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numbers: place value -------------------- Qn: What is the tens digit of 221? Output: 2 Qn: What is the hundreds digit of 3180711? Output: 7 Qn: What is the billions digit of 1298629608? Output: 1 Qn: What is the units digit of 4300935? Output: 5 Qn: What is the units digit of 11514? Output: 4 Qn: What is the millions digit of 509411825? Output: 9 Qn: What is the hundred millions digit of 158760133? Output: 1 Qn: What is the units digit of 4645355? Output: 5 Qn: What is the thousands digit of 30405? Output: 0 Qn: What is the thousands digit of 296164415? Output: 4 Qn: What is the ten thousands digit of 770898? Output: 7 Qn: What is the ten millions digit of 4188653098? Output: 8 Qn: What is the ten thousands digit of 122677188? Output: 7 Qn: What is the millions digit of 5251597? Output: 5 Qn: What is the ten thousands digit of 530696? Output: 3 Qn: What is the millions digit of 33217932? Output: 3 Qn: What is the hundreds digit of 852? Output: 8 Qn: What is the hundred thousands digit of 6895808? Output: 8 Qn: What is the millions digit of 2333514? Output: 2 Qn: What is the ten thousands digit of 2152315921? Output: 1 Qn: What is the millions digit of 281365277? Output: 1 Qn: What is the tens digit of 337439641? Output: 4 Qn: What is the units digit of 296320281? Output: 1 Qn: What is the ten millions digit of 31683365? Output: 3 Qn: What is the hundreds digit of 248905559? Output: 5 Qn: What is the units digit of 1113? Output: 3 Qn: What is the units digit of 23070178? Output: 8 Qn: What is the units digit of 95? Output: 5 Qn: What is the hundred millions digit of 120216443? Output: 1 Qn: What is the millions digit of 1873521519? Output: 3 Qn: What is the thousands digit of 2477? Output: 2 Qn: What is the ten thousands digit of 641623? Output: 4 Qn: What is the tens digit of 631897? Output: 9 Qn: What is the thousands digit of 1297? Output: 1 Qn: What is the units digit of 597? Output: 7 Qn: What is the thousands digit of 310018? Output: 0 Qn: What is the tens digi
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numbers: is prime ----------------- Exercise: Is 345701 prime? Key: True Exercise: Is 1248312895 prime? Key: False Exercise: Is 35994600233 composite? Key: False Exercise: Is 5711 prime? Key: True Exercise: Is 6193 a composite number? Key: True Exercise: Is 401748937 a prime number? Key: False Exercise: Is 394382909 prime? Key: False Exercise: Is 242139379 prime? Key: False Exercise: Is 6874009 composite? Key: True Exercise: Is 2407 a composite number? Key: True Exercise: Is 28282973 a composite number? Key: True Exercise: Is 1310923 a composite number? Key: False Exercise: Is 3897643 prime? Key: False Exercise: Is 194602 composite? Key: True Exercise: Is 625763 a prime number? Key: True Exercise: Is 5497 prime? Key: False Exercise: Is 870689 prime? Key: False Exercise: Is 2019 prime? Key: False Exercise: Is 739014443 composite? Key: True Exercise: Is 245523034235 a prime number? Key: False Exercise: Is 669601 prime? Key: False Exercise: Is 1364034211 composite? Key: False Exercise: Is 278297 a composite number? Key: True Exercise: Is 38518 a composite number? Key: True Exercise: Is 16477186151 a prime number? Key: False Exercise: Is 156481 composite? Key: True Exercise: Is 1338537 prime? Key: False Exercise: Is 17490691 prime? Key: True Exercise: Is 15706797473 composite? Key: True Exercise: Is 67157521 composite? Key: True Exercise: Is 104164563 composite? Key: True Exercise: Is 6447284957 a prime number? Key: True Exercise: Is 1546926127 a prime number? Key: True Exercise: Is 7123982077 composite? Key: True Exercise: Is 770417 prime? Key: True Exercise: Is 21313 a composite number? Key: False Exercise: Is 9358184387 a prime number? Key: False Exercise: Is 5411569 composite? Key: False Exercise: Is 19534 prime? Key: False Exercise: Is 3627115 a composite number? Key: True Exercise: Is 124003 a composite number? Key: True Exercise: Is 18757217 prime? Key: True Exercise: Is 2257193 a composite number? Key: False Exercise: Is 941185097 composite? Key: False Exercise:
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numbers: is prime ----------------- Task: Is 19283 composite? Workthrough: True Task: Is 3780913 a prime number? Workthrough: False Task: Is 63078173 composite? Workthrough: False Task: Is 69143 a prime number? Workthrough: True Task: Is 174413159 a composite number? Workthrough: False Task: Is 897352237 a composite number? Workthrough: False Task: Is 995983 a composite number? Workthrough: False Task: Is 5399938043 a composite number? Workthrough: False Task: Is 190565 composite? Workthrough: True Task: Is 18517 prime? Workthrough: True Task: Is 4640243 prime? Workthrough: False Task: Is 3982173611 composite? Workthrough: True Task: Is 8526742883 a prime number? Workthrough: True Task: Is 6825314141 composite? Workthrough: False Task: Is 46819485259 composite? Workthrough: False Task: Is 68381683 a composite number? Workthrough: True Task: Is 25728943 a prime number? Workthrough: False Task: Is 5257 composite? Workthrough: True Task: Is 1949 composite? Workthrough: False Task: Is 23531 composite? Workthrough: False Task: Is 3130958351 prime? Workthrough: False Task: Is 312901 composite? Workthrough: True Task: Is 121123 composite? Workthrough: False Task: Is 1347587 a prime number? Workthrough: True Task: Is 19835 prime? Workthrough: False Task: Is 263 a composite number? Workthrough: False Task: Is 1018271 prime? Workthrough: True Task: Is 109147 composite? Workthrough: False Task: Is 11773887739 a prime number? Workthrough: True Task: Is 723017 composite? Workthrough: True Task: Is 206177 a prime number? Workthrough: True Task: Is 254092018 composite? Workthrough: True Task: Is 377924663 a composite number? Workthrough: True Task: Is 59904368897 composite? Workthrough: True Task: Is 172221241 a prime number? Workthrough: True Task: Is 21427 prime? Workthrough: False Task: Is 12671 prime? Workthrough: True Task: Is 1416671 a prime number? Workthrough: True Task: Is 3887170279 a composite number? Workthrough: True Task: Is 8923 a composite number? Workthrough: Fals
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numbers: gcd ------------ Step: Calculate the greatest common divisor of 375 and 225. Soln: 75 Step: What is the highest common divisor of 55422 and 498? Soln: 6 Step: Calculate the highest common divisor of 177 and 118. Soln: 59 Step: Calculate the greatest common divisor of 90 and 3330. Soln: 90 Step: What is the greatest common divisor of 216 and 8? Soln: 8 Step: What is the greatest common divisor of 583 and 55? Soln: 11 Step: What is the greatest common divisor of 230 and 56379670? Soln: 230 Step: Calculate the greatest common factor of 410 and 10414. Soln: 82 Step: Calculate the greatest common factor of 1101 and 10276. Soln: 367 Step: What is the greatest common factor of 5915 and 169? Soln: 169 Step: Calculate the greatest common factor of 26997327 and 2324. Soln: 581 Step: Calculate the highest common divisor of 5213379 and 81. Soln: 3 Step: Calculate the greatest common divisor of 43088 and 3088. Soln: 16 Step: What is the greatest common factor of 62578 and 5834698? Soln: 934 Step: Calculate the greatest common divisor of 34 and 374. Soln: 34 Step: What is the highest common divisor of 924 and 469329322? Soln: 154 Step: What is the highest common factor of 317197148 and 157? Soln: 157 Step: What is the highest common divisor of 40 and 16? Soln: 8 Step: Calculate the highest common divisor of 1800 and 61392312. Soln: 72 Step: What is the greatest common divisor of 294 and 4508? Soln: 98 Step: What is the highest common divisor of 1248 and 408? Soln: 24 Step: Calculate the highest common divisor of 768 and 24. Soln: 24 Step: Calculate the highest common factor of 4117888 and 44311. Soln: 607 Step: Calculate the highest common factor of 420 and 150480. Soln: 60 Step: What is the highest common factor of 20 and 580? Soln: 20 Step: Calculate the greatest common divisor of 141750 and 547554. Soln: 42 Step: Calculate the greatest common divisor of 1344 and 22832. Soln: 16 Step: What is the greatest common factor of 25932 and 64? Soln: 4 Step: Calculate the highe
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probability: swr p level set ---------------------------- Task: Calculate prob of picking 1 p, 1 x, and 2 w when four letters picked without replacement from wwxwwwppwwwpwwwppppp. Sol: 88/969 Task: Two letters picked without replacement from ksksssskskkk. Give prob of picking 1 k and 1 s. Sol: 6/11 Task: Four letters picked without replacement from vvvvvv. Give prob of picking 4 v. Sol: 1 Task: Calculate prob of picking 2 t when two letters picked without replacement from {u: 4, t: 10}. Sol: 45/91 Task: Three letters picked without replacement from {q: 1, g: 3, n: 2, a: 1}. Give prob of picking 1 q, 1 n, and 1 g. Sol: 6/35 Task: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from qjjqjjqaxyqxaqqx. Sol: 1/20 Task: Two letters picked without replacement from {q: 2, m: 3, c: 4, r: 6, x: 1}. Give prob of picking 1 q and 1 x. Sol: 1/60 Task: Calculate prob of picking 1 l and 3 a when four letters picked without replacement from {u: 1, o: 2, l: 1, r: 7, a: 5}. Sol: 1/182 Task: Four letters picked without replacement from yzzrrsyzzzzr. Give prob of picking 1 z and 3 r. Sol: 2/165 Task: Calculate prob of picking 3 s and 1 d when four letters picked without replacement from {d: 2, s: 11}. Sol: 6/13 Task: Calculate prob of picking 2 b and 1 a when three letters picked without replacement from {b: 5, a: 5}. Sol: 5/12 Task: Calculate prob of picking 2 z when two letters picked without replacement from zzzbxbbqzqzzb. Sol: 5/26 Task: What is prob of picking 2 o when two letters picked without replacement from eosoloe? Sol: 1/7 Task: Two letters picked without replacement from {n: 1, c: 5, y: 1, o: 1, w: 3, l: 1}. Give prob of picking 1 o and 1 y. Sol: 1/66 Task: Calculate prob of picking 3 p and 1 n when four letters picked without replacement from {p: 5, c: 3, j: 1, n: 3, k: 8}. Sol: 2/323 Task: Two letters picked without replacement from {h: 5, t: 3, q: 1, v: 5, x: 2}. Give prob of picking 1 t and 1 x. Sol: 1/20 Task: Two letters picked withou
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numbers: div remainder ---------------------- Prompt: Calculate the remainder when 15266087 is divided by 957. Sol: 23 Prompt: Calculate the remainder when 252493 is divided by 24. Sol: 13 Prompt: Calculate the remainder when 374 is divided by 27. Sol: 23 Prompt: What is the remainder when 1420417 is divided by 308? Sol: 229 Prompt: Calculate the remainder when 591 is divided by 43. Sol: 32 Prompt: Calculate the remainder when 577 is divided by 62. Sol: 19 Prompt: What is the remainder when 6851 is divided by 42? Sol: 5 Prompt: What is the remainder when 6 is divided by 4? Sol: 2 Prompt: What is the remainder when 55216 is divided by 17? Sol: 0 Prompt: Calculate the remainder when 13619 is divided by 4538. Sol: 5 Prompt: What is the remainder when 317 is divided by 7? Sol: 2 Prompt: What is the remainder when 113 is divided by 57? Sol: 56 Prompt: What is the remainder when 30589 is divided by 160? Sol: 29 Prompt: What is the remainder when 14972 is divided by 1395? Sol: 1022 Prompt: What is the remainder when 7 is divided by 5? Sol: 2 Prompt: What is the remainder when 199443 is divided by 1525? Sol: 1193 Prompt: What is the remainder when 666 is divided by 224? Sol: 218 Prompt: What is the remainder when 1111497 is divided by 277873? Sol: 5 Prompt: What is the remainder when 5820384 is divided by 118783? Sol: 17 Prompt: Calculate the remainder when 29675 is divided by 2047. Sol: 1017 Prompt: What is the remainder when 24881 is divided by 754? Sol: 753 Prompt: Calculate the remainder when 2181 is divided by 213. Sol: 51 Prompt: Calculate the remainder when 122591 is divided by 355. Sol: 116 Prompt: What is the remainder when 213 is divided by 27? Sol: 24 Prompt: Calculate the remainder when 2239 is divided by 226. Sol: 205 Prompt: Calculate the remainder when 44 is divided by 3. Sol: 2 Prompt: Calculate the remainder when 2565265 is divided by 38. Sol: 37 Prompt: Calculate the remainder when 45 is divided by 27. Sol: 18 Prompt: Calculate the remainder when 6372 is d
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numbers: lcm ------------ Puzzle: What is the common denominator of 59/934260 and -55/552? Final Answer: 1868520 Puzzle: What is the common denominator of 7/3876 and 15/136? Final Answer: 7752 Puzzle: Calculate the common denominator of -71/153216 and 127/3592368. Final Answer: 201172608 Puzzle: What is the common denominator of 1/1344 and 75/56? Final Answer: 1344 Puzzle: What is the common denominator of -17/117 and 4/117? Final Answer: 117 Puzzle: What is the smallest common multiple of 342 and 113832? Final Answer: 2162808 Puzzle: What is the smallest common multiple of 95 and 104198? Final Answer: 9898810 Puzzle: What is the lowest common multiple of 58 and 261? Final Answer: 522 Puzzle: What is the least common multiple of 57954 and 810? Final Answer: 7823790 Puzzle: Calculate the lowest common multiple of 5226 and 7254. Final Answer: 486018 Puzzle: Find the common denominator of -83/9451935 and 155/69372. Final Answer: 37807740 Puzzle: Calculate the common denominator of -71/45 and -113/354. Final Answer: 5310 Puzzle: What is the lowest common multiple of 5990 and 8? Final Answer: 23960 Puzzle: Find the common denominator of 107/1536 and 75/1664. Final Answer: 19968 Puzzle: What is the lowest common multiple of 1240 and 111848? Final Answer: 559240 Puzzle: Calculate the lowest common multiple of 344669 and 106052. Final Answer: 1378676 Puzzle: Calculate the smallest common multiple of 33567 and 167835. Final Answer: 167835 Puzzle: Calculate the common denominator of 137/8790 and 22/1888385. Final Answer: 11330310 Puzzle: What is the smallest common multiple of 36 and 360? Final Answer: 360 Puzzle: Calculate the common denominator of 68/99 and 11/9. Final Answer: 99 Puzzle: Find the common denominator of -139/234 and -47/1014. Final Answer: 3042 Puzzle: What is the lowest common multiple of 22411200 and 25612800? Final Answer: 179289600 Puzzle: Calculate the least common multiple of 30 and 8. Final Answer: 120 Puzzle: What is the least common multiple of 24285
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numbers: is factor ------------------ Task: Does 39 divide 1911? Therefore: True Task: Does 34 divide 92082673? Therefore: False Task: Is 99 a factor of 177948869? Therefore: False Task: Is 183254566 a multiple of 11? Therefore: True Task: Does 15 divide 5402? Therefore: False Task: Is 142 a factor of 100755? Therefore: False Task: Does 227 divide 27432291? Therefore: False Task: Is 79 a multiple of 72? Therefore: False Task: Is 1173 a factor of 25786059? Therefore: True Task: Is 1679249 a multiple of 32? Therefore: False Task: Is 23 a factor of 108675? Therefore: True Task: Does 73 divide 935856569? Therefore: True Task: Does 6 divide 281? Therefore: False Task: Does 836 divide 113285203? Therefore: False Task: Is 9 a factor of 747? Therefore: True Task: Is 1511625855 a multiple of 9285? Therefore: True Task: Is 10 a factor of 292? Therefore: False Task: Does 24 divide 1922? Therefore: False Task: Is 20 a factor of 2680? Therefore: True Task: Does 411 divide 168758627? Therefore: False Task: Is 767234 a multiple of 26? Therefore: True Task: Is 415 a multiple of 7? Therefore: False Task: Is 590 a factor of 215681132? Therefore: False Task: Is 49175 a multiple of 25? Therefore: True Task: Does 55 divide 2420? Therefore: True Task: Is 66558 a multiple of 431? Therefore: False Task: Is 514608 a multiple of 302? Therefore: True Task: Is 105721 a multiple of 12? Therefore: False Task: Is 26 a factor of 702? Therefore: True Task: Is 1380926 a multiple of 62? Therefore: True Task: Does 122 divide 2105476? Therefore: True Task: Does 2265 divide 11587740? Therefore: True Task: Does 9 divide 1998? Therefore: True Task: Is 3979940 a multiple of 1412? Therefore: False Task: Is 1063 a factor of 4052156? Therefore: True Task: Does 11 divide 448010977? Therefore: False Task: Does 20 divide 42920? Therefore: True Task: Is 6 a factor of 230448? Therefore: True Task: Is 16 a factor of 800? Therefore: True Task: Is 40 a factor of 227739? Therefore: False Task: Is 60 a multiple of 14?
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probability: swr p sequence --------------------------- Subject: What is prob of sequence eeee when four letters picked without replacement from {k: 3, e: 8}? Derivation: 7/33 Subject: Calculate prob of sequence jfj when three letters picked without replacement from fjffjf. Derivation: 1/15 Subject: Three letters picked without replacement from {y: 8, w: 4, a: 1, q: 2}. What is prob of sequence qyq? Derivation: 8/1365 Subject: Two letters picked without replacement from {x: 4, o: 1, c: 1, r: 7}. What is prob of sequence xo? Derivation: 1/39 Subject: Four letters picked without replacement from {r: 1, u: 6, s: 4, k: 7}. Give prob of sequence usrr. Derivation: 0 Subject: What is prob of sequence vg when two letters picked without replacement from yypymygyyymyypvjyvg? Derivation: 2/171 Subject: Calculate prob of sequence he when two letters picked without replacement from hkee. Derivation: 1/6 Subject: Two letters picked without replacement from dfa. Give prob of sequence af. Derivation: 1/6 Subject: Three letters picked without replacement from {k: 1, l: 3, p: 3, z: 1, o: 6}. Give prob of sequence loo. Derivation: 15/364 Subject: What is prob of sequence ry when two letters picked without replacement from rvvbrvbybvbbbvrr? Derivation: 1/60 Subject: Calculate prob of sequence gggg when four letters picked without replacement from gggggg. Derivation: 1 Subject: What is prob of sequence ey when two letters picked without replacement from esssseysddddssdees? Derivation: 2/153 Subject: Three letters picked without replacement from krckxknggckxrxckrgcx. What is prob of sequence ccg? Derivation: 1/190 Subject: Two letters picked without replacement from {b: 5, u: 9}. What is prob of sequence bb? Derivation: 10/91 Subject: What is prob of sequence lh when two letters picked without replacement from {y: 1, k: 10, l: 1, h: 7, r: 1}? Derivation: 7/380 Subject: What is prob of sequence qd when two letters picked without replacement from dqdqqqqqddqddqdq? Derivation: 21/80 Subject
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numbers: gcd ------------ Math Problem: What is the highest common divisor of 217 and 1512? Eval: 7 Math Problem: What is the greatest common factor of 90 and 8406? Eval: 18 Math Problem: What is the greatest common factor of 63 and 18? Eval: 9 Math Problem: What is the greatest common divisor of 210736 and 36896? Eval: 16 Math Problem: Calculate the greatest common divisor of 265 and 1749. Eval: 53 Math Problem: Calculate the highest common divisor of 3440 and 256. Eval: 16 Math Problem: Calculate the greatest common factor of 5661 and 1224. Eval: 153 Math Problem: What is the highest common factor of 2384 and 32? Eval: 16 Math Problem: Calculate the highest common divisor of 5 and 3781405. Eval: 5 Math Problem: What is the highest common factor of 36 and 56? Eval: 4 Math Problem: What is the highest common divisor of 18 and 657? Eval: 9 Math Problem: Calculate the greatest common factor of 78 and 47229. Eval: 39 Math Problem: Calculate the highest common factor of 14112 and 91392. Eval: 672 Math Problem: Calculate the highest common factor of 1178 and 5270. Eval: 62 Math Problem: Calculate the greatest common factor of 4116 and 6. Eval: 6 Math Problem: Calculate the greatest common factor of 10 and 30370. Eval: 10 Math Problem: Calculate the highest common factor of 398258 and 28. Eval: 14 Math Problem: What is the highest common divisor of 5382312 and 458328? Eval: 4056 Math Problem: What is the greatest common factor of 716 and 58354? Eval: 358 Math Problem: What is the greatest common divisor of 32490 and 130679910? Eval: 1710 Math Problem: Calculate the highest common divisor of 284 and 8. Eval: 4 Math Problem: Calculate the greatest common factor of 4982754 and 5934. Eval: 258 Math Problem: Calculate the greatest common divisor of 3954 and 1110. Eval: 6 Math Problem: What is the highest common factor of 633049 and 2? Eval: 1 Math Problem: What is the highest common factor of 277 and 3? Eval: 1 Math Problem: What is the greatest common divisor of 54312818 and
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numbers: gcd ------------ Request: Calculate the highest common factor of 3285 and 36. Ans: 9 Request: Calculate the highest common factor of 15 and 775. Ans: 5 Request: What is the greatest common divisor of 56112 and 12? Ans: 12 Request: Calculate the greatest common factor of 1568374 and 342. Ans: 38 Request: Calculate the greatest common divisor of 52696 and 398. Ans: 2 Request: What is the greatest common factor of 494 and 114? Ans: 38 Request: What is the highest common divisor of 20322 and 36? Ans: 18 Request: Calculate the greatest common factor of 366849 and 54. Ans: 27 Request: Calculate the greatest common factor of 63476 and 1001. Ans: 7 Request: What is the highest common factor of 45946277 and 78? Ans: 13 Request: What is the highest common factor of 3423 and 252813? Ans: 489 Request: Calculate the highest common factor of 546 and 182014. Ans: 14 Request: What is the highest common divisor of 72017 and 33? Ans: 11 Request: Calculate the highest common factor of 1148 and 1456875140. Ans: 1148 Request: Calculate the greatest common divisor of 739182 and 1047. Ans: 1047 Request: Calculate the highest common divisor of 1420 and 100. Ans: 20 Request: Calculate the greatest common factor of 1152 and 4383. Ans: 9 Request: Calculate the highest common divisor of 7740 and 1906620. Ans: 2580 Request: What is the highest common divisor of 3845075 and 625? Ans: 25 Request: Calculate the highest common factor of 224 and 58009. Ans: 7 Request: What is the greatest common divisor of 2658622 and 177278? Ans: 274 Request: What is the highest common factor of 781 and 142? Ans: 71 Request: Calculate the greatest common factor of 63816740 and 156. Ans: 52 Request: Calculate the highest common factor of 221806 and 4939. Ans: 449 Request: What is the highest common divisor of 23720 and 856? Ans: 8 Request: Calculate the highest common divisor of 130 and 546487045. Ans: 65 Request: Calculate the highest common divisor of 477 and 257319. Ans: 9 Request: Calculate the greatest
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probability: swr p level set ---------------------------- Question: What is prob of picking 4 z when four letters picked without replacement from bzbzzbbbbbzbzbzzzzbb? Math A: 42/1615 Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {c: 3, q: 3, n: 1, e: 1, o: 3}. Math A: 3/55 Question: Calculate prob of picking 2 s when two letters picked without replacement from fffdfsffffssssffs. Math A: 15/136 Question: Two letters picked without replacement from qqmndnxu. What is prob of picking 1 u and 1 n? Math A: 1/14 Question: Three letters picked without replacement from {z: 12, i: 1, o: 3}. What is prob of picking 2 z and 1 i? Math A: 33/280 Question: Two letters picked without replacement from sdssdsssssdssd. Give prob of picking 1 d and 1 s. Math A: 40/91 Question: Three letters picked without replacement from {l: 7, m: 1, g: 6}. Give prob of picking 3 l. Math A: 5/52 Question: What is prob of picking 2 k and 1 p when three letters picked without replacement from pyk? Math A: 0 Question: Calculate prob of picking 1 u and 2 w when three letters picked without replacement from {n: 1, w: 3, u: 1, q: 2}. Math A: 3/35 Question: Three letters picked without replacement from {v: 10, k: 2, q: 1, s: 2, m: 4}. Give prob of picking 1 s, 1 q, and 1 m. Math A: 8/969 Question: Three letters picked without replacement from bqqbu. Give prob of picking 1 u and 2 q. Math A: 1/10 Question: Four letters picked without replacement from jjjjbjjbj. What is prob of picking 3 j and 1 b? Math A: 5/9 Question: Four letters picked without replacement from lbllwcbllclmwfl. What is prob of picking 2 w and 2 c? Math A: 1/1365 Question: Two letters picked without replacement from {z: 3, t: 2}. Give prob of picking 2 t. Math A: 1/10 Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from {j: 3, q: 2, p: 1, a: 1}. Math A: 2/21 Question: Calculate prob of picking 1 g, 1 s, and 1 a when three letters picked without re
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probability: swr p level set ---------------------------- Task: Two letters picked without replacement from fqiqflfiifqwff. What is prob of picking 1 i and 1 q? Eval: 9/91 Task: What is prob of picking 4 x when four letters picked without replacement from {i: 6, w: 2, x: 1, v: 3}? Eval: 0 Task: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {m: 1, b: 5, n: 4, s: 2, v: 2}. Eval: 10/91 Task: Three letters picked without replacement from jtmtjjjxjtmi. Give prob of picking 1 j, 1 t, and 1 i. Eval: 3/44 Task: Three letters picked without replacement from {u: 3, p: 12, o: 1, n: 2, j: 1}. What is prob of picking 1 n, 1 p, and 1 o? Eval: 8/323 Task: Four letters picked without replacement from {g: 3, m: 9, d: 2, j: 1, s: 2}. Give prob of picking 3 g and 1 j. Eval: 1/2380 Task: Two letters picked without replacement from {x: 1, w: 4, q: 2, n: 2}. What is prob of picking 1 w and 1 q? Eval: 2/9 Task: Two letters picked without replacement from {b: 1, z: 4, t: 4, j: 6}. What is prob of picking 2 t? Eval: 2/35 Task: What is prob of picking 1 l and 1 c when two letters picked without replacement from {l: 4, c: 3}? Eval: 4/7 Task: Two letters picked without replacement from ngctgqfgfftq. Give prob of picking 1 f and 1 n. Eval: 1/22 Task: Four letters picked without replacement from nbbbnkbnnbbvbobvnopp. What is prob of picking 1 v, 1 o, and 2 n? Eval: 8/969 Task: Four letters picked without replacement from ddodobdoddo. What is prob of picking 2 d and 2 o? Eval: 3/11 Task: What is prob of picking 1 k, 1 w, and 1 l when three letters picked without replacement from lklzwzeezkllkzellz? Eval: 3/136 Task: Three letters picked without replacement from {u: 1, o: 3}. What is prob of picking 2 o and 1 u? Eval: 3/4 Task: What is prob of picking 1 h and 3 d when four letters picked without replacement from {h: 3, d: 3}? Eval: 1/5 Task: Calculate prob of picking 2 k and 1 y when three letters picked without replacement from {y: 13, k: 5}. Eval: 65/408
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numbers: place value -------------------- Qn: What is the thousands digit of 1957? A: 1 Qn: What is the ten thousands digit of 646894? A: 4 Qn: What is the thousands digit of 5211? A: 5 Qn: What is the ten thousands digit of 3485270? A: 8 Qn: What is the tens digit of 2966? A: 6 Qn: What is the tens digit of 172887845? A: 4 Qn: What is the units digit of 4262? A: 2 Qn: What is the tens digit of 148947? A: 4 Qn: What is the thousands digit of 114699? A: 4 Qn: What is the hundreds digit of 246654? A: 6 Qn: What is the millions digit of 2034870? A: 2 Qn: What is the hundred thousands digit of 836789? A: 8 Qn: What is the units digit of 35989? A: 9 Qn: What is the ten thousands digit of 879785712? A: 8 Qn: What is the units digit of 158? A: 8 Qn: What is the hundreds digit of 14991? A: 9 Qn: What is the tens digit of 5327066720? A: 2 Qn: What is the thousands digit of 128175? A: 8 Qn: What is the thousands digit of 4000762? A: 0 Qn: What is the tens digit of 1897730? A: 3 Qn: What is the tens digit of 2538632? A: 3 Qn: What is the tens digit of 70609? A: 0 Qn: What is the units digit of 3921799? A: 9 Qn: What is the millions digit of 97572261? A: 7 Qn: What is the hundreds digit of 10487? A: 4 Qn: What is the hundreds digit of 236889322? A: 3 Qn: What is the units digit of 114664017? A: 7 Qn: What is the units digit of 349? A: 9 Qn: What is the tens digit of 277? A: 7 Qn: What is the ten millions digit of 433751896? A: 3 Qn: What is the hundreds digit of 287? A: 2 Qn: What is the hundreds digit of 56488385? A: 3 Qn: What is the thousands digit of 1131? A: 1 Qn: What is the thousands digit of 8617? A: 8 Qn: What is the hundreds digit of 2243152533? A: 5 Qn: What is the units digit of 4434? A: 4 Qn: What is the units digit of 1192619604? A: 4 Qn: What is the hundreds digit of 5438? A: 4 Qn: What is the tens digit of 416370? A: 7 Qn: What is the units digit of 854719? A: 9 Qn: What is the millions digit of 2765551? A: 2 Qn: What is the tens digit of 31385977? A: 7 Qn: What
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probability: swr p sequence --------------------------- Q): Calculate prob of sequence hii when three letters picked without replacement from mfiiifhjfiffifiih. Workthrough: 7/340 Q): Three letters picked without replacement from mtmksmkskhsktkh. Give prob of sequence mht. Workthrough: 2/455 Q): What is prob of sequence glll when four letters picked without replacement from {l: 3, g: 1}? Workthrough: 1/4 Q): Four letters picked without replacement from mmttgmtmgt. Give prob of sequence mmmg. Workthrough: 1/105 Q): Calculate prob of sequence yhml when four letters picked without replacement from {h: 2, r: 1, y: 2, l: 1, m: 1}. Workthrough: 1/210 Q): What is prob of sequence zzz when three letters picked without replacement from nnnnnnnnzznnznnnznzn? Workthrough: 1/114 Q): Three letters picked without replacement from {r: 4, q: 3, l: 13}. Give prob of sequence lrl. Workthrough: 26/285 Q): Calculate prob of sequence cca when three letters picked without replacement from {f: 7, a: 3, c: 9}. Workthrough: 12/323 Q): Calculate prob of sequence qq when two letters picked without replacement from {v: 1, q: 3, t: 3}. Workthrough: 1/7 Q): Calculate prob of sequence xxx when three letters picked without replacement from tttttxxxtxxt. Workthrough: 1/22 Q): Calculate prob of sequence nc when two letters picked without replacement from vnncscvnvn. Workthrough: 4/45 Q): What is prob of sequence bb when two letters picked without replacement from eeeeeeebbebbbebeee? Workthrough: 5/51 Q): Calculate prob of sequence iq when two letters picked without replacement from qqqqobidbiqbw. Workthrough: 5/78 Q): Calculate prob of sequence sws when three letters picked without replacement from {e: 3, s: 3, w: 5}. Workthrough: 1/33 Q): What is prob of sequence tzt when three letters picked without replacement from {z: 3, t: 2}? Workthrough: 1/10 Q): Four letters picked without replacement from xxxyyyyyxy. Give prob of sequence yyyx. Workthrough: 2/21 Q): Two letters picked without replacement fr
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numbers: gcd ------------ Issue: What is the highest common factor of 285705 and 7? Ans: 7 Issue: Calculate the highest common factor of 26 and 3406. Ans: 26 Issue: What is the greatest common factor of 133977 and 47? Ans: 1 Issue: What is the greatest common divisor of 765 and 18? Ans: 9 Issue: Calculate the greatest common divisor of 18040 and 385. Ans: 55 Issue: Calculate the highest common factor of 10515 and 26064582. Ans: 2103 Issue: Calculate the highest common divisor of 4600 and 13067450. Ans: 1150 Issue: What is the greatest common factor of 41 and 82? Ans: 41 Issue: Calculate the highest common divisor of 96 and 55992. Ans: 24 Issue: What is the highest common divisor of 706 and 102? Ans: 2 Issue: What is the highest common factor of 644 and 112? Ans: 28 Issue: Calculate the greatest common factor of 18 and 258. Ans: 6 Issue: Calculate the greatest common divisor of 93327 and 39. Ans: 39 Issue: What is the greatest common factor of 129 and 30? Ans: 3 Issue: Calculate the highest common factor of 5930047 and 214. Ans: 107 Issue: What is the highest common divisor of 369907 and 168907? Ans: 67 Issue: What is the greatest common divisor of 124531 and 22? Ans: 11 Issue: Calculate the greatest common factor of 8292 and 704934015. Ans: 2073 Issue: What is the highest common factor of 7 and 63? Ans: 7 Issue: Calculate the greatest common divisor of 136870861 and 69. Ans: 23 Issue: Calculate the greatest common divisor of 371 and 53. Ans: 53 Issue: Calculate the greatest common divisor of 4779 and 162. Ans: 81 Issue: What is the greatest common divisor of 24203126 and 1426? Ans: 62 Issue: What is the greatest common divisor of 6 and 294? Ans: 6 Issue: What is the highest common factor of 1078423 and 58? Ans: 29 Issue: Calculate the greatest common factor of 2622 and 6. Ans: 6 Issue: What is the greatest common factor of 429 and 1599? Ans: 39 Issue: What is the greatest common factor of 1815 and 4125? Ans: 165 Issue: Calculate the highest common factor of 16 and 3
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numbers: place value -------------------- Q-: What is the tens digit of 165? Reply: 6 Q-: What is the hundred thousands digit of 230446? Reply: 2 Q-: What is the millions digit of 20096923? Reply: 0 Q-: What is the units digit of 10609856? Reply: 6 Q-: What is the hundreds digit of 3530? Reply: 5 Q-: What is the thousands digit of 1585? Reply: 1 Q-: What is the thousands digit of 2687378? Reply: 7 Q-: What is the ten thousands digit of 37333767? Reply: 3 Q-: What is the hundreds digit of 1810? Reply: 8 Q-: What is the units digit of 163? Reply: 3 Q-: What is the tens digit of 2418? Reply: 1 Q-: What is the units digit of 216662? Reply: 2 Q-: What is the hundred millions digit of 276942417? Reply: 2 Q-: What is the millions digit of 1315063? Reply: 1 Q-: What is the hundred thousands digit of 5442623? Reply: 4 Q-: What is the hundreds digit of 19640? Reply: 6 Q-: What is the thousands digit of 48763748? Reply: 3 Q-: What is the tens digit of 1121? Reply: 2 Q-: What is the hundred millions digit of 1518188147? Reply: 5 Q-: What is the hundred millions digit of 1681356827? Reply: 6 Q-: What is the hundreds digit of 99719? Reply: 7 Q-: What is the ten millions digit of 1491014011? Reply: 9 Q-: What is the hundred thousands digit of 6667602? Reply: 6 Q-: What is the units digit of 2678647? Reply: 7 Q-: What is the hundreds digit of 8684082? Reply: 0 Q-: What is the hundreds digit of 73006? Reply: 0 Q-: What is the tens digit of 546562? Reply: 6 Q-: What is the units digit of 1145020? Reply: 0 Q-: What is the hundreds digit of 28721? Reply: 7 Q-: What is the units digit of 32067689? Reply: 9 Q-: What is the ten thousands digit of 178042? Reply: 7 Q-: What is the ten millions digit of 18190611? Reply: 1 Q-: What is the tens digit of 4954? Reply: 5 Q-: What is the ten thousands digit of 96953? Reply: 9 Q-: What is the units digit of 264335? Reply: 5 Q-: What is the hundreds digit of 135889? Reply: 8 Q-: What is the millions digit of 398785148? Reply: 8 Q-: What is the thous
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numbers: is factor ------------------ Problem: Is 67067290 a multiple of 365? Clarification: True Problem: Is 32041 a multiple of 62? Clarification: False Problem: Is 684 a factor of 2374771? Clarification: False Problem: Is 203 a factor of 1771744? Clarification: False Problem: Is 9 a factor of 85291? Clarification: False Problem: Does 12 divide 400476060? Clarification: True Problem: Is 2050573 a multiple of 95? Clarification: False Problem: Is 4 a factor of 48539505? Clarification: False Problem: Does 14 divide 1530? Clarification: False Problem: Is 5514 a multiple of 119? Clarification: False Problem: Does 1347 divide 2626650? Clarification: True Problem: Is 6 a factor of 3339658? Clarification: False Problem: Is 200 a factor of 99000? Clarification: True Problem: Is 5052518 a multiple of 39? Clarification: False Problem: Is 4892 a multiple of 37? Clarification: False Problem: Does 19 divide 844569? Clarification: True Problem: Is 76407 a multiple of 208? Clarification: False Problem: Is 106936 a multiple of 58? Clarification: False Problem: Is 938046 a multiple of 273? Clarification: False Problem: Is 2256 a multiple of 24? Clarification: True Problem: Does 25 divide 50? Clarification: True Problem: Does 11 divide 291? Clarification: False Problem: Is 739597848 a multiple of 3? Clarification: True Problem: Does 15 divide 5649? Clarification: False Problem: Is 12784 a multiple of 17? Clarification: True Problem: Is 793 a multiple of 36? Clarification: False Problem: Is 2380753 a multiple of 23? Clarification: True Problem: Is 358 a factor of 77765147? Clarification: False Problem: Is 376365 a multiple of 15? Clarification: True Problem: Is 6465852 a multiple of 621? Clarification: True Problem: Is 54 a factor of 1162? Clarification: False Problem: Does 14 divide 84? Clarification: True Problem: Does 8 divide 11664? Clarification: True Problem: Is 26183494 a multiple of 2701? Clarification: True Problem: Does 7 divide 2827372? Clarification: False Problem: Does 1
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numbers: is factor ------------------ Let us solve: Is 8 a factor of 2152? Steps: True Let us solve: Does 58 divide 1856? Steps: True Let us solve: Is 618071 a multiple of 229? Steps: True Let us solve: Is 848726 a multiple of 47? Steps: True Let us solve: Is 11 a factor of 902? Steps: True Let us solve: Is 21642135 a multiple of 1301? Steps: True Let us solve: Is 5959605 a multiple of 12? Steps: False Let us solve: Does 243 divide 1401381? Steps: True Let us solve: Is 1382 a factor of 112200434? Steps: True Let us solve: Is 36 a factor of 340351? Steps: False Let us solve: Does 8 divide 56? Steps: True Let us solve: Is 19228 a multiple of 23? Steps: True Let us solve: Does 17 divide 935? Steps: True Let us solve: Does 20 divide 9807020? Steps: True Let us solve: Is 226588 a multiple of 74? Steps: True Let us solve: Does 143 divide 649506? Steps: True Let us solve: Is 3 a factor of 50661? Steps: True Let us solve: Is 49 a factor of 11147? Steps: False Let us solve: Is 787258 a multiple of 18? Steps: False Let us solve: Is 34 a factor of 9019? Steps: False Let us solve: Does 398 divide 5673092? Steps: True Let us solve: Does 159 divide 1854831? Steps: False Let us solve: Does 5 divide 5650? Steps: True Let us solve: Is 12388 a multiple of 19? Steps: True Let us solve: Is 1203 a multiple of 18? Steps: False Let us solve: Is 14 a factor of 3934? Steps: True Let us solve: Does 9 divide 16058? Steps: False Let us solve: Is 1071459 a multiple of 47? Steps: True Let us solve: Does 17 divide 323? Steps: True Let us solve: Does 22 divide 29413362? Steps: True Let us solve: Is 38 a factor of 2215058? Steps: True Let us solve: Is 247 a factor of 2341066? Steps: True Let us solve: Is 191 a factor of 429941? Steps: True Let us solve: Is 7415 a factor of 634197535? Steps: True Let us solve: Does 194 divide 42348? Steps: False Let us solve: Does 186 divide 5418366? Steps: True Let us solve: Is 39 a factor of 2067? Steps: True Let us solve: Is 657 a factor of 23703246? Steps: True
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numbers: place value -------------------- Question: What is the units digit of 3432? Sol: 2 Question: What is the ten millions digit of 1072024276? Sol: 7 Question: What is the units digit of 103522604? Sol: 4 Question: What is the ten millions digit of 1478450614? Sol: 7 Question: What is the units digit of 23548515? Sol: 5 Question: What is the thousands digit of 206277? Sol: 6 Question: What is the thousands digit of 68086? Sol: 8 Question: What is the hundred millions digit of 246445390? Sol: 2 Question: What is the millions digit of 99929230? Sol: 9 Question: What is the thousands digit of 273185867? Sol: 5 Question: What is the ten thousands digit of 88839? Sol: 8 Question: What is the tens digit of 35962? Sol: 6 Question: What is the units digit of 20334? Sol: 4 Question: What is the hundreds digit of 41508? Sol: 5 Question: What is the millions digit of 13501568? Sol: 3 Question: What is the millions digit of 69587868? Sol: 9 Question: What is the hundred millions digit of 706813550? Sol: 7 Question: What is the hundreds digit of 6868? Sol: 8 Question: What is the tens digit of 1429572? Sol: 7 Question: What is the hundreds digit of 507603? Sol: 6 Question: What is the hundreds digit of 4766? Sol: 7 Question: What is the units digit of 426150954? Sol: 4 Question: What is the millions digit of 35821516? Sol: 5 Question: What is the units digit of 857? Sol: 7 Question: What is the tens digit of 67557? Sol: 5 Question: What is the ten millions digit of 348016549? Sol: 4 Question: What is the units digit of 1381? Sol: 1 Question: What is the units digit of 6914? Sol: 4 Question: What is the thousands digit of 2567? Sol: 2 Question: What is the tens digit of 2589? Sol: 8 Question: What is the thousands digit of 8376? Sol: 8 Question: What is the units digit of 13638? Sol: 8 Question: What is the tens digit of 408? Sol: 0 Question: What is the millions digit of 124293105? Sol: 4 Question: What is the ten millions digit of 101418584? Sol: 0 Question: What is the th
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numbers: lcm ------------ Problem: What is the common denominator of -43/668 and -31/5010? Workthrough: 10020 Problem: Calculate the common denominator of 53/5250590 and 127/428844. Workthrough: 409546020 Problem: Calculate the least common multiple of 57825 and 1125. Workthrough: 289125 Problem: Calculate the least common multiple of 10 and 170. Workthrough: 170 Problem: Calculate the smallest common multiple of 24525 and 612. Workthrough: 1667700 Problem: Find the common denominator of 13/45866 and -30/7429. Workthrough: 1054918 Problem: What is the common denominator of -38/9 and 61/81? Workthrough: 81 Problem: What is the lowest common multiple of 1590 and 9? Workthrough: 4770 Problem: What is the smallest common multiple of 1640966 and 6? Workthrough: 4922898 Problem: Find the common denominator of -181/267540 and -1/735735. Workthrough: 2942940 Problem: Find the common denominator of -121/6 and -143/12. Workthrough: 12 Problem: What is the smallest common multiple of 748 and 340? Workthrough: 3740 Problem: What is the smallest common multiple of 223299 and 545842? Workthrough: 4912578 Problem: Calculate the common denominator of 67/28516 and 36. Workthrough: 28516 Problem: Calculate the smallest common multiple of 2503926 and 54. Workthrough: 2503926 Problem: What is the common denominator of -76/27 and 25/143016? Workthrough: 1287144 Problem: Find the common denominator of 59/73168272 and -59/62730. Workthrough: 365841360 Problem: Calculate the lowest common multiple of 5760 and 8. Workthrough: 5760 Problem: What is the smallest common multiple of 1 and 4805979? Workthrough: 4805979 Problem: Calculate the least common multiple of 2128 and 80. Workthrough: 10640 Problem: Find the common denominator of -103/527460 and -49/16527080. Workthrough: 49581240 Problem: What is the smallest common multiple of 319809 and 42777? Workthrough: 6715989 Problem: Calculate the common denominator of 13/145 and -127/1980. Workthrough: 57420 Problem: What is the smallest common
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numbers: div remainder ---------------------- Given: Calculate the remainder when 345 is divided by 12. A.: 9 Given: What is the remainder when 24763962 is divided by 2592? A.: 2586 Given: Calculate the remainder when 1233001593 is divided by 1438. A.: 1435 Given: What is the remainder when 211 is divided by 21? A.: 1 Given: Calculate the remainder when 219 is divided by 12. A.: 3 Given: Calculate the remainder when 2960 is divided by 888. A.: 296 Given: Calculate the remainder when 250287860 is divided by 2542. A.: 2540 Given: What is the remainder when 1035987 is divided by 324? A.: 159 Given: Calculate the remainder when 598 is divided by 223. A.: 152 Given: What is the remainder when 92 is divided by 63? A.: 29 Given: What is the remainder when 97699889 is divided by 5204? A.: 5197 Given: What is the remainder when 1178 is divided by 1050? A.: 128 Given: What is the remainder when 866095 is divided by 592? A.: 591 Given: What is the remainder when 1672614 is divided by 9344? A.: 38 Given: What is the remainder when 403686 is divided by 1565? A.: 1481 Given: Calculate the remainder when 3845772 is divided by 290. A.: 82 Given: Calculate the remainder when 264 is divided by 38. A.: 36 Given: What is the remainder when 1177 is divided by 3? A.: 1 Given: What is the remainder when 33534 is divided by 2719? A.: 906 Given: What is the remainder when 4171 is divided by 1378? A.: 37 Given: What is the remainder when 358674 is divided by 17933? A.: 14 Given: What is the remainder when 112924 is divided by 34? A.: 10 Given: Calculate the remainder when 7305580 is divided by 539. A.: 513 Given: What is the remainder when 379936 is divided by 83? A.: 45 Given: What is the remainder when 1225 is divided by 1154? A.: 71 Given: What is the remainder when 768 is divided by 43? A.: 37 Given: Calculate the remainder when 1534 is divided by 439. A.: 217 Given: What is the remainder when 21498 is divided by 250? A.: 248 Given: What is the remainder when 129175 is divided by 1678? A
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probability: swr p sequence --------------------------- Part A: Calculate prob of sequence qqh when three letters picked without replacement from qujjphjhqhjj. Calculation: 1/220 Part A: What is prob of sequence utu when three letters picked without replacement from uhuuuuuuuuhutuhuuuhh? Calculation: 91/3420 Part A: Calculate prob of sequence ss when two letters picked without replacement from {g: 2, h: 1, s: 2, q: 1}. Calculation: 1/15 Part A: Two letters picked without replacement from {s: 1, x: 4, y: 5, c: 3}. Give prob of sequence sc. Calculation: 1/52 Part A: Three letters picked without replacement from odook. Give prob of sequence odk. Calculation: 1/20 Part A: Two letters picked without replacement from {f: 1, r: 1, h: 1}. What is prob of sequence rh? Calculation: 1/6 Part A: Calculate prob of sequence xz when two letters picked without replacement from {x: 3, z: 2}. Calculation: 3/10 Part A: Two letters picked without replacement from {n: 3, r: 5, q: 3, j: 2, x: 2}. What is prob of sequence xn? Calculation: 1/35 Part A: Two letters picked without replacement from iplirimlixil. Give prob of sequence mp. Calculation: 1/132 Part A: Two letters picked without replacement from {q: 3, s: 1, u: 1, h: 2, z: 5, d: 1}. Give prob of sequence zh. Calculation: 5/78 Part A: Three letters picked without replacement from oqssqsqqsqsssooo. Give prob of sequence qss. Calculation: 1/16 Part A: Four letters picked without replacement from {e: 3, b: 2, r: 1, q: 4}. What is prob of sequence bqee? Calculation: 1/105 Part A: Three letters picked without replacement from {e: 4, j: 2}. What is prob of sequence eej? Calculation: 1/5 Part A: What is prob of sequence see when three letters picked without replacement from qqehssle? Calculation: 1/84 Part A: Four letters picked without replacement from {u: 3, f: 4, g: 4, a: 5}. What is prob of sequence afuf? Calculation: 3/728 Part A: Calculate prob of sequence yyyy when four letters picked without replacement from yyyyyyy. Calculation:
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probability: swr p sequence --------------------------- Topic: Two letters picked without replacement from ttttttt. Give prob of sequence tt. Fix: 1 Topic: What is prob of sequence hk when two letters picked without replacement from {f: 2, k: 1, h: 1, y: 1}? Fix: 1/20 Topic: What is prob of sequence maam when four letters picked without replacement from amaaaamama? Fix: 1/20 Topic: What is prob of sequence ccc when three letters picked without replacement from {s: 2, c: 8, d: 4}? Fix: 2/13 Topic: Calculate prob of sequence tsvt when four letters picked without replacement from {s: 1, t: 2, v: 1}. Fix: 1/12 Topic: Four letters picked without replacement from dppudpdodpdod. Give prob of sequence pdop. Fix: 6/715 Topic: Calculate prob of sequence ss when two letters picked without replacement from zzezesqeszsee. Fix: 1/26 Topic: Two letters picked without replacement from ellprplerelrlre. What is prob of sequence rr? Fix: 2/35 Topic: Three letters picked without replacement from {n: 6, k: 1, i: 3, j: 3}. Give prob of sequence jjn. Fix: 3/143 Topic: What is prob of sequence whw when three letters picked without replacement from {h: 1, y: 2, a: 5, w: 8}? Fix: 1/60 Topic: Calculate prob of sequence ivh when three letters picked without replacement from ivhyv. Fix: 1/30 Topic: Two letters picked without replacement from fexffmfmfyxmmfmxm. Give prob of sequence ey. Fix: 1/272 Topic: Calculate prob of sequence pppp when four letters picked without replacement from hphhhhhhhhhhhhh. Fix: 0 Topic: Four letters picked without replacement from {o: 2, f: 1, m: 1, y: 1}. What is prob of sequence yomo? Fix: 1/60 Topic: Three letters picked without replacement from {t: 10, r: 1, z: 6}. Give prob of sequence zzr. Fix: 1/136 Topic: Three letters picked without replacement from gggjggjgjjxjgv. What is prob of sequence xgv? Fix: 1/312 Topic: Three letters picked without replacement from {r: 1, t: 3, w: 4, c: 3}. Give prob of sequence ttc. Fix: 1/55 Topic: Calculate prob of sequence qj wh
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probability: swr p sequence --------------------------- Task: What is prob of sequence apkk when four letters picked without replacement from apkakaaakpaakka? Output: 8/819 Task: Four letters picked without replacement from {o: 7, y: 3, q: 3, p: 4, k: 2}. Give prob of sequence pyyq. Output: 1/1292 Task: Three letters picked without replacement from pnsbsbnpbnb. What is prob of sequence bpn? Output: 4/165 Task: Four letters picked without replacement from {l: 3, y: 3, w: 5, z: 1}. What is prob of sequence lwww? Output: 1/66 Task: What is prob of sequence wr when two letters picked without replacement from {m: 9, r: 1, w: 1}? Output: 1/110 Task: Calculate prob of sequence rr when two letters picked without replacement from {r: 3, o: 4}. Output: 1/7 Task: Two letters picked without replacement from zbzb. What is prob of sequence bb? Output: 1/6 Task: Four letters picked without replacement from wwrlmkllhrr. What is prob of sequence mwrh? Output: 1/1320 Task: Calculate prob of sequence rreb when four letters picked without replacement from rereeerb. Output: 1/70 Task: What is prob of sequence gs when two letters picked without replacement from rssgrssrssgtsnsssgs? Output: 11/114 Task: Four letters picked without replacement from {o: 1, m: 1, t: 2, x: 1}. Give prob of sequence xttt. Output: 0 Task: Four letters picked without replacement from {o: 2, w: 2, m: 2, e: 3, f: 4, q: 1}. What is prob of sequence wfwm? Output: 2/3003 Task: Three letters picked without replacement from bffbfuuboffbiibbfufb. What is prob of sequence uii? Output: 1/1140 Task: What is prob of sequence aaja when four letters picked without replacement from jaaajaaajajj? Output: 35/396 Task: Two letters picked without replacement from arphmrs. Give prob of sequence hr. Output: 1/21 Task: Two letters picked without replacement from cmmccccc. Give prob of sequence cm. Output: 3/14 Task: Two letters picked without replacement from {f: 5, p: 1, u: 7}. What is prob of sequence fp? Output: 5/156 Task: Four l
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numbers: is prime ----------------- Problem #: Is 8017239353 composite? Workthrough: False Problem #: Is 3778 composite? Workthrough: True Problem #: Is 2171009 composite? Workthrough: True Problem #: Is 160249 composite? Workthrough: True Problem #: Is 1797443 a prime number? Workthrough: False Problem #: Is 302038463 a prime number? Workthrough: True Problem #: Is 163067511 prime? Workthrough: False Problem #: Is 1556867 composite? Workthrough: True Problem #: Is 192685865411 a composite number? Workthrough: True Problem #: Is 13405751 composite? Workthrough: False Problem #: Is 5324353 a prime number? Workthrough: True Problem #: Is 4547 composite? Workthrough: False Problem #: Is 1103817147 a composite number? Workthrough: True Problem #: Is 857747 a composite number? Workthrough: True Problem #: Is 171233 prime? Workthrough: True Problem #: Is 58659 prime? Workthrough: False Problem #: Is 2275699 prime? Workthrough: False Problem #: Is 287953 prime? Workthrough: False Problem #: Is 332257007 a composite number? Workthrough: True Problem #: Is 3717624751 a composite number? Workthrough: True Problem #: Is 35925899 composite? Workthrough: False Problem #: Is 80543 composite? Workthrough: True Problem #: Is 173637629 composite? Workthrough: True Problem #: Is 48437 composite? Workthrough: False Problem #: Is 598042261 a prime number? Workthrough: True Problem #: Is 1157465 composite? Workthrough: True Problem #: Is 2351591857 prime? Workthrough: True Problem #: Is 43166869 a composite number? Workthrough: True Problem #: Is 310861 prime? Workthrough: True Problem #: Is 92657 a composite number? Workthrough: False Problem #: Is 25425692953 a prime number? Workthrough: False Problem #: Is 199649219567 prime? Workthrough: False Problem #: Is 52158343 a prime number? Workthrough: True Problem #: Is 28050760973 a prime number? Workthrough: False Problem #: Is 89173 a prime number? Workthrough: False Problem #: Is 181711 a composite number? Workthrough: False Problem #:
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numbers: is prime ----------------- Example: Is 2077209649 composite? Solution: True Example: Is 18927941 a composite number? Solution: True Example: Is 12957109 prime? Solution: False Example: Is 159990839 composite? Solution: True Example: Is 138959 a composite number? Solution: False Example: Is 12963407 composite? Solution: False Example: Is 295129477 a prime number? Solution: True Example: Is 708251 composite? Solution: False Example: Is 10975355219 prime? Solution: False Example: Is 125723138227 a composite number? Solution: True Example: Is 1780917371 a composite number? Solution: False Example: Is 45505210801 a prime number? Solution: True Example: Is 208051 composite? Solution: True Example: Is 2788438633 a prime number? Solution: False Example: Is 655351 prime? Solution: True Example: Is 6641 a prime number? Solution: False Example: Is 4831 composite? Solution: False Example: Is 59269 prime? Solution: False Example: Is 14591 a prime number? Solution: True Example: Is 475799 a composite number? Solution: True Example: Is 47239 a prime number? Solution: False Example: Is 204974519 composite? Solution: True Example: Is 5387 a prime number? Solution: True Example: Is 2386173841 a composite number? Solution: True Example: Is 17447813 a prime number? Solution: True Example: Is 14717887829 composite? Solution: True Example: Is 583841 a prime number? Solution: True Example: Is 5436118771 a prime number? Solution: True Example: Is 16819169 composite? Solution: False Example: Is 1807820017 a prime number? Solution: False Example: Is 1069 a composite number? Solution: False Example: Is 37295659 a prime number? Solution: True Example: Is 18353 prime? Solution: True Example: Is 401804366 composite? Solution: True Example: Is 522191 a composite number? Solution: False Example: Is 1041968243 prime? Solution: True Example: Is 4901623 a prime number? Solution: True Example: Is 96059131 prime? Solution: False Example: Is 1145509327 a prime number? Solution: True Example: Is
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measurement: conversion ----------------------- Subquestion: How many years are there in 27/5 of a millennium? Resolution: 5400 Subquestion: How many meters are there in three eighths of a kilometer? Resolution: 375 Subquestion: Convert 3.177742 tonnes to kilograms. Resolution: 3177.742 Subquestion: How many microseconds are there in three tenths of a millisecond? Resolution: 300 Subquestion: Convert 716.0372um to meters. Resolution: 0.0007160372 Subquestion: What is 3/50 of a milligram in micrograms? Resolution: 60 Subquestion: How many months are there in 28/15 of a century? Resolution: 2240 Subquestion: What is seven halves of a millennium in centuries? Resolution: 35 Subquestion: How many months are there in 13/8 of a century? Resolution: 1950 Subquestion: How many milliseconds are there in 1/24 of a minute? Resolution: 2500 Subquestion: Convert 2442572.28us to days. Resolution: 0.0000282705125 Subquestion: Convert 12.13819 micrograms to kilograms. Resolution: 0.00000001213819 Subquestion: How many minutes are there in three sevenths of a week? Resolution: 4320 Subquestion: How many micrometers are there in 7/2 of a millimeter? Resolution: 3500 Subquestion: What is 1/5 of a centimeter in micrometers? Resolution: 2000 Subquestion: What is 58.746ug in tonnes? Resolution: 0.000000000058746 Subquestion: How many centimeters are there in 6/25 of a meter? Resolution: 24 Subquestion: How many centuries are there in fourty-nine fifths of a millennium? Resolution: 98 Subquestion: How many nanoseconds are there in 728510.9 days? Resolution: 62943341760000000000 Subquestion: How many milliseconds are there in 141342.3 days? Resolution: 12211974720000 Subquestion: What is 1/56 of a week in hours? Resolution: 3 Subquestion: How many years are there in 1.5150714 months? Resolution: 0.12625595 Subquestion: What is 42/5 of a microgram in nanograms? Resolution: 8400 Subquestion: How many years are there in 3/50 of a century? Resolution: 6 Subquestion: How many millilitres are th
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numbers: gcd ------------ Q: Calculate the greatest common factor of 21505 and 6110225. Answer: 935 Q: What is the highest common factor of 425508 and 1884? Answer: 12 Q: What is the greatest common factor of 37655872 and 275481? Answer: 3401 Q: What is the highest common factor of 365 and 85? Answer: 5 Q: What is the highest common divisor of 16089 and 3379? Answer: 31 Q: Calculate the highest common divisor of 27066 and 69888. Answer: 78 Q: Calculate the highest common divisor of 630 and 2966565. Answer: 105 Q: Calculate the greatest common factor of 14688 and 36. Answer: 36 Q: What is the greatest common divisor of 8246 and 103292? Answer: 434 Q: What is the greatest common divisor of 393 and 3? Answer: 3 Q: Calculate the greatest common divisor of 267809 and 53. Answer: 53 Q: Calculate the highest common divisor of 3516 and 1. Answer: 1 Q: What is the greatest common factor of 70 and 200172? Answer: 14 Q: Calculate the greatest common divisor of 3966954 and 327516. Answer: 3342 Q: Calculate the highest common factor of 3038 and 3412850. Answer: 98 Q: Calculate the highest common factor of 2047 and 173915167. Answer: 2047 Q: What is the greatest common factor of 52134781 and 593? Answer: 593 Q: Calculate the greatest common factor of 490 and 133315. Answer: 35 Q: Calculate the greatest common factor of 288 and 9. Answer: 9 Q: What is the greatest common factor of 29808 and 516? Answer: 12 Q: What is the highest common factor of 296 and 1010692? Answer: 148 Q: What is the highest common factor of 974788 and 2784? Answer: 4 Q: Calculate the greatest common factor of 224114 and 638. Answer: 22 Q: What is the greatest common divisor of 1234965 and 23547? Answer: 501 Q: What is the greatest common factor of 295892440 and 5374? Answer: 5374 Q: Calculate the highest common divisor of 1053 and 39. Answer: 39 Q: What is the highest common factor of 11 and 4037? Answer: 11 Q: Calculate the highest common factor of 7426 and 12878. Answer: 94 Q: Calculate the greatest common
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numbers: gcd ------------ Situation: What is the highest common divisor of 114 and 12168417? Outcome: 57 Situation: What is the highest common divisor of 4959 and 17613? Outcome: 171 Situation: Calculate the highest common divisor of 224 and 1960. Outcome: 56 Situation: Calculate the highest common divisor of 1364 and 220. Outcome: 44 Situation: What is the highest common divisor of 26 and 729740206? Outcome: 26 Situation: What is the highest common factor of 42 and 123256? Outcome: 14 Situation: What is the greatest common divisor of 353961 and 94671? Outcome: 603 Situation: What is the highest common factor of 501 and 5344? Outcome: 167 Situation: What is the greatest common divisor of 125 and 4635000? Outcome: 125 Situation: What is the highest common factor of 43665 and 115233? Outcome: 213 Situation: Calculate the highest common divisor of 240 and 27019536. Outcome: 48 Situation: Calculate the greatest common divisor of 50 and 3375. Outcome: 25 Situation: What is the greatest common divisor of 660 and 96? Outcome: 12 Situation: What is the greatest common factor of 60572 and 722? Outcome: 38 Situation: Calculate the greatest common divisor of 12 and 112092. Outcome: 12 Situation: Calculate the greatest common divisor of 22510 and 250. Outcome: 10 Situation: Calculate the highest common divisor of 39 and 84645756. Outcome: 39 Situation: What is the highest common divisor of 89 and 7209? Outcome: 89 Situation: What is the highest common divisor of 14 and 6? Outcome: 2 Situation: What is the highest common factor of 12 and 4881? Outcome: 3 Situation: Calculate the greatest common divisor of 12175 and 75. Outcome: 25 Situation: Calculate the highest common factor of 44 and 46772. Outcome: 44 Situation: Calculate the highest common divisor of 2057 and 62951. Outcome: 17 Situation: What is the highest common divisor of 242678 and 717668? Outcome: 142 Situation: What is the highest common factor of 2116 and 2392? Outcome: 92 Situation: Calculate the highest common div
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numbers: is factor ------------------ Statement: Is 977361051 a multiple of 2695? Outcome: False Statement: Does 191 divide 84318517? Outcome: False Statement: Is 17 a factor of 4757084884? Outcome: False Statement: Is 14 a factor of 19463968? Outcome: False Statement: Is 75 a factor of 14040795? Outcome: False Statement: Does 114 divide 15616? Outcome: False Statement: Is 42 a factor of 10626462? Outcome: True Statement: Is 291756 a multiple of 41? Outcome: True Statement: Does 306 divide 67895491? Outcome: False Statement: Is 273011 a multiple of 19? Outcome: True Statement: Does 14 divide 5652315? Outcome: False Statement: Does 8 divide 22366? Outcome: False Statement: Does 13 divide 1437? Outcome: False Statement: Is 47281946 a multiple of 13? Outcome: False Statement: Is 2190 a multiple of 30? Outcome: True Statement: Is 34 a factor of 74698? Outcome: True Statement: Is 42432 a multiple of 104? Outcome: True Statement: Does 1669 divide 536633895? Outcome: False Statement: Does 39 divide 1227749? Outcome: False Statement: Is 3314242 a multiple of 144? Outcome: False Statement: Is 243 a factor of 173476? Outcome: False Statement: Is 785494 even? Outcome: True Statement: Is 5246 a factor of 624893028? Outcome: True Statement: Is 5 a factor of 6166? Outcome: False Statement: Is 27 a factor of 427275? Outcome: True Statement: Does 5 divide 120759623? Outcome: False Statement: Is 3 a factor of 70271800? Outcome: False Statement: Is 119440700 a multiple of 50? Outcome: True Statement: Does 89 divide 272445020? Outcome: True Statement: Is 9937091 a multiple of 301? Outcome: False Statement: Is 176064 a multiple of 96? Outcome: True Statement: Is 6849764 a multiple of 52? Outcome: False Statement: Is 120864 a multiple of 111? Outcome: False Statement: Does 1081 divide 1049565? Outcome: False Statement: Is 52 a factor of 50563? Outcome: False Statement: Is 267 even? Outcome: False Statement: Is 8 a factor of 79438? Outcome: False Statement: Does 6 divide 48? Outcome: Tru
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numbers: lcm ------------ Situation: Calculate the common denominator of 49/234 and -155/234. Compute: 234 Situation: What is the lowest common multiple of 240 and 970? Compute: 23280 Situation: What is the smallest common multiple of 8 and 1652216? Compute: 1652216 Situation: What is the lowest common multiple of 125 and 175? Compute: 875 Situation: Calculate the common denominator of 67/532 and -67/24. Compute: 3192 Situation: Find the common denominator of 17/5238 and -8/279. Compute: 162378 Situation: What is the common denominator of 13/2592 and 103/54? Compute: 2592 Situation: Calculate the smallest common multiple of 440860 and 602. Compute: 18956980 Situation: Calculate the lowest common multiple of 1680 and 12810. Compute: 102480 Situation: What is the least common multiple of 22609796 and 55? Compute: 113048980 Situation: What is the common denominator of 103/180 and 67/477? Compute: 9540 Situation: Calculate the common denominator of 35/407 and 62/5. Compute: 2035 Situation: What is the common denominator of -111/1125332 and -49/33592? Compute: 2250664 Situation: Calculate the lowest common multiple of 40 and 25. Compute: 200 Situation: Find the common denominator of -65/24 and 121/160. Compute: 480 Situation: What is the least common multiple of 975 and 84? Compute: 27300 Situation: Find the common denominator of -24/939985 and -99/50810. Compute: 1879970 Situation: Calculate the least common multiple of 10128 and 56. Compute: 70896 Situation: Find the common denominator of -37/59852049 and -8/234327. Compute: 1137188931 Situation: Find the common denominator of 49/18 and 7/43215. Compute: 259290 Situation: Find the common denominator of -57/104 and -59/52. Compute: 104 Situation: What is the smallest common multiple of 33550 and 60? Compute: 201300 Situation: What is the common denominator of -109/32230 and -1/14064? Compute: 773520 Situation: Calculate the lowest common multiple of 474 and 324. Compute: 25596 Situation: What is the least common multipl
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numbers: div remainder ---------------------- Subquestion: What is the remainder when 209 is divided by 19? Steps: 0 Subquestion: Calculate the remainder when 620944 is divided by 40. Steps: 24 Subquestion: What is the remainder when 83719 is divided by 82? Steps: 79 Subquestion: Calculate the remainder when 963 is divided by 955. Steps: 8 Subquestion: Calculate the remainder when 32488264 is divided by 8122056. Steps: 40 Subquestion: Calculate the remainder when 1433 is divided by 394. Steps: 251 Subquestion: Calculate the remainder when 515 is divided by 136. Steps: 107 Subquestion: What is the remainder when 360813 is divided by 89? Steps: 7 Subquestion: Calculate the remainder when 4894 is divided by 977. Steps: 9 Subquestion: Calculate the remainder when 2961 is divided by 56. Steps: 49 Subquestion: What is the remainder when 2656003 is divided by 281? Steps: 272 Subquestion: Calculate the remainder when 2617 is divided by 187. Steps: 186 Subquestion: Calculate the remainder when 2912060 is divided by 1958. Steps: 514 Subquestion: What is the remainder when 3947 is divided by 563? Steps: 6 Subquestion: What is the remainder when 4329 is divided by 1066? Steps: 65 Subquestion: Calculate the remainder when 2080276 is divided by 1260. Steps: 16 Subquestion: What is the remainder when 28057143 is divided by 19? Steps: 14 Subquestion: What is the remainder when 1779540 is divided by 53? Steps: 12 Subquestion: What is the remainder when 244710 is divided by 6467? Steps: 5431 Subquestion: Calculate the remainder when 58303335 is divided by 952. Steps: 951 Subquestion: What is the remainder when 503 is divided by 42? Steps: 41 Subquestion: What is the remainder when 10505 is divided by 39? Steps: 14 Subquestion: What is the remainder when 2107166 is divided by 32? Steps: 30 Subquestion: Calculate the remainder when 68 is divided by 25. Steps: 18 Subquestion: What is the remainder when 22811 is divided by 5428? Steps: 1099 Subquestion: Calculate the remainder when 11438
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numbers: div remainder ---------------------- Subject: Calculate the remainder when 241612 is divided by 2543. Solution: 27 Subject: What is the remainder when 2190 is divided by 436? Solution: 10 Subject: Calculate the remainder when 9874 is divided by 985. Solution: 24 Subject: Calculate the remainder when 37424678 is divided by 26. Solution: 18 Subject: What is the remainder when 178 is divided by 74? Solution: 30 Subject: What is the remainder when 6529 is divided by 344? Solution: 337 Subject: Calculate the remainder when 4285 is divided by 215. Solution: 200 Subject: Calculate the remainder when 4881966 is divided by 691. Solution: 51 Subject: Calculate the remainder when 87420 is divided by 575. Solution: 20 Subject: Calculate the remainder when 6282661 is divided by 50. Solution: 11 Subject: What is the remainder when 471 is divided by 70? Solution: 51 Subject: Calculate the remainder when 1439244 is divided by 9857. Solution: 122 Subject: What is the remainder when 54 is divided by 20? Solution: 14 Subject: What is the remainder when 165784 is divided by 143? Solution: 47 Subject: Calculate the remainder when 627449 is divided by 705. Solution: 704 Subject: Calculate the remainder when 479205 is divided by 1571. Solution: 50 Subject: Calculate the remainder when 338 is divided by 103. Solution: 29 Subject: Calculate the remainder when 3389 is divided by 998. Solution: 395 Subject: What is the remainder when 3424628 is divided by 112? Solution: 4 Subject: Calculate the remainder when 66 is divided by 23. Solution: 20 Subject: What is the remainder when 31889231 is divided by 142? Solution: 7 Subject: Calculate the remainder when 319303 is divided by 9978. Solution: 7 Subject: Calculate the remainder when 52746210 is divided by 143. Solution: 88 Subject: What is the remainder when 786543 is divided by 72? Solution: 15 Subject: Calculate the remainder when 267 is divided by 254. Solution: 13 Subject: What is the remainder when 411025 is divided by 382? Solutio
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probability: swr p sequence --------------------------- Query: What is prob of sequence skks when four letters picked without replacement from {m: 4, s: 2, l: 1, k: 7}? Explanation: 1/286 Query: Calculate prob of sequence mqm when three letters picked without replacement from hqqmmqq. Explanation: 4/105 Query: Three letters picked without replacement from cscscsssssccccsssss. Give prob of sequence scc. Explanation: 28/323 Query: What is prob of sequence zggl when four letters picked without replacement from glgiizivgglivlvv? Explanation: 3/3640 Query: Two letters picked without replacement from {z: 1, t: 3, b: 1}. What is prob of sequence zt? Explanation: 3/20 Query: What is prob of sequence jjj when three letters picked without replacement from {p: 1, y: 5, j: 3, b: 1}? Explanation: 1/120 Query: Two letters picked without replacement from {a: 1, n: 2, g: 1, j: 4}. What is prob of sequence jn? Explanation: 1/7 Query: Four letters picked without replacement from sjpj. What is prob of sequence jjps? Explanation: 1/12 Query: Three letters picked without replacement from uuxxn. Give prob of sequence uun. Explanation: 1/30 Query: Four letters picked without replacement from zzzzzzzzz. Give prob of sequence zzzz. Explanation: 1 Query: What is prob of sequence gg when two letters picked without replacement from {g: 3, k: 1}? Explanation: 1/2 Query: Two letters picked without replacement from kkkhkkjhkjjj. Give prob of sequence hk. Explanation: 1/11 Query: Calculate prob of sequence dxux when four letters picked without replacement from xdxxuuuxxnxr. Explanation: 1/132 Query: Two letters picked without replacement from pttttwpwowttotpttt. What is prob of sequence ot? Explanation: 10/153 Query: Calculate prob of sequence ou when two letters picked without replacement from uqoukkqkk. Explanation: 1/36 Query: Two letters picked without replacement from {d: 2, c: 1, j: 2, w: 1, q: 6}. Give prob of sequence dq. Explanation: 1/11 Query: Calculate prob of sequence pppg when four l
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numbers: gcd ------------ Query: Calculate the highest common factor of 3 and 1447503. Response: 3 Query: Calculate the greatest common divisor of 3431 and 47. Response: 47 Query: What is the greatest common divisor of 1432193 and 553? Response: 7 Query: Calculate the greatest common divisor of 2417276 and 44. Response: 4 Query: What is the highest common factor of 1152 and 2205? Response: 9 Query: What is the greatest common factor of 221 and 13022? Response: 17 Query: What is the greatest common divisor of 2847 and 2388633? Response: 2847 Query: Calculate the greatest common divisor of 592 and 185. Response: 37 Query: Calculate the highest common factor of 614 and 290650. Response: 2 Query: Calculate the highest common divisor of 2323 and 1111. Response: 101 Query: Calculate the highest common factor of 66 and 18. Response: 6 Query: What is the highest common factor of 26779 and 488? Response: 61 Query: Calculate the greatest common factor of 66 and 190707. Response: 33 Query: Calculate the greatest common factor of 21 and 134910. Response: 3 Query: Calculate the greatest common factor of 1616 and 40. Response: 8 Query: What is the greatest common factor of 1782 and 726? Response: 66 Query: What is the greatest common divisor of 1350 and 459? Response: 27 Query: Calculate the highest common divisor of 90 and 11550. Response: 30 Query: What is the greatest common divisor of 9514 and 4020? Response: 134 Query: Calculate the greatest common divisor of 5 and 8. Response: 1 Query: What is the highest common factor of 12 and 279150012? Response: 12 Query: Calculate the highest common divisor of 10004 and 56300011. Response: 2501 Query: Calculate the greatest common divisor of 698620 and 156. Response: 52 Query: Calculate the greatest common divisor of 76 and 764579. Response: 19 Query: What is the greatest common factor of 627540 and 328? Response: 4 Query: Calculate the greatest common factor of 273 and 66794. Response: 91 Query: What is the highest common divisor of 2
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arithmetic: nearest integer root -------------------------------- Ask: What is 41819 to the power of 1/3, to the nearest integer? Ans: 35 Ask: What is the third root of 1034473445 to the nearest integer? Ans: 1011 Ask: What is 112056 to the power of 1/8, to the nearest integer? Ans: 4 Ask: What is 424553517 to the power of 1/6, to the nearest integer? Ans: 27 Ask: What is 155526 to the power of 1/2, to the nearest integer? Ans: 394 Ask: What is 784614516 to the power of 1/2, to the nearest integer? Ans: 28011 Ask: What is 3748840 to the power of 1/2, to the nearest integer? Ans: 1936 Ask: What is the third root of 1478549 to the nearest integer? Ans: 114 Ask: What is the tenth root of 1878 to the nearest integer? Ans: 2 Ask: What is 3525388707 to the power of 1/5, to the nearest integer? Ans: 81 Ask: What is 43832610 to the power of 1/2, to the nearest integer? Ans: 6621 Ask: What is 17009 to the power of 1/3, to the nearest integer? Ans: 26 Ask: What is the fifth root of 294590 to the nearest integer? Ans: 12 Ask: What is 9059197 to the power of 1/9, to the nearest integer? Ans: 6 Ask: What is the third root of 325545 to the nearest integer? Ans: 69 Ask: What is 273 to the power of 1/9, to the nearest integer? Ans: 2 Ask: What is 31568 to the power of 1/7, to the nearest integer? Ans: 4 Ask: What is 12916485 to the power of 1/9, to the nearest integer? Ans: 6 Ask: What is 17375 to the power of 1/6, to the nearest integer? Ans: 5 Ask: What is the square root of 456440727 to the nearest integer? Ans: 21364 Ask: What is 2890063736 to the power of 1/2, to the nearest integer? Ans: 53759 Ask: What is the square root of 1297317628 to the nearest integer? Ans: 36018 Ask: What is the third root of 1429 to the nearest integer? Ans: 11 Ask: What is the seventh root of 178959259 to the nearest integer? Ans: 15 Ask: What is the square root of 1917 to the nearest integer? Ans: 44 Ask: What is the square root of 1359 to the nearest integer? Ans: 37 Ask: What is 1540 to the power
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probability: swr p sequence --------------------------- Example: Four letters picked without replacement from dajcdddacdcdddcdd. Give prob of sequence dcaj. Solution: 1/714 Example: Calculate prob of sequence sst when three letters picked without replacement from {v: 4, t: 2, s: 8}. Solution: 2/39 Example: What is prob of sequence tkgi when four letters picked without replacement from {g: 2, k: 2, t: 2, i: 4}? Solution: 2/315 Example: Three letters picked without replacement from ppiipippiipipi. What is prob of sequence iii? Solution: 5/52 Example: What is prob of sequence xxd when three letters picked without replacement from {x: 18, d: 1}? Solution: 1/19 Example: Two letters picked without replacement from qewqeefeweewyeeqeqw. Give prob of sequence qw. Solution: 8/171 Example: Calculate prob of sequence cwc when three letters picked without replacement from uccuckuwgwgvw. Solution: 3/286 Example: Four letters picked without replacement from fqqfqfqqffqqf. Give prob of sequence qfqf. Solution: 21/286 Example: What is prob of sequence wwee when four letters picked without replacement from wwwwewwwew? Solution: 1/45 Example: Two letters picked without replacement from axajyxlxaaqya. Give prob of sequence ly. Solution: 1/78 Example: Two letters picked without replacement from oceodocscd. Give prob of sequence oc. Solution: 1/10 Example: Calculate prob of sequence pl when two letters picked without replacement from {p: 4, e: 1, v: 9, l: 1, c: 1, h: 1}. Solution: 1/68 Example: Two letters picked without replacement from blybllybbyb. Give prob of sequence yb. Solution: 3/22 Example: Two letters picked without replacement from apylyyayjp. Give prob of sequence jl. Solution: 1/90 Example: Two letters picked without replacement from rrrrrrxrrrrrxrrrrrr. Give prob of sequence xr. Solution: 17/171 Example: Three letters picked without replacement from zehhzn. Give prob of sequence hez. Solution: 1/30 Example: Three letters picked without replacement from {p: 2, j: 1, h: 1, u:
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numbers: is prime ----------------- Query: Is 2768349511 prime? Key: True Query: Is 2501 a prime number? Key: False Query: Is 60797 composite? Key: True Query: Is 661197759 prime? Key: False Query: Is 900547 prime? Key: False Query: Is 595333 prime? Key: True Query: Is 133349175177 a composite number? Key: True Query: Is 13422839 a composite number? Key: True Query: Is 878003 a composite number? Key: True Query: Is 267185 composite? Key: True Query: Is 397577 a prime number? Key: False Query: Is 37481 a prime number? Key: False Query: Is 18323 prime? Key: False Query: Is 4561849 composite? Key: False Query: Is 3101591 composite? Key: False Query: Is 17024696911 a composite number? Key: False Query: Is 256931 composite? Key: False Query: Is 51242554399 composite? Key: False Query: Is 87313 composite? Key: False Query: Is 1231439078 a composite number? Key: True Query: Is 19373 a composite number? Key: False Query: Is 2752261 a prime number? Key: True Query: Is 975617371 a prime number? Key: False Query: Is 3154889 a composite number? Key: False Query: Is 981079 composite? Key: True Query: Is 38431 composite? Key: False Query: Is 65411284793 a prime number? Key: False Query: Is 172581 prime? Key: False Query: Is 74862343 prime? Key: True Query: Is 16393287683 a composite number? Key: False Query: Is 613957 composite? Key: False Query: Is 132929 a prime number? Key: True Query: Is 12574 composite? Key: True Query: Is 809 a composite number? Key: False Query: Is 73217 composite? Key: True Query: Is 11721 a composite number? Key: True Query: Is 40019407 composite? Key: False Query: Is 342952009 a composite number? Key: True Query: Is 12852914779 composite? Key: False Query: Is 1217 a prime number? Key: True Query: Is 11676000337 a prime number? Key: False Query: Is 6030022891 a composite number? Key: True Query: Is 15588252889 a prime number? Key: False Query: Is 23624477 composite? Key: True Query: Is 856233529 prime? Key: False Query: Is 81271 a prime number? Key: Fals
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numbers: place value -------------------- Example: What is the hundred thousands digit of 8752297? Steps: 7 Example: What is the hundred millions digit of 2179491511? Steps: 1 Example: What is the tens digit of 198901942? Steps: 4 Example: What is the units digit of 9780867? Steps: 7 Example: What is the tens digit of 1014454? Steps: 5 Example: What is the hundreds digit of 123063629? Steps: 6 Example: What is the ten millions digit of 225374999? Steps: 2 Example: What is the hundreds digit of 254432061? Steps: 0 Example: What is the hundreds digit of 729? Steps: 7 Example: What is the hundred thousands digit of 251037777? Steps: 0 Example: What is the ten thousands digit of 287523035? Steps: 2 Example: What is the thousands digit of 2847910? Steps: 7 Example: What is the tens digit of 8792? Steps: 9 Example: What is the thousands digit of 4416212? Steps: 6 Example: What is the units digit of 1363491? Steps: 1 Example: What is the tens digit of 7264? Steps: 6 Example: What is the hundred thousands digit of 130902211? Steps: 9 Example: What is the hundred millions digit of 6859198646? Steps: 8 Example: What is the tens digit of 2007? Steps: 0 Example: What is the hundreds digit of 5159? Steps: 1 Example: What is the millions digit of 5027561? Steps: 5 Example: What is the units digit of 1009178? Steps: 8 Example: What is the thousands digit of 6694590? Steps: 4 Example: What is the ten millions digit of 35355245? Steps: 3 Example: What is the hundreds digit of 178825? Steps: 8 Example: What is the ten thousands digit of 234057? Steps: 3 Example: What is the millions digit of 1491615491? Steps: 1 Example: What is the ten millions digit of 140173449? Steps: 4 Example: What is the thousands digit of 626194? Steps: 6 Example: What is the hundred thousands digit of 3919380? Steps: 9 Example: What is the ten thousands digit of 2691381? Steps: 9 Example: What is the ten thousands digit of 11172? Steps: 1 Example: What is the units digit of 7952? Steps: 2 Example: What is th
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numbers: place value -------------------- Exercise: What is the hundreds digit of 73213? = : 2 Exercise: What is the thousands digit of 1348? = : 1 Exercise: What is the hundred millions digit of 280500736? = : 2 Exercise: What is the hundreds digit of 203? = : 2 Exercise: What is the tens digit of 206? = : 0 Exercise: What is the hundreds digit of 22112? = : 1 Exercise: What is the hundred thousands digit of 527286686? = : 2 Exercise: What is the hundreds digit of 341799756? = : 7 Exercise: What is the ten millions digit of 157794578? = : 5 Exercise: What is the millions digit of 20233288? = : 0 Exercise: What is the tens digit of 103882080? = : 8 Exercise: What is the hundred millions digit of 568398482? = : 5 Exercise: What is the hundreds digit of 29303? = : 3 Exercise: What is the hundred millions digit of 3766194498? = : 7 Exercise: What is the units digit of 5341? = : 1 Exercise: What is the tens digit of 319791772? = : 7 Exercise: What is the thousands digit of 14259? = : 4 Exercise: What is the units digit of 113095857? = : 7 Exercise: What is the units digit of 6885? = : 5 Exercise: What is the tens digit of 7573? = : 7 Exercise: What is the hundreds digit of 44844? = : 8 Exercise: What is the thousands digit of 11050147? = : 0 Exercise: What is the units digit of 4343? = : 3 Exercise: What is the millions digit of 27934937? = : 7 Exercise: What is the hundreds digit of 1382? = : 3 Exercise: What is the units digit of 1007976? = : 6 Exercise: What is the millions digit of 6944082? = : 6 Exercise: What is the ten thousands digit of 89811072? = : 1 Exercise: What is the hundred thousands digit of 170460457? = : 4 Exercise: What is the tens digit of 27? = : 2 Exercise: What is the ten thousands digit of 20019? = : 2 Exercise: What is the tens digit of 5071? = : 7 Exercise: What is the hundred thousands digit of 745605621? = : 6 Exercise: What is the units digit of 28736? = : 6 Exercise: What is the hundreds digit of 9393? = : 3 Exercise: What is the hundreds
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numbers: is prime ----------------- Prompt: Is 1076380369 prime? Final Answer: True Prompt: Is 130641358 a composite number? Final Answer: True Prompt: Is 60397 prime? Final Answer: True Prompt: Is 129277 a composite number? Final Answer: False Prompt: Is 343417279 prime? Final Answer: True Prompt: Is 88373 a prime number? Final Answer: False Prompt: Is 45214201 a prime number? Final Answer: False Prompt: Is 34651 a prime number? Final Answer: True Prompt: Is 20652553 a prime number? Final Answer: False Prompt: Is 232049 a prime number? Final Answer: True Prompt: Is 98128573 composite? Final Answer: True Prompt: Is 5019193247 prime? Final Answer: True Prompt: Is 84358 composite? Final Answer: True Prompt: Is 88887 a prime number? Final Answer: False Prompt: Is 7715183 a composite number? Final Answer: True Prompt: Is 11299 a prime number? Final Answer: True Prompt: Is 787 prime? Final Answer: True Prompt: Is 40654973 composite? Final Answer: True Prompt: Is 25561 prime? Final Answer: True Prompt: Is 145771 a prime number? Final Answer: True Prompt: Is 18176503841 prime? Final Answer: True Prompt: Is 47540357 a prime number? Final Answer: False Prompt: Is 48185105041 a prime number? Final Answer: False Prompt: Is 10654661 prime? Final Answer: True Prompt: Is 243757 a prime number? Final Answer: False Prompt: Is 473573 composite? Final Answer: True Prompt: Is 9677143 prime? Final Answer: False Prompt: Is 670152559 a composite number? Final Answer: True Prompt: Is 874230403 a composite number? Final Answer: False Prompt: Is 586361 a prime number? Final Answer: True Prompt: Is 2038075289 composite? Final Answer: False Prompt: Is 10315 composite? Final Answer: True Prompt: Is 260317 a composite number? Final Answer: False Prompt: Is 3431213 a prime number? Final Answer: True Prompt: Is 1201 a prime number? Final Answer: True Prompt: Is 12715 a composite number? Final Answer: True Prompt: Is 2904299 a composite number? Final Answer: False Prompt: Is 1510669 a composite nu
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probability: swr p level set ---------------------------- Step: Two letters picked without replacement from bbllweeyylwl. What is prob of picking 1 l and 1 b? Calculation: 4/33 Step: Four letters picked without replacement from pzzpdzzzp. What is prob of picking 2 p and 2 z? Calculation: 5/21 Step: What is prob of picking 1 e and 2 n when three letters picked without replacement from nnseesnnnenssne? Calculation: 12/65 Step: What is prob of picking 1 w and 1 k when two letters picked without replacement from {n: 4, w: 6, k: 7, c: 1}? Calculation: 14/51 Step: Four letters picked without replacement from oxjjpmo. What is prob of picking 1 o, 2 j, and 1 m? Calculation: 2/35 Step: What is prob of picking 2 r when two letters picked without replacement from {c: 1, r: 12}? Calculation: 11/13 Step: Three letters picked without replacement from uuju. Give prob of picking 3 u. Calculation: 1/4 Step: Calculate prob of picking 1 m and 3 g when four letters picked without replacement from ggmmmmgmmgmmmgmmmmm. Calculation: 35/969 Step: Two letters picked without replacement from mbqzuum. Give prob of picking 1 z and 1 u. Calculation: 2/21 Step: Two letters picked without replacement from qqqkqkqqzkqzmk. What is prob of picking 2 z? Calculation: 1/91 Step: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from kkkxxkxxnn. Calculation: 8/45 Step: Three letters picked without replacement from {h: 3, k: 13}. What is prob of picking 3 k? Calculation: 143/280 Step: Three letters picked without replacement from {m: 2, d: 3, k: 1, e: 1, y: 1, v: 3}. Give prob of picking 1 e and 2 v. Calculation: 1/55 Step: Two letters picked without replacement from {i: 1, c: 4, a: 2, x: 1, b: 1}. Give prob of picking 1 c and 1 i. Calculation: 1/9 Step: What is prob of picking 1 l, 1 s, and 2 c when four letters picked without replacement from {l: 1, c: 3, e: 1, m: 4, g: 3, s: 5}? Calculation: 3/476 Step: Three letters picked without replacement from vhhalhayyhlhyyah. Wha
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numbers: is prime ----------------- Problem #: Is 14613017 a prime number? Explanation: True Problem #: Is 8641 a composite number? Explanation: False Problem #: Is 47370807373 composite? Explanation: False Problem #: Is 8022281 composite? Explanation: False Problem #: Is 182413589 a composite number? Explanation: True Problem #: Is 5786159 a composite number? Explanation: False Problem #: Is 68363 composite? Explanation: True Problem #: Is 132664153 composite? Explanation: False Problem #: Is 469083 a composite number? Explanation: True Problem #: Is 10361051 composite? Explanation: False Problem #: Is 2544261 prime? Explanation: False Problem #: Is 5413 composite? Explanation: False Problem #: Is 9707939039 a composite number? Explanation: False Problem #: Is 9283347109 a prime number? Explanation: True Problem #: Is 9842699 a composite number? Explanation: True Problem #: Is 818 a prime number? Explanation: False Problem #: Is 2757057 composite? Explanation: True Problem #: Is 109013 a prime number? Explanation: True Problem #: Is 4539191 a composite number? Explanation: False Problem #: Is 59368643179 prime? Explanation: False Problem #: Is 2302 prime? Explanation: False Problem #: Is 1186648973 prime? Explanation: True Problem #: Is 211 a prime number? Explanation: True Problem #: Is 19121 a composite number? Explanation: False Problem #: Is 6245 a composite number? Explanation: True Problem #: Is 3619245527 a composite number? Explanation: False Problem #: Is 4531194211 composite? Explanation: True Problem #: Is 3283911461 prime? Explanation: True Problem #: Is 579224783 a prime number? Explanation: True Problem #: Is 124950038639 a composite number? Explanation: False Problem #: Is 9461 a prime number? Explanation: True Problem #: Is 15016681801 composite? Explanation: True Problem #: Is 9643973 composite? Explanation: False Problem #: Is 147607 a prime number? Explanation: True Problem #: Is 96638987 a prime number? Explanation: False Problem #: Is 1171 a co
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probability: swr p sequence --------------------------- Input: Two letters picked without replacement from {i: 1, k: 1, v: 1}. What is prob of sequence vk? Calculation: 1/6 Input: Calculate prob of sequence nlln when four letters picked without replacement from nlll. Calculation: 0 Input: Two letters picked without replacement from respereevvervev. What is prob of sequence se? Calculation: 1/35 Input: What is prob of sequence od when two letters picked without replacement from {o: 6, z: 12, d: 1}? Calculation: 1/57 Input: Three letters picked without replacement from {j: 3, f: 10, p: 4, n: 2}. Give prob of sequence pnj. Calculation: 4/969 Input: Two letters picked without replacement from yybcyywpcyywpbp. Give prob of sequence yy. Calculation: 1/7 Input: Calculate prob of sequence zz when two letters picked without replacement from {z: 7, y: 1}. Calculation: 3/4 Input: Calculate prob of sequence amm when three letters picked without replacement from aamm. Calculation: 1/6 Input: Four letters picked without replacement from {b: 8, h: 5, y: 3}. What is prob of sequence yhbb? Calculation: 1/52 Input: Two letters picked without replacement from oennniieojiengo. What is prob of sequence gn? Calculation: 2/105 Input: What is prob of sequence oo when two letters picked without replacement from goyoooooooo? Calculation: 36/55 Input: Four letters picked without replacement from iuuysiiiv. What is prob of sequence iyiv? Calculation: 1/252 Input: Calculate prob of sequence uul when three letters picked without replacement from lheubee. Calculation: 0 Input: Three letters picked without replacement from bkkkkkkbkbkkkbkkkb. Give prob of sequence kkb. Calculation: 65/408 Input: What is prob of sequence zd when two letters picked without replacement from {d: 2, k: 4, z: 2}? Calculation: 1/14 Input: Calculate prob of sequence pg when two letters picked without replacement from pgxlg. Calculation: 1/10 Input: Calculate prob of sequence jjhn when four letters picked without replaceme
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numbers: gcd ------------ Math Problem: What is the highest common factor of 184 and 11895163? Thus: 23 Math Problem: Calculate the greatest common divisor of 190 and 2535. Thus: 5 Math Problem: What is the greatest common divisor of 5587 and 151? Thus: 151 Math Problem: Calculate the highest common divisor of 16877 and 91. Thus: 7 Math Problem: Calculate the greatest common divisor of 66992 and 121264. Thus: 848 Math Problem: What is the greatest common factor of 210 and 4395? Thus: 15 Math Problem: What is the highest common factor of 1596 and 31619154? Thus: 798 Math Problem: Calculate the greatest common factor of 27450 and 27. Thus: 9 Math Problem: What is the greatest common divisor of 60 and 60? Thus: 60 Math Problem: Calculate the highest common factor of 517535 and 178. Thus: 89 Math Problem: What is the highest common divisor of 922 and 25856107? Thus: 461 Math Problem: What is the highest common divisor of 253283 and 15181? Thus: 799 Math Problem: What is the greatest common factor of 24 and 1123356? Thus: 12 Math Problem: What is the greatest common factor of 3616 and 265184? Thus: 32 Math Problem: What is the greatest common divisor of 1819 and 428? Thus: 107 Math Problem: What is the highest common factor of 252 and 28? Thus: 28 Math Problem: What is the greatest common divisor of 3999 and 172? Thus: 43 Math Problem: Calculate the highest common factor of 7190047 and 1271. Thus: 1271 Math Problem: Calculate the highest common factor of 35328 and 198524224. Thus: 1472 Math Problem: What is the greatest common factor of 700 and 88620? Thus: 140 Math Problem: Calculate the greatest common divisor of 1416638 and 313. Thus: 313 Math Problem: What is the highest common factor of 782 and 114529? Thus: 17 Math Problem: Calculate the greatest common factor of 2484 and 432648. Thus: 108 Math Problem: Calculate the greatest common divisor of 9996 and 4. Thus: 4 Math Problem: Calculate the greatest common factor of 3765 and 795. Thus: 15 Math Problem: What is the
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numbers: is factor ------------------ Subquestion: Does 26 divide 48333246? Outcome: True Subquestion: Is 79091944 a multiple of 2270? Outcome: False Subquestion: Is 914141358 a multiple of 117? Outcome: True Subquestion: Is 44 a factor of 308? Outcome: True Subquestion: Is 85386 a multiple of 38? Outcome: True Subquestion: Is 8712 a multiple of 44? Outcome: True Subquestion: Is 126015 a multiple of 78? Outcome: False Subquestion: Is 16082173 a multiple of 1388? Outcome: False Subquestion: Is 207 a factor of 54994? Outcome: False Subquestion: Does 1102 divide 211744892? Outcome: True Subquestion: Is 1783 a multiple of 25? Outcome: False Subquestion: Is 6392802 a multiple of 4? Outcome: False Subquestion: Is 88 a factor of 10106? Outcome: False Subquestion: Is 8 a factor of 118482? Outcome: False Subquestion: Does 59 divide 561478255? Outcome: False Subquestion: Is 1131 a factor of 364430885? Outcome: False Subquestion: Does 92 divide 66192? Outcome: False Subquestion: Is 377580 a multiple of 58? Outcome: True Subquestion: Does 11 divide 41360? Outcome: True Subquestion: Is 4119 a multiple of 15? Outcome: False Subquestion: Does 63 divide 52605? Outcome: True Subquestion: Is 17 a factor of 849? Outcome: False Subquestion: Is 353 a factor of 71085022? Outcome: True Subquestion: Is 24 a factor of 7896? Outcome: True Subquestion: Is 9 a factor of 242? Outcome: False Subquestion: Is 909 a multiple of 17? Outcome: False Subquestion: Does 55 divide 3025? Outcome: True Subquestion: Is 366777 a multiple of 83? Outcome: True Subquestion: Is 17088 a multiple of 16? Outcome: True Subquestion: Is 96 a factor of 7968? Outcome: True Subquestion: Is 69 a factor of 624942? Outcome: False Subquestion: Is 43939466 a multiple of 58? Outcome: True Subquestion: Is 8 a factor of 164032? Outcome: True Subquestion: Is 35207595 a multiple of 391? Outcome: True Subquestion: Does 107 divide 133322? Outcome: True Subquestion: Is 3480 a multiple of 12? Outcome: True Subquestion: Does 63 divide 2
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probability: swr p level set ---------------------------- Q/A: What is prob of picking 1 h and 1 f when two letters picked without replacement from {f: 1, u: 5, h: 3, j: 1}? Answer: 1/15 Q/A: Calculate prob of picking 2 w and 2 g when four letters picked without replacement from wgwwwgw. Answer: 2/7 Q/A: What is prob of picking 3 b when three letters picked without replacement from {b: 7}? Answer: 1 Q/A: Three letters picked without replacement from vxvxxfrfvvxvvxvjvvx. What is prob of picking 2 f and 1 x? Answer: 2/323 Q/A: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from xggmmkkxggxkkxkkkg. Answer: 20/153 Q/A: What is prob of picking 2 m when two letters picked without replacement from {o: 4, t: 1, g: 6, h: 1, m: 2, x: 1}? Answer: 1/105 Q/A: Four letters picked without replacement from jjtjtjjjjtjtjj. What is prob of picking 3 j and 1 t? Answer: 480/1001 Q/A: Three letters picked without replacement from ddddhddhdddddddddd. What is prob of picking 3 h? Answer: 0 Q/A: Three letters picked without replacement from jaajjjaajj. Give prob of picking 1 j and 2 a. Answer: 3/10 Q/A: Three letters picked without replacement from lnnn. What is prob of picking 1 l and 2 n? Answer: 3/4 Q/A: Two letters picked without replacement from lydao. What is prob of picking 1 d and 1 y? Answer: 1/10 Q/A: Two letters picked without replacement from {v: 7, p: 5, w: 8}. Give prob of picking 1 v and 1 p. Answer: 7/38 Q/A: Three letters picked without replacement from {b: 1, i: 6, f: 8, y: 3}. Give prob of picking 1 y and 2 i. Answer: 15/272 Q/A: Four letters picked without replacement from mqkmggglggkgkg. What is prob of picking 3 k and 1 l? Answer: 1/1001 Q/A: What is prob of picking 1 z and 1 g when two letters picked without replacement from algefzg? Answer: 2/21 Q/A: Four letters picked without replacement from {d: 4, y: 2, g: 6}. Give prob of picking 1 d, 2 g, and 1 y. Answer: 8/33 Q/A: Calculate prob of picking 3 z and 1 f when four letters picke
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numbers: div remainder ---------------------- Input: Calculate the remainder when 808 is divided by 222. A.: 142 Input: Calculate the remainder when 85 is divided by 15. A.: 10 Input: What is the remainder when 331 is divided by 25? A.: 6 Input: Calculate the remainder when 1377576 is divided by 1377561. A.: 15 Input: Calculate the remainder when 12433 is divided by 1129. A.: 14 Input: What is the remainder when 511 is divided by 86? A.: 81 Input: Calculate the remainder when 660799 is divided by 2169. A.: 1423 Input: Calculate the remainder when 343 is divided by 53. A.: 25 Input: Calculate the remainder when 8941258 is divided by 14. A.: 4 Input: Calculate the remainder when 7070886 is divided by 4658. A.: 42 Input: What is the remainder when 28939 is divided by 48? A.: 43 Input: What is the remainder when 21715 is divided by 58? A.: 23 Input: What is the remainder when 17 is divided by 5? A.: 2 Input: What is the remainder when 711556 is divided by 83? A.: 80 Input: Calculate the remainder when 74353 is divided by 94. A.: 93 Input: What is the remainder when 60215832 is divided by 1720452? A.: 12 Input: What is the remainder when 143 is divided by 118? A.: 25 Input: What is the remainder when 15660 is divided by 15294? A.: 366 Input: Calculate the remainder when 2431 is divided by 2431. A.: 0 Input: Calculate the remainder when 132 is divided by 34. A.: 30 Input: Calculate the remainder when 951914 is divided by 2808. A.: 2 Input: Calculate the remainder when 9661 is divided by 932. A.: 341 Input: What is the remainder when 366 is divided by 65? A.: 41 Input: Calculate the remainder when 68 is divided by 40. A.: 28 Input: What is the remainder when 3621 is divided by 3511? A.: 110 Input: Calculate the remainder when 27564 is divided by 12893. A.: 1778 Input: What is the remainder when 1302 is divided by 94? A.: 80 Input: Calculate the remainder when 4583 is divided by 1527. A.: 2 Input: Calculate the remainder when 23606762 is divided by 46470. A.: 2 Input: Calcu
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numbers: place value -------------------- Request: What is the hundreds digit of 51403? Output: 4 Request: What is the ten thousands digit of 308653104? Output: 5 Request: What is the thousands digit of 49119? Output: 9 Request: What is the tens digit of 45895806? Output: 0 Request: What is the ten thousands digit of 49289? Output: 4 Request: What is the hundreds digit of 275704275? Output: 2 Request: What is the hundred millions digit of 1945302468? Output: 9 Request: What is the millions digit of 4107794? Output: 4 Request: What is the hundreds digit of 36079? Output: 0 Request: What is the tens digit of 6170? Output: 7 Request: What is the units digit of 189546061? Output: 1 Request: What is the ten thousands digit of 77404938? Output: 0 Request: What is the units digit of 57? Output: 7 Request: What is the ten thousands digit of 864132? Output: 6 Request: What is the thousands digit of 338405? Output: 8 Request: What is the tens digit of 497? Output: 9 Request: What is the thousands digit of 6055? Output: 6 Request: What is the hundred thousands digit of 15368446? Output: 3 Request: What is the hundreds digit of 43330? Output: 3 Request: What is the millions digit of 120717897? Output: 0 Request: What is the hundreds digit of 29896? Output: 8 Request: What is the hundreds digit of 1066042313? Output: 3 Request: What is the units digit of 2337? Output: 7 Request: What is the tens digit of 542? Output: 4 Request: What is the hundred millions digit of 415720878? Output: 4 Request: What is the hundreds digit of 284355? Output: 3 Request: What is the ten thousands digit of 13044849? Output: 4 Request: What is the units digit of 5315997? Output: 7 Request: What is the units digit of 319785? Output: 5 Request: What is the ten thousands digit of 4936167? Output: 3 Request: What is the hundreds digit of 165460854? Output: 8 Request: What is the thousands digit of 583074288? Output: 4 Request: What is the thousands digit of 672472941? Output: 2 Request: What is the tens d
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probability: swr p sequence --------------------------- Q: Four letters picked without replacement from qyayiiaii. Give prob of sequence yyiq. Thus: 1/378 Q: What is prob of sequence ww when two letters picked without replacement from wwxwxw? Thus: 2/5 Q: Calculate prob of sequence tjj when three letters picked without replacement from {y: 1, t: 4, j: 2, l: 2, b: 3, i: 2}. Thus: 1/273 Q: Three letters picked without replacement from {q: 6, k: 2}. What is prob of sequence kqk? Thus: 1/28 Q: Calculate prob of sequence iccj when four letters picked without replacement from ijpwxccxj. Thus: 1/756 Q: Three letters picked without replacement from ffffwdwfffwwdfdwww. Give prob of sequence fdw. Thus: 7/204 Q: What is prob of sequence zrcz when four letters picked without replacement from zrrrzzzrzczzz? Thus: 28/2145 Q: Three letters picked without replacement from lllwwwwwll. What is prob of sequence wll? Thus: 5/36 Q: Two letters picked without replacement from mccrvrvamryrma. Give prob of sequence av. Thus: 2/91 Q: What is prob of sequence ynnn when four letters picked without replacement from nnmnnnnynnnnny? Thus: 15/182 Q: Four letters picked without replacement from {z: 4, e: 6, b: 4}. Give prob of sequence bbee. Thus: 15/1001 Q: Four letters picked without replacement from {a: 4, o: 1, u: 7, p: 2}. Give prob of sequence aoua. Thus: 1/286 Q: What is prob of sequence vc when two letters picked without replacement from ddvdxdnxxcddvxpdn? Thus: 1/136 Q: Two letters picked without replacement from {n: 2, b: 3, c: 6, h: 4}. What is prob of sequence ch? Thus: 4/35 Q: Three letters picked without replacement from vvd. Give prob of sequence dvd. Thus: 0 Q: Three letters picked without replacement from mmnn. Give prob of sequence mnn. Thus: 1/6 Q: Three letters picked without replacement from ymyyymy. What is prob of sequence ymy? Thus: 4/21 Q: What is prob of sequence pd when two letters picked without replacement from {w: 2, p: 2, y: 1, d: 4}? Thus: 1/9 Q: What is prob of seq
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numbers: is prime ----------------- Let us solve: Is 28751 composite? Derivation: False Let us solve: Is 15159757 prime? Derivation: False Let us solve: Is 155379829 a composite number? Derivation: True Let us solve: Is 4717697 prime? Derivation: False Let us solve: Is 749696347 composite? Derivation: False Let us solve: Is 10265 a composite number? Derivation: True Let us solve: Is 7853 a composite number? Derivation: False Let us solve: Is 253144174 prime? Derivation: False Let us solve: Is 655 prime? Derivation: False Let us solve: Is 47371 composite? Derivation: True Let us solve: Is 177319 a composite number? Derivation: False Let us solve: Is 3326247469 a prime number? Derivation: True Let us solve: Is 7393 composite? Derivation: False Let us solve: Is 7878383 composite? Derivation: False Let us solve: Is 1277107543 prime? Derivation: True Let us solve: Is 7817 a prime number? Derivation: True Let us solve: Is 51530989413 composite? Derivation: True Let us solve: Is 4481 composite? Derivation: False Let us solve: Is 56402321 a composite number? Derivation: False Let us solve: Is 592839545 prime? Derivation: False Let us solve: Is 142648125107 prime? Derivation: True Let us solve: Is 13205773069 composite? Derivation: False Let us solve: Is 3769633 composite? Derivation: True Let us solve: Is 1780717661 a composite number? Derivation: True Let us solve: Is 1286022433 a prime number? Derivation: False Let us solve: Is 8493362783 prime? Derivation: True Let us solve: Is 1829350673 a prime number? Derivation: False Let us solve: Is 106013 composite? Derivation: False Let us solve: Is 17246563 a composite number? Derivation: False Let us solve: Is 3025483 composite? Derivation: True Let us solve: Is 1087349 a composite number? Derivation: False Let us solve: Is 269346503 a composite number? Derivation: True Let us solve: Is 1353019 prime? Derivation: True Let us solve: Is 19069 a composite number? Derivation: False Let us solve: Is 34517 prime? Derivation: False Le
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numbers: place value -------------------- Problem #: What is the thousands digit of 399535097? Response: 5 Problem #: What is the millions digit of 6406563? Response: 6 Problem #: What is the tens digit of 49591? Response: 9 Problem #: What is the units digit of 4107? Response: 7 Problem #: What is the billions digit of 2512213773? Response: 2 Problem #: What is the hundred thousands digit of 682688054? Response: 6 Problem #: What is the ten thousands digit of 1437686? Response: 3 Problem #: What is the millions digit of 172214750? Response: 2 Problem #: What is the tens digit of 20978995? Response: 9 Problem #: What is the tens digit of 539? Response: 3 Problem #: What is the hundreds digit of 740? Response: 7 Problem #: What is the hundreds digit of 82497? Response: 4 Problem #: What is the units digit of 362812? Response: 2 Problem #: What is the tens digit of 7112896? Response: 9 Problem #: What is the units digit of 3748990? Response: 0 Problem #: What is the tens digit of 146443? Response: 4 Problem #: What is the hundred thousands digit of 170335122? Response: 3 Problem #: What is the thousands digit of 701925977? Response: 5 Problem #: What is the thousands digit of 836042439? Response: 2 Problem #: What is the tens digit of 362341594? Response: 9 Problem #: What is the ten thousands digit of 27653146? Response: 5 Problem #: What is the millions digit of 105410328? Response: 5 Problem #: What is the ten millions digit of 41221214? Response: 4 Problem #: What is the hundreds digit of 36358996? Response: 9 Problem #: What is the thousands digit of 41790? Response: 1 Problem #: What is the tens digit of 27447? Response: 4 Problem #: What is the ten thousands digit of 28646? Response: 2 Problem #: What is the thousands digit of 22855? Response: 2 Problem #: What is the millions digit of 1487895624? Response: 7 Problem #: What is the hundred thousands digit of 14737099? Response: 7 Problem #: What is the tens digit of 81? Response: 8 Problem #: What is the hundre
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numbers: is prime ----------------- Step: Is 24611 composite? Response: False Step: Is 10297535649 a composite number? Response: True Step: Is 22681 a prime number? Response: False Step: Is 2179 a prime number? Response: True Step: Is 2939 a prime number? Response: True Step: Is 224351 composite? Response: False Step: Is 1849 composite? Response: True Step: Is 91201267 composite? Response: False Step: Is 51674351 a prime number? Response: False Step: Is 8289531113 prime? Response: False Step: Is 17330650453 composite? Response: True Step: Is 601618 a prime number? Response: False Step: Is 1749041 a prime number? Response: False Step: Is 1304888701 a prime number? Response: False Step: Is 587371 a composite number? Response: False Step: Is 19131965 composite? Response: True Step: Is 4993517 a prime number? Response: True Step: Is 37710466307 a composite number? Response: True Step: Is 10085299709 a composite number? Response: False Step: Is 2273815729 a composite number? Response: False Step: Is 3085322 a composite number? Response: True Step: Is 1546801 a prime number? Response: False Step: Is 23703 composite? Response: True Step: Is 93212101 a composite number? Response: True Step: Is 3371 prime? Response: True Step: Is 17089753 composite? Response: True Step: Is 4286657 composite? Response: False Step: Is 32831 prime? Response: True Step: Is 17350688345 composite? Response: True Step: Is 17589283 prime? Response: False Step: Is 325088627 composite? Response: False Step: Is 32811176051 prime? Response: True Step: Is 21281792141 a composite number? Response: True Step: Is 32434 composite? Response: True Step: Is 39132061 composite? Response: False Step: Is 53064955 composite? Response: True Step: Is 2983963 a prime number? Response: False Step: Is 14652492857 composite? Response: True Step: Is 378327181 prime? Response: True Step: Is 3178551 composite? Response: True Step: Is 1004401 composite? Response: False Step: Is 76634 prime? Response: False Step: Is 300382541
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numbers: div remainder ---------------------- Example: What is the remainder when 3450261 is divided by 53? Result: 14 Example: Calculate the remainder when 10969 is divided by 5484. Result: 1 Example: Calculate the remainder when 2412 is divided by 10. Result: 2 Example: Calculate the remainder when 3338864 is divided by 1326. Result: 1322 Example: Calculate the remainder when 225255 is divided by 5020. Result: 4375 Example: Calculate the remainder when 157 is divided by 6. Result: 1 Example: Calculate the remainder when 9075570 is divided by 1296462. Result: 336 Example: What is the remainder when 294329 is divided by 576? Result: 569 Example: What is the remainder when 23838 is divided by 7888? Result: 174 Example: What is the remainder when 138336 is divided by 12576? Result: 0 Example: What is the remainder when 262292 is divided by 8215? Result: 7627 Example: Calculate the remainder when 11368 is divided by 1091. Result: 458 Example: What is the remainder when 29749 is divided by 35? Result: 34 Example: What is the remainder when 25743 is divided by 155? Result: 13 Example: Calculate the remainder when 3160741 is divided by 95. Result: 91 Example: What is the remainder when 808 is divided by 73? Result: 5 Example: Calculate the remainder when 95828879 is divided by 6978. Result: 5 Example: Calculate the remainder when 2651 is divided by 2643. Result: 8 Example: Calculate the remainder when 830 is divided by 750. Result: 80 Example: What is the remainder when 2693 is divided by 2471? Result: 222 Example: Calculate the remainder when 1567132 is divided by 54. Result: 52 Example: Calculate the remainder when 3705 is divided by 81. Result: 60 Example: What is the remainder when 328501 is divided by 108828? Result: 2017 Example: Calculate the remainder when 1802 is divided by 5. Result: 2 Example: Calculate the remainder when 173 is divided by 7. Result: 5 Example: Calculate the remainder when 141 is divided by 26. Result: 11 Example: What is the remainder when 719
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arithmetic: nearest integer root -------------------------------- Task: What is 9 to the power of 1/10, to the nearest integer? Resolution: 1 Task: What is the ninth root of 2722 to the nearest integer? Resolution: 2 Task: What is 91968 to the power of 1/10, to the nearest integer? Resolution: 3 Task: What is 419781866 to the power of 1/6, to the nearest integer? Resolution: 27 Task: What is the square root of 445609776 to the nearest integer? Resolution: 21109 Task: What is the square root of 4031258 to the nearest integer? Resolution: 2008 Task: What is 277381 to the power of 1/10, to the nearest integer? Resolution: 4 Task: What is the square root of 262 to the nearest integer? Resolution: 16 Task: What is 22911 to the power of 1/8, to the nearest integer? Resolution: 4 Task: What is the third root of 88899 to the nearest integer? Resolution: 45 Task: What is the seventh root of 1697 to the nearest integer? Resolution: 3 Task: What is 1998537 to the power of 1/3, to the nearest integer? Resolution: 126 Task: What is the square root of 608655 to the nearest integer? Resolution: 780 Task: What is 1119057 to the power of 1/3, to the nearest integer? Resolution: 104 Task: What is the third root of 2737 to the nearest integer? Resolution: 14 Task: What is the square root of 1083237 to the nearest integer? Resolution: 1041 Task: What is 2959137 to the power of 1/3, to the nearest integer? Resolution: 144 Task: What is 170962701 to the power of 1/7, to the nearest integer? Resolution: 15 Task: What is the cube root of 108174 to the nearest integer? Resolution: 48 Task: What is 1836 to the power of 1/4, to the nearest integer? Resolution: 7 Task: What is the tenth root of 5286 to the nearest integer? Resolution: 2 Task: What is the third root of 20567 to the nearest integer? Resolution: 27 Task: What is 41573853 to the power of 1/2, to the nearest integer? Resolution: 6448 Task: What is 6746 to the power of 1/10, to the nearest integer? Resolution: 2 Task: What is the ei
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numbers: div remainder ---------------------- Request: Calculate the remainder when 34583046 is divided by 202. Workthrough: 40 Request: Calculate the remainder when 292 is divided by 98. Workthrough: 96 Request: What is the remainder when 5731854 is divided by 43? Workthrough: 40 Request: Calculate the remainder when 317130 is divided by 56. Workthrough: 2 Request: What is the remainder when 516 is divided by 127? Workthrough: 8 Request: What is the remainder when 3881 is divided by 9? Workthrough: 2 Request: What is the remainder when 19827 is divided by 495? Workthrough: 27 Request: What is the remainder when 9635 is divided by 46? Workthrough: 21 Request: Calculate the remainder when 301444 is divided by 180. Workthrough: 124 Request: Calculate the remainder when 1966520 is divided by 12368. Workthrough: 8 Request: Calculate the remainder when 235 is divided by 14. Workthrough: 11 Request: Calculate the remainder when 301805 is divided by 43. Workthrough: 31 Request: What is the remainder when 19164002 is divided by 76? Workthrough: 70 Request: What is the remainder when 1092294 is divided by 993? Workthrough: 987 Request: Calculate the remainder when 83910 is divided by 567. Workthrough: 561 Request: What is the remainder when 177576 is divided by 65? Workthrough: 61 Request: Calculate the remainder when 2678 is divided by 10. Workthrough: 8 Request: Calculate the remainder when 42722665 is divided by 811. Workthrough: 807 Request: Calculate the remainder when 85116958 is divided by 244. Workthrough: 242 Request: What is the remainder when 32678 is divided by 55? Workthrough: 8 Request: Calculate the remainder when 241 is divided by 71. Workthrough: 28 Request: Calculate the remainder when 6048013 is divided by 949. Workthrough: 36 Request: Calculate the remainder when 329236 is divided by 181. Workthrough: 178 Request: What is the remainder when 10915 is divided by 10912? Workthrough: 3 Request: Calculate the remainder when 1075 is divided by 18. Workthrough:
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measurement: time ----------------- Input: How many minutes are there between 4:56 AM and 3:57 PM? Soln: 661 Input: What is 404 minutes before 6:23 AM? Soln: 11:39 PM Input: How many minutes are there between 12:20 AM and 5:30 AM? Soln: 310 Input: How many minutes are there between 7:42 PM and 11:54 PM? Soln: 252 Input: What is 625 minutes after 7:38 AM? Soln: 6:03 PM Input: How many minutes are there between 1:59 PM and 4:54 PM? Soln: 175 Input: What is 627 minutes before 2:03 PM? Soln: 3:36 AM Input: How many minutes are there between 12:42 AM and 12:51 AM? Soln: 9 Input: How many minutes are there between 9:14 AM and 4:51 PM? Soln: 457 Input: What is 398 minutes before 9:21 PM? Soln: 2:43 PM Input: How many minutes are there between 3:02 AM and 5:36 AM? Soln: 154 Input: What is 419 minutes before 11:51 AM? Soln: 4:52 AM Input: How many minutes are there between 6:37 PM and 1:46 AM? Soln: 429 Input: How many minutes are there between 9:31 AM and 8:51 PM? Soln: 680 Input: How many minutes are there between 9:52 AM and 12:27 PM? Soln: 155 Input: How many minutes are there between 7:06 AM and 2:00 PM? Soln: 414 Input: How many minutes are there between 1:41 AM and 5:55 AM? Soln: 254 Input: What is 159 minutes after 10:17 AM? Soln: 12:56 PM Input: What is 207 minutes before 2:54 PM? Soln: 11:27 AM Input: What is 532 minutes before 6:27 PM? Soln: 9:35 AM Input: How many minutes are there between 9:18 PM and 12:19 AM? Soln: 181 Input: What is 467 minutes before 2:03 AM? Soln: 6:16 PM Input: What is 688 minutes before 4:47 AM? Soln: 5:19 PM Input: How many minutes are there between 4:06 AM and 4:33 AM? Soln: 27 Input: What is 543 minutes after 11:27 PM? Soln: 8:30 AM Input: How many minutes are there between 4:17 AM and 10:48 AM? Soln: 391 Input: What is 660 minutes before 10:11 PM? Soln: 11:11 AM Input: What is 145 minutes after 5:21 AM? Soln: 7:46 AM Input: What is 599 minutes after 11:40 AM? Soln: 9:39 PM Input: How many minutes are there between 4:46 PM and 3:09 AM?
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numbers: place value -------------------- Problem: What is the hundred thousands digit of 118457183? = : 4 Problem: What is the units digit of 3897? = : 7 Problem: What is the hundred thousands digit of 370888? = : 3 Problem: What is the ten millions digit of 14138378? = : 1 Problem: What is the hundreds digit of 1519? = : 5 Problem: What is the ten thousands digit of 2852262? = : 5 Problem: What is the units digit of 156324? = : 4 Problem: What is the millions digit of 4448686943? = : 8 Problem: What is the hundreds digit of 1182? = : 1 Problem: What is the thousands digit of 267765629? = : 5 Problem: What is the tens digit of 2716904? = : 0 Problem: What is the hundred thousands digit of 557361063? = : 3 Problem: What is the thousands digit of 1356356? = : 6 Problem: What is the thousands digit of 433568? = : 3 Problem: What is the hundred thousands digit of 6033763? = : 0 Problem: What is the tens digit of 34544326? = : 2 Problem: What is the millions digit of 297773511? = : 7 Problem: What is the hundred thousands digit of 2528753648? = : 7 Problem: What is the ten millions digit of 126923376? = : 2 Problem: What is the ten millions digit of 391115154? = : 9 Problem: What is the ten millions digit of 94948235? = : 9 Problem: What is the thousands digit of 3072? = : 3 Problem: What is the ten thousands digit of 127346? = : 2 Problem: What is the hundreds digit of 6533686? = : 6 Problem: What is the millions digit of 936836129? = : 6 Problem: What is the millions digit of 1168298? = : 1 Problem: What is the billions digit of 1189640773? = : 1 Problem: What is the hundreds digit of 25933913? = : 9 Problem: What is the thousands digit of 2009? = : 2 Problem: What is the thousands digit of 187666611? = : 6 Problem: What is the ten millions digit of 2338779104? = : 3 Problem: What is the tens digit of 1062? = : 6 Problem: What is the tens digit of 8353? = : 5 Problem: What is the thousands digit of 3305? = : 3 Problem: What is the billions digit of 1634402528? = : 1 P
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numbers: place value -------------------- Exercise: What is the hundreds digit of 266? Result: 2 Exercise: What is the ten thousands digit of 1842355? Result: 4 Exercise: What is the tens digit of 257? Result: 5 Exercise: What is the hundreds digit of 7424310? Result: 3 Exercise: What is the hundred thousands digit of 1399543? Result: 3 Exercise: What is the hundreds digit of 3198? Result: 1 Exercise: What is the hundreds digit of 988? Result: 9 Exercise: What is the units digit of 669? Result: 9 Exercise: What is the tens digit of 2457363670? Result: 7 Exercise: What is the units digit of 912? Result: 2 Exercise: What is the units digit of 72? Result: 2 Exercise: What is the tens digit of 585514? Result: 1 Exercise: What is the tens digit of 36978? Result: 7 Exercise: What is the tens digit of 95428? Result: 2 Exercise: What is the hundreds digit of 7334? Result: 3 Exercise: What is the hundreds digit of 12066308? Result: 3 Exercise: What is the hundred thousands digit of 16197853? Result: 1 Exercise: What is the tens digit of 1085874? Result: 7 Exercise: What is the tens digit of 7050399? Result: 9 Exercise: What is the thousands digit of 3901? Result: 3 Exercise: What is the units digit of 1962917588? Result: 8 Exercise: What is the units digit of 305269? Result: 9 Exercise: What is the ten thousands digit of 741438039? Result: 3 Exercise: What is the hundreds digit of 23247? Result: 2 Exercise: What is the ten thousands digit of 78925? Result: 7 Exercise: What is the thousands digit of 14593? Result: 4 Exercise: What is the units digit of 636227987? Result: 7 Exercise: What is the hundreds digit of 19208? Result: 2 Exercise: What is the ten thousands digit of 185124? Result: 8 Exercise: What is the units digit of 1329? Result: 9 Exercise: What is the ten millions digit of 14027770? Result: 1 Exercise: What is the ten millions digit of 91583728? Result: 9 Exercise: What is the hundreds digit of 1290258? Result: 2 Exercise: What is the hundred thousands digit of 2
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measurement: time ----------------- Item: How many minutes are there between 2:38 AM and 12:11 PM? Calculation: 573 Item: What is 102 minutes before 5:44 AM? Calculation: 4:02 AM Item: How many minutes are there between 3:16 AM and 2:56 PM? Calculation: 700 Item: How many minutes are there between 1:03 AM and 4:30 AM? Calculation: 207 Item: How many minutes are there between 1:52 AM and 1:07 PM? Calculation: 675 Item: How many minutes are there between 4:27 AM and 7:20 AM? Calculation: 173 Item: What is 300 minutes before 6:33 PM? Calculation: 1:33 PM Item: How many minutes are there between 4:49 PM and 8:18 PM? Calculation: 209 Item: What is 636 minutes before 3:07 PM? Calculation: 4:31 AM Item: What is 421 minutes before 10:54 PM? Calculation: 3:53 PM Item: What is 153 minutes before 1:06 AM? Calculation: 10:33 PM Item: What is 313 minutes after 5:10 AM? Calculation: 10:23 AM Item: How many minutes are there between 5:14 PM and 1:39 AM? Calculation: 505 Item: How many minutes are there between 6:38 PM and 4:47 AM? Calculation: 609 Item: How many minutes are there between 1:54 AM and 5:17 AM? Calculation: 203 Item: How many minutes are there between 6:49 AM and 5:09 PM? Calculation: 620 Item: How many minutes are there between 10:24 PM and 7:48 AM? Calculation: 564 Item: What is 244 minutes before 1:32 PM? Calculation: 9:28 AM Item: What is 97 minutes before 4:49 AM? Calculation: 3:12 AM Item: What is 398 minutes before 12:52 AM? Calculation: 6:14 PM Item: What is 517 minutes before 8:22 PM? Calculation: 11:45 AM Item: How many minutes are there between 10:34 AM and 5:12 PM? Calculation: 398 Item: How many minutes are there between 9:59 PM and 11:01 PM? Calculation: 62 Item: How many minutes are there between 12:51 AM and 12:24 PM? Calculation: 693 Item: How many minutes are there between 11:18 AM and 3:27 PM? Calculation: 249 Item: How many minutes are there between 7:01 PM and 9:46 PM? Calculation: 165 Item: What is 96 minutes before 10:39 PM? Calculation: 9:03 P
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probability: swr p level set ---------------------------- Part A: Four letters picked without replacement from {l: 1, b: 2, m: 1, e: 4, x: 3, g: 1}. What is prob of picking 4 e? Fix: 1/495 Part A: Calculate prob of picking 2 u when two letters picked without replacement from uuxxu. Fix: 3/10 Part A: What is prob of picking 1 j and 1 h when two letters picked without replacement from jhdkw? Fix: 1/10 Part A: What is prob of picking 2 w when two letters picked without replacement from {w: 14, x: 4}? Fix: 91/153 Part A: Two letters picked without replacement from {f: 7}. What is prob of picking 2 f? Fix: 1 Part A: Calculate prob of picking 1 v, 1 a, and 2 g when four letters picked without replacement from gcvgaaagvvgag. Fix: 24/143 Part A: What is prob of picking 1 p and 1 t when two letters picked without replacement from {p: 3, q: 2, t: 15}? Fix: 9/38 Part A: Two letters picked without replacement from {e: 15, v: 3}. Give prob of picking 1 e and 1 v. Fix: 5/17 Part A: Four letters picked without replacement from abbkeeaaebbbeeaebb. What is prob of picking 4 b? Fix: 7/612 Part A: Two letters picked without replacement from dvvyydvdd. What is prob of picking 1 v and 1 d? Fix: 1/3 Part A: Three letters picked without replacement from qtllsxq. Give prob of picking 1 t, 1 q, and 1 l. Fix: 4/35 Part A: Three letters picked without replacement from gggggggggggggggcggg. Give prob of picking 2 g and 1 c. Fix: 3/19 Part A: Calculate prob of picking 3 n and 1 x when four letters picked without replacement from nxqxnxnxxnqxxq. Fix: 4/143 Part A: Four letters picked without replacement from lllllll. What is prob of picking 4 l? Fix: 1 Part A: Three letters picked without replacement from nnnnknnn. What is prob of picking 3 n? Fix: 5/8 Part A: Four letters picked without replacement from {r: 8, j: 1, q: 11}. What is prob of picking 4 r? Fix: 14/969 Part A: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from qjojjjqojovojqoon. Fix: 9/68 Part A: C
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numbers: is factor ------------------ Example: Is 879 a factor of 514215? Workthrough: True Example: Does 487 divide 46168574? Workthrough: True Example: Is 868133 a multiple of 15? Workthrough: False Example: Is 103635 a multiple of 63? Workthrough: True Example: Is 9 a factor of 62085? Workthrough: False Example: Does 5 divide 138471? Workthrough: False Example: Does 15 divide 17490? Workthrough: True Example: Does 2090 divide 7980901? Workthrough: False Example: Does 247 divide 2185703? Workthrough: True Example: Does 61 divide 220198? Workthrough: False Example: Is 3618043 a multiple of 143? Workthrough: True Example: Is 33060 a multiple of 37? Workthrough: False Example: Is 34550211 a multiple of 10? Workthrough: False Example: Does 43 divide 1106? Workthrough: False Example: Does 281 divide 7969971162? Workthrough: False Example: Is 112 a multiple of 28? Workthrough: True Example: Is 7 a factor of 9966481? Workthrough: True Example: Does 9 divide 7087? Workthrough: False Example: Is 10 a factor of 33492? Workthrough: False Example: Does 7 divide 158111555? Workthrough: True Example: Is 2934161 a multiple of 708? Workthrough: False Example: Does 16 divide 616? Workthrough: False Example: Is 81 a factor of 1220? Workthrough: False Example: Is 562 a factor of 21801666? Workthrough: True Example: Does 198 divide 407164? Workthrough: False Example: Is 39 a factor of 517296? Workthrough: True Example: Is 9 a factor of 29302237? Workthrough: False Example: Is 164 a factor of 1629668? Workthrough: True Example: Does 177 divide 138591? Workthrough: True Example: Is 982 a factor of 41053809? Workthrough: False Example: Is 460 a factor of 1092500? Workthrough: True Example: Does 15 divide 2518950? Workthrough: True Example: Is 13 a factor of 406? Workthrough: False Example: Is 94287580 a multiple of 115? Workthrough: True Example: Is 416 a factor of 37856? Workthrough: True Example: Does 55 divide 25038860? Workthrough: True Example: Is 62055 a multiple of 5? Workthrough
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numbers: gcd ------------ Problem Statement: What is the highest common divisor of 172 and 215? Finding: 43 Problem Statement: What is the highest common factor of 39 and 1573? Finding: 13 Problem Statement: Calculate the highest common divisor of 1655 and 8925415. Finding: 1655 Problem Statement: Calculate the greatest common divisor of 89 and 4. Finding: 1 Problem Statement: Calculate the highest common factor of 17 and 1887. Finding: 17 Problem Statement: Calculate the highest common divisor of 13 and 43885543. Finding: 13 Problem Statement: What is the greatest common factor of 39292479 and 54? Finding: 27 Problem Statement: Calculate the highest common factor of 93 and 20585209. Finding: 31 Problem Statement: What is the highest common divisor of 273 and 429? Finding: 39 Problem Statement: What is the greatest common factor of 2424 and 12? Finding: 12 Problem Statement: Calculate the highest common divisor of 188232 and 496. Finding: 248 Problem Statement: What is the greatest common factor of 171 and 9? Finding: 9 Problem Statement: Calculate the highest common factor of 40 and 15. Finding: 5 Problem Statement: What is the greatest common factor of 1197 and 1142109? Finding: 171 Problem Statement: What is the greatest common factor of 856 and 18357816? Finding: 8 Problem Statement: Calculate the highest common divisor of 61 and 122. Finding: 61 Problem Statement: What is the highest common factor of 43 and 1075? Finding: 43 Problem Statement: What is the greatest common factor of 5 and 305? Finding: 5 Problem Statement: Calculate the greatest common divisor of 91 and 147. Finding: 7 Problem Statement: What is the greatest common divisor of 2646 and 55465830? Finding: 378 Problem Statement: Calculate the highest common divisor of 893 and 8170. Finding: 19 Problem Statement: Calculate the greatest common divisor of 3358 and 5986. Finding: 146 Problem Statement: Calculate the highest common divisor of 47 and 3874727. Finding: 47 Problem Statement: Calculate the g
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measurement: time ----------------- Conundrum: What is 331 minutes after 5:31 AM? Response: 11:02 AM Conundrum: How many minutes are there between 9:03 PM and 11:56 PM? Response: 173 Conundrum: How many minutes are there between 8:16 AM and 9:38 AM? Response: 82 Conundrum: How many minutes are there between 5:12 AM and 6:44 AM? Response: 92 Conundrum: What is 152 minutes after 8:48 PM? Response: 11:20 PM Conundrum: How many minutes are there between 1:06 AM and 3:03 AM? Response: 117 Conundrum: How many minutes are there between 9:19 AM and 3:35 PM? Response: 376 Conundrum: How many minutes are there between 2:19 AM and 12:37 PM? Response: 618 Conundrum: What is 54 minutes after 8:46 AM? Response: 9:40 AM Conundrum: What is 302 minutes after 7:39 PM? Response: 12:41 AM Conundrum: What is 682 minutes after 7:17 AM? Response: 6:39 PM Conundrum: What is 625 minutes after 5:05 PM? Response: 3:30 AM Conundrum: What is 623 minutes before 5:04 AM? Response: 6:41 PM Conundrum: What is 149 minutes before 6:33 AM? Response: 4:04 AM Conundrum: How many minutes are there between 4:17 PM and 9:27 PM? Response: 310 Conundrum: How many minutes are there between 11:34 AM and 9:10 PM? Response: 576 Conundrum: What is 144 minutes before 8:19 PM? Response: 5:55 PM Conundrum: What is 504 minutes after 7:12 AM? Response: 3:36 PM Conundrum: How many minutes are there between 11:16 AM and 11:55 AM? Response: 39 Conundrum: What is 584 minutes before 6:21 PM? Response: 8:37 AM Conundrum: How many minutes are there between 5:55 AM and 1:56 PM? Response: 481 Conundrum: What is 56 minutes before 2:27 PM? Response: 1:31 PM Conundrum: How many minutes are there between 9:26 PM and 5:36 AM? Response: 490 Conundrum: How many minutes are there between 2:47 AM and 2:06 PM? Response: 679 Conundrum: How many minutes are there between 1:34 AM and 5:32 AM? Response: 238 Conundrum: How many minutes are there between 12:07 AM and 11:07 AM? Response: 660 Conundrum: What is 582 minutes before 12:56 AM? Resp
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measurement: conversion ----------------------- Problem #: How many nanograms are there in twenty-six fifths of a microgram? Gives: 5200 Problem #: How many years are there in five quarters of a century? Gives: 125 Problem #: Convert 399.7502 years to decades. Gives: 39.97502 Problem #: How many nanometers are there in 6/25 of a micrometer? Gives: 240 Problem #: Convert 197008.3 nanoseconds to milliseconds. Gives: 0.1970083 Problem #: How many millilitres are there in one quarter of a litre? Gives: 250 Problem #: How many weeks are there in 6750996.84ns? Gives: 0.0000000111623625 Problem #: How many millimeters are there in fifteen quarters of a meter? Gives: 3750 Problem #: Convert 285680.88ns to minutes. Gives: 0.000004761348 Problem #: How many years are there in 46/5 of a decade? Gives: 92 Problem #: How many tonnes are there in 845.9311ng? Gives: 0.0000000000008459311 Problem #: How many millilitres are there in 5/4 of a litre? Gives: 1250 Problem #: How many minutes are there in 338978.1 seconds? Gives: 5649.635 Problem #: How many seconds are there in 4/3 of a minute? Gives: 80 Problem #: How many millilitres are there in eighteen fifths of a litre? Gives: 3600 Problem #: What is 4.33469 milligrams in grams? Gives: 0.00433469 Problem #: What is one tenth of a millisecond in nanoseconds? Gives: 100000 Problem #: What is five quarters of a litre in millilitres? Gives: 1250 Problem #: What is twenty-eight thirds of a week in hours? Gives: 1568 Problem #: How many months are there in one fifteenth of a decade? Gives: 8 Problem #: How many years are there in 171.75984 months? Gives: 14.31332 Problem #: How many nanometers are there in 248.989 meters? Gives: 248989000000 Problem #: What is 5/8 of a litre in millilitres? Gives: 625 Problem #: Convert 647088.9 minutes to hours. Gives: 10784.815 Problem #: Convert 64002.9ug to grams. Gives: 0.0640029 Problem #: How many microseconds are there in seven halves of a millisecond? Gives: 3500 Problem #: What is five quarte
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numbers: place value -------------------- Request: What is the tens digit of 122? Compute: 2 Request: What is the hundreds digit of 663159420? Compute: 4 Request: What is the tens digit of 7272? Compute: 7 Request: What is the ten thousands digit of 190106? Compute: 9 Request: What is the millions digit of 1381138? Compute: 1 Request: What is the hundreds digit of 71093585? Compute: 5 Request: What is the tens digit of 4336? Compute: 3 Request: What is the thousands digit of 147295? Compute: 7 Request: What is the millions digit of 2973367? Compute: 2 Request: What is the units digit of 1186? Compute: 6 Request: What is the hundred thousands digit of 248640? Compute: 2 Request: What is the thousands digit of 32258? Compute: 2 Request: What is the hundreds digit of 3035821892? Compute: 8 Request: What is the units digit of 1678? Compute: 8 Request: What is the ten thousands digit of 720355? Compute: 2 Request: What is the tens digit of 3870962? Compute: 6 Request: What is the thousands digit of 3814644? Compute: 4 Request: What is the thousands digit of 48264? Compute: 8 Request: What is the units digit of 765394? Compute: 4 Request: What is the thousands digit of 182410072? Compute: 0 Request: What is the units digit of 60012? Compute: 2 Request: What is the hundred thousands digit of 9824936? Compute: 8 Request: What is the tens digit of 2443? Compute: 4 Request: What is the thousands digit of 2015978? Compute: 5 Request: What is the hundreds digit of 4634? Compute: 6 Request: What is the units digit of 1789? Compute: 9 Request: What is the hundreds digit of 6054? Compute: 0 Request: What is the ten millions digit of 445095968? Compute: 4 Request: What is the units digit of 1739637? Compute: 7 Request: What is the units digit of 7671834955? Compute: 5 Request: What is the tens digit of 2084? Compute: 8 Request: What is the thousands digit of 644464? Compute: 4 Request: What is the millions digit of 68511384? Compute: 8 Request: What is the ten millions digit of 520
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numbers: div remainder ---------------------- Scenario: What is the remainder when 698 is divided by 153? β†’: 86 Scenario: Calculate the remainder when 74 is divided by 46. β†’: 28 Scenario: What is the remainder when 40097318 is divided by 2219? β†’: 2207 Scenario: What is the remainder when 445 is divided by 223? β†’: 222 Scenario: Calculate the remainder when 34964 is divided by 152. β†’: 4 Scenario: What is the remainder when 9212 is divided by 616? β†’: 588 Scenario: What is the remainder when 3691817 is divided by 21? β†’: 17 Scenario: What is the remainder when 107684 is divided by 353? β†’: 19 Scenario: What is the remainder when 179 is divided by 100? β†’: 79 Scenario: What is the remainder when 126446 is divided by 56? β†’: 54 Scenario: What is the remainder when 381 is divided by 81? β†’: 57 Scenario: What is the remainder when 19188 is divided by 101? β†’: 99 Scenario: What is the remainder when 2607 is divided by 45? β†’: 42 Scenario: What is the remainder when 462924 is divided by 1105? β†’: 1034 Scenario: Calculate the remainder when 1352960 is divided by 858. β†’: 752 Scenario: What is the remainder when 1689 is divided by 551? β†’: 36 Scenario: What is the remainder when 12021 is divided by 34? β†’: 19 Scenario: What is the remainder when 2604135 is divided by 77? β†’: 72 Scenario: What is the remainder when 42661456 is divided by 650? β†’: 6 Scenario: Calculate the remainder when 20076 is divided by 9484. β†’: 1108 Scenario: What is the remainder when 69420 is divided by 547? β†’: 498 Scenario: What is the remainder when 151236 is divided by 95? β†’: 91 Scenario: What is the remainder when 28310 is divided by 120? β†’: 110 Scenario: Calculate the remainder when 331631 is divided by 163003. β†’: 5625 Scenario: What is the remainder when 452 is divided by 113? β†’: 0 Scenario: Calculate the remainder when 39280 is divided by 1635. β†’: 40 Scenario: What is the remainder when 214 is divided by 51? β†’: 10 Scenario: What is the remainder when 1271 is divided by 67? β†’: 65 Scenario: Calculate the remainder
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probability: swr p level set ---------------------------- Ask: What is prob of picking 1 a and 1 i when two letters picked without replacement from iqiea? Calculation: 1/5 Ask: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from {j: 10, l: 10}. Calculation: 15/38 Ask: Four letters picked without replacement from {f: 16, j: 2}. Give prob of picking 1 j and 3 f. Calculation: 56/153 Ask: What is prob of picking 1 f, 2 y, and 1 g when four letters picked without replacement from ynyvyfyggfvyynvyybyg? Calculation: 72/1615 Ask: Four letters picked without replacement from {v: 2, k: 3, s: 5}. What is prob of picking 1 s, 1 k, and 2 v? Calculation: 1/14 Ask: Calculate prob of picking 4 u when four letters picked without replacement from jujuujuujj. Calculation: 1/42 Ask: Two letters picked without replacement from {q: 1, z: 7, v: 6}. Give prob of picking 1 v and 1 z. Calculation: 6/13 Ask: Three letters picked without replacement from ljglkklklss. What is prob of picking 3 k? Calculation: 1/165 Ask: Two letters picked without replacement from {d: 3, b: 3, f: 4, i: 4, m: 5, e: 1}. What is prob of picking 1 i and 1 f? Calculation: 8/95 Ask: Two letters picked without replacement from mttby. Give prob of picking 2 b. Calculation: 0 Ask: Three letters picked without replacement from {e: 4, x: 1, v: 3}. Give prob of picking 1 v, 1 e, and 1 x. Calculation: 3/14 Ask: Three letters picked without replacement from upqueqeppfqq. Give prob of picking 3 e. Calculation: 0 Ask: Calculate prob of picking 3 d when three letters picked without replacement from dqqqddqqqq. Calculation: 1/120 Ask: What is prob of picking 4 f when four letters picked without replacement from ggffssgfgfffggfgsf? Calculation: 7/306 Ask: What is prob of picking 3 k when three letters picked without replacement from kkllkkkkklkkllll? Calculation: 3/20 Ask: Two letters picked without replacement from {m: 2, e: 4, r: 8}. Give prob of picking 2 r. Calculation: 4/13 Ask: Four lette
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numbers: place value -------------------- Scenario: What is the hundred thousands digit of 13341114? Eval: 3 Scenario: What is the thousands digit of 3504? Eval: 3 Scenario: What is the thousands digit of 10140? Eval: 0 Scenario: What is the hundreds digit of 80755? Eval: 7 Scenario: What is the ten thousands digit of 48393? Eval: 4 Scenario: What is the millions digit of 2678452? Eval: 2 Scenario: What is the ten thousands digit of 681579134? Eval: 7 Scenario: What is the units digit of 348283020? Eval: 0 Scenario: What is the tens digit of 210285? Eval: 8 Scenario: What is the millions digit of 3953406? Eval: 3 Scenario: What is the units digit of 23527? Eval: 7 Scenario: What is the thousands digit of 211514269? Eval: 4 Scenario: What is the tens digit of 31166001? Eval: 0 Scenario: What is the units digit of 15? Eval: 5 Scenario: What is the hundred thousands digit of 1842304? Eval: 8 Scenario: What is the thousands digit of 14175? Eval: 4 Scenario: What is the tens digit of 2740? Eval: 4 Scenario: What is the hundreds digit of 45085? Eval: 0 Scenario: What is the hundreds digit of 247956? Eval: 9 Scenario: What is the tens digit of 9083? Eval: 8 Scenario: What is the units digit of 1474971? Eval: 1 Scenario: What is the millions digit of 38052096? Eval: 8 Scenario: What is the hundreds digit of 1585? Eval: 5 Scenario: What is the hundred thousands digit of 153186? Eval: 1 Scenario: What is the tens digit of 836? Eval: 3 Scenario: What is the hundreds digit of 4954544? Eval: 5 Scenario: What is the hundred thousands digit of 541121? Eval: 5 Scenario: What is the units digit of 1433? Eval: 3 Scenario: What is the millions digit of 38264133? Eval: 8 Scenario: What is the thousands digit of 86641? Eval: 6 Scenario: What is the millions digit of 3068684707? Eval: 8 Scenario: What is the millions digit of 20390544? Eval: 0 Scenario: What is the ten thousands digit of 24236539? Eval: 3 Scenario: What is the thousands digit of 1695002? Eval: 5 Scenario: What is the ten
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probability: swr p level set ---------------------------- Given: Four letters picked without replacement from {y: 8, i: 5}. What is prob of picking 4 y? Workthrough: 14/143 Given: Three letters picked without replacement from bbbjbbffjbb. What is prob of picking 1 b and 2 f? Workthrough: 7/165 Given: Two letters picked without replacement from {m: 1, u: 1, k: 3, x: 5}. Give prob of picking 1 x and 1 k. Workthrough: 1/3 Given: What is prob of picking 1 m, 1 i, 1 g, and 1 y when four letters picked without replacement from iyiyyiyiiiiiymgyiy? Workthrough: 7/340 Given: Calculate prob of picking 2 h and 1 v when three letters picked without replacement from cgzhghvve. Workthrough: 1/42 Given: Four letters picked without replacement from chunfncnhffn. Give prob of picking 1 f, 1 u, and 2 h. Workthrough: 1/165 Given: Four letters picked without replacement from {q: 4, z: 3, d: 5, w: 1}. Give prob of picking 4 q. Workthrough: 1/715 Given: What is prob of picking 1 c and 3 d when four letters picked without replacement from iiciiuixduuduuiuiddi? Workthrough: 4/4845 Given: Three letters picked without replacement from {o: 5, c: 3}. Give prob of picking 1 o and 2 c. Workthrough: 15/56 Given: Two letters picked without replacement from {a: 7, y: 9, b: 2}. Give prob of picking 2 a. Workthrough: 7/51 Given: Two letters picked without replacement from bbbbbxbbbxbbexe. Give prob of picking 1 x and 1 e. Workthrough: 2/35 Given: Four letters picked without replacement from {l: 2, t: 1, u: 4, g: 2, e: 2, i: 6}. What is prob of picking 1 e, 1 t, and 2 g? Workthrough: 1/1190 Given: Three letters picked without replacement from {o: 1, e: 2, h: 4, j: 1, x: 2}. Give prob of picking 1 j, 1 e, and 1 h. Workthrough: 1/15 Given: Three letters picked without replacement from {b: 6, r: 12}. What is prob of picking 1 b and 2 r? Workthrough: 33/68 Given: What is prob of picking 2 y when two letters picked without replacement from {p: 1, y: 7}? Workthrough: 3/4 Given: Two letters picked without re
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measurement: conversion ----------------------- Task: What is 558.7206g in milligrams? Answer: 558720.6 Task: What is 16.51815 litres in millilitres? Answer: 16518.15 Task: Convert 4219.913 litres to millilitres. Answer: 4219913 Task: What is 3/5 of a tonne in kilograms? Answer: 600 Task: How many micrograms are there in 0.3906258g? Answer: 390625.8 Task: Convert 7166.561 hours to microseconds. Answer: 25799619600000 Task: What is one quarter of a week in minutes? Answer: 2520 Task: What is twenty-nine halves of a second in milliseconds? Answer: 14500 Task: What is 7/4 of a kilogram in grams? Answer: 1750 Task: How many millimeters are there in three tenths of a meter? Answer: 300 Task: How many meters are there in 8.267539 micrometers? Answer: 0.000008267539 Task: What is 53/5 of a decade in years? Answer: 106 Task: How many grams are there in 3/10 of a kilogram? Answer: 300 Task: Convert 0.8628525 minutes to seconds. Answer: 51.77115 Task: How many kilograms are there in 0.6619932ug? Answer: 0.0000000006619932 Task: What is 96.70825 years in millennia? Answer: 0.09670825 Task: How many millilitres are there in 1/5 of a litre? Answer: 200 Task: What is 293932.8 months in millennia? Answer: 24.4944 Task: What is 811.7814 months in millennia? Answer: 0.06764845 Task: How many kilograms are there in thirty-three fifths of a tonne? Answer: 6600 Task: How many minutes are there in 10/7 of a week? Answer: 14400 Task: How many months are there in 1/20 of a decade? Answer: 6 Task: What is 3/8 of a meter in millimeters? Answer: 375 Task: How many millilitres are there in eleven halves of a litre? Answer: 5500 Task: What is 76.0326m in nanometers? Answer: 76032600000 Task: How many millilitres are there in 1.029712l? Answer: 1029.712 Task: How many millilitres are there in 27/5 of a litre? Answer: 5400 Task: What is 150.3301 milligrams in grams? Answer: 0.1503301 Task: How many millilitres are there in 37/2 of a litre? Answer: 18500 Task: How many litres are there in 98404.2
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numbers: is factor ------------------ Subquestion: Is 486 a factor of 176418? Ans: True Subquestion: Is 289 a factor of 115812? Ans: False Subquestion: Is 167188 a multiple of 14? Ans: True Subquestion: Is 87464 a multiple of 3? Ans: False Subquestion: Is 182 a factor of 296534? Ans: False Subquestion: Does 58 divide 1883318? Ans: True Subquestion: Does 47 divide 376? Ans: True Subquestion: Does 4166 divide 38768796? Ans: True Subquestion: Is 34 a factor of 108086? Ans: True Subquestion: Is 939 a factor of 437683? Ans: False Subquestion: Is 12 a factor of 20851681? Ans: False Subquestion: Does 4 divide 109084? Ans: True Subquestion: Is 4858 a multiple of 21? Ans: False Subquestion: Does 45 divide 1809085? Ans: False Subquestion: Is 29 a factor of 783? Ans: True Subquestion: Is 11089980 a multiple of 495? Ans: True Subquestion: Is 187060524 a multiple of 14? Ans: True Subquestion: Is 43 a factor of 3167? Ans: False Subquestion: Is 399 a multiple of 19? Ans: True Subquestion: Does 26 divide 728? Ans: True Subquestion: Is 54 a factor of 11105640? Ans: True Subquestion: Does 16 divide 941934908? Ans: False Subquestion: Is 84 a factor of 8306803? Ans: False Subquestion: Is 38 a factor of 582? Ans: False Subquestion: Is 4 a factor of 1943? Ans: False Subquestion: Is 501 a factor of 4224857846? Ans: False Subquestion: Is 238 a multiple of 11? Ans: False Subquestion: Is 3976 a multiple of 14? Ans: True Subquestion: Is 12835 a multiple of 14? Ans: False Subquestion: Is 942 a factor of 116919113? Ans: False Subquestion: Does 2093 divide 37119355? Ans: True Subquestion: Does 28 divide 252? Ans: True Subquestion: Is 1370625154 a multiple of 40? Ans: False Subquestion: Is 11655 a multiple of 37? Ans: True Subquestion: Is 4367760 a multiple of 40? Ans: True Subquestion: Is 32674 a multiple of 31? Ans: True Subquestion: Does 14 divide 4273038? Ans: True Subquestion: Is 3 a factor of 7426584? Ans: True Subquestion: Is 42 a factor of 2470? Ans: False Subquestion: Is 4 a factor of 72
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probability: swr p sequence --------------------------- Puzzle: Calculate prob of sequence pp when two letters picked without replacement from pptcptpcp. Solution: 5/18 Puzzle: Two letters picked without replacement from eliueeeupioeeee. Give prob of sequence uo. Solution: 1/105 Puzzle: What is prob of sequence ssss when four letters picked without replacement from essseseseeee? Solution: 1/99 Puzzle: Calculate prob of sequence asao when four letters picked without replacement from aosaaoa. Solution: 1/35 Puzzle: Two letters picked without replacement from xfffgfhfffffgff. Give prob of sequence fx. Solution: 11/210 Puzzle: Three letters picked without replacement from {s: 4, g: 1, o: 1, h: 2, v: 1}. Give prob of sequence vhv. Solution: 0 Puzzle: What is prob of sequence xw when two letters picked without replacement from pwbwxxwjjwwpwxxj? Solution: 1/10 Puzzle: Calculate prob of sequence ve when two letters picked without replacement from vuueeueueeeeueu. Solution: 4/105 Puzzle: What is prob of sequence fd when two letters picked without replacement from fffdfd? Solution: 4/15 Puzzle: Calculate prob of sequence hhf when three letters picked without replacement from wwwwwhwwhfwwwwwww. Solution: 1/2040 Puzzle: Four letters picked without replacement from eeleenlne. What is prob of sequence enel? Solution: 5/189 Puzzle: Calculate prob of sequence sii when three letters picked without replacement from {e: 1, i: 3, u: 4, z: 1, s: 1, t: 2}. Solution: 1/220 Puzzle: What is prob of sequence im when two letters picked without replacement from oruoooiromiodrr? Solution: 1/105 Puzzle: Three letters picked without replacement from {p: 1, w: 10, e: 1, c: 7}. Give prob of sequence wwe. Solution: 5/323 Puzzle: Two letters picked without replacement from ypykyycyyypyyccy. Give prob of sequence cy. Solution: 1/8 Puzzle: Three letters picked without replacement from vvrrrr. Give prob of sequence vrv. Solution: 1/15 Puzzle: Two letters picked without replacement from gibgniiggggnniiwi
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probability: swr p sequence --------------------------- Ask: Two letters picked without replacement from {u: 2, i: 10}. What is prob of sequence ii? A: 15/22 Ask: What is prob of sequence kklv when four letters picked without replacement from vvvvlvvkllvvlvlk? A: 3/1456 Ask: Four letters picked without replacement from {z: 9, s: 7}. Give prob of sequence szss. A: 9/208 Ask: Two letters picked without replacement from ealaielb. Give prob of sequence ea. A: 1/14 Ask: Calculate prob of sequence llle when four letters picked without replacement from {l: 5, a: 4, e: 5, r: 1}. A: 5/546 Ask: Three letters picked without replacement from {a: 8, c: 5, d: 2, i: 1, n: 2}. Give prob of sequence dni. A: 1/1224 Ask: What is prob of sequence jbf when three letters picked without replacement from {q: 1, j: 1, f: 1, u: 1, b: 1}? A: 1/60 Ask: What is prob of sequence ts when two letters picked without replacement from {s: 5, d: 1, e: 8, t: 1, w: 3, u: 2}? A: 1/76 Ask: What is prob of sequence fl when two letters picked without replacement from {k: 2, f: 1, j: 2, l: 1}? A: 1/30 Ask: What is prob of sequence yaas when four letters picked without replacement from yyaksya? A: 1/140 Ask: Calculate prob of sequence nnn when three letters picked without replacement from {n: 11, g: 1}. A: 3/4 Ask: Two letters picked without replacement from {n: 7, h: 6}. Give prob of sequence hh. A: 5/26 Ask: Four letters picked without replacement from zhlsllllslzl. What is prob of sequence lhss? A: 7/5940 Ask: Three letters picked without replacement from {s: 1, q: 5, o: 4, r: 1, i: 5, f: 1}. What is prob of sequence rsf? A: 1/4080 Ask: What is prob of sequence pllp when four letters picked without replacement from {l: 4, p: 3, m: 1}? A: 3/70 Ask: Calculate prob of sequence ddd when three letters picked without replacement from {o: 3, d: 4}. A: 4/35 Ask: Four letters picked without replacement from ovyevoajeovooevejajo. What is prob of sequence evvo? A: 4/1615 Ask: Calculate prob of sequence ffz when three
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probability: swr p sequence --------------------------- Prompt: What is prob of sequence mvmv when four letters picked without replacement from mmmmmmvmmmmmmvmv? Key: 3/140 Prompt: Calculate prob of sequence guu when three letters picked without replacement from {b: 1, i: 6, u: 3, g: 1, e: 6}. Key: 1/680 Prompt: Three letters picked without replacement from eeefeeefff. What is prob of sequence eee? Key: 1/6 Prompt: What is prob of sequence zyhh when four letters picked without replacement from yqhzhhy? Key: 1/70 Prompt: Calculate prob of sequence vz when two letters picked without replacement from bbvzfbbfzzzfffz. Key: 1/42 Prompt: Four letters picked without replacement from lelklljvbkvvjlveklkb. What is prob of sequence jvkk? Key: 4/4845 Prompt: Four letters picked without replacement from {r: 2, l: 9, k: 5}. Give prob of sequence krll. Key: 3/182 Prompt: Two letters picked without replacement from hxmmmahhhnmnhhxhhhh. Give prob of sequence ha. Key: 5/171 Prompt: What is prob of sequence weji when four letters picked without replacement from {g: 2, j: 1, e: 1, w: 5, m: 2, i: 4}? Key: 1/1638 Prompt: Calculate prob of sequence fcf when three letters picked without replacement from vrgzrffzrvzc. Key: 1/660 Prompt: Four letters picked without replacement from omyqeexy. What is prob of sequence oeyy? Key: 1/420 Prompt: What is prob of sequence sss when three letters picked without replacement from rarrsrryysrrrsyaryr? Key: 1/969 Prompt: Calculate prob of sequence tzh when three letters picked without replacement from {d: 2, h: 1, z: 1, t: 1, n: 2}. Key: 1/210 Prompt: Calculate prob of sequence hhyy when four letters picked without replacement from hhhyyyyyyhyyh. Key: 28/429 Prompt: Calculate prob of sequence bee when three letters picked without replacement from {e: 4, w: 3, b: 5, h: 4}. Key: 1/56 Prompt: Two letters picked without replacement from {e: 1, z: 1, a: 1, l: 1, y: 1, d: 2}. What is prob of sequence ed? Key: 1/21 Prompt: Two letters picked without replacemen
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numbers: div remainder ---------------------- Subject: What is the remainder when 3583747 is divided by 279? Solution: 271 Subject: What is the remainder when 93 is divided by 7? Solution: 2 Subject: Calculate the remainder when 62685 is divided by 2013. Solution: 282 Subject: Calculate the remainder when 11840251 is divided by 4413. Solution: 172 Subject: What is the remainder when 52 is divided by 6? Solution: 4 Subject: What is the remainder when 114292604 is divided by 15? Solution: 14 Subject: Calculate the remainder when 44849 is divided by 93. Solution: 23 Subject: What is the remainder when 1874 is divided by 468? Solution: 2 Subject: What is the remainder when 1652010 is divided by 457? Solution: 412 Subject: What is the remainder when 226 is divided by 43? Solution: 11 Subject: What is the remainder when 4023 is divided by 309? Solution: 6 Subject: Calculate the remainder when 279304 is divided by 101. Solution: 39 Subject: What is the remainder when 100905746 is divided by 1867? Solution: 1864 Subject: Calculate the remainder when 5209838 is divided by 2216. Solution: 22 Subject: Calculate the remainder when 15279 is divided by 7188. Solution: 903 Subject: What is the remainder when 448 is divided by 113? Solution: 109 Subject: Calculate the remainder when 629 is divided by 42. Solution: 41 Subject: What is the remainder when 1584862 is divided by 1584850? Solution: 12 Subject: Calculate the remainder when 8763549 is divided by 3944. Solution: 3925 Subject: What is the remainder when 1784 is divided by 47? Solution: 45 Subject: Calculate the remainder when 1521 is divided by 168. Solution: 9 Subject: What is the remainder when 1050 is divided by 32? Solution: 26 Subject: Calculate the remainder when 18695 is divided by 1335. Solution: 5 Subject: What is the remainder when 452 is divided by 33? Solution: 23 Subject: What is the remainder when 605747 is divided by 52? Solution: 51 Subject: What is the remainder when 3163008 is divided by 3162930? Solution:
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numbers: div remainder ---------------------- What if: What is the remainder when 9401829 is divided by 138262? Answer: 13 What if: What is the remainder when 822 is divided by 270? Answer: 12 What if: Calculate the remainder when 24 is divided by 7. Answer: 3 What if: What is the remainder when 16843 is divided by 16522? Answer: 321 What if: Calculate the remainder when 11131671 is divided by 1391456. Answer: 23 What if: Calculate the remainder when 1159651 is divided by 1437. Answer: 1429 What if: Calculate the remainder when 4553 is divided by 99. Answer: 98 What if: What is the remainder when 124 is divided by 63? Answer: 61 What if: Calculate the remainder when 1063 is divided by 91. Answer: 62 What if: What is the remainder when 671 is divided by 16? Answer: 15 What if: What is the remainder when 4625 is divided by 210? Answer: 5 What if: Calculate the remainder when 394 is divided by 11. Answer: 9 What if: Calculate the remainder when 1430 is divided by 709. Answer: 12 What if: What is the remainder when 5974 is divided by 2546? Answer: 882 What if: What is the remainder when 39432 is divided by 477? Answer: 318 What if: What is the remainder when 300616 is divided by 10366? Answer: 2 What if: What is the remainder when 720898 is divided by 144178? Answer: 8 What if: What is the remainder when 2813 is divided by 346? Answer: 45 What if: Calculate the remainder when 45 is divided by 23. Answer: 22 What if: What is the remainder when 630 is divided by 309? Answer: 12 What if: Calculate the remainder when 7697 is divided by 1924. Answer: 1 What if: Calculate the remainder when 148968 is divided by 49655. Answer: 3 What if: Calculate the remainder when 393914 is divided by 98343. Answer: 542 What if: Calculate the remainder when 7378 is divided by 211. Answer: 204 What if: What is the remainder when 66791 is divided by 253? Answer: 252 What if: What is the remainder when 223 is divided by 7? Answer: 6 What if: Calculate the remainder when 12765 is divided by 18.
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numbers: gcd ------------ Case: What is the highest common divisor of 43 and 3162? Soln: 1 Case: What is the highest common divisor of 72 and 1476? Soln: 36 Case: Calculate the highest common divisor of 246318 and 23912. Soln: 122 Case: Calculate the highest common factor of 29 and 232. Soln: 29 Case: Calculate the highest common divisor of 3577 and 315068. Soln: 73 Case: Calculate the highest common divisor of 9330 and 150. Soln: 30 Case: What is the highest common divisor of 12 and 450? Soln: 6 Case: Calculate the highest common divisor of 118 and 1121. Soln: 59 Case: Calculate the greatest common divisor of 42736865 and 58. Soln: 29 Case: What is the greatest common divisor of 341 and 186? Soln: 31 Case: What is the highest common factor of 3 and 669? Soln: 3 Case: Calculate the highest common divisor of 5 and 295. Soln: 5 Case: What is the highest common divisor of 1334855652 and 8762? Soln: 8762 Case: What is the greatest common factor of 28 and 56596? Soln: 4 Case: Calculate the greatest common factor of 320 and 499677312. Soln: 64 Case: Calculate the greatest common factor of 96 and 7804. Soln: 4 Case: What is the greatest common factor of 162 and 7244190? Soln: 18 Case: Calculate the highest common divisor of 207 and 23. Soln: 23 Case: Calculate the highest common divisor of 148 and 3145. Soln: 37 Case: What is the greatest common factor of 704 and 2? Soln: 2 Case: What is the highest common factor of 3062956 and 644? Soln: 92 Case: What is the highest common divisor of 94 and 13865? Soln: 47 Case: Calculate the greatest common divisor of 1542352 and 8. Soln: 8 Case: What is the greatest common factor of 14261 and 2548? Soln: 13 Case: What is the greatest common factor of 15 and 465? Soln: 15 Case: What is the highest common divisor of 1751 and 12365562? Soln: 1751 Case: What is the highest common divisor of 345203882 and 309? Soln: 103 Case: Calculate the greatest common factor of 1105056 and 43486. Soln: 2558 Case: What is the greatest common factor of 152
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numbers: is factor ------------------ Question: Is 943 a factor of 830700494? Soln: False Question: Is 243 a factor of 252234? Soln: True Question: Does 9 divide 28? Soln: False Question: Is 649908341 a multiple of 25? Soln: False Question: Is 1167033910 a multiple of 197? Soln: True Question: Does 414 divide 1171681375? Soln: False Question: Is 349 a factor of 2217546? Soln: True Question: Is 21362 a multiple of 19? Soln: False Question: Is 1039237 a multiple of 11? Soln: False Question: Does 256 divide 475648? Soln: True Question: Is 5806755 a multiple of 11? Soln: False Question: Does 96 divide 3467162790? Soln: False Question: Is 137022 a multiple of 138? Soln: False Question: Does 51 divide 18886? Soln: False Question: Does 13 divide 34027383? Soln: True Question: Is 666 a multiple of 100? Soln: False Question: Does 12 divide 408? Soln: True Question: Is 22884855 a multiple of 15? Soln: True Question: Is 1045 a multiple of 55? Soln: True Question: Is 48 a factor of 1237? Soln: False Question: Is 35 a factor of 115149502? Soln: False Question: Is 11 a factor of 2805158? Soln: False Question: Is 802 a factor of 16396106? Soln: False Question: Is 2944 a multiple of 32? Soln: True Question: Is 1851011 even? Soln: False Question: Is 29495952 a multiple of 612? Soln: True Question: Does 18 divide 7308? Soln: True Question: Does 121 divide 29282? Soln: True Question: Is 2020 a multiple of 88? Soln: False Question: Is 45 a factor of 32772? Soln: False Question: Is 134640 a multiple of 102? Soln: True Question: Is 882 a multiple of 21? Soln: True Question: Is 208012 a multiple of 644? Soln: True Question: Is 46241 a multiple of 38? Soln: False Question: Is 10800 a multiple of 40? Soln: True Question: Does 26 divide 995124? Soln: True Question: Does 131 divide 61480? Soln: False Question: Does 12 divide 29335? Soln: False Question: Is 296757679 a multiple of 192? Soln: False Question: Is 175513 a multiple of 299? Soln: True Question: Is 27 a factor of 6366627216? Soln: T
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numbers: div remainder ---------------------- Subquestion: Calculate the remainder when 17745658 is divided by 1813. Resolution: 14 Subquestion: Calculate the remainder when 40863 is divided by 98. Resolution: 95 Subquestion: Calculate the remainder when 1407 is divided by 30. Resolution: 27 Subquestion: Calculate the remainder when 86 is divided by 47. Resolution: 39 Subquestion: What is the remainder when 4100 is divided by 19? Resolution: 15 Subquestion: Calculate the remainder when 1466621 is divided by 293314. Resolution: 51 Subquestion: What is the remainder when 2210 is divided by 421? Resolution: 105 Subquestion: What is the remainder when 2346477 is divided by 15235? Resolution: 287 Subquestion: Calculate the remainder when 109215161 is divided by 15. Resolution: 11 Subquestion: Calculate the remainder when 855 is divided by 183. Resolution: 123 Subquestion: What is the remainder when 120 is divided by 58? Resolution: 4 Subquestion: What is the remainder when 7112 is divided by 2067? Resolution: 911 Subquestion: What is the remainder when 184 is divided by 12? Resolution: 4 Subquestion: Calculate the remainder when 14227 is divided by 51. Resolution: 49 Subquestion: What is the remainder when 53 is divided by 11? Resolution: 9 Subquestion: Calculate the remainder when 264666 is divided by 13. Resolution: 12 Subquestion: What is the remainder when 19398 is divided by 25? Resolution: 23 Subquestion: What is the remainder when 1156 is divided by 13? Resolution: 12 Subquestion: Calculate the remainder when 235856 is divided by 2669. Resolution: 984 Subquestion: What is the remainder when 4038 is divided by 78? Resolution: 60 Subquestion: What is the remainder when 49368 is divided by 1123? Resolution: 1079 Subquestion: What is the remainder when 526 is divided by 16? Resolution: 14 Subquestion: What is the remainder when 24907 is divided by 10? Resolution: 7 Subquestion: What is the remainder when 12 is divided by 6? Resolution: 0 Subquestion: Calculate the rem
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measurement: time ----------------- Input: What is 432 minutes after 12:12 AM? Sol: 7:24 AM Input: What is 456 minutes after 7:16 AM? Sol: 2:52 PM Input: How many minutes are there between 9:41 AM and 3:02 PM? Sol: 321 Input: What is 82 minutes before 11:59 AM? Sol: 10:37 AM Input: What is 309 minutes after 8:02 PM? Sol: 1:11 AM Input: How many minutes are there between 1:37 AM and 3:27 AM? Sol: 110 Input: How many minutes are there between 3:22 PM and 6:15 PM? Sol: 173 Input: What is 360 minutes before 7:30 AM? Sol: 1:30 AM Input: How many minutes are there between 6:06 AM and 11:15 AM? Sol: 309 Input: What is 185 minutes before 8:42 PM? Sol: 5:37 PM Input: How many minutes are there between 3:05 AM and 1:22 PM? Sol: 617 Input: What is 448 minutes before 12:06 PM? Sol: 4:38 AM Input: What is 665 minutes after 1:15 PM? Sol: 12:20 AM Input: What is 12 minutes before 11:41 PM? Sol: 11:29 PM Input: How many minutes are there between 7:09 AM and 7:48 AM? Sol: 39 Input: How many minutes are there between 9:44 PM and 7:26 AM? Sol: 582 Input: What is 493 minutes before 7:04 AM? Sol: 10:51 PM Input: What is 682 minutes before 12:19 PM? Sol: 12:57 AM Input: How many minutes are there between 7:29 PM and 8:11 PM? Sol: 42 Input: What is 107 minutes after 12:02 AM? Sol: 1:49 AM Input: How many minutes are there between 6:18 PM and 4:45 AM? Sol: 627 Input: What is 101 minutes after 7:55 AM? Sol: 9:36 AM Input: What is 429 minutes after 1:06 PM? Sol: 8:15 PM Input: How many minutes are there between 10:10 PM and 6:32 AM? Sol: 502 Input: How many minutes are there between 2:39 AM and 8:03 AM? Sol: 324 Input: What is 310 minutes before 12:49 PM? Sol: 7:39 AM Input: What is 454 minutes after 4:58 PM? Sol: 12:32 AM Input: How many minutes are there between 2:51 AM and 7:28 AM? Sol: 277 Input: How many minutes are there between 2:33 AM and 4:16 AM? Sol: 103 Input: What is 342 minutes after 8:18 AM? Sol: 2:00 PM Input: What is 463 minutes before 8:11 PM? Sol: 12:28 PM Input: What is 52
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probability: swr p level set ---------------------------- Problem: What is prob of picking 1 r and 2 j when three letters picked without replacement from jpjrdrmd? β†’: 1/28 Problem: Three letters picked without replacement from pssacpscssccasaasc. Give prob of picking 1 a, 1 p, and 1 s. β†’: 7/102 Problem: Three letters picked without replacement from gycbggcgggryxrbybx. Give prob of picking 2 b and 1 g. β†’: 3/136 Problem: Two letters picked without replacement from {k: 4, d: 1, q: 2, w: 8, e: 3, m: 2}. What is prob of picking 1 k and 1 e? β†’: 6/95 Problem: Four letters picked without replacement from hhskahahhkaahh. What is prob of picking 1 h, 1 a, and 2 k? β†’: 4/143 Problem: What is prob of picking 1 h and 1 t when two letters picked without replacement from {l: 2, y: 1, t: 3, h: 1}? β†’: 1/7 Problem: What is prob of picking 1 g and 2 t when three letters picked without replacement from ttttttttttttgttttttg? β†’: 51/190 Problem: Four letters picked without replacement from gvvvvggvvvg. Give prob of picking 4 g. β†’: 1/330 Problem: Calculate prob of picking 1 k and 3 n when four letters picked without replacement from nnknnk. β†’: 8/15 Problem: Two letters picked without replacement from uckdbbgc. Give prob of picking 1 g and 1 c. β†’: 1/14 Problem: What is prob of picking 1 n and 2 a when three letters picked without replacement from fnaaanfnfanaanfiaa? β†’: 35/204 Problem: What is prob of picking 1 r, 1 j, and 1 a when three letters picked without replacement from rarsaahlaaajhjr? β†’: 36/455 Problem: Calculate prob of picking 2 s and 1 k when three letters picked without replacement from {k: 3, s: 7, g: 2}. β†’: 63/220 Problem: Two letters picked without replacement from bjbusbbbbuj. Give prob of picking 1 b and 1 j. β†’: 12/55 Problem: Two letters picked without replacement from {u: 3, w: 1, g: 1, l: 5, j: 3, z: 1}. Give prob of picking 1 g and 1 u. β†’: 3/91 Problem: Two letters picked without replacement from hmi. Give prob of picking 1 h and 1 i. β†’: 1/3 Problem: Three letters picked
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arithmetic: nearest integer root -------------------------------- Question: What is the square root of 1354447 to the nearest integer? A.: 1164 Question: What is 2810094 to the power of 1/3, to the nearest integer? A.: 141 Question: What is 91031 to the power of 1/3, to the nearest integer? A.: 45 Question: What is the square root of 1159151 to the nearest integer? A.: 1077 Question: What is 7088 to the power of 1/2, to the nearest integer? A.: 84 Question: What is 705 to the power of 1/4, to the nearest integer? A.: 5 Question: What is 178540 to the power of 1/3, to the nearest integer? A.: 56 Question: What is 204949208 to the power of 1/7, to the nearest integer? A.: 15 Question: What is the third root of 838608 to the nearest integer? A.: 94 Question: What is 14214 to the power of 1/2, to the nearest integer? A.: 119 Question: What is the third root of 9834869 to the nearest integer? A.: 214 Question: What is the seventh root of 64094 to the nearest integer? A.: 5 Question: What is 5183756 to the power of 1/4, to the nearest integer? A.: 48 Question: What is the third root of 970 to the nearest integer? A.: 10 Question: What is the fifth root of 836959 to the nearest integer? A.: 15 Question: What is the sixth root of 2697 to the nearest integer? A.: 4 Question: What is 1309822665 to the power of 1/2, to the nearest integer? A.: 36191 Question: What is 4616 to the power of 1/3, to the nearest integer? A.: 17 Question: What is 6094650 to the power of 1/7, to the nearest integer? A.: 9 Question: What is the square root of 40614518 to the nearest integer? A.: 6373 Question: What is 3699 to the power of 1/2, to the nearest integer? A.: 61 Question: What is 95622783 to the power of 1/2, to the nearest integer? A.: 9779 Question: What is the third root of 1054 to the nearest integer? A.: 10 Question: What is 2078647 to the power of 1/6, to the nearest integer? A.: 11 Question: What is 14144 to the power of 1/7, to the nearest integer? A.: 4 Question: What is 3655730 t
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measurement: time ----------------- Math Q: What is 181 minutes before 9:02 PM? Answer: 6:01 PM Math Q: How many minutes are there between 7:43 AM and 2:43 PM? Answer: 420 Math Q: What is 102 minutes after 1:03 AM? Answer: 2:45 AM Math Q: How many minutes are there between 4:12 AM and 2:29 PM? Answer: 617 Math Q: How many minutes are there between 9:45 PM and 9:47 PM? Answer: 2 Math Q: How many minutes are there between 4:03 PM and 12:14 AM? Answer: 491 Math Q: What is 313 minutes before 10:15 AM? Answer: 5:02 AM Math Q: What is 149 minutes before 6:51 AM? Answer: 4:22 AM Math Q: What is 191 minutes after 12:24 AM? Answer: 3:35 AM Math Q: How many minutes are there between 7:53 AM and 7:32 PM? Answer: 699 Math Q: What is 82 minutes after 1:00 PM? Answer: 2:22 PM Math Q: What is 463 minutes before 2:25 AM? Answer: 6:42 PM Math Q: How many minutes are there between 10:26 AM and 3:18 PM? Answer: 292 Math Q: What is 345 minutes after 1:32 PM? Answer: 7:17 PM Math Q: How many minutes are there between 2:52 AM and 9:51 AM? Answer: 419 Math Q: What is 418 minutes after 2:08 PM? Answer: 9:06 PM Math Q: How many minutes are there between 11:39 AM and 10:54 PM? Answer: 675 Math Q: How many minutes are there between 5:02 PM and 3:14 AM? Answer: 612 Math Q: What is 468 minutes after 10:03 AM? Answer: 5:51 PM Math Q: What is 660 minutes after 12:45 AM? Answer: 11:45 AM Math Q: How many minutes are there between 5:47 PM and 2:53 AM? Answer: 546 Math Q: How many minutes are there between 1:52 AM and 11:01 AM? Answer: 549 Math Q: What is 538 minutes before 4:15 PM? Answer: 7:17 AM Math Q: How many minutes are there between 7:11 AM and 1:25 PM? Answer: 374 Math Q: What is 687 minutes before 1:28 PM? Answer: 2:01 AM Math Q: How many minutes are there between 12:23 AM and 2:59 AM? Answer: 156 Math Q: What is 504 minutes before 6:14 AM? Answer: 9:50 PM Math Q: How many minutes are there between 7:40 PM and 6:43 AM? Answer: 663 Math Q: What is 669 minutes before 11:28 PM? Answer: 12:19
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numbers: is prime ----------------- Step: Is 187970527 a prime number? Conclusion: False Step: Is 94099 a composite number? Conclusion: False Step: Is 100483 composite? Conclusion: False Step: Is 571994581 prime? Conclusion: False Step: Is 470843629 a prime number? Conclusion: True Step: Is 232920727 composite? Conclusion: True Step: Is 459657173 a prime number? Conclusion: False Step: Is 613 composite? Conclusion: False Step: Is 4371967267 prime? Conclusion: True Step: Is 3965629 prime? Conclusion: True Step: Is 11286185 prime? Conclusion: False Step: Is 1947492667 a prime number? Conclusion: False Step: Is 1953672407 a composite number? Conclusion: False Step: Is 26353160767 a prime number? Conclusion: True Step: Is 24257594423 a prime number? Conclusion: False Step: Is 18424977 composite? Conclusion: True Step: Is 1196177 a composite number? Conclusion: False Step: Is 16803622697 a prime number? Conclusion: True Step: Is 2725602823 composite? Conclusion: True Step: Is 439321 composite? Conclusion: True Step: Is 9443547863 composite? Conclusion: True Step: Is 30699663383 a prime number? Conclusion: False Step: Is 19856013917 composite? Conclusion: False Step: Is 90853 a prime number? Conclusion: False Step: Is 7033 composite? Conclusion: True Step: Is 807815 a composite number? Conclusion: True Step: Is 36790891 a composite number? Conclusion: True Step: Is 11863 composite? Conclusion: False Step: Is 22560509233 a prime number? Conclusion: True Step: Is 6052261 prime? Conclusion: True Step: Is 123307 prime? Conclusion: True Step: Is 763207 a composite number? Conclusion: True Step: Is 62345861342 prime? Conclusion: False Step: Is 32808823 prime? Conclusion: True Step: Is 124395149 a composite number? Conclusion: False Step: Is 77137 composite? Conclusion: False Step: Is 92333 a composite number? Conclusion: False Step: Is 15839339543 composite? Conclusion: True Step: Is 12461154619 prime? Conclusion: False Step: Is 25649 a prime number? Conclusion: False Step: Is
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probability: swr p level set ---------------------------- Q: Four letters picked without replacement from {f: 2, z: 11}. What is prob of picking 3 z and 1 f? Eval: 6/13 Q: Four letters picked without replacement from fffpfbfffupbfffb. Give prob of picking 2 b, 1 u, and 1 p. Eval: 3/910 Q: Two letters picked without replacement from iidaa. What is prob of picking 2 a? Eval: 1/10 Q: Two letters picked without replacement from {c: 8, k: 7, d: 3}. What is prob of picking 1 k and 1 c? Eval: 56/153 Q: Four letters picked without replacement from {b: 10, y: 4, q: 1, p: 2}. What is prob of picking 1 b and 3 y? Eval: 2/119 Q: What is prob of picking 1 c and 1 z when two letters picked without replacement from ecezcejeczczccfjf? Eval: 9/68 Q: What is prob of picking 1 t and 2 q when three letters picked without replacement from {q: 2, t: 8}? Eval: 1/15 Q: Four letters picked without replacement from ddeedeeededeeded. Give prob of picking 1 e and 3 d. Eval: 9/52 Q: Calculate prob of picking 1 r and 2 n when three letters picked without replacement from gnniikkkirrinnniigki. Eval: 1/57 Q: What is prob of picking 2 y and 1 j when three letters picked without replacement from {j: 7, y: 2}? Eval: 1/12 Q: Four letters picked without replacement from {r: 10, k: 10}. Give prob of picking 4 r. Eval: 14/323 Q: Calculate prob of picking 3 l when three letters picked without replacement from llllzlllllll. Eval: 3/4 Q: Calculate prob of picking 1 e and 2 z when three letters picked without replacement from {e: 6, z: 13}. Eval: 156/323 Q: What is prob of picking 1 y and 2 u when three letters picked without replacement from {x: 2, u: 5, y: 4}? Eval: 8/33 Q: Three letters picked without replacement from rrbbrrxrx. Give prob of picking 2 r and 1 x. Eval: 5/21 Q: Three letters picked without replacement from huuuuuh. What is prob of picking 1 u and 2 h? Eval: 1/7 Q: Calculate prob of picking 1 u and 2 l when three letters picked without replacement from {u: 10, l: 3, g: 2}. Eval: 6/91 Q: What
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probability: swr p level set ---------------------------- Qn: Three letters picked without replacement from {t: 1, g: 1, q: 3, y: 2, e: 3}. Give prob of picking 1 e, 1 q, and 1 t. Ans: 3/40 Qn: What is prob of picking 1 z and 2 h when three letters picked without replacement from ccccccchzcshcc? Ans: 1/364 Qn: Two letters picked without replacement from wieitwwwwttmwtweit. Give prob of picking 1 m and 1 e. Ans: 2/153 Qn: Two letters picked without replacement from {z: 2, c: 4, b: 7}. What is prob of picking 1 c and 1 z? Ans: 4/39 Qn: What is prob of picking 1 i, 1 v, and 1 n when three letters picked without replacement from {n: 11, i: 3, v: 1}? Ans: 33/455 Qn: Two letters picked without replacement from ycecy. What is prob of picking 2 c? Ans: 1/10 Qn: Four letters picked without replacement from {a: 4, k: 1, s: 7, c: 4, z: 1, x: 3}. Give prob of picking 1 a and 3 x. Ans: 4/4845 Qn: Three letters picked without replacement from pppyyppp. Give prob of picking 1 y and 2 p. Ans: 15/28 Qn: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {s: 1, b: 4, h: 5}. Ans: 4/45 Qn: Three letters picked without replacement from {c: 2, y: 6}. Give prob of picking 2 y and 1 c. Ans: 15/28 Qn: Four letters picked without replacement from twowowwotw. Give prob of picking 2 o and 2 w. Ans: 1/7 Qn: Calculate prob of picking 4 u when four letters picked without replacement from vxuuuuxp. Ans: 1/70 Qn: Calculate prob of picking 3 m when three letters picked without replacement from {f: 1, o: 1, u: 3, q: 5, g: 4, m: 3}. Ans: 1/680 Qn: Four letters picked without replacement from azrrzmus. Give prob of picking 2 r, 1 a, and 1 u. Ans: 1/70 Qn: What is prob of picking 1 f and 1 g when two letters picked without replacement from gifgfsaigji? Ans: 6/55 Qn: Calculate prob of picking 3 t when three letters picked without replacement from tttttpttptttttpttt. Ans: 455/816 Qn: Two letters picked without replacement from uussssssuusu. Give prob of picking 2 u. Ans
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measurement: time ----------------- Task: What is 439 minutes after 8:46 AM? Math A: 4:05 PM Task: What is 302 minutes after 5:56 PM? Math A: 10:58 PM Task: How many minutes are there between 3:05 AM and 11:55 AM? Math A: 530 Task: How many minutes are there between 6:02 AM and 11:46 AM? Math A: 344 Task: What is 50 minutes after 4:42 PM? Math A: 5:32 PM Task: How many minutes are there between 10:46 AM and 11:42 AM? Math A: 56 Task: What is 185 minutes before 11:27 PM? Math A: 8:22 PM Task: How many minutes are there between 2:58 AM and 9:58 AM? Math A: 420 Task: How many minutes are there between 1:14 PM and 11:57 PM? Math A: 643 Task: How many minutes are there between 7:28 PM and 12:20 AM? Math A: 292 Task: How many minutes are there between 11:05 AM and 9:51 PM? Math A: 646 Task: What is 120 minutes after 10:58 AM? Math A: 12:58 PM Task: How many minutes are there between 11:34 PM and 10:17 AM? Math A: 643 Task: What is 675 minutes before 9:25 AM? Math A: 10:10 PM Task: How many minutes are there between 12:24 PM and 11:54 PM? Math A: 690 Task: What is 40 minutes before 1:22 PM? Math A: 12:42 PM Task: What is 391 minutes before 12:36 PM? Math A: 6:05 AM Task: How many minutes are there between 3:58 AM and 4:23 AM? Math A: 25 Task: How many minutes are there between 7:37 PM and 1:04 AM? Math A: 327 Task: What is 270 minutes before 8:43 AM? Math A: 4:13 AM Task: How many minutes are there between 12:44 PM and 10:31 PM? Math A: 587 Task: What is 547 minutes after 5:22 PM? Math A: 2:29 AM Task: What is 678 minutes before 3:35 AM? Math A: 4:17 PM Task: How many minutes are there between 12:13 PM and 3:08 PM? Math A: 175 Task: What is 148 minutes before 7:16 PM? Math A: 4:48 PM Task: What is 191 minutes after 4:30 PM? Math A: 7:41 PM Task: How many minutes are there between 1:06 PM and 4:07 PM? Math A: 181 Task: How many minutes are there between 11:45 AM and 7:21 PM? Math A: 456 Task: How many minutes are there between 8:14 AM and 1:59 PM? Math A: 345 Task: How many
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numbers: place value -------------------- Case: What is the units digit of 63897700? Resolution: 0 Case: What is the units digit of 28? Resolution: 8 Case: What is the millions digit of 1965647557? Resolution: 5 Case: What is the hundreds digit of 7751373? Resolution: 3 Case: What is the tens digit of 872? Resolution: 7 Case: What is the billions digit of 1073386681? Resolution: 1 Case: What is the hundreds digit of 14592? Resolution: 5 Case: What is the hundred thousands digit of 154866? Resolution: 1 Case: What is the thousands digit of 46788? Resolution: 6 Case: What is the tens digit of 2933254? Resolution: 5 Case: What is the units digit of 47752256? Resolution: 6 Case: What is the hundred millions digit of 1554443341? Resolution: 5 Case: What is the ten thousands digit of 62507? Resolution: 6 Case: What is the millions digit of 5555217? Resolution: 5 Case: What is the thousands digit of 512972? Resolution: 2 Case: What is the units digit of 1777? Resolution: 7 Case: What is the tens digit of 102943856? Resolution: 5 Case: What is the tens digit of 200793? Resolution: 9 Case: What is the millions digit of 1647901442? Resolution: 7 Case: What is the ten thousands digit of 10597? Resolution: 1 Case: What is the units digit of 3589? Resolution: 9 Case: What is the millions digit of 53280185? Resolution: 3 Case: What is the hundreds digit of 40856? Resolution: 8 Case: What is the tens digit of 3864343322? Resolution: 2 Case: What is the hundreds digit of 3275740? Resolution: 7 Case: What is the millions digit of 651210600? Resolution: 1 Case: What is the tens digit of 7890? Resolution: 9 Case: What is the hundreds digit of 305830? Resolution: 8 Case: What is the hundreds digit of 179067? Resolution: 0 Case: What is the ten millions digit of 1679469133? Resolution: 7 Case: What is the ten millions digit of 15000040? Resolution: 1 Case: What is the ten millions digit of 163616560? Resolution: 6 Case: What is the hundred thousands digit of 2009122? Resolution: 0 Case:
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numbers: place value -------------------- Qn: What is the hundred thousands digit of 192137? Ans: 1 Qn: What is the units digit of 40979? Ans: 9 Qn: What is the units digit of 354? Ans: 4 Qn: What is the units digit of 81339? Ans: 9 Qn: What is the units digit of 4161? Ans: 1 Qn: What is the tens digit of 257931? Ans: 3 Qn: What is the units digit of 8577? Ans: 7 Qn: What is the tens digit of 1797? Ans: 9 Qn: What is the billions digit of 1824185246? Ans: 1 Qn: What is the ten millions digit of 246229035? Ans: 4 Qn: What is the thousands digit of 109514? Ans: 9 Qn: What is the ten millions digit of 366275603? Ans: 6 Qn: What is the hundreds digit of 59037933? Ans: 9 Qn: What is the ten thousands digit of 36021? Ans: 3 Qn: What is the units digit of 209226183? Ans: 3 Qn: What is the units digit of 301351200? Ans: 0 Qn: What is the units digit of 2962? Ans: 2 Qn: What is the units digit of 1254629? Ans: 9 Qn: What is the hundreds digit of 73291? Ans: 2 Qn: What is the hundreds digit of 56407? Ans: 4 Qn: What is the tens digit of 122637? Ans: 3 Qn: What is the tens digit of 29546? Ans: 4 Qn: What is the ten millions digit of 10999209? Ans: 1 Qn: What is the hundreds digit of 356332225? Ans: 2 Qn: What is the units digit of 7035745? Ans: 5 Qn: What is the ten thousands digit of 794116? Ans: 9 Qn: What is the hundred thousands digit of 174788? Ans: 1 Qn: What is the units digit of 4361? Ans: 1 Qn: What is the units digit of 2330184630? Ans: 0 Qn: What is the hundreds digit of 667? Ans: 6 Qn: What is the ten millions digit of 17707136? Ans: 1 Qn: What is the tens digit of 495366? Ans: 6 Qn: What is the units digit of 1845506? Ans: 6 Qn: What is the thousands digit of 73367? Ans: 3 Qn: What is the units digit of 47? Ans: 7 Qn: What is the thousands digit of 45934512? Ans: 4 Qn: What is the thousands digit of 6904021? Ans: 4 Qn: What is the thousands digit of 2559? Ans: 2 Qn: What is the ten thousands digit of 14083945? Ans: 8 Qn: What is the tens digit of 5297856? Ans: 5 Q
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numbers: lcm ------------ Example: Calculate the least common multiple of 348 and 16. Workthrough: 1392 Example: What is the common denominator of -169/69552 and 45/53662? Workthrough: 266592816 Example: Calculate the smallest common multiple of 5526 and 564171. Workthrough: 1039202982 Example: What is the smallest common multiple of 1288 and 10? Workthrough: 6440 Example: Find the common denominator of -12/3096155 and -19/808505. Workthrough: 4956944155 Example: What is the least common multiple of 156649104 and 39162276? Workthrough: 156649104 Example: Find the common denominator of -46/8937 and -73/35748. Workthrough: 35748 Example: What is the lowest common multiple of 2031128 and 594? Workthrough: 54840456 Example: Calculate the common denominator of -56/891 and 13/199665. Workthrough: 2196315 Example: What is the smallest common multiple of 1 and 595? Workthrough: 595 Example: Find the common denominator of 13/1646 and -137/72. Workthrough: 59256 Example: What is the smallest common multiple of 108 and 144? Workthrough: 432 Example: Calculate the least common multiple of 48 and 5. Workthrough: 240 Example: Calculate the common denominator of 95/504 and 33/8. Workthrough: 504 Example: What is the smallest common multiple of 11087970 and 210? Workthrough: 77615790 Example: Calculate the common denominator of -31/57534 and 111/5273950. Workthrough: 15821850 Example: What is the smallest common multiple of 3110076 and 23486436? Workthrough: 681106644 Example: Calculate the lowest common multiple of 7 and 1611570. Workthrough: 11280990 Example: What is the common denominator of 19/238 and 47/2584? Workthrough: 18088 Example: Calculate the common denominator of 2/979 and 15/237352. Workthrough: 232367608 Example: Calculate the common denominator of 8/5517 and -11/20. Workthrough: 110340 Example: Calculate the least common multiple of 5630 and 11260. Workthrough: 11260 Example: Calculate the common denominator of 113/28 and -133/7452. Workthrough: 52164 Example: Calc
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probability: swr p level set ---------------------------- Prompt: Three letters picked without replacement from {u: 7, d: 3, s: 1, r: 5, y: 2}. What is prob of picking 2 r and 1 y? Derivation: 5/204 Prompt: Four letters picked without replacement from {z: 4, w: 2, e: 6}. What is prob of picking 4 e? Derivation: 1/33 Prompt: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {f: 2, a: 3}. Derivation: 3/5 Prompt: Two letters picked without replacement from bqqpebbqbxbqee. What is prob of picking 1 e and 1 p? Derivation: 3/91 Prompt: What is prob of picking 1 v and 1 j when two letters picked without replacement from {q: 5, j: 2, y: 1, r: 1, v: 3}? Derivation: 1/11 Prompt: Two letters picked without replacement from {w: 4, s: 1, p: 1, v: 2, l: 1}. What is prob of picking 2 v? Derivation: 1/36 Prompt: Two letters picked without replacement from {c: 5, o: 7}. Give prob of picking 2 o. Derivation: 7/22 Prompt: Two letters picked without replacement from wllllwwllwlwllllllll. Give prob of picking 2 l. Derivation: 21/38 Prompt: Calculate prob of picking 2 e when two letters picked without replacement from {n: 4, e: 2, j: 2}. Derivation: 1/28 Prompt: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from grrnpnbnnggnbnr. Derivation: 3/35 Prompt: What is prob of picking 1 j and 1 s when two letters picked without replacement from {r: 2, w: 1, s: 1, y: 1, j: 2}? Derivation: 2/21 Prompt: Two letters picked without replacement from {l: 8, q: 5, j: 1, u: 2, t: 3, h: 1}. Give prob of picking 1 h and 1 l. Derivation: 4/95 Prompt: Four letters picked without replacement from {c: 17, f: 3}. Give prob of picking 3 f and 1 c. Derivation: 1/285 Prompt: Four letters picked without replacement from llkklllolklollkoxol. What is prob of picking 1 l, 1 o, and 2 k? Derivation: 20/323 Prompt: Calculate prob of picking 3 i when three letters picked without replacement from {i: 5, o: 5}. Derivation: 1/12 Prompt: Calculate prob o
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measurement: conversion ----------------------- Test item: What is fifteen quarters of a centimeter in micrometers? Response: 37500 Test item: What is 4/21 of a week in hours? Response: 32 Test item: How many minutes are there in 2/9 of a week? Response: 2240 Test item: How many tonnes are there in 3086.179ug? Response: 0.000000003086179 Test item: How many hours are there in three eighths of a week? Response: 63 Test item: How many months are there in 11/2 of a year? Response: 66 Test item: How many days are there in 22.5564075 seconds? Response: 0.00026106953125 Test item: What is 9.536153m in centimeters? Response: 953.6153 Test item: How many kilograms are there in fourty-nine fifths of a tonne? Response: 9800 Test item: What is 981.3914 micrograms in milligrams? Response: 0.9813914 Test item: What is 1881911.7 months in centuries? Response: 1568.25975 Test item: How many centimeters are there in one quarter of a meter? Response: 25 Test item: How many years are there in 8.818909 millennia? Response: 8818.909 Test item: What is 282.8817 months in years? Response: 23.573475 Test item: How many millilitres are there in 27/5 of a litre? Response: 5400 Test item: What is 353.8066 weeks in milliseconds? Response: 213982231680 Test item: Convert 1.51543ug to tonnes. Response: 0.00000000000151543 Test item: What is 3/40 of a meter in millimeters? Response: 75 Test item: How many seconds are there in one tenth of a day? Response: 8640 Test item: Convert 25.088172 months to millennia. Response: 0.002090681 Test item: What is 488512.9 years in decades? Response: 48851.29 Test item: What is 635967.2 micrograms in kilograms? Response: 0.0006359672 Test item: How many months are there in 5/24 of a millennium? Response: 2500 Test item: What is 17/2 of a litre in millilitres? Response: 8500 Test item: What is 274.5321m in millimeters? Response: 274532.1 Test item: How many nanometers are there in 33/5 of a micrometer? Response: 6600 Test item: What is 17135.99 millimeters in m
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arithmetic: nearest integer root -------------------------------- Problem #: What is 230543410 to the power of 1/3, to the nearest integer? Therefore: 613 Problem #: What is the ninth root of 601906 to the nearest integer? Therefore: 4 Problem #: What is 746 to the power of 1/2, to the nearest integer? Therefore: 27 Problem #: What is the tenth root of 79810 to the nearest integer? Therefore: 3 Problem #: What is the square root of 1047053 to the nearest integer? Therefore: 1023 Problem #: What is 21451064 to the power of 1/3, to the nearest integer? Therefore: 278 Problem #: What is 10299 to the power of 1/2, to the nearest integer? Therefore: 101 Problem #: What is the square root of 195480606 to the nearest integer? Therefore: 13981 Problem #: What is the cube root of 2715 to the nearest integer? Therefore: 14 Problem #: What is 376 to the power of 1/3, to the nearest integer? Therefore: 7 Problem #: What is the third root of 2490 to the nearest integer? Therefore: 14 Problem #: What is 706603 to the power of 1/5, to the nearest integer? Therefore: 15 Problem #: What is 268456528 to the power of 1/3, to the nearest integer? Therefore: 645 Problem #: What is the seventh root of 2169946 to the nearest integer? Therefore: 8 Problem #: What is the fourth root of 44498 to the nearest integer? Therefore: 15 Problem #: What is 596 to the power of 1/2, to the nearest integer? Therefore: 24 Problem #: What is the cube root of 1124 to the nearest integer? Therefore: 10 Problem #: What is the eighth root of 1177457 to the nearest integer? Therefore: 6 Problem #: What is 783935 to the power of 1/5, to the nearest integer? Therefore: 15 Problem #: What is the eighth root of 215816833 to the nearest integer? Therefore: 11 Problem #: What is 7754196 to the power of 1/2, to the nearest integer? Therefore: 2785 Problem #: What is the tenth root of 2027155166 to the nearest integer? Therefore: 9 Problem #: What is 7790 to the power of 1/2, to the nearest integer? Therefore: 88 Pro
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numbers: is factor ------------------ Exercise: Is 59 a factor of 1239? Finding: True Exercise: Is 27846 a multiple of 74? Finding: False Exercise: Is 131 a factor of 390970? Finding: False Exercise: Is 3123094 a multiple of 878? Finding: False Exercise: Is 105781182 a multiple of 165? Finding: False Exercise: Does 27 divide 1701? Finding: True Exercise: Is 8260 a multiple of 14? Finding: True Exercise: Is 518 a factor of 718984? Finding: True Exercise: Does 4559 divide 166426295? Finding: True Exercise: Is 58 a factor of 1420? Finding: False Exercise: Is 24 a factor of 10465427? Finding: False Exercise: Does 503 divide 134987989? Finding: False Exercise: Does 101 divide 1010? Finding: True Exercise: Is 7573 a multiple of 6? Finding: False Exercise: Is 3 a factor of 3925385? Finding: False Exercise: Is 53327503 a multiple of 7? Finding: False Exercise: Is 3784 a multiple of 44? Finding: True Exercise: Does 3 divide 1396? Finding: False Exercise: Is 441 a factor of 102312? Finding: True Exercise: Is 332614 a multiple of 184? Finding: False Exercise: Is 383 a multiple of 8? Finding: False Exercise: Is 89451 a multiple of 3? Finding: True Exercise: Is 42923 a multiple of 111? Finding: False Exercise: Does 145 divide 60692505? Finding: True Exercise: Is 5 a factor of 1460? Finding: True Exercise: Is 815948 a multiple of 14? Finding: True Exercise: Is 17 a factor of 12434? Finding: False Exercise: Does 13 divide 178412? Finding: True Exercise: Is 26 a factor of 93470? Finding: True Exercise: Does 47 divide 183726196? Finding: True Exercise: Is 11 a factor of 227153? Finding: False Exercise: Is 936 a multiple of 39? Finding: True Exercise: Does 1298 divide 19772434? Finding: True Exercise: Is 46 a factor of 27049794? Finding: True Exercise: Is 1361 a multiple of 8? Finding: False Exercise: Is 58 a factor of 16254152? Finding: True Exercise: Is 49 a factor of 69482? Finding: True Exercise: Is 59730 a multiple of 30? Finding: True Exercise: Does 16 divide 8798? Finding: Fal
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measurement: conversion ----------------------- Problem Statement: What is eleven halves of a litre in millilitres? Reply: 5500 Problem Statement: Convert 47.4356ml to litres. Reply: 0.0474356 Problem Statement: How many grams are there in 3/8 of a kilogram? Reply: 375 Problem Statement: What is three tenths of a gram in milligrams? Reply: 300 Problem Statement: How many micrograms are there in nineteen quarters of a milligram? Reply: 4750 Problem Statement: How many millimeters are there in 6626.894 kilometers? Reply: 6626894000 Problem Statement: Convert 8384.967 millilitres to litres. Reply: 8.384967 Problem Statement: How many kilometers are there in 132143.2mm? Reply: 0.1321432 Problem Statement: What is seven eighths of a microsecond in nanoseconds? Reply: 875 Problem Statement: How many weeks are there in 4182.84972 microseconds? Reply: 0.0000000069160875 Problem Statement: What is 77909.98 centuries in years? Reply: 7790998 Problem Statement: How many millilitres are there in 4584.003 litres? Reply: 4584003 Problem Statement: How many years are there in fourty-six fifths of a millennium? Reply: 9200 Problem Statement: How many days are there in 17/7 of a week? Reply: 17 Problem Statement: What is 6.627239 weeks in nanoseconds? Reply: 4008154147200000 Problem Statement: What is 57/5 of a century in months? Reply: 13680 Problem Statement: What is 209.061ml in litres? Reply: 0.209061 Problem Statement: Convert 624.03768 minutes to days. Reply: 0.4333595 Problem Statement: What is 7.382954 centuries in decades? Reply: 73.82954 Problem Statement: What is 604715.6 years in months? Reply: 7256587.2 Problem Statement: How many years are there in 0.6277086 decades? Reply: 6.277086 Problem Statement: What is one fifth of a centimeter in micrometers? Reply: 2000 Problem Statement: What is 3/40 of a kilometer in centimeters? Reply: 7500 Problem Statement: What is 7/2 of a litre in millilitres? Reply: 3500 Problem Statement: What is 15750.963 months in millennia? Reply:
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numbers: place value -------------------- Qn: What is the millions digit of 647018165? Answer: 7 Qn: What is the hundreds digit of 73503324? Answer: 3 Qn: What is the tens digit of 68824958? Answer: 5 Qn: What is the units digit of 29870329? Answer: 9 Qn: What is the units digit of 15193688? Answer: 8 Qn: What is the hundreds digit of 4101492? Answer: 4 Qn: What is the hundred thousands digit of 3155389? Answer: 1 Qn: What is the hundred thousands digit of 72337298? Answer: 3 Qn: What is the units digit of 44533025? Answer: 5 Qn: What is the hundred thousands digit of 1117165? Answer: 1 Qn: What is the thousands digit of 173153828? Answer: 3 Qn: What is the thousands digit of 35908? Answer: 5 Qn: What is the tens digit of 4734978? Answer: 7 Qn: What is the millions digit of 4874859195? Answer: 4 Qn: What is the hundreds digit of 558889775? Answer: 7 Qn: What is the hundreds digit of 5131? Answer: 1 Qn: What is the units digit of 8? Answer: 8 Qn: What is the hundred thousands digit of 772980? Answer: 7 Qn: What is the thousands digit of 24750773? Answer: 0 Qn: What is the ten thousands digit of 1614287? Answer: 1 Qn: What is the hundred millions digit of 204350548? Answer: 2 Qn: What is the ten millions digit of 898861424? Answer: 9 Qn: What is the millions digit of 158186841? Answer: 8 Qn: What is the units digit of 1857? Answer: 7 Qn: What is the millions digit of 56664802? Answer: 6 Qn: What is the hundreds digit of 841031? Answer: 0 Qn: What is the tens digit of 29406? Answer: 0 Qn: What is the ten millions digit of 41967245? Answer: 4 Qn: What is the thousands digit of 1586454? Answer: 6 Qn: What is the hundreds digit of 521? Answer: 5 Qn: What is the tens digit of 60465621? Answer: 2 Qn: What is the thousands digit of 3024? Answer: 3 Qn: What is the units digit of 19547219? Answer: 9 Qn: What is the thousands digit of 1332494? Answer: 2 Qn: What is the hundred millions digit of 684527189? Answer: 6 Qn: What is the hundreds digit of 6657? Answer: 6 Qn: What is t
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probability: swr p sequence --------------------------- Issue: What is prob of sequence jr when two letters picked without replacement from {e: 1, j: 1, d: 2, u: 2, r: 1}? Solution: 1/42 Issue: Calculate prob of sequence toto when four letters picked without replacement from uouuiloottkikui. Solution: 1/2730 Issue: Calculate prob of sequence fafa when four letters picked without replacement from {a: 2, f: 8}. Solution: 1/45 Issue: Two letters picked without replacement from {m: 4, o: 7, i: 2}. What is prob of sequence mm? Solution: 1/13 Issue: What is prob of sequence pfp when three letters picked without replacement from {m: 1, f: 1, p: 3}? Solution: 1/10 Issue: Calculate prob of sequence yn when two letters picked without replacement from yxnnnnnyy. Solution: 5/24 Issue: What is prob of sequence qn when two letters picked without replacement from {y: 1, h: 1, n: 1, q: 2, w: 1, k: 1}? Solution: 1/21 Issue: Two letters picked without replacement from nnqqqqlnq. What is prob of sequence qq? Solution: 5/18 Issue: Three letters picked without replacement from tttttttttttttttttzz. Give prob of sequence ztt. Solution: 16/171 Issue: Two letters picked without replacement from gkengktkgkne. Give prob of sequence ee. Solution: 1/66 Issue: Calculate prob of sequence uuf when three letters picked without replacement from {f: 4, u: 3}. Solution: 4/35 Issue: Three letters picked without replacement from {c: 13, b: 6}. Give prob of sequence ccb. Solution: 52/323 Issue: What is prob of sequence yi when two letters picked without replacement from {i: 8, r: 5, y: 4}? Solution: 2/17 Issue: Calculate prob of sequence xf when two letters picked without replacement from {r: 1, l: 4, b: 1, f: 1, x: 1}. Solution: 1/56 Issue: Calculate prob of sequence yyy when three letters picked without replacement from ywywyy. Solution: 1/5 Issue: Four letters picked without replacement from {a: 1, d: 2, i: 1, o: 2, q: 1}. Give prob of sequence odad. Solution: 1/210 Issue: Two letters picked without r
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numbers: is factor ------------------ Part A: Is 44 a factor of 660? Calculation: True Part A: Is 45 a factor of 1175910873? Calculation: False Part A: Is 1846396564 a multiple of 142? Calculation: False Part A: Does 97 divide 19691? Calculation: True Part A: Is 69 a factor of 3054? Calculation: False Part A: Is 46 a multiple of 14? Calculation: False Part A: Is 10159 a multiple of 13? Calculation: False Part A: Is 605 a factor of 765812? Calculation: False Part A: Does 28 divide 117572? Calculation: True Part A: Does 44 divide 90728? Calculation: True Part A: Is 794 a factor of 405734? Calculation: True Part A: Is 32 a factor of 1472? Calculation: True Part A: Does 2234 divide 791903852? Calculation: True Part A: Is 634 a factor of 1728284? Calculation: True Part A: Is 111 a factor of 330? Calculation: False Part A: Does 7 divide 1730507? Calculation: False Part A: Does 24 divide 49625912? Calculation: False Part A: Does 6 divide 13127528? Calculation: False Part A: Is 44160 a multiple of 20? Calculation: True Part A: Is 65324070 a multiple of 1890? Calculation: True Part A: Is 5 a factor of 3284216? Calculation: False Part A: Is 667360 a multiple of 15? Calculation: False Part A: Is 131 a factor of 13929530? Calculation: False Part A: Is 3405764046 a multiple of 18? Calculation: False Part A: Does 5 divide 114340345? Calculation: True Part A: Is 32354766 a multiple of 474? Calculation: True Part A: Does 1080 divide 80944920? Calculation: True Part A: Is 50 a factor of 3042013? Calculation: False Part A: Is 126653286 a multiple of 10? Calculation: False Part A: Is 34295 a multiple of 85? Calculation: False Part A: Does 18 divide 20137851? Calculation: False Part A: Is 35 a factor of 1540? Calculation: True Part A: Is 24 a factor of 6120? Calculation: True Part A: Is 55943 a multiple of 48? Calculation: False Part A: Does 43 divide 1630? Calculation: False Part A: Is 11 a factor of 1969? Calculation: True Part A: Is 14 a factor of 3911474? Calculation: True Part A:
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