 414 minutes be
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probability: swr p level set ---------------------------- Case: What is prob of picking 1 b and 1 v when two letters picked without replacement from bkqrkbqkvkkkvq? Eval: 4/91 Case: Four letters picked without replacement from kvkkvvvkkkk. What is prob of picking 2 k and 2 v? Eval: 21/55 Case: Four letters picked without replacement from {y: 1, h: 1, u: 2, b: 1}. What is prob of picking 1 h, 1 u, 1 y, and 1 b? Eval: 2/5 Case: Two letters picked without replacement from ppqqfbp. What is prob of picking 1 p and 1 b? Eval: 1/7 Case: What is prob of picking 1 t and 3 j when four letters picked without replacement from {c: 2, j: 4, t: 4}? Eval: 8/105 Case: Two letters picked without replacement from {g: 1, t: 2, x: 1, b: 2, z: 2}. Give prob of picking 1 t and 1 b. Eval: 1/7 Case: Two letters picked without replacement from xaaafffafffaxaa. Give prob of picking 2 f. Eval: 1/7 Case: Three letters picked without replacement from oooromcllcccccooomc. Give prob of picking 1 r and 2 c. Eval: 7/323 Case: What is prob of picking 3 s and 1 h when four letters picked without replacement from {w: 7, h: 5, s: 4}? Eval: 1/91 Case: Two letters picked without replacement from aqqjyiqqa. Give prob of picking 1 j and 1 i. Eval: 1/36 Case: Calculate prob of picking 4 f when four letters picked without replacement from ffqffqqqqqffqqfq. Eval: 1/52 Case: Three letters picked without replacement from {v: 2, c: 1, d: 6, p: 7, s: 1}. What is prob of picking 1 c, 1 p, and 1 d? Eval: 21/340 Case: Two letters picked without replacement from {y: 1, k: 1, d: 1, w: 1, f: 1}. What is prob of picking 1 w and 1 y? Eval: 1/10 Case: Two letters picked without replacement from {g: 1, n: 1, y: 2, a: 4, o: 1, h: 6}. What is prob of picking 1 a and 1 y? Eval: 8/105 Case: Calculate prob of picking 2 c when two letters picked without replacement from {r: 5, c: 3}. Eval: 3/28 Case: What is prob of picking 1 l and 1 q when two letters picked without replacement from qrqlqrlrqrqqbbb? Eval: 4/35 Case: Two letters
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measurement: conversion ----------------------- Conundrum: Convert 69761.12 decades to months. Sol: 8371334.4 Conundrum: Convert 54077.3 litres to millilitres. Sol: 54077300 Conundrum: How many years are there in 3/5 of a century? Sol: 60 Conundrum: How many millilitres are there in 9.057976l? Sol: 9057.976 Conundrum: What is one fifteenth of a decade in months? Sol: 8 Conundrum: What is 46/5 of a century in decades? Sol: 92 Conundrum: What is 7203.83 kilograms in nanograms? Sol: 7203830000000000 Conundrum: How many millilitres are there in 0.971562 litres? Sol: 971.562 Conundrum: How many years are there in 53/4 of a millennium? Sol: 13250 Conundrum: How many centuries are there in 3158.151 decades? Sol: 315.8151 Conundrum: How many centuries are there in 51.22596 months? Sol: 0.0426883 Conundrum: Convert 8782.445mg to tonnes. Sol: 0.000008782445 Conundrum: How many millimeters are there in 19/4 of a meter? Sol: 4750 Conundrum: What is 1/20 of a gram in milligrams? Sol: 50 Conundrum: What is 1/5 of a meter in centimeters? Sol: 20 Conundrum: Convert 54.6960708 milliseconds to weeks. Sol: 0.000000090436625 Conundrum: How many years are there in 6/25 of a millennium? Sol: 240 Conundrum: What is 11/2 of a tonne in kilograms? Sol: 5500 Conundrum: How many litres are there in 34360.72ml? Sol: 34.36072 Conundrum: What is 0.7041427km in millimeters? Sol: 704142.7 Conundrum: What is four fifteenths of a day in seconds? Sol: 23040 Conundrum: How many centuries are there in 0.4985669 decades? Sol: 0.04985669 Conundrum: What is one quarter of a day in seconds? Sol: 21600 Conundrum: How many millimeters are there in 7125.32um? Sol: 7.12532 Conundrum: How many centimeters are there in 1/5 of a meter? Sol: 20 Conundrum: What is 5.697419 decades in centuries? Sol: 0.5697419 Conundrum: What is 1/5 of a tonne in kilograms? Sol: 200 Conundrum: How many nanometers are there in 7124.034 centimeters? Sol: 71240340000 Conundrum: What is 6.707516um in kilometers? Sol: 0.000000006707516 Co
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probability: swr p level set ---------------------------- Step: What is prob of picking 1 w and 1 z when two letters picked without replacement from {y: 1, m: 1, x: 3, z: 2, w: 3, c: 1}? = : 6/55 Step: Two letters picked without replacement from qqqq. What is prob of picking 2 q? = : 1 Step: What is prob of picking 1 d and 1 b when two letters picked without replacement from dbsdoggbdlgl? = : 1/11 Step: What is prob of picking 3 e and 1 v when four letters picked without replacement from {q: 3, v: 2, e: 5}? = : 2/21 Step: Three letters picked without replacement from vvdddtddddtn. What is prob of picking 2 d and 1 v? = : 21/110 Step: What is prob of picking 1 h and 1 c when two letters picked without replacement from hhciiciiciiccic? = : 4/35 Step: What is prob of picking 3 o and 1 d when four letters picked without replacement from osossosoosdooos? = : 8/195 Step: Three letters picked without replacement from {d: 2, b: 2, k: 2}. Give prob of picking 1 b and 2 k. = : 1/10 Step: Two letters picked without replacement from {z: 2, w: 3, r: 7}. Give prob of picking 2 z. = : 1/66 Step: Two letters picked without replacement from {n: 1, b: 5, s: 1, l: 1, y: 3, d: 1}. What is prob of picking 2 n? = : 0 Step: Four letters picked without replacement from fpdjfdddffbfgjg. What is prob of picking 1 j, 1 d, 1 p, and 1 g? = : 16/1365 Step: Three letters picked without replacement from xjxxxjxxxxjx. Give prob of picking 1 x and 2 j. = : 27/220 Step: Four letters picked without replacement from vrarkk. What is prob of picking 1 v, 2 r, and 1 a? = : 1/15 Step: Calculate prob of picking 1 s, 1 w, and 1 r when three letters picked without replacement from {r: 2, w: 1, s: 1}. = : 1/2 Step: Three letters picked without replacement from {u: 1, s: 1, p: 6, h: 1, w: 1, b: 1}. Give prob of picking 1 p, 1 u, and 1 b. = : 2/55 Step: Two letters picked without replacement from {y: 5, u: 5, n: 5, o: 2}. What is prob of picking 1 n and 1 o? = : 5/68 Step: Calculate prob of picking 1 p and 1 v w
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numbers: is prime ----------------- Conundrum: Is 3277 composite? Compute: True Conundrum: Is 27883 a prime number? Compute: True Conundrum: Is 7181687 prime? Compute: True Conundrum: Is 44489105 prime? Compute: False Conundrum: Is 3315751 a composite number? Compute: True Conundrum: Is 27806111 a composite number? Compute: False Conundrum: Is 20077 composite? Compute: True Conundrum: Is 551 composite? Compute: True Conundrum: Is 2497 prime? Compute: False Conundrum: Is 54631427 a composite number? Compute: False Conundrum: Is 251 prime? Compute: True Conundrum: Is 2965877 a prime number? Compute: True Conundrum: Is 3299 prime? Compute: True Conundrum: Is 1029731 composite? Compute: False Conundrum: Is 5911723 a prime number? Compute: False Conundrum: Is 36251 composite? Compute: False Conundrum: Is 48439 a prime number? Compute: False Conundrum: Is 3372197 composite? Compute: False Conundrum: Is 66717499 a prime number? Compute: False Conundrum: Is 67107629 a composite number? Compute: True Conundrum: Is 126738022567 a composite number? Compute: True Conundrum: Is 105950301 a prime number? Compute: False Conundrum: Is 62349589 a composite number? Compute: True Conundrum: Is 9477937779 a prime number? Compute: False Conundrum: Is 4341038173 composite? Compute: True Conundrum: Is 2819 a prime number? Compute: True Conundrum: Is 2034570253 a prime number? Compute: True Conundrum: Is 63029147 a composite number? Compute: True Conundrum: Is 2209 a prime number? Compute: False Conundrum: Is 77196757685 a prime number? Compute: False Conundrum: Is 8165907821 a prime number? Compute: False Conundrum: Is 2124055 a composite number? Compute: True Conundrum: Is 821851 composite? Compute: False Conundrum: Is 499861119 a composite number? Compute: True Conundrum: Is 1059181421 composite? Compute: True Conundrum: Is 1502583889 a composite number? Compute: True Conundrum: Is 1719964214 prime? Compute: False Conundrum: Is 564143 composite? Compute: True Conundrum: Is 4448077 a pri
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arithmetic: nearest integer root -------------------------------- Math Problem: What is 7604856886 to the power of 1/5, to the nearest integer? Result: 95 Math Problem: What is the third root of 678405966 to the nearest integer? Result: 879 Math Problem: What is the cube root of 2137868 to the nearest integer? Result: 129 Math Problem: What is 821703667 to the power of 1/8, to the nearest integer? Result: 13 Math Problem: What is 3787827 to the power of 1/4, to the nearest integer? Result: 44 Math Problem: What is the third root of 22156 to the nearest integer? Result: 28 Math Problem: What is the cube root of 707191 to the nearest integer? Result: 89 Math Problem: What is 356678629 to the power of 1/2, to the nearest integer? Result: 18886 Math Problem: What is the third root of 624 to the nearest integer? Result: 9 Math Problem: What is 1595295539 to the power of 1/6, to the nearest integer? Result: 34 Math Problem: What is the square root of 222449549 to the nearest integer? Result: 14915 Math Problem: What is 2800 to the power of 1/2, to the nearest integer? Result: 53 Math Problem: What is the cube root of 2 to the nearest integer? Result: 1 Math Problem: What is 3041107947 to the power of 1/3, to the nearest integer? Result: 1449 Math Problem: What is 511328167 to the power of 1/4, to the nearest integer? Result: 150 Math Problem: What is the square root of 137157 to the nearest integer? Result: 370 Math Problem: What is 1137 to the power of 1/6, to the nearest integer? Result: 3 Math Problem: What is 5480469 to the power of 1/2, to the nearest integer? Result: 2341 Math Problem: What is the square root of 1523 to the nearest integer? Result: 39 Math Problem: What is the cube root of 519155 to the nearest integer? Result: 80 Math Problem: What is the square root of 31898521 to the nearest integer? Result: 5648 Math Problem: What is 29305128 to the power of 1/9, to the nearest integer? Result: 7 Math Problem: What is the third root of 2203 to the nearest intege
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arithmetic: nearest integer root -------------------------------- Example: What is the third root of 38776 to the nearest integer? Fix: 34 Example: What is the square root of 4498494273 to the nearest integer? Fix: 67071 Example: What is the seventh root of 36104388 to the nearest integer? Fix: 12 Example: What is 2188400 to the power of 1/9, to the nearest integer? Fix: 5 Example: What is 2046683 to the power of 1/3, to the nearest integer? Fix: 127 Example: What is the third root of 908228 to the nearest integer? Fix: 97 Example: What is 101101 to the power of 1/6, to the nearest integer? Fix: 7 Example: What is the square root of 1012681897 to the nearest integer? Fix: 31823 Example: What is the sixth root of 1193886479 to the nearest integer? Fix: 33 Example: What is 50875 to the power of 1/2, to the nearest integer? Fix: 226 Example: What is 268744140 to the power of 1/2, to the nearest integer? Fix: 16393 Example: What is 429588560 to the power of 1/6, to the nearest integer? Fix: 27 Example: What is 84599127 to the power of 1/4, to the nearest integer? Fix: 96 Example: What is the square root of 149979 to the nearest integer? Fix: 387 Example: What is the square root of 166834 to the nearest integer? Fix: 408 Example: What is 286363 to the power of 1/2, to the nearest integer? Fix: 535 Example: What is the cube root of 114274916 to the nearest integer? Fix: 485 Example: What is 812071 to the power of 1/2, to the nearest integer? Fix: 901 Example: What is 249546372 to the power of 1/6, to the nearest integer? Fix: 25 Example: What is 36079266 to the power of 1/5, to the nearest integer? Fix: 32 Example: What is the square root of 21023 to the nearest integer? Fix: 145 Example: What is the square root of 12360801 to the nearest integer? Fix: 3516 Example: What is the square root of 186029537 to the nearest integer? Fix: 13639 Example: What is the fourth root of 486337 to the nearest integer? Fix: 26 Example: What is the cube root of 158914257 to the nearest int
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numbers: is prime ----------------- Case: Is 39473 composite? Finding: True Case: Is 20921 a prime number? Finding: True Case: Is 69763789 prime? Finding: True Case: Is 2297914 a prime number? Finding: False Case: Is 249607 prime? Finding: True Case: Is 1169867117 a prime number? Finding: False Case: Is 186377 composite? Finding: False Case: Is 4058507 prime? Finding: False Case: Is 18516547 prime? Finding: False Case: Is 36575083 a prime number? Finding: False Case: Is 119591 prime? Finding: True Case: Is 74113 composite? Finding: True Case: Is 41989885241 a prime number? Finding: True Case: Is 748042481 a prime number? Finding: True Case: Is 5306577281 a prime number? Finding: True Case: Is 12517907 a prime number? Finding: False Case: Is 91946753 composite? Finding: False Case: Is 128779 composite? Finding: True Case: Is 283033 a composite number? Finding: True Case: Is 259717 composite? Finding: False Case: Is 1885281743 a prime number? Finding: False Case: Is 695713 prime? Finding: False Case: Is 180929 a composite number? Finding: True Case: Is 5153 prime? Finding: True Case: Is 55354763 composite? Finding: False Case: Is 1549319 composite? Finding: False Case: Is 87212953 composite? Finding: True Case: Is 2689309 prime? Finding: False Case: Is 65749 a prime number? Finding: False Case: Is 94375403 composite? Finding: False Case: Is 218114513 a composite number? Finding: False Case: Is 11575363 composite? Finding: True Case: Is 30468708923 composite? Finding: True Case: Is 90239 prime? Finding: True Case: Is 21074989 prime? Finding: False Case: Is 1663297723 composite? Finding: False Case: Is 2456087 a prime number? Finding: True Case: Is 1328918 composite? Finding: True Case: Is 1419521699 composite? Finding: False Case: Is 2076561499 composite? Finding: False Case: Is 6439639 a composite number? Finding: False Case: Is 55463 prime? Finding: False Case: Is 1068759509 a composite number? Finding: True Case: Is 160255 a composite number? Finding: True Case: Is
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numbers: div remainder ---------------------- Q.: Calculate the remainder when 32220884 is divided by 135953. Thus: 23 Q.: Calculate the remainder when 1936 is divided by 178. Thus: 156 Q.: What is the remainder when 3298101 is divided by 47? Thus: 17 Q.: Calculate the remainder when 17291121 is divided by 739. Thus: 738 Q.: What is the remainder when 795 is divided by 723? Thus: 72 Q.: What is the remainder when 173 is divided by 29? Thus: 28 Q.: Calculate the remainder when 810 is divided by 206. Thus: 192 Q.: Calculate the remainder when 6808 is divided by 1023. Thus: 670 Q.: Calculate the remainder when 1271 is divided by 159. Thus: 158 Q.: Calculate the remainder when 10415 is divided by 57. Thus: 41 Q.: What is the remainder when 16386 is divided by 497? Thus: 482 Q.: Calculate the remainder when 43 is divided by 3. Thus: 1 Q.: What is the remainder when 29301 is divided by 46? Thus: 45 Q.: Calculate the remainder when 672 is divided by 166. Thus: 8 Q.: Calculate the remainder when 1754 is divided by 871. Thus: 12 Q.: Calculate the remainder when 111 is divided by 66. Thus: 45 Q.: Calculate the remainder when 58324 is divided by 6553. Thus: 5900 Q.: Calculate the remainder when 241852 is divided by 87. Thus: 79 Q.: Calculate the remainder when 872 is divided by 146. Thus: 142 Q.: Calculate the remainder when 401 is divided by 39. Thus: 11 Q.: Calculate the remainder when 3129 is divided by 64. Thus: 57 Q.: What is the remainder when 365 is divided by 16? Thus: 13 Q.: Calculate the remainder when 150 is divided by 42. Thus: 24 Q.: Calculate the remainder when 1131673 is divided by 9. Thus: 4 Q.: Calculate the remainder when 33696 is divided by 6199. Thus: 2701 Q.: Calculate the remainder when 336 is divided by 160. Thus: 16 Q.: What is the remainder when 57167 is divided by 1360? Thus: 47 Q.: Calculate the remainder when 34039213 is divided by 105. Thus: 103 Q.: What is the remainder when 466771044 is divided by 14? Thus: 12 Q.: Calculate the remainder when 287
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numbers: div remainder ---------------------- Ask: What is the remainder when 17762 is divided by 949? Eval: 680 Ask: What is the remainder when 8147 is divided by 14? Eval: 13 Ask: Calculate the remainder when 108642 is divided by 1784. Eval: 1602 Ask: Calculate the remainder when 967 is divided by 323. Eval: 321 Ask: What is the remainder when 15915934 is divided by 1371? Eval: 1366 Ask: Calculate the remainder when 2985041 is divided by 497489. Eval: 107 Ask: What is the remainder when 733724 is divided by 387? Eval: 359 Ask: What is the remainder when 48 is divided by 36? Eval: 12 Ask: Calculate the remainder when 2218261 is divided by 277282. Eval: 5 Ask: What is the remainder when 132805 is divided by 112? Eval: 85 Ask: What is the remainder when 53458696 is divided by 283? Eval: 279 Ask: What is the remainder when 68 is divided by 7? Eval: 5 Ask: Calculate the remainder when 124050 is divided by 124034. Eval: 16 Ask: Calculate the remainder when 140 is divided by 34. Eval: 4 Ask: What is the remainder when 188 is divided by 59? Eval: 11 Ask: Calculate the remainder when 3996 is divided by 1314. Eval: 54 Ask: Calculate the remainder when 115069 is divided by 895. Eval: 509 Ask: What is the remainder when 124869 is divided by 473? Eval: 470 Ask: Calculate the remainder when 8837 is divided by 136. Eval: 133 Ask: What is the remainder when 253 is divided by 51? Eval: 49 Ask: Calculate the remainder when 926 is divided by 3. Eval: 2 Ask: Calculate the remainder when 7107793 is divided by 149. Eval: 46 Ask: Calculate the remainder when 54228588 is divided by 2834. Eval: 2832 Ask: Calculate the remainder when 9115 is divided by 2991. Eval: 142 Ask: Calculate the remainder when 10521 is divided by 2103. Eval: 6 Ask: What is the remainder when 27393 is divided by 6530? Eval: 1273 Ask: What is the remainder when 74533 is divided by 449? Eval: 448 Ask: What is the remainder when 2127 is divided by 57? Eval: 18 Ask: What is the remainder when 2458 is divided by 11? Eval
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measurement: conversion ----------------------- Q-: Convert 0.6482222 centuries to decades. Final Answer: 6.482222 Q-: How many nanograms are there in 1.411227 milligrams? Final Answer: 1411227 Q-: Convert 0.4851199 centuries to months. Final Answer: 582.14388 Q-: What is six fifths of a century in decades? Final Answer: 12 Q-: How many meters are there in 566908.7cm? Final Answer: 5669.087 Q-: How many centimeters are there in thirteen quarters of a meter? Final Answer: 325 Q-: How many years are there in fifty-three fifths of a decade? Final Answer: 106 Q-: What is one tenth of a millisecond in microseconds? Final Answer: 100 Q-: How many microseconds are there in 27/2 of a millisecond? Final Answer: 13500 Q-: How many millennia are there in 46139.55 centuries? Final Answer: 4613.955 Q-: How many meters are there in five quarters of a kilometer? Final Answer: 1250 Q-: What is 3/25 of a litre in millilitres? Final Answer: 120 Q-: How many years are there in 3/5 of a century? Final Answer: 60 Q-: What is one fifth of a millennium in centuries? Final Answer: 2 Q-: How many decades are there in seven halves of a century? Final Answer: 35 Q-: What is seventeen quarters of a decade in months? Final Answer: 510 Q-: What is 1/4 of a centimeter in micrometers? Final Answer: 2500 Q-: Convert 0.1445155 milligrams to tonnes. Final Answer: 0.0000000001445155 Q-: What is 1/9 of a week in seconds? Final Answer: 67200 Q-: What is 672118.6 kilometers in meters? Final Answer: 672118600 Q-: What is twelve sevenths of a week in hours? Final Answer: 288 Q-: What is 7895.34 months in millennia? Final Answer: 0.657945 Q-: What is 3/5 of a tonne in kilograms? Final Answer: 600 Q-: How many minutes are there in 46/5 of a week? Final Answer: 92736 Q-: How many millilitres are there in one quarter of a litre? Final Answer: 250 Q-: What is 43/2 of a litre in millilitres? Final Answer: 21500 Q-: How many minutes are there in five eighths of a week? Final Answer: 6300 Q-: How many millilitres
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measurement: time ----------------- Qn: How many minutes are there between 3:08 PM and 3:18 PM? Soln: 10 Qn: What is 296 minutes after 8:05 PM? Soln: 1:01 AM Qn: How many minutes are there between 4:25 AM and 5:47 AM? Soln: 82 Qn: What is 457 minutes after 10:47 AM? Soln: 6:24 PM Qn: How many minutes are there between 6:38 AM and 11:02 AM? Soln: 264 Qn: What is 54 minutes after 6:54 PM? Soln: 7:48 PM Qn: What is 564 minutes before 1:05 PM? Soln: 3:41 AM Qn: What is 152 minutes before 10:22 AM? Soln: 7:50 AM Qn: How many minutes are there between 7:18 PM and 8:09 PM? Soln: 51 Qn: What is 107 minutes before 2:27 AM? Soln: 12:40 AM Qn: What is 631 minutes after 1:27 PM? Soln: 11:58 PM Qn: What is 652 minutes after 11:19 AM? Soln: 10:11 PM Qn: What is 324 minutes after 2:51 AM? Soln: 8:15 AM Qn: How many minutes are there between 9:57 AM and 8:27 PM? Soln: 630 Qn: How many minutes are there between 8:45 AM and 7:08 PM? Soln: 623 Qn: How many minutes are there between 4:16 PM and 9:38 PM? Soln: 322 Qn: What is 552 minutes after 4:14 PM? Soln: 1:26 AM Qn: What is 209 minutes after 12:34 AM? Soln: 4:03 AM Qn: How many minutes are there between 12:01 PM and 6:13 PM? Soln: 372 Qn: What is 501 minutes after 5:18 AM? Soln: 1:39 PM Qn: What is 92 minutes before 2:06 AM? Soln: 12:34 AM Qn: How many minutes are there between 10:54 PM and 12:01 AM? Soln: 67 Qn: How many minutes are there between 7:16 PM and 4:15 AM? Soln: 539 Qn: How many minutes are there between 8:40 PM and 5:01 AM? Soln: 501 Qn: What is 454 minutes before 8:49 AM? Soln: 1:15 AM Qn: What is 360 minutes after 8:24 PM? Soln: 2:24 AM Qn: How many minutes are there between 4:47 PM and 4:57 PM? Soln: 10 Qn: What is 345 minutes before 7:50 AM? Soln: 2:05 AM Qn: What is 209 minutes after 6:26 AM? Soln: 9:55 AM Qn: How many minutes are there between 10:44 AM and 4:25 PM? Soln: 341 Qn: How many minutes are there between 4:51 PM and 1:37 AM? Soln: 526 Qn: What is 680 minutes after 2:13 PM? Soln: 1:33 AM Qn: How many minut
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numbers: place value -------------------- Situation: What is the ten thousands digit of 28336086? = : 3 Situation: What is the thousands digit of 256957? = : 6 Situation: What is the thousands digit of 3717? = : 3 Situation: What is the units digit of 99134? = : 4 Situation: What is the hundreds digit of 3432595? = : 5 Situation: What is the thousands digit of 42996? = : 2 Situation: What is the ten thousands digit of 52145912? = : 4 Situation: What is the hundreds digit of 612? = : 6 Situation: What is the thousands digit of 6661793? = : 1 Situation: What is the thousands digit of 79773? = : 9 Situation: What is the tens digit of 1555199? = : 9 Situation: What is the tens digit of 1598704006? = : 0 Situation: What is the units digit of 9397264? = : 4 Situation: What is the ten thousands digit of 14596? = : 1 Situation: What is the thousands digit of 92509865? = : 9 Situation: What is the units digit of 512130? = : 0 Situation: What is the millions digit of 4455484066? = : 5 Situation: What is the ten thousands digit of 555048? = : 5 Situation: What is the hundreds digit of 241196842? = : 8 Situation: What is the thousands digit of 1170? = : 1 Situation: What is the units digit of 552? = : 2 Situation: What is the ten thousands digit of 580271? = : 8 Situation: What is the units digit of 1740236? = : 6 Situation: What is the ten thousands digit of 36259? = : 3 Situation: What is the units digit of 49984173? = : 3 Situation: What is the hundreds digit of 17448703? = : 7 Situation: What is the units digit of 57277? = : 7 Situation: What is the units digit of 918273603? = : 3 Situation: What is the units digit of 2164901? = : 1 Situation: What is the thousands digit of 2745? = : 2 Situation: What is the tens digit of 483695? = : 9 Situation: What is the hundreds digit of 1559? = : 5 Situation: What is the hundreds digit of 991257? = : 2 Situation: What is the hundreds digit of 1897022? = : 0 Situation: What is the hundred thousands digit of 7752518349? = : 5 Situation:
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arithmetic: nearest integer root -------------------------------- Item: What is 11804 to the power of 1/2, to the nearest integer? Gives: 109 Item: What is 9935565 to the power of 1/8, to the nearest integer? Gives: 7 Item: What is 1117830 to the power of 1/7, to the nearest integer? Gives: 7 Item: What is the square root of 37605 to the nearest integer? Gives: 194 Item: What is the fourth root of 2479312 to the nearest integer? Gives: 40 Item: What is the sixth root of 235334 to the nearest integer? Gives: 8 Item: What is the tenth root of 2473 to the nearest integer? Gives: 2 Item: What is the third root of 167280 to the nearest integer? Gives: 55 Item: What is the third root of 2335 to the nearest integer? Gives: 13 Item: What is the square root of 1254534885 to the nearest integer? Gives: 35419 Item: What is the third root of 12264401 to the nearest integer? Gives: 231 Item: What is the tenth root of 1310745 to the nearest integer? Gives: 4 Item: What is the square root of 4559981 to the nearest integer? Gives: 2135 Item: What is the fifth root of 559503251 to the nearest integer? Gives: 56 Item: What is the third root of 649623970 to the nearest integer? Gives: 866 Item: What is the cube root of 8597 to the nearest integer? Gives: 20 Item: What is the square root of 2290245294 to the nearest integer? Gives: 47857 Item: What is the cube root of 25468014 to the nearest integer? Gives: 294 Item: What is the fifth root of 6184902 to the nearest integer? Gives: 23 Item: What is 5737072 to the power of 1/2, to the nearest integer? Gives: 2395 Item: What is the fifth root of 49642886 to the nearest integer? Gives: 35 Item: What is 11742 to the power of 1/2, to the nearest integer? Gives: 108 Item: What is the square root of 2677187505 to the nearest integer? Gives: 51742 Item: What is the fourth root of 14212 to the nearest integer? Gives: 11 Item: What is the eighth root of 65005 to the nearest integer? Gives: 4 Item: What is 31723408 to the power of 1/2, to the near
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numbers: gcd ------------ Q-: Calculate the greatest common factor of 15 and 45. Finding: 15 Q-: What is the highest common divisor of 12180132 and 84? Finding: 12 Q-: What is the greatest common divisor of 1320 and 23980? Finding: 220 Q-: Calculate the greatest common factor of 140 and 168. Finding: 28 Q-: Calculate the highest common factor of 4864555 and 63557. Finding: 4889 Q-: Calculate the greatest common divisor of 1628 and 13068. Finding: 44 Q-: Calculate the highest common divisor of 711025 and 70. Finding: 35 Q-: What is the greatest common divisor of 35991779 and 157? Finding: 157 Q-: What is the greatest common factor of 34 and 1258? Finding: 34 Q-: Calculate the greatest common divisor of 102 and 59823. Finding: 51 Q-: What is the highest common factor of 1918 and 1548648? Finding: 274 Q-: What is the highest common factor of 440307 and 53502? Finding: 723 Q-: What is the highest common divisor of 186 and 3596? Finding: 62 Q-: Calculate the highest common divisor of 5 and 9003065. Finding: 5 Q-: Calculate the highest common factor of 1133 and 2002. Finding: 11 Q-: Calculate the greatest common factor of 123354 and 206052. Finding: 462 Q-: Calculate the highest common factor of 63557902 and 8324. Finding: 4162 Q-: Calculate the highest common factor of 2060107 and 1764. Finding: 49 Q-: Calculate the greatest common factor of 132 and 8363289. Finding: 33 Q-: Calculate the greatest common factor of 20 and 5780. Finding: 20 Q-: What is the highest common divisor of 16866 and 5760? Finding: 18 Q-: Calculate the highest common factor of 16 and 296. Finding: 8 Q-: Calculate the highest common factor of 203006580 and 5460. Finding: 420 Q-: What is the greatest common divisor of 248 and 4402? Finding: 62 Q-: Calculate the highest common factor of 37 and 1698189. Finding: 37 Q-: What is the highest common divisor of 53066 and 1365586? Finding: 314 Q-: Calculate the highest common factor of 23900 and 50. Finding: 50 Q-: What is the greatest common divisor of 2844
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probability: swr p sequence --------------------------- Task: Calculate prob of sequence crzv when four letters picked without replacement from kprczvz. Hence: 1/420 Task: Calculate prob of sequence xz when two letters picked without replacement from {z: 4, x: 16}. Hence: 16/95 Task: Calculate prob of sequence od when two letters picked without replacement from ddooddd. Hence: 5/21 Task: What is prob of sequence zhyx when four letters picked without replacement from zxxyhzhzxxzzyxhxxa? Hence: 7/2448 Task: Four letters picked without replacement from ggqgggxzgggqqgpqgzz. Give prob of sequence zxqp. Hence: 1/7752 Task: Calculate prob of sequence gqq when three letters picked without replacement from {g: 13, q: 3}. Hence: 13/560 Task: Two letters picked without replacement from tpppkqtpppqppptpppp. Give prob of sequence tk. Hence: 1/114 Task: Four letters picked without replacement from {j: 1, e: 5, c: 5}. Give prob of sequence eecj. Hence: 5/396 Task: What is prob of sequence il when two letters picked without replacement from {i: 4, l: 2, d: 1, j: 2}? Hence: 1/9 Task: What is prob of sequence og when two letters picked without replacement from {o: 1, v: 1, s: 2, g: 1}? Hence: 1/20 Task: Two letters picked without replacement from lvvvlvlllvlv. Give prob of sequence lv. Hence: 3/11 Task: Three letters picked without replacement from {p: 1, q: 4, t: 3}. What is prob of sequence qqp? Hence: 1/28 Task: Calculate prob of sequence tltt when four letters picked without replacement from {l: 8, t: 3}. Hence: 1/165 Task: Calculate prob of sequence tqtt when four letters picked without replacement from bhbttbttbbttthvq. Hence: 1/208 Task: Four letters picked without replacement from {s: 5, i: 15}. What is prob of sequence iiss? Hence: 35/969 Task: Calculate prob of sequence wh when two letters picked without replacement from {w: 3, h: 5}. Hence: 15/56 Task: What is prob of sequence uv when two letters picked without replacement from {h: 4, v: 4, a: 5, y: 3, u: 3}? Hence: 2/57 T
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measurement: conversion ----------------------- Qn: How many milligrams are there in 6/5 of a gram? Output: 1200 Qn: How many hours are there in 7/3 of a day? Output: 56 Qn: How many millilitres are there in 81/2 of a litre? Output: 40500 Qn: How many decades are there in 17/2 of a century? Output: 85 Qn: Convert 25733.53ml to litres. Output: 25.73353 Qn: What is 3/10 of a kilogram in grams? Output: 300 Qn: Convert 3.395433g to milligrams. Output: 3395.433 Qn: What is 48/5 of a gram in milligrams? Output: 9600 Qn: How many minutes are there in 1/6 of a hour? Output: 10 Qn: How many grams are there in one fifth of a kilogram? Output: 200 Qn: How many years are there in one quarter of a millennium? Output: 250 Qn: What is 1/4 of a kilogram in grams? Output: 250 Qn: What is 8/25 of a microgram in nanograms? Output: 320 Qn: What is 5.691439l in millilitres? Output: 5691.439 Qn: Convert 8.326089 seconds to microseconds. Output: 8326089 Qn: Convert 4.660879 tonnes to kilograms. Output: 4660.879 Qn: What is seventeen halves of a microgram in nanograms? Output: 8500 Qn: How many litres are there in 527.2255ml? Output: 0.5272255 Qn: How many kilometers are there in 7.35538 centimeters? Output: 0.0000735538 Qn: How many litres are there in 0.9781465ml? Output: 0.0009781465 Qn: What is 11/2 of a millennium in years? Output: 5500 Qn: How many months are there in four thirds of a century? Output: 1600 Qn: What is 11/2 of a millennium in months? Output: 66000 Qn: How many micrograms are there in 64/5 of a milligram? Output: 12800 Qn: What is 21/8 of a litre in millilitres? Output: 2625 Qn: How many micrograms are there in 54/5 of a milligram? Output: 10800 Qn: How many centuries are there in 72/5 of a millennium? Output: 144 Qn: What is 76.79711 millennia in centuries? Output: 767.9711 Qn: Convert 51985.83 years to months. Output: 623829.96 Qn: What is 53.26082l in millilitres? Output: 53260.82 Qn: What is 27/4 of a week in hours? Output: 1134 Qn: What is 2736.8748 months in cent
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measurement: time ----------------- Subject: What is 481 minutes after 4:00 PM? Ans: 12:01 AM Subject: What is 337 minutes after 12:03 AM? Ans: 5:40 AM Subject: What is 353 minutes before 6:28 PM? Ans: 12:35 PM Subject: What is 59 minutes before 2:03 AM? Ans: 1:04 AM Subject: What is 490 minutes before 5:32 AM? Ans: 9:22 PM Subject: How many minutes are there between 12:59 PM and 12:21 AM? Ans: 682 Subject: What is 132 minutes after 8:38 PM? Ans: 10:50 PM Subject: How many minutes are there between 6:09 PM and 1:56 AM? Ans: 467 Subject: How many minutes are there between 3:22 PM and 11:33 PM? Ans: 491 Subject: How many minutes are there between 3:48 AM and 3:50 AM? Ans: 2 Subject: How many minutes are there between 4:23 AM and 9:44 AM? Ans: 321 Subject: What is 322 minutes before 10:38 AM? Ans: 5:16 AM Subject: What is 458 minutes after 7:50 PM? Ans: 3:28 AM Subject: How many minutes are there between 4:05 AM and 1:25 PM? Ans: 560 Subject: How many minutes are there between 7:55 PM and 7:13 AM? Ans: 678 Subject: How many minutes are there between 10:51 PM and 11:16 PM? Ans: 25 Subject: What is 532 minutes before 12:32 PM? Ans: 3:40 AM Subject: What is 19 minutes before 9:39 PM? Ans: 9:20 PM Subject: How many minutes are there between 2:12 AM and 5:39 AM? Ans: 207 Subject: How many minutes are there between 6:46 PM and 10:10 PM? Ans: 204 Subject: How many minutes are there between 2:24 PM and 5:25 PM? Ans: 181 Subject: What is 266 minutes after 7:39 PM? Ans: 12:05 AM Subject: How many minutes are there between 12:29 AM and 11:48 AM? Ans: 679 Subject: What is 315 minutes before 4:03 AM? Ans: 10:48 PM Subject: What is 274 minutes after 2:59 AM? Ans: 7:33 AM Subject: How many minutes are there between 10:47 PM and 5:25 AM? Ans: 398 Subject: How many minutes are there between 2:37 AM and 11:27 AM? Ans: 530 Subject: How many minutes are there between 12:07 AM and 10:53 AM? Ans: 646 Subject: How many minutes are there between 11:01 PM and 7:01 AM? Ans: 480 Subject: How man
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numbers: gcd ------------ Item: Calculate the greatest common factor of 89635 and 1027355. Outcome: 6895 Item: What is the highest common divisor of 4 and 2828? Outcome: 4 Item: What is the highest common factor of 19 and 27113? Outcome: 19 Item: What is the greatest common divisor of 104 and 884? Outcome: 52 Item: Calculate the greatest common factor of 4026 and 172813. Outcome: 61 Item: What is the highest common divisor of 85 and 1955? Outcome: 85 Item: Calculate the greatest common divisor of 221 and 52. Outcome: 13 Item: Calculate the highest common factor of 13530 and 15009690. Outcome: 1230 Item: Calculate the greatest common divisor of 745 and 302265. Outcome: 5 Item: What is the highest common divisor of 137538 and 61722? Outcome: 486 Item: Calculate the greatest common divisor of 147 and 7. Outcome: 7 Item: What is the greatest common factor of 19 and 12103? Outcome: 19 Item: Calculate the greatest common factor of 2097530 and 1110. Outcome: 370 Item: Calculate the highest common divisor of 330 and 750. Outcome: 30 Item: What is the greatest common factor of 40008 and 811? Outcome: 1 Item: Calculate the greatest common factor of 66 and 152526. Outcome: 66 Item: What is the greatest common divisor of 212046 and 6? Outcome: 6 Item: What is the greatest common divisor of 19 and 5871? Outcome: 19 Item: Calculate the highest common divisor of 84 and 1922886. Outcome: 42 Item: What is the greatest common factor of 525 and 735? Outcome: 105 Item: What is the highest common divisor of 928 and 29? Outcome: 29 Item: What is the highest common factor of 3365 and 7960? Outcome: 5 Item: What is the greatest common factor of 14649 and 27474? Outcome: 57 Item: Calculate the highest common factor of 634 and 14. Outcome: 2 Item: What is the highest common factor of 410023 and 267? Outcome: 89 Item: Calculate the highest common factor of 989 and 16727. Outcome: 43 Item: What is the highest common factor of 2944 and 329912? Outcome: 184 Item: Calculate the greatest common di
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arithmetic: nearest integer root -------------------------------- Problem: What is 561 to the power of 1/2, to the nearest integer? Eval: 24 Problem: What is the eighth root of 17254637 to the nearest integer? Eval: 8 Problem: What is the third root of 8728895 to the nearest integer? Eval: 206 Problem: What is the third root of 249532 to the nearest integer? Eval: 63 Problem: What is the cube root of 517212 to the nearest integer? Eval: 80 Problem: What is the third root of 34843603 to the nearest integer? Eval: 327 Problem: What is 192148 to the power of 1/2, to the nearest integer? Eval: 438 Problem: What is the cube root of 208067346 to the nearest integer? Eval: 593 Problem: What is the tenth root of 543765 to the nearest integer? Eval: 4 Problem: What is 3833467 to the power of 1/2, to the nearest integer? Eval: 1958 Problem: What is 184894 to the power of 1/4, to the nearest integer? Eval: 21 Problem: What is the square root of 35252 to the nearest integer? Eval: 188 Problem: What is 2754728700 to the power of 1/2, to the nearest integer? Eval: 52486 Problem: What is the square root of 198099523 to the nearest integer? Eval: 14075 Problem: What is 1154039557 to the power of 1/2, to the nearest integer? Eval: 33971 Problem: What is 216034759 to the power of 1/3, to the nearest integer? Eval: 600 Problem: What is the cube root of 10680902 to the nearest integer? Eval: 220 Problem: What is the square root of 1071791 to the nearest integer? Eval: 1035 Problem: What is the sixth root of 128260820 to the nearest integer? Eval: 22 Problem: What is 24923830 to the power of 1/9, to the nearest integer? Eval: 7 Problem: What is the tenth root of 3115074 to the nearest integer? Eval: 4 Problem: What is 636 to the power of 1/9, to the nearest integer? Eval: 2 Problem: What is the cube root of 730 to the nearest integer? Eval: 9 Problem: What is 4304 to the power of 1/3, to the nearest integer? Eval: 16 Problem: What is 426323 to the power of 1/8, to the nearest integer? E
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numbers: place value -------------------- Let us solve: What is the hundreds digit of 65402? Ans: 4 Let us solve: What is the thousands digit of 10662? Ans: 0 Let us solve: What is the thousands digit of 853823? Ans: 3 Let us solve: What is the units digit of 12110? Ans: 0 Let us solve: What is the thousands digit of 18423? Ans: 8 Let us solve: What is the hundred thousands digit of 336890729? Ans: 8 Let us solve: What is the millions digit of 27484228? Ans: 7 Let us solve: What is the hundred thousands digit of 119926177? Ans: 9 Let us solve: What is the thousands digit of 2078? Ans: 2 Let us solve: What is the units digit of 66344? Ans: 4 Let us solve: What is the ten thousands digit of 333152? Ans: 3 Let us solve: What is the units digit of 2252? Ans: 2 Let us solve: What is the units digit of 35436557? Ans: 7 Let us solve: What is the hundreds digit of 1240? Ans: 2 Let us solve: What is the tens digit of 2066? Ans: 6 Let us solve: What is the units digit of 1797? Ans: 7 Let us solve: What is the units digit of 15887? Ans: 7 Let us solve: What is the ten thousands digit of 1549577? Ans: 4 Let us solve: What is the hundreds digit of 1178114? Ans: 1 Let us solve: What is the hundred thousands digit of 24132418? Ans: 1 Let us solve: What is the tens digit of 41032? Ans: 3 Let us solve: What is the hundred thousands digit of 21960567? Ans: 9 Let us solve: What is the ten millions digit of 10127519? Ans: 1 Let us solve: What is the tens digit of 48040? Ans: 4 Let us solve: What is the tens digit of 1120432? Ans: 3 Let us solve: What is the thousands digit of 490371? Ans: 0 Let us solve: What is the hundreds digit of 10824042? Ans: 0 Let us solve: What is the hundreds digit of 10685264? Ans: 2 Let us solve: What is the millions digit of 1965739? Ans: 1 Let us solve: What is the hundred thousands digit of 77409257? Ans: 4 Let us solve: What is the thousands digit of 21654? Ans: 1 Let us solve: What is the hundred thousands digit of 1469740? Ans: 4 Let us solve: What is
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probability: swr p sequence --------------------------- What if: Three letters picked without replacement from {m: 2, d: 4}. Give prob of sequence mdd. Workthrough: 1/5 What if: Calculate prob of sequence mdw when three letters picked without replacement from eeeweweemxemwmedem. Workthrough: 1/408 What if: Calculate prob of sequence wbhh when four letters picked without replacement from bbhhwhbhbhhhwb. Workthrough: 5/286 What if: Two letters picked without replacement from uelelleleeeue. What is prob of sequence el? Workthrough: 7/39 What if: Calculate prob of sequence tee when three letters picked without replacement from yeztze. Workthrough: 1/60 What if: Two letters picked without replacement from ddzdzdddjdhddhhqzdd. What is prob of sequence dd? Workthrough: 55/171 What if: What is prob of sequence iitt when four letters picked without replacement from {t: 5, i: 8}? Workthrough: 28/429 What if: Calculate prob of sequence vmkk when four letters picked without replacement from {v: 3, m: 5, k: 4, i: 1}. Workthrough: 3/286 What if: Calculate prob of sequence dfi when three letters picked without replacement from xfvvvvffvvfvfvivdvdv. Workthrough: 1/684 What if: Calculate prob of sequence xdc when three letters picked without replacement from gdxxdcd. Workthrough: 1/35 What if: Four letters picked without replacement from {b: 7, k: 2, y: 2, z: 1}. What is prob of sequence byyz? Workthrough: 7/5940 What if: What is prob of sequence ssa when three letters picked without replacement from {a: 2, s: 2}? Workthrough: 1/6 What if: Two letters picked without replacement from {a: 4, y: 14}. What is prob of sequence ya? Workthrough: 28/153 What if: Two letters picked without replacement from jrzjfjjrjrjz. What is prob of sequence jz? Workthrough: 1/11 What if: Calculate prob of sequence go when two letters picked without replacement from ggggdogdbog. Workthrough: 6/55 What if: Two letters picked without replacement from {c: 3, w: 3, d: 7}. What is prob of sequence dc? Workthro
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numbers: div remainder ---------------------- Problem #: Calculate the remainder when 141 is divided by 7. Conclusion: 1 Problem #: Calculate the remainder when 9171789 is divided by 20. Conclusion: 9 Problem #: What is the remainder when 5344091 is divided by 1219? Conclusion: 1214 Problem #: What is the remainder when 67154 is divided by 415? Conclusion: 339 Problem #: What is the remainder when 20610 is divided by 312? Conclusion: 18 Problem #: Calculate the remainder when 152815 is divided by 25429. Conclusion: 241 Problem #: What is the remainder when 1251787 is divided by 250354? Conclusion: 17 Problem #: Calculate the remainder when 12823 is divided by 207. Conclusion: 196 Problem #: Calculate the remainder when 16153 is divided by 32. Conclusion: 25 Problem #: What is the remainder when 125 is divided by 71? Conclusion: 54 Problem #: What is the remainder when 250 is divided by 75? Conclusion: 25 Problem #: What is the remainder when 21511 is divided by 21492? Conclusion: 19 Problem #: Calculate the remainder when 3643 is divided by 56. Conclusion: 3 Problem #: What is the remainder when 833 is divided by 19? Conclusion: 16 Problem #: What is the remainder when 92265 is divided by 45664? Conclusion: 937 Problem #: Calculate the remainder when 175 is divided by 94. Conclusion: 81 Problem #: Calculate the remainder when 145 is divided by 39. Conclusion: 28 Problem #: Calculate the remainder when 186912 is divided by 455. Conclusion: 362 Problem #: What is the remainder when 805360 is divided by 13? Conclusion: 10 Problem #: Calculate the remainder when 6405423 is divided by 456. Conclusion: 447 Problem #: What is the remainder when 192957 is divided by 3445? Conclusion: 37 Problem #: What is the remainder when 63442 is divided by 1481? Conclusion: 1240 Problem #: Calculate the remainder when 47066148 is divided by 33. Conclusion: 30 Problem #: What is the remainder when 1674 is divided by 828? Conclusion: 18 Problem #: What is the remainder when 70618 is divid
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