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measurement: conversion ----------------------- Task: How many millilitres are there in seventeen quarters of a litre? Sol: 4250 Task: How many weeks are there in 166.89638 days? Sol: 23.84234 Task: What is five eighths of a millennium in months? Sol: 7500 Task: How many millilitres are there in 509761.7 litres? Sol: 509761700 Task: Convert 3.225056 centimeters to kilometers. Sol: 0.00003225056 Task: What is fifty-seven halves of a decade in months? Sol: 3420 Task: What is 5/4 of a milligram in micrograms? Sol: 1250 Task: How many months are there in five quarters of a century? Sol: 1500 Task: What is 27/5 of a century in decades? Sol: 54 Task: How many nanoseconds are there in 31/5 of a microsecond? Sol: 6200 Task: What is 46/5 of a millennium in decades? Sol: 920 Task: What is 2/125 of a meter in micrometers? Sol: 16000 Task: Convert 710.3408 millennia to centuries. Sol: 7103.408 Task: Convert 3.394233ug to tonnes. Sol: 0.000000000003394233 Task: How many micrograms are there in twenty-six fifths of a milligram? Sol: 5200 Task: What is 6/25 of a litre in millilitres? Sol: 240 Task: How many months are there in eleven halves of a century? Sol: 6600 Task: What is 13/4 of a millennium in decades? Sol: 325 Task: Convert 75924.58 decades to millennia. Sol: 759.2458 Task: What is 7/8 of a meter in millimeters? Sol: 875 Task: Convert 75930.93 seconds to minutes. Sol: 1265.5155 Task: How many kilometers are there in 9.896359nm? Sol: 0.000000000009896359 Task: What is 5.42954 days in milliseconds? Sol: 469112256 Task: What is 11/4 of a micrometer in nanometers? Sol: 2750 Task: What is 27/4 of a litre in millilitres? Sol: 6750 Task: How many nanograms are there in 477.0794g? Sol: 477079400000 Task: How many millilitres are there in one tenth of a litre? Sol: 100 Task: What is 0.9334507mm in micrometers? Sol: 933.4507 Task: How many litres are there in 912.7009ml? Sol: 0.9127009 Task: How many years are there in twenty-seven halves of a decade? Sol: 135 Task: What is fifteen
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measurement: conversion ----------------------- Task: What is five eighths of a millimeter in micrometers? Answer: 625 Task: What is 6/5 of a kilogram in grams? Answer: 1200 Task: Convert 2121.628 weeks to seconds. Answer: 1283160614.4 Task: What is 60902.99 decades in years? Answer: 609029.9 Task: How many months are there in 1/4 of a millennium? Answer: 3000 Task: How many millilitres are there in 12/25 of a litre? Answer: 480 Task: Convert 81068.97nm to meters. Answer: 0.00008106897 Task: Convert 977.4921 months to millennia. Answer: 0.081457675 Task: How many seconds are there in 77387.6 weeks? Answer: 46804020480 Task: What is 8/25 of a litre in millilitres? Answer: 320 Task: How many millilitres are there in 13/5 of a litre? Answer: 2600 Task: How many micrograms are there in 52490.03 milligrams? Answer: 52490030 Task: How many micrograms are there in one tenth of a gram? Answer: 100000 Task: What is twenty-one fifths of a microgram in nanograms? Answer: 4200 Task: What is 44/5 of a kilometer in meters? Answer: 8800 Task: How many milliseconds are there in 16/15 of a minute? Answer: 64000 Task: How many nanograms are there in three tenths of a microgram? Answer: 300 Task: What is 1697997.9 months in millennia? Answer: 141.499825 Task: What is 3/10 of a second in milliseconds? Answer: 300 Task: Convert 1.01848mg to kilograms. Answer: 0.00000101848 Task: What is 3/10 of a litre in millilitres? Answer: 300 Task: What is 19/4 of a hour in minutes? Answer: 285 Task: How many centimeters are there in seven eighths of a kilometer? Answer: 87500 Task: How many litres are there in 81119.1 millilitres? Answer: 81.1191 Task: What is eleven tenths of a meter in millimeters? Answer: 1100 Task: What is 7.23996 litres in millilitres? Answer: 7239.96 Task: How many seconds are there in 15/4 of a hour? Answer: 13500 Task: Convert 79999.34l to millilitres. Answer: 79999340 Task: How many millimeters are there in 1088.33 centimeters? Answer: 10883.3 Task: What is 6289.301 microm
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measurement: time ----------------- Q): How many minutes are there between 1:19 PM and 10:28 PM? Explanation: 549 Q): What is 556 minutes after 2:08 AM? Explanation: 11:24 AM Q): How many minutes are there between 12:40 AM and 10:35 AM? Explanation: 595 Q): How many minutes are there between 5:42 AM and 12:42 PM? Explanation: 420 Q): How many minutes are there between 6:30 PM and 10:01 PM? Explanation: 211 Q): What is 120 minutes after 5:56 AM? Explanation: 7:56 AM Q): What is 408 minutes after 2:55 PM? Explanation: 9:43 PM Q): How many minutes are there between 10:30 PM and 3:52 AM? Explanation: 322 Q): How many minutes are there between 10:12 PM and 10:51 PM? Explanation: 39 Q): What is 251 minutes before 9:25 PM? Explanation: 5:14 PM Q): How many minutes are there between 11:29 PM and 11:16 AM? Explanation: 707 Q): What is 115 minutes before 7:02 PM? Explanation: 5:07 PM Q): What is 12 minutes before 1:03 AM? Explanation: 12:51 AM Q): How many minutes are there between 9:20 AM and 11:28 AM? Explanation: 128 Q): What is 605 minutes before 8:30 PM? Explanation: 10:25 AM Q): How many minutes are there between 6:10 AM and 12:54 PM? Explanation: 404 Q): What is 158 minutes after 3:45 AM? Explanation: 6:23 AM Q): What is 38 minutes before 5:08 AM? Explanation: 4:30 AM Q): How many minutes are there between 4:13 PM and 2:24 AM? Explanation: 611 Q): How many minutes are there between 7:44 PM and 12:36 AM? Explanation: 292 Q): How many minutes are there between 2:31 AM and 9:11 AM? Explanation: 400 Q): How many minutes are there between 9:39 AM and 7:55 PM? Explanation: 616 Q): What is 583 minutes after 2:56 PM? Explanation: 12:39 AM Q): What is 345 minutes after 6:53 AM? Explanation: 12:38 PM Q): What is 132 minutes after 2:21 AM? Explanation: 4:33 AM Q): How many minutes are there between 7:33 AM and 8:42 AM? Explanation: 69 Q): What is 618 minutes after 5:33 PM? Explanation: 3:51 AM Q): What is 710 minutes after 9:32 AM? Explanation: 9:22 PM Q): How many minutes are th
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arithmetic: nearest integer root -------------------------------- Request: What is the cube root of 2492609383 to the nearest integer? Answer: 1356 Request: What is the cube root of 1839420 to the nearest integer? Answer: 123 Request: What is the cube root of 5727 to the nearest integer? Answer: 18 Request: What is 1988 to the power of 1/6, to the nearest integer? Answer: 4 Request: What is 1264353965 to the power of 1/10, to the nearest integer? Answer: 8 Request: What is the square root of 3281227234 to the nearest integer? Answer: 57282 Request: What is the square root of 1336 to the nearest integer? Answer: 37 Request: What is the square root of 113641690 to the nearest integer? Answer: 10660 Request: What is 163 to the power of 1/2, to the nearest integer? Answer: 13 Request: What is 56316 to the power of 1/5, to the nearest integer? Answer: 9 Request: What is the cube root of 639321816 to the nearest integer? Answer: 861 Request: What is the fourth root of 4249846 to the nearest integer? Answer: 45 Request: What is the cube root of 39575214 to the nearest integer? Answer: 341 Request: What is the fifth root of 106154 to the nearest integer? Answer: 10 Request: What is the square root of 43191368 to the nearest integer? Answer: 6572 Request: What is the third root of 29622387 to the nearest integer? Answer: 309 Request: What is 182 to the power of 1/4, to the nearest integer? Answer: 4 Request: What is 1204786265 to the power of 1/7, to the nearest integer? Answer: 20 Request: What is 56932 to the power of 1/7, to the nearest integer? Answer: 5 Request: What is 119570 to the power of 1/4, to the nearest integer? Answer: 19 Request: What is 311550 to the power of 1/5, to the nearest integer? Answer: 13 Request: What is 22355 to the power of 1/3, to the nearest integer? Answer: 28 Request: What is the third root of 57700 to the nearest integer? Answer: 39 Request: What is 36860 to the power of 1/4, to the nearest integer? Answer: 14 Request: What is the fourth ro
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arithmetic: nearest integer root -------------------------------- Inquiry: What is the third root of 2117862 to the nearest integer? Compute: 128 Inquiry: What is the cube root of 98127 to the nearest integer? Compute: 46 Inquiry: What is 3550024 to the power of 1/3, to the nearest integer? Compute: 153 Inquiry: What is 82270847 to the power of 1/8, to the nearest integer? Compute: 10 Inquiry: What is the tenth root of 629846 to the nearest integer? Compute: 4 Inquiry: What is the third root of 17012 to the nearest integer? Compute: 26 Inquiry: What is the square root of 8335831923 to the nearest integer? Compute: 91301 Inquiry: What is the square root of 70152 to the nearest integer? Compute: 265 Inquiry: What is 6207 to the power of 1/4, to the nearest integer? Compute: 9 Inquiry: What is the ninth root of 41135 to the nearest integer? Compute: 3 Inquiry: What is 215578725 to the power of 1/2, to the nearest integer? Compute: 14683 Inquiry: What is 3801678644 to the power of 1/4, to the nearest integer? Compute: 248 Inquiry: What is the square root of 174419 to the nearest integer? Compute: 418 Inquiry: What is the fifth root of 107626098 to the nearest integer? Compute: 40 Inquiry: What is 239411 to the power of 1/3, to the nearest integer? Compute: 62 Inquiry: What is 93916 to the power of 1/10, to the nearest integer? Compute: 3 Inquiry: What is the fifth root of 2822151175 to the nearest integer? Compute: 78 Inquiry: What is the tenth root of 161749 to the nearest integer? Compute: 3 Inquiry: What is the third root of 13352864 to the nearest integer? Compute: 237 Inquiry: What is 415598784 to the power of 1/2, to the nearest integer? Compute: 20386 Inquiry: What is the fourth root of 25792 to the nearest integer? Compute: 13 Inquiry: What is 491967127 to the power of 1/5, to the nearest integer? Compute: 55 Inquiry: What is 2717 to the power of 1/3, to the nearest integer? Compute: 14 Inquiry: What is 72460800 to the power of 1/3, to the nearest integer? Compu
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numbers: div remainder ---------------------- Case: Calculate the remainder when 224 is divided by 19. Response: 15 Case: Calculate the remainder when 881016 is divided by 2270. Response: 256 Case: Calculate the remainder when 842881 is divided by 63. Response: 4 Case: What is the remainder when 1032186 is divided by 6? Response: 0 Case: Calculate the remainder when 126 is divided by 5. Response: 1 Case: Calculate the remainder when 6026 is divided by 5308. Response: 718 Case: Calculate the remainder when 514464 is divided by 9575. Response: 6989 Case: What is the remainder when 292 is divided by 128? Response: 36 Case: What is the remainder when 74778 is divided by 36624? Response: 1530 Case: Calculate the remainder when 20906909 is divided by 135. Response: 134 Case: What is the remainder when 10972 is divided by 99? Response: 82 Case: What is the remainder when 524 is divided by 106? Response: 100 Case: Calculate the remainder when 957 is divided by 192. Response: 189 Case: What is the remainder when 356121467 is divided by 36? Response: 35 Case: What is the remainder when 693913 is divided by 231290? Response: 43 Case: What is the remainder when 91161 is divided by 5? Response: 1 Case: Calculate the remainder when 299 is divided by 97. Response: 8 Case: Calculate the remainder when 204 is divided by 26. Response: 22 Case: Calculate the remainder when 39 is divided by 28. Response: 11 Case: Calculate the remainder when 1706 is divided by 10. Response: 6 Case: Calculate the remainder when 3660225 is divided by 7. Response: 2 Case: What is the remainder when 4018807 is divided by 31? Response: 29 Case: Calculate the remainder when 1939 is divided by 123. Response: 94 Case: Calculate the remainder when 46878 is divided by 160. Response: 158 Case: Calculate the remainder when 1910 is divided by 71. Response: 64 Case: Calculate the remainder when 74329 is divided by 6757. Response: 2 Case: What is the remainder when 55193 is divided by 211? Response: 122 Case: What is
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probability: swr p sequence --------------------------- Let: Calculate prob of sequence kk when two letters picked without replacement from ggkggkggggg. Eval: 1/55 Let: What is prob of sequence xxox when four letters picked without replacement from xxxxooxoxoxoxoxxooo? Eval: 45/646 Let: Two letters picked without replacement from kpppppbpkppkvvbpvp. Give prob of sequence kp. Eval: 5/51 Let: Three letters picked without replacement from {r: 5, x: 3}. Give prob of sequence rrx. Eval: 5/28 Let: Three letters picked without replacement from eeaayypuaae. What is prob of sequence yey? Eval: 1/165 Let: Four letters picked without replacement from rlrrrlrlrrrrrrr. Give prob of sequence llrl. Eval: 1/455 Let: What is prob of sequence ywys when four letters picked without replacement from sdydsysysssbwsbbbsy? Eval: 1/969 Let: Two letters picked without replacement from {x: 2, v: 2, b: 2, k: 4, y: 3}. Give prob of sequence xb. Eval: 1/39 Let: Three letters picked without replacement from {z: 9, e: 4, a: 4}. What is prob of sequence eze? Eval: 9/340 Let: Four letters picked without replacement from {y: 1, j: 2, v: 4, m: 1}. Give prob of sequence vmyv. Eval: 1/140 Let: Calculate prob of sequence jli when three letters picked without replacement from flfij. Eval: 1/60 Let: Four letters picked without replacement from nrgkksyrykyryyyys. Give prob of sequence rkss. Eval: 3/9520 Let: What is prob of sequence wm when two letters picked without replacement from immmiiximiwmii? Eval: 5/182 Let: Three letters picked without replacement from {j: 2, p: 4, e: 4, t: 2, y: 2}. What is prob of sequence tje? Eval: 2/273 Let: Two letters picked without replacement from bofbf. Give prob of sequence ob. Eval: 1/10 Let: Four letters picked without replacement from jjjkltfvfljjjkj. What is prob of sequence fjkk? Eval: 1/1170 Let: Calculate prob of sequence gbxw when four letters picked without replacement from bwxggbxbxgxbggww. Eval: 1/182 Let: Four letters picked without replacement from bdnnndbcb
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numbers: place value -------------------- Qn: What is the tens digit of 73606529? Fix: 2 Qn: What is the hundred thousands digit of 238075? Fix: 2 Qn: What is the hundreds digit of 392193652? Fix: 6 Qn: What is the ten thousands digit of 73396? Fix: 7 Qn: What is the ten thousands digit of 180452? Fix: 8 Qn: What is the hundreds digit of 1095? Fix: 0 Qn: What is the millions digit of 348014159? Fix: 8 Qn: What is the hundreds digit of 521? Fix: 5 Qn: What is the hundreds digit of 25069863? Fix: 8 Qn: What is the ten thousands digit of 41903? Fix: 4 Qn: What is the ten millions digit of 123560298? Fix: 2 Qn: What is the thousands digit of 14258484? Fix: 8 Qn: What is the ten thousands digit of 148511318? Fix: 1 Qn: What is the hundreds digit of 400421? Fix: 4 Qn: What is the thousands digit of 8235565? Fix: 5 Qn: What is the hundreds digit of 956216208? Fix: 2 Qn: What is the units digit of 45966? Fix: 6 Qn: What is the hundreds digit of 1277? Fix: 2 Qn: What is the tens digit of 752307079? Fix: 7 Qn: What is the hundred thousands digit of 7378820? Fix: 3 Qn: What is the units digit of 208219? Fix: 9 Qn: What is the hundred thousands digit of 1280788450? Fix: 7 Qn: What is the units digit of 53719514? Fix: 4 Qn: What is the thousands digit of 5363259? Fix: 3 Qn: What is the millions digit of 8666099? Fix: 8 Qn: What is the hundreds digit of 756? Fix: 7 Qn: What is the units digit of 54894? Fix: 4 Qn: What is the units digit of 31673? Fix: 3 Qn: What is the thousands digit of 7019? Fix: 7 Qn: What is the tens digit of 10565158? Fix: 5 Qn: What is the hundreds digit of 876749? Fix: 7 Qn: What is the ten thousands digit of 464216? Fix: 6 Qn: What is the units digit of 133646845? Fix: 5 Qn: What is the tens digit of 3850? Fix: 5 Qn: What is the tens digit of 1065? Fix: 6 Qn: What is the units digit of 465? Fix: 5 Qn: What is the units digit of 336795254? Fix: 4 Qn: What is the hundreds digit of 7514194? Fix: 1 Qn: What is the units digit of 31981450? Fix: 0 Qn: What is t
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arithmetic: nearest integer root -------------------------------- Situation: What is 46615173 to the power of 1/4, to the nearest integer? Solution: 83 Situation: What is the eighth root of 29120223 to the nearest integer? Solution: 9 Situation: What is 29634780 to the power of 1/3, to the nearest integer? Solution: 309 Situation: What is the tenth root of 22288638 to the nearest integer? Solution: 5 Situation: What is the eighth root of 255 to the nearest integer? Solution: 2 Situation: What is the cube root of 1740 to the nearest integer? Solution: 12 Situation: What is the third root of 1668 to the nearest integer? Solution: 12 Situation: What is 1085696 to the power of 1/2, to the nearest integer? Solution: 1042 Situation: What is 2662987477 to the power of 1/2, to the nearest integer? Solution: 51604 Situation: What is the third root of 37370 to the nearest integer? Solution: 33 Situation: What is the third root of 170115 to the nearest integer? Solution: 55 Situation: What is 184178 to the power of 1/2, to the nearest integer? Solution: 429 Situation: What is the fifth root of 11532 to the nearest integer? Solution: 6 Situation: What is the seventh root of 53969113 to the nearest integer? Solution: 13 Situation: What is 39345 to the power of 1/10, to the nearest integer? Solution: 3 Situation: What is the third root of 759973654 to the nearest integer? Solution: 913 Situation: What is the tenth root of 287810 to the nearest integer? Solution: 4 Situation: What is 1607 to the power of 1/4, to the nearest integer? Solution: 6 Situation: What is the square root of 111339 to the nearest integer? Solution: 334 Situation: What is the square root of 3029289 to the nearest integer? Solution: 1740 Situation: What is 1191947703 to the power of 1/2, to the nearest integer? Solution: 34525 Situation: What is 1118918 to the power of 1/2, to the nearest integer? Solution: 1058 Situation: What is the third root of 1659 to the nearest integer? Solution: 12 Situation: What is
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probability: swr p level set ---------------------------- Situation: Two letters picked without replacement from {b: 14, p: 5}. Give prob of picking 1 p and 1 b. Soln: 70/171 Situation: Four letters picked without replacement from {q: 2, o: 2, v: 7, h: 4, k: 2, p: 2}. Give prob of picking 1 k, 1 p, and 2 h. Soln: 2/323 Situation: What is prob of picking 2 t when two letters picked without replacement from {b: 3, f: 5, m: 2, t: 3}? Soln: 1/26 Situation: Two letters picked without replacement from {a: 1, x: 19}. Give prob of picking 2 x. Soln: 9/10 Situation: Three letters picked without replacement from {v: 4, j: 3, d: 9, h: 2}. What is prob of picking 2 j and 1 d? Soln: 9/272 Situation: What is prob of picking 1 k and 1 z when two letters picked without replacement from lnokolzogoolg? Soln: 1/78 Situation: Two letters picked without replacement from ttg. Give prob of picking 2 t. Soln: 1/3 Situation: Two letters picked without replacement from iempe. Give prob of picking 1 e and 1 p. Soln: 1/5 Situation: Calculate prob of picking 1 p, 1 h, and 1 f when three letters picked without replacement from pfhfhff. Soln: 8/35 Situation: Two letters picked without replacement from {r: 3, c: 1, t: 1, y: 4, v: 2}. What is prob of picking 2 r? Soln: 3/55 Situation: What is prob of picking 1 s and 1 h when two letters picked without replacement from {j: 1, s: 1, h: 1}? Soln: 1/3 Situation: What is prob of picking 1 u and 2 x when three letters picked without replacement from {c: 4, x: 3, u: 1}? Soln: 3/56 Situation: Four letters picked without replacement from xxgggvgvvxxvvg. What is prob of picking 1 v and 3 x? Soln: 20/1001 Situation: Two letters picked without replacement from {h: 1, b: 2, d: 1, a: 8, y: 2, p: 1}. What is prob of picking 1 b and 1 p? Soln: 2/105 Situation: What is prob of picking 2 f, 1 z, and 1 i when four letters picked without replacement from {i: 7, f: 8, d: 2, z: 2}? Soln: 98/969 Situation: Calculate prob of picking 2 j when two letters picked without rep
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probability: swr p sequence --------------------------- Qn: What is prob of sequence iy when two letters picked without replacement from {v: 1, y: 1, x: 1, i: 1, s: 1}? Response: 1/20 Qn: Four letters picked without replacement from {b: 3, c: 1, h: 6, j: 5}. Give prob of sequence jhbb. Response: 1/182 Qn: Calculate prob of sequence ch when two letters picked without replacement from kgkhggc. Response: 1/42 Qn: Four letters picked without replacement from {a: 8, n: 2, o: 5, e: 1, q: 2}. What is prob of sequence enoa? Response: 1/918 Qn: Three letters picked without replacement from {i: 4, o: 4, n: 2, a: 2, q: 1, h: 1}. What is prob of sequence ihi? Response: 1/182 Qn: Calculate prob of sequence lzll when four letters picked without replacement from {z: 14, l: 4}. Response: 7/1530 Qn: Three letters picked without replacement from {m: 2, w: 2, p: 8, t: 1, x: 1}. Give prob of sequence twx. Response: 1/1092 Qn: Four letters picked without replacement from txnn. What is prob of sequence ntxn? Response: 1/12 Qn: What is prob of sequence zhu when three letters picked without replacement from uuduzudhuxhundxzuudh? Response: 2/285 Qn: Calculate prob of sequence xtte when four letters picked without replacement from tetzuuztxxxzxzzhhz. Response: 1/3060 Qn: Three letters picked without replacement from ahpaauai. What is prob of sequence aap? Response: 1/28 Qn: What is prob of sequence lle when three letters picked without replacement from {r: 3, d: 7, e: 7, l: 2}? Response: 7/2907 Qn: What is prob of sequence nnv when three letters picked without replacement from {v: 12, x: 3, n: 1}? Response: 0 Qn: Three letters picked without replacement from {o: 2, a: 3}. Give prob of sequence oao. Response: 1/10 Qn: Four letters picked without replacement from vxxvvovvxxoxxoxvvxvo. What is prob of sequence ovox? Response: 32/4845 Qn: Three letters picked without replacement from nzlwhzzzwnznzzuzzlw. What is prob of sequence unn? Response: 1/969 Qn: What is prob of sequence uuxt when four le
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measurement: conversion ----------------------- Example: Convert 0.662653 minutes to microseconds. Eval: 39759180 Example: How many litres are there in 905.8276ml? Eval: 0.9058276 Example: How many nanoseconds are there in 1/5 of a microsecond? Eval: 200 Example: How many months are there in 5026.703 decades? Eval: 603204.36 Example: What is 35.633817 nanoseconds in days? Eval: 0.0000000000004124284375 Example: How many years are there in 6.79951 millennia? Eval: 6799.51 Example: How many minutes are there in four thirds of a day? Eval: 1920 Example: How many milligrams are there in 11/4 of a gram? Eval: 2750 Example: How many kilograms are there in 32/5 of a tonne? Eval: 6400 Example: What is five quarters of a litre in millilitres? Eval: 1250 Example: How many millilitres are there in 6/5 of a litre? Eval: 1200 Example: What is 1/10 of a litre in millilitres? Eval: 100 Example: How many kilometers are there in 9.334135 nanometers? Eval: 0.000000000009334135 Example: Convert 24.66402 micrometers to kilometers. Eval: 0.00000002466402 Example: What is 5010.179 centuries in years? Eval: 501017.9 Example: What is twenty-seven halves of a second in milliseconds? Eval: 13500 Example: What is seven halves of a meter in millimeters? Eval: 3500 Example: How many millimeters are there in one fifth of a centimeter? Eval: 2 Example: How many nanometers are there in 653.5044 centimeters? Eval: 6535044000 Example: What is one twentieth of a milligram in micrograms? Eval: 50 Example: How many millimeters are there in 45/2 of a meter? Eval: 22500 Example: How many decades are there in 6.05826 years? Eval: 0.605826 Example: Convert 269.78181s to minutes. Eval: 4.4963635 Example: How many micrometers are there in 3/50 of a meter? Eval: 60000 Example: What is 13/8 of a gram in milligrams? Eval: 1625 Example: What is 70.05408mm in micrometers? Eval: 70054.08 Example: How many millilitres are there in 0.4589438 litres? Eval: 458.9438 Example: Convert 85.95304 weeks to milliseconds. Eva
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arithmetic: nearest integer root -------------------------------- Subject: What is the seventh root of 1455901 to the nearest integer? Soln: 8 Subject: What is the cube root of 24603793 to the nearest integer? Soln: 291 Subject: What is 216 to the power of 1/2, to the nearest integer? Soln: 15 Subject: What is the cube root of 1886794014 to the nearest integer? Soln: 1236 Subject: What is the square root of 703152 to the nearest integer? Soln: 839 Subject: What is the third root of 1430 to the nearest integer? Soln: 11 Subject: What is the seventh root of 432838653 to the nearest integer? Soln: 17 Subject: What is 38011 to the power of 1/3, to the nearest integer? Soln: 34 Subject: What is the square root of 4789 to the nearest integer? Soln: 69 Subject: What is the square root of 747 to the nearest integer? Soln: 27 Subject: What is 75117924 to the power of 1/2, to the nearest integer? Soln: 8667 Subject: What is 520857 to the power of 1/3, to the nearest integer? Soln: 80 Subject: What is 148581032 to the power of 1/2, to the nearest integer? Soln: 12189 Subject: What is 412948628 to the power of 1/2, to the nearest integer? Soln: 20321 Subject: What is the cube root of 143536 to the nearest integer? Soln: 52 Subject: What is 517528 to the power of 1/6, to the nearest integer? Soln: 9 Subject: What is the cube root of 359621929 to the nearest integer? Soln: 711 Subject: What is the sixth root of 2340 to the nearest integer? Soln: 4 Subject: What is the seventh root of 25260262 to the nearest integer? Soln: 11 Subject: What is 2016721 to the power of 1/2, to the nearest integer? Soln: 1420 Subject: What is 532490412 to the power of 1/2, to the nearest integer? Soln: 23076 Subject: What is 163472833 to the power of 1/9, to the nearest integer? Soln: 8 Subject: What is the square root of 1722791976 to the nearest integer? Soln: 41507 Subject: What is the tenth root of 6484 to the nearest integer? Soln: 2 Subject: What is 189185 to the power of 1/2, to the nearest int
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probability: swr p sequence --------------------------- Problem: Two letters picked without replacement from {u: 2, k: 1, p: 6, m: 2}. What is prob of sequence pp? Gives: 3/11 Problem: Four letters picked without replacement from kjkdjtj. Give prob of sequence jktj. Gives: 1/70 Problem: Three letters picked without replacement from sstsssbtttstptt. What is prob of sequence bss? Gives: 1/91 Problem: Calculate prob of sequence ui when two letters picked without replacement from ilnug. Gives: 1/20 Problem: Two letters picked without replacement from zqjqqqqqlvzj. Give prob of sequence lj. Gives: 1/66 Problem: Two letters picked without replacement from inhtuth. Give prob of sequence hh. Gives: 1/21 Problem: Two letters picked without replacement from eeeplkelxkeleelek. Give prob of sequence xk. Gives: 3/272 Problem: What is prob of sequence sss when three letters picked without replacement from nsnsnnns? Gives: 1/56 Problem: Four letters picked without replacement from wpwpwopwppopwpwwpop. Give prob of sequence opop. Gives: 3/646 Problem: What is prob of sequence mga when three letters picked without replacement from {a: 4, m: 12, g: 1, y: 3}? Gives: 2/285 Problem: Calculate prob of sequence yew when three letters picked without replacement from {e: 1, w: 1, m: 2, y: 4, x: 2, b: 2}. Gives: 1/330 Problem: Calculate prob of sequence lzlz when four letters picked without replacement from {z: 7, l: 9}. Gives: 9/130 Problem: Calculate prob of sequence lek when three letters picked without replacement from {k: 1, n: 6, c: 6, u: 1, l: 1, e: 3}. Gives: 1/1632 Problem: Four letters picked without replacement from {c: 6, v: 8, l: 1}. What is prob of sequence vccv? Gives: 2/39 Problem: Two letters picked without replacement from {b: 7}. What is prob of sequence bb? Gives: 1 Problem: Two letters picked without replacement from {a: 1, j: 4, g: 3, s: 2, n: 2, d: 3}. Give prob of sequence na. Gives: 1/105 Problem: What is prob of sequence jj when two letters picked without replacemen
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measurement: time ----------------- Conundrum: How many minutes are there between 2:42 PM and 2:31 AM? Interpretation: 709 Conundrum: What is 485 minutes before 8:18 AM? Interpretation: 12:13 AM Conundrum: What is 568 minutes before 7:53 PM? Interpretation: 10:25 AM Conundrum: What is 56 minutes after 4:07 PM? Interpretation: 5:03 PM Conundrum: What is 546 minutes before 3:32 PM? Interpretation: 6:26 AM Conundrum: How many minutes are there between 3:03 PM and 12:16 AM? Interpretation: 553 Conundrum: How many minutes are there between 7:41 PM and 1:05 AM? Interpretation: 324 Conundrum: How many minutes are there between 6:42 PM and 4:58 AM? Interpretation: 616 Conundrum: How many minutes are there between 4:24 AM and 12:25 PM? Interpretation: 481 Conundrum: What is 423 minutes after 11:16 AM? Interpretation: 6:19 PM Conundrum: What is 676 minutes after 4:23 AM? Interpretation: 3:39 PM Conundrum: What is 240 minutes before 3:19 PM? Interpretation: 11:19 AM Conundrum: What is 341 minutes after 2:38 AM? Interpretation: 8:19 AM Conundrum: How many minutes are there between 3:45 AM and 1:21 PM? Interpretation: 576 Conundrum: How many minutes are there between 9:05 AM and 8:21 PM? Interpretation: 676 Conundrum: What is 296 minutes after 8:05 AM? Interpretation: 1:01 PM Conundrum: How many minutes are there between 3:07 AM and 10:32 AM? Interpretation: 445 Conundrum: What is 491 minutes before 4:21 PM? Interpretation: 8:10 AM Conundrum: What is 310 minutes after 4:56 PM? Interpretation: 10:06 PM Conundrum: What is 209 minutes before 3:18 PM? Interpretation: 11:49 AM Conundrum: How many minutes are there between 8:04 PM and 9:07 PM? Interpretation: 63 Conundrum: What is 4 minutes before 5:43 PM? Interpretation: 5:39 PM Conundrum: What is 665 minutes after 7:43 PM? Interpretation: 6:48 AM Conundrum: How many minutes are there between 6:25 AM and 9:21 AM? Interpretation: 176 Conundrum: What is 584 minutes after 8:15 AM? Interpretation: 5:59 PM Conundrum: How many minutes are
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numbers: div remainder ---------------------- Subject: What is the remainder when 23 is divided by 2? A: 1 Subject: What is the remainder when 730879 is divided by 397? A: 2 Subject: What is the remainder when 1049 is divided by 70? A: 69 Subject: What is the remainder when 35685 is divided by 2377? A: 30 Subject: What is the remainder when 33707 is divided by 8073? A: 1415 Subject: What is the remainder when 1161057 is divided by 1817? A: 1811 Subject: Calculate the remainder when 1944 is divided by 149. A: 7 Subject: Calculate the remainder when 880384 is divided by 13. A: 11 Subject: What is the remainder when 156124 is divided by 272? A: 268 Subject: Calculate the remainder when 176819766 is divided by 10. A: 6 Subject: What is the remainder when 13802868 is divided by 1971838? A: 2 Subject: What is the remainder when 1652738 is divided by 23278? A: 0 Subject: What is the remainder when 27131 is divided by 83? A: 73 Subject: What is the remainder when 6342 is divided by 9? A: 6 Subject: Calculate the remainder when 12257121 is divided by 11. A: 8 Subject: What is the remainder when 527935 is divided by 842? A: 1 Subject: What is the remainder when 484 is divided by 151? A: 31 Subject: What is the remainder when 65971 is divided by 32755? A: 461 Subject: What is the remainder when 615320 is divided by 59? A: 9 Subject: Calculate the remainder when 1537 is divided by 261. A: 232 Subject: What is the remainder when 53589037 is divided by 1378? A: 1373 Subject: Calculate the remainder when 1001 is divided by 480. A: 41 Subject: What is the remainder when 4298 is divided by 1429? A: 11 Subject: What is the remainder when 112575 is divided by 228? A: 171 Subject: What is the remainder when 134654 is divided by 235? A: 234 Subject: What is the remainder when 614713 is divided by 254? A: 33 Subject: Calculate the remainder when 18135 is divided by 1713. A: 1005 Subject: What is the remainder when 6193 is divided by 63? A: 19 Subject: Calculate the remainder when 2319015
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numbers: is factor ------------------ Scenario: Is 728 a factor of 11190518? Gives: False Scenario: Does 69 divide 35427? Gives: False Scenario: Does 7 divide 355894? Gives: True Scenario: Is 64814000 a multiple of 2540? Gives: False Scenario: Is 4 a factor of 572? Gives: True Scenario: Is 27412051 a multiple of 139? Gives: True Scenario: Is 786228363 a multiple of 81? Gives: True Scenario: Is 42401367 a multiple of 7? Gives: False Scenario: Is 97867 a multiple of 451? Gives: True Scenario: Is 19 a factor of 2375? Gives: True Scenario: Does 3 divide 3039? Gives: True Scenario: Is 416325 a multiple of 22? Gives: False Scenario: Does 63 divide 5160? Gives: False Scenario: Is 33621762 a multiple of 3? Gives: True Scenario: Is 326 a factor of 666609716? Gives: False Scenario: Does 13 divide 4143489318? Gives: False Scenario: Is 49 a factor of 57722? Gives: True Scenario: Is 36 a factor of 39560? Gives: False Scenario: Is 36697536 a multiple of 288? Gives: True Scenario: Is 87 a factor of 2817060? Gives: True Scenario: Is 13941375 a multiple of 15? Gives: True Scenario: Is 276 a factor of 45454? Gives: False Scenario: Is 4037 a multiple of 75? Gives: False Scenario: Is 62016085 a multiple of 451? Gives: False Scenario: Does 129 divide 158928? Gives: True Scenario: Does 10 divide 3660? Gives: True Scenario: Does 5 divide 4090? Gives: True Scenario: Is 35422 a multiple of 220? Gives: False Scenario: Is 675 a multiple of 11? Gives: False Scenario: Does 12 divide 871031736? Gives: True Scenario: Does 14 divide 31076? Gives: False Scenario: Is 9018733 a multiple of 740? Gives: False Scenario: Does 25 divide 558? Gives: False Scenario: Is 63045 a multiple of 45? Gives: True Scenario: Does 8 divide 200? Gives: True Scenario: Does 24 divide 26474? Gives: False Scenario: Does 3 divide 18579? Gives: True Scenario: Is 14372856 a multiple of 19? Gives: False Scenario: Does 71 divide 12638? Gives: True Scenario: Is 1020 a factor of 365944380? Gives: True Scenario: Does 20 divide 7253
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probability: swr p level set ---------------------------- Ask: Four letters picked without replacement from {e: 5, z: 4, q: 1}. What is prob of picking 2 e and 2 z? Solution: 2/7 Ask: Four letters picked without replacement from kvwhvvwvwsv. What is prob of picking 1 h, 2 v, and 1 w? Solution: 1/11 Ask: Three letters picked without replacement from zwq. Give prob of picking 1 z and 2 q. Solution: 0 Ask: What is prob of picking 2 o and 1 i when three letters picked without replacement from oioioioioioooooiiiii? Solution: 15/38 Ask: Two letters picked without replacement from gzmkiukmkzm. What is prob of picking 2 i? Solution: 0 Ask: What is prob of picking 1 f and 1 b when two letters picked without replacement from fuutcfffb? Solution: 1/9 Ask: Calculate prob of picking 1 o and 2 d when three letters picked without replacement from {d: 5, r: 2, o: 3, u: 2}. Solution: 3/22 Ask: Two letters picked without replacement from {u: 3, r: 6, o: 5, e: 3}. Give prob of picking 1 e and 1 r. Solution: 9/68 Ask: Two letters picked without replacement from aadadaaaadaaaadaadaa. What is prob of picking 1 a and 1 d? Solution: 15/38 Ask: Two letters picked without replacement from {k: 2, x: 4}. What is prob of picking 2 k? Solution: 1/15 Ask: What is prob of picking 4 u when four letters picked without replacement from nnunnnnnnnuuuurunnu? Solution: 35/3876 Ask: What is prob of picking 2 p and 2 i when four letters picked without replacement from piiiiiiiiiiipppiii? Solution: 91/510 Ask: Three letters picked without replacement from qrrqqrrrqrqr. What is prob of picking 1 r and 2 q? Solution: 7/22 Ask: Calculate prob of picking 2 b and 1 i when three letters picked without replacement from iqbiiqqqiibibiiqiib. Solution: 20/323 Ask: Four letters picked without replacement from {p: 1, v: 11}. What is prob of picking 4 v? Solution: 2/3 Ask: What is prob of picking 1 c and 3 d when four letters picked without replacement from {c: 13, d: 6}? Solution: 65/969 Ask: Calculate prob of picking
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numbers: place value -------------------- Example: What is the hundreds digit of 8275? Sol: 2 Example: What is the hundreds digit of 21675? Sol: 6 Example: What is the hundreds digit of 131278? Sol: 2 Example: What is the hundreds digit of 838806? Sol: 8 Example: What is the hundreds digit of 4244? Sol: 2 Example: What is the millions digit of 11870784? Sol: 1 Example: What is the tens digit of 4529536? Sol: 3 Example: What is the ten thousands digit of 16817? Sol: 1 Example: What is the units digit of 114? Sol: 4 Example: What is the hundreds digit of 1592748? Sol: 7 Example: What is the hundreds digit of 44918072? Sol: 0 Example: What is the thousands digit of 24611? Sol: 4 Example: What is the thousands digit of 10444264? Sol: 4 Example: What is the hundred thousands digit of 217613? Sol: 2 Example: What is the thousands digit of 171232? Sol: 1 Example: What is the units digit of 18868213? Sol: 3 Example: What is the tens digit of 80? Sol: 8 Example: What is the ten thousands digit of 117844339? Sol: 4 Example: What is the thousands digit of 9621? Sol: 9 Example: What is the hundreds digit of 362535? Sol: 5 Example: What is the hundreds digit of 40407018? Sol: 0 Example: What is the hundred millions digit of 122898340? Sol: 1 Example: What is the ten thousands digit of 55598? Sol: 5 Example: What is the hundreds digit of 1549? Sol: 5 Example: What is the tens digit of 496? Sol: 9 Example: What is the millions digit of 6039273718? Sol: 9 Example: What is the ten thousands digit of 39746900? Sol: 4 Example: What is the hundreds digit of 1476? Sol: 4 Example: What is the ten millions digit of 14031155? Sol: 1 Example: What is the thousands digit of 5042622? Sol: 2 Example: What is the millions digit of 686539017? Sol: 6 Example: What is the thousands digit of 87558? Sol: 7 Example: What is the tens digit of 18633447? Sol: 4 Example: What is the millions digit of 87380501? Sol: 7 Example: What is the thousands digit of 249408? Sol: 9 Example: What is the tens digit o
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numbers: lcm ------------ Test item: What is the common denominator of 19/211084 and -13/40? Result: 2110840 Test item: Calculate the common denominator of 41/95 and -37/917. Result: 87115 Test item: Calculate the common denominator of 50/31 and 24. Result: 31 Test item: Calculate the least common multiple of 2 and 1076094. Result: 1076094 Test item: What is the common denominator of -7/36 and 88/63? Result: 252 Test item: Calculate the common denominator of 13/7392 and 37/62384. Result: 4117344 Test item: Calculate the common denominator of 35/414 and -31/33948. Result: 33948 Test item: Calculate the smallest common multiple of 1297912 and 4. Result: 1297912 Test item: What is the common denominator of 13/11949 and -2/27? Result: 107541 Test item: What is the common denominator of -95/942292 and -79/10? Result: 4711460 Test item: Calculate the least common multiple of 78 and 1. Result: 78 Test item: Find the common denominator of 61/832 and 31/1088. Result: 14144 Test item: Calculate the common denominator of 43/27263620 and 97/40895430. Result: 81790860 Test item: What is the common denominator of -27/762125 and 27/335? Result: 762125 Test item: What is the smallest common multiple of 36 and 499629762? Result: 999259524 Test item: Find the common denominator of -75/2158 and -13/46314. Result: 602082 Test item: Calculate the least common multiple of 10 and 3158. Result: 15790 Test item: Calculate the lowest common multiple of 21 and 924. Result: 924 Test item: What is the smallest common multiple of 79 and 31? Result: 2449 Test item: What is the common denominator of 103/27249300 and -20/187? Result: 299742300 Test item: Calculate the least common multiple of 50 and 37636. Result: 940900 Test item: What is the lowest common multiple of 2240 and 20? Result: 2240 Test item: What is the least common multiple of 225 and 720? Result: 3600 Test item: Calculate the smallest common multiple of 56 and 3136. Result: 3136 Test item: Find the common denominator of 71/64 and -2
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arithmetic: nearest integer root -------------------------------- Ask: What is the cube root of 141643911 to the nearest integer? Response: 521 Ask: What is 178132074 to the power of 1/3, to the nearest integer? Response: 563 Ask: What is the square root of 75806256 to the nearest integer? Response: 8707 Ask: What is 651049 to the power of 1/3, to the nearest integer? Response: 87 Ask: What is the tenth root of 12038 to the nearest integer? Response: 3 Ask: What is the fifth root of 162119 to the nearest integer? Response: 11 Ask: What is 8381992 to the power of 1/3, to the nearest integer? Response: 203 Ask: What is the third root of 3729 to the nearest integer? Response: 16 Ask: What is the square root of 1294738 to the nearest integer? Response: 1138 Ask: What is 45717613 to the power of 1/8, to the nearest integer? Response: 9 Ask: What is 204058 to the power of 1/2, to the nearest integer? Response: 452 Ask: What is 470 to the power of 1/2, to the nearest integer? Response: 22 Ask: What is the seventh root of 298589 to the nearest integer? Response: 6 Ask: What is the seventh root of 1319087672 to the nearest integer? Response: 20 Ask: What is the third root of 2335476841 to the nearest integer? Response: 1327 Ask: What is the ninth root of 395439947 to the nearest integer? Response: 9 Ask: What is the third root of 1421721 to the nearest integer? Response: 112 Ask: What is 406 to the power of 1/4, to the nearest integer? Response: 4 Ask: What is the fifth root of 509625 to the nearest integer? Response: 14 Ask: What is 86550 to the power of 1/5, to the nearest integer? Response: 10 Ask: What is the square root of 20199 to the nearest integer? Response: 142 Ask: What is the cube root of 10304 to the nearest integer? Response: 22 Ask: What is the cube root of 185433 to the nearest integer? Response: 57 Ask: What is the third root of 5860 to the nearest integer? Response: 18 Ask: What is the square root of 2271 to the nearest integer? Response: 48 Ask: What is 13
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probability: swr p level set ---------------------------- Example: Three letters picked without replacement from kkqkkkkkkkqq. What is prob of picking 2 k and 1 q? Response: 27/55 Example: Four letters picked without replacement from prrrtrrptpp. Give prob of picking 1 r and 3 p. Response: 2/33 Example: Two letters picked without replacement from {m: 2, h: 4, g: 3, v: 1}. Give prob of picking 1 m and 1 v. Response: 2/45 Example: What is prob of picking 3 k when three letters picked without replacement from kkuizzzdkzid? Response: 1/220 Example: Three letters picked without replacement from cnnnc. What is prob of picking 1 c and 2 n? Response: 3/5 Example: What is prob of picking 3 v and 1 p when four letters picked without replacement from qpzdkqdpvqvppqv? Response: 4/1365 Example: Two letters picked without replacement from hbxsexn. Give prob of picking 1 n and 1 b. Response: 1/21 Example: Calculate prob of picking 2 t when two letters picked without replacement from {t: 6}. Response: 1 Example: Three letters picked without replacement from jaarajrjajr. What is prob of picking 3 j? Response: 4/165 Example: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {y: 1, p: 2, r: 2}. Response: 1/5 Example: Three letters picked without replacement from bbbbbb. Give prob of picking 3 b. Response: 1 Example: Two letters picked without replacement from {j: 8, q: 5, o: 3}. What is prob of picking 1 o and 1 j? Response: 1/5 Example: Two letters picked without replacement from sgggsssgsssssgggggss. Give prob of picking 2 s. Response: 11/38 Example: What is prob of picking 1 x, 1 u, and 1 q when three letters picked without replacement from uuuuuuuxxxxqqq? Response: 3/13 Example: Two letters picked without replacement from uzzpppuupu. What is prob of picking 2 u? Response: 2/15 Example: Calculate prob of picking 1 y, 2 u, and 1 b when four letters picked without replacement from buyopujuppuu. Response: 2/99 Example: Calculate prob of picking 3 n
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numbers: list prime factors --------------------------- Challenge: What are the prime factors of 40555133? Clarification: 40555133 Challenge: What are the prime factors of 12367? Clarification: 83, 149 Challenge: List the prime factors of 426071. Clarification: 17, 71, 353 Challenge: List the prime factors of 811648. Clarification: 2, 17, 373 Challenge: List the prime factors of 986257. Clarification: 986257 Challenge: What are the prime factors of 2202? Clarification: 2, 3, 367 Challenge: What are the prime factors of 173015? Clarification: 5, 34603 Challenge: What are the prime factors of 5265615571? Clarification: 1987, 2650033 Challenge: What are the prime factors of 21241? Clarification: 11, 1931 Challenge: List the prime factors of 11487991. Clarification: 3089, 3719 Challenge: What are the prime factors of 443371? Clarification: 23, 37, 521 Challenge: List the prime factors of 4502. Clarification: 2, 2251 Challenge: What are the prime factors of 1602769? Clarification: 7, 101, 2267 Challenge: List the prime factors of 6083153. Clarification: 83, 73291 Challenge: What are the prime factors of 476963? Clarification: 29, 16447 Challenge: List the prime factors of 183825922. Clarification: 2, 7, 1171, 11213 Challenge: What are the prime factors of 579343? Clarification: 17, 53, 643 Challenge: What are the prime factors of 13626791? Clarification: 937, 14543 Challenge: What are the prime factors of 394542748? Clarification: 2, 79, 1248553 Challenge: What are the prime factors of 11977609? Clarification: 7, 29, 8429 Challenge: List the prime factors of 21335. Clarification: 5, 17, 251 Challenge: What are the prime factors of 4191760? Clarification: 2, 5, 151, 347 Challenge: What are the prime factors of 3986? Clarification: 2, 1993 Challenge: What are the prime factors of 38942? Clarification: 2, 19471 Challenge: List the prime factors of 161801. Clarification: 37, 4373 Challenge: List the prime factors of 521. Clarification: 521 Challenge: What are the prime facto
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numbers: place value -------------------- Subquestion: What is the ten thousands digit of 1436474? Soln: 3 Subquestion: What is the hundreds digit of 210453? Soln: 4 Subquestion: What is the ten thousands digit of 1153212? Soln: 5 Subquestion: What is the hundred thousands digit of 24462633? Soln: 4 Subquestion: What is the tens digit of 15? Soln: 1 Subquestion: What is the units digit of 22194? Soln: 4 Subquestion: What is the tens digit of 623595868? Soln: 6 Subquestion: What is the tens digit of 321310? Soln: 1 Subquestion: What is the hundred thousands digit of 542962? Soln: 5 Subquestion: What is the hundred thousands digit of 10450374? Soln: 4 Subquestion: What is the ten thousands digit of 11165588? Soln: 6 Subquestion: What is the tens digit of 45153? Soln: 5 Subquestion: What is the tens digit of 50275? Soln: 7 Subquestion: What is the hundreds digit of 2065517? Soln: 5 Subquestion: What is the hundred thousands digit of 285462? Soln: 2 Subquestion: What is the tens digit of 143947? Soln: 4 Subquestion: What is the hundreds digit of 3790? Soln: 7 Subquestion: What is the ten thousands digit of 7720032? Soln: 2 Subquestion: What is the units digit of 47343? Soln: 3 Subquestion: What is the tens digit of 211? Soln: 1 Subquestion: What is the units digit of 732109? Soln: 9 Subquestion: What is the ten thousands digit of 1322043968? Soln: 4 Subquestion: What is the units digit of 20807910? Soln: 0 Subquestion: What is the thousands digit of 93938670? Soln: 8 Subquestion: What is the thousands digit of 4750? Soln: 4 Subquestion: What is the tens digit of 935? Soln: 3 Subquestion: What is the millions digit of 211792103? Soln: 1 Subquestion: What is the thousands digit of 66139? Soln: 6 Subquestion: What is the hundreds digit of 2194621? Soln: 6 Subquestion: What is the hundreds digit of 1807? Soln: 8 Subquestion: What is the tens digit of 14348? Soln: 4 Subquestion: What is the millions digit of 502722304? Soln: 2 Subquestion: What is the hundred millions digit
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numbers: is factor ------------------ Item: Is 89741 a multiple of 4? Solution: False Item: Is 271 a factor of 136768? Solution: False Item: Is 255536250 a multiple of 415? Solution: True Item: Is 16 a factor of 1051? Solution: False Item: Is 1659522 a multiple of 9? Solution: False Item: Does 186 divide 2382260? Solution: False Item: Does 16 divide 771556624? Solution: True Item: Is 9 a factor of 77? Solution: False Item: Is 279 a multiple of 31? Solution: True Item: Does 2760 divide 42229878? Solution: False Item: Does 25 divide 113500? Solution: True Item: Is 58 a multiple of 17? Solution: False Item: Is 1637 a factor of 109483229? Solution: False Item: Is 6 a factor of 786? Solution: True Item: Is 512 a factor of 131666? Solution: False Item: Is 26845 a multiple of 91? Solution: True Item: Is 12 a factor of 4779? Solution: False Item: Is 60 a factor of 1500? Solution: True Item: Is 4222 a multiple of 19? Solution: False Item: Does 2 divide 116556467? Solution: False Item: Is 45 a factor of 2844630? Solution: True Item: Is 1423570 a multiple of 10? Solution: True Item: Is 1352 a factor of 788678384? Solution: True Item: Does 23 divide 345? Solution: True Item: Is 505287 a multiple of 51? Solution: False Item: Does 25 divide 6925? Solution: True Item: Does 84 divide 69217680? Solution: True Item: Does 14 divide 11421? Solution: False Item: Does 116 divide 4048661348? Solution: True Item: Is 407 a multiple of 37? Solution: True Item: Does 7761 divide 428200317? Solution: False Item: Is 510062 a multiple of 7? Solution: True Item: Is 491535226 a multiple of 7? Solution: True Item: Is 24 a factor of 1166796094? Solution: False Item: Does 2683 divide 1748661348? Solution: True Item: Is 338 a multiple of 13? Solution: True Item: Is 21248 a multiple of 16? Solution: True Item: Is 62 even? Solution: True Item: Is 5297 a multiple of 10? Solution: False Item: Does 23 divide 3004927? Solution: True Item: Is 7 a factor of 31339328? Solution: False Item: Is 34408 a multiple o
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numbers: gcd ------------ Q.: What is the greatest common factor of 50457078 and 68103? Hence: 1449 Q.: Calculate the greatest common factor of 28 and 952. Hence: 28 Q.: Calculate the greatest common divisor of 15 and 1195. Hence: 5 Q.: What is the greatest common factor of 756 and 8366796? Hence: 36 Q.: What is the highest common divisor of 55 and 455037? Hence: 11 Q.: What is the greatest common factor of 108904 and 136? Hence: 8 Q.: What is the highest common divisor of 1220 and 5020? Hence: 20 Q.: What is the greatest common factor of 527 and 124? Hence: 31 Q.: What is the greatest common factor of 78232 and 219604336? Hence: 7112 Q.: Calculate the greatest common factor of 21 and 54012. Hence: 21 Q.: Calculate the highest common factor of 144 and 450. Hence: 18 Q.: What is the highest common divisor of 38848 and 512? Hence: 64 Q.: Calculate the greatest common divisor of 261 and 29. Hence: 29 Q.: What is the highest common factor of 2294 and 80550369? Hence: 1147 Q.: What is the highest common divisor of 1435555 and 262945? Hence: 215 Q.: What is the greatest common factor of 158 and 224293640? Hence: 158 Q.: Calculate the greatest common divisor of 187 and 2651. Hence: 11 Q.: What is the highest common divisor of 1080 and 513600? Hence: 120 Q.: What is the greatest common factor of 1696 and 53? Hence: 53 Q.: Calculate the greatest common divisor of 418 and 2266. Hence: 22 Q.: Calculate the greatest common factor of 1068 and 270. Hence: 6 Q.: What is the highest common factor of 294 and 50862? Hence: 294 Q.: Calculate the highest common divisor of 1783 and 1. Hence: 1 Q.: Calculate the highest common divisor of 10 and 4296918. Hence: 2 Q.: What is the greatest common factor of 348912 and 1305? Hence: 9 Q.: Calculate the greatest common factor of 22624 and 96. Hence: 32 Q.: What is the highest common divisor of 188 and 329? Hence: 47 Q.: What is the greatest common divisor of 791 and 226? Hence: 113 Q.: What is the greatest common divisor of 106 and 2? Hence: 2
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numbers: lcm ------------ Let us solve: Calculate the least common multiple of 1026 and 1026. Calculation: 1026 Let us solve: Find the common denominator of -92/15 and 46/33957. Calculation: 169785 Let us solve: What is the lowest common multiple of 30 and 3949910? Calculation: 11849730 Let us solve: Calculate the least common multiple of 76344 and 2061288. Calculation: 2061288 Let us solve: Calculate the common denominator of 31/256 and 137/880. Calculation: 14080 Let us solve: Find the common denominator of 61/490 and -52/12005. Calculation: 24010 Let us solve: Calculate the lowest common multiple of 514 and 22. Calculation: 5654 Let us solve: Calculate the smallest common multiple of 143740 and 20. Calculation: 143740 Let us solve: What is the smallest common multiple of 873195 and 75930? Calculation: 1746390 Let us solve: Calculate the common denominator of -25/1569 and 4/27. Calculation: 14121 Let us solve: Calculate the least common multiple of 116 and 580. Calculation: 580 Let us solve: Calculate the least common multiple of 8457432 and 4974960. Calculation: 84574320 Let us solve: Find the common denominator of 7/3099281 and -22/901. Calculation: 52687777 Let us solve: Calculate the common denominator of -34/108372125 and -39/139835. Calculation: 108372125 Let us solve: What is the least common multiple of 3427 and 47978? Calculation: 47978 Let us solve: What is the lowest common multiple of 77826 and 244596? Calculation: 1712172 Let us solve: Find the common denominator of 10/795261 and 20/7966089. Calculation: 469999251 Let us solve: Find the common denominator of 31/2184 and 17/18434. Calculation: 1548456 Let us solve: Calculate the lowest common multiple of 28 and 56. Calculation: 56 Let us solve: What is the smallest common multiple of 176211 and 344031? Calculation: 7224651 Let us solve: What is the lowest common multiple of 1133 and 206? Calculation: 2266 Let us solve: Calculate the lowest common multiple of 23885 and 160. Calculation: 764320 Let us so
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numbers: is factor ------------------ Statement: Is 385 a factor of 47484360? Solution: True Statement: Is 2 a factor of 31? Solution: False Statement: Is 701 a multiple of 52? Solution: False Statement: Does 82 divide 9091258? Solution: True Statement: Is 671 a factor of 99306658? Solution: True Statement: Is 1583 a factor of 427975131? Solution: True Statement: Is 104360 a multiple of 2? Solution: True Statement: Is 697875671 a multiple of 719? Solution: False Statement: Is 9834596 a multiple of 4? Solution: True Statement: Is 17 a factor of 14651800? Solution: False Statement: Is 319674 a multiple of 290? Solution: False Statement: Does 13 divide 4974? Solution: False Statement: Does 154 divide 24640? Solution: True Statement: Is 41670 a multiple of 18? Solution: True Statement: Is 5 a factor of 298? Solution: False Statement: Does 411 divide 16453974? Solution: True Statement: Is 38 a factor of 5115964421? Solution: False Statement: Does 60 divide 16320? Solution: True Statement: Is 15 a factor of 53325? Solution: True Statement: Is 9 a factor of 882? Solution: True Statement: Is 430495 a multiple of 5? Solution: True Statement: Does 18 divide 11106? Solution: True Statement: Is 128963676 a multiple of 1284? Solution: True Statement: Is 46 a factor of 21022? Solution: True Statement: Is 261 a factor of 6724530? Solution: False Statement: Does 1179 divide 79448? Solution: False Statement: Does 25 divide 47256? Solution: False Statement: Does 13 divide 95105? Solution: False Statement: Is 44482971 a multiple of 17? Solution: False Statement: Does 15 divide 12060? Solution: True Statement: Does 63 divide 18018? Solution: True Statement: Is 17 a factor of 2762258? Solution: False Statement: Is 1760 a multiple of 16? Solution: True Statement: Is 12 a factor of 48? Solution: True Statement: Does 65 divide 145341755? Solution: True Statement: Is 57 a factor of 296813208? Solution: False Statement: Does 45 divide 9900? Solution: True Statement: Is 10 a factor of 538295?
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probability: swr p level set ---------------------------- Step: Two letters picked without replacement from lzllllll. Give prob of picking 2 l. Interpretation: 3/4 Step: What is prob of picking 1 v, 1 h, and 1 b when three letters picked without replacement from {v: 1, y: 2, t: 2, h: 1, b: 1}? Interpretation: 1/35 Step: Calculate prob of picking 2 n when two letters picked without replacement from mmnmkmkmmmnnnvynn. Interpretation: 15/136 Step: Two letters picked without replacement from fgu. What is prob of picking 1 f and 1 u? Interpretation: 1/3 Step: Four letters picked without replacement from {y: 4, o: 3, m: 1, b: 2, g: 2}. Give prob of picking 1 y, 1 o, and 2 g. Interpretation: 4/165 Step: Four letters picked without replacement from {l: 3, c: 3, m: 1, g: 2, u: 6}. What is prob of picking 4 u? Interpretation: 1/91 Step: Four letters picked without replacement from {x: 9, v: 1, d: 6, c: 1, h: 2}. What is prob of picking 2 x, 1 h, and 1 d? Interpretation: 36/323 Step: Four letters picked without replacement from smmshhsmmmh. Give prob of picking 3 h and 1 m. Interpretation: 1/66 Step: Two letters picked without replacement from {a: 1, b: 2, k: 1}. What is prob of picking 1 k and 1 b? Interpretation: 1/3 Step: Two letters picked without replacement from {c: 2, v: 1, k: 2, o: 1}. What is prob of picking 1 o and 1 k? Interpretation: 2/15 Step: Two letters picked without replacement from {t: 7, l: 6}. What is prob of picking 2 t? Interpretation: 7/26 Step: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {e: 2, u: 1, x: 2, o: 1, z: 1}. Interpretation: 1/21 Step: Two letters picked without replacement from gtgttbssbggg. Give prob of picking 2 b. Interpretation: 1/66 Step: What is prob of picking 1 v, 2 j, and 1 h when four letters picked without replacement from {k: 8, h: 1, c: 1, g: 3, j: 3, v: 3}? Interpretation: 3/1292 Step: Four letters picked without replacement from {w: 7}. Give prob of picking 4 w. Interpretation: 1 Step:
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numbers: place value -------------------- Situation: What is the thousands digit of 385758040? Answer: 8 Situation: What is the ten millions digit of 4237579473? Answer: 3 Situation: What is the hundreds digit of 14110398? Answer: 3 Situation: What is the millions digit of 641565323? Answer: 1 Situation: What is the millions digit of 7690835621? Answer: 0 Situation: What is the tens digit of 5673? Answer: 7 Situation: What is the units digit of 44787447? Answer: 7 Situation: What is the units digit of 9997673? Answer: 3 Situation: What is the thousands digit of 31814? Answer: 1 Situation: What is the units digit of 9? Answer: 9 Situation: What is the ten thousands digit of 121442418? Answer: 4 Situation: What is the hundreds digit of 110724? Answer: 7 Situation: What is the hundreds digit of 793927? Answer: 9 Situation: What is the ten thousands digit of 27476785? Answer: 7 Situation: What is the hundred thousands digit of 30392861? Answer: 3 Situation: What is the hundred thousands digit of 258191? Answer: 2 Situation: What is the units digit of 1981? Answer: 1 Situation: What is the billions digit of 2321430972? Answer: 2 Situation: What is the units digit of 1065? Answer: 5 Situation: What is the units digit of 19878158? Answer: 8 Situation: What is the thousands digit of 1924? Answer: 1 Situation: What is the tens digit of 70747? Answer: 4 Situation: What is the tens digit of 721341851? Answer: 5 Situation: What is the units digit of 766699? Answer: 9 Situation: What is the millions digit of 7211901052? Answer: 1 Situation: What is the ten thousands digit of 17697? Answer: 1 Situation: What is the units digit of 2352131? Answer: 1 Situation: What is the units digit of 7659666? Answer: 6 Situation: What is the millions digit of 3514210155? Answer: 4 Situation: What is the hundreds digit of 9988? Answer: 9 Situation: What is the ten millions digit of 81287929? Answer: 8 Situation: What is the hundred thousands digit of 3069203? Answer: 0 Situation: What is the hun
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arithmetic: nearest integer root -------------------------------- Ask: What is 24241416 to the power of 1/9, to the nearest integer? Result: 7 Ask: What is 7211573 to the power of 1/6, to the nearest integer? Result: 14 Ask: What is the third root of 1432 to the nearest integer? Result: 11 Ask: What is the square root of 117967635 to the nearest integer? Result: 10861 Ask: What is 484797749 to the power of 1/2, to the nearest integer? Result: 22018 Ask: What is 3942667 to the power of 1/7, to the nearest integer? Result: 9 Ask: What is 220315966 to the power of 1/2, to the nearest integer? Result: 14843 Ask: What is the tenth root of 1379387 to the nearest integer? Result: 4 Ask: What is the tenth root of 4822 to the nearest integer? Result: 2 Ask: What is the cube root of 8739833 to the nearest integer? Result: 206 Ask: What is 195234344 to the power of 1/8, to the nearest integer? Result: 11 Ask: What is the seventh root of 28106 to the nearest integer? Result: 4 Ask: What is the third root of 1776 to the nearest integer? Result: 12 Ask: What is the third root of 33266 to the nearest integer? Result: 32 Ask: What is the cube root of 792 to the nearest integer? Result: 9 Ask: What is the square root of 5510 to the nearest integer? Result: 74 Ask: What is the fourth root of 43117 to the nearest integer? Result: 14 Ask: What is the third root of 560172 to the nearest integer? Result: 82 Ask: What is 37918 to the power of 1/6, to the nearest integer? Result: 6 Ask: What is 314 to the power of 1/2, to the nearest integer? Result: 18 Ask: What is 25621183 to the power of 1/2, to the nearest integer? Result: 5062 Ask: What is 80352282 to the power of 1/2, to the nearest integer? Result: 8964 Ask: What is the third root of 2279774 to the nearest integer? Result: 132 Ask: What is the cube root of 255273048 to the nearest integer? Result: 634 Ask: What is 1107 to the power of 1/3, to the nearest integer? Result: 10 Ask: What is 71825522 to the power of 1/5, to the nearest i
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numbers: is prime ----------------- Ask: Is 11810999 prime? Finding: True Ask: Is 1485663 composite? Finding: True Ask: Is 2885977 prime? Finding: True Ask: Is 3821 prime? Finding: True Ask: Is 550499 prime? Finding: False Ask: Is 25777 composite? Finding: True Ask: Is 3240975541 prime? Finding: True Ask: Is 420253 prime? Finding: True Ask: Is 1267481 composite? Finding: False Ask: Is 3302431 prime? Finding: False Ask: Is 265 a composite number? Finding: True Ask: Is 624721367 composite? Finding: False Ask: Is 16673 a prime number? Finding: True Ask: Is 2337710927 prime? Finding: True Ask: Is 34819 a prime number? Finding: True Ask: Is 1415737 prime? Finding: False Ask: Is 7631408189 a prime number? Finding: False Ask: Is 2442227 composite? Finding: False Ask: Is 46346347 a composite number? Finding: True Ask: Is 247727 composite? Finding: True Ask: Is 125638 a prime number? Finding: False Ask: Is 7667449 composite? Finding: False Ask: Is 424397 composite? Finding: False Ask: Is 261513467 prime? Finding: True Ask: Is 589439 composite? Finding: False Ask: Is 5739007 a composite number? Finding: True Ask: Is 7134746887 a composite number? Finding: False Ask: Is 25211 prime? Finding: False Ask: Is 3110062279 prime? Finding: False Ask: Is 221861 composite? Finding: True Ask: Is 80140164107 a composite number? Finding: False Ask: Is 601727883 a prime number? Finding: False Ask: Is 26053 a composite number? Finding: False Ask: Is 133313 a prime number? Finding: False Ask: Is 29173 composite? Finding: False Ask: Is 125131037 composite? Finding: False Ask: Is 1235422961 composite? Finding: False Ask: Is 8807 a composite number? Finding: False Ask: Is 76343530261 composite? Finding: True Ask: Is 27509 composite? Finding: False Ask: Is 158003 composite? Finding: False Ask: Is 3923729 prime? Finding: False Ask: Is 30403 prime? Finding: True Ask: Is 1971349 a composite number? Finding: False Ask: Is 5975892179 a prime number? Finding: False Ask: Is 10655085641 prime? Finding: T
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numbers: is factor ------------------ Given: Is 56 a factor of 231504? Resolution: True Given: Is 353447031 a multiple of 1257? Resolution: True Given: Is 1091 a factor of 49095990? Resolution: False Given: Does 506 divide 3929795? Resolution: False Given: Is 39 a factor of 42390387? Resolution: True Given: Does 78 divide 9656088? Resolution: True Given: Does 40 divide 425? Resolution: False Given: Is 20 a factor of 2860? Resolution: True Given: Is 7 a factor of 76? Resolution: False Given: Is 790 a multiple of 72? Resolution: False Given: Is 3331 a factor of 613453615? Resolution: True Given: Does 21 divide 6158? Resolution: False Given: Is 34 a factor of 2788? Resolution: True Given: Is 14 a factor of 1166? Resolution: False Given: Is 635 a factor of 318135? Resolution: True Given: Is 1784 a factor of 142737840? Resolution: True Given: Is 1149062715 a multiple of 171? Resolution: True Given: Does 464 divide 64206464? Resolution: True Given: Is 520292286 a multiple of 18? Resolution: True Given: Is 29 a factor of 11532771? Resolution: False Given: Is 389295 a multiple of 18? Resolution: False Given: Does 42 divide 8470850? Resolution: False Given: Is 29255090 a multiple of 710? Resolution: False Given: Does 216 divide 43124? Resolution: False Given: Does 102 divide 2206056? Resolution: True Given: Is 12 a factor of 4350803820? Resolution: True Given: Is 3 a factor of 79658141? Resolution: False Given: Does 11 divide 616792? Resolution: True Given: Is 122 a multiple of 2? Resolution: True Given: Does 24 divide 276? Resolution: False Given: Does 221 divide 830013886? Resolution: False Given: Is 28627 a multiple of 17? Resolution: False Given: Is 189 a factor of 38556? Resolution: True Given: Is 11 a factor of 4727591? Resolution: True Given: Is 1041525539 a multiple of 7? Resolution: False Given: Is 145180 a multiple of 34? Resolution: True Given: Is 63 a factor of 2142? Resolution: True Given: Is 38 a factor of 560060821? Resolution: False Given: Is 19583909 a multi
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probability: swr p level set ---------------------------- Subject: Three letters picked without replacement from yskxf. What is prob of picking 1 k, 1 x, and 1 s? Eval: 1/10 Subject: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {p: 2, l: 1, g: 1, b: 1, r: 1, m: 1}. Eval: 2/21 Subject: Calculate prob of picking 2 a when two letters picked without replacement from aaamaaaoaaaaaaanako. Eval: 91/171 Subject: What is prob of picking 2 j when two letters picked without replacement from {j: 3, l: 8}? Eval: 3/55 Subject: What is prob of picking 2 d when two letters picked without replacement from {g: 6, m: 1, s: 1, d: 4, a: 1}? Eval: 1/13 Subject: What is prob of picking 1 i and 2 t when three letters picked without replacement from xioxitttiixitix? Eval: 36/455 Subject: Calculate prob of picking 2 g when two letters picked without replacement from mqggg. Eval: 3/10 Subject: What is prob of picking 1 n, 1 y, and 1 w when three letters picked without replacement from {y: 1, l: 1, i: 1, n: 1, w: 1}? Eval: 1/10 Subject: Two letters picked without replacement from {p: 5, m: 9}. What is prob of picking 2 p? Eval: 10/91 Subject: Two letters picked without replacement from llvpvplpplpv. What is prob of picking 2 l? Eval: 1/11 Subject: Four letters picked without replacement from {o: 2, g: 11, j: 1}. Give prob of picking 2 o and 2 g. Eval: 5/91 Subject: What is prob of picking 1 a and 2 r when three letters picked without replacement from iikszra? Eval: 0 Subject: What is prob of picking 3 t and 1 d when four letters picked without replacement from {d: 8, t: 3}? Eval: 4/165 Subject: Three letters picked without replacement from kpwkckakk. Give prob of picking 1 c, 1 w, and 1 a. Eval: 1/84 Subject: Calculate prob of picking 1 s, 1 k, and 1 p when three letters picked without replacement from {n: 1, s: 1, k: 1, p: 1, a: 1, e: 2}. Eval: 1/35 Subject: Two letters picked without replacement from earrrrerfrehh. What is prob of picking 2 f? Eval:
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numbers: div remainder ---------------------- Situation: What is the remainder when 1894 is divided by 133? Conclusion: 32 Situation: What is the remainder when 221690 is divided by 300? Conclusion: 290 Situation: What is the remainder when 2814481 is divided by 327? Conclusion: 319 Situation: Calculate the remainder when 662 is divided by 19. Conclusion: 16 Situation: What is the remainder when 194 is divided by 63? Conclusion: 5 Situation: What is the remainder when 805 is divided by 58? Conclusion: 51 Situation: What is the remainder when 723084 is divided by 30128? Conclusion: 12 Situation: Calculate the remainder when 6126 is divided by 2121. Conclusion: 1884 Situation: Calculate the remainder when 2626 is divided by 439. Conclusion: 431 Situation: Calculate the remainder when 1065 is divided by 530. Conclusion: 5 Situation: Calculate the remainder when 43319 is divided by 81. Conclusion: 65 Situation: Calculate the remainder when 420165 is divided by 988. Conclusion: 265 Situation: What is the remainder when 98 is divided by 85? Conclusion: 13 Situation: Calculate the remainder when 2470 is divided by 644. Conclusion: 538 Situation: What is the remainder when 69706 is divided by 3317? Conclusion: 49 Situation: Calculate the remainder when 141 is divided by 48. Conclusion: 45 Situation: What is the remainder when 630 is divided by 3? Conclusion: 0 Situation: Calculate the remainder when 102 is divided by 21. Conclusion: 18 Situation: Calculate the remainder when 75696 is divided by 10. Conclusion: 6 Situation: Calculate the remainder when 13868044 is divided by 6934013. Conclusion: 18 Situation: Calculate the remainder when 1991 is divided by 12. Conclusion: 11 Situation: Calculate the remainder when 558 is divided by 275. Conclusion: 8 Situation: What is the remainder when 6955245 is divided by 869398? Conclusion: 61 Situation: Calculate the remainder when 919 is divided by 92. Conclusion: 91 Situation: Calculate the remainder when 2044 is divided by 36. Concl
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numbers: div remainder ---------------------- Prompt: What is the remainder when 21811 is divided by 7? Compute: 6 Prompt: What is the remainder when 84 is divided by 4? Compute: 0 Prompt: What is the remainder when 106078 is divided by 100? Compute: 78 Prompt: Calculate the remainder when 31355 is divided by 7744. Compute: 379 Prompt: What is the remainder when 49679 is divided by 64? Compute: 15 Prompt: Calculate the remainder when 11504 is divided by 21. Compute: 17 Prompt: Calculate the remainder when 266472 is divided by 1075. Compute: 947 Prompt: What is the remainder when 677 is divided by 34? Compute: 31 Prompt: What is the remainder when 1460461 is divided by 74? Compute: 71 Prompt: Calculate the remainder when 965550 is divided by 20. Compute: 10 Prompt: Calculate the remainder when 1929087 is divided by 116. Compute: 7 Prompt: What is the remainder when 390 is divided by 66? Compute: 60 Prompt: What is the remainder when 385714 is divided by 178? Compute: 166 Prompt: What is the remainder when 21476 is divided by 62? Compute: 24 Prompt: Calculate the remainder when 614649 is divided by 12. Compute: 9 Prompt: What is the remainder when 1229 is divided by 112? Compute: 109 Prompt: Calculate the remainder when 28945647 is divided by 2816. Compute: 2799 Prompt: Calculate the remainder when 214646 is divided by 47. Compute: 44 Prompt: What is the remainder when 412999 is divided by 82585? Compute: 74 Prompt: Calculate the remainder when 38484554 is divided by 1480173. Compute: 56 Prompt: Calculate the remainder when 894236 is divided by 1104. Compute: 1100 Prompt: Calculate the remainder when 405 is divided by 24. Compute: 21 Prompt: What is the remainder when 1362845 is divided by 790? Compute: 95 Prompt: What is the remainder when 327524 is divided by 597? Compute: 368 Prompt: Calculate the remainder when 10989 is divided by 380. Compute: 349 Prompt: What is the remainder when 10655805 is divided by 228? Compute: 225 Prompt: What is the remainder when 1389 i
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measurement: conversion ----------------------- Math Q: How many millilitres are there in 4.671667 litres? Finding: 4671.667 Math Q: How many micrograms are there in 5987.852 milligrams? Finding: 5987852 Math Q: Convert 3453.515us to milliseconds. Finding: 3.453515 Math Q: How many millilitres are there in 7/4 of a litre? Finding: 1750 Math Q: How many seconds are there in 2/27 of a day? Finding: 6400 Math Q: What is twenty-one quarters of a millennium in months? Finding: 63000 Math Q: How many months are there in 21/5 of a millennium? Finding: 50400 Math Q: Convert 0.1612364l to millilitres. Finding: 161.2364 Math Q: What is twelve sevenths of a week in days? Finding: 12 Math Q: Convert 990846.3l to millilitres. Finding: 990846300 Math Q: How many months are there in 11/2 of a millennium? Finding: 66000 Math Q: What is 40355.95 millilitres in litres? Finding: 40.35595 Math Q: Convert 0.1209916mm to centimeters. Finding: 0.01209916 Math Q: Convert 6807.537 millilitres to litres. Finding: 6.807537 Math Q: What is 4.00635 nanometers in kilometers? Finding: 0.00000000000400635 Math Q: How many centimeters are there in 971393.4km? Finding: 97139340000 Math Q: How many micrograms are there in 3/40 of a gram? Finding: 75000 Math Q: Convert 8.353443 millennia to years. Finding: 8353.443 Math Q: How many kilograms are there in three eighths of a tonne? Finding: 375 Math Q: How many centimeters are there in 9/10 of a meter? Finding: 90 Math Q: What is 448727.5 meters in kilometers? Finding: 448.7275 Math Q: What is one sixteenth of a meter in micrometers? Finding: 62500 Math Q: How many hours are there in 4627.04 weeks? Finding: 777342.72 Math Q: How many litres are there in 0.5001252ml? Finding: 0.0005001252 Math Q: What is eight sevenths of a week in minutes? Finding: 11520 Math Q: How many kilometers are there in 941100.2 meters? Finding: 941.1002 Math Q: How many minutes are there in 0.2742013 weeks? Finding: 2763.949104 Math Q: What is six fifths of a litre in millilitr
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probability: swr p level set ---------------------------- Statement: Four letters picked without replacement from {x: 12, i: 3, l: 1}. Give prob of picking 2 i, 1 x, and 1 l. Thus: 9/455 Statement: Calculate prob of picking 1 n, 2 u, and 1 f when four letters picked without replacement from nfuufff. Thus: 4/35 Statement: What is prob of picking 1 b and 2 y when three letters picked without replacement from {n: 1, y: 9, r: 5, b: 3}? Thus: 9/68 Statement: Three letters picked without replacement from srsssrrrsr. Give prob of picking 3 s. Thus: 1/12 Statement: What is prob of picking 2 b when two letters picked without replacement from {b: 2, j: 7}? Thus: 1/36 Statement: Two letters picked without replacement from nlrnrrlnr. Give prob of picking 2 n. Thus: 1/12 Statement: Three letters picked without replacement from {i: 13, m: 1, x: 3}. What is prob of picking 1 i and 2 m? Thus: 0 Statement: Three letters picked without replacement from iylyicdicidd. Give prob of picking 1 l and 2 d. Thus: 3/220 Statement: Two letters picked without replacement from {f: 9, w: 9}. Give prob of picking 2 w. Thus: 4/17 Statement: Three letters picked without replacement from qmmmmqbmmbmbmmm. What is prob of picking 3 m? Thus: 24/91 Statement: What is prob of picking 1 k and 1 f when two letters picked without replacement from {k: 1, e: 3, u: 1, f: 1, p: 1}? Thus: 1/21 Statement: Four letters picked without replacement from jxjxqxxjwjzu. What is prob of picking 1 j, 1 q, and 2 z? Thus: 0 Statement: Two letters picked without replacement from qjq. Give prob of picking 1 j and 1 q. Thus: 2/3 Statement: Four letters picked without replacement from ytfytnynfyzn. What is prob of picking 1 n and 3 y? Thus: 4/165 Statement: Four letters picked without replacement from mmmmommmoomoomommm. Give prob of picking 1 o and 3 m. Thus: 22/51 Statement: Calculate prob of picking 2 y when two letters picked without replacement from {m: 4, c: 1, k: 8, y: 2, j: 1}. Thus: 1/120 Statement: Three letters picked
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numbers: is factor ------------------ Question: Is 5448798 a multiple of 12? Therefore: False Question: Is 682 a multiple of 31? Therefore: True Question: Is 231345 a multiple of 97? Therefore: True Question: Is 430701525 a multiple of 6225? Therefore: True Question: Is 191 a factor of 17878? Therefore: False Question: Does 347 divide 25843172? Therefore: True Question: Is 23 a factor of 1106? Therefore: False Question: Does 2 divide 1637? Therefore: False Question: Is 364 a factor of 179516644? Therefore: False Question: Is 11 a factor of 4219? Therefore: False Question: Is 66 a factor of 23408? Therefore: False Question: Does 677 divide 4330769? Therefore: True Question: Is 8228805 a multiple of 95? Therefore: True Question: Does 161 divide 1896996? Therefore: False Question: Is 39 a factor of 702? Therefore: True Question: Does 1341 divide 7984314? Therefore: True Question: Is 6480488 a multiple of 27? Therefore: False Question: Is 83945 a multiple of 36? Therefore: False Question: Is 180 a factor of 18305998? Therefore: False Question: Does 105 divide 9057720? Therefore: True Question: Is 146925513 a multiple of 21? Therefore: True Question: Does 864 divide 252456? Therefore: False Question: Does 14 divide 42948? Therefore: False Question: Is 876895 a multiple of 83? Therefore: True Question: Does 18 divide 2777? Therefore: False Question: Is 13 a factor of 163334099? Therefore: False Question: Does 2 divide 367? Therefore: False Question: Is 138 a factor of 6696526961? Therefore: False Question: Is 19 a factor of 42421832? Therefore: True Question: Is 105 a multiple of 21? Therefore: True Question: Is 5542 a multiple of 104? Therefore: False Question: Is 1535 a multiple of 28? Therefore: False Question: Is 512385420 a multiple of 445? Therefore: False Question: Is 20 a factor of 132906500? Therefore: True Question: Does 1373 divide 9080980? Therefore: False Question: Does 2 divide 16385488? Therefore: True Question: Is 2469 a factor of 6540573? Therefore: False
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numbers: is factor ------------------ Subject: Is 295 a factor of 81946? Workthrough: False Subject: Does 253 divide 38883? Workthrough: False Subject: Is 13 a factor of 223? Workthrough: False Subject: Does 31 divide 217? Workthrough: True Subject: Is 17916 a multiple of 12? Workthrough: True Subject: Does 7 divide 664? Workthrough: False Subject: Does 27 divide 486? Workthrough: True Subject: Does 48 divide 6960? Workthrough: True Subject: Is 105 a factor of 5141? Workthrough: False Subject: Is 14162478 a multiple of 1298? Workthrough: True Subject: Is 798600 a multiple of 200? Workthrough: True Subject: Does 3 divide 4231? Workthrough: False Subject: Is 4358606 a multiple of 8? Workthrough: False Subject: Is 65 a factor of 6765? Workthrough: False Subject: Does 1911 divide 76634922? Workthrough: True Subject: Is 503 a multiple of 42? Workthrough: False Subject: Is 22 a factor of 1798324? Workthrough: True Subject: Is 12237339 even? Workthrough: False Subject: Is 10 a factor of 10770? Workthrough: True Subject: Is 1376852 a multiple of 6? Workthrough: False Subject: Is 21 a factor of 2562? Workthrough: True Subject: Is 31044 a multiple of 12? Workthrough: True Subject: Is 146 a factor of 3114109? Workthrough: False Subject: Is 362 a factor of 54662? Workthrough: True Subject: Is 66206 a multiple of 22? Workthrough: False Subject: Is 19 a factor of 34386? Workthrough: False Subject: Does 10 divide 5968? Workthrough: False Subject: Does 7 divide 736820? Workthrough: True Subject: Is 4336 a factor of 52149072? Workthrough: True Subject: Is 210 a multiple of 7? Workthrough: True Subject: Is 9 a factor of 25587265? Workthrough: False Subject: Is 8593 a multiple of 13? Workthrough: True Subject: Is 29 a factor of 899? Workthrough: True Subject: Is 3 a factor of 313326? Workthrough: True Subject: Does 216 divide 9646102? Workthrough: False Subject: Does 654 divide 31070917? Workthrough: False Subject: Is 14768 a multiple of 71? Workthrough: True Subject: Is 349092010 a m
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numbers: div remainder ---------------------- Q.: What is the remainder when 10687 is divided by 821? Steps: 14 Q.: Calculate the remainder when 2881 is divided by 11. Steps: 10 Q.: What is the remainder when 7211 is divided by 3572? Steps: 67 Q.: Calculate the remainder when 332291 is divided by 1288. Steps: 1275 Q.: What is the remainder when 289514047 is divided by 1648? Steps: 1647 Q.: What is the remainder when 977 is divided by 938? Steps: 39 Q.: What is the remainder when 80268 is divided by 1672? Steps: 12 Q.: Calculate the remainder when 2300382 is divided by 2576. Steps: 14 Q.: What is the remainder when 6404022 is divided by 309? Steps: 306 Q.: Calculate the remainder when 5900 is divided by 500. Steps: 400 Q.: Calculate the remainder when 808 is divided by 30. Steps: 28 Q.: What is the remainder when 13 is divided by 8? Steps: 5 Q.: Calculate the remainder when 52964 is divided by 964. Steps: 908 Q.: Calculate the remainder when 7092 is divided by 4. Steps: 0 Q.: What is the remainder when 424 is divided by 400? Steps: 24 Q.: What is the remainder when 150314 is divided by 150290? Steps: 24 Q.: Calculate the remainder when 251 is divided by 68. Steps: 47 Q.: What is the remainder when 3013 is divided by 67? Steps: 65 Q.: Calculate the remainder when 419571 is divided by 150. Steps: 21 Q.: Calculate the remainder when 11765 is divided by 488. Steps: 53 Q.: Calculate the remainder when 25589 is divided by 3646. Steps: 67 Q.: Calculate the remainder when 15131 is divided by 3918. Steps: 3377 Q.: What is the remainder when 635851 is divided by 3044? Steps: 2699 Q.: What is the remainder when 15750 is divided by 88? Steps: 86 Q.: Calculate the remainder when 286 is divided by 172. Steps: 114 Q.: Calculate the remainder when 49 is divided by 17. Steps: 15 Q.: What is the remainder when 4591 is divided by 230? Steps: 221 Q.: What is the remainder when 227 is divided by 169? Steps: 58 Q.: Calculate the remainder when 367 is divided by 98. Steps: 73 Q.: What is t
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numbers: is prime ----------------- Scenario: Is 101327 prime? A: False Scenario: Is 183871 composite? A: False Scenario: Is 17604418511 prime? A: False Scenario: Is 5157607957 a prime number? A: True Scenario: Is 2786545351 prime? A: True Scenario: Is 1500013 a prime number? A: False Scenario: Is 358871 a prime number? A: False Scenario: Is 1568320799 composite? A: False Scenario: Is 12767 a prime number? A: False Scenario: Is 56470317 prime? A: False Scenario: Is 4757231 a composite number? A: False Scenario: Is 3369021911 prime? A: True Scenario: Is 60808667 a composite number? A: True Scenario: Is 5539648495 prime? A: False Scenario: Is 489 a prime number? A: False Scenario: Is 44771 prime? A: True Scenario: Is 2587912913 composite? A: False Scenario: Is 6255938146 a composite number? A: True Scenario: Is 47985863 a composite number? A: True Scenario: Is 538726261 a prime number? A: True Scenario: Is 25862129 prime? A: True Scenario: Is 18041 a composite number? A: False Scenario: Is 16956329053 composite? A: False Scenario: Is 3017909 prime? A: False Scenario: Is 5708372063 a composite number? A: True Scenario: Is 315179 composite? A: False Scenario: Is 14638271 a composite number? A: True Scenario: Is 29752009 a composite number? A: True Scenario: Is 471241 a prime number? A: True Scenario: Is 81040835 a composite number? A: True Scenario: Is 11617 a prime number? A: True Scenario: Is 3564841 a prime number? A: False Scenario: Is 75967 a prime number? A: True Scenario: Is 9852649 prime? A: True Scenario: Is 720443209 a composite number? A: True Scenario: Is 32603251 a prime number? A: True Scenario: Is 66136099 prime? A: True Scenario: Is 11959 a composite number? A: False Scenario: Is 1937891 composite? A: False Scenario: Is 452735 a composite number? A: True Scenario: Is 1601335 a composite number? A: True Scenario: Is 2391 prime? A: False Scenario: Is 7369 composite? A: False Scenario: Is 255749339 a prime number? A: True Scenario: Is 146635 prime? A: False
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numbers: is factor ------------------ Subquestion: Does 10 divide 211840? Fix: True Subquestion: Does 1410 divide 54997050? Fix: True Subquestion: Is 1942 a multiple of 13? Fix: False Subquestion: Is 965 a multiple of 12? Fix: False Subquestion: Does 25 divide 451875? Fix: True Subquestion: Does 13 divide 91? Fix: True Subquestion: Does 5 divide 222147? Fix: False Subquestion: Is 157 a factor of 61901489? Fix: True Subquestion: Is 61 a factor of 432135928? Fix: False Subquestion: Is 218219 a multiple of 347? Fix: False Subquestion: Is 4630908 a multiple of 722? Fix: True Subquestion: Is 3000 a factor of 99378000? Fix: True Subquestion: Is 3 a factor of 145? Fix: False Subquestion: Is 208034 a multiple of 55? Fix: False Subquestion: Does 16 divide 2112? Fix: True Subquestion: Is 6657285 a multiple of 158? Fix: False Subquestion: Does 180 divide 31860? Fix: True Subquestion: Is 4372135 a multiple of 198? Fix: False Subquestion: Is 74922189 a multiple of 41? Fix: False Subquestion: Is 8 a factor of 103640? Fix: True Subquestion: Is 11 a factor of 7104? Fix: False Subquestion: Is 50247857 a multiple of 54? Fix: False Subquestion: Is 10 a factor of 5910? Fix: True Subquestion: Is 31 a factor of 877417893? Fix: True Subquestion: Is 138 a factor of 469572? Fix: False Subquestion: Is 3391101 a multiple of 63? Fix: True Subquestion: Is 448978 a multiple of 10? Fix: False Subquestion: Does 5 divide 225? Fix: True Subquestion: Is 83 a factor of 373? Fix: False Subquestion: Is 11015494 a multiple of 14? Fix: True Subquestion: Is 7 a factor of 18986? Fix: False Subquestion: Is 7 a factor of 1359659? Fix: True Subquestion: Does 570 divide 4685445? Fix: False Subquestion: Does 23 divide 1976315? Fix: False Subquestion: Is 11 a factor of 539? Fix: True Subquestion: Does 6 divide 45876? Fix: True Subquestion: Is 38 a factor of 92396734? Fix: True Subquestion: Is 66493 even? Fix: False Subquestion: Is 36 a factor of 1044? Fix: True Subquestion: Is 623 a factor of 1172203? Fix: False
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arithmetic: nearest integer root -------------------------------- Math Q: What is the cube root of 1428485603 to the nearest integer? Sol: 1126 Math Q: What is 404110 to the power of 1/7, to the nearest integer? Sol: 6 Math Q: What is 49546 to the power of 1/6, to the nearest integer? Sol: 6 Math Q: What is 2536 to the power of 1/9, to the nearest integer? Sol: 2 Math Q: What is the fourth root of 27138 to the nearest integer? Sol: 13 Math Q: What is the third root of 1759943 to the nearest integer? Sol: 121 Math Q: What is 40686726 to the power of 1/3, to the nearest integer? Sol: 344 Math Q: What is 163811052 to the power of 1/3, to the nearest integer? Sol: 547 Math Q: What is 21010410 to the power of 1/7, to the nearest integer? Sol: 11 Math Q: What is 315670124 to the power of 1/5, to the nearest integer? Sol: 50 Math Q: What is the third root of 4519011351 to the nearest integer? Sol: 1653 Math Q: What is 20816 to the power of 1/8, to the nearest integer? Sol: 3 Math Q: What is 662107 to the power of 1/2, to the nearest integer? Sol: 814 Math Q: What is 16929222 to the power of 1/8, to the nearest integer? Sol: 8 Math Q: What is 2263 to the power of 1/3, to the nearest integer? Sol: 13 Math Q: What is 330038867 to the power of 1/4, to the nearest integer? Sol: 135 Math Q: What is 81400417 to the power of 1/3, to the nearest integer? Sol: 433 Math Q: What is the third root of 739455 to the nearest integer? Sol: 90 Math Q: What is 839179 to the power of 1/2, to the nearest integer? Sol: 916 Math Q: What is the square root of 5864281 to the nearest integer? Sol: 2422 Math Q: What is the square root of 34415311 to the nearest integer? Sol: 5866 Math Q: What is the square root of 45104 to the nearest integer? Sol: 212 Math Q: What is 43582 to the power of 1/2, to the nearest integer? Sol: 209 Math Q: What is 512055 to the power of 1/3, to the nearest integer? Sol: 80 Math Q: What is the square root of 594167 to the nearest integer? Sol: 771 Math Q: What is the squa
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arithmetic: nearest integer root -------------------------------- Query: What is the fifth root of 1115972 to the nearest integer? Calculation: 16 Query: What is 139994909 to the power of 1/9, to the nearest integer? Calculation: 8 Query: What is the square root of 2994557 to the nearest integer? Calculation: 1730 Query: What is 353798136 to the power of 1/2, to the nearest integer? Calculation: 18810 Query: What is the eighth root of 30 to the nearest integer? Calculation: 2 Query: What is 105356 to the power of 1/2, to the nearest integer? Calculation: 325 Query: What is the seventh root of 101348 to the nearest integer? Calculation: 5 Query: What is 40897 to the power of 1/2, to the nearest integer? Calculation: 202 Query: What is 106713 to the power of 1/9, to the nearest integer? Calculation: 4 Query: What is 11246439 to the power of 1/3, to the nearest integer? Calculation: 224 Query: What is 5920770 to the power of 1/6, to the nearest integer? Calculation: 13 Query: What is the fifth root of 42568 to the nearest integer? Calculation: 8 Query: What is the cube root of 81247957 to the nearest integer? Calculation: 433 Query: What is 3329485 to the power of 1/4, to the nearest integer? Calculation: 43 Query: What is the square root of 13913 to the nearest integer? Calculation: 118 Query: What is the cube root of 23395221 to the nearest integer? Calculation: 286 Query: What is the sixth root of 413448 to the nearest integer? Calculation: 9 Query: What is the square root of 7036 to the nearest integer? Calculation: 84 Query: What is the third root of 1342 to the nearest integer? Calculation: 11 Query: What is the third root of 13867918 to the nearest integer? Calculation: 240 Query: What is the cube root of 61478 to the nearest integer? Calculation: 39 Query: What is 1243 to the power of 1/2, to the nearest integer? Calculation: 35 Query: What is 507 to the power of 1/2, to the nearest integer? Calculation: 23 Query: What is the third root of 4698 to the nearest i
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numbers: is prime ----------------- Subject: Is 87287 a prime number? Answer: False Subject: Is 6332514833 a composite number? Answer: False Subject: Is 313927 a prime number? Answer: False Subject: Is 418981 a prime number? Answer: True Subject: Is 18637 a composite number? Answer: False Subject: Is 12179 composite? Answer: True Subject: Is 12517 a prime number? Answer: True Subject: Is 9228521 composite? Answer: True Subject: Is 3941512933 a composite number? Answer: False Subject: Is 60937197351 a prime number? Answer: False Subject: Is 9330758 composite? Answer: True Subject: Is 5963 prime? Answer: False Subject: Is 36177329 composite? Answer: True Subject: Is 244429013 composite? Answer: True Subject: Is 6087118 composite? Answer: True Subject: Is 93849311 composite? Answer: True Subject: Is 92881 a composite number? Answer: True Subject: Is 10273711 prime? Answer: False Subject: Is 2579 composite? Answer: False Subject: Is 25222264283 prime? Answer: False Subject: Is 11149 prime? Answer: True Subject: Is 5478449299 prime? Answer: True Subject: Is 13477355 a composite number? Answer: True Subject: Is 169200851 composite? Answer: False Subject: Is 3344089549 a prime number? Answer: False Subject: Is 3825652889 a prime number? Answer: True Subject: Is 13810849729 a prime number? Answer: True Subject: Is 1568087 prime? Answer: True Subject: Is 3375136619 a prime number? Answer: False Subject: Is 145316491 composite? Answer: False Subject: Is 309634027 composite? Answer: True Subject: Is 16097243 a composite number? Answer: False Subject: Is 315373 a composite number? Answer: False Subject: Is 56095157 a prime number? Answer: False Subject: Is 17723693 prime? Answer: False Subject: Is 1924327 a composite number? Answer: False Subject: Is 19094440553 composite? Answer: False Subject: Is 3873103 a prime number? Answer: False Subject: Is 3728301791 a composite number? Answer: False Subject: Is 11294713 prime? Answer: False Subject: Is 25247 a composite number? Answer:
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probability: swr p sequence --------------------------- Math Q: What is prob of sequence enn when three letters picked without replacement from {n: 17, e: 1}? Thus: 1/18 Math Q: What is prob of sequence cee when three letters picked without replacement from {g: 2, w: 4, c: 1, e: 6}? Thus: 5/286 Math Q: What is prob of sequence gx when two letters picked without replacement from gxgxgggggggxgg? Thus: 33/182 Math Q: Two letters picked without replacement from {e: 3, h: 9}. Give prob of sequence hh. Thus: 6/11 Math Q: Calculate prob of sequence lle when three letters picked without replacement from wgweesmelweelweswgsl. Thus: 1/190 Math Q: Two letters picked without replacement from {l: 6, z: 3, v: 3, t: 6}. Give prob of sequence vt. Thus: 1/17 Math Q: What is prob of sequence ttt when three letters picked without replacement from {b: 5, g: 3, t: 3, q: 1}? Thus: 1/220 Math Q: Three letters picked without replacement from pjdwphl. Give prob of sequence pdh. Thus: 1/105 Math Q: Two letters picked without replacement from wwwwwwwwww. Give prob of sequence ww. Thus: 1 Math Q: What is prob of sequence hyy when three letters picked without replacement from hlhwwyhhwkyyyy? Thus: 10/273 Math Q: Two letters picked without replacement from {v: 3, g: 3, y: 2, z: 1, a: 1}. What is prob of sequence gy? Thus: 1/15 Math Q: Three letters picked without replacement from dppiciii. Give prob of sequence idp. Thus: 1/42 Math Q: What is prob of sequence mq when two letters picked without replacement from qmojvjh? Thus: 1/42 Math Q: Three letters picked without replacement from wzwzzzz. What is prob of sequence wzz? Thus: 4/21 Math Q: Three letters picked without replacement from {i: 5, y: 3, t: 5}. What is prob of sequence tty? Thus: 5/143 Math Q: Four letters picked without replacement from {l: 6, x: 3, d: 6}. What is prob of sequence dxxd? Thus: 1/182 Math Q: Four letters picked without replacement from {d: 5, l: 14}. Give prob of sequence dddd. Thus: 5/3876 Math Q: Calculate prob of seq
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probability: swr p level set ---------------------------- Task: What is prob of picking 2 g and 1 e when three letters picked without replacement from ttetgggt? Calculation: 3/56 Task: Calculate prob of picking 2 w when two letters picked without replacement from wlnnnww. Calculation: 1/7 Task: What is prob of picking 1 f, 1 h, 1 c, and 1 d when four letters picked without replacement from hlllcfgfhgfhd? Calculation: 9/715 Task: Two letters picked without replacement from {k: 1, d: 1, b: 10, n: 6, a: 1}. What is prob of picking 1 n and 1 k? Calculation: 2/57 Task: Three letters picked without replacement from {a: 3, d: 2, o: 2, k: 4}. Give prob of picking 1 k and 2 o. Calculation: 4/165 Task: What is prob of picking 1 y and 3 c when four letters picked without replacement from coocooocyoycyooyo? Calculation: 4/595 Task: Three letters picked without replacement from cqqqqcqqqqcqqqqcqqcq. What is prob of picking 3 c? Calculation: 1/114 Task: Two letters picked without replacement from qbbbqqncbnbc. Give prob of picking 2 c. Calculation: 1/66 Task: What is prob of picking 1 e, 1 x, and 1 i when three letters picked without replacement from {x: 1, i: 1, b: 2, e: 2, d: 2, h: 1}? Calculation: 1/42 Task: Two letters picked without replacement from {c: 3, h: 2, x: 4}. Give prob of picking 2 c. Calculation: 1/12 Task: Four letters picked without replacement from ooooooooonon. Give prob of picking 2 o and 2 n. Calculation: 1/11 Task: What is prob of picking 3 z and 1 h when four letters picked without replacement from zzvzzaazh? Calculation: 5/63 Task: Calculate prob of picking 2 u when two letters picked without replacement from {u: 9}. Calculation: 1 Task: What is prob of picking 2 g and 2 c when four letters picked without replacement from cggcggggccggggcg? Calculation: 55/182 Task: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from fkkwwwkkkkkkwwkwkkkw. Calculation: 6/95 Task: What is prob of picking 2 e when two letters picked without
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numbers: gcd ------------ Example: Calculate the greatest common divisor of 12342 and 60934269. Solution: 363 Example: Calculate the highest common factor of 52768397 and 33. Solution: 11 Example: Calculate the highest common divisor of 108944 and 11142. Solution: 1238 Example: Calculate the greatest common divisor of 576 and 2757042. Solution: 18 Example: Calculate the highest common factor of 2948 and 264. Solution: 44 Example: What is the greatest common factor of 77162 and 41? Solution: 41 Example: What is the greatest common factor of 3484985 and 245? Solution: 35 Example: Calculate the greatest common divisor of 162 and 18. Solution: 18 Example: Calculate the greatest common divisor of 475 and 171. Solution: 19 Example: What is the greatest common divisor of 100 and 8660? Solution: 20 Example: Calculate the highest common divisor of 1378792 and 27683. Solution: 893 Example: Calculate the highest common divisor of 565225 and 575. Solution: 575 Example: Calculate the greatest common divisor of 18 and 126. Solution: 18 Example: What is the highest common divisor of 15694 and 90426? Solution: 14 Example: Calculate the greatest common factor of 7589343 and 327. Solution: 327 Example: What is the greatest common factor of 137644 and 42068? Solution: 52 Example: What is the highest common divisor of 54 and 162103518? Solution: 54 Example: What is the highest common factor of 54613 and 13? Solution: 13 Example: What is the greatest common divisor of 3810 and 12? Solution: 6 Example: Calculate the highest common divisor of 15 and 332751930. Solution: 15 Example: What is the highest common divisor of 25 and 185? Solution: 5 Example: Calculate the greatest common divisor of 17261 and 574. Solution: 41 Example: What is the highest common divisor of 44674236 and 229? Solution: 229 Example: Calculate the highest common divisor of 1512 and 1021080. Solution: 24 Example: Calculate the greatest common factor of 128 and 16. Solution: 16 Example: Calculate the greatest common fa
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numbers: div remainder ---------------------- Problem #: Calculate the remainder when 602 is divided by 14. Outcome: 0 Problem #: Calculate the remainder when 6353 is divided by 904. Outcome: 25 Problem #: What is the remainder when 13 is divided by 6? Outcome: 1 Problem #: What is the remainder when 6043 is divided by 189? Outcome: 184 Problem #: What is the remainder when 3346737 is divided by 48? Outcome: 33 Problem #: What is the remainder when 340087 is divided by 170043? Outcome: 1 Problem #: What is the remainder when 43994 is divided by 14641? Outcome: 71 Problem #: What is the remainder when 306315 is divided by 2056? Outcome: 2027 Problem #: Calculate the remainder when 462991 is divided by 53. Outcome: 36 Problem #: What is the remainder when 8970 is divided by 44? Outcome: 38 Problem #: Calculate the remainder when 1446141 is divided by 482043. Outcome: 12 Problem #: Calculate the remainder when 6198 is divided by 3098. Outcome: 2 Problem #: Calculate the remainder when 2967 is divided by 10. Outcome: 7 Problem #: What is the remainder when 5482730 is divided by 203064? Outcome: 2 Problem #: Calculate the remainder when 1628 is divided by 1587. Outcome: 41 Problem #: Calculate the remainder when 5305722 is divided by 2759. Outcome: 165 Problem #: What is the remainder when 874510 is divided by 3169? Outcome: 3035 Problem #: What is the remainder when 909397 is divided by 1574? Outcome: 1199 Problem #: What is the remainder when 2356 is divided by 9? Outcome: 7 Problem #: What is the remainder when 6930058 is divided by 769? Outcome: 599 Problem #: What is the remainder when 220 is divided by 78? Outcome: 64 Problem #: What is the remainder when 8343 is divided by 758? Outcome: 5 Problem #: Calculate the remainder when 24639 is divided by 224. Outcome: 223 Problem #: Calculate the remainder when 1297368 is divided by 33. Outcome: 6 Problem #: Calculate the remainder when 539 is divided by 254. Outcome: 31 Problem #: What is the remainder when 516 is divid
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numbers: is factor ------------------ Task: Does 92 divide 22493? Compute: False Task: Is 6621 a multiple of 18? Compute: False Task: Is 23133584 a multiple of 23? Compute: True Task: Does 43 divide 531333069? Compute: True Task: Is 306 a multiple of 9? Compute: True Task: Is 8 a factor of 8? Compute: True Task: Is 11 a factor of 98511? Compute: False Task: Is 8 a factor of 720? Compute: True Task: Does 4 divide 8750485? Compute: False Task: Is 411 a factor of 45210? Compute: True Task: Is 117 a factor of 14157? Compute: True Task: Is 1113103 a multiple of 795? Compute: False Task: Is 104720 a multiple of 187? Compute: True Task: Is 17 a factor of 1173? Compute: True Task: Is 510987 a multiple of 15? Compute: False Task: Is 6 a factor of 40808354? Compute: False Task: Does 184 divide 9449136? Compute: True Task: Does 62 divide 2046? Compute: True Task: Does 37 divide 8984011? Compute: False Task: Is 1054 a multiple of 24? Compute: False Task: Is 16 a factor of 53667? Compute: False Task: Does 21 divide 180957? Compute: True Task: Is 27 a factor of 89730207? Compute: True Task: Is 4662525 a multiple of 15? Compute: True Task: Is 12 a factor of 6396? Compute: True Task: Is 1659836 a multiple of 17? Compute: False Task: Is 116580 a multiple of 5? Compute: True Task: Does 166 divide 2587770? Compute: False Task: Is 1330 a multiple of 95? Compute: True Task: Is 17136 a multiple of 32? Compute: False Task: Is 9725 a multiple of 22? Compute: False Task: Is 19 a factor of 1254? Compute: True Task: Does 4 divide 77143152? Compute: True Task: Is 411065312 a multiple of 1268? Compute: True Task: Is 650503900 a multiple of 25? Compute: True Task: Is 13 a factor of 702? Compute: True Task: Is 13 a factor of 923? Compute: True Task: Is 271128 a multiple of 126? Compute: False Task: Does 37 divide 15170? Compute: True Task: Is 9 a factor of 415? Compute: False Task: Is 52322140 a multiple of 52? Compute: True Task: Is 199 a multiple of 38? Compute: False Task: Is 405321902 a multi
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numbers: div remainder ---------------------- Let us solve: Calculate the remainder when 266879 is divided by 133424. Result: 31 Let us solve: Calculate the remainder when 74011 is divided by 1805. Result: 6 Let us solve: What is the remainder when 6601 is divided by 18? Result: 13 Let us solve: What is the remainder when 756 is divided by 41? Result: 18 Let us solve: What is the remainder when 119550 is divided by 59770? Result: 10 Let us solve: What is the remainder when 66936 is divided by 663? Result: 636 Let us solve: What is the remainder when 5932289 is divided by 109857? Result: 11 Let us solve: Calculate the remainder when 778766083 is divided by 11. Result: 7 Let us solve: What is the remainder when 212548 is divided by 212447? Result: 101 Let us solve: What is the remainder when 13476 is divided by 799? Result: 692 Let us solve: Calculate the remainder when 199 is divided by 50. Result: 49 Let us solve: What is the remainder when 1421 is divided by 18? Result: 17 Let us solve: What is the remainder when 50454 is divided by 33? Result: 30 Let us solve: What is the remainder when 606995 is divided by 4558? Result: 781 Let us solve: What is the remainder when 292376 is divided by 60? Result: 56 Let us solve: What is the remainder when 7599285 is divided by 146139? Result: 57 Let us solve: What is the remainder when 599 is divided by 249? Result: 101 Let us solve: Calculate the remainder when 8016365 is divided by 490. Result: 455 Let us solve: What is the remainder when 452354 is divided by 404? Result: 278 Let us solve: Calculate the remainder when 409767 is divided by 102430. Result: 47 Let us solve: What is the remainder when 3161 is divided by 7? Result: 4 Let us solve: Calculate the remainder when 45 is divided by 4. Result: 1 Let us solve: What is the remainder when 5517 is divided by 92? Result: 89 Let us solve: Calculate the remainder when 226 is divided by 205. Result: 21 Let us solve: What is the remainder when 151336 is divided by 285? Result: 1 L
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arithmetic: nearest integer root -------------------------------- Puzzle: What is 3439 to the power of 1/10, to the nearest integer? Workthrough: 2 Puzzle: What is the fourth root of 8980155 to the nearest integer? Workthrough: 55 Puzzle: What is the third root of 52710210 to the nearest integer? Workthrough: 375 Puzzle: What is 159104352 to the power of 1/8, to the nearest integer? Workthrough: 11 Puzzle: What is 64221290 to the power of 1/5, to the nearest integer? Workthrough: 36 Puzzle: What is the cube root of 2003 to the nearest integer? Workthrough: 13 Puzzle: What is 2956930361 to the power of 1/9, to the nearest integer? Workthrough: 11 Puzzle: What is the square root of 165658076 to the nearest integer? Workthrough: 12871 Puzzle: What is the square root of 1096875 to the nearest integer? Workthrough: 1047 Puzzle: What is the third root of 39288568 to the nearest integer? Workthrough: 340 Puzzle: What is the seventh root of 44519 to the nearest integer? Workthrough: 5 Puzzle: What is the third root of 2805 to the nearest integer? Workthrough: 14 Puzzle: What is the square root of 195 to the nearest integer? Workthrough: 14 Puzzle: What is the seventh root of 22135074 to the nearest integer? Workthrough: 11 Puzzle: What is the third root of 1341375 to the nearest integer? Workthrough: 110 Puzzle: What is 75627 to the power of 1/2, to the nearest integer? Workthrough: 275 Puzzle: What is the third root of 44121 to the nearest integer? Workthrough: 35 Puzzle: What is the cube root of 318491463 to the nearest integer? Workthrough: 683 Puzzle: What is 1698312 to the power of 1/10, to the nearest integer? Workthrough: 4 Puzzle: What is 4150664604 to the power of 1/4, to the nearest integer? Workthrough: 254 Puzzle: What is the tenth root of 539746 to the nearest integer? Workthrough: 4 Puzzle: What is 344 to the power of 1/10, to the nearest integer? Workthrough: 2 Puzzle: What is the cube root of 1939269239 to the nearest integer? Workthrough: 1247 Puzzle: What
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numbers: is prime ----------------- Statement: Is 632747 a prime number? Solution: True Statement: Is 136717 a composite number? Solution: True Statement: Is 4853 a prime number? Solution: False Statement: Is 999005939 composite? Solution: False Statement: Is 29070647 a prime number? Solution: True Statement: Is 33107 composite? Solution: False Statement: Is 10218185 a composite number? Solution: True Statement: Is 390909 prime? Solution: False Statement: Is 55549649 a composite number? Solution: False Statement: Is 787939 composite? Solution: False Statement: Is 728657 prime? Solution: False Statement: Is 3616607 a composite number? Solution: True Statement: Is 125706101 prime? Solution: True Statement: Is 5081273 a prime number? Solution: False Statement: Is 10571345 composite? Solution: True Statement: Is 23988299 composite? Solution: False Statement: Is 607444571 composite? Solution: False Statement: Is 18679911941 a prime number? Solution: False Statement: Is 13517 composite? Solution: True Statement: Is 93656663 prime? Solution: True Statement: Is 18029351 a prime number? Solution: True Statement: Is 6463139 composite? Solution: False Statement: Is 452833463 a prime number? Solution: False Statement: Is 45371567 a prime number? Solution: False Statement: Is 25030965413 a composite number? Solution: False Statement: Is 129426197 prime? Solution: True Statement: Is 79525468177 a composite number? Solution: False Statement: Is 426051733 prime? Solution: True Statement: Is 54406335355 a composite number? Solution: True Statement: Is 33659 prime? Solution: False Statement: Is 52769 composite? Solution: False Statement: Is 1667603 prime? Solution: False Statement: Is 402810797 composite? Solution: False Statement: Is 274009487 a composite number? Solution: True Statement: Is 620501 a prime number? Solution: False Statement: Is 24957091 a prime number? Solution: False Statement: Is 1715677 a prime number? Solution: False Statement: Is 3237991429 prime? Solution: True
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probability: swr p level set ---------------------------- Ask: Calculate prob of picking 2 a and 1 g when three letters picked without replacement from {g: 4, a: 4, h: 7, w: 3}. = : 1/34 Ask: What is prob of picking 1 n, 1 u, and 1 z when three letters picked without replacement from suzsnzunnunzzuuuzz? = : 3/17 Ask: What is prob of picking 1 d, 1 n, and 1 p when three letters picked without replacement from pxvvdnxvnpnnnnpxvv? = : 3/136 Ask: Calculate prob of picking 2 v when two letters picked without replacement from cmmvmbvbnbmvyvv. = : 2/21 Ask: Calculate prob of picking 1 t and 2 r when three letters picked without replacement from {r: 4, c: 1, t: 2, x: 2, m: 1, q: 5}. = : 12/455 Ask: Two letters picked without replacement from {p: 2, w: 10}. Give prob of picking 1 p and 1 w. = : 10/33 Ask: Four letters picked without replacement from kiwiioikwhowwoiihw. Give prob of picking 1 w, 1 o, 1 h, and 1 k. = : 1/51 Ask: What is prob of picking 1 z and 2 t when three letters picked without replacement from tzzzzzttzzttttzttzz? = : 120/323 Ask: What is prob of picking 4 p when four letters picked without replacement from {p: 4}? = : 1 Ask: Three letters picked without replacement from {q: 5, x: 3}. Give prob of picking 1 q and 2 x. = : 15/56 Ask: Four letters picked without replacement from {l: 1, w: 1, r: 1, t: 1, z: 2, o: 1}. Give prob of picking 1 l, 1 t, 1 r, and 1 z. = : 2/35 Ask: Calculate prob of picking 2 f and 1 q when three letters picked without replacement from nsqnsqqqfnsfsnq. = : 1/91 Ask: What is prob of picking 1 v, 1 m, and 1 a when three letters picked without replacement from mvapmau? = : 4/35 Ask: Four letters picked without replacement from {m: 1, f: 13, h: 3}. Give prob of picking 1 f and 3 h. = : 13/2380 Ask: What is prob of picking 1 o, 2 b, and 1 r when four letters picked without replacement from {r: 1, m: 5, b: 2, o: 7, l: 1}? = : 1/260 Ask: Calculate prob of picking 2 g when two letters picked without replacement from hggghddgdgxdg. = : 5/26
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numbers: place value -------------------- Task: What is the hundred thousands digit of 122785? Solution: 1 Task: What is the tens digit of 14360? Solution: 6 Task: What is the units digit of 8389484? Solution: 4 Task: What is the hundreds digit of 17195? Solution: 1 Task: What is the tens digit of 116662? Solution: 6 Task: What is the millions digit of 94552900? Solution: 4 Task: What is the hundreds digit of 70319? Solution: 3 Task: What is the hundreds digit of 229? Solution: 2 Task: What is the thousands digit of 25841? Solution: 5 Task: What is the units digit of 1731? Solution: 1 Task: What is the hundred thousands digit of 156647368? Solution: 6 Task: What is the units digit of 9293? Solution: 3 Task: What is the thousands digit of 1320897? Solution: 0 Task: What is the units digit of 428197085? Solution: 5 Task: What is the thousands digit of 487168712? Solution: 8 Task: What is the ten thousands digit of 70710? Solution: 7 Task: What is the ten thousands digit of 19997754? Solution: 9 Task: What is the units digit of 9489? Solution: 9 Task: What is the tens digit of 16615? Solution: 1 Task: What is the hundred thousands digit of 2800744545? Solution: 7 Task: What is the ten millions digit of 4899429894? Solution: 9 Task: What is the tens digit of 103082064? Solution: 6 Task: What is the thousands digit of 9303? Solution: 9 Task: What is the thousands digit of 2758? Solution: 2 Task: What is the tens digit of 5795? Solution: 9 Task: What is the hundreds digit of 513281? Solution: 2 Task: What is the ten thousands digit of 19606? Solution: 1 Task: What is the thousands digit of 4270555? Solution: 0 Task: What is the units digit of 470? Solution: 0 Task: What is the thousands digit of 159727? Solution: 9 Task: What is the units digit of 2007? Solution: 7 Task: What is the units digit of 114895? Solution: 5 Task: What is the units digit of 2812896? Solution: 6 Task: What is the ten millions digit of 283603266? Solution: 8 Task: What is the tens digit of 2177? So
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numbers: gcd composed --------------------- Problem Statement: Let o be (-1)/(2/8*3/(-6)). Suppose -y - o = -5*y. Suppose -y*z + 268 = 58. What is the highest common divisor of 42 and z? Calculation: 21 Problem Statement: Let r = 24 + 16. Let h(w) = -w**2 - w. Let k be h(-1). Suppose 4*x = 5*p + 52, k = -3*x + 4*p + 25 + 15. What is the greatest common factor of x and r? Calculation: 8 Problem Statement: Suppose w - 2125 = 1316. Suppose 15*k + 1221 = w. Calculate the greatest common divisor of 111 and k. Calculation: 37 Problem Statement: Let k(g) = 106*g**2 - 1. Let z = 11 + -12. Let v be k(z). Let d = 155 - v. What is the highest common factor of 10 and d? Calculation: 10 Problem Statement: Suppose -15 = -3*c - 0*x - 3*x, 3*c = -4*x + 17. What is the highest common factor of c and 9? Calculation: 3 Problem Statement: Suppose 3*k + 39 = 3*f, 5*f + 0*k = -2*k + 100. Calculate the greatest common factor of 2 and f. Calculation: 2 Problem Statement: Suppose 52 = 4*h - 3*p - 73, -4*h + 135 = -p. Calculate the greatest common divisor of h and 5. Calculation: 5 Problem Statement: Let d = -26 + 22. Let v = 10 + d. Calculate the greatest common divisor of v and 6. Calculation: 6 Problem Statement: Suppose -q + 16 = 3*q. Suppose q*m + b - 19 = 0, 0*m - 4*b = 4*m - 4. Suppose -c - m = -141. What is the highest common divisor of c and 15? Calculation: 15 Problem Statement: Let v be (-8)/(-4)*(17 - -5). Calculate the highest common divisor of v and 12. Calculation: 4 Problem Statement: Let c = 230 - 131. Suppose -c = -0*h - 11*h. Calculate the highest common factor of 9 and h. Calculation: 9 Problem Statement: Suppose -43 = -2*g - 13. Suppose g*n = 108 + 117. Calculate the greatest common factor of n and 165. Calculation: 15 Problem Statement: Let d(m) = -m**2 - 18*m + 83. Let r be d(0). What is the greatest common divisor of 2075 and r? Calculation: 83 Problem Statement: Let r = -2 - 0. Let t = r - -7. Let p(w) = -13*w - 166. Let y be p(-17). Calculate the greatest common div
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numbers: place value -------------------- Math Problem: What is the units digit of 61028458? Result: 8 Math Problem: What is the hundreds digit of 368? Result: 3 Math Problem: What is the ten millions digit of 640423271? Result: 4 Math Problem: What is the units digit of 58757636? Result: 6 Math Problem: What is the ten thousands digit of 64008836? Result: 0 Math Problem: What is the thousands digit of 44318764? Result: 8 Math Problem: What is the units digit of 135821? Result: 1 Math Problem: What is the hundred thousands digit of 1811412923? Result: 4 Math Problem: What is the millions digit of 32659938? Result: 2 Math Problem: What is the units digit of 434? Result: 4 Math Problem: What is the tens digit of 5691? Result: 9 Math Problem: What is the units digit of 95945? Result: 5 Math Problem: What is the hundreds digit of 144? Result: 1 Math Problem: What is the hundreds digit of 248259? Result: 2 Math Problem: What is the units digit of 4264? Result: 4 Math Problem: What is the hundred thousands digit of 68920196? Result: 9 Math Problem: What is the units digit of 868552010? Result: 0 Math Problem: What is the millions digit of 174219823? Result: 4 Math Problem: What is the hundreds digit of 16909? Result: 9 Math Problem: What is the tens digit of 1721833? Result: 3 Math Problem: What is the tens digit of 388763950? Result: 5 Math Problem: What is the units digit of 13024? Result: 4 Math Problem: What is the ten thousands digit of 681562? Result: 8 Math Problem: What is the hundred thousands digit of 108758? Result: 1 Math Problem: What is the hundreds digit of 320? Result: 3 Math Problem: What is the thousands digit of 9827714? Result: 7 Math Problem: What is the units digit of 66? Result: 6 Math Problem: What is the tens digit of 1945? Result: 4 Math Problem: What is the units digit of 1148122? Result: 2 Math Problem: What is the thousands digit of 62100940? Result: 0 Math Problem: What is the ten thousands digit of 615367? Result: 1 Math Problem: What is the
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measurement: conversion ----------------------- Ask: How many millilitres are there in 579.0434l? Clarification: 579043.4 Ask: How many millilitres are there in 26929.65 litres? Clarification: 26929650 Ask: Convert 10.5511 centuries to millennia. Clarification: 1.05511 Ask: How many kilometers are there in 839.1125 millimeters? Clarification: 0.0008391125 Ask: Convert 946.1154l to millilitres. Clarification: 946115.4 Ask: What is 25/2 of a meter in centimeters? Clarification: 1250 Ask: Convert 1671.6882 months to centuries. Clarification: 1.3930735 Ask: Convert 2047616.55 milliseconds to days. Clarification: 0.023699265625 Ask: Convert 1799.1411 months to centuries. Clarification: 1.49928425 Ask: How many months are there in 6420.11 decades? Clarification: 770413.2 Ask: What is 49/5 of a millennium in years? Clarification: 9800 Ask: How many millilitres are there in 29/2 of a litre? Clarification: 14500 Ask: How many months are there in 3/10 of a millennium? Clarification: 3600 Ask: How many nanometers are there in one quarter of a micrometer? Clarification: 250 Ask: Convert 1.534177 milligrams to nanograms. Clarification: 1534177 Ask: What is 5349.18 seconds in nanoseconds? Clarification: 5349180000000 Ask: What is 3/5 of a litre in millilitres? Clarification: 600 Ask: How many centimeters are there in 597.6245mm? Clarification: 59.76245 Ask: What is one twentieth of a litre in millilitres? Clarification: 50 Ask: What is 414766.7ml in litres? Clarification: 414.7667 Ask: Convert 0.935769 centuries to decades. Clarification: 9.35769 Ask: What is 6/25 of a centimeter in micrometers? Clarification: 2400 Ask: How many milliseconds are there in five quarters of a minute? Clarification: 75000 Ask: How many months are there in 8/3 of a century? Clarification: 3200 Ask: Convert 441058.7 milligrams to nanograms. Clarification: 441058700000 Ask: How many tonnes are there in 2011.107 milligrams? Clarification: 0.000002011107 Ask: Convert 2.920897 kilograms to grams. Clarifica
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numbers: place value -------------------- Subquestion: What is the hundreds digit of 252188? Soln: 1 Subquestion: What is the units digit of 17942? Soln: 2 Subquestion: What is the ten thousands digit of 38580181? Soln: 8 Subquestion: What is the millions digit of 12711941? Soln: 2 Subquestion: What is the hundreds digit of 54965719? Soln: 7 Subquestion: What is the tens digit of 19335? Soln: 3 Subquestion: What is the ten millions digit of 679916634? Soln: 7 Subquestion: What is the thousands digit of 63646663? Soln: 6 Subquestion: What is the units digit of 35? Soln: 5 Subquestion: What is the tens digit of 17903194? Soln: 9 Subquestion: What is the ten thousands digit of 129206? Soln: 2 Subquestion: What is the thousands digit of 15830? Soln: 5 Subquestion: What is the thousands digit of 1685127? Soln: 5 Subquestion: What is the units digit of 186509? Soln: 9 Subquestion: What is the hundred thousands digit of 125460? Soln: 1 Subquestion: What is the tens digit of 563790? Soln: 9 Subquestion: What is the millions digit of 10760579? Soln: 0 Subquestion: What is the tens digit of 2100297508? Soln: 0 Subquestion: What is the hundred thousands digit of 15678210? Soln: 6 Subquestion: What is the thousands digit of 343128? Soln: 3 Subquestion: What is the tens digit of 361706? Soln: 0 Subquestion: What is the ten thousands digit of 18044130? Soln: 4 Subquestion: What is the millions digit of 2591324? Soln: 2 Subquestion: What is the tens digit of 7550474? Soln: 7 Subquestion: What is the hundreds digit of 609367? Soln: 3 Subquestion: What is the ten millions digit of 2131281852? Soln: 3 Subquestion: What is the hundreds digit of 1805? Soln: 8 Subquestion: What is the ten millions digit of 1508160247? Soln: 0 Subquestion: What is the hundred thousands digit of 29659467? Soln: 6 Subquestion: What is the millions digit of 17903503? Soln: 7 Subquestion: What is the ten millions digit of 39102814? Soln: 3 Subquestion: What is the hundreds digit of 8731522? Soln: 5 Subquesti
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numbers: is factor ------------------ Given: Is 3864829287 a multiple of 60? Final Answer: False Given: Is 180334 a multiple of 593? Final Answer: False Given: Is 193 a multiple of 6? Final Answer: False Given: Is 126350 a multiple of 19? Final Answer: True Given: Is 38859 a multiple of 69? Final Answer: False Given: Is 4 a factor of 29253292? Final Answer: True Given: Does 446 divide 2602209? Final Answer: False Given: Is 10 a factor of 4649314? Final Answer: False Given: Is 164 a factor of 13492419? Final Answer: False Given: Does 51 divide 536469? Final Answer: True Given: Is 220197 a multiple of 77? Final Answer: False Given: Is 6911 a multiple of 46? Final Answer: False Given: Does 10 divide 258926630? Final Answer: True Given: Does 7 divide 392? Final Answer: True Given: Does 6 divide 911857812? Final Answer: True Given: Does 115 divide 45820140? Final Answer: True Given: Is 5418 a multiple of 42? Final Answer: True Given: Is 257 a factor of 9315611? Final Answer: False Given: Is 1645875 a multiple of 19? Final Answer: True Given: Does 123 divide 1842655866? Final Answer: True Given: Is 2627 a multiple of 66? Final Answer: False Given: Is 27 a factor of 5956358? Final Answer: False Given: Is 12896 a multiple of 22? Final Answer: False Given: Does 6 divide 2184? Final Answer: True Given: Does 17 divide 650? Final Answer: False Given: Is 434152 a multiple of 18? Final Answer: False Given: Does 5 divide 27846? Final Answer: False Given: Is 268 a multiple of 62? Final Answer: False Given: Is 115 a factor of 2160? Final Answer: False Given: Is 3696 a multiple of 22? Final Answer: True Given: Is 64 a factor of 115712? Final Answer: True Given: Is 435 a factor of 333749674? Final Answer: False Given: Is 2968 a multiple of 42? Final Answer: False Given: Is 784811790 a multiple of 90? Final Answer: True Given: Is 13 a factor of 18536039? Final Answer: False Given: Is 11 a factor of 487? Final Answer: False Given: Does 23 divide 16403? Final Answer: False Given: Is 6345
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probability: swr p level set ---------------------------- Q: Calculate prob of picking 1 s and 2 z when three letters picked without replacement from {s: 1, z: 19}. Result: 3/20 Q: Three letters picked without replacement from {u: 6, c: 1, p: 4}. Give prob of picking 1 p, 1 c, and 1 u. Result: 8/55 Q: Calculate prob of picking 1 y, 1 m, and 1 k when three letters picked without replacement from mkymymymmmmmmymyymyy. Result: 22/285 Q: What is prob of picking 1 e, 1 m, and 1 a when three letters picked without replacement from mvmeeeavemeevaeaamm? Result: 140/969 Q: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {y: 4, j: 4, r: 1, t: 1, w: 3, m: 2}. Result: 2/105 Q: What is prob of picking 2 q when two letters picked without replacement from qqnvdvqqq? Result: 5/18 Q: Four letters picked without replacement from jgjjgdygjggjjggyyyjj. What is prob of picking 3 j and 1 d? Result: 56/4845 Q: Three letters picked without replacement from {o: 4, g: 1, k: 4, y: 1, a: 2, i: 3}. Give prob of picking 1 a and 2 i. Result: 6/455 Q: Four letters picked without replacement from {x: 1, v: 2, g: 2, a: 2, c: 4, i: 3}. What is prob of picking 1 x, 2 a, and 1 i? Result: 3/1001 Q: Calculate prob of picking 3 m when three letters picked without replacement from {r: 1, a: 2, m: 2, j: 6}. Result: 0 Q: Three letters picked without replacement from {e: 1, l: 3}. What is prob of picking 3 l? Result: 1/4 Q: Three letters picked without replacement from {t: 1, c: 2, a: 1, y: 1, f: 1, u: 2}. What is prob of picking 1 a, 1 y, and 1 f? Result: 1/56 Q: What is prob of picking 2 j when two letters picked without replacement from kkjhkhbkjbhk? Result: 1/66 Q: Calculate prob of picking 3 g when three letters picked without replacement from {o: 3, g: 4}. Result: 4/35 Q: Two letters picked without replacement from {f: 1, g: 1, o: 1, q: 2, e: 1, d: 2}. Give prob of picking 1 f and 1 d. Result: 1/14 Q: Calculate prob of picking 1 w and 1 f when two letters picked wi
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numbers: place value -------------------- Q: What is the billions digit of 1452052032? Ans: 1 Q: What is the hundreds digit of 4519737? Ans: 7 Q: What is the tens digit of 5730? Ans: 3 Q: What is the hundreds digit of 1908506740? Ans: 7 Q: What is the ten millions digit of 229563293? Ans: 2 Q: What is the ten millions digit of 160625310? Ans: 6 Q: What is the tens digit of 12448? Ans: 4 Q: What is the thousands digit of 371737438? Ans: 7 Q: What is the thousands digit of 783417? Ans: 3 Q: What is the thousands digit of 881421463? Ans: 1 Q: What is the thousands digit of 29095615? Ans: 5 Q: What is the units digit of 291542? Ans: 2 Q: What is the millions digit of 3585249776? Ans: 5 Q: What is the hundred millions digit of 202211684? Ans: 2 Q: What is the hundred thousands digit of 349806? Ans: 3 Q: What is the units digit of 9958? Ans: 8 Q: What is the hundreds digit of 30607? Ans: 6 Q: What is the hundreds digit of 256686? Ans: 6 Q: What is the hundreds digit of 42541? Ans: 5 Q: What is the hundreds digit of 619? Ans: 6 Q: What is the units digit of 5616? Ans: 6 Q: What is the thousands digit of 6358015742? Ans: 5 Q: What is the ten thousands digit of 4050181? Ans: 5 Q: What is the billions digit of 1278176360? Ans: 1 Q: What is the millions digit of 6953419? Ans: 6 Q: What is the hundreds digit of 4882130? Ans: 1 Q: What is the units digit of 80345? Ans: 5 Q: What is the thousands digit of 673478? Ans: 3 Q: What is the hundreds digit of 47450? Ans: 4 Q: What is the hundred thousands digit of 1402635? Ans: 4 Q: What is the ten millions digit of 118510115? Ans: 1 Q: What is the tens digit of 97085? Ans: 8 Q: What is the tens digit of 997225304? Ans: 0 Q: What is the hundred thousands digit of 1238037843? Ans: 0 Q: What is the hundreds digit of 1427? Ans: 4 Q: What is the hundred thousands digit of 2023109? Ans: 0 Q: What is the tens digit of 1563? Ans: 6 Q: What is the units digit of 9531? Ans: 1 Q: What is the tens digit of 27398704? Ans: 0 Q: What is the hundred t
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measurement: time ----------------- Problem: How many minutes are there between 1:29 AM and 12:57 PM? Steps: 688 Problem: What is 421 minutes before 8:30 PM? Steps: 1:29 PM Problem: How many minutes are there between 8:21 PM and 2:16 AM? Steps: 355 Problem: How many minutes are there between 2:05 AM and 7:01 AM? Steps: 296 Problem: What is 423 minutes before 9:34 AM? Steps: 2:31 AM Problem: How many minutes are there between 3:51 PM and 12:07 AM? Steps: 496 Problem: How many minutes are there between 11:06 AM and 8:57 PM? Steps: 591 Problem: How many minutes are there between 2:37 PM and 7:20 PM? Steps: 283 Problem: How many minutes are there between 5:09 PM and 10:51 PM? Steps: 342 Problem: What is 53 minutes after 3:15 PM? Steps: 4:08 PM Problem: How many minutes are there between 5:01 PM and 5:49 PM? Steps: 48 Problem: How many minutes are there between 1:38 AM and 9:59 AM? Steps: 501 Problem: How many minutes are there between 9:48 AM and 2:14 PM? Steps: 266 Problem: What is 520 minutes after 2:28 PM? Steps: 11:08 PM Problem: What is 207 minutes before 11:49 AM? Steps: 8:22 AM Problem: What is 44 minutes after 5:03 AM? Steps: 5:47 AM Problem: How many minutes are there between 9:00 AM and 4:36 PM? Steps: 456 Problem: How many minutes are there between 9:38 AM and 2:42 PM? Steps: 304 Problem: How many minutes are there between 3:52 PM and 4:55 PM? Steps: 63 Problem: How many minutes are there between 9:19 PM and 8:41 AM? Steps: 682 Problem: How many minutes are there between 9:38 PM and 5:16 AM? Steps: 458 Problem: How many minutes are there between 7:55 PM and 5:50 AM? Steps: 595 Problem: How many minutes are there between 5:09 PM and 10:30 PM? Steps: 321 Problem: What is 546 minutes before 4:50 AM? Steps: 7:44 PM Problem: How many minutes are there between 9:37 AM and 9:47 AM? Steps: 10 Problem: How many minutes are there between 4:11 AM and 12:05 PM? Steps: 474 Problem: How many minutes are there between 2:59 AM and 8:41 AM? Steps: 342 Problem: How many minute
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arithmetic: nearest integer root -------------------------------- Given: What is the square root of 7562256 to the nearest integer? Hence: 2750 Given: What is the third root of 927002 to the nearest integer? Hence: 98 Given: What is 191578116 to the power of 1/2, to the nearest integer? Hence: 13841 Given: What is 1049771 to the power of 1/2, to the nearest integer? Hence: 1025 Given: What is the square root of 23916 to the nearest integer? Hence: 155 Given: What is the sixth root of 335722 to the nearest integer? Hence: 8 Given: What is 2652024 to the power of 1/2, to the nearest integer? Hence: 1629 Given: What is 8382322 to the power of 1/2, to the nearest integer? Hence: 2895 Given: What is the cube root of 721309222 to the nearest integer? Hence: 897 Given: What is the cube root of 2397280012 to the nearest integer? Hence: 1338 Given: What is 852912171 to the power of 1/3, to the nearest integer? Hence: 948 Given: What is the square root of 12875733 to the nearest integer? Hence: 3588 Given: What is 73350 to the power of 1/3, to the nearest integer? Hence: 42 Given: What is 851337296 to the power of 1/3, to the nearest integer? Hence: 948 Given: What is the sixth root of 14119313 to the nearest integer? Hence: 16 Given: What is the cube root of 954 to the nearest integer? Hence: 10 Given: What is 543 to the power of 1/3, to the nearest integer? Hence: 8 Given: What is the cube root of 2309595382 to the nearest integer? Hence: 1322 Given: What is the seventh root of 15672 to the nearest integer? Hence: 4 Given: What is the cube root of 208808144 to the nearest integer? Hence: 593 Given: What is 284628 to the power of 1/2, to the nearest integer? Hence: 534 Given: What is the tenth root of 175 to the nearest integer? Hence: 2 Given: What is the square root of 23470 to the nearest integer? Hence: 153 Given: What is 4589 to the power of 1/8, to the nearest integer? Hence: 3 Given: What is 20701601 to the power of 1/5, to the nearest integer? Hence: 29 Given: What i
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numbers: gcd ------------ Subject: What is the greatest common factor of 78 and 379860? Gives: 78 Subject: What is the greatest common divisor of 6865274 and 13? Gives: 13 Subject: Calculate the greatest common divisor of 525 and 12938877. Gives: 21 Subject: What is the highest common divisor of 1475877 and 205? Gives: 41 Subject: Calculate the greatest common divisor of 106 and 36. Gives: 2 Subject: What is the greatest common factor of 10 and 25920? Gives: 10 Subject: Calculate the highest common factor of 42 and 2171022. Gives: 42 Subject: Calculate the highest common divisor of 337 and 38451700. Gives: 337 Subject: What is the highest common factor of 50835 and 3435? Gives: 15 Subject: What is the greatest common factor of 710 and 142? Gives: 142 Subject: What is the highest common factor of 53561 and 399513? Gives: 19 Subject: Calculate the greatest common divisor of 1176 and 11074. Gives: 98 Subject: What is the highest common divisor of 24 and 81022374? Gives: 6 Subject: Calculate the highest common divisor of 162 and 69937587. Gives: 81 Subject: Calculate the highest common divisor of 4356 and 7177599. Gives: 1089 Subject: What is the greatest common divisor of 8096 and 16566176? Gives: 352 Subject: What is the highest common factor of 226688 and 15312? Gives: 176 Subject: What is the highest common divisor of 1675 and 30450? Gives: 25 Subject: What is the highest common divisor of 2758 and 83034? Gives: 14 Subject: Calculate the highest common factor of 5400825 and 135. Gives: 15 Subject: What is the highest common divisor of 109275 and 600? Gives: 75 Subject: Calculate the greatest common factor of 78 and 1274. Gives: 26 Subject: What is the highest common divisor of 6584728 and 254374? Gives: 1318 Subject: Calculate the greatest common divisor of 38907045 and 1075. Gives: 215 Subject: What is the greatest common divisor of 2416250 and 256250? Gives: 1250 Subject: Calculate the greatest common factor of 287 and 64043. Gives: 7 Subject: Calculate the greate
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numbers: gcd ------------ Given: What is the greatest common factor of 1014 and 6? Explanation: 6 Given: What is the highest common divisor of 15 and 48? Explanation: 3 Given: What is the greatest common factor of 432 and 28464? Explanation: 48 Given: Calculate the greatest common factor of 550652 and 17719. Explanation: 1363 Given: Calculate the highest common factor of 5 and 11. Explanation: 1 Given: What is the highest common factor of 415 and 16351? Explanation: 83 Given: What is the highest common factor of 161844681 and 2661? Explanation: 2661 Given: What is the greatest common factor of 3582 and 12? Explanation: 6 Given: Calculate the greatest common divisor of 114673830 and 267. Explanation: 267 Given: Calculate the greatest common factor of 25262220 and 1860. Explanation: 60 Given: Calculate the highest common divisor of 5025 and 975. Explanation: 75 Given: What is the greatest common factor of 90 and 50? Explanation: 10 Given: What is the greatest common divisor of 107961132 and 1548? Explanation: 516 Given: What is the highest common divisor of 145759339 and 3047? Explanation: 3047 Given: Calculate the greatest common factor of 96408735 and 120. Explanation: 15 Given: What is the highest common factor of 33 and 495? Explanation: 33 Given: Calculate the greatest common divisor of 106 and 1960735. Explanation: 53 Given: Calculate the greatest common divisor of 529130 and 350. Explanation: 70 Given: Calculate the greatest common divisor of 565 and 17531611. Explanation: 113 Given: What is the greatest common divisor of 52 and 1370525? Explanation: 13 Given: What is the highest common divisor of 21474345 and 1455? Explanation: 1455 Given: Calculate the highest common divisor of 158032 and 34748. Explanation: 476 Given: What is the highest common factor of 76 and 2242? Explanation: 38 Given: What is the highest common factor of 355330168 and 8? Explanation: 8 Given: What is the greatest common factor of 2975763 and 354039? Explanation: 483 Given: What is the h
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measurement: conversion ----------------------- Problem #: What is 106971.8cm in meters? Sol: 1069.718 Problem #: How many millilitres are there in 3/8 of a litre? Sol: 375 Problem #: What is 27/5 of a day in minutes? Sol: 7776 Problem #: What is 2/75 of a hour in milliseconds? Sol: 96000 Problem #: Convert 579.6547g to micrograms. Sol: 579654700 Problem #: What is 3/8 of a kilometer in meters? Sol: 375 Problem #: What is 4.943267 decades in centuries? Sol: 0.4943267 Problem #: How many litres are there in 57.12568 millilitres? Sol: 0.05712568 Problem #: What is 33682.62 millilitres in litres? Sol: 33.68262 Problem #: How many millimeters are there in seven eighths of a meter? Sol: 875 Problem #: How many minutes are there in four thirds of a hour? Sol: 80 Problem #: What is 0.0985 centuries in decades? Sol: 0.985 Problem #: What is 1/10 of a millimeter in micrometers? Sol: 100 Problem #: How many years are there in 1629.6939 months? Sol: 135.807825 Problem #: How many months are there in 1/24 of a decade? Sol: 5 Problem #: How many seconds are there in 3/5 of a hour? Sol: 2160 Problem #: What is 159.9804 nanoseconds in seconds? Sol: 0.0000001599804 Problem #: What is 0.7804155 centimeters in kilometers? Sol: 0.000007804155 Problem #: How many grams are there in 45/4 of a kilogram? Sol: 11250 Problem #: How many millilitres are there in 3/8 of a litre? Sol: 375 Problem #: How many months are there in fifty-five quarters of a year? Sol: 165 Problem #: What is 5/8 of a litre in millilitres? Sol: 625 Problem #: What is 3/5 of a kilogram in grams? Sol: 600 Problem #: How many decades are there in 2104.719 millennia? Sol: 210471.9 Problem #: What is 3/5 of a kilometer in centimeters? Sol: 60000 Problem #: What is 1.996902 decades in years? Sol: 19.96902 Problem #: What is three fifths of a meter in millimeters? Sol: 600 Problem #: How many micrograms are there in 3/40 of a milligram? Sol: 75 Problem #: Convert 8037.531mg to kilograms. Sol: 0.008037531 Problem #: What is
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numbers: is factor ------------------ Subject: Is 34 a factor of 37036? Outcome: False Subject: Does 42 divide 58086? Outcome: True Subject: Is 23210 a multiple of 95? Outcome: False Subject: Is 870563841 a multiple of 368? Outcome: False Subject: Does 48 divide 106050113? Outcome: False Subject: Is 591599869 a multiple of 281? Outcome: False Subject: Does 18 divide 213301? Outcome: False Subject: Does 8 divide 224? Outcome: True Subject: Does 10 divide 639120? Outcome: True Subject: Is 12 a factor of 1308? Outcome: True Subject: Does 207 divide 94392? Outcome: True Subject: Is 1976 a multiple of 5? Outcome: False Subject: Is 911 a factor of 25517015? Outcome: False Subject: Is 78 a factor of 44691660? Outcome: True Subject: Does 17 divide 77? Outcome: False Subject: Is 1302 a multiple of 10? Outcome: False Subject: Does 124 divide 13888? Outcome: True Subject: Does 139 divide 12506306? Outcome: False Subject: Is 858 a factor of 3934059? Outcome: False Subject: Is 23 a factor of 502? Outcome: False Subject: Does 27 divide 1458? Outcome: True Subject: Does 16 divide 232832? Outcome: True Subject: Is 1013058 a multiple of 207? Outcome: True Subject: Is 14 a factor of 28? Outcome: True Subject: Does 5 divide 59557? Outcome: False Subject: Is 1118174256 a multiple of 12? Outcome: True Subject: Is 20151460 a multiple of 9? Outcome: False Subject: Is 5 a factor of 3895? Outcome: True Subject: Does 143 divide 95388? Outcome: False Subject: Does 1031 divide 93305909? Outcome: False Subject: Is 117 a factor of 2925? Outcome: True Subject: Is 38 a factor of 874? Outcome: True Subject: Does 12 divide 55601? Outcome: False Subject: Does 63 divide 8379? Outcome: True Subject: Is 11572216 a multiple of 361? Outcome: True Subject: Is 7461764 a multiple of 61? Outcome: True Subject: Is 12684949 a multiple of 555? Outcome: False Subject: Does 157 divide 2421714? Outcome: False Subject: Is 11 a factor of 1760? Outcome: True Subject: Does 18 divide 16344? Outcome: True Subject: Is 340
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numbers: place value -------------------- Let us solve: What is the tens digit of 14767? Output: 6 Let us solve: What is the millions digit of 410700533? Output: 0 Let us solve: What is the hundreds digit of 96046? Output: 0 Let us solve: What is the units digit of 2063888? Output: 8 Let us solve: What is the hundred millions digit of 3634227574? Output: 6 Let us solve: What is the units digit of 369? Output: 9 Let us solve: What is the tens digit of 15698087? Output: 8 Let us solve: What is the thousands digit of 1535? Output: 1 Let us solve: What is the hundreds digit of 165786? Output: 7 Let us solve: What is the ten thousands digit of 360785? Output: 6 Let us solve: What is the hundreds digit of 14317? Output: 3 Let us solve: What is the ten thousands digit of 4246433? Output: 4 Let us solve: What is the hundred thousands digit of 591211995? Output: 2 Let us solve: What is the hundreds digit of 29818? Output: 8 Let us solve: What is the billions digit of 3367113162? Output: 3 Let us solve: What is the units digit of 943? Output: 3 Let us solve: What is the hundreds digit of 5561? Output: 5 Let us solve: What is the units digit of 31259? Output: 9 Let us solve: What is the hundreds digit of 13386? Output: 3 Let us solve: What is the hundreds digit of 138844211? Output: 2 Let us solve: What is the ten millions digit of 15439179? Output: 1 Let us solve: What is the hundreds digit of 443549? Output: 5 Let us solve: What is the tens digit of 18712? Output: 1 Let us solve: What is the tens digit of 4022? Output: 2 Let us solve: What is the ten thousands digit of 125669? Output: 2 Let us solve: What is the units digit of 407? Output: 7 Let us solve: What is the ten millions digit of 3126661834? Output: 2 Let us solve: What is the tens digit of 89497? Output: 9 Let us solve: What is the tens digit of 2425550? Output: 5 Let us solve: What is the thousands digit of 39891864? Output: 1 Let us solve: What is the hundreds digit of 5580? Output: 5 Let us solve: What is the te
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numbers: div remainder ---------------------- Issue: Calculate the remainder when 841 is divided by 588. Calculation: 253 Issue: Calculate the remainder when 2273 is divided by 65. Calculation: 63 Issue: What is the remainder when 359 is divided by 9? Calculation: 8 Issue: Calculate the remainder when 159 is divided by 21. Calculation: 12 Issue: What is the remainder when 5822 is divided by 724? Calculation: 30 Issue: Calculate the remainder when 250 is divided by 92. Calculation: 66 Issue: What is the remainder when 22897853 is divided by 213? Calculation: 140 Issue: Calculate the remainder when 85 is divided by 29. Calculation: 27 Issue: Calculate the remainder when 20448 is divided by 6802. Calculation: 42 Issue: Calculate the remainder when 8137096 is divided by 99. Calculation: 88 Issue: Calculate the remainder when 16687204 is divided by 6185. Calculation: 74 Issue: What is the remainder when 2547691 is divided by 7475? Calculation: 6191 Issue: Calculate the remainder when 519 is divided by 134. Calculation: 117 Issue: Calculate the remainder when 1526 is divided by 383. Calculation: 377 Issue: What is the remainder when 52 is divided by 9? Calculation: 7 Issue: Calculate the remainder when 3849 is divided by 7. Calculation: 6 Issue: Calculate the remainder when 808962 is divided by 20. Calculation: 2 Issue: Calculate the remainder when 359 is divided by 327. Calculation: 32 Issue: What is the remainder when 239199 is divided by 59528? Calculation: 1087 Issue: What is the remainder when 3678 is divided by 20? Calculation: 18 Issue: What is the remainder when 13314 is divided by 42? Calculation: 0 Issue: What is the remainder when 12510 is divided by 129? Calculation: 126 Issue: Calculate the remainder when 2123 is divided by 142. Calculation: 135 Issue: What is the remainder when 9790 is divided by 175? Calculation: 165 Issue: What is the remainder when 213563 is divided by 106749? Calculation: 65 Issue: What is the remainder when 32 is divided by 10? Calculat
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measurement: time ----------------- Prompt: How many minutes are there between 7:42 AM and 6:46 PM? Sol: 664 Prompt: How many minutes are there between 6:21 PM and 6:08 AM? Sol: 707 Prompt: How many minutes are there between 3:09 PM and 9:03 PM? Sol: 354 Prompt: What is 345 minutes after 8:57 AM? Sol: 2:42 PM Prompt: What is 38 minutes after 9:32 AM? Sol: 10:10 AM Prompt: How many minutes are there between 8:05 PM and 2:44 AM? Sol: 399 Prompt: How many minutes are there between 7:29 AM and 4:21 PM? Sol: 532 Prompt: How many minutes are there between 2:08 PM and 9:08 PM? Sol: 420 Prompt: What is 59 minutes after 7:27 AM? Sol: 8:26 AM Prompt: How many minutes are there between 6:09 AM and 9:40 AM? Sol: 211 Prompt: What is 101 minutes before 12:55 AM? Sol: 11:14 PM Prompt: How many minutes are there between 8:45 PM and 4:04 AM? Sol: 439 Prompt: What is 502 minutes before 7:22 PM? Sol: 11:00 AM Prompt: How many minutes are there between 2:32 PM and 10:08 PM? Sol: 456 Prompt: What is 672 minutes before 1:19 PM? Sol: 2:07 AM Prompt: How many minutes are there between 10:21 AM and 11:20 AM? Sol: 59 Prompt: How many minutes are there between 4:14 AM and 8:09 AM? Sol: 235 Prompt: How many minutes are there between 12:01 PM and 11:31 PM? Sol: 690 Prompt: How many minutes are there between 1:58 PM and 5:27 PM? Sol: 209 Prompt: What is 492 minutes before 9:30 PM? Sol: 1:18 PM Prompt: What is 697 minutes after 12:45 PM? Sol: 12:22 AM Prompt: How many minutes are there between 5:20 AM and 3:15 PM? Sol: 595 Prompt: What is 535 minutes before 7:48 AM? Sol: 10:53 PM Prompt: What is 553 minutes before 6:54 PM? Sol: 9:41 AM Prompt: How many minutes are there between 8:20 PM and 2:33 AM? Sol: 373 Prompt: What is 669 minutes after 10:38 AM? Sol: 9:47 PM Prompt: How many minutes are there between 10:10 PM and 9:32 AM? Sol: 682 Prompt: How many minutes are there between 4:18 PM and 7:33 PM? Sol: 195 Prompt: What is 11 minutes before 10:17 PM? Sol: 10:06 PM Prompt: What is 270 minutes befo
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numbers: is prime ----------------- Given: Is 17957 composite? Math A: False Given: Is 261071 prime? Math A: True Given: Is 238883 a composite number? Math A: False Given: Is 2318018341 composite? Math A: False Given: Is 38113 composite? Math A: False Given: Is 37578076563 a composite number? Math A: True Given: Is 3818321 a prime number? Math A: False Given: Is 14789417141 a composite number? Math A: False Given: Is 2394799189 a composite number? Math A: False Given: Is 2280527 a prime number? Math A: False Given: Is 66133031 a composite number? Math A: False Given: Is 238390939 a composite number? Math A: False Given: Is 50207 a composite number? Math A: False Given: Is 166892899 composite? Math A: True Given: Is 3547 a prime number? Math A: True Given: Is 659 a prime number? Math A: True Given: Is 12886549 a prime number? Math A: False Given: Is 9320219 prime? Math A: False Given: Is 264764915 prime? Math A: False Given: Is 14710849 composite? Math A: False Given: Is 97247 a prime number? Math A: False Given: Is 80743 prime? Math A: False Given: Is 1302885757 a composite number? Math A: False Given: Is 88919 a prime number? Math A: True Given: Is 7166209 prime? Math A: True Given: Is 13046993 composite? Math A: True Given: Is 29221 a prime number? Math A: True Given: Is 2512209103 composite? Math A: False Given: Is 561395995 a composite number? Math A: True Given: Is 19643 a composite number? Math A: True Given: Is 630071341 a prime number? Math A: True Given: Is 5276261 a prime number? Math A: True Given: Is 5095139 a composite number? Math A: True Given: Is 8598307 a prime number? Math A: True Given: Is 5597 a prime number? Math A: False Given: Is 3391150643 prime? Math A: True Given: Is 1822593 a prime number? Math A: False Given: Is 24733 prime? Math A: True Given: Is 5269259 a prime number? Math A: True Given: Is 576301 a composite number? Math A: True Given: Is 913532413 a prime number? Math A: True Given: Is 56761 a composite number? Math A: True Given: Is
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numbers: div remainder ---------------------- Item: Calculate the remainder when 4265 is divided by 693. Ans: 107 Item: What is the remainder when 515 is divided by 32? Ans: 3 Item: Calculate the remainder when 1055 is divided by 20. Ans: 15 Item: Calculate the remainder when 4185 is divided by 1036. Ans: 41 Item: What is the remainder when 1521787 is divided by 152178? Ans: 7 Item: What is the remainder when 3647610 is divided by 672? Ans: 666 Item: Calculate the remainder when 113 is divided by 12. Ans: 5 Item: What is the remainder when 1175 is divided by 252? Ans: 167 Item: Calculate the remainder when 1828 is divided by 603. Ans: 19 Item: What is the remainder when 199478 is divided by 66492? Ans: 2 Item: Calculate the remainder when 1075 is divided by 12. Ans: 7 Item: Calculate the remainder when 887 is divided by 28. Ans: 19 Item: Calculate the remainder when 238 is divided by 40. Ans: 38 Item: What is the remainder when 25614611 is divided by 2006? Ans: 2003 Item: What is the remainder when 23778 is divided by 5121? Ans: 3294 Item: Calculate the remainder when 187865 is divided by 3. Ans: 2 Item: What is the remainder when 41607 is divided by 57? Ans: 54 Item: What is the remainder when 133052 is divided by 22172? Ans: 20 Item: Calculate the remainder when 157 is divided by 73. Ans: 11 Item: Calculate the remainder when 21545 is divided by 70. Ans: 55 Item: Calculate the remainder when 2504 is divided by 94. Ans: 60 Item: What is the remainder when 38400 is divided by 211? Ans: 209 Item: What is the remainder when 3578 is divided by 21? Ans: 8 Item: Calculate the remainder when 32180 is divided by 566. Ans: 484 Item: Calculate the remainder when 7129 is divided by 3509. Ans: 111 Item: What is the remainder when 53346 is divided by 57? Ans: 51 Item: Calculate the remainder when 186 is divided by 57. Ans: 15 Item: What is the remainder when 290344 is divided by 5? Ans: 4 Item: Calculate the remainder when 3553 is divided by 453. Ans: 382 Item: What is the rema
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numbers: is prime ----------------- Given: Is 76543814663 composite? Output: True Given: Is 10581 prime? Output: False Given: Is 290512289939 prime? Output: False Given: Is 730741091 a composite number? Output: False Given: Is 3534073 prime? Output: False Given: Is 64901 a composite number? Output: False Given: Is 78888701579 prime? Output: True Given: Is 1403009 prime? Output: True Given: Is 3181197101 prime? Output: False Given: Is 8315 prime? Output: False Given: Is 8181049 composite? Output: False Given: Is 293786447 a composite number? Output: False Given: Is 4835427 composite? Output: True Given: Is 1437121138 a prime number? Output: False Given: Is 18287879 a prime number? Output: False Given: Is 33817 a composite number? Output: True Given: Is 15826455409 a composite number? Output: False Given: Is 151160387 prime? Output: False Given: Is 808581 prime? Output: False Given: Is 200475833053 a composite number? Output: False Given: Is 9047 a composite number? Output: True Given: Is 2203 a composite number? Output: False Given: Is 196747 a composite number? Output: True Given: Is 2835767 composite? Output: True Given: Is 44351 a prime number? Output: True Given: Is 12237661 composite? Output: False Given: Is 3687935518 a composite number? Output: True Given: Is 5300673061 prime? Output: True Given: Is 4169941 a prime number? Output: True Given: Is 106096147693 a composite number? Output: False Given: Is 352277 a composite number? Output: True Given: Is 4582927 prime? Output: True Given: Is 8856556717 a composite number? Output: False Given: Is 79811207 a prime number? Output: False Given: Is 23741 composite? Output: False Given: Is 118653973 a prime number? Output: True Given: Is 1319839 prime? Output: True Given: Is 3063667 composite? Output: True Given: Is 55070677 a prime number? Output: True Given: Is 16495 prime? Output: False Given: Is 20660431 prime? Output: False Given: Is 229799 a prime number? Output: True Given: Is 6470061629 prime? Output: False Give
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arithmetic: nearest integer root -------------------------------- Example: What is the ninth root of 4242877437 to the nearest integer? Resolution: 12 Example: What is 16935 to the power of 1/2, to the nearest integer? Resolution: 130 Example: What is 635957 to the power of 1/4, to the nearest integer? Resolution: 28 Example: What is 158660517 to the power of 1/3, to the nearest integer? Resolution: 541 Example: What is 1877924436 to the power of 1/3, to the nearest integer? Resolution: 1234 Example: What is 1864295850 to the power of 1/3, to the nearest integer? Resolution: 1231 Example: What is the square root of 985293 to the nearest integer? Resolution: 993 Example: What is the tenth root of 2620685902 to the nearest integer? Resolution: 9 Example: What is the seventh root of 492148083 to the nearest integer? Resolution: 17 Example: What is the square root of 196378 to the nearest integer? Resolution: 443 Example: What is 33149553 to the power of 1/2, to the nearest integer? Resolution: 5758 Example: What is the cube root of 7438164 to the nearest integer? Resolution: 195 Example: What is the third root of 2613 to the nearest integer? Resolution: 14 Example: What is the third root of 5720208 to the nearest integer? Resolution: 179 Example: What is the tenth root of 11814113 to the nearest integer? Resolution: 5 Example: What is the third root of 1087261370 to the nearest integer? Resolution: 1028 Example: What is 536891 to the power of 1/9, to the nearest integer? Resolution: 4 Example: What is 4785 to the power of 1/9, to the nearest integer? Resolution: 3 Example: What is the third root of 3389875 to the nearest integer? Resolution: 150 Example: What is 177 to the power of 1/3, to the nearest integer? Resolution: 6 Example: What is the square root of 4135 to the nearest integer? Resolution: 64 Example: What is 10764 to the power of 1/3, to the nearest integer? Resolution: 22 Example: What is 12369190 to the power of 1/3, to the nearest integer? Resolution: 231
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numbers: gcd ------------ Let: Calculate the greatest common divisor of 674487 and 2079. Derivation: 297 Let: What is the highest common factor of 20972898 and 90585? Derivation: 1647 Let: Calculate the greatest common factor of 825 and 3024675. Derivation: 75 Let: Calculate the greatest common factor of 1158536459 and 2969. Derivation: 2969 Let: What is the greatest common factor of 69869309 and 83632? Derivation: 5227 Let: Calculate the greatest common divisor of 114 and 11616906. Derivation: 6 Let: What is the greatest common divisor of 2220 and 27270? Derivation: 30 Let: What is the highest common factor of 4888 and 221? Derivation: 13 Let: What is the greatest common divisor of 1098 and 122? Derivation: 122 Let: Calculate the highest common divisor of 3520 and 330. Derivation: 110 Let: Calculate the greatest common divisor of 2822 and 51865538. Derivation: 2822 Let: Calculate the greatest common divisor of 120740 and 500. Derivation: 20 Let: What is the highest common factor of 48 and 4821? Derivation: 3 Let: Calculate the highest common divisor of 181941800 and 50. Derivation: 50 Let: What is the greatest common divisor of 2408 and 27944? Derivation: 56 Let: What is the greatest common divisor of 492480 and 1659555? Derivation: 2565 Let: What is the highest common factor of 131217 and 28841? Derivation: 191 Let: What is the highest common divisor of 25 and 2? Derivation: 1 Let: Calculate the greatest common divisor of 893 and 3431. Derivation: 47 Let: Calculate the greatest common divisor of 50 and 17160. Derivation: 10 Let: Calculate the highest common divisor of 1 and 1537373. Derivation: 1 Let: Calculate the highest common factor of 57 and 51680171. Derivation: 19 Let: What is the highest common divisor of 180763 and 55? Derivation: 11 Let: Calculate the greatest common factor of 48 and 12336. Derivation: 48 Let: Calculate the greatest common factor of 465735 and 4575. Derivation: 915 Let: What is the greatest common divisor of 299 and 92? Derivation: 23 Le
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arithmetic: nearest integer root -------------------------------- Statement: What is 13622 to the power of 1/6, to the nearest integer? Outcome: 5 Statement: What is 1952 to the power of 1/3, to the nearest integer? Outcome: 12 Statement: What is the cube root of 1171746 to the nearest integer? Outcome: 105 Statement: What is 148375 to the power of 1/3, to the nearest integer? Outcome: 53 Statement: What is the fifth root of 17070 to the nearest integer? Outcome: 7 Statement: What is the square root of 71998088 to the nearest integer? Outcome: 8485 Statement: What is 13424 to the power of 1/2, to the nearest integer? Outcome: 116 Statement: What is 49019 to the power of 1/7, to the nearest integer? Outcome: 5 Statement: What is 44219 to the power of 1/10, to the nearest integer? Outcome: 3 Statement: What is 570115 to the power of 1/6, to the nearest integer? Outcome: 9 Statement: What is the square root of 450614 to the nearest integer? Outcome: 671 Statement: What is the cube root of 15644 to the nearest integer? Outcome: 25 Statement: What is the third root of 1130920157 to the nearest integer? Outcome: 1042 Statement: What is 78911 to the power of 1/3, to the nearest integer? Outcome: 43 Statement: What is 1165 to the power of 1/3, to the nearest integer? Outcome: 11 Statement: What is the sixth root of 5107104 to the nearest integer? Outcome: 13 Statement: What is the cube root of 201154 to the nearest integer? Outcome: 59 Statement: What is the square root of 401061051 to the nearest integer? Outcome: 20027 Statement: What is the square root of 50597347 to the nearest integer? Outcome: 7113 Statement: What is the third root of 554 to the nearest integer? Outcome: 8 Statement: What is the cube root of 30083 to the nearest integer? Outcome: 31 Statement: What is the tenth root of 143603412 to the nearest integer? Outcome: 7 Statement: What is the seventh root of 2035271954 to the nearest integer? Outcome: 21 Statement: What is 94576 to the power of 1/8, to the n
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measurement: time ----------------- Qn: What is 623 minutes after 8:09 AM? Conclusion: 6:32 PM Qn: How many minutes are there between 1:53 PM and 12:10 AM? Conclusion: 617 Qn: What is 559 minutes before 12:28 PM? Conclusion: 3:09 AM Qn: What is 264 minutes after 6:30 AM? Conclusion: 10:54 AM Qn: What is 709 minutes after 12:45 AM? Conclusion: 12:34 PM Qn: How many minutes are there between 8:31 PM and 7:15 AM? Conclusion: 644 Qn: How many minutes are there between 10:50 AM and 6:28 PM? Conclusion: 458 Qn: How many minutes are there between 1:49 PM and 3:39 PM? Conclusion: 110 Qn: What is 176 minutes before 10:42 AM? Conclusion: 7:46 AM Qn: What is 424 minutes after 11:21 AM? Conclusion: 6:25 PM Qn: What is 386 minutes after 5:17 AM? Conclusion: 11:43 AM Qn: What is 36 minutes after 9:44 AM? Conclusion: 10:20 AM Qn: What is 152 minutes before 4:12 AM? Conclusion: 1:40 AM Qn: What is 702 minutes after 2:42 PM? Conclusion: 2:24 AM Qn: What is 646 minutes before 1:48 PM? Conclusion: 3:02 AM Qn: What is 63 minutes after 4:23 PM? Conclusion: 5:26 PM Qn: What is 107 minutes after 6:52 PM? Conclusion: 8:39 PM Qn: What is 63 minutes before 9:18 PM? Conclusion: 8:15 PM Qn: How many minutes are there between 2:16 PM and 5:45 PM? Conclusion: 209 Qn: What is 508 minutes after 4:20 AM? Conclusion: 12:48 PM Qn: How many minutes are there between 8:05 PM and 9:14 PM? Conclusion: 69 Qn: How many minutes are there between 2:20 AM and 4:07 AM? Conclusion: 107 Qn: How many minutes are there between 3:58 PM and 7:15 PM? Conclusion: 197 Qn: How many minutes are there between 6:20 AM and 8:52 AM? Conclusion: 152 Qn: How many minutes are there between 2:23 PM and 5:19 PM? Conclusion: 176 Qn: What is 655 minutes before 10:20 AM? Conclusion: 11:25 PM Qn: What is 467 minutes after 9:47 AM? Conclusion: 5:34 PM Qn: How many minutes are there between 2:54 PM and 5:27 PM? Conclusion: 153 Qn: What is 706 minutes after 8:59 AM? Conclusion: 8:45 PM Qn: How many minutes are there between 7:54 AM and
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measurement: conversion ----------------------- Problem: What is 4.826235 months in millennia? Therefore: 0.00040218625 Problem: What is six fifths of a decade in months? Therefore: 144 Problem: What is seven halves of a litre in millilitres? Therefore: 3500 Problem: What is 1/10 of a tonne in grams? Therefore: 100000 Problem: What is 3/5 of a week in minutes? Therefore: 6048 Problem: How many seconds are there in 7.966576us? Therefore: 0.000007966576 Problem: How many micrometers are there in 45/2 of a millimeter? Therefore: 22500 Problem: What is twenty-seven quarters of a milligram in micrograms? Therefore: 6750 Problem: What is eleven halves of a millennium in months? Therefore: 66000 Problem: What is 1/18 of a day in minutes? Therefore: 80 Problem: How many millilitres are there in twenty-one halves of a litre? Therefore: 10500 Problem: What is 21/2 of a kilometer in meters? Therefore: 10500 Problem: How many micrometers are there in 9/10 of a millimeter? Therefore: 900 Problem: What is one fifth of a minute in milliseconds? Therefore: 12000 Problem: What is 11/2 of a millennium in months? Therefore: 66000 Problem: Convert 6408591.21s to weeks. Therefore: 10.596215625 Problem: How many micrometers are there in twenty-one eighths of a millimeter? Therefore: 2625 Problem: What is 769691.5ms in nanoseconds? Therefore: 769691500000 Problem: What is 0.1173309 millilitres in litres? Therefore: 0.0001173309 Problem: Convert 366.8788km to nanometers. Therefore: 366878800000000 Problem: How many millilitres are there in 1/4 of a litre? Therefore: 250 Problem: How many seconds are there in 3/25 of a week? Therefore: 72576 Problem: How many seconds are there in 2/27 of a day? Therefore: 6400 Problem: Convert 85.82073 decades to millennia. Therefore: 0.8582073 Problem: How many grams are there in 7/4 of a kilogram? Therefore: 1750 Problem: How many micrograms are there in 1/10 of a milligram? Therefore: 100 Problem: Convert 2654.758 years to centuries. Therefore: 26.54758
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measurement: conversion ----------------------- Given: Convert 1.620826ng to tonnes. Explanation: 0.000000000000001620826 Given: What is 25.48059 kilograms in milligrams? Explanation: 25480590 Given: How many months are there in one quarter of a millennium? Explanation: 3000 Given: What is 1/10 of a kilometer in meters? Explanation: 100 Given: What is twenty-nine halves of a decade in months? Explanation: 1740 Given: How many nanometers are there in thirteen quarters of a micrometer? Explanation: 3250 Given: How many months are there in 10/3 of a century? Explanation: 4000 Given: Convert 6176.491 millennia to years. Explanation: 6176491 Given: How many milliseconds are there in 329.845 microseconds? Explanation: 0.329845 Given: How many millimeters are there in 2386.39 micrometers? Explanation: 2.38639 Given: Convert 8.797219 meters to centimeters. Explanation: 879.7219 Given: Convert 51.04151t to micrograms. Explanation: 51041510000000 Given: How many millilitres are there in 977.7611l? Explanation: 977761.1 Given: Convert 18.4309 weeks to hours. Explanation: 3096.3912 Given: How many decades are there in seventeen halves of a millennium? Explanation: 850 Given: Convert 824.5253t to milligrams. Explanation: 824525300000 Given: What is 947.936ug in tonnes? Explanation: 0.000000000947936 Given: How many millilitres are there in 17/4 of a litre? Explanation: 4250 Given: How many nanograms are there in 549227.4 kilograms? Explanation: 549227400000000000 Given: What is seven quarters of a centimeter in micrometers? Explanation: 17500 Given: How many nanometers are there in 1/20 of a millimeter? Explanation: 50000 Given: How many millilitres are there in 49/5 of a litre? Explanation: 9800 Given: How many millilitres are there in 18236.5 litres? Explanation: 18236500 Given: What is four thirds of a decade in months? Explanation: 160 Given: How many seconds are there in 440976.8 microseconds? Explanation: 0.4409768 Given: How many months are there in 7/6 of a year? Explana
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numbers: div remainder ---------------------- Query: What is the remainder when 2231067 is divided by 62? Math A: 59 Query: What is the remainder when 2155 is divided by 22? Math A: 21 Query: What is the remainder when 90 is divided by 7? Math A: 6 Query: What is the remainder when 20657 is divided by 111? Math A: 11 Query: What is the remainder when 24538 is divided by 1981? Math A: 766 Query: Calculate the remainder when 4179 is divided by 47. Math A: 43 Query: Calculate the remainder when 37979 is divided by 211. Math A: 210 Query: What is the remainder when 40466 is divided by 123? Math A: 122 Query: What is the remainder when 47877 is divided by 15871? Math A: 264 Query: What is the remainder when 53 is divided by 11? Math A: 9 Query: What is the remainder when 35246 is divided by 42? Math A: 8 Query: What is the remainder when 29043552 is divided by 1087? Math A: 1086 Query: Calculate the remainder when 2784 is divided by 63. Math A: 12 Query: What is the remainder when 161967 is divided by 4624? Math A: 127 Query: What is the remainder when 16377 is divided by 818? Math A: 17 Query: What is the remainder when 667712 is divided by 69? Math A: 68 Query: Calculate the remainder when 2407 is divided by 1962. Math A: 445 Query: What is the remainder when 118 is divided by 34? Math A: 16 Query: What is the remainder when 110 is divided by 45? Math A: 20 Query: What is the remainder when 12682 is divided by 614? Math A: 402 Query: Calculate the remainder when 3131 is divided by 165. Math A: 161 Query: Calculate the remainder when 630 is divided by 257. Math A: 116 Query: What is the remainder when 7077 is divided by 60? Math A: 57 Query: Calculate the remainder when 61976 is divided by 385. Math A: 376 Query: What is the remainder when 15723 is divided by 461? Math A: 49 Query: What is the remainder when 2991617 is divided by 1372? Math A: 657 Query: What is the remainder when 39906558 is divided by 589? Math A: 41 Query: Calculate the remainder when 147340 is divid
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measurement: time ----------------- Problem #: What is 520 minutes after 8:15 PM? Key: 4:55 AM Problem #: How many minutes are there between 9:28 PM and 10:20 PM? Key: 52 Problem #: How many minutes are there between 5:51 AM and 11:16 AM? Key: 325 Problem #: How many minutes are there between 9:22 AM and 3:49 PM? Key: 387 Problem #: How many minutes are there between 8:55 PM and 11:41 PM? Key: 166 Problem #: How many minutes are there between 8:36 PM and 4:47 AM? Key: 491 Problem #: How many minutes are there between 4:50 PM and 3:54 AM? Key: 664 Problem #: What is 570 minutes before 11:52 AM? Key: 2:22 AM Problem #: What is 12 minutes before 4:05 AM? Key: 3:53 AM Problem #: How many minutes are there between 1:18 PM and 4:23 PM? Key: 185 Problem #: What is 419 minutes after 8:06 PM? Key: 3:05 AM Problem #: How many minutes are there between 11:53 PM and 1:04 AM? Key: 71 Problem #: How many minutes are there between 3:59 PM and 6:27 PM? Key: 148 Problem #: How many minutes are there between 2:32 AM and 3:10 AM? Key: 38 Problem #: How many minutes are there between 1:23 PM and 5:29 PM? Key: 246 Problem #: How many minutes are there between 1:22 PM and 7:17 PM? Key: 355 Problem #: What is 49 minutes after 12:43 AM? Key: 1:32 AM Problem #: What is 636 minutes before 4:11 AM? Key: 5:35 PM Problem #: What is 703 minutes after 3:07 AM? Key: 2:50 PM Problem #: What is 570 minutes before 11:50 AM? Key: 2:20 AM Problem #: How many minutes are there between 9:15 PM and 9:24 PM? Key: 9 Problem #: How many minutes are there between 12:16 PM and 7:50 PM? Key: 454 Problem #: How many minutes are there between 10:32 AM and 7:49 PM? Key: 557 Problem #: What is 92 minutes after 12:39 PM? Key: 2:11 PM Problem #: How many minutes are there between 11:41 AM and 4:37 PM? Key: 296 Problem #: What is 530 minutes after 1:15 AM? Key: 10:05 AM Problem #: What is 482 minutes before 11:42 PM? Key: 3:40 PM Problem #: What is 128 minutes before 11:04 AM? Key: 8:56 AM Problem #: How many minutes
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probability: swr p level set ---------------------------- Task: Calculate prob of picking 3 h when three letters picked without replacement from {i: 2, h: 7, x: 4}. Eval: 35/286 Task: Calculate prob of picking 3 y when three letters picked without replacement from {e: 7, y: 3}. Eval: 1/120 Task: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from eektzvtzzkteztztettz. Eval: 1/190 Task: What is prob of picking 1 v, 1 b, and 1 n when three letters picked without replacement from vvxaaynvyavvavba? Eval: 3/280 Task: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {p: 1, g: 3, l: 2, q: 1, u: 5}. Eval: 1/33 Task: What is prob of picking 2 r, 1 j, and 1 i when four letters picked without replacement from {z: 2, j: 2, q: 2, i: 2, r: 9}? Eval: 36/595 Task: Four letters picked without replacement from {q: 4, t: 2, a: 2, x: 4}. Give prob of picking 1 a and 3 x. Eval: 8/495 Task: Four letters picked without replacement from vvvvnvvrhhnrrrzqrrvv. What is prob of picking 1 n, 1 q, and 2 h? Eval: 2/4845 Task: Calculate prob of picking 3 d and 1 f when four letters picked without replacement from {d: 5, f: 2, j: 3}. Eval: 2/21 Task: Four letters picked without replacement from {d: 4, c: 10}. Give prob of picking 1 c and 3 d. Eval: 40/1001 Task: Calculate prob of picking 2 a when two letters picked without replacement from ddaaaddddddddddd. Eval: 1/40 Task: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {b: 2, q: 12, d: 1, i: 1, u: 1}. Eval: 3/34 Task: What is prob of picking 1 p and 1 s when two letters picked without replacement from assussaaap? Eval: 4/45 Task: Three letters picked without replacement from {k: 1, q: 6, j: 4}. Give prob of picking 2 j and 1 k. Eval: 2/55 Task: Three letters picked without replacement from vvvr. Give prob of picking 2 v and 1 r. Eval: 3/4 Task: What is prob of picking 1 j and 3 b when four letters picked without replacement from jjjbb
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numbers: place value -------------------- Given: What is the tens digit of 75? Sol: 7 Given: What is the thousands digit of 1419244? Sol: 9 Given: What is the hundred thousands digit of 406847154? Sol: 8 Given: What is the units digit of 15539? Sol: 9 Given: What is the units digit of 863843432? Sol: 2 Given: What is the units digit of 89528018? Sol: 8 Given: What is the units digit of 2457? Sol: 7 Given: What is the units digit of 1019245? Sol: 5 Given: What is the ten millions digit of 4602982966? Sol: 0 Given: What is the ten millions digit of 430506134? Sol: 3 Given: What is the hundred thousands digit of 193699? Sol: 1 Given: What is the tens digit of 167415351? Sol: 5 Given: What is the hundreds digit of 5838100? Sol: 1 Given: What is the thousands digit of 1066625? Sol: 6 Given: What is the units digit of 1834? Sol: 4 Given: What is the millions digit of 7363132? Sol: 7 Given: What is the tens digit of 1252670? Sol: 7 Given: What is the ten thousands digit of 952999261? Sol: 9 Given: What is the units digit of 1306522887? Sol: 7 Given: What is the thousands digit of 33638? Sol: 3 Given: What is the hundred thousands digit of 4376261? Sol: 3 Given: What is the hundred thousands digit of 1731458? Sol: 7 Given: What is the units digit of 5360? Sol: 0 Given: What is the ten thousands digit of 28904? Sol: 2 Given: What is the units digit of 12168685? Sol: 5 Given: What is the units digit of 880? Sol: 0 Given: What is the ten thousands digit of 7511556? Sol: 1 Given: What is the hundred millions digit of 5587799162? Sol: 5 Given: What is the ten millions digit of 1282446321? Sol: 8 Given: What is the hundred thousands digit of 78624109? Sol: 6 Given: What is the hundreds digit of 256919460? Sol: 4 Given: What is the thousands digit of 8065562? Sol: 5 Given: What is the tens digit of 17665? Sol: 6 Given: What is the hundreds digit of 123778? Sol: 7 Given: What is the millions digit of 294531105? Sol: 4 Given: What is the tens digit of 496? Sol: 9 Given: What is the
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measurement: conversion ----------------------- Let us solve: How many centimeters are there in thirty-two fifths of a meter? Finding: 640 Let us solve: How many years are there in seven halves of a decade? Finding: 35 Let us solve: What is 0.1754701 micrometers in kilometers? Finding: 0.0000000001754701 Let us solve: How many micrometers are there in 11/4 of a millimeter? Finding: 2750 Let us solve: How many grams are there in 194694.5 milligrams? Finding: 194.6945 Let us solve: What is seven halves of a millennium in decades? Finding: 350 Let us solve: What is thirteen eighths of a gram in milligrams? Finding: 1625 Let us solve: How many millilitres are there in 29/2 of a litre? Finding: 14500 Let us solve: What is 3/32 of a second in microseconds? Finding: 93750 Let us solve: Convert 28064553.3 minutes to weeks. Finding: 2784.181875 Let us solve: What is 1/20 of a tonne in kilograms? Finding: 50 Let us solve: What is 67329.1 litres in millilitres? Finding: 67329100 Let us solve: How many millimeters are there in one fifth of a centimeter? Finding: 2 Let us solve: What is 6.54308 centuries in months? Finding: 7851.696 Let us solve: What is 180961546.5 microseconds in weeks? Finding: 0.00029920890625 Let us solve: What is 1/4 of a decade in months? Finding: 30 Let us solve: How many millilitres are there in one quarter of a litre? Finding: 250 Let us solve: What is 4/3 of a week in hours? Finding: 224 Let us solve: How many meters are there in 7/8 of a kilometer? Finding: 875 Let us solve: Convert 42000.16 millilitres to litres. Finding: 42.00016 Let us solve: How many tonnes are there in 212777.4 grams? Finding: 0.2127774 Let us solve: How many milliseconds are there in seven sixteenths of a minute? Finding: 26250 Let us solve: How many millilitres are there in 42/5 of a litre? Finding: 8400 Let us solve: Convert 80.59928 decades to centuries. Finding: 8.059928 Let us solve: How many seconds are there in 45932.2 microseconds? Finding: 0.0459322 Let us solve: How m
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numbers: place value -------------------- Ask: What is the hundreds digit of 2821000? Response: 0 Ask: What is the ten thousands digit of 31275? Response: 3 Ask: What is the thousands digit of 3547? Response: 3 Ask: What is the hundreds digit of 362? Response: 3 Ask: What is the thousands digit of 1532744512? Response: 4 Ask: What is the hundreds digit of 4481403? Response: 4 Ask: What is the ten millions digit of 130289663? Response: 3 Ask: What is the thousands digit of 2626057300? Response: 7 Ask: What is the billions digit of 1530691109? Response: 1 Ask: What is the millions digit of 3788221003? Response: 8 Ask: What is the units digit of 513? Response: 3 Ask: What is the thousands digit of 1637? Response: 1 Ask: What is the thousands digit of 104619575? Response: 9 Ask: What is the hundreds digit of 884? Response: 8 Ask: What is the thousands digit of 14450784? Response: 0 Ask: What is the units digit of 5898159? Response: 9 Ask: What is the tens digit of 462? Response: 6 Ask: What is the millions digit of 1609696654? Response: 9 Ask: What is the tens digit of 43165? Response: 6 Ask: What is the units digit of 1248? Response: 8 Ask: What is the units digit of 8886? Response: 6 Ask: What is the thousands digit of 1758396? Response: 8 Ask: What is the thousands digit of 143230692? Response: 0 Ask: What is the hundreds digit of 4542615712? Response: 7 Ask: What is the thousands digit of 6192? Response: 6 Ask: What is the units digit of 6118585? Response: 5 Ask: What is the thousands digit of 12857921? Response: 7 Ask: What is the thousands digit of 304592? Response: 4 Ask: What is the hundreds digit of 304391656? Response: 6 Ask: What is the hundred thousands digit of 1335752157? Response: 7 Ask: What is the hundred thousands digit of 166092789? Response: 0 Ask: What is the ten thousands digit of 474621? Response: 7 Ask: What is the units digit of 82274? Response: 4 Ask: What is the ten thousands digit of 801046658? Response: 4 Ask: What is the millions digit of 1
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measurement: time ----------------- Problem Statement: What is 4 minutes after 5:04 AM? A.: 5:08 AM Problem Statement: How many minutes are there between 1:39 PM and 10:34 PM? A.: 535 Problem Statement: How many minutes are there between 6:59 PM and 2:11 AM? A.: 432 Problem Statement: What is 586 minutes before 1:42 PM? A.: 3:56 AM Problem Statement: How many minutes are there between 9:28 PM and 5:20 AM? A.: 472 Problem Statement: How many minutes are there between 7:45 PM and 10:38 PM? A.: 173 Problem Statement: What is 582 minutes before 1:22 PM? A.: 3:40 AM Problem Statement: How many minutes are there between 6:51 AM and 4:58 PM? A.: 607 Problem Statement: How many minutes are there between 9:47 AM and 12:23 PM? A.: 156 Problem Statement: What is 719 minutes before 4:42 AM? A.: 4:43 PM Problem Statement: How many minutes are there between 1:59 PM and 12:22 AM? A.: 623 Problem Statement: What is 142 minutes before 7:54 PM? A.: 5:32 PM Problem Statement: How many minutes are there between 4:27 PM and 5:17 PM? A.: 50 Problem Statement: What is 104 minutes after 2:54 PM? A.: 4:38 PM Problem Statement: How many minutes are there between 8:22 AM and 1:37 PM? A.: 315 Problem Statement: What is 9 minutes before 11:41 PM? A.: 11:32 PM Problem Statement: How many minutes are there between 6:11 PM and 5:03 AM? A.: 652 Problem Statement: What is 279 minutes after 3:43 AM? A.: 8:22 AM Problem Statement: How many minutes are there between 6:40 PM and 9:27 PM? A.: 167 Problem Statement: What is 342 minutes after 6:13 AM? A.: 11:55 AM Problem Statement: How many minutes are there between 12:54 PM and 10:06 PM? A.: 552 Problem Statement: What is 197 minutes before 4:29 AM? A.: 1:12 AM Problem Statement: What is 700 minutes before 7:02 AM? A.: 7:22 PM Problem Statement: How many minutes are there between 6:19 PM and 4:55 AM? A.: 636 Problem Statement: How many minutes are there between 7:39 AM and 9:08 AM? A.: 89 Problem Statement: How many minutes are there between 5:41 AM and
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numbers: lcm ------------ Scenario: Calculate the least common multiple of 378 and 378. Clarification: 378 Scenario: What is the common denominator of 17/765687 and -65/39266? Clarification: 1531374 Scenario: Calculate the lowest common multiple of 301 and 344. Clarification: 2408 Scenario: What is the least common multiple of 231 and 102? Clarification: 7854 Scenario: Find the common denominator of -99/8 and -34. Clarification: 8 Scenario: Find the common denominator of -12/10939 and 17/657. Clarification: 7186923 Scenario: Find the common denominator of 59/30805827 and -54/3949465. Clarification: 154029135 Scenario: Calculate the smallest common multiple of 1213311 and 588272. Clarification: 19412976 Scenario: What is the lowest common multiple of 7268580 and 33? Clarification: 7268580 Scenario: Find the common denominator of 59/2436 and -22/10179. Clarification: 285012 Scenario: Calculate the common denominator of 59/8 and 47/51566. Clarification: 206264 Scenario: Find the common denominator of -17/57462 and -2/302853. Clarification: 36948066 Scenario: Find the common denominator of -127/2352 and 67/24. Clarification: 2352 Scenario: What is the common denominator of -77/60 and -35/48? Clarification: 240 Scenario: Calculate the smallest common multiple of 1317762 and 10971. Clarification: 69841386 Scenario: Find the common denominator of 121/967932 and -95/1638. Clarification: 12583116 Scenario: What is the common denominator of -43/101208440 and 25/111329284? Clarification: 1113292840 Scenario: Find the common denominator of 7/87374284 and -49/2336. Clarification: 698994272 Scenario: What is the common denominator of 145/1842 and -1/192? Clarification: 58944 Scenario: Find the common denominator of 151/40128 and 67/448. Clarification: 280896 Scenario: Find the common denominator of -133/185114436 and 32/117. Clarification: 555343308 Scenario: Calculate the smallest common multiple of 154 and 22. Clarification: 154 Scenario: Calculate the common denominator of 43/
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probability: swr p sequence --------------------------- Puzzle: Four letters picked without replacement from {k: 7, m: 3}. What is prob of sequence kkmm? Soln: 1/20 Puzzle: Four letters picked without replacement from {m: 1, r: 1, b: 2, l: 2, u: 1}. What is prob of sequence blrl? Soln: 1/210 Puzzle: Three letters picked without replacement from {l: 5, j: 3}. What is prob of sequence lll? Soln: 5/28 Puzzle: Three letters picked without replacement from cwddmwddcc. Give prob of sequence cmd. Soln: 1/60 Puzzle: What is prob of sequence llg when three letters picked without replacement from {g: 2, l: 4, y: 6}? Soln: 1/55 Puzzle: Three letters picked without replacement from {x: 2, a: 5, z: 3, w: 2, i: 1, o: 6}. What is prob of sequence zox? Soln: 2/323 Puzzle: What is prob of sequence zzzu when four letters picked without replacement from uzzuzu? Soln: 1/20 Puzzle: Four letters picked without replacement from {m: 2, s: 13, d: 2, u: 2}. What is prob of sequence dmms? Soln: 13/23256 Puzzle: Two letters picked without replacement from cccvvcvcvccv. Give prob of sequence vv. Soln: 5/33 Puzzle: Three letters picked without replacement from {h: 6, l: 2, n: 3, x: 3, t: 1}. What is prob of sequence lth? Soln: 2/455 Puzzle: What is prob of sequence ro when two letters picked without replacement from {b: 4, r: 2, o: 6}? Soln: 1/11 Puzzle: Four letters picked without replacement from {j: 3, p: 1, f: 1, s: 11, b: 3}. Give prob of sequence sfsj. Soln: 55/15504 Puzzle: Calculate prob of sequence mb when two letters picked without replacement from {m: 1, b: 1, f: 5, h: 7}. Soln: 1/182 Puzzle: What is prob of sequence dfq when three letters picked without replacement from dkddfdddsdssfq? Soln: 1/156 Puzzle: What is prob of sequence oko when three letters picked without replacement from okkkokko? Soln: 5/56 Puzzle: What is prob of sequence nxl when three letters picked without replacement from xncxixiixielcil? Soln: 4/1365 Puzzle: Two letters picked without replacement from qsassaqqaqsa
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probability: swr p level set ---------------------------- Q: What is prob of picking 1 k, 1 s, and 1 v when three letters picked without replacement from {a: 3, o: 1, s: 2, v: 2, k: 2, p: 2}? Result: 2/55 Q: Three letters picked without replacement from xmmmmxmmmxmxmmimmmxm. What is prob of picking 1 i and 2 x? Result: 1/114 Q: Two letters picked without replacement from ppddpddddkpkqd. Give prob of picking 1 q and 1 k. Result: 2/91 Q: What is prob of picking 3 k when three letters picked without replacement from bbkkkkkkkkkbkbbobb? Result: 5/34 Q: Four letters picked without replacement from {s: 6, e: 3, d: 2, g: 3, l: 4}. Give prob of picking 2 s and 2 l. Result: 1/34 Q: Four letters picked without replacement from ccdddcddddvdcd. Give prob of picking 4 d. Result: 18/143 Q: What is prob of picking 1 x, 1 n, and 1 t when three letters picked without replacement from {t: 10, x: 1, n: 3, g: 1}? Result: 6/91 Q: Two letters picked without replacement from {d: 1, f: 5, q: 12}. Give prob of picking 1 f and 1 d. Result: 5/153 Q: What is prob of picking 1 t and 1 f when two letters picked without replacement from tlfftfsuutfs? Result: 2/11 Q: Two letters picked without replacement from vmiomooiooggmgv. Give prob of picking 1 i and 1 o. Result: 2/21 Q: Calculate prob of picking 2 o and 1 g when three letters picked without replacement from gboahopb. Result: 1/56 Q: Two letters picked without replacement from yytvayagytjtvajtyy. Give prob of picking 1 t and 1 j. Result: 8/153 Q: Calculate prob of picking 3 c and 1 s when four letters picked without replacement from scsccqssqmsscsss. Result: 9/455 Q: Three letters picked without replacement from {m: 8, p: 7, c: 2, f: 1, t: 2}. Give prob of picking 2 t and 1 f. Result: 1/1140 Q: Four letters picked without replacement from {y: 13, t: 3}. What is prob of picking 3 t and 1 y? Result: 1/140 Q: Calculate prob of picking 3 c when three letters picked without replacement from {a: 3, c: 3}. Result: 1/20 Q: Two letters picked without
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probability: swr p sequence --------------------------- Challenge: Calculate prob of sequence nkx when three letters picked without replacement from xknhkhdj. Hence: 1/168 Challenge: Four letters picked without replacement from {o: 9, j: 3, f: 7}. Give prob of sequence jooj. Hence: 3/646 Challenge: What is prob of sequence jx when two letters picked without replacement from xffxj? Hence: 1/10 Challenge: Two letters picked without replacement from dkqciqcccqkqdiiqdkkq. Give prob of sequence qd. Hence: 9/190 Challenge: Four letters picked without replacement from {w: 1, x: 2, u: 4, k: 4, e: 7}. What is prob of sequence ukue? Hence: 7/1530 Challenge: What is prob of sequence my when two letters picked without replacement from {e: 1, a: 2, m: 3, y: 1, v: 1, p: 5}? Hence: 1/52 Challenge: Two letters picked without replacement from vrnorlnjnvorvnnvlrrv. Give prob of sequence vj. Hence: 1/76 Challenge: Three letters picked without replacement from {m: 2, s: 1, r: 1, z: 1}. What is prob of sequence zms? Hence: 1/30 Challenge: Calculate prob of sequence ev when two letters picked without replacement from dsevssd. Hence: 1/42 Challenge: Four letters picked without replacement from {j: 7, v: 5, y: 5, n: 2}. Give prob of sequence nvny. Hence: 25/46512 Challenge: Two letters picked without replacement from xqxxqqqqqqxqxxqx. What is prob of sequence qq? Hence: 3/10 Challenge: Four letters picked without replacement from davkkdazddvkzvd. What is prob of sequence adzk? Hence: 1/546 Challenge: Three letters picked without replacement from jjnujjunujnjnjynn. Give prob of sequence ujy. Hence: 7/1360 Challenge: Four letters picked without replacement from jkxol. Give prob of sequence lkjx. Hence: 1/120 Challenge: What is prob of sequence jkl when three letters picked without replacement from {j: 5, k: 1, c: 1, n: 1, l: 1}? Hence: 5/504 Challenge: What is prob of sequence mmmm when four letters picked without replacement from mmmmmmmmm? Hence: 1 Challenge: Three letters picked without r
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measurement: conversion ----------------------- Subject: What is 1/10 of a decade in years? Steps: 1 Subject: Convert 3719.094ml to litres. Steps: 3.719094 Subject: Convert 926.5625m to kilometers. Steps: 0.9265625 Subject: What is 619.5503mg in micrograms? Steps: 619550.3 Subject: How many seconds are there in four thirds of a minute? Steps: 80 Subject: Convert 59.49598 nanograms to micrograms. Steps: 0.05949598 Subject: What is 19/4 of a second in milliseconds? Steps: 4750 Subject: How many centuries are there in 12.23391 months? Steps: 0.010194925 Subject: How many minutes are there in 188629.08us? Steps: 0.003143818 Subject: What is four thirds of a decade in months? Steps: 160 Subject: How many months are there in 27/2 of a year? Steps: 162 Subject: What is 288984.7 litres in millilitres? Steps: 288984700 Subject: How many kilograms are there in 496.0437 grams? Steps: 0.4960437 Subject: What is five quarters of a gram in milligrams? Steps: 1250 Subject: How many kilograms are there in 9.06618 tonnes? Steps: 9066.18 Subject: What is one twentieth of a micrometer in nanometers? Steps: 50 Subject: What is 991.1653l in millilitres? Steps: 991165.3 Subject: Convert 740.9927 years to months. Steps: 8891.9124 Subject: Convert 0.7226617 hours to milliseconds. Steps: 2601582.12 Subject: How many micrometers are there in 6/25 of a centimeter? Steps: 2400 Subject: How many micrometers are there in one fifth of a millimeter? Steps: 200 Subject: What is 0.6736004 weeks in milliseconds? Steps: 407393521.92 Subject: What is 13/4 of a micrometer in nanometers? Steps: 3250 Subject: What is 41.1429 decades in years? Steps: 411.429 Subject: What is seven thirds of a year in months? Steps: 28 Subject: How many centimeters are there in 1/5 of a meter? Steps: 20 Subject: What is twenty-five halves of a millennium in centuries? Steps: 125 Subject: Convert 2.735254nm to millimeters. Steps: 0.000002735254 Subject: How many grams are there in one fifth of a kilogram? Steps: 200 Subject:
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probability: swr p sequence --------------------------- Ask: Calculate prob of sequence cu when two letters picked without replacement from {c: 1, u: 7}. Thus: 1/8 Ask: What is prob of sequence iqb when three letters picked without replacement from {b: 2, q: 9, n: 1, i: 7}? Thus: 7/323 Ask: Two letters picked without replacement from {s: 1, o: 1, u: 4, z: 1, h: 1, i: 4}. Give prob of sequence uo. Thus: 1/33 Ask: What is prob of sequence fffn when four letters picked without replacement from fdfdfddnndnfndn? Thus: 1/273 Ask: Two letters picked without replacement from wwlwwfwfluwgdw. Give prob of sequence dw. Thus: 1/26 Ask: Calculate prob of sequence iiq when three letters picked without replacement from pqqiip. Thus: 1/30 Ask: Four letters picked without replacement from {s: 4, z: 2}. What is prob of sequence szzs? Thus: 1/15 Ask: Two letters picked without replacement from {y: 3, p: 12, i: 1}. What is prob of sequence pi? Thus: 1/20 Ask: What is prob of sequence ee when two letters picked without replacement from uejuukuueuk? Thus: 1/55 Ask: Calculate prob of sequence ddd when three letters picked without replacement from xddxddddxdddxxxdxxxx. Thus: 2/19 Ask: Calculate prob of sequence ttz when three letters picked without replacement from zvtttdd. Thus: 1/35 Ask: Three letters picked without replacement from mnmrzwz. Give prob of sequence rzm. Thus: 2/105 Ask: Four letters picked without replacement from {o: 3, t: 5}. Give prob of sequence otto. Thus: 1/14 Ask: Calculate prob of sequence qomu when four letters picked without replacement from opqqqommamup. Thus: 1/660 Ask: Four letters picked without replacement from frpsipssfsf. What is prob of sequence sisr? Thus: 1/660 Ask: Calculate prob of sequence kcwu when four letters picked without replacement from {u: 1, w: 1, c: 2, k: 1}. Thus: 1/60 Ask: Four letters picked without replacement from {t: 4, i: 1, h: 1, z: 3, q: 9}. What is prob of sequence zttz? Thus: 1/1020 Ask: Two letters picked without replacement fro
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numbers: div remainder ---------------------- Subject: Calculate the remainder when 7572 is divided by 1080. Explanation: 12 Subject: What is the remainder when 262 is divided by 84? Explanation: 10 Subject: What is the remainder when 574 is divided by 64? Explanation: 62 Subject: What is the remainder when 3671 is divided by 3? Explanation: 2 Subject: What is the remainder when 2403 is divided by 501? Explanation: 399 Subject: What is the remainder when 446874 is divided by 705? Explanation: 609 Subject: Calculate the remainder when 77074 is divided by 8249. Explanation: 2833 Subject: Calculate the remainder when 873 is divided by 148. Explanation: 133 Subject: Calculate the remainder when 542830 is divided by 2034. Explanation: 1786 Subject: Calculate the remainder when 20389 is divided by 20388. Explanation: 1 Subject: Calculate the remainder when 485473 is divided by 3173. Explanation: 4 Subject: Calculate the remainder when 570610149 is divided by 24. Explanation: 21 Subject: Calculate the remainder when 33429 is divided by 8. Explanation: 5 Subject: Calculate the remainder when 56361 is divided by 27199. Explanation: 1963 Subject: Calculate the remainder when 95999 is divided by 240. Explanation: 239 Subject: What is the remainder when 87 is divided by 43? Explanation: 1 Subject: Calculate the remainder when 3328486 is divided by 614. Explanation: 606 Subject: What is the remainder when 1460337 is divided by 1458686? Explanation: 1651 Subject: Calculate the remainder when 3323 is divided by 982. Explanation: 377 Subject: What is the remainder when 1626810 is divided by 80? Explanation: 10 Subject: Calculate the remainder when 2450649 is divided by 83. Explanation: 74 Subject: What is the remainder when 1759209 is divided by 1970? Explanation: 1969 Subject: What is the remainder when 56828 is divided by 28405? Explanation: 18 Subject: Calculate the remainder when 51 is divided by 26. Explanation: 25 Subject: Calculate the remainder when 117501120 is divided by
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numbers: lcm ------------ Situation: What is the smallest common multiple of 122 and 305? Derivation: 610 Situation: What is the common denominator of 63/22298 and 9/111490? Derivation: 111490 Situation: What is the common denominator of 44/35 and -9/200? Derivation: 1400 Situation: Calculate the common denominator of -36/857 and 109/10284. Derivation: 10284 Situation: Calculate the lowest common multiple of 120 and 36416. Derivation: 546240 Situation: Find the common denominator of -15/38 and -13/1282196. Derivation: 1282196 Situation: Find the common denominator of 55/6 and 125/18. Derivation: 18 Situation: Find the common denominator of -151/24 and 13/16. Derivation: 48 Situation: What is the lowest common multiple of 12 and 111? Derivation: 444 Situation: Calculate the smallest common multiple of 4964579 and 19. Derivation: 94327001 Situation: What is the common denominator of -119/78550 and 38/2144415? Derivation: 21444150 Situation: What is the smallest common multiple of 147 and 168? Derivation: 1176 Situation: Calculate the lowest common multiple of 272684 and 340855. Derivation: 1363420 Situation: Calculate the smallest common multiple of 1615102 and 493464. Derivation: 562055496 Situation: What is the least common multiple of 26126 and 10? Derivation: 130630 Situation: What is the least common multiple of 31008 and 48? Derivation: 31008 Situation: What is the least common multiple of 287091 and 28749? Derivation: 393027579 Situation: Calculate the common denominator of -77/12576 and -85/108. Derivation: 113184 Situation: Find the common denominator of -137/66 and 65/152. Derivation: 5016 Situation: What is the common denominator of -5/16 and -83/1064? Derivation: 2128 Situation: Calculate the common denominator of 111/18040 and -81/100. Derivation: 90200 Situation: Find the common denominator of -83/902 and 15/328. Derivation: 3608 Situation: What is the smallest common multiple of 35280 and 5880? Derivation: 35280 Situation: What is the lowest common mult
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probability: swr p sequence --------------------------- Conundrum: Calculate prob of sequence nc when two letters picked without replacement from {c: 7, n: 9}. β†’: 21/80 Conundrum: Calculate prob of sequence pa when two letters picked without replacement from {n: 1, m: 1, a: 1, h: 1, p: 1}. β†’: 1/20 Conundrum: Three letters picked without replacement from kphfplhllbhfpkphkhkh. Give prob of sequence fhb. β†’: 1/570 Conundrum: Calculate prob of sequence ih when two letters picked without replacement from hvyhhhhhhvhhhlghlihy. β†’: 3/95 Conundrum: Calculate prob of sequence pss when three letters picked without replacement from {p: 7, s: 7}. β†’: 7/52 Conundrum: Three letters picked without replacement from {g: 1, u: 3, z: 4, h: 1, v: 1, j: 6}. What is prob of sequence zhv? β†’: 1/840 Conundrum: Calculate prob of sequence ftii when four letters picked without replacement from {i: 2, t: 3, k: 5, r: 1, f: 1}. β†’: 1/1980 Conundrum: Three letters picked without replacement from {n: 3, s: 6, v: 7, m: 2, p: 1}. What is prob of sequence mvn? β†’: 7/969 Conundrum: What is prob of sequence ll when two letters picked without replacement from cclc? β†’: 0 Conundrum: Two letters picked without replacement from {u: 2, k: 4, z: 2, w: 5, y: 1}. What is prob of sequence uy? β†’: 1/91 Conundrum: Four letters picked without replacement from cfcccfccccc. Give prob of sequence cffc. β†’: 1/55 Conundrum: Three letters picked without replacement from lowdtlqtq. What is prob of sequence tqo? β†’: 1/126 Conundrum: Calculate prob of sequence lb when two letters picked without replacement from phblbhbbp. β†’: 1/18 Conundrum: What is prob of sequence byb when three letters picked without replacement from {b: 2, y: 5}? β†’: 1/21 Conundrum: What is prob of sequence xfh when three letters picked without replacement from lffxxllfdflxffxxhxxx? β†’: 2/285 Conundrum: Four letters picked without replacement from xyyyxxxyxxxyx. Give prob of sequence yyxx. β†’: 28/429 Conundrum: Calculate prob of sequence qp when two letters picked w
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measurement: conversion ----------------------- Problem #: What is 1/20 of a litre in millilitres? Sol: 50 Problem #: What is one fifth of a gram in milligrams? Sol: 200 Problem #: What is 0.1749572 litres in millilitres? Sol: 174.9572 Problem #: Convert 22319.71 years to millennia. Sol: 22.31971 Problem #: How many millilitres are there in 5/8 of a litre? Sol: 625 Problem #: How many millilitres are there in 53/4 of a litre? Sol: 13250 Problem #: How many microseconds are there in 13/4 of a millisecond? Sol: 3250 Problem #: How many meters are there in 0.2130051 nanometers? Sol: 0.0000000002130051 Problem #: How many millilitres are there in 21/8 of a litre? Sol: 2625 Problem #: What is 0.0752745 centuries in millennia? Sol: 0.00752745 Problem #: What is thirty-two fifths of a microgram in nanograms? Sol: 6400 Problem #: What is 1/10 of a microsecond in nanoseconds? Sol: 100 Problem #: What is 17/2 of a litre in millilitres? Sol: 8500 Problem #: Convert 7.271213 years to millennia. Sol: 0.007271213 Problem #: Convert 74804.37 kilometers to meters. Sol: 74804370 Problem #: What is 73/5 of a litre in millilitres? Sol: 14600 Problem #: What is 7/2 of a millennium in decades? Sol: 350 Problem #: Convert 179890.2 micrograms to nanograms. Sol: 179890200 Problem #: What is 15.77703 millimeters in nanometers? Sol: 15777030 Problem #: How many days are there in 12900.2193 seconds? Sol: 0.14930809375 Problem #: How many millimeters are there in seven eighths of a meter? Sol: 875 Problem #: Convert 6.045311 hours to microseconds. Sol: 21763119600 Problem #: How many millilitres are there in thirty-one fifths of a litre? Sol: 6200 Problem #: How many nanograms are there in fourty-five quarters of a microgram? Sol: 11250 Problem #: How many nanoseconds are there in 7/4 of a microsecond? Sol: 1750 Problem #: How many millilitres are there in 17/4 of a litre? Sol: 4250 Problem #: What is twenty-one fifths of a kilogram in grams? Sol: 4200 Problem #: How many meters are there in f
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probability: swr p sequence --------------------------- Qn: Calculate prob of sequence qeqq when four letters picked without replacement from {q: 9, d: 1, e: 10}. Steps: 14/323 Qn: Two letters picked without replacement from xxxbbxvxlvlvxvxlvvv. What is prob of sequence bb? Steps: 1/171 Qn: Three letters picked without replacement from psvvvvpspvpww. What is prob of sequence psw? Steps: 4/429 Qn: What is prob of sequence wj when two letters picked without replacement from {z: 3, w: 7, j: 2}? Steps: 7/66 Qn: Two letters picked without replacement from {a: 4, n: 1, q: 8, y: 5}. What is prob of sequence qn? Steps: 4/153 Qn: Calculate prob of sequence qh when two letters picked without replacement from gnhgqgggq. Steps: 1/36 Qn: Four letters picked without replacement from {u: 1, z: 4, e: 4, m: 1, f: 1, q: 3}. Give prob of sequence quze. Steps: 2/1001 Qn: What is prob of sequence frr when three letters picked without replacement from {f: 7, r: 2, k: 11}? Steps: 7/3420 Qn: Four letters picked without replacement from {h: 3, e: 7}. Give prob of sequence hhee. Steps: 1/20 Qn: What is prob of sequence ienm when four letters picked without replacement from {m: 3, i: 1, x: 3, n: 1, e: 2}? Steps: 1/840 Qn: Two letters picked without replacement from nooqxvonobvv. Give prob of sequence oq. Steps: 1/33 Qn: Four letters picked without replacement from fkbbfbbkkffbkbwfkf. Give prob of sequence wkbk. Steps: 1/612 Qn: Calculate prob of sequence fx when two letters picked without replacement from {n: 1, v: 1, x: 2, f: 1}. Steps: 1/10 Qn: Two letters picked without replacement from zyrznrny. What is prob of sequence nn? Steps: 1/28 Qn: What is prob of sequence llww when four letters picked without replacement from {l: 12, w: 3}? Steps: 11/455 Qn: Calculate prob of sequence mr when two letters picked without replacement from {r: 2, u: 2, m: 1, c: 2, v: 1}. Steps: 1/28 Qn: Three letters picked without replacement from {d: 2, e: 9}. Give prob of sequence ede. Steps: 8/55 Qn: What is prob
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probability: swr p sequence --------------------------- Case: Calculate prob of sequence hb when two letters picked without replacement from {b: 3, v: 6, h: 1, w: 4}. Interpretation: 3/182 Case: Four letters picked without replacement from uhhhhgtx. Give prob of sequence hghx. Interpretation: 1/140 Case: What is prob of sequence ch when two letters picked without replacement from {h: 1, c: 19}? Interpretation: 1/20 Case: Four letters picked without replacement from {z: 6, s: 2, p: 2, c: 1, u: 1}. What is prob of sequence ucsp? Interpretation: 1/2970 Case: Four letters picked without replacement from {h: 3, z: 7}. Give prob of sequence hhhz. Interpretation: 1/120 Case: Calculate prob of sequence qu when two letters picked without replacement from {u: 1, f: 1, s: 2, q: 1}. Interpretation: 1/20 Case: Three letters picked without replacement from {t: 4, r: 1, x: 2}. What is prob of sequence xrt? Interpretation: 4/105 Case: What is prob of sequence wq when two letters picked without replacement from {q: 1, c: 1, i: 1, w: 1, z: 1}? Interpretation: 1/20 Case: Four letters picked without replacement from hllhtsttt. What is prob of sequence lhhl? Interpretation: 1/756 Case: Calculate prob of sequence lf when two letters picked without replacement from flfllfll. Interpretation: 15/56 Case: Four letters picked without replacement from vvwwetevtbteg. Give prob of sequence gwbw. Interpretation: 1/8580 Case: Four letters picked without replacement from vkkvkvvvvv. Give prob of sequence kvvv. Interpretation: 1/8 Case: Four letters picked without replacement from cczzzzzzezzzzzeecz. What is prob of sequence zcze? Interpretation: 11/680 Case: Two letters picked without replacement from zyzzzzzrz. What is prob of sequence ry? Interpretation: 1/72 Case: Calculate prob of sequence fao when three letters picked without replacement from {o: 1, a: 1, i: 2, f: 1}. Interpretation: 1/60 Case: Three letters picked without replacement from {w: 9}. Give prob of sequence www. Interpretation: 1 C
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