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arithmetic: nearest integer root -------------------------------- Puzzle: What is the eighth root of 51544 to the nearest integer? Soln: 4 Puzzle: What is the third root of 64697339 to the nearest integer? Soln: 401 Puzzle: What is 71827 to the power of 1/2, to the nearest integer? Soln: 268 Puzzle: What is the eighth root of 21578421 to the nearest integer? Soln: 8 Puzzle: What is 269141 to the power of 1/8, to the nearest integer? Soln: 5 Puzzle: What is 1633099 to the power of 1/7, to the nearest integer? Soln: 8 Puzzle: What is the ninth root of 648974509 to the nearest integer? Soln: 10 Puzzle: What is 325356639 to the power of 1/2, to the nearest integer? Soln: 18038 Puzzle: What is the sixth root of 305510 to the nearest integer? Soln: 8 Puzzle: What is the third root of 13632 to the nearest integer? Soln: 24 Puzzle: What is the fifth root of 20807 to the nearest integer? Soln: 7 Puzzle: What is the square root of 268681329 to the nearest integer? Soln: 16392 Puzzle: What is 506017351 to the power of 1/2, to the nearest integer? Soln: 22495 Puzzle: What is 1625 to the power of 1/4, to the nearest integer? Soln: 6 Puzzle: What is 31045566 to the power of 1/7, to the nearest integer? Soln: 12 Puzzle: What is the cube root of 23423061 to the nearest integer? Soln: 286 Puzzle: What is the square root of 14558 to the nearest integer? Soln: 121 Puzzle: What is the square root of 1727 to the nearest integer? Soln: 42 Puzzle: What is the third root of 104390784 to the nearest integer? Soln: 471 Puzzle: What is 397046798 to the power of 1/10, to the nearest integer? Soln: 7 Puzzle: What is 918668835 to the power of 1/6, to the nearest integer? Soln: 31 Puzzle: What is 2074676 to the power of 1/3, to the nearest integer? Soln: 128 Puzzle: What is the tenth root of 529 to the nearest integer? Soln: 2 Puzzle: What is the square root of 1190 to the nearest integer? Soln: 34 Puzzle: What is the fifth root of 77348 to the nearest integer? Soln: 9 Puzzle: What is the square
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arithmetic: nearest integer root -------------------------------- Let us solve: What is 739569350 to the power of 1/4, to the nearest integer? Response: 165 Let us solve: What is 295389596 to the power of 1/2, to the nearest integer? Response: 17187 Let us solve: What is 76867497 to the power of 1/10, to the nearest integer? Response: 6 Let us solve: What is 10943167 to the power of 1/2, to the nearest integer? Response: 3308 Let us solve: What is the square root of 9175 to the nearest integer? Response: 96 Let us solve: What is 12209781 to the power of 1/3, to the nearest integer? Response: 230 Let us solve: What is the square root of 2207306 to the nearest integer? Response: 1486 Let us solve: What is the fourth root of 33838 to the nearest integer? Response: 14 Let us solve: What is the square root of 3480417583 to the nearest integer? Response: 58995 Let us solve: What is the cube root of 11701 to the nearest integer? Response: 23 Let us solve: What is 124567 to the power of 1/2, to the nearest integer? Response: 353 Let us solve: What is the third root of 3048327697 to the nearest integer? Response: 1450 Let us solve: What is 37162706 to the power of 1/2, to the nearest integer? Response: 6096 Let us solve: What is the eighth root of 11807 to the nearest integer? Response: 3 Let us solve: What is 568576403 to the power of 1/2, to the nearest integer? Response: 23845 Let us solve: What is 1210709496 to the power of 1/2, to the nearest integer? Response: 34795 Let us solve: What is 265540 to the power of 1/6, to the nearest integer? Response: 8 Let us solve: What is 102184 to the power of 1/2, to the nearest integer? Response: 320 Let us solve: What is 1654 to the power of 1/2, to the nearest integer? Response: 41 Let us solve: What is 1249583 to the power of 1/2, to the nearest integer? Response: 1118 Let us solve: What is the square root of 82939895 to the nearest integer? Response: 9107 Let us solve: What is the ninth root of 25118 to the nearest integer? Resp
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numbers: place value -------------------- Let: What is the hundreds digit of 27483512? Resolution: 5 Let: What is the millions digit of 5922114? Resolution: 5 Let: What is the hundred thousands digit of 799963? Resolution: 7 Let: What is the ten thousands digit of 270472? Resolution: 7 Let: What is the millions digit of 3431910085? Resolution: 1 Let: What is the thousands digit of 51742731? Resolution: 2 Let: What is the hundreds digit of 822? Resolution: 8 Let: What is the units digit of 5677427? Resolution: 7 Let: What is the ten thousands digit of 1583978? Resolution: 8 Let: What is the units digit of 6544? Resolution: 4 Let: What is the millions digit of 6073219? Resolution: 6 Let: What is the hundreds digit of 4563044? Resolution: 0 Let: What is the hundred thousands digit of 11612534? Resolution: 6 Let: What is the tens digit of 1461872? Resolution: 7 Let: What is the hundreds digit of 13232? Resolution: 2 Let: What is the ten thousands digit of 18022? Resolution: 1 Let: What is the hundreds digit of 6959? Resolution: 9 Let: What is the hundreds digit of 2826? Resolution: 8 Let: What is the units digit of 2824? Resolution: 4 Let: What is the thousands digit of 164217? Resolution: 4 Let: What is the units digit of 40258? Resolution: 8 Let: What is the ten thousands digit of 10036488? Resolution: 3 Let: What is the units digit of 288203? Resolution: 3 Let: What is the units digit of 37535? Resolution: 5 Let: What is the hundred thousands digit of 1349782? Resolution: 3 Let: What is the ten thousands digit of 47268503? Resolution: 6 Let: What is the ten thousands digit of 423909342? Resolution: 0 Let: What is the thousands digit of 23203? Resolution: 3 Let: What is the tens digit of 43170618? Resolution: 1 Let: What is the hundred thousands digit of 3028292? Resolution: 0 Let: What is the tens digit of 240? Resolution: 4 Let: What is the units digit of 1888590500? Resolution: 0 Let: What is the units digit of 2966? Resolution: 6 Let: What is the tens digit of 455
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numbers: div remainder ---------------------- Inquiry: Calculate the remainder when 25096 is divided by 25085. A: 11 Inquiry: What is the remainder when 1886030 is divided by 2704? A: 1342 Inquiry: What is the remainder when 1321542 is divided by 660768? A: 6 Inquiry: Calculate the remainder when 598 is divided by 308. A: 290 Inquiry: Calculate the remainder when 14 is divided by 2. A: 0 Inquiry: What is the remainder when 244 is divided by 80? A: 4 Inquiry: What is the remainder when 161 is divided by 44? A: 29 Inquiry: Calculate the remainder when 4199 is divided by 150. A: 149 Inquiry: What is the remainder when 10255 is divided by 5000? A: 255 Inquiry: Calculate the remainder when 1832 is divided by 592. A: 56 Inquiry: Calculate the remainder when 876 is divided by 40. A: 36 Inquiry: Calculate the remainder when 3178881 is divided by 3. A: 0 Inquiry: What is the remainder when 11546 is divided by 5? A: 1 Inquiry: Calculate the remainder when 161 is divided by 13. A: 5 Inquiry: What is the remainder when 2121 is divided by 6? A: 3 Inquiry: What is the remainder when 552809 is divided by 67? A: 59 Inquiry: Calculate the remainder when 36455 is divided by 7265. A: 130 Inquiry: Calculate the remainder when 85 is divided by 43. A: 42 Inquiry: Calculate the remainder when 5286 is divided by 46. A: 42 Inquiry: Calculate the remainder when 18384 is divided by 18347. A: 37 Inquiry: What is the remainder when 32096 is divided by 2896? A: 240 Inquiry: What is the remainder when 770605 is divided by 93? A: 7 Inquiry: What is the remainder when 1207075 is divided by 801? A: 769 Inquiry: What is the remainder when 6173 is divided by 799? A: 580 Inquiry: What is the remainder when 178483 is divided by 4570? A: 253 Inquiry: Calculate the remainder when 1615118 is divided by 322983. A: 203 Inquiry: What is the remainder when 9314 is divided by 204? A: 134 Inquiry: Calculate the remainder when 39547 is divided by 19760. A: 27 Inquiry: Calculate the remainder when 4624317 is divid
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arithmetic: nearest integer root -------------------------------- Task: What is 2380573 to the power of 1/6, to the nearest integer? Ans: 12 Task: What is the tenth root of 4247 to the nearest integer? Ans: 2 Task: What is 3538342 to the power of 1/2, to the nearest integer? Ans: 1881 Task: What is 1864714168 to the power of 1/10, to the nearest integer? Ans: 8 Task: What is the square root of 798549 to the nearest integer? Ans: 894 Task: What is 1837 to the power of 1/6, to the nearest integer? Ans: 3 Task: What is 26532 to the power of 1/3, to the nearest integer? Ans: 30 Task: What is 682962823 to the power of 1/3, to the nearest integer? Ans: 881 Task: What is the square root of 2038 to the nearest integer? Ans: 45 Task: What is the square root of 198338185 to the nearest integer? Ans: 14083 Task: What is the third root of 22992945 to the nearest integer? Ans: 284 Task: What is the fifth root of 55418 to the nearest integer? Ans: 9 Task: What is 125965397 to the power of 1/9, to the nearest integer? Ans: 8 Task: What is the square root of 3671 to the nearest integer? Ans: 61 Task: What is 14851 to the power of 1/2, to the nearest integer? Ans: 122 Task: What is the square root of 5088 to the nearest integer? Ans: 71 Task: What is 128771528 to the power of 1/2, to the nearest integer? Ans: 11348 Task: What is 3880 to the power of 1/3, to the nearest integer? Ans: 16 Task: What is the third root of 397822 to the nearest integer? Ans: 74 Task: What is 114254 to the power of 1/8, to the nearest integer? Ans: 4 Task: What is 2119 to the power of 1/3, to the nearest integer? Ans: 13 Task: What is the third root of 26790063 to the nearest integer? Ans: 299 Task: What is 8937568 to the power of 1/2, to the nearest integer? Ans: 2990 Task: What is the square root of 24849981 to the nearest integer? Ans: 4985 Task: What is the square root of 29033 to the nearest integer? Ans: 170 Task: What is 4152 to the power of 1/6, to the nearest integer? Ans: 4 Task: What is 2977395
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numbers: gcd ------------ Task: Calculate the greatest common factor of 33924 and 804. Calculation: 12 Task: What is the greatest common factor of 2303 and 151366649? Calculation: 329 Task: Calculate the highest common factor of 6289 and 41781. Calculation: 19 Task: What is the greatest common factor of 279784 and 80? Calculation: 8 Task: What is the highest common factor of 4 and 196? Calculation: 4 Task: What is the highest common factor of 1734 and 42024? Calculation: 102 Task: Calculate the greatest common factor of 61445404 and 12. Calculation: 4 Task: Calculate the greatest common factor of 81684 and 36. Calculation: 36 Task: What is the highest common divisor of 54 and 243? Calculation: 27 Task: What is the greatest common divisor of 172 and 387? Calculation: 43 Task: What is the greatest common factor of 9 and 9? Calculation: 9 Task: Calculate the highest common divisor of 486 and 438. Calculation: 6 Task: What is the greatest common factor of 38 and 2242? Calculation: 38 Task: What is the greatest common divisor of 7 and 25171? Calculation: 1 Task: Calculate the highest common divisor of 206338 and 40006. Calculation: 166 Task: Calculate the greatest common factor of 1051719 and 141. Calculation: 141 Task: What is the greatest common factor of 77 and 161? Calculation: 7 Task: What is the greatest common factor of 224 and 430399648? Calculation: 224 Task: Calculate the greatest common factor of 60467520 and 2064. Calculation: 48 Task: Calculate the highest common factor of 123 and 328. Calculation: 41 Task: Calculate the greatest common factor of 32 and 621472. Calculation: 32 Task: Calculate the greatest common factor of 42 and 12. Calculation: 6 Task: Calculate the highest common factor of 71806 and 92. Calculation: 46 Task: Calculate the greatest common factor of 1802038185 and 135. Calculation: 135 Task: Calculate the greatest common divisor of 42 and 517209. Calculation: 21 Task: What is the highest common divisor of 18 and 909? Calculation: 9 Task: Cal
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numbers: is prime ----------------- What if: Is 6489247967 composite? Compute: True What if: Is 454698227 a composite number? Compute: True What if: Is 1683779 a composite number? Compute: False What if: Is 187613 composite? Compute: True What if: Is 1388548621 composite? Compute: True What if: Is 3793611 a prime number? Compute: False What if: Is 25699811 a prime number? Compute: True What if: Is 26545 a composite number? Compute: True What if: Is 3516095797 composite? Compute: False What if: Is 2021 prime? Compute: False What if: Is 7574360383 a composite number? Compute: True What if: Is 9302089345 a composite number? Compute: True What if: Is 42088913 prime? Compute: True What if: Is 7901 prime? Compute: True What if: Is 31873133 prime? Compute: False What if: Is 31753851 prime? Compute: False What if: Is 282607271 a prime number? Compute: True What if: Is 1677752137 composite? Compute: True What if: Is 12552057667 a prime number? Compute: False What if: Is 2751691 prime? Compute: False What if: Is 608453 a composite number? Compute: True What if: Is 2941365349 a prime number? Compute: False What if: Is 5970981 a composite number? Compute: True What if: Is 4017689741 composite? Compute: True What if: Is 2402161 a prime number? Compute: True What if: Is 464909 a composite number? Compute: False What if: Is 3531350629 composite? Compute: False What if: Is 49193564803 composite? Compute: False What if: Is 3766631 a prime number? Compute: False What if: Is 5738655973 a composite number? Compute: True What if: Is 12181703186 composite? Compute: True What if: Is 6884277409 a prime number? Compute: True What if: Is 73241081 a composite number? Compute: False What if: Is 177999 a composite number? Compute: True What if: Is 2344202467 prime? Compute: True What if: Is 8675870329 a prime number? Compute: False What if: Is 23421783349 a composite number? Compute: False What if: Is 2000233 a prime number? Compute: False What if: Is 163729 a composite number? Compute: False W
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measurement: time ----------------- Q/A: What is 406 minutes before 3:25 AM? Outcome: 8:39 PM Q/A: What is 667 minutes after 11:23 PM? Outcome: 10:30 AM Q/A: What is 505 minutes before 11:38 AM? Outcome: 3:13 AM Q/A: How many minutes are there between 7:59 PM and 3:52 AM? Outcome: 473 Q/A: How many minutes are there between 9:17 PM and 8:22 AM? Outcome: 665 Q/A: How many minutes are there between 5:09 PM and 8:32 PM? Outcome: 203 Q/A: How many minutes are there between 4:16 PM and 4:04 AM? Outcome: 708 Q/A: How many minutes are there between 1:47 PM and 10:39 PM? Outcome: 532 Q/A: What is 59 minutes before 10:07 PM? Outcome: 9:08 PM Q/A: How many minutes are there between 3:17 PM and 12:34 AM? Outcome: 557 Q/A: What is 274 minutes after 1:28 AM? Outcome: 6:02 AM Q/A: How many minutes are there between 4:36 AM and 5:24 AM? Outcome: 48 Q/A: What is 249 minutes after 12:28 AM? Outcome: 4:37 AM Q/A: What is 508 minutes after 10:32 AM? Outcome: 7:00 PM Q/A: What is 710 minutes before 8:18 PM? Outcome: 8:28 AM Q/A: How many minutes are there between 8:20 PM and 7:45 AM? Outcome: 685 Q/A: How many minutes are there between 3:34 PM and 6:48 PM? Outcome: 194 Q/A: How many minutes are there between 9:58 PM and 9:44 AM? Outcome: 706 Q/A: How many minutes are there between 4:51 PM and 3:18 AM? Outcome: 627 Q/A: What is 618 minutes before 9:50 PM? Outcome: 11:32 AM Q/A: How many minutes are there between 10:42 PM and 4:42 AM? Outcome: 360 Q/A: What is 136 minutes after 5:14 AM? Outcome: 7:30 AM Q/A: What is 91 minutes before 7:17 PM? Outcome: 5:46 PM Q/A: What is 260 minutes before 10:44 PM? Outcome: 6:24 PM Q/A: What is 325 minutes after 9:01 PM? Outcome: 2:26 AM Q/A: How many minutes are there between 9:49 AM and 2:14 PM? Outcome: 265 Q/A: What is 304 minutes after 10:04 PM? Outcome: 3:08 AM Q/A: How many minutes are there between 12:48 PM and 3:35 PM? Outcome: 167 Q/A: What is 583 minutes after 7:04 PM? Outcome: 4:47 AM Q/A: How many minutes are there between 7:56 AM and 10:4
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arithmetic: div --------------- Problem Statement: Divide 13611 by 237. Conclusion: 4537/79 Problem Statement: -594 divided by 472 Conclusion: -297/236 Problem Statement: Calculate -1182 divided by 31. Conclusion: -1182/31 Problem Statement: Calculate 44560 divided by -20. Conclusion: -2228 Problem Statement: What is 512680 divided by 36620? Conclusion: 14 Problem Statement: What is 181 divided by -4? Conclusion: -181/4 Problem Statement: Divide 3347328 by -4. Conclusion: -836832 Problem Statement: What is 5 divided by -61? Conclusion: -5/61 Problem Statement: Divide -33431816 by 22. Conclusion: -1519628 Problem Statement: Calculate 0 divided by 457. Conclusion: 0 Problem Statement: Divide 0 by -621. Conclusion: 0 Problem Statement: Calculate 21 divided by 3. Conclusion: 7 Problem Statement: Divide 3360 by -35. Conclusion: -96 Problem Statement: -140 divided by -2 Conclusion: 70 Problem Statement: Calculate -68 divided by 663. Conclusion: -4/39 Problem Statement: What is 47071103 divided by -103? Conclusion: -457001 Problem Statement: 1272 divided by -47622 Conclusion: -212/7937 Problem Statement: Calculate 1280 divided by -256. Conclusion: -5 Problem Statement: Calculate 391 divided by 1. Conclusion: 391 Problem Statement: Calculate 6725 divided by 269. Conclusion: 25 Problem Statement: Calculate -465 divided by 93. Conclusion: -5 Problem Statement: Divide -113200 by -56600. Conclusion: 2 Problem Statement: Calculate 0 divided by -3230305. Conclusion: 0 Problem Statement: Divide 300187264 by -2886416. Conclusion: -104 Problem Statement: Divide -31 by -10. Conclusion: 31/10 Problem Statement: -3267533536 divided by -4 Conclusion: 816883384 Problem Statement: 13 divided by -15 Conclusion: -13/15 Problem Statement: What is -36012342 divided by -521918? Conclusion: 69 Problem Statement: Calculate 93 divided by -1219183. Conclusion: -93/1219183 Problem Statement: Divide -26 by -26. Conclusion: 1 Problem Statement: Divide 0 by -566. Conclusion: 0 Problem Statement: Calcu
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numbers: place value -------------------- Query: What is the thousands digit of 41942066? Calculation: 2 Query: What is the units digit of 131485? Calculation: 5 Query: What is the tens digit of 5261? Calculation: 6 Query: What is the units digit of 394? Calculation: 4 Query: What is the hundred thousands digit of 25194558? Calculation: 1 Query: What is the units digit of 844837669? Calculation: 9 Query: What is the units digit of 234? Calculation: 4 Query: What is the hundreds digit of 416? Calculation: 4 Query: What is the units digit of 30572? Calculation: 2 Query: What is the hundreds digit of 46662430? Calculation: 4 Query: What is the thousands digit of 4787? Calculation: 4 Query: What is the millions digit of 707428279? Calculation: 7 Query: What is the hundreds digit of 20439255? Calculation: 2 Query: What is the hundreds digit of 104084? Calculation: 0 Query: What is the hundreds digit of 16934275? Calculation: 2 Query: What is the hundreds digit of 9372155? Calculation: 1 Query: What is the hundreds digit of 116372? Calculation: 3 Query: What is the units digit of 1244? Calculation: 4 Query: What is the tens digit of 1776531? Calculation: 3 Query: What is the hundreds digit of 183144177? Calculation: 1 Query: What is the units digit of 7766842839? Calculation: 9 Query: What is the ten thousands digit of 649189830? Calculation: 8 Query: What is the hundreds digit of 4538? Calculation: 5 Query: What is the units digit of 1447704? Calculation: 4 Query: What is the hundreds digit of 1393? Calculation: 3 Query: What is the ten thousands digit of 177053? Calculation: 7 Query: What is the thousands digit of 11937? Calculation: 1 Query: What is the ten thousands digit of 12281? Calculation: 1 Query: What is the units digit of 565? Calculation: 5 Query: What is the tens digit of 6278? Calculation: 7 Query: What is the thousands digit of 1803566? Calculation: 3 Query: What is the ten thousands digit of 16412727? Calculation: 1 Query: What is the tens digit of 579? C
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probability: swr p level set ---------------------------- Problem: Two letters picked without replacement from {q: 1, w: 2, i: 1, r: 1, s: 2, z: 1}. Give prob of picking 1 r and 1 w. Reply: 1/14 Problem: Three letters picked without replacement from {v: 15, q: 3}. Give prob of picking 3 v. Reply: 455/816 Problem: What is prob of picking 1 d and 2 v when three letters picked without replacement from vvdv? Reply: 3/4 Problem: What is prob of picking 3 z when three letters picked without replacement from zzzzzlllzzzlllzzzz? Reply: 55/204 Problem: What is prob of picking 4 h when four letters picked without replacement from {h: 7, x: 6}? Reply: 7/143 Problem: Two letters picked without replacement from ypppppyppyp. Give prob of picking 2 y. Reply: 3/55 Problem: Calculate prob of picking 2 a when two letters picked without replacement from ammaaamammmamaaa. Reply: 3/10 Problem: Three letters picked without replacement from wgngoogggnrrfnrron. What is prob of picking 3 n? Reply: 1/204 Problem: Three letters picked without replacement from {e: 1, g: 6, f: 1, c: 3, m: 1, h: 1}. Give prob of picking 1 e, 1 g, and 1 h. Reply: 3/143 Problem: Calculate prob of picking 2 m, 1 r, and 1 h when four letters picked without replacement from xxbrhmcm. Reply: 1/70 Problem: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwwww. Reply: 1 Problem: Calculate prob of picking 2 h and 1 x when three letters picked without replacement from hhfhsxafhhf. Reply: 2/33 Problem: Calculate prob of picking 3 t when three letters picked without replacement from tstsgsgss. Reply: 0 Problem: Calculate prob of picking 1 g, 1 h, and 1 z when three letters picked without replacement from {s: 4, g: 2, h: 1, z: 6, n: 4}. Reply: 3/170 Problem: What is prob of picking 2 g and 2 f when four letters picked without replacement from gggffgggeggegffg? Reply: 27/182 Problem: What is prob of picking 1 n, 1 k, and 1 s when three letters picked without replacement from qknmsql? Repl
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probability: swr p sequence --------------------------- Qn: Four letters picked without replacement from {k: 6, h: 2, v: 5}. What is prob of sequence vkkk? Conclusion: 5/143 Qn: Calculate prob of sequence et when two letters picked without replacement from {e: 3, t: 8}. Conclusion: 12/55 Qn: What is prob of sequence ssd when three letters picked without replacement from {d: 11, s: 1}? Conclusion: 0 Qn: Two letters picked without replacement from {d: 8, x: 3}. What is prob of sequence xx? Conclusion: 3/55 Qn: Two letters picked without replacement from {j: 2, d: 2, v: 3, h: 8, m: 2}. What is prob of sequence vm? Conclusion: 3/136 Qn: Calculate prob of sequence ggw when three letters picked without replacement from gwwdwddgwggdgdwmg. Conclusion: 5/136 Qn: Three letters picked without replacement from {f: 3, l: 15}. What is prob of sequence ffl? Conclusion: 5/272 Qn: Two letters picked without replacement from {n: 4, l: 1, u: 2, a: 1, e: 1}. What is prob of sequence el? Conclusion: 1/72 Qn: What is prob of sequence fe when two letters picked without replacement from ffe? Conclusion: 1/3 Qn: Two letters picked without replacement from jtpwwjpjpwwwjutup. What is prob of sequence uw? Conclusion: 5/136 Qn: Three letters picked without replacement from {z: 2, u: 1, y: 2, a: 1, e: 1, s: 2}. Give prob of sequence azu. Conclusion: 1/252 Qn: Calculate prob of sequence klkk when four letters picked without replacement from {l: 1, n: 1, k: 14}. Conclusion: 1/20 Qn: Four letters picked without replacement from zzzczockzczczzzyc. Give prob of sequence kkoc. Conclusion: 0 Qn: Calculate prob of sequence huhh when four letters picked without replacement from {t: 2, x: 4, h: 3, e: 4, u: 1}. Conclusion: 1/4004 Qn: Calculate prob of sequence rzzz when four letters picked without replacement from lrzl. Conclusion: 0 Qn: Two letters picked without replacement from wwwwww. Give prob of sequence ww. Conclusion: 1 Qn: Two letters picked without replacement from {v: 3, i: 12}. Give prob of seq
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probability: swr p level set ---------------------------- Problem: What is prob of picking 2 e when two letters picked without replacement from {e: 4, p: 15}? Fix: 2/57 Problem: What is prob of picking 2 c when two letters picked without replacement from {f: 2, w: 2, c: 2}? Fix: 1/15 Problem: Calculate prob of picking 1 x and 2 n when three letters picked without replacement from {x: 1, n: 3, b: 1}. Fix: 3/10 Problem: Two letters picked without replacement from {d: 1, s: 1, w: 2, z: 2, b: 1}. What is prob of picking 1 s and 1 d? Fix: 1/21 Problem: Three letters picked without replacement from {h: 2, a: 6, f: 3, k: 1}. Give prob of picking 3 f. Fix: 1/220 Problem: Two letters picked without replacement from tttttlttttltllttlt. What is prob of picking 1 l and 1 t? Fix: 65/153 Problem: Two letters picked without replacement from {a: 3, c: 1, y: 2, d: 1}. Give prob of picking 2 a. Fix: 1/7 Problem: Two letters picked without replacement from {l: 2, a: 2, m: 8, z: 2}. What is prob of picking 2 m? Fix: 4/13 Problem: Calculate prob of picking 2 h when two letters picked without replacement from {t: 1, v: 1, h: 6, i: 1, j: 3, o: 1}. Fix: 5/26 Problem: What is prob of picking 4 u when four letters picked without replacement from {i: 5, k: 4, u: 6}? Fix: 1/91 Problem: Three letters picked without replacement from wtktktkkkkktktkkttt. What is prob of picking 2 t and 1 w? Fix: 28/969 Problem: Two letters picked without replacement from {k: 1, g: 1, s: 3}. Give prob of picking 1 g and 1 s. Fix: 3/10 Problem: Two letters picked without replacement from aooaaaaooaaao. What is prob of picking 1 o and 1 a? Fix: 20/39 Problem: Three letters picked without replacement from qqhhhzqqhqqqh. Give prob of picking 2 q and 1 z. Fix: 21/286 Problem: Two letters picked without replacement from {h: 4, b: 4, t: 6}. What is prob of picking 1 b and 1 t? Fix: 24/91 Problem: Two letters picked without replacement from bslbbbbbybybbkblpl. What is prob of picking 1 y and 1 s? Fix: 2/153 Problem: Two l
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probability: swr p sequence --------------------------- Problem Statement: Calculate prob of sequence jh when two letters picked without replacement from jhjhhvhv. Answer: 1/7 Problem Statement: Two letters picked without replacement from ttathww. What is prob of sequence ta? Answer: 1/14 Problem Statement: What is prob of sequence njpj when four letters picked without replacement from {i: 2, y: 3, n: 2, p: 1, o: 2, j: 4}? Answer: 1/1001 Problem Statement: Calculate prob of sequence fw when two letters picked without replacement from {f: 2, z: 2, w: 2, v: 2, a: 5}. Answer: 1/39 Problem Statement: Calculate prob of sequence bv when two letters picked without replacement from bbbffffbvbf. Answer: 1/22 Problem Statement: Four letters picked without replacement from xipadxd. Give prob of sequence xixp. Answer: 1/420 Problem Statement: Three letters picked without replacement from hhjhjjjahaphbjhbb. Give prob of sequence bbj. Answer: 1/136 Problem Statement: Two letters picked without replacement from {w: 2, m: 2, j: 1, y: 1}. What is prob of sequence wj? Answer: 1/15 Problem Statement: Calculate prob of sequence nj when two letters picked without replacement from onieeinhienjenenjj. Answer: 5/102 Problem Statement: Two letters picked without replacement from azazaa. Give prob of sequence az. Answer: 4/15 Problem Statement: What is prob of sequence yy when two letters picked without replacement from xymyyyyxymxxxxxmmxxx? Answer: 3/38 Problem Statement: Calculate prob of sequence iddi when four letters picked without replacement from iiiiiiiiidiiiiiidiii. Answer: 1/190 Problem Statement: Two letters picked without replacement from {j: 5, d: 9}. Give prob of sequence dj. Answer: 45/182 Problem Statement: Calculate prob of sequence oiey when four letters picked without replacement from {d: 3, e: 1, o: 4, w: 5, y: 1, i: 3}. Answer: 1/4760 Problem Statement: Two letters picked without replacement from {e: 2, l: 1, o: 1, i: 1, b: 2}. What is prob of sequence lb? Answer: 1/21 P
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measurement: time ----------------- Challenge: How many minutes are there between 2:52 PM and 10:30 PM? Ans: 458 Challenge: How many minutes are there between 1:00 AM and 12:16 PM? Ans: 676 Challenge: How many minutes are there between 6:32 PM and 6:02 AM? Ans: 690 Challenge: How many minutes are there between 10:26 AM and 4:07 PM? Ans: 341 Challenge: How many minutes are there between 4:31 PM and 10:15 PM? Ans: 344 Challenge: How many minutes are there between 7:52 AM and 6:03 PM? Ans: 611 Challenge: How many minutes are there between 2:44 AM and 7:36 AM? Ans: 292 Challenge: What is 646 minutes before 3:48 PM? Ans: 5:02 AM Challenge: How many minutes are there between 1:30 PM and 3:58 PM? Ans: 148 Challenge: How many minutes are there between 5:56 PM and 5:45 AM? Ans: 709 Challenge: How many minutes are there between 3:29 AM and 1:12 PM? Ans: 583 Challenge: What is 173 minutes before 9:37 AM? Ans: 6:44 AM Challenge: How many minutes are there between 9:56 PM and 11:07 PM? Ans: 71 Challenge: What is 159 minutes before 8:51 AM? Ans: 6:12 AM Challenge: How many minutes are there between 6:34 PM and 7:24 PM? Ans: 50 Challenge: How many minutes are there between 7:42 PM and 5:12 AM? Ans: 570 Challenge: What is 82 minutes after 6:10 PM? Ans: 7:32 PM Challenge: What is 468 minutes after 7:27 PM? Ans: 3:15 AM Challenge: What is 54 minutes after 10:35 AM? Ans: 11:29 AM Challenge: How many minutes are there between 2:49 AM and 9:28 AM? Ans: 399 Challenge: How many minutes are there between 1:00 PM and 1:49 PM? Ans: 49 Challenge: What is 480 minutes after 10:27 AM? Ans: 6:27 PM Challenge: What is 9 minutes before 11:28 PM? Ans: 11:19 PM Challenge: What is 584 minutes before 5:16 AM? Ans: 7:32 PM Challenge: What is 583 minutes after 11:20 PM? Ans: 9:03 AM Challenge: What is 359 minutes before 12:45 PM? Ans: 6:46 AM Challenge: How many minutes are there between 10:42 PM and 11:22 PM? Ans: 40 Challenge: What is 342 minutes after 10:14 PM? Ans: 3:56 AM Challenge: What is 611 minu
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probability: swr p sequence --------------------------- Qn: What is prob of sequence ua when two letters picked without replacement from auaaaaaaaaaaa? Result: 1/13 Qn: Three letters picked without replacement from skjkkekjksojksekooj. What is prob of sequence ooe? Result: 2/969 Qn: What is prob of sequence yy when two letters picked without replacement from gyxigpgiyyyigx? Result: 6/91 Qn: Four letters picked without replacement from {e: 5, d: 1, o: 11, c: 2}. Give prob of sequence coee. Result: 55/11628 Qn: Four letters picked without replacement from {j: 1, t: 2, i: 1, u: 1, e: 1, z: 2}. Give prob of sequence jtit. Result: 1/840 Qn: Four letters picked without replacement from zzrlmm. Give prob of sequence rmml. Result: 1/180 Qn: Four letters picked without replacement from bkybhbtyknk. What is prob of sequence bknb? Result: 1/440 Qn: Four letters picked without replacement from ybwgsyobg. What is prob of sequence goyw? Result: 1/756 Qn: Calculate prob of sequence vvq when three letters picked without replacement from {v: 10, q: 6, z: 4}. Result: 3/38 Qn: Two letters picked without replacement from {x: 14, a: 4}. Give prob of sequence xx. Result: 91/153 Qn: What is prob of sequence bbx when three letters picked without replacement from {x: 7, k: 4, b: 6}? Result: 7/136 Qn: What is prob of sequence djww when four letters picked without replacement from {w: 2, d: 4, j: 3, u: 8}? Result: 1/2380 Qn: Two letters picked without replacement from stsjsltsstssspjspj. Give prob of sequence jt. Result: 1/34 Qn: Three letters picked without replacement from {m: 8, l: 1, h: 6, g: 1, y: 2}. What is prob of sequence gym? Result: 1/306 Qn: Calculate prob of sequence ggg when three letters picked without replacement from cggttltltqgzzzcc. Result: 1/560 Qn: Two letters picked without replacement from daadanbadd. Give prob of sequence nb. Result: 1/90 Qn: What is prob of sequence fhfl when four letters picked without replacement from {h: 1, o: 1, s: 4, l: 2, f: 2}? Result: 1/1260 Q
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probability: swr p level set ---------------------------- Q.: Calculate prob of picking 1 x and 3 d when four letters picked without replacement from dxdddddx. Result: 4/7 Q.: What is prob of picking 1 v, 1 r, 1 a, and 1 f when four letters picked without replacement from {v: 1, r: 1, a: 3, f: 4, q: 5}? Result: 12/1001 Q.: Three letters picked without replacement from kshmbfhb. Give prob of picking 1 m, 1 h, and 1 b. Result: 1/14 Q.: Calculate prob of picking 2 x when two letters picked without replacement from xxx. Result: 1 Q.: Calculate prob of picking 3 r when three letters picked without replacement from orrxoroogorrgoogr. Result: 1/34 Q.: Calculate prob of picking 3 n when three letters picked without replacement from nmnfllonlllnl. Result: 2/143 Q.: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {d: 1, y: 1, n: 2, k: 1}. Result: 1/10 Q.: What is prob of picking 2 e, 1 j, and 1 y when four letters picked without replacement from yejejejjeeejej? Result: 18/143 Q.: Three letters picked without replacement from oooooo. What is prob of picking 3 o? Result: 1 Q.: What is prob of picking 2 h and 2 j when four letters picked without replacement from {l: 1, h: 2, j: 2}? Result: 1/5 Q.: Calculate prob of picking 2 l and 1 d when three letters picked without replacement from jkdjlyjjjdjbblylkb. Result: 1/136 Q.: What is prob of picking 4 r when four letters picked without replacement from {t: 12, r: 6}? Result: 1/204 Q.: Calculate prob of picking 3 y when three letters picked without replacement from vhvhyyyhhh. Result: 1/120 Q.: What is prob of picking 1 x and 1 h when two letters picked without replacement from {x: 6, h: 1, w: 4}? Result: 6/55 Q.: Two letters picked without replacement from {x: 6, e: 2, z: 2, t: 3, y: 3}. Give prob of picking 1 e and 1 t. Result: 1/20 Q.: Calculate prob of picking 2 s when two letters picked without replacement from yysbsb. Result: 1/15 Q.: Four letters picked without replacement from ccccccclcl
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probability: swr p level set ---------------------------- Task: Calculate prob of picking 3 m and 1 g when four letters picked without replacement from eeedgmmmeegemgme. Calculation: 3/182 Task: What is prob of picking 1 y, 1 b, and 2 a when four letters picked without replacement from {a: 1, y: 1, w: 3, l: 4, b: 2}? Calculation: 0 Task: Three letters picked without replacement from {n: 9, y: 2, w: 5}. Give prob of picking 2 n and 1 w. Calculation: 9/28 Task: Two letters picked without replacement from {y: 1, z: 1, b: 3, n: 1, m: 7}. What is prob of picking 1 m and 1 n? Calculation: 7/78 Task: Three letters picked without replacement from {o: 6, l: 4}. Give prob of picking 1 l and 2 o. Calculation: 1/2 Task: Calculate prob of picking 2 z when two letters picked without replacement from {f: 2, z: 2, l: 2, e: 3}. Calculation: 1/36 Task: Three letters picked without replacement from {b: 2, p: 2, w: 4, t: 4, z: 5}. What is prob of picking 2 z and 1 b? Calculation: 1/34 Task: What is prob of picking 1 c and 2 i when three letters picked without replacement from cicicccc? Calculation: 3/28 Task: Four letters picked without replacement from ttttvdttcho. What is prob of picking 1 v, 1 c, 1 h, and 1 d? Calculation: 1/330 Task: Two letters picked without replacement from xxxxvqxxvnnvxvdv. What is prob of picking 1 d and 1 q? Calculation: 1/120 Task: What is prob of picking 1 n, 1 q, 1 s, and 1 v when four letters picked without replacement from {z: 4, v: 1, q: 1, s: 1, n: 2}? Calculation: 1/63 Task: Calculate prob of picking 1 w and 2 m when three letters picked without replacement from {v: 3, w: 1, m: 7, z: 3}. Calculation: 3/52 Task: Calculate prob of picking 1 t, 1 d, and 1 a when three letters picked without replacement from {t: 6, r: 1, d: 1, a: 2, l: 3}. Calculation: 6/143 Task: Two letters picked without replacement from {o: 3, n: 2, w: 6, l: 4}. Give prob of picking 2 o. Calculation: 1/35 Task: Two letters picked without replacement from uuhhdduhhuhuduuu. What is prob
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numbers: div remainder ---------------------- Conundrum: What is the remainder when 864 is divided by 97? = : 88 Conundrum: What is the remainder when 135114 is divided by 80? = : 74 Conundrum: Calculate the remainder when 213 is divided by 97. = : 19 Conundrum: What is the remainder when 383491 is divided by 38? = : 33 Conundrum: Calculate the remainder when 18045742 is divided by 15. = : 7 Conundrum: Calculate the remainder when 161272 is divided by 1642. = : 356 Conundrum: What is the remainder when 41932 is divided by 86? = : 50 Conundrum: What is the remainder when 122671 is divided by 2187? = : 199 Conundrum: What is the remainder when 49280 is divided by 70? = : 0 Conundrum: What is the remainder when 293 is divided by 60? = : 53 Conundrum: What is the remainder when 49368 is divided by 499? = : 466 Conundrum: Calculate the remainder when 8441924 is divided by 4390. = : 4344 Conundrum: What is the remainder when 41760 is divided by 197? = : 193 Conundrum: Calculate the remainder when 1096061 is divided by 64. = : 61 Conundrum: Calculate the remainder when 31480 is divided by 483. = : 85 Conundrum: Calculate the remainder when 3729994 is divided by 241. = : 37 Conundrum: What is the remainder when 5935 is divided by 58? = : 19 Conundrum: What is the remainder when 29 is divided by 12? = : 5 Conundrum: What is the remainder when 22498 is divided by 22486? = : 12 Conundrum: What is the remainder when 34979 is divided by 362? = : 227 Conundrum: What is the remainder when 22147 is divided by 226? = : 225 Conundrum: Calculate the remainder when 2212592 is divided by 13574. = : 30 Conundrum: What is the remainder when 2412 is divided by 78? = : 72 Conundrum: Calculate the remainder when 2320 is divided by 1096. = : 128 Conundrum: What is the remainder when 27 is divided by 16? = : 11 Conundrum: Calculate the remainder when 26628 is divided by 6643. = : 56 Conundrum: What is the remainder when 1901986 is divided by 633972? = : 70 Conundrum: Calculate the remainder wh
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numbers: place value -------------------- Q): What is the hundreds digit of 16737? Answer: 7 Q): What is the thousands digit of 5639669? Answer: 9 Q): What is the hundreds digit of 88309269? Answer: 2 Q): What is the thousands digit of 17878934? Answer: 8 Q): What is the ten thousands digit of 248169141? Answer: 6 Q): What is the hundreds digit of 354899570? Answer: 5 Q): What is the hundreds digit of 309747455? Answer: 4 Q): What is the tens digit of 839? Answer: 3 Q): What is the thousands digit of 263439327? Answer: 9 Q): What is the tens digit of 1285? Answer: 8 Q): What is the units digit of 119884? Answer: 4 Q): What is the tens digit of 19347? Answer: 4 Q): What is the hundred millions digit of 545416590? Answer: 5 Q): What is the hundred thousands digit of 1600622924? Answer: 6 Q): What is the tens digit of 454805? Answer: 0 Q): What is the hundred thousands digit of 210737323? Answer: 7 Q): What is the millions digit of 193703692? Answer: 3 Q): What is the millions digit of 6032328? Answer: 6 Q): What is the hundreds digit of 42562530? Answer: 5 Q): What is the hundred thousands digit of 144845? Answer: 1 Q): What is the hundred millions digit of 124266102? Answer: 1 Q): What is the hundreds digit of 245887890? Answer: 8 Q): What is the tens digit of 261? Answer: 6 Q): What is the hundred thousands digit of 2227545? Answer: 2 Q): What is the tens digit of 3746? Answer: 4 Q): What is the thousands digit of 1765505? Answer: 5 Q): What is the hundreds digit of 1379222? Answer: 2 Q): What is the tens digit of 3014? Answer: 1 Q): What is the hundreds digit of 21902512? Answer: 5 Q): What is the hundreds digit of 117970707? Answer: 7 Q): What is the ten thousands digit of 7602108? Answer: 0 Q): What is the hundred thousands digit of 283159? Answer: 2 Q): What is the hundred thousands digit of 1507625692? Answer: 6 Q): What is the hundred millions digit of 9080314684? Answer: 0 Q): What is the ten millions digit of 452030573? Answer: 5 Q): What is the thousands di
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measurement: conversion ----------------------- Qn: Convert 355170.3 millennia to decades. Fix: 35517030 Qn: What is five quarters of a microsecond in nanoseconds? Fix: 1250 Qn: What is 766.4608nm in micrometers? Fix: 0.7664608 Qn: What is one quarter of a millennium in months? Fix: 3000 Qn: How many microseconds are there in 46869.33ms? Fix: 46869330 Qn: How many meters are there in 0.5734052cm? Fix: 0.005734052 Qn: Convert 857.8492 tonnes to kilograms. Fix: 857849.2 Qn: How many litres are there in 56847.12 millilitres? Fix: 56.84712 Qn: What is eight thirds of a millennium in months? Fix: 32000 Qn: What is 11/10 of a microgram in nanograms? Fix: 1100 Qn: How many meters are there in 441744.1um? Fix: 0.4417441 Qn: How many tonnes are there in 62643.65 kilograms? Fix: 62.64365 Qn: What is 93.62002 millilitres in litres? Fix: 0.09362002 Qn: How many litres are there in 0.325868ml? Fix: 0.000325868 Qn: How many decades are there in 187.6665 months? Fix: 1.5638875 Qn: What is nine tenths of a tonne in kilograms? Fix: 900 Qn: How many milliseconds are there in 879.4163 minutes? Fix: 52764978 Qn: How many millimeters are there in 6/5 of a centimeter? Fix: 12 Qn: How many decades are there in 13/4 of a millennium? Fix: 325 Qn: How many millimeters are there in eleven quarters of a meter? Fix: 2750 Qn: How many years are there in 21/4 of a century? Fix: 525 Qn: How many millimeters are there in eleven quarters of a meter? Fix: 2750 Qn: How many years are there in 16772.29 centuries? Fix: 1677229 Qn: How many seconds are there in eighty-five sixths of a hour? Fix: 51000 Qn: What is 1/4 of a kilogram in grams? Fix: 250 Qn: What is 71733.63ml in litres? Fix: 71.73363 Qn: How many kilograms are there in 371.1901 milligrams? Fix: 0.0003711901 Qn: How many years are there in 1715.809 decades? Fix: 17158.09 Qn: What is 65561.55 minutes in hours? Fix: 1092.6925 Qn: What is 3.429226km in micrometers? Fix: 3429226000 Qn: What is 5/4 of a millennium in months? Fix: 15000 Qn: How man
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arithmetic: nearest integer root -------------------------------- Part A: What is 11005 to the power of 1/2, to the nearest integer? Explanation: 105 Part A: What is the tenth root of 9479965 to the nearest integer? Explanation: 5 Part A: What is the third root of 237149485 to the nearest integer? Explanation: 619 Part A: What is 117980 to the power of 1/2, to the nearest integer? Explanation: 343 Part A: What is the cube root of 23145 to the nearest integer? Explanation: 28 Part A: What is the square root of 1262363 to the nearest integer? Explanation: 1124 Part A: What is 71467 to the power of 1/2, to the nearest integer? Explanation: 267 Part A: What is 681570457 to the power of 1/9, to the nearest integer? Explanation: 10 Part A: What is the third root of 42803 to the nearest integer? Explanation: 35 Part A: What is the cube root of 990695302 to the nearest integer? Explanation: 997 Part A: What is 10799 to the power of 1/2, to the nearest integer? Explanation: 104 Part A: What is the cube root of 205335 to the nearest integer? Explanation: 59 Part A: What is 1169 to the power of 1/3, to the nearest integer? Explanation: 11 Part A: What is the square root of 38044 to the nearest integer? Explanation: 195 Part A: What is the third root of 186195511 to the nearest integer? Explanation: 571 Part A: What is 191664 to the power of 1/2, to the nearest integer? Explanation: 438 Part A: What is the cube root of 571397 to the nearest integer? Explanation: 83 Part A: What is the third root of 481833677 to the nearest integer? Explanation: 784 Part A: What is 3615 to the power of 1/2, to the nearest integer? Explanation: 60 Part A: What is the sixth root of 286278251 to the nearest integer? Explanation: 26 Part A: What is the cube root of 180757037 to the nearest integer? Explanation: 565 Part A: What is 80914466 to the power of 1/8, to the nearest integer? Explanation: 10 Part A: What is 15220 to the power of 1/2, to the nearest integer? Explanation: 123 Part A: What is t
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measurement: time ----------------- Question: What is 617 minutes after 10:15 PM? Outcome: 8:32 AM Question: What is 36 minutes after 11:54 AM? Outcome: 12:30 PM Question: What is 292 minutes after 12:29 AM? Outcome: 5:21 AM Question: How many minutes are there between 7:10 PM and 12:32 AM? Outcome: 322 Question: How many minutes are there between 4:45 AM and 11:54 AM? Outcome: 429 Question: How many minutes are there between 4:35 AM and 3:09 PM? Outcome: 634 Question: How many minutes are there between 7:08 PM and 3:48 AM? Outcome: 520 Question: What is 627 minutes after 9:27 AM? Outcome: 7:54 PM Question: How many minutes are there between 10:20 PM and 2:50 AM? Outcome: 270 Question: How many minutes are there between 1:36 AM and 12:19 PM? Outcome: 643 Question: What is 624 minutes after 5:34 AM? Outcome: 3:58 PM Question: What is 270 minutes before 7:59 AM? Outcome: 3:29 AM Question: How many minutes are there between 5:12 PM and 7:02 PM? Outcome: 110 Question: What is 331 minutes after 8:35 PM? Outcome: 2:06 AM Question: How many minutes are there between 9:20 PM and 3:33 AM? Outcome: 373 Question: What is 448 minutes before 9:45 PM? Outcome: 2:17 PM Question: What is 549 minutes before 4:02 PM? Outcome: 6:53 AM Question: How many minutes are there between 11:19 AM and 9:00 PM? Outcome: 581 Question: What is 693 minutes after 7:33 PM? Outcome: 7:06 AM Question: What is 127 minutes before 5:19 AM? Outcome: 3:12 AM Question: How many minutes are there between 12:37 AM and 6:04 AM? Outcome: 327 Question: What is 485 minutes after 9:45 PM? Outcome: 5:50 AM Question: How many minutes are there between 12:00 PM and 12:38 PM? Outcome: 38 Question: How many minutes are there between 3:42 PM and 6:07 PM? Outcome: 145 Question: How many minutes are there between 5:00 AM and 11:40 AM? Outcome: 400 Question: How many minutes are there between 1:57 PM and 10:09 PM? Outcome: 492 Question: How many minutes are there between 12:32 PM and 8:55 PM? Outcome: 503 Question: How many
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measurement: conversion ----------------------- Let: How many millilitres are there in 151638.8l? Steps: 151638800 Let: What is 8/3 of a day in minutes? Steps: 3840 Let: What is 6.406932 nanoseconds in milliseconds? Steps: 0.000006406932 Let: What is 13/4 of a year in months? Steps: 39 Let: What is 37/5 of a century in months? Steps: 8880 Let: How many millimeters are there in 7/25 of a meter? Steps: 280 Let: How many decades are there in thirty-one fifths of a millennium? Steps: 620 Let: How many litres are there in 773414.1ml? Steps: 773.4141 Let: Convert 6796.894l to millilitres. Steps: 6796894 Let: Convert 1118.186559s to weeks. Steps: 0.0018488534375 Let: What is 330.1566ml in litres? Steps: 0.3301566 Let: Convert 86250.01 micrograms to grams. Steps: 0.08625001 Let: How many minutes are there in 4.436331 weeks? Steps: 44718.21648 Let: How many nanometers are there in 5170.81um? Steps: 5170810 Let: What is 17.5121 centuries in decades? Steps: 175.121 Let: What is 940.4678 centuries in decades? Steps: 9404.678 Let: What is 41.29806cm in kilometers? Steps: 0.0004129806 Let: How many minutes are there in five eighths of a day? Steps: 900 Let: Convert 863799.9 millennia to months. Steps: 10365598800 Let: What is 298.4631km in millimeters? Steps: 298463100 Let: How many months are there in 75/4 of a decade? Steps: 2250 Let: What is 6/5 of a litre in millilitres? Steps: 1200 Let: What is 10/3 of a decade in months? Steps: 400 Let: How many months are there in twenty-one halves of a year? Steps: 126 Let: What is 938.594 weeks in microseconds? Steps: 567661651200000 Let: What is eleven quarters of a litre in millilitres? Steps: 2750 Let: What is twenty-five eighths of a kilometer in meters? Steps: 3125 Let: How many millilitres are there in 347.4797 litres? Steps: 347479.7 Let: What is 1/36 of a day in minutes? Steps: 40 Let: What is 27/5 of a millennium in centuries? Steps: 54 Let: How many months are there in twenty-three thirds of a millennium? Steps: 92000 Let: How
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numbers: is prime ----------------- Example: Is 34951247 a composite number? Therefore: False Example: Is 58963 a composite number? Therefore: False Example: Is 34793 prime? Therefore: False Example: Is 235334269 a prime number? Therefore: True Example: Is 492624977 composite? Therefore: True Example: Is 232043 a composite number? Therefore: True Example: Is 2163353209 a prime number? Therefore: True Example: Is 144103 prime? Therefore: True Example: Is 174649 a prime number? Therefore: True Example: Is 7611541331 prime? Therefore: True Example: Is 3873541999 composite? Therefore: True Example: Is 299 prime? Therefore: False Example: Is 75206556851 a composite number? Therefore: True Example: Is 372164873 composite? Therefore: True Example: Is 87434099 composite? Therefore: True Example: Is 719 a composite number? Therefore: False Example: Is 458789 a composite number? Therefore: False Example: Is 70014943237 composite? Therefore: False Example: Is 1234951559 a composite number? Therefore: True Example: Is 129253001 prime? Therefore: True Example: Is 151012639 prime? Therefore: True Example: Is 4861 prime? Therefore: True Example: Is 1123 composite? Therefore: False Example: Is 948445103 a prime number? Therefore: False Example: Is 177099049 a prime number? Therefore: False Example: Is 833792651 composite? Therefore: False Example: Is 62487501 a prime number? Therefore: False Example: Is 498927161 a prime number? Therefore: False Example: Is 862629067 prime? Therefore: True Example: Is 3756308581 a composite number? Therefore: False Example: Is 2096123 composite? Therefore: False Example: Is 55982165143 a prime number? Therefore: False Example: Is 21379 prime? Therefore: True Example: Is 19642031 prime? Therefore: False Example: Is 358095163 a composite number? Therefore: False Example: Is 1361 a composite number? Therefore: False Example: Is 18664747 a prime number? Therefore: True Example: Is 47217626971 a prime number? Therefore: False Example: Is 70197985213 pri
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probability: swr p sequence --------------------------- Example: Calculate prob of sequence ttv when three letters picked without replacement from tvzvtttvvzz. Output: 8/165 Example: Calculate prob of sequence aba when three letters picked without replacement from abaaab. Output: 1/5 Example: What is prob of sequence vemm when four letters picked without replacement from {v: 1, m: 3, e: 2, i: 1}? Output: 1/70 Example: Three letters picked without replacement from ueqeqjpeeeeqpuuqjqej. What is prob of sequence eup? Output: 7/1140 Example: What is prob of sequence zc when two letters picked without replacement from hsczschczzhzzgzzclh? Output: 14/171 Example: Three letters picked without replacement from {o: 4, z: 4, i: 6, a: 3, v: 2, c: 1}. What is prob of sequence aii? Output: 1/76 Example: Two letters picked without replacement from {o: 12, v: 6, p: 1}. What is prob of sequence op? Output: 2/57 Example: Calculate prob of sequence gsw when three letters picked without replacement from gosowsswossosots. Output: 1/240 Example: Four letters picked without replacement from {j: 5, w: 9}. What is prob of sequence jwww? Output: 15/143 Example: What is prob of sequence ue when two letters picked without replacement from {e: 2, n: 2, u: 1, t: 1}? Output: 1/15 Example: Two letters picked without replacement from {a: 2, j: 1, s: 2}. Give prob of sequence ja. Output: 1/10 Example: Two letters picked without replacement from {a: 4}. What is prob of sequence aa? Output: 1 Example: Two letters picked without replacement from pppccc. What is prob of sequence pc? Output: 3/10 Example: Calculate prob of sequence qq when two letters picked without replacement from nnqrrqqqnq. Output: 2/9 Example: What is prob of sequence ffff when four letters picked without replacement from sfqqsffqsffqq? Output: 1/143 Example: Four letters picked without replacement from uxjjuhjjjhrjjrhh. What is prob of sequence uuhh? Output: 1/1820 Example: What is prob of sequence ruu when three letters picked wi
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numbers: is prime ----------------- Puzzle: Is 403 prime? Eval: False Puzzle: Is 1520540698 composite? Eval: True Puzzle: Is 27997 composite? Eval: False Puzzle: Is 52031 a prime number? Eval: False Puzzle: Is 2339219059 prime? Eval: True Puzzle: Is 1027 prime? Eval: False Puzzle: Is 6421 a composite number? Eval: False Puzzle: Is 286375021 prime? Eval: False Puzzle: Is 105883 a composite number? Eval: False Puzzle: Is 14171 a prime number? Eval: False Puzzle: Is 19806588181 a prime number? Eval: True Puzzle: Is 374017229 a prime number? Eval: True Puzzle: Is 530407877 composite? Eval: False Puzzle: Is 177467 prime? Eval: True Puzzle: Is 2470079 a prime number? Eval: True Puzzle: Is 4937 composite? Eval: False Puzzle: Is 4391 composite? Eval: False Puzzle: Is 27375354863 a prime number? Eval: True Puzzle: Is 20196299 prime? Eval: True Puzzle: Is 158365807 prime? Eval: True Puzzle: Is 485 composite? Eval: True Puzzle: Is 25647478091 a prime number? Eval: True Puzzle: Is 61801097 prime? Eval: False Puzzle: Is 3445129 a prime number? Eval: False Puzzle: Is 50647519631 a composite number? Eval: True Puzzle: Is 23045574883 prime? Eval: False Puzzle: Is 1086017 a composite number? Eval: True Puzzle: Is 29063449 composite? Eval: False Puzzle: Is 29039 prime? Eval: False Puzzle: Is 212452180667 composite? Eval: False Puzzle: Is 1257009023 a composite number? Eval: False Puzzle: Is 172709 prime? Eval: True Puzzle: Is 16272330103 a composite number? Eval: False Puzzle: Is 63564136819 a composite number? Eval: True Puzzle: Is 446 composite? Eval: True Puzzle: Is 10453 a prime number? Eval: True Puzzle: Is 2981592839 prime? Eval: False Puzzle: Is 39523365713 a prime number? Eval: False Puzzle: Is 56461 prime? Eval: False Puzzle: Is 76303 composite? Eval: False Puzzle: Is 93049849 composite? Eval: False Puzzle: Is 364755397 composite? Eval: False Puzzle: Is 67243 prime? Eval: False Puzzle: Is 38171519 a composite number? Eval: False Puzzle: Is 91727 prime? Eval: False Puzzle: Is
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measurement: time ----------------- Input: How many minutes are there between 9:41 AM and 2:06 PM? Final Answer: 265 Input: What is 535 minutes after 8:54 AM? Final Answer: 5:49 PM Input: What is 344 minutes after 12:47 AM? Final Answer: 6:31 AM Input: What is 33 minutes after 2:24 AM? Final Answer: 2:57 AM Input: What is 265 minutes after 9:58 AM? Final Answer: 2:23 PM Input: What is 707 minutes before 3:20 PM? Final Answer: 3:33 AM Input: What is 309 minutes before 6:34 AM? Final Answer: 1:25 AM Input: What is 184 minutes after 11:47 PM? Final Answer: 2:51 AM Input: What is 457 minutes after 9:12 AM? Final Answer: 4:49 PM Input: How many minutes are there between 6:12 PM and 1:11 AM? Final Answer: 419 Input: What is 719 minutes after 8:15 PM? Final Answer: 8:14 AM Input: What is 153 minutes before 5:25 AM? Final Answer: 2:52 AM Input: How many minutes are there between 4:43 PM and 9:46 PM? Final Answer: 303 Input: What is 36 minutes after 12:34 AM? Final Answer: 1:10 AM Input: How many minutes are there between 3:45 AM and 11:23 AM? Final Answer: 458 Input: What is 617 minutes before 12:20 AM? Final Answer: 2:03 PM Input: What is 402 minutes before 6:11 AM? Final Answer: 11:29 PM Input: How many minutes are there between 2:28 AM and 5:20 AM? Final Answer: 172 Input: How many minutes are there between 10:51 AM and 3:51 PM? Final Answer: 300 Input: How many minutes are there between 9:28 AM and 7:00 PM? Final Answer: 572 Input: What is 41 minutes after 9:12 PM? Final Answer: 9:53 PM Input: How many minutes are there between 11:01 AM and 8:14 PM? Final Answer: 553 Input: How many minutes are there between 9:19 PM and 2:39 AM? Final Answer: 320 Input: How many minutes are there between 7:08 AM and 10:32 AM? Final Answer: 204 Input: How many minutes are there between 9:35 PM and 10:15 PM? Final Answer: 40 Input: How many minutes are there between 12:12 AM and 6:51 AM? Final Answer: 399 Input: How many minutes are there between 5:08 PM and 5:47 PM? Final Answer: 39 Inpu
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numbers: gcd ------------ Q: What is the highest common divisor of 30321684 and 142650? A: 5706 Q: Calculate the greatest common factor of 412 and 16. A: 4 Q: What is the greatest common factor of 146560 and 124805? A: 1145 Q: Calculate the greatest common divisor of 2374546 and 7439. A: 43 Q: What is the highest common divisor of 19 and 266? A: 19 Q: Calculate the highest common factor of 164518299 and 603. A: 603 Q: What is the greatest common factor of 1225 and 147? A: 49 Q: What is the greatest common factor of 128 and 1888? A: 32 Q: What is the highest common factor of 891990 and 82110? A: 510 Q: Calculate the greatest common divisor of 7 and 7. A: 7 Q: Calculate the greatest common factor of 1659396 and 96. A: 12 Q: What is the highest common factor of 4150 and 50? A: 50 Q: Calculate the highest common divisor of 2754 and 322524. A: 306 Q: Calculate the highest common factor of 18300895 and 285. A: 95 Q: What is the highest common divisor of 83200 and 325? A: 325 Q: What is the highest common divisor of 585 and 13572? A: 117 Q: Calculate the highest common divisor of 83 and 3176825. A: 83 Q: What is the greatest common factor of 7017556 and 14? A: 14 Q: Calculate the greatest common factor of 590 and 100. A: 10 Q: What is the highest common factor of 1230 and 22080? A: 30 Q: Calculate the greatest common divisor of 19182 and 689718. A: 834 Q: Calculate the greatest common factor of 1764336 and 295836. A: 1068 Q: Calculate the highest common factor of 288 and 128. A: 32 Q: Calculate the greatest common divisor of 663 and 2171002. A: 17 Q: What is the greatest common divisor of 216 and 108? A: 108 Q: Calculate the greatest common factor of 11174 and 5877746. A: 74 Q: Calculate the greatest common factor of 6001 and 9197. A: 17 Q: What is the highest common divisor of 196 and 616? A: 28 Q: What is the greatest common divisor of 28854 and 42? A: 42 Q: What is the greatest common divisor of 5980 and 6955? A: 65 Q: Calculate the greatest common factor of 25021 and 1
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arithmetic: nearest integer root -------------------------------- Test item: What is the third root of 280 to the nearest integer? Clarification: 7 Test item: What is the fifth root of 8035272 to the nearest integer? Clarification: 24 Test item: What is 40178 to the power of 1/3, to the nearest integer? Clarification: 34 Test item: What is the cube root of 5954 to the nearest integer? Clarification: 18 Test item: What is 9417239 to the power of 1/2, to the nearest integer? Clarification: 3069 Test item: What is the fourth root of 455206349 to the nearest integer? Clarification: 146 Test item: What is the third root of 362762621 to the nearest integer? Clarification: 713 Test item: What is 31848555 to the power of 1/6, to the nearest integer? Clarification: 18 Test item: What is the fifth root of 112986871 to the nearest integer? Clarification: 41 Test item: What is the square root of 61117588 to the nearest integer? Clarification: 7818 Test item: What is 83006830 to the power of 1/4, to the nearest integer? Clarification: 95 Test item: What is 9234484 to the power of 1/9, to the nearest integer? Clarification: 6 Test item: What is the cube root of 18479829 to the nearest integer? Clarification: 264 Test item: What is the square root of 4219 to the nearest integer? Clarification: 65 Test item: What is 28904815 to the power of 1/10, to the nearest integer? Clarification: 6 Test item: What is the third root of 1863 to the nearest integer? Clarification: 12 Test item: What is 610 to the power of 1/3, to the nearest integer? Clarification: 8 Test item: What is the cube root of 12143631 to the nearest integer? Clarification: 230 Test item: What is the cube root of 2916956720 to the nearest integer? Clarification: 1429 Test item: What is the cube root of 228 to the nearest integer? Clarification: 6 Test item: What is 285 to the power of 1/2, to the nearest integer? Clarification: 17 Test item: What is the fourth root of 2528900904 to the nearest integer? Clarification: 224
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numbers: lcm ------------ Conundrum: Find the common denominator of 13/264 and 71/88. Outcome: 264 Conundrum: Calculate the smallest common multiple of 6761304 and 24288. Outcome: 622039968 Conundrum: What is the smallest common multiple of 764544 and 8688? Outcome: 764544 Conundrum: What is the common denominator of -101/195 and 59/39780? Outcome: 39780 Conundrum: Find the common denominator of 71/174906 and -67/29151. Outcome: 174906 Conundrum: Calculate the least common multiple of 58530 and 88. Outcome: 2575320 Conundrum: What is the least common multiple of 48402 and 225876? Outcome: 677628 Conundrum: What is the smallest common multiple of 53 and 440274? Outcome: 23334522 Conundrum: What is the lowest common multiple of 560 and 83720? Outcome: 167440 Conundrum: Calculate the common denominator of -67/403275 and 17/6. Outcome: 806550 Conundrum: Calculate the lowest common multiple of 103480 and 26. Outcome: 103480 Conundrum: Calculate the smallest common multiple of 7815 and 10941. Outcome: 54705 Conundrum: What is the least common multiple of 21 and 117276? Outcome: 820932 Conundrum: Calculate the common denominator of 17/110 and -129/260. Outcome: 2860 Conundrum: What is the least common multiple of 45 and 24? Outcome: 360 Conundrum: What is the smallest common multiple of 430 and 344? Outcome: 1720 Conundrum: Calculate the lowest common multiple of 14 and 846104. Outcome: 846104 Conundrum: Find the common denominator of 63/20 and 67/20. Outcome: 20 Conundrum: What is the common denominator of -65/13825668 and -97/1196? Outcome: 179733684 Conundrum: Find the common denominator of -75/8 and 19/603760. Outcome: 603760 Conundrum: Calculate the least common multiple of 490 and 4680. Outcome: 229320 Conundrum: Calculate the common denominator of -11/58 and -80/21. Outcome: 1218 Conundrum: Calculate the least common multiple of 356 and 11458750. Outcome: 22917500 Conundrum: What is the common denominator of -4/241758733 and -17/8? Outcome: 1934069864 Conundrum: Cal
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probability: swr p level set ---------------------------- Part A: Three letters picked without replacement from {r: 2, n: 1, m: 4, t: 4}. Give prob of picking 1 t and 2 r. A.: 4/165 Part A: Four letters picked without replacement from llloololoo. What is prob of picking 2 o and 2 l? A.: 10/21 Part A: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {x: 2, g: 2, h: 1, l: 4, m: 1}. A.: 8/45 Part A: Two letters picked without replacement from annaamnaana. What is prob of picking 1 a and 1 n? A.: 24/55 Part A: Three letters picked without replacement from ssjrssjrsbsssn. What is prob of picking 2 s and 1 j? A.: 2/13 Part A: Calculate prob of picking 1 j, 1 q, 1 i, and 1 b when four letters picked without replacement from {j: 2, b: 1, c: 1, q: 4, i: 1}. A.: 4/63 Part A: Calculate prob of picking 1 q, 2 a, and 1 w when four letters picked without replacement from qawawqwwwq. A.: 1/14 Part A: What is prob of picking 1 n and 1 i when two letters picked without replacement from {n: 1, y: 3, i: 4, p: 1, t: 6}? A.: 4/105 Part A: What is prob of picking 1 a and 1 z when two letters picked without replacement from {w: 4, z: 1, h: 2, a: 1}? A.: 1/28 Part A: Calculate prob of picking 2 e when two letters picked without replacement from {w: 1, l: 3, e: 7, m: 1, s: 2}. A.: 3/13 Part A: What is prob of picking 1 h, 2 x, and 1 l when four letters picked without replacement from xlxhhl? A.: 4/15 Part A: Calculate prob of picking 1 d, 2 u, and 1 p when four letters picked without replacement from {a: 1, d: 8, k: 1, p: 5, u: 2}. A.: 2/119 Part A: Three letters picked without replacement from sssddsd. What is prob of picking 1 d and 2 s? A.: 18/35 Part A: Two letters picked without replacement from {c: 7, q: 3, e: 4, z: 5}. What is prob of picking 2 e? A.: 2/57 Part A: Four letters picked without replacement from dtdddddfd. What is prob of picking 2 t, 1 f, and 1 d? A.: 0 Part A: What is prob of picking 1 i and 1 m when two letters picked without repl
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numbers: is prime ----------------- Given: Is 70304385017 a composite number? Output: False Given: Is 3523599687 prime? Output: False Given: Is 2105183 composite? Output: False Given: Is 113966 composite? Output: True Given: Is 4627891 a prime number? Output: False Given: Is 1282 composite? Output: True Given: Is 19841 a prime number? Output: True Given: Is 51978162361 a prime number? Output: True Given: Is 151769 a prime number? Output: True Given: Is 63913 prime? Output: True Given: Is 48707 prime? Output: False Given: Is 40282229 a prime number? Output: False Given: Is 433661779 prime? Output: False Given: Is 12979597 a composite number? Output: False Given: Is 701567 a prime number? Output: False Given: Is 99294226 prime? Output: False Given: Is 23393491 a prime number? Output: False Given: Is 4767628933 a prime number? Output: False Given: Is 240668767 composite? Output: True Given: Is 298553 prime? Output: False Given: Is 131867 a composite number? Output: True Given: Is 61121 composite? Output: False Given: Is 7497044449 a composite number? Output: False Given: Is 223111 a prime number? Output: False Given: Is 1401407 composite? Output: True Given: Is 7069 prime? Output: True Given: Is 221754761 composite? Output: False Given: Is 272177357 a composite number? Output: True Given: Is 196414859 a prime number? Output: True Given: Is 5501 a prime number? Output: True Given: Is 206993 a composite number? Output: False Given: Is 350098087 a prime number? Output: True Given: Is 64886669 a prime number? Output: False Given: Is 36240271759 prime? Output: True Given: Is 62533 a composite number? Output: False Given: Is 46993 composite? Output: False Given: Is 22321171381 composite? Output: True Given: Is 284960872415 composite? Output: True Given: Is 28006607819 a prime number? Output: True Given: Is 304063 a composite number? Output: False Given: Is 8381850749 a composite number? Output: False Given: Is 47123475257 a prime number? Output: False Given: Is 760739 compos
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arithmetic: nearest integer root -------------------------------- Given: What is the third root of 1682280771 to the nearest integer? Answer: 1189 Given: What is 7764 to the power of 1/3, to the nearest integer? Answer: 20 Given: What is 3332 to the power of 1/5, to the nearest integer? Answer: 5 Given: What is 7894 to the power of 1/8, to the nearest integer? Answer: 3 Given: What is the square root of 1715754583 to the nearest integer? Answer: 41422 Given: What is 2543384 to the power of 1/5, to the nearest integer? Answer: 19 Given: What is the tenth root of 1974597780 to the nearest integer? Answer: 9 Given: What is 2099920 to the power of 1/7, to the nearest integer? Answer: 8 Given: What is 12411796 to the power of 1/2, to the nearest integer? Answer: 3523 Given: What is the eighth root of 1017978219 to the nearest integer? Answer: 13 Given: What is the ninth root of 11738 to the nearest integer? Answer: 3 Given: What is 503 to the power of 1/8, to the nearest integer? Answer: 2 Given: What is the third root of 35867 to the nearest integer? Answer: 33 Given: What is the third root of 321 to the nearest integer? Answer: 7 Given: What is 8040095 to the power of 1/3, to the nearest integer? Answer: 200 Given: What is 84600 to the power of 1/2, to the nearest integer? Answer: 291 Given: What is 598657593 to the power of 1/7, to the nearest integer? Answer: 18 Given: What is the tenth root of 3923561314 to the nearest integer? Answer: 9 Given: What is 587284 to the power of 1/2, to the nearest integer? Answer: 766 Given: What is the sixth root of 1187343 to the nearest integer? Answer: 10 Given: What is 1015054 to the power of 1/5, to the nearest integer? Answer: 16 Given: What is the square root of 3705270 to the nearest integer? Answer: 1925 Given: What is the fourth root of 27479294 to the nearest integer? Answer: 72 Given: What is 7182695 to the power of 1/10, to the nearest integer? Answer: 5 Given: What is the seventh root of 186746 to the nearest integer? An
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probability: swr p level set ---------------------------- Situation: Calculate prob of picking 1 w, 1 b, and 1 j when three letters picked without replacement from {y: 5, w: 1, r: 3, j: 3, b: 3}. Workthrough: 9/455 Situation: What is prob of picking 2 t when two letters picked without replacement from {d: 1, g: 4, b: 2, e: 1, t: 4, f: 2}? Workthrough: 6/91 Situation: Three letters picked without replacement from ueeeeeuu. Give prob of picking 3 u. Workthrough: 1/56 Situation: What is prob of picking 1 y and 1 c when two letters picked without replacement from cciiciicicy? Workthrough: 1/11 Situation: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from bcbooiik. Workthrough: 1/14 Situation: What is prob of picking 1 k and 3 p when four letters picked without replacement from {k: 4, p: 14}? Workthrough: 364/765 Situation: Three letters picked without replacement from {s: 3, g: 1, z: 5, d: 1}. Give prob of picking 1 g and 2 z. Workthrough: 1/12 Situation: Two letters picked without replacement from vddujptt. What is prob of picking 1 j and 1 p? Workthrough: 1/28 Situation: Two letters picked without replacement from qmmqqmqmomm. What is prob of picking 2 m? Workthrough: 3/11 Situation: Calculate prob of picking 2 a when two letters picked without replacement from rakra. Workthrough: 1/10 Situation: Two letters picked without replacement from {f: 6, r: 13}. Give prob of picking 1 f and 1 r. Workthrough: 26/57 Situation: What is prob of picking 1 y and 1 g when two letters picked without replacement from {h: 1, u: 1, e: 2, w: 1, g: 2, y: 1}? Workthrough: 1/14 Situation: Calculate prob of picking 2 d and 1 w when three letters picked without replacement from iiwwdssfsddwieie. Workthrough: 9/560 Situation: Two letters picked without replacement from {f: 12, z: 4, w: 4}. What is prob of picking 1 z and 1 f? Workthrough: 24/95 Situation: Two letters picked without replacement from {u: 8, q: 4, x: 4, p: 4}. What is prob of picking 1 u and 1
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probability: swr p sequence --------------------------- Situation: Four letters picked without replacement from kwsckhskssskssckk. Give prob of sequence wsks. A: 3/680 Situation: What is prob of sequence osol when four letters picked without replacement from {l: 1, o: 4, s: 1, r: 2, u: 1}? A: 1/252 Situation: Calculate prob of sequence vcc when three letters picked without replacement from {c: 4, l: 5, v: 4, y: 3}. A: 1/70 Situation: Calculate prob of sequence mnm when three letters picked without replacement from emmeeeneenenmennm. A: 1/68 Situation: What is prob of sequence wu when two letters picked without replacement from {u: 1, f: 1, m: 2, q: 1, r: 2, w: 1}? A: 1/56 Situation: Three letters picked without replacement from bdbddddbdbbddbbbbbd. Give prob of sequence dbb. A: 45/323 Situation: Four letters picked without replacement from {q: 3, g: 1, i: 6, p: 2, k: 2}. Give prob of sequence ggkg. A: 0 Situation: Calculate prob of sequence yzq when three letters picked without replacement from ddqyzdkddy. A: 1/360 Situation: What is prob of sequence hmhm when four letters picked without replacement from {m: 3, h: 7}? A: 1/20 Situation: What is prob of sequence lkm when three letters picked without replacement from lmkpllk? A: 1/35 Situation: Four letters picked without replacement from nnnnnlnnnlnnlnn. Give prob of sequence nnnl. A: 11/91 Situation: Four letters picked without replacement from pucco. What is prob of sequence ccou? A: 1/60 Situation: Four letters picked without replacement from gvuddnnguugdgd. What is prob of sequence nnvg? A: 1/3003 Situation: What is prob of sequence fff when three letters picked without replacement from fggffg? A: 1/20 Situation: What is prob of sequence ud when two letters picked without replacement from {u: 7, d: 4, h: 3}? A: 2/13 Situation: Three letters picked without replacement from lbblbbbabllblalbla. Give prob of sequence bba. A: 7/204 Situation: What is prob of sequence xc when two letters picked without replacement from
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numbers: place value -------------------- Qn: What is the hundreds digit of 222221195? Outcome: 1 Qn: What is the units digit of 1071? Outcome: 1 Qn: What is the hundreds digit of 40915190? Outcome: 1 Qn: What is the thousands digit of 98949726? Outcome: 9 Qn: What is the tens digit of 112818? Outcome: 1 Qn: What is the thousands digit of 78669? Outcome: 8 Qn: What is the hundreds digit of 39762877? Outcome: 8 Qn: What is the units digit of 2421086889? Outcome: 9 Qn: What is the thousands digit of 946806923? Outcome: 6 Qn: What is the tens digit of 6847? Outcome: 4 Qn: What is the units digit of 1913693? Outcome: 3 Qn: What is the hundred thousands digit of 8778492972? Outcome: 4 Qn: What is the ten millions digit of 181096932? Outcome: 8 Qn: What is the units digit of 194587? Outcome: 7 Qn: What is the hundred thousands digit of 184837? Outcome: 1 Qn: What is the tens digit of 32319? Outcome: 1 Qn: What is the tens digit of 14335? Outcome: 3 Qn: What is the thousands digit of 81110? Outcome: 1 Qn: What is the tens digit of 1134? Outcome: 3 Qn: What is the units digit of 175? Outcome: 5 Qn: What is the hundred millions digit of 168622984? Outcome: 1 Qn: What is the tens digit of 33880347? Outcome: 4 Qn: What is the tens digit of 50397? Outcome: 9 Qn: What is the units digit of 105270970? Outcome: 0 Qn: What is the thousands digit of 124297572? Outcome: 7 Qn: What is the ten thousands digit of 642391133? Outcome: 9 Qn: What is the hundred thousands digit of 314280658? Outcome: 2 Qn: What is the hundreds digit of 20126? Outcome: 1 Qn: What is the hundreds digit of 1982? Outcome: 9 Qn: What is the units digit of 8607630? Outcome: 0 Qn: What is the millions digit of 27059217? Outcome: 7 Qn: What is the millions digit of 27717302? Outcome: 7 Qn: What is the hundred thousands digit of 1589109? Outcome: 5 Qn: What is the tens digit of 268? Outcome: 6 Qn: What is the tens digit of 6676? Outcome: 7 Qn: What is the ten millions digit of 1827033405? Outcome: 2 Qn: What is the
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probability: swr p level set ---------------------------- Input: Four letters picked without replacement from {y: 11, q: 2}. What is prob of picking 1 q and 3 y? Ans: 6/13 Input: What is prob of picking 3 s when three letters picked without replacement from gbeeeseesgegebs? Ans: 1/455 Input: Four letters picked without replacement from {q: 1, c: 9, m: 1}. What is prob of picking 3 c and 1 q? Ans: 14/55 Input: What is prob of picking 2 p when two letters picked without replacement from {i: 3, g: 4, p: 2, y: 2, d: 2, u: 1}? Ans: 1/91 Input: What is prob of picking 1 y and 2 m when three letters picked without replacement from mmydjjjdyj? Ans: 1/60 Input: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from maammmmsasa. Ans: 8/55 Input: Three letters picked without replacement from nciciccuuiuuccciuccc. Give prob of picking 1 i and 2 u. Ans: 2/57 Input: Calculate prob of picking 3 d and 1 b when four letters picked without replacement from {v: 5, e: 4, d: 8, b: 2}. Ans: 28/969 Input: Four letters picked without replacement from {n: 3, c: 15}. What is prob of picking 4 c? Ans: 91/204 Input: Three letters picked without replacement from uuuuuuuuuuudduududu. What is prob of picking 3 u? Ans: 455/969 Input: Calculate prob of picking 2 k, 1 t, and 1 m when four letters picked without replacement from wmkptzmzptmzt. Ans: 0 Input: Calculate prob of picking 3 t when three letters picked without replacement from {x: 7, t: 6, z: 1}. Ans: 5/91 Input: What is prob of picking 4 u when four letters picked without replacement from ussussusuussssssss? Ans: 1/612 Input: Calculate prob of picking 2 c and 1 p when three letters picked without replacement from kddckdxckxpkpxkppkk. Ans: 4/969 Input: What is prob of picking 1 b, 2 m, and 1 f when four letters picked without replacement from bcmmbfb? Ans: 3/35 Input: Calculate prob of picking 3 o and 1 q when four letters picked without replacement from {q: 1, i: 3, o: 6, z: 8}. Ans: 1/153 Input: What is pro
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numbers: is prime ----------------- Prompt: Is 417899 prime? Workthrough: True Prompt: Is 8408778557 a composite number? Workthrough: False Prompt: Is 17544701 prime? Workthrough: True Prompt: Is 498335 composite? Workthrough: True Prompt: Is 489476321 prime? Workthrough: True Prompt: Is 533213 a prime number? Workthrough: True Prompt: Is 40830860513 a prime number? Workthrough: True Prompt: Is 146248999 composite? Workthrough: True Prompt: Is 20249 a prime number? Workthrough: True Prompt: Is 7268113031 prime? Workthrough: False Prompt: Is 4347479429 a prime number? Workthrough: False Prompt: Is 4042039 prime? Workthrough: False Prompt: Is 1069898743 composite? Workthrough: True Prompt: Is 32740871 composite? Workthrough: False Prompt: Is 746509679 a composite number? Workthrough: False Prompt: Is 10119444613 a composite number? Workthrough: False Prompt: Is 1672995151 composite? Workthrough: False Prompt: Is 1270723 a prime number? Workthrough: False Prompt: Is 456474251 prime? Workthrough: False Prompt: Is 177739 prime? Workthrough: True Prompt: Is 51719 composite? Workthrough: False Prompt: Is 36415 a composite number? Workthrough: True Prompt: Is 375553 a prime number? Workthrough: True Prompt: Is 16598466083 a prime number? Workthrough: False Prompt: Is 28131665 composite? Workthrough: True Prompt: Is 800656369 prime? Workthrough: True Prompt: Is 9038347 a composite number? Workthrough: False Prompt: Is 696569 a prime number? Workthrough: True Prompt: Is 643930198 prime? Workthrough: False Prompt: Is 4730789 composite? Workthrough: True Prompt: Is 145671563 prime? Workthrough: True Prompt: Is 13353719 prime? Workthrough: True Prompt: Is 16979 a prime number? Workthrough: True Prompt: Is 4842960721 prime? Workthrough: False Prompt: Is 1547695 a prime number? Workthrough: False Prompt: Is 13819587997 a prime number? Workthrough: False Prompt: Is 57597709 composite? Workthrough: True Prompt: Is 842599 prime? Workthrough: True Prompt: Is 34841 a prime number? Work
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probability: swr p sequence --------------------------- Qn: Two letters picked without replacement from {h: 2, y: 2, j: 1, n: 1}. Give prob of sequence hh. Answer: 1/15 Qn: Four letters picked without replacement from lutlttdldl. What is prob of sequence duld? Answer: 1/630 Qn: Four letters picked without replacement from {k: 3, c: 4}. What is prob of sequence ckkk? Answer: 1/35 Qn: Calculate prob of sequence wrll when four letters picked without replacement from {i: 2, r: 1, w: 1, l: 4}. Answer: 1/140 Qn: Calculate prob of sequence uuh when three letters picked without replacement from {w: 2, u: 3, c: 3, h: 6, q: 1}. Answer: 6/455 Qn: Two letters picked without replacement from {l: 7, r: 1, m: 5}. What is prob of sequence mr? Answer: 5/156 Qn: What is prob of sequence kr when two letters picked without replacement from aancucrakcauaaruuanc? Answer: 1/190 Qn: Two letters picked without replacement from {h: 1, f: 2, s: 4, r: 1, g: 1}. Give prob of sequence rf. Answer: 1/36 Qn: Calculate prob of sequence idj when three letters picked without replacement from {y: 2, d: 4, i: 1, j: 1, g: 2, w: 5}. Answer: 2/1365 Qn: Three letters picked without replacement from uguug. What is prob of sequence guu? Answer: 1/5 Qn: What is prob of sequence gm when two letters picked without replacement from {m: 1, g: 1, t: 2, c: 1}? Answer: 1/20 Qn: What is prob of sequence dww when three letters picked without replacement from sswsssaswsadaswwwaww? Answer: 7/1140 Qn: Three letters picked without replacement from {s: 3, b: 1, p: 5}. Give prob of sequence spb. Answer: 5/168 Qn: Three letters picked without replacement from {d: 5, h: 4, b: 1, s: 1, p: 4}. Give prob of sequence bhd. Answer: 2/273 Qn: Calculate prob of sequence kbk when three letters picked without replacement from {b: 11, k: 9}. Answer: 11/95 Qn: Three letters picked without replacement from yyyrytyttty. What is prob of sequence yyt? Answer: 4/33 Qn: Two letters picked without replacement from {z: 1, v: 1, k: 1, f: 1, p: 1}.
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numbers: gcd ------------ Exercise: Calculate the highest common factor of 5654 and 504724. Solution: 22 Exercise: What is the greatest common divisor of 1624 and 133? Solution: 7 Exercise: Calculate the greatest common factor of 504 and 12866. Solution: 14 Exercise: Calculate the greatest common factor of 11025 and 14994. Solution: 441 Exercise: Calculate the greatest common factor of 30 and 150442340. Solution: 10 Exercise: What is the greatest common divisor of 2031 and 1062213? Solution: 2031 Exercise: What is the greatest common factor of 43 and 746093? Solution: 43 Exercise: Calculate the greatest common divisor of 6515328 and 10152. Solution: 1128 Exercise: What is the greatest common factor of 216381648 and 24? Solution: 24 Exercise: Calculate the highest common factor of 18 and 2. Solution: 2 Exercise: What is the highest common factor of 1495 and 130? Solution: 65 Exercise: Calculate the highest common divisor of 15851896 and 60. Solution: 4 Exercise: Calculate the greatest common divisor of 11700 and 56340. Solution: 180 Exercise: What is the highest common factor of 3200 and 5800? Solution: 200 Exercise: Calculate the highest common divisor of 1225 and 658175. Solution: 175 Exercise: Calculate the highest common factor of 1942710 and 30030. Solution: 2310 Exercise: Calculate the greatest common factor of 31 and 651. Solution: 31 Exercise: What is the greatest common factor of 56 and 251299448? Solution: 8 Exercise: Calculate the greatest common divisor of 2273338 and 2. Solution: 2 Exercise: Calculate the highest common factor of 229518 and 50799. Solution: 123 Exercise: What is the greatest common factor of 1450 and 203? Solution: 29 Exercise: Calculate the highest common divisor of 25994 and 2939782. Solution: 82 Exercise: What is the highest common divisor of 3332791 and 7? Solution: 7 Exercise: What is the greatest common divisor of 130 and 19617910? Solution: 130 Exercise: What is the greatest common factor of 1285407 and 684? Solution: 171 Exercise
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probability: swr p level set ---------------------------- Item: Two letters picked without replacement from vwwvchhvvvvdivhdv. What is prob of picking 2 h? Ans: 3/136 Item: Three letters picked without replacement from {u: 7, y: 2, d: 4}. Give prob of picking 3 d. Ans: 2/143 Item: What is prob of picking 2 t, 1 x, and 1 z when four letters picked without replacement from xxxtlltztxss? Ans: 4/165 Item: Two letters picked without replacement from {l: 2, d: 4, i: 4}. Give prob of picking 2 d. Ans: 2/15 Item: What is prob of picking 2 p when two letters picked without replacement from {p: 4}? Ans: 1 Item: Four letters picked without replacement from wxxxz. Give prob of picking 2 x, 1 z, and 1 w. Ans: 3/5 Item: Three letters picked without replacement from hgoo. Give prob of picking 2 o and 1 h. Ans: 1/4 Item: What is prob of picking 3 t when three letters picked without replacement from {t: 9}? Ans: 1 Item: Calculate prob of picking 3 x and 1 w when four letters picked without replacement from mwxuwumxxx. Ans: 4/105 Item: What is prob of picking 2 g and 1 x when three letters picked without replacement from {j: 1, i: 3, u: 2, q: 2, g: 3, x: 3}? Ans: 9/364 Item: Calculate prob of picking 2 q and 1 w when three letters picked without replacement from qwqwwww. Ans: 1/7 Item: Calculate prob of picking 2 r, 1 m, and 1 v when four letters picked without replacement from zrrmgrmkkrvvrg. Ans: 40/1001 Item: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from iiigqqqicniqqii. Ans: 1/15 Item: Three letters picked without replacement from {z: 1, b: 1, c: 2, w: 2, i: 1}. Give prob of picking 2 c and 1 w. Ans: 2/35 Item: Calculate prob of picking 2 e when two letters picked without replacement from {t: 3, e: 3, i: 7, y: 6}. Ans: 1/57 Item: Three letters picked without replacement from lllillillil. What is prob of picking 2 i and 1 l? Ans: 8/55 Item: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {i: 1, b: 1, d
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probability: swr p sequence --------------------------- Q/A: Calculate prob of sequence od when two letters picked without replacement from ttoqootodttttoooto. A: 4/153 Q/A: Three letters picked without replacement from {b: 1, l: 4, k: 1, z: 9}. What is prob of sequence zkz? A: 12/455 Q/A: Three letters picked without replacement from oonronrkookym. Give prob of sequence orm. A: 5/858 Q/A: Four letters picked without replacement from qqxqqqqqxxq. What is prob of sequence qqqx? A: 7/55 Q/A: Four letters picked without replacement from mvvvmvvmmvvvmvvmvv. What is prob of sequence vvvm? A: 11/102 Q/A: Four letters picked without replacement from omboottmttotm. What is prob of sequence oooo? A: 1/715 Q/A: Four letters picked without replacement from {r: 6, y: 13}. What is prob of sequence yyyr? A: 143/1292 Q/A: Calculate prob of sequence ee when two letters picked without replacement from vveqvevevevevevvqqq. A: 5/57 Q/A: Calculate prob of sequence jlk when three letters picked without replacement from {l: 1, f: 2, m: 1, y: 4, k: 1, j: 3}. A: 1/440 Q/A: What is prob of sequence zv when two letters picked without replacement from qqfvvvwzqqwqp? A: 1/52 Q/A: Calculate prob of sequence sqqq when four letters picked without replacement from qqqqqssq. A: 1/7 Q/A: Four letters picked without replacement from {m: 2, y: 1, r: 1, h: 3, j: 3}. What is prob of sequence mjhy? A: 1/280 Q/A: What is prob of sequence flfl when four letters picked without replacement from {e: 9, f: 3, l: 7}? A: 7/2584 Q/A: Two letters picked without replacement from wwffwf. What is prob of sequence ff? A: 1/5 Q/A: Four letters picked without replacement from pniiwiywioiiiinpn. Give prob of sequence owwn. A: 1/9520 Q/A: What is prob of sequence af when two letters picked without replacement from aaffafaaaaa? A: 12/55 Q/A: Two letters picked without replacement from tmmge. What is prob of sequence gm? A: 1/10 Q/A: Four letters picked without replacement from ffgtgfttwnwtwtnwgn. What is prob of sequence t
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measurement: conversion ----------------------- Exercise: What is 82021.1l in millilitres? Fix: 82021100 Exercise: What is eleven eighths of a micrometer in nanometers? Fix: 1375 Exercise: How many millilitres are there in one fifth of a litre? Fix: 200 Exercise: Convert 5.073363 months to decades. Fix: 0.042278025 Exercise: What is twenty-seven halves of a microgram in nanograms? Fix: 13500 Exercise: How many days are there in 745.03134 minutes? Fix: 0.517382875 Exercise: What is one fifth of a microgram in nanograms? Fix: 200 Exercise: How many micrometers are there in seven quarters of a millimeter? Fix: 1750 Exercise: How many micrometers are there in 3/5 of a centimeter? Fix: 6000 Exercise: What is 1/20 of a decade in months? Fix: 6 Exercise: What is thirty-one fifths of a kilogram in grams? Fix: 6200 Exercise: Convert 438.1162l to millilitres. Fix: 438116.2 Exercise: How many seconds are there in one fifth of a minute? Fix: 12 Exercise: How many micrometers are there in nine tenths of a millimeter? Fix: 900 Exercise: How many millilitres are there in 7/2 of a litre? Fix: 3500 Exercise: How many nanometers are there in 1/20 of a millimeter? Fix: 50000 Exercise: What is 19.2921855 hours in weeks? Fix: 0.1148344375 Exercise: How many minutes are there in 2.8125372 milliseconds? Fix: 0.00004687562 Exercise: What is 8072.891 grams in kilograms? Fix: 8.072891 Exercise: What is 3.470541 millimeters in micrometers? Fix: 3470.541 Exercise: What is 1/10 of a second in milliseconds? Fix: 100 Exercise: Convert 23178441.6 microseconds to days. Fix: 0.000268269 Exercise: What is 4/15 of a minute in milliseconds? Fix: 16000 Exercise: How many milliseconds are there in 7/8 of a second? Fix: 875 Exercise: How many millilitres are there in 230.315 litres? Fix: 230315 Exercise: What is 650327.6 kilograms in tonnes? Fix: 650.3276 Exercise: How many nanoseconds are there in 1/20 of a microsecond? Fix: 50 Exercise: What is 746.7479 tonnes in micrograms? Fix: 746747900000000 Exercis
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numbers: place value -------------------- Math Q: What is the hundreds digit of 178? Sol: 1 Math Q: What is the ten thousands digit of 6213259? Sol: 1 Math Q: What is the hundred millions digit of 3291733780? Sol: 2 Math Q: What is the ten thousands digit of 557566? Sol: 5 Math Q: What is the tens digit of 160347? Sol: 4 Math Q: What is the units digit of 1143403653? Sol: 3 Math Q: What is the thousands digit of 113421038? Sol: 1 Math Q: What is the tens digit of 4030? Sol: 3 Math Q: What is the units digit of 4763675837? Sol: 7 Math Q: What is the units digit of 46504? Sol: 4 Math Q: What is the tens digit of 1373? Sol: 7 Math Q: What is the ten thousands digit of 6419075? Sol: 1 Math Q: What is the hundreds digit of 185008768? Sol: 7 Math Q: What is the hundred thousands digit of 578531843? Sol: 5 Math Q: What is the units digit of 505? Sol: 5 Math Q: What is the units digit of 11626? Sol: 6 Math Q: What is the hundreds digit of 258031? Sol: 0 Math Q: What is the hundred thousands digit of 704161? Sol: 7 Math Q: What is the thousands digit of 113956? Sol: 3 Math Q: What is the tens digit of 6921721? Sol: 2 Math Q: What is the hundreds digit of 227304? Sol: 3 Math Q: What is the ten millions digit of 23568317? Sol: 2 Math Q: What is the millions digit of 3857829? Sol: 3 Math Q: What is the hundred millions digit of 1177121848? Sol: 1 Math Q: What is the millions digit of 6260491? Sol: 6 Math Q: What is the tens digit of 26073959? Sol: 5 Math Q: What is the ten thousands digit of 28487? Sol: 2 Math Q: What is the hundreds digit of 28438? Sol: 4 Math Q: What is the tens digit of 3407989377? Sol: 7 Math Q: What is the units digit of 1768700? Sol: 0 Math Q: What is the units digit of 841? Sol: 1 Math Q: What is the ten thousands digit of 95564? Sol: 9 Math Q: What is the ten thousands digit of 829618945? Sol: 1 Math Q: What is the hundreds digit of 29539? Sol: 5 Math Q: What is the units digit of 97? Sol: 7 Math Q: What is the hundreds digit of 26838? Sol: 8 Math Q: Wh
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probability: swr p level set ---------------------------- Q): Two letters picked without replacement from {x: 2, s: 2, i: 1, v: 4, z: 1}. What is prob of picking 1 s and 1 v? Compute: 8/45 Q): Calculate prob of picking 2 o and 1 e when three letters picked without replacement from {o: 5, t: 4, e: 1, q: 4, y: 1}. Compute: 2/91 Q): Three letters picked without replacement from negehhhhhzhuhhh. What is prob of picking 2 h and 1 g? Compute: 36/455 Q): Three letters picked without replacement from qiqiqiiiii. Give prob of picking 3 q. Compute: 1/120 Q): What is prob of picking 1 n and 1 c when two letters picked without replacement from bsnnbsnlcsncsnncc? Compute: 3/17 Q): What is prob of picking 1 c and 1 l when two letters picked without replacement from {p: 3, j: 2, l: 5, c: 5}? Compute: 5/21 Q): Calculate prob of picking 3 f when three letters picked without replacement from fafaafaaaffafafafaff. Compute: 2/19 Q): What is prob of picking 2 v when two letters picked without replacement from {b: 2, y: 2, v: 2, h: 8}? Compute: 1/91 Q): Two letters picked without replacement from {i: 2, r: 1}. Give prob of picking 1 i and 1 r. Compute: 2/3 Q): What is prob of picking 1 e and 1 u when two letters picked without replacement from enceccecyyeyeu? Compute: 5/91 Q): Four letters picked without replacement from vbbzvvbmzbzvdb. What is prob of picking 1 z and 3 d? Compute: 0 Q): Four letters picked without replacement from {h: 7}. What is prob of picking 4 h? Compute: 1 Q): What is prob of picking 2 p and 2 k when four letters picked without replacement from ppkpkpppppkppkpppk? Compute: 13/51 Q): Two letters picked without replacement from ttsytszkszz. Give prob of picking 1 t and 1 y. Compute: 3/55 Q): Four letters picked without replacement from {k: 4, u: 14}. Give prob of picking 4 k. Compute: 1/3060 Q): Four letters picked without replacement from nnnnnnnnn. What is prob of picking 4 n? Compute: 1 Q): Calculate prob of picking 1 w, 2 x, and 1 q when four letters picked witho
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measurement: time ----------------- Part A: What is 355 minutes after 8:29 PM? Workthrough: 2:24 AM Part A: How many minutes are there between 8:42 AM and 3:13 PM? Workthrough: 391 Part A: What is 2 minutes before 11:29 PM? Workthrough: 11:27 PM Part A: What is 10 minutes after 3:38 PM? Workthrough: 3:48 PM Part A: What is 502 minutes before 8:52 AM? Workthrough: 12:30 AM Part A: How many minutes are there between 4:54 AM and 12:47 PM? Workthrough: 473 Part A: How many minutes are there between 11:32 PM and 11:04 AM? Workthrough: 692 Part A: How many minutes are there between 9:20 PM and 4:45 AM? Workthrough: 445 Part A: How many minutes are there between 2:14 PM and 3:04 PM? Workthrough: 50 Part A: How many minutes are there between 3:24 AM and 12:04 PM? Workthrough: 520 Part A: What is 185 minutes after 9:23 PM? Workthrough: 12:28 AM Part A: How many minutes are there between 8:09 AM and 10:47 AM? Workthrough: 158 Part A: What is 231 minutes after 2:37 AM? Workthrough: 6:28 AM Part A: What is 406 minutes after 6:29 AM? Workthrough: 1:15 PM Part A: How many minutes are there between 6:59 AM and 10:03 AM? Workthrough: 184 Part A: What is 525 minutes before 11:26 AM? Workthrough: 2:41 AM Part A: How many minutes are there between 8:03 AM and 2:17 PM? Workthrough: 374 Part A: How many minutes are there between 11:47 PM and 8:27 AM? Workthrough: 520 Part A: What is 679 minutes after 8:00 AM? Workthrough: 7:19 PM Part A: What is 110 minutes before 3:12 PM? Workthrough: 1:22 PM Part A: What is 310 minutes after 6:37 AM? Workthrough: 11:47 AM Part A: How many minutes are there between 1:15 AM and 1:24 AM? Workthrough: 9 Part A: How many minutes are there between 4:52 PM and 2:37 AM? Workthrough: 585 Part A: How many minutes are there between 10:20 AM and 6:54 PM? Workthrough: 514 Part A: What is 6 minutes after 2:23 AM? Workthrough: 2:29 AM Part A: What is 661 minutes after 3:19 AM? Workthrough: 2:20 PM Part A: How many minutes are there between 9:12 AM and 11:45 AM? Work
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numbers: is prime ----------------- Math Q: Is 115901 composite? Explanation: False Math Q: Is 45182393 a composite number? Explanation: True Math Q: Is 13894927 prime? Explanation: True Math Q: Is 776805727 a composite number? Explanation: False Math Q: Is 13363321679 composite? Explanation: False Math Q: Is 219281 a composite number? Explanation: False Math Q: Is 824293313 a composite number? Explanation: False Math Q: Is 1075980047 prime? Explanation: False Math Q: Is 11213 a prime number? Explanation: True Math Q: Is 103799932591 composite? Explanation: True Math Q: Is 51926951 composite? Explanation: True Math Q: Is 4778843 prime? Explanation: True Math Q: Is 16422191077 a composite number? Explanation: False Math Q: Is 66779 prime? Explanation: False Math Q: Is 8891123 composite? Explanation: True Math Q: Is 11903 prime? Explanation: True Math Q: Is 1046522 a prime number? Explanation: False Math Q: Is 59953 prime? Explanation: False Math Q: Is 4262233061 prime? Explanation: True Math Q: Is 2333 composite? Explanation: False Math Q: Is 7743954637 composite? Explanation: True Math Q: Is 34645771 a prime number? Explanation: True Math Q: Is 12536591 composite? Explanation: True Math Q: Is 122269783 a composite number? Explanation: True Math Q: Is 117522463 composite? Explanation: False Math Q: Is 4581834197 a prime number? Explanation: False Math Q: Is 13958209 prime? Explanation: True Math Q: Is 1886225149 a composite number? Explanation: True Math Q: Is 55849 prime? Explanation: True Math Q: Is 19383609607 a composite number? Explanation: False Math Q: Is 23149234023 a prime number? Explanation: False Math Q: Is 18203 a composite number? Explanation: True Math Q: Is 6503181521 prime? Explanation: True Math Q: Is 167073 a prime number? Explanation: False Math Q: Is 89695 a composite number? Explanation: True Math Q: Is 65869751161 a composite number? Explanation: True Math Q: Is 30295847597 composite? Explanation: False Math Q: Is 215011 prime? Explanation: Fal
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probability: swr p level set ---------------------------- Problem: What is prob of picking 3 f and 1 l when four letters picked without replacement from {l: 9, f: 7}? = : 9/52 Problem: Three letters picked without replacement from {c: 4, a: 2}. What is prob of picking 2 c and 1 a? = : 3/5 Problem: What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 5, y: 3, z: 1, a: 1, u: 1, t: 1}? = : 5/66 Problem: Four letters picked without replacement from {x: 5}. What is prob of picking 4 x? = : 1 Problem: Three letters picked without replacement from {b: 10}. What is prob of picking 3 b? = : 1 Problem: Two letters picked without replacement from turxurxttttuxtr. What is prob of picking 1 x and 1 r? = : 3/35 Problem: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from akfdq. = : 1/10 Problem: Calculate prob of picking 1 s and 3 u when four letters picked without replacement from {g: 6, q: 4, u: 1, s: 6}. = : 0 Problem: Three letters picked without replacement from {l: 5, c: 9}. What is prob of picking 1 l and 2 c? = : 45/91 Problem: What is prob of picking 3 r when three letters picked without replacement from {l: 7, r: 3}? = : 1/120 Problem: Four letters picked without replacement from {l: 1, z: 5, d: 9, e: 1, g: 2}. What is prob of picking 1 l and 3 d? = : 7/255 Problem: Four letters picked without replacement from fuuawwwwfwfwawwu. Give prob of picking 1 a and 3 w. = : 4/65 Problem: What is prob of picking 1 f and 1 p when two letters picked without replacement from {u: 2, w: 4, q: 1, f: 2, p: 3}? = : 1/11 Problem: What is prob of picking 2 f and 2 m when four letters picked without replacement from {t: 1, f: 2, m: 4}? = : 6/35 Problem: Calculate prob of picking 2 d and 1 b when three letters picked without replacement from xdndbnii. = : 1/56 Problem: Three letters picked without replacement from jzqqezzqqeqee. What is prob of picking 1 e and 2 q? = : 20/143 Problem: Four letters picked without replaceme
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measurement: conversion ----------------------- Math Problem: What is eleven quarters of a millisecond in microseconds? Hence: 2750 Math Problem: How many weeks are there in 154311.234 hours? Hence: 918.51925 Math Problem: What is 49/5 of a meter in millimeters? Hence: 9800 Math Problem: What is 53/4 of a meter in millimeters? Hence: 13250 Math Problem: Convert 0.6443094ng to micrograms. Hence: 0.0006443094 Math Problem: How many micrometers are there in 5/8 of a centimeter? Hence: 6250 Math Problem: How many decades are there in 42/5 of a millennium? Hence: 840 Math Problem: What is one quarter of a gram in milligrams? Hence: 250 Math Problem: What is thirteen fifths of a millennium in decades? Hence: 260 Math Problem: Convert 0.9510345l to millilitres. Hence: 951.0345 Math Problem: Convert 81.508032 milliseconds to days. Hence: 0.00000094338 Math Problem: What is one tenth of a litre in millilitres? Hence: 100 Math Problem: How many months are there in four thirds of a year? Hence: 16 Math Problem: How many kilograms are there in 214.2268 grams? Hence: 0.2142268 Math Problem: How many hours are there in 2180628.9 microseconds? Hence: 0.00060573025 Math Problem: Convert 0.9246246mm to meters. Hence: 0.0009246246 Math Problem: What is 59/5 of a microgram in nanograms? Hence: 11800 Math Problem: How many minutes are there in twenty-two ninths of a week? Hence: 24640 Math Problem: How many litres are there in 37.24155 millilitres? Hence: 0.03724155 Math Problem: How many years are there in 1/5 of a century? Hence: 20 Math Problem: How many hours are there in 3884.279 weeks? Hence: 652558.872 Math Problem: What is fourty-seven quarters of a millisecond in microseconds? Hence: 11750 Math Problem: How many hours are there in 45/8 of a day? Hence: 135 Math Problem: How many hours are there in 30.95004 weeks? Hence: 5199.60672 Math Problem: What is three eighths of a century in months? Hence: 450 Math Problem: How many decades are there in thirty-four fifths of a millenniu
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numbers: div remainder ---------------------- Problem: Calculate the remainder when 319648 is divided by 319548. Soln: 100 Problem: What is the remainder when 2534 is divided by 39? Soln: 38 Problem: Calculate the remainder when 153140 is divided by 339. Soln: 251 Problem: Calculate the remainder when 277 is divided by 49. Soln: 32 Problem: What is the remainder when 379 is divided by 109? Soln: 52 Problem: What is the remainder when 1524 is divided by 83? Soln: 30 Problem: What is the remainder when 420757 is divided by 550? Soln: 7 Problem: Calculate the remainder when 5944406 is divided by 338. Soln: 0 Problem: What is the remainder when 862285 is divided by 4355? Soln: 4350 Problem: Calculate the remainder when 67372 is divided by 16012. Soln: 3324 Problem: What is the remainder when 2079 is divided by 30? Soln: 9 Problem: Calculate the remainder when 1253 is divided by 22. Soln: 21 Problem: Calculate the remainder when 222987 is divided by 381. Soln: 102 Problem: Calculate the remainder when 35565912 is divided by 231. Soln: 228 Problem: What is the remainder when 23625 is divided by 99? Soln: 63 Problem: What is the remainder when 7411 is divided by 18? Soln: 13 Problem: Calculate the remainder when 187 is divided by 15. Soln: 7 Problem: Calculate the remainder when 169 is divided by 35. Soln: 29 Problem: What is the remainder when 262 is divided by 24? Soln: 22 Problem: What is the remainder when 142 is divided by 11? Soln: 10 Problem: Calculate the remainder when 6454078 is divided by 1266. Soln: 10 Problem: Calculate the remainder when 773 is divided by 386. Soln: 1 Problem: Calculate the remainder when 111 is divided by 51. Soln: 9 Problem: Calculate the remainder when 745 is divided by 22. Soln: 19 Problem: What is the remainder when 1527792 is divided by 18? Soln: 6 Problem: What is the remainder when 16616 is divided by 8279? Soln: 58 Problem: Calculate the remainder when 4209 is divided by 873. Soln: 717 Problem: What is the remainder when 4609 is divi
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measurement: time ----------------- Question: How many minutes are there between 3:17 PM and 5:14 PM? Eval: 117 Question: What is 423 minutes before 11:19 PM? Eval: 4:16 PM Question: How many minutes are there between 1:25 AM and 12:12 PM? Eval: 647 Question: What is 398 minutes after 4:25 PM? Eval: 11:03 PM Question: How many minutes are there between 5:36 PM and 2:55 AM? Eval: 559 Question: What is 142 minutes after 12:32 AM? Eval: 2:54 AM Question: How many minutes are there between 12:10 PM and 9:05 PM? Eval: 535 Question: How many minutes are there between 1:34 PM and 3:29 PM? Eval: 115 Question: What is 44 minutes before 5:08 AM? Eval: 4:24 AM Question: How many minutes are there between 12:56 AM and 6:05 AM? Eval: 309 Question: What is 559 minutes after 6:23 AM? Eval: 3:42 PM Question: What is 59 minutes after 3:40 PM? Eval: 4:39 PM Question: How many minutes are there between 1:26 PM and 1:10 AM? Eval: 704 Question: How many minutes are there between 7:08 PM and 1:42 AM? Eval: 394 Question: How many minutes are there between 6:00 AM and 7:50 AM? Eval: 110 Question: How many minutes are there between 11:04 AM and 11:10 AM? Eval: 6 Question: What is 167 minutes after 1:24 PM? Eval: 4:11 PM Question: What is 538 minutes after 8:47 AM? Eval: 5:45 PM Question: How many minutes are there between 6:46 AM and 10:01 AM? Eval: 195 Question: What is 120 minutes before 3:43 AM? Eval: 1:43 AM Question: What is 644 minutes after 12:52 AM? Eval: 11:36 AM Question: What is 543 minutes after 8:32 PM? Eval: 5:35 AM Question: How many minutes are there between 4:10 AM and 1:38 PM? Eval: 568 Question: What is 300 minutes after 11:01 PM? Eval: 4:01 AM Question: How many minutes are there between 11:28 AM and 10:48 PM? Eval: 680 Question: How many minutes are there between 12:25 AM and 6:06 AM? Eval: 341 Question: How many minutes are there between 6:24 AM and 5:55 PM? Eval: 691 Question: How many minutes are there between 3:38 PM and 1:27 AM? Eval: 589 Question: How many minutes
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numbers: place value -------------------- What if: What is the thousands digit of 129831? β†’: 9 What if: What is the millions digit of 46813267? β†’: 6 What if: What is the millions digit of 11355896? β†’: 1 What if: What is the tens digit of 692? β†’: 9 What if: What is the millions digit of 35707312? β†’: 5 What if: What is the ten thousands digit of 72274? β†’: 7 What if: What is the ten millions digit of 127832332? β†’: 2 What if: What is the thousands digit of 970712285? β†’: 2 What if: What is the ten thousands digit of 39586? β†’: 3 What if: What is the ten thousands digit of 33777? β†’: 3 What if: What is the ten thousands digit of 6204230? β†’: 0 What if: What is the tens digit of 9192185? β†’: 8 What if: What is the tens digit of 77? β†’: 7 What if: What is the tens digit of 486523345? β†’: 4 What if: What is the tens digit of 2934? β†’: 3 What if: What is the millions digit of 39062770? β†’: 9 What if: What is the tens digit of 580766? β†’: 6 What if: What is the ten thousands digit of 19651? β†’: 1 What if: What is the tens digit of 3365108562? β†’: 6 What if: What is the thousands digit of 1437? β†’: 1 What if: What is the hundred thousands digit of 114134144? β†’: 1 What if: What is the ten thousands digit of 46194709? β†’: 9 What if: What is the units digit of 60640700? β†’: 0 What if: What is the units digit of 32653342? β†’: 2 What if: What is the ten thousands digit of 23200? β†’: 2 What if: What is the millions digit of 391245428? β†’: 1 What if: What is the units digit of 417? β†’: 7 What if: What is the tens digit of 434? β†’: 3 What if: What is the ten thousands digit of 5398447? β†’: 9 What if: What is the thousands digit of 2848601? β†’: 8 What if: What is the ten thousands digit of 189111428? β†’: 1 What if: What is the hundreds digit of 1099343? β†’: 3 What if: What is the thousands digit of 3083764653? β†’: 4 What if: What is the hundreds digit of 2851179? β†’: 1 What if: What is the hundreds digit of 139835? β†’: 8 What if: What is the tens digit of 1750158472? β†’: 7 What if: What is the thousands digit of
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numbers: div remainder ---------------------- Q.: What is the remainder when 42578 is divided by 1151? Eval: 1142 Q.: What is the remainder when 4550 is divided by 3? Eval: 2 Q.: Calculate the remainder when 725 is divided by 121. Eval: 120 Q.: Calculate the remainder when 262092 is divided by 131035. Eval: 22 Q.: What is the remainder when 45540 is divided by 256? Eval: 228 Q.: Calculate the remainder when 43859 is divided by 20. Eval: 19 Q.: What is the remainder when 172287 is divided by 34456? Eval: 7 Q.: Calculate the remainder when 110519 is divided by 831. Eval: 827 Q.: Calculate the remainder when 4680 is divided by 2052. Eval: 576 Q.: What is the remainder when 3297 is divided by 26? Eval: 21 Q.: What is the remainder when 637822 is divided by 906? Eval: 904 Q.: What is the remainder when 2914 is divided by 54? Eval: 52 Q.: Calculate the remainder when 166096 is divided by 886. Eval: 414 Q.: What is the remainder when 5114 is divided by 31? Eval: 30 Q.: Calculate the remainder when 289 is divided by 145. Eval: 144 Q.: What is the remainder when 28 is divided by 8? Eval: 4 Q.: What is the remainder when 9706 is divided by 528? Eval: 202 Q.: Calculate the remainder when 155812 is divided by 31162. Eval: 2 Q.: Calculate the remainder when 9864974 is divided by 59. Eval: 56 Q.: Calculate the remainder when 125012345 is divided by 92. Eval: 77 Q.: Calculate the remainder when 422 is divided by 29. Eval: 16 Q.: What is the remainder when 316 is divided by 164? Eval: 152 Q.: Calculate the remainder when 285 is divided by 149. Eval: 136 Q.: What is the remainder when 966809 is divided by 418? Eval: 393 Q.: Calculate the remainder when 3245 is divided by 171. Eval: 167 Q.: Calculate the remainder when 97210425 is divided by 98. Eval: 11 Q.: What is the remainder when 127563523 is divided by 4809? Eval: 4798 Q.: Calculate the remainder when 7820 is divided by 3908. Eval: 4 Q.: What is the remainder when 115 is divided by 72? Eval: 43 Q.: What is the remainder when 26
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measurement: conversion ----------------------- Given: How many kilograms are there in 18/5 of a tonne? Fix: 3600 Given: Convert 9219.497 decades to years. Fix: 92194.97 Given: How many decades are there in 0.3187618 centuries? Fix: 3.187618 Given: Convert 5.285222 years to decades. Fix: 0.5285222 Given: How many micrometers are there in six fifths of a millimeter? Fix: 1200 Given: Convert 0.8191439 micrograms to grams. Fix: 0.0000008191439 Given: How many microseconds are there in thirty-one fifths of a millisecond? Fix: 6200 Given: What is 3/10 of a kilometer in centimeters? Fix: 30000 Given: How many milligrams are there in 98.90494 grams? Fix: 98904.94 Given: How many millimeters are there in 3/5 of a centimeter? Fix: 6 Given: How many milligrams are there in thirteen fifths of a gram? Fix: 2600 Given: What is 1/4 of a micrometer in nanometers? Fix: 250 Given: What is 0.0158259 years in months? Fix: 0.1899108 Given: What is 25/4 of a micrometer in nanometers? Fix: 6250 Given: Convert 54.6227m to centimeters. Fix: 5462.27 Given: What is 27/2 of a litre in millilitres? Fix: 13500 Given: How many kilograms are there in six fifths of a tonne? Fix: 1200 Given: How many micrograms are there in 1/4 of a milligram? Fix: 250 Given: What is 17/4 of a millennium in months? Fix: 51000 Given: How many minutes are there in 1/15 of a week? Fix: 672 Given: What is seven halves of a gram in milligrams? Fix: 3500 Given: Convert 489.4981ml to litres. Fix: 0.4894981 Given: How many decades are there in 304.8 centuries? Fix: 3048 Given: What is 1745454.27 hours in weeks? Fix: 10389.60875 Given: How many nanoseconds are there in 516.2081 minutes? Fix: 30972486000000 Given: What is 76273.77 decades in centuries? Fix: 7627.377 Given: Convert 622051.2 micrometers to kilometers. Fix: 0.0006220512 Given: How many months are there in fourty-six fifths of a decade? Fix: 1104 Given: How many millilitres are there in thirty-three tenths of a litre? Fix: 3300 Given: How many seconds are there
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numbers: div remainder ---------------------- Task: What is the remainder when 24165757 is divided by 6049? Workthrough: 2 Task: What is the remainder when 238 is divided by 16? Workthrough: 14 Task: What is the remainder when 208 is divided by 45? Workthrough: 28 Task: Calculate the remainder when 230 is divided by 29. Workthrough: 27 Task: What is the remainder when 4688 is divided by 9? Workthrough: 8 Task: What is the remainder when 849 is divided by 415? Workthrough: 19 Task: What is the remainder when 7069 is divided by 424? Workthrough: 285 Task: Calculate the remainder when 10969 is divided by 2738. Workthrough: 17 Task: Calculate the remainder when 101 is divided by 6. Workthrough: 5 Task: Calculate the remainder when 145 is divided by 31. Workthrough: 21 Task: Calculate the remainder when 338322 is divided by 988. Workthrough: 426 Task: What is the remainder when 488 is divided by 195? Workthrough: 98 Task: Calculate the remainder when 829 is divided by 63. Workthrough: 10 Task: Calculate the remainder when 5099946 is divided by 169995. Workthrough: 96 Task: What is the remainder when 14799 is divided by 102? Workthrough: 9 Task: What is the remainder when 66508570 is divided by 259? Workthrough: 219 Task: What is the remainder when 3212 is divided by 63? Workthrough: 62 Task: What is the remainder when 610487 is divided by 19076? Workthrough: 55 Task: Calculate the remainder when 12597 is divided by 70. Workthrough: 67 Task: Calculate the remainder when 904190 is divided by 113023. Workthrough: 6 Task: Calculate the remainder when 16807 is divided by 4199. Workthrough: 11 Task: What is the remainder when 37967065 is divided by 49891? Workthrough: 14 Task: Calculate the remainder when 221 is divided by 41. Workthrough: 16 Task: What is the remainder when 994 is divided by 167? Workthrough: 159 Task: Calculate the remainder when 656018 is divided by 16818. Workthrough: 116 Task: What is the remainder when 1106 is divided by 452? Workthrough: 202 Task: What
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probability: swr p sequence --------------------------- Input: Three letters picked without replacement from mmmmmm. What is prob of sequence mmm? Conclusion: 1 Input: What is prob of sequence ts when two letters picked without replacement from {s: 4, t: 3, q: 13}? Conclusion: 3/95 Input: Calculate prob of sequence ragg when four letters picked without replacement from rragggrrrarigrgggrrg. Conclusion: 14/1615 Input: Three letters picked without replacement from lllllvllrv. Give prob of sequence vvv. Conclusion: 0 Input: What is prob of sequence ui when two letters picked without replacement from {f: 2, u: 5, p: 3, i: 7}? Conclusion: 35/272 Input: Three letters picked without replacement from klnkkkbznkbznfknnlkb. What is prob of sequence fnk? Conclusion: 7/1368 Input: What is prob of sequence tk when two letters picked without replacement from {t: 6, c: 1, k: 7, w: 5}? Conclusion: 7/57 Input: Two letters picked without replacement from {r: 3, f: 1, g: 9, m: 6}. Give prob of sequence fg. Conclusion: 1/38 Input: What is prob of sequence nj when two letters picked without replacement from rcnnnrycucjy? Conclusion: 1/44 Input: Calculate prob of sequence pni when three letters picked without replacement from inp. Conclusion: 1/6 Input: Three letters picked without replacement from {j: 11, t: 1}. Give prob of sequence jtj. Conclusion: 1/12 Input: Two letters picked without replacement from esexx. Give prob of sequence ex. Conclusion: 1/5 Input: Calculate prob of sequence jxf when three letters picked without replacement from {x: 7, j: 1, f: 1, b: 4}. Conclusion: 7/1716 Input: What is prob of sequence ytt when three letters picked without replacement from {y: 2, t: 2}? Conclusion: 1/6 Input: What is prob of sequence hi when two letters picked without replacement from {f: 2, h: 10, i: 3}? Conclusion: 1/7 Input: Calculate prob of sequence xx when two letters picked without replacement from {x: 15, z: 2, y: 3}. Conclusion: 21/38 Input: Calculate prob of sequence eide when fo
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numbers: place value -------------------- Prompt: What is the units digit of 478543? Answer: 3 Prompt: What is the thousands digit of 2021640? Answer: 1 Prompt: What is the tens digit of 512349939? Answer: 3 Prompt: What is the ten millions digit of 1203734863? Answer: 0 Prompt: What is the hundred millions digit of 128951878? Answer: 1 Prompt: What is the hundred thousands digit of 282692877? Answer: 6 Prompt: What is the thousands digit of 11351777? Answer: 1 Prompt: What is the hundreds digit of 365003? Answer: 0 Prompt: What is the tens digit of 161342084? Answer: 8 Prompt: What is the tens digit of 965239916? Answer: 1 Prompt: What is the tens digit of 25563? Answer: 6 Prompt: What is the millions digit of 7740154991? Answer: 0 Prompt: What is the units digit of 173? Answer: 3 Prompt: What is the hundreds digit of 6441211? Answer: 2 Prompt: What is the thousands digit of 2868? Answer: 2 Prompt: What is the millions digit of 2592611? Answer: 2 Prompt: What is the units digit of 22614? Answer: 4 Prompt: What is the thousands digit of 80594740? Answer: 4 Prompt: What is the tens digit of 11703? Answer: 0 Prompt: What is the ten thousands digit of 274053? Answer: 7 Prompt: What is the hundreds digit of 11363? Answer: 3 Prompt: What is the hundred thousands digit of 992414? Answer: 9 Prompt: What is the thousands digit of 8736290? Answer: 6 Prompt: What is the units digit of 122965062? Answer: 2 Prompt: What is the hundred thousands digit of 761356815? Answer: 3 Prompt: What is the hundred thousands digit of 1119314? Answer: 1 Prompt: What is the thousands digit of 245933? Answer: 5 Prompt: What is the hundred thousands digit of 8629608? Answer: 6 Prompt: What is the ten thousands digit of 76344? Answer: 7 Prompt: What is the thousands digit of 1061490635? Answer: 0 Prompt: What is the hundreds digit of 2383041301? Answer: 3 Prompt: What is the tens digit of 1077? Answer: 7 Prompt: What is the hundred millions digit of 2120388384? Answer: 1 Prompt: What is the units
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numbers: is prime ----------------- Math Q: Is 1002959 prime? Soln: False Math Q: Is 19015955927 composite? Soln: False Math Q: Is 20639 a composite number? Soln: False Math Q: Is 2693847649 prime? Soln: True Math Q: Is 30161231 prime? Soln: True Math Q: Is 99329 a composite number? Soln: True Math Q: Is 3039139 a prime number? Soln: True Math Q: Is 42853 composite? Soln: False Math Q: Is 239663 composite? Soln: True Math Q: Is 3883 a prime number? Soln: False Math Q: Is 1174751003 prime? Soln: True Math Q: Is 1374398899 composite? Soln: True Math Q: Is 24719 a prime number? Soln: False Math Q: Is 46994 a prime number? Soln: False Math Q: Is 5418836986 composite? Soln: True Math Q: Is 3527 composite? Soln: False Math Q: Is 8506153 prime? Soln: True Math Q: Is 15113473 composite? Soln: True Math Q: Is 2355267961 composite? Soln: True Math Q: Is 3950425079 a prime number? Soln: True Math Q: Is 7081 a composite number? Soln: True Math Q: Is 4723699 a prime number? Soln: True Math Q: Is 236201243 a composite number? Soln: False Math Q: Is 602677 composite? Soln: False Math Q: Is 14524099 prime? Soln: False Math Q: Is 15944378 a composite number? Soln: True Math Q: Is 11621 a composite number? Soln: False Math Q: Is 340741 a composite number? Soln: True Math Q: Is 592294607 prime? Soln: True Math Q: Is 149323127 a composite number? Soln: False Math Q: Is 1782858899 a composite number? Soln: False Math Q: Is 410151971 prime? Soln: True Math Q: Is 2445461209 prime? Soln: True Math Q: Is 4143267773 a composite number? Soln: False Math Q: Is 12449 a composite number? Soln: True Math Q: Is 15876865 a prime number? Soln: False Math Q: Is 17935279 a composite number? Soln: True Math Q: Is 4841573081 prime? Soln: True Math Q: Is 3803277473 a prime number? Soln: True Math Q: Is 5876797 composite? Soln: False Math Q: Is 3680639 composite? Soln: False Math Q: Is 25746766391 a prime number? Soln: False Math Q: Is 90926699 prime? Soln: True Math Q: Is 47609 a prime number? Soln: True
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probability: swr p level set ---------------------------- Q/A: Four letters picked without replacement from {d: 2, z: 1, k: 4, g: 1, b: 3}. What is prob of picking 2 b, 1 g, and 1 d? Key: 1/55 Q/A: Two letters picked without replacement from {p: 3, w: 3}. What is prob of picking 2 w? Key: 1/5 Q/A: Two letters picked without replacement from {h: 1, y: 2, a: 1, u: 1}. What is prob of picking 1 u and 1 h? Key: 1/10 Q/A: Calculate prob of picking 2 a when two letters picked without replacement from ahhaahhhhh. Key: 1/15 Q/A: What is prob of picking 1 u, 1 e, and 1 i when three letters picked without replacement from {k: 6, e: 2, z: 2, u: 1, i: 6}? Key: 3/170 Q/A: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from ibbzswwzlibiizbzbsb. Key: 8/57 Q/A: What is prob of picking 1 m and 3 u when four letters picked without replacement from ovvuumumuvoomud? Key: 2/91 Q/A: Four letters picked without replacement from {g: 3, q: 9, x: 4}. Give prob of picking 1 x, 1 q, and 2 g. Key: 27/455 Q/A: Four letters picked without replacement from oeeweewwwww. Give prob of picking 4 e. Key: 1/330 Q/A: Three letters picked without replacement from dtteggedggtegtttett. What is prob of picking 1 t, 1 e, and 1 g? Key: 160/969 Q/A: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from euduedudefddededud. Key: 8/153 Q/A: What is prob of picking 3 q when three letters picked without replacement from qqqqeeeqeqeqeeeeqqq? Key: 40/323 Q/A: Two letters picked without replacement from {f: 9, y: 3, x: 2, v: 2, t: 1}. Give prob of picking 1 t and 1 f. Key: 9/136 Q/A: Two letters picked without replacement from {u: 5}. Give prob of picking 2 u. Key: 1 Q/A: Calculate prob of picking 1 z, 1 w, and 2 n when four letters picked without replacement from wnzwwddnnv. Key: 3/70 Q/A: Four letters picked without replacement from {e: 4, p: 5, f: 1, l: 3}. What is prob of picking 2 l and 2 p? Key: 6/143 Q/A: Four letters picked without replacement
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numbers: div remainder ---------------------- Step: Calculate the remainder when 327864 is divided by 18196. A: 336 Step: What is the remainder when 891332 is divided by 101? A: 7 Step: What is the remainder when 51 is divided by 11? A: 7 Step: What is the remainder when 760546 is divided by 287? A: 283 Step: Calculate the remainder when 650 is divided by 208. A: 26 Step: Calculate the remainder when 2021 is divided by 670. A: 11 Step: What is the remainder when 4133577 is divided by 165? A: 162 Step: Calculate the remainder when 143624 is divided by 10256. A: 40 Step: Calculate the remainder when 2921 is divided by 20. A: 1 Step: Calculate the remainder when 599 is divided by 20. A: 19 Step: Calculate the remainder when 790142 is divided by 787. A: 781 Step: Calculate the remainder when 2068 is divided by 204. A: 28 Step: Calculate the remainder when 264329 is divided by 1413. A: 98 Step: Calculate the remainder when 12289346 is divided by 27. A: 26 Step: Calculate the remainder when 333 is divided by 67. A: 65 Step: Calculate the remainder when 852782 is divided by 43. A: 6 Step: Calculate the remainder when 1084510 is divided by 500. A: 10 Step: Calculate the remainder when 2845047 is divided by 390. A: 387 Step: Calculate the remainder when 7887 is divided by 1956. A: 63 Step: Calculate the remainder when 258 is divided by 87. A: 84 Step: What is the remainder when 400139 is divided by 60? A: 59 Step: What is the remainder when 307 is divided by 215? A: 92 Step: What is the remainder when 127826 is divided by 230? A: 176 Step: Calculate the remainder when 3146 is divided by 272. A: 154 Step: Calculate the remainder when 859 is divided by 270. A: 49 Step: Calculate the remainder when 162973596 is divided by 80. A: 76 Step: Calculate the remainder when 2215251 is divided by 124. A: 115 Step: Calculate the remainder when 190189 is divided by 3301. A: 2032 Step: What is the remainder when 1211324 is divided by 1211264? A: 60 Step: Calculate the remainder when 232 is
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measurement: conversion ----------------------- Q): What is 389.4292 litres in millilitres? Therefore: 389429.2 Q): Convert 1307.004 millennia to decades. Therefore: 130700.4 Q): What is 8042.406um in nanometers? Therefore: 8042406 Q): How many months are there in 3/40 of a decade? Therefore: 9 Q): How many milligrams are there in five quarters of a gram? Therefore: 1250 Q): How many millilitres are there in three tenths of a litre? Therefore: 300 Q): What is 58544.76 kilometers in millimeters? Therefore: 58544760000 Q): What is one fifth of a kilometer in centimeters? Therefore: 20000 Q): How many millilitres are there in thirteen fifths of a litre? Therefore: 2600 Q): How many milligrams are there in 6/5 of a gram? Therefore: 1200 Q): What is 8.332395 nanograms in grams? Therefore: 0.000000008332395 Q): What is 563.1323 nanograms in tonnes? Therefore: 0.0000000000005631323 Q): How many centuries are there in 6.408918 months? Therefore: 0.005340765 Q): How many minutes are there in five eighths of a day? Therefore: 900 Q): What is 4/15 of a minute in seconds? Therefore: 16 Q): How many micrograms are there in one sixteenth of a gram? Therefore: 62500 Q): What is 5/4 of a meter in millimeters? Therefore: 1250 Q): How many nanoseconds are there in thirteen quarters of a microsecond? Therefore: 3250 Q): How many months are there in 7/3 of a decade? Therefore: 280 Q): Convert 9135.677l to millilitres. Therefore: 9135677 Q): How many minutes are there in 18.725457 microseconds? Therefore: 0.00000031209095 Q): What is 57177.94 nanometers in kilometers? Therefore: 0.00000005717794 Q): How many minutes are there in 2507.2365 nanoseconds? Therefore: 0.000000041787275 Q): What is 10169.04s in milliseconds? Therefore: 10169040 Q): What is three tenths of a hour in seconds? Therefore: 1080 Q): What is 6/25 of a litre in millilitres? Therefore: 240 Q): How many millilitres are there in three fifths of a litre? Therefore: 600 Q): What is 179.0940186 microseconds in weeks? Theref
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numbers: div remainder ---------------------- Input: What is the remainder when 101337926 is divided by 120? Clarification: 86 Input: What is the remainder when 424313 is divided by 188? Clarification: 185 Input: Calculate the remainder when 27400552 is divided by 970. Clarification: 962 Input: What is the remainder when 1344586 is divided by 10? Clarification: 6 Input: What is the remainder when 389 is divided by 22? Clarification: 15 Input: What is the remainder when 66 is divided by 6? Clarification: 0 Input: What is the remainder when 472 is divided by 34? Clarification: 30 Input: Calculate the remainder when 9390592 is divided by 163. Clarification: 162 Input: What is the remainder when 3162 is divided by 244? Clarification: 234 Input: What is the remainder when 158 is divided by 41? Clarification: 35 Input: Calculate the remainder when 91852 is divided by 8333. Clarification: 189 Input: Calculate the remainder when 14110613 is divided by 703. Clarification: 700 Input: Calculate the remainder when 63616 is divided by 8999. Clarification: 623 Input: What is the remainder when 231485 is divided by 17804? Clarification: 33 Input: Calculate the remainder when 25282827 is divided by 481. Clarification: 24 Input: What is the remainder when 16855 is divided by 348? Clarification: 151 Input: Calculate the remainder when 482 is divided by 44. Clarification: 42 Input: Calculate the remainder when 256839 is divided by 16029. Clarification: 375 Input: What is the remainder when 268 is divided by 92? Clarification: 84 Input: What is the remainder when 1212 is divided by 42? Clarification: 36 Input: Calculate the remainder when 459030 is divided by 301. Clarification: 5 Input: What is the remainder when 889622 is divided by 81? Clarification: 80 Input: What is the remainder when 91380 is divided by 7009? Clarification: 263 Input: Calculate the remainder when 198 is divided by 32. Clarification: 6 Input: What is the remainder when 14317 is divided by 31? Clarification: 26 Inp
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numbers: place value -------------------- Situation: What is the units digit of 8821? Result: 1 Situation: What is the hundred millions digit of 8485011929? Result: 4 Situation: What is the hundred thousands digit of 14317694? Result: 3 Situation: What is the thousands digit of 22363? Result: 2 Situation: What is the units digit of 1279061167? Result: 7 Situation: What is the hundreds digit of 2140729? Result: 7 Situation: What is the thousands digit of 10699? Result: 0 Situation: What is the billions digit of 3775665462? Result: 3 Situation: What is the units digit of 6806216? Result: 6 Situation: What is the units digit of 21510? Result: 0 Situation: What is the units digit of 1594? Result: 4 Situation: What is the hundreds digit of 1752? Result: 7 Situation: What is the ten millions digit of 2406760148? Result: 0 Situation: What is the tens digit of 1459? Result: 5 Situation: What is the hundreds digit of 6523? Result: 5 Situation: What is the thousands digit of 52998? Result: 2 Situation: What is the thousands digit of 52895? Result: 2 Situation: What is the units digit of 1249820? Result: 0 Situation: What is the units digit of 46985? Result: 5 Situation: What is the thousands digit of 13205? Result: 3 Situation: What is the ten thousands digit of 79154441? Result: 5 Situation: What is the hundreds digit of 1301511? Result: 5 Situation: What is the units digit of 207695410? Result: 0 Situation: What is the hundred thousands digit of 18492864? Result: 4 Situation: What is the tens digit of 76051514? Result: 1 Situation: What is the hundreds digit of 153420076? Result: 0 Situation: What is the hundreds digit of 4082233614? Result: 6 Situation: What is the tens digit of 19716? Result: 1 Situation: What is the hundreds digit of 12731? Result: 7 Situation: What is the units digit of 246487? Result: 7 Situation: What is the thousands digit of 40707423? Result: 7 Situation: What is the ten thousands digit of 160146825? Result: 4 Situation: What is the millions digit o
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numbers: is prime ----------------- Ask: Is 54695124857 prime? Output: False Ask: Is 21703 composite? Output: True Ask: Is 207215 composite? Output: True Ask: Is 577691 a composite number? Output: True Ask: Is 21701641 a composite number? Output: True Ask: Is 4853500489 a composite number? Output: False Ask: Is 9432890267 a composite number? Output: False Ask: Is 1697867 a composite number? Output: False Ask: Is 629993017 composite? Output: True Ask: Is 187764301 a prime number? Output: True Ask: Is 2659643749 composite? Output: True Ask: Is 1931 prime? Output: True Ask: Is 49641 prime? Output: False Ask: Is 276807099 a composite number? Output: True Ask: Is 69767 composite? Output: False Ask: Is 116406401 composite? Output: False Ask: Is 4552595 composite? Output: True Ask: Is 693481169 a prime number? Output: True Ask: Is 37119 composite? Output: True Ask: Is 74142916361 prime? Output: True Ask: Is 345425365 prime? Output: False Ask: Is 11201 prime? Output: False Ask: Is 5483083 a composite number? Output: True Ask: Is 1739 prime? Output: False Ask: Is 212746927 a composite number? Output: False Ask: Is 119290244057 a prime number? Output: True Ask: Is 1096174855 a composite number? Output: True Ask: Is 237048283 composite? Output: False Ask: Is 20429905061 a prime number? Output: True Ask: Is 136691 a composite number? Output: False Ask: Is 213713 prime? Output: True Ask: Is 107518 a prime number? Output: False Ask: Is 259907 a composite number? Output: False Ask: Is 24403 a prime number? Output: False Ask: Is 430349 a prime number? Output: False Ask: Is 1991 a composite number? Output: True Ask: Is 815539 prime? Output: True Ask: Is 268973659 a prime number? Output: True Ask: Is 183259 a composite number? Output: False Ask: Is 50383136003 composite? Output: True Ask: Is 833598481 a composite number? Output: True Ask: Is 823613 prime? Output: False Ask: Is 3997634 composite? Output: True Ask: Is 248826973 composite? Output: True Ask: Is 852334361 prime? Output: T
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numbers: div remainder ---------------------- Prompt: Calculate the remainder when 422735 is divided by 330. Sol: 5 Prompt: What is the remainder when 5552811 is divided by 273? Sol: 264 Prompt: What is the remainder when 10031 is divided by 57? Sol: 56 Prompt: Calculate the remainder when 42101 is divided by 935. Sol: 26 Prompt: Calculate the remainder when 9524133 is divided by 190481. Sol: 83 Prompt: What is the remainder when 730095 is divided by 282? Sol: 279 Prompt: What is the remainder when 9244 is divided by 2692? Sol: 1168 Prompt: What is the remainder when 922 is divided by 284? Sol: 70 Prompt: What is the remainder when 422352 is divided by 111? Sol: 108 Prompt: What is the remainder when 650 is divided by 225? Sol: 200 Prompt: What is the remainder when 5113969 is divided by 1278468? Sol: 97 Prompt: What is the remainder when 663 is divided by 20? Sol: 3 Prompt: Calculate the remainder when 6267 is divided by 2066. Sol: 69 Prompt: Calculate the remainder when 90142 is divided by 14. Sol: 10 Prompt: Calculate the remainder when 1515 is divided by 30. Sol: 15 Prompt: Calculate the remainder when 4192 is divided by 233. Sol: 231 Prompt: What is the remainder when 4281249 is divided by 3043? Sol: 2791 Prompt: What is the remainder when 18386 is divided by 332? Sol: 126 Prompt: Calculate the remainder when 79 is divided by 37. Sol: 5 Prompt: Calculate the remainder when 11453 is divided by 814. Sol: 57 Prompt: What is the remainder when 46734 is divided by 6? Sol: 0 Prompt: What is the remainder when 648 is divided by 568? Sol: 80 Prompt: What is the remainder when 1966 is divided by 4? Sol: 2 Prompt: What is the remainder when 226 is divided by 83? Sol: 60 Prompt: What is the remainder when 66877 is divided by 63396? Sol: 3481 Prompt: Calculate the remainder when 4077999 is divided by 377. Sol: 367 Prompt: Calculate the remainder when 1612207 is divided by 1227. Sol: 1156 Prompt: What is the remainder when 87 is divided by 5? Sol: 2 Prompt: What is the rema
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measurement: time ----------------- Input: How many minutes are there between 8:44 PM and 7:20 AM? Hence: 636 Input: How many minutes are there between 7:24 PM and 6:00 AM? Hence: 636 Input: How many minutes are there between 2:10 PM and 1:56 AM? Hence: 706 Input: What is 10 minutes before 9:20 PM? Hence: 9:10 PM Input: How many minutes are there between 4:43 PM and 9:22 PM? Hence: 279 Input: How many minutes are there between 7:01 AM and 2:37 PM? Hence: 456 Input: How many minutes are there between 6:16 AM and 3:49 PM? Hence: 573 Input: How many minutes are there between 9:25 AM and 1:16 PM? Hence: 231 Input: What is 115 minutes before 12:09 AM? Hence: 10:14 PM Input: What is 453 minutes after 4:24 PM? Hence: 11:57 PM Input: What is 158 minutes before 9:04 PM? Hence: 6:26 PM Input: How many minutes are there between 9:46 PM and 4:47 AM? Hence: 421 Input: How many minutes are there between 12:29 PM and 12:12 AM? Hence: 703 Input: How many minutes are there between 9:00 PM and 7:41 AM? Hence: 641 Input: What is 244 minutes before 10:22 PM? Hence: 6:18 PM Input: How many minutes are there between 11:00 PM and 9:18 AM? Hence: 618 Input: How many minutes are there between 11:36 PM and 12:14 AM? Hence: 38 Input: What is 249 minutes after 10:49 PM? Hence: 2:58 AM Input: How many minutes are there between 7:54 PM and 1:09 AM? Hence: 315 Input: What is 493 minutes after 9:32 PM? Hence: 5:45 AM Input: What is 641 minutes before 5:52 AM? Hence: 7:11 PM Input: What is 136 minutes after 7:10 AM? Hence: 9:26 AM Input: What is 634 minutes before 12:17 PM? Hence: 1:43 AM Input: How many minutes are there between 3:26 PM and 5:10 PM? Hence: 104 Input: What is 699 minutes after 1:15 AM? Hence: 12:54 PM Input: How many minutes are there between 3:10 AM and 9:41 AM? Hence: 391 Input: What is 617 minutes before 2:20 PM? Hence: 4:03 AM Input: What is 454 minutes before 5:27 AM? Hence: 9:53 PM Input: What is 175 minutes after 6:35 AM? Hence: 9:30 AM Input: What is 71 minutes before 5:45
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numbers: gcd ------------ Item: What is the highest common factor of 4850 and 12275? Result: 25 Item: Calculate the greatest common factor of 8852529 and 595. Result: 119 Item: Calculate the highest common factor of 136932251 and 2501. Result: 2501 Item: Calculate the highest common factor of 5840 and 1606. Result: 146 Item: Calculate the highest common divisor of 154 and 21602. Result: 14 Item: Calculate the greatest common divisor of 56220 and 438. Result: 6 Item: Calculate the greatest common divisor of 1143 and 60183. Result: 9 Item: Calculate the greatest common divisor of 16 and 409207. Result: 1 Item: Calculate the highest common divisor of 324 and 10854. Result: 162 Item: Calculate the highest common divisor of 3639 and 6. Result: 3 Item: What is the greatest common factor of 590 and 12860? Result: 10 Item: Calculate the highest common factor of 4873 and 954943. Result: 11 Item: Calculate the highest common divisor of 84630 and 12558. Result: 546 Item: What is the highest common factor of 40 and 63320? Result: 40 Item: What is the highest common factor of 3204 and 13188? Result: 12 Item: What is the greatest common factor of 168 and 63121534? Result: 14 Item: Calculate the greatest common factor of 3625 and 3475. Result: 25 Item: What is the greatest common factor of 81 and 32? Result: 1 Item: What is the highest common factor of 9396783 and 11? Result: 11 Item: What is the greatest common factor of 908 and 16? Result: 4 Item: What is the highest common divisor of 14568 and 24? Result: 24 Item: What is the greatest common divisor of 64118 and 934? Result: 2 Item: Calculate the highest common factor of 31 and 1178. Result: 31 Item: What is the highest common divisor of 420 and 24? Result: 12 Item: Calculate the greatest common divisor of 71910 and 85. Result: 85 Item: Calculate the greatest common factor of 16872 and 223776. Result: 888 Item: Calculate the highest common factor of 380014 and 51476. Result: 1514 Item: Calculate the highest common divisor of 26
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numbers: is prime ----------------- Math Problem: Is 18211 composite? A.: False Math Problem: Is 5147 a prime number? A.: True Math Problem: Is 704617 a prime number? A.: True Math Problem: Is 27237495199 composite? A.: True Math Problem: Is 21930967 prime? A.: False Math Problem: Is 6197516357 prime? A.: True Math Problem: Is 44707411 composite? A.: True Math Problem: Is 2304161 a prime number? A.: False Math Problem: Is 488855 a prime number? A.: False Math Problem: Is 44626488002 prime? A.: False Math Problem: Is 17686664573 prime? A.: False Math Problem: Is 506969 a composite number? A.: True Math Problem: Is 10779099257 a composite number? A.: False Math Problem: Is 43872131 a prime number? A.: True Math Problem: Is 3247 composite? A.: True Math Problem: Is 719790517 composite? A.: True Math Problem: Is 6221355871 prime? A.: True Math Problem: Is 14711633 prime? A.: False Math Problem: Is 149239 composite? A.: False Math Problem: Is 1345189 prime? A.: False Math Problem: Is 949493 a prime number? A.: False Math Problem: Is 15227 a prime number? A.: True Math Problem: Is 37820095 a prime number? A.: False Math Problem: Is 9199 prime? A.: True Math Problem: Is 160294283 a composite number? A.: False Math Problem: Is 771281 a prime number? A.: False Math Problem: Is 105715 composite? A.: True Math Problem: Is 822079 prime? A.: True Math Problem: Is 1578509 a prime number? A.: True Math Problem: Is 48281 a prime number? A.: True Math Problem: Is 5481059 a composite number? A.: True Math Problem: Is 84998029 a composite number? A.: False Math Problem: Is 9555061843 a composite number? A.: False Math Problem: Is 118099 composite? A.: True Math Problem: Is 1100988751 a prime number? A.: True Math Problem: Is 319499815241 prime? A.: True Math Problem: Is 472741 composite? A.: False Math Problem: Is 37481 prime? A.: False Math Problem: Is 116724121 prime? A.: True Math Problem: Is 961319 a composite number? A.: False Math Problem: Is 3254175607 a composite number? A.: F
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numbers: place value -------------------- Request: What is the hundreds digit of 38993347? A.: 3 Request: What is the thousands digit of 64209? A.: 4 Request: What is the ten thousands digit of 237402? A.: 3 Request: What is the thousands digit of 2076256188? A.: 6 Request: What is the ten thousands digit of 24006? A.: 2 Request: What is the millions digit of 1122723218? A.: 2 Request: What is the thousands digit of 1319252894? A.: 2 Request: What is the tens digit of 357? A.: 5 Request: What is the hundred thousands digit of 1105604712? A.: 6 Request: What is the millions digit of 1349455186? A.: 9 Request: What is the units digit of 580850? A.: 0 Request: What is the thousands digit of 1710423? A.: 0 Request: What is the ten thousands digit of 562499? A.: 6 Request: What is the tens digit of 111? A.: 1 Request: What is the hundreds digit of 210421? A.: 4 Request: What is the ten thousands digit of 9442070? A.: 4 Request: What is the units digit of 2611966? A.: 6 Request: What is the hundred millions digit of 1377922444? A.: 3 Request: What is the hundred thousands digit of 464353884? A.: 3 Request: What is the thousands digit of 187333? A.: 7 Request: What is the billions digit of 1369089698? A.: 1 Request: What is the hundreds digit of 7580? A.: 5 Request: What is the ten thousands digit of 588872393? A.: 7 Request: What is the millions digit of 75229487? A.: 5 Request: What is the hundred thousands digit of 2832819? A.: 8 Request: What is the ten thousands digit of 1064801? A.: 6 Request: What is the hundreds digit of 71225? A.: 2 Request: What is the hundred thousands digit of 421274808? A.: 2 Request: What is the hundreds digit of 449117? A.: 1 Request: What is the hundred thousands digit of 13057532? A.: 0 Request: What is the units digit of 4038034727? A.: 7 Request: What is the hundreds digit of 104209? A.: 2 Request: What is the thousands digit of 8632974? A.: 2 Request: What is the ten thousands digit of 22330757? A.: 3 Request: What is the millions digit
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measurement: conversion ----------------------- Case: Convert 0.8345554 kilometers to centimeters. Thus: 83455.54 Case: Convert 391.1399 centuries to decades. Thus: 3911.399 Case: Convert 60961.55l to millilitres. Thus: 60961550 Case: How many micrograms are there in one quarter of a milligram? Thus: 250 Case: How many years are there in 21.519462 months? Thus: 1.7932885 Case: How many millimeters are there in fifty-one quarters of a meter? Thus: 12750 Case: Convert 1.980288ml to litres. Thus: 0.001980288 Case: How many minutes are there in thirty-four ninths of a week? Thus: 38080 Case: What is 9198.356 micrometers in centimeters? Thus: 0.9198356 Case: How many micrometers are there in 477817.6 millimeters? Thus: 477817600 Case: What is 3.166166l in millilitres? Thus: 3166.166 Case: How many years are there in 6/25 of a century? Thus: 24 Case: How many centimeters are there in 48/5 of a meter? Thus: 960 Case: What is twenty-nine fifths of a tonne in kilograms? Thus: 5800 Case: How many millilitres are there in 46/5 of a litre? Thus: 9200 Case: How many days are there in 0.0088709 weeks? Thus: 0.0620963 Case: How many kilograms are there in twenty-one eighths of a tonne? Thus: 2625 Case: How many millennia are there in 14.06908 years? Thus: 0.01406908 Case: What is 6/5 of a millennium in years? Thus: 1200 Case: How many decades are there in 6/25 of a millennium? Thus: 24 Case: Convert 87.63883ng to kilograms. Thus: 0.00000000008763883 Case: How many micrometers are there in 27/4 of a millimeter? Thus: 6750 Case: What is 8/25 of a litre in millilitres? Thus: 320 Case: Convert 198208.9km to meters. Thus: 198208900 Case: How many grams are there in 32/5 of a kilogram? Thus: 6400 Case: What is 4372.94mm in nanometers? Thus: 4372940000 Case: What is one fifth of a millennium in decades? Thus: 20 Case: How many meters are there in 62053.09 millimeters? Thus: 62.05309 Case: What is 331.8921 micrograms in nanograms? Thus: 331892.1 Case: What is 1/10 of a meter in micrometer
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numbers: place value -------------------- Task: What is the hundred thousands digit of 999199210? Soln: 1 Task: What is the hundred thousands digit of 3762666? Soln: 7 Task: What is the hundreds digit of 16487741? Soln: 7 Task: What is the units digit of 278358692? Soln: 2 Task: What is the millions digit of 366568730? Soln: 6 Task: What is the hundreds digit of 89819650? Soln: 6 Task: What is the ten thousands digit of 240980965? Soln: 8 Task: What is the units digit of 12817749? Soln: 9 Task: What is the ten thousands digit of 55186? Soln: 5 Task: What is the millions digit of 68736492? Soln: 8 Task: What is the hundreds digit of 45968? Soln: 9 Task: What is the ten thousands digit of 124506? Soln: 2 Task: What is the tens digit of 26918? Soln: 1 Task: What is the hundreds digit of 7246? Soln: 2 Task: What is the tens digit of 2778? Soln: 7 Task: What is the ten thousands digit of 34947838? Soln: 4 Task: What is the thousands digit of 1810899? Soln: 0 Task: What is the hundreds digit of 5855186? Soln: 1 Task: What is the ten millions digit of 4074616987? Soln: 7 Task: What is the units digit of 327? Soln: 7 Task: What is the thousands digit of 3925569? Soln: 5 Task: What is the units digit of 190639? Soln: 9 Task: What is the units digit of 3422? Soln: 2 Task: What is the units digit of 22986190? Soln: 0 Task: What is the tens digit of 1813? Soln: 1 Task: What is the hundreds digit of 549949? Soln: 9 Task: What is the hundreds digit of 1430? Soln: 4 Task: What is the hundred thousands digit of 6155687? Soln: 1 Task: What is the units digit of 23741120? Soln: 0 Task: What is the thousands digit of 1350892? Soln: 0 Task: What is the thousands digit of 69774? Soln: 9 Task: What is the hundreds digit of 14288? Soln: 2 Task: What is the ten thousands digit of 15692? Soln: 1 Task: What is the thousands digit of 455603855? Soln: 3 Task: What is the hundred thousands digit of 457372935? Soln: 3 Task: What is the thousands digit of 69831? Soln: 9 Task: What is the hundred
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numbers: place value -------------------- Task: What is the millions digit of 29206473? Reply: 9 Task: What is the ten thousands digit of 17412063? Reply: 1 Task: What is the units digit of 1266318479? Reply: 9 Task: What is the ten thousands digit of 34774508? Reply: 7 Task: What is the millions digit of 1660168? Reply: 1 Task: What is the units digit of 74867? Reply: 7 Task: What is the millions digit of 387009153? Reply: 7 Task: What is the hundreds digit of 156842? Reply: 8 Task: What is the hundred thousands digit of 2262777962? Reply: 7 Task: What is the hundreds digit of 431268119? Reply: 1 Task: What is the hundred thousands digit of 3425764? Reply: 4 Task: What is the units digit of 1738? Reply: 8 Task: What is the millions digit of 1143402? Reply: 1 Task: What is the ten thousands digit of 483286? Reply: 8 Task: What is the tens digit of 317? Reply: 1 Task: What is the hundreds digit of 1192469511? Reply: 5 Task: What is the tens digit of 33115141? Reply: 4 Task: What is the units digit of 382? Reply: 2 Task: What is the hundreds digit of 29011? Reply: 0 Task: What is the ten thousands digit of 196463394? Reply: 6 Task: What is the tens digit of 390652415? Reply: 1 Task: What is the millions digit of 11511387? Reply: 1 Task: What is the millions digit of 4199235? Reply: 4 Task: What is the units digit of 1310? Reply: 0 Task: What is the units digit of 6348? Reply: 8 Task: What is the tens digit of 10339271? Reply: 7 Task: What is the hundred millions digit of 998799607? Reply: 9 Task: What is the tens digit of 2552496? Reply: 9 Task: What is the ten thousands digit of 4548576886? Reply: 7 Task: What is the hundreds digit of 55588875? Reply: 8 Task: What is the hundreds digit of 56755? Reply: 7 Task: What is the units digit of 33205? Reply: 5 Task: What is the units digit of 6327050? Reply: 0 Task: What is the ten millions digit of 1635505787? Reply: 3 Task: What is the hundred thousands digit of 4962859? Reply: 9 Task: What is the millions digit of 8397483
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measurement: time ----------------- Q): How many minutes are there between 12:46 PM and 10:31 PM? Solution: 585 Q): What is 321 minutes after 12:54 AM? Solution: 6:15 AM Q): What is 175 minutes after 1:03 AM? Solution: 3:58 AM Q): What is 401 minutes before 6:58 PM? Solution: 12:17 PM Q): How many minutes are there between 8:33 AM and 7:33 PM? Solution: 660 Q): How many minutes are there between 7:21 AM and 2:58 PM? Solution: 457 Q): What is 324 minutes before 6:28 AM? Solution: 1:04 AM Q): How many minutes are there between 6:00 PM and 9:11 PM? Solution: 191 Q): How many minutes are there between 5:28 PM and 3:45 AM? Solution: 617 Q): What is 9 minutes before 5:44 PM? Solution: 5:35 PM Q): What is 300 minutes after 2:51 AM? Solution: 7:51 AM Q): What is 291 minutes before 2:03 PM? Solution: 9:12 AM Q): What is 217 minutes before 3:35 AM? Solution: 11:58 PM Q): What is 616 minutes before 11:56 AM? Solution: 1:40 AM Q): How many minutes are there between 2:29 PM and 2:02 AM? Solution: 693 Q): What is 11 minutes before 7:24 AM? Solution: 7:13 AM Q): What is 647 minutes before 2:44 AM? Solution: 3:57 PM Q): What is 616 minutes before 1:23 PM? Solution: 3:07 AM Q): What is 524 minutes before 1:10 AM? Solution: 4:26 PM Q): How many minutes are there between 11:16 AM and 10:36 PM? Solution: 680 Q): What is 48 minutes before 8:31 PM? Solution: 7:43 PM Q): What is 699 minutes before 11:59 PM? Solution: 12:20 PM Q): What is 492 minutes before 4:57 AM? Solution: 8:45 PM Q): How many minutes are there between 2:14 PM and 3:57 PM? Solution: 103 Q): What is 628 minutes before 2:44 AM? Solution: 4:16 PM Q): What is 353 minutes after 1:27 PM? Solution: 7:20 PM Q): What is 423 minutes before 5:27 PM? Solution: 10:24 AM Q): How many minutes are there between 1:52 AM and 2:03 AM? Solution: 11 Q): How many minutes are there between 1:52 PM and 2:17 PM? Solution: 25 Q): How many minutes are there between 9:13 AM and 4:07 PM? Solution: 414 Q): What is 56 minutes after 1:49 AM? Solution:
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numbers: gcd ------------ Math Problem: What is the greatest common divisor of 896517 and 1775? Eval: 71 Math Problem: What is the greatest common divisor of 5000 and 140? Eval: 20 Math Problem: What is the greatest common divisor of 2231 and 873? Eval: 97 Math Problem: Calculate the greatest common factor of 14487 and 598653. Eval: 33 Math Problem: What is the highest common factor of 15330 and 5? Eval: 5 Math Problem: Calculate the greatest common divisor of 189 and 3801. Eval: 21 Math Problem: Calculate the greatest common factor of 490471 and 1567. Eval: 1567 Math Problem: What is the greatest common factor of 198 and 383372? Eval: 22 Math Problem: Calculate the greatest common factor of 238360 and 303505. Eval: 505 Math Problem: Calculate the highest common factor of 116 and 319. Eval: 29 Math Problem: Calculate the highest common divisor of 1781 and 91. Eval: 13 Math Problem: Calculate the greatest common divisor of 8 and 160. Eval: 8 Math Problem: Calculate the highest common divisor of 16255 and 566935388. Eval: 3251 Math Problem: What is the greatest common divisor of 76 and 9234? Eval: 38 Math Problem: What is the highest common factor of 42 and 65226? Eval: 42 Math Problem: Calculate the highest common factor of 744 and 341. Eval: 31 Math Problem: Calculate the highest common divisor of 1455 and 15. Eval: 15 Math Problem: Calculate the highest common factor of 958 and 549152. Eval: 2 Math Problem: What is the greatest common divisor of 2133622087 and 8443? Eval: 8443 Math Problem: What is the highest common factor of 43378 and 117875? Eval: 943 Math Problem: Calculate the greatest common divisor of 44154 and 198. Eval: 198 Math Problem: Calculate the highest common divisor of 1363 and 47. Eval: 47 Math Problem: Calculate the greatest common factor of 2159 and 246380. Eval: 127 Math Problem: Calculate the greatest common divisor of 5364 and 84. Eval: 12 Math Problem: What is the greatest common divisor of 165 and 187? Eval: 11 Math Problem: What is the hig
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numbers: is prime ----------------- Input: Is 80118601019 a prime number? Explanation: True Input: Is 9843625147 prime? Explanation: False Input: Is 13043 a prime number? Explanation: True Input: Is 129115310833 a prime number? Explanation: True Input: Is 2060376541 a composite number? Explanation: False Input: Is 942595 a composite number? Explanation: True Input: Is 1252130707 prime? Explanation: True Input: Is 5883967 prime? Explanation: True Input: Is 826891 composite? Explanation: True Input: Is 22420956679 a composite number? Explanation: True Input: Is 55772969585 composite? Explanation: True Input: Is 1125467 prime? Explanation: False Input: Is 287891827 a prime number? Explanation: True Input: Is 15156065381 composite? Explanation: False Input: Is 10949 prime? Explanation: True Input: Is 214858579 a prime number? Explanation: False Input: Is 3377 prime? Explanation: False Input: Is 57197 a prime number? Explanation: False Input: Is 4166443835 composite? Explanation: True Input: Is 526969529 prime? Explanation: True Input: Is 100569223 prime? Explanation: False Input: Is 122817 prime? Explanation: False Input: Is 250307 a composite number? Explanation: False Input: Is 7378158497 a composite number? Explanation: False Input: Is 119821673 prime? Explanation: True Input: Is 1440899 composite? Explanation: True Input: Is 14505311507 composite? Explanation: False Input: Is 805114693 a prime number? Explanation: True Input: Is 67588447 a prime number? Explanation: False Input: Is 3338443 a prime number? Explanation: False Input: Is 26186 composite? Explanation: True Input: Is 44031067 a composite number? Explanation: True Input: Is 27505 a prime number? Explanation: False Input: Is 2785832509 a prime number? Explanation: True Input: Is 433079 a composite number? Explanation: False Input: Is 173291 a composite number? Explanation: False Input: Is 119381849 a composite number? Explanation: False Input: Is 299735473 a composite number? Explanation: False Input: Is 21
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numbers: is prime ----------------- Request: Is 92917 composite? Response: True Request: Is 287567 prime? Response: False Request: Is 1461919 prime? Response: False Request: Is 18395720209 composite? Response: False Request: Is 256250581 a composite number? Response: False Request: Is 3079271 a prime number? Response: False Request: Is 118661 a composite number? Response: False Request: Is 5753578 a prime number? Response: False Request: Is 184096849 prime? Response: False Request: Is 5009233 a composite number? Response: False Request: Is 335624782 composite? Response: True Request: Is 663208817 a composite number? Response: False Request: Is 11625360119 a prime number? Response: False Request: Is 4205627 prime? Response: False Request: Is 393642397 composite? Response: False Request: Is 7154257807 prime? Response: False Request: Is 15280453 a composite number? Response: True Request: Is 3784327 prime? Response: False Request: Is 1484737 a composite number? Response: False Request: Is 1150086523 prime? Response: True Request: Is 91285541 prime? Response: True Request: Is 3978553 prime? Response: True Request: Is 13574783 composite? Response: False Request: Is 4561031357 composite? Response: False Request: Is 98024254781 a composite number? Response: True Request: Is 17621 composite? Response: True Request: Is 11932979 a composite number? Response: False Request: Is 3653 a composite number? Response: True Request: Is 9271534787 prime? Response: False Request: Is 470983 a prime number? Response: False Request: Is 13188827 prime? Response: True Request: Is 97478426651 prime? Response: True Request: Is 23803619 a composite number? Response: True Request: Is 444401 prime? Response: True Request: Is 15859 a composite number? Response: False Request: Is 593949691 a prime number? Response: True Request: Is 51069658 prime? Response: False Request: Is 659110745 a prime number? Response: False Request: Is 401123 composite? Response: True Request: Is 667242721 prime? Response:
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numbers: is factor ------------------ Question: Is 197210785 a multiple of 22? Soln: False Question: Is 461720994 a multiple of 17? Soln: False Question: Does 6523 divide 2275952108? Soln: False Question: Is 181904 a multiple of 8? Soln: True Question: Is 504 a multiple of 28? Soln: True Question: Is 8964210 a multiple of 215? Soln: True Question: Is 3052722735 a multiple of 81? Soln: True Question: Does 2 divide 220? Soln: True Question: Is 1422 a factor of 432975156? Soln: False Question: Does 3601 divide 515335509? Soln: True Question: Does 11 divide 55286? Soln: True Question: Does 19 divide 335552445? Soln: True Question: Is 205400 a multiple of 158? Soln: True Question: Is 656 a multiple of 9? Soln: False Question: Is 27 a factor of 4688815? Soln: False Question: Is 51 a factor of 2131? Soln: False Question: Is 4 a factor of 4804? Soln: True Question: Is 50 a factor of 50? Soln: True Question: Is 2233 a multiple of 7? Soln: True Question: Does 181 divide 2592227170? Soln: False Question: Is 588019 a multiple of 105? Soln: False Question: Does 11 divide 20878? Soln: True Question: Is 2394 a multiple of 14? Soln: True Question: Is 19 a factor of 173393? Soln: False Question: Is 1101 a factor of 56509926? Soln: True Question: Is 4109784 a multiple of 21? Soln: True Question: Is 486701514 a multiple of 26? Soln: True Question: Is 3146 a multiple of 13? Soln: True Question: Is 17640 a multiple of 105? Soln: True Question: Is 23 a factor of 391777262? Soln: True Question: Does 2061 divide 426476547? Soln: True Question: Is 10 a factor of 830? Soln: True Question: Is 240 a multiple of 20? Soln: True Question: Does 5 divide 223071420? Soln: True Question: Is 2126883 a multiple of 11? Soln: True Question: Is 22 a factor of 308377? Soln: False Question: Is 32 a factor of 13073? Soln: False Question: Does 1204 divide 9391200? Soln: True Question: Does 179 divide 1106617? Soln: False Question: Does 39 divide 117? Soln: True Question: Is 1217592 a multiple of 12? Soln: Tru
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numbers: is prime ----------------- Qn: Is 42420113 a prime number? Explanation: False Qn: Is 23211373043 a composite number? Explanation: False Qn: Is 6071 a prime number? Explanation: False Qn: Is 1160933 a prime number? Explanation: False Qn: Is 38635637 prime? Explanation: True Qn: Is 795614839 a prime number? Explanation: True Qn: Is 500856347 a composite number? Explanation: False Qn: Is 4849419 a composite number? Explanation: True Qn: Is 10558217669 a prime number? Explanation: True Qn: Is 169987 a prime number? Explanation: True Qn: Is 1108049 a prime number? Explanation: True Qn: Is 274049 a prime number? Explanation: False Qn: Is 87379 prime? Explanation: False Qn: Is 5027 a composite number? Explanation: True Qn: Is 250325507 composite? Explanation: True Qn: Is 150715991 composite? Explanation: False Qn: Is 633096647 a composite number? Explanation: False Qn: Is 24352189 prime? Explanation: True Qn: Is 421295089 composite? Explanation: True Qn: Is 57029947 a composite number? Explanation: True Qn: Is 1197205 composite? Explanation: True Qn: Is 2532253421 prime? Explanation: True Qn: Is 2320256423 prime? Explanation: True Qn: Is 2744927 a prime number? Explanation: False Qn: Is 133084813 prime? Explanation: True Qn: Is 81579593 a composite number? Explanation: True Qn: Is 656283 prime? Explanation: False Qn: Is 212786903 a prime number? Explanation: False Qn: Is 5565286733 composite? Explanation: True Qn: Is 661591 composite? Explanation: True Qn: Is 45692341 composite? Explanation: True Qn: Is 18363962483 a prime number? Explanation: True Qn: Is 4267033 composite? Explanation: False Qn: Is 62171 composite? Explanation: False Qn: Is 161501 a composite number? Explanation: True Qn: Is 25819 a prime number? Explanation: True Qn: Is 213389993 a prime number? Explanation: False Qn: Is 7974899 a prime number? Explanation: True Qn: Is 43625831 composite? Explanation: True Qn: Is 134673107 a prime number? Explanation: True Qn: Is 8637 a composite number? Explana
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probability: swr p level set ---------------------------- Exercise: What is prob of picking 1 y, 1 h, 1 m, and 1 p when four letters picked without replacement from {m: 3, p: 1, y: 2, h: 1}? A.: 6/35 Exercise: Three letters picked without replacement from dgccd. What is prob of picking 1 g, 1 c, and 1 d? A.: 2/5 Exercise: Three letters picked without replacement from {l: 7, y: 1}. What is prob of picking 2 y and 1 l? A.: 0 Exercise: Calculate prob of picking 3 e and 1 x when four letters picked without replacement from {x: 2, e: 5}. A.: 4/7 Exercise: Two letters picked without replacement from wkwmwyywwyqvwwwywy. What is prob of picking 1 k and 1 m? A.: 1/153 Exercise: Three letters picked without replacement from {j: 2, p: 1, z: 1, c: 2}. What is prob of picking 2 c and 1 z? A.: 1/20 Exercise: Four letters picked without replacement from {n: 2, h: 4, y: 1, r: 1, e: 4, v: 3}. Give prob of picking 1 h, 1 y, 1 r, and 1 e. A.: 16/1365 Exercise: Calculate prob of picking 3 a and 1 w when four letters picked without replacement from wawuaauwwh. A.: 2/105 Exercise: Two letters picked without replacement from csooo. What is prob of picking 1 o and 1 c? A.: 3/10 Exercise: Four letters picked without replacement from {l: 2, p: 6}. Give prob of picking 2 l and 2 p. A.: 3/14 Exercise: Two letters picked without replacement from {a: 1, u: 1, o: 11}. What is prob of picking 1 a and 1 o? A.: 11/78 Exercise: Three letters picked without replacement from vvvvjwfjvfjfjvwwwvv. What is prob of picking 2 v and 1 j? A.: 112/969 Exercise: Two letters picked without replacement from iiiiliiiiill. Give prob of picking 2 i. A.: 6/11 Exercise: What is prob of picking 1 p and 2 t when three letters picked without replacement from ottppppooopppo? A.: 1/52 Exercise: What is prob of picking 1 z and 1 v when two letters picked without replacement from {r: 5, z: 6, m: 4, v: 1}? A.: 1/20 Exercise: Two letters picked without replacement from odzizzodzf. Give prob of picking 2 d. A.: 1/45 Exercise: W
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probability: swr p sequence --------------------------- Q=: Three letters picked without replacement from {f: 1, c: 2, v: 4, d: 1, a: 1}. What is prob of sequence dac? Explanation: 1/252 Q=: What is prob of sequence rb when two letters picked without replacement from rqbbqrqbbbq? Explanation: 1/11 Q=: What is prob of sequence ptv when three letters picked without replacement from {v: 1, p: 7, t: 1, c: 5}? Explanation: 1/312 Q=: Two letters picked without replacement from {e: 7, j: 4, b: 4}. What is prob of sequence jj? Explanation: 2/35 Q=: Three letters picked without replacement from vtvxxxcltxtxxxxt. What is prob of sequence xct? Explanation: 1/105 Q=: What is prob of sequence uma when three letters picked without replacement from maaomaapouo? Explanation: 4/495 Q=: Four letters picked without replacement from keeererk. What is prob of sequence ekrr? Explanation: 1/105 Q=: What is prob of sequence ssx when three letters picked without replacement from xcccscccxsssxccc? Explanation: 3/280 Q=: Calculate prob of sequence kkt when three letters picked without replacement from skusttutuskkt. Explanation: 2/143 Q=: Calculate prob of sequence kgj when three letters picked without replacement from {j: 4, g: 1, k: 2, e: 3, f: 1}. Explanation: 4/495 Q=: What is prob of sequence vvv when three letters picked without replacement from vvvvvpvp? Explanation: 5/14 Q=: Three letters picked without replacement from jtttyjtjttdtjttjyy. Give prob of sequence yyj. Explanation: 5/816 Q=: Calculate prob of sequence tu when two letters picked without replacement from suzuuzt. Explanation: 1/14 Q=: What is prob of sequence bidc when four letters picked without replacement from {d: 3, y: 1, c: 5, i: 1, b: 1}? Explanation: 1/528 Q=: Two letters picked without replacement from {k: 3, d: 1, z: 4, y: 1, s: 2}. What is prob of sequence dy? Explanation: 1/110 Q=: What is prob of sequence iiaa when four letters picked without replacement from {i: 7, a: 6}? Explanation: 21/286 Q=: What is prob o
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numbers: is prime ----------------- Inquiry: Is 1255 a composite number? Reply: True Inquiry: Is 538709 a prime number? Reply: True Inquiry: Is 10519 a prime number? Reply: False Inquiry: Is 21577961 composite? Reply: True Inquiry: Is 176977 prime? Reply: True Inquiry: Is 1293593447 a prime number? Reply: True Inquiry: Is 76235177 a prime number? Reply: False Inquiry: Is 1080908333 prime? Reply: False Inquiry: Is 1683656237 a prime number? Reply: True Inquiry: Is 227609 a composite number? Reply: False Inquiry: Is 1355017 composite? Reply: True Inquiry: Is 84321494681 a prime number? Reply: True Inquiry: Is 7555 a composite number? Reply: True Inquiry: Is 263013136951 composite? Reply: False Inquiry: Is 74485727 composite? Reply: False Inquiry: Is 1325627 a prime number? Reply: True Inquiry: Is 10642210853 a prime number? Reply: False Inquiry: Is 18948194839 a prime number? Reply: False Inquiry: Is 1058947597 a composite number? Reply: False Inquiry: Is 15036858347 prime? Reply: False Inquiry: Is 16759 composite? Reply: False Inquiry: Is 1457369 prime? Reply: False Inquiry: Is 1340363669 a composite number? Reply: False Inquiry: Is 334619 a composite number? Reply: False Inquiry: Is 243889 a composite number? Reply: False Inquiry: Is 2257239359 composite? Reply: False Inquiry: Is 212042921 composite? Reply: True Inquiry: Is 563401 a composite number? Reply: False Inquiry: Is 11496452173 a prime number? Reply: True Inquiry: Is 146 composite? Reply: True Inquiry: Is 4559 a prime number? Reply: False Inquiry: Is 11617854253 composite? Reply: False Inquiry: Is 131732938 a composite number? Reply: True Inquiry: Is 318048097 a prime number? Reply: False Inquiry: Is 1652174 composite? Reply: True Inquiry: Is 12084011 prime? Reply: True Inquiry: Is 3173329 a composite number? Reply: False Inquiry: Is 895081 a prime number? Reply: False Inquiry: Is 364487 a prime number? Reply: False Inquiry: Is 85139 a composite number? Reply: True Inquiry: Is 650971 a composite number? Rep
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probability: swr p level set ---------------------------- Q-: Two letters picked without replacement from dkkekkpeeeke. What is prob of picking 2 e? Sol: 5/33 Q-: Four letters picked without replacement from rcxtqxtrqxcj. What is prob of picking 1 r, 2 q, and 1 c? Sol: 4/495 Q-: Three letters picked without replacement from {j: 1, a: 1, u: 1, n: 1, c: 1}. Give prob of picking 1 a, 1 u, and 1 n. Sol: 1/10 Q-: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from xbbbbnpbnmexxexbb. Sol: 1/17 Q-: Calculate prob of picking 1 h, 1 o, 1 a, and 1 n when four letters picked without replacement from {o: 1, a: 1, n: 1, h: 1, f: 1}. Sol: 1/5 Q-: What is prob of picking 1 u, 2 m, and 1 a when four letters picked without replacement from {k: 2, a: 1, m: 1, u: 1, f: 4}? Sol: 0 Q-: What is prob of picking 2 q and 2 t when four letters picked without replacement from {q: 3, t: 9}? Sol: 12/55 Q-: What is prob of picking 2 z when two letters picked without replacement from {p: 1, a: 1, z: 2, e: 8, m: 1, x: 1}? Sol: 1/91 Q-: Calculate prob of picking 2 n, 1 r, and 1 l when four letters picked without replacement from {r: 7, n: 5, l: 2}. Sol: 20/143 Q-: Calculate prob of picking 4 q when four letters picked without replacement from {e: 6, p: 3, q: 4}. Sol: 1/715 Q-: Two letters picked without replacement from {p: 1, z: 2, t: 1, a: 1, u: 1, y: 2}. What is prob of picking 1 a and 1 y? Sol: 1/14 Q-: Calculate prob of picking 1 w and 2 b when three letters picked without replacement from fdffbfbccdbubwb. Sol: 2/91 Q-: Three letters picked without replacement from tctvftwvttcvt. Give prob of picking 1 t, 1 c, and 1 v. Sol: 18/143 Q-: Three letters picked without replacement from {a: 9, m: 7}. Give prob of picking 2 m and 1 a. Sol: 27/80 Q-: Four letters picked without replacement from {u: 2, f: 8, v: 8}. What is prob of picking 4 v? Sol: 7/306 Q-: Calculate prob of picking 1 s and 3 k when four letters picked without replacement from keskqqsessisesk. Sol: 2/
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numbers: place value -------------------- Problem: What is the hundred thousands digit of 14775944? A: 7 Problem: What is the units digit of 847? A: 7 Problem: What is the hundreds digit of 2293? A: 2 Problem: What is the hundred thousands digit of 315497? A: 3 Problem: What is the ten thousands digit of 19797? A: 1 Problem: What is the hundreds digit of 2769105? A: 1 Problem: What is the hundred thousands digit of 131748? A: 1 Problem: What is the hundreds digit of 17691? A: 6 Problem: What is the hundreds digit of 79392842? A: 8 Problem: What is the ten millions digit of 103569828? A: 0 Problem: What is the tens digit of 6074223251? A: 5 Problem: What is the hundreds digit of 4135? A: 1 Problem: What is the tens digit of 42036? A: 3 Problem: What is the hundreds digit of 891038? A: 0 Problem: What is the units digit of 1448? A: 8 Problem: What is the hundreds digit of 190040? A: 0 Problem: What is the units digit of 4568700138? A: 8 Problem: What is the hundred thousands digit of 6286937? A: 2 Problem: What is the units digit of 844? A: 4 Problem: What is the tens digit of 825307? A: 0 Problem: What is the hundreds digit of 5809? A: 8 Problem: What is the thousands digit of 1764051329? A: 1 Problem: What is the ten thousands digit of 12401? A: 1 Problem: What is the thousands digit of 2939052? A: 9 Problem: What is the thousands digit of 7824? A: 7 Problem: What is the tens digit of 175331? A: 3 Problem: What is the tens digit of 1103? A: 0 Problem: What is the tens digit of 292374? A: 7 Problem: What is the hundred thousands digit of 1161455366? A: 4 Problem: What is the hundreds digit of 18064324? A: 3 Problem: What is the ten thousands digit of 625297668? A: 9 Problem: What is the tens digit of 17213? A: 1 Problem: What is the ten thousands digit of 3400389323? A: 8 Problem: What is the tens digit of 3433? A: 3 Problem: What is the hundreds digit of 16903? A: 9 Problem: What is the hundred millions digit of 574991483? A: 5 Problem: What is the ten thousands dig
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measurement: time ----------------- Topic: What is 342 minutes after 9:20 AM? Conclusion: 3:02 PM Topic: How many minutes are there between 12:31 AM and 4:08 AM? Conclusion: 217 Topic: What is 663 minutes before 6:58 AM? Conclusion: 7:55 PM Topic: How many minutes are there between 5:55 AM and 12:40 PM? Conclusion: 405 Topic: How many minutes are there between 6:50 PM and 8:12 PM? Conclusion: 82 Topic: How many minutes are there between 10:03 AM and 6:05 PM? Conclusion: 482 Topic: How many minutes are there between 6:57 AM and 1:22 PM? Conclusion: 385 Topic: What is 663 minutes after 3:56 AM? Conclusion: 2:59 PM Topic: What is 445 minutes before 6:12 AM? Conclusion: 10:47 PM Topic: How many minutes are there between 3:07 PM and 2:16 AM? Conclusion: 669 Topic: What is 703 minutes before 6:17 PM? Conclusion: 6:34 AM Topic: How many minutes are there between 6:28 AM and 10:31 AM? Conclusion: 243 Topic: What is 142 minutes before 10:39 AM? Conclusion: 8:17 AM Topic: What is 237 minutes before 4:36 PM? Conclusion: 12:39 PM Topic: What is 584 minutes after 8:51 AM? Conclusion: 6:35 PM Topic: What is 48 minutes after 12:55 AM? Conclusion: 1:43 AM Topic: How many minutes are there between 11:40 AM and 10:44 PM? Conclusion: 664 Topic: What is 123 minutes after 7:24 AM? Conclusion: 9:27 AM Topic: How many minutes are there between 10:37 AM and 4:37 PM? Conclusion: 360 Topic: How many minutes are there between 2:24 PM and 6:21 PM? Conclusion: 237 Topic: What is 97 minutes after 12:20 PM? Conclusion: 1:57 PM Topic: What is 156 minutes before 1:43 PM? Conclusion: 11:07 AM Topic: How many minutes are there between 10:27 PM and 7:04 AM? Conclusion: 517 Topic: How many minutes are there between 3:16 PM and 6:59 PM? Conclusion: 223 Topic: What is 549 minutes after 1:44 PM? Conclusion: 10:53 PM Topic: What is 406 minutes before 5:17 AM? Conclusion: 10:31 PM Topic: What is 405 minutes before 5:17 PM? Conclusion: 10:32 AM Topic: How many minutes are there between 3:59 AM and 12:26 PM?
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measurement: time ----------------- Q=: What is 507 minutes before 2:10 AM? Clarification: 5:43 PM Q=: What is 406 minutes before 2:35 AM? Clarification: 7:49 PM Q=: What is 493 minutes after 9:46 AM? Clarification: 5:59 PM Q=: How many minutes are there between 5:10 AM and 9:08 AM? Clarification: 238 Q=: What is 156 minutes after 12:40 AM? Clarification: 3:16 AM Q=: How many minutes are there between 9:16 AM and 8:08 PM? Clarification: 652 Q=: How many minutes are there between 10:13 AM and 5:37 PM? Clarification: 444 Q=: What is 115 minutes before 6:20 PM? Clarification: 4:25 PM Q=: What is 558 minutes before 6:18 AM? Clarification: 9:00 PM Q=: What is 110 minutes after 12:14 PM? Clarification: 2:04 PM Q=: How many minutes are there between 3:09 AM and 12:53 PM? Clarification: 584 Q=: What is 611 minutes before 10:13 AM? Clarification: 12:02 AM Q=: What is 663 minutes before 10:59 AM? Clarification: 11:56 PM Q=: What is 689 minutes after 3:46 AM? Clarification: 3:15 PM Q=: How many minutes are there between 2:18 PM and 7:22 PM? Clarification: 304 Q=: How many minutes are there between 5:58 PM and 6:02 PM? Clarification: 4 Q=: How many minutes are there between 9:17 PM and 8:27 AM? Clarification: 670 Q=: How many minutes are there between 6:15 PM and 11:37 PM? Clarification: 322 Q=: How many minutes are there between 12:02 PM and 10:30 PM? Clarification: 628 Q=: How many minutes are there between 3:00 PM and 4:17 PM? Clarification: 77 Q=: How many minutes are there between 8:11 AM and 5:49 PM? Clarification: 578 Q=: How many minutes are there between 1:35 PM and 4:11 PM? Clarification: 156 Q=: What is 657 minutes after 10:12 AM? Clarification: 9:09 PM Q=: How many minutes are there between 5:48 PM and 9:03 PM? Clarification: 195 Q=: How many minutes are there between 3:53 PM and 5:56 PM? Clarification: 123 Q=: What is 156 minutes after 4:51 AM? Clarification: 7:27 AM Q=: How many minutes are there between 11:10 AM and 7:00 PM? Clarification: 470 Q=: What is 641 min
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probability: swr p level set ---------------------------- Math Problem: What is prob of picking 1 i and 1 u when two letters picked without replacement from {i: 1, t: 3, l: 1, q: 1, u: 1}? Math A: 1/21 Math Problem: Two letters picked without replacement from {t: 1, q: 3, p: 5, y: 6, d: 3, j: 2}. Give prob of picking 2 j. Math A: 1/190 Math Problem: Three letters picked without replacement from {w: 1, b: 1, r: 1, f: 4, t: 3, o: 2}. What is prob of picking 1 r, 1 o, and 1 b? Math A: 1/110 Math Problem: Calculate prob of picking 4 x when four letters picked without replacement from xxxxx. Math A: 1 Math Problem: What is prob of picking 3 i when three letters picked without replacement from iiiiiiixiixiiiiixi? Math A: 455/816 Math Problem: Two letters picked without replacement from usuustuusuouuustiusu. Give prob of picking 1 o and 1 u. Math A: 11/190 Math Problem: Two letters picked without replacement from {i: 2, b: 4, o: 1}. What is prob of picking 2 b? Math A: 2/7 Math Problem: What is prob of picking 2 v, 1 m, and 1 i when four letters picked without replacement from iizzzizimiioziv? Math A: 0 Math Problem: Three letters picked without replacement from {g: 1, t: 2, i: 1, f: 1}. What is prob of picking 1 t, 1 g, and 1 i? Math A: 1/5 Math Problem: Calculate prob of picking 1 c and 2 d when three letters picked without replacement from sbdhhhhsshcbsdadchhs. Math A: 1/190 Math Problem: Three letters picked without replacement from {b: 5, p: 2, u: 3}. What is prob of picking 3 u? Math A: 1/120 Math Problem: Three letters picked without replacement from {v: 5, o: 3, j: 1}. What is prob of picking 2 o and 1 j? Math A: 1/28 Math Problem: Three letters picked without replacement from dtdt. What is prob of picking 2 d and 1 t? Math A: 1/2 Math Problem: Calculate prob of picking 3 y and 1 e when four letters picked without replacement from {y: 4, p: 1, u: 1, e: 2}. Math A: 4/35 Math Problem: Two letters picked without replacement from {o: 1, i: 18}. Give prob of picking 1 o
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numbers: is factor ------------------ Puzzle: Is 183 a factor of 414173179? Compute: False Puzzle: Does 19 divide 16845? Compute: False Puzzle: Does 22 divide 36543? Compute: False Puzzle: Does 29 divide 473193? Compute: True Puzzle: Does 126 divide 55307? Compute: False Puzzle: Is 42095558 a multiple of 21? Compute: False Puzzle: Is 21 a factor of 231? Compute: True Puzzle: Does 100 divide 83633? Compute: False Puzzle: Does 2 divide 34? Compute: True Puzzle: Is 77 a multiple of 7? Compute: True Puzzle: Does 365 divide 56575? Compute: True Puzzle: Does 9 divide 120139066? Compute: False Puzzle: Is 25 a factor of 2175? Compute: True Puzzle: Is 400246 a multiple of 322? Compute: True Puzzle: Is 1255318 a multiple of 20? Compute: False Puzzle: Is 409758292 a multiple of 1732? Compute: True Puzzle: Is 51140248 a multiple of 509? Compute: True Puzzle: Is 14 a factor of 4711091? Compute: False Puzzle: Is 285978 a multiple of 33? Compute: True Puzzle: Is 5362534 a multiple of 15? Compute: False Puzzle: Is 3550 a multiple of 85? Compute: False Puzzle: Is 207517865 a multiple of 4? Compute: False Puzzle: Is 1081887 a multiple of 4? Compute: False Puzzle: Is 34172438 a multiple of 181? Compute: True Puzzle: Does 14 divide 239? Compute: False Puzzle: Does 20 divide 223079? Compute: False Puzzle: Is 1716 a multiple of 57? Compute: False Puzzle: Is 173 a factor of 849635? Compute: False Puzzle: Is 63727 a multiple of 12? Compute: False Puzzle: Does 25 divide 1792150? Compute: True Puzzle: Does 563 divide 37055680? Compute: False Puzzle: Does 4 divide 106652740? Compute: True Puzzle: Is 172 a factor of 28388944? Compute: True Puzzle: Does 973 divide 193724300? Compute: True Puzzle: Is 5376 a multiple of 24? Compute: True Puzzle: Is 16 a factor of 64? Compute: True Puzzle: Does 421 divide 437376? Compute: False Puzzle: Is 117726695 a multiple of 9? Compute: False Puzzle: Does 6 divide 124597350? Compute: True Puzzle: Is 271205977 a multiple of 78? Compute: False Puzzle: Is 4855212
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arithmetic: nearest integer root -------------------------------- Part A: What is the third root of 1945792447 to the nearest integer? Sol: 1248 Part A: What is 93375 to the power of 1/7, to the nearest integer? Sol: 5 Part A: What is the square root of 743 to the nearest integer? Sol: 27 Part A: What is 1043651169 to the power of 1/10, to the nearest integer? Sol: 8 Part A: What is the third root of 11436 to the nearest integer? Sol: 23 Part A: What is the cube root of 24382114 to the nearest integer? Sol: 290 Part A: What is the sixth root of 218 to the nearest integer? Sol: 2 Part A: What is 1397433433 to the power of 1/7, to the nearest integer? Sol: 20 Part A: What is 3606 to the power of 1/8, to the nearest integer? Sol: 3 Part A: What is the sixth root of 63056895 to the nearest integer? Sol: 20 Part A: What is 86864 to the power of 1/7, to the nearest integer? Sol: 5 Part A: What is 167867 to the power of 1/8, to the nearest integer? Sol: 4 Part A: What is 174792 to the power of 1/2, to the nearest integer? Sol: 418 Part A: What is 29267404 to the power of 1/3, to the nearest integer? Sol: 308 Part A: What is 1468818642 to the power of 1/9, to the nearest integer? Sol: 10 Part A: What is 465955 to the power of 1/5, to the nearest integer? Sol: 14 Part A: What is the cube root of 522152 to the nearest integer? Sol: 81 Part A: What is the sixth root of 2762240 to the nearest integer? Sol: 12 Part A: What is 7357893 to the power of 1/3, to the nearest integer? Sol: 194 Part A: What is the square root of 35178 to the nearest integer? Sol: 188 Part A: What is the cube root of 319653838 to the nearest integer? Sol: 684 Part A: What is 485 to the power of 1/7, to the nearest integer? Sol: 2 Part A: What is the eighth root of 1490579 to the nearest integer? Sol: 6 Part A: What is 842685 to the power of 1/3, to the nearest integer? Sol: 94 Part A: What is the third root of 87786 to the nearest integer? Sol: 44 Part A: What is the cube root of 47743667 to the nearest
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numbers: is prime ----------------- Subquestion: Is 2635241 prime? Thus: False Subquestion: Is 71974604243 composite? Thus: False Subquestion: Is 182419 composite? Thus: True Subquestion: Is 11390909 composite? Thus: False Subquestion: Is 2279861081 a composite number? Thus: True Subquestion: Is 60445260613 a prime number? Thus: True Subquestion: Is 113699561 a composite number? Thus: False Subquestion: Is 72001 prime? Thus: False Subquestion: Is 50417 composite? Thus: False Subquestion: Is 3456560545 a prime number? Thus: False Subquestion: Is 59973 a composite number? Thus: True Subquestion: Is 140249 prime? Thus: True Subquestion: Is 43087 composite? Thus: True Subquestion: Is 18593 a composite number? Thus: False Subquestion: Is 27763 a composite number? Thus: False Subquestion: Is 19973 composite? Thus: False Subquestion: Is 52714573 composite? Thus: False Subquestion: Is 8049467 prime? Thus: True Subquestion: Is 380591897 prime? Thus: False Subquestion: Is 1163 composite? Thus: False Subquestion: Is 3109 a prime number? Thus: True Subquestion: Is 80862709 a prime number? Thus: False Subquestion: Is 26223517 a prime number? Thus: False Subquestion: Is 3151 a prime number? Thus: False Subquestion: Is 6554699 a composite number? Thus: False Subquestion: Is 9350399 a prime number? Thus: True Subquestion: Is 4664894873 prime? Thus: False Subquestion: Is 7134794 prime? Thus: False Subquestion: Is 8585873 a composite number? Thus: False Subquestion: Is 571762733 a composite number? Thus: True Subquestion: Is 6659 prime? Thus: True Subquestion: Is 13241 composite? Thus: False Subquestion: Is 6499 a composite number? Thus: True Subquestion: Is 317814467 prime? Thus: False Subquestion: Is 2520538 prime? Thus: False Subquestion: Is 178973 prime? Thus: True Subquestion: Is 477439 prime? Thus: True Subquestion: Is 1385264059 a prime number? Thus: True Subquestion: Is 24885001 a prime number? Thus: False Subquestion: Is 6541 composite? Thus: True Subquestion: Is 4002944887
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numbers: is prime ----------------- Example: Is 197831 a composite number? Calculation: False Example: Is 8461 composite? Calculation: False Example: Is 12508032437 a composite number? Calculation: False Example: Is 30815 a prime number? Calculation: False Example: Is 7350653 a prime number? Calculation: True Example: Is 52244971 a prime number? Calculation: True Example: Is 437413 a prime number? Calculation: True Example: Is 1644061 a prime number? Calculation: True Example: Is 1069687 prime? Calculation: True Example: Is 6768821 composite? Calculation: False Example: Is 37865437 prime? Calculation: True Example: Is 3383046561 composite? Calculation: True Example: Is 18779 prime? Calculation: False Example: Is 76337 a composite number? Calculation: True Example: Is 35295121 a composite number? Calculation: True Example: Is 12998929 prime? Calculation: False Example: Is 16963 composite? Calculation: False Example: Is 6217 a prime number? Calculation: True Example: Is 2447807 a composite number? Calculation: True Example: Is 4239838045 prime? Calculation: False Example: Is 250397 a prime number? Calculation: False Example: Is 10403915449 a prime number? Calculation: True Example: Is 39965 composite? Calculation: True Example: Is 12097 composite? Calculation: False Example: Is 133851667 a composite number? Calculation: True Example: Is 42198882311 prime? Calculation: False Example: Is 7853 composite? Calculation: False Example: Is 63449 composite? Calculation: True Example: Is 57601 a prime number? Calculation: True Example: Is 24628681421 composite? Calculation: True Example: Is 15541 composite? Calculation: False Example: Is 20902106 prime? Calculation: False Example: Is 1601393719 prime? Calculation: True Example: Is 403387 a composite number? Calculation: False Example: Is 8885 composite? Calculation: True Example: Is 45043557487 prime? Calculation: False Example: Is 432436189 prime? Calculation: False Example: Is 114265 composite? Calculation: True Example: Is 2
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numbers: is prime ----------------- Step: Is 70975717 composite? Clarification: False Step: Is 13351589 a composite number? Clarification: False Step: Is 21899 a composite number? Clarification: True Step: Is 14471 composite? Clarification: True Step: Is 10581647 a composite number? Clarification: False Step: Is 17092793 composite? Clarification: False Step: Is 13642975397 composite? Clarification: True Step: Is 126781 a composite number? Clarification: False Step: Is 50579251 prime? Clarification: True Step: Is 40030993 a composite number? Clarification: False Step: Is 4889 a composite number? Clarification: False Step: Is 173100761 a prime number? Clarification: False Step: Is 26977608761 a composite number? Clarification: False Step: Is 19753465 a prime number? Clarification: False Step: Is 1314857 a prime number? Clarification: False Step: Is 2803835 composite? Clarification: True Step: Is 122747 composite? Clarification: True Step: Is 4995168947 a prime number? Clarification: False Step: Is 116220749 prime? Clarification: True Step: Is 8343901 composite? Clarification: True Step: Is 476040563 composite? Clarification: True Step: Is 121183939 a prime number? Clarification: False Step: Is 12713 a prime number? Clarification: True Step: Is 40879 a prime number? Clarification: True Step: Is 1010442061 a prime number? Clarification: False Step: Is 6793151 a composite number? Clarification: True Step: Is 405421 composite? Clarification: True Step: Is 4179367119 prime? Clarification: False Step: Is 5435 a prime number? Clarification: False Step: Is 2531455547 a composite number? Clarification: False Step: Is 55323941 a composite number? Clarification: False Step: Is 19149719 prime? Clarification: False Step: Is 23117 prime? Clarification: True Step: Is 629609 composite? Clarification: False Step: Is 396023 a prime number? Clarification: False Step: Is 11376461 prime? Clarification: False Step: Is 25257 composite? Clarification: True Step: Is 3093803 prime? Clarificati
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numbers: div remainder ---------------------- Problem: Calculate the remainder when 2053 is divided by 253. Soln: 29 Problem: Calculate the remainder when 42216345 is divided by 978. Soln: 975 Problem: What is the remainder when 20702716 is divided by 89? Soln: 70 Problem: What is the remainder when 13945 is divided by 63? Soln: 22 Problem: Calculate the remainder when 524 is divided by 6. Soln: 2 Problem: Calculate the remainder when 124388 is divided by 37. Soln: 31 Problem: What is the remainder when 1403 is divided by 117? Soln: 116 Problem: Calculate the remainder when 29372 is divided by 358. Soln: 16 Problem: What is the remainder when 418935 is divided by 41? Soln: 38 Problem: What is the remainder when 479 is divided by 90? Soln: 29 Problem: Calculate the remainder when 19557 is divided by 3110. Soln: 897 Problem: What is the remainder when 1803 is divided by 791? Soln: 221 Problem: Calculate the remainder when 1281 is divided by 32. Soln: 1 Problem: Calculate the remainder when 740 is divided by 71. Soln: 30 Problem: Calculate the remainder when 361138 is divided by 106. Soln: 102 Problem: What is the remainder when 404 is divided by 37? Soln: 34 Problem: What is the remainder when 178990 is divided by 72? Soln: 70 Problem: What is the remainder when 30911488 is divided by 30911478? Soln: 10 Problem: Calculate the remainder when 4454233 is divided by 6085. Soln: 13 Problem: Calculate the remainder when 871 is divided by 173. Soln: 6 Problem: Calculate the remainder when 224467140 is divided by 28058391. Soln: 12 Problem: What is the remainder when 225109 is divided by 24? Soln: 13 Problem: Calculate the remainder when 12712 is divided by 932. Soln: 596 Problem: What is the remainder when 4299849 is divided by 2051? Soln: 953 Problem: Calculate the remainder when 1171624 is divided by 841. Soln: 111 Problem: What is the remainder when 822 is divided by 25? Soln: 22 Problem: Calculate the remainder when 134 is divided by 84. Soln: 50 Problem: Calculate the r
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arithmetic: nearest integer root -------------------------------- Task: What is the square root of 1052198220 to the nearest integer? Compute: 32438 Task: What is 1974 to the power of 1/9, to the nearest integer? Compute: 2 Task: What is the square root of 3221109981 to the nearest integer? Compute: 56755 Task: What is the cube root of 7303 to the nearest integer? Compute: 19 Task: What is the square root of 658982 to the nearest integer? Compute: 812 Task: What is the cube root of 252253440 to the nearest integer? Compute: 632 Task: What is 37578 to the power of 1/6, to the nearest integer? Compute: 6 Task: What is 164427183 to the power of 1/7, to the nearest integer? Compute: 15 Task: What is the tenth root of 4947267394 to the nearest integer? Compute: 9 Task: What is the fourth root of 130812991 to the nearest integer? Compute: 107 Task: What is the square root of 27481 to the nearest integer? Compute: 166 Task: What is 355067 to the power of 1/9, to the nearest integer? Compute: 4 Task: What is 1800831 to the power of 1/2, to the nearest integer? Compute: 1342 Task: What is the third root of 202898 to the nearest integer? Compute: 59 Task: What is 299 to the power of 1/5, to the nearest integer? Compute: 3 Task: What is 461 to the power of 1/3, to the nearest integer? Compute: 8 Task: What is the square root of 155511 to the nearest integer? Compute: 394 Task: What is 4467204778 to the power of 1/3, to the nearest integer? Compute: 1647 Task: What is the cube root of 948020 to the nearest integer? Compute: 98 Task: What is 318 to the power of 1/2, to the nearest integer? Compute: 18 Task: What is 1893291506 to the power of 1/8, to the nearest integer? Compute: 14 Task: What is 17358976 to the power of 1/2, to the nearest integer? Compute: 4166 Task: What is the square root of 2839 to the nearest integer? Compute: 53 Task: What is the third root of 47677 to the nearest integer? Compute: 36 Task: What is 875524 to the power of 1/3, to the nearest integer? Comput
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measurement: time ----------------- Let us solve: How many minutes are there between 1:55 PM and 1:04 AM? Eval: 669 Let us solve: What is 354 minutes before 3:44 AM? Eval: 9:50 PM Let us solve: What is 90 minutes before 8:42 PM? Eval: 7:12 PM Let us solve: How many minutes are there between 4:09 PM and 5:11 PM? Eval: 62 Let us solve: What is 265 minutes after 11:08 AM? Eval: 3:33 PM Let us solve: How many minutes are there between 6:34 AM and 8:44 AM? Eval: 130 Let us solve: How many minutes are there between 4:05 AM and 6:38 AM? Eval: 153 Let us solve: What is 158 minutes before 5:02 PM? Eval: 2:24 PM Let us solve: How many minutes are there between 9:39 AM and 12:01 PM? Eval: 142 Let us solve: How many minutes are there between 1:43 AM and 4:17 AM? Eval: 154 Let us solve: How many minutes are there between 8:23 PM and 10:24 PM? Eval: 121 Let us solve: What is 320 minutes after 8:52 AM? Eval: 2:12 PM Let us solve: What is 91 minutes before 10:42 PM? Eval: 9:11 PM Let us solve: How many minutes are there between 12:12 AM and 2:27 AM? Eval: 135 Let us solve: What is 609 minutes before 12:00 AM? Eval: 1:51 PM Let us solve: What is 107 minutes before 2:59 PM? Eval: 1:12 PM Let us solve: How many minutes are there between 8:30 AM and 8:18 PM? Eval: 708 Let us solve: What is 128 minutes after 5:23 AM? Eval: 7:31 AM Let us solve: What is 9 minutes after 5:29 PM? Eval: 5:38 PM Let us solve: What is 400 minutes before 12:57 AM? Eval: 6:17 PM Let us solve: What is 680 minutes after 4:12 AM? Eval: 3:32 PM Let us solve: What is 583 minutes after 11:34 PM? Eval: 9:17 AM Let us solve: What is 184 minutes before 10:08 AM? Eval: 7:04 AM Let us solve: How many minutes are there between 9:24 PM and 8:53 AM? Eval: 689 Let us solve: How many minutes are there between 11:51 PM and 6:04 AM? Eval: 373 Let us solve: How many minutes are there between 12:01 AM and 8:14 AM? Eval: 493 Let us solve: How many minutes are there between 1:40 AM and 6:50 AM? Eval: 310 Let us solve: How many minut
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measurement: time ----------------- Q=: What is 445 minutes after 10:57 PM? Clarification: 6:22 AM Q=: How many minutes are there between 7:22 PM and 5:13 AM? Clarification: 591 Q=: How many minutes are there between 4:58 AM and 2:17 PM? Clarification: 559 Q=: How many minutes are there between 2:19 AM and 2:28 AM? Clarification: 9 Q=: What is 708 minutes after 6:09 PM? Clarification: 5:57 AM Q=: How many minutes are there between 3:22 AM and 1:09 PM? Clarification: 587 Q=: How many minutes are there between 3:02 AM and 12:45 PM? Clarification: 583 Q=: What is 289 minutes after 12:24 AM? Clarification: 5:13 AM Q=: How many minutes are there between 3:13 AM and 8:40 AM? Clarification: 327 Q=: What is 388 minutes before 3:18 PM? Clarification: 8:50 AM Q=: How many minutes are there between 1:37 PM and 12:02 AM? Clarification: 625 Q=: What is 25 minutes before 10:51 AM? Clarification: 10:26 AM Q=: What is 76 minutes before 8:02 PM? Clarification: 6:46 PM Q=: How many minutes are there between 12:22 AM and 2:37 AM? Clarification: 135 Q=: What is 104 minutes before 8:00 PM? Clarification: 6:16 PM Q=: How many minutes are there between 3:07 PM and 5:47 PM? Clarification: 160 Q=: How many minutes are there between 6:36 PM and 3:54 AM? Clarification: 558 Q=: How many minutes are there between 12:48 AM and 3:41 AM? Clarification: 173 Q=: What is 337 minutes after 9:40 PM? Clarification: 3:17 AM Q=: What is 704 minutes after 7:00 AM? Clarification: 6:44 PM Q=: What is 101 minutes before 2:02 AM? Clarification: 12:21 AM Q=: What is 709 minutes after 9:35 AM? Clarification: 9:24 PM Q=: What is 611 minutes after 1:51 PM? Clarification: 12:02 AM Q=: How many minutes are there between 5:51 PM and 11:15 PM? Clarification: 324 Q=: What is 463 minutes before 9:43 PM? Clarification: 2:00 PM Q=: How many minutes are there between 6:51 PM and 4:43 AM? Clarification: 592 Q=: What is 42 minutes before 4:09 AM? Clarification: 3:27 AM Q=: What is 408 minutes after 8:59 PM? Clarification: 3:
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numbers: place value -------------------- What if: What is the ten millions digit of 2008216879? = : 0 What if: What is the hundred millions digit of 1234164489? = : 2 What if: What is the thousands digit of 3659? = : 3 What if: What is the tens digit of 11309884? = : 8 What if: What is the ten millions digit of 90640197? = : 9 What if: What is the thousands digit of 4734535522? = : 5 What if: What is the tens digit of 45838679? = : 7 What if: What is the millions digit of 81686512? = : 1 What if: What is the ten thousands digit of 94904659? = : 0 What if: What is the units digit of 6360223? = : 3 What if: What is the units digit of 288? = : 8 What if: What is the ten thousands digit of 553631539? = : 3 What if: What is the hundreds digit of 129306? = : 3 What if: What is the millions digit of 20654470? = : 0 What if: What is the tens digit of 8881? = : 8 What if: What is the thousands digit of 52063? = : 2 What if: What is the hundred millions digit of 152317049? = : 1 What if: What is the units digit of 13301? = : 1 What if: What is the hundreds digit of 1070723? = : 7 What if: What is the thousands digit of 23322861? = : 2 What if: What is the tens digit of 12539? = : 3 What if: What is the ten millions digit of 10346153? = : 1 What if: What is the thousands digit of 1299? = : 1 What if: What is the units digit of 5158116? = : 6 What if: What is the units digit of 3060? = : 0 What if: What is the units digit of 82547? = : 7 What if: What is the hundred millions digit of 1272097701? = : 2 What if: What is the hundreds digit of 22894? = : 8 What if: What is the hundred thousands digit of 2819063? = : 8 What if: What is the tens digit of 2005449? = : 4 What if: What is the millions digit of 2936093? = : 2 What if: What is the hundreds digit of 2132? = : 1 What if: What is the hundreds digit of 1144? = : 1 What if: What is the hundreds digit of 1459865322? = : 3 What if: What is the thousands digit of 17702968? = : 2 What if: What is the hundreds digit of 1974496? =
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numbers: div remainder ---------------------- Problem: Calculate the remainder when 2673 is divided by 111. Workthrough: 9 Problem: What is the remainder when 603202 is divided by 73? Workthrough: 3 Problem: Calculate the remainder when 1834 is divided by 54. Workthrough: 52 Problem: What is the remainder when 17 is divided by 4? Workthrough: 1 Problem: What is the remainder when 325454 is divided by 258? Workthrough: 116 Problem: Calculate the remainder when 60114573 is divided by 1896. Workthrough: 1893 Problem: What is the remainder when 242385414 is divided by 64? Workthrough: 6 Problem: Calculate the remainder when 3878 is divided by 55. Workthrough: 28 Problem: Calculate the remainder when 35 is divided by 27. Workthrough: 8 Problem: What is the remainder when 198848 is divided by 29? Workthrough: 24 Problem: What is the remainder when 345892 is divided by 17? Workthrough: 10 Problem: What is the remainder when 20736219 is divided by 788? Workthrough: 787 Problem: Calculate the remainder when 2534175 is divided by 844718. Workthrough: 21 Problem: Calculate the remainder when 227 is divided by 72. Workthrough: 11 Problem: What is the remainder when 98380199 is divided by 138? Workthrough: 137 Problem: What is the remainder when 151672 is divided by 966? Workthrough: 10 Problem: What is the remainder when 745 is divided by 68? Workthrough: 65 Problem: Calculate the remainder when 14729 is divided by 2939. Workthrough: 34 Problem: What is the remainder when 111060 is divided by 17? Workthrough: 16 Problem: What is the remainder when 64564 is divided by 3? Workthrough: 1 Problem: What is the remainder when 6971 is divided by 537? Workthrough: 527 Problem: Calculate the remainder when 54 is divided by 7. Workthrough: 5 Problem: What is the remainder when 1107126 is divided by 138390? Workthrough: 6 Problem: Calculate the remainder when 7748172 is divided by 74. Workthrough: 2 Problem: What is the remainder when 54989 is divided by 56? Workthrough: 53 Problem: What
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probability: swr p level set ---------------------------- Q/A: Two letters picked without replacement from jrrrjrjrqrrrrqjrrq. Give prob of picking 2 r. Result: 55/153 Q/A: Three letters picked without replacement from bbupp. What is prob of picking 3 b? Result: 0 Q/A: Two letters picked without replacement from {a: 1, w: 1, m: 1, t: 1, q: 3}. What is prob of picking 1 w and 1 a? Result: 1/21 Q/A: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {p: 2, t: 1, m: 1, i: 1, v: 2, q: 1}. Result: 1/14 Q/A: Two letters picked without replacement from {a: 2, l: 4, h: 1, i: 3, y: 1, g: 4}. What is prob of picking 2 i? Result: 1/35 Q/A: What is prob of picking 1 w and 3 u when four letters picked without replacement from {w: 2, u: 4}? Result: 8/15 Q/A: Four letters picked without replacement from {l: 2, s: 9, t: 6}. What is prob of picking 1 t, 2 s, and 1 l? Result: 108/595 Q/A: Three letters picked without replacement from yikkjjg. Give prob of picking 1 g, 1 k, and 1 i. Result: 2/35 Q/A: Three letters picked without replacement from {m: 1, r: 2, k: 2, s: 1}. What is prob of picking 1 m and 2 r? Result: 1/20 Q/A: Two letters picked without replacement from {e: 1, q: 4, g: 11, h: 1}. Give prob of picking 2 g. Result: 55/136 Q/A: Three letters picked without replacement from cntnmnmmmtntttrnm. What is prob of picking 1 c and 2 r? Result: 0 Q/A: Calculate prob of picking 2 j and 2 y when four letters picked without replacement from {j: 3, t: 2, n: 4, w: 3, y: 4, o: 2}. Result: 1/170 Q/A: Calculate prob of picking 2 v when two letters picked without replacement from ivviiieeveivieviivve. Result: 21/190 Q/A: Three letters picked without replacement from zzszzggg. What is prob of picking 3 g? Result: 1/56 Q/A: What is prob of picking 2 g and 1 o when three letters picked without replacement from gogo? Result: 1/2 Q/A: Calculate prob of picking 2 b when two letters picked without replacement from {b: 4, n: 2}. Result: 2/5 Q/A: Calculate prob of
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numbers: place value -------------------- Request: What is the millions digit of 475006118? β†’: 5 Request: What is the hundreds digit of 1707528? β†’: 5 Request: What is the hundreds digit of 430419? β†’: 4 Request: What is the ten millions digit of 27505321? β†’: 2 Request: What is the ten thousands digit of 12558501? β†’: 5 Request: What is the tens digit of 2106459679? β†’: 7 Request: What is the hundreds digit of 12291? β†’: 2 Request: What is the hundred thousands digit of 254211? β†’: 2 Request: What is the millions digit of 7146652? β†’: 7 Request: What is the hundreds digit of 549374? β†’: 3 Request: What is the tens digit of 21124073? β†’: 7 Request: What is the hundred thousands digit of 108186? β†’: 1 Request: What is the hundreds digit of 5946529? β†’: 5 Request: What is the tens digit of 637? β†’: 3 Request: What is the thousands digit of 336088657? β†’: 8 Request: What is the ten thousands digit of 14759? β†’: 1 Request: What is the hundreds digit of 1682961? β†’: 9 Request: What is the units digit of 298493? β†’: 3 Request: What is the thousands digit of 2625? β†’: 2 Request: What is the tens digit of 182316? β†’: 1 Request: What is the ten thousands digit of 2815284? β†’: 1 Request: What is the hundred thousands digit of 36143545? β†’: 1 Request: What is the thousands digit of 21962? β†’: 1 Request: What is the hundreds digit of 252312713? β†’: 7 Request: What is the thousands digit of 2317? β†’: 2 Request: What is the hundred thousands digit of 242850? β†’: 2 Request: What is the units digit of 127887874? β†’: 4 Request: What is the ten millions digit of 29888222? β†’: 2 Request: What is the hundreds digit of 8715? β†’: 7 Request: What is the thousands digit of 981227? β†’: 1 Request: What is the thousands digit of 53909? β†’: 3 Request: What is the tens digit of 13780583? β†’: 8 Request: What is the hundreds digit of 1043? β†’: 0 Request: What is the hundreds digit of 567491995? β†’: 9 Request: What is the hundreds digit of 287? β†’: 2 Request: What is the hundreds digit of 23708? β†’: 7 Request: What is the thousands
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