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numbers: is prime ----------------- Step: Is 290821 a prime number? Answer: True Step: Is 1240370403 a prime number? Answer: False Step: Is 7634623 composite? Answer: False Step: Is 311788891 prime? Answer: False Step: Is 232901813 a prime number? Answer: False Step: Is 40598530891 a composite number? Answer: True Step: Is 43298257 prime? Answer: False Step: Is 17449093 composite? Answer: False Step: Is 25682 composite? Answer: True Step: Is 9407831647 composite? Answer: False Step: Is 287103 a prime number? Answer: False Step: Is 23644132231 a prime number? Answer: True Step: Is 217837 a composite number? Answer: True Step: Is 78118523 a prime number? Answer: False Step: Is 144203 prime? Answer: True Step: Is 111569921 a composite number? Answer: False Step: Is 213 a prime number? Answer: False Step: Is 1016637187 a composite number? Answer: False Step: Is 33133 a prime number? Answer: False Step: Is 1744531 prime? Answer: True Step: Is 1334681 a composite number? Answer: False Step: Is 808937 a composite number? Answer: False Step: Is 83158 prime? Answer: False Step: Is 908507 a prime number? Answer: False Step: Is 2075151758 composite? Answer: True Step: Is 4721879 composite? Answer: False Step: Is 1699667 a composite number? Answer: False Step: Is 28904729531 a composite number? Answer: False Step: Is 679073 composite? Answer: True Step: Is 15889394923 prime? Answer: False Step: Is 37427 a prime number? Answer: False Step: Is 44670666613 prime? Answer: True Step: Is 41286229 a composite number? Answer: False Step: Is 39367 a composite number? Answer: False Step: Is 42492331477 composite? Answer: False Step: Is 128098547 a prime number? Answer: False Step: Is 671282431 a composite number? Answer: False Step: Is 7706704177 prime? Answer: True Step: Is 12234809 prime? Answer: False Step: Is 136393 prime? Answer: True Step: Is 628093 a composite number? Answer: False Step: Is 9647201 a composite number? Answer: True Step: Is 35214365 prime? Answer: False Step: Is 94
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measurement: time ----------------- Exercise: What is 107 minutes before 1:24 PM? Answer: 11:37 AM Exercise: How many minutes are there between 7:44 AM and 8:24 AM? Answer: 40 Exercise: How many minutes are there between 7:49 PM and 1:30 AM? Answer: 341 Exercise: What is 708 minutes before 10:32 PM? Answer: 10:44 AM Exercise: How many minutes are there between 2:20 PM and 8:13 PM? Answer: 353 Exercise: What is 194 minutes after 8:39 AM? Answer: 11:53 AM Exercise: What is 611 minutes after 5:06 AM? Answer: 3:17 PM Exercise: How many minutes are there between 12:17 PM and 12:58 PM? Answer: 41 Exercise: How many minutes are there between 12:31 PM and 2:13 PM? Answer: 102 Exercise: What is 359 minutes before 10:07 AM? Answer: 4:08 AM Exercise: How many minutes are there between 8:11 PM and 10:18 PM? Answer: 127 Exercise: What is 682 minutes before 1:45 PM? Answer: 2:23 AM Exercise: How many minutes are there between 7:00 AM and 2:25 PM? Answer: 445 Exercise: What is 372 minutes after 12:14 PM? Answer: 6:26 PM Exercise: How many minutes are there between 12:43 PM and 12:26 AM? Answer: 703 Exercise: How many minutes are there between 9:15 PM and 3:22 AM? Answer: 367 Exercise: How many minutes are there between 12:06 PM and 2:41 PM? Answer: 155 Exercise: How many minutes are there between 1:48 PM and 3:58 PM? Answer: 130 Exercise: What is 236 minutes before 5:07 PM? Answer: 1:11 PM Exercise: What is 52 minutes after 7:35 PM? Answer: 8:27 PM Exercise: How many minutes are there between 10:06 AM and 6:33 PM? Answer: 507 Exercise: How many minutes are there between 3:28 AM and 9:59 AM? Answer: 391 Exercise: How many minutes are there between 8:17 AM and 9:54 AM? Answer: 97 Exercise: What is 573 minutes after 4:32 PM? Answer: 2:05 AM Exercise: How many minutes are there between 4:42 PM and 7:01 PM? Answer: 139 Exercise: How many minutes are there between 8:24 AM and 5:52 PM? Answer: 568 Exercise: What is 547 minutes before 11:59 AM? Answer: 2:52 AM Exercise: What is 624 minute
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numbers: is factor ------------------ Statement: Is 347 a factor of 16573? Response: False Statement: Is 357309735 a multiple of 15? Response: True Statement: Is 27 even? Response: False Statement: Is 312 a factor of 164245? Response: False Statement: Is 5 a factor of 2310? Response: True Statement: Is 16 a factor of 32240? Response: True Statement: Is 72 a factor of 1914464? Response: False Statement: Is 4204 a multiple of 2? Response: True Statement: Is 2445832744 a multiple of 6? Response: False Statement: Is 79 a factor of 1027000? Response: True Statement: Is 16 a factor of 99648? Response: True Statement: Does 14 divide 45? Response: False Statement: Is 12321 a multiple of 111? Response: True Statement: Is 7 a factor of 672? Response: True Statement: Is 2 a factor of 13809? Response: False Statement: Is 2 a factor of 3558? Response: True Statement: Is 103915972 a multiple of 674? Response: True Statement: Does 1020 divide 506939759? Response: False Statement: Does 15 divide 2555? Response: False Statement: Does 563 divide 66830910? Response: False Statement: Is 2 a factor of 4914348? Response: True Statement: Does 52 divide 5696236? Response: True Statement: Is 35 a factor of 8565750? Response: False Statement: Is 56739592 a multiple of 13? Response: True Statement: Is 2587 a factor of 2034311541? Response: False Statement: Does 44 divide 76874424? Response: True Statement: Is 7 a factor of 60816508? Response: False Statement: Is 1198205676 a multiple of 12? Response: True Statement: Is 770 a factor of 18975052? Response: False Statement: Is 31104 a multiple of 8? Response: True Statement: Does 7 divide 6829? Response: False Statement: Is 837 a multiple of 31? Response: True Statement: Does 71 divide 5864? Response: False Statement: Is 14 a factor of 1858? Response: False Statement: Is 22 a factor of 886997254? Response: True Statement: Is 3965 a multiple of 13? Response: True Statement: Is 1606786218 a multiple of 1006? Response: True Statement: Does 15 divid
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arithmetic: nearest integer root -------------------------------- Problem: What is the cube root of 36520 to the nearest integer? Eval: 33 Problem: What is the fifth root of 1228272922 to the nearest integer? Eval: 66 Problem: What is the third root of 2993261142 to the nearest integer? Eval: 1441 Problem: What is the fourth root of 76746 to the nearest integer? Eval: 17 Problem: What is 929465 to the power of 1/2, to the nearest integer? Eval: 964 Problem: What is the square root of 120502505 to the nearest integer? Eval: 10977 Problem: What is the third root of 843158 to the nearest integer? Eval: 94 Problem: What is 104230 to the power of 1/10, to the nearest integer? Eval: 3 Problem: What is 699 to the power of 1/8, to the nearest integer? Eval: 2 Problem: What is the third root of 3156732829 to the nearest integer? Eval: 1467 Problem: What is 962010342 to the power of 1/9, to the nearest integer? Eval: 10 Problem: What is the square root of 46121 to the nearest integer? Eval: 215 Problem: What is 31117 to the power of 1/10, to the nearest integer? Eval: 3 Problem: What is the third root of 16614599 to the nearest integer? Eval: 255 Problem: What is the cube root of 4933 to the nearest integer? Eval: 17 Problem: What is the third root of 179124342 to the nearest integer? Eval: 564 Problem: What is the eighth root of 4905495 to the nearest integer? Eval: 7 Problem: What is the sixth root of 601100 to the nearest integer? Eval: 9 Problem: What is 11313502 to the power of 1/8, to the nearest integer? Eval: 8 Problem: What is the cube root of 2129 to the nearest integer? Eval: 13 Problem: What is the fourth root of 986079 to the nearest integer? Eval: 32 Problem: What is the sixth root of 1769 to the nearest integer? Eval: 3 Problem: What is the fourth root of 192350389 to the nearest integer? Eval: 118 Problem: What is the third root of 2537399 to the nearest integer? Eval: 136 Problem: What is the square root of 11943 to the nearest integer? Eval: 109 Problem: Wha
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numbers: is prime ----------------- What if: Is 3739381 prime? Interpretation: True What if: Is 1358420027 a prime number? Interpretation: True What if: Is 361217193 composite? Interpretation: True What if: Is 112929874 composite? Interpretation: True What if: Is 29741189 prime? Interpretation: True What if: Is 134167 a prime number? Interpretation: False What if: Is 1171715431 a prime number? Interpretation: True What if: Is 6892785709 a composite number? Interpretation: True What if: Is 8279571389 prime? Interpretation: True What if: Is 4428091 prime? Interpretation: True What if: Is 191 prime? Interpretation: True What if: Is 26596291 composite? Interpretation: False What if: Is 1440287 a composite number? Interpretation: True What if: Is 9143 a prime number? Interpretation: False What if: Is 67244491 a prime number? Interpretation: True What if: Is 314543 a composite number? Interpretation: False What if: Is 9923 a prime number? Interpretation: True What if: Is 271906697 a prime number? Interpretation: False What if: Is 7996537 a composite number? Interpretation: False What if: Is 4659979253 composite? Interpretation: True What if: Is 13087 composite? Interpretation: True What if: Is 404633 a composite number? Interpretation: True What if: Is 1552817 composite? Interpretation: True What if: Is 8763371587 a prime number? Interpretation: False What if: Is 211463797 composite? Interpretation: True What if: Is 22036847 a prime number? Interpretation: False What if: Is 429120121 composite? Interpretation: False What if: Is 7174281929 a composite number? Interpretation: True What if: Is 9750617047 prime? Interpretation: True What if: Is 10775929699 composite? Interpretation: False What if: Is 6782509 composite? Interpretation: False What if: Is 51726242627 a composite number? Interpretation: False What if: Is 3399999913 a composite number? Interpretation: False What if: Is 1209422803 prime? Interpretation: True What if: Is 828349 a prime number? Interpretation: True W
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numbers: div remainder ---------------------- Input: What is the remainder when 7306 is divided by 429? = : 13 Input: Calculate the remainder when 1115094 is divided by 590. = : 584 Input: What is the remainder when 11947 is divided by 5534? = : 879 Input: What is the remainder when 6098 is divided by 2772? = : 554 Input: What is the remainder when 116499 is divided by 382? = : 371 Input: What is the remainder when 77 is divided by 41? = : 36 Input: Calculate the remainder when 480608 is divided by 4629. = : 3821 Input: Calculate the remainder when 240 is divided by 27. = : 24 Input: What is the remainder when 729 is divided by 181? = : 5 Input: What is the remainder when 98 is divided by 66? = : 32 Input: What is the remainder when 277 is divided by 9? = : 7 Input: Calculate the remainder when 1278 is divided by 254. = : 8 Input: Calculate the remainder when 169777 is divided by 8487. = : 37 Input: Calculate the remainder when 10629 is divided by 1874. = : 1259 Input: Calculate the remainder when 1358 is divided by 57. = : 47 Input: Calculate the remainder when 62989 is divided by 248. = : 245 Input: What is the remainder when 501 is divided by 12? = : 9 Input: What is the remainder when 138 is divided by 49? = : 40 Input: Calculate the remainder when 200 is divided by 101. = : 99 Input: What is the remainder when 16721 is divided by 2087? = : 25 Input: Calculate the remainder when 623585 is divided by 8541. = : 92 Input: Calculate the remainder when 452505 is divided by 50. = : 5 Input: Calculate the remainder when 5498 is divided by 55. = : 53 Input: What is the remainder when 797 is divided by 133? = : 132 Input: What is the remainder when 554939 is divided by 29? = : 24 Input: What is the remainder when 39294 is divided by 474? = : 426 Input: Calculate the remainder when 411 is divided by 70. = : 61 Input: Calculate the remainder when 7285482 is divided by 1234. = : 1180 Input: Calculate the remainder when 11126 is divided by 3260. = : 1346 Input: What is the r
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numbers: is prime ----------------- Math Problem: Is 1517946511 a composite number? Result: False Math Problem: Is 579239 composite? Result: False Math Problem: Is 79408493 a composite number? Result: False Math Problem: Is 156941 composite? Result: False Math Problem: Is 814823 prime? Result: True Math Problem: Is 17753254 a composite number? Result: True Math Problem: Is 35412549287 a prime number? Result: True Math Problem: Is 3452027 composite? Result: True Math Problem: Is 1416934217 a composite number? Result: False Math Problem: Is 1008551 a prime number? Result: False Math Problem: Is 389057 composite? Result: False Math Problem: Is 3869738 composite? Result: True Math Problem: Is 177073669 composite? Result: False Math Problem: Is 74269751 a composite number? Result: False Math Problem: Is 35138 composite? Result: True Math Problem: Is 11637217 composite? Result: True Math Problem: Is 218100731 composite? Result: False Math Problem: Is 2020397 prime? Result: False Math Problem: Is 257039 prime? Result: False Math Problem: Is 2827 composite? Result: True Math Problem: Is 4327 composite? Result: False Math Problem: Is 12543533 a composite number? Result: True Math Problem: Is 12159639359 prime? Result: False Math Problem: Is 1644413 composite? Result: False Math Problem: Is 221849 composite? Result: False Math Problem: Is 13259 composite? Result: False Math Problem: Is 103229 composite? Result: True Math Problem: Is 2595755 a composite number? Result: True Math Problem: Is 2347637 a prime number? Result: False Math Problem: Is 76716685 prime? Result: False Math Problem: Is 17827 prime? Result: True Math Problem: Is 189201 composite? Result: True Math Problem: Is 105281593 composite? Result: True Math Problem: Is 230777387 composite? Result: False Math Problem: Is 13799 prime? Result: True Math Problem: Is 7318223777 composite? Result: False Math Problem: Is 1881263 prime? Result: True Math Problem: Is 1884157409 prime? Result: True Math Problem: Is 640037 pri
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probability: swr p level set ---------------------------- Let us solve: Four letters picked without replacement from {z: 4, u: 3, q: 5}. What is prob of picking 2 q and 2 u? Key: 2/33 Let us solve: Three letters picked without replacement from zqqqcqqqqqqqqqq. Give prob of picking 1 q, 1 c, and 1 z. Key: 1/35 Let us solve: What is prob of picking 1 e and 1 s when two letters picked without replacement from {s: 2, e: 3, f: 5}? Key: 2/15 Let us solve: Four letters picked without replacement from {q: 2, n: 5, j: 3, w: 7}. Give prob of picking 1 w and 3 n. Key: 1/34 Let us solve: Three letters picked without replacement from rllrnblbrsrsssglb. Give prob of picking 1 n, 1 b, and 1 l. Key: 3/170 Let us solve: Four letters picked without replacement from nlzeanlzy. What is prob of picking 1 z, 2 l, and 1 e? Key: 1/63 Let us solve: Two letters picked without replacement from eqneoqeqos. What is prob of picking 1 q and 1 n? Key: 1/15 Let us solve: What is prob of picking 2 l when two letters picked without replacement from {l: 4, b: 3, m: 1, o: 4, g: 2}? Key: 6/91 Let us solve: Two letters picked without replacement from nxnxxxnnnnnxxnxxnnnx. What is prob of picking 2 x? Key: 18/95 Let us solve: What is prob of picking 3 z when three letters picked without replacement from zzzz? Key: 1 Let us solve: What is prob of picking 1 p, 1 z, and 1 n when three letters picked without replacement from {d: 1, n: 3, r: 1, z: 3, p: 6}? Key: 27/182 Let us solve: What is prob of picking 2 q and 1 w when three letters picked without replacement from wyyqwwwyqwyq? Key: 3/44 Let us solve: Three letters picked without replacement from {a: 2, t: 7}. What is prob of picking 1 t and 2 a? Key: 1/12 Let us solve: Two letters picked without replacement from jeeujerujbjbxxueeje. What is prob of picking 1 x and 1 e? Key: 4/57 Let us solve: Calculate prob of picking 2 k when two letters picked without replacement from kkttbkkttt. Key: 2/15 Let us solve: What is prob of picking 4 c when four letters pick
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numbers: is prime ----------------- Given: Is 12174067 a composite number? Final Answer: True Given: Is 8069301391 composite? Final Answer: True Given: Is 14310773 a composite number? Final Answer: False Given: Is 37195128101 a composite number? Final Answer: False Given: Is 12927931 a composite number? Final Answer: False Given: Is 16162 composite? Final Answer: True Given: Is 373 a composite number? Final Answer: False Given: Is 57833092909 a composite number? Final Answer: True Given: Is 1007527 a prime number? Final Answer: True Given: Is 8743 composite? Final Answer: True Given: Is 56193 a composite number? Final Answer: True Given: Is 15439987 prime? Final Answer: False Given: Is 2654989 a prime number? Final Answer: True Given: Is 21911 a prime number? Final Answer: True Given: Is 264671 prime? Final Answer: False Given: Is 3157396103 composite? Final Answer: True Given: Is 12668258839 a prime number? Final Answer: False Given: Is 2021321 prime? Final Answer: True Given: Is 34497943 a prime number? Final Answer: True Given: Is 156536129 composite? Final Answer: True Given: Is 2828142739 composite? Final Answer: False Given: Is 302002149 a composite number? Final Answer: True Given: Is 26227999529 prime? Final Answer: True Given: Is 2108011 a composite number? Final Answer: True Given: Is 668362471 a composite number? Final Answer: True Given: Is 145177 a prime number? Final Answer: True Given: Is 320209 a prime number? Final Answer: True Given: Is 274801 a prime number? Final Answer: False Given: Is 22889 prime? Final Answer: False Given: Is 98526971 prime? Final Answer: True Given: Is 241341 prime? Final Answer: False Given: Is 28789 prime? Final Answer: True Given: Is 1263991 composite? Final Answer: True Given: Is 67898881 a composite number? Final Answer: True Given: Is 1527266549 a prime number? Final Answer: True Given: Is 35616375901 a composite number? Final Answer: True Given: Is 956379623 a prime number? Final Answer: False Given: Is 8561 a composit
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numbers: gcd ------------ Request: What is the greatest common divisor of 288 and 5034? Calculation: 6 Request: What is the highest common factor of 39 and 2327? Calculation: 13 Request: What is the highest common divisor of 695 and 669841? Calculation: 139 Request: What is the highest common divisor of 208 and 11600? Calculation: 16 Request: What is the greatest common factor of 136 and 32? Calculation: 8 Request: Calculate the highest common factor of 238 and 2954. Calculation: 14 Request: What is the highest common divisor of 97857 and 524? Calculation: 131 Request: What is the highest common divisor of 15403510 and 1616? Calculation: 202 Request: Calculate the highest common factor of 92 and 356. Calculation: 4 Request: Calculate the greatest common factor of 40 and 2330. Calculation: 10 Request: Calculate the greatest common factor of 216 and 2511. Calculation: 27 Request: What is the highest common factor of 136 and 425? Calculation: 17 Request: Calculate the greatest common divisor of 110218448 and 16. Calculation: 16 Request: Calculate the highest common divisor of 493168 and 13. Calculation: 13 Request: Calculate the greatest common factor of 1606 and 198. Calculation: 22 Request: What is the highest common divisor of 14000 and 31640? Calculation: 280 Request: What is the greatest common factor of 14050869 and 21? Calculation: 21 Request: What is the greatest common factor of 10025476 and 4700? Calculation: 188 Request: What is the highest common factor of 21630 and 178290? Calculation: 210 Request: Calculate the greatest common divisor of 5522 and 286. Calculation: 22 Request: Calculate the greatest common factor of 6 and 51438. Calculation: 6 Request: Calculate the highest common divisor of 1835 and 40. Calculation: 5 Request: What is the greatest common factor of 1650 and 10? Calculation: 10 Request: Calculate the highest common divisor of 1026 and 157491. Calculation: 513 Request: Calculate the greatest common factor of 106688 and 192. Calculation: 64 R
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probability: swr p level set ---------------------------- Scenario: Two letters picked without replacement from {k: 5, b: 2}. Give prob of picking 2 k. A: 10/21 Scenario: Calculate prob of picking 2 o and 1 a when three letters picked without replacement from aoaoahaahaaooaaa. A: 3/28 Scenario: Calculate prob of picking 1 w and 3 k when four letters picked without replacement from wtkttttktkttwk. A: 8/1001 Scenario: What is prob of picking 4 c when four letters picked without replacement from ciiiiciicc? A: 1/210 Scenario: Two letters picked without replacement from {g: 1, r: 2, x: 1, v: 1, d: 2, q: 1}. What is prob of picking 1 r and 1 q? A: 1/14 Scenario: Four letters picked without replacement from {v: 4}. Give prob of picking 4 v. A: 1 Scenario: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from wgmdmry. A: 1/21 Scenario: What is prob of picking 1 h and 1 t when two letters picked without replacement from {n: 3, c: 1, f: 3, h: 5, w: 2, t: 1}? A: 1/21 Scenario: What is prob of picking 3 g and 1 k when four letters picked without replacement from ugkgguugukugkgkg? A: 1/13 Scenario: Calculate prob of picking 1 a and 3 b when four letters picked without replacement from {k: 1, a: 1, v: 1, b: 3, j: 1}. A: 1/35 Scenario: Four letters picked without replacement from qaqsqssjayaasajq. What is prob of picking 4 q? A: 1/1820 Scenario: Three letters picked without replacement from {p: 1, k: 16, c: 3}. Give prob of picking 1 p and 2 c. A: 1/380 Scenario: What is prob of picking 2 j and 2 o when four letters picked without replacement from gjokolkjgojjgggjkgko? A: 4/323 Scenario: Calculate prob of picking 1 e, 2 w, and 1 b when four letters picked without replacement from wewbb. A: 2/5 Scenario: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from nucccuucccnpp. A: 2/13 Scenario: What is prob of picking 1 x, 1 n, and 2 f when four letters picked without replacement from fxxnxfufxx? A: 1/14 Scenario: Calcul
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probability: swr p level set ---------------------------- Q/A: Calculate prob of picking 1 m and 2 g when three letters picked without replacement from {r: 1, g: 2, q: 1, m: 2}. Result: 1/10 Q/A: Two letters picked without replacement from {g: 5, a: 3, w: 3}. What is prob of picking 2 a? Result: 3/55 Q/A: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {k: 3, a: 1, r: 5}. Result: 1/12 Q/A: Two letters picked without replacement from {m: 6, j: 2}. Give prob of picking 2 m. Result: 15/28 Q/A: What is prob of picking 3 f and 1 x when four letters picked without replacement from fxxfrzff? Result: 4/35 Q/A: What is prob of picking 1 n and 1 a when two letters picked without replacement from {n: 1, a: 1, g: 2}? Result: 1/6 Q/A: Two letters picked without replacement from shks. Give prob of picking 1 k and 1 h. Result: 1/6 Q/A: Two letters picked without replacement from {i: 7, g: 3}. What is prob of picking 2 g? Result: 1/15 Q/A: Three letters picked without replacement from ljuujgjtjttjjlg. What is prob of picking 3 j? Result: 4/91 Q/A: Calculate prob of picking 1 f, 1 t, and 2 i when four letters picked without replacement from {i: 3, t: 4, l: 2, f: 2}. Result: 4/55 Q/A: Four letters picked without replacement from {m: 8, z: 2, y: 4}. Give prob of picking 4 y. Result: 1/1001 Q/A: Three letters picked without replacement from {z: 3, o: 1, i: 11}. Give prob of picking 1 i, 1 o, and 1 z. Result: 33/455 Q/A: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from nngnnjrnrnnrnnsrnrr. Result: 2/57 Q/A: Two letters picked without replacement from {r: 2, s: 10}. Give prob of picking 2 r. Result: 1/66 Q/A: What is prob of picking 2 l when two letters picked without replacement from qkllqqklgkgllqqkk? Result: 5/68 Q/A: Two letters picked without replacement from lqpyuuqlqqqquuqluy. Give prob of picking 1 p and 1 l. Result: 1/51 Q/A: Calculate prob of picking 1 d, 1 n, and 1 s when three letters picked without
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numbers: is factor ------------------ Problem #: Does 64 divide 232374784? Interpretation: True Problem #: Is 99 a multiple of 2? Interpretation: False Problem #: Is 548388 a multiple of 36? Interpretation: True Problem #: Is 12938517 a multiple of 3? Interpretation: True Problem #: Does 18 divide 280212588? Interpretation: True Problem #: Is 2652 a multiple of 12? Interpretation: True Problem #: Does 4 divide 473? Interpretation: False Problem #: Does 88 divide 1010? Interpretation: False Problem #: Is 17 a factor of 63410? Interpretation: True Problem #: Is 43269 a multiple of 14? Interpretation: False Problem #: Is 41475815 a multiple of 10? Interpretation: False Problem #: Is 5 a factor of 11716? Interpretation: False Problem #: Is 42 a factor of 62178606? Interpretation: True Problem #: Is 10 a factor of 1180036? Interpretation: False Problem #: Is 14 a factor of 189266? Interpretation: True Problem #: Is 11317700 a multiple of 2? Interpretation: True Problem #: Is 19 a factor of 509371? Interpretation: True Problem #: Is 1362550 a multiple of 9? Interpretation: False Problem #: Is 7967697 a multiple of 578? Interpretation: False Problem #: Is 655 a factor of 46371380? Interpretation: True Problem #: Is 1739658 a multiple of 94? Interpretation: True Problem #: Does 61 divide 427? Interpretation: True Problem #: Is 22844 a multiple of 7? Interpretation: False Problem #: Does 9 divide 4059? Interpretation: True Problem #: Is 15 a factor of 18388? Interpretation: False Problem #: Is 54246 a multiple of 34? Interpretation: False Problem #: Is 196 a factor of 7078813? Interpretation: False Problem #: Is 26506 a multiple of 6? Interpretation: False Problem #: Is 2 a factor of 20730990? Interpretation: True Problem #: Is 11 a factor of 1089? Interpretation: True Problem #: Is 39 a factor of 12870? Interpretation: True Problem #: Does 3 divide 305712? Interpretation: True Problem #: Is 21 a factor of 114? Interpretation: False Problem #: Is 41 a multiple of 3? Interpre
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numbers: place value -------------------- Qn: What is the tens digit of 1028? Eval: 2 Qn: What is the ten thousands digit of 43775141? Eval: 7 Qn: What is the hundred thousands digit of 1019639? Eval: 0 Qn: What is the thousands digit of 40490? Eval: 0 Qn: What is the ten thousands digit of 107905027? Eval: 0 Qn: What is the thousands digit of 347135? Eval: 7 Qn: What is the tens digit of 53091? Eval: 9 Qn: What is the ten thousands digit of 1199044? Eval: 9 Qn: What is the ten thousands digit of 499754928? Eval: 5 Qn: What is the millions digit of 3629110? Eval: 3 Qn: What is the units digit of 2820? Eval: 0 Qn: What is the billions digit of 1571340226? Eval: 1 Qn: What is the units digit of 11340? Eval: 0 Qn: What is the thousands digit of 1350? Eval: 1 Qn: What is the units digit of 967? Eval: 7 Qn: What is the hundred thousands digit of 322002203? Eval: 0 Qn: What is the units digit of 15728? Eval: 8 Qn: What is the millions digit of 1608395? Eval: 1 Qn: What is the millions digit of 1800782289? Eval: 0 Qn: What is the thousands digit of 8545? Eval: 8 Qn: What is the thousands digit of 647977087? Eval: 7 Qn: What is the billions digit of 3434926692? Eval: 3 Qn: What is the ten thousands digit of 702453? Eval: 0 Qn: What is the thousands digit of 265761784? Eval: 1 Qn: What is the ten thousands digit of 57573314? Eval: 7 Qn: What is the thousands digit of 249671? Eval: 9 Qn: What is the tens digit of 1035? Eval: 3 Qn: What is the tens digit of 9676? Eval: 7 Qn: What is the ten thousands digit of 422823? Eval: 2 Qn: What is the units digit of 8808? Eval: 8 Qn: What is the units digit of 6983371? Eval: 1 Qn: What is the tens digit of 3714684? Eval: 8 Qn: What is the hundreds digit of 1698889? Eval: 8 Qn: What is the ten millions digit of 4043572700? Eval: 4 Qn: What is the hundred thousands digit of 1382813? Eval: 3 Qn: What is the tens digit of 168400? Eval: 0 Qn: What is the hundred thousands digit of 3002544? Eval: 0 Qn: What is the units digit of 1945245? Eval:
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probability: swr p level set ---------------------------- Challenge: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {n: 2, q: 1, z: 1, l: 1}. →: 1/5 Challenge: Two letters picked without replacement from {q: 11, j: 2, p: 1}. What is prob of picking 2 q? →: 55/91 Challenge: Four letters picked without replacement from rynyxryrnlrrr. Give prob of picking 2 r and 2 y. →: 9/143 Challenge: What is prob of picking 3 a and 1 p when four letters picked without replacement from pppppppaapaappapppp? →: 35/969 Challenge: Two letters picked without replacement from {g: 2, h: 5, m: 3, j: 5}. Give prob of picking 2 g. →: 1/105 Challenge: What is prob of picking 2 p and 1 g when three letters picked without replacement from pgbhbp? →: 1/20 Challenge: Two letters picked without replacement from {j: 1, u: 3, x: 4, f: 1, a: 5}. What is prob of picking 1 f and 1 x? →: 4/91 Challenge: Three letters picked without replacement from aazsazaaaezaaeezsa. What is prob of picking 1 e, 1 a, and 1 s? →: 9/136 Challenge: Three letters picked without replacement from zzzzlzlpkbzk. Give prob of picking 1 l, 1 k, and 1 p. →: 1/55 Challenge: Four letters picked without replacement from {m: 2, s: 5, v: 2, e: 4, j: 4}. Give prob of picking 1 m, 2 j, and 1 e. →: 12/595 Challenge: Calculate prob of picking 3 j when three letters picked without replacement from ddjjj. →: 1/10 Challenge: Three letters picked without replacement from gpbypkbpp. What is prob of picking 1 y, 1 b, and 1 g? →: 1/42 Challenge: What is prob of picking 1 q, 2 i, and 1 g when four letters picked without replacement from qkgqggqqggqggigigq? →: 3/170 Challenge: Four letters picked without replacement from {v: 5, e: 1, u: 1, n: 2}. What is prob of picking 3 v and 1 e? →: 5/63 Challenge: Four letters picked without replacement from llclylllccclhlalhly. Give prob of picking 2 y, 1 l, and 1 a. →: 5/1938 Challenge: Four letters picked without replacement from jjjjjjjhjjjshj. What is prob of picking
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measurement: time ----------------- Math Problem: How many minutes are there between 8:10 AM and 9:06 AM? Clarification: 56 Math Problem: What is 173 minutes after 10:19 PM? Clarification: 1:12 AM Math Problem: How many minutes are there between 4:00 AM and 10:48 AM? Clarification: 408 Math Problem: How many minutes are there between 10:32 PM and 4:57 AM? Clarification: 385 Math Problem: What is 570 minutes before 3:31 PM? Clarification: 6:01 AM Math Problem: What is 54 minutes after 2:28 PM? Clarification: 3:22 PM Math Problem: What is 111 minutes after 12:10 PM? Clarification: 2:01 PM Math Problem: How many minutes are there between 9:47 PM and 11:54 PM? Clarification: 127 Math Problem: What is 676 minutes after 1:25 PM? Clarification: 12:41 AM Math Problem: What is 50 minutes before 2:15 AM? Clarification: 1:25 AM Math Problem: What is 439 minutes after 7:29 PM? Clarification: 2:48 AM Math Problem: How many minutes are there between 10:50 AM and 3:10 PM? Clarification: 260 Math Problem: What is 689 minutes after 10:29 PM? Clarification: 9:58 AM Math Problem: What is 33 minutes before 4:24 AM? Clarification: 3:51 AM Math Problem: How many minutes are there between 2:36 PM and 1:10 AM? Clarification: 634 Math Problem: How many minutes are there between 6:14 AM and 6:58 AM? Clarification: 44 Math Problem: What is 101 minutes after 9:07 AM? Clarification: 10:48 AM Math Problem: What is 159 minutes before 5:12 PM? Clarification: 2:33 PM Math Problem: How many minutes are there between 11:22 AM and 11:17 PM? Clarification: 715 Math Problem: How many minutes are there between 6:51 PM and 5:54 AM? Clarification: 663 Math Problem: How many minutes are there between 6:04 AM and 3:22 PM? Clarification: 558 Math Problem: What is 406 minutes after 11:25 AM? Clarification: 6:11 PM Math Problem: What is 628 minutes before 6:53 PM? Clarification: 8:25 AM Math Problem: What is 560 minutes after 5:03 AM? Clarification: 2:23 PM Math Problem: What is 265 minutes before 3:34 PM? Clar
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numbers: place value -------------------- Given: What is the ten thousands digit of 1123002? Result: 2 Given: What is the hundreds digit of 9944? Result: 9 Given: What is the hundred thousands digit of 645037? Result: 6 Given: What is the tens digit of 9744289? Result: 8 Given: What is the millions digit of 9226171? Result: 9 Given: What is the thousands digit of 7790? Result: 7 Given: What is the tens digit of 16043? Result: 4 Given: What is the thousands digit of 113086568? Result: 6 Given: What is the units digit of 1440? Result: 0 Given: What is the ten thousands digit of 964769? Result: 6 Given: What is the hundred thousands digit of 1393459750? Result: 4 Given: What is the units digit of 8027? Result: 7 Given: What is the millions digit of 37604117? Result: 7 Given: What is the millions digit of 156330269? Result: 6 Given: What is the hundred thousands digit of 2132306? Result: 1 Given: What is the tens digit of 370232? Result: 3 Given: What is the thousands digit of 30476? Result: 0 Given: What is the tens digit of 23780? Result: 8 Given: What is the hundreds digit of 167641? Result: 6 Given: What is the tens digit of 8585? Result: 8 Given: What is the thousands digit of 207053680? Result: 3 Given: What is the millions digit of 480423860? Result: 0 Given: What is the hundreds digit of 957602253? Result: 2 Given: What is the units digit of 613? Result: 3 Given: What is the millions digit of 273500007? Result: 3 Given: What is the ten millions digit of 104835253? Result: 0 Given: What is the millions digit of 15955652? Result: 5 Given: What is the hundreds digit of 3990572? Result: 5 Given: What is the units digit of 2627? Result: 7 Given: What is the units digit of 1683? Result: 3 Given: What is the thousands digit of 71859? Result: 1 Given: What is the tens digit of 1088102? Result: 0 Given: What is the hundred thousands digit of 474195568? Result: 1 Given: What is the millions digit of 1084464397? Result: 4 Given: What is the units digit of 2586? Result: 6 G
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numbers: div remainder ---------------------- Qn: Calculate the remainder when 305 is divided by 105. Solution: 95 Qn: Calculate the remainder when 68 is divided by 31. Solution: 6 Qn: What is the remainder when 194 is divided by 52? Solution: 38 Qn: Calculate the remainder when 741 is divided by 284. Solution: 173 Qn: Calculate the remainder when 110 is divided by 38. Solution: 34 Qn: Calculate the remainder when 48761 is divided by 27. Solution: 26 Qn: What is the remainder when 198 is divided by 97? Solution: 4 Qn: Calculate the remainder when 16094 is divided by 327. Solution: 71 Qn: What is the remainder when 157 is divided by 90? Solution: 67 Qn: What is the remainder when 8923 is divided by 49? Solution: 5 Qn: What is the remainder when 795 is divided by 38? Solution: 35 Qn: Calculate the remainder when 79150617 is divided by 38. Solution: 37 Qn: Calculate the remainder when 82198 is divided by 15. Solution: 13 Qn: What is the remainder when 998 is divided by 336? Solution: 326 Qn: What is the remainder when 16805 is divided by 16515? Solution: 290 Qn: What is the remainder when 412779530 is divided by 29? Solution: 26 Qn: Calculate the remainder when 15402 is divided by 5133. Solution: 3 Qn: What is the remainder when 1181 is divided by 71? Solution: 45 Qn: Calculate the remainder when 145 is divided by 31. Solution: 21 Qn: Calculate the remainder when 51622 is divided by 794. Solution: 12 Qn: What is the remainder when 8426 is divided by 312? Solution: 2 Qn: Calculate the remainder when 2730 is divided by 787. Solution: 369 Qn: What is the remainder when 382 is divided by 194? Solution: 188 Qn: Calculate the remainder when 946889 is divided by 277. Solution: 103 Qn: What is the remainder when 530 is divided by 132? Solution: 2 Qn: Calculate the remainder when 91 is divided by 46. Solution: 45 Qn: What is the remainder when 12691 is divided by 23? Solution: 18 Qn: Calculate the remainder when 11560 is divided by 25. Solution: 10 Qn: Calculate the remainder w
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numbers: is prime ----------------- Let us solve: Is 559478263 a composite number? A: False Let us solve: Is 18294841 prime? A: True Let us solve: Is 911621687 a composite number? A: False Let us solve: Is 219384083 prime? A: True Let us solve: Is 8714247 a composite number? A: True Let us solve: Is 59303 a composite number? A: True Let us solve: Is 16561 composite? A: False Let us solve: Is 14810491 composite? A: True Let us solve: Is 5957719093 a composite number? A: True Let us solve: Is 36555103 a composite number? A: True Let us solve: Is 123701 composite? A: False Let us solve: Is 200430155 a composite number? A: True Let us solve: Is 2626003 composite? A: False Let us solve: Is 62861 a composite number? A: False Let us solve: Is 10788859 composite? A: False Let us solve: Is 1847483 a prime number? A: False Let us solve: Is 3859 a composite number? A: True Let us solve: Is 28940967511 a prime number? A: True Let us solve: Is 46110613 a prime number? A: False Let us solve: Is 17137781467 a prime number? A: True Let us solve: Is 4274966 composite? A: True Let us solve: Is 42977 prime? A: False Let us solve: Is 66836037371 a composite number? A: False Let us solve: Is 63149 prime? A: True Let us solve: Is 37703833 a prime number? A: True Let us solve: Is 3097047077 composite? A: False Let us solve: Is 1529653441 composite? A: False Let us solve: Is 22697027 a prime number? A: True Let us solve: Is 254524613 a composite number? A: True Let us solve: Is 312839 a prime number? A: True Let us solve: Is 21208043 prime? A: False Let us solve: Is 59051 a prime number? A: True Let us solve: Is 7609376507 composite? A: True Let us solve: Is 2096846573 composite? A: True Let us solve: Is 1034556337 composite? A: True Let us solve: Is 356299 prime? A: True Let us solve: Is 33173369 prime? A: False Let us solve: Is 2238053 composite? A: False Let us solve: Is 1337966117 a composite number? A: False Let us solve: Is 21561041 a composite number? A: False Let us solve: Is 10395
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numbers: gcd ------------ Qn: What is the highest common divisor of 1063168 and 286464? Reply: 256 Qn: Calculate the highest common divisor of 60 and 2353220. Reply: 20 Qn: What is the highest common divisor of 2408 and 8283604? Reply: 28 Qn: What is the greatest common divisor of 7072 and 35581? Reply: 221 Qn: What is the highest common divisor of 89953 and 1219? Reply: 23 Qn: What is the greatest common factor of 484 and 12124? Reply: 4 Qn: Calculate the highest common factor of 135 and 513. Reply: 27 Qn: What is the greatest common divisor of 2405745 and 4632? Reply: 579 Qn: What is the highest common factor of 493928 and 176707? Reply: 2129 Qn: What is the highest common divisor of 5812296 and 44457? Reply: 609 Qn: Calculate the greatest common divisor of 171 and 2193. Reply: 3 Qn: Calculate the highest common divisor of 3546 and 72. Reply: 18 Qn: Calculate the greatest common divisor of 175 and 125. Reply: 25 Qn: What is the highest common divisor of 11106 and 18? Reply: 18 Qn: Calculate the highest common divisor of 270 and 302310. Reply: 90 Qn: What is the highest common divisor of 20 and 80? Reply: 20 Qn: What is the highest common factor of 22 and 1485? Reply: 11 Qn: Calculate the highest common divisor of 234 and 54. Reply: 18 Qn: What is the highest common factor of 2544 and 48? Reply: 48 Qn: Calculate the highest common divisor of 303472 and 236184. Reply: 104 Qn: Calculate the highest common divisor of 2662 and 25795. Reply: 11 Qn: What is the highest common divisor of 8673 and 294? Reply: 147 Qn: Calculate the greatest common factor of 27001499 and 245. Reply: 49 Qn: Calculate the highest common divisor of 31037918 and 642. Reply: 214 Qn: Calculate the greatest common divisor of 45363 and 3. Reply: 3 Qn: Calculate the greatest common divisor of 1209 and 441688. Reply: 403 Qn: Calculate the highest common divisor of 40 and 20. Reply: 20 Qn: What is the highest common divisor of 63 and 84? Reply: 21 Qn: What is the greatest common factor of 235 and 5? Re
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numbers: lcm ------------ Subquestion: Calculate the common denominator of -79/2 and -91/510. Calculation: 510 Subquestion: What is the common denominator of -11/1339 and 56/2575? Calculation: 33475 Subquestion: Calculate the lowest common multiple of 265 and 100. Calculation: 5300 Subquestion: Find the common denominator of -27/2041 and 27/76349. Calculation: 11986793 Subquestion: What is the least common multiple of 110 and 253? Calculation: 2530 Subquestion: Calculate the smallest common multiple of 11 and 778473. Calculation: 8563203 Subquestion: What is the least common multiple of 29844 and 8? Calculation: 59688 Subquestion: What is the least common multiple of 289328 and 520? Calculation: 1446640 Subquestion: Calculate the smallest common multiple of 147435 and 168. Calculation: 8256360 Subquestion: What is the least common multiple of 20 and 310? Calculation: 620 Subquestion: What is the common denominator of -91/1255815 and -163/10620? Calculation: 5023260 Subquestion: Calculate the least common multiple of 518 and 6. Calculation: 1554 Subquestion: What is the smallest common multiple of 20 and 151917800? Calculation: 151917800 Subquestion: Calculate the lowest common multiple of 428383 and 23117518. Calculation: 2612279534 Subquestion: What is the common denominator of -37/224 and 109/280? Calculation: 1120 Subquestion: Calculate the lowest common multiple of 7 and 1354. Calculation: 9478 Subquestion: What is the common denominator of 121/636396 and -16/7911? Calculation: 5727564 Subquestion: What is the least common multiple of 37956 and 108? Calculation: 341604 Subquestion: What is the least common multiple of 67 and 603? Calculation: 603 Subquestion: Calculate the least common multiple of 18276 and 2829864. Calculation: 4309882872 Subquestion: Calculate the common denominator of 2/97 and -46/21. Calculation: 2037 Subquestion: What is the common denominator of -79/11830 and 143/1890? Calculation: 319410 Subquestion: What is the common denominator of -75/
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probability: swr p level set ---------------------------- Item: Three letters picked without replacement from mmmmhh. Give prob of picking 1 m and 2 h. Explanation: 1/5 Item: Calculate prob of picking 4 a when four letters picked without replacement from {a: 15, j: 4}. Explanation: 455/1292 Item: Two letters picked without replacement from {r: 4, o: 3, d: 1}. What is prob of picking 1 o and 1 r? Explanation: 3/7 Item: Two letters picked without replacement from ssjssuosuooso. Give prob of picking 2 u. Explanation: 1/78 Item: Three letters picked without replacement from {t: 5, q: 11}. What is prob of picking 2 t and 1 q? Explanation: 11/56 Item: Four letters picked without replacement from {w: 14, i: 5}. Give prob of picking 4 i. Explanation: 5/3876 Item: Calculate prob of picking 2 f when two letters picked without replacement from {t: 11, f: 9}. Explanation: 18/95 Item: What is prob of picking 1 p and 1 j when two letters picked without replacement from jfjzpp? Explanation: 4/15 Item: What is prob of picking 3 h when three letters picked without replacement from gggrgegegeegghgggegg? Explanation: 0 Item: Three letters picked without replacement from xnfnkkwnxnnxu. Give prob of picking 1 u, 1 n, and 1 w. Explanation: 5/286 Item: Four letters picked without replacement from {d: 1, a: 2, e: 1, x: 1, z: 1, l: 1}. What is prob of picking 1 e, 1 l, 1 a, and 1 z? Explanation: 2/35 Item: Four letters picked without replacement from tvwwvvtvwwwwwvw. Give prob of picking 4 v. Explanation: 1/273 Item: Four letters picked without replacement from gjggggggjgg. Give prob of picking 2 j and 2 g. Explanation: 6/55 Item: Three letters picked without replacement from ppfpfpzfwp. Give prob of picking 1 f and 2 p. Explanation: 1/4 Item: Four letters picked without replacement from kuzlckkzkklkukzcuzku. Give prob of picking 2 l, 1 u, and 1 k. Explanation: 32/4845 Item: Three letters picked without replacement from {o: 5, q: 2}. Give prob of picking 3 o. Explanation: 2/7 Item: Two lett
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probability: swr p sequence --------------------------- Prompt: Two letters picked without replacement from xcxxxc. Give prob of sequence xc. Response: 4/15 Prompt: What is prob of sequence vx when two letters picked without replacement from {o: 1, c: 2, x: 1, j: 2, v: 1}? Response: 1/42 Prompt: Calculate prob of sequence xoii when four letters picked without replacement from oxoixiiiiii. Response: 7/330 Prompt: Three letters picked without replacement from {z: 7, j: 1, d: 2}. What is prob of sequence dzd? Response: 7/360 Prompt: Four letters picked without replacement from {t: 2, p: 3, q: 7, x: 5}. Give prob of sequence pqtp. Response: 1/680 Prompt: What is prob of sequence hcrj when four letters picked without replacement from {h: 2, j: 1, r: 13, y: 2, c: 1, m: 1}? Response: 13/58140 Prompt: What is prob of sequence ou when two letters picked without replacement from {f: 7, x: 1, p: 2, k: 1, u: 3, o: 3}? Response: 9/272 Prompt: Two letters picked without replacement from pooooooooooopooooo. What is prob of sequence po? Response: 16/153 Prompt: Two letters picked without replacement from uui. Give prob of sequence uu. Response: 1/3 Prompt: Two letters picked without replacement from {p: 1, y: 1, e: 1}. Give prob of sequence py. Response: 1/6 Prompt: Three letters picked without replacement from xxxrhhrrrrrxxrxxxr. Give prob of sequence xhh. Response: 1/306 Prompt: Three letters picked without replacement from {d: 3, c: 5}. What is prob of sequence ccd? Response: 5/28 Prompt: Calculate prob of sequence ppp when three letters picked without replacement from pppppppr. Response: 5/8 Prompt: What is prob of sequence lql when three letters picked without replacement from {l: 5, q: 2}? Response: 4/21 Prompt: Four letters picked without replacement from {h: 3, p: 1, w: 1, t: 2, a: 1, q: 4}. What is prob of sequence wtqa? Response: 1/1485 Prompt: Two letters picked without replacement from kds. What is prob of sequence ds? Response: 1/6 Prompt: What is prob of sequence ii w
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numbers: is prime ----------------- Conundrum: Is 32897 composite? Therefore: True Conundrum: Is 2974789 a composite number? Therefore: False Conundrum: Is 356526221 composite? Therefore: False Conundrum: Is 9087079069 a prime number? Therefore: True Conundrum: Is 10447 a prime number? Therefore: False Conundrum: Is 189899597 composite? Therefore: False Conundrum: Is 120225239 composite? Therefore: True Conundrum: Is 5032417 a composite number? Therefore: True Conundrum: Is 963211 a composite number? Therefore: False Conundrum: Is 501341 prime? Therefore: True Conundrum: Is 26163013 a prime number? Therefore: False Conundrum: Is 8024189 composite? Therefore: False Conundrum: Is 863021 a composite number? Therefore: True Conundrum: Is 999975143 composite? Therefore: True Conundrum: Is 189109 composite? Therefore: True Conundrum: Is 19847 a prime number? Therefore: False Conundrum: Is 7818917 prime? Therefore: False Conundrum: Is 4569 prime? Therefore: False Conundrum: Is 20660839 a composite number? Therefore: False Conundrum: Is 48161 a prime number? Therefore: False Conundrum: Is 7977587 a prime number? Therefore: False Conundrum: Is 470903 composite? Therefore: False Conundrum: Is 2572451711 composite? Therefore: False Conundrum: Is 88283 a prime number? Therefore: False Conundrum: Is 26349709531 a prime number? Therefore: True Conundrum: Is 144354709 a composite number? Therefore: False Conundrum: Is 17799737 composite? Therefore: False Conundrum: Is 307604467 a composite number? Therefore: False Conundrum: Is 1196666129 prime? Therefore: True Conundrum: Is 216043331 prime? Therefore: False Conundrum: Is 19128861247 composite? Therefore: False Conundrum: Is 1026799 a composite number? Therefore: False Conundrum: Is 416774 prime? Therefore: False Conundrum: Is 68333676409 a composite number? Therefore: True Conundrum: Is 276293 prime? Therefore: True Conundrum: Is 46619 prime? Therefore: True Conundrum: Is 1229056189 a composite number? Therefore: False Conundrum:
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measurement: time ----------------- Subject: What is 11 minutes before 12:05 PM? Ans: 11:54 AM Subject: How many minutes are there between 7:51 PM and 7:53 PM? Ans: 2 Subject: What is 366 minutes before 4:52 PM? Ans: 10:46 AM Subject: What is 558 minutes after 3:22 PM? Ans: 12:40 AM Subject: How many minutes are there between 8:23 PM and 9:16 PM? Ans: 53 Subject: How many minutes are there between 1:58 AM and 2:49 AM? Ans: 51 Subject: What is 323 minutes after 1:04 PM? Ans: 6:27 PM Subject: How many minutes are there between 4:22 AM and 10:07 AM? Ans: 345 Subject: How many minutes are there between 12:13 AM and 12:12 PM? Ans: 719 Subject: What is 677 minutes before 12:03 PM? Ans: 12:46 AM Subject: How many minutes are there between 10:59 AM and 3:57 PM? Ans: 298 Subject: What is 67 minutes after 11:17 PM? Ans: 12:24 AM Subject: How many minutes are there between 8:34 PM and 6:30 AM? Ans: 596 Subject: What is 89 minutes after 3:01 AM? Ans: 4:30 AM Subject: How many minutes are there between 11:38 AM and 5:05 PM? Ans: 327 Subject: What is 432 minutes after 10:39 PM? Ans: 5:51 AM Subject: What is 564 minutes before 5:06 AM? Ans: 7:42 PM Subject: What is 102 minutes before 2:34 AM? Ans: 12:52 AM Subject: What is 631 minutes before 6:41 PM? Ans: 8:10 AM Subject: How many minutes are there between 5:41 PM and 6:43 PM? Ans: 62 Subject: What is 92 minutes before 2:43 PM? Ans: 1:11 PM Subject: What is 265 minutes before 7:27 AM? Ans: 3:02 AM Subject: How many minutes are there between 7:28 PM and 7:17 AM? Ans: 709 Subject: What is 152 minutes after 11:45 AM? Ans: 2:17 PM Subject: What is 260 minutes before 1:11 AM? Ans: 8:51 PM Subject: What is 514 minutes after 3:28 PM? Ans: 12:02 AM Subject: How many minutes are there between 6:45 PM and 9:32 PM? Ans: 167 Subject: What is 305 minutes before 1:30 PM? Ans: 8:25 AM Subject: How many minutes are there between 11:59 AM and 3:30 PM? Ans: 211 Subject: What is 582 minutes before 10:35 AM? Ans: 12:53 AM Subject: What is 699 minutes
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numbers: gcd ------------ Challenge: What is the highest common divisor of 19124454 and 1067798? Solution: 6394 Challenge: Calculate the greatest common factor of 66625384 and 1528. Solution: 1528 Challenge: What is the greatest common factor of 12337514 and 55811? Solution: 3283 Challenge: What is the greatest common divisor of 317 and 2027849? Solution: 317 Challenge: Calculate the highest common factor of 39243809 and 1573. Solution: 121 Challenge: Calculate the greatest common divisor of 4033 and 296. Solution: 37 Challenge: What is the greatest common divisor of 117308863 and 309? Solution: 103 Challenge: Calculate the highest common factor of 369 and 1640. Solution: 41 Challenge: Calculate the greatest common divisor of 228 and 4161. Solution: 57 Challenge: What is the highest common divisor of 3195 and 27? Solution: 9 Challenge: What is the greatest common factor of 3140 and 1000? Solution: 20 Challenge: What is the highest common factor of 33 and 42999? Solution: 33 Challenge: What is the highest common factor of 28 and 378? Solution: 14 Challenge: What is the greatest common divisor of 2135976 and 2928? Solution: 1464 Challenge: Calculate the highest common divisor of 29 and 376217. Solution: 29 Challenge: Calculate the greatest common factor of 72 and 152. Solution: 8 Challenge: What is the greatest common divisor of 557760 and 782607? Solution: 1743 Challenge: Calculate the greatest common divisor of 1263302 and 17867. Solution: 1051 Challenge: Calculate the greatest common divisor of 7456778 and 2023. Solution: 2023 Challenge: Calculate the highest common factor of 2717 and 67678. Solution: 247 Challenge: Calculate the highest common divisor of 15453 and 1196766. Solution: 153 Challenge: Calculate the highest common factor of 29174 and 58. Solution: 58 Challenge: What is the greatest common divisor of 66 and 13134? Solution: 66 Challenge: What is the highest common divisor of 5373 and 99819? Solution: 27 Challenge: Calculate the greatest common factor of
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numbers: is factor ------------------ Question: Is 458 a multiple of 3? Calculation: False Question: Is 243457 a multiple of 17? Calculation: True Question: Is 11 a factor of 449394? Calculation: True Question: Is 429 a factor of 1948004487? Calculation: True Question: Is 100 a factor of 2867? Calculation: False Question: Is 3 a factor of 9065175? Calculation: True Question: Is 344 a factor of 182320? Calculation: True Question: Does 24 divide 5775? Calculation: False Question: Is 260340 a multiple of 60? Calculation: True Question: Is 7115544 a multiple of 8? Calculation: True Question: Is 7 a factor of 532? Calculation: True Question: Is 9 a factor of 28166? Calculation: False Question: Is 36 a factor of 1512? Calculation: True Question: Is 6261398 a multiple of 143? Calculation: True Question: Is 4293731 a multiple of 28? Calculation: False Question: Does 40 divide 280? Calculation: True Question: Is 43 a factor of 1014349703? Calculation: False Question: Is 10 a factor of 2796430? Calculation: True Question: Is 5281340919 a multiple of 1549? Calculation: False Question: Is 95 a factor of 558980? Calculation: True Question: Does 498 divide 2234302? Calculation: False Question: Is 5437 a factor of 1124638013? Calculation: True Question: Is 140 a factor of 1207960? Calculation: False Question: Is 744003680 a multiple of 160? Calculation: True Question: Does 4115 divide 689990855? Calculation: True Question: Is 26878 a multiple of 149? Calculation: False Question: Is 763236 a multiple of 222? Calculation: True Question: Is 11403919 a multiple of 237? Calculation: False Question: Does 4 divide 1945? Calculation: False Question: Does 16 divide 1821? Calculation: False Question: Does 3 divide 421? Calculation: False Question: Does 13 divide 2049? Calculation: False Question: Is 87 a factor of 2262? Calculation: True Question: Is 646224102 a multiple of 52? Calculation: False Question: Does 261 divide 855993609? Calculation: True Question: Is 1148 a multiple of 24? Calc
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probability: swr p level set ---------------------------- Qn: What is prob of picking 1 e and 2 h when three letters picked without replacement from {l: 4, e: 3, h: 4}? Solution: 6/55 Qn: Two letters picked without replacement from awrwwwdwaa. Give prob of picking 1 w and 1 a. Solution: 1/3 Qn: Three letters picked without replacement from {n: 2, z: 4, e: 2, t: 1, p: 2, y: 3}. Give prob of picking 2 y and 1 e. Solution: 3/182 Qn: What is prob of picking 2 h and 1 x when three letters picked without replacement from {r: 2, m: 2, x: 1, s: 1, i: 1, h: 2}? Solution: 1/84 Qn: Three letters picked without replacement from qbqbqqbxqb. What is prob of picking 2 b and 1 q? Solution: 1/4 Qn: Calculate prob of picking 1 n, 1 h, and 1 b when three letters picked without replacement from {n: 1, h: 2, b: 2}. Solution: 2/5 Qn: Four letters picked without replacement from {n: 5, r: 9}. What is prob of picking 1 n and 3 r? Solution: 60/143 Qn: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from xbxxxxjxqxxxbxbbxxq. Solution: 8/171 Qn: What is prob of picking 2 p when two letters picked without replacement from wpwwwwppwwpwpwwwwwww? Solution: 1/19 Qn: Two letters picked without replacement from {x: 5}. Give prob of picking 2 x. Solution: 1 Qn: Three letters picked without replacement from ggkgkkbkkg. Give prob of picking 2 g and 1 b. Solution: 1/20 Qn: Four letters picked without replacement from qeeeeeeqeeee. What is prob of picking 2 e and 2 q? Solution: 1/11 Qn: Three letters picked without replacement from {s: 2, a: 5, y: 9, f: 1, m: 1}. Give prob of picking 1 s and 2 y. Solution: 3/34 Qn: Two letters picked without replacement from kzzkhckfkkzkkkckk. Give prob of picking 1 h and 1 f. Solution: 1/136 Qn: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, y: 2}. Solution: 1/6 Qn: Four letters picked without replacement from vvvvavbboavvvava. Give prob of picking 1 o, 2 a, and 1 v. Solution: 27/910 Qn: Calculate
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probability: swr p level set ---------------------------- Puzzle: Two letters picked without replacement from hhhh. Give prob of picking 2 h. Sol: 1 Puzzle: What is prob of picking 2 n when two letters picked without replacement from nhnhnnhn? Sol: 5/14 Puzzle: What is prob of picking 3 l and 1 d when four letters picked without replacement from {d: 2, v: 5, l: 5}? Sol: 4/99 Puzzle: Three letters picked without replacement from vcvccvc. Give prob of picking 1 c and 2 v. Sol: 12/35 Puzzle: Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, r: 2}. Sol: 3/10 Puzzle: Three letters picked without replacement from {r: 2, u: 5, t: 5, s: 1, c: 1, m: 1}. Give prob of picking 2 u and 1 r. Sol: 4/91 Puzzle: Four letters picked without replacement from {i: 2, g: 3, k: 1, q: 1, u: 2, b: 6}. Give prob of picking 2 b and 2 u. Sol: 1/91 Puzzle: Calculate prob of picking 2 a when two letters picked without replacement from {d: 7, a: 7}. Sol: 3/13 Puzzle: Calculate prob of picking 3 v when three letters picked without replacement from {x: 10, v: 9}. Sol: 28/323 Puzzle: What is prob of picking 1 s and 2 k when three letters picked without replacement from {s: 1, v: 4, m: 2, k: 3, c: 2}? Sol: 3/220 Puzzle: Calculate prob of picking 4 h when four letters picked without replacement from {h: 6, r: 4}. Sol: 1/14 Puzzle: Two letters picked without replacement from ggpgppggpgaggeg. Give prob of picking 1 g and 1 p. Sol: 12/35 Puzzle: Three letters picked without replacement from vlvvvvvvvkxlvvdvvvvl. What is prob of picking 1 x and 2 l? Sol: 1/380 Puzzle: Four letters picked without replacement from rrhhhhrhhrhhhh. Give prob of picking 4 h. Sol: 30/143 Puzzle: Two letters picked without replacement from ccuooouoocooooo. What is prob of picking 2 c? Sol: 1/35 Puzzle: What is prob of picking 1 u and 1 q when two letters picked without replacement from {r: 4, x: 1, q: 1, u: 2}? Sol: 1/14 Puzzle: Calculate prob of picking 2 f when two letters picked without rep
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numbers: is prime ----------------- Task: Is 162285547 prime? Hence: True Task: Is 145099 prime? Hence: False Task: Is 1827239 a composite number? Hence: True Task: Is 28620674 a prime number? Hence: False Task: Is 25591 a prime number? Hence: False Task: Is 2723 composite? Hence: True Task: Is 91293 a composite number? Hence: True Task: Is 95932489 prime? Hence: True Task: Is 11195755313 a prime number? Hence: False Task: Is 3030192283 a composite number? Hence: False Task: Is 1786873301 a composite number? Hence: True Task: Is 26358335797 prime? Hence: False Task: Is 441033 a composite number? Hence: True Task: Is 1495741 a composite number? Hence: True Task: Is 347953 prime? Hence: False Task: Is 238072877 composite? Hence: True Task: Is 27926 a prime number? Hence: False Task: Is 26293 composite? Hence: False Task: Is 4694089 prime? Hence: False Task: Is 105423907 a prime number? Hence: False Task: Is 25090693 a prime number? Hence: True Task: Is 13523 a composite number? Hence: False Task: Is 17707 composite? Hence: False Task: Is 252754367 a prime number? Hence: True Task: Is 1660289 a composite number? Hence: False Task: Is 4562 a composite number? Hence: True Task: Is 434197574443 a prime number? Hence: False Task: Is 882202 a composite number? Hence: True Task: Is 105863 a prime number? Hence: True Task: Is 40867 prime? Hence: True Task: Is 156923423 composite? Hence: False Task: Is 146049307 a prime number? Hence: False Task: Is 1320247 prime? Hence: True Task: Is 22934 a prime number? Hence: False Task: Is 2856687 composite? Hence: True Task: Is 3124981 composite? Hence: True Task: Is 25503 prime? Hence: False Task: Is 15659 composite? Hence: True Task: Is 15408739981 a prime number? Hence: True Task: Is 4493 a composite number? Hence: False Task: Is 4015619 composite? Hence: False Task: Is 9781 composite? Hence: False Task: Is 50833 a prime number? Hence: True Task: Is 5632051 composite? Hence: True Task: Is 22271 composite? Hence: False Task: Is 3163 pr
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probability: swr p sequence --------------------------- Math Problem: Calculate prob of sequence bbb when three letters picked without replacement from {b: 4, o: 6, p: 2}. Gives: 1/55 Math Problem: Two letters picked without replacement from ggssg. Give prob of sequence gg. Gives: 3/10 Math Problem: Two letters picked without replacement from {v: 1, q: 2, b: 2, l: 1, p: 10, g: 3}. Give prob of sequence lv. Gives: 1/342 Math Problem: What is prob of sequence eez when three letters picked without replacement from {z: 4, e: 3}? Gives: 4/35 Math Problem: What is prob of sequence gww when three letters picked without replacement from ggwwggxx? Gives: 1/42 Math Problem: Four letters picked without replacement from ggiiigg. Give prob of sequence gggi. Gives: 3/35 Math Problem: Calculate prob of sequence xhlb when four letters picked without replacement from {h: 1, u: 2, x: 1, l: 1, b: 2}. Gives: 1/420 Math Problem: What is prob of sequence tuul when four letters picked without replacement from ulplqtlwlwluulwqwlwt? Gives: 7/9690 Math Problem: Four letters picked without replacement from ssasssssass. What is prob of sequence sass? Gives: 7/55 Math Problem: What is prob of sequence wupu when four letters picked without replacement from {p: 6, w: 3, u: 3, b: 1}? Gives: 9/1430 Math Problem: What is prob of sequence iiyy when four letters picked without replacement from iiiiiiiiiiyiiiyiiyii? Gives: 4/285 Math Problem: Four letters picked without replacement from {r: 3, v: 13}. What is prob of sequence vrrv? Gives: 3/140 Math Problem: Calculate prob of sequence ukd when three letters picked without replacement from duk. Gives: 1/6 Math Problem: Four letters picked without replacement from {z: 4}. What is prob of sequence zzzz? Gives: 1 Math Problem: Calculate prob of sequence fhfh when four letters picked without replacement from huuhfufufhu. Gives: 1/220 Math Problem: Three letters picked without replacement from {e: 3, c: 3, r: 1}. What is prob of sequence cee? Gives: 3/35 Mat
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probability: swr p sequence --------------------------- Query: Four letters picked without replacement from {i: 2, b: 1, x: 1, e: 1}. Give prob of sequence xxii. Calculation: 0 Query: Three letters picked without replacement from {z: 2, e: 1, q: 1, r: 4, n: 1}. What is prob of sequence zrq? Calculation: 1/63 Query: Four letters picked without replacement from ccccccccccccccckcc. Give prob of sequence kccc. Calculation: 1/18 Query: Three letters picked without replacement from {p: 3, n: 12}. What is prob of sequence nnp? Calculation: 66/455 Query: Calculate prob of sequence hhkp when four letters picked without replacement from {h: 2, p: 1, k: 1}. Calculation: 1/12 Query: Two letters picked without replacement from {y: 5, o: 15}. Give prob of sequence oy. Calculation: 15/76 Query: What is prob of sequence msss when four letters picked without replacement from {s: 3, x: 1, m: 1}? Calculation: 1/20 Query: What is prob of sequence ytyt when four letters picked without replacement from {y: 2, t: 10, u: 2}? Calculation: 15/2002 Query: Calculate prob of sequence rlkr when four letters picked without replacement from krrklrkklrrlrl. Calculation: 20/1001 Query: Calculate prob of sequence bl when two letters picked without replacement from {s: 8, b: 5, h: 4, l: 1}. Calculation: 5/306 Query: Calculate prob of sequence dd when two letters picked without replacement from ddd. Calculation: 1 Query: Three letters picked without replacement from qqqqqqiqqqiqqi. Give prob of sequence qii. Calculation: 11/364 Query: Calculate prob of sequence krx when three letters picked without replacement from kkkkxkrkkkkknxkr. Calculation: 11/840 Query: Calculate prob of sequence ku when two letters picked without replacement from uuukku. Calculation: 4/15 Query: What is prob of sequence uop when three letters picked without replacement from kxkkpsxxskukkkosokpx? Calculation: 1/1710 Query: Four letters picked without replacement from {w: 9, z: 2, v: 7, a: 1}. What is prob of sequence awvw? Calcul
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measurement: conversion ----------------------- Example: What is 0.820161 nanometers in kilometers? Reply: 0.000000000000820161 Example: How many litres are there in 485338.8ml? Reply: 485.3388 Example: What is one quarter of a centimeter in micrometers? Reply: 2500 Example: How many litres are there in 3.287691 millilitres? Reply: 0.003287691 Example: How many meters are there in 46/5 of a kilometer? Reply: 9200 Example: What is 817739.5ml in litres? Reply: 817.7395 Example: How many months are there in 1/15 of a century? Reply: 80 Example: What is one twentieth of a millisecond in nanoseconds? Reply: 50000 Example: How many months are there in seven sixteenths of a millennium? Reply: 5250 Example: Convert 6.7900932s to hours. Reply: 0.001886137 Example: How many years are there in 21/2 of a century? Reply: 1050 Example: What is one quarter of a millennium in months? Reply: 3000 Example: How many millilitres are there in 42/5 of a litre? Reply: 8400 Example: How many microseconds are there in 11/2 of a millisecond? Reply: 5500 Example: How many meters are there in 62537.5km? Reply: 62537500 Example: Convert 6.425959 decades to years. Reply: 64.25959 Example: How many millilitres are there in 13/5 of a litre? Reply: 2600 Example: Convert 919847.9 milligrams to nanograms. Reply: 919847900000 Example: What is 25/2 of a gram in milligrams? Reply: 12500 Example: Convert 423.3248 years to centuries. Reply: 4.233248 Example: How many years are there in three fifths of a century? Reply: 60 Example: What is 1/5 of a millimeter in micrometers? Reply: 200 Example: How many grams are there in twenty-one quarters of a kilogram? Reply: 5250 Example: Convert 891.4207mm to nanometers. Reply: 891420700 Example: What is 31/2 of a hour in minutes? Reply: 930 Example: What is 7310.72 decades in centuries? Reply: 731.072 Example: How many months are there in eight thirds of a millennium? Reply: 32000 Example: How many grams are there in 1/4 of a kilogram? Reply: 250 Example: What is tw
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measurement: conversion ----------------------- Topic: Convert 0.4745241ug to kilograms. Explanation: 0.0000000004745241 Topic: Convert 1.198239ng to tonnes. Explanation: 0.000000000000001198239 Topic: How many minutes are there in fourty-one halves of a hour? Explanation: 1230 Topic: How many milliseconds are there in fifty-two fifths of a second? Explanation: 10400 Topic: What is 15.788619 microseconds in minutes? Explanation: 0.00000026314365 Topic: How many grams are there in 57425.47 micrograms? Explanation: 0.05742547 Topic: How many nanometers are there in 11/2 of a micrometer? Explanation: 5500 Topic: What is 11/2 of a millennium in centuries? Explanation: 55 Topic: How many millilitres are there in 77/2 of a litre? Explanation: 38500 Topic: How many months are there in 1/30 of a millennium? Explanation: 400 Topic: How many millilitres are there in 80907.12 litres? Explanation: 80907120 Topic: How many days are there in twenty-six sevenths of a week? Explanation: 26 Topic: What is twenty-one quarters of a litre in millilitres? Explanation: 5250 Topic: Convert 0.4570696 litres to millilitres. Explanation: 457.0696 Topic: How many meters are there in 71/4 of a kilometer? Explanation: 17750 Topic: What is 3/40 of a millisecond in microseconds? Explanation: 75 Topic: How many millimeters are there in three fifths of a centimeter? Explanation: 6 Topic: How many months are there in 8/3 of a century? Explanation: 3200 Topic: How many tonnes are there in 358.1299 nanograms? Explanation: 0.0000000000003581299 Topic: What is eleven halves of a centimeter in millimeters? Explanation: 55 Topic: How many litres are there in 5155.719ml? Explanation: 5.155719 Topic: What is four fifteenths of a hour in seconds? Explanation: 960 Topic: What is 7073.42 tonnes in micrograms? Explanation: 7073420000000000 Topic: Convert 551.8035 years to months. Explanation: 6621.642 Topic: Convert 56.45663 grams to micrograms. Explanation: 56456630 Topic: How many weeks are there in 3834.1485
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probability: swr p sequence --------------------------- Puzzle: Calculate prob of sequence kki when three letters picked without replacement from iiiikikkkkii. Eval: 7/66 Puzzle: Calculate prob of sequence dv when two letters picked without replacement from yryvwvkrdyrwkk. Eval: 1/91 Puzzle: Calculate prob of sequence dqdq when four letters picked without replacement from qqqddqhhrqqqqdqqqqqr. Eval: 13/1615 Puzzle: Two letters picked without replacement from xoffjixfxje. What is prob of sequence ox? Eval: 3/110 Puzzle: Calculate prob of sequence un when two letters picked without replacement from uunegegun. Eval: 1/12 Puzzle: Calculate prob of sequence ho when two letters picked without replacement from {f: 1, h: 4, o: 6}. Eval: 12/55 Puzzle: Calculate prob of sequence ynjo when four letters picked without replacement from {e: 4, y: 1, o: 2, w: 1, n: 6, j: 1}. Eval: 1/2730 Puzzle: Calculate prob of sequence waa when three letters picked without replacement from wwwwvaavvv. Eval: 1/90 Puzzle: Four letters picked without replacement from {g: 6, d: 4}. Give prob of sequence gdgg. Eval: 2/21 Puzzle: Calculate prob of sequence nnnn when four letters picked without replacement from {r: 8, j: 4, n: 4}. Eval: 1/1820 Puzzle: Two letters picked without replacement from vffmbfbfmfqqmbfv. What is prob of sequence mf? Eval: 3/40 Puzzle: Two letters picked without replacement from {z: 3, o: 5, k: 1}. What is prob of sequence zz? Eval: 1/12 Puzzle: Four letters picked without replacement from {k: 2, h: 2, t: 1, z: 2, w: 1, n: 1}. Give prob of sequence zntw. Eval: 1/1512 Puzzle: Three letters picked without replacement from qoudhheuheeehd. What is prob of sequence dhu? Eval: 2/273 Puzzle: What is prob of sequence en when two letters picked without replacement from scecneooeccuecc? Eval: 2/105 Puzzle: What is prob of sequence nznn when four letters picked without replacement from nznnnnnnnnnnnnnnnnzz? Eval: 2/19 Puzzle: Calculate prob of sequence ttd when three letters picked withou
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numbers: place value -------------------- Prompt: What is the units digit of 18651? Ans: 1 Prompt: What is the units digit of 10284? Ans: 4 Prompt: What is the millions digit of 227125332? Ans: 7 Prompt: What is the ten thousands digit of 237551616? Ans: 5 Prompt: What is the units digit of 3705445? Ans: 5 Prompt: What is the hundred thousands digit of 20621894? Ans: 6 Prompt: What is the ten thousands digit of 57995? Ans: 5 Prompt: What is the ten thousands digit of 3472833525? Ans: 3 Prompt: What is the thousands digit of 66670935? Ans: 0 Prompt: What is the units digit of 567387? Ans: 7 Prompt: What is the hundreds digit of 6555058? Ans: 0 Prompt: What is the tens digit of 451458080? Ans: 8 Prompt: What is the tens digit of 467941? Ans: 4 Prompt: What is the tens digit of 103179? Ans: 7 Prompt: What is the units digit of 82543? Ans: 3 Prompt: What is the millions digit of 111709701? Ans: 1 Prompt: What is the tens digit of 8472? Ans: 7 Prompt: What is the thousands digit of 126799? Ans: 6 Prompt: What is the units digit of 10685? Ans: 5 Prompt: What is the thousands digit of 1431? Ans: 1 Prompt: What is the thousands digit of 392297? Ans: 2 Prompt: What is the hundreds digit of 847? Ans: 8 Prompt: What is the millions digit of 2472762271? Ans: 2 Prompt: What is the thousands digit of 26345885? Ans: 5 Prompt: What is the thousands digit of 5570? Ans: 5 Prompt: What is the thousands digit of 61543? Ans: 1 Prompt: What is the hundred millions digit of 184757876? Ans: 1 Prompt: What is the units digit of 19458457? Ans: 7 Prompt: What is the units digit of 3508? Ans: 8 Prompt: What is the thousands digit of 103932309? Ans: 2 Prompt: What is the units digit of 1832443? Ans: 3 Prompt: What is the millions digit of 104229980? Ans: 4 Prompt: What is the hundred thousands digit of 24934371? Ans: 9 Prompt: What is the units digit of 120? Ans: 0 Prompt: What is the tens digit of 357891? Ans: 9 Prompt: What is the millions digit of 4116686? Ans: 4 Prompt: What is the ten mill
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numbers: gcd ------------ Math Problem: What is the greatest common divisor of 616 and 770? Eval: 154 Math Problem: Calculate the highest common divisor of 64 and 224. Eval: 32 Math Problem: Calculate the highest common divisor of 4988 and 172. Eval: 172 Math Problem: What is the greatest common factor of 12 and 273993? Eval: 3 Math Problem: What is the greatest common factor of 3 and 309? Eval: 3 Math Problem: Calculate the greatest common factor of 1410 and 2873345. Eval: 235 Math Problem: What is the greatest common divisor of 61425 and 200? Eval: 25 Math Problem: What is the highest common factor of 43 and 43? Eval: 43 Math Problem: Calculate the highest common factor of 485 and 22213. Eval: 97 Math Problem: What is the highest common divisor of 14770782 and 108? Eval: 54 Math Problem: What is the greatest common divisor of 115825 and 2723425? Eval: 1025 Math Problem: Calculate the greatest common factor of 934149 and 210383. Eval: 101 Math Problem: What is the highest common factor of 885 and 777325? Eval: 295 Math Problem: Calculate the highest common factor of 3050 and 280. Eval: 10 Math Problem: Calculate the greatest common factor of 5513 and 1332. Eval: 37 Math Problem: What is the highest common divisor of 644 and 28350? Eval: 14 Math Problem: Calculate the highest common divisor of 21027510 and 14805. Eval: 315 Math Problem: Calculate the highest common divisor of 261193 and 466. Eval: 233 Math Problem: What is the highest common divisor of 176 and 37114? Eval: 22 Math Problem: What is the greatest common divisor of 156 and 12? Eval: 12 Math Problem: Calculate the greatest common factor of 17585070 and 342. Eval: 114 Math Problem: Calculate the greatest common factor of 4148 and 102. Eval: 34 Math Problem: What is the highest common divisor of 378 and 14826? Eval: 42 Math Problem: What is the greatest common divisor of 3830 and 10? Eval: 10 Math Problem: What is the highest common divisor of 1 and 13297640? Eval: 1 Math Problem: Calculate the greatest co
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numbers: is prime ----------------- Input: Is 2922961 composite? Outcome: False Input: Is 15679 a prime number? Outcome: True Input: Is 365791 a prime number? Outcome: True Input: Is 5239139 prime? Outcome: True Input: Is 4741235347 composite? Outcome: True Input: Is 21139 prime? Outcome: True Input: Is 787513 prime? Outcome: True Input: Is 229603 a composite number? Outcome: True Input: Is 6487001 a prime number? Outcome: True Input: Is 20053 a prime number? Outcome: False Input: Is 31161467 a composite number? Outcome: False Input: Is 42631 prime? Outcome: False Input: Is 616103 composite? Outcome: False Input: Is 9005 composite? Outcome: True Input: Is 6282364659 a composite number? Outcome: True Input: Is 27517986773 a prime number? Outcome: False Input: Is 5487539 composite? Outcome: False Input: Is 170167 a prime number? Outcome: True Input: Is 12754457 composite? Outcome: False Input: Is 3424057717 a composite number? Outcome: False Input: Is 330547 prime? Outcome: False Input: Is 46707 composite? Outcome: True Input: Is 8939 composite? Outcome: True Input: Is 12154033 a composite number? Outcome: False Input: Is 523741 a composite number? Outcome: False Input: Is 11459138729 prime? Outcome: False Input: Is 64174919 a prime number? Outcome: True Input: Is 16468492283 a prime number? Outcome: False Input: Is 737029679 a prime number? Outcome: False Input: Is 10211 composite? Outcome: False Input: Is 22201 a composite number? Outcome: True Input: Is 1164572347 composite? Outcome: True Input: Is 93593 composite? Outcome: True Input: Is 115367 a composite number? Outcome: True Input: Is 1180651 a prime number? Outcome: False Input: Is 58391 a prime number? Outcome: True Input: Is 5669 a prime number? Outcome: True Input: Is 46559 a prime number? Outcome: True Input: Is 23001513811 a composite number? Outcome: True Input: Is 18649 a composite number? Outcome: True Input: Is 16697939 prime? Outcome: False Input: Is 351842602 a prime number? Outcome: False Input: Is
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numbers: gcd ------------ Let: What is the highest common factor of 16434519 and 4527? A.: 1509 Let: Calculate the highest common factor of 45878 and 2842. A.: 406 Let: Calculate the highest common divisor of 12649 and 161. A.: 7 Let: What is the highest common divisor of 72 and 27? A.: 9 Let: Calculate the highest common factor of 40126489 and 26. A.: 13 Let: Calculate the greatest common divisor of 643964519 and 341. A.: 341 Let: What is the greatest common divisor of 18162 and 22562249? A.: 1009 Let: Calculate the greatest common factor of 15758305 and 5385. A.: 1795 Let: What is the greatest common factor of 4015960 and 7020? A.: 260 Let: What is the greatest common factor of 373985 and 45? A.: 5 Let: Calculate the greatest common factor of 21 and 31073. A.: 7 Let: Calculate the highest common factor of 3424 and 32. A.: 32 Let: Calculate the highest common divisor of 98 and 147. A.: 49 Let: What is the greatest common factor of 420 and 992985? A.: 105 Let: What is the highest common divisor of 1971830 and 10234? A.: 238 Let: Calculate the greatest common divisor of 8100 and 215442990. A.: 810 Let: Calculate the greatest common factor of 5887 and 14351288. A.: 203 Let: Calculate the highest common divisor of 1462 and 258. A.: 86 Let: Calculate the highest common factor of 400 and 3750. A.: 50 Let: Calculate the greatest common divisor of 3 and 959241. A.: 3 Let: What is the highest common factor of 6 and 26766? A.: 6 Let: Calculate the highest common divisor of 108 and 567. A.: 27 Let: Calculate the highest common factor of 192 and 240. A.: 48 Let: Calculate the highest common factor of 1889220 and 23. A.: 23 Let: What is the greatest common factor of 15120 and 2205? A.: 315 Let: What is the greatest common divisor of 36 and 601116? A.: 12 Let: What is the highest common factor of 41 and 533? A.: 41 Let: What is the greatest common factor of 738 and 32679? A.: 9 Let: Calculate the greatest common divisor of 4259064 and 1032. A.: 1032 Let: Calculate the greatest c
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probability: swr p level set ---------------------------- Let: Calculate prob of picking 1 v, 1 a, and 1 q when three letters picked without replacement from {z: 1, y: 1, q: 1, a: 1, v: 1}. Result: 1/10 Let: Four letters picked without replacement from wogwswwgoo. Give prob of picking 2 g, 1 w, and 1 s. Result: 2/105 Let: Four letters picked without replacement from {v: 4, f: 2, r: 2, u: 1}. What is prob of picking 2 r and 2 v? Result: 1/21 Let: Two letters picked without replacement from xdqbhqd. What is prob of picking 1 b and 1 h? Result: 1/21 Let: What is prob of picking 2 r when two letters picked without replacement from fffffrfrfrf? Result: 3/55 Let: Calculate prob of picking 2 p when two letters picked without replacement from uppppup. Result: 10/21 Let: Two letters picked without replacement from {k: 1, m: 4, x: 1, v: 2, z: 1}. Give prob of picking 1 z and 1 k. Result: 1/36 Let: What is prob of picking 1 v and 2 a when three letters picked without replacement from {a: 17, v: 1}? Result: 1/6 Let: Two letters picked without replacement from tgltztgstgellll. Give prob of picking 1 g and 1 z. Result: 1/35 Let: Calculate prob of picking 1 z, 2 x, and 1 r when four letters picked without replacement from {z: 2, r: 3, x: 5}. Result: 2/7 Let: Calculate prob of picking 1 z, 1 c, and 1 q when three letters picked without replacement from {d: 1, c: 2, e: 3, q: 6, z: 1}. Result: 6/143 Let: Two letters picked without replacement from cygdyczcdcd. What is prob of picking 1 g and 1 z? Result: 1/55 Let: Calculate prob of picking 3 d when three letters picked without replacement from {d: 5, l: 3, m: 5}. Result: 5/143 Let: What is prob of picking 2 d when two letters picked without replacement from odootodddoddd? Result: 7/26 Let: Two letters picked without replacement from ffffffbfffbffbfhffff. Give prob of picking 1 h and 1 f. Result: 8/95 Let: Two letters picked without replacement from {b: 7, i: 2, q: 4, v: 1}. What is prob of picking 1 b and 1 q? Result: 4/13 Let: Calcu
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numbers: gcd ------------ Test item: Calculate the greatest common factor of 80540 and 580. Output: 20 Test item: Calculate the highest common factor of 1215 and 15555. Output: 15 Test item: Calculate the highest common factor of 52300 and 1675. Output: 25 Test item: What is the highest common divisor of 728 and 77187019? Output: 91 Test item: What is the highest common divisor of 18 and 149859? Output: 9 Test item: Calculate the highest common factor of 770 and 24220. Output: 70 Test item: Calculate the greatest common factor of 308506 and 44. Output: 22 Test item: What is the greatest common factor of 59057 and 10517? Output: 809 Test item: Calculate the greatest common factor of 1352 and 1137728. Output: 8 Test item: Calculate the highest common divisor of 483 and 138. Output: 69 Test item: Calculate the highest common factor of 9427 and 5784750. Output: 857 Test item: Calculate the highest common factor of 1060 and 2574940. Output: 20 Test item: Calculate the highest common divisor of 585 and 26955. Output: 45 Test item: What is the greatest common factor of 1735 and 39558? Output: 347 Test item: Calculate the highest common factor of 20 and 8. Output: 4 Test item: What is the highest common factor of 660 and 605? Output: 55 Test item: What is the highest common divisor of 260633 and 526? Output: 263 Test item: What is the highest common divisor of 1940390 and 17980? Output: 290 Test item: What is the greatest common factor of 468 and 3258? Output: 18 Test item: Calculate the highest common factor of 45 and 95. Output: 5 Test item: Calculate the greatest common factor of 14643 and 81. Output: 9 Test item: What is the highest common factor of 141017 and 83? Output: 83 Test item: Calculate the highest common divisor of 7 and 12340727. Output: 7 Test item: Calculate the highest common divisor of 78 and 1190774. Output: 26 Test item: What is the highest common divisor of 17101 and 3237673? Output: 349 Test item: What is the greatest common divisor of 1088 and 112757
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numbers: is prime ----------------- Subquestion: Is 824227 a composite number? Finding: False Subquestion: Is 8070817 a composite number? Finding: False Subquestion: Is 52955026687 prime? Finding: False Subquestion: Is 1546018643 a composite number? Finding: True Subquestion: Is 14234551 prime? Finding: True Subquestion: Is 8590149863 composite? Finding: False Subquestion: Is 138121 a composite number? Finding: True Subquestion: Is 366409 a prime number? Finding: True Subquestion: Is 405941363 composite? Finding: True Subquestion: Is 13526 a prime number? Finding: False Subquestion: Is 3840045631 a composite number? Finding: False Subquestion: Is 1998359 a composite number? Finding: True Subquestion: Is 15959 a composite number? Finding: False Subquestion: Is 42606401 a prime number? Finding: False Subquestion: Is 94922541683 prime? Finding: True Subquestion: Is 14660071 composite? Finding: True Subquestion: Is 240283621 prime? Finding: False Subquestion: Is 57487 prime? Finding: True Subquestion: Is 7157214209 a composite number? Finding: False Subquestion: Is 385607 a prime number? Finding: True Subquestion: Is 374461 composite? Finding: False Subquestion: Is 30907115945 composite? Finding: True Subquestion: Is 158113 composite? Finding: False Subquestion: Is 51971 a composite number? Finding: False Subquestion: Is 62681 a composite number? Finding: True Subquestion: Is 955597 prime? Finding: False Subquestion: Is 505949 composite? Finding: False Subquestion: Is 9091 composite? Finding: False Subquestion: Is 3919277 prime? Finding: True Subquestion: Is 7224769 prime? Finding: False Subquestion: Is 168576143 prime? Finding: False Subquestion: Is 82383967 prime? Finding: True Subquestion: Is 128356597 prime? Finding: False Subquestion: Is 7549423 composite? Finding: True Subquestion: Is 16151 a prime number? Finding: False Subquestion: Is 8074301 a composite number? Finding: False Subquestion: Is 4281373 a prime number? Finding: True Subquestion: Is 52617402653 a pr
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measurement: conversion ----------------------- Qn: What is 1/4 of a gram in milligrams? Clarification: 250 Qn: What is 189.8793 minutes in hours? Clarification: 3.164655 Qn: How many litres are there in 647.5675 millilitres? Clarification: 0.6475675 Qn: What is 98.58836t in micrograms? Clarification: 98588360000000 Qn: What is 3/50 of a millisecond in nanoseconds? Clarification: 60000 Qn: How many years are there in fourty-one halves of a millennium? Clarification: 20500 Qn: What is five quarters of a tonne in kilograms? Clarification: 1250 Qn: How many micrometers are there in 3/5 of a centimeter? Clarification: 6000 Qn: Convert 0.105976 grams to kilograms. Clarification: 0.000105976 Qn: How many years are there in 3/50 of a century? Clarification: 6 Qn: What is 3/25 of a millimeter in micrometers? Clarification: 120 Qn: Convert 316249.4cm to millimeters. Clarification: 3162494 Qn: What is 462.35 micrometers in millimeters? Clarification: 0.46235 Qn: What is twenty-one fifths of a litre in millilitres? Clarification: 4200 Qn: How many millennia are there in 98.92982 decades? Clarification: 0.9892982 Qn: What is 1/4 of a year in months? Clarification: 3 Qn: What is 2441.51m in centimeters? Clarification: 244151 Qn: How many litres are there in 958.303 millilitres? Clarification: 0.958303 Qn: What is 1.7738 milliseconds in seconds? Clarification: 0.0017738 Qn: What is 21/5 of a litre in millilitres? Clarification: 4200 Qn: What is twenty-five halves of a kilogram in grams? Clarification: 12500 Qn: What is 3.884748 centuries in decades? Clarification: 38.84748 Qn: How many years are there in 20.79579 centuries? Clarification: 2079.579 Qn: Convert 0.3250452 millennia to months. Clarification: 3900.5424 Qn: What is 1141.3 nanoseconds in seconds? Clarification: 0.0000011413 Qn: What is 3/10 of a litre in millilitres? Clarification: 300 Qn: What is nine tenths of a meter in millimeters? Clarification: 900 Qn: How many nanograms are there in 8.823562t? Clarification: 8823
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numbers: gcd ------------ Problem: Calculate the highest common divisor of 1173744 and 191178. Response: 4446 Problem: Calculate the greatest common divisor of 34207868 and 12. Response: 4 Problem: What is the greatest common divisor of 15680 and 84? Response: 28 Problem: Calculate the highest common factor of 138 and 9. Response: 3 Problem: Calculate the greatest common factor of 798 and 34048. Response: 266 Problem: What is the highest common divisor of 1742842 and 604? Response: 302 Problem: What is the greatest common factor of 59352 and 384? Response: 24 Problem: Calculate the highest common divisor of 243219 and 358530. Response: 969 Problem: What is the highest common factor of 302945699 and 7903? Response: 7903 Problem: What is the highest common factor of 4221 and 603? Response: 603 Problem: Calculate the highest common divisor of 14 and 238. Response: 14 Problem: What is the greatest common factor of 35 and 385? Response: 35 Problem: Calculate the highest common factor of 24686290 and 10. Response: 10 Problem: Calculate the highest common divisor of 33520 and 9680. Response: 80 Problem: What is the highest common factor of 34 and 367467971? Response: 17 Problem: Calculate the greatest common factor of 8788 and 208. Response: 52 Problem: What is the greatest common divisor of 6360 and 960? Response: 120 Problem: What is the greatest common factor of 135 and 360? Response: 45 Problem: Calculate the highest common divisor of 90644 and 476. Response: 68 Problem: What is the greatest common factor of 24 and 307240? Response: 8 Problem: Calculate the highest common divisor of 285 and 16150. Response: 95 Problem: What is the greatest common factor of 20 and 147505628? Response: 4 Problem: Calculate the highest common factor of 32 and 928. Response: 32 Problem: Calculate the highest common divisor of 895112 and 35998. Response: 82 Problem: What is the greatest common divisor of 39276881 and 98? Response: 49 Problem: What is the greatest common factor of 11765 and
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numbers: place value -------------------- Ask: What is the tens digit of 1985523627? Clarification: 2 Ask: What is the hundreds digit of 342472795? Clarification: 7 Ask: What is the hundreds digit of 258551? Clarification: 5 Ask: What is the tens digit of 23147? Clarification: 4 Ask: What is the units digit of 395772245? Clarification: 5 Ask: What is the units digit of 64632? Clarification: 2 Ask: What is the ten thousands digit of 16169141? Clarification: 6 Ask: What is the hundred thousands digit of 12979134? Clarification: 9 Ask: What is the hundred thousands digit of 1425112? Clarification: 4 Ask: What is the thousands digit of 15181565? Clarification: 1 Ask: What is the tens digit of 1659? Clarification: 5 Ask: What is the units digit of 331171? Clarification: 1 Ask: What is the units digit of 96? Clarification: 6 Ask: What is the thousands digit of 2935? Clarification: 2 Ask: What is the ten millions digit of 110766303? Clarification: 1 Ask: What is the tens digit of 22997? Clarification: 9 Ask: What is the units digit of 921176? Clarification: 6 Ask: What is the ten thousands digit of 43831879? Clarification: 3 Ask: What is the tens digit of 80311359? Clarification: 5 Ask: What is the tens digit of 566986212? Clarification: 1 Ask: What is the millions digit of 2964653978? Clarification: 4 Ask: What is the hundreds digit of 289? Clarification: 2 Ask: What is the millions digit of 1312482? Clarification: 1 Ask: What is the thousands digit of 99772? Clarification: 9 Ask: What is the units digit of 94720899? Clarification: 9 Ask: What is the hundred thousands digit of 707913843? Clarification: 9 Ask: What is the millions digit of 1064451? Clarification: 1 Ask: What is the ten thousands digit of 1061612? Clarification: 6 Ask: What is the units digit of 117500? Clarification: 0 Ask: What is the hundred thousands digit of 6753624505? Clarification: 6 Ask: What is the tens digit of 36? Clarification: 3 Ask: What is the units digit of 4969204085? Clarification: 5 Ask:
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numbers: lcm ------------ Input: Find the common denominator of -56/145110891 and 91/12. Workthrough: 580443564 Input: What is the least common multiple of 828 and 64? Workthrough: 13248 Input: What is the common denominator of -53/57 and -49/3? Workthrough: 57 Input: Calculate the common denominator of -79/2266 and -85/1648. Workthrough: 18128 Input: Calculate the least common multiple of 8404 and 72916924. Workthrough: 802086164 Input: Find the common denominator of 8/3 and -46/137. Workthrough: 411 Input: What is the least common multiple of 47454 and 19599? Workthrough: 310016982 Input: What is the lowest common multiple of 211784 and 115? Workthrough: 1058920 Input: What is the common denominator of -77/23010 and 57/53170? Workthrough: 9411090 Input: What is the common denominator of 19/12900 and 67/14018? Workthrough: 2102700 Input: What is the least common multiple of 1178640 and 39288? Workthrough: 1178640 Input: Calculate the common denominator of -2/63 and -167/90. Workthrough: 630 Input: What is the smallest common multiple of 417 and 6? Workthrough: 834 Input: Calculate the smallest common multiple of 78280 and 5330868. Workthrough: 53308680 Input: What is the common denominator of -1/470 and -49/5520? Workthrough: 259440 Input: What is the least common multiple of 563180 and 7180545? Workthrough: 28722180 Input: What is the least common multiple of 270 and 216? Workthrough: 1080 Input: What is the common denominator of 71/33 and -5/9? Workthrough: 99 Input: Calculate the common denominator of 77/596 and -93/596. Workthrough: 596 Input: Calculate the common denominator of -115/6852 and -37/5710. Workthrough: 34260 Input: Find the common denominator of -65/2349158 and 61/35. Workthrough: 11745790 Input: Calculate the least common multiple of 338640 and 6984450. Workthrough: 55875600 Input: Calculate the smallest common multiple of 611 and 104. Workthrough: 4888 Input: Calculate the common denominator of -45/22 and 4/111. Workthrough: 2442 Input: Calculate
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numbers: lcm ------------ Problem: What is the lowest common multiple of 260822 and 8? Clarification: 1043288 Problem: Calculate the least common multiple of 4168 and 2084. Clarification: 4168 Problem: Calculate the smallest common multiple of 602 and 12. Clarification: 3612 Problem: Calculate the lowest common multiple of 80 and 224. Clarification: 1120 Problem: Find the common denominator of -76/117 and -9/130. Clarification: 1170 Problem: Calculate the least common multiple of 8986 and 4. Clarification: 17972 Problem: What is the least common multiple of 570 and 41933? Clarification: 1257990 Problem: What is the least common multiple of 82636918 and 26? Clarification: 82636918 Problem: Find the common denominator of -85/1102 and 17/10. Clarification: 5510 Problem: What is the common denominator of 59/120 and 7/20? Clarification: 120 Problem: Find the common denominator of 41/1815 and 203/6346230. Clarification: 69808530 Problem: Calculate the common denominator of -199/3120 and 131/1200. Clarification: 15600 Problem: Calculate the common denominator of 36/2065 and 7/37760. Clarification: 264320 Problem: Calculate the least common multiple of 678 and 11. Clarification: 7458 Problem: Find the common denominator of 5/69 and -46/237. Clarification: 5451 Problem: What is the lowest common multiple of 4924378 and 188? Clarification: 9848756 Problem: Calculate the least common multiple of 34100 and 27280. Clarification: 136400 Problem: What is the smallest common multiple of 2912 and 47692? Clarification: 34719776 Problem: Find the common denominator of 51/322160 and -15/64432. Clarification: 322160 Problem: Find the common denominator of -41/8406 and -23/134064492. Clarification: 402193476 Problem: Calculate the common denominator of 45/104 and -59/156. Clarification: 312 Problem: What is the common denominator of 34/34891 and 75/2804974? Clarification: 2387032874 Problem: What is the lowest common multiple of 44 and 7236? Clarification: 79596 Problem: Calculate the co
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numbers: place value -------------------- Subquestion: What is the ten millions digit of 478697050? Eval: 7 Subquestion: What is the thousands digit of 252700? Eval: 2 Subquestion: What is the tens digit of 47096910? Eval: 1 Subquestion: What is the hundred thousands digit of 160344? Eval: 1 Subquestion: What is the ten thousands digit of 2458043? Eval: 5 Subquestion: What is the thousands digit of 112789353? Eval: 9 Subquestion: What is the hundreds digit of 52442? Eval: 4 Subquestion: What is the ten thousands digit of 30282? Eval: 3 Subquestion: What is the hundreds digit of 684? Eval: 6 Subquestion: What is the units digit of 4608975? Eval: 5 Subquestion: What is the ten millions digit of 520949884? Eval: 2 Subquestion: What is the thousands digit of 2498668? Eval: 8 Subquestion: What is the hundreds digit of 56134120? Eval: 1 Subquestion: What is the thousands digit of 32831978? Eval: 1 Subquestion: What is the millions digit of 5506695? Eval: 5 Subquestion: What is the units digit of 3029930166? Eval: 6 Subquestion: What is the hundred thousands digit of 66845382? Eval: 8 Subquestion: What is the tens digit of 44? Eval: 4 Subquestion: What is the units digit of 661547? Eval: 7 Subquestion: What is the units digit of 5733990? Eval: 0 Subquestion: What is the hundreds digit of 70185? Eval: 1 Subquestion: What is the hundreds digit of 20252? Eval: 2 Subquestion: What is the hundred millions digit of 1210081726? Eval: 2 Subquestion: What is the hundreds digit of 4093? Eval: 0 Subquestion: What is the units digit of 3321284016? Eval: 6 Subquestion: What is the ten thousands digit of 10269283? Eval: 6 Subquestion: What is the ten thousands digit of 46503? Eval: 4 Subquestion: What is the millions digit of 863331535? Eval: 3 Subquestion: What is the thousands digit of 1211564? Eval: 1 Subquestion: What is the ten thousands digit of 28967? Eval: 2 Subquestion: What is the hundred thousands digit of 103403? Eval: 1 Subquestion: What is the hundred thousands digit of 36
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numbers: is prime ----------------- Math Problem: Is 85434169 a composite number? Ans: True Math Problem: Is 1960769 composite? Ans: False Math Problem: Is 1217 prime? Ans: True Math Problem: Is 13549571471 composite? Ans: True Math Problem: Is 436589 prime? Ans: False Math Problem: Is 18474905 prime? Ans: False Math Problem: Is 2063819 composite? Ans: False Math Problem: Is 202815281 prime? Ans: True Math Problem: Is 115727 prime? Ans: True Math Problem: Is 989 composite? Ans: True Math Problem: Is 50914601 a composite number? Ans: True Math Problem: Is 162865 a composite number? Ans: True Math Problem: Is 1025683 a composite number? Ans: True Math Problem: Is 14377147 prime? Ans: False Math Problem: Is 116078813 prime? Ans: True Math Problem: Is 57217 prime? Ans: False Math Problem: Is 77929 prime? Ans: True Math Problem: Is 25318309 composite? Ans: False Math Problem: Is 5715653 prime? Ans: False Math Problem: Is 156060607 a composite number? Ans: True Math Problem: Is 95005 prime? Ans: False Math Problem: Is 5214221383 prime? Ans: False Math Problem: Is 92453 prime? Ans: False Math Problem: Is 14253 a prime number? Ans: False Math Problem: Is 13761617 a composite number? Ans: False Math Problem: Is 15149 a prime number? Ans: True Math Problem: Is 225949 a prime number? Ans: True Math Problem: Is 115682141 prime? Ans: False Math Problem: Is 10591091 a composite number? Ans: True Math Problem: Is 4781 prime? Ans: False Math Problem: Is 2512747 a composite number? Ans: False Math Problem: Is 3807315197 composite? Ans: True Math Problem: Is 15706489 a composite number? Ans: True Math Problem: Is 3614497 a composite number? Ans: False Math Problem: Is 17514547067 a composite number? Ans: True Math Problem: Is 1673337119 a composite number? Ans: True Math Problem: Is 4346164477 a prime number? Ans: False Math Problem: Is 14307165443 composite? Ans: True Math Problem: Is 13920311 prime? Ans: False Math Problem: Is 420521 a composite number? Ans: False Math Problem: Is
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numbers: div remainder ---------------------- Q/A: What is the remainder when 3615500 is divided by 464? Hence: 12 Q/A: What is the remainder when 596771 is divided by 548? Hence: 547 Q/A: Calculate the remainder when 211 is divided by 18. Hence: 13 Q/A: Calculate the remainder when 104452 is divided by 18. Hence: 16 Q/A: Calculate the remainder when 9258 is divided by 49. Hence: 46 Q/A: What is the remainder when 5191 is divided by 1695? Hence: 106 Q/A: What is the remainder when 1254667 is divided by 626962? Hence: 743 Q/A: What is the remainder when 169 is divided by 23? Hence: 8 Q/A: Calculate the remainder when 16261 is divided by 325. Hence: 11 Q/A: What is the remainder when 6768 is divided by 41? Hence: 3 Q/A: What is the remainder when 27937 is divided by 157? Hence: 148 Q/A: What is the remainder when 3500 is divided by 349? Hence: 10 Q/A: Calculate the remainder when 133 is divided by 17. Hence: 14 Q/A: Calculate the remainder when 394483 is divided by 37. Hence: 26 Q/A: What is the remainder when 8357 is divided by 4100? Hence: 157 Q/A: What is the remainder when 150 is divided by 32? Hence: 22 Q/A: Calculate the remainder when 195 is divided by 182. Hence: 13 Q/A: Calculate the remainder when 174 is divided by 52. Hence: 18 Q/A: What is the remainder when 22841 is divided by 81? Hence: 80 Q/A: What is the remainder when 40117 is divided by 25? Hence: 17 Q/A: Calculate the remainder when 2746 is divided by 2641. Hence: 105 Q/A: Calculate the remainder when 8566592 is divided by 31. Hence: 21 Q/A: What is the remainder when 43 is divided by 9? Hence: 7 Q/A: Calculate the remainder when 159431890 is divided by 79715931. Hence: 28 Q/A: Calculate the remainder when 96573 is divided by 247. Hence: 243 Q/A: What is the remainder when 2775 is divided by 920? Hence: 15 Q/A: What is the remainder when 1243 is divided by 15? Hence: 13 Q/A: Calculate the remainder when 279293 is divided by 525. Hence: 518 Q/A: What is the remainder when 17377391 is divided by 45? H
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numbers: place value -------------------- Task: What is the thousands digit of 219736? Therefore: 9 Task: What is the ten thousands digit of 256777019? Therefore: 7 Task: What is the tens digit of 56694? Therefore: 9 Task: What is the millions digit of 1936755? Therefore: 1 Task: What is the tens digit of 854180990? Therefore: 9 Task: What is the tens digit of 4083? Therefore: 8 Task: What is the thousands digit of 820402? Therefore: 0 Task: What is the hundred thousands digit of 586164? Therefore: 5 Task: What is the units digit of 190070? Therefore: 0 Task: What is the units digit of 17076? Therefore: 6 Task: What is the hundred thousands digit of 2600996? Therefore: 6 Task: What is the hundred thousands digit of 4434931852? Therefore: 9 Task: What is the millions digit of 1288012? Therefore: 1 Task: What is the tens digit of 458? Therefore: 5 Task: What is the tens digit of 10086? Therefore: 8 Task: What is the tens digit of 1436561? Therefore: 6 Task: What is the hundreds digit of 853? Therefore: 8 Task: What is the units digit of 836? Therefore: 6 Task: What is the ten millions digit of 708584237? Therefore: 0 Task: What is the tens digit of 339? Therefore: 3 Task: What is the ten thousands digit of 21917? Therefore: 2 Task: What is the ten thousands digit of 186709? Therefore: 8 Task: What is the hundred thousands digit of 27517318? Therefore: 5 Task: What is the units digit of 815? Therefore: 5 Task: What is the tens digit of 2459? Therefore: 5 Task: What is the units digit of 2324577? Therefore: 7 Task: What is the ten thousands digit of 424775? Therefore: 2 Task: What is the ten millions digit of 268412724? Therefore: 6 Task: What is the units digit of 308134270? Therefore: 0 Task: What is the hundreds digit of 578? Therefore: 5 Task: What is the ten thousands digit of 38150? Therefore: 3 Task: What is the ten thousands digit of 4006520? Therefore: 0 Task: What is the tens digit of 121694? Therefore: 9 Task: What is the ten thousands digit of 97008265? Ther
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numbers: place value -------------------- Test item: What is the millions digit of 2866856012? Ans: 6 Test item: What is the thousands digit of 3002? Ans: 3 Test item: What is the ten millions digit of 1825120592? Ans: 2 Test item: What is the hundreds digit of 11026079? Ans: 0 Test item: What is the hundreds digit of 487063712? Ans: 7 Test item: What is the millions digit of 4714533? Ans: 4 Test item: What is the hundreds digit of 3229? Ans: 2 Test item: What is the tens digit of 14076508? Ans: 0 Test item: What is the tens digit of 415? Ans: 1 Test item: What is the units digit of 587146808? Ans: 8 Test item: What is the tens digit of 5360? Ans: 6 Test item: What is the thousands digit of 178707? Ans: 8 Test item: What is the thousands digit of 608674516? Ans: 4 Test item: What is the tens digit of 371? Ans: 7 Test item: What is the thousands digit of 10802? Ans: 0 Test item: What is the tens digit of 1082535? Ans: 3 Test item: What is the tens digit of 50426422? Ans: 2 Test item: What is the hundreds digit of 19454? Ans: 4 Test item: What is the tens digit of 260972800? Ans: 0 Test item: What is the units digit of 833703? Ans: 3 Test item: What is the ten millions digit of 530163291? Ans: 3 Test item: What is the hundreds digit of 93005? Ans: 0 Test item: What is the hundred thousands digit of 74259666? Ans: 2 Test item: What is the millions digit of 14429744? Ans: 4 Test item: What is the tens digit of 1837383806? Ans: 0 Test item: What is the hundreds digit of 9312439? Ans: 4 Test item: What is the hundred millions digit of 379726421? Ans: 3 Test item: What is the hundred thousands digit of 422885755? Ans: 8 Test item: What is the units digit of 1632? Ans: 2 Test item: What is the ten thousands digit of 44463785? Ans: 6 Test item: What is the tens digit of 429? Ans: 2 Test item: What is the millions digit of 28924248? Ans: 8 Test item: What is the thousands digit of 5898? Ans: 5 Test item: What is the tens digit of 1394? Ans: 9 Test item: What is the hundred th
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measurement: time ----------------- Ask: How many minutes are there between 11:27 AM and 8:39 PM? Clarification: 552 Ask: How many minutes are there between 1:39 PM and 4:32 PM? Clarification: 173 Ask: What is 391 minutes before 9:26 PM? Clarification: 2:55 PM Ask: What is 136 minutes after 1:34 PM? Clarification: 3:50 PM Ask: How many minutes are there between 9:57 AM and 2:55 PM? Clarification: 298 Ask: What is 202 minutes after 2:40 PM? Clarification: 6:02 PM Ask: What is 708 minutes before 6:52 AM? Clarification: 7:04 PM Ask: What is 171 minutes before 3:28 PM? Clarification: 12:37 PM Ask: How many minutes are there between 1:02 AM and 3:38 AM? Clarification: 156 Ask: How many minutes are there between 11:39 PM and 12:27 AM? Clarification: 48 Ask: What is 71 minutes before 9:54 PM? Clarification: 8:43 PM Ask: What is 482 minutes after 2:14 PM? Clarification: 10:16 PM Ask: What is 627 minutes before 6:23 PM? Clarification: 7:56 AM Ask: What is 279 minutes before 5:27 AM? Clarification: 12:48 AM Ask: How many minutes are there between 4:35 PM and 1:27 AM? Clarification: 532 Ask: How many minutes are there between 12:50 AM and 9:14 AM? Clarification: 504 Ask: How many minutes are there between 8:39 AM and 3:27 PM? Clarification: 408 Ask: How many minutes are there between 10:24 PM and 12:36 AM? Clarification: 132 Ask: What is 560 minutes before 2:45 PM? Clarification: 5:25 AM Ask: How many minutes are there between 7:43 PM and 8:32 PM? Clarification: 49 Ask: What is 704 minutes after 12:54 AM? Clarification: 12:38 PM Ask: How many minutes are there between 1:12 AM and 12:21 PM? Clarification: 669 Ask: What is 104 minutes before 1:21 AM? Clarification: 11:37 PM Ask: What is 488 minutes before 10:24 AM? Clarification: 2:16 AM Ask: How many minutes are there between 6:25 PM and 1:29 AM? Clarification: 424 Ask: What is 121 minutes before 10:26 PM? Clarification: 8:25 PM Ask: How many minutes are there between 11:15 PM and 1:51 AM? Clarification: 156 Ask: How many minut
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numbers: div remainder ---------------------- Situation: Calculate the remainder when 6307 is divided by 19. Math A: 18 Situation: Calculate the remainder when 2120715 is divided by 21421. Math A: 36 Situation: Calculate the remainder when 763795 is divided by 3807. Math A: 2395 Situation: Calculate the remainder when 83599 is divided by 8. Math A: 7 Situation: What is the remainder when 2869 is divided by 913? Math A: 130 Situation: Calculate the remainder when 132104012 is divided by 22. Math A: 18 Situation: What is the remainder when 299954 is divided by 8874? Math A: 7112 Situation: What is the remainder when 709388 is divided by 354596? Math A: 196 Situation: Calculate the remainder when 25024 is divided by 25002. Math A: 22 Situation: What is the remainder when 256327 is divided by 32? Math A: 7 Situation: Calculate the remainder when 1489 is divided by 186. Math A: 1 Situation: What is the remainder when 2089 is divided by 10? Math A: 9 Situation: What is the remainder when 311 is divided by 2? Math A: 1 Situation: What is the remainder when 93514 is divided by 23375? Math A: 14 Situation: Calculate the remainder when 14075 is divided by 782. Math A: 781 Situation: What is the remainder when 7678 is divided by 1758? Math A: 646 Situation: Calculate the remainder when 289 is divided by 89. Math A: 22 Situation: Calculate the remainder when 48212 is divided by 702. Math A: 476 Situation: What is the remainder when 4514 is divided by 3722? Math A: 792 Situation: Calculate the remainder when 7156 is divided by 891. Math A: 28 Situation: Calculate the remainder when 1156 is divided by 912. Math A: 244 Situation: What is the remainder when 4585 is divided by 148? Math A: 145 Situation: Calculate the remainder when 63594 is divided by 3146. Math A: 674 Situation: What is the remainder when 1417 is divided by 636? Math A: 145 Situation: Calculate the remainder when 13118 is divided by 8. Math A: 6 Situation: What is the remainder when 22463 is divided by 244? Math A
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numbers: lcm ------------ Subquestion: What is the least common multiple of 15 and 8460? Answer: 8460 Subquestion: Find the common denominator of 133/156 and -23/36. Answer: 468 Subquestion: What is the smallest common multiple of 169400 and 12755820? Answer: 127558200 Subquestion: Find the common denominator of -127/5328 and 113/24. Answer: 5328 Subquestion: What is the smallest common multiple of 1 and 552? Answer: 552 Subquestion: Find the common denominator of 67/11375 and -17/301525. Answer: 19599125 Subquestion: What is the least common multiple of 186208 and 13344? Answer: 77648736 Subquestion: What is the smallest common multiple of 10876 and 723254? Answer: 1446508 Subquestion: What is the lowest common multiple of 8 and 13190? Answer: 52760 Subquestion: Calculate the common denominator of -27/28 and -31/4. Answer: 28 Subquestion: What is the smallest common multiple of 160 and 4? Answer: 160 Subquestion: What is the common denominator of -15/44302 and 49/177208? Answer: 177208 Subquestion: Calculate the lowest common multiple of 1496 and 220. Answer: 7480 Subquestion: What is the common denominator of 27/7456600 and -97/900? Answer: 67109400 Subquestion: Calculate the common denominator of -21/418 and 76/33. Answer: 1254 Subquestion: What is the smallest common multiple of 14282 and 1158? Answer: 42846 Subquestion: Calculate the smallest common multiple of 33 and 3357. Answer: 36927 Subquestion: What is the common denominator of 3/4130 and 67/4130? Answer: 4130 Subquestion: Find the common denominator of 62/590337 and -53/536670. Answer: 5903370 Subquestion: What is the least common multiple of 164002 and 2? Answer: 164002 Subquestion: Calculate the smallest common multiple of 27 and 2865. Answer: 25785 Subquestion: Calculate the least common multiple of 20 and 2545. Answer: 10180 Subquestion: Calculate the lowest common multiple of 2574 and 50336. Answer: 453024 Subquestion: What is the smallest common multiple of 6 and 52? Answer: 156 Subquestion: What i
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arithmetic: nearest integer root -------------------------------- Statement: What is 74 to the power of 1/3, to the nearest integer? = : 4 Statement: What is 100326 to the power of 1/4, to the nearest integer? = : 18 Statement: What is 1220 to the power of 1/2, to the nearest integer? = : 35 Statement: What is the sixth root of 37943891 to the nearest integer? = : 18 Statement: What is the square root of 1166810129 to the nearest integer? = : 34159 Statement: What is 81942 to the power of 1/2, to the nearest integer? = : 286 Statement: What is the seventh root of 2168660 to the nearest integer? = : 8 Statement: What is 81309919 to the power of 1/3, to the nearest integer? = : 433 Statement: What is 3591 to the power of 1/3, to the nearest integer? = : 15 Statement: What is the cube root of 24017 to the nearest integer? = : 29 Statement: What is 84782 to the power of 1/2, to the nearest integer? = : 291 Statement: What is the fourth root of 169122705 to the nearest integer? = : 114 Statement: What is the cube root of 190098188 to the nearest integer? = : 575 Statement: What is 737 to the power of 1/3, to the nearest integer? = : 9 Statement: What is 1925 to the power of 1/7, to the nearest integer? = : 3 Statement: What is 77804 to the power of 1/2, to the nearest integer? = : 279 Statement: What is 201615162 to the power of 1/4, to the nearest integer? = : 119 Statement: What is 272684469 to the power of 1/2, to the nearest integer? = : 16513 Statement: What is 276437013 to the power of 1/3, to the nearest integer? = : 651 Statement: What is 9154137 to the power of 1/2, to the nearest integer? = : 3026 Statement: What is the third root of 5510667 to the nearest integer? = : 177 Statement: What is 18428148 to the power of 1/3, to the nearest integer? = : 264 Statement: What is 14875242 to the power of 1/2, to the nearest integer? = : 3857 Statement: What is the seventh root of 1613 to the nearest integer? = : 3 Statement: What is the cube root of 2687 to the nearest
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numbers: gcd ------------ Ask: What is the highest common divisor of 1026763 and 79? Soln: 79 Ask: Calculate the highest common factor of 372 and 24. Soln: 12 Ask: What is the greatest common factor of 8235 and 12062445? Soln: 915 Ask: What is the greatest common factor of 186 and 142414? Soln: 62 Ask: What is the highest common factor of 28 and 1148? Soln: 28 Ask: What is the greatest common divisor of 64 and 1075904? Soln: 64 Ask: Calculate the greatest common divisor of 953 and 1. Soln: 1 Ask: Calculate the highest common factor of 586 and 514801. Soln: 293 Ask: What is the highest common factor of 282104 and 40? Soln: 8 Ask: Calculate the highest common factor of 20010 and 2519926. Soln: 1334 Ask: Calculate the greatest common factor of 1496 and 2169948. Soln: 748 Ask: Calculate the highest common factor of 10 and 1570. Soln: 10 Ask: What is the highest common factor of 4977025922 and 11? Soln: 11 Ask: Calculate the greatest common factor of 480 and 135. Soln: 15 Ask: Calculate the greatest common factor of 101 and 340774. Soln: 101 Ask: What is the greatest common factor of 11 and 187? Soln: 11 Ask: What is the greatest common divisor of 2988 and 5606816? Soln: 332 Ask: What is the highest common factor of 73695 and 51? Soln: 51 Ask: What is the greatest common divisor of 1012 and 44? Soln: 44 Ask: Calculate the greatest common factor of 66568 and 7425472. Soln: 1256 Ask: What is the highest common factor of 2760 and 424? Soln: 8 Ask: Calculate the highest common divisor of 60739 and 14. Soln: 7 Ask: Calculate the greatest common factor of 216 and 13824. Soln: 216 Ask: Calculate the greatest common factor of 26 and 9790898. Soln: 26 Ask: What is the greatest common factor of 117260 and 1105? Soln: 65 Ask: What is the highest common factor of 591 and 28942649? Soln: 197 Ask: What is the greatest common factor of 5643 and 508706? Soln: 209 Ask: What is the greatest common divisor of 881803 and 27521? Soln: 377 Ask: Calculate the greatest common divisor of 936899
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arithmetic: nearest integer root -------------------------------- Ask: What is 3528042 to the power of 1/2, to the nearest integer? Eval: 1878 Ask: What is 30742 to the power of 1/2, to the nearest integer? Eval: 175 Ask: What is 5589 to the power of 1/2, to the nearest integer? Eval: 75 Ask: What is 29223799 to the power of 1/8, to the nearest integer? Eval: 9 Ask: What is 411845695 to the power of 1/2, to the nearest integer? Eval: 20294 Ask: What is the third root of 519 to the nearest integer? Eval: 8 Ask: What is the square root of 54645309 to the nearest integer? Eval: 7392 Ask: What is 8744 to the power of 1/3, to the nearest integer? Eval: 21 Ask: What is 4351203 to the power of 1/2, to the nearest integer? Eval: 2086 Ask: What is the third root of 774664818 to the nearest integer? Eval: 918 Ask: What is 1504 to the power of 1/6, to the nearest integer? Eval: 3 Ask: What is the square root of 148420 to the nearest integer? Eval: 385 Ask: What is the ninth root of 19638 to the nearest integer? Eval: 3 Ask: What is the cube root of 19896766 to the nearest integer? Eval: 271 Ask: What is 275999949 to the power of 1/3, to the nearest integer? Eval: 651 Ask: What is the square root of 459837 to the nearest integer? Eval: 678 Ask: What is 657656225 to the power of 1/4, to the nearest integer? Eval: 160 Ask: What is the square root of 997674899 to the nearest integer? Eval: 31586 Ask: What is 71209 to the power of 1/3, to the nearest integer? Eval: 41 Ask: What is the cube root of 423 to the nearest integer? Eval: 8 Ask: What is the square root of 349261 to the nearest integer? Eval: 591 Ask: What is the square root of 111555591 to the nearest integer? Eval: 10562 Ask: What is the square root of 37306668 to the nearest integer? Eval: 6108 Ask: What is 115460 to the power of 1/2, to the nearest integer? Eval: 340 Ask: What is 38887 to the power of 1/4, to the nearest integer? Eval: 14 Ask: What is the third root of 9304332 to the nearest integer? Eval: 210 Ask: What
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numbers: place value -------------------- What if: What is the thousands digit of 3530564? Response: 0 What if: What is the hundreds digit of 5791? Response: 7 What if: What is the ten thousands digit of 17382? Response: 1 What if: What is the ten millions digit of 12087631? Response: 1 What if: What is the ten thousands digit of 106855? Response: 0 What if: What is the units digit of 3930? Response: 0 What if: What is the millions digit of 1319058? Response: 1 What if: What is the ten thousands digit of 53518? Response: 5 What if: What is the thousands digit of 2278416? Response: 8 What if: What is the tens digit of 21162627? Response: 2 What if: What is the units digit of 119689785? Response: 5 What if: What is the units digit of 246? Response: 6 What if: What is the hundreds digit of 330616? Response: 6 What if: What is the hundreds digit of 37362? Response: 3 What if: What is the tens digit of 497990816? Response: 1 What if: What is the units digit of 77909? Response: 9 What if: What is the thousands digit of 198006? Response: 8 What if: What is the millions digit of 701575697? Response: 1 What if: What is the units digit of 3038570953? Response: 3 What if: What is the hundreds digit of 4938? Response: 9 What if: What is the ten thousands digit of 17823? Response: 1 What if: What is the ten millions digit of 2489063161? Response: 8 What if: What is the millions digit of 310111876? Response: 0 What if: What is the thousands digit of 4388? Response: 4 What if: What is the ten thousands digit of 15575? Response: 1 What if: What is the hundreds digit of 158487? Response: 4 What if: What is the ten thousands digit of 63151? Response: 6 What if: What is the tens digit of 63576? Response: 7 What if: What is the ten millions digit of 89923319? Response: 8 What if: What is the tens digit of 1210470? Response: 7 What if: What is the ten thousands digit of 97086083? Response: 8 What if: What is the hundred thousands digit of 1066775? Response: 0 What if: What is the tens d
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numbers: place value -------------------- Test item: What is the thousands digit of 27189? Gives: 7 Test item: What is the hundred thousands digit of 49168817? Gives: 1 Test item: What is the units digit of 58459995? Gives: 5 Test item: What is the ten millions digit of 56804213? Gives: 5 Test item: What is the units digit of 64930997? Gives: 7 Test item: What is the thousands digit of 338562? Gives: 8 Test item: What is the billions digit of 1570718364? Gives: 1 Test item: What is the units digit of 2058? Gives: 8 Test item: What is the hundred millions digit of 385444628? Gives: 3 Test item: What is the units digit of 6097? Gives: 7 Test item: What is the thousands digit of 117814122? Gives: 4 Test item: What is the thousands digit of 26501012? Gives: 1 Test item: What is the units digit of 285413? Gives: 3 Test item: What is the ten thousands digit of 150110? Gives: 5 Test item: What is the tens digit of 596141? Gives: 4 Test item: What is the ten thousands digit of 21708? Gives: 2 Test item: What is the thousands digit of 6046? Gives: 6 Test item: What is the hundreds digit of 3809481? Gives: 4 Test item: What is the thousands digit of 2580? Gives: 2 Test item: What is the ten millions digit of 16388785? Gives: 1 Test item: What is the hundreds digit of 2913396? Gives: 3 Test item: What is the tens digit of 1183038130? Gives: 3 Test item: What is the hundred millions digit of 618546675? Gives: 6 Test item: What is the tens digit of 238069? Gives: 6 Test item: What is the units digit of 12328? Gives: 8 Test item: What is the thousands digit of 2736271? Gives: 6 Test item: What is the hundred thousands digit of 24150249? Gives: 1 Test item: What is the ten millions digit of 145631559? Gives: 4 Test item: What is the hundred thousands digit of 7485835? Gives: 4 Test item: What is the thousands digit of 140402? Gives: 0 Test item: What is the tens digit of 62801310? Gives: 1 Test item: What is the millions digit of 160808067? Gives: 0 Test item: What is the ten thou
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arithmetic: nearest integer root -------------------------------- Input: What is the cube root of 71652450 to the nearest integer? Result: 415 Input: What is the square root of 336804 to the nearest integer? Result: 580 Input: What is 3528488 to the power of 1/2, to the nearest integer? Result: 1878 Input: What is 12948214 to the power of 1/2, to the nearest integer? Result: 3598 Input: What is the square root of 1665 to the nearest integer? Result: 41 Input: What is 4037 to the power of 1/9, to the nearest integer? Result: 3 Input: What is the third root of 91609 to the nearest integer? Result: 45 Input: What is the cube root of 3805 to the nearest integer? Result: 16 Input: What is the tenth root of 492754611 to the nearest integer? Result: 7 Input: What is the sixth root of 213480197 to the nearest integer? Result: 24 Input: What is the third root of 93146 to the nearest integer? Result: 45 Input: What is 19082 to the power of 1/2, to the nearest integer? Result: 138 Input: What is the fourth root of 140381 to the nearest integer? Result: 19 Input: What is the square root of 3581 to the nearest integer? Result: 60 Input: What is the cube root of 198006 to the nearest integer? Result: 58 Input: What is 281938 to the power of 1/5, to the nearest integer? Result: 12 Input: What is the fifth root of 2985152 to the nearest integer? Result: 20 Input: What is 12699171 to the power of 1/9, to the nearest integer? Result: 6 Input: What is the cube root of 22821112 to the nearest integer? Result: 284 Input: What is 2947613128 to the power of 1/2, to the nearest integer? Result: 54292 Input: What is 1306234 to the power of 1/3, to the nearest integer? Result: 109 Input: What is 170482 to the power of 1/9, to the nearest integer? Result: 4 Input: What is 746 to the power of 1/3, to the nearest integer? Result: 9 Input: What is the square root of 17424 to the nearest integer? Result: 132 Input: What is the fifth root of 8796 to the nearest integer? Result: 6 Input: What is 31
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measurement: conversion ----------------------- Part A: What is 37/5 of a litre in millilitres? Yields: 7400 Part A: How many millilitres are there in 3/25 of a litre? Yields: 120 Part A: Convert 39464.65 weeks to minutes. Yields: 397803672 Part A: How many millennia are there in 307861.5 centuries? Yields: 30786.15 Part A: How many nanometers are there in 51/2 of a micrometer? Yields: 25500 Part A: Convert 51460.71 nanometers to kilometers. Yields: 0.00000005146071 Part A: Convert 922.0759 years to decades. Yields: 92.20759 Part A: How many hours are there in 1.198557us? Yields: 0.0000000003329325 Part A: What is fifty-seven fifths of a kilogram in grams? Yields: 11400 Part A: How many nanograms are there in 2.797271 milligrams? Yields: 2797271 Part A: How many millilitres are there in fourty-three halves of a litre? Yields: 21500 Part A: How many micrometers are there in seventeen quarters of a centimeter? Yields: 42500 Part A: How many months are there in 1/60 of a century? Yields: 20 Part A: What is 0.5321991 weeks in hours? Yields: 89.4094488 Part A: What is 6036.101um in millimeters? Yields: 6.036101 Part A: What is 363.5303ml in litres? Yields: 0.3635303 Part A: How many weeks are there in 120.6338238 microseconds? Yields: 0.0000000001994606875 Part A: What is 3/40 of a milligram in micrograms? Yields: 75 Part A: How many milligrams are there in 0.252454kg? Yields: 252454 Part A: How many months are there in 95.26384 years? Yields: 1143.16608 Part A: What is 6/25 of a millennium in months? Yields: 2880 Part A: What is 659926.8 grams in kilograms? Yields: 659.9268 Part A: Convert 92.4985 millimeters to micrometers. Yields: 92498.5 Part A: How many millilitres are there in eleven quarters of a litre? Yields: 2750 Part A: How many months are there in 7/3 of a decade? Yields: 280 Part A: What is 1/24 of a minute in milliseconds? Yields: 2500 Part A: Convert 167783.6 years to months. Yields: 2013403.2 Part A: How many millilitres are there in 639999.2 litres? Yiel
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numbers: is prime ----------------- Problem: Is 1248193 a composite number? Response: False Problem: Is 3024533 a prime number? Response: True Problem: Is 1141319 prime? Response: True Problem: Is 5291921 composite? Response: True Problem: Is 22618479629 prime? Response: False Problem: Is 1215514931 a composite number? Response: True Problem: Is 2122522 a composite number? Response: True Problem: Is 1312078 prime? Response: False Problem: Is 261132119 composite? Response: True Problem: Is 64494419323 a prime number? Response: False Problem: Is 578207 a composite number? Response: True Problem: Is 65977003 prime? Response: False Problem: Is 303718793 prime? Response: False Problem: Is 4371808321 prime? Response: True Problem: Is 87251 prime? Response: True Problem: Is 1987 a composite number? Response: False Problem: Is 37353664829 a prime number? Response: False Problem: Is 590893333 a prime number? Response: False Problem: Is 1668101 a composite number? Response: True Problem: Is 113221733 a prime number? Response: False Problem: Is 1386551 a prime number? Response: True Problem: Is 6016820063 prime? Response: True Problem: Is 585689053 a prime number? Response: True Problem: Is 10643 prime? Response: False Problem: Is 732289 prime? Response: False Problem: Is 31531 a composite number? Response: False Problem: Is 810137 a composite number? Response: False Problem: Is 1740970979 a composite number? Response: True Problem: Is 243795999 a prime number? Response: False Problem: Is 230003 composite? Response: False Problem: Is 2100902623 prime? Response: False Problem: Is 428777 prime? Response: True Problem: Is 139418759 a prime number? Response: False Problem: Is 11195026481 prime? Response: False Problem: Is 1169794 a composite number? Response: True Problem: Is 617347 a composite number? Response: True Problem: Is 35477579 a composite number? Response: True Problem: Is 5947119589 a prime number? Response: True Problem: Is 381002269 a prime number? Response: False Pr
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measurement: conversion ----------------------- Qn: What is one quarter of a litre in millilitres? Calculation: 250 Qn: What is 109.1281 hours in milliseconds? Calculation: 392861160 Qn: How many millimeters are there in 3/40 of a meter? Calculation: 75 Qn: How many years are there in 7/2 of a millennium? Calculation: 3500 Qn: How many seconds are there in two ninths of a hour? Calculation: 800 Qn: What is 13/5 of a meter in centimeters? Calculation: 260 Qn: How many years are there in 540905.3 decades? Calculation: 5409053 Qn: What is one sixteenth of a day in seconds? Calculation: 5400 Qn: What is seven halves of a century in months? Calculation: 4200 Qn: What is eleven tenths of a litre in millilitres? Calculation: 1100 Qn: What is six fifths of a day in minutes? Calculation: 1728 Qn: What is 14778.45 millilitres in litres? Calculation: 14.77845 Qn: Convert 27.68784l to millilitres. Calculation: 27687.84 Qn: What is 7/2 of a litre in millilitres? Calculation: 3500 Qn: How many kilograms are there in five eighths of a tonne? Calculation: 625 Qn: How many grams are there in five quarters of a kilogram? Calculation: 1250 Qn: What is 9.269633us in seconds? Calculation: 0.000009269633 Qn: How many litres are there in 5.732898 millilitres? Calculation: 0.005732898 Qn: What is 8.208863 microseconds in nanoseconds? Calculation: 8208.863 Qn: How many nanograms are there in 29473.91mg? Calculation: 29473910000 Qn: What is 75234.98 weeks in nanoseconds? Calculation: 45502115904000000000 Qn: How many nanograms are there in 7/4 of a microgram? Calculation: 1750 Qn: Convert 3.792013 years to millennia. Calculation: 0.003792013 Qn: Convert 65.66427 millilitres to litres. Calculation: 0.06566427 Qn: What is three eighths of a week in minutes? Calculation: 3780 Qn: How many minutes are there in 2/21 of a week? Calculation: 960 Qn: What is 65.33529 years in months? Calculation: 784.02348 Qn: How many nanograms are there in 25/8 of a microgram? Calculation: 3125 Qn: How many centim
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numbers: is factor ------------------ Problem: Is 509515923 a multiple of 132? Resolution: False Problem: Is 72927410 a multiple of 2078? Resolution: True Problem: Is 45 a factor of 11289420? Resolution: True Problem: Is 140650 a multiple of 6? Resolution: False Problem: Is 172 a factor of 2448936? Resolution: True Problem: Is 54 a factor of 297000? Resolution: True Problem: Does 102 divide 9818900? Resolution: False Problem: Does 50 divide 4839? Resolution: False Problem: Is 660999534 a multiple of 13? Resolution: True Problem: Is 66928 a multiple of 23? Resolution: False Problem: Does 117 divide 68712? Resolution: False Problem: Is 47 a factor of 1833? Resolution: True Problem: Is 6 a factor of 298? Resolution: False Problem: Is 160 a factor of 30080? Resolution: True Problem: Is 5635 a multiple of 18? Resolution: False Problem: Is 13 a factor of 3868923? Resolution: False Problem: Does 203 divide 10818677? Resolution: False Problem: Is 45362255 a multiple of 611? Resolution: False Problem: Is 12729248 a multiple of 28? Resolution: True Problem: Does 667 divide 2008276? Resolution: False Problem: Is 136 a factor of 267167920? Resolution: True Problem: Does 61 divide 263? Resolution: False Problem: Is 3382 a factor of 7531449? Resolution: False Problem: Does 92 divide 207431? Resolution: False Problem: Is 8188692 a multiple of 74? Resolution: True Problem: Is 7317 a multiple of 3? Resolution: True Problem: Is 30874401 a multiple of 1159? Resolution: False Problem: Is 274906 a multiple of 311? Resolution: False Problem: Does 231 divide 968352? Resolution: True Problem: Is 933351 a multiple of 346? Resolution: False Problem: Is 30682 a multiple of 5? Resolution: False Problem: Does 2285 divide 225600423? Resolution: False Problem: Is 185 a factor of 152724715? Resolution: True Problem: Does 55 divide 17916827? Resolution: False Problem: Is 1051333020 a multiple of 9? Resolution: True Problem: Is 2764238 a multiple of 107? Resolution: True Problem: Is 34825050 a multi
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numbers: place value -------------------- Q: What is the tens digit of 69306? Reply: 0 Q: What is the hundreds digit of 858432? Reply: 4 Q: What is the hundreds digit of 392? Reply: 3 Q: What is the thousands digit of 1336? Reply: 1 Q: What is the tens digit of 1315654197? Reply: 9 Q: What is the billions digit of 5018589661? Reply: 5 Q: What is the tens digit of 14813? Reply: 1 Q: What is the hundred thousands digit of 964487? Reply: 9 Q: What is the hundreds digit of 1335? Reply: 3 Q: What is the ten thousands digit of 292649? Reply: 9 Q: What is the tens digit of 28? Reply: 2 Q: What is the hundreds digit of 2181006? Reply: 0 Q: What is the hundreds digit of 851327667? Reply: 6 Q: What is the ten thousands digit of 1408261706? Reply: 6 Q: What is the millions digit of 3196032? Reply: 3 Q: What is the units digit of 150315? Reply: 5 Q: What is the ten thousands digit of 48225145? Reply: 2 Q: What is the hundred thousands digit of 5225962? Reply: 2 Q: What is the hundreds digit of 4745132? Reply: 1 Q: What is the ten thousands digit of 62124? Reply: 6 Q: What is the tens digit of 59821? Reply: 2 Q: What is the hundred thousands digit of 1183970047? Reply: 9 Q: What is the thousands digit of 1518238055? Reply: 8 Q: What is the tens digit of 3646? Reply: 4 Q: What is the units digit of 1801976? Reply: 6 Q: What is the units digit of 6508? Reply: 8 Q: What is the millions digit of 2378964454? Reply: 8 Q: What is the units digit of 794895? Reply: 5 Q: What is the thousands digit of 10423? Reply: 0 Q: What is the thousands digit of 47106? Reply: 7 Q: What is the units digit of 335? Reply: 5 Q: What is the millions digit of 1117282? Reply: 1 Q: What is the tens digit of 15676824? Reply: 2 Q: What is the hundreds digit of 119567? Reply: 5 Q: What is the hundreds digit of 14004? Reply: 0 Q: What is the tens digit of 2380? Reply: 8 Q: What is the hundred thousands digit of 774279? Reply: 7 Q: What is the hundreds digit of 2415? Reply: 4 Q: What is the tens digit of 3425213?
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probability: swr p level set ---------------------------- Puzzle: Calculate prob of picking 3 x when three letters picked without replacement from vxxuvxxxxuxxxvx. Conclusion: 24/91 Puzzle: What is prob of picking 3 c when three letters picked without replacement from aaaaaaacaccacacaaa? Conclusion: 5/408 Puzzle: Calculate prob of picking 2 c and 1 y when three letters picked without replacement from cppccypckcky. Conclusion: 1/11 Puzzle: Calculate prob of picking 1 c and 3 x when four letters picked without replacement from {x: 4, n: 2, c: 4}. Conclusion: 8/105 Puzzle: Four letters picked without replacement from {r: 1, k: 6, s: 3, z: 1, x: 2}. What is prob of picking 1 z, 1 x, and 2 s? Conclusion: 6/715 Puzzle: Calculate prob of picking 1 g and 2 p when three letters picked without replacement from {o: 6, p: 4, y: 3, g: 2}. Conclusion: 12/455 Puzzle: What is prob of picking 1 r, 1 w, and 1 e when three letters picked without replacement from fkeekrfkkfwwr? Conclusion: 4/143 Puzzle: Four letters picked without replacement from {a: 4, f: 2, v: 3, w: 1}. Give prob of picking 1 a, 1 w, and 2 f. Conclusion: 2/105 Puzzle: Two letters picked without replacement from {a: 7, l: 12}. Give prob of picking 1 l and 1 a. Conclusion: 28/57 Puzzle: Two letters picked without replacement from {s: 6, x: 5, m: 1, w: 1, z: 3, y: 3}. What is prob of picking 1 z and 1 w? Conclusion: 1/57 Puzzle: Four letters picked without replacement from fnnffnf. Give prob of picking 1 n and 3 f. Conclusion: 12/35 Puzzle: Three letters picked without replacement from nttttntttt. What is prob of picking 3 t? Conclusion: 7/15 Puzzle: Calculate prob of picking 1 m and 2 t when three letters picked without replacement from xnxbbmttxnbnztn. Conclusion: 3/455 Puzzle: Three letters picked without replacement from sqmssbbmsqbsbosbsqb. What is prob of picking 2 s and 1 o? Conclusion: 7/323 Puzzle: Calculate prob of picking 3 q when three letters picked without replacement from {q: 4, b: 1, z: 1, h: 4, w: 3, u
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measurement: time ----------------- Problem: How many minutes are there between 2:02 PM and 10:46 PM? Output: 524 Problem: How many minutes are there between 4:00 AM and 9:15 AM? Output: 315 Problem: What is 710 minutes before 7:52 AM? Output: 8:02 PM Problem: What is 646 minutes before 3:25 AM? Output: 4:39 PM Problem: How many minutes are there between 12:27 AM and 2:11 AM? Output: 104 Problem: How many minutes are there between 2:42 AM and 7:52 AM? Output: 310 Problem: What is 235 minutes after 11:02 AM? Output: 2:57 PM Problem: How many minutes are there between 10:31 AM and 9:05 PM? Output: 634 Problem: How many minutes are there between 5:57 PM and 1:44 AM? Output: 467 Problem: How many minutes are there between 9:23 AM and 12:24 PM? Output: 181 Problem: How many minutes are there between 9:17 AM and 10:33 AM? Output: 76 Problem: How many minutes are there between 6:45 AM and 6:51 AM? Output: 6 Problem: What is 525 minutes before 6:21 AM? Output: 9:36 PM Problem: What is 661 minutes before 8:21 AM? Output: 9:20 PM Problem: How many minutes are there between 8:39 AM and 9:19 AM? Output: 40 Problem: What is 175 minutes after 7:00 AM? Output: 9:55 AM Problem: What is 582 minutes before 8:29 PM? Output: 10:47 AM Problem: What is 62 minutes after 3:22 PM? Output: 4:24 PM Problem: What is 317 minutes after 10:05 PM? Output: 3:22 AM Problem: How many minutes are there between 2:21 PM and 6:55 PM? Output: 274 Problem: What is 445 minutes before 10:48 PM? Output: 3:23 PM Problem: What is 508 minutes before 4:57 AM? Output: 8:29 PM Problem: What is 388 minutes before 6:49 AM? Output: 12:21 AM Problem: How many minutes are there between 6:41 PM and 12:04 AM? Output: 323 Problem: How many minutes are there between 10:34 AM and 2:46 PM? Output: 252 Problem: What is 117 minutes after 8:07 PM? Output: 10:04 PM Problem: What is 293 minutes before 6:18 AM? Output: 1:25 AM Problem: What is 266 minutes after 7:17 PM? Output: 11:43 PM Problem: How many minutes are there between 3
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numbers: div remainder ---------------------- Scenario: What is the remainder when 9382016 is divided by 25564? Derivation: 28 Scenario: What is the remainder when 42 is divided by 34? Derivation: 8 Scenario: What is the remainder when 363838 is divided by 90842? Derivation: 470 Scenario: What is the remainder when 322 is divided by 58? Derivation: 32 Scenario: What is the remainder when 180157 is divided by 45021? Derivation: 73 Scenario: What is the remainder when 1773521 is divided by 306? Derivation: 251 Scenario: What is the remainder when 2353767 is divided by 187? Derivation: 185 Scenario: What is the remainder when 564896 is divided by 166? Derivation: 164 Scenario: Calculate the remainder when 736 is divided by 181. Derivation: 12 Scenario: Calculate the remainder when 435 is divided by 73. Derivation: 70 Scenario: Calculate the remainder when 297 is divided by 61. Derivation: 53 Scenario: What is the remainder when 240635 is divided by 8539? Derivation: 1543 Scenario: What is the remainder when 385877 is divided by 2270? Derivation: 2247 Scenario: Calculate the remainder when 3662 is divided by 531. Derivation: 476 Scenario: Calculate the remainder when 218 is divided by 142. Derivation: 76 Scenario: Calculate the remainder when 179 is divided by 20. Derivation: 19 Scenario: What is the remainder when 266238 is divided by 133110? Derivation: 18 Scenario: Calculate the remainder when 97517936 is divided by 2405. Derivation: 2401 Scenario: Calculate the remainder when 348889494 is divided by 620. Derivation: 614 Scenario: What is the remainder when 2957 is divided by 2552? Derivation: 405 Scenario: What is the remainder when 400561 is divided by 133495? Derivation: 76 Scenario: Calculate the remainder when 6447 is divided by 646. Derivation: 633 Scenario: What is the remainder when 220 is divided by 112? Derivation: 108 Scenario: What is the remainder when 951105 is divided by 2072? Derivation: 57 Scenario: Calculate the remainder when 94593 is divided by 28
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numbers: is prime ----------------- Task: Is 66142183 a composite number? Answer: False Task: Is 4670477 prime? Answer: False Task: Is 46162 prime? Answer: False Task: Is 27533228845 a prime number? Answer: False Task: Is 505811 composite? Answer: False Task: Is 135103 a prime number? Answer: False Task: Is 32313080561 prime? Answer: False Task: Is 46189027 a composite number? Answer: True Task: Is 473771 a prime number? Answer: False Task: Is 29905 prime? Answer: False Task: Is 205635389 a composite number? Answer: True Task: Is 2462102579 a prime number? Answer: True Task: Is 291399313 composite? Answer: True Task: Is 8684861 composite? Answer: False Task: Is 35616011 a prime number? Answer: False Task: Is 413098913 a composite number? Answer: True Task: Is 708632891 prime? Answer: True Task: Is 743203 a prime number? Answer: True Task: Is 303673 a composite number? Answer: True Task: Is 298604411 a prime number? Answer: False Task: Is 5791 prime? Answer: True Task: Is 2351 composite? Answer: False Task: Is 8251 a composite number? Answer: True Task: Is 51763021 composite? Answer: True Task: Is 51027338429 a prime number? Answer: False Task: Is 5359 composite? Answer: True Task: Is 239377787 composite? Answer: True Task: Is 1249 a prime number? Answer: True Task: Is 717334 prime? Answer: False Task: Is 1345563541 a prime number? Answer: False Task: Is 1157791 a prime number? Answer: True Task: Is 3695687 a composite number? Answer: False Task: Is 28197265313 composite? Answer: True Task: Is 139709342 composite? Answer: True Task: Is 633645011 a composite number? Answer: False Task: Is 37002477107 a prime number? Answer: False Task: Is 56939 composite? Answer: True Task: Is 741021 a prime number? Answer: False Task: Is 230809 composite? Answer: True Task: Is 325519 prime? Answer: False Task: Is 921 a prime number? Answer: False Task: Is 4641869 a composite number? Answer: True Task: Is 32271703 composite? Answer: False Task: Is 698521969 a prime number? Answer: Tru
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probability: swr p level set ---------------------------- Subject: Two letters picked without replacement from xxrnffxxfxbnffnxf. What is prob of picking 1 b and 1 r? Answer: 1/136 Subject: What is prob of picking 1 r and 1 b when two letters picked without replacement from rrbbbbbb? Answer: 3/7 Subject: Four letters picked without replacement from nncnnc. What is prob of picking 1 c and 3 n? Answer: 8/15 Subject: Calculate prob of picking 1 v and 3 m when four letters picked without replacement from vvvvvvmvvmmmmmmmvmv. Answer: 70/323 Subject: Calculate prob of picking 2 j when two letters picked without replacement from {w: 2, j: 10}. Answer: 15/22 Subject: Two letters picked without replacement from ivuhhihh. Give prob of picking 1 i and 1 u. Answer: 1/14 Subject: Two letters picked without replacement from cuheh. Give prob of picking 1 u and 1 e. Answer: 1/10 Subject: What is prob of picking 1 j and 1 t when two letters picked without replacement from utujuuuuu? Answer: 1/36 Subject: What is prob of picking 1 v, 1 s, 1 o, and 1 q when four letters picked without replacement from sssvmqqqssvqsvmvoosv? Answer: 56/969 Subject: Calculate prob of picking 4 x when four letters picked without replacement from nnnxxxnnxnxxx. Answer: 7/143 Subject: Two letters picked without replacement from {k: 1, l: 3, x: 3, d: 1, f: 2}. What is prob of picking 1 d and 1 x? Answer: 1/15 Subject: Three letters picked without replacement from zrddr. Give prob of picking 2 r and 1 z. Answer: 1/10 Subject: Three letters picked without replacement from ydujquyquqy. Give prob of picking 1 y, 1 d, and 1 q. Answer: 3/55 Subject: What is prob of picking 2 g when two letters picked without replacement from ffggfggffff? Answer: 6/55 Subject: What is prob of picking 1 c and 1 x when two letters picked without replacement from {s: 1, x: 1, c: 4, i: 7}? Answer: 2/39 Subject: What is prob of picking 1 w, 1 k, and 1 a when three letters picked without replacement from {z: 1, k: 1, d: 5, g: 2, w: 3, a:
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numbers: place value -------------------- Task: What is the tens digit of 11285636? Response: 3 Task: What is the units digit of 84? Response: 4 Task: What is the thousands digit of 1808987050? Response: 7 Task: What is the thousands digit of 311149781? Response: 9 Task: What is the units digit of 2095? Response: 5 Task: What is the thousands digit of 4876? Response: 4 Task: What is the ten thousands digit of 29644514? Response: 4 Task: What is the hundred thousands digit of 7118421? Response: 1 Task: What is the thousands digit of 1804? Response: 1 Task: What is the units digit of 30063? Response: 3 Task: What is the tens digit of 21410? Response: 1 Task: What is the tens digit of 833? Response: 3 Task: What is the hundred thousands digit of 37552996? Response: 5 Task: What is the ten thousands digit of 391212? Response: 9 Task: What is the hundred thousands digit of 10048874? Response: 0 Task: What is the hundred thousands digit of 179153? Response: 1 Task: What is the ten millions digit of 132266997? Response: 3 Task: What is the hundreds digit of 35823? Response: 8 Task: What is the units digit of 43071? Response: 1 Task: What is the hundreds digit of 2494? Response: 4 Task: What is the hundred thousands digit of 2097519? Response: 0 Task: What is the millions digit of 400570962? Response: 0 Task: What is the units digit of 348? Response: 8 Task: What is the tens digit of 1174592? Response: 9 Task: What is the hundred millions digit of 133283046? Response: 1 Task: What is the millions digit of 1060774292? Response: 0 Task: What is the ten thousands digit of 20390072? Response: 9 Task: What is the hundreds digit of 5485199956? Response: 9 Task: What is the thousands digit of 2340? Response: 2 Task: What is the tens digit of 1636674477? Response: 7 Task: What is the millions digit of 335541073? Response: 5 Task: What is the thousands digit of 183709102? Response: 9 Task: What is the tens digit of 2245502? Response: 0 Task: What is the thousands digit of 102549? Re
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numbers: place value -------------------- Ask: What is the millions digit of 346014418? Sol: 6 Ask: What is the ten thousands digit of 510883? Sol: 1 Ask: What is the thousands digit of 920410616? Sol: 0 Ask: What is the units digit of 1465? Sol: 5 Ask: What is the tens digit of 2967830? Sol: 3 Ask: What is the thousands digit of 55091? Sol: 5 Ask: What is the tens digit of 23132966? Sol: 6 Ask: What is the millions digit of 1880529164? Sol: 0 Ask: What is the tens digit of 193309? Sol: 0 Ask: What is the thousands digit of 189810? Sol: 9 Ask: What is the units digit of 2537? Sol: 7 Ask: What is the hundreds digit of 4260038? Sol: 0 Ask: What is the ten thousands digit of 24492? Sol: 2 Ask: What is the tens digit of 5437643? Sol: 4 Ask: What is the tens digit of 4855450689? Sol: 8 Ask: What is the hundred thousands digit of 58775475? Sol: 7 Ask: What is the thousands digit of 7135? Sol: 7 Ask: What is the hundreds digit of 78291? Sol: 2 Ask: What is the hundred thousands digit of 273753689? Sol: 7 Ask: What is the tens digit of 1049? Sol: 4 Ask: What is the thousands digit of 97021? Sol: 7 Ask: What is the thousands digit of 3651? Sol: 3 Ask: What is the thousands digit of 11091? Sol: 1 Ask: What is the tens digit of 546196? Sol: 9 Ask: What is the thousands digit of 21017021? Sol: 7 Ask: What is the hundred millions digit of 525884316? Sol: 5 Ask: What is the units digit of 154959? Sol: 9 Ask: What is the thousands digit of 201258? Sol: 1 Ask: What is the hundreds digit of 39890745? Sol: 7 Ask: What is the millions digit of 2014738560? Sol: 4 Ask: What is the ten thousands digit of 791747? Sol: 9 Ask: What is the thousands digit of 3850? Sol: 3 Ask: What is the tens digit of 22322929? Sol: 2 Ask: What is the millions digit of 4212273? Sol: 4 Ask: What is the ten thousands digit of 55931? Sol: 5 Ask: What is the tens digit of 258721787? Sol: 8 Ask: What is the tens digit of 9501? Sol: 0 Ask: What is the tens digit of 429874? Sol: 7 Ask: What is the hundred millions
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numbers: gcd ------------ Task: What is the greatest common factor of 1860 and 498015? Workthrough: 465 Task: Calculate the greatest common factor of 68 and 16166674. Workthrough: 2 Task: What is the highest common divisor of 252 and 364? Workthrough: 28 Task: What is the highest common factor of 20 and 50780? Workthrough: 20 Task: What is the greatest common factor of 230 and 50? Workthrough: 10 Task: What is the greatest common divisor of 6 and 6782442? Workthrough: 6 Task: Calculate the highest common divisor of 3948 and 21. Workthrough: 21 Task: Calculate the greatest common factor of 14 and 63. Workthrough: 7 Task: Calculate the greatest common factor of 1926 and 282. Workthrough: 6 Task: What is the greatest common factor of 78 and 2964? Workthrough: 78 Task: What is the greatest common factor of 786 and 202435348? Workthrough: 262 Task: What is the greatest common factor of 87 and 261? Workthrough: 87 Task: What is the greatest common divisor of 12311 and 556543? Workthrough: 13 Task: What is the highest common divisor of 4344516 and 11340? Workthrough: 324 Task: What is the greatest common divisor of 1520841 and 3171? Workthrough: 21 Task: What is the greatest common divisor of 128 and 23488544? Workthrough: 32 Task: Calculate the greatest common divisor of 2 and 314. Workthrough: 2 Task: Calculate the highest common divisor of 1559 and 17076. Workthrough: 1 Task: Calculate the highest common factor of 1295 and 2348871. Workthrough: 259 Task: What is the highest common divisor of 149245 and 855? Workthrough: 95 Task: What is the highest common factor of 35 and 338940? Workthrough: 35 Task: What is the highest common divisor of 4 and 118? Workthrough: 2 Task: Calculate the greatest common divisor of 124 and 274412. Workthrough: 124 Task: Calculate the highest common factor of 18000 and 810720. Workthrough: 720 Task: What is the greatest common divisor of 2 and 4? Workthrough: 2 Task: Calculate the highest common factor of 646801 and 1495313. Workthrough: 947
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probability: swr p sequence --------------------------- Query: Four letters picked without replacement from uzzzzaaazzuazaz. What is prob of sequence zauz? Thus: 2/117 Query: Three letters picked without replacement from uvtwdcttvvtvuvd. Give prob of sequence utd. Thus: 8/1365 Query: Two letters picked without replacement from ekeke. What is prob of sequence ee? Thus: 3/10 Query: Calculate prob of sequence gl when two letters picked without replacement from {l: 2, m: 1, s: 4, g: 1, y: 2, j: 2}. Thus: 1/66 Query: Calculate prob of sequence cs when two letters picked without replacement from vrsscc. Thus: 2/15 Query: Three letters picked without replacement from iittit. Give prob of sequence tii. Thus: 3/20 Query: Three letters picked without replacement from {n: 9, c: 3}. What is prob of sequence nnc? Thus: 9/55 Query: Three letters picked without replacement from {i: 5}. Give prob of sequence iii. Thus: 1 Query: What is prob of sequence pu when two letters picked without replacement from ovududvudroovpodu? Thus: 1/68 Query: Three letters picked without replacement from {p: 2, o: 5, r: 3}. What is prob of sequence rrr? Thus: 1/120 Query: Two letters picked without replacement from yiyiiiy. What is prob of sequence iy? Thus: 2/7 Query: What is prob of sequence rzr when three letters picked without replacement from {f: 1, z: 4, r: 8}? Thus: 56/429 Query: What is prob of sequence gu when two letters picked without replacement from {g: 2, u: 1, y: 1, n: 1}? Thus: 1/10 Query: What is prob of sequence vg when two letters picked without replacement from {v: 3, g: 17}? Thus: 51/380 Query: Calculate prob of sequence fm when two letters picked without replacement from ppppqpppffmpuppm. Thus: 1/60 Query: Two letters picked without replacement from {c: 2, i: 2, p: 1}. What is prob of sequence ci? Thus: 1/5 Query: Calculate prob of sequence ff when two letters picked without replacement from fommffffffrfmofoffmf. Thus: 33/95 Query: Two letters picked without replacement from vucc
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arithmetic: nearest integer root -------------------------------- Given: What is the seventh root of 11964 to the nearest integer? Final Answer: 4 Given: What is the third root of 7023 to the nearest integer? Final Answer: 19 Given: What is the ninth root of 133814 to the nearest integer? Final Answer: 4 Given: What is the third root of 1436 to the nearest integer? Final Answer: 11 Given: What is the third root of 8722365 to the nearest integer? Final Answer: 206 Given: What is 452872248 to the power of 1/3, to the nearest integer? Final Answer: 768 Given: What is 10639 to the power of 1/3, to the nearest integer? Final Answer: 22 Given: What is the square root of 128326524 to the nearest integer? Final Answer: 11328 Given: What is the square root of 276 to the nearest integer? Final Answer: 17 Given: What is the cube root of 25186 to the nearest integer? Final Answer: 29 Given: What is the cube root of 1257 to the nearest integer? Final Answer: 11 Given: What is 125644 to the power of 1/2, to the nearest integer? Final Answer: 354 Given: What is 468377609 to the power of 1/2, to the nearest integer? Final Answer: 21642 Given: What is 320 to the power of 1/3, to the nearest integer? Final Answer: 7 Given: What is the cube root of 435 to the nearest integer? Final Answer: 8 Given: What is the tenth root of 17316190 to the nearest integer? Final Answer: 5 Given: What is 363 to the power of 1/2, to the nearest integer? Final Answer: 19 Given: What is 101329183 to the power of 1/2, to the nearest integer? Final Answer: 10066 Given: What is the fifth root of 3057 to the nearest integer? Final Answer: 5 Given: What is 523494053 to the power of 1/2, to the nearest integer? Final Answer: 22880 Given: What is the sixth root of 1225594 to the nearest integer? Final Answer: 10 Given: What is the third root of 2544421 to the nearest integer? Final Answer: 137 Given: What is the eighth root of 1453 to the nearest integer? Final Answer: 2 Given: What is the sixth root of 5533378
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arithmetic: nearest integer root -------------------------------- Example: What is 11193 to the power of 1/3, to the nearest integer? Solution: 22 Example: What is 850522569 to the power of 1/2, to the nearest integer? Solution: 29164 Example: What is the cube root of 894928 to the nearest integer? Solution: 96 Example: What is 172535042 to the power of 1/2, to the nearest integer? Solution: 13135 Example: What is the cube root of 388125 to the nearest integer? Solution: 73 Example: What is the third root of 2424062648 to the nearest integer? Solution: 1343 Example: What is the cube root of 397968196 to the nearest integer? Solution: 736 Example: What is the fifth root of 677588 to the nearest integer? Solution: 15 Example: What is 908161954 to the power of 1/5, to the nearest integer? Solution: 62 Example: What is 203703 to the power of 1/3, to the nearest integer? Solution: 59 Example: What is the square root of 891252 to the nearest integer? Solution: 944 Example: What is the third root of 492593 to the nearest integer? Solution: 79 Example: What is the third root of 417 to the nearest integer? Solution: 7 Example: What is the fifth root of 1598728661 to the nearest integer? Solution: 69 Example: What is the cube root of 13997955 to the nearest integer? Solution: 241 Example: What is the fifth root of 190629 to the nearest integer? Solution: 11 Example: What is 70988284 to the power of 1/9, to the nearest integer? Solution: 7 Example: What is the square root of 2277986 to the nearest integer? Solution: 1509 Example: What is the fifth root of 137636 to the nearest integer? Solution: 11 Example: What is 29203446 to the power of 1/3, to the nearest integer? Solution: 308 Example: What is the eighth root of 9329020 to the nearest integer? Solution: 7 Example: What is the third root of 335904 to the nearest integer? Solution: 70 Example: What is 80842782 to the power of 1/2, to the nearest integer? Solution: 8991 Example: What is 615650 to the power of 1/2, to the nea
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numbers: is prime ----------------- Problem #: Is 2517317 composite? Solution: True Problem #: Is 31247122861 a prime number? Solution: True Problem #: Is 93043173 prime? Solution: False Problem #: Is 23215 prime? Solution: False Problem #: Is 482437 composite? Solution: False Problem #: Is 122921 a prime number? Solution: True Problem #: Is 580877 prime? Solution: False Problem #: Is 72587 prime? Solution: False Problem #: Is 1224914585 a composite number? Solution: True Problem #: Is 569369 a composite number? Solution: False Problem #: Is 87564793 a prime number? Solution: True Problem #: Is 759294119 prime? Solution: False Problem #: Is 319329307 composite? Solution: True Problem #: Is 3864095069 a composite number? Solution: False Problem #: Is 252208694 composite? Solution: True Problem #: Is 24759511 a composite number? Solution: True Problem #: Is 859943 a composite number? Solution: True Problem #: Is 2072621 a prime number? Solution: False Problem #: Is 26767891 prime? Solution: True Problem #: Is 39257 a composite number? Solution: True Problem #: Is 11241133 a prime number? Solution: True Problem #: Is 682936433 a composite number? Solution: True Problem #: Is 405157 composite? Solution: False Problem #: Is 2575017911 composite? Solution: True Problem #: Is 1215121951 a prime number? Solution: True Problem #: Is 225836993 composite? Solution: True Problem #: Is 412285 composite? Solution: True Problem #: Is 2211670367 composite? Solution: False Problem #: Is 59600477 a composite number? Solution: True Problem #: Is 357377 prime? Solution: True Problem #: Is 381874219 composite? Solution: False Problem #: Is 8148149 a prime number? Solution: False Problem #: Is 95649479 prime? Solution: False Problem #: Is 431696477 a composite number? Solution: True Problem #: Is 11545003243 a prime number? Solution: True Problem #: Is 26329 a composite number? Solution: True Problem #: Is 12659 a composite number? Solution: False Problem #: Is 90011 composite? Solution:
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numbers: gcd ------------ Q=: Calculate the highest common factor of 245 and 30. Soln: 5 Q=: What is the highest common divisor of 10314 and 148014? Soln: 54 Q=: Calculate the greatest common factor of 7664252 and 1912. Soln: 956 Q=: Calculate the greatest common factor of 55 and 65. Soln: 5 Q=: What is the greatest common divisor of 4004 and 26? Soln: 26 Q=: What is the highest common factor of 6864 and 2028? Soln: 156 Q=: Calculate the highest common divisor of 290760212 and 12. Soln: 4 Q=: What is the greatest common factor of 5550 and 80771? Soln: 37 Q=: What is the highest common factor of 462906 and 18? Soln: 18 Q=: Calculate the highest common factor of 1040 and 32. Soln: 16 Q=: Calculate the highest common factor of 5 and 46. Soln: 1 Q=: Calculate the highest common divisor of 28712 and 140456. Soln: 776 Q=: Calculate the highest common factor of 87 and 6. Soln: 3 Q=: What is the greatest common divisor of 272 and 48? Soln: 16 Q=: What is the greatest common divisor of 90 and 7170? Soln: 30 Q=: What is the highest common divisor of 28 and 644? Soln: 28 Q=: What is the greatest common divisor of 48 and 80594574? Soln: 6 Q=: Calculate the highest common divisor of 241960 and 40580. Soln: 20 Q=: What is the highest common factor of 1561 and 49? Soln: 7 Q=: Calculate the highest common factor of 882 and 644994. Soln: 126 Q=: What is the greatest common factor of 1008 and 35288400? Soln: 336 Q=: What is the greatest common divisor of 120 and 122080? Soln: 40 Q=: Calculate the highest common factor of 2285 and 55. Soln: 5 Q=: What is the greatest common factor of 54038 and 410? Soln: 82 Q=: Calculate the greatest common divisor of 1924 and 12802. Soln: 74 Q=: What is the greatest common divisor of 6 and 294? Soln: 6 Q=: What is the highest common divisor of 183300 and 540? Soln: 60 Q=: Calculate the greatest common factor of 969654 and 2625. Soln: 21 Q=: Calculate the greatest common divisor of 4596 and 21792. Soln: 12 Q=: What is the highest common divisor of 16
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measurement: time ----------------- Part A: How many minutes are there between 9:51 AM and 1:57 PM? Sol: 246 Part A: What is 39 minutes after 7:03 PM? Sol: 7:42 PM Part A: How many minutes are there between 9:34 AM and 8:46 PM? Sol: 672 Part A: How many minutes are there between 2:48 AM and 11:12 AM? Sol: 504 Part A: How many minutes are there between 12:17 PM and 11:47 PM? Sol: 690 Part A: How many minutes are there between 11:44 AM and 12:03 PM? Sol: 19 Part A: How many minutes are there between 1:40 AM and 2:20 AM? Sol: 40 Part A: How many minutes are there between 8:41 AM and 7:25 PM? Sol: 644 Part A: What is 353 minutes after 1:37 AM? Sol: 7:30 AM Part A: What is 609 minutes after 8:40 AM? Sol: 6:49 PM Part A: What is 582 minutes before 1:46 AM? Sol: 4:04 PM Part A: What is 446 minutes before 12:45 PM? Sol: 5:19 AM Part A: How many minutes are there between 2:30 AM and 5:08 AM? Sol: 158 Part A: How many minutes are there between 6:20 AM and 7:10 AM? Sol: 50 Part A: What is 323 minutes before 10:21 AM? Sol: 4:58 AM Part A: How many minutes are there between 1:02 AM and 12:48 PM? Sol: 706 Part A: What is 592 minutes before 9:34 PM? Sol: 11:42 AM Part A: How many minutes are there between 4:29 AM and 3:13 PM? Sol: 644 Part A: How many minutes are there between 4:28 PM and 8:42 PM? Sol: 254 Part A: What is 466 minutes before 2:13 PM? Sol: 6:27 AM Part A: What is 167 minutes before 8:01 AM? Sol: 5:14 AM Part A: What is 678 minutes after 12:35 PM? Sol: 11:53 PM Part A: What is 665 minutes before 10:15 PM? Sol: 11:10 AM Part A: What is 678 minutes before 6:22 AM? Sol: 7:04 PM Part A: How many minutes are there between 10:58 AM and 2:20 PM? Sol: 202 Part A: What is 165 minutes before 2:13 AM? Sol: 11:28 PM Part A: How many minutes are there between 4:36 PM and 12:30 AM? Sol: 474 Part A: What is 691 minutes before 12:34 PM? Sol: 1:03 AM Part A: How many minutes are there between 3:37 AM and 12:54 PM? Sol: 557 Part A: What is 91 minutes before 2:20 PM? Sol: 12:49 PM Part
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probability: swr p level set ---------------------------- Q.: What is prob of picking 3 m when three letters picked without replacement from wwwmmwwwwwwwwwwmmw? A: 1/204 Q.: Two letters picked without replacement from hhhlhhvlhvh. Give prob of picking 2 h. A: 21/55 Q.: What is prob of picking 2 m when two letters picked without replacement from {t: 18, m: 2}? A: 1/190 Q.: Two letters picked without replacement from {e: 2, v: 3, f: 1, z: 1, u: 6}. Give prob of picking 2 v. A: 1/26 Q.: Three letters picked without replacement from {o: 1, d: 1, f: 1, g: 1, m: 1}. Give prob of picking 1 f, 1 o, and 1 d. A: 1/10 Q.: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {w: 1, k: 2, f: 1, y: 2, s: 1, q: 1}. A: 1/14 Q.: Calculate prob of picking 3 u and 1 n when four letters picked without replacement from {u: 3, n: 4, x: 2}. A: 2/63 Q.: Three letters picked without replacement from {e: 2, y: 2, p: 1, f: 1, z: 1, q: 1}. Give prob of picking 1 p, 1 y, and 1 e. A: 1/14 Q.: What is prob of picking 1 l, 1 j, and 2 f when four letters picked without replacement from {f: 2, d: 1, i: 2, c: 1, l: 4, j: 2}? A: 8/495 Q.: What is prob of picking 1 g and 1 y when two letters picked without replacement from {y: 13, g: 6}? A: 26/57 Q.: Calculate prob of picking 3 e and 1 x when four letters picked without replacement from exxexexeeexeeeeeeeee. A: 455/969 Q.: Calculate prob of picking 1 v, 1 o, and 1 i when three letters picked without replacement from vrtitptopvrviv. A: 2/91 Q.: What is prob of picking 1 e, 1 g, and 1 o when three letters picked without replacement from odwedweoooobwwwg? A: 1/56 Q.: Two letters picked without replacement from {v: 1, a: 2, n: 8, j: 4}. Give prob of picking 1 n and 1 j. A: 32/105 Q.: Calculate prob of picking 3 w when three letters picked without replacement from {d: 12, y: 1, w: 3}. A: 1/560 Q.: What is prob of picking 1 i, 1 y, and 1 a when three letters picked without replacement from {w: 3, a: 3, y: 1, e: 2, i: 2, h: 7
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measurement: conversion ----------------------- Challenge: How many kilograms are there in 6/25 of a tonne? Outcome: 240 Challenge: How many years are there in twenty-five quarters of a millennium? Outcome: 6250 Challenge: What is 12701.31 litres in millilitres? Outcome: 12701310 Challenge: What is 0.5575597m in nanometers? Outcome: 557559700 Challenge: What is 468.777708 minutes in weeks? Outcome: 0.046505725 Challenge: What is 11/4 of a centimeter in micrometers? Outcome: 27500 Challenge: What is 21/4 of a litre in millilitres? Outcome: 5250 Challenge: How many decades are there in 46.41073 millennia? Outcome: 4641.073 Challenge: How many micrometers are there in 914.619 millimeters? Outcome: 914619 Challenge: How many years are there in twenty-five halves of a decade? Outcome: 125 Challenge: Convert 277.4531 kilograms to nanograms. Outcome: 277453100000000 Challenge: What is 25/4 of a decade in months? Outcome: 750 Challenge: What is 1438.531 micrometers in nanometers? Outcome: 1438531 Challenge: How many hours are there in 11/2 of a day? Outcome: 132 Challenge: What is 29/3 of a day in minutes? Outcome: 13920 Challenge: How many micrograms are there in 53/4 of a milligram? Outcome: 13250 Challenge: What is 53/4 of a decade in months? Outcome: 1590 Challenge: Convert 0.4134034ug to nanograms. Outcome: 413.4034 Challenge: How many weeks are there in 6878.6599 days? Outcome: 982.6657 Challenge: How many nanograms are there in 71/5 of a microgram? Outcome: 14200 Challenge: Convert 985.7308 decades to millennia. Outcome: 9.857308 Challenge: Convert 91.0149s to microseconds. Outcome: 91014900 Challenge: How many decades are there in 1052.5404 months? Outcome: 8.77117 Challenge: How many months are there in eighteen fifths of a decade? Outcome: 432 Challenge: Convert 562.1417 centuries to decades. Outcome: 5621.417 Challenge: How many months are there in seven thirds of a century? Outcome: 2800 Challenge: How many micrometers are there in 21/4 of a millimeter? Outcome:
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numbers: is factor ------------------ Issue: Does 75 divide 158873328? Clarification: False Issue: Is 29 a factor of 812? Clarification: True Issue: Is 64904 even? Clarification: True Issue: Is 437801 a multiple of 5? Clarification: False Issue: Does 1574 divide 880072373? Clarification: False Issue: Is 871373 a multiple of 8? Clarification: False Issue: Is 66 a factor of 9702? Clarification: True Issue: Is 25 a factor of 1080517268? Clarification: False Issue: Is 117 a factor of 6827284? Clarification: False Issue: Is 18 a factor of 23349996? Clarification: True Issue: Is 24394326 a multiple of 66? Clarification: True Issue: Is 7824 a multiple of 163? Clarification: True Issue: Is 19085 a multiple of 9? Clarification: False Issue: Is 4 a factor of 17132? Clarification: True Issue: Is 159 a factor of 539736849? Clarification: False Issue: Does 809 divide 4687069? Clarification: False Issue: Is 130 a multiple of 26? Clarification: True Issue: Is 60 a factor of 9817? Clarification: False Issue: Is 12910 a multiple of 24? Clarification: False Issue: Is 137 a factor of 466462258? Clarification: True Issue: Does 86 divide 484008? Clarification: True Issue: Does 52 divide 14404? Clarification: True Issue: Does 10 divide 9440? Clarification: True Issue: Is 40 a multiple of 14? Clarification: False Issue: Is 27 a factor of 454? Clarification: False Issue: Is 2163288 a multiple of 6? Clarification: True Issue: Does 7 divide 1162? Clarification: True Issue: Does 469 divide 1301142479? Clarification: True Issue: Is 51 a factor of 3638? Clarification: False Issue: Does 16 divide 15759968? Clarification: True Issue: Is 32 a factor of 397765? Clarification: False Issue: Is 93 a factor of 672828681? Clarification: True Issue: Is 79477702 a multiple of 1681? Clarification: False Issue: Does 74 divide 51874? Clarification: True Issue: Is 6190984 a multiple of 73? Clarification: True Issue: Is 205 a factor of 786556? Clarification: False Issue: Is 10 a factor of 84015? Clarification:
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measurement: conversion ----------------------- Q: What is eighteen fifths of a millimeter in micrometers? Result: 3600 Q: How many millilitres are there in seven quarters of a litre? Result: 1750 Q: What is 59899.63 weeks in nanoseconds? Result: 36227296224000000000 Q: What is fifty-nine fifths of a millisecond in microseconds? Result: 11800 Q: How many meters are there in 27.47933 nanometers? Result: 0.00000002747933 Q: Convert 27940.263 months to centuries. Result: 23.2835525 Q: How many seconds are there in 4405.499 hours? Result: 15859796.4 Q: How many millilitres are there in 13/4 of a litre? Result: 3250 Q: How many litres are there in 11.15829ml? Result: 0.01115829 Q: How many months are there in 9/25 of a century? Result: 432 Q: What is one sixth of a decade in months? Result: 20 Q: What is 0.284834 millilitres in litres? Result: 0.000284834 Q: How many micrograms are there in thirty-one halves of a milligram? Result: 15500 Q: How many months are there in 41/6 of a millennium? Result: 82000 Q: How many months are there in 3/8 of a century? Result: 450 Q: Convert 30.04371ns to minutes. Result: 0.0000000005007285 Q: What is 11/10 of a millimeter in micrometers? Result: 1100 Q: What is 26/5 of a litre in millilitres? Result: 5200 Q: How many days are there in 2871.6741 minutes? Result: 1.994218125 Q: Convert 13.15507 micrograms to milligrams. Result: 0.01315507 Q: How many millilitres are there in 73/4 of a litre? Result: 18250 Q: How many decades are there in fifty-one halves of a century? Result: 255 Q: Convert 12750.51 months to millennia. Result: 1.0625425 Q: What is 55/2 of a litre in millilitres? Result: 27500 Q: How many nanograms are there in 46/5 of a microgram? Result: 9200 Q: Convert 716.493 decades to centuries. Result: 71.6493 Q: What is 0.392374cm in nanometers? Result: 3923740 Q: What is 3/8 of a centimeter in micrometers? Result: 3750 Q: What is thirteen fifths of a milligram in micrograms? Result: 2600 Q: Convert 5473.382 hours to milliseconds
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numbers: div remainder ---------------------- Example: What is the remainder when 2521419 is divided by 26? Final Answer: 17 Example: Calculate the remainder when 1197 is divided by 301. Final Answer: 294 Example: Calculate the remainder when 6853 is divided by 316. Final Answer: 217 Example: What is the remainder when 1900 is divided by 129? Final Answer: 94 Example: What is the remainder when 335196 is divided by 4286? Final Answer: 888 Example: What is the remainder when 3758121 is divided by 1591? Final Answer: 179 Example: What is the remainder when 922 is divided by 11? Final Answer: 9 Example: Calculate the remainder when 1524031 is divided by 8197. Final Answer: 7586 Example: What is the remainder when 30932 is divided by 3436? Final Answer: 8 Example: What is the remainder when 36310885 is divided by 282? Final Answer: 1 Example: What is the remainder when 208 is divided by 101? Final Answer: 6 Example: What is the remainder when 383 is divided by 16? Final Answer: 15 Example: Calculate the remainder when 60653 is divided by 3864. Final Answer: 2693 Example: Calculate the remainder when 668814 is divided by 97. Final Answer: 96 Example: What is the remainder when 1188 is divided by 53? Final Answer: 22 Example: What is the remainder when 6861 is divided by 24? Final Answer: 21 Example: What is the remainder when 11316 is divided by 2633? Final Answer: 784 Example: Calculate the remainder when 101 is divided by 16. Final Answer: 5 Example: Calculate the remainder when 4599 is divided by 555. Final Answer: 159 Example: What is the remainder when 286007 is divided by 40798? Final Answer: 421 Example: What is the remainder when 21028 is divided by 35? Final Answer: 28 Example: What is the remainder when 8307 is divided by 89? Final Answer: 30 Example: What is the remainder when 323 is divided by 27? Final Answer: 26 Example: Calculate the remainder when 29282 is divided by 290. Final Answer: 282 Example: Calculate the remainder when 484 is divided by 18. Final
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numbers: div remainder ---------------------- Example: Calculate the remainder when 10078 is divided by 360. Eval: 358 Example: Calculate the remainder when 3960273 is divided by 8444. Eval: 37 Example: Calculate the remainder when 453 is divided by 38. Eval: 35 Example: Calculate the remainder when 10410760 is divided by 30002. Eval: 66 Example: Calculate the remainder when 3509 is divided by 18. Eval: 17 Example: What is the remainder when 6590 is divided by 314? Eval: 310 Example: What is the remainder when 288 is divided by 142? Eval: 4 Example: What is the remainder when 174386 is divided by 223? Eval: 0 Example: What is the remainder when 201 is divided by 13? Eval: 6 Example: What is the remainder when 1940819 is divided by 3429? Eval: 5 Example: What is the remainder when 619 is divided by 26? Eval: 21 Example: What is the remainder when 98274 is divided by 520? Eval: 514 Example: What is the remainder when 866042 is divided by 86600? Eval: 42 Example: Calculate the remainder when 351 is divided by 175. Eval: 1 Example: Calculate the remainder when 78806 is divided by 426. Eval: 422 Example: Calculate the remainder when 70303751 is divided by 93. Eval: 29 Example: Calculate the remainder when 123602 is divided by 63. Eval: 59 Example: Calculate the remainder when 32627 is divided by 103. Eval: 79 Example: Calculate the remainder when 6258 is divided by 327. Eval: 45 Example: Calculate the remainder when 17512017 is divided by 972888. Eval: 33 Example: Calculate the remainder when 98 is divided by 28. Eval: 14 Example: Calculate the remainder when 234 is divided by 85. Eval: 64 Example: Calculate the remainder when 118 is divided by 26. Eval: 14 Example: What is the remainder when 133 is divided by 13? Eval: 3 Example: Calculate the remainder when 2338 is divided by 1089. Eval: 160 Example: What is the remainder when 9933 is divided by 1727? Eval: 1298 Example: What is the remainder when 106760 is divided by 12? Eval: 8 Example: What is the remainder when 213
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numbers: is prime ----------------- Problem Statement: Is 17045209 a prime number? A: True Problem Statement: Is 61285143913 a composite number? A: True Problem Statement: Is 24599 a prime number? A: False Problem Statement: Is 298672981 prime? A: True Problem Statement: Is 48043291 prime? A: False Problem Statement: Is 195408167 composite? A: True Problem Statement: Is 696989 a prime number? A: True Problem Statement: Is 26854787 a composite number? A: False Problem Statement: Is 16439 prime? A: False Problem Statement: Is 46544287 a composite number? A: False Problem Statement: Is 293671759 prime? A: True Problem Statement: Is 748465937 composite? A: False Problem Statement: Is 21286345 prime? A: False Problem Statement: Is 2257789 prime? A: False Problem Statement: Is 8371542071 prime? A: True Problem Statement: Is 6852355 prime? A: False Problem Statement: Is 305470403 composite? A: True Problem Statement: Is 2731024171 composite? A: True Problem Statement: Is 104719229 prime? A: False Problem Statement: Is 7250987 a composite number? A: False Problem Statement: Is 53071778327 a composite number? A: True Problem Statement: Is 23678272907 composite? A: False Problem Statement: Is 154855 a prime number? A: False Problem Statement: Is 768467527 prime? A: False Problem Statement: Is 522363 composite? A: True Problem Statement: Is 7433 a composite number? A: False Problem Statement: Is 108269024511 a prime number? A: False Problem Statement: Is 6569306509 a prime number? A: True Problem Statement: Is 2365556059 a prime number? A: True Problem Statement: Is 521210563 a prime number? A: True Problem Statement: Is 83503861 a composite number? A: True Problem Statement: Is 37197431 a composite number? A: False Problem Statement: Is 722327 prime? A: False Problem Statement: Is 36842691631 composite? A: False Problem Statement: Is 42041 composite? A: True Problem Statement: Is 27840233 a composite number? A: False Problem Statement: Is 25573 prime? A: False Problem Stateme
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probability: swr p sequence --------------------------- Problem: Four letters picked without replacement from {q: 3, h: 3, i: 2}. What is prob of sequence hiqh? Eval: 3/140 Problem: Calculate prob of sequence zzwz when four letters picked without replacement from zzwzzzzzwzzzzzw. Eval: 11/91 Problem: Two letters picked without replacement from {k: 4, q: 1, u: 2, y: 1}. What is prob of sequence uk? Eval: 1/7 Problem: Three letters picked without replacement from {v: 6, c: 2, m: 9}. Give prob of sequence cvc. Eval: 1/340 Problem: What is prob of sequence jzj when three letters picked without replacement from {j: 7, z: 12}? Eval: 28/323 Problem: Three letters picked without replacement from jtjjmjtjjjjttj. What is prob of sequence ttj? Eval: 9/182 Problem: Calculate prob of sequence fdn when three letters picked without replacement from {l: 3, g: 1, d: 6, a: 6, n: 1, f: 1}. Eval: 1/816 Problem: What is prob of sequence aaa when three letters picked without replacement from {a: 5, f: 11}? Eval: 1/56 Problem: Four letters picked without replacement from {c: 3, r: 3, s: 3, k: 3}. Give prob of sequence scrc. Eval: 1/220 Problem: Four letters picked without replacement from {c: 9, z: 4, r: 2, a: 4}. What is prob of sequence zzzr? Eval: 1/1938 Problem: Calculate prob of sequence bccg when four letters picked without replacement from cbcgccbgcgbb. Eval: 2/99 Problem: Calculate prob of sequence mmeu when four letters picked without replacement from mpepmmemeupee. Eval: 1/286 Problem: Calculate prob of sequence err when three letters picked without replacement from {e: 2, r: 4}. Eval: 1/5 Problem: What is prob of sequence nx when two letters picked without replacement from {m: 1, x: 2, n: 1, d: 1}? Eval: 1/10 Problem: Calculate prob of sequence mm when two letters picked without replacement from {m: 9, f: 3}. Eval: 6/11 Problem: Calculate prob of sequence mm when two letters picked without replacement from {c: 2, m: 3, q: 2, a: 6}. Eval: 1/26 Problem: Four letters picked withou
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numbers: lcm ------------ Problem #: Calculate the smallest common multiple of 1736 and 104. Derivation: 22568 Problem #: What is the common denominator of 53/16389995 and 18/22945993? Derivation: 114729965 Problem #: Calculate the smallest common multiple of 17372 and 18. Derivation: 156348 Problem #: Find the common denominator of 45/1813 and -103/2590. Derivation: 18130 Problem #: Calculate the common denominator of -105/68 and 4/674461. Derivation: 45863348 Problem #: Calculate the lowest common multiple of 361746 and 696. Derivation: 1446984 Problem #: Calculate the common denominator of 73/24240 and 39/3760. Derivation: 1139280 Problem #: Calculate the smallest common multiple of 261 and 3654. Derivation: 3654 Problem #: Calculate the lowest common multiple of 6 and 24501. Derivation: 49002 Problem #: Calculate the common denominator of -89/18 and 77/7466. Derivation: 67194 Problem #: What is the smallest common multiple of 775 and 3100? Derivation: 3100 Problem #: Calculate the least common multiple of 36 and 1005972. Derivation: 3017916 Problem #: What is the lowest common multiple of 14562990 and 5265? Derivation: 14562990 Problem #: Calculate the common denominator of 77/1065 and 97/20870. Derivation: 4445310 Problem #: Calculate the least common multiple of 48 and 80. Derivation: 240 Problem #: Calculate the lowest common multiple of 996 and 120. Derivation: 9960 Problem #: Calculate the least common multiple of 150 and 14. Derivation: 1050 Problem #: What is the common denominator of -65/58 and -25/608? Derivation: 17632 Problem #: Calculate the common denominator of -82/18684255 and -68/15. Derivation: 18684255 Problem #: Find the common denominator of -69/1400 and 193/36750. Derivation: 147000 Problem #: What is the lowest common multiple of 171 and 21? Derivation: 1197 Problem #: What is the least common multiple of 59878 and 38022530? Derivation: 38022530 Problem #: Calculate the common denominator of -3/28 and 87/56. Derivation: 56 Problem #: What i
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measurement: time ----------------- Qn: What is 296 minutes before 12:05 PM? Answer: 7:09 AM Qn: What is 40 minutes after 3:32 PM? Answer: 4:12 PM Qn: What is 391 minutes before 5:31 PM? Answer: 11:00 AM Qn: What is 714 minutes before 9:38 PM? Answer: 9:44 AM Qn: What is 595 minutes before 5:27 PM? Answer: 7:32 AM Qn: How many minutes are there between 2:39 AM and 3:39 AM? Answer: 60 Qn: How many minutes are there between 11:01 PM and 2:57 AM? Answer: 236 Qn: How many minutes are there between 10:58 AM and 12:00 PM? Answer: 62 Qn: How many minutes are there between 7:02 PM and 11:54 PM? Answer: 292 Qn: How many minutes are there between 9:17 PM and 11:50 PM? Answer: 153 Qn: What is 148 minutes before 9:38 AM? Answer: 7:10 AM Qn: How many minutes are there between 7:57 PM and 6:27 AM? Answer: 630 Qn: How many minutes are there between 11:45 AM and 1:57 PM? Answer: 132 Qn: How many minutes are there between 7:13 AM and 8:15 AM? Answer: 62 Qn: How many minutes are there between 3:02 PM and 7:26 PM? Answer: 264 Qn: What is 283 minutes after 2:16 PM? Answer: 6:59 PM Qn: What is 71 minutes after 7:32 PM? Answer: 8:43 PM Qn: What is 693 minutes after 4:33 AM? Answer: 4:06 PM Qn: What is 153 minutes before 12:29 PM? Answer: 9:56 AM Qn: What is 59 minutes after 10:24 AM? Answer: 11:23 AM Qn: How many minutes are there between 5:26 AM and 5:09 PM? Answer: 703 Qn: How many minutes are there between 10:49 AM and 9:17 PM? Answer: 628 Qn: What is 636 minutes before 12:44 AM? Answer: 2:08 PM Qn: How many minutes are there between 11:43 PM and 4:46 AM? Answer: 303 Qn: How many minutes are there between 4:07 AM and 2:50 PM? Answer: 643 Qn: How many minutes are there between 3:05 AM and 9:19 AM? Answer: 374 Qn: What is 678 minutes before 4:38 AM? Answer: 5:20 PM Qn: What is 453 minutes before 3:37 AM? Answer: 8:04 PM Qn: How many minutes are there between 5:15 PM and 12:43 AM? Answer: 448 Qn: How many minutes are there between 4:54 AM and 11:05 AM? Answer: 371 Qn: How many minutes ar
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arithmetic: nearest integer root -------------------------------- Item: What is the third root of 8400 to the nearest integer? Answer: 20 Item: What is the square root of 2344 to the nearest integer? Answer: 48 Item: What is the tenth root of 6747908684 to the nearest integer? Answer: 10 Item: What is 47115 to the power of 1/2, to the nearest integer? Answer: 217 Item: What is 80812 to the power of 1/2, to the nearest integer? Answer: 284 Item: What is 27360831 to the power of 1/8, to the nearest integer? Answer: 9 Item: What is the third root of 21784 to the nearest integer? Answer: 28 Item: What is 3086854257 to the power of 1/3, to the nearest integer? Answer: 1456 Item: What is the tenth root of 969 to the nearest integer? Answer: 2 Item: What is the third root of 227851688 to the nearest integer? Answer: 611 Item: What is the fifth root of 2401644097 to the nearest integer? Answer: 75 Item: What is the square root of 6695685 to the nearest integer? Answer: 2588 Item: What is 307148 to the power of 1/4, to the nearest integer? Answer: 24 Item: What is 6392537 to the power of 1/8, to the nearest integer? Answer: 7 Item: What is the cube root of 1252 to the nearest integer? Answer: 11 Item: What is the tenth root of 361944037 to the nearest integer? Answer: 7 Item: What is 14285103 to the power of 1/6, to the nearest integer? Answer: 16 Item: What is 24852325 to the power of 1/3, to the nearest integer? Answer: 292 Item: What is the third root of 37654 to the nearest integer? Answer: 34 Item: What is 1762623346 to the power of 1/4, to the nearest integer? Answer: 205 Item: What is the cube root of 410227843 to the nearest integer? Answer: 743 Item: What is the cube root of 28283 to the nearest integer? Answer: 30 Item: What is 7838 to the power of 1/2, to the nearest integer? Answer: 89 Item: What is the third root of 562888 to the nearest integer? Answer: 83 Item: What is the cube root of 728860 to the nearest integer? Answer: 90 Item: What is 7892 to the power o
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probability: swr p sequence --------------------------- Let: Two letters picked without replacement from {w: 4, c: 5, u: 1, r: 2, o: 2}. What is prob of sequence uo? Eval: 1/91 Let: Four letters picked without replacement from vvsjrcv. What is prob of sequence jvcv? Eval: 1/140 Let: Calculate prob of sequence xssv when four letters picked without replacement from xxssxxxvvv. Eval: 1/168 Let: Four letters picked without replacement from sqsqssxhx. What is prob of sequence hxsq? Eval: 1/189 Let: Two letters picked without replacement from {o: 3, i: 5, r: 1, w: 7}. What is prob of sequence ri? Eval: 1/48 Let: Four letters picked without replacement from bttttbrtbttttttrt. What is prob of sequence tbrr? Eval: 3/2380 Let: Three letters picked without replacement from {a: 1, g: 1, p: 2, t: 2, h: 2}. What is prob of sequence ahg? Eval: 1/168 Let: Calculate prob of sequence jbbb when four letters picked without replacement from bhnbjehbhenhj. Eval: 1/1430 Let: Four letters picked without replacement from {f: 3, i: 2, e: 3, l: 1, q: 6}. Give prob of sequence eqef. Eval: 3/910 Let: Three letters picked without replacement from waaawaaaawaaawaw. What is prob of sequence awa? Eval: 55/336 Let: Three letters picked without replacement from {e: 4, w: 6, b: 1, a: 3}. What is prob of sequence wab? Eval: 3/364 Let: Calculate prob of sequence omao when four letters picked without replacement from omaaaooa. Eval: 1/70 Let: Two letters picked without replacement from osoonoxoennno. Give prob of sequence xs. Eval: 1/156 Let: Calculate prob of sequence dtd when three letters picked without replacement from dddddddddddddddddtdd. Eval: 1/20 Let: Two letters picked without replacement from {d: 2, w: 2, k: 9, j: 2, b: 2}. Give prob of sequence jk. Eval: 9/136 Let: Two letters picked without replacement from {m: 1, f: 4, t: 3, b: 6}. Give prob of sequence ft. Eval: 6/91 Let: Four letters picked without replacement from ipiei. Give prob of sequence eiip. Eval: 1/20 Let: Calculate prob of seque
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probability: swr p level set ---------------------------- Q-: Two letters picked without replacement from {v: 2, i: 3, b: 6, n: 1, r: 6}. What is prob of picking 2 b? Math A: 5/51 Q-: Three letters picked without replacement from aatxtxaxwawaa. Give prob of picking 1 a and 2 x. Math A: 9/143 Q-: What is prob of picking 3 k when three letters picked without replacement from ktcgctotktkttooctkg? Math A: 4/969 Q-: Two letters picked without replacement from {d: 3, a: 3, n: 2, o: 3, h: 5}. What is prob of picking 1 h and 1 o? Math A: 1/8 Q-: Three letters picked without replacement from ssssskssrrksksrk. Give prob of picking 1 s, 1 k, and 1 r. Math A: 27/140 Q-: What is prob of picking 1 i and 2 r when three letters picked without replacement from rrrrirririrrirrrirr? Math A: 455/969 Q-: Two letters picked without replacement from {n: 1, z: 10, h: 1, p: 6, y: 2}. Give prob of picking 1 n and 1 y. Math A: 1/95 Q-: Calculate prob of picking 1 i and 3 s when four letters picked without replacement from nsinonnnszinysysii. Math A: 4/765 Q-: Two letters picked without replacement from babvvbxvbabbxavxv. What is prob of picking 1 a and 1 b? Math A: 9/68 Q-: What is prob of picking 3 c when three letters picked without replacement from ccccdcccdv? Math A: 7/24 Q-: Two letters picked without replacement from {e: 6, p: 4, q: 1, a: 4}. What is prob of picking 2 a? Math A: 2/35 Q-: Three letters picked without replacement from juujjjxyuulyjylyj. Give prob of picking 1 u, 1 l, and 1 x. Math A: 1/85 Q-: Four letters picked without replacement from {g: 1, o: 6, r: 1, m: 6, i: 1}. What is prob of picking 1 r, 2 o, and 1 g? Math A: 1/91 Q-: What is prob of picking 4 o when four letters picked without replacement from {o: 2, v: 3}? Math A: 0 Q-: Calculate prob of picking 3 q and 1 h when four letters picked without replacement from {q: 9, h: 7}. Math A: 21/65 Q-: Two letters picked without replacement from bxbsbbnm. What is prob of picking 1 s and 1 x? Math A: 1/28 Q-: Calculate prob of
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measurement: time ----------------- Subquestion: What is 359 minutes after 2:39 PM? Result: 8:38 PM Subquestion: What is 496 minutes before 12:57 AM? Result: 4:41 PM Subquestion: What is 391 minutes before 6:08 PM? Result: 11:37 AM Subquestion: What is 708 minutes before 12:46 AM? Result: 12:58 PM Subquestion: How many minutes are there between 12:39 AM and 9:42 AM? Result: 543 Subquestion: What is 429 minutes before 2:44 PM? Result: 7:35 AM Subquestion: How many minutes are there between 9:07 PM and 10:36 PM? Result: 89 Subquestion: What is 6 minutes before 7:22 AM? Result: 7:16 AM Subquestion: What is 445 minutes after 3:06 PM? Result: 10:31 PM Subquestion: How many minutes are there between 2:57 AM and 8:21 AM? Result: 324 Subquestion: What is 296 minutes after 3:58 AM? Result: 8:54 AM Subquestion: How many minutes are there between 9:30 AM and 7:18 PM? Result: 588 Subquestion: What is 132 minutes before 2:30 PM? Result: 12:18 PM Subquestion: How many minutes are there between 3:45 PM and 3:30 AM? Result: 705 Subquestion: What is 636 minutes after 1:59 AM? Result: 12:35 PM Subquestion: What is 631 minutes after 1:51 AM? Result: 12:22 PM Subquestion: What is 623 minutes after 2:28 PM? Result: 12:51 AM Subquestion: What is 660 minutes before 2:11 PM? Result: 3:11 AM Subquestion: What is 546 minutes before 10:06 PM? Result: 1:00 PM Subquestion: How many minutes are there between 11:29 AM and 9:52 PM? Result: 623 Subquestion: What is 459 minutes before 5:57 AM? Result: 10:18 PM Subquestion: How many minutes are there between 2:46 AM and 6:56 AM? Result: 250 Subquestion: What is 505 minutes after 10:23 PM? Result: 6:48 AM Subquestion: What is 532 minutes after 12:21 PM? Result: 9:13 PM Subquestion: What is 305 minutes after 5:21 PM? Result: 10:26 PM Subquestion: How many minutes are there between 6:10 AM and 3:43 PM? Result: 573 Subquestion: How many minutes are there between 2:18 PM and 11:31 PM? Result: 553 Subquestion: What is 665 minutes before 10:15 AM? Result: 1
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numbers: is prime ----------------- Task: Is 380927 a composite number? Therefore: True Task: Is 95886563 a composite number? Therefore: True Task: Is 5430361 a composite number? Therefore: True Task: Is 1246991 composite? Therefore: True Task: Is 383404753 prime? Therefore: False Task: Is 32641 a composite number? Therefore: True Task: Is 20849 prime? Therefore: True Task: Is 533498593 composite? Therefore: True Task: Is 1392653677 a prime number? Therefore: True Task: Is 10246135997 a prime number? Therefore: True Task: Is 11972459 a prime number? Therefore: True Task: Is 923848529 prime? Therefore: False Task: Is 215161 composite? Therefore: False Task: Is 295705 a composite number? Therefore: True Task: Is 46369 prime? Therefore: False Task: Is 270493 prime? Therefore: True Task: Is 76567008997 a composite number? Therefore: True Task: Is 257499551 composite? Therefore: False Task: Is 201782821 a composite number? Therefore: False Task: Is 62323 composite? Therefore: False Task: Is 253499 composite? Therefore: True Task: Is 311345603 composite? Therefore: True Task: Is 52818011 prime? Therefore: True Task: Is 127951 composite? Therefore: False Task: Is 239021 composite? Therefore: True Task: Is 3440137091 composite? Therefore: True Task: Is 3561359 a composite number? Therefore: False Task: Is 2210396449 a composite number? Therefore: True Task: Is 1284881 composite? Therefore: True Task: Is 6264239 prime? Therefore: False Task: Is 53253709 a prime number? Therefore: True Task: Is 3434701 a prime number? Therefore: True Task: Is 4999 a composite number? Therefore: False Task: Is 110291 a prime number? Therefore: True Task: Is 2602973 prime? Therefore: True Task: Is 2053757 composite? Therefore: False Task: Is 124079 prime? Therefore: False Task: Is 152965391 composite? Therefore: False Task: Is 134442853 a prime number? Therefore: True Task: Is 9340531 a composite number? Therefore: True Task: Is 3157703 a prime number? Therefore: True Task: Is 86765718103 a com
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probability: swr p level set ---------------------------- Step: Four letters picked without replacement from {c: 7, u: 3}. What is prob of picking 1 c and 3 u? Explanation: 1/30 Step: What is prob of picking 3 x and 1 b when four letters picked without replacement from xxxxxbxbbxxxbbxbxxx? Explanation: 143/323 Step: Calculate prob of picking 1 p, 1 s, and 1 v when three letters picked without replacement from pvgppsgpvspvv. Explanation: 20/143 Step: Calculate prob of picking 1 o, 1 d, and 1 g when three letters picked without replacement from ggqgdgggoqgdggogdgo. Explanation: 33/323 Step: Calculate prob of picking 1 a and 2 l when three letters picked without replacement from aaall. Explanation: 3/10 Step: Two letters picked without replacement from owo. Give prob of picking 2 o. Explanation: 1/3 Step: What is prob of picking 1 p and 2 q when three letters picked without replacement from pqqpqqpqqpq? Explanation: 28/55 Step: Four letters picked without replacement from {v: 3, p: 5, t: 4}. Give prob of picking 1 v and 3 t. Explanation: 4/165 Step: Calculate prob of picking 3 q and 1 t when four letters picked without replacement from qtqtttqtutqttqtttttt. Explanation: 28/969 Step: What is prob of picking 4 e when four letters picked without replacement from {l: 4, e: 6}? Explanation: 1/14 Step: Calculate prob of picking 2 f when two letters picked without replacement from {i: 1, f: 2, d: 1}. Explanation: 1/6 Step: Four letters picked without replacement from {k: 14, j: 5}. What is prob of picking 4 j? Explanation: 5/3876 Step: Three letters picked without replacement from {y: 7, q: 2, a: 4}. What is prob of picking 1 a and 2 q? Explanation: 2/143 Step: Calculate prob of picking 1 e, 2 b, and 1 m when four letters picked without replacement from {m: 1, a: 1, b: 2, e: 2, q: 1, g: 2}. Explanation: 1/63 Step: What is prob of picking 1 x and 3 u when four letters picked without replacement from xxuxuuuu? Explanation: 3/7 Step: Calculate prob of picking 1 t and 2 a when th
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probability: swr p level set ---------------------------- What if: What is prob of picking 1 r, 1 u, and 1 x when three letters picked without replacement from {u: 3, k: 5, r: 4, x: 1}? Final Answer: 6/143 What if: Three letters picked without replacement from isfwmuis. Give prob of picking 1 f and 2 i. Final Answer: 1/56 What if: What is prob of picking 2 v and 1 t when three letters picked without replacement from {v: 3, t: 8, q: 3, h: 2}? Final Answer: 3/70 What if: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {l: 2, g: 2}. Final Answer: 2/3 What if: Two letters picked without replacement from iwwhooiofoiaow. What is prob of picking 1 o and 1 i? Final Answer: 15/91 What if: What is prob of picking 1 u and 2 b when three letters picked without replacement from jbbjujujuavujvuxa? Final Answer: 1/136 What if: What is prob of picking 1 e and 1 q when two letters picked without replacement from {e: 1, p: 2, q: 1}? Final Answer: 1/6 What if: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {w: 2, v: 1, s: 1}. Final Answer: 1/6 What if: Three letters picked without replacement from fucfrif. Give prob of picking 1 f, 1 c, and 1 r. Final Answer: 3/35 What if: Calculate prob of picking 2 e and 1 l when three letters picked without replacement from {l: 5, e: 2, h: 2}. Final Answer: 5/84 What if: Calculate prob of picking 2 i when two letters picked without replacement from {w: 2, i: 5, r: 5}. Final Answer: 5/33 What if: Calculate prob of picking 1 z and 2 d when three letters picked without replacement from zvgbzzvgzbzvdvzvdz. Final Answer: 7/816 What if: Two letters picked without replacement from fooffhiopooffjh. What is prob of picking 1 o and 1 i? Final Answer: 1/21 What if: What is prob of picking 2 i when two letters picked without replacement from ixixxxxxxixxxxx? Final Answer: 1/35 What if: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {b: 6, o: 2
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probability: swr p sequence --------------------------- Situation: Three letters picked without replacement from uruqvrrvvqqququvuuq. What is prob of sequence ruq? Derivation: 6/323 Situation: What is prob of sequence mm when two letters picked without replacement from mmmmdmd? Derivation: 10/21 Situation: Two letters picked without replacement from {o: 7, r: 4, d: 7}. What is prob of sequence od? Derivation: 49/306 Situation: Calculate prob of sequence jjc when three letters picked without replacement from {j: 4, v: 1, c: 5}. Derivation: 1/12 Situation: Two letters picked without replacement from {r: 3, y: 2}. Give prob of sequence yr. Derivation: 3/10 Situation: Calculate prob of sequence gjjs when four letters picked without replacement from jjsjjjjjgrgjrujsjsjj. Derivation: 11/1615 Situation: Three letters picked without replacement from moqohhthhtmtoohhqhtt. Give prob of sequence omt. Derivation: 1/171 Situation: Calculate prob of sequence ukkr when four letters picked without replacement from {k: 2, v: 1, r: 2, u: 2, p: 1}. Derivation: 1/210 Situation: Four letters picked without replacement from {t: 2, x: 7, b: 6}. What is prob of sequence xttb? Derivation: 1/390 Situation: Two letters picked without replacement from gqmmgk. What is prob of sequence qq? Derivation: 0 Situation: Calculate prob of sequence rrrs when four letters picked without replacement from {r: 3, s: 2}. Derivation: 1/10 Situation: Calculate prob of sequence iu when two letters picked without replacement from owoouij. Derivation: 1/42 Situation: What is prob of sequence ow when two letters picked without replacement from korzwwrrrrro? Derivation: 1/33 Situation: Three letters picked without replacement from {l: 2, u: 1, y: 4, s: 2, h: 4, a: 1}. Give prob of sequence lah. Derivation: 1/273 Situation: Calculate prob of sequence gg when two letters picked without replacement from ggpgggggjgggggg. Derivation: 26/35 Situation: What is prob of sequence io when two letters picked without replacemen
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numbers: place value -------------------- Qn: What is the ten millions digit of 2220505952? Fix: 2 Qn: What is the units digit of 771300494? Fix: 4 Qn: What is the tens digit of 275240? Fix: 4 Qn: What is the thousands digit of 1247? Fix: 1 Qn: What is the hundred thousands digit of 4630711? Fix: 6 Qn: What is the millions digit of 23946040? Fix: 3 Qn: What is the units digit of 3008? Fix: 8 Qn: What is the hundreds digit of 435527? Fix: 5 Qn: What is the millions digit of 4588418133? Fix: 8 Qn: What is the hundreds digit of 9992? Fix: 9 Qn: What is the hundred thousands digit of 2962023385? Fix: 0 Qn: What is the units digit of 3712? Fix: 2 Qn: What is the tens digit of 171258? Fix: 5 Qn: What is the units digit of 286828324? Fix: 4 Qn: What is the tens digit of 9448? Fix: 4 Qn: What is the thousands digit of 4099591086? Fix: 1 Qn: What is the ten thousands digit of 579180143? Fix: 8 Qn: What is the hundreds digit of 4004788? Fix: 7 Qn: What is the hundred millions digit of 910187448? Fix: 9 Qn: What is the tens digit of 116193072? Fix: 7 Qn: What is the ten thousands digit of 201837425? Fix: 3 Qn: What is the tens digit of 103690? Fix: 9 Qn: What is the thousands digit of 593360? Fix: 3 Qn: What is the hundred thousands digit of 929803? Fix: 9 Qn: What is the ten thousands digit of 858738? Fix: 5 Qn: What is the millions digit of 1830909? Fix: 1 Qn: What is the hundred millions digit of 628135141? Fix: 6 Qn: What is the tens digit of 2086? Fix: 8 Qn: What is the units digit of 50? Fix: 0 Qn: What is the ten millions digit of 24187117? Fix: 2 Qn: What is the thousands digit of 92583? Fix: 2 Qn: What is the hundred thousands digit of 3235573065? Fix: 5 Qn: What is the units digit of 23436? Fix: 6 Qn: What is the millions digit of 66637278? Fix: 6 Qn: What is the thousands digit of 4509676? Fix: 9 Qn: What is the tens digit of 1286? Fix: 8 Qn: What is the units digit of 771559260? Fix: 0 Qn: What is the hundreds digit of 273042? Fix: 0 Qn: What is the hundreds digit
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numbers: div remainder ---------------------- Input: Calculate the remainder when 6181711 is divided by 386355. Reply: 31 Input: What is the remainder when 1167055 is divided by 16209? Reply: 7 Input: What is the remainder when 63215 is divided by 191? Reply: 185 Input: Calculate the remainder when 427944 is divided by 5636. Reply: 5244 Input: Calculate the remainder when 193211 is divided by 7. Reply: 4 Input: Calculate the remainder when 1246 is divided by 33. Reply: 25 Input: Calculate the remainder when 3979529 is divided by 15. Reply: 14 Input: Calculate the remainder when 413 is divided by 119. Reply: 56 Input: What is the remainder when 6011585 is divided by 47? Reply: 3 Input: Calculate the remainder when 1355239 is divided by 386. Reply: 379 Input: What is the remainder when 65704 is divided by 3? Reply: 1 Input: Calculate the remainder when 59518088 is divided by 348. Reply: 344 Input: Calculate the remainder when 98842 is divided by 232. Reply: 10 Input: What is the remainder when 53500 is divided by 1257? Reply: 706 Input: What is the remainder when 6277 is divided by 442? Reply: 89 Input: Calculate the remainder when 315387 is divided by 1350. Reply: 837 Input: What is the remainder when 1077 is divided by 1042? Reply: 35 Input: Calculate the remainder when 321197 is divided by 57. Reply: 2 Input: What is the remainder when 262 is divided by 64? Reply: 6 Input: What is the remainder when 1016 is divided by 50? Reply: 16 Input: Calculate the remainder when 1880 is divided by 1872. Reply: 8 Input: Calculate the remainder when 622 is divided by 202. Reply: 16 Input: Calculate the remainder when 130 is divided by 46. Reply: 38 Input: What is the remainder when 572449942 is divided by 759? Reply: 757 Input: What is the remainder when 16844 is divided by 681? Reply: 500 Input: Calculate the remainder when 1342776 is divided by 11989. Reply: 8 Input: Calculate the remainder when 1684 is divided by 548. Reply: 40 Input: What is the remainder when 25051 is divid
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