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probability: swr p sequence --------------------------- Q=: Two letters picked without replacement from {w: 1, b: 2, e: 3, q: 1, y: 3, f: 1}. Give prob of sequence yq. Calculation: 3/110 Q=: Two letters picked without replacement from kkobqkkqqrbbbr. What is prob of sequence kk? Calculation: 6/91 Q=: Two letters picked without replacement from {o: 4, l: 2, f: 4}. Give prob of sequence ol. Calculation: 4/45 Q=: Calculate prob of sequence ubu when three letters picked without replacement from qvjjqjjuqjbjqqjqjjv. Calculation: 0 Q=: Four letters picked without replacement from {x: 2, s: 1, k: 2}. What is prob of sequence kssx? Calculation: 0 Q=: Calculate prob of sequence tmb when three letters picked without replacement from bmbt. Calculation: 1/12 Q=: Two letters picked without replacement from {e: 3, q: 5, x: 1, n: 1, z: 1, k: 3}. What is prob of sequence ez? Calculation: 3/182 Q=: Calculate prob of sequence mmqq when four letters picked without replacement from mmmmqmq. Calculation: 1/21 Q=: What is prob of sequence jg when two letters picked without replacement from {g: 5, j: 1, l: 2, f: 8}? Calculation: 1/48 Q=: Two letters picked without replacement from riqhhhhhhiirqriqrhh. What is prob of sequence hi? Calculation: 16/171 Q=: Three letters picked without replacement from {x: 11, e: 2}. What is prob of sequence xxx? Calculation: 15/26 Q=: What is prob of sequence sss when three letters picked without replacement from {i: 2, s: 6}? Calculation: 5/14 Q=: Calculate prob of sequence ee when two letters picked without replacement from eets. Calculation: 1/6 Q=: What is prob of sequence jt when two letters picked without replacement from {f: 1, w: 3, b: 1, t: 2, o: 3, j: 2}? Calculation: 1/33 Q=: What is prob of sequence fkkb when four letters picked without replacement from {b: 1, f: 6, k: 2, m: 2, c: 4}? Calculation: 1/2730 Q=: Three letters picked without replacement from jsjjzjjsjjjjjzj. Give prob of sequence jzz. Calculation: 11/1365 Q=: What is prob of sequence
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numbers: place value -------------------- Q): What is the thousands digit of 7892? Result: 7 Q): What is the thousands digit of 33780? Result: 3 Q): What is the thousands digit of 4344252? Result: 4 Q): What is the units digit of 37384958? Result: 8 Q): What is the tens digit of 3282? Result: 8 Q): What is the hundreds digit of 196755? Result: 7 Q): What is the thousands digit of 3923? Result: 3 Q): What is the thousands digit of 2310202? Result: 0 Q): What is the tens digit of 5236934650? Result: 5 Q): What is the millions digit of 10379033? Result: 0 Q): What is the tens digit of 788887? Result: 8 Q): What is the hundred thousands digit of 153151953? Result: 1 Q): What is the hundreds digit of 598? Result: 5 Q): What is the hundreds digit of 21627? Result: 6 Q): What is the ten thousands digit of 1539586713? Result: 8 Q): What is the millions digit of 20945924? Result: 0 Q): What is the units digit of 19412? Result: 2 Q): What is the hundreds digit of 70342587? Result: 5 Q): What is the ten thousands digit of 27745714? Result: 4 Q): What is the units digit of 29075601? Result: 1 Q): What is the hundred millions digit of 243948010? Result: 2 Q): What is the hundreds digit of 1039011? Result: 0 Q): What is the thousands digit of 943188? Result: 3 Q): What is the hundreds digit of 532? Result: 5 Q): What is the units digit of 2200? Result: 0 Q): What is the hundreds digit of 19530235? Result: 2 Q): What is the hundred thousands digit of 4282291? Result: 2 Q): What is the thousands digit of 1923? Result: 1 Q): What is the thousands digit of 10908172? Result: 8 Q): What is the units digit of 355? Result: 5 Q): What is the tens digit of 71446284? Result: 8 Q): What is the ten thousands digit of 345598? Result: 4 Q): What is the units digit of 20660? Result: 0 Q): What is the units digit of 969819? Result: 9 Q): What is the ten thousands digit of 29411832? Result: 1 Q): What is the ten thousands digit of 32392? Result: 3 Q): What is the tens digit of 1280569? Result: 6 Q
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numbers: place value -------------------- Example: What is the units digit of 1282138904? A.: 4 Example: What is the units digit of 1592018? A.: 8 Example: What is the units digit of 2314? A.: 4 Example: What is the hundred thousands digit of 642361? A.: 6 Example: What is the tens digit of 1228? A.: 2 Example: What is the tens digit of 3511? A.: 1 Example: What is the tens digit of 1025509? A.: 0 Example: What is the tens digit of 44786? A.: 8 Example: What is the ten thousands digit of 2387681? A.: 8 Example: What is the tens digit of 881201? A.: 0 Example: What is the tens digit of 3345? A.: 4 Example: What is the hundreds digit of 228723902? A.: 9 Example: What is the thousands digit of 14392? A.: 4 Example: What is the tens digit of 1107379? A.: 7 Example: What is the hundreds digit of 1060? A.: 0 Example: What is the tens digit of 7233? A.: 3 Example: What is the hundred thousands digit of 555799? A.: 5 Example: What is the thousands digit of 31522? A.: 1 Example: What is the millions digit of 31586900? A.: 1 Example: What is the hundreds digit of 234744? A.: 7 Example: What is the ten thousands digit of 302240498? A.: 4 Example: What is the ten thousands digit of 29444? A.: 2 Example: What is the hundred millions digit of 140013590? A.: 1 Example: What is the hundreds digit of 50229? A.: 2 Example: What is the tens digit of 2750? A.: 5 Example: What is the ten thousands digit of 328294? A.: 2 Example: What is the units digit of 143551? A.: 1 Example: What is the hundreds digit of 28116017? A.: 0 Example: What is the hundred millions digit of 199734594? A.: 1 Example: What is the thousands digit of 2918423? A.: 8 Example: What is the thousands digit of 639264918? A.: 4 Example: What is the hundreds digit of 2037353959? A.: 9 Example: What is the hundred thousands digit of 544681? A.: 5 Example: What is the ten thousands digit of 1373737593? A.: 3 Example: What is the hundreds digit of 551? A.: 5 Example: What is the ten thousands digit of 14883102? A.: 8 Examp
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numbers: is prime ----------------- Conundrum: Is 77839 composite? Fix: False Conundrum: Is 168545723 prime? Fix: True Conundrum: Is 341261 prime? Fix: False Conundrum: Is 166471 a composite number? Fix: False Conundrum: Is 1135463 prime? Fix: False Conundrum: Is 12447804833 composite? Fix: True Conundrum: Is 10546297 composite? Fix: True Conundrum: Is 9814599251 a prime number? Fix: False Conundrum: Is 40910533 a prime number? Fix: True Conundrum: Is 120355 a prime number? Fix: False Conundrum: Is 93463 a prime number? Fix: True Conundrum: Is 1313891 composite? Fix: False Conundrum: Is 23627635 a composite number? Fix: True Conundrum: Is 739682 prime? Fix: False Conundrum: Is 11724989 a composite number? Fix: True Conundrum: Is 2848938311 prime? Fix: True Conundrum: Is 47911 a composite number? Fix: False Conundrum: Is 9511 a composite number? Fix: False Conundrum: Is 34123 a composite number? Fix: False Conundrum: Is 31281 a composite number? Fix: True Conundrum: Is 19786627 a composite number? Fix: True Conundrum: Is 605842 composite? Fix: True Conundrum: Is 79292721617 a prime number? Fix: True Conundrum: Is 124296569 prime? Fix: True Conundrum: Is 2889572779 a prime number? Fix: True Conundrum: Is 32687 a prime number? Fix: True Conundrum: Is 1645837433 composite? Fix: False Conundrum: Is 49004513578 a composite number? Fix: True Conundrum: Is 21984229253 composite? Fix: True Conundrum: Is 3177022859 a prime number? Fix: True Conundrum: Is 351389 a composite number? Fix: True Conundrum: Is 6739 a prime number? Fix: False Conundrum: Is 255450067 prime? Fix: False Conundrum: Is 3732198607 a prime number? Fix: False Conundrum: Is 58469383 a composite number? Fix: True Conundrum: Is 11197 a composite number? Fix: False Conundrum: Is 118193970539 a prime number? Fix: True Conundrum: Is 89028313 composite? Fix: True Conundrum: Is 610787 prime? Fix: True Conundrum: Is 26735 a composite number? Fix: True Conundrum: Is 366246767 prime? Fix: False Conundrum: Is 521 a pri
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probability: swr p level set ---------------------------- Scenario: What is prob of picking 2 v when two letters picked without replacement from vvxv? Yields: 1/2 Scenario: Four letters picked without replacement from {g: 8, v: 8, h: 1}. Give prob of picking 2 g and 2 v. Yields: 28/85 Scenario: Four letters picked without replacement from enjnbseejqnnnnee. Give prob of picking 1 b, 1 e, 1 j, and 1 n. Yields: 3/91 Scenario: Four letters picked without replacement from {c: 3, o: 4, g: 1, n: 2, w: 3, p: 2}. Give prob of picking 2 w, 1 c, and 1 p. Yields: 6/455 Scenario: Two letters picked without replacement from aaggaalagattna. What is prob of picking 1 g and 1 a? Yields: 3/13 Scenario: Three letters picked without replacement from {t: 2, j: 1, q: 3, h: 1, k: 3}. What is prob of picking 2 t and 1 j? Yields: 1/120 Scenario: Calculate prob of picking 1 u, 2 h, and 1 m when four letters picked without replacement from {h: 2, d: 1, m: 1, z: 2, u: 1}. Yields: 1/35 Scenario: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from lulioxaulxoluul. Yields: 1/105 Scenario: Three letters picked without replacement from kuugrgggku. What is prob of picking 2 k and 1 r? Yields: 1/120 Scenario: Two letters picked without replacement from rxnxngnxxxnnvrgrng. What is prob of picking 1 n and 1 v? Yields: 2/51 Scenario: What is prob of picking 3 d and 1 x when four letters picked without replacement from xdjdxxxjfdc? Yields: 2/165 Scenario: Three letters picked without replacement from {h: 10, z: 10}. Give prob of picking 3 z. Yields: 2/19 Scenario: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {u: 1, y: 1, j: 1, m: 4, n: 1}. Yields: 1/7 Scenario: Two letters picked without replacement from {v: 4, i: 3, o: 1}. What is prob of picking 1 i and 1 o? Yields: 3/28 Scenario: Three letters picked without replacement from {c: 2, x: 10, q: 2}. Give prob of picking 2 q and 1 x. Yields: 5/182 Scenario: Calculate prob of picki
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measurement: conversion ----------------------- Scenario: What is eleven quarters of a microgram in nanograms? Solution: 2750 Scenario: How many months are there in eleven eighths of a millennium? Solution: 16500 Scenario: How many millilitres are there in 0.9711342 litres? Solution: 971.1342 Scenario: What is seven halves of a second in milliseconds? Solution: 3500 Scenario: What is nine tenths of a century in months? Solution: 1080 Scenario: What is 154.242 years in decades? Solution: 15.4242 Scenario: How many grams are there in 15/4 of a kilogram? Solution: 3750 Scenario: What is 40.35701 kilograms in grams? Solution: 40357.01 Scenario: What is 11/8 of a litre in millilitres? Solution: 1375 Scenario: Convert 1402.946ml to litres. Solution: 1.402946 Scenario: How many grams are there in 14.39144t? Solution: 14391440 Scenario: How many milliseconds are there in 25/4 of a second? Solution: 6250 Scenario: How many hours are there in 6.69325 days? Solution: 160.638 Scenario: How many millennia are there in 1.5976122 months? Solution: 0.00013313435 Scenario: What is seventy-five halves of a litre in millilitres? Solution: 37500 Scenario: How many millimeters are there in 1.002425nm? Solution: 0.000001002425 Scenario: How many millilitres are there in twenty-seven quarters of a litre? Solution: 6750 Scenario: How many grams are there in 17/4 of a kilogram? Solution: 4250 Scenario: What is 1.446312ml in litres? Solution: 0.001446312 Scenario: How many millennia are there in 3.278466 decades? Solution: 0.03278466 Scenario: How many years are there in seventeen halves of a century? Solution: 850 Scenario: Convert 8518.741cm to meters. Solution: 85.18741 Scenario: Convert 96.2166 nanometers to meters. Solution: 0.0000000962166 Scenario: Convert 0.3148191um to centimeters. Solution: 0.00003148191 Scenario: How many minutes are there in 0.9551439 seconds? Solution: 0.015919065 Scenario: How many meters are there in 4973.261nm? Solution: 0.000004973261 Scenario: What is 70884
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probability: swr p level set ---------------------------- Step: What is prob of picking 1 o and 1 x when two letters picked without replacement from xxxxooooxoxox? Result: 7/13 Step: Four letters picked without replacement from pbopbbppbzobpzkp. What is prob of picking 2 b, 1 k, and 1 z? Result: 1/91 Step: Calculate prob of picking 2 q when two letters picked without replacement from {w: 1, v: 1, i: 2, j: 1, q: 3, f: 5}. Result: 1/26 Step: Two letters picked without replacement from {z: 2, q: 1, h: 3, f: 1}. Give prob of picking 1 h and 1 z. Result: 2/7 Step: What is prob of picking 1 g and 3 c when four letters picked without replacement from gciiciccigc? Result: 2/33 Step: What is prob of picking 1 p and 2 y when three letters picked without replacement from ypyy? Result: 3/4 Step: Two letters picked without replacement from {c: 1, e: 1, b: 2, s: 2}. What is prob of picking 2 b? Result: 1/15 Step: Two letters picked without replacement from siftdst. Give prob of picking 1 i and 1 s. Result: 2/21 Step: Calculate prob of picking 2 p and 1 l when three letters picked without replacement from yyyplypccpymcypl. Result: 3/140 Step: What is prob of picking 3 k when three letters picked without replacement from {k: 13, h: 6}? Result: 286/969 Step: Calculate prob of picking 1 u and 2 b when three letters picked without replacement from {b: 1, c: 6, x: 3, a: 1, u: 2}. Result: 0 Step: Calculate prob of picking 1 r and 2 x when three letters picked without replacement from rxxryryxxxyryrr. Result: 12/91 Step: What is prob of picking 2 u when two letters picked without replacement from dduuuud? Result: 2/7 Step: Three letters picked without replacement from bbbmbbmmbbb. What is prob of picking 2 b and 1 m? Result: 28/55 Step: What is prob of picking 1 i and 2 o when three letters picked without replacement from {f: 3, o: 3, e: 3, i: 2, g: 2}? Result: 3/143 Step: Four letters picked without replacement from klrrzvlks. Give prob of picking 1 l, 2 r, and 1 v. Result: 1/63 Step: W
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numbers: div remainder ---------------------- Conundrum: What is the remainder when 76301 is divided by 431? Eval: 14 Conundrum: What is the remainder when 19206 is divided by 136? Eval: 30 Conundrum: What is the remainder when 11350 is divided by 264? Eval: 262 Conundrum: What is the remainder when 1711 is divided by 30? Eval: 1 Conundrum: Calculate the remainder when 44184 is divided by 579. Eval: 180 Conundrum: Calculate the remainder when 305 is divided by 11. Eval: 8 Conundrum: What is the remainder when 95 is divided by 12? Eval: 11 Conundrum: What is the remainder when 42567 is divided by 430? Eval: 427 Conundrum: Calculate the remainder when 156100 is divided by 11995. Eval: 165 Conundrum: What is the remainder when 591 is divided by 205? Eval: 181 Conundrum: What is the remainder when 3382 is divided by 342? Eval: 304 Conundrum: Calculate the remainder when 1372 is divided by 1194. Eval: 178 Conundrum: What is the remainder when 109493 is divided by 118? Eval: 107 Conundrum: What is the remainder when 338 is divided by 27? Eval: 14 Conundrum: Calculate the remainder when 23460439 is divided by 14. Eval: 9 Conundrum: Calculate the remainder when 35953 is divided by 222. Eval: 211 Conundrum: What is the remainder when 56686 is divided by 75? Eval: 61 Conundrum: What is the remainder when 10561 is divided by 477? Eval: 67 Conundrum: Calculate the remainder when 265634 is divided by 53. Eval: 51 Conundrum: Calculate the remainder when 1863 is divided by 598. Eval: 69 Conundrum: Calculate the remainder when 270 is divided by 95. Eval: 80 Conundrum: What is the remainder when 3379 is divided by 36? Eval: 31 Conundrum: Calculate the remainder when 19613 is divided by 142. Eval: 17 Conundrum: What is the remainder when 654393 is divided by 93478? Eval: 47 Conundrum: Calculate the remainder when 1430340 is divided by 6534. Eval: 5928 Conundrum: What is the remainder when 2365 is divided by 158? Eval: 153 Conundrum: What is the remainder when 610 is divided by 36? Ev
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numbers: div remainder ---------------------- Task: What is the remainder when 2396 is divided by 109? Answer: 107 Task: Calculate the remainder when 63716 is divided by 90. Answer: 86 Task: What is the remainder when 271526 is divided by 90501? Answer: 23 Task: What is the remainder when 1022 is divided by 264? Answer: 230 Task: Calculate the remainder when 624 is divided by 257. Answer: 110 Task: Calculate the remainder when 6162825 is divided by 123. Answer: 33 Task: What is the remainder when 422 is divided by 106? Answer: 104 Task: Calculate the remainder when 5138 is divided by 150. Answer: 38 Task: What is the remainder when 539 is divided by 257? Answer: 25 Task: Calculate the remainder when 14654031 is divided by 6819. Answer: 0 Task: What is the remainder when 6746 is divided by 1674? Answer: 50 Task: Calculate the remainder when 24569 is divided by 141. Answer: 35 Task: What is the remainder when 150252206 is divided by 4036? Answer: 4034 Task: Calculate the remainder when 7876 is divided by 983. Answer: 12 Task: What is the remainder when 5333 is divided by 280? Answer: 13 Task: Calculate the remainder when 1133 is divided by 7. Answer: 6 Task: Calculate the remainder when 347 is divided by 121. Answer: 105 Task: What is the remainder when 52535 is divided by 6559? Answer: 63 Task: Calculate the remainder when 68334 is divided by 207. Answer: 24 Task: Calculate the remainder when 974 is divided by 163. Answer: 159 Task: What is the remainder when 691 is divided by 334? Answer: 23 Task: Calculate the remainder when 66728051 is divided by 13. Answer: 0 Task: Calculate the remainder when 64143 is divided by 64132. Answer: 11 Task: What is the remainder when 34043 is divided by 117? Answer: 113 Task: Calculate the remainder when 261976 is divided by 29098. Answer: 94 Task: What is the remainder when 36513980 is divided by 640596? Answer: 8 Task: What is the remainder when 6763 is divided by 117? Answer: 94 Task: What is the remainder when 24 is divided by 8?
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numbers: div remainder ---------------------- Let: What is the remainder when 23835 is divided by 195? Compute: 45 Let: Calculate the remainder when 2679 is divided by 40. Compute: 39 Let: Calculate the remainder when 4053 is divided by 169. Compute: 166 Let: Calculate the remainder when 1302385 is divided by 10013. Compute: 695 Let: What is the remainder when 846 is divided by 16? Compute: 14 Let: What is the remainder when 1446875 is divided by 181? Compute: 142 Let: What is the remainder when 3037988 is divided by 1974? Compute: 2 Let: Calculate the remainder when 58 is divided by 50. Compute: 8 Let: Calculate the remainder when 86261 is divided by 12255. Compute: 476 Let: Calculate the remainder when 141716 is divided by 8. Compute: 4 Let: Calculate the remainder when 2976555 is divided by 258. Compute: 9 Let: Calculate the remainder when 30125 is divided by 175. Compute: 25 Let: What is the remainder when 399 is divided by 78? Compute: 9 Let: What is the remainder when 2938461 is divided by 326493? Compute: 24 Let: What is the remainder when 266 is divided by 53? Compute: 1 Let: What is the remainder when 18906 is divided by 511? Compute: 510 Let: Calculate the remainder when 15047 is divided by 570. Compute: 227 Let: Calculate the remainder when 24162 is divided by 135. Compute: 132 Let: Calculate the remainder when 337283267 is divided by 2514. Compute: 2513 Let: Calculate the remainder when 401 is divided by 67. Compute: 66 Let: What is the remainder when 10646 is divided by 2660? Compute: 6 Let: What is the remainder when 1533 is divided by 510? Compute: 3 Let: Calculate the remainder when 1842084 is divided by 63. Compute: 27 Let: Calculate the remainder when 44837 is divided by 8949. Compute: 92 Let: Calculate the remainder when 41 is divided by 11. Compute: 8 Let: What is the remainder when 697 is divided by 314? Compute: 69 Let: Calculate the remainder when 700 is divided by 228. Compute: 16 Let: What is the remainder when 3429 is divided by 11? Compute
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probability: swr p level set ---------------------------- Request: Calculate prob of picking 4 s when four letters picked without replacement from sgsssssssssssgsgssss. Outcome: 28/57 Request: What is prob of picking 2 t and 1 v when three letters picked without replacement from vtvttvvvvvvtvtvvvtt? Outcome: 84/323 Request: Two letters picked without replacement from {p: 3, l: 4, v: 2, k: 1, n: 1, y: 1}. What is prob of picking 1 y and 1 p? Outcome: 1/22 Request: Two letters picked without replacement from {g: 10, j: 2, s: 2}. Give prob of picking 2 j. Outcome: 1/91 Request: Three letters picked without replacement from ssssjjsj. Give prob of picking 1 j and 2 s. Outcome: 15/28 Request: Three letters picked without replacement from zzqeeezqdhzzeqhq. What is prob of picking 1 h, 1 d, and 1 z? Outcome: 1/56 Request: Three letters picked without replacement from {n: 5, t: 15}. What is prob of picking 1 t and 2 n? Outcome: 5/38 Request: Two letters picked without replacement from {e: 2, q: 2, n: 1, m: 4, p: 1}. What is prob of picking 1 n and 1 p? Outcome: 1/45 Request: Two letters picked without replacement from {w: 2, x: 2}. Give prob of picking 2 x. Outcome: 1/6 Request: What is prob of picking 2 c and 1 q when three letters picked without replacement from bqcc? Outcome: 1/4 Request: Three letters picked without replacement from {l: 4}. Give prob of picking 3 l. Outcome: 1 Request: Two letters picked without replacement from {f: 1, r: 2, k: 1, j: 1, e: 2}. Give prob of picking 1 e and 1 r. Outcome: 4/21 Request: Three letters picked without replacement from {z: 2, n: 6, g: 2, l: 1}. Give prob of picking 1 l and 2 z. Outcome: 1/165 Request: What is prob of picking 1 q and 1 g when two letters picked without replacement from gffgqgfg? Outcome: 1/7 Request: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from zellexllclxlzxzaze. Outcome: 2/17 Request: Two letters picked without replacement from evvttevtemvevvvtev. Give prob of picking 1
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numbers: div remainder ---------------------- Inquiry: Calculate the remainder when 279901 is divided by 428. Finding: 417 Inquiry: What is the remainder when 110716 is divided by 1538? Finding: 1518 Inquiry: Calculate the remainder when 24273 is divided by 25. Finding: 23 Inquiry: What is the remainder when 185 is divided by 45? Finding: 5 Inquiry: Calculate the remainder when 3378 is divided by 1119. Finding: 21 Inquiry: Calculate the remainder when 220 is divided by 76. Finding: 68 Inquiry: What is the remainder when 4862 is divided by 4396? Finding: 466 Inquiry: Calculate the remainder when 275 is divided by 70. Finding: 65 Inquiry: What is the remainder when 1348589 is divided by 28? Finding: 25 Inquiry: What is the remainder when 466539527 is divided by 741? Finding: 740 Inquiry: Calculate the remainder when 6520 is divided by 930. Finding: 10 Inquiry: Calculate the remainder when 2438 is divided by 74. Finding: 70 Inquiry: What is the remainder when 562988 is divided by 281126? Finding: 736 Inquiry: Calculate the remainder when 6139 is divided by 6133. Finding: 6 Inquiry: What is the remainder when 1187509 is divided by 679? Finding: 617 Inquiry: What is the remainder when 444 is divided by 35? Finding: 24 Inquiry: What is the remainder when 10213 is divided by 1259? Finding: 141 Inquiry: Calculate the remainder when 7417 is divided by 7332. Finding: 85 Inquiry: Calculate the remainder when 300617896 is divided by 20. Finding: 16 Inquiry: Calculate the remainder when 4110 is divided by 217. Finding: 204 Inquiry: What is the remainder when 1563 is divided by 760? Finding: 43 Inquiry: What is the remainder when 2114 is divided by 702? Finding: 8 Inquiry: Calculate the remainder when 93347 is divided by 5192. Finding: 5083 Inquiry: Calculate the remainder when 205294 is divided by 102585. Finding: 124 Inquiry: Calculate the remainder when 75024533 is divided by 118. Finding: 15 Inquiry: What is the remainder when 14367 is divided by 651? Finding: 45 Inquiry: Wha
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numbers: div remainder ---------------------- Situation: What is the remainder when 239146 is divided by 292? Sol: 290 Situation: What is the remainder when 912 is divided by 55? Sol: 32 Situation: Calculate the remainder when 6353029 is divided by 28. Sol: 25 Situation: Calculate the remainder when 127 is divided by 13. Sol: 10 Situation: What is the remainder when 178299 is divided by 3649? Sol: 3147 Situation: What is the remainder when 91 is divided by 55? Sol: 36 Situation: Calculate the remainder when 811 is divided by 55. Sol: 41 Situation: Calculate the remainder when 12865145 is divided by 219. Sol: 209 Situation: What is the remainder when 250 is divided by 18? Sol: 16 Situation: What is the remainder when 64545 is divided by 32? Sol: 1 Situation: Calculate the remainder when 193336517 is divided by 773346. Sol: 17 Situation: Calculate the remainder when 1187 is divided by 98. Sol: 11 Situation: What is the remainder when 440759 is divided by 146913? Sol: 20 Situation: What is the remainder when 18015 is divided by 7? Sol: 4 Situation: Calculate the remainder when 27676 is divided by 289. Sol: 221 Situation: Calculate the remainder when 64949144 is divided by 594. Sol: 590 Situation: What is the remainder when 15 is divided by 2? Sol: 1 Situation: What is the remainder when 1011098 is divided by 2534? Sol: 32 Situation: Calculate the remainder when 51310 is divided by 18. Sol: 10 Situation: Calculate the remainder when 231 is divided by 87. Sol: 57 Situation: Calculate the remainder when 14560 is divided by 59. Sol: 46 Situation: What is the remainder when 19776 is divided by 8757? Sol: 2262 Situation: What is the remainder when 14723072 is divided by 460096? Sol: 0 Situation: Calculate the remainder when 32191 is divided by 1387. Sol: 290 Situation: What is the remainder when 161 is divided by 14? Sol: 7 Situation: Calculate the remainder when 2145013 is divided by 493. Sol: 463 Situation: Calculate the remainder when 45858 is divided by 28. Sol: 22 Situa
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probability: swr p level set ---------------------------- Ask: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {f: 1, d: 1, o: 2, r: 3, m: 1, u: 4}. Compute: 2/33 Ask: What is prob of picking 1 u and 1 v when two letters picked without replacement from pysyvui? Compute: 1/21 Ask: Three letters picked without replacement from jjjgjjjj. What is prob of picking 3 j? Compute: 5/8 Ask: Two letters picked without replacement from {c: 4, n: 8, x: 2, g: 3}. What is prob of picking 1 g and 1 x? Compute: 3/68 Ask: Four letters picked without replacement from llbjbbbubilllbllbilb. What is prob of picking 1 u, 1 l, 1 j, and 1 i? Compute: 16/4845 Ask: Two letters picked without replacement from {v: 2, q: 1, t: 1, w: 1, c: 1, x: 1}. What is prob of picking 1 w and 1 c? Compute: 1/21 Ask: Two letters picked without replacement from {s: 10, l: 2}. What is prob of picking 1 s and 1 l? Compute: 10/33 Ask: Calculate prob of picking 2 e when two letters picked without replacement from {e: 7, u: 4, t: 4}. Compute: 1/5 Ask: Two letters picked without replacement from {s: 1, j: 1, b: 1, u: 1, x: 1}. Give prob of picking 1 b and 1 s. Compute: 1/10 Ask: Calculate prob of picking 1 p and 3 s when four letters picked without replacement from {p: 14, s: 5}. Compute: 35/969 Ask: Three letters picked without replacement from {n: 1, s: 2, x: 3, q: 4, b: 3, m: 6}. Give prob of picking 1 s, 1 m, and 1 n. Compute: 4/323 Ask: What is prob of picking 2 i and 2 g when four letters picked without replacement from ggiggi? Compute: 2/5 Ask: Calculate prob of picking 2 b when two letters picked without replacement from {m: 2, b: 3}. Compute: 3/10 Ask: Calculate prob of picking 4 r when four letters picked without replacement from rrrroooroorrrooorooo. Compute: 42/1615 Ask: What is prob of picking 4 v when four letters picked without replacement from {v: 6}? Compute: 1 Ask: Three letters picked without replacement from mmlllmllmlllml. Give prob of picking 2 m and 1 l.
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numbers: place value -------------------- Statement: What is the units digit of 22369? Resolution: 9 Statement: What is the tens digit of 287207? Resolution: 0 Statement: What is the tens digit of 2798391032? Resolution: 3 Statement: What is the millions digit of 6449027? Resolution: 6 Statement: What is the tens digit of 1268? Resolution: 6 Statement: What is the hundreds digit of 49260? Resolution: 2 Statement: What is the thousands digit of 4778? Resolution: 4 Statement: What is the thousands digit of 2009? Resolution: 2 Statement: What is the ten millions digit of 100792139? Resolution: 0 Statement: What is the units digit of 1372? Resolution: 2 Statement: What is the ten thousands digit of 696562? Resolution: 9 Statement: What is the thousands digit of 17406? Resolution: 7 Statement: What is the hundred thousands digit of 39873988? Resolution: 8 Statement: What is the tens digit of 70439? Resolution: 3 Statement: What is the hundreds digit of 345? Resolution: 3 Statement: What is the thousands digit of 1024188926? Resolution: 8 Statement: What is the units digit of 2517? Resolution: 7 Statement: What is the thousands digit of 19563889? Resolution: 3 Statement: What is the millions digit of 1963007? Resolution: 1 Statement: What is the units digit of 2902857? Resolution: 7 Statement: What is the units digit of 690? Resolution: 0 Statement: What is the thousands digit of 2694588? Resolution: 4 Statement: What is the tens digit of 37855? Resolution: 5 Statement: What is the tens digit of 5981412? Resolution: 1 Statement: What is the ten thousands digit of 194279? Resolution: 9 Statement: What is the millions digit of 12021843? Resolution: 2 Statement: What is the hundred thousands digit of 1602250? Resolution: 6 Statement: What is the millions digit of 99834118? Resolution: 9 Statement: What is the ten millions digit of 5453466690? Resolution: 5 Statement: What is the hundred millions digit of 1421185016? Resolution: 4 Statement: What is the ten thousands digit of
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numbers: lcm ------------ Exercise: What is the smallest common multiple of 468 and 702? Workthrough: 1404 Exercise: What is the common denominator of -25/238 and -149/12? Workthrough: 1428 Exercise: What is the least common multiple of 52442 and 31691104? Workthrough: 411984352 Exercise: What is the lowest common multiple of 3 and 20? Workthrough: 60 Exercise: What is the common denominator of 1/1616 and 75/112? Workthrough: 11312 Exercise: Find the common denominator of -13/33 and 99/34. Workthrough: 1122 Exercise: Calculate the common denominator of 27/22 and -31/40. Workthrough: 440 Exercise: Find the common denominator of 74/45 and 139/1854. Workthrough: 9270 Exercise: Calculate the lowest common multiple of 30028 and 8020. Workthrough: 60206140 Exercise: Calculate the common denominator of -131/10120 and -197/6210. Workthrough: 273240 Exercise: What is the smallest common multiple of 12 and 128? Workthrough: 384 Exercise: What is the least common multiple of 14859788 and 2636414? Workthrough: 163457668 Exercise: Calculate the least common multiple of 10752 and 2688. Workthrough: 10752 Exercise: What is the smallest common multiple of 535 and 920? Workthrough: 98440 Exercise: Find the common denominator of 79/1531869 and 47/720. Workthrough: 367648560 Exercise: Calculate the common denominator of -101/48 and 70/6496227. Workthrough: 103939632 Exercise: Calculate the lowest common multiple of 33 and 221331. Workthrough: 221331 Exercise: Calculate the common denominator of 1/4300 and 79/1287850. Workthrough: 2575700 Exercise: Calculate the common denominator of 67/22380930 and -49/24. Workthrough: 89523720 Exercise: Calculate the common denominator of 49/36 and -93/40. Workthrough: 360 Exercise: Calculate the common denominator of -117/6409088 and -149/185472. Workthrough: 57681792 Exercise: What is the least common multiple of 591 and 27? Workthrough: 5319 Exercise: Find the common denominator of -71/2296 and -67/1640. Workthrough: 11480 Exercise: Calculate the
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measurement: time ----------------- Given: How many minutes are there between 6:08 AM and 5:50 PM? Steps: 702 Given: What is 596 minutes before 4:18 AM? Steps: 6:22 PM Given: How many minutes are there between 3:35 AM and 4:17 AM? Steps: 42 Given: What is 286 minutes before 1:39 PM? Steps: 8:53 AM Given: What is 130 minutes before 4:10 PM? Steps: 2:00 PM Given: How many minutes are there between 6:57 AM and 8:34 AM? Steps: 97 Given: How many minutes are there between 9:09 PM and 6:50 AM? Steps: 581 Given: What is 121 minutes after 6:55 AM? Steps: 8:56 AM Given: How many minutes are there between 6:42 AM and 7:53 AM? Steps: 71 Given: How many minutes are there between 10:16 PM and 3:12 AM? Steps: 296 Given: What is 121 minutes after 9:48 PM? Steps: 11:49 PM Given: How many minutes are there between 6:01 PM and 11:43 PM? Steps: 342 Given: What is 610 minutes before 12:09 PM? Steps: 1:59 AM Given: What is 277 minutes before 8:30 PM? Steps: 3:53 PM Given: What is 76 minutes before 7:43 PM? Steps: 6:27 PM Given: What is 48 minutes after 11:13 AM? Steps: 12:01 PM Given: How many minutes are there between 5:55 PM and 4:58 AM? Steps: 663 Given: What is 504 minutes before 5:34 AM? Steps: 9:10 PM Given: What is 667 minutes after 7:00 AM? Steps: 6:07 PM Given: How many minutes are there between 10:53 PM and 3:17 AM? Steps: 264 Given: What is 399 minutes before 6:36 PM? Steps: 11:57 AM Given: What is 110 minutes after 9:39 AM? Steps: 11:29 AM Given: What is 423 minutes before 5:55 AM? Steps: 10:52 PM Given: How many minutes are there between 3:33 AM and 2:00 PM? Steps: 627 Given: What is 446 minutes after 12:08 PM? Steps: 7:34 PM Given: How many minutes are there between 8:09 PM and 10:16 PM? Steps: 127 Given: How many minutes are there between 9:56 AM and 2:48 PM? Steps: 292 Given: How many minutes are there between 8:24 AM and 4:40 PM? Steps: 496 Given: What is 665 minutes after 9:37 AM? Steps: 8:42 PM Given: What is 76 minutes before 9:42 PM? Steps: 8:26 PM Given: What is 39
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measurement: time ----------------- Statement: What is 12 minutes after 3:47 AM? Eval: 3:59 AM Statement: What is 430 minutes before 10:54 PM? Eval: 3:44 PM Statement: How many minutes are there between 2:47 PM and 2:57 PM? Eval: 10 Statement: What is 589 minutes before 10:30 AM? Eval: 12:41 AM Statement: How many minutes are there between 5:05 AM and 10:33 AM? Eval: 328 Statement: What is 132 minutes before 7:05 AM? Eval: 4:53 AM Statement: How many minutes are there between 6:38 PM and 10:53 PM? Eval: 255 Statement: What is 274 minutes after 4:43 PM? Eval: 9:17 PM Statement: How many minutes are there between 6:02 AM and 8:03 AM? Eval: 121 Statement: What is 657 minutes after 1:50 AM? Eval: 12:47 PM Statement: What is 76 minutes after 12:05 AM? Eval: 1:21 AM Statement: How many minutes are there between 8:57 PM and 6:33 AM? Eval: 576 Statement: How many minutes are there between 7:30 PM and 7:44 PM? Eval: 14 Statement: What is 283 minutes before 3:16 AM? Eval: 10:33 PM Statement: How many minutes are there between 3:21 AM and 9:15 AM? Eval: 354 Statement: What is 120 minutes before 10:20 PM? Eval: 8:20 PM Statement: How many minutes are there between 7:24 AM and 10:53 AM? Eval: 209 Statement: How many minutes are there between 9:46 PM and 10:55 PM? Eval: 69 Statement: How many minutes are there between 6:18 AM and 8:01 AM? Eval: 103 Statement: How many minutes are there between 5:02 AM and 12:52 PM? Eval: 470 Statement: How many minutes are there between 2:00 AM and 1:02 PM? Eval: 662 Statement: How many minutes are there between 4:16 AM and 7:53 AM? Eval: 217 Statement: How many minutes are there between 2:55 PM and 6:58 PM? Eval: 243 Statement: What is 313 minutes before 2:47 PM? Eval: 9:34 AM Statement: What is 657 minutes before 12:03 AM? Eval: 1:06 PM Statement: What is 191 minutes before 1:50 PM? Eval: 10:39 AM Statement: What is 624 minutes before 9:37 AM? Eval: 11:13 PM Statement: What is 60 minutes before 11:29 AM? Eval: 10:29 AM Statement: What is 682 mi
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probability: swr p level set ---------------------------- Q-: What is prob of picking 1 c and 1 d when two letters picked without replacement from cfdcdfjedyfd? A.: 4/33 Q-: What is prob of picking 3 o when three letters picked without replacement from {w: 2, o: 4}? A.: 1/5 Q-: Two letters picked without replacement from {v: 2, h: 2, n: 2, o: 5, g: 9}. What is prob of picking 1 v and 1 h? A.: 2/95 Q-: What is prob of picking 1 o and 2 q when three letters picked without replacement from oqoqoqqoqqoqo? A.: 63/143 Q-: Three letters picked without replacement from {a: 2, w: 6}. Give prob of picking 2 w and 1 a. A.: 15/28 Q-: Three letters picked without replacement from aaaftaappfat. Give prob of picking 2 t and 1 f. A.: 1/110 Q-: Calculate prob of picking 3 o and 1 w when four letters picked without replacement from {o: 6, m: 5, w: 6, b: 1}. A.: 2/51 Q-: What is prob of picking 4 j when four letters picked without replacement from qjqqyqjyqojjqoqqjjqq? A.: 1/323 Q-: Calculate prob of picking 4 n when four letters picked without replacement from {a: 1, n: 17}. A.: 7/9 Q-: Three letters picked without replacement from {t: 2, b: 4, w: 3, z: 1, n: 2}. What is prob of picking 1 n, 1 z, and 1 t? A.: 1/55 Q-: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {o: 4, k: 4, q: 3, f: 1, t: 1, r: 2}. A.: 4/35 Q-: Three letters picked without replacement from {v: 7, z: 1, o: 4, r: 1, c: 2}. Give prob of picking 2 c and 1 r. A.: 1/455 Q-: Calculate prob of picking 2 v and 2 n when four letters picked without replacement from {n: 4, v: 3, x: 4}. A.: 3/55 Q-: Two letters picked without replacement from {p: 3, z: 1, k: 2, i: 3, g: 1}. What is prob of picking 2 i? A.: 1/15 Q-: What is prob of picking 1 e and 3 h when four letters picked without replacement from {h: 7, a: 1, c: 2, e: 3, r: 1}? A.: 15/143 Q-: What is prob of picking 1 i and 3 l when four letters picked without replacement from llllllllllliilllllii? A.: 448/969 Q-: Two letters picked w
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probability: swr p sequence --------------------------- Step: Calculate prob of sequence giff when four letters picked without replacement from {g: 1, i: 2, e: 2, u: 1, f: 2, s: 1}. Soln: 1/756 Step: What is prob of sequence yyju when four letters picked without replacement from joyyjyoujujujyyyjuo? Soln: 5/646 Step: Calculate prob of sequence ppif when four letters picked without replacement from {h: 5, y: 3, f: 6, p: 2, i: 1}. Soln: 1/4760 Step: What is prob of sequence pp when two letters picked without replacement from {p: 15, f: 3}? Soln: 35/51 Step: Four letters picked without replacement from ycayaccacyacc. What is prob of sequence yaaa? Soln: 3/715 Step: Two letters picked without replacement from anannnnnnnnnnnnnnnan. Give prob of sequence an. Soln: 51/380 Step: Calculate prob of sequence epr when three letters picked without replacement from {s: 8, p: 3, e: 2, a: 3, z: 1, r: 1}. Soln: 1/816 Step: Calculate prob of sequence egg when three letters picked without replacement from mxemxxmgxygmxemx. Soln: 1/840 Step: Two letters picked without replacement from {z: 1, l: 1, d: 3, v: 2}. Give prob of sequence lz. Soln: 1/42 Step: Four letters picked without replacement from jyjyyjj. What is prob of sequence jyjj? Soln: 3/35 Step: Calculate prob of sequence qtdq when four letters picked without replacement from {d: 1, c: 1, t: 1, g: 2, q: 1, n: 1}. Soln: 0 Step: Two letters picked without replacement from {m: 3, o: 7, a: 2}. What is prob of sequence ao? Soln: 7/66 Step: Three letters picked without replacement from fnunmmnnum. Give prob of sequence nfn. Soln: 1/60 Step: Calculate prob of sequence to when two letters picked without replacement from dftottdfdotttfd. Soln: 2/35 Step: Calculate prob of sequence ala when three letters picked without replacement from aaapaxhplap. Soln: 2/99 Step: Four letters picked without replacement from nllnnl. What is prob of sequence lnnl? Soln: 1/10 Step: What is prob of sequence io when two letters picked without replacement fro
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measurement: conversion ----------------------- Challenge: How many seconds are there in 5562.961 days? A: 480639830.4 Challenge: How many months are there in 242.432 millennia? A: 2909184 Challenge: How many kilometers are there in 6.53519um? A: 0.00000000653519 Challenge: Convert 791031.6ml to litres. A: 791.0316 Challenge: Convert 82085.643 nanoseconds to hours. A: 0.0000000228015675 Challenge: How many millilitres are there in eighteen fifths of a litre? A: 3600 Challenge: How many millilitres are there in 6/25 of a litre? A: 240 Challenge: What is fourty-three quarters of a day in hours? A: 258 Challenge: What is 3/8 of a litre in millilitres? A: 375 Challenge: How many hours are there in three eighths of a week? A: 63 Challenge: Convert 41541.12kg to grams. A: 41541120 Challenge: Convert 5077.15 millennia to years. A: 5077150 Challenge: What is three fifths of a week in minutes? A: 6048 Challenge: What is 50186.48 microseconds in seconds? A: 0.05018648 Challenge: What is 1/15 of a minute in milliseconds? A: 4000 Challenge: How many milliseconds are there in 1/80 of a minute? A: 750 Challenge: How many nanoseconds are there in fifty-five quarters of a microsecond? A: 13750 Challenge: How many kilograms are there in one quarter of a tonne? A: 250 Challenge: What is 868.415 millimeters in nanometers? A: 868415000 Challenge: How many millimeters are there in fifty-nine quarters of a meter? A: 14750 Challenge: Convert 7.25825mg to nanograms. A: 7258250 Challenge: Convert 993612.7 millilitres to litres. A: 993.6127 Challenge: How many nanoseconds are there in 11/2 of a microsecond? A: 5500 Challenge: What is 9.023186 centuries in millennia? A: 0.9023186 Challenge: What is 35.32823 centuries in months? A: 42393.876 Challenge: What is fifty-seven fifths of a millennium in years? A: 11400 Challenge: How many nanograms are there in one fifth of a microgram? A: 200 Challenge: How many meters are there in 17/4 of a kilometer? A: 4250 Challenge: What is 1/16 of a kilometer
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numbers: is prime ----------------- Example: Is 153817 prime? Gives: True Example: Is 26324237869 composite? Gives: False Example: Is 3073660747 a prime number? Gives: False Example: Is 85273582 prime? Gives: False Example: Is 6521 composite? Gives: False Example: Is 2402034143 a prime number? Gives: True Example: Is 1220838947 prime? Gives: True Example: Is 10536041 composite? Gives: False Example: Is 8398783117 composite? Gives: False Example: Is 1092781 prime? Gives: False Example: Is 46696206691 composite? Gives: True Example: Is 241573 composite? Gives: True Example: Is 28181 a composite number? Gives: False Example: Is 6421333453 prime? Gives: False Example: Is 30969711427 a composite number? Gives: True Example: Is 64513 prime? Gives: True Example: Is 6295 a composite number? Gives: True Example: Is 159514 a prime number? Gives: False Example: Is 100712653 a prime number? Gives: False Example: Is 38301391 a prime number? Gives: False Example: Is 5099 a prime number? Gives: True Example: Is 25993446383 prime? Gives: False Example: Is 55687 composite? Gives: True Example: Is 677932859 prime? Gives: False Example: Is 10007 prime? Gives: True Example: Is 2942221 a composite number? Gives: False Example: Is 9944280641 composite? Gives: True Example: Is 7853 composite? Gives: False Example: Is 123709109 prime? Gives: True Example: Is 2142617 prime? Gives: False Example: Is 3252323 composite? Gives: True Example: Is 413945489 prime? Gives: True Example: Is 10088778961 a prime number? Gives: False Example: Is 4398554 a composite number? Gives: True Example: Is 195438602113 a prime number? Gives: True Example: Is 307391 prime? Gives: False Example: Is 28653763 a composite number? Gives: True Example: Is 1616454247 a composite number? Gives: False Example: Is 191413 a prime number? Gives: True Example: Is 4241 composite? Gives: False Example: Is 2057261 a composite number? Gives: True Example: Is 20844874571 a prime number? Gives: False Example: Is 25921691 composite?
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numbers: place value -------------------- Case: What is the tens digit of 13552594? Answer: 9 Case: What is the hundreds digit of 113435814? Answer: 8 Case: What is the thousands digit of 456198? Answer: 6 Case: What is the thousands digit of 24272? Answer: 4 Case: What is the thousands digit of 4670235? Answer: 0 Case: What is the hundreds digit of 4481? Answer: 4 Case: What is the units digit of 55641407? Answer: 7 Case: What is the ten thousands digit of 679490? Answer: 7 Case: What is the ten millions digit of 344081607? Answer: 4 Case: What is the units digit of 731287? Answer: 7 Case: What is the tens digit of 8856313? Answer: 1 Case: What is the tens digit of 5754763? Answer: 6 Case: What is the tens digit of 101908605? Answer: 0 Case: What is the ten thousands digit of 8308907? Answer: 0 Case: What is the hundred thousands digit of 1509250092? Answer: 2 Case: What is the ten thousands digit of 147707221? Answer: 0 Case: What is the ten millions digit of 200357928? Answer: 0 Case: What is the ten thousands digit of 30423? Answer: 3 Case: What is the tens digit of 5218360? Answer: 6 Case: What is the units digit of 7? Answer: 7 Case: What is the thousands digit of 3320? Answer: 3 Case: What is the units digit of 271? Answer: 1 Case: What is the thousands digit of 793003? Answer: 3 Case: What is the tens digit of 3071? Answer: 7 Case: What is the ten millions digit of 251096743? Answer: 5 Case: What is the hundred thousands digit of 32026283? Answer: 0 Case: What is the tens digit of 5339? Answer: 3 Case: What is the tens digit of 6410? Answer: 1 Case: What is the tens digit of 1931278? Answer: 7 Case: What is the thousands digit of 95170499? Answer: 0 Case: What is the tens digit of 1298? Answer: 9 Case: What is the hundred thousands digit of 471896? Answer: 4 Case: What is the thousands digit of 235947995? Answer: 7 Case: What is the tens digit of 289? Answer: 8 Case: What is the tens digit of 1667250? Answer: 5 Case: What is the units digit of 9451758? Answe
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numbers: div remainder ---------------------- Input: What is the remainder when 20084 is divided by 102? Answer: 92 Input: What is the remainder when 43682 is divided by 2722? Answer: 130 Input: Calculate the remainder when 12833 is divided by 1283. Answer: 3 Input: Calculate the remainder when 4419 is divided by 34. Answer: 33 Input: What is the remainder when 36907 is divided by 3227? Answer: 1410 Input: Calculate the remainder when 485410 is divided by 34667. Answer: 72 Input: What is the remainder when 182495 is divided by 91236? Answer: 23 Input: What is the remainder when 720 is divided by 101? Answer: 13 Input: Calculate the remainder when 144745 is divided by 386. Answer: 381 Input: Calculate the remainder when 100420605 is divided by 4656. Answer: 4653 Input: Calculate the remainder when 22502 is divided by 2911. Answer: 2125 Input: Calculate the remainder when 31404 is divided by 25780. Answer: 5624 Input: What is the remainder when 720421 is divided by 240056? Answer: 253 Input: What is the remainder when 470 is divided by 164? Answer: 142 Input: What is the remainder when 314 is divided by 44? Answer: 6 Input: What is the remainder when 154 is divided by 44? Answer: 22 Input: Calculate the remainder when 4951 is divided by 495. Answer: 1 Input: What is the remainder when 8164218 is divided by 883? Answer: 0 Input: Calculate the remainder when 19340 is divided by 90. Answer: 80 Input: Calculate the remainder when 327 is divided by 24. Answer: 15 Input: Calculate the remainder when 176 is divided by 91. Answer: 85 Input: What is the remainder when 3846 is divided by 10? Answer: 6 Input: What is the remainder when 24174 is divided by 24063? Answer: 111 Input: Calculate the remainder when 20200 is divided by 776. Answer: 24 Input: What is the remainder when 1740 is divided by 14? Answer: 4 Input: What is the remainder when 52 is divided by 22? Answer: 8 Input: What is the remainder when 9718 is divided by 808? Answer: 22 Input: What is the remainder when 106
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numbers: div remainder ---------------------- Problem: Calculate the remainder when 304 is divided by 80. Calculation: 64 Problem: Calculate the remainder when 740 is divided by 56. Calculation: 12 Problem: Calculate the remainder when 624068 is divided by 265. Calculation: 258 Problem: What is the remainder when 4929267 is divided by 1538? Calculation: 1515 Problem: Calculate the remainder when 29547 is divided by 83. Calculation: 82 Problem: What is the remainder when 13337 is divided by 6656? Calculation: 25 Problem: Calculate the remainder when 38486820 is divided by 471. Calculation: 468 Problem: What is the remainder when 13376202 is divided by 15? Calculation: 12 Problem: What is the remainder when 5223 is divided by 160? Calculation: 103 Problem: What is the remainder when 56 is divided by 33? Calculation: 23 Problem: Calculate the remainder when 718 is divided by 181. Calculation: 175 Problem: Calculate the remainder when 11089802 is divided by 1729. Calculation: 1725 Problem: What is the remainder when 533 is divided by 166? Calculation: 35 Problem: What is the remainder when 7711234 is divided by 196? Calculation: 6 Problem: Calculate the remainder when 79 is divided by 21. Calculation: 16 Problem: What is the remainder when 480519 is divided by 160168? Calculation: 15 Problem: What is the remainder when 615 is divided by 11? Calculation: 10 Problem: Calculate the remainder when 1031043 is divided by 38184. Calculation: 75 Problem: What is the remainder when 99628 is divided by 26? Calculation: 22 Problem: Calculate the remainder when 553 is divided by 275. Calculation: 3 Problem: Calculate the remainder when 251384 is divided by 4650. Calculation: 284 Problem: Calculate the remainder when 834546 is divided by 834545. Calculation: 1 Problem: What is the remainder when 801795 is divided by 162? Calculation: 57 Problem: Calculate the remainder when 812 is divided by 280. Calculation: 252 Problem: Calculate the remainder when 856964 is divided by 355. Calcul
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numbers: place value -------------------- Q/A: What is the units digit of 1630? Math A: 0 Q/A: What is the units digit of 1692882246? Math A: 6 Q/A: What is the tens digit of 26768? Math A: 6 Q/A: What is the tens digit of 2897129? Math A: 2 Q/A: What is the tens digit of 6074? Math A: 7 Q/A: What is the thousands digit of 3178? Math A: 3 Q/A: What is the hundred thousands digit of 237724? Math A: 2 Q/A: What is the thousands digit of 3044? Math A: 3 Q/A: What is the thousands digit of 357823? Math A: 7 Q/A: What is the hundreds digit of 27026? Math A: 0 Q/A: What is the hundred thousands digit of 201848? Math A: 2 Q/A: What is the hundreds digit of 127834? Math A: 8 Q/A: What is the hundreds digit of 962? Math A: 9 Q/A: What is the thousands digit of 1942? Math A: 1 Q/A: What is the hundreds digit of 518? Math A: 5 Q/A: What is the tens digit of 250620597? Math A: 9 Q/A: What is the billions digit of 1081801262? Math A: 1 Q/A: What is the ten thousands digit of 134747364? Math A: 4 Q/A: What is the millions digit of 4496358? Math A: 4 Q/A: What is the units digit of 8601503? Math A: 3 Q/A: What is the tens digit of 1181? Math A: 8 Q/A: What is the hundreds digit of 4759875? Math A: 8 Q/A: What is the thousands digit of 2133378014? Math A: 8 Q/A: What is the hundreds digit of 18669160? Math A: 1 Q/A: What is the ten thousands digit of 72295? Math A: 7 Q/A: What is the units digit of 378174339? Math A: 9 Q/A: What is the hundred thousands digit of 9564915? Math A: 5 Q/A: What is the units digit of 26810? Math A: 0 Q/A: What is the hundreds digit of 16518? Math A: 5 Q/A: What is the thousands digit of 181247? Math A: 1 Q/A: What is the units digit of 16452? Math A: 2 Q/A: What is the ten thousands digit of 279966068? Math A: 6 Q/A: What is the hundred thousands digit of 1814128? Math A: 8 Q/A: What is the hundreds digit of 1370? Math A: 3 Q/A: What is the ten millions digit of 4339788019? Math A: 3 Q/A: What is the units digit of 999291? Math A: 1 Q/A: What is the hun
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probability: swr p level set ---------------------------- Prompt: Two letters picked without replacement from kkkvkkvkkh. Give prob of picking 1 k and 1 v. Sol: 14/45 Prompt: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {o: 6, y: 6}. Sol: 6/11 Prompt: Two letters picked without replacement from {p: 1, r: 1, d: 4, w: 9, j: 4, e: 1}. What is prob of picking 1 p and 1 w? Sol: 9/190 Prompt: Calculate prob of picking 3 o and 1 y when four letters picked without replacement from yyooyoo. Sol: 12/35 Prompt: Two letters picked without replacement from jjjddjdjjjjjjjjdjj. What is prob of picking 2 d? Sol: 2/51 Prompt: Four letters picked without replacement from uibumjujiu. Give prob of picking 1 b and 3 m. Sol: 0 Prompt: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {d: 3, e: 1, s: 3}. Sol: 1/7 Prompt: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from jjbjjjbjjffuj. Sol: 4/39 Prompt: Three letters picked without replacement from {l: 3, q: 3, e: 13}. What is prob of picking 3 e? Sol: 286/969 Prompt: Two letters picked without replacement from {w: 4, g: 7, q: 2, y: 1}. What is prob of picking 1 q and 1 w? Sol: 8/91 Prompt: Three letters picked without replacement from ncwnnowncnn. Give prob of picking 2 c and 1 o. Sol: 1/165 Prompt: Two letters picked without replacement from {p: 6, o: 4, z: 2}. Give prob of picking 1 p and 1 z. Sol: 2/11 Prompt: Three letters picked without replacement from oolllooo. Give prob of picking 1 o and 2 l. Sol: 15/56 Prompt: Calculate prob of picking 1 h, 1 n, and 1 g when three letters picked without replacement from ngphhmnr. Sol: 1/14 Prompt: What is prob of picking 2 n when two letters picked without replacement from {n: 15, o: 4}? Sol: 35/57 Prompt: What is prob of picking 1 p and 1 d when two letters picked without replacement from {d: 1, e: 4, p: 1, n: 1, m: 1, v: 11}? Sol: 1/171 Prompt: Two letters picked without replacem
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numbers: is factor ------------------ Math Problem: Does 14 divide 625744? Finding: True Math Problem: Is 43 a factor of 559? Finding: True Math Problem: Is 1060 a multiple of 10? Finding: True Math Problem: Is 1403136 a multiple of 112? Finding: True Math Problem: Does 79 divide 415? Finding: False Math Problem: Does 4 divide 2284? Finding: True Math Problem: Does 103 divide 3711003473? Finding: False Math Problem: Does 17 divide 1972? Finding: True Math Problem: Does 2161 divide 48987613? Finding: False Math Problem: Does 4 divide 4967? Finding: False Math Problem: Does 10 divide 876439? Finding: False Math Problem: Does 299 divide 1092527462? Finding: True Math Problem: Is 611 a factor of 393484? Finding: True Math Problem: Is 1495 a multiple of 12? Finding: False Math Problem: Is 61 a factor of 409366? Finding: False Math Problem: Is 27 a factor of 13662? Finding: True Math Problem: Is 832851 a multiple of 60? Finding: False Math Problem: Is 323 a factor of 1402191155? Finding: False Math Problem: Is 142 a factor of 238368? Finding: False Math Problem: Is 1049659301 a multiple of 696? Finding: False Math Problem: Is 8518585 a multiple of 9? Finding: False Math Problem: Is 4 a factor of 52? Finding: True Math Problem: Does 661 divide 6144935? Finding: False Math Problem: Is 3 a factor of 14745091? Finding: False Math Problem: Is 8 a factor of 50535600? Finding: True Math Problem: Does 1060 divide 19336520? Finding: True Math Problem: Is 1033 a factor of 800570? Finding: False Math Problem: Does 221 divide 6545? Finding: False Math Problem: Is 56889 a multiple of 8? Finding: False Math Problem: Is 36525454 a multiple of 19? Finding: False Math Problem: Does 12 divide 217975? Finding: False Math Problem: Is 7657 a multiple of 6? Finding: False Math Problem: Is 219 a factor of 81836577? Finding: True Math Problem: Is 2149728 a multiple of 784? Finding: True Math Problem: Is 3467887 a multiple of 106? Finding: False Math Problem: Is 7513 a multiple of 11? Finding: Tr
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probability: swr p level set ---------------------------- Q: What is prob of picking 1 q and 3 m when four letters picked without replacement from mmqq? →: 0 Q: What is prob of picking 1 t and 1 f when two letters picked without replacement from ftf? →: 2/3 Q: Three letters picked without replacement from cicbcnxcn. What is prob of picking 1 c, 1 n, and 1 b? →: 2/21 Q: What is prob of picking 4 u when four letters picked without replacement from {f: 4, u: 5, r: 1}? →: 1/42 Q: Calculate prob of picking 1 k and 3 g when four letters picked without replacement from kkgkkgkggkgg. →: 8/33 Q: Three letters picked without replacement from ifidftftifqiti. Give prob of picking 2 i and 1 f. →: 10/91 Q: Calculate prob of picking 1 m and 2 c when three letters picked without replacement from mwwwcmmmcwcmm. →: 9/143 Q: Calculate prob of picking 1 u, 2 b, and 1 n when four letters picked without replacement from {b: 6, u: 1, n: 7}. →: 15/143 Q: Four letters picked without replacement from vovjdoxvtjxjdo. What is prob of picking 1 v, 2 x, and 1 d? →: 6/1001 Q: Four letters picked without replacement from lfllllllllllllllll. What is prob of picking 4 l? →: 7/9 Q: Three letters picked without replacement from {a: 3, d: 1, q: 1, f: 5, p: 1, z: 1}. Give prob of picking 1 p and 2 a. →: 3/220 Q: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from qalqelzd. →: 1/14 Q: Calculate prob of picking 3 p when three letters picked without replacement from {r: 4, p: 6}. →: 1/6 Q: Calculate prob of picking 3 x and 1 q when four letters picked without replacement from qxxxqxxx. →: 4/7 Q: What is prob of picking 1 u and 1 l when two letters picked without replacement from ewleaewwaewewuwuew? →: 2/153 Q: What is prob of picking 4 w when four letters picked without replacement from {j: 6, w: 7}? →: 7/143 Q: What is prob of picking 1 x and 1 h when two letters picked without replacement from {x: 3, b: 3, r: 3, h: 10}? →: 10/57 Q: Two letters picked without replacement
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arithmetic: nearest integer root -------------------------------- Exercise: What is the third root of 1261 to the nearest integer? Derivation: 11 Exercise: What is the ninth root of 84512087 to the nearest integer? Derivation: 8 Exercise: What is 671340921 to the power of 1/2, to the nearest integer? Derivation: 25910 Exercise: What is the cube root of 628397633 to the nearest integer? Derivation: 857 Exercise: What is the square root of 9969091 to the nearest integer? Derivation: 3157 Exercise: What is the third root of 28534 to the nearest integer? Derivation: 31 Exercise: What is the third root of 116 to the nearest integer? Derivation: 5 Exercise: What is 3460897 to the power of 1/2, to the nearest integer? Derivation: 1860 Exercise: What is 59 to the power of 1/2, to the nearest integer? Derivation: 8 Exercise: What is the cube root of 124955279 to the nearest integer? Derivation: 500 Exercise: What is 146616 to the power of 1/2, to the nearest integer? Derivation: 383 Exercise: What is the fourth root of 106 to the nearest integer? Derivation: 3 Exercise: What is 28872 to the power of 1/2, to the nearest integer? Derivation: 170 Exercise: What is 769445575 to the power of 1/3, to the nearest integer? Derivation: 916 Exercise: What is the third root of 16237 to the nearest integer? Derivation: 25 Exercise: What is the square root of 58532695 to the nearest integer? Derivation: 7651 Exercise: What is the cube root of 614676 to the nearest integer? Derivation: 85 Exercise: What is the fourth root of 422921 to the nearest integer? Derivation: 26 Exercise: What is the square root of 7686 to the nearest integer? Derivation: 88 Exercise: What is the fourth root of 4040 to the nearest integer? Derivation: 8 Exercise: What is the fifth root of 103315999 to the nearest integer? Derivation: 40 Exercise: What is 33495227 to the power of 1/2, to the nearest integer? Derivation: 5788 Exercise: What is 2388 to the power of 1/4, to the nearest integer? Derivation: 7 Exercise:
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numbers: div remainder ---------------------- Q-: Calculate the remainder when 42717 is divided by 562. Workthrough: 5 Q-: Calculate the remainder when 1792 is divided by 1792. Workthrough: 0 Q-: What is the remainder when 72 is divided by 37? Workthrough: 35 Q-: What is the remainder when 824440 is divided by 10706? Workthrough: 78 Q-: Calculate the remainder when 32464 is divided by 7. Workthrough: 5 Q-: What is the remainder when 1595902 is divided by 113993? Workthrough: 0 Q-: Calculate the remainder when 2536049 is divided by 825. Workthrough: 824 Q-: What is the remainder when 14492 is divided by 16? Workthrough: 12 Q-: Calculate the remainder when 225 is divided by 85. Workthrough: 55 Q-: Calculate the remainder when 11913 is divided by 3968. Workthrough: 9 Q-: Calculate the remainder when 294 is divided by 19. Workthrough: 9 Q-: Calculate the remainder when 53 is divided by 9. Workthrough: 8 Q-: Calculate the remainder when 870 is divided by 276. Workthrough: 42 Q-: What is the remainder when 41588372 is divided by 13862754? Workthrough: 110 Q-: What is the remainder when 4349 is divided by 396? Workthrough: 389 Q-: What is the remainder when 15186119 is divided by 7593056? Workthrough: 7 Q-: What is the remainder when 1754 is divided by 110? Workthrough: 104 Q-: What is the remainder when 24 is divided by 7? Workthrough: 3 Q-: What is the remainder when 206626 is divided by 12913? Workthrough: 18 Q-: What is the remainder when 63199 is divided by 4284? Workthrough: 3223 Q-: Calculate the remainder when 272 is divided by 21. Workthrough: 20 Q-: What is the remainder when 48903 is divided by 3515? Workthrough: 3208 Q-: Calculate the remainder when 1458 is divided by 304. Workthrough: 242 Q-: Calculate the remainder when 6543 is divided by 55. Workthrough: 53 Q-: What is the remainder when 1175705 is divided by 587715? Workthrough: 275 Q-: What is the remainder when 154 is divided by 48? Workthrough: 10 Q-: Calculate the remainder when 61619 is divided by 1500
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numbers: is factor ------------------ Problem #: Is 44 a factor of 216700? Explanation: True Problem #: Is 35748 a multiple of 27? Explanation: True Problem #: Is 51 a factor of 5355? Explanation: True Problem #: Is 7034780 a multiple of 205? Explanation: True Problem #: Does 45 divide 24041916? Explanation: False Problem #: Is 2 a factor of 385828? Explanation: True Problem #: Is 23 a factor of 29618? Explanation: False Problem #: Is 418 a multiple of 11? Explanation: True Problem #: Is 6000 a multiple of 12? Explanation: True Problem #: Does 357 divide 7263879? Explanation: True Problem #: Is 80004000 a multiple of 590? Explanation: True Problem #: Is 113037 a multiple of 41? Explanation: True Problem #: Does 115 divide 14494370? Explanation: True Problem #: Does 21 divide 756? Explanation: True Problem #: Does 127 divide 77089? Explanation: True Problem #: Is 880 a multiple of 3? Explanation: False Problem #: Is 56 a factor of 74879293? Explanation: False Problem #: Is 48 a factor of 3606514? Explanation: False Problem #: Does 193 divide 4186771? Explanation: False Problem #: Is 1326 a factor of 21319428? Explanation: True Problem #: Does 41 divide 3690? Explanation: True Problem #: Does 49 divide 1652? Explanation: False Problem #: Is 3 a factor of 58671? Explanation: True Problem #: Does 2473 divide 2500735250? Explanation: False Problem #: Does 516 divide 33049284? Explanation: True Problem #: Is 13 a factor of 280677746? Explanation: False Problem #: Does 914 divide 358979394? Explanation: False Problem #: Is 20 a factor of 88555426? Explanation: False Problem #: Is 28 a factor of 350384? Explanation: False Problem #: Does 18 divide 911? Explanation: False Problem #: Does 14 divide 1889? Explanation: False Problem #: Is 36 a factor of 2916? Explanation: True Problem #: Does 7 divide 151776? Explanation: False Problem #: Is 909 a multiple of 9? Explanation: True Problem #: Is 27960751 a multiple of 337? Explanation: False Problem #: Does 31 divide 387352967? E
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numbers: gcd ------------ Query: What is the highest common divisor of 65 and 54620163? Sol: 13 Query: Calculate the highest common divisor of 4448 and 133579000. Sol: 1112 Query: Calculate the highest common factor of 54 and 54. Sol: 54 Query: Calculate the greatest common divisor of 461 and 8913435. Sol: 461 Query: Calculate the highest common divisor of 4416 and 8. Sol: 8 Query: What is the greatest common divisor of 11 and 38773658? Sol: 11 Query: Calculate the greatest common factor of 16 and 272. Sol: 16 Query: Calculate the greatest common divisor of 17725470 and 210. Sol: 210 Query: Calculate the highest common divisor of 28935 and 1845. Sol: 45 Query: What is the highest common factor of 4170 and 310? Sol: 10 Query: What is the greatest common factor of 46 and 506? Sol: 46 Query: What is the greatest common divisor of 59470 and 1558? Sol: 38 Query: Calculate the highest common factor of 149625 and 455700. Sol: 525 Query: What is the highest common factor of 4 and 54? Sol: 2 Query: What is the greatest common factor of 268080 and 75? Sol: 15 Query: What is the highest common divisor of 266016 and 96864? Sol: 96 Query: Calculate the greatest common factor of 435 and 87. Sol: 87 Query: What is the greatest common factor of 148624 and 336? Sol: 112 Query: Calculate the highest common factor of 585 and 741. Sol: 39 Query: What is the greatest common factor of 6061 and 1888480? Sol: 319 Query: Calculate the greatest common factor of 12667 and 424. Sol: 53 Query: Calculate the greatest common divisor of 147 and 4893. Sol: 21 Query: Calculate the highest common divisor of 13 and 416. Sol: 13 Query: Calculate the highest common factor of 3131947980 and 30. Sol: 30 Query: Calculate the highest common factor of 71 and 444247. Sol: 71 Query: What is the highest common divisor of 4048 and 88? Sol: 88 Query: Calculate the highest common factor of 10 and 860. Sol: 10 Query: What is the greatest common divisor of 46 and 299? Sol: 23 Query: Calculate the highest common fact
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numbers: place value -------------------- Math Problem: What is the hundreds digit of 155134768? Outcome: 7 Math Problem: What is the ten thousands digit of 44102294? Outcome: 0 Math Problem: What is the hundred millions digit of 269369298? Outcome: 2 Math Problem: What is the units digit of 9710? Outcome: 0 Math Problem: What is the hundreds digit of 7836? Outcome: 8 Math Problem: What is the hundreds digit of 24647? Outcome: 6 Math Problem: What is the units digit of 517732116? Outcome: 6 Math Problem: What is the hundreds digit of 38482883? Outcome: 8 Math Problem: What is the hundreds digit of 4422? Outcome: 4 Math Problem: What is the ten thousands digit of 218065660? Outcome: 6 Math Problem: What is the hundred thousands digit of 144429? Outcome: 1 Math Problem: What is the thousands digit of 68317? Outcome: 8 Math Problem: What is the tens digit of 3547? Outcome: 4 Math Problem: What is the tens digit of 45074493? Outcome: 9 Math Problem: What is the tens digit of 1056? Outcome: 5 Math Problem: What is the hundred thousands digit of 5650842? Outcome: 6 Math Problem: What is the ten thousands digit of 251680212? Outcome: 8 Math Problem: What is the millions digit of 10054939? Outcome: 0 Math Problem: What is the thousands digit of 43181949? Outcome: 1 Math Problem: What is the units digit of 807? Outcome: 7 Math Problem: What is the millions digit of 1551933154? Outcome: 1 Math Problem: What is the tens digit of 711336? Outcome: 3 Math Problem: What is the hundreds digit of 677303484? Outcome: 4 Math Problem: What is the tens digit of 265359? Outcome: 5 Math Problem: What is the hundreds digit of 833699632? Outcome: 6 Math Problem: What is the ten thousands digit of 7976739? Outcome: 7 Math Problem: What is the hundred thousands digit of 2325157? Outcome: 3 Math Problem: What is the hundreds digit of 9510244137? Outcome: 1 Math Problem: What is the ten thousands digit of 40826? Outcome: 4 Math Problem: What is the tens digit of 73125? Outcome: 2 Math Problem:
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numbers: lcm ------------ Scenario: What is the common denominator of 29/3022 and -23/6? Final Answer: 9066 Scenario: What is the common denominator of 1/15544 and 37/538588? Final Answer: 72170792 Scenario: Find the common denominator of -67/1023 and -1/253. Final Answer: 23529 Scenario: Find the common denominator of -121/250 and -113/80. Final Answer: 2000 Scenario: Calculate the smallest common multiple of 40 and 172. Final Answer: 1720 Scenario: Find the common denominator of 77/37084 and 74/3. Final Answer: 111252 Scenario: Find the common denominator of 46/16497565 and 33/55454. Final Answer: 32995130 Scenario: Calculate the common denominator of -25/6 and 31/728. Final Answer: 2184 Scenario: Calculate the lowest common multiple of 1353 and 574. Final Answer: 18942 Scenario: What is the lowest common multiple of 432 and 1186380? Final Answer: 4745520 Scenario: What is the common denominator of 83/67877136 and 17/9? Final Answer: 67877136 Scenario: Calculate the common denominator of -113/126 and -63/122. Final Answer: 7686 Scenario: What is the least common multiple of 412470 and 36462348? Final Answer: 182311740 Scenario: What is the common denominator of -77/6120 and -53/165? Final Answer: 67320 Scenario: What is the least common multiple of 232 and 464? Final Answer: 464 Scenario: Find the common denominator of 127/716940 and 95/92178. Final Answer: 6452460 Scenario: Calculate the least common multiple of 8346 and 36166. Final Answer: 108498 Scenario: Calculate the lowest common multiple of 25 and 25. Final Answer: 25 Scenario: Find the common denominator of 51/19887944 and -7/6. Final Answer: 59663832 Scenario: Calculate the smallest common multiple of 20 and 57579456. Final Answer: 287897280 Scenario: What is the common denominator of 35/4 and 19/4746? Final Answer: 9492 Scenario: Calculate the lowest common multiple of 11346752 and 4352. Final Answer: 45387008 Scenario: Calculate the common denominator of -54/8374387 and -9/37086571. Final Answer: 25960
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probability: swr p level set ---------------------------- Q.: Two letters picked without replacement from {x: 1, q: 4, l: 2, s: 3, h: 4}. What is prob of picking 2 s? Yields: 3/91 Q.: Three letters picked without replacement from {x: 1, j: 3, e: 3, z: 2, n: 3, r: 2}. What is prob of picking 1 z and 2 n? Yields: 3/182 Q.: Four letters picked without replacement from srxxgrxsrxgexlx. What is prob of picking 1 g, 2 x, and 1 s? Yields: 4/91 Q.: Calculate prob of picking 1 e and 2 i when three letters picked without replacement from ieiaoaaietiaattaia. Yields: 5/204 Q.: Two letters picked without replacement from rzrjrejrrszstjsrzj. Give prob of picking 1 j and 1 t. Yields: 4/153 Q.: Two letters picked without replacement from {a: 2, o: 5, t: 2}. Give prob of picking 2 o. Yields: 5/18 Q.: Calculate prob of picking 1 o and 2 w when three letters picked without replacement from wowo. Yields: 1/2 Q.: Four letters picked without replacement from {m: 1, i: 2, u: 1, q: 1}. What is prob of picking 1 m, 2 i, and 1 q? Yields: 1/5 Q.: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from szwwzwzzwwwzzzzzwww. Yields: 9/19 Q.: Three letters picked without replacement from {e: 1, q: 2, z: 1, g: 2, o: 8}. What is prob of picking 1 z, 1 e, and 1 q? Yields: 1/182 Q.: Three letters picked without replacement from {n: 1, z: 1, f: 1, i: 2, r: 1, o: 1}. What is prob of picking 1 f, 1 r, and 1 i? Yields: 2/35 Q.: Calculate prob of picking 2 m when two letters picked without replacement from mememeeemeemmemmmme. Yields: 5/19 Q.: Two letters picked without replacement from gzsggjessemj. Give prob of picking 1 z and 1 g. Yields: 1/22 Q.: Calculate prob of picking 2 h, 1 l, and 1 j when four letters picked without replacement from hjvlbhcj. Yields: 1/35 Q.: Four letters picked without replacement from {h: 7, i: 5, v: 5, g: 2}. What is prob of picking 1 i, 2 h, and 1 v? Yields: 175/1292 Q.: What is prob of picking 4 a when four letters picked without replacement f
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numbers: place value -------------------- Part A: What is the units digit of 7559? Answer: 9 Part A: What is the hundred thousands digit of 569024872? Answer: 0 Part A: What is the units digit of 26454? Answer: 4 Part A: What is the tens digit of 3094725? Answer: 2 Part A: What is the tens digit of 38664702? Answer: 0 Part A: What is the hundred thousands digit of 12338437? Answer: 3 Part A: What is the thousands digit of 486829073? Answer: 9 Part A: What is the units digit of 269? Answer: 9 Part A: What is the units digit of 12075? Answer: 5 Part A: What is the units digit of 33? Answer: 3 Part A: What is the thousands digit of 134704408? Answer: 4 Part A: What is the ten thousands digit of 13942540? Answer: 4 Part A: What is the hundred thousands digit of 142708? Answer: 1 Part A: What is the units digit of 1177496086? Answer: 6 Part A: What is the tens digit of 57993? Answer: 9 Part A: What is the units digit of 1191? Answer: 1 Part A: What is the hundreds digit of 2926? Answer: 9 Part A: What is the thousands digit of 16504? Answer: 6 Part A: What is the units digit of 89819970? Answer: 0 Part A: What is the hundreds digit of 45023? Answer: 0 Part A: What is the thousands digit of 32715? Answer: 2 Part A: What is the hundreds digit of 10660? Answer: 6 Part A: What is the units digit of 10255979? Answer: 9 Part A: What is the billions digit of 1965849400? Answer: 1 Part A: What is the units digit of 545? Answer: 5 Part A: What is the units digit of 1949? Answer: 9 Part A: What is the ten thousands digit of 145565? Answer: 4 Part A: What is the units digit of 1705? Answer: 5 Part A: What is the tens digit of 116396401? Answer: 0 Part A: What is the units digit of 3960? Answer: 0 Part A: What is the millions digit of 67433880? Answer: 7 Part A: What is the units digit of 45341? Answer: 1 Part A: What is the thousands digit of 27109? Answer: 7 Part A: What is the units digit of 13672338? Answer: 8 Part A: What is the ten millions digit of 18425976? Answer: 1 Part A:
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measurement: conversion ----------------------- Scenario: How many micrometers are there in 21/4 of a centimeter? Eval: 52500 Scenario: How many kilograms are there in three tenths of a tonne? Eval: 300 Scenario: What is 19/4 of a minute in seconds? Eval: 285 Scenario: What is 10.54899 tonnes in grams? Eval: 10548990 Scenario: What is 1201.86906 hours in weeks? Eval: 7.1539825 Scenario: How many years are there in six fifths of a millennium? Eval: 1200 Scenario: How many millilitres are there in one quarter of a litre? Eval: 250 Scenario: How many millilitres are there in 55491.11l? Eval: 55491110 Scenario: What is 6.111176 decades in millennia? Eval: 0.06111176 Scenario: Convert 45.70446ml to litres. Eval: 0.04570446 Scenario: What is 11/4 of a litre in millilitres? Eval: 2750 Scenario: Convert 32375.25 centimeters to meters. Eval: 323.7525 Scenario: What is fourty-three quarters of a year in months? Eval: 129 Scenario: What is eighteen fifths of a day in minutes? Eval: 5184 Scenario: How many milligrams are there in nineteen quarters of a gram? Eval: 4750 Scenario: What is 911.425 millilitres in litres? Eval: 0.911425 Scenario: What is 4.661388 micrometers in nanometers? Eval: 4661.388 Scenario: Convert 89331.93 millilitres to litres. Eval: 89.33193 Scenario: What is 25/2 of a day in hours? Eval: 300 Scenario: What is 9/10 of a century in decades? Eval: 9 Scenario: How many micrometers are there in 6/5 of a centimeter? Eval: 12000 Scenario: What is 56.20915ms in seconds? Eval: 0.05620915 Scenario: How many millilitres are there in 2/125 of a litre? Eval: 16 Scenario: How many hours are there in one quarter of a day? Eval: 6 Scenario: How many milligrams are there in 33/5 of a gram? Eval: 6600 Scenario: What is 802.6609 hours in minutes? Eval: 48159.654 Scenario: How many nanoseconds are there in 38.13113 minutes? Eval: 2287867800000 Scenario: What is 0.3755188m in millimeters? Eval: 375.5188 Scenario: How many minutes are there in 1/10 of a day? Eval: 144 Scenario
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probability: swr p sequence --------------------------- Question: Two letters picked without replacement from rcrcccmmccmm. What is prob of sequence rr? Calculation: 1/66 Question: Two letters picked without replacement from jjjjjjyjjjjjy. Give prob of sequence jj. Calculation: 55/78 Question: Two letters picked without replacement from {y: 2, e: 3}. What is prob of sequence ee? Calculation: 3/10 Question: Four letters picked without replacement from {e: 1, v: 1, b: 7, n: 1, j: 7}. Give prob of sequence vbjb. Calculation: 7/1360 Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 5}. Calculation: 1 Question: Calculate prob of sequence dkwk when four letters picked without replacement from {k: 2, w: 2, d: 1}. Calculation: 1/30 Question: Four letters picked without replacement from zvggxhxxgvzg. What is prob of sequence hgxz? Calculation: 1/495 Question: Two letters picked without replacement from {x: 4, j: 2, h: 1, d: 1, b: 3}. What is prob of sequence hx? Calculation: 2/55 Question: Calculate prob of sequence buca when four letters picked without replacement from {a: 2, c: 2, u: 1, b: 4, v: 1, z: 2}. Calculation: 2/1485 Question: Calculate prob of sequence ez when two letters picked without replacement from {x: 2, z: 1, e: 3, o: 1, c: 1, v: 3}. Calculation: 3/110 Question: Two letters picked without replacement from {q: 4, v: 2, w: 1}. Give prob of sequence wq. Calculation: 2/21 Question: Four letters picked without replacement from sssssssbssbssbbbss. What is prob of sequence bsss? Calculation: 143/1224 Question: What is prob of sequence mblb when four letters picked without replacement from smisbmmmlbmmmm? Calculation: 2/3003 Question: Two letters picked without replacement from qqsstbstsotbstss. What is prob of sequence to? Calculation: 1/60 Question: What is prob of sequence krqq when four letters picked without replacement from {q: 6, k: 4, r: 1}? Calculation: 1/66 Question: Calculate prob of sequence kkks when four lett
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numbers: place value -------------------- Challenge: What is the thousands digit of 1471? Fix: 1 Challenge: What is the millions digit of 5264715811? Fix: 4 Challenge: What is the tens digit of 1272? Fix: 7 Challenge: What is the hundreds digit of 17501? Fix: 5 Challenge: What is the thousands digit of 1463? Fix: 1 Challenge: What is the hundred thousands digit of 302343? Fix: 3 Challenge: What is the thousands digit of 2488890? Fix: 8 Challenge: What is the hundreds digit of 946? Fix: 9 Challenge: What is the millions digit of 1149810285? Fix: 9 Challenge: What is the thousands digit of 7517? Fix: 7 Challenge: What is the ten thousands digit of 812455? Fix: 1 Challenge: What is the units digit of 4233226? Fix: 6 Challenge: What is the units digit of 447796853? Fix: 3 Challenge: What is the hundred thousands digit of 8461086? Fix: 4 Challenge: What is the ten thousands digit of 245700? Fix: 4 Challenge: What is the tens digit of 94286? Fix: 8 Challenge: What is the units digit of 948? Fix: 8 Challenge: What is the ten thousands digit of 41196397? Fix: 9 Challenge: What is the tens digit of 615150? Fix: 5 Challenge: What is the hundred thousands digit of 2964485? Fix: 9 Challenge: What is the hundreds digit of 1582? Fix: 5 Challenge: What is the hundreds digit of 1250? Fix: 2 Challenge: What is the hundreds digit of 4470? Fix: 4 Challenge: What is the ten millions digit of 24011718? Fix: 2 Challenge: What is the units digit of 9328? Fix: 8 Challenge: What is the tens digit of 4489525? Fix: 2 Challenge: What is the units digit of 3753? Fix: 3 Challenge: What is the units digit of 3919040078? Fix: 8 Challenge: What is the hundreds digit of 53315? Fix: 3 Challenge: What is the units digit of 8880047? Fix: 7 Challenge: What is the hundred thousands digit of 263110352? Fix: 1 Challenge: What is the units digit of 3265? Fix: 5 Challenge: What is the units digit of 570? Fix: 0 Challenge: What is the ten thousands digit of 16929004? Fix: 2 Challenge: What is the ten thousand
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probability: swr p sequence --------------------------- Example: Calculate prob of sequence qq when two letters picked without replacement from qlbq. Response: 1/6 Example: Four letters picked without replacement from rrzrzrzrzzrr. What is prob of sequence zrrr? Response: 35/396 Example: Four letters picked without replacement from sfzszzzsfsfzzzfzz. What is prob of sequence zfff? Response: 9/2380 Example: Two letters picked without replacement from ykyfoxop. What is prob of sequence fk? Response: 1/56 Example: Calculate prob of sequence dxc when three letters picked without replacement from oxdcd. Response: 1/30 Example: What is prob of sequence gii when three letters picked without replacement from {g: 5, i: 5}? Response: 5/36 Example: What is prob of sequence eh when two letters picked without replacement from hhoceoohchhhchoccc? Response: 7/306 Example: What is prob of sequence ms when two letters picked without replacement from {m: 12, s: 3}? Response: 6/35 Example: Two letters picked without replacement from jsjjsjsjjsj. Give prob of sequence jj. Response: 21/55 Example: Calculate prob of sequence hhh when three letters picked without replacement from qjhqjhqjqoqqhq. Response: 1/364 Example: What is prob of sequence mmhm when four letters picked without replacement from {h: 3, m: 8}? Response: 7/55 Example: Two letters picked without replacement from {v: 3}. What is prob of sequence vv? Response: 1 Example: What is prob of sequence xxl when three letters picked without replacement from {k: 2, i: 1, e: 12, l: 1, x: 3}? Response: 1/969 Example: What is prob of sequence zc when two letters picked without replacement from {x: 4, b: 2, c: 2, z: 1}? Response: 1/36 Example: Two letters picked without replacement from {x: 1, q: 3, h: 5, p: 4, y: 1}. What is prob of sequence hx? Response: 5/182 Example: What is prob of sequence id when two letters picked without replacement from {w: 1, i: 1, d: 1, f: 1, x: 1}? Response: 1/20 Example: Calculate prob of sequence xbef whe
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probability: swr p level set ---------------------------- Question: Four letters picked without replacement from {f: 2, e: 11}. What is prob of picking 4 e? Hence: 6/13 Question: Three letters picked without replacement from rrirri. What is prob of picking 3 r? Hence: 1/5 Question: Three letters picked without replacement from {a: 4, u: 3, o: 6, l: 2}. Give prob of picking 1 l and 2 u. Hence: 6/455 Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from oxllxxxpllhxhlppxx? Hence: 5/153 Question: Four letters picked without replacement from {f: 2, v: 5, y: 2, t: 7, r: 1, h: 3}. What is prob of picking 3 h and 1 t? Hence: 7/4845 Question: Two letters picked without replacement from {f: 2, t: 2, b: 10}. Give prob of picking 2 t. Hence: 1/91 Question: Two letters picked without replacement from {l: 4, n: 6, p: 1, w: 2}. Give prob of picking 1 l and 1 p. Hence: 2/39 Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from pppyfprffpgprpppp? Hence: 3/136 Question: Four letters picked without replacement from {u: 10, l: 6, b: 1}. What is prob of picking 2 u and 2 l? Hence: 135/476 Question: Four letters picked without replacement from tvvtlvkdllg. What is prob of picking 2 t, 1 g, and 1 v? Hence: 1/110 Question: Four letters picked without replacement from {q: 2, n: 1, c: 1, e: 2}. Give prob of picking 1 e, 2 q, and 1 c. Hence: 2/15 Question: Four letters picked without replacement from {c: 3, x: 1, i: 2, l: 1}. Give prob of picking 3 c and 1 l. Hence: 1/35 Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from bccicog? Hence: 1/7 Question: What is prob of picking 2 a and 1 j when three letters picked without replacement from anjajnnajanjaaa? Hence: 12/65 Question: Two letters picked without replacement from {n: 1, x: 2, q: 2, v: 1}. What is prob of picking 1 q and 1 v? Hence: 2/15 Question: Two letters picked without replacement from qqnnnqannnnnnna. What i
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numbers: is factor ------------------ Conundrum: Is 19 a factor of 57983? Ans: False Conundrum: Is 3648 a multiple of 6? Ans: True Conundrum: Does 33 divide 2170? Ans: False Conundrum: Does 7 divide 519776? Ans: False Conundrum: Does 38 divide 159? Ans: False Conundrum: Is 38 a factor of 473? Ans: False Conundrum: Does 79 divide 1185? Ans: True Conundrum: Is 9 a factor of 3299145? Ans: False Conundrum: Is 20 a factor of 97718? Ans: False Conundrum: Is 462 a multiple of 33? Ans: True Conundrum: Is 30 a factor of 11832? Ans: False Conundrum: Is 27 a factor of 1888813? Ans: False Conundrum: Is 58 a factor of 4181278? Ans: True Conundrum: Is 39 a multiple of 17? Ans: False Conundrum: Is 800238 a multiple of 36? Ans: False Conundrum: Is 296290 a multiple of 13? Ans: False Conundrum: Is 171 a factor of 3249? Ans: True Conundrum: Does 13 divide 609? Ans: False Conundrum: Is 152988 a multiple of 22? Ans: True Conundrum: Is 585 a multiple of 28? Ans: False Conundrum: Is 208 a factor of 123760? Ans: True Conundrum: Does 86 divide 140610? Ans: True Conundrum: Does 199 divide 6998? Ans: False Conundrum: Is 10562187 a multiple of 25? Ans: False Conundrum: Does 1590 divide 51320430? Ans: True Conundrum: Is 23 a factor of 139900? Ans: False Conundrum: Is 10593252 a multiple of 246? Ans: True Conundrum: Does 168 divide 337635144? Ans: True Conundrum: Is 20 a factor of 62700? Ans: True Conundrum: Is 153 a factor of 37026? Ans: True Conundrum: Is 751059273 a multiple of 48? Ans: False Conundrum: Does 5 divide 17060271? Ans: False Conundrum: Is 41 a factor of 10824? Ans: True Conundrum: Is 876 a multiple of 12? Ans: True Conundrum: Is 127 a factor of 127557914? Ans: False Conundrum: Is 1197098962 a multiple of 12370? Ans: False Conundrum: Is 30 a factor of 321? Ans: False Conundrum: Is 33 a factor of 85833? Ans: True Conundrum: Is 337 a factor of 213917? Ans: False Conundrum: Is 42684929 a multiple of 3? Ans: False Conundrum: Is 2201 a multiple of 32? Ans: False Conundrum: Is 225580 a
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numbers: place value -------------------- Q=: What is the ten thousands digit of 2886027? Thus: 8 Q=: What is the hundred thousands digit of 1356632840? Thus: 6 Q=: What is the tens digit of 22197? Thus: 9 Q=: What is the thousands digit of 948081? Thus: 8 Q=: What is the units digit of 99764? Thus: 4 Q=: What is the thousands digit of 18814? Thus: 8 Q=: What is the hundred millions digit of 341173443? Thus: 3 Q=: What is the ten thousands digit of 261522? Thus: 6 Q=: What is the thousands digit of 154179? Thus: 4 Q=: What is the hundreds digit of 9466186? Thus: 1 Q=: What is the ten thousands digit of 382716? Thus: 8 Q=: What is the tens digit of 574? Thus: 7 Q=: What is the units digit of 29875952? Thus: 2 Q=: What is the hundreds digit of 91435? Thus: 4 Q=: What is the millions digit of 3720182? Thus: 3 Q=: What is the millions digit of 6159462? Thus: 6 Q=: What is the units digit of 7947398? Thus: 8 Q=: What is the hundreds digit of 233216? Thus: 2 Q=: What is the hundreds digit of 8988? Thus: 9 Q=: What is the tens digit of 62231? Thus: 3 Q=: What is the hundred thousands digit of 3063975? Thus: 0 Q=: What is the hundred millions digit of 119962260? Thus: 1 Q=: What is the ten thousands digit of 240141597? Thus: 4 Q=: What is the thousands digit of 183548674? Thus: 8 Q=: What is the units digit of 2768086? Thus: 6 Q=: What is the tens digit of 10801? Thus: 0 Q=: What is the millions digit of 186814504? Thus: 6 Q=: What is the hundred thousands digit of 375384? Thus: 3 Q=: What is the thousands digit of 8056? Thus: 8 Q=: What is the units digit of 1302705314? Thus: 4 Q=: What is the hundreds digit of 99072319? Thus: 3 Q=: What is the tens digit of 103671? Thus: 7 Q=: What is the hundreds digit of 72487? Thus: 4 Q=: What is the hundred thousands digit of 17233791? Thus: 2 Q=: What is the hundred thousands digit of 3441765? Thus: 4 Q=: What is the units digit of 465? Thus: 5 Q=: What is the ten thousands digit of 74259402? Thus: 5 Q=: What is the ten thousands dig
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numbers: div remainder ---------------------- Task: What is the remainder when 2593298 is divided by 201? Answer: 197 Task: What is the remainder when 200 is divided by 95? Answer: 10 Task: Calculate the remainder when 1111983 is divided by 938. Answer: 453 Task: What is the remainder when 182 is divided by 163? Answer: 19 Task: What is the remainder when 38061 is divided by 276? Answer: 249 Task: Calculate the remainder when 146615 is divided by 25. Answer: 15 Task: Calculate the remainder when 165192 is divided by 418. Answer: 82 Task: What is the remainder when 2223670 is divided by 9041? Answer: 8625 Task: Calculate the remainder when 115 is divided by 67. Answer: 48 Task: What is the remainder when 171965 is divided by 51? Answer: 44 Task: Calculate the remainder when 4863 is divided by 684. Answer: 75 Task: Calculate the remainder when 64 is divided by 48. Answer: 16 Task: Calculate the remainder when 3953261 is divided by 2250. Answer: 11 Task: Calculate the remainder when 871 is divided by 29. Answer: 1 Task: What is the remainder when 7022 is divided by 1030? Answer: 842 Task: What is the remainder when 35972002 is divided by 7301? Answer: 7276 Task: What is the remainder when 14 is divided by 6? Answer: 2 Task: What is the remainder when 5408 is divided by 2531? Answer: 346 Task: What is the remainder when 6688919 is divided by 52? Answer: 3 Task: What is the remainder when 133536 is divided by 6352? Answer: 144 Task: Calculate the remainder when 74 is divided by 28. Answer: 18 Task: Calculate the remainder when 17930 is divided by 408. Answer: 386 Task: What is the remainder when 15109 is divided by 10? Answer: 9 Task: What is the remainder when 146 is divided by 37? Answer: 35 Task: Calculate the remainder when 168285 is divided by 9850. Answer: 835 Task: Calculate the remainder when 1487971 is divided by 16. Answer: 3 Task: Calculate the remainder when 1795 is divided by 58. Answer: 55 Task: Calculate the remainder when 1674805 is divided by 337. Answer
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numbers: lcm ------------ Puzzle: Find the common denominator of -113/90340 and 99/9034. Calculation: 90340 Puzzle: What is the smallest common multiple of 12168 and 104? Calculation: 12168 Puzzle: What is the least common multiple of 174220 and 77810? Calculation: 43729220 Puzzle: What is the lowest common multiple of 1367624 and 4102872? Calculation: 4102872 Puzzle: Calculate the lowest common multiple of 1571686 and 5698. Calculation: 121019822 Puzzle: Calculate the common denominator of 97/192 and 67/198. Calculation: 6336 Puzzle: Calculate the lowest common multiple of 211519 and 461496. Calculation: 5076456 Puzzle: Calculate the least common multiple of 3817 and 418. Calculation: 145046 Puzzle: What is the least common multiple of 89756 and 179512? Calculation: 179512 Puzzle: What is the least common multiple of 4 and 200? Calculation: 200 Puzzle: Find the common denominator of 63/85 and 27/4369. Calculation: 21845 Puzzle: What is the lowest common multiple of 304 and 336? Calculation: 6384 Puzzle: What is the lowest common multiple of 686361 and 35198? Calculation: 1372722 Puzzle: Calculate the least common multiple of 17154 and 976. Calculation: 8371152 Puzzle: What is the least common multiple of 83446476 and 2? Calculation: 83446476 Puzzle: Calculate the common denominator of -119/52650 and 49/1987011. Calculation: 99350550 Puzzle: What is the lowest common multiple of 139880 and 386? Calculation: 26996840 Puzzle: What is the smallest common multiple of 14 and 954? Calculation: 6678 Puzzle: Find the common denominator of 19/71604 and 31/991440. Calculation: 12888720 Puzzle: Find the common denominator of 149/3390 and 19/1582. Calculation: 23730 Puzzle: What is the common denominator of 25/2576 and -79/5650? Calculation: 7277200 Puzzle: What is the common denominator of -3/424 and -2/4104691? Calculation: 32837528 Puzzle: Calculate the lowest common multiple of 1164 and 732. Calculation: 71004 Puzzle: Find the common denominator of -63/8 and -157/4440. Calc
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numbers: is factor ------------------ Problem: Is 90 a factor of 4140? Yields: True Problem: Does 85 divide 4335? Yields: True Problem: Does 15 divide 95475? Yields: True Problem: Is 96 a factor of 61399? Yields: False Problem: Is 91880 a multiple of 8? Yields: True Problem: Is 15 a factor of 63054? Yields: False Problem: Is 47 a factor of 6105300? Yields: True Problem: Does 44 divide 663? Yields: False Problem: Is 18 a factor of 208652630? Yields: False Problem: Is 21686602 a multiple of 29? Yields: False Problem: Does 12 divide 44542519? Yields: False Problem: Does 39 divide 1634763? Yields: True Problem: Is 25654067 a multiple of 44? Yields: False Problem: Does 23 divide 66032? Yields: False Problem: Is 1125 a factor of 41188500? Yields: True Problem: Is 438 a factor of 66629344? Yields: False Problem: Does 60 divide 180? Yields: True Problem: Is 13 a factor of 39? Yields: True Problem: Is 2336 a multiple of 74? Yields: False Problem: Does 5 divide 1421529? Yields: False Problem: Does 81 divide 6561? Yields: True Problem: Is 12 a factor of 636372? Yields: True Problem: Is 189605160 a multiple of 120? Yields: True Problem: Does 584 divide 6317128? Yields: True Problem: Is 15696 a multiple of 41? Yields: False Problem: Is 83793 a multiple of 53? Yields: True Problem: Does 45 divide 82886? Yields: False Problem: Does 10 divide 2303483? Yields: False Problem: Is 227 a factor of 1003651671? Yields: True Problem: Does 417 divide 63142549? Yields: False Problem: Does 101 divide 1622490664? Yields: True Problem: Does 79 divide 10074736? Yields: False Problem: Is 82 a factor of 6117282? Yields: True Problem: Is 8891 a multiple of 32? Yields: False Problem: Is 219 a factor of 22334496? Yields: True Problem: Does 14 divide 15527173? Yields: False Problem: Is 62784 a multiple of 72? Yields: True Problem: Is 134 a factor of 6700? Yields: True Problem: Is 164 a multiple of 102? Yields: False Problem: Is 877 a factor of 10596791? Yields: True Problem: Is 6008402 a multiple of 1
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probability: swr p sequence --------------------------- Question: Calculate prob of sequence rrn when three letters picked without replacement from jsjsnssjrsjssnjssr. Calculation: 1/1224 Question: What is prob of sequence mmx when three letters picked without replacement from mmmmmmmmmxxmxmm? Calculation: 66/455 Question: Calculate prob of sequence njrj when four letters picked without replacement from nirinjnininimjri. Calculation: 1/2184 Question: What is prob of sequence flf when three letters picked without replacement from {f: 2, o: 1, z: 1, l: 2}? Calculation: 1/30 Question: Two letters picked without replacement from {r: 7, c: 7}. Give prob of sequence cr. Calculation: 7/26 Question: What is prob of sequence ebe when three letters picked without replacement from beebbbbebe? Calculation: 1/10 Question: Four letters picked without replacement from ddddddwddddd. Give prob of sequence dwdd. Calculation: 1/12 Question: Two letters picked without replacement from {k: 4, x: 7}. Give prob of sequence kk. Calculation: 6/55 Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, u: 1}. Calculation: 1/3 Question: Calculate prob of sequence zd when two letters picked without replacement from {z: 6, d: 7}. Calculation: 7/26 Question: Four letters picked without replacement from {t: 2, s: 10, p: 6}. Give prob of sequence tstp. Calculation: 1/612 Question: What is prob of sequence art when three letters picked without replacement from {t: 1, f: 2, r: 1, a: 1, v: 1, x: 1}? Calculation: 1/210 Question: Four letters picked without replacement from {h: 17, m: 3}. Give prob of sequence hhhh. Calculation: 28/57 Question: Calculate prob of sequence gg when two letters picked without replacement from ggggggggggggggoggggg. Calculation: 9/10 Question: Calculate prob of sequence mq when two letters picked without replacement from wwwqwmqwqq. Calculation: 2/45 Question: Four letters picked without replacement from {k: 7, c: 4}. What is prob of s
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numbers: gcd ------------ Let us solve: Calculate the highest common factor of 76 and 1102. Answer: 38 Let us solve: What is the highest common factor of 34 and 1377? Answer: 17 Let us solve: What is the highest common factor of 894 and 48? Answer: 6 Let us solve: Calculate the greatest common factor of 1539 and 567. Answer: 81 Let us solve: What is the highest common divisor of 943 and 8663801? Answer: 23 Let us solve: Calculate the greatest common divisor of 748 and 1707684. Answer: 748 Let us solve: What is the greatest common divisor of 4502586 and 9537? Answer: 561 Let us solve: What is the greatest common factor of 101106 and 1599? Answer: 123 Let us solve: Calculate the highest common divisor of 62 and 59582. Answer: 62 Let us solve: What is the highest common factor of 540 and 27? Answer: 27 Let us solve: What is the highest common divisor of 14550 and 300? Answer: 150 Let us solve: Calculate the highest common divisor of 6332400 and 800. Answer: 400 Let us solve: Calculate the highest common divisor of 14004 and 60246. Answer: 18 Let us solve: What is the greatest common divisor of 48 and 24? Answer: 24 Let us solve: What is the greatest common divisor of 102297 and 38370891? Answer: 2379 Let us solve: What is the greatest common factor of 13868 and 8? Answer: 4 Let us solve: What is the highest common divisor of 37723 and 238? Answer: 119 Let us solve: What is the highest common factor of 105 and 3969? Answer: 21 Let us solve: What is the greatest common factor of 2058207 and 323? Answer: 17 Let us solve: Calculate the greatest common factor of 29 and 246065. Answer: 29 Let us solve: Calculate the highest common factor of 41524 and 140. Answer: 28 Let us solve: Calculate the highest common factor of 90884370 and 5160. Answer: 1290 Let us solve: Calculate the greatest common factor of 15353184 and 77748. Answer: 4092 Let us solve: Calculate the highest common factor of 203 and 814639. Answer: 203 Let us solve: What is the greatest common factor of 370 and 5
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numbers: place value -------------------- Ask: What is the ten millions digit of 125306832? Solution: 2 Ask: What is the thousands digit of 752067? Solution: 2 Ask: What is the hundreds digit of 17794? Solution: 7 Ask: What is the tens digit of 122389? Solution: 8 Ask: What is the thousands digit of 106664? Solution: 6 Ask: What is the millions digit of 6327240286? Solution: 7 Ask: What is the ten millions digit of 33312888? Solution: 3 Ask: What is the units digit of 6559908? Solution: 8 Ask: What is the millions digit of 6993521? Solution: 6 Ask: What is the hundreds digit of 2455? Solution: 4 Ask: What is the hundred thousands digit of 761531829? Solution: 5 Ask: What is the millions digit of 1614698423? Solution: 4 Ask: What is the hundred thousands digit of 66188073? Solution: 1 Ask: What is the hundreds digit of 1411? Solution: 4 Ask: What is the hundreds digit of 20310? Solution: 3 Ask: What is the thousands digit of 777688? Solution: 7 Ask: What is the thousands digit of 106061322? Solution: 1 Ask: What is the thousands digit of 513879714? Solution: 9 Ask: What is the hundreds digit of 82295? Solution: 2 Ask: What is the units digit of 6035? Solution: 5 Ask: What is the millions digit of 3628751? Solution: 3 Ask: What is the hundreds digit of 201? Solution: 2 Ask: What is the hundred millions digit of 589124581? Solution: 5 Ask: What is the units digit of 155275424? Solution: 4 Ask: What is the thousands digit of 211416396? Solution: 6 Ask: What is the units digit of 484630? Solution: 0 Ask: What is the hundreds digit of 12995091? Solution: 0 Ask: What is the ten thousands digit of 87015? Solution: 8 Ask: What is the ten thousands digit of 5679733? Solution: 7 Ask: What is the ten thousands digit of 123411000? Solution: 1 Ask: What is the units digit of 545749? Solution: 9 Ask: What is the ten millions digit of 387083375? Solution: 8 Ask: What is the hundred thousands digit of 25052766? Solution: 0 Ask: What is the thousands digit of 75788710? Solution: 8 As
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numbers: is prime ----------------- Prompt: Is 33173247 a prime number? Gives: False Prompt: Is 49703317 a prime number? Gives: True Prompt: Is 365903 a prime number? Gives: True Prompt: Is 881959 prime? Gives: False Prompt: Is 48418529 prime? Gives: True Prompt: Is 223145297 composite? Gives: False Prompt: Is 5989393 composite? Gives: True Prompt: Is 9256000751 a prime number? Gives: True Prompt: Is 30684426449 prime? Gives: False Prompt: Is 1219731911 composite? Gives: False Prompt: Is 32317189 a prime number? Gives: True Prompt: Is 7686831 a prime number? Gives: False Prompt: Is 1135551643 a composite number? Gives: True Prompt: Is 388886749 composite? Gives: False Prompt: Is 846952061 composite? Gives: True Prompt: Is 21242696261 a composite number? Gives: True Prompt: Is 16568058163 composite? Gives: True Prompt: Is 4324597469 prime? Gives: False Prompt: Is 5212713911 composite? Gives: True Prompt: Is 11861987 a prime number? Gives: True Prompt: Is 32164687879 composite? Gives: False Prompt: Is 69 prime? Gives: False Prompt: Is 8027563 composite? Gives: False Prompt: Is 5062 a prime number? Gives: False Prompt: Is 81754187 a prime number? Gives: False Prompt: Is 346462651 composite? Gives: False Prompt: Is 41128301 a prime number? Gives: False Prompt: Is 2016317 composite? Gives: True Prompt: Is 17118797 prime? Gives: True Prompt: Is 2843 prime? Gives: True Prompt: Is 361027 a composite number? Gives: True Prompt: Is 678341513 composite? Gives: False Prompt: Is 1898227 a prime number? Gives: True Prompt: Is 10208161 a composite number? Gives: False Prompt: Is 58266177 a prime number? Gives: False Prompt: Is 5094760993 prime? Gives: False Prompt: Is 2511440569 a composite number? Gives: True Prompt: Is 46835669423 a composite number? Gives: False Prompt: Is 17266939 a composite number? Gives: False Prompt: Is 37436761 prime? Gives: False Prompt: Is 149837 composite? Gives: False Prompt: Is 68148394 composite? Gives: True Prompt: Is 1165539359 a prime number? Giv
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numbers: is prime ----------------- Problem: Is 84749 prime? Derivation: False Problem: Is 50515 composite? Derivation: True Problem: Is 253064657 a prime number? Derivation: True Problem: Is 661227145 a composite number? Derivation: True Problem: Is 17239559 composite? Derivation: False Problem: Is 59507 prime? Derivation: False Problem: Is 23273339 composite? Derivation: False Problem: Is 54533597909 a prime number? Derivation: False Problem: Is 26795513 composite? Derivation: False Problem: Is 10223 a composite number? Derivation: False Problem: Is 30726791 a prime number? Derivation: True Problem: Is 327553 composite? Derivation: False Problem: Is 58363 a composite number? Derivation: False Problem: Is 6608471291 a prime number? Derivation: True Problem: Is 205 composite? Derivation: True Problem: Is 3405859181 a composite number? Derivation: False Problem: Is 42043 a composite number? Derivation: False Problem: Is 92579171 composite? Derivation: True Problem: Is 438833 a prime number? Derivation: True Problem: Is 1153059613 a composite number? Derivation: True Problem: Is 60507173 a prime number? Derivation: False Problem: Is 2375252497 composite? Derivation: False Problem: Is 5219879 a composite number? Derivation: True Problem: Is 436217 a prime number? Derivation: True Problem: Is 15607 prime? Derivation: True Problem: Is 4099889 a composite number? Derivation: False Problem: Is 16086533 prime? Derivation: False Problem: Is 22081 prime? Derivation: False Problem: Is 100281288739 composite? Derivation: True Problem: Is 1572391 prime? Derivation: False Problem: Is 14941004821 a composite number? Derivation: False Problem: Is 12767424317 a prime number? Derivation: True Problem: Is 22668192253 composite? Derivation: True Problem: Is 33216251 a prime number? Derivation: True Problem: Is 3797 a prime number? Derivation: True Problem: Is 18623 prime? Derivation: False Problem: Is 5846717 a prime number? Derivation: True Problem: Is 99998645003 prime? Derivation: T
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arithmetic: nearest integer root -------------------------------- Prompt: What is the sixth root of 3085127 to the nearest integer? Soln: 12 Prompt: What is 1656075049 to the power of 1/2, to the nearest integer? Soln: 40695 Prompt: What is the sixth root of 344435591 to the nearest integer? Soln: 26 Prompt: What is the square root of 327814 to the nearest integer? Soln: 573 Prompt: What is the cube root of 477243 to the nearest integer? Soln: 78 Prompt: What is the sixth root of 668748338 to the nearest integer? Soln: 30 Prompt: What is the square root of 101038 to the nearest integer? Soln: 318 Prompt: What is 57218876 to the power of 1/8, to the nearest integer? Soln: 9 Prompt: What is 370052 to the power of 1/6, to the nearest integer? Soln: 8 Prompt: What is 1340236308 to the power of 1/3, to the nearest integer? Soln: 1103 Prompt: What is 545246418 to the power of 1/9, to the nearest integer? Soln: 9 Prompt: What is the square root of 545756 to the nearest integer? Soln: 739 Prompt: What is the seventh root of 960 to the nearest integer? Soln: 3 Prompt: What is 123821614 to the power of 1/3, to the nearest integer? Soln: 498 Prompt: What is 2922209 to the power of 1/3, to the nearest integer? Soln: 143 Prompt: What is 3495823 to the power of 1/8, to the nearest integer? Soln: 7 Prompt: What is 1045519005 to the power of 1/2, to the nearest integer? Soln: 32334 Prompt: What is the sixth root of 67737 to the nearest integer? Soln: 6 Prompt: What is the square root of 22940 to the nearest integer? Soln: 151 Prompt: What is the square root of 945 to the nearest integer? Soln: 31 Prompt: What is 248233 to the power of 1/2, to the nearest integer? Soln: 498 Prompt: What is the sixth root of 418800 to the nearest integer? Soln: 9 Prompt: What is 284296477 to the power of 1/2, to the nearest integer? Soln: 16861 Prompt: What is the third root of 57001 to the nearest integer? Soln: 38 Prompt: What is the square root of 275 to the nearest integer? Soln: 17 Prompt: What
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probability: swr p sequence --------------------------- Problem: Three letters picked without replacement from kikowffkwfk. Give prob of sequence fwk. Result: 4/165 Problem: Four letters picked without replacement from gwyg. Give prob of sequence wwyw. Result: 0 Problem: Calculate prob of sequence trf when three letters picked without replacement from rrvvmvvvtvfvtv. Result: 1/546 Problem: Three letters picked without replacement from uggkukkuwsk. What is prob of sequence sgu? Result: 1/165 Problem: Four letters picked without replacement from {f: 1, i: 1, p: 1, o: 1, d: 1}. What is prob of sequence pdfi? Result: 1/120 Problem: What is prob of sequence pcp when three letters picked without replacement from pccppcpppcppc? Result: 70/429 Problem: What is prob of sequence qd when two letters picked without replacement from {d: 2, y: 6, f: 2, g: 3, q: 2}? Result: 2/105 Problem: Four letters picked without replacement from ccctcccccctc. What is prob of sequence tcct? Result: 1/66 Problem: What is prob of sequence jg when two letters picked without replacement from {g: 2, j: 10}? Result: 5/33 Problem: Two letters picked without replacement from {x: 1, n: 1, z: 2, y: 4, m: 2, d: 2}. What is prob of sequence yd? Result: 2/33 Problem: Calculate prob of sequence xxx when three letters picked without replacement from xbblllbbxxibblhbb. Result: 1/680 Problem: Two letters picked without replacement from {x: 2, j: 4}. Give prob of sequence jj. Result: 2/5 Problem: Four letters picked without replacement from {s: 3, h: 4, x: 4, l: 3}. Give prob of sequence xllx. Result: 3/1001 Problem: Calculate prob of sequence wln when three letters picked without replacement from mvlwvumvvllvnvvmvvv. Result: 1/1938 Problem: Three letters picked without replacement from {b: 3, c: 1, z: 4, q: 2, h: 1}. Give prob of sequence qbh. Result: 1/165 Problem: Two letters picked without replacement from {u: 8, c: 3}. Give prob of sequence uc. Result: 12/55 Problem: What is prob of sequence nh when two let
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numbers: gcd ------------ Subject: Calculate the highest common factor of 1500 and 118200. Therefore: 300 Subject: What is the highest common divisor of 705 and 9004410? Therefore: 15 Subject: What is the highest common factor of 1340 and 5580? Therefore: 20 Subject: What is the greatest common factor of 416 and 64? Therefore: 32 Subject: What is the greatest common divisor of 6 and 243834? Therefore: 6 Subject: What is the greatest common divisor of 4 and 2? Therefore: 2 Subject: What is the greatest common factor of 31091 and 2? Therefore: 1 Subject: Calculate the greatest common factor of 4121 and 1222127881. Therefore: 4121 Subject: What is the highest common factor of 1168 and 3744? Therefore: 16 Subject: What is the greatest common factor of 9555 and 588? Therefore: 147 Subject: Calculate the highest common divisor of 92 and 2162. Therefore: 46 Subject: Calculate the greatest common divisor of 110685 and 70815. Therefore: 15 Subject: Calculate the highest common divisor of 518 and 203499926. Therefore: 518 Subject: Calculate the highest common factor of 150 and 6. Therefore: 6 Subject: Calculate the highest common divisor of 45 and 1515. Therefore: 15 Subject: What is the greatest common factor of 428 and 49752? Therefore: 4 Subject: Calculate the highest common factor of 81 and 79. Therefore: 1 Subject: Calculate the greatest common divisor of 46782 and 9. Therefore: 9 Subject: Calculate the greatest common factor of 98 and 3402. Therefore: 14 Subject: Calculate the greatest common factor of 1625 and 95049175. Therefore: 325 Subject: Calculate the highest common divisor of 51141 and 12. Therefore: 3 Subject: Calculate the greatest common divisor of 156 and 39. Therefore: 39 Subject: What is the greatest common divisor of 40 and 25? Therefore: 5 Subject: What is the highest common divisor of 11745 and 233685? Therefore: 405 Subject: What is the highest common divisor of 3936 and 294301608? Therefore: 984 Subject: What is the greatest common factor of 107 and 6
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numbers: is factor ------------------ Ask: Does 223 divide 2068206? Calculation: False Ask: Is 5653824 a multiple of 19? Calculation: False Ask: Is 991 a factor of 209101? Calculation: True Ask: Is 66725 a multiple of 157? Calculation: True Ask: Does 172 divide 43516? Calculation: True Ask: Does 328 divide 26372? Calculation: False Ask: Is 12757880 a multiple of 10? Calculation: True Ask: Does 2568 divide 2410952219? Calculation: False Ask: Is 3696 a multiple of 22? Calculation: True Ask: Is 15027804 a multiple of 198? Calculation: True Ask: Does 198 divide 27938539? Calculation: False Ask: Is 437 a factor of 70357? Calculation: True Ask: Is 5947 a multiple of 41? Calculation: False Ask: Is 29 a factor of 46966? Calculation: False Ask: Is 7 a factor of 13367910? Calculation: False Ask: Does 639 divide 12147390? Calculation: True Ask: Is 121 a factor of 32975? Calculation: False Ask: Is 4 a factor of 546? Calculation: False Ask: Does 8 divide 234525663? Calculation: False Ask: Is 61 a factor of 2684? Calculation: True Ask: Does 9 divide 35404946? Calculation: False Ask: Does 59 divide 1239? Calculation: True Ask: Is 31061787 even? Calculation: False Ask: Is 368 a factor of 66939936? Calculation: True Ask: Is 12 a factor of 2379672? Calculation: True Ask: Is 3225096071 a multiple of 1052? Calculation: False Ask: Does 4 divide 1620? Calculation: True Ask: Does 791 divide 2264808? Calculation: False Ask: Is 77 a factor of 31028272? Calculation: False Ask: Is 8 a factor of 373? Calculation: False Ask: Is 48 a factor of 624? Calculation: True Ask: Does 8 divide 9376795? Calculation: False Ask: Does 4 divide 158092? Calculation: True Ask: Does 4 divide 11414767? Calculation: False Ask: Is 33 a factor of 122496? Calculation: True Ask: Does 14 divide 62005328? Calculation: True Ask: Is 4923786 a multiple of 42? Calculation: True Ask: Is 889993 a multiple of 36? Calculation: False Ask: Is 40 a factor of 466388201? Calculation: False Ask: Is 829 a factor of 124141921? Calculat
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numbers: is factor ------------------ Example: Is 34429618 a multiple of 12? Compute: False Example: Does 45 divide 88173645? Compute: False Example: Does 11 divide 115? Compute: False Example: Is 109 a factor of 57152664? Compute: False Example: Is 213 a factor of 12253? Compute: False Example: Is 1712 a multiple of 107? Compute: True Example: Is 172 a factor of 2101496? Compute: True Example: Is 65 a factor of 19584804? Compute: False Example: Is 60 a factor of 968? Compute: False Example: Is 530508 a multiple of 44? Compute: True Example: Does 166 divide 7511500? Compute: True Example: Is 47 a factor of 16638? Compute: True Example: Is 830 a factor of 115496990? Compute: True Example: Is 11895380 a multiple of 2600? Compute: False Example: Is 8225 a multiple of 25? Compute: True Example: Is 789 a multiple of 31? Compute: False Example: Is 17 a factor of 6416979? Compute: False Example: Does 18 divide 40140? Compute: True Example: Is 2197 a factor of 319371299? Compute: True Example: Does 228 divide 7416156? Compute: True Example: Is 42 a factor of 634? Compute: False Example: Is 11 a factor of 6116? Compute: True Example: Does 143 divide 137639? Compute: False Example: Is 63 a factor of 9994? Compute: False Example: Is 1144413484 a multiple of 3772? Compute: True Example: Does 31 divide 76572? Compute: False Example: Is 19814460 a multiple of 116? Compute: False Example: Is 19 a factor of 131208376? Compute: True Example: Does 13 divide 28111? Compute: False Example: Does 105 divide 5880? Compute: True Example: Is 178 a factor of 1932974? Compute: False Example: Does 29 divide 406? Compute: True Example: Does 14 divide 8330? Compute: True Example: Does 14 divide 718111? Compute: False Example: Is 109 a factor of 49725388? Compute: False Example: Does 3 divide 975225? Compute: True Example: Does 6 divide 99372? Compute: True Example: Does 35 divide 299? Compute: False Example: Is 429465 a multiple of 3? Compute: True Example: Is 14 a factor of 86053938? Compute: F
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numbers: is prime ----------------- Subquestion: Is 12205829 a composite number? Sol: False Subquestion: Is 148549 prime? Sol: True Subquestion: Is 8562353 a prime number? Sol: True Subquestion: Is 3372077851 a prime number? Sol: True Subquestion: Is 431513 a composite number? Sol: False Subquestion: Is 34639396141 a prime number? Sol: False Subquestion: Is 4054295681 a prime number? Sol: False Subquestion: Is 4093051 a prime number? Sol: False Subquestion: Is 11145157645 composite? Sol: True Subquestion: Is 1240931 composite? Sol: False Subquestion: Is 34366321571 prime? Sol: True Subquestion: Is 1664501 prime? Sol: True Subquestion: Is 586 a composite number? Sol: True Subquestion: Is 3067159 a prime number? Sol: False Subquestion: Is 4866451937 composite? Sol: True Subquestion: Is 8419 prime? Sol: True Subquestion: Is 1875611 a composite number? Sol: False Subquestion: Is 762334 a composite number? Sol: True Subquestion: Is 1516149713 composite? Sol: True Subquestion: Is 353323 prime? Sol: False Subquestion: Is 4205533 a prime number? Sol: True Subquestion: Is 70289 a composite number? Sol: False Subquestion: Is 4176986389 a prime number? Sol: True Subquestion: Is 824588719 a composite number? Sol: True Subquestion: Is 20477 a composite number? Sol: False Subquestion: Is 1141184197 a prime number? Sol: True Subquestion: Is 3609527 a prime number? Sol: False Subquestion: Is 112111363187 a prime number? Sol: True Subquestion: Is 6735271 composite? Sol: False Subquestion: Is 3252094 a prime number? Sol: False Subquestion: Is 27158963789 prime? Sol: False Subquestion: Is 332707 composite? Sol: True Subquestion: Is 4712621 composite? Sol: True Subquestion: Is 19841 a composite number? Sol: False Subquestion: Is 33727273 a composite number? Sol: False Subquestion: Is 12723 composite? Sol: True Subquestion: Is 10013215637 a composite number? Sol: False Subquestion: Is 667 a prime number? Sol: False Subquestion: Is 7115 a prime number? Sol: False Subquestion: Is 32873 a
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numbers: place value -------------------- Given: What is the tens digit of 35075? Yields: 7 Given: What is the tens digit of 3466115? Yields: 1 Given: What is the thousands digit of 4201822? Yields: 1 Given: What is the hundred thousands digit of 597722? Yields: 5 Given: What is the millions digit of 95288547? Yields: 5 Given: What is the thousands digit of 4121? Yields: 4 Given: What is the units digit of 104766? Yields: 6 Given: What is the ten thousands digit of 1402277213? Yields: 7 Given: What is the thousands digit of 8515? Yields: 8 Given: What is the tens digit of 1151? Yields: 5 Given: What is the hundred thousands digit of 1076091? Yields: 0 Given: What is the hundreds digit of 1483323? Yields: 3 Given: What is the units digit of 110244? Yields: 4 Given: What is the units digit of 924555? Yields: 5 Given: What is the hundreds digit of 16214? Yields: 2 Given: What is the tens digit of 4106095864? Yields: 6 Given: What is the ten thousands digit of 46156? Yields: 4 Given: What is the thousands digit of 2970? Yields: 2 Given: What is the hundreds digit of 1463718761? Yields: 7 Given: What is the units digit of 4913439? Yields: 9 Given: What is the millions digit of 1997315? Yields: 1 Given: What is the units digit of 36422? Yields: 2 Given: What is the hundred thousands digit of 2143402? Yields: 1 Given: What is the ten thousands digit of 965898347? Yields: 9 Given: What is the hundred millions digit of 525961260? Yields: 5 Given: What is the tens digit of 824? Yields: 2 Given: What is the hundreds digit of 887? Yields: 8 Given: What is the hundreds digit of 577743? Yields: 7 Given: What is the hundreds digit of 51666? Yields: 6 Given: What is the ten thousands digit of 3128162? Yields: 2 Given: What is the thousands digit of 466514140? Yields: 4 Given: What is the hundreds digit of 833178? Yields: 1 Given: What is the hundred thousands digit of 4526348? Yields: 5 Given: What is the thousands digit of 3298350? Yields: 8 Given: What is the hundred thousands di
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numbers: is prime ----------------- Ask: Is 100805 a composite number? Response: True Ask: Is 12373 a prime number? Response: True Ask: Is 16127 a prime number? Response: True Ask: Is 5512837223 a composite number? Response: True Ask: Is 620029 prime? Response: True Ask: Is 28890321227 a composite number? Response: False Ask: Is 79481 composite? Response: False Ask: Is 2775089033 prime? Response: False Ask: Is 1041573641 a prime number? Response: True Ask: Is 938533 a prime number? Response: True Ask: Is 1407651059 a prime number? Response: True Ask: Is 18415109 a composite number? Response: True Ask: Is 1931 a composite number? Response: False Ask: Is 1643615761 prime? Response: True Ask: Is 57557 composite? Response: False Ask: Is 1788027 a composite number? Response: True Ask: Is 115307 composite? Response: True Ask: Is 201017 composite? Response: True Ask: Is 16255929 a prime number? Response: False Ask: Is 1572799 a composite number? Response: False Ask: Is 16837 a prime number? Response: False Ask: Is 24749 a composite number? Response: False Ask: Is 1245491657 composite? Response: False Ask: Is 1890677 prime? Response: True Ask: Is 328682 prime? Response: False Ask: Is 307481 prime? Response: True Ask: Is 42203 a prime number? Response: False Ask: Is 951079 composite? Response: False Ask: Is 826867 a composite number? Response: False Ask: Is 477406705 a composite number? Response: True Ask: Is 90641 a prime number? Response: True Ask: Is 794882269 composite? Response: True Ask: Is 1007081 prime? Response: True Ask: Is 18182714281 composite? Response: False Ask: Is 6307709449 composite? Response: False Ask: Is 14653567 prime? Response: False Ask: Is 197243551 composite? Response: False Ask: Is 10123 a composite number? Response: True Ask: Is 175163369 a composite number? Response: True Ask: Is 152672033 composite? Response: True Ask: Is 8447811 a prime number? Response: False Ask: Is 1278488413 a prime number? Response: False Ask: Is 159719699 a composite numb
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arithmetic: nearest integer root -------------------------------- Test item: What is the seventh root of 57667 to the nearest integer? Finding: 5 Test item: What is the cube root of 5771657 to the nearest integer? Finding: 179 Test item: What is the third root of 61182013 to the nearest integer? Finding: 394 Test item: What is the fourth root of 205165498 to the nearest integer? Finding: 120 Test item: What is 1160415041 to the power of 1/10, to the nearest integer? Finding: 8 Test item: What is the square root of 6053 to the nearest integer? Finding: 78 Test item: What is the square root of 40795 to the nearest integer? Finding: 202 Test item: What is the seventh root of 2177523687 to the nearest integer? Finding: 22 Test item: What is 19213751 to the power of 1/2, to the nearest integer? Finding: 4383 Test item: What is the square root of 958991 to the nearest integer? Finding: 979 Test item: What is 71494 to the power of 1/2, to the nearest integer? Finding: 267 Test item: What is 1408 to the power of 1/3, to the nearest integer? Finding: 11 Test item: What is the square root of 651570923 to the nearest integer? Finding: 25526 Test item: What is the cube root of 324700778 to the nearest integer? Finding: 687 Test item: What is 1056731 to the power of 1/2, to the nearest integer? Finding: 1028 Test item: What is 29136 to the power of 1/10, to the nearest integer? Finding: 3 Test item: What is the square root of 973813485 to the nearest integer? Finding: 31206 Test item: What is the seventh root of 14730002 to the nearest integer? Finding: 11 Test item: What is 1077 to the power of 1/8, to the nearest integer? Finding: 2 Test item: What is 212880585 to the power of 1/3, to the nearest integer? Finding: 597 Test item: What is 2646 to the power of 1/9, to the nearest integer? Finding: 2 Test item: What is the square root of 22867507 to the nearest integer? Finding: 4782 Test item: What is 8831027809 to the power of 1/5, to the nearest integer? Finding: 98 Test item:
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probability: swr p sequence --------------------------- Statement: Four letters picked without replacement from {w: 2, x: 3, j: 3}. What is prob of sequence jwxj? Math A: 3/140 Statement: Four letters picked without replacement from {j: 2, h: 3, f: 3, k: 9}. What is prob of sequence hkjh? Math A: 9/4760 Statement: Calculate prob of sequence esxx when four letters picked without replacement from {s: 2, x: 3, e: 4, a: 2}. Math A: 1/165 Statement: What is prob of sequence mvsh when four letters picked without replacement from {s: 1, v: 3, p: 1, b: 3, h: 5, m: 1}? Math A: 5/8008 Statement: Three letters picked without replacement from {f: 1, g: 9, r: 2, k: 3, w: 2}. Give prob of sequence kfk. Math A: 1/680 Statement: Calculate prob of sequence cy when two letters picked without replacement from cyyyyyycyjyyyyyyy. Math A: 7/68 Statement: Two letters picked without replacement from {x: 1, o: 1, t: 2, p: 7, y: 3}. Give prob of sequence yp. Math A: 3/26 Statement: What is prob of sequence wyy when three letters picked without replacement from wynwwkkyknw? Math A: 4/495 Statement: Four letters picked without replacement from {i: 5, q: 2, u: 5, a: 3}. Give prob of sequence quiu. Math A: 5/819 Statement: What is prob of sequence rrrb when four letters picked without replacement from rnrnbbrr? Math A: 1/35 Statement: Two letters picked without replacement from vvbhahhhvahvyb. What is prob of sequence yh? Math A: 5/182 Statement: Two letters picked without replacement from wjveehjeveeeeqe. What is prob of sequence wh? Math A: 1/210 Statement: Four letters picked without replacement from {m: 2, l: 2, f: 1, v: 2, r: 1}. Give prob of sequence fmvm. Math A: 1/420 Statement: Calculate prob of sequence umoo when four letters picked without replacement from qmllulmqoummqqmomo. Math A: 1/1020 Statement: What is prob of sequence noo when three letters picked without replacement from noonnn? Math A: 1/15 Statement: What is prob of sequence obb when three letters picked without replacement
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probability: swr p sequence --------------------------- Scenario: Two letters picked without replacement from apy. Give prob of sequence py. Ans: 1/6 Scenario: Two letters picked without replacement from {k: 1, x: 1, w: 2, r: 1, t: 1, b: 1}. What is prob of sequence tk? Ans: 1/42 Scenario: Three letters picked without replacement from aacaaocva. Give prob of sequence vaa. Ans: 5/126 Scenario: Calculate prob of sequence akae when four letters picked without replacement from {a: 5, i: 3, m: 1, k: 1, h: 2, e: 1}. Ans: 1/858 Scenario: What is prob of sequence jjj when three letters picked without replacement from jjcjcccjcc? Ans: 1/30 Scenario: Calculate prob of sequence ss when two letters picked without replacement from sssgssxxxxxxsx. Ans: 15/91 Scenario: Calculate prob of sequence zb when two letters picked without replacement from {b: 5, z: 6, o: 3, c: 1, i: 4, h: 1}. Ans: 3/38 Scenario: Three letters picked without replacement from {x: 3, y: 4}. What is prob of sequence xxx? Ans: 1/35 Scenario: Three letters picked without replacement from azjzzzzzzlaazjjzzzza. What is prob of sequence azj? Ans: 2/95 Scenario: What is prob of sequence mmy when three letters picked without replacement from {y: 8, m: 5}? Ans: 40/429 Scenario: Calculate prob of sequence zzz when three letters picked without replacement from {z: 9}. Ans: 1 Scenario: Two letters picked without replacement from {y: 11, a: 5}. Give prob of sequence ay. Ans: 11/48 Scenario: What is prob of sequence zfzz when four letters picked without replacement from zzzzzzzzzfzz? Ans: 1/12 Scenario: Two letters picked without replacement from {z: 1, d: 1, x: 3, w: 1, c: 1}. Give prob of sequence xw. Ans: 1/14 Scenario: Four letters picked without replacement from pqqpqp. Give prob of sequence qqpp. Ans: 1/10 Scenario: Calculate prob of sequence sgt when three letters picked without replacement from utsgegu. Ans: 1/105 Scenario: Three letters picked without replacement from blbcwlrccbcbbwcc. What is prob of sequence lwl
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numbers: div remainder ---------------------- Ask: Calculate the remainder when 162724 is divided by 2921. Result: 2069 Ask: Calculate the remainder when 427 is divided by 250. Result: 177 Ask: What is the remainder when 325 is divided by 49? Result: 31 Ask: Calculate the remainder when 110018 is divided by 317. Result: 19 Ask: Calculate the remainder when 996 is divided by 965. Result: 31 Ask: What is the remainder when 101 is divided by 34? Result: 33 Ask: Calculate the remainder when 1788 is divided by 138. Result: 132 Ask: Calculate the remainder when 169594 is divided by 56411. Result: 361 Ask: Calculate the remainder when 22324 is divided by 78. Result: 16 Ask: Calculate the remainder when 3133 is divided by 244. Result: 205 Ask: Calculate the remainder when 42996 is divided by 6. Result: 0 Ask: Calculate the remainder when 7964019 is divided by 31. Result: 26 Ask: What is the remainder when 6304 is divided by 233? Result: 13 Ask: What is the remainder when 2362173 is divided by 315? Result: 303 Ask: Calculate the remainder when 17071 is divided by 5215. Result: 1426 Ask: Calculate the remainder when 905 is divided by 17. Result: 4 Ask: Calculate the remainder when 63381 is divided by 2964. Result: 1137 Ask: Calculate the remainder when 371 is divided by 17. Result: 14 Ask: What is the remainder when 60631 is divided by 166? Result: 41 Ask: What is the remainder when 1432 is divided by 350? Result: 32 Ask: Calculate the remainder when 6896 is divided by 2283. Result: 47 Ask: What is the remainder when 180 is divided by 27? Result: 18 Ask: Calculate the remainder when 23867938 is divided by 261. Result: 10 Ask: Calculate the remainder when 669 is divided by 84. Result: 81 Ask: Calculate the remainder when 30387806 is divided by 933. Result: 929 Ask: What is the remainder when 20911 is divided by 101? Result: 4 Ask: What is the remainder when 2358 is divided by 8? Result: 6 Ask: Calculate the remainder when 2097 is divided by 7. Result: 4 Ask: What is the remain
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numbers: gcd ------------ Inquiry: What is the highest common divisor of 88 and 152? Explanation: 8 Inquiry: What is the greatest common factor of 976 and 84668? Explanation: 244 Inquiry: What is the highest common factor of 36380 and 4483580? Explanation: 340 Inquiry: What is the highest common divisor of 38 and 856621118? Explanation: 38 Inquiry: Calculate the highest common factor of 432 and 656. Explanation: 16 Inquiry: Calculate the highest common factor of 81400 and 600. Explanation: 200 Inquiry: What is the highest common divisor of 8372027 and 148? Explanation: 37 Inquiry: Calculate the greatest common divisor of 321246873 and 7101. Explanation: 2367 Inquiry: What is the highest common factor of 130 and 234? Explanation: 26 Inquiry: What is the highest common factor of 112 and 215062288? Explanation: 112 Inquiry: What is the greatest common divisor of 2968 and 45580? Explanation: 212 Inquiry: Calculate the highest common divisor of 768 and 1864452. Explanation: 12 Inquiry: What is the greatest common divisor of 12463 and 3263612? Explanation: 121 Inquiry: Calculate the highest common divisor of 2145 and 6815380. Explanation: 715 Inquiry: Calculate the greatest common divisor of 55 and 10. Explanation: 5 Inquiry: What is the greatest common factor of 16322 and 8? Explanation: 2 Inquiry: What is the highest common divisor of 714 and 253596? Explanation: 42 Inquiry: Calculate the greatest common divisor of 7 and 1631. Explanation: 7 Inquiry: Calculate the highest common factor of 75 and 2235. Explanation: 15 Inquiry: Calculate the highest common factor of 675047 and 9959. Explanation: 433 Inquiry: What is the greatest common factor of 25 and 2925? Explanation: 25 Inquiry: What is the highest common factor of 96760 and 184552? Explanation: 472 Inquiry: Calculate the greatest common factor of 148356 and 168948. Explanation: 468 Inquiry: Calculate the greatest common divisor of 636 and 986648. Explanation: 212 Inquiry: Calculate the highest common divisor of 10497
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numbers: is prime ----------------- Example: Is 4075787 a prime number? Derivation: False Example: Is 57438866227 a composite number? Derivation: False Example: Is 17236367 a composite number? Derivation: True Example: Is 29935754867 composite? Derivation: False Example: Is 810653 a composite number? Derivation: False Example: Is 15014711357 prime? Derivation: True Example: Is 1818125399 composite? Derivation: True Example: Is 4641097 a composite number? Derivation: True Example: Is 644075977 a composite number? Derivation: True Example: Is 1844957447 a composite number? Derivation: False Example: Is 2202941 composite? Derivation: True Example: Is 200117 a composite number? Derivation: False Example: Is 80815877137 a composite number? Derivation: False Example: Is 7639 a composite number? Derivation: False Example: Is 2976841639 composite? Derivation: False Example: Is 7692720199 a composite number? Derivation: False Example: Is 4313567 composite? Derivation: True Example: Is 118762417 composite? Derivation: False Example: Is 25015297 a prime number? Derivation: False Example: Is 8778113 a prime number? Derivation: False Example: Is 1601581 composite? Derivation: True Example: Is 2639561 a prime number? Derivation: True Example: Is 15837 prime? Derivation: False Example: Is 179671 prime? Derivation: True Example: Is 504356647 composite? Derivation: True Example: Is 369581 composite? Derivation: False Example: Is 1575766135 composite? Derivation: True Example: Is 8008769 a composite number? Derivation: False Example: Is 38086751909 a composite number? Derivation: False Example: Is 38326637 a prime number? Derivation: True Example: Is 10016737 composite? Derivation: False Example: Is 10160053 a prime number? Derivation: True Example: Is 1075579 composite? Derivation: True Example: Is 2052821 a prime number? Derivation: True Example: Is 41780176897 composite? Derivation: True Example: Is 119267639 a prime number? Derivation: True Example: Is 1446213997 prime? Derivatio
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numbers: is prime ----------------- Test item: Is 5707 a composite number? Solution: True Test item: Is 11549 prime? Solution: True Test item: Is 35423067 a composite number? Solution: True Test item: Is 541815727 a prime number? Solution: True Test item: Is 13607 a composite number? Solution: True Test item: Is 200463 prime? Solution: False Test item: Is 24907 a prime number? Solution: True Test item: Is 584116019 a composite number? Solution: False Test item: Is 305211 composite? Solution: True Test item: Is 9059842771 prime? Solution: False Test item: Is 71460923 a composite number? Solution: False Test item: Is 14203561 composite? Solution: True Test item: Is 30757 a composite number? Solution: False Test item: Is 1005570565 composite? Solution: True Test item: Is 333129073 a composite number? Solution: False Test item: Is 19019963393 a composite number? Solution: True Test item: Is 10589 composite? Solution: False Test item: Is 2517533167 composite? Solution: True Test item: Is 53371581 a prime number? Solution: False Test item: Is 8561287937 a composite number? Solution: False Test item: Is 8489983 a composite number? Solution: True Test item: Is 215617 a prime number? Solution: True Test item: Is 1218049 a prime number? Solution: False Test item: Is 29932776317 prime? Solution: True Test item: Is 562510279 a prime number? Solution: False Test item: Is 5647697 composite? Solution: True Test item: Is 267812099 a prime number? Solution: True Test item: Is 373133903 a composite number? Solution: False Test item: Is 53222041 a composite number? Solution: True Test item: Is 3638898631 prime? Solution: True Test item: Is 3822019 composite? Solution: True Test item: Is 389782257 a composite number? Solution: True Test item: Is 8385049 composite? Solution: False Test item: Is 2132513 prime? Solution: True Test item: Is 32341591 prime? Solution: False Test item: Is 45238973201 a prime number? Solution: False Test item: Is 6265321943 composite? Solution: False Test item
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arithmetic: nearest integer root -------------------------------- Part A: What is the third root of 33020351 to the nearest integer? Resolution: 321 Part A: What is the third root of 11033 to the nearest integer? Resolution: 22 Part A: What is 1413423626 to the power of 1/8, to the nearest integer? Resolution: 14 Part A: What is the eighth root of 1109 to the nearest integer? Resolution: 2 Part A: What is 15534 to the power of 1/6, to the nearest integer? Resolution: 5 Part A: What is the square root of 497639 to the nearest integer? Resolution: 705 Part A: What is 1162 to the power of 1/5, to the nearest integer? Resolution: 4 Part A: What is 32124624 to the power of 1/2, to the nearest integer? Resolution: 5668 Part A: What is the square root of 18381 to the nearest integer? Resolution: 136 Part A: What is the square root of 11176 to the nearest integer? Resolution: 106 Part A: What is the eighth root of 10905397 to the nearest integer? Resolution: 8 Part A: What is the cube root of 63884019 to the nearest integer? Resolution: 400 Part A: What is 1275529 to the power of 1/2, to the nearest integer? Resolution: 1129 Part A: What is the tenth root of 1854362 to the nearest integer? Resolution: 4 Part A: What is the third root of 12918 to the nearest integer? Resolution: 23 Part A: What is the seventh root of 296493803 to the nearest integer? Resolution: 16 Part A: What is 26732 to the power of 1/8, to the nearest integer? Resolution: 4 Part A: What is 1005228721 to the power of 1/2, to the nearest integer? Resolution: 31705 Part A: What is 153563 to the power of 1/2, to the nearest integer? Resolution: 392 Part A: What is 62193 to the power of 1/9, to the nearest integer? Resolution: 3 Part A: What is the cube root of 3926462 to the nearest integer? Resolution: 158 Part A: What is 207420526 to the power of 1/8, to the nearest integer? Resolution: 11 Part A: What is the cube root of 4128142 to the nearest integer? Resolution: 160 Part A: What is 1753672742 to the pow
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numbers: gcd ------------ Math Problem: What is the greatest common divisor of 10262982 and 1290? Key: 258 Math Problem: What is the greatest common divisor of 408 and 72828? Key: 204 Math Problem: Calculate the highest common factor of 4 and 28. Key: 4 Math Problem: Calculate the greatest common factor of 100 and 59789075. Key: 25 Math Problem: Calculate the greatest common factor of 4098 and 1077228966. Key: 4098 Math Problem: What is the highest common divisor of 29446525 and 5? Key: 5 Math Problem: Calculate the highest common factor of 2078391 and 3507. Key: 21 Math Problem: What is the highest common divisor of 440111 and 6587? Key: 7 Math Problem: Calculate the highest common factor of 5397393 and 464. Key: 29 Math Problem: Calculate the highest common factor of 16 and 18. Key: 2 Math Problem: What is the greatest common factor of 754169 and 13? Key: 13 Math Problem: What is the greatest common factor of 48 and 3000? Key: 24 Math Problem: Calculate the highest common divisor of 177 and 10443. Key: 177 Math Problem: Calculate the greatest common divisor of 1432 and 14499. Key: 179 Math Problem: Calculate the highest common divisor of 164 and 677436686. Key: 82 Math Problem: What is the greatest common divisor of 2850893 and 454? Key: 227 Math Problem: What is the greatest common divisor of 153 and 9? Key: 9 Math Problem: Calculate the highest common divisor of 585 and 2667990. Key: 195 Math Problem: Calculate the highest common factor of 2001 and 23973981. Key: 2001 Math Problem: Calculate the greatest common divisor of 1120 and 523168. Key: 32 Math Problem: Calculate the greatest common divisor of 6825 and 390. Key: 195 Math Problem: What is the greatest common factor of 47 and 3337? Key: 47 Math Problem: Calculate the greatest common factor of 5203 and 605. Key: 121 Math Problem: Calculate the highest common divisor of 886 and 22. Key: 2 Math Problem: What is the highest common divisor of 275 and 1675? Key: 25 Math Problem: Calculate the highest common divis
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numbers: is factor ------------------ Puzzle: Is 201076544 a multiple of 1207? Response: True Puzzle: Is 301987 a multiple of 46? Response: False Puzzle: Does 771 divide 491465092? Response: False Puzzle: Is 52 a factor of 4751421? Response: False Puzzle: Is 30 a factor of 44634? Response: False Puzzle: Is 16 a factor of 46329744? Response: True Puzzle: Is 22 a factor of 1672? Response: True Puzzle: Is 1371 a factor of 43367472? Response: True Puzzle: Is 7 a factor of 28294980? Response: True Puzzle: Is 108 a factor of 63912888? Response: True Puzzle: Is 18 a factor of 18148590? Response: True Puzzle: Is 2 a factor of 648? Response: True Puzzle: Is 957 a multiple of 33? Response: True Puzzle: Is 780095490 a multiple of 17? Response: True Puzzle: Is 378 a factor of 5808348? Response: True Puzzle: Does 9 divide 41123? Response: False Puzzle: Does 20 divide 1318? Response: False Puzzle: Is 220 a factor of 52360? Response: True Puzzle: Is 546699868 a multiple of 3128? Response: False Puzzle: Does 44 divide 58254? Response: False Puzzle: Does 326 divide 125073? Response: False Puzzle: Does 48 divide 7345632? Response: True Puzzle: Is 92377040 a multiple of 1172? Response: True Puzzle: Is 62 a factor of 683310? Response: False Puzzle: Is 179 a factor of 2364768? Response: False Puzzle: Is 43 a factor of 43926671? Response: False Puzzle: Is 23488103 a multiple of 728? Response: False Puzzle: Does 35 divide 85107506? Response: False Puzzle: Is 6054 a factor of 909631662? Response: True Puzzle: Is 880 a multiple of 11? Response: True Puzzle: Is 10276 a factor of 838488976? Response: False Puzzle: Is 290 a factor of 41306002? Response: False Puzzle: Is 467 a factor of 3521710? Response: False Puzzle: Is 2070 a factor of 16683178? Response: False Puzzle: Is 43910 a multiple of 3? Response: False Puzzle: Does 35 divide 23555? Response: True Puzzle: Is 111 a factor of 2300? Response: False Puzzle: Does 7 divide 859495? Response: True Puzzle: Is 397354948 a multiple of 19? Respon
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numbers: place value -------------------- Query: What is the units digit of 717584? →: 4 Query: What is the ten thousands digit of 975905? →: 7 Query: What is the thousands digit of 9269489? →: 9 Query: What is the thousands digit of 6658157? →: 8 Query: What is the ten thousands digit of 7075178? →: 7 Query: What is the hundreds digit of 1395158? →: 1 Query: What is the hundred thousands digit of 5174612930? →: 6 Query: What is the ten millions digit of 23278925? →: 2 Query: What is the ten thousands digit of 287993? →: 8 Query: What is the hundreds digit of 341? →: 3 Query: What is the thousands digit of 18566095? →: 6 Query: What is the millions digit of 133047274? →: 3 Query: What is the millions digit of 6975641529? →: 5 Query: What is the ten thousands digit of 4735819? →: 3 Query: What is the units digit of 717095341? →: 1 Query: What is the thousands digit of 2862? →: 2 Query: What is the ten thousands digit of 19497? →: 1 Query: What is the hundreds digit of 312653135? →: 1 Query: What is the hundreds digit of 9002? →: 0 Query: What is the thousands digit of 4708? →: 4 Query: What is the ten millions digit of 60171731? →: 6 Query: What is the hundred thousands digit of 332335762? →: 3 Query: What is the tens digit of 7979075? →: 7 Query: What is the ten thousands digit of 65569992? →: 6 Query: What is the hundred thousands digit of 840816679? →: 8 Query: What is the ten thousands digit of 291141349? →: 4 Query: What is the tens digit of 99846693? →: 9 Query: What is the hundreds digit of 400922460? →: 4 Query: What is the thousands digit of 1839? →: 1 Query: What is the thousands digit of 40555? →: 0 Query: What is the hundreds digit of 140? →: 1 Query: What is the units digit of 3915467? →: 7 Query: What is the units digit of 209573743? →: 3 Query: What is the units digit of 7430877? →: 7 Query: What is the millions digit of 82188541? →: 2 Query: What is the hundreds digit of 420212? →: 2 Query: What is the units digit of 783361759? →: 9 Query: What is the
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arithmetic: nearest integer root -------------------------------- Problem Statement: What is 6069999 to the power of 1/2, to the nearest integer? Eval: 2464 Problem Statement: What is the third root of 70102354 to the nearest integer? Eval: 412 Problem Statement: What is the eighth root of 16527 to the nearest integer? Eval: 3 Problem Statement: What is 3940403367 to the power of 1/3, to the nearest integer? Eval: 1579 Problem Statement: What is 1372 to the power of 1/6, to the nearest integer? Eval: 3 Problem Statement: What is the square root of 991 to the nearest integer? Eval: 31 Problem Statement: What is the square root of 52613718 to the nearest integer? Eval: 7254 Problem Statement: What is 34203779 to the power of 1/5, to the nearest integer? Eval: 32 Problem Statement: What is 28082067 to the power of 1/2, to the nearest integer? Eval: 5299 Problem Statement: What is the ninth root of 37087379 to the nearest integer? Eval: 7 Problem Statement: What is the seventh root of 32149 to the nearest integer? Eval: 4 Problem Statement: What is 21149 to the power of 1/8, to the nearest integer? Eval: 3 Problem Statement: What is the fourth root of 3189235 to the nearest integer? Eval: 42 Problem Statement: What is 1591144482 to the power of 1/3, to the nearest integer? Eval: 1167 Problem Statement: What is the square root of 643103887 to the nearest integer? Eval: 25359 Problem Statement: What is the square root of 20674984 to the nearest integer? Eval: 4547 Problem Statement: What is the third root of 105771 to the nearest integer? Eval: 47 Problem Statement: What is the third root of 418742803 to the nearest integer? Eval: 748 Problem Statement: What is 1050340 to the power of 1/3, to the nearest integer? Eval: 102 Problem Statement: What is 2773 to the power of 1/8, to the nearest integer? Eval: 3 Problem Statement: What is the square root of 4283 to the nearest integer? Eval: 65 Problem Statement: What is the square root of 5228067 to the nearest integer? Eval:
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numbers: is factor ------------------ Given: Does 292 divide 31438180? Explanation: True Given: Is 17 a factor of 22605? Explanation: False Given: Is 32 a factor of 17028? Explanation: False Given: Is 323 a factor of 444244? Explanation: False Given: Does 22 divide 128814? Explanation: False Given: Is 33766737 a multiple of 23? Explanation: True Given: Is 9 a factor of 168779709? Explanation: True Given: Does 410 divide 61515990? Explanation: True Given: Is 2895336569 a multiple of 417? Explanation: False Given: Does 131 divide 1978891? Explanation: False Given: Is 80 a factor of 4281386? Explanation: False Given: Is 106 a factor of 240551736? Explanation: True Given: Does 37 divide 17982? Explanation: True Given: Is 180 a factor of 1114415? Explanation: False Given: Is 4404 a multiple of 3? Explanation: True Given: Is 409 a factor of 788074? Explanation: False Given: Is 526283 a multiple of 4? Explanation: False Given: Is 248 a factor of 63910592? Explanation: True Given: Is 397 a factor of 9230272? Explanation: False Given: Is 669256 a multiple of 74? Explanation: True Given: Does 24 divide 426? Explanation: False Given: Is 580 a factor of 1234820? Explanation: True Given: Does 128 divide 17536? Explanation: True Given: Is 37 a factor of 159402? Explanation: False Given: Does 1259 divide 1338670? Explanation: False Given: Is 94 a factor of 2726? Explanation: True Given: Does 6 divide 8548? Explanation: False Given: Is 116 a factor of 127484? Explanation: True Given: Does 104 divide 63544? Explanation: True Given: Does 130 divide 148340140? Explanation: True Given: Is 20 a factor of 9599120? Explanation: True Given: Is 98 a factor of 109613567? Explanation: False Given: Is 38 a factor of 351831322? Explanation: True Given: Is 9 a factor of 198? Explanation: True Given: Does 17 divide 7751392? Explanation: False Given: Is 10 a factor of 245834908? Explanation: False Given: Is 9415436 a multiple of 20? Explanation: False Given: Does 56 divide 767872? Explanation: Tru
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numbers: is prime ----------------- Let: Is 2532637 a prime number? Solution: True Let: Is 586139 a prime number? Solution: True Let: Is 23256207983 a prime number? Solution: True Let: Is 31849742011 a composite number? Solution: False Let: Is 2903161 prime? Solution: False Let: Is 12868242143 prime? Solution: True Let: Is 61331 composite? Solution: False Let: Is 228967 composite? Solution: True Let: Is 116293 a prime number? Solution: True Let: Is 17785337 a composite number? Solution: True Let: Is 1605641711 composite? Solution: True Let: Is 32819087 composite? Solution: True Let: Is 1318481 a prime number? Solution: False Let: Is 311373047 composite? Solution: False Let: Is 4267 composite? Solution: True Let: Is 82929823 prime? Solution: False Let: Is 3107563 composite? Solution: True Let: Is 68215063 composite? Solution: True Let: Is 17931666647 prime? Solution: True Let: Is 21139 a composite number? Solution: False Let: Is 16190189 a prime number? Solution: False Let: Is 311503 prime? Solution: False Let: Is 6809063 composite? Solution: False Let: Is 785469 prime? Solution: False Let: Is 697141 a prime number? Solution: True Let: Is 16517 prime? Solution: False Let: Is 9561 composite? Solution: True Let: Is 4571035627 prime? Solution: True Let: Is 12569819 a composite number? Solution: True Let: Is 81461551 composite? Solution: True Let: Is 4995581 prime? Solution: True Let: Is 166633079 a prime number? Solution: True Let: Is 275479 a composite number? Solution: True Let: Is 14107 composite? Solution: False Let: Is 1050366847 a composite number? Solution: True Let: Is 1030305337 a composite number? Solution: False Let: Is 1179036791 a composite number? Solution: True Let: Is 168427 a prime number? Solution: False Let: Is 4883831 a composite number? Solution: True Let: Is 4043544311 prime? Solution: False Let: Is 3017 prime? Solution: False Let: Is 27731 a prime number? Solution: False Let: Is 629800693 composite? Solution: True Let: Is 556147 a composite number
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probability: swr p level set ---------------------------- Prompt: What is prob of picking 2 k when two letters picked without replacement from kkmmmmww? Soln: 1/28 Prompt: Calculate prob of picking 4 f when four letters picked without replacement from {z: 7, f: 6}. Soln: 3/143 Prompt: Three letters picked without replacement from {o: 1, z: 3, j: 5, v: 3, y: 4, f: 1}. What is prob of picking 3 z? Soln: 1/680 Prompt: Calculate prob of picking 2 f and 2 v when four letters picked without replacement from fxxfxvxv. Soln: 1/70 Prompt: Two letters picked without replacement from vpppppppppvppppppp. Give prob of picking 1 v and 1 p. Soln: 32/153 Prompt: Three letters picked without replacement from {s: 1, l: 7, c: 1, h: 5, j: 1, a: 2}. Give prob of picking 1 j, 1 s, and 1 l. Soln: 7/680 Prompt: Calculate prob of picking 4 v when four letters picked without replacement from rvvrvv. Soln: 1/15 Prompt: Calculate prob of picking 1 o, 1 r, and 1 l when three letters picked without replacement from {x: 1, o: 1, l: 3, r: 12, f: 1, h: 1}. Soln: 12/323 Prompt: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {c: 10, n: 3, s: 4, g: 3}. Soln: 4/19 Prompt: What is prob of picking 1 v, 2 x, and 1 h when four letters picked without replacement from vvxxohx? Soln: 6/35 Prompt: What is prob of picking 2 l when two letters picked without replacement from llkkkk? Soln: 1/15 Prompt: Four letters picked without replacement from {a: 2, n: 7}. Give prob of picking 1 a and 3 n. Soln: 5/9 Prompt: Three letters picked without replacement from {o: 1, d: 1, l: 1, m: 2}. What is prob of picking 1 m, 1 l, and 1 d? Soln: 1/5 Prompt: What is prob of picking 1 p and 1 b when two letters picked without replacement from vnbvbppppvv? Soln: 8/55 Prompt: Three letters picked without replacement from heefeeeefeefhee. Give prob of picking 3 f. Soln: 1/455 Prompt: What is prob of picking 1 g and 1 u when two letters picked without replacement from oougeuqre? Soln: 1/18 Promp
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probability: swr p level set ---------------------------- Input: What is prob of picking 3 v and 1 j when four letters picked without replacement from {v: 10, j: 9}? Therefore: 90/323 Input: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from ffszffssswazfffss. Therefore: 21/680 Input: Two letters picked without replacement from attktuttqktkxuu. Give prob of picking 1 x and 1 t. Therefore: 2/35 Input: Three letters picked without replacement from {i: 3, l: 3, j: 5}. Give prob of picking 1 i and 2 l. Therefore: 3/55 Input: What is prob of picking 1 n and 1 w when two letters picked without replacement from nwxnxnwwwwwxwxwnw? Therefore: 9/34 Input: Three letters picked without replacement from uubuubuuubububbbuqqu. What is prob of picking 1 u, 1 q, and 1 b? Therefore: 77/570 Input: Two letters picked without replacement from {q: 2, a: 5}. Give prob of picking 2 q. Therefore: 1/21 Input: Four letters picked without replacement from eemeeeeceemeceeeeeec. Give prob of picking 3 c and 1 m. Therefore: 2/4845 Input: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from rarrrrarrrrrhrrrr. Therefore: 1/68 Input: Four letters picked without replacement from lllbllll. Give prob of picking 2 l and 2 b. Therefore: 0 Input: Two letters picked without replacement from dzvddxxdz. What is prob of picking 2 d? Therefore: 1/6 Input: Four letters picked without replacement from {i: 2, a: 4, f: 8, r: 2}. What is prob of picking 2 i, 1 r, and 1 f? Therefore: 4/455 Input: What is prob of picking 3 g and 1 b when four letters picked without replacement from {f: 1, b: 2, o: 1, g: 8, a: 7}? Therefore: 28/969 Input: What is prob of picking 2 b when two letters picked without replacement from pbbbvbbpvpbb? Therefore: 7/22 Input: Four letters picked without replacement from {l: 3, x: 3, n: 1, v: 1, z: 1, f: 2}. Give prob of picking 2 l, 1 v, and 1 x. Therefore: 3/110 Input: Four letters picked without replacement from ttjjeemb
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probability: swr p level set ---------------------------- Subquestion: Three letters picked without replacement from {y: 1, v: 3, w: 1, x: 1, k: 1}. What is prob of picking 1 k, 1 y, and 1 w? Steps: 1/35 Subquestion: Three letters picked without replacement from xggxxxxexegwxxgg. What is prob of picking 1 g, 1 e, and 1 w? Steps: 1/56 Subquestion: What is prob of picking 1 v and 1 e when two letters picked without replacement from {v: 5, w: 2, j: 3, e: 2}? Steps: 5/33 Subquestion: What is prob of picking 2 x and 1 a when three letters picked without replacement from {x: 13, a: 3}? Steps: 117/280 Subquestion: Two letters picked without replacement from {o: 15, k: 3}. Give prob of picking 2 k. Steps: 1/51 Subquestion: Three letters picked without replacement from jnjgznvnzzjjjj. What is prob of picking 1 j and 2 z? Steps: 9/182 Subquestion: Four letters picked without replacement from {w: 2, s: 1, l: 2, u: 6, m: 3, a: 1}. What is prob of picking 1 u, 2 l, and 1 m? Steps: 6/455 Subquestion: Two letters picked without replacement from {p: 10, k: 5, x: 3, m: 2}. Give prob of picking 2 k. Steps: 1/19 Subquestion: Three letters picked without replacement from {e: 1, m: 5, g: 2, v: 1, j: 1}. Give prob of picking 1 m and 2 g. Steps: 1/24 Subquestion: Three letters picked without replacement from {k: 18, r: 2}. Give prob of picking 2 r and 1 k. Steps: 3/190 Subquestion: Calculate prob of picking 1 f and 3 b when four letters picked without replacement from {b: 10, f: 2}. Steps: 16/33 Subquestion: What is prob of picking 2 t when two letters picked without replacement from nnnttttttttntnttttn? Steps: 26/57 Subquestion: What is prob of picking 3 m and 1 l when four letters picked without replacement from mmmjmqqmmlmmqqm? Steps: 4/65 Subquestion: What is prob of picking 3 y when three letters picked without replacement from yyyyynyyynywwywnyy? Steps: 55/204 Subquestion: Calculate prob of picking 2 c, 1 y, and 1 k when four letters picked without replacement from lclkclclyl. Steps
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numbers: is factor ------------------ Given: Does 866 divide 1149602010? Resolution: True Given: Is 6 a factor of 1241118? Resolution: True Given: Does 78 divide 892? Resolution: False Given: Does 46 divide 372? Resolution: False Given: Is 30109164 a multiple of 4? Resolution: True Given: Is 1944272463 a multiple of 1293? Resolution: True Given: Does 60 divide 111052620? Resolution: True Given: Is 69 a factor of 4485? Resolution: True Given: Is 9 a factor of 1638? Resolution: True Given: Is 4973568 a multiple of 1024? Resolution: True Given: Is 5780 a multiple of 340? Resolution: True Given: Is 16906 a multiple of 46? Resolution: False Given: Is 11 a factor of 332162? Resolution: False Given: Is 1800 a multiple of 4? Resolution: True Given: Is 88994069 a multiple of 29? Resolution: True Given: Is 2 a factor of 109167? Resolution: False Given: Does 28 divide 543480? Resolution: True Given: Is 75201393 a multiple of 17? Resolution: False Given: Is 7 a factor of 104240? Resolution: False Given: Does 104 divide 20116? Resolution: False Given: Is 1066861286 a multiple of 673? Resolution: False Given: Is 30 a factor of 6251467? Resolution: False Given: Does 56 divide 168? Resolution: True Given: Is 21 a factor of 1997? Resolution: False Given: Is 107589 a multiple of 71? Resolution: False Given: Is 12480 a multiple of 60? Resolution: True Given: Does 79 divide 1401065079? Resolution: True Given: Is 8092 a factor of 899949695? Resolution: False Given: Does 64 divide 1792? Resolution: True Given: Is 158985 a multiple of 3? Resolution: True Given: Is 60 a factor of 5318700? Resolution: True Given: Is 284 a factor of 199762931? Resolution: False Given: Is 454 a factor of 322599234? Resolution: True Given: Does 14 divide 23912? Resolution: True Given: Is 94 a factor of 164197038? Resolution: True Given: Does 38 divide 76? Resolution: True Given: Is 5990504 a multiple of 24? Resolution: False Given: Is 30 a factor of 16646460? Resolution: True Given: Does 656 divide 188903064?
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numbers: is factor ------------------ Example: Does 28 divide 46234? Therefore: False Example: Does 57 divide 39696738? Therefore: True Example: Is 45210096 a multiple of 253? Therefore: False Example: Is 19058890 a multiple of 111? Therefore: False Example: Is 10015577 a multiple of 194? Therefore: False Example: Is 76 a factor of 59482? Therefore: False Example: Is 8 a factor of 5300? Therefore: False Example: Is 230 a multiple of 2? Therefore: True Example: Is 11 a factor of 731898? Therefore: False Example: Does 243 divide 2428183? Therefore: False Example: Does 270 divide 10209780? Therefore: True Example: Does 176 divide 441232? Therefore: True Example: Is 1411 a factor of 4805391? Therefore: False Example: Is 878 a factor of 488479690? Therefore: True Example: Does 15 divide 202678? Therefore: False Example: Is 5 a factor of 2462? Therefore: False Example: Is 348684 a multiple of 21? Therefore: True Example: Is 2 a factor of 102? Therefore: True Example: Does 4 divide 182? Therefore: False Example: Does 1191 divide 2583962634? Therefore: True Example: Is 199 a factor of 5755082? Therefore: False Example: Is 1438311999 a multiple of 79? Therefore: True Example: Is 6762 a multiple of 42? Therefore: True Example: Is 138 a factor of 16560? Therefore: True Example: Is 33 a factor of 14091? Therefore: True Example: Is 46726156 a multiple of 23? Therefore: True Example: Is 3582648 a multiple of 746? Therefore: False Example: Is 517407 a multiple of 6? Therefore: False Example: Is 12 a factor of 348? Therefore: True Example: Does 54 divide 766680? Therefore: False Example: Does 6 divide 55347552? Therefore: True Example: Does 46 divide 6565? Therefore: False Example: Does 15 divide 695054772? Therefore: False Example: Is 393 a multiple of 2? Therefore: False Example: Is 561041 a multiple of 25? Therefore: False Example: Is 22 a factor of 1016850542? Therefore: False Example: Does 36 divide 27870311? Therefore: False Example: Does 34 divide 2210? Therefore: True Examp
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numbers: div remainder ---------------------- Subject: Calculate the remainder when 76581 is divided by 19. Workthrough: 11 Subject: What is the remainder when 110 is divided by 39? Workthrough: 32 Subject: Calculate the remainder when 249 is divided by 69. Workthrough: 42 Subject: Calculate the remainder when 379569 is divided by 2652. Workthrough: 333 Subject: Calculate the remainder when 46527 is divided by 165. Workthrough: 162 Subject: Calculate the remainder when 89 is divided by 1. Workthrough: 0 Subject: What is the remainder when 91 is divided by 38? Workthrough: 15 Subject: Calculate the remainder when 13705 is divided by 298. Workthrough: 295 Subject: What is the remainder when 32175085 is divided by 16087530? Workthrough: 25 Subject: What is the remainder when 442697 is divided by 76? Workthrough: 73 Subject: What is the remainder when 26 is divided by 7? Workthrough: 5 Subject: What is the remainder when 1448 is divided by 13? Workthrough: 5 Subject: Calculate the remainder when 89055 is divided by 736. Workthrough: 735 Subject: What is the remainder when 43756068 is divided by 10939012? Workthrough: 20 Subject: Calculate the remainder when 90 is divided by 4. Workthrough: 2 Subject: What is the remainder when 253 is divided by 17? Workthrough: 15 Subject: Calculate the remainder when 260 is divided by 65. Workthrough: 0 Subject: Calculate the remainder when 8392 is divided by 39. Workthrough: 7 Subject: What is the remainder when 481 is divided by 24? Workthrough: 1 Subject: Calculate the remainder when 122325 is divided by 4368. Workthrough: 21 Subject: Calculate the remainder when 6047 is divided by 2347. Workthrough: 1353 Subject: Calculate the remainder when 450797 is divided by 16. Workthrough: 13 Subject: What is the remainder when 3896185 is divided by 3896147? Workthrough: 38 Subject: What is the remainder when 559 is divided by 83? Workthrough: 61 Subject: What is the remainder when 987583749 is divided by 387? Workthrough: 384 Subject: What i
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numbers: place value -------------------- Let: What is the thousands digit of 9610? A: 9 Let: What is the millions digit of 262088761? A: 2 Let: What is the thousands digit of 43906185? A: 6 Let: What is the millions digit of 57912653? A: 7 Let: What is the tens digit of 34853? A: 5 Let: What is the millions digit of 298588986? A: 8 Let: What is the thousands digit of 810724? A: 0 Let: What is the ten thousands digit of 3006295? A: 0 Let: What is the ten thousands digit of 123272123? A: 7 Let: What is the ten thousands digit of 24910? A: 2 Let: What is the ten thousands digit of 129928? A: 2 Let: What is the ten thousands digit of 1912888146? A: 8 Let: What is the thousands digit of 2422517? A: 2 Let: What is the thousands digit of 82792546? A: 2 Let: What is the tens digit of 24465368? A: 6 Let: What is the tens digit of 1812997451? A: 5 Let: What is the hundreds digit of 572626568? A: 5 Let: What is the units digit of 121472276? A: 6 Let: What is the tens digit of 281610? A: 1 Let: What is the thousands digit of 9066? A: 9 Let: What is the hundred thousands digit of 7658859? A: 6 Let: What is the units digit of 533459? A: 9 Let: What is the thousands digit of 145969? A: 5 Let: What is the units digit of 3589? A: 9 Let: What is the ten thousands digit of 257049? A: 5 Let: What is the tens digit of 44343182? A: 8 Let: What is the tens digit of 23275679? A: 7 Let: What is the hundreds digit of 798? A: 7 Let: What is the tens digit of 15431? A: 3 Let: What is the units digit of 6133? A: 3 Let: What is the thousands digit of 100557? A: 0 Let: What is the ten thousands digit of 30122? A: 3 Let: What is the ten thousands digit of 191027830? A: 2 Let: What is the hundreds digit of 385? A: 3 Let: What is the tens digit of 2469? A: 6 Let: What is the ten thousands digit of 413424510? A: 2 Let: What is the thousands digit of 211557? A: 1 Let: What is the tens digit of 1973945743? A: 4 Let: What is the units digit of 6090627537? A: 7 Let: What is the tens digit of 9582796? A:
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probability: swr p sequence --------------------------- Given: Four letters picked without replacement from {s: 9, j: 10}. What is prob of sequence sjss? Fix: 35/646 Given: Calculate prob of sequence ll when two letters picked without replacement from juvluuvjivlvujbvlvu. Fix: 1/57 Given: Three letters picked without replacement from aaagjaaaajgjj. Give prob of sequence aja. Fix: 14/143 Given: Four letters picked without replacement from {d: 1, n: 1, q: 1, p: 1, l: 1, s: 6}. What is prob of sequence dsls? Fix: 1/264 Given: Four letters picked without replacement from {p: 5, e: 1, m: 2, f: 1, a: 3}. Give prob of sequence pmaa. Fix: 1/198 Given: Calculate prob of sequence uun when three letters picked without replacement from {u: 6, d: 5, n: 2}. Fix: 5/143 Given: Three letters picked without replacement from tbttbtt. What is prob of sequence btb? Fix: 1/21 Given: Three letters picked without replacement from lllfllllllll. Give prob of sequence lfl. Fix: 1/12 Given: Two letters picked without replacement from ffdifdmamf. What is prob of sequence ff? Fix: 2/15 Given: What is prob of sequence bceb when four letters picked without replacement from ccwbbebwebwbbewwb? Fix: 3/680 Given: Three letters picked without replacement from biizncibubbi. What is prob of sequence bin? Fix: 2/165 Given: What is prob of sequence rddg when four letters picked without replacement from {r: 8, d: 3, g: 7}? Fix: 7/1530 Given: Three letters picked without replacement from {d: 2, j: 1, v: 1}. What is prob of sequence ddd? Fix: 0 Given: Three letters picked without replacement from {u: 4, n: 2}. Give prob of sequence nnu. Fix: 1/15 Given: Four letters picked without replacement from hhqsqhqhqshqqsh. Give prob of sequence sshs. Fix: 1/910 Given: Four letters picked without replacement from {z: 6}. Give prob of sequence zzzz. Fix: 1 Given: Calculate prob of sequence vqv when three letters picked without replacement from {x: 6, q: 3, v: 4}. Fix: 3/143 Given: Two letters picked without replacement
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numbers: place value -------------------- Given: What is the units digit of 9646? Yields: 6 Given: What is the tens digit of 16115? Yields: 1 Given: What is the tens digit of 2352? Yields: 5 Given: What is the millions digit of 357105134? Yields: 7 Given: What is the thousands digit of 76277? Yields: 6 Given: What is the units digit of 81640010? Yields: 0 Given: What is the millions digit of 4319333? Yields: 4 Given: What is the hundred millions digit of 119545335? Yields: 1 Given: What is the ten thousands digit of 36546? Yields: 3 Given: What is the thousands digit of 123879314? Yields: 9 Given: What is the units digit of 234662? Yields: 2 Given: What is the units digit of 129100? Yields: 0 Given: What is the hundred thousands digit of 157949? Yields: 1 Given: What is the hundreds digit of 3171897? Yields: 8 Given: What is the thousands digit of 39630? Yields: 9 Given: What is the thousands digit of 1384? Yields: 1 Given: What is the tens digit of 190432648? Yields: 4 Given: What is the thousands digit of 92462? Yields: 2 Given: What is the ten thousands digit of 1496147? Yields: 9 Given: What is the ten thousands digit of 2547203? Yields: 4 Given: What is the tens digit of 34806? Yields: 0 Given: What is the tens digit of 3737213? Yields: 1 Given: What is the tens digit of 7123540? Yields: 4 Given: What is the tens digit of 2161899? Yields: 9 Given: What is the thousands digit of 2846663023? Yields: 3 Given: What is the thousands digit of 34942? Yields: 4 Given: What is the hundreds digit of 1736705246? Yields: 2 Given: What is the hundreds digit of 72571636? Yields: 6 Given: What is the millions digit of 6262748? Yields: 6 Given: What is the tens digit of 24651? Yields: 5 Given: What is the hundred thousands digit of 8562013? Yields: 5 Given: What is the thousands digit of 2954? Yields: 2 Given: What is the ten millions digit of 13776887? Yields: 1 Given: What is the thousands digit of 21829406? Yields: 9 Given: What is the units digit of 13203? Yields: 3 Given:
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numbers: place value -------------------- Problem: What is the units digit of 8162674? Explanation: 4 Problem: What is the ten thousands digit of 239985? Explanation: 3 Problem: What is the ten millions digit of 298014878? Explanation: 9 Problem: What is the tens digit of 9854? Explanation: 5 Problem: What is the hundreds digit of 201279? Explanation: 2 Problem: What is the ten thousands digit of 13122657? Explanation: 2 Problem: What is the units digit of 27458147? Explanation: 7 Problem: What is the ten thousands digit of 4195009? Explanation: 9 Problem: What is the thousands digit of 4398374? Explanation: 8 Problem: What is the millions digit of 390043404? Explanation: 0 Problem: What is the hundreds digit of 562870? Explanation: 8 Problem: What is the units digit of 11202? Explanation: 2 Problem: What is the billions digit of 4122986564? Explanation: 4 Problem: What is the ten millions digit of 32157918? Explanation: 3 Problem: What is the units digit of 295501? Explanation: 1 Problem: What is the units digit of 134104? Explanation: 4 Problem: What is the thousands digit of 1940419? Explanation: 0 Problem: What is the ten thousands digit of 58630666? Explanation: 3 Problem: What is the millions digit of 3575697473? Explanation: 5 Problem: What is the tens digit of 49925? Explanation: 2 Problem: What is the thousands digit of 1498528? Explanation: 8 Problem: What is the thousands digit of 1911310331? Explanation: 0 Problem: What is the ten thousands digit of 4723256? Explanation: 2 Problem: What is the thousands digit of 3231? Explanation: 3 Problem: What is the millions digit of 140624585? Explanation: 0 Problem: What is the hundreds digit of 4490314391? Explanation: 3 Problem: What is the hundreds digit of 2336582513? Explanation: 5 Problem: What is the ten millions digit of 242162318? Explanation: 4 Problem: What is the millions digit of 13037768? Explanation: 3 Problem: What is the hundred millions digit of 151758320? Explanation: 1 Problem: What is the units
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numbers: is prime ----------------- Problem: Is 1230329 prime? Fix: True Problem: Is 1469509 a prime number? Fix: True Problem: Is 88427220989 a composite number? Fix: False Problem: Is 2696047 a prime number? Fix: False Problem: Is 30777323 prime? Fix: False Problem: Is 191393509 prime? Fix: False Problem: Is 120509513 a prime number? Fix: True Problem: Is 33729916171 prime? Fix: False Problem: Is 10494612103 a composite number? Fix: False Problem: Is 14519 a prime number? Fix: True Problem: Is 11062324739 a prime number? Fix: True Problem: Is 148663 prime? Fix: True Problem: Is 848107 a prime number? Fix: False Problem: Is 405295103 composite? Fix: False Problem: Is 47189 a composite number? Fix: False Problem: Is 1814 a prime number? Fix: False Problem: Is 6904483549 prime? Fix: False Problem: Is 371737 composite? Fix: False Problem: Is 32735 a prime number? Fix: False Problem: Is 18527 composite? Fix: True Problem: Is 18219266653 prime? Fix: False Problem: Is 28337269 composite? Fix: True Problem: Is 4717 a prime number? Fix: False Problem: Is 1209251 a composite number? Fix: False Problem: Is 7073 a composite number? Fix: True Problem: Is 62849 composite? Fix: True Problem: Is 42551 a prime number? Fix: False Problem: Is 5478030035 composite? Fix: True Problem: Is 127154 a prime number? Fix: False Problem: Is 32725621 a composite number? Fix: False Problem: Is 36589 composite? Fix: True Problem: Is 63883 prime? Fix: False Problem: Is 80251531 composite? Fix: True Problem: Is 3667342037 a composite number? Fix: False Problem: Is 11447089 composite? Fix: False Problem: Is 1152720931 prime? Fix: False Problem: Is 131228641 composite? Fix: False Problem: Is 29303 a prime number? Fix: True Problem: Is 5131757 a prime number? Fix: True Problem: Is 15943 composite? Fix: True Problem: Is 40372099 a prime number? Fix: False Problem: Is 174080798105 prime? Fix: False Problem: Is 1673627 a prime number? Fix: True Problem: Is 13253 a prime number? Fix: False Problem: Is 18
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numbers: gcd ------------ Ask: What is the highest common divisor of 17658 and 162? Sol: 162 Ask: Calculate the highest common factor of 357 and 14943. Sol: 51 Ask: Calculate the highest common divisor of 23474 and 104954. Sol: 194 Ask: Calculate the highest common factor of 22425 and 255622. Sol: 23 Ask: Calculate the greatest common factor of 4118 and 1102. Sol: 58 Ask: Calculate the highest common factor of 15372 and 244. Sol: 244 Ask: What is the greatest common factor of 27372 and 170520717? Sol: 6843 Ask: Calculate the highest common factor of 21 and 469. Sol: 7 Ask: What is the highest common factor of 9 and 4001805? Sol: 9 Ask: Calculate the highest common factor of 17820 and 110. Sol: 110 Ask: Calculate the highest common factor of 153 and 205921. Sol: 17 Ask: Calculate the greatest common factor of 550 and 204320. Sol: 10 Ask: Calculate the highest common divisor of 20670 and 2730. Sol: 390 Ask: Calculate the greatest common factor of 629342273 and 7. Sol: 7 Ask: Calculate the greatest common divisor of 525 and 3463131. Sol: 21 Ask: What is the greatest common factor of 4 and 2956? Sol: 4 Ask: What is the greatest common divisor of 6238 and 5? Sol: 1 Ask: What is the greatest common factor of 817 and 171? Sol: 19 Ask: Calculate the highest common factor of 75 and 25. Sol: 25 Ask: What is the highest common factor of 139880 and 106665? Sol: 65 Ask: What is the highest common divisor of 3381 and 873747? Sol: 483 Ask: Calculate the highest common divisor of 569171 and 74. Sol: 37 Ask: What is the greatest common divisor of 92 and 3841? Sol: 23 Ask: Calculate the highest common divisor of 1022 and 313462. Sol: 146 Ask: What is the greatest common factor of 255 and 441600? Sol: 15 Ask: Calculate the highest common factor of 24 and 3144. Sol: 24 Ask: Calculate the greatest common factor of 185958 and 14. Sol: 2 Ask: What is the highest common factor of 225338820 and 1050? Sol: 210 Ask: What is the highest common factor of 1355 and 284821? Sol: 271 Ask: Calculate
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numbers: is prime ----------------- Step: Is 4449685 composite? Calculation: True Step: Is 2287 a prime number? Calculation: True Step: Is 248293218827 composite? Calculation: True Step: Is 327937 composite? Calculation: True Step: Is 3223886431 a prime number? Calculation: False Step: Is 18451133 a composite number? Calculation: False Step: Is 353459833 prime? Calculation: False Step: Is 3951179261 a prime number? Calculation: True Step: Is 6226603219 composite? Calculation: True Step: Is 1395263 a composite number? Calculation: False Step: Is 1408763 a composite number? Calculation: False Step: Is 136606007 a composite number? Calculation: False Step: Is 921848573 prime? Calculation: False Step: Is 3643031 prime? Calculation: False Step: Is 55761 a prime number? Calculation: False Step: Is 77708224141 a prime number? Calculation: True Step: Is 150036289069 a prime number? Calculation: False Step: Is 8860429 prime? Calculation: True Step: Is 11405 composite? Calculation: True Step: Is 4878624763 prime? Calculation: True Step: Is 5959721 a composite number? Calculation: False Step: Is 316489 composite? Calculation: True Step: Is 69539 composite? Calculation: False Step: Is 50058937 composite? Calculation: True Step: Is 103283 a prime number? Calculation: False Step: Is 133945333 composite? Calculation: False Step: Is 6743 a prime number? Calculation: False Step: Is 2846 prime? Calculation: False Step: Is 2346699067 a composite number? Calculation: True Step: Is 417836417 a prime number? Calculation: True Step: Is 123663 composite? Calculation: True Step: Is 7304483 prime? Calculation: True Step: Is 9574 prime? Calculation: False Step: Is 3235543853 a prime number? Calculation: False Step: Is 233848067963 a composite number? Calculation: False Step: Is 33892078309 prime? Calculation: True Step: Is 54466849 a prime number? Calculation: False Step: Is 1082 a prime number? Calculation: False Step: Is 3949733 a composite number? Calculation: False Step: Is 73842659857 co
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numbers: gcd ------------ Puzzle: Calculate the highest common factor of 475 and 60. Math A: 5 Puzzle: What is the highest common factor of 38 and 589? Math A: 19 Puzzle: What is the highest common divisor of 65 and 3185? Math A: 65 Puzzle: Calculate the greatest common divisor of 239583 and 13. Math A: 1 Puzzle: What is the greatest common divisor of 4914 and 1326? Math A: 78 Puzzle: Calculate the highest common factor of 5 and 465. Math A: 5 Puzzle: What is the greatest common factor of 7 and 2653? Math A: 7 Puzzle: Calculate the greatest common divisor of 698705 and 35. Math A: 35 Puzzle: What is the greatest common factor of 24360 and 68730? Math A: 870 Puzzle: Calculate the greatest common factor of 330 and 297. Math A: 33 Puzzle: What is the highest common divisor of 5811 and 106386? Math A: 447 Puzzle: Calculate the highest common factor of 248838 and 268. Math A: 134 Puzzle: Calculate the highest common factor of 259390 and 60. Math A: 10 Puzzle: What is the highest common divisor of 657246 and 2904? Math A: 6 Puzzle: Calculate the greatest common divisor of 1080 and 6291. Math A: 27 Puzzle: Calculate the greatest common divisor of 32 and 9248. Math A: 32 Puzzle: What is the highest common factor of 793870 and 1691690? Math A: 770 Puzzle: Calculate the highest common divisor of 6292482 and 18258. Math A: 102 Puzzle: Calculate the greatest common factor of 734962 and 57494. Math A: 178 Puzzle: What is the greatest common factor of 10976 and 451136? Math A: 224 Puzzle: Calculate the highest common divisor of 82 and 1107. Math A: 41 Puzzle: Calculate the highest common divisor of 1000 and 40. Math A: 40 Puzzle: What is the highest common divisor of 3126867810 and 11? Math A: 11 Puzzle: Calculate the greatest common factor of 671 and 8174. Math A: 61 Puzzle: What is the highest common divisor of 26600 and 326711175? Math A: 3325 Puzzle: Calculate the greatest common divisor of 742 and 5088. Math A: 106 Puzzle: Calculate the greatest common factor of 146 and 219.
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numbers: gcd ------------ Ask: What is the highest common factor of 78 and 171644772? Fix: 78 Ask: What is the highest common factor of 319 and 51304? Fix: 11 Ask: What is the greatest common divisor of 1737 and 144? Fix: 9 Ask: Calculate the highest common divisor of 7244076 and 420. Fix: 84 Ask: Calculate the greatest common factor of 448 and 12512. Fix: 32 Ask: What is the highest common divisor of 148 and 5069? Fix: 37 Ask: Calculate the greatest common divisor of 20 and 45. Fix: 5 Ask: Calculate the greatest common factor of 5 and 205. Fix: 5 Ask: Calculate the greatest common divisor of 52 and 4. Fix: 4 Ask: What is the highest common factor of 1542 and 1407332? Fix: 514 Ask: Calculate the greatest common factor of 2403 and 162. Fix: 27 Ask: Calculate the highest common divisor of 14700 and 616291620. Fix: 2940 Ask: What is the highest common divisor of 9115 and 883015625? Fix: 9115 Ask: Calculate the greatest common factor of 10261 and 1330951. Fix: 331 Ask: Calculate the greatest common factor of 1386 and 5662503. Fix: 693 Ask: Calculate the greatest common divisor of 664 and 16. Fix: 8 Ask: What is the greatest common factor of 224 and 5110? Fix: 14 Ask: Calculate the greatest common divisor of 2824 and 12456. Fix: 8 Ask: What is the highest common divisor of 14964 and 478332? Fix: 516 Ask: What is the highest common factor of 30659538 and 1092? Fix: 546 Ask: What is the greatest common divisor of 21 and 497? Fix: 7 Ask: What is the highest common divisor of 60888 and 17544? Fix: 1032 Ask: Calculate the highest common divisor of 1807 and 13. Fix: 13 Ask: Calculate the highest common divisor of 357 and 41452851. Fix: 51 Ask: What is the greatest common factor of 4324 and 11309422? Fix: 2162 Ask: What is the greatest common divisor of 31264460 and 262? Fix: 262 Ask: Calculate the greatest common divisor of 3562 and 274. Fix: 274 Ask: What is the greatest common divisor of 8130 and 30? Fix: 30 Ask: Calculate the greatest common factor of 314427 and 358926. Fix
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measurement: time ----------------- Puzzle: What is 398 minutes after 7:23 PM? Explanation: 2:01 AM Puzzle: How many minutes are there between 10:49 PM and 5:15 AM? Explanation: 386 Puzzle: What is 505 minutes before 6:18 PM? Explanation: 9:53 AM Puzzle: What is 404 minutes after 10:15 PM? Explanation: 4:59 AM Puzzle: What is 71 minutes after 10:54 AM? Explanation: 12:05 PM Puzzle: What is 591 minutes before 3:54 PM? Explanation: 6:03 AM Puzzle: What is 167 minutes before 1:01 AM? Explanation: 10:14 PM Puzzle: What is 490 minutes after 3:12 PM? Explanation: 11:22 PM Puzzle: What is 50 minutes after 10:21 PM? Explanation: 11:11 PM Puzzle: How many minutes are there between 10:08 AM and 7:56 PM? Explanation: 588 Puzzle: What is 387 minutes before 8:07 PM? Explanation: 1:40 PM Puzzle: How many minutes are there between 9:38 PM and 3:20 AM? Explanation: 342 Puzzle: How many minutes are there between 9:30 AM and 11:02 AM? Explanation: 92 Puzzle: How many minutes are there between 12:27 PM and 11:34 PM? Explanation: 667 Puzzle: What is 353 minutes after 12:19 AM? Explanation: 6:12 AM Puzzle: What is 9 minutes after 5:31 AM? Explanation: 5:40 AM Puzzle: How many minutes are there between 8:24 PM and 10:43 PM? Explanation: 139 Puzzle: How many minutes are there between 8:53 AM and 9:12 AM? Explanation: 19 Puzzle: How many minutes are there between 2:15 PM and 3:52 PM? Explanation: 97 Puzzle: What is 217 minutes before 1:34 PM? Explanation: 9:57 AM Puzzle: What is 663 minutes after 10:44 PM? Explanation: 9:47 AM Puzzle: How many minutes are there between 6:30 AM and 1:01 PM? Explanation: 391 Puzzle: What is 719 minutes after 6:09 PM? Explanation: 6:08 AM Puzzle: How many minutes are there between 8:36 AM and 7:06 PM? Explanation: 630 Puzzle: What is 599 minutes before 10:46 PM? Explanation: 12:47 PM Puzzle: What is 101 minutes before 10:02 PM? Explanation: 8:21 PM Puzzle: How many minutes are there between 2:58 PM and 3:07 PM? Explanation: 9 Puzzle: What is 463 minutes befor
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numbers: place value -------------------- Subject: What is the tens digit of 996548208? Eval: 0 Subject: What is the tens digit of 274? Eval: 7 Subject: What is the units digit of 935665? Eval: 5 Subject: What is the ten thousands digit of 134554? Eval: 3 Subject: What is the hundreds digit of 4085? Eval: 0 Subject: What is the ten thousands digit of 1073429254? Eval: 2 Subject: What is the thousands digit of 99816? Eval: 9 Subject: What is the millions digit of 284631630? Eval: 4 Subject: What is the thousands digit of 8037? Eval: 8 Subject: What is the thousands digit of 1798? Eval: 1 Subject: What is the hundreds digit of 9839962? Eval: 9 Subject: What is the tens digit of 116082721? Eval: 2 Subject: What is the thousands digit of 5743420? Eval: 3 Subject: What is the millions digit of 741824544? Eval: 1 Subject: What is the hundreds digit of 2253288? Eval: 2 Subject: What is the units digit of 4714? Eval: 4 Subject: What is the hundreds digit of 11650? Eval: 6 Subject: What is the tens digit of 51478743? Eval: 4 Subject: What is the units digit of 1187? Eval: 7 Subject: What is the ten thousands digit of 179781? Eval: 7 Subject: What is the units digit of 13718? Eval: 8 Subject: What is the thousands digit of 187597? Eval: 7 Subject: What is the hundreds digit of 72444807? Eval: 8 Subject: What is the thousands digit of 2368? Eval: 2 Subject: What is the tens digit of 119754876? Eval: 7 Subject: What is the units digit of 624910? Eval: 0 Subject: What is the thousands digit of 82772? Eval: 2 Subject: What is the units digit of 31692879? Eval: 9 Subject: What is the thousands digit of 2986643? Eval: 6 Subject: What is the thousands digit of 2192919? Eval: 2 Subject: What is the hundreds digit of 4791853041? Eval: 0 Subject: What is the tens digit of 58657? Eval: 5 Subject: What is the hundreds digit of 1350? Eval: 3 Subject: What is the hundred thousands digit of 1414554? Eval: 4 Subject: What is the ten millions digit of 44323160? Eval: 4 Subject: What is the te
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numbers: gcd ------------ Situation: Calculate the highest common factor of 43809296 and 368. Reply: 368 Situation: Calculate the greatest common factor of 132 and 363. Reply: 33 Situation: What is the greatest common factor of 32 and 5728? Reply: 32 Situation: Calculate the highest common factor of 270 and 1090. Reply: 10 Situation: Calculate the highest common divisor of 585968 and 40598. Reply: 106 Situation: What is the greatest common factor of 120733 and 157? Reply: 157 Situation: Calculate the greatest common factor of 26964 and 6174. Reply: 126 Situation: Calculate the greatest common divisor of 382030 and 1602502. Reply: 506 Situation: What is the highest common factor of 12386 and 176? Reply: 22 Situation: Calculate the greatest common factor of 1375 and 1060725875. Reply: 1375 Situation: What is the greatest common factor of 2728 and 2464? Reply: 88 Situation: What is the greatest common divisor of 450 and 5670? Reply: 90 Situation: Calculate the greatest common factor of 26240 and 1494860. Reply: 820 Situation: Calculate the highest common factor of 31507 and 196. Reply: 49 Situation: Calculate the highest common divisor of 958 and 154731370. Reply: 958 Situation: Calculate the greatest common divisor of 14 and 574. Reply: 14 Situation: Calculate the greatest common factor of 87 and 2226. Reply: 3 Situation: Calculate the greatest common factor of 18 and 297. Reply: 9 Situation: What is the highest common factor of 63 and 174237? Reply: 21 Situation: What is the highest common factor of 470 and 10? Reply: 10 Situation: Calculate the greatest common divisor of 21 and 2751. Reply: 21 Situation: Calculate the greatest common divisor of 34 and 14314. Reply: 34 Situation: Calculate the greatest common factor of 15 and 2465655. Reply: 15 Situation: What is the highest common divisor of 482 and 7834187? Reply: 241 Situation: What is the highest common factor of 3950 and 158? Reply: 158 Situation: Calculate the greatest common factor of 116909 and 714. Reply: 17
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numbers: is factor ------------------ Situation: Does 31 divide 45759? Finding: False Situation: Is 530294 a multiple of 90? Finding: False Situation: Is 216 a factor of 2046831768? Finding: True Situation: Does 7 divide 240174942? Finding: True Situation: Is 4123028 a multiple of 13? Finding: True Situation: Does 24 divide 126915? Finding: False Situation: Is 153636 a multiple of 6? Finding: True Situation: Does 48 divide 12864? Finding: True Situation: Is 8 a factor of 31794008? Finding: True Situation: Does 25 divide 20249? Finding: False Situation: Is 30090 a multiple of 177? Finding: True Situation: Does 11 divide 159709? Finding: True Situation: Does 149 divide 15297532? Finding: True Situation: Is 1048 a factor of 7699036? Finding: False Situation: Does 33 divide 2548686? Finding: False Situation: Does 3 divide 145291? Finding: False Situation: Is 779 a multiple of 20? Finding: False Situation: Does 22 divide 470? Finding: False Situation: Is 308 a factor of 109569152? Finding: True Situation: Is 29 a factor of 44414212? Finding: False Situation: Is 2611 a factor of 546703737? Finding: False Situation: Is 90572834 a multiple of 143? Finding: False Situation: Is 70769 a multiple of 6? Finding: False Situation: Is 8852 a multiple of 31? Finding: False Situation: Is 6864 a multiple of 12? Finding: True Situation: Is 7 a factor of 829626? Finding: True Situation: Is 41 a factor of 164? Finding: True Situation: Is 87 a factor of 43872112? Finding: False Situation: Is 4 a factor of 501441? Finding: False Situation: Is 15284 a multiple of 172? Finding: False Situation: Is 5 a factor of 13? Finding: False Situation: Does 42 divide 16911? Finding: False Situation: Is 5 a factor of 129? Finding: False Situation: Is 25 a multiple of 25? Finding: True Situation: Is 125 a factor of 75471528? Finding: False Situation: Is 177 a factor of 350699481? Finding: True Situation: Does 8 divide 3584? Finding: True Situation: Is 41 a factor of 4920? Finding: True Situation: Does 5 d
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probability: swr p sequence --------------------------- Problem: Two letters picked without replacement from {s: 2, l: 3, j: 1, v: 1, h: 3, n: 1}. Give prob of sequence vs. Output: 1/55 Problem: Four letters picked without replacement from ljxjljzxjcjxj. What is prob of sequence ljzl? Output: 1/1430 Problem: Two letters picked without replacement from {v: 2, k: 3, c: 1, z: 10}. What is prob of sequence vc? Output: 1/120 Problem: Two letters picked without replacement from awawwawwawwa. What is prob of sequence aw? Output: 35/132 Problem: Three letters picked without replacement from {i: 3}. What is prob of sequence iii? Output: 1 Problem: Three letters picked without replacement from uaukauaaauaaakuuuu. What is prob of sequence uaa? Output: 14/153 Problem: What is prob of sequence amah when four letters picked without replacement from kqhmqaqakckamkkqkkah? Output: 2/4845 Problem: What is prob of sequence ii when two letters picked without replacement from aiiiaiaiiiiiai? Output: 45/91 Problem: Three letters picked without replacement from {e: 5, y: 1, j: 2, w: 1, v: 3}. Give prob of sequence wev. Output: 1/88 Problem: Three letters picked without replacement from {r: 9, y: 3}. What is prob of sequence ryr? Output: 9/55 Problem: Calculate prob of sequence nr when two letters picked without replacement from cnrrrrccsjcr. Output: 5/132 Problem: Three letters picked without replacement from zzznzzznnnzzn. Give prob of sequence znz. Output: 70/429 Problem: Two letters picked without replacement from csmwqqqmwnqsqcnw. Give prob of sequence ww. Output: 1/40 Problem: Three letters picked without replacement from {j: 1, p: 4, y: 4, o: 2, c: 1, d: 3}. Give prob of sequence djy. Output: 2/455 Problem: What is prob of sequence bt when two letters picked without replacement from ptpppnbpibtitp? Output: 3/91 Problem: What is prob of sequence qx when two letters picked without replacement from {x: 4, q: 16}? Output: 16/95 Problem: Calculate prob of sequence lllf when four letters
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probability: swr p sequence --------------------------- Query: Calculate prob of sequence qq when two letters picked without replacement from {o: 2, q: 3, t: 3}. Solution: 3/28 Query: What is prob of sequence if when two letters picked without replacement from fffffififffifififfff? Solution: 15/76 Query: Three letters picked without replacement from {g: 9, y: 4, d: 1}. What is prob of sequence dgy? Solution: 3/182 Query: Two letters picked without replacement from {x: 2, h: 1, i: 4, f: 1}. What is prob of sequence ih? Solution: 1/14 Query: Calculate prob of sequence ree when three letters picked without replacement from memaoemamemr. Solution: 1/220 Query: Three letters picked without replacement from kknknkkknk. Give prob of sequence kkk. Solution: 7/24 Query: Four letters picked without replacement from fxfwfnffwxxyyf. What is prob of sequence ywnf? Solution: 1/1001 Query: Calculate prob of sequence ixi when three letters picked without replacement from iyixcxxhiixxyxh. Solution: 12/455 Query: Calculate prob of sequence kkkx when four letters picked without replacement from {h: 2, e: 2, k: 4, x: 3}. Solution: 1/110 Query: Two letters picked without replacement from iiiiiiilislilsiii. What is prob of sequence il? Solution: 9/68 Query: What is prob of sequence mqtq when four letters picked without replacement from {m: 1, q: 2, f: 2, k: 1, t: 1}? Solution: 1/420 Query: Two letters picked without replacement from {c: 1, y: 1, t: 1, d: 2, i: 2}. What is prob of sequence ii? Solution: 1/21 Query: Three letters picked without replacement from ghbbddddbdbbibibdhi. What is prob of sequence gbh? Solution: 7/2907 Query: What is prob of sequence af when two letters picked without replacement from {f: 2, a: 1, u: 2, j: 1}? Solution: 1/15 Query: Two letters picked without replacement from {w: 1, p: 1, b: 6, a: 1}. Give prob of sequence wa. Solution: 1/72 Query: Three letters picked without replacement from rraarraaraaarrarraa. What is prob of sequence rra? Solution: 40/323 Quer
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numbers: gcd ------------ Given: What is the highest common divisor of 56 and 681016? Eval: 56 Given: Calculate the greatest common divisor of 1285 and 399255. Eval: 5 Given: Calculate the greatest common factor of 108 and 539379. Eval: 27 Given: What is the greatest common factor of 384 and 42? Eval: 6 Given: What is the greatest common factor of 128316348 and 684? Eval: 684 Given: What is the greatest common factor of 91128 and 888? Eval: 24 Given: What is the greatest common factor of 342615 and 4305? Eval: 105 Given: Calculate the highest common divisor of 108862 and 53. Eval: 53 Given: Calculate the greatest common divisor of 5 and 1090. Eval: 5 Given: What is the highest common factor of 927 and 171? Eval: 9 Given: Calculate the highest common divisor of 27 and 243. Eval: 27 Given: Calculate the highest common divisor of 9183433 and 441. Eval: 49 Given: What is the greatest common factor of 51 and 6? Eval: 3 Given: What is the highest common factor of 247 and 3643991? Eval: 247 Given: Calculate the highest common factor of 1760 and 877320. Eval: 40 Given: Calculate the greatest common divisor of 1626346 and 1978. Eval: 86 Given: Calculate the greatest common factor of 84 and 96. Eval: 12 Given: What is the highest common factor of 6588 and 14796? Eval: 108 Given: Calculate the highest common divisor of 400 and 16. Eval: 16 Given: Calculate the highest common divisor of 3480 and 1891323160. Eval: 1160 Given: What is the highest common factor of 38 and 2282? Eval: 2 Given: Calculate the greatest common factor of 99 and 141647. Eval: 11 Given: Calculate the highest common divisor of 43452 and 28065164. Eval: 4828 Given: Calculate the highest common factor of 93033359 and 355. Eval: 71 Given: What is the highest common divisor of 21 and 1533? Eval: 21 Given: Calculate the highest common factor of 8491974 and 192014. Eval: 6194 Given: Calculate the highest common divisor of 330 and 240. Eval: 30 Given: Calculate the highest common divisor of 1554 and 145453623. Eva
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probability: swr p sequence --------------------------- Request: Four letters picked without replacement from geegggbpgvgpp. Give prob of sequence bgev. Finding: 1/1430 Request: Calculate prob of sequence ejen when four letters picked without replacement from {j: 4, n: 12, e: 4}. Finding: 8/1615 Request: Two letters picked without replacement from {b: 1, h: 3, m: 3, x: 3, o: 1}. Give prob of sequence mo. Finding: 3/110 Request: Calculate prob of sequence ewmr when four letters picked without replacement from rerrrhmhwrwrrrhherr. Finding: 5/11628 Request: Two letters picked without replacement from {f: 2, u: 2, p: 3, s: 5}. Give prob of sequence fs. Finding: 5/66 Request: What is prob of sequence xish when four letters picked without replacement from sshihiisiisxpii? Finding: 1/585 Request: Calculate prob of sequence er when two letters picked without replacement from {r: 10, e: 10}. Finding: 5/19 Request: Three letters picked without replacement from {b: 18, l: 2}. What is prob of sequence bbl? Finding: 17/190 Request: Calculate prob of sequence ua when two letters picked without replacement from {u: 4, a: 6}. Finding: 4/15 Request: Four letters picked without replacement from {w: 5, b: 13}. What is prob of sequence wwww? Finding: 1/612 Request: Three letters picked without replacement from zaizziibhazsz. What is prob of sequence bhi? Finding: 1/572 Request: Calculate prob of sequence ummi when four letters picked without replacement from {i: 13, u: 4, m: 3}. Finding: 13/4845 Request: Calculate prob of sequence uxx when three letters picked without replacement from uuxxxxu. Finding: 6/35 Request: Four letters picked without replacement from {m: 7, o: 3}. Give prob of sequence ommo. Finding: 1/20 Request: Calculate prob of sequence sssr when four letters picked without replacement from {s: 14, r: 1}. Finding: 1/15 Request: Two letters picked without replacement from jjjjijnjjidjnid. What is prob of sequence jn? Finding: 8/105 Request: Calculate prob of sequence pr wh
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numbers: is factor ------------------ Question: Is 78 a factor of 446114? Answer: False Question: Is 267049006 a multiple of 65? Answer: False Question: Does 12 divide 1563? Answer: False Question: Is 30 a factor of 63300? Answer: True Question: Does 3 divide 3213452? Answer: False Question: Does 4 divide 50024? Answer: True Question: Is 622710 a multiple of 66? Answer: True Question: Is 165 a factor of 1161600? Answer: True Question: Is 106 a factor of 637924430? Answer: True Question: Is 9 a factor of 120161? Answer: False Question: Is 19 a factor of 1330? Answer: True Question: Is 1898 a multiple of 9? Answer: False Question: Is 864776 a multiple of 248? Answer: True Question: Does 8 divide 1152? Answer: True Question: Is 1355751 a multiple of 271? Answer: False Question: Is 10422579 a multiple of 1159? Answer: False Question: Does 215 divide 54584? Answer: False Question: Is 85 a factor of 40299860? Answer: True Question: Does 19 divide 280651? Answer: False Question: Does 2361 divide 58583493? Answer: True Question: Does 319 divide 224789092? Answer: True Question: Is 1447 a factor of 411289492? Answer: True Question: Is 46 a factor of 1404610? Answer: True Question: Is 12 a factor of 395006922? Answer: False Question: Is 47 a factor of 3666? Answer: True Question: Does 38 divide 129285? Answer: False Question: Does 881 divide 11454487? Answer: False Question: Is 70 a factor of 2336150? Answer: False Question: Does 28 divide 3276? Answer: True Question: Is 23 a factor of 387780? Answer: True Question: Is 128104064 a multiple of 22? Answer: True Question: Is 7 a factor of 20068? Answer: False Question: Does 26 divide 2283055? Answer: False Question: Does 64 divide 1508672? Answer: True Question: Is 54237904 a multiple of 784? Answer: True Question: Is 40567 a multiple of 156? Answer: False Question: Is 173 a factor of 16046? Answer: False Question: Is 19 a factor of 34942? Answer: False Question: Does 630 divide 111662? Answer: False Question: Does 59 divide 668
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numbers: is factor ------------------ Question: Is 7251262 a multiple of 449? Fix: False Question: Is 5994 a multiple of 162? Fix: True Question: Is 4600348 a multiple of 1111? Fix: False Question: Is 967290056 a multiple of 2168? Fix: True Question: Is 7 a factor of 1013686? Fix: False Question: Is 186 a factor of 2976? Fix: True Question: Is 5126314 a multiple of 38? Fix: True Question: Is 15312 a multiple of 2? Fix: True Question: Does 11 divide 80834? Fix: False Question: Is 771 a multiple of 16? Fix: False Question: Is 21 a factor of 9505510? Fix: False Question: Is 30 a factor of 6437108? Fix: False Question: Is 105 a multiple of 5? Fix: True Question: Is 768 a multiple of 16? Fix: True Question: Is 30 a factor of 163191? Fix: False Question: Is 11 a factor of 410560? Fix: False Question: Is 9 a factor of 309? Fix: False Question: Does 18 divide 703620? Fix: True Question: Is 28218834 a multiple of 54? Fix: True Question: Does 298 divide 129042418? Fix: False Question: Is 200770 a multiple of 34? Fix: True Question: Is 104 a multiple of 6? Fix: False Question: Does 85 divide 510? Fix: True Question: Is 30 a factor of 4170? Fix: True Question: Does 10 divide 240? Fix: True Question: Is 65 a factor of 29278? Fix: False Question: Is 891340 a multiple of 27? Fix: False Question: Is 22704 a multiple of 2? Fix: True Question: Does 36 divide 102298284? Fix: True Question: Is 75 a factor of 5925? Fix: True Question: Is 2039 a multiple of 10? Fix: False Question: Does 256 divide 10303488? Fix: True Question: Does 23 divide 3772? Fix: True Question: Is 2 a factor of 4622189? Fix: False Question: Is 31 a factor of 244? Fix: False Question: Is 103 a factor of 694426? Fix: True Question: Does 76 divide 6445340? Fix: False Question: Is 541 a factor of 42077898? Fix: True Question: Is 135257 a multiple of 72? Fix: False Question: Is 34016 a multiple of 8? Fix: True Question: Does 48 divide 149717930? Fix: False Question: Is 321750 a multiple of 26? Fix: True Question: Is 328
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numbers: is prime ----------------- Part A: Is 53693 composite? Final Answer: False Part A: Is 586553 a prime number? Final Answer: False Part A: Is 1039 composite? Final Answer: False Part A: Is 178255099 composite? Final Answer: True Part A: Is 1024890641 prime? Final Answer: False Part A: Is 9272293 composite? Final Answer: True Part A: Is 7432392997 prime? Final Answer: False Part A: Is 185927 a composite number? Final Answer: True Part A: Is 25629973 a prime number? Final Answer: True Part A: Is 49947 prime? Final Answer: False Part A: Is 1049 a composite number? Final Answer: False Part A: Is 6445037 a prime number? Final Answer: False Part A: Is 4663067987 prime? Final Answer: True Part A: Is 30211176961 composite? Final Answer: True Part A: Is 1513011 prime? Final Answer: False Part A: Is 38273 prime? Final Answer: True Part A: Is 924059 a prime number? Final Answer: True Part A: Is 321004451 a composite number? Final Answer: True Part A: Is 2333 prime? Final Answer: True Part A: Is 32056907 prime? Final Answer: True Part A: Is 3199253671 a composite number? Final Answer: False Part A: Is 2893 a prime number? Final Answer: False Part A: Is 3375274249 a composite number? Final Answer: False Part A: Is 1911347 a composite number? Final Answer: False Part A: Is 8868767 a prime number? Final Answer: True Part A: Is 399833549 a prime number? Final Answer: False Part A: Is 215557 composite? Final Answer: True Part A: Is 8828953 a composite number? Final Answer: True Part A: Is 65735 a prime number? Final Answer: False Part A: Is 65237 a composite number? Final Answer: True Part A: Is 1213608827 a prime number? Final Answer: True Part A: Is 104492263 prime? Final Answer: True Part A: Is 1005409 a prime number? Final Answer: True Part A: Is 498459959 a prime number? Final Answer: False Part A: Is 186353 composite? Final Answer: True Part A: Is 3177309 a prime number? Final Answer: False Part A: Is 15571586839 prime? Final Answer: False Part A: Is 1759427 composite?
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