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probability: swr p level set ---------------------------- Given: What is prob of picking 1 a and 1 c when two letters picked without replacement from cgccccqccaccccqcc? Sol: 13/136 Given: What is prob of picking 2 p, 1 k, and 1 y when four letters picked without replacement from pkkkkkkppkpky? Sol: 48/715 Given: Three letters picked without replacement from ppupmmmmpppmpppmu. What is prob of picking 3 p? Sol: 21/170 Given: Two letters picked without replacement from {n: 4, m: 3}. What is prob of picking 1 m and 1 n? Sol: 4/7 Given: Three letters picked without replacement from btttttbtbtbtbtttttt. Give prob of picking 1 t and 2 b. Sol: 140/969 Given: Calculate prob of picking 2 g when two letters picked without replacement from {c: 4, e: 10, g: 2}. Sol: 1/120 Given: Two letters picked without replacement from {w: 2, c: 2, m: 2, h: 1, e: 1, a: 1}. Give prob of picking 1 c and 1 m. Sol: 1/9 Given: Calculate prob of picking 1 y and 2 f when three letters picked without replacement from {s: 3, n: 9, f: 2, y: 2, m: 1}. Sol: 1/340 Given: Four letters picked without replacement from {n: 2, w: 3}. What is prob of picking 1 n and 3 w? Sol: 2/5 Given: What is prob of picking 2 j and 1 y when three letters picked without replacement from {y: 2, j: 3, b: 5}? Sol: 1/20 Given: Four letters picked without replacement from {v: 4, l: 2, x: 1, p: 2, c: 1}. Give prob of picking 2 v and 2 l. Sol: 1/35 Given: Calculate prob of picking 2 g and 1 q when three letters picked without replacement from gwgwqgggwwqwg. Sol: 15/143 Given: What is prob of picking 1 h and 2 t when three letters picked without replacement from ttrsxht? Sol: 3/35 Given: What is prob of picking 2 f and 2 t when four letters picked without replacement from ttfojtftptpjpp? Sol: 10/1001 Given: What is prob of picking 1 m and 1 z when two letters picked without replacement from {z: 1, m: 1, n: 2, i: 3}? Sol: 1/21 Given: Three letters picked without replacement from {n: 10}. What is prob of picking 3 n? Sol: 1 Given: Four
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measurement: time ----------------- Problem: What is 255 minutes before 4:54 AM? Gives: 12:39 AM Problem: How many minutes are there between 1:07 PM and 7:52 PM? Gives: 405 Problem: What is 104 minutes after 11:31 AM? Gives: 1:15 PM Problem: What is 625 minutes after 5:14 PM? Gives: 3:39 AM Problem: What is 244 minutes before 12:49 PM? Gives: 8:45 AM Problem: What is 244 minutes after 6:52 PM? Gives: 10:56 PM Problem: What is 360 minutes after 12:12 PM? Gives: 6:12 PM Problem: How many minutes are there between 7:45 AM and 9:23 AM? Gives: 98 Problem: How many minutes are there between 8:52 AM and 4:29 PM? Gives: 457 Problem: What is 102 minutes before 5:07 AM? Gives: 3:25 AM Problem: How many minutes are there between 2:47 PM and 10:35 PM? Gives: 468 Problem: What is 50 minutes before 1:39 AM? Gives: 12:49 AM Problem: What is 624 minutes before 12:49 AM? Gives: 2:25 PM Problem: What is 322 minutes after 5:10 PM? Gives: 10:32 PM Problem: What is 295 minutes after 6:22 PM? Gives: 11:17 PM Problem: How many minutes are there between 4:01 AM and 9:54 AM? Gives: 353 Problem: How many minutes are there between 10:54 PM and 11:36 PM? Gives: 42 Problem: What is 373 minutes after 4:13 AM? Gives: 10:26 AM Problem: What is 424 minutes before 6:52 PM? Gives: 11:48 AM Problem: What is 448 minutes before 3:04 AM? Gives: 7:36 PM Problem: What is 295 minutes before 10:15 AM? Gives: 5:20 AM Problem: How many minutes are there between 12:18 PM and 8:11 PM? Gives: 473 Problem: What is 194 minutes after 10:47 AM? Gives: 2:01 PM Problem: What is 211 minutes before 12:42 AM? Gives: 9:11 PM Problem: What is 289 minutes before 8:06 AM? Gives: 3:17 AM Problem: How many minutes are there between 8:57 AM and 6:48 PM? Gives: 591 Problem: What is 4 minutes before 8:24 AM? Gives: 8:20 AM Problem: What is 240 minutes before 4:37 AM? Gives: 12:37 AM Problem: What is 630 minutes after 8:58 PM? Gives: 7:28 AM Problem: What is 707 minutes before 6:29 AM? Gives: 6:42 PM Problem: How many minutes are t
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numbers: gcd ------------ Q=: Calculate the greatest common divisor of 183 and 4941. Yields: 183 Q=: What is the greatest common divisor of 48791 and 1746? Yields: 97 Q=: Calculate the highest common factor of 33 and 372. Yields: 3 Q=: Calculate the greatest common factor of 60 and 732. Yields: 12 Q=: Calculate the greatest common divisor of 82492 and 91546. Yields: 1006 Q=: Calculate the highest common divisor of 2201328 and 2736. Yields: 144 Q=: Calculate the highest common divisor of 1448994 and 18618. Yields: 642 Q=: Calculate the greatest common factor of 24498 and 390966. Yields: 6 Q=: What is the highest common factor of 120 and 390? Yields: 30 Q=: Calculate the greatest common factor of 24 and 42. Yields: 6 Q=: Calculate the highest common divisor of 2279 and 54601607. Yields: 53 Q=: What is the greatest common factor of 458602 and 513386? Yields: 214 Q=: Calculate the greatest common factor of 5784637 and 2. Yields: 1 Q=: What is the greatest common factor of 4459 and 169? Yields: 13 Q=: Calculate the highest common factor of 40 and 328. Yields: 8 Q=: Calculate the greatest common factor of 960124859 and 596. Yields: 149 Q=: What is the greatest common divisor of 11507 and 3529311970? Yields: 11507 Q=: Calculate the greatest common factor of 8 and 2854. Yields: 2 Q=: Calculate the greatest common factor of 1156805 and 481. Yields: 481 Q=: What is the greatest common factor of 3515 and 10? Yields: 5 Q=: What is the highest common divisor of 2126289744 and 4272? Yields: 4272 Q=: Calculate the highest common factor of 11 and 3421. Yields: 11 Q=: Calculate the greatest common factor of 365972035 and 5577. Yields: 1859 Q=: What is the greatest common divisor of 1602 and 666788? Yields: 178 Q=: What is the greatest common divisor of 354002 and 946? Yields: 22 Q=: What is the highest common divisor of 374 and 136? Yields: 34 Q=: Calculate the greatest common factor of 553 and 35. Yields: 7 Q=: What is the highest common factor of 341 and 22? Yields: 11 Q=: Calcula
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probability: swr p level set ---------------------------- Task: Three letters picked without replacement from qqggngaaanag. What is prob of picking 1 n and 2 q? Math A: 1/110 Task: Three letters picked without replacement from sooooossos. Give prob of picking 1 o and 2 s. Math A: 3/10 Task: Two letters picked without replacement from {d: 11, o: 7, t: 1}. Give prob of picking 1 o and 1 d. Math A: 77/171 Task: Two letters picked without replacement from {y: 1, q: 4, t: 1, d: 5, g: 3}. What is prob of picking 1 y and 1 d? Math A: 5/91 Task: Two letters picked without replacement from {z: 2, c: 1, k: 1, v: 1}. Give prob of picking 1 k and 1 v. Math A: 1/10 Task: Calculate prob of picking 3 d when three letters picked without replacement from nuudddnuuudu. Math A: 1/55 Task: Two letters picked without replacement from nfunnufjkgfkjn. Give prob of picking 2 n. Math A: 6/91 Task: Calculate prob of picking 4 c when four letters picked without replacement from mcccccccccmm. Math A: 14/55 Task: Two letters picked without replacement from yyggyycgqyyyyqyqcg. What is prob of picking 2 c? Math A: 1/153 Task: Calculate prob of picking 2 b and 2 l when four letters picked without replacement from {b: 2, l: 18}. Math A: 3/95 Task: Two letters picked without replacement from {s: 14, q: 4}. What is prob of picking 1 s and 1 q? Math A: 56/153 Task: What is prob of picking 3 o when three letters picked without replacement from oozoz? Math A: 1/10 Task: Calculate prob of picking 2 z when two letters picked without replacement from qzdqqqqqpqllzspqqqsl. Math A: 1/190 Task: Three letters picked without replacement from vsddzsssdzsdzszsds. Give prob of picking 1 z and 2 s. Math A: 7/51 Task: Two letters picked without replacement from {s: 1, i: 4, w: 1, q: 4, u: 1}. Give prob of picking 1 i and 1 s. Math A: 4/55 Task: Two letters picked without replacement from pppsvpppvplvvlpplvs. Give prob of picking 1 p and 1 s. Math A: 2/19 Task: Four letters picked without replacement from {r: 10}. Wh
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measurement: time ----------------- Inquiry: How many minutes are there between 1:27 AM and 8:51 AM? Soln: 444 Inquiry: How many minutes are there between 5:33 PM and 11:10 PM? Soln: 337 Inquiry: What is 318 minutes before 9:11 AM? Soln: 3:53 AM Inquiry: How many minutes are there between 9:39 AM and 1:39 PM? Soln: 240 Inquiry: What is 388 minutes before 6:37 AM? Soln: 12:09 AM Inquiry: What is 508 minutes after 6:40 PM? Soln: 3:08 AM Inquiry: How many minutes are there between 6:55 AM and 3:11 PM? Soln: 496 Inquiry: How many minutes are there between 9:24 PM and 5:10 AM? Soln: 466 Inquiry: How many minutes are there between 2:05 AM and 1:38 PM? Soln: 693 Inquiry: How many minutes are there between 6:17 AM and 1:41 PM? Soln: 444 Inquiry: What is 703 minutes after 11:40 PM? Soln: 11:23 AM Inquiry: How many minutes are there between 3:30 AM and 1:16 PM? Soln: 586 Inquiry: What is 628 minutes after 3:13 AM? Soln: 1:41 PM Inquiry: What is 592 minutes after 4:13 AM? Soln: 2:05 PM Inquiry: What is 504 minutes after 7:09 PM? Soln: 3:33 AM Inquiry: What is 160 minutes before 10:30 AM? Soln: 7:50 AM Inquiry: What is 585 minutes before 12:01 PM? Soln: 2:16 AM Inquiry: What is 310 minutes after 1:43 PM? Soln: 6:53 PM Inquiry: What is 491 minutes after 10:04 AM? Soln: 6:15 PM Inquiry: How many minutes are there between 9:50 PM and 6:53 AM? Soln: 543 Inquiry: How many minutes are there between 7:26 PM and 8:35 PM? Soln: 69 Inquiry: How many minutes are there between 11:41 PM and 10:11 AM? Soln: 630 Inquiry: How many minutes are there between 9:30 PM and 11:45 PM? Soln: 135 Inquiry: What is 524 minutes before 12:05 AM? Soln: 3:21 PM Inquiry: How many minutes are there between 3:29 AM and 2:54 PM? Soln: 685 Inquiry: How many minutes are there between 9:19 AM and 5:32 PM? Soln: 493 Inquiry: How many minutes are there between 6:54 AM and 7:44 AM? Soln: 50 Inquiry: How many minutes are there between 12:12 PM and 11:04 PM? Soln: 652 Inquiry: How many minutes are there between 9:47 PM
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measurement: time ----------------- Problem #: How many minutes are there between 10:04 PM and 12:55 AM? Sol: 171 Problem #: How many minutes are there between 11:12 PM and 8:25 AM? Sol: 553 Problem #: What is 502 minutes after 8:59 AM? Sol: 5:21 PM Problem #: What is 144 minutes after 2:37 AM? Sol: 5:01 AM Problem #: How many minutes are there between 7:22 PM and 2:01 AM? Sol: 399 Problem #: What is 624 minutes after 4:00 PM? Sol: 2:24 AM Problem #: What is 388 minutes after 2:41 PM? Sol: 9:09 PM Problem #: What is 298 minutes after 2:40 AM? Sol: 7:38 AM Problem #: How many minutes are there between 6:44 PM and 10:21 PM? Sol: 217 Problem #: What is 404 minutes before 8:39 PM? Sol: 1:55 PM Problem #: How many minutes are there between 7:01 AM and 9:36 AM? Sol: 155 Problem #: How many minutes are there between 9:31 AM and 10:09 AM? Sol: 38 Problem #: How many minutes are there between 8:20 PM and 10:37 PM? Sol: 137 Problem #: What is 141 minutes after 12:52 AM? Sol: 3:13 AM Problem #: How many minutes are there between 5:18 AM and 5:06 PM? Sol: 708 Problem #: How many minutes are there between 6:29 PM and 1:27 AM? Sol: 418 Problem #: How many minutes are there between 6:27 AM and 8:48 AM? Sol: 141 Problem #: What is 414 minutes after 1:03 AM? Sol: 7:57 AM Problem #: How many minutes are there between 5:08 PM and 7:25 PM? Sol: 137 Problem #: How many minutes are there between 1:09 PM and 10:01 PM? Sol: 532 Problem #: What is 432 minutes after 2:33 PM? Sol: 9:45 PM Problem #: How many minutes are there between 12:41 PM and 10:51 PM? Sol: 610 Problem #: What is 40 minutes after 9:51 AM? Sol: 10:31 AM Problem #: How many minutes are there between 6:19 AM and 3:47 PM? Sol: 568 Problem #: What is 391 minutes after 9:34 AM? Sol: 4:05 PM Problem #: How many minutes are there between 9:13 AM and 6:58 PM? Sol: 585 Problem #: How many minutes are there between 7:20 PM and 10:44 PM? Sol: 204 Problem #: How many minutes are there between 9:15 PM and 5:26 AM? Sol: 491 Problem #: H
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numbers: is prime ----------------- Prompt: Is 1130065991 a composite number? Therefore: True Prompt: Is 128710537 a composite number? Therefore: False Prompt: Is 10007 a prime number? Therefore: True Prompt: Is 4681189841 prime? Therefore: True Prompt: Is 43110593 a composite number? Therefore: False Prompt: Is 277114253 prime? Therefore: False Prompt: Is 512874991 a prime number? Therefore: True Prompt: Is 947239 a prime number? Therefore: True Prompt: Is 2711426 a composite number? Therefore: True Prompt: Is 915659 prime? Therefore: True Prompt: Is 1409430047 prime? Therefore: True Prompt: Is 2437 a prime number? Therefore: True Prompt: Is 11972730383 a prime number? Therefore: False Prompt: Is 2572514831 a composite number? Therefore: False Prompt: Is 10711 composite? Therefore: False Prompt: Is 4140148763 composite? Therefore: False Prompt: Is 14353955303 composite? Therefore: True Prompt: Is 103277686271 a composite number? Therefore: False Prompt: Is 1244488753 a composite number? Therefore: True Prompt: Is 20507 a composite number? Therefore: False Prompt: Is 58757 prime? Therefore: True Prompt: Is 551455 a composite number? Therefore: True Prompt: Is 11308408913 a composite number? Therefore: True Prompt: Is 1786397 prime? Therefore: False Prompt: Is 489 a prime number? Therefore: False Prompt: Is 3049643 composite? Therefore: False Prompt: Is 1312424423 a prime number? Therefore: True Prompt: Is 90236268541 composite? Therefore: False Prompt: Is 106387 a composite number? Therefore: True Prompt: Is 50412581 composite? Therefore: False Prompt: Is 403924867 prime? Therefore: False Prompt: Is 88485791 composite? Therefore: False Prompt: Is 9143 a composite number? Therefore: True Prompt: Is 78673733 composite? Therefore: False Prompt: Is 2572171 a prime number? Therefore: False Prompt: Is 17920291 a composite number? Therefore: False Prompt: Is 1310354249 a composite number? Therefore: False Prompt: Is 1087 composite? Therefore: False Prompt: Is 991541 compos
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numbers: is prime ----------------- Scenario: Is 2498 prime? Interpretation: False Scenario: Is 221 a composite number? Interpretation: True Scenario: Is 24065077 a prime number? Interpretation: False Scenario: Is 36794 composite? Interpretation: True Scenario: Is 5042707 a composite number? Interpretation: False Scenario: Is 122557 prime? Interpretation: True Scenario: Is 28641593 prime? Interpretation: True Scenario: Is 3803131 composite? Interpretation: False Scenario: Is 626477 a composite number? Interpretation: False Scenario: Is 7919 composite? Interpretation: False Scenario: Is 16621 a composite number? Interpretation: True Scenario: Is 2225404211 a composite number? Interpretation: False Scenario: Is 68536465813 composite? Interpretation: False Scenario: Is 437431033 a composite number? Interpretation: True Scenario: Is 151091 prime? Interpretation: True Scenario: Is 40317265 composite? Interpretation: True Scenario: Is 6029169161 prime? Interpretation: True Scenario: Is 31987717 a prime number? Interpretation: False Scenario: Is 10117 a prime number? Interpretation: False Scenario: Is 5730947 prime? Interpretation: False Scenario: Is 82157 a prime number? Interpretation: False Scenario: Is 128000491 prime? Interpretation: True Scenario: Is 69456253 a composite number? Interpretation: False Scenario: Is 954173 composite? Interpretation: True Scenario: Is 134713832249 a prime number? Interpretation: False Scenario: Is 17707 composite? Interpretation: False Scenario: Is 19395421223 prime? Interpretation: True Scenario: Is 20628867449 a prime number? Interpretation: True Scenario: Is 5059 prime? Interpretation: True Scenario: Is 57991 a prime number? Interpretation: True Scenario: Is 13982 a composite number? Interpretation: True Scenario: Is 1435271 a composite number? Interpretation: False Scenario: Is 605365073 prime? Interpretation: False Scenario: Is 408166559 composite? Interpretation: True Scenario: Is 44616080737 composite? Interpretation: False Scenar
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numbers: is prime ----------------- Part A: Is 1674107 composite? Soln: False Part A: Is 5083376861 a prime number? Soln: True Part A: Is 74589635 a prime number? Soln: False Part A: Is 527267887 a composite number? Soln: False Part A: Is 3407 composite? Soln: False Part A: Is 2402761 composite? Soln: False Part A: Is 1061176609 composite? Soln: False Part A: Is 4252245781 prime? Soln: False Part A: Is 6727381459 a composite number? Soln: True Part A: Is 15561615233 a composite number? Soln: True Part A: Is 9514971623 a composite number? Soln: True Part A: Is 242237 a prime number? Soln: False Part A: Is 5285891537 composite? Soln: False Part A: Is 419863 a composite number? Soln: True Part A: Is 842791 a composite number? Soln: False Part A: Is 6502 a composite number? Soln: True Part A: Is 50813790571 prime? Soln: False Part A: Is 52372289 a prime number? Soln: False Part A: Is 70572353 a composite number? Soln: True Part A: Is 11516125519 composite? Soln: False Part A: Is 31531 prime? Soln: True Part A: Is 507359414 a composite number? Soln: True Part A: Is 195524561 a prime number? Soln: True Part A: Is 21424029713 a composite number? Soln: True Part A: Is 550211479 a composite number? Soln: False Part A: Is 65606623 a prime number? Soln: True Part A: Is 1302366781 prime? Soln: False Part A: Is 3943 a composite number? Soln: False Part A: Is 111833 a prime number? Soln: True Part A: Is 33809 prime? Soln: True Part A: Is 1735471553 composite? Soln: False Part A: Is 50321 a composite number? Soln: False Part A: Is 1331269 prime? Soln: True Part A: Is 390953 a composite number? Soln: False Part A: Is 10319 a prime number? Soln: False Part A: Is 4221977 prime? Soln: True Part A: Is 6163 composite? Soln: False Part A: Is 2917001 prime? Soln: True Part A: Is 7281147071 prime? Soln: False Part A: Is 1551497 a composite number? Soln: False Part A: Is 18854700889 a prime number? Soln: True Part A: Is 69684001681 a composite number? Soln: True Part A: Is 44914675123 a pri
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numbers: place value -------------------- Q-: What is the thousands digit of 24152417? Steps: 2 Q-: What is the units digit of 651382026? Steps: 6 Q-: What is the hundreds digit of 7057? Steps: 0 Q-: What is the units digit of 1605094258? Steps: 8 Q-: What is the tens digit of 186335? Steps: 3 Q-: What is the ten thousands digit of 91988? Steps: 9 Q-: What is the ten millions digit of 16154001? Steps: 1 Q-: What is the hundred thousands digit of 207438? Steps: 2 Q-: What is the tens digit of 3094732839? Steps: 3 Q-: What is the units digit of 139074041? Steps: 1 Q-: What is the tens digit of 2257? Steps: 5 Q-: What is the units digit of 325427717? Steps: 7 Q-: What is the thousands digit of 1699? Steps: 1 Q-: What is the thousands digit of 1878? Steps: 1 Q-: What is the hundred thousands digit of 170069? Steps: 1 Q-: What is the tens digit of 139508? Steps: 0 Q-: What is the units digit of 2410? Steps: 0 Q-: What is the thousands digit of 166166322? Steps: 6 Q-: What is the units digit of 3390008? Steps: 8 Q-: What is the thousands digit of 2442? Steps: 2 Q-: What is the units digit of 98664? Steps: 4 Q-: What is the units digit of 18165? Steps: 5 Q-: What is the tens digit of 29358090? Steps: 9 Q-: What is the tens digit of 24078? Steps: 7 Q-: What is the ten thousands digit of 20388652? Steps: 8 Q-: What is the ten thousands digit of 1552647? Steps: 5 Q-: What is the millions digit of 53662055? Steps: 3 Q-: What is the millions digit of 227150785? Steps: 7 Q-: What is the ten millions digit of 1163410398? Steps: 6 Q-: What is the units digit of 20897447? Steps: 7 Q-: What is the hundreds digit of 324? Steps: 3 Q-: What is the tens digit of 42150? Steps: 5 Q-: What is the ten thousands digit of 17869? Steps: 1 Q-: What is the ten thousands digit of 505064651? Steps: 6 Q-: What is the millions digit of 531542405? Steps: 1 Q-: What is the ten thousands digit of 526919? Steps: 2 Q-: What is the hundred millions digit of 797289731? Steps: 7 Q-: What is the ten thousand
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arithmetic: nearest integer root -------------------------------- Step: What is the square root of 580190445 to the nearest integer? Sol: 24087 Step: What is the third root of 1467862182 to the nearest integer? Sol: 1136 Step: What is the tenth root of 6606502075 to the nearest integer? Sol: 10 Step: What is 3413743 to the power of 1/5, to the nearest integer? Sol: 20 Step: What is 9022 to the power of 1/2, to the nearest integer? Sol: 95 Step: What is 57293953 to the power of 1/10, to the nearest integer? Sol: 6 Step: What is the tenth root of 6002 to the nearest integer? Sol: 2 Step: What is the square root of 22382 to the nearest integer? Sol: 150 Step: What is the square root of 49294 to the nearest integer? Sol: 222 Step: What is 93118815 to the power of 1/3, to the nearest integer? Sol: 453 Step: What is 3489866 to the power of 1/3, to the nearest integer? Sol: 152 Step: What is 149581481 to the power of 1/2, to the nearest integer? Sol: 12230 Step: What is the square root of 15093 to the nearest integer? Sol: 123 Step: What is the cube root of 409894 to the nearest integer? Sol: 74 Step: What is the cube root of 13381884 to the nearest integer? Sol: 237 Step: What is the ninth root of 10710 to the nearest integer? Sol: 3 Step: What is the ninth root of 270 to the nearest integer? Sol: 2 Step: What is 1479423502 to the power of 1/2, to the nearest integer? Sol: 38463 Step: What is 85604 to the power of 1/2, to the nearest integer? Sol: 293 Step: What is the fifth root of 11948 to the nearest integer? Sol: 7 Step: What is the cube root of 633 to the nearest integer? Sol: 9 Step: What is 3916809 to the power of 1/10, to the nearest integer? Sol: 5 Step: What is 66132059 to the power of 1/4, to the nearest integer? Sol: 90 Step: What is the cube root of 2584042562 to the nearest integer? Sol: 1372 Step: What is the tenth root of 489 to the nearest integer? Sol: 2 Step: What is the square root of 4541828 to the nearest integer? Sol: 2131 Step: What is the seventh
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numbers: place value -------------------- Case: What is the tens digit of 754? Workthrough: 5 Case: What is the thousands digit of 236209? Workthrough: 6 Case: What is the tens digit of 863854? Workthrough: 5 Case: What is the hundreds digit of 7080? Workthrough: 0 Case: What is the thousands digit of 944442? Workthrough: 4 Case: What is the tens digit of 7211? Workthrough: 1 Case: What is the units digit of 122289277? Workthrough: 7 Case: What is the ten thousands digit of 2717803? Workthrough: 1 Case: What is the thousands digit of 1133? Workthrough: 1 Case: What is the thousands digit of 1287785913? Workthrough: 5 Case: What is the units digit of 89792? Workthrough: 2 Case: What is the hundred thousands digit of 9492224? Workthrough: 4 Case: What is the hundreds digit of 212764? Workthrough: 7 Case: What is the units digit of 593656743? Workthrough: 3 Case: What is the thousands digit of 9557? Workthrough: 9 Case: What is the thousands digit of 52668848? Workthrough: 8 Case: What is the billions digit of 3000271175? Workthrough: 3 Case: What is the hundred millions digit of 8316558718? Workthrough: 3 Case: What is the thousands digit of 7197730? Workthrough: 7 Case: What is the hundred millions digit of 339372865? Workthrough: 3 Case: What is the units digit of 1730? Workthrough: 0 Case: What is the units digit of 1450635? Workthrough: 5 Case: What is the ten thousands digit of 3508312? Workthrough: 0 Case: What is the hundred thousands digit of 8015824? Workthrough: 0 Case: What is the units digit of 392? Workthrough: 2 Case: What is the hundreds digit of 2856? Workthrough: 8 Case: What is the tens digit of 23248? Workthrough: 4 Case: What is the hundreds digit of 829? Workthrough: 8 Case: What is the units digit of 626654752? Workthrough: 2 Case: What is the hundred millions digit of 385824880? Workthrough: 3 Case: What is the millions digit of 51357246? Workthrough: 1 Case: What is the hundreds digit of 23280? Workthrough: 2 Case: What is the thousands digit o
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probability: swr p level set ---------------------------- Query: What is prob of picking 2 v when two letters picked without replacement from gagvaevagg? Interpretation: 1/45 Query: What is prob of picking 2 x, 1 c, and 1 m when four letters picked without replacement from xchxm? Interpretation: 1/5 Query: What is prob of picking 4 o when four letters picked without replacement from {o: 7}? Interpretation: 1 Query: Two letters picked without replacement from rkskksrysrsrs. Give prob of picking 2 s. Interpretation: 5/39 Query: Calculate prob of picking 2 g and 1 p when three letters picked without replacement from gpggggggpggpgg. Interpretation: 165/364 Query: Calculate prob of picking 1 j, 1 s, and 1 y when three letters picked without replacement from fjyymjsyyjyyiimjym. Interpretation: 7/204 Query: Two letters picked without replacement from bbobopobppb. What is prob of picking 1 p and 1 b? Interpretation: 3/11 Query: Two letters picked without replacement from ttccc. What is prob of picking 2 t? Interpretation: 1/10 Query: Four letters picked without replacement from nnghixxgxxn. What is prob of picking 2 n, 1 h, and 1 g? Interpretation: 1/55 Query: Four letters picked without replacement from nynyyyny. What is prob of picking 2 n and 2 y? Interpretation: 3/7 Query: What is prob of picking 2 y and 1 m when three letters picked without replacement from yymyd? Interpretation: 3/10 Query: Two letters picked without replacement from wwvwvw. Give prob of picking 1 v and 1 w. Interpretation: 8/15 Query: Four letters picked without replacement from {h: 7, u: 1, q: 3, g: 1, t: 1}. Give prob of picking 1 h, 2 q, and 1 g. Interpretation: 21/715 Query: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {m: 5, c: 7, z: 2}. Interpretation: 5/13 Query: Three letters picked without replacement from iiiuiqquiiqiuquuuuuq. What is prob of picking 2 i and 1 u? Interpretation: 14/95 Query: Two letters picked without replacement from mmeooeemooomeo
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numbers: div remainder ---------------------- Ask: What is the remainder when 26456 is divided by 270? Steps: 266 Ask: What is the remainder when 1780458 is divided by 81? Steps: 78 Ask: What is the remainder when 92548815 is divided by 364? Steps: 359 Ask: Calculate the remainder when 21990218 is divided by 490. Steps: 488 Ask: What is the remainder when 324951 is divided by 6976? Steps: 4055 Ask: What is the remainder when 160 is divided by 106? Steps: 54 Ask: What is the remainder when 3629765 is divided by 918? Steps: 911 Ask: What is the remainder when 6760 is divided by 144? Steps: 136 Ask: Calculate the remainder when 515056 is divided by 257132. Steps: 792 Ask: What is the remainder when 610 is divided by 36? Steps: 34 Ask: Calculate the remainder when 247 is divided by 235. Steps: 12 Ask: What is the remainder when 3834 is divided by 1144? Steps: 402 Ask: Calculate the remainder when 32712586 is divided by 3634722. Steps: 88 Ask: Calculate the remainder when 48217 is divided by 16042. Steps: 91 Ask: Calculate the remainder when 19207 is divided by 197. Steps: 98 Ask: What is the remainder when 211 is divided by 45? Steps: 31 Ask: What is the remainder when 5274047 is divided by 2620? Steps: 2607 Ask: Calculate the remainder when 28947 is divided by 1044. Steps: 759 Ask: Calculate the remainder when 36 is divided by 8. Steps: 4 Ask: Calculate the remainder when 86665 is divided by 1011. Steps: 730 Ask: What is the remainder when 5151 is divided by 526? Steps: 417 Ask: Calculate the remainder when 76696162 is divided by 77. Steps: 4 Ask: What is the remainder when 4911 is divided by 4817? Steps: 94 Ask: Calculate the remainder when 88 is divided by 54. Steps: 34 Ask: What is the remainder when 105 is divided by 66? Steps: 39 Ask: Calculate the remainder when 229 is divided by 12. Steps: 1 Ask: What is the remainder when 8138984 is divided by 132? Steps: 128 Ask: What is the remainder when 550 is divided by 172? Steps: 34 Ask: What is the remainder when 67811
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numbers: place value -------------------- Q/A: What is the billions digit of 2612886228? Fix: 2 Q/A: What is the thousands digit of 29060? Fix: 9 Q/A: What is the hundreds digit of 45233? Fix: 2 Q/A: What is the hundred thousands digit of 945812292? Fix: 8 Q/A: What is the units digit of 33312265? Fix: 5 Q/A: What is the hundred millions digit of 780142695? Fix: 7 Q/A: What is the units digit of 1524272598? Fix: 8 Q/A: What is the hundreds digit of 79033? Fix: 0 Q/A: What is the thousands digit of 3292? Fix: 3 Q/A: What is the tens digit of 459? Fix: 5 Q/A: What is the tens digit of 2447841? Fix: 4 Q/A: What is the ten thousands digit of 4221446? Fix: 2 Q/A: What is the tens digit of 2648? Fix: 4 Q/A: What is the units digit of 2520591? Fix: 1 Q/A: What is the units digit of 75972? Fix: 2 Q/A: What is the tens digit of 5136986? Fix: 8 Q/A: What is the ten thousands digit of 3589861? Fix: 8 Q/A: What is the tens digit of 60464? Fix: 6 Q/A: What is the hundreds digit of 94341? Fix: 3 Q/A: What is the hundred thousands digit of 14032524? Fix: 0 Q/A: What is the thousands digit of 5833? Fix: 5 Q/A: What is the ten thousands digit of 20695? Fix: 2 Q/A: What is the thousands digit of 31188? Fix: 1 Q/A: What is the hundreds digit of 514573917? Fix: 9 Q/A: What is the hundreds digit of 85296? Fix: 2 Q/A: What is the hundred thousands digit of 426716? Fix: 4 Q/A: What is the hundred thousands digit of 233558038? Fix: 5 Q/A: What is the hundred thousands digit of 3931376? Fix: 9 Q/A: What is the tens digit of 1879? Fix: 7 Q/A: What is the hundreds digit of 2925369? Fix: 3 Q/A: What is the millions digit of 18183484? Fix: 8 Q/A: What is the thousands digit of 69490? Fix: 9 Q/A: What is the ten thousands digit of 512958806? Fix: 5 Q/A: What is the tens digit of 14807? Fix: 0 Q/A: What is the units digit of 6162? Fix: 2 Q/A: What is the hundred thousands digit of 9652677? Fix: 6 Q/A: What is the thousands digit of 9650? Fix: 9 Q/A: What is the hundreds digit of 139028? Fix: 0 Q/
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numbers: place value -------------------- Issue: What is the thousands digit of 847088908? Math A: 8 Issue: What is the hundreds digit of 538342? Math A: 3 Issue: What is the hundred thousands digit of 669548764? Math A: 5 Issue: What is the hundred millions digit of 597866862? Math A: 5 Issue: What is the hundreds digit of 67280? Math A: 2 Issue: What is the ten millions digit of 31813288? Math A: 3 Issue: What is the units digit of 7688633? Math A: 3 Issue: What is the hundred thousands digit of 328260189? Math A: 2 Issue: What is the hundreds digit of 21454? Math A: 4 Issue: What is the units digit of 7619? Math A: 9 Issue: What is the units digit of 63490865? Math A: 5 Issue: What is the ten thousands digit of 33009? Math A: 3 Issue: What is the hundreds digit of 48841? Math A: 8 Issue: What is the tens digit of 20353? Math A: 5 Issue: What is the tens digit of 397406? Math A: 0 Issue: What is the hundreds digit of 128? Math A: 1 Issue: What is the units digit of 6706? Math A: 6 Issue: What is the thousands digit of 4626? Math A: 4 Issue: What is the hundreds digit of 11385565? Math A: 5 Issue: What is the tens digit of 13647? Math A: 4 Issue: What is the thousands digit of 666134? Math A: 6 Issue: What is the hundreds digit of 39856? Math A: 8 Issue: What is the thousands digit of 2245927960? Math A: 7 Issue: What is the tens digit of 68585062? Math A: 6 Issue: What is the tens digit of 3402? Math A: 0 Issue: What is the hundreds digit of 7454? Math A: 4 Issue: What is the ten thousands digit of 192116984? Math A: 1 Issue: What is the ten thousands digit of 32706636? Math A: 0 Issue: What is the thousands digit of 55757? Math A: 5 Issue: What is the millions digit of 99064886? Math A: 9 Issue: What is the thousands digit of 2144? Math A: 2 Issue: What is the units digit of 68247025? Math A: 5 Issue: What is the thousands digit of 957589542? Math A: 9 Issue: What is the tens digit of 10465892? Math A: 9 Issue: What is the hundred millions digit of 170840141? Mat
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measurement: conversion ----------------------- Prompt: How many seconds are there in seventeen sixths of a minute? Eval: 170 Prompt: What is 40.63774m in centimeters? Eval: 4063.774 Prompt: What is eleven halves of a meter in millimeters? Eval: 5500 Prompt: How many nanoseconds are there in 32/5 of a microsecond? Eval: 6400 Prompt: How many nanograms are there in 58491.03 micrograms? Eval: 58491030 Prompt: How many millilitres are there in 27/5 of a litre? Eval: 5400 Prompt: Convert 0.6139755 months to decades. Eval: 0.0051164625 Prompt: How many micrometers are there in 0.410038cm? Eval: 4100.38 Prompt: How many seconds are there in thirty-one sixths of a hour? Eval: 18600 Prompt: How many decades are there in 17/4 of a millennium? Eval: 425 Prompt: What is nineteen quarters of a kilogram in grams? Eval: 4750 Prompt: Convert 95338.69l to millilitres. Eval: 95338690 Prompt: How many micrograms are there in thirty-one halves of a milligram? Eval: 15500 Prompt: What is 704005.8 millennia in centuries? Eval: 7040058 Prompt: Convert 96971.92cm to micrometers. Eval: 969719200 Prompt: Convert 527.3719mg to nanograms. Eval: 527371900 Prompt: What is 1221.583l in millilitres? Eval: 1221583 Prompt: What is fourty-six fifths of a litre in millilitres? Eval: 9200 Prompt: What is 1/4 of a week in minutes? Eval: 2520 Prompt: How many decades are there in 170.7469 millennia? Eval: 17074.69 Prompt: What is 3/40 of a litre in millilitres? Eval: 75 Prompt: What is one fifth of a kilogram in grams? Eval: 200 Prompt: How many minutes are there in 18250.527 milliseconds? Eval: 0.30417545 Prompt: Convert 3.534634ms to nanoseconds. Eval: 3534634 Prompt: What is 10684.89l in millilitres? Eval: 10684890 Prompt: What is 21.78249ml in litres? Eval: 0.02178249 Prompt: Convert 473076.2l to millilitres. Eval: 473076200 Prompt: What is fifty-five quarters of a millimeter in micrometers? Eval: 13750 Prompt: What is 7/6 of a day in minutes? Eval: 1680 Prompt: How many litres are there in 815.975m
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numbers: is factor ------------------ Math Problem: Does 133 divide 62540? Yields: False Math Problem: Does 5 divide 72367401? Yields: False Math Problem: Is 26287360 a multiple of 55? Yields: True Math Problem: Is 84 a multiple of 12? Yields: True Math Problem: Is 34990 a multiple of 54? Yields: False Math Problem: Does 4 divide 29? Yields: False Math Problem: Does 49 divide 730? Yields: False Math Problem: Is 30 a factor of 163890? Yields: True Math Problem: Does 6 divide 22774194? Yields: True Math Problem: Does 20 divide 2079? Yields: False Math Problem: Is 320 a multiple of 32? Yields: True Math Problem: Is 81900 a multiple of 210? Yields: True Math Problem: Is 1327 a factor of 1381115406? Yields: False Math Problem: Is 540 a multiple of 15? Yields: True Math Problem: Is 59 a factor of 4104630? Yields: True Math Problem: Is 4 a factor of 35966? Yields: False Math Problem: Is 10656516 a multiple of 116? Yields: False Math Problem: Does 37 divide 2185? Yields: False Math Problem: Is 20 a factor of 12456120? Yields: True Math Problem: Does 23 divide 485? Yields: False Math Problem: Does 6 divide 6952? Yields: False Math Problem: Is 14 a factor of 3661? Yields: False Math Problem: Is 46 a factor of 19347? Yields: False Math Problem: Is 99 a factor of 139424? Yields: False Math Problem: Does 8 divide 7939702? Yields: False Math Problem: Is 135318 a multiple of 114? Yields: True Math Problem: Is 6708 a multiple of 11? Yields: False Math Problem: Does 39 divide 936? Yields: True Math Problem: Is 12 a factor of 14827971? Yields: False Math Problem: Is 886996 a multiple of 22? Yields: True Math Problem: Is 305223980 a multiple of 380? Yields: True Math Problem: Does 36 divide 21672? Yields: True Math Problem: Is 480 a multiple of 40? Yields: True Math Problem: Is 20 a factor of 385? Yields: False Math Problem: Does 70 divide 4616? Yields: False Math Problem: Is 199 a factor of 378697? Yields: True Math Problem: Is 20 a factor of 215400? Yields: True Math Problem: Is 652
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probability: swr p sequence --------------------------- Prompt: Two letters picked without replacement from haahhdhhahaaahhahh. What is prob of sequence ah? Eval: 35/153 Prompt: Three letters picked without replacement from {r: 3, k: 1, h: 3}. What is prob of sequence hhh? Eval: 1/35 Prompt: Calculate prob of sequence gggg when four letters picked without replacement from gfgfgggggggg. Eval: 14/33 Prompt: Four letters picked without replacement from qqqqqyyqqqqyqzqyyaa. What is prob of sequence qqya? Eval: 275/23256 Prompt: Four letters picked without replacement from {q: 3, t: 1, j: 6, b: 6, x: 2, c: 2}. What is prob of sequence tjxb? Eval: 1/1615 Prompt: Calculate prob of sequence xx when two letters picked without replacement from xxhxxxxxxhxxxxhhxxx. Eval: 35/57 Prompt: What is prob of sequence pwww when four letters picked without replacement from pwwwpwww? Eval: 1/7 Prompt: Calculate prob of sequence zzzl when four letters picked without replacement from lllllzzzzl. Eval: 1/35 Prompt: Calculate prob of sequence ivn when three letters picked without replacement from nrfvfmi. Eval: 1/210 Prompt: What is prob of sequence dw when two letters picked without replacement from {d: 7, w: 4, q: 3}? Eval: 2/13 Prompt: What is prob of sequence ann when three letters picked without replacement from {a: 3, n: 9}? Eval: 9/55 Prompt: Four letters picked without replacement from {a: 1, i: 3, d: 2, s: 3, n: 1}. Give prob of sequence dnad. Eval: 1/2520 Prompt: Calculate prob of sequence kmd when three letters picked without replacement from tmmtktxkxdktxttmtk. Eval: 1/408 Prompt: Four letters picked without replacement from qjqjjjhqjdjjjqjqdqqq. What is prob of sequence dhqd? Eval: 2/14535 Prompt: Three letters picked without replacement from {z: 4, v: 2, m: 7}. What is prob of sequence zzv? Eval: 2/143 Prompt: Three letters picked without replacement from vmmv. What is prob of sequence mmv? Eval: 1/6 Prompt: What is prob of sequence ba when two letters picked without replacemen
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numbers: place value -------------------- Prompt: What is the hundred millions digit of 145441124? Answer: 1 Prompt: What is the units digit of 1255238271? Answer: 1 Prompt: What is the hundreds digit of 3410993621? Answer: 6 Prompt: What is the hundred thousands digit of 247392? Answer: 2 Prompt: What is the hundred millions digit of 883160448? Answer: 8 Prompt: What is the thousands digit of 54543? Answer: 4 Prompt: What is the thousands digit of 5952525? Answer: 2 Prompt: What is the thousands digit of 990616? Answer: 0 Prompt: What is the hundreds digit of 4719373? Answer: 3 Prompt: What is the units digit of 22726? Answer: 6 Prompt: What is the tens digit of 213263648? Answer: 4 Prompt: What is the hundreds digit of 2111? Answer: 1 Prompt: What is the hundreds digit of 1083? Answer: 0 Prompt: What is the ten thousands digit of 19121? Answer: 1 Prompt: What is the ten thousands digit of 764366? Answer: 6 Prompt: What is the units digit of 15909? Answer: 9 Prompt: What is the thousands digit of 19080? Answer: 9 Prompt: What is the tens digit of 24116714? Answer: 1 Prompt: What is the units digit of 13436156? Answer: 6 Prompt: What is the units digit of 10180? Answer: 0 Prompt: What is the units digit of 383? Answer: 3 Prompt: What is the ten thousands digit of 233487? Answer: 3 Prompt: What is the hundred thousands digit of 671310891? Answer: 3 Prompt: What is the tens digit of 456049575? Answer: 7 Prompt: What is the thousands digit of 6451064586? Answer: 4 Prompt: What is the hundred thousands digit of 2026075962? Answer: 0 Prompt: What is the ten thousands digit of 88304931? Answer: 0 Prompt: What is the hundred thousands digit of 41970936? Answer: 9 Prompt: What is the units digit of 473? Answer: 3 Prompt: What is the hundreds digit of 1117? Answer: 1 Prompt: What is the units digit of 380047410? Answer: 0 Prompt: What is the tens digit of 11470118? Answer: 1 Prompt: What is the thousands digit of 473748? Answer: 3 Prompt: What is the thousands digit of 3991?
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probability: swr p level set ---------------------------- Problem: Two letters picked without replacement from {q: 1, b: 1, f: 2, i: 1, u: 1, j: 2}. Give prob of picking 1 u and 1 i. Interpretation: 1/28 Problem: Two letters picked without replacement from zbzmbbbzbmz. Give prob of picking 2 m. Interpretation: 1/55 Problem: Two letters picked without replacement from cicgciiicxicciricixi. What is prob of picking 2 c? Interpretation: 21/190 Problem: Calculate prob of picking 1 s and 2 w when three letters picked without replacement from rsxwrrwsrrsws. Interpretation: 6/143 Problem: What is prob of picking 2 i when two letters picked without replacement from tggitggtytgggcgi? Interpretation: 1/120 Problem: Calculate prob of picking 3 v when three letters picked without replacement from {v: 3}. Interpretation: 1 Problem: Two letters picked without replacement from {l: 4, k: 1, x: 2, b: 4, p: 5}. Give prob of picking 2 x. Interpretation: 1/120 Problem: Two letters picked without replacement from mee. Give prob of picking 2 e. Interpretation: 1/3 Problem: What is prob of picking 4 o when four letters picked without replacement from eblebeeeeebelooooeo? Interpretation: 5/3876 Problem: What is prob of picking 1 x and 1 r when two letters picked without replacement from {r: 11, x: 2, w: 1}? Interpretation: 22/91 Problem: What is prob of picking 1 b, 1 x, and 1 o when three letters picked without replacement from bbxbo? Interpretation: 3/10 Problem: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {w: 1, k: 5, y: 7, z: 3, c: 2}. Interpretation: 2/51 Problem: Three letters picked without replacement from {l: 1, v: 3, b: 2, h: 1, m: 5, e: 1}. Give prob of picking 1 v, 1 l, and 1 b. Interpretation: 3/143 Problem: Four letters picked without replacement from {j: 5, x: 1, y: 3, b: 6, k: 1, r: 3}. What is prob of picking 2 r and 2 y? Interpretation: 3/1292 Problem: What is prob of picking 1 v and 1 t when two letters picked without replacement
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numbers: is factor ------------------ Puzzle: Is 322913136 a multiple of 56? Therefore: True Puzzle: Is 106 a factor of 4169742? Therefore: False Puzzle: Does 13 divide 2710461? Therefore: True Puzzle: Does 4 divide 592? Therefore: True Puzzle: Does 744 divide 32063076? Therefore: False Puzzle: Is 14 a factor of 155? Therefore: False Puzzle: Does 686 divide 10115070? Therefore: True Puzzle: Does 17 divide 2360434? Therefore: False Puzzle: Is 4801 a factor of 852921655? Therefore: True Puzzle: Does 17 divide 9054? Therefore: False Puzzle: Does 307 divide 7409233? Therefore: False Puzzle: Does 1180 divide 171100? Therefore: True Puzzle: Is 6647424 a multiple of 7? Therefore: True Puzzle: Is 121 a factor of 12100? Therefore: True Puzzle: Does 44 divide 1828? Therefore: False Puzzle: Is 3 a factor of 27073? Therefore: False Puzzle: Does 12 divide 81403? Therefore: False Puzzle: Is 8 a factor of 291? Therefore: False Puzzle: Is 18 a factor of 6469? Therefore: False Puzzle: Is 84 a factor of 22536725? Therefore: False Puzzle: Does 13 divide 312804336? Therefore: True Puzzle: Is 46346273 a multiple of 182? Therefore: False Puzzle: Is 910 a multiple of 7? Therefore: True Puzzle: Is 9 a factor of 3636? Therefore: True Puzzle: Is 416 a factor of 4437056? Therefore: True Puzzle: Is 2728 a factor of 1035911219? Therefore: False Puzzle: Is 16 a factor of 304? Therefore: True Puzzle: Is 930 a multiple of 83? Therefore: False Puzzle: Is 569015813 a multiple of 715? Therefore: False Puzzle: Is 96 a multiple of 4? Therefore: True Puzzle: Is 68658 a multiple of 130? Therefore: False Puzzle: Is 8266 a factor of 1471447192? Therefore: True Puzzle: Does 104 divide 1827082? Therefore: False Puzzle: Is 240348 a multiple of 112? Therefore: False Puzzle: Is 616 a factor of 40170592? Therefore: True Puzzle: Is 72 a factor of 3024? Therefore: True Puzzle: Is 319606017 a multiple of 21? Therefore: False Puzzle: Is 23 a factor of 1475? Therefore: False Puzzle: Does 20 divide 3680? Therefore: Tr
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probability: swr p level set ---------------------------- Inquiry: Three letters picked without replacement from qudouvquvuqduuqu. Give prob of picking 1 q, 1 u, and 1 d. Interpretation: 1/10 Inquiry: What is prob of picking 4 k when four letters picked without replacement from tktttkktkktttt? Interpretation: 5/1001 Inquiry: What is prob of picking 4 u when four letters picked without replacement from {u: 10, o: 2, w: 6}? Interpretation: 7/102 Inquiry: Three letters picked without replacement from ccffcffccfffcfffffd. Give prob of picking 3 c. Interpretation: 20/969 Inquiry: Two letters picked without replacement from dllmddlddmdl. What is prob of picking 2 d? Interpretation: 5/22 Inquiry: Two letters picked without replacement from eggpreieebieb. What is prob of picking 2 g? Interpretation: 1/78 Inquiry: Three letters picked without replacement from vvvvvzavv. What is prob of picking 1 v, 1 a, and 1 z? Interpretation: 1/12 Inquiry: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, d: 10}. Interpretation: 1/66 Inquiry: What is prob of picking 2 m when two letters picked without replacement from mmffffmmmmmf? Interpretation: 7/22 Inquiry: Two letters picked without replacement from {k: 3, y: 1, s: 1, r: 2, c: 3, w: 2}. What is prob of picking 1 k and 1 c? Interpretation: 3/22 Inquiry: Three letters picked without replacement from fmfffffffmfffffffm. Give prob of picking 2 f and 1 m. Interpretation: 105/272 Inquiry: Calculate prob of picking 2 a when two letters picked without replacement from {g: 4, i: 9, a: 6}. Interpretation: 5/57 Inquiry: What is prob of picking 1 q and 1 z when two letters picked without replacement from {c: 1, z: 4, q: 4, o: 2}? Interpretation: 16/55 Inquiry: Four letters picked without replacement from efuffffijujf. What is prob of picking 3 f and 1 u? Interpretation: 8/99 Inquiry: Calculate prob of picking 1 c, 2 q, and 1 s when four letters picked without replacement from qeqvcss. Interpretation: 2/35 Inqui
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probability: swr p level set ---------------------------- Problem: Three letters picked without replacement from cuccucuccccc. Give prob of picking 2 u and 1 c. Outcome: 27/220 Problem: Four letters picked without replacement from {o: 6, t: 4, i: 2, g: 6}. What is prob of picking 1 o, 2 t, and 1 g? Outcome: 6/85 Problem: Four letters picked without replacement from lllxllllllxllxxlxxl. Give prob of picking 4 x. Outcome: 5/1292 Problem: Calculate prob of picking 3 s and 1 n when four letters picked without replacement from {n: 3, s: 5}. Outcome: 3/7 Problem: Three letters picked without replacement from {x: 1, e: 1, q: 2, f: 3, p: 5}. What is prob of picking 1 f, 1 e, and 1 x? Outcome: 3/220 Problem: Calculate prob of picking 1 a and 2 r when three letters picked without replacement from {a: 1, o: 12, r: 2, f: 1, t: 2}. Outcome: 1/816 Problem: Three letters picked without replacement from {m: 4, q: 9, d: 1, w: 3, n: 2}. Give prob of picking 1 m and 2 n. Outcome: 4/969 Problem: Two letters picked without replacement from iimiiiiiiimii. Give prob of picking 2 m. Outcome: 1/78 Problem: Two letters picked without replacement from {z: 1, l: 6, d: 1, o: 1, p: 3, f: 1}. Give prob of picking 1 p and 1 f. Outcome: 1/26 Problem: Calculate prob of picking 2 z when two letters picked without replacement from zixixxziiiixi. Outcome: 1/78 Problem: Two letters picked without replacement from {x: 6, n: 7}. What is prob of picking 2 x? Outcome: 5/26 Problem: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from ebvobbeuubbuavvuevau. Outcome: 1/19 Problem: Four letters picked without replacement from ygudxyxufuuuufy. Give prob of picking 1 x, 1 u, and 2 y. Outcome: 12/455 Problem: Four letters picked without replacement from vmvzzzvzz. Give prob of picking 2 z and 2 v. Outcome: 5/21 Problem: Four letters picked without replacement from ooooo. Give prob of picking 4 o. Outcome: 1 Problem: Calculate prob of picking 2 x and 1 s when three letters picked w
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numbers: is prime ----------------- Case: Is 673625741 composite? Calculation: False Case: Is 23623 composite? Calculation: False Case: Is 3849763 composite? Calculation: True Case: Is 3271 a composite number? Calculation: False Case: Is 1536565691 prime? Calculation: True Case: Is 1338615121 a prime number? Calculation: True Case: Is 10697 composite? Calculation: True Case: Is 36380290889 a composite number? Calculation: False Case: Is 140329 a composite number? Calculation: True Case: Is 30174965477 composite? Calculation: False Case: Is 2713279 prime? Calculation: False Case: Is 3080827 a composite number? Calculation: True Case: Is 295553 a composite number? Calculation: False Case: Is 105183545 a prime number? Calculation: False Case: Is 479 a composite number? Calculation: False Case: Is 8659837 a composite number? Calculation: False Case: Is 1374166 prime? Calculation: False Case: Is 183151 prime? Calculation: True Case: Is 1654097 composite? Calculation: True Case: Is 3825586697 composite? Calculation: True Case: Is 637199179 a prime number? Calculation: True Case: Is 63779738339 a prime number? Calculation: True Case: Is 88197 composite? Calculation: True Case: Is 164060503 prime? Calculation: False Case: Is 708902 a prime number? Calculation: False Case: Is 622042763 prime? Calculation: True Case: Is 64346039 a prime number? Calculation: True Case: Is 3809 a prime number? Calculation: False Case: Is 5581 prime? Calculation: True Case: Is 3867163 composite? Calculation: False Case: Is 4310603 composite? Calculation: True Case: Is 24012078511 composite? Calculation: False Case: Is 83661827 a composite number? Calculation: False Case: Is 144817 composite? Calculation: False Case: Is 248081791 a composite number? Calculation: True Case: Is 36768617551 prime? Calculation: False Case: Is 334732267 prime? Calculation: False Case: Is 1592975449 composite? Calculation: True Case: Is 293 a composite number? Calculation: False Case: Is 492893321 a prime number? Calcu
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arithmetic: nearest integer root -------------------------------- Problem: What is 74025 to the power of 1/5, to the nearest integer? Soln: 9 Problem: What is 5793 to the power of 1/7, to the nearest integer? Soln: 3 Problem: What is 32 to the power of 1/10, to the nearest integer? Soln: 1 Problem: What is 2884 to the power of 1/7, to the nearest integer? Soln: 3 Problem: What is 220953145 to the power of 1/10, to the nearest integer? Soln: 7 Problem: What is the cube root of 3290 to the nearest integer? Soln: 15 Problem: What is 2689324580 to the power of 1/10, to the nearest integer? Soln: 9 Problem: What is the square root of 123188878 to the nearest integer? Soln: 11099 Problem: What is the square root of 90710406 to the nearest integer? Soln: 9524 Problem: What is 1616180 to the power of 1/3, to the nearest integer? Soln: 117 Problem: What is the square root of 8943 to the nearest integer? Soln: 95 Problem: What is 19 to the power of 1/5, to the nearest integer? Soln: 2 Problem: What is 2875869913 to the power of 1/2, to the nearest integer? Soln: 53627 Problem: What is 280 to the power of 1/3, to the nearest integer? Soln: 7 Problem: What is 1067 to the power of 1/2, to the nearest integer? Soln: 33 Problem: What is 2122335 to the power of 1/4, to the nearest integer? Soln: 38 Problem: What is 1250760227 to the power of 1/2, to the nearest integer? Soln: 35366 Problem: What is 19753133 to the power of 1/6, to the nearest integer? Soln: 16 Problem: What is 1883 to the power of 1/9, to the nearest integer? Soln: 2 Problem: What is the cube root of 198884724 to the nearest integer? Soln: 584 Problem: What is 1740 to the power of 1/2, to the nearest integer? Soln: 42 Problem: What is 716549 to the power of 1/3, to the nearest integer? Soln: 89 Problem: What is the square root of 57394 to the nearest integer? Soln: 240 Problem: What is the square root of 571415611 to the nearest integer? Soln: 23904 Problem: What is the eighth root of 42048 to the nearest integer?
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probability: swr p sequence --------------------------- Qn: Three letters picked without replacement from {t: 7}. What is prob of sequence ttt? A.: 1 Qn: Two letters picked without replacement from yyuuuuautytnty. What is prob of sequence tn? A.: 3/182 Qn: Four letters picked without replacement from qfwqwgqfgzqawww. What is prob of sequence qfga? A.: 2/4095 Qn: Three letters picked without replacement from rvrrvvv. Give prob of sequence rrr. A.: 1/35 Qn: Two letters picked without replacement from {l: 1, s: 3, d: 1, m: 2, a: 3, h: 3}. What is prob of sequence hs? A.: 3/52 Qn: Three letters picked without replacement from qqjaqqjbbjqjbbjjqj. Give prob of sequence qjq. A.: 35/816 Qn: Four letters picked without replacement from fhhvhohozzzv. What is prob of sequence ozfh? A.: 1/495 Qn: What is prob of sequence zxm when three letters picked without replacement from {m: 9, z: 3, x: 7}? A.: 21/646 Qn: Two letters picked without replacement from bybbybhhbbhbbybbhb. Give prob of sequence yh. A.: 2/51 Qn: Two letters picked without replacement from vhhvqqkhkttkqhqvc. Give prob of sequence hk. A.: 3/68 Qn: What is prob of sequence lh when two letters picked without replacement from {u: 5, l: 4, h: 1, k: 6}? A.: 1/60 Qn: What is prob of sequence yyy when three letters picked without replacement from {y: 5}? A.: 1 Qn: Two letters picked without replacement from vmm. What is prob of sequence vm? A.: 1/3 Qn: What is prob of sequence at when two letters picked without replacement from {a: 3, t: 1}? A.: 1/4 Qn: Calculate prob of sequence cwh when three letters picked without replacement from {w: 1, f: 3, h: 5, c: 1, a: 1, l: 1}. A.: 1/264 Qn: What is prob of sequence mv when two letters picked without replacement from {v: 2, s: 5, w: 7, t: 4, m: 2}? A.: 1/95 Qn: Two letters picked without replacement from ldffwfmdmlwdddmdfdfd. Give prob of sequence df. A.: 2/19 Qn: Three letters picked without replacement from xnoonoxoxxnxnonnf. What is prob of sequence fnn? A.: 1/136 Qn: Calcula
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numbers: place value -------------------- Test item: What is the units digit of 77885760? Gives: 0 Test item: What is the tens digit of 23658? Gives: 5 Test item: What is the millions digit of 3998990538? Gives: 8 Test item: What is the millions digit of 8016876? Gives: 8 Test item: What is the ten thousands digit of 2459800? Gives: 5 Test item: What is the ten thousands digit of 410496? Gives: 1 Test item: What is the ten millions digit of 481960251? Gives: 8 Test item: What is the ten thousands digit of 84135957? Gives: 3 Test item: What is the tens digit of 606? Gives: 0 Test item: What is the hundreds digit of 14596? Gives: 5 Test item: What is the millions digit of 639539103? Gives: 9 Test item: What is the thousands digit of 148728288? Gives: 8 Test item: What is the thousands digit of 6005968? Gives: 5 Test item: What is the tens digit of 5761173101? Gives: 0 Test item: What is the units digit of 3022670? Gives: 0 Test item: What is the thousands digit of 1158624? Gives: 8 Test item: What is the millions digit of 8712568? Gives: 8 Test item: What is the hundred thousands digit of 7722466? Gives: 7 Test item: What is the thousands digit of 1470? Gives: 1 Test item: What is the thousands digit of 80488239? Gives: 8 Test item: What is the hundreds digit of 51552? Gives: 5 Test item: What is the hundreds digit of 1699? Gives: 6 Test item: What is the tens digit of 156446? Gives: 4 Test item: What is the thousands digit of 17020? Gives: 7 Test item: What is the units digit of 12419? Gives: 9 Test item: What is the hundred thousands digit of 521687? Gives: 5 Test item: What is the hundreds digit of 690910276? Gives: 2 Test item: What is the hundreds digit of 32853279? Gives: 2 Test item: What is the hundred millions digit of 1068420733? Gives: 0 Test item: What is the tens digit of 32102? Gives: 0 Test item: What is the thousands digit of 4532? Gives: 4 Test item: What is the hundred thousands digit of 2474887? Gives: 4 Test item: What is the thousands digit of 452
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numbers: is prime ----------------- Given: Is 7101995059 a composite number? Soln: False Given: Is 7522249 a composite number? Soln: True Given: Is 892345543 a composite number? Soln: False Given: Is 182589419 composite? Soln: False Given: Is 948994271 composite? Soln: False Given: Is 62897 composite? Soln: False Given: Is 1256429 a prime number? Soln: True Given: Is 588924088171 prime? Soln: True Given: Is 40615 a prime number? Soln: False Given: Is 691210913 prime? Soln: True Given: Is 1713881 prime? Soln: False Given: Is 429085 prime? Soln: False Given: Is 41534309 a composite number? Soln: False Given: Is 8092350157 prime? Soln: True Given: Is 206224597 a composite number? Soln: True Given: Is 1637 prime? Soln: True Given: Is 6347 prime? Soln: False Given: Is 127097431 a prime number? Soln: True Given: Is 4665989 prime? Soln: False Given: Is 24611 a prime number? Soln: True Given: Is 169063 prime? Soln: True Given: Is 12153397 prime? Soln: True Given: Is 1634285431 prime? Soln: True Given: Is 325057 composite? Soln: True Given: Is 90846521573 a composite number? Soln: True Given: Is 312380018 a composite number? Soln: True Given: Is 4201 a prime number? Soln: True Given: Is 18102662659 prime? Soln: True Given: Is 913 a composite number? Soln: True Given: Is 17648231717 composite? Soln: True Given: Is 78658391 composite? Soln: True Given: Is 1197213947 prime? Soln: True Given: Is 149012441 a composite number? Soln: False Given: Is 44277 a composite number? Soln: True Given: Is 5251409 a composite number? Soln: False Given: Is 27191 a prime number? Soln: True Given: Is 2638 a composite number? Soln: True Given: Is 418611 prime? Soln: False Given: Is 2178283859 a prime number? Soln: True Given: Is 715789 composite? Soln: False Given: Is 9401627 a composite number? Soln: False Given: Is 143651 composite? Soln: False Given: Is 3458489 a composite number? Soln: False Given: Is 1457583034 a composite number? Soln: True Given: Is 144203 a prime number? Soln: True Given:
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measurement: conversion ----------------------- Math Q: What is seven eighths of a gram in milligrams? Response: 875 Math Q: Convert 2641.4 years to decades. Response: 264.14 Math Q: What is 15/4 of a century in months? Response: 4500 Math Q: Convert 268308.5kg to tonnes. Response: 268.3085 Math Q: What is one quarter of a millisecond in microseconds? Response: 250 Math Q: How many millilitres are there in thirty-four fifths of a litre? Response: 6800 Math Q: Convert 0.2325183t to kilograms. Response: 232.5183 Math Q: What is 3/16 of a millennium in months? Response: 2250 Math Q: How many millilitres are there in 3/40 of a litre? Response: 75 Math Q: What is 68.01976 millilitres in litres? Response: 0.06801976 Math Q: How many decades are there in 2.6710791 months? Response: 0.0222589925 Math Q: What is 11264.4mg in micrograms? Response: 11264400 Math Q: How many centuries are there in 1/5 of a millennium? Response: 2 Math Q: What is 7/4 of a meter in millimeters? Response: 1750 Math Q: Convert 848995.1 minutes to microseconds. Response: 50939706000000 Math Q: How many micrometers are there in three fifths of a centimeter? Response: 6000 Math Q: How many millilitres are there in seven halves of a litre? Response: 3500 Math Q: How many kilometers are there in 7.84162m? Response: 0.00784162 Math Q: Convert 74380.69ml to litres. Response: 74.38069 Math Q: What is 1/5 of a day in minutes? Response: 288 Math Q: Convert 0.8208344 litres to millilitres. Response: 820.8344 Math Q: How many millilitres are there in 21/5 of a litre? Response: 4200 Math Q: How many micrograms are there in 966395.6 milligrams? Response: 966395600 Math Q: What is 3/10 of a century in decades? Response: 3 Math Q: What is 6/25 of a millennium in years? Response: 240 Math Q: What is 7502.132 tonnes in milligrams? Response: 7502132000000 Math Q: How many millimeters are there in seven quarters of a meter? Response: 1750 Math Q: How many seconds are there in 2961.577 minutes? Response: 177694.62 Math
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numbers: gcd ------------ Problem: Calculate the greatest common divisor of 1282066 and 50807. Explanation: 1081 Problem: What is the greatest common factor of 4250 and 370? Explanation: 10 Problem: Calculate the highest common factor of 325 and 2550535. Explanation: 65 Problem: What is the highest common divisor of 220 and 75600? Explanation: 20 Problem: What is the greatest common factor of 15 and 1905? Explanation: 15 Problem: Calculate the greatest common factor of 34 and 2567. Explanation: 17 Problem: What is the greatest common factor of 17 and 14? Explanation: 1 Problem: Calculate the highest common factor of 252 and 72. Explanation: 36 Problem: What is the greatest common factor of 33552 and 576? Explanation: 144 Problem: What is the highest common divisor of 507 and 28118896? Explanation: 169 Problem: What is the greatest common factor of 485022 and 2824? Explanation: 706 Problem: What is the highest common factor of 3807 and 243? Explanation: 81 Problem: What is the greatest common divisor of 106 and 3251762? Explanation: 106 Problem: Calculate the highest common factor of 465 and 75. Explanation: 15 Problem: What is the highest common factor of 72 and 18306? Explanation: 18 Problem: What is the greatest common divisor of 182 and 52? Explanation: 26 Problem: What is the greatest common divisor of 1416 and 24? Explanation: 24 Problem: Calculate the highest common divisor of 30 and 318. Explanation: 6 Problem: Calculate the highest common divisor of 119153 and 2537. Explanation: 43 Problem: What is the greatest common factor of 173 and 446340? Explanation: 173 Problem: Calculate the greatest common divisor of 30 and 1115005335. Explanation: 15 Problem: What is the greatest common factor of 201664 and 8096? Explanation: 736 Problem: What is the greatest common factor of 980 and 20? Explanation: 20 Problem: What is the highest common factor of 1124334 and 788049? Explanation: 1269 Problem: Calculate the greatest common factor of 48360 and 5182320. Explanation:
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measurement: conversion ----------------------- Prompt: How many meters are there in 3/50 of a kilometer? Hence: 60 Prompt: How many years are there in 91256.21 millennia? Hence: 91256210 Prompt: How many millimeters are there in twenty-seven halves of a centimeter? Hence: 135 Prompt: How many millilitres are there in 0.605747 litres? Hence: 605.747 Prompt: How many years are there in 4.845444 centuries? Hence: 484.5444 Prompt: Convert 87.05678g to nanograms. Hence: 87056780000 Prompt: How many years are there in twenty-six fifths of a century? Hence: 520 Prompt: What is twenty-six fifths of a microgram in nanograms? Hence: 5200 Prompt: What is seventy-seven halves of a day in hours? Hence: 924 Prompt: Convert 44054.5 kilograms to micrograms. Hence: 44054500000000 Prompt: How many microseconds are there in 53.99822ms? Hence: 53998.22 Prompt: How many nanometers are there in 9/10 of a micrometer? Hence: 900 Prompt: What is 25/2 of a litre in millilitres? Hence: 12500 Prompt: How many decades are there in 13/5 of a millennium? Hence: 260 Prompt: What is twenty-nine halves of a millimeter in micrometers? Hence: 14500 Prompt: What is 9/10 of a decade in months? Hence: 108 Prompt: What is 98.56995 years in months? Hence: 1182.8394 Prompt: Convert 19585.13 kilograms to tonnes. Hence: 19.58513 Prompt: Convert 78228.78 millennia to years. Hence: 78228780 Prompt: What is twelve sevenths of a week in hours? Hence: 288 Prompt: How many millilitres are there in 3/10 of a litre? Hence: 300 Prompt: What is 3/40 of a milligram in nanograms? Hence: 75000 Prompt: What is 597744.9 years in months? Hence: 7172938.8 Prompt: What is 31/2 of a millimeter in micrometers? Hence: 15500 Prompt: Convert 0.3811454 milliseconds to nanoseconds. Hence: 381145.4 Prompt: What is 3/40 of a micrometer in nanometers? Hence: 75 Prompt: How many centimeters are there in 6/25 of a meter? Hence: 24 Prompt: Convert 8788.66t to milligrams. Hence: 8788660000000 Prompt: How many minutes are there in five quar
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numbers: div remainder ---------------------- Q=: Calculate the remainder when 5715 is divided by 19. A: 15 Q=: What is the remainder when 25653 is divided by 886? A: 845 Q=: Calculate the remainder when 20114943 is divided by 28. A: 23 Q=: What is the remainder when 8899 is divided by 146? A: 139 Q=: Calculate the remainder when 484264 is divided by 1003. A: 818 Q=: Calculate the remainder when 109 is divided by 62. A: 47 Q=: What is the remainder when 777 is divided by 12? A: 9 Q=: Calculate the remainder when 267607 is divided by 300. A: 7 Q=: What is the remainder when 116 is divided by 13? A: 12 Q=: Calculate the remainder when 324 is divided by 150. A: 24 Q=: Calculate the remainder when 18841507 is divided by 795. A: 7 Q=: Calculate the remainder when 895 is divided by 13. A: 11 Q=: Calculate the remainder when 1237497 is divided by 660. A: 657 Q=: What is the remainder when 44 is divided by 15? A: 14 Q=: Calculate the remainder when 80 is divided by 70. A: 10 Q=: Calculate the remainder when 5400528 is divided by 335. A: 328 Q=: Calculate the remainder when 53868 is divided by 157. A: 17 Q=: Calculate the remainder when 339 is divided by 3. A: 0 Q=: What is the remainder when 942 is divided by 80? A: 62 Q=: What is the remainder when 374 is divided by 120? A: 14 Q=: Calculate the remainder when 71991 is divided by 213. A: 210 Q=: What is the remainder when 2080141 is divided by 4071? A: 3931 Q=: What is the remainder when 118584 is divided by 26? A: 24 Q=: Calculate the remainder when 1829 is divided by 65. A: 9 Q=: Calculate the remainder when 48161 is divided by 11001. A: 4157 Q=: What is the remainder when 2282 is divided by 127? A: 123 Q=: What is the remainder when 1221 is divided by 34? A: 31 Q=: What is the remainder when 375343 is divided by 104? A: 7 Q=: Calculate the remainder when 3801 is divided by 129. A: 60 Q=: What is the remainder when 202 is divided by 41? A: 38 Q=: What is the remainder when 11453550 is divided by 11? A: 9 Q=: Calculate the
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numbers: place value -------------------- Part A: What is the thousands digit of 3733691? Therefore: 3 Part A: What is the tens digit of 16696? Therefore: 9 Part A: What is the tens digit of 523260? Therefore: 6 Part A: What is the ten millions digit of 21912710? Therefore: 2 Part A: What is the units digit of 3030181? Therefore: 1 Part A: What is the ten millions digit of 6598759011? Therefore: 9 Part A: What is the tens digit of 12791? Therefore: 9 Part A: What is the tens digit of 1161? Therefore: 6 Part A: What is the units digit of 629205? Therefore: 5 Part A: What is the units digit of 690? Therefore: 0 Part A: What is the billions digit of 4295563642? Therefore: 4 Part A: What is the tens digit of 2137748? Therefore: 4 Part A: What is the thousands digit of 801477886? Therefore: 7 Part A: What is the hundreds digit of 125579752? Therefore: 7 Part A: What is the units digit of 5781? Therefore: 1 Part A: What is the ten thousands digit of 644956773? Therefore: 5 Part A: What is the thousands digit of 58816? Therefore: 8 Part A: What is the hundreds digit of 561467? Therefore: 4 Part A: What is the tens digit of 10552775? Therefore: 7 Part A: What is the hundreds digit of 488168? Therefore: 1 Part A: What is the hundreds digit of 244? Therefore: 2 Part A: What is the ten thousands digit of 244167273? Therefore: 6 Part A: What is the ten thousands digit of 186600598? Therefore: 0 Part A: What is the millions digit of 4615796? Therefore: 4 Part A: What is the thousands digit of 975898? Therefore: 5 Part A: What is the hundreds digit of 548868? Therefore: 8 Part A: What is the thousands digit of 175659? Therefore: 5 Part A: What is the units digit of 66060? Therefore: 0 Part A: What is the units digit of 959127? Therefore: 7 Part A: What is the millions digit of 1594386721? Therefore: 4 Part A: What is the tens digit of 16251? Therefore: 5 Part A: What is the units digit of 89885696? Therefore: 6 Part A: What is the thousands digit of 457005? Therefore: 7 Part A: W
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numbers: place value -------------------- Step: What is the ten millions digit of 142852917? Math A: 4 Step: What is the hundreds digit of 5314? Math A: 3 Step: What is the tens digit of 28? Math A: 2 Step: What is the billions digit of 2894454522? Math A: 2 Step: What is the tens digit of 2913? Math A: 1 Step: What is the thousands digit of 51813548? Math A: 3 Step: What is the thousands digit of 293559417? Math A: 9 Step: What is the ten thousands digit of 151906? Math A: 5 Step: What is the ten thousands digit of 32974? Math A: 3 Step: What is the hundred thousands digit of 3753488861? Math A: 4 Step: What is the millions digit of 26347596? Math A: 6 Step: What is the tens digit of 15403? Math A: 0 Step: What is the units digit of 65772? Math A: 2 Step: What is the millions digit of 9910122? Math A: 9 Step: What is the thousands digit of 2225522475? Math A: 2 Step: What is the tens digit of 8154? Math A: 5 Step: What is the ten thousands digit of 48681? Math A: 4 Step: What is the thousands digit of 2122113? Math A: 2 Step: What is the thousands digit of 8522049? Math A: 2 Step: What is the hundreds digit of 3456288144? Math A: 1 Step: What is the hundred millions digit of 787475483? Math A: 7 Step: What is the ten thousands digit of 76007? Math A: 7 Step: What is the tens digit of 182394123? Math A: 2 Step: What is the hundred thousands digit of 9705834? Math A: 7 Step: What is the hundreds digit of 369? Math A: 3 Step: What is the units digit of 6842318? Math A: 8 Step: What is the ten thousands digit of 26127507? Math A: 2 Step: What is the units digit of 548545866? Math A: 6 Step: What is the hundreds digit of 1606050? Math A: 0 Step: What is the hundreds digit of 1114691? Math A: 6 Step: What is the hundreds digit of 1887? Math A: 8 Step: What is the ten thousands digit of 436101517? Math A: 0 Step: What is the tens digit of 34? Math A: 3 Step: What is the hundreds digit of 798406610? Math A: 6 Step: What is the thousands digit of 5658? Math A: 5 Step: What
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probability: swr p sequence --------------------------- Part A: Three letters picked without replacement from ttnxxtttxttnxnn. What is prob of sequence xxx? Answer: 4/455 Part A: What is prob of sequence lvl when three letters picked without replacement from {v: 4, d: 2, l: 2, a: 2}? Answer: 1/90 Part A: What is prob of sequence ey when two letters picked without replacement from dddydyyeyyjyydywydw? Answer: 1/38 Part A: Two letters picked without replacement from {n: 5, l: 5, o: 2}. Give prob of sequence no. Answer: 5/66 Part A: What is prob of sequence oh when two letters picked without replacement from hhoomohotoooothmmho? Answer: 5/38 Part A: Three letters picked without replacement from fcffffccffffccffcfc. What is prob of sequence ffc? Answer: 154/969 Part A: What is prob of sequence ee when two letters picked without replacement from uexcexqaecx? Answer: 3/55 Part A: What is prob of sequence kkr when three letters picked without replacement from kkrrrrkkrr? Answer: 1/10 Part A: What is prob of sequence vf when two letters picked without replacement from cyffscsycjscvv? Answer: 2/91 Part A: Calculate prob of sequence jddf when four letters picked without replacement from djfdjvjjdjdjvddjvfj. Answer: 5/969 Part A: Four letters picked without replacement from dudvuuvd. Give prob of sequence vudv. Answer: 3/280 Part A: Three letters picked without replacement from {w: 1, c: 1, o: 5, b: 4, h: 2, s: 2}. Give prob of sequence bbw. Answer: 2/455 Part A: What is prob of sequence of when two letters picked without replacement from {f: 6, i: 2, o: 3, s: 1, w: 2, k: 4}? Answer: 1/17 Part A: Four letters picked without replacement from bbcxbcgbcbcz. Give prob of sequence bcxg. Answer: 1/594 Part A: Calculate prob of sequence osss when four letters picked without replacement from osoosososo. Answer: 1/35 Part A: Two letters picked without replacement from {u: 8, w: 2, h: 1, z: 5}. What is prob of sequence hz? Answer: 1/48 Part A: Two letters picked without replacement from
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numbers: is prime ----------------- Case: Is 345869 a composite number? Explanation: False Case: Is 8322811 a prime number? Explanation: False Case: Is 22123822031 a composite number? Explanation: False Case: Is 32673384533 composite? Explanation: True Case: Is 63251304839 a composite number? Explanation: True Case: Is 10243 prime? Explanation: True Case: Is 1656295283 prime? Explanation: False Case: Is 15209681 composite? Explanation: True Case: Is 15476618447 prime? Explanation: True Case: Is 10391 prime? Explanation: True Case: Is 922319 a composite number? Explanation: True Case: Is 12054761 prime? Explanation: True Case: Is 28396967 composite? Explanation: False Case: Is 9215221 a composite number? Explanation: True Case: Is 2203 a composite number? Explanation: False Case: Is 110419 prime? Explanation: True Case: Is 2862702827 prime? Explanation: True Case: Is 103369 composite? Explanation: True Case: Is 3454927409 prime? Explanation: True Case: Is 58132487 a prime number? Explanation: False Case: Is 134165011741 prime? Explanation: False Case: Is 4794607243 composite? Explanation: False Case: Is 6959 a composite number? Explanation: False Case: Is 247548533 a composite number? Explanation: False Case: Is 121663739 a composite number? Explanation: False Case: Is 205339 composite? Explanation: False Case: Is 290022211607 a composite number? Explanation: False Case: Is 67927391 composite? Explanation: True Case: Is 268837201471 composite? Explanation: True Case: Is 254246887 a prime number? Explanation: True Case: Is 7393 a prime number? Explanation: True Case: Is 315820103 a prime number? Explanation: True Case: Is 60504439 composite? Explanation: False Case: Is 2706877 composite? Explanation: True Case: Is 14717340713 composite? Explanation: True Case: Is 2029948267 a prime number? Explanation: True Case: Is 2633 a prime number? Explanation: True Case: Is 7255 composite? Explanation: True Case: Is 1181231 composite? Explanation: True Case: Is 24797 prime? Expl
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measurement: conversion ----------------------- Exercise: What is twenty-three eighths of a gram in milligrams? Ans: 2875 Exercise: How many seconds are there in 1/24 of a week? Ans: 25200 Exercise: What is 5230.887 weeks in microseconds? Ans: 3163640457600000 Exercise: What is 6.321362 millennia in decades? Ans: 632.1362 Exercise: What is fifty-nine fifths of a decade in months? Ans: 1416 Exercise: How many milliseconds are there in 8921.673 nanoseconds? Ans: 0.008921673 Exercise: What is one fifth of a millimeter in micrometers? Ans: 200 Exercise: What is 3/5 of a tonne in kilograms? Ans: 600 Exercise: How many micrograms are there in thirteen fifths of a milligram? Ans: 2600 Exercise: What is 3/5 of a litre in millilitres? Ans: 600 Exercise: How many centimeters are there in 2023.979um? Ans: 0.2023979 Exercise: How many kilograms are there in twenty-six fifths of a tonne? Ans: 5200 Exercise: What is seventeen halves of a kilogram in grams? Ans: 8500 Exercise: How many decades are there in fifty-two fifths of a millennium? Ans: 1040 Exercise: What is 37/2 of a kilogram in grams? Ans: 18500 Exercise: What is 3/25 of a tonne in kilograms? Ans: 120 Exercise: What is 1/5 of a day in minutes? Ans: 288 Exercise: How many decades are there in 829.6362 months? Ans: 6.913635 Exercise: How many millennia are there in 0.0820932 centuries? Ans: 0.00820932 Exercise: How many grams are there in 87.33637mg? Ans: 0.08733637 Exercise: How many grams are there in 25055.7 nanograms? Ans: 0.0000250557 Exercise: Convert 54953.83t to micrograms. Ans: 54953830000000000 Exercise: What is 0.0093673 millimeters in nanometers? Ans: 9367.3 Exercise: How many millilitres are there in five quarters of a litre? Ans: 1250 Exercise: How many months are there in 32966.3 centuries? Ans: 39559560 Exercise: How many litres are there in 54085.4ml? Ans: 54.0854 Exercise: How many micrometers are there in 0.1912046 nanometers? Ans: 0.0001912046 Exercise: How many years are there in 3/25 of a century? An
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numbers: is factor ------------------ Subject: Is 28 a factor of 5290712? Calculation: True Subject: Does 5 divide 8737250? Calculation: True Subject: Is 20 a factor of 3794780? Calculation: True Subject: Does 2 divide 479202? Calculation: True Subject: Does 6 divide 11972? Calculation: False Subject: Does 12 divide 816? Calculation: True Subject: Does 6 divide 164? Calculation: False Subject: Is 71 a factor of 970073? Calculation: True Subject: Is 67 a factor of 211050? Calculation: True Subject: Is 16 a factor of 9242412? Calculation: False Subject: Does 301 divide 614943? Calculation: True Subject: Is 2917200 a multiple of 935? Calculation: True Subject: Does 85 divide 92540516? Calculation: False Subject: Does 8 divide 34846824? Calculation: True Subject: Is 171966219 a multiple of 9? Calculation: False Subject: Is 40 a factor of 31800? Calculation: True Subject: Is 296 a factor of 139712? Calculation: True Subject: Does 45 divide 34784691? Calculation: False Subject: Does 5510 divide 495822860? Calculation: True Subject: Is 313898010 a multiple of 1110? Calculation: True Subject: Is 120209424 a multiple of 419? Calculation: True Subject: Is 7606 a multiple of 127? Calculation: False Subject: Does 20 divide 9759253? Calculation: False Subject: Does 459 divide 190026? Calculation: True Subject: Does 83 divide 162182? Calculation: True Subject: Is 11 a factor of 9218418? Calculation: True Subject: Is 52022 a multiple of 4? Calculation: False Subject: Is 487 a factor of 249030419? Calculation: False Subject: Does 61 divide 562359? Calculation: True Subject: Does 160 divide 69124960? Calculation: True Subject: Does 5 divide 304260? Calculation: True Subject: Is 7649 a factor of 5829142271? Calculation: True Subject: Is 2021 a multiple of 71? Calculation: False Subject: Does 891 divide 1006613? Calculation: False Subject: Does 12 divide 1722851616? Calculation: True Subject: Is 18924 a multiple of 19? Calculation: True Subject: Is 1911534478 a multiple of 74? Calcula
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measurement: time ----------------- Prompt: What is 401 minutes before 12:43 PM? Gives: 6:02 AM Prompt: How many minutes are there between 4:45 PM and 4:05 AM? Gives: 680 Prompt: How many minutes are there between 8:23 AM and 1:55 PM? Gives: 332 Prompt: How many minutes are there between 11:29 PM and 5:29 AM? Gives: 360 Prompt: What is 636 minutes after 6:00 AM? Gives: 4:36 PM Prompt: What is 289 minutes after 4:48 PM? Gives: 9:37 PM Prompt: How many minutes are there between 3:41 AM and 5:47 AM? Gives: 126 Prompt: How many minutes are there between 10:22 PM and 12:06 AM? Gives: 104 Prompt: How many minutes are there between 9:20 AM and 6:33 PM? Gives: 553 Prompt: How many minutes are there between 12:34 PM and 10:19 PM? Gives: 585 Prompt: How many minutes are there between 7:50 PM and 5:08 AM? Gives: 558 Prompt: How many minutes are there between 4:20 PM and 6:58 PM? Gives: 158 Prompt: How many minutes are there between 2:14 AM and 7:59 AM? Gives: 345 Prompt: What is 599 minutes after 5:26 AM? Gives: 3:25 PM Prompt: How many minutes are there between 12:37 PM and 9:54 PM? Gives: 557 Prompt: How many minutes are there between 7:12 AM and 12:03 PM? Gives: 291 Prompt: What is 490 minutes before 2:34 AM? Gives: 6:24 PM Prompt: How many minutes are there between 3:07 PM and 7:11 PM? Gives: 244 Prompt: How many minutes are there between 7:01 AM and 8:43 AM? Gives: 102 Prompt: What is 128 minutes after 1:13 PM? Gives: 3:21 PM Prompt: How many minutes are there between 7:58 AM and 6:09 PM? Gives: 611 Prompt: What is 203 minutes before 5:39 PM? Gives: 2:16 PM Prompt: What is 525 minutes after 5:26 PM? Gives: 2:11 AM Prompt: What is 236 minutes before 9:09 AM? Gives: 5:13 AM Prompt: What is 609 minutes after 8:03 AM? Gives: 6:12 PM Prompt: How many minutes are there between 8:31 PM and 1:08 AM? Gives: 277 Prompt: What is 250 minutes after 12:04 AM? Gives: 4:14 AM Prompt: What is 184 minutes after 2:05 PM? Gives: 5:09 PM Prompt: What is 539 minutes after 7:02 PM? Gives: 4:01
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probability: swr p level set ---------------------------- Given: What is prob of picking 1 w, 1 e, and 1 i when three letters picked without replacement from {i: 6, e: 1, w: 1, z: 11}? Sol: 2/323 Given: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {a: 5, c: 2, j: 4, i: 1, e: 2}. Sol: 8/91 Given: What is prob of picking 3 j and 1 d when four letters picked without replacement from {j: 4, d: 2}? Sol: 8/15 Given: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from tvhsllb. Sol: 1/21 Given: Three letters picked without replacement from {s: 3, m: 1}. Give prob of picking 1 m and 2 s. Sol: 3/4 Given: Calculate prob of picking 2 r when two letters picked without replacement from {r: 7, w: 3, n: 2, v: 5}. Sol: 21/136 Given: Four letters picked without replacement from hhhggghhhh. Give prob of picking 2 h and 2 g. Sol: 3/10 Given: Three letters picked without replacement from {s: 4, o: 1, k: 4, i: 2}. Give prob of picking 1 o, 1 i, and 1 k. Sol: 8/165 Given: What is prob of picking 1 z and 1 m when two letters picked without replacement from {t: 1, m: 2, z: 1, d: 1, r: 2, a: 2}? Sol: 1/18 Given: Three letters picked without replacement from kkkffkffffkf. What is prob of picking 1 f and 2 k? Sol: 7/22 Given: Two letters picked without replacement from {w: 7, j: 8, m: 3}. Give prob of picking 1 w and 1 j. Sol: 56/153 Given: Three letters picked without replacement from htfffffhufffftfffft. What is prob of picking 1 f and 2 t? Sol: 13/323 Given: What is prob of picking 2 f when two letters picked without replacement from {p: 7, f: 7}? Sol: 3/13 Given: What is prob of picking 1 o, 2 p, and 1 g when four letters picked without replacement from {o: 2, p: 5, w: 1, g: 1, j: 3}? Sol: 4/99 Given: Four letters picked without replacement from {y: 6, h: 7}. Give prob of picking 3 h and 1 y. Sol: 42/143 Given: Four letters picked without replacement from jljmjam. What is prob of picking 1 l, 1 a, and 2 m? Sol: 1/
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numbers: is factor ------------------ Qn: Does 108 divide 8864302? Conclusion: False Qn: Is 735 a multiple of 21? Conclusion: True Qn: Is 8 a factor of 4911? Conclusion: False Qn: Is 55018040 a multiple of 70? Conclusion: True Qn: Does 57 divide 14649? Conclusion: True Qn: Is 26 a factor of 46511010? Conclusion: True Qn: Is 208 a factor of 356720? Conclusion: True Qn: Is 133022 a multiple of 738? Conclusion: False Qn: Is 61208 a multiple of 14? Conclusion: True Qn: Is 69850304 a multiple of 13? Conclusion: False Qn: Does 7 divide 85122? Conclusion: False Qn: Does 99 divide 7427574? Conclusion: True Qn: Does 7 divide 101004953? Conclusion: True Qn: Does 14 divide 92114428? Conclusion: True Qn: Is 26 a factor of 492982828? Conclusion: True Qn: Does 479 divide 77561596? Conclusion: True Qn: Does 1137 divide 760394449? Conclusion: False Qn: Is 213 a factor of 55785? Conclusion: False Qn: Is 2216 a multiple of 34? Conclusion: False Qn: Is 111510 a multiple of 10? Conclusion: True Qn: Is 1703 a multiple of 46? Conclusion: False Qn: Is 15 a factor of 27604440? Conclusion: True Qn: Is 37 a factor of 9620? Conclusion: True Qn: Is 75437 a multiple of 28? Conclusion: False Qn: Is 8 a factor of 16824? Conclusion: True Qn: Is 38406 a multiple of 222? Conclusion: True Qn: Is 43893 a multiple of 108? Conclusion: False Qn: Is 225567594 a multiple of 42? Conclusion: True Qn: Does 22 divide 48307028? Conclusion: True Qn: Does 48 divide 13604? Conclusion: False Qn: Is 5633144 a multiple of 44? Conclusion: True Qn: Is 409667512 a multiple of 152? Conclusion: True Qn: Is 19 a factor of 12541? Conclusion: False Qn: Is 142950 a multiple of 56? Conclusion: False Qn: Does 6 divide 328? Conclusion: False Qn: Does 9 divide 137079? Conclusion: True Qn: Does 485 divide 108054605? Conclusion: True Qn: Does 64 divide 1891? Conclusion: False Qn: Does 24 divide 25565914? Conclusion: False Qn: Does 184 divide 18994961? Conclusion: False Qn: Is 182314819 a multiple of 1592? Conclusion: False Qn: Is 1
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numbers: div remainder ---------------------- Q=: What is the remainder when 9825689 is divided by 166537? Sol: 6 Q=: Calculate the remainder when 619 is divided by 182. Sol: 73 Q=: What is the remainder when 3874 is divided by 1285? Sol: 19 Q=: Calculate the remainder when 336 is divided by 47. Sol: 7 Q=: What is the remainder when 690 is divided by 230? Sol: 0 Q=: Calculate the remainder when 90248089 is divided by 4460. Sol: 4449 Q=: Calculate the remainder when 117592 is divided by 659. Sol: 290 Q=: What is the remainder when 279 is divided by 86? Sol: 21 Q=: Calculate the remainder when 407 is divided by 74. Sol: 37 Q=: What is the remainder when 8489 is divided by 194? Sol: 147 Q=: Calculate the remainder when 653 is divided by 47. Sol: 42 Q=: Calculate the remainder when 16706 is divided by 72. Sol: 2 Q=: What is the remainder when 25295 is divided by 2446? Sol: 835 Q=: What is the remainder when 88626 is divided by 358? Sol: 200 Q=: What is the remainder when 6870978 is divided by 687097? Sol: 8 Q=: What is the remainder when 275355709 is divided by 3578? Sol: 3563 Q=: Calculate the remainder when 69302518 is divided by 1335. Sol: 1333 Q=: What is the remainder when 273 is divided by 3? Sol: 0 Q=: What is the remainder when 86 is divided by 45? Sol: 41 Q=: Calculate the remainder when 1428177 is divided by 668. Sol: 661 Q=: Calculate the remainder when 1358780 is divided by 2773. Sol: 10 Q=: Calculate the remainder when 7 is divided by 2. Sol: 1 Q=: Calculate the remainder when 190222 is divided by 94895. Sol: 432 Q=: Calculate the remainder when 63 is divided by 2. Sol: 1 Q=: Calculate the remainder when 94313 is divided by 453. Sol: 89 Q=: What is the remainder when 285699 is divided by 23? Sol: 16 Q=: Calculate the remainder when 295 is divided by 150. Sol: 145 Q=: What is the remainder when 249 is divided by 50? Sol: 49 Q=: Calculate the remainder when 4959 is divided by 2468. Sol: 23 Q=: Calculate the remainder when 64103 is divided by 16022. Sol: 15 Q=
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numbers: place value -------------------- Q: What is the tens digit of 169535116? Response: 1 Q: What is the units digit of 71220323? Response: 3 Q: What is the units digit of 6829127? Response: 7 Q: What is the tens digit of 521? Response: 2 Q: What is the tens digit of 119116516? Response: 1 Q: What is the hundreds digit of 1306? Response: 3 Q: What is the hundred thousands digit of 107076? Response: 1 Q: What is the millions digit of 972766529? Response: 2 Q: What is the hundreds digit of 80073741? Response: 7 Q: What is the hundreds digit of 198514? Response: 5 Q: What is the hundred thousands digit of 41254973? Response: 2 Q: What is the millions digit of 26143319? Response: 6 Q: What is the ten thousands digit of 245362? Response: 4 Q: What is the thousands digit of 912446? Response: 2 Q: What is the tens digit of 29158? Response: 5 Q: What is the ten thousands digit of 30900? Response: 3 Q: What is the ten millions digit of 91762145? Response: 9 Q: What is the units digit of 514063527? Response: 7 Q: What is the ten thousands digit of 612220? Response: 1 Q: What is the ten millions digit of 102016093? Response: 0 Q: What is the tens digit of 37549? Response: 4 Q: What is the hundred thousands digit of 7348175? Response: 3 Q: What is the hundreds digit of 4575? Response: 5 Q: What is the tens digit of 17512? Response: 1 Q: What is the hundreds digit of 982? Response: 9 Q: What is the hundred thousands digit of 70267809? Response: 2 Q: What is the hundreds digit of 14143? Response: 1 Q: What is the hundred thousands digit of 9889953? Response: 8 Q: What is the units digit of 661473? Response: 3 Q: What is the hundreds digit of 805622? Response: 6 Q: What is the ten thousands digit of 13155? Response: 1 Q: What is the hundred thousands digit of 103502? Response: 1 Q: What is the thousands digit of 9192004? Response: 2 Q: What is the tens digit of 63713? Response: 1 Q: What is the millions digit of 114692573? Response: 4 Q: What is the millions digit of 83689057?
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probability: swr p level set ---------------------------- Puzzle: What is prob of picking 1 s and 1 p when two letters picked without replacement from {c: 3, s: 1, p: 3, r: 5}? Sol: 1/22 Puzzle: What is prob of picking 3 r and 1 i when four letters picked without replacement from rirmr? Sol: 1/5 Puzzle: Calculate prob of picking 2 z when two letters picked without replacement from qztxzxqxxxxt. Sol: 1/66 Puzzle: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from mnrknnrrnannnrm. Sol: 2/15 Puzzle: What is prob of picking 1 u, 1 o, and 2 p when four letters picked without replacement from {u: 2, y: 4, v: 2, o: 1, p: 7}? Sol: 3/130 Puzzle: Three letters picked without replacement from wwrcwcwcrcww. Give prob of picking 2 w and 1 c. Sol: 3/11 Puzzle: Four letters picked without replacement from aqqaqaaqaaaaqaaaaa. What is prob of picking 1 q and 3 a? Sol: 143/306 Puzzle: Four letters picked without replacement from {o: 4, i: 1, k: 3}. What is prob of picking 2 o, 1 i, and 1 k? Sol: 9/35 Puzzle: What is prob of picking 2 r when two letters picked without replacement from {r: 4, t: 2}? Sol: 2/5 Puzzle: Calculate prob of picking 2 s and 1 x when three letters picked without replacement from {s: 3, x: 1, i: 1}. Sol: 3/10 Puzzle: Two letters picked without replacement from eknknbennnnkkun. What is prob of picking 1 u and 1 e? Sol: 2/105 Puzzle: Two letters picked without replacement from {r: 5, b: 3}. What is prob of picking 2 b? Sol: 3/28 Puzzle: What is prob of picking 2 s and 2 b when four letters picked without replacement from {s: 14, b: 4}? Sol: 91/510 Puzzle: Two letters picked without replacement from {p: 4, s: 2, g: 4, z: 1, i: 1, l: 3}. Give prob of picking 2 p. Sol: 2/35 Puzzle: What is prob of picking 1 m and 3 d when four letters picked without replacement from {d: 13, m: 5}? Sol: 143/306 Puzzle: Four letters picked without replacement from {g: 4, m: 2, y: 2, b: 2}. What is prob of picking 1 b, 2 m, and 1 g? Sol: 4/105 Puzzle:
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probability: swr p level set ---------------------------- Situation: What is prob of picking 1 a and 1 c when two letters picked without replacement from sabbabc? Answer: 2/21 Situation: What is prob of picking 1 y and 1 b when two letters picked without replacement from hvebvdyb? Answer: 1/14 Situation: Four letters picked without replacement from {x: 3, o: 11}. What is prob of picking 2 o and 2 x? Answer: 15/91 Situation: Four letters picked without replacement from {w: 9}. Give prob of picking 4 w. Answer: 1 Situation: Calculate prob of picking 2 b, 1 v, and 1 u when four letters picked without replacement from buuvb. Answer: 2/5 Situation: Four letters picked without replacement from {h: 1, d: 2, p: 1, t: 2, n: 2}. Give prob of picking 1 p, 1 h, 1 n, and 1 t. Answer: 2/35 Situation: Two letters picked without replacement from {l: 4, s: 2, k: 3, t: 8, v: 2}. What is prob of picking 1 s and 1 l? Answer: 8/171 Situation: What is prob of picking 2 f when two letters picked without replacement from {v: 7, f: 3}? Answer: 1/15 Situation: What is prob of picking 1 f and 1 z when two letters picked without replacement from {s: 10, d: 3, b: 2, z: 1, f: 3}? Answer: 1/57 Situation: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from xzfgc. Answer: 1/10 Situation: Four letters picked without replacement from mmmcmc. What is prob of picking 4 m? Answer: 1/15 Situation: Two letters picked without replacement from tttrtrrrrrrerrxe. Give prob of picking 1 r and 1 e. Answer: 3/20 Situation: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {r: 2, m: 2, x: 1}. Answer: 1/5 Situation: Two letters picked without replacement from fhfffhffffffhf. What is prob of picking 1 h and 1 f? Answer: 33/91 Situation: What is prob of picking 1 t and 2 p when three letters picked without replacement from upupppstspupppppu? Answer: 9/136 Situation: Two letters picked without replacement from twcw. Give prob of picking 2 w. Answ
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numbers: is prime ----------------- Case: Is 388514897 composite? Math A: True Case: Is 17503 composite? Math A: True Case: Is 320264178973 a composite number? Math A: False Case: Is 682867 a composite number? Math A: True Case: Is 46199 prime? Math A: True Case: Is 20701 prime? Math A: False Case: Is 393293297 a prime number? Math A: True Case: Is 404773 a composite number? Math A: False Case: Is 46929 a prime number? Math A: False Case: Is 5866709 a composite number? Math A: False Case: Is 188350663 a prime number? Math A: True Case: Is 128827 composite? Math A: True Case: Is 3494919301 a composite number? Math A: False Case: Is 2939 prime? Math A: True Case: Is 4490591 a composite number? Math A: True Case: Is 49855969 prime? Math A: False Case: Is 2716928477 a prime number? Math A: False Case: Is 526675442 a prime number? Math A: False Case: Is 186211 a composite number? Math A: False Case: Is 189174527 a composite number? Math A: False Case: Is 2259919 a composite number? Math A: False Case: Is 8128403 a composite number? Math A: False Case: Is 10359197 composite? Math A: False Case: Is 10541 a composite number? Math A: True Case: Is 671624327 a composite number? Math A: True Case: Is 311774 prime? Math A: False Case: Is 3775461929 prime? Math A: True Case: Is 9521 prime? Math A: True Case: Is 2874803 composite? Math A: True Case: Is 45465436979 a composite number? Math A: True Case: Is 15008731 a composite number? Math A: False Case: Is 2595289 prime? Math A: False Case: Is 1081 composite? Math A: True Case: Is 3787627 composite? Math A: False Case: Is 72859 a prime number? Math A: True Case: Is 29924423 a composite number? Math A: True Case: Is 3119 a prime number? Math A: True Case: Is 11724809 composite? Math A: False Case: Is 2716451 prime? Math A: True Case: Is 1658162573 composite? Math A: True Case: Is 46575530929 a composite number? Math A: False Case: Is 8524699 prime? Math A: True Case: Is 102993716473 prime? Math A: True Case: Is 73935827 prime? Mat
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numbers: div remainder ---------------------- Math Problem: Calculate the remainder when 1635 is divided by 13. A.: 10 Math Problem: What is the remainder when 5300 is divided by 9? A.: 8 Math Problem: Calculate the remainder when 1381286 is divided by 46. A.: 44 Math Problem: Calculate the remainder when 9519732 is divided by 980. A.: 12 Math Problem: Calculate the remainder when 72796 is divided by 7219. A.: 606 Math Problem: What is the remainder when 2601829 is divided by 370? A.: 359 Math Problem: Calculate the remainder when 465 is divided by 67. A.: 63 Math Problem: What is the remainder when 2452842 is divided by 182? A.: 28 Math Problem: What is the remainder when 370128 is divided by 90? A.: 48 Math Problem: What is the remainder when 97203 is divided by 675? A.: 3 Math Problem: Calculate the remainder when 6210 is divided by 19. A.: 16 Math Problem: What is the remainder when 475 is divided by 149? A.: 28 Math Problem: What is the remainder when 12205 is divided by 231? A.: 193 Math Problem: What is the remainder when 6695 is divided by 26? A.: 13 Math Problem: Calculate the remainder when 321181 is divided by 1333. A.: 1261 Math Problem: Calculate the remainder when 2542 is divided by 639. A.: 625 Math Problem: Calculate the remainder when 73033 is divided by 62. A.: 59 Math Problem: What is the remainder when 246 is divided by 12? A.: 6 Math Problem: What is the remainder when 2147 is divided by 1071? A.: 5 Math Problem: Calculate the remainder when 219 is divided by 37. A.: 34 Math Problem: Calculate the remainder when 169329 is divided by 81232. A.: 6865 Math Problem: What is the remainder when 3422 is divided by 114? A.: 2 Math Problem: Calculate the remainder when 23 is divided by 8. A.: 7 Math Problem: What is the remainder when 3441 is divided by 25? A.: 16 Math Problem: What is the remainder when 41008 is divided by 23? A.: 22 Math Problem: What is the remainder when 237 is divided by 185? A.: 52 Math Problem: What is the remainder when 1054036 i
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numbers: div remainder ---------------------- Example: What is the remainder when 16382547 is divided by 135? Reply: 27 Example: What is the remainder when 18555564 is divided by 205? Reply: 194 Example: What is the remainder when 857583 is divided by 537? Reply: 531 Example: Calculate the remainder when 1747 is divided by 46. Reply: 45 Example: Calculate the remainder when 146 is divided by 25. Reply: 21 Example: What is the remainder when 470429 is divided by 470396? Reply: 33 Example: What is the remainder when 82945 is divided by 4116? Reply: 625 Example: Calculate the remainder when 7522338 is divided by 417904. Reply: 66 Example: What is the remainder when 339 is divided by 58? Reply: 49 Example: What is the remainder when 373 is divided by 19? Reply: 12 Example: Calculate the remainder when 51019 is divided by 277. Reply: 51 Example: Calculate the remainder when 15446 is divided by 964. Reply: 22 Example: Calculate the remainder when 6545 is divided by 115. Reply: 105 Example: Calculate the remainder when 33374 is divided by 8. Reply: 6 Example: Calculate the remainder when 1000 is divided by 92. Reply: 80 Example: What is the remainder when 156024 is divided by 989? Reply: 751 Example: What is the remainder when 308121 is divided by 87? Reply: 54 Example: Calculate the remainder when 583481 is divided by 166. Reply: 157 Example: What is the remainder when 482 is divided by 7? Reply: 6 Example: What is the remainder when 33152 is divided by 3197? Reply: 1182 Example: What is the remainder when 11380 is divided by 345? Reply: 340 Example: Calculate the remainder when 215 is divided by 20. Reply: 15 Example: What is the remainder when 29325 is divided by 13? Reply: 10 Example: What is the remainder when 11275 is divided by 3748? Reply: 31 Example: What is the remainder when 5507 is divided by 220? Reply: 7 Example: What is the remainder when 11814 is divided by 230? Reply: 84 Example: Calculate the remainder when 187 is divided by 60. Reply: 7 Example: What is
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numbers: is prime ----------------- Task: Is 313507 a prime number? Result: True Task: Is 1015517 a prime number? Result: True Task: Is 108245671 a composite number? Result: False Task: Is 1603853 a prime number? Result: True Task: Is 225779 a prime number? Result: True Task: Is 63914 composite? Result: True Task: Is 292629779 a composite number? Result: True Task: Is 1227671 a composite number? Result: True Task: Is 3517511 a prime number? Result: False Task: Is 255138055 a composite number? Result: True Task: Is 843769 composite? Result: True Task: Is 138528523027 composite? Result: False Task: Is 369911 prime? Result: False Task: Is 95097407 a prime number? Result: False Task: Is 7603 a composite number? Result: False Task: Is 9223485101 prime? Result: True Task: Is 6965213 a prime number? Result: False Task: Is 70273344593 prime? Result: True Task: Is 595554841 prime? Result: False Task: Is 36391249 composite? Result: False Task: Is 9413 a composite number? Result: False Task: Is 9037296161 composite? Result: True Task: Is 5957380369 a composite number? Result: False Task: Is 20477 a prime number? Result: True Task: Is 139552370273 composite? Result: False Task: Is 5348935621 a composite number? Result: False Task: Is 476417161 composite? Result: True Task: Is 33077463 prime? Result: False Task: Is 359094863 a prime number? Result: True Task: Is 117677 composite? Result: True Task: Is 48260359 composite? Result: True Task: Is 28270757 composite? Result: False Task: Is 11569868197 a prime number? Result: False Task: Is 934657261 a composite number? Result: True Task: Is 22491431671 prime? Result: True Task: Is 65755811 prime? Result: False Task: Is 289937 a composite number? Result: False Task: Is 24450089 a prime number? Result: True Task: Is 71594931 a composite number? Result: True Task: Is 1029742789 prime? Result: False Task: Is 674 composite? Result: True Task: Is 1363 a composite number? Result: True Task: Is 410183 prime? Result: False Task: Is 691 prime?
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probability: swr p level set ---------------------------- Subject: Four letters picked without replacement from {e: 3, f: 9, g: 2, o: 1, j: 4}. What is prob of picking 2 j and 2 e? Answer: 3/646 Subject: Three letters picked without replacement from xeexxxaxxxaaeaxexxx. Give prob of picking 1 x and 2 e. Answer: 22/323 Subject: Four letters picked without replacement from abhbbbnhna. What is prob of picking 2 n and 2 h? Answer: 1/210 Subject: Two letters picked without replacement from {i: 3, z: 2}. What is prob of picking 1 z and 1 i? Answer: 3/5 Subject: Three letters picked without replacement from {e: 2, v: 1, d: 1, s: 3, w: 5}. What is prob of picking 1 v, 1 e, and 1 s? Answer: 3/110 Subject: What is prob of picking 3 v when three letters picked without replacement from {v: 10}? Answer: 1 Subject: Three letters picked without replacement from {d: 7, q: 4}. What is prob of picking 1 q and 2 d? Answer: 28/55 Subject: What is prob of picking 1 i, 1 x, and 2 u when four letters picked without replacement from {j: 4, x: 2, u: 3, i: 1, m: 4}? Answer: 6/1001 Subject: Three letters picked without replacement from {q: 4, k: 6}. What is prob of picking 3 q? Answer: 1/30 Subject: Four letters picked without replacement from {q: 1, s: 5, j: 12}. Give prob of picking 3 j and 1 q. Answer: 11/153 Subject: Two letters picked without replacement from lullllulalla. What is prob of picking 1 l and 1 a? Answer: 8/33 Subject: Calculate prob of picking 2 w and 1 a when three letters picked without replacement from {w: 2, a: 1, z: 1, o: 3}. Answer: 1/35 Subject: Three letters picked without replacement from {f: 3}. Give prob of picking 3 f. Answer: 1 Subject: Two letters picked without replacement from zzzzzzzzz. Give prob of picking 2 z. Answer: 1 Subject: Two letters picked without replacement from {x: 4, k: 1, t: 8}. Give prob of picking 1 k and 1 t. Answer: 4/39 Subject: Calculate prob of picking 4 l when four letters picked without replacement from yolatoottloytollolt. Answer: 5/
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numbers: place value -------------------- Item: What is the hundred thousands digit of 190407? Compute: 1 Item: What is the billions digit of 2053160126? Compute: 2 Item: What is the hundreds digit of 605? Compute: 6 Item: What is the tens digit of 2665923? Compute: 2 Item: What is the tens digit of 4092819? Compute: 1 Item: What is the tens digit of 76452? Compute: 5 Item: What is the tens digit of 802008181? Compute: 8 Item: What is the thousands digit of 6756? Compute: 6 Item: What is the tens digit of 57237442? Compute: 4 Item: What is the hundreds digit of 3828894? Compute: 8 Item: What is the units digit of 352898585? Compute: 5 Item: What is the thousands digit of 337155? Compute: 7 Item: What is the hundreds digit of 11609830? Compute: 8 Item: What is the units digit of 132979? Compute: 9 Item: What is the hundreds digit of 134995? Compute: 9 Item: What is the hundred thousands digit of 210648557? Compute: 6 Item: What is the hundreds digit of 42544? Compute: 5 Item: What is the hundreds digit of 77136? Compute: 1 Item: What is the hundreds digit of 9764? Compute: 7 Item: What is the tens digit of 9587? Compute: 8 Item: What is the tens digit of 28165? Compute: 6 Item: What is the ten millions digit of 64264619? Compute: 6 Item: What is the tens digit of 21308320? Compute: 2 Item: What is the ten thousands digit of 304276? Compute: 0 Item: What is the tens digit of 36883? Compute: 8 Item: What is the ten thousands digit of 1451692? Compute: 5 Item: What is the hundred thousands digit of 133872? Compute: 1 Item: What is the hundreds digit of 25617? Compute: 6 Item: What is the thousands digit of 4475? Compute: 4 Item: What is the hundreds digit of 737370500? Compute: 5 Item: What is the tens digit of 173109? Compute: 0 Item: What is the units digit of 147862? Compute: 2 Item: What is the hundreds digit of 1754? Compute: 7 Item: What is the units digit of 84424887? Compute: 7 Item: What is the ten thousands digit of 6733652? Compute: 3 Item: What is the hundre
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numbers: is prime ----------------- Scenario: Is 14656463 prime? Finding: True Scenario: Is 491422 a composite number? Finding: True Scenario: Is 6299 a prime number? Finding: True Scenario: Is 299283 prime? Finding: False Scenario: Is 1186556911 a composite number? Finding: False Scenario: Is 97154623 a composite number? Finding: True Scenario: Is 3323159 a prime number? Finding: False Scenario: Is 2298071 a prime number? Finding: True Scenario: Is 17987773 prime? Finding: True Scenario: Is 21257547673 a composite number? Finding: False Scenario: Is 67843 prime? Finding: True Scenario: Is 23839503847 a composite number? Finding: False Scenario: Is 480837546897 a prime number? Finding: False Scenario: Is 13706664221 composite? Finding: True Scenario: Is 76161583 a composite number? Finding: True Scenario: Is 18797032549 composite? Finding: True Scenario: Is 17159 prime? Finding: True Scenario: Is 299346017 composite? Finding: True Scenario: Is 312901 prime? Finding: False Scenario: Is 1162596431 a composite number? Finding: False Scenario: Is 909852809 a composite number? Finding: True Scenario: Is 544070933 a composite number? Finding: True Scenario: Is 744402413 prime? Finding: False Scenario: Is 11089 a prime number? Finding: False Scenario: Is 1588881079 prime? Finding: True Scenario: Is 6289 a prime number? Finding: False Scenario: Is 67002443 prime? Finding: False Scenario: Is 3047154067 composite? Finding: False Scenario: Is 18611 a composite number? Finding: True Scenario: Is 9854900453 prime? Finding: False Scenario: Is 2203 a prime number? Finding: True Scenario: Is 2193804697 a prime number? Finding: False Scenario: Is 351697 prime? Finding: False Scenario: Is 1073017 a prime number? Finding: False Scenario: Is 1667161103 composite? Finding: True Scenario: Is 23813 prime? Finding: True Scenario: Is 9891202351 a prime number? Finding: True Scenario: Is 493 composite? Finding: True Scenario: Is 12188343169 prime? Finding: False Scenario: Is 37357918777 comp
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numbers: gcd ------------ Given: Calculate the highest common factor of 12280 and 1779065. Solution: 1535 Given: Calculate the greatest common divisor of 7584 and 576. Solution: 96 Given: Calculate the highest common factor of 78 and 26. Solution: 26 Given: Calculate the highest common divisor of 361 and 219696297. Solution: 361 Given: Calculate the highest common factor of 156 and 444. Solution: 12 Given: What is the highest common divisor of 140 and 160? Solution: 20 Given: What is the highest common divisor of 1307136 and 5152? Solution: 736 Given: What is the highest common factor of 73631 and 25263050? Solution: 2539 Given: What is the highest common divisor of 128 and 1? Solution: 1 Given: What is the highest common factor of 24 and 165? Solution: 3 Given: Calculate the greatest common factor of 251 and 68021. Solution: 251 Given: Calculate the greatest common factor of 10269 and 13482. Solution: 63 Given: What is the highest common factor of 71159 and 55? Solution: 11 Given: What is the highest common divisor of 5473 and 1268473? Solution: 421 Given: What is the greatest common divisor of 56 and 69944? Solution: 56 Given: What is the highest common divisor of 1568 and 28? Solution: 28 Given: What is the greatest common factor of 19745 and 22? Solution: 11 Given: Calculate the highest common factor of 184 and 140. Solution: 4 Given: Calculate the highest common factor of 9 and 30. Solution: 3 Given: What is the greatest common factor of 117 and 45? Solution: 9 Given: What is the greatest common factor of 13924 and 98471? Solution: 59 Given: Calculate the greatest common divisor of 6876 and 36. Solution: 36 Given: What is the greatest common factor of 83 and 1? Solution: 1 Given: Calculate the highest common factor of 12075 and 165. Solution: 15 Given: What is the greatest common factor of 64 and 192? Solution: 64 Given: Calculate the highest common factor of 34498877 and 1519. Solution: 217 Given: Calculate the highest common factor of 88 and 616. Solution: 88
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numbers: is prime ----------------- Exercise: Is 322810723 a prime number? Workthrough: True Exercise: Is 143463767 a prime number? Workthrough: False Exercise: Is 27181519 a composite number? Workthrough: True Exercise: Is 41019241 composite? Workthrough: False Exercise: Is 177418697 a composite number? Workthrough: True Exercise: Is 1801517 composite? Workthrough: False Exercise: Is 104771 prime? Workthrough: False Exercise: Is 530969 a composite number? Workthrough: False Exercise: Is 301255 a composite number? Workthrough: True Exercise: Is 112572539 composite? Workthrough: False Exercise: Is 1489963 a prime number? Workthrough: False Exercise: Is 8688028121 a prime number? Workthrough: False Exercise: Is 2290369 composite? Workthrough: False Exercise: Is 7627485451 a composite number? Workthrough: False Exercise: Is 24876800293 a prime number? Workthrough: True Exercise: Is 57491568121 a composite number? Workthrough: True Exercise: Is 119615151787 a composite number? Workthrough: False Exercise: Is 10167151 a prime number? Workthrough: True Exercise: Is 3526638113 a prime number? Workthrough: True Exercise: Is 627561553 a prime number? Workthrough: True Exercise: Is 11015809159 composite? Workthrough: True Exercise: Is 851 prime? Workthrough: False Exercise: Is 6470632673 prime? Workthrough: False Exercise: Is 16232509 composite? Workthrough: False Exercise: Is 321991 prime? Workthrough: True Exercise: Is 635 composite? Workthrough: True Exercise: Is 5333 a prime number? Workthrough: True Exercise: Is 11443161337 prime? Workthrough: True Exercise: Is 1116743 prime? Workthrough: True Exercise: Is 32811735127 composite? Workthrough: False Exercise: Is 4106262379 composite? Workthrough: False Exercise: Is 9329 a prime number? Workthrough: False Exercise: Is 4440059693 a composite number? Workthrough: False Exercise: Is 23898903887 a composite number? Workthrough: False Exercise: Is 6716039453 composite? Workthrough: False Exercise: Is 4917877357 composite? Workth
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numbers: gcd ------------ Math Problem: Calculate the highest common divisor of 1019235 and 30. Answer: 15 Math Problem: Calculate the highest common divisor of 915 and 17568. Answer: 183 Math Problem: What is the highest common divisor of 131 and 5371? Answer: 131 Math Problem: What is the greatest common divisor of 636954 and 1410112? Answer: 4006 Math Problem: Calculate the highest common factor of 54 and 276694650. Answer: 54 Math Problem: Calculate the highest common factor of 113014 and 6538. Answer: 934 Math Problem: What is the highest common factor of 556 and 695? Answer: 139 Math Problem: What is the highest common factor of 2189880 and 75320? Answer: 280 Math Problem: Calculate the highest common divisor of 676 and 52. Answer: 52 Math Problem: Calculate the greatest common divisor of 807 and 52985199. Answer: 807 Math Problem: Calculate the highest common factor of 22 and 202994. Answer: 22 Math Problem: What is the highest common divisor of 3336812 and 188? Answer: 188 Math Problem: Calculate the highest common divisor of 85 and 340. Answer: 85 Math Problem: Calculate the highest common divisor of 84367 and 956. Answer: 239 Math Problem: What is the greatest common factor of 99 and 1584? Answer: 99 Math Problem: What is the greatest common divisor of 363 and 9? Answer: 3 Math Problem: Calculate the greatest common factor of 20 and 2780. Answer: 20 Math Problem: Calculate the highest common divisor of 74150 and 600. Answer: 50 Math Problem: Calculate the highest common divisor of 48757230 and 95. Answer: 95 Math Problem: What is the greatest common factor of 1694 and 40898? Answer: 242 Math Problem: Calculate the highest common divisor of 158 and 1343. Answer: 79 Math Problem: What is the highest common divisor of 1269 and 1551? Answer: 141 Math Problem: Calculate the highest common factor of 102 and 24. Answer: 6 Math Problem: What is the greatest common divisor of 168306 and 11226? Answer: 6 Math Problem: What is the highest common factor of 51877864 an
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numbers: is factor ------------------ Conundrum: Does 99 divide 963088533? Sol: True Conundrum: Is 114 a factor of 31389330? Sol: True Conundrum: Is 961 a factor of 9023790? Sol: True Conundrum: Is 12 a factor of 217103765? Sol: False Conundrum: Is 28130891 a multiple of 6? Sol: False Conundrum: Is 153 a multiple of 23? Sol: False Conundrum: Is 280 a factor of 59606? Sol: False Conundrum: Does 12 divide 950796? Sol: True Conundrum: Is 900531 a multiple of 131? Sol: False Conundrum: Is 3888 a multiple of 54? Sol: True Conundrum: Does 14 divide 672? Sol: True Conundrum: Is 1235805088 a multiple of 161? Sol: True Conundrum: Is 41 a factor of 5106746? Sol: False Conundrum: Is 7 a factor of 47431509? Sol: False Conundrum: Is 187 a factor of 105468? Sol: True Conundrum: Is 9 a factor of 2211849? Sol: True Conundrum: Does 16 divide 2306526? Sol: False Conundrum: Is 24156 a multiple of 13? Sol: False Conundrum: Is 7 a factor of 349146? Sol: True Conundrum: Is 1053617 a multiple of 14? Sol: False Conundrum: Is 5099342 a multiple of 73? Sol: True Conundrum: Is 639 a factor of 1066491? Sol: True Conundrum: Is 774 a factor of 31085403? Sol: False Conundrum: Is 15 a factor of 780? Sol: True Conundrum: Is 2726 a multiple of 58? Sol: True Conundrum: Is 11 a factor of 6030510? Sol: False Conundrum: Does 85 divide 159120? Sol: True Conundrum: Is 101 a factor of 8868? Sol: False Conundrum: Is 82487 a multiple of 179? Sol: False Conundrum: Is 2464 a multiple of 28? Sol: True Conundrum: Is 989074 a multiple of 56? Sol: False Conundrum: Does 63 divide 369? Sol: False Conundrum: Does 42 divide 2338476? Sol: True Conundrum: Is 1817 a factor of 5768975? Sol: True Conundrum: Does 591 divide 18229544? Sol: False Conundrum: Is 167 a factor of 3006? Sol: True Conundrum: Is 162599 a multiple of 4? Sol: False Conundrum: Does 5 divide 7062680? Sol: True Conundrum: Is 1265344 a multiple of 19? Sol: False Conundrum: Is 9589 a multiple of 43? Sol: True Conundrum: Is 70 a factor of 6230? Sol: True Co
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probability: swr p level set ---------------------------- Qn: Calculate prob of picking 1 c and 3 x when four letters picked without replacement from ccxcxxxxw. Answer: 5/21 Qn: Calculate prob of picking 2 z when two letters picked without replacement from zzuzuuuuuuu. Answer: 3/55 Qn: Four letters picked without replacement from yyroykoorkyy. Give prob of picking 1 k and 3 y. Answer: 4/99 Qn: What is prob of picking 1 k and 1 x when two letters picked without replacement from kxoxikxxxxxxxi? Answer: 18/91 Qn: Calculate prob of picking 3 y and 1 a when four letters picked without replacement from {a: 1, w: 12, y: 6}. Answer: 5/969 Qn: Four letters picked without replacement from {z: 5, s: 5, a: 2, t: 3}. Give prob of picking 1 s, 1 z, 1 a, and 1 t. Answer: 10/91 Qn: Two letters picked without replacement from {p: 4, o: 3, l: 2}. Give prob of picking 1 o and 1 p. Answer: 1/3 Qn: Calculate prob of picking 1 j, 1 s, and 1 g when three letters picked without replacement from {j: 6, d: 7, g: 5, s: 1}. Answer: 10/323 Qn: Two letters picked without replacement from {d: 6, o: 8, f: 1}. What is prob of picking 1 f and 1 d? Answer: 2/35 Qn: Two letters picked without replacement from gbxgbgzggxaggb. What is prob of picking 2 x? Answer: 1/91 Qn: What is prob of picking 1 z, 1 j, and 2 g when four letters picked without replacement from {j: 3, z: 3, u: 1, g: 10, l: 3}? Answer: 27/323 Qn: Two letters picked without replacement from {o: 2, i: 4, v: 1, w: 3, x: 1, y: 1}. Give prob of picking 1 o and 1 i. Answer: 4/33 Qn: Calculate prob of picking 2 q and 1 b when three letters picked without replacement from bbbqqbbbbbqbbqbq. Answer: 11/56 Qn: What is prob of picking 1 y and 2 o when three letters picked without replacement from {y: 12, o: 3}? Answer: 36/455 Qn: Four letters picked without replacement from woqwooooowqw. What is prob of picking 2 o, 1 q, and 1 w? Answer: 8/33 Qn: Three letters picked without replacement from {r: 6, c: 2, w: 3, p: 2}. What is prob of picking 3 r? An
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probability: swr p sequence --------------------------- Math Q: Two letters picked without replacement from chj. What is prob of sequence jc? β†’: 1/6 Math Q: Calculate prob of sequence aala when four letters picked without replacement from {l: 7, a: 7}. β†’: 35/572 Math Q: Three letters picked without replacement from {z: 4, v: 7, t: 3}. What is prob of sequence zzz? β†’: 1/91 Math Q: Two letters picked without replacement from {h: 5}. Give prob of sequence hh. β†’: 1 Math Q: Four letters picked without replacement from {l: 4, s: 3}. What is prob of sequence slls? β†’: 3/35 Math Q: Calculate prob of sequence rkk when three letters picked without replacement from xrxxayxkk. β†’: 1/252 Math Q: Calculate prob of sequence wyyy when four letters picked without replacement from wyyyyyyyyyyyyyyyyyy. β†’: 1/19 Math Q: Four letters picked without replacement from rmemmmrd. Give prob of sequence mrmr. β†’: 1/70 Math Q: What is prob of sequence www when three letters picked without replacement from jwjwjjjwjjj? β†’: 1/165 Math Q: What is prob of sequence flsl when four letters picked without replacement from {s: 2, r: 3, j: 1, l: 4, f: 2}? β†’: 2/495 Math Q: Calculate prob of sequence iyei when four letters picked without replacement from {e: 2, i: 2, z: 8, y: 1, m: 1}. β†’: 1/6006 Math Q: What is prob of sequence eqc when three letters picked without replacement from {e: 1, c: 1, v: 1, t: 1, q: 1}? β†’: 1/60 Math Q: Three letters picked without replacement from {x: 1, y: 1, n: 1, l: 1, z: 1}. Give prob of sequence xnl. β†’: 1/60 Math Q: Two letters picked without replacement from {s: 4, y: 3, g: 1}. Give prob of sequence gs. β†’: 1/14 Math Q: What is prob of sequence ks when two letters picked without replacement from skzz? β†’: 1/12 Math Q: Four letters picked without replacement from {i: 6, m: 2}. What is prob of sequence mimi? β†’: 1/28 Math Q: What is prob of sequence pp when two letters picked without replacement from meypjgyp? β†’: 1/28 Math Q: What is prob of sequence virr when four letters picked wit
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numbers: is factor ------------------ Ask: Does 13 divide 14960525? Calculation: False Ask: Is 516697 a multiple of 1585? Calculation: False Ask: Does 57 divide 8981? Calculation: False Ask: Is 15 a factor of 407538? Calculation: False Ask: Is 1263690 a multiple of 95? Calculation: True Ask: Does 15 divide 273? Calculation: False Ask: Is 12 a factor of 5224500? Calculation: True Ask: Does 10 divide 966242? Calculation: False Ask: Is 34 a factor of 3022? Calculation: False Ask: Is 49306381 a multiple of 411? Calculation: False Ask: Is 5 a factor of 620? Calculation: True Ask: Is 7 a factor of 2685274? Calculation: False Ask: Is 4554 a multiple of 207? Calculation: True Ask: Does 567 divide 5882710? Calculation: False Ask: Does 4 divide 10382? Calculation: False Ask: Does 7 divide 861? Calculation: True Ask: Does 31 divide 932563049? Calculation: True Ask: Is 1221 a multiple of 37? Calculation: True Ask: Is 294 a factor of 2664228? Calculation: True Ask: Does 22 divide 9926840? Calculation: True Ask: Is 1084 a factor of 42006769? Calculation: False Ask: Is 92 a factor of 4784? Calculation: True Ask: Does 25 divide 82425? Calculation: True Ask: Is 125 a factor of 182432? Calculation: False Ask: Is 2078 a factor of 322385076? Calculation: True Ask: Does 10 divide 30171? Calculation: False Ask: Does 32 divide 61003584? Calculation: True Ask: Is 5155187047 a multiple of 248? Calculation: False Ask: Is 82 a factor of 1693617? Calculation: False Ask: Is 915701436 a multiple of 279? Calculation: True Ask: Does 14 divide 1942935? Calculation: False Ask: Is 380 a multiple of 10? Calculation: True Ask: Does 129 divide 28615? Calculation: False Ask: Is 90408083 a multiple of 160? Calculation: False Ask: Is 99431024 a multiple of 92? Calculation: True Ask: Is 715 a factor of 562463330? Calculation: True Ask: Does 6 divide 537? Calculation: False Ask: Is 50 a factor of 942429741? Calculation: False Ask: Does 138 divide 240706? Calculation: False Ask: Is 40628 a multiple of 29? Cal
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probability: swr p level set ---------------------------- Q-: Four letters picked without replacement from iiiwwiwwwwiwiiwiwwi. Give prob of picking 4 w. A: 35/646 Q-: Calculate prob of picking 1 k, 1 r, and 1 u when three letters picked without replacement from {g: 1, k: 1, r: 3, u: 2, w: 8, a: 2}. A: 3/340 Q-: Three letters picked without replacement from {f: 1, a: 4, x: 2, d: 1}. What is prob of picking 1 f, 1 x, and 1 a? A: 1/7 Q-: Three letters picked without replacement from {q: 1, c: 1, p: 2, n: 2}. Give prob of picking 1 q, 1 c, and 1 n. A: 1/10 Q-: What is prob of picking 2 c when two letters picked without replacement from crcrrcrrccurr? A: 5/39 Q-: What is prob of picking 1 g and 1 b when two letters picked without replacement from ilbakbg? A: 2/21 Q-: Three letters picked without replacement from {y: 4, v: 9, u: 4}. What is prob of picking 3 y? A: 1/170 Q-: Two letters picked without replacement from omfofmommoom. What is prob of picking 1 o and 1 m? A: 25/66 Q-: Four letters picked without replacement from {e: 3, y: 2, z: 8, h: 2}. What is prob of picking 1 e, 2 z, and 1 y? A: 8/65 Q-: What is prob of picking 1 f, 1 p, and 1 e when three letters picked without replacement from ydddedyyddddddfdpp? A: 1/408 Q-: Three letters picked without replacement from xuxoxofx. What is prob of picking 1 u and 2 o? A: 1/56 Q-: Calculate prob of picking 1 z, 1 b, and 1 t when three letters picked without replacement from {q: 2, t: 4, z: 6, b: 1}. A: 12/143 Q-: Calculate prob of picking 1 m, 2 w, and 1 j when four letters picked without replacement from {w: 2, j: 4, m: 1}. A: 4/35 Q-: Calculate prob of picking 1 k, 1 f, and 1 w when three letters picked without replacement from chkfwwhkv. A: 1/21 Q-: Three letters picked without replacement from {d: 5, k: 2, s: 1, g: 3, t: 5}. Give prob of picking 2 k and 1 t. A: 1/112 Q-: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {i: 8, y: 5, a: 2}. A: 8/21 Q-: What is prob of picking 1 i, 1
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measurement: time ----------------- What if: What is 432 minutes after 1:55 PM? Interpretation: 9:07 PM What if: How many minutes are there between 10:54 PM and 6:03 AM? Interpretation: 429 What if: How many minutes are there between 2:09 PM and 3:31 PM? Interpretation: 82 What if: What is 420 minutes before 10:31 PM? Interpretation: 3:31 PM What if: How many minutes are there between 11:53 AM and 10:11 PM? Interpretation: 618 What if: How many minutes are there between 2:57 PM and 12:40 AM? Interpretation: 583 What if: How many minutes are there between 10:55 PM and 10:26 AM? Interpretation: 691 What if: What is 176 minutes after 1:18 AM? Interpretation: 4:14 AM What if: How many minutes are there between 10:52 AM and 9:04 PM? Interpretation: 612 What if: What is 291 minutes before 4:33 AM? Interpretation: 11:42 PM What if: How many minutes are there between 9:35 AM and 8:00 PM? Interpretation: 625 What if: What is 573 minutes before 3:31 PM? Interpretation: 5:58 AM What if: What is 624 minutes before 12:46 PM? Interpretation: 2:22 AM What if: What is 203 minutes before 3:35 AM? Interpretation: 12:12 AM What if: What is 423 minutes before 10:53 PM? Interpretation: 3:50 PM What if: What is 142 minutes after 3:26 PM? Interpretation: 5:48 PM What if: What is 691 minutes before 3:29 AM? Interpretation: 3:58 PM What if: How many minutes are there between 2:56 AM and 1:40 PM? Interpretation: 644 What if: What is 96 minutes after 5:48 PM? Interpretation: 7:24 PM What if: What is 591 minutes before 11:33 PM? Interpretation: 1:42 PM What if: What is 303 minutes after 10:34 PM? Interpretation: 3:37 AM What if: How many minutes are there between 6:21 PM and 1:06 AM? Interpretation: 405 What if: What is 135 minutes before 6:38 AM? Interpretation: 4:23 AM What if: What is 708 minutes before 7:19 PM? Interpretation: 7:31 AM What if: What is 293 minutes before 8:02 PM? Interpretation: 3:09 PM What if: What is 160 minutes before 3:59 AM? Interpretation: 1:19 AM What if: What is 48
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numbers: place value -------------------- Prompt: What is the hundreds digit of 19966? Yields: 9 Prompt: What is the hundreds digit of 201128? Yields: 1 Prompt: What is the hundreds digit of 200569? Yields: 5 Prompt: What is the hundreds digit of 437023? Yields: 0 Prompt: What is the tens digit of 708? Yields: 0 Prompt: What is the thousands digit of 45548? Yields: 5 Prompt: What is the ten thousands digit of 250572? Yields: 5 Prompt: What is the tens digit of 58934? Yields: 3 Prompt: What is the thousands digit of 57117? Yields: 7 Prompt: What is the thousands digit of 361260? Yields: 1 Prompt: What is the units digit of 431697? Yields: 7 Prompt: What is the hundreds digit of 164702? Yields: 7 Prompt: What is the thousands digit of 72722? Yields: 2 Prompt: What is the tens digit of 2625040202? Yields: 0 Prompt: What is the tens digit of 442? Yields: 4 Prompt: What is the hundreds digit of 861961? Yields: 9 Prompt: What is the millions digit of 4116174? Yields: 4 Prompt: What is the hundreds digit of 8337305? Yields: 3 Prompt: What is the tens digit of 753? Yields: 5 Prompt: What is the tens digit of 16411? Yields: 1 Prompt: What is the billions digit of 3449297834? Yields: 3 Prompt: What is the units digit of 117? Yields: 7 Prompt: What is the units digit of 14457? Yields: 7 Prompt: What is the tens digit of 99175? Yields: 7 Prompt: What is the hundreds digit of 393193? Yields: 1 Prompt: What is the thousands digit of 3657? Yields: 3 Prompt: What is the ten millions digit of 705554983? Yields: 0 Prompt: What is the millions digit of 1896924689? Yields: 6 Prompt: What is the billions digit of 2230553393? Yields: 2 Prompt: What is the hundreds digit of 981? Yields: 9 Prompt: What is the ten thousands digit of 35011374? Yields: 1 Prompt: What is the ten thousands digit of 59249629? Yields: 4 Prompt: What is the tens digit of 474551? Yields: 5 Prompt: What is the thousands digit of 6955? Yields: 6 Prompt: What is the units digit of 8950? Yields: 0 Prompt: What is the t
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numbers: is factor ------------------ Let us solve: Is 44 a factor of 142928808? Response: True Let us solve: Does 17 divide 16422? Response: True Let us solve: Is 263159 a multiple of 9? Response: False Let us solve: Does 9 divide 1305? Response: True Let us solve: Does 17 divide 2001761? Response: False Let us solve: Is 52988 a multiple of 4? Response: True Let us solve: Is 166 a factor of 43728617? Response: False Let us solve: Is 19 a factor of 15900? Response: False Let us solve: Is 8339784 a multiple of 24? Response: True Let us solve: Is 76 a factor of 108659552? Response: False Let us solve: Is 13094190 a multiple of 10? Response: True Let us solve: Does 12 divide 20681151? Response: False Let us solve: Is 9202541 a multiple of 5874? Response: False Let us solve: Is 8908 a multiple of 17? Response: True Let us solve: Is 186 a factor of 38130? Response: True Let us solve: Does 37 divide 162454198? Response: True Let us solve: Is 4 a factor of 262? Response: False Let us solve: Does 28 divide 136640? Response: True Let us solve: Does 2 divide 433590093? Response: False Let us solve: Does 6 divide 185? Response: False Let us solve: Does 17 divide 1552? Response: False Let us solve: Is 151 a multiple of 7? Response: False Let us solve: Is 13 a factor of 67561? Response: True Let us solve: Is 42 a factor of 451231? Response: False Let us solve: Is 9411 a multiple of 165? Response: False Let us solve: Does 7 divide 94035? Response: False Let us solve: Is 183244170 a multiple of 205? Response: True Let us solve: Is 10152 a multiple of 18? Response: True Let us solve: Is 1416 a factor of 904018454? Response: False Let us solve: Is 31 a factor of 5600367? Response: True Let us solve: Is 175 a factor of 2585625? Response: True Let us solve: Is 393 a factor of 220473? Response: True Let us solve: Is 7575 a multiple of 25? Response: True Let us solve: Is 537707 a multiple of 100? Response: False Let us solve: Is 4712641 a multiple of 21? Response: False Let us solve: Is
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numbers: place value -------------------- Issue: What is the hundreds digit of 14288? = : 2 Issue: What is the tens digit of 11939885? = : 8 Issue: What is the hundreds digit of 9792? = : 7 Issue: What is the hundred thousands digit of 11915730? = : 9 Issue: What is the hundreds digit of 61893431? = : 4 Issue: What is the thousands digit of 2290? = : 2 Issue: What is the millions digit of 45735689? = : 5 Issue: What is the thousands digit of 1074831? = : 4 Issue: What is the tens digit of 8325760? = : 6 Issue: What is the units digit of 499? = : 9 Issue: What is the thousands digit of 1670963? = : 0 Issue: What is the thousands digit of 4214? = : 4 Issue: What is the thousands digit of 8321353? = : 1 Issue: What is the millions digit of 636206687? = : 6 Issue: What is the hundreds digit of 742? = : 7 Issue: What is the hundreds digit of 1412? = : 4 Issue: What is the thousands digit of 7039? = : 7 Issue: What is the units digit of 224863388? = : 8 Issue: What is the thousands digit of 71048869? = : 8 Issue: What is the hundreds digit of 467200? = : 2 Issue: What is the tens digit of 24308? = : 0 Issue: What is the units digit of 183028? = : 8 Issue: What is the tens digit of 89399661? = : 6 Issue: What is the tens digit of 96469117? = : 1 Issue: What is the hundreds digit of 455? = : 4 Issue: What is the thousands digit of 6560425? = : 0 Issue: What is the hundred thousands digit of 8550970017? = : 9 Issue: What is the ten thousands digit of 99943237? = : 4 Issue: What is the billions digit of 3106585781? = : 3 Issue: What is the units digit of 85171392? = : 2 Issue: What is the tens digit of 16066? = : 6 Issue: What is the hundreds digit of 9517619? = : 6 Issue: What is the hundred thousands digit of 2897369? = : 8 Issue: What is the hundreds digit of 153873? = : 8 Issue: What is the hundreds digit of 2382? = : 3 Issue: What is the tens digit of 73620? = : 2 Issue: What is the ten thousands digit of 12353? = : 1 Issue: What is the millions digit of 5987118? = : 5 I
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numbers: is factor ------------------ Part A: Is 224 a multiple of 7? Final Answer: True Part A: Does 12 divide 120516? Final Answer: True Part A: Is 32014 a multiple of 4? Final Answer: False Part A: Is 1294 a factor of 30272442? Final Answer: False Part A: Does 5 divide 266? Final Answer: False Part A: Does 1126 divide 1799994? Final Answer: False Part A: Is 16057746 a multiple of 540? Final Answer: False Part A: Is 3 a factor of 502? Final Answer: False Part A: Does 5690 divide 847644990? Final Answer: True Part A: Is 5580 a multiple of 124? Final Answer: True Part A: Does 10 divide 170484421? Final Answer: False Part A: Does 25 divide 448836? Final Answer: False Part A: Is 28 a factor of 10456? Final Answer: False Part A: Does 263 divide 284040? Final Answer: True Part A: Does 17 divide 941? Final Answer: False Part A: Is 16 a factor of 792459206? Final Answer: False Part A: Is 188864985 a multiple of 1847? Final Answer: True Part A: Is 90368682 a multiple of 3529? Final Answer: False Part A: Does 122 divide 4758? Final Answer: True Part A: Is 336564973 a multiple of 10? Final Answer: False Part A: Is 24 a factor of 509544? Final Answer: True Part A: Is 1157361 a multiple of 13? Final Answer: False Part A: Is 7516618 a multiple of 18? Final Answer: False Part A: Does 76 divide 2455104? Final Answer: True Part A: Is 4866782 a multiple of 211? Final Answer: False Part A: Is 9 a factor of 347033? Final Answer: False Part A: Is 2102 a factor of 257369234? Final Answer: False Part A: Does 17 divide 20145? Final Answer: True Part A: Is 16 a factor of 2253? Final Answer: False Part A: Is 12598 a multiple of 8? Final Answer: False Part A: Is 354302389 a multiple of 2328? Final Answer: False Part A: Is 1397 a multiple of 28? Final Answer: False Part A: Does 1133 divide 110090211? Final Answer: True Part A: Is 2986 a factor of 43112189? Final Answer: False Part A: Does 87 divide 4496098? Final Answer: False Part A: Does 174 divide 820408086? Final Answer: True Part A: Is
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measurement: conversion ----------------------- What if: What is 5.83177um in meters? Ans: 0.00000583177 What if: What is 0.01229 milligrams in micrograms? Ans: 12.29 What if: What is nineteen quarters of a millimeter in micrometers? Ans: 4750 What if: What is fifty-one quarters of a meter in millimeters? Ans: 12750 What if: What is two sevenths of a week in hours? Ans: 48 What if: How many months are there in 7.697982 decades? Ans: 923.75784 What if: What is 5206.656 centuries in years? Ans: 520665.6 What if: How many weeks are there in 9788875.11 microseconds? Ans: 0.000016185309375 What if: What is 31/5 of a litre in millilitres? Ans: 6200 What if: How many millilitres are there in one tenth of a litre? Ans: 100 What if: How many nanoseconds are there in 3/32 of a millisecond? Ans: 93750 What if: What is one tenth of a gram in micrograms? Ans: 100000 What if: What is 171363.1 kilometers in nanometers? Ans: 171363100000000000 What if: What is eleven quarters of a litre in millilitres? Ans: 2750 What if: How many grams are there in 41973.91 kilograms? Ans: 41973910 What if: What is 25/4 of a year in months? Ans: 75 What if: How many nanograms are there in 44/5 of a microgram? Ans: 8800 What if: What is 83.74271 litres in millilitres? Ans: 83742.71 What if: What is 310.7073ug in tonnes? Ans: 0.0000000003107073 What if: Convert 75528.88 decades to millennia. Ans: 755.2888 What if: Convert 99.93189l to millilitres. Ans: 99931.89 What if: How many grams are there in 66.98876t? Ans: 66988760 What if: Convert 1068.619 years to months. Ans: 12823.428 What if: How many microseconds are there in 6361.809 hours? Ans: 22902512400000 What if: What is 19/4 of a kilogram in grams? Ans: 4750 What if: What is 549.7146 litres in millilitres? Ans: 549714.6 What if: What is one fifth of a centimeter in micrometers? Ans: 2000 What if: How many centuries are there in 38.88597 decades? Ans: 3.888597 What if: How many tonnes are there in 7383.46 grams? Ans: 0.00738346 What if: What is 1/
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probability: swr p level set ---------------------------- Q): Calculate prob of picking 1 o, 1 e, 1 a, and 1 t when four letters picked without replacement from {g: 1, e: 1, b: 1, o: 1, a: 2, t: 1}. Calculation: 2/35 Q): Four letters picked without replacement from hbddxjxyj. Give prob of picking 1 x, 1 d, 1 j, and 1 y. Calculation: 4/63 Q): Calculate prob of picking 2 z when two letters picked without replacement from lblzlbbzblbzlbzbbz. Calculation: 10/153 Q): Calculate prob of picking 2 f and 1 s when three letters picked without replacement from sssssssfsff. Calculation: 8/55 Q): What is prob of picking 1 e and 1 q when two letters picked without replacement from {l: 4, i: 6, r: 3, q: 1, e: 1, m: 3}? Calculation: 1/153 Q): Calculate prob of picking 1 a, 2 h, and 1 k when four letters picked without replacement from kmppahkhamkph. Calculation: 18/715 Q): Two letters picked without replacement from yvvyyyyjavyjyyyvyyjy. What is prob of picking 1 j and 1 y? Calculation: 18/95 Q): Three letters picked without replacement from wcowcoxwebcx. What is prob of picking 1 e, 1 b, and 1 o? Calculation: 1/110 Q): Two letters picked without replacement from {d: 5, y: 2, a: 2}. What is prob of picking 1 d and 1 y? Calculation: 5/18 Q): Calculate prob of picking 2 z and 1 h when three letters picked without replacement from {z: 2, h: 6, j: 9}. Calculation: 3/340 Q): Two letters picked without replacement from ghfgggcf. Give prob of picking 1 f and 1 c. Calculation: 1/14 Q): What is prob of picking 3 m when three letters picked without replacement from {m: 4, t: 10}? Calculation: 1/91 Q): Calculate prob of picking 2 d when two letters picked without replacement from {a: 2, d: 3, u: 2, y: 9}. Calculation: 1/40 Q): Four letters picked without replacement from haaaaaaaaahaha. What is prob of picking 3 a and 1 h? Calculation: 45/91 Q): Three letters picked without replacement from {m: 1, f: 1, b: 1, g: 2, r: 2}. Give prob of picking 2 g and 1 r. Calculation: 2/35 Q): What is prob of
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numbers: place value -------------------- Test item: What is the thousands digit of 178079? Solution: 8 Test item: What is the thousands digit of 5746437? Solution: 6 Test item: What is the tens digit of 982? Solution: 8 Test item: What is the units digit of 670? Solution: 0 Test item: What is the hundred thousands digit of 2568534400? Solution: 5 Test item: What is the hundred thousands digit of 9691505? Solution: 6 Test item: What is the hundred thousands digit of 35709483? Solution: 7 Test item: What is the units digit of 30918653? Solution: 3 Test item: What is the thousands digit of 3961? Solution: 3 Test item: What is the tens digit of 922? Solution: 2 Test item: What is the tens digit of 73? Solution: 7 Test item: What is the units digit of 645623161? Solution: 1 Test item: What is the units digit of 30138? Solution: 8 Test item: What is the hundreds digit of 827276688? Solution: 6 Test item: What is the units digit of 815966238? Solution: 8 Test item: What is the hundred millions digit of 2733513261? Solution: 7 Test item: What is the ten thousands digit of 604435058? Solution: 3 Test item: What is the units digit of 171577? Solution: 7 Test item: What is the thousands digit of 138401018? Solution: 1 Test item: What is the hundred millions digit of 313116348? Solution: 3 Test item: What is the tens digit of 3562551? Solution: 5 Test item: What is the thousands digit of 748894? Solution: 8 Test item: What is the thousands digit of 1264? Solution: 1 Test item: What is the hundreds digit of 112092? Solution: 0 Test item: What is the millions digit of 7793928461? Solution: 3 Test item: What is the thousands digit of 34497? Solution: 4 Test item: What is the tens digit of 194124? Solution: 2 Test item: What is the ten thousands digit of 137983? Solution: 3 Test item: What is the ten thousands digit of 5044584? Solution: 4 Test item: What is the units digit of 30792665? Solution: 5 Test item: What is the tens digit of 2583? Solution: 8 Test item: What is the units
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numbers: gcd ------------ Issue: What is the highest common factor of 1964 and 20065697? A: 491 Issue: What is the highest common factor of 128 and 8000? A: 64 Issue: What is the highest common divisor of 4916 and 284? A: 4 Issue: What is the greatest common factor of 862476752 and 3505? A: 701 Issue: What is the highest common divisor of 393 and 35632? A: 131 Issue: What is the highest common divisor of 2 and 67? A: 1 Issue: Calculate the highest common factor of 9319478 and 56. A: 14 Issue: What is the highest common factor of 9531 and 72? A: 9 Issue: Calculate the greatest common divisor of 120 and 105. A: 15 Issue: What is the greatest common factor of 30146 and 4? A: 2 Issue: What is the highest common factor of 63046 and 147726? A: 58 Issue: What is the greatest common divisor of 6726 and 114? A: 114 Issue: Calculate the highest common divisor of 360 and 763368. A: 24 Issue: What is the greatest common divisor of 119274 and 26055? A: 579 Issue: Calculate the greatest common divisor of 214 and 3638. A: 214 Issue: Calculate the greatest common divisor of 43 and 24381559. A: 43 Issue: Calculate the highest common divisor of 1960 and 340. A: 20 Issue: What is the greatest common factor of 132 and 1324476? A: 12 Issue: What is the highest common factor of 8 and 52? A: 4 Issue: Calculate the highest common divisor of 33 and 8899. A: 11 Issue: What is the greatest common divisor of 23790 and 49? A: 1 Issue: What is the highest common divisor of 7884033 and 762? A: 381 Issue: Calculate the greatest common factor of 58064 and 2128. A: 304 Issue: Calculate the greatest common factor of 24436448 and 65160. A: 1448 Issue: What is the greatest common factor of 49100 and 300? A: 100 Issue: What is the greatest common factor of 4222206 and 201? A: 201 Issue: Calculate the greatest common factor of 7334571 and 633. A: 633 Issue: Calculate the highest common factor of 196 and 172823. A: 49 Issue: Calculate the highest common factor of 4350606 and 204. A: 102 Issue: What is the
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measurement: conversion ----------------------- Problem #: What is sixty-one halves of a meter in millimeters? Ans: 30500 Problem #: Convert 0.874138 litres to millilitres. Ans: 874.138 Problem #: What is 3355.462 litres in millilitres? Ans: 3355462 Problem #: What is 4.866797 millimeters in kilometers? Ans: 0.000004866797 Problem #: Convert 4.977954 days to nanoseconds. Ans: 430095225600000 Problem #: Convert 244994.85us to minutes. Ans: 0.0040832475 Problem #: What is 3/25 of a week in seconds? Ans: 72576 Problem #: What is 850858.9 nanograms in milligrams? Ans: 0.8508589 Problem #: What is 834.3092 days in minutes? Ans: 1201405.248 Problem #: How many months are there in 23/8 of a decade? Ans: 345 Problem #: What is 52.75974m in kilometers? Ans: 0.05275974 Problem #: How many seconds are there in 4/3 of a minute? Ans: 80 Problem #: What is 1.216887ml in litres? Ans: 0.001216887 Problem #: How many meters are there in 13/4 of a kilometer? Ans: 3250 Problem #: What is 1/10 of a micrometer in nanometers? Ans: 100 Problem #: How many months are there in 8/3 of a decade? Ans: 320 Problem #: How many decades are there in 20.8025 years? Ans: 2.08025 Problem #: What is 21/4 of a week in minutes? Ans: 52920 Problem #: What is 865469.8nm in meters? Ans: 0.0008654698 Problem #: What is 16040.69 milligrams in grams? Ans: 16.04069 Problem #: How many micrometers are there in three eighths of a millimeter? Ans: 375 Problem #: How many kilograms are there in 25/2 of a tonne? Ans: 12500 Problem #: What is one twentieth of a gram in milligrams? Ans: 50 Problem #: How many millilitres are there in 282453.8 litres? Ans: 282453800 Problem #: How many millilitres are there in six fifths of a litre? Ans: 1200 Problem #: How many millilitres are there in 234.575l? Ans: 234575 Problem #: Convert 403234.1 millilitres to litres. Ans: 403.2341 Problem #: How many hours are there in five sixths of a day? Ans: 20 Problem #: How many centuries are there in 965.559 months? Ans: 0.8046325 Probl
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numbers: gcd ------------ Qn: Calculate the greatest common divisor of 6142 and 4316. Therefore: 166 Qn: Calculate the greatest common divisor of 207705 and 183. Therefore: 183 Qn: What is the greatest common divisor of 1660 and 4? Therefore: 4 Qn: Calculate the highest common divisor of 9342 and 108. Therefore: 54 Qn: What is the greatest common divisor of 23708 and 1492? Therefore: 4 Qn: What is the highest common divisor of 15227229 and 9445? Therefore: 1889 Qn: What is the greatest common factor of 14508 and 8370? Therefore: 558 Qn: What is the highest common divisor of 798018 and 177862? Therefore: 1574 Qn: What is the highest common factor of 196 and 263524016? Therefore: 28 Qn: Calculate the greatest common factor of 172 and 22102. Therefore: 86 Qn: Calculate the highest common divisor of 50 and 21669820. Therefore: 10 Qn: What is the highest common divisor of 15 and 565? Therefore: 5 Qn: What is the highest common divisor of 200 and 18050? Therefore: 50 Qn: What is the highest common factor of 50565 and 164785? Therefore: 5 Qn: What is the greatest common factor of 808052 and 224? Therefore: 28 Qn: Calculate the greatest common factor of 378 and 1323. Therefore: 189 Qn: What is the highest common divisor of 2520 and 19152? Therefore: 504 Qn: Calculate the highest common factor of 141 and 10481. Therefore: 47 Qn: What is the greatest common divisor of 306 and 2592? Therefore: 18 Qn: Calculate the highest common divisor of 70 and 10010. Therefore: 70 Qn: Calculate the highest common divisor of 767 and 414076. Therefore: 13 Qn: What is the greatest common divisor of 58 and 87? Therefore: 29 Qn: What is the highest common factor of 629901206 and 176? Therefore: 22 Qn: Calculate the highest common factor of 1432 and 879964. Therefore: 716 Qn: Calculate the highest common divisor of 9670635 and 532515. Therefore: 4065 Qn: Calculate the highest common factor of 51 and 194021. Therefore: 17 Qn: Calculate the highest common factor of 93 and 10757. Therefore: 31 Qn: W
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numbers: is prime ----------------- Task: Is 65987497 composite? Calculation: False Task: Is 5346769913 composite? Calculation: True Task: Is 17894317 composite? Calculation: True Task: Is 49519 a prime number? Calculation: False Task: Is 10063297 prime? Calculation: False Task: Is 11 prime? Calculation: True Task: Is 8039 a prime number? Calculation: True Task: Is 30127 prime? Calculation: False Task: Is 712207 prime? Calculation: False Task: Is 50868469 a composite number? Calculation: True Task: Is 3979969177 a composite number? Calculation: False Task: Is 101771 prime? Calculation: True Task: Is 1262 a prime number? Calculation: False Task: Is 251327 composite? Calculation: True Task: Is 585886703 a prime number? Calculation: True Task: Is 10580699 composite? Calculation: False Task: Is 5562017 prime? Calculation: False Task: Is 8097629959 prime? Calculation: True Task: Is 108922031 composite? Calculation: True Task: Is 71029537511 a prime number? Calculation: False Task: Is 1815427 a prime number? Calculation: True Task: Is 62039226961 a composite number? Calculation: False Task: Is 731574421 composite? Calculation: True Task: Is 122183 a composite number? Calculation: True Task: Is 1259 prime? Calculation: True Task: Is 8117 a composite number? Calculation: False Task: Is 24515351219 a composite number? Calculation: True Task: Is 49326481 composite? Calculation: True Task: Is 167935 a prime number? Calculation: False Task: Is 422339 a composite number? Calculation: False Task: Is 104849 prime? Calculation: True Task: Is 1066815103 composite? Calculation: False Task: Is 11471 a prime number? Calculation: True Task: Is 39677 prime? Calculation: False Task: Is 1724059 a composite number? Calculation: False Task: Is 2373331 prime? Calculation: False Task: Is 299166839 a composite number? Calculation: False Task: Is 4700122081 prime? Calculation: True Task: Is 7303809719 a prime number? Calculation: False Task: Is 86816815 a composite number? Calculation: True Task
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probability: swr p level set ---------------------------- Exercise: Calculate prob of picking 3 n when three letters picked without replacement from {e: 4, h: 1, n: 6}. Reply: 4/33 Exercise: Two letters picked without replacement from {w: 7, m: 3, l: 1, x: 1, h: 4, g: 2}. Give prob of picking 1 h and 1 m. Reply: 4/51 Exercise: What is prob of picking 2 h when two letters picked without replacement from {h: 7}? Reply: 1 Exercise: Four letters picked without replacement from {q: 2, r: 1, u: 1, n: 1}. Give prob of picking 1 u and 3 n. Reply: 0 Exercise: What is prob of picking 2 q, 1 v, and 1 e when four letters picked without replacement from {q: 3, x: 3, e: 2, y: 3, v: 2}? Reply: 12/715 Exercise: What is prob of picking 2 k when two letters picked without replacement from {k: 19, o: 1}? Reply: 9/10 Exercise: What is prob of picking 2 b when two letters picked without replacement from {a: 2, r: 2, b: 5, i: 6, m: 1}? Reply: 1/12 Exercise: What is prob of picking 1 v and 1 i when two letters picked without replacement from vivvvivvvvvvivivvvi? Reply: 70/171 Exercise: Four letters picked without replacement from ereer. What is prob of picking 4 r? Reply: 0 Exercise: Two letters picked without replacement from {d: 2, u: 1, x: 1, f: 1}. What is prob of picking 1 x and 1 u? Reply: 1/10 Exercise: Three letters picked without replacement from {e: 6, t: 2}. What is prob of picking 2 t and 1 e? Reply: 3/28 Exercise: Calculate prob of picking 4 n when four letters picked without replacement from {n: 10}. Reply: 1 Exercise: Calculate prob of picking 1 o, 2 p, and 1 m when four letters picked without replacement from {o: 1, m: 4, w: 1, p: 2}. Reply: 2/35 Exercise: Three letters picked without replacement from {u: 4, b: 4, r: 1, s: 1, c: 1, a: 7}. Give prob of picking 2 a and 1 c. Reply: 7/272 Exercise: Calculate prob of picking 3 w when three letters picked without replacement from wwhhw. Reply: 1/10 Exercise: Four letters picked without replacement from eeeezwzeewwzezez. What is
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numbers: div remainder ---------------------- Example: What is the remainder when 425953 is divided by 2565? Response: 163 Example: What is the remainder when 7409814 is divided by 187? Response: 126 Example: What is the remainder when 952 is divided by 20? Response: 12 Example: Calculate the remainder when 846720 is divided by 7768. Response: 8 Example: Calculate the remainder when 1468784 is divided by 900. Response: 884 Example: Calculate the remainder when 113 is divided by 13. Response: 9 Example: Calculate the remainder when 95016 is divided by 1521. Response: 714 Example: Calculate the remainder when 15975 is divided by 333. Response: 324 Example: What is the remainder when 8055 is divided by 540? Response: 495 Example: Calculate the remainder when 17282 is divided by 133. Response: 125 Example: What is the remainder when 6689998 is divided by 3344982? Response: 34 Example: What is the remainder when 731478 is divided by 146243? Response: 263 Example: Calculate the remainder when 3443 is divided by 381. Response: 14 Example: Calculate the remainder when 219 is divided by 38. Response: 29 Example: Calculate the remainder when 517801 is divided by 12620. Response: 381 Example: Calculate the remainder when 8951071 is divided by 2237764. Response: 15 Example: Calculate the remainder when 144 is divided by 141. Response: 3 Example: Calculate the remainder when 156385 is divided by 25982. Response: 493 Example: What is the remainder when 371594 is divided by 30356? Response: 7322 Example: What is the remainder when 684 is divided by 14? Response: 12 Example: Calculate the remainder when 16216 is divided by 857. Response: 790 Example: Calculate the remainder when 21037 is divided by 1174. Response: 1079 Example: What is the remainder when 2634 is divided by 436? Response: 18 Example: Calculate the remainder when 14024262 is divided by 7012128. Response: 6 Example: What is the remainder when 1237 is divided by 1204? Response: 33 Example: What is the remainder when 22
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arithmetic: nearest integer root -------------------------------- Qn: What is the cube root of 86580 to the nearest integer? Calculation: 44 Qn: What is 1010731363 to the power of 1/7, to the nearest integer? Calculation: 19 Qn: What is the fifth root of 3442343 to the nearest integer? Calculation: 20 Qn: What is the cube root of 40940025 to the nearest integer? Calculation: 345 Qn: What is 1863 to the power of 1/7, to the nearest integer? Calculation: 3 Qn: What is the fifth root of 592710 to the nearest integer? Calculation: 14 Qn: What is 20936606 to the power of 1/3, to the nearest integer? Calculation: 276 Qn: What is the cube root of 135783 to the nearest integer? Calculation: 51 Qn: What is 68940 to the power of 1/2, to the nearest integer? Calculation: 263 Qn: What is 14199 to the power of 1/9, to the nearest integer? Calculation: 3 Qn: What is the cube root of 110766 to the nearest integer? Calculation: 48 Qn: What is the square root of 79781259 to the nearest integer? Calculation: 8932 Qn: What is 31735 to the power of 1/2, to the nearest integer? Calculation: 178 Qn: What is 5354486 to the power of 1/3, to the nearest integer? Calculation: 175 Qn: What is 84 to the power of 1/2, to the nearest integer? Calculation: 9 Qn: What is 1571 to the power of 1/2, to the nearest integer? Calculation: 40 Qn: What is the square root of 221090079 to the nearest integer? Calculation: 14869 Qn: What is 537 to the power of 1/5, to the nearest integer? Calculation: 4 Qn: What is the fourth root of 758178062 to the nearest integer? Calculation: 166 Qn: What is 90932223 to the power of 1/6, to the nearest integer? Calculation: 21 Qn: What is 37149797 to the power of 1/4, to the nearest integer? Calculation: 78 Qn: What is the square root of 198250 to the nearest integer? Calculation: 445 Qn: What is 83140779 to the power of 1/3, to the nearest integer? Calculation: 436 Qn: What is 67093450 to the power of 1/4, to the nearest integer? Calculation: 91 Qn: What is the tenth ro
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numbers: is prime ----------------- Test item: Is 383011 composite? Math A: False Test item: Is 394202 a prime number? Math A: False Test item: Is 2243 prime? Math A: True Test item: Is 443710481 a prime number? Math A: True Test item: Is 40381 a prime number? Math A: False Test item: Is 3199503673 a prime number? Math A: True Test item: Is 107329 prime? Math A: False Test item: Is 143604421 a composite number? Math A: False Test item: Is 4677349 a prime number? Math A: False Test item: Is 5431 composite? Math A: False Test item: Is 4185509 a prime number? Math A: True Test item: Is 1237123 a composite number? Math A: True Test item: Is 2404529 composite? Math A: False Test item: Is 118188751 a composite number? Math A: False Test item: Is 63303 a composite number? Math A: True Test item: Is 103292702059 a composite number? Math A: True Test item: Is 10106477 prime? Math A: True Test item: Is 375986861 composite? Math A: False Test item: Is 117838697 prime? Math A: False Test item: Is 4138107821 prime? Math A: True Test item: Is 1963 composite? Math A: True Test item: Is 6289691 composite? Math A: True Test item: Is 328501 prime? Math A: False Test item: Is 354942737 a composite number? Math A: True Test item: Is 57619 composite? Math A: True Test item: Is 14953 composite? Math A: True Test item: Is 821484337 a prime number? Math A: True Test item: Is 125502497 composite? Math A: True Test item: Is 130253363 a composite number? Math A: True Test item: Is 20311547 a composite number? Math A: False Test item: Is 6491 a prime number? Math A: True Test item: Is 5328919 prime? Math A: False Test item: Is 165226277 composite? Math A: True Test item: Is 1937074849 composite? Math A: True Test item: Is 385039 a prime number? Math A: True Test item: Is 633 a prime number? Math A: False Test item: Is 578917 prime? Math A: True Test item: Is 2243743471 composite? Math A: False Test item: Is 1921819 prime? Math A: True Test item: Is 494435 prime? Math A: False Test item: Is 858
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measurement: time ----------------- Example: How many minutes are there between 8:59 AM and 12:26 PM? Final Answer: 207 Example: How many minutes are there between 5:46 AM and 3:58 PM? Final Answer: 612 Example: How many minutes are there between 6:11 AM and 5:03 PM? Final Answer: 652 Example: What is 191 minutes before 1:08 AM? Final Answer: 9:57 PM Example: What is 568 minutes after 2:52 PM? Final Answer: 12:20 AM Example: What is 277 minutes after 12:42 PM? Final Answer: 5:19 PM Example: How many minutes are there between 9:19 AM and 11:59 AM? Final Answer: 160 Example: How many minutes are there between 9:55 AM and 10:44 AM? Final Answer: 49 Example: How many minutes are there between 11:09 PM and 8:50 AM? Final Answer: 581 Example: What is 155 minutes before 8:51 AM? Final Answer: 6:16 AM Example: What is 463 minutes before 7:29 AM? Final Answer: 11:46 PM Example: What is 342 minutes after 11:57 PM? Final Answer: 5:39 AM Example: How many minutes are there between 5:15 AM and 2:32 PM? Final Answer: 557 Example: What is 19 minutes before 7:18 AM? Final Answer: 6:59 AM Example: How many minutes are there between 5:39 AM and 11:21 AM? Final Answer: 342 Example: How many minutes are there between 11:08 PM and 1:24 AM? Final Answer: 136 Example: How many minutes are there between 1:33 AM and 2:55 AM? Final Answer: 82 Example: What is 685 minutes before 3:10 AM? Final Answer: 3:45 PM Example: What is 664 minutes after 9:44 AM? Final Answer: 8:48 PM Example: What is 376 minutes before 5:44 PM? Final Answer: 11:28 AM Example: How many minutes are there between 8:33 AM and 5:31 PM? Final Answer: 538 Example: How many minutes are there between 5:29 PM and 8:58 PM? Final Answer: 209 Example: How many minutes are there between 8:20 AM and 11:47 AM? Final Answer: 207 Example: How many minutes are there between 5:59 PM and 4:35 AM? Final Answer: 636 Example: How many minutes are there between 9:23 PM and 3:07 AM? Final Answer: 344 Example: What is 419 minutes after 3:24 PM?
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numbers: gcd ------------ Item: What is the greatest common divisor of 7821 and 9? Conclusion: 9 Item: What is the highest common factor of 324 and 81? Conclusion: 81 Item: What is the greatest common divisor of 160 and 16480? Conclusion: 160 Item: What is the greatest common factor of 102080 and 8848? Conclusion: 16 Item: What is the highest common divisor of 810 and 30? Conclusion: 30 Item: What is the highest common divisor of 2362756 and 29964? Conclusion: 44 Item: What is the highest common divisor of 1778164 and 311112? Conclusion: 116 Item: Calculate the greatest common factor of 66 and 5874. Conclusion: 66 Item: Calculate the highest common divisor of 71791731 and 297. Conclusion: 297 Item: Calculate the highest common factor of 10106516 and 588. Conclusion: 28 Item: What is the highest common divisor of 170 and 20? Conclusion: 10 Item: What is the highest common factor of 1 and 64? Conclusion: 1 Item: What is the highest common factor of 45420 and 91597? Conclusion: 757 Item: Calculate the highest common divisor of 16038 and 22. Conclusion: 22 Item: What is the greatest common divisor of 68887 and 3731? Conclusion: 91 Item: Calculate the greatest common divisor of 44 and 15103. Conclusion: 11 Item: What is the highest common factor of 1483817 and 218? Conclusion: 109 Item: What is the highest common factor of 240261 and 9289? Conclusion: 7 Item: What is the greatest common factor of 168 and 5124? Conclusion: 84 Item: Calculate the highest common divisor of 1388 and 17792078. Conclusion: 694 Item: Calculate the highest common factor of 11 and 11759. Conclusion: 11 Item: Calculate the greatest common factor of 3243438 and 9. Conclusion: 9 Item: Calculate the greatest common factor of 2480 and 87880. Conclusion: 40 Item: Calculate the greatest common divisor of 25288 and 9802. Conclusion: 58 Item: What is the highest common divisor of 284356800 and 10633? Conclusion: 1519 Item: What is the highest common factor of 15702768 and 2904? Conclusion: 24 Item: What i
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probability: swr p level set ---------------------------- Subquestion: Calculate prob of picking 1 c, 1 k, 1 b, and 1 h when four letters picked without replacement from jmcbkmhc. Final Answer: 1/35 Subquestion: Two letters picked without replacement from mgggggggmmggmgmggg. What is prob of picking 1 g and 1 m? Final Answer: 65/153 Subquestion: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from {n: 2, a: 8}. Final Answer: 16/45 Subquestion: What is prob of picking 2 h and 2 r when four letters picked without replacement from hdrddhhr? Final Answer: 3/70 Subquestion: Calculate prob of picking 4 h when four letters picked without replacement from hhhhh. Final Answer: 1 Subquestion: Calculate prob of picking 1 z, 1 e, and 1 q when three letters picked without replacement from ddqteqqzdqddqqe. Final Answer: 12/455 Subquestion: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {r: 1, x: 1, e: 1, n: 1, i: 1}. Final Answer: 1/10 Subquestion: Three letters picked without replacement from pppmpaoo. What is prob of picking 3 o? Final Answer: 0 Subquestion: Three letters picked without replacement from wwimiggimmlc. Give prob of picking 1 l, 1 g, and 1 c. Final Answer: 1/110 Subquestion: Two letters picked without replacement from krkkkkkkkkkr. What is prob of picking 2 r? Final Answer: 1/66 Subquestion: What is prob of picking 1 r and 1 w when two letters picked without replacement from {r: 5, h: 1, w: 4, j: 5, m: 1}? Final Answer: 1/6 Subquestion: Four letters picked without replacement from {w: 8, t: 5}. What is prob of picking 4 t? Final Answer: 1/143 Subquestion: What is prob of picking 1 a and 1 h when two letters picked without replacement from aaahh? Final Answer: 3/5 Subquestion: Two letters picked without replacement from qqqqqqqqqpqqvq. What is prob of picking 1 v and 1 p? Final Answer: 1/91 Subquestion: Calculate prob of picking 1 t and 2 f when three letters picked without replacement from bt
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numbers: lcm ------------ Step: Calculate the least common multiple of 3952 and 128364. Calculation: 6674928 Step: Find the common denominator of 1/270 and 149/30. Calculation: 270 Step: Calculate the smallest common multiple of 861 and 3. Calculation: 861 Step: Find the common denominator of 27/325 and -76/93015. Calculation: 465075 Step: Calculate the smallest common multiple of 489596 and 54. Calculation: 13219092 Step: Calculate the lowest common multiple of 13314 and 781688. Calculation: 5203697016 Step: Calculate the common denominator of -34/77 and 62/77. Calculation: 77 Step: What is the common denominator of 23/15 and -52/795? Calculation: 795 Step: Calculate the common denominator of -1/1905880 and 5/24. Calculation: 5717640 Step: Calculate the lowest common multiple of 176949 and 3087. Calculation: 60693507 Step: Find the common denominator of 13/7 and 30/67. Calculation: 469 Step: What is the smallest common multiple of 12400 and 248000? Calculation: 248000 Step: What is the smallest common multiple of 10 and 3766? Calculation: 18830 Step: What is the common denominator of 109/32396 and -111/5841248? Calculation: 75936224 Step: What is the common denominator of -13/12290 and -46/320769? Calculation: 3207690 Step: Calculate the common denominator of 89/602 and 111/946. Calculation: 6622 Step: What is the common denominator of -47/646 and 81/179554? Calculation: 3411526 Step: What is the least common multiple of 10724623 and 4690? Calculation: 107246230 Step: Calculate the smallest common multiple of 168 and 3. Calculation: 168 Step: What is the least common multiple of 3560 and 18760? Calculation: 1669640 Step: What is the least common multiple of 23308 and 20? Calculation: 116540 Step: Calculate the smallest common multiple of 275682 and 1650. Calculation: 6892050 Step: What is the common denominator of 73/15464540 and -47/6720? Calculation: 742297920 Step: Calculate the least common multiple of 24340 and 146040. Calculation: 146040 Step: What is the com
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numbers: place value -------------------- Inquiry: What is the tens digit of 31593? Result: 9 Inquiry: What is the thousands digit of 16316135? Result: 6 Inquiry: What is the units digit of 82376? Result: 6 Inquiry: What is the hundred millions digit of 1884395601? Result: 8 Inquiry: What is the thousands digit of 10024? Result: 0 Inquiry: What is the units digit of 166596790? Result: 0 Inquiry: What is the tens digit of 4480757? Result: 5 Inquiry: What is the millions digit of 26710892? Result: 6 Inquiry: What is the hundred thousands digit of 32264823? Result: 2 Inquiry: What is the units digit of 665739? Result: 9 Inquiry: What is the units digit of 29599690? Result: 0 Inquiry: What is the ten thousands digit of 167353370? Result: 5 Inquiry: What is the ten thousands digit of 8480126? Result: 8 Inquiry: What is the tens digit of 726009? Result: 0 Inquiry: What is the thousands digit of 17435? Result: 7 Inquiry: What is the ten thousands digit of 63644? Result: 6 Inquiry: What is the tens digit of 1019160340? Result: 4 Inquiry: What is the tens digit of 411894746? Result: 4 Inquiry: What is the hundred thousands digit of 186843850? Result: 8 Inquiry: What is the tens digit of 334191? Result: 9 Inquiry: What is the units digit of 537376529? Result: 9 Inquiry: What is the hundred thousands digit of 1112062? Result: 1 Inquiry: What is the tens digit of 21713? Result: 1 Inquiry: What is the units digit of 80595? Result: 5 Inquiry: What is the tens digit of 23323? Result: 2 Inquiry: What is the units digit of 1366? Result: 6 Inquiry: What is the ten thousands digit of 10791? Result: 1 Inquiry: What is the hundreds digit of 46899558? Result: 5 Inquiry: What is the hundred thousands digit of 447989? Result: 4 Inquiry: What is the thousands digit of 23238? Result: 3 Inquiry: What is the hundred thousands digit of 277706? Result: 2 Inquiry: What is the units digit of 3046791? Result: 1 Inquiry: What is the tens digit of 52739? Result: 3 Inquiry: What is the thousands digit
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arithmetic: nearest integer root -------------------------------- Example: What is 352 to the power of 1/7, to the nearest integer? Derivation: 2 Example: What is 664709 to the power of 1/7, to the nearest integer? Derivation: 7 Example: What is 1936584934 to the power of 1/2, to the nearest integer? Derivation: 44007 Example: What is 699 to the power of 1/2, to the nearest integer? Derivation: 26 Example: What is the cube root of 5102158 to the nearest integer? Derivation: 172 Example: What is 45514995 to the power of 1/2, to the nearest integer? Derivation: 6746 Example: What is the cube root of 66654 to the nearest integer? Derivation: 41 Example: What is the square root of 719446857 to the nearest integer? Derivation: 26823 Example: What is 276925 to the power of 1/10, to the nearest integer? Derivation: 4 Example: What is 210077 to the power of 1/5, to the nearest integer? Derivation: 12 Example: What is the square root of 9922 to the nearest integer? Derivation: 100 Example: What is 4219137006 to the power of 1/8, to the nearest integer? Derivation: 16 Example: What is 7479127 to the power of 1/5, to the nearest integer? Derivation: 24 Example: What is the fourth root of 47001479 to the nearest integer? Derivation: 83 Example: What is 187138 to the power of 1/3, to the nearest integer? Derivation: 57 Example: What is 534034554 to the power of 1/2, to the nearest integer? Derivation: 23109 Example: What is the square root of 94355 to the nearest integer? Derivation: 307 Example: What is 4570 to the power of 1/2, to the nearest integer? Derivation: 68 Example: What is the eighth root of 3797191 to the nearest integer? Derivation: 7 Example: What is the sixth root of 1126533 to the nearest integer? Derivation: 10 Example: What is 123548 to the power of 1/10, to the nearest integer? Derivation: 3 Example: What is 4579776 to the power of 1/2, to the nearest integer? Derivation: 2140 Example: What is the third root of 604693 to the nearest integer? Derivation: 85 Ex
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numbers: gcd ------------ Q): Calculate the highest common factor of 632 and 2544. A: 8 Q): Calculate the greatest common factor of 939 and 505495. A: 313 Q): Calculate the highest common factor of 1237502 and 98938. A: 518 Q): Calculate the highest common divisor of 365 and 219. A: 73 Q): What is the highest common factor of 40 and 1220? A: 20 Q): What is the greatest common divisor of 218023 and 4746937? A: 403 Q): What is the highest common divisor of 635 and 1143? A: 127 Q): What is the greatest common divisor of 136 and 476? A: 68 Q): Calculate the greatest common factor of 150 and 1866. A: 6 Q): What is the greatest common factor of 1246 and 890? A: 178 Q): What is the greatest common factor of 5665 and 165? A: 55 Q): Calculate the highest common divisor of 279 and 62. A: 31 Q): Calculate the highest common factor of 180 and 20. A: 20 Q): Calculate the greatest common factor of 1456 and 11632166. A: 182 Q): What is the greatest common factor of 469 and 21? A: 7 Q): Calculate the highest common factor of 591765 and 30. A: 15 Q): Calculate the greatest common divisor of 2918495 and 343877. A: 991 Q): Calculate the highest common factor of 135 and 628920. A: 45 Q): What is the highest common divisor of 50 and 125? A: 25 Q): What is the highest common divisor of 20 and 32? A: 4 Q): Calculate the highest common factor of 11148318 and 3204. A: 1602 Q): Calculate the highest common divisor of 90 and 35737110. A: 90 Q): Calculate the greatest common factor of 50190 and 14. A: 14 Q): What is the highest common factor of 534 and 148599028? A: 178 Q): Calculate the highest common factor of 7361 and 51. A: 17 Q): Calculate the greatest common divisor of 179073 and 10665. A: 9 Q): Calculate the highest common divisor of 1199 and 13885401. A: 109 Q): Calculate the highest common factor of 4563312 and 1872. A: 624 Q): What is the highest common divisor of 1071 and 3087? A: 63 Q): What is the greatest common factor of 26004 and 1023? A: 33 Q): What is the greatest common divi
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arithmetic: nearest integer root -------------------------------- Q/A: What is the tenth root of 3545168 to the nearest integer? Response: 5 Q/A: What is the seventh root of 783533886 to the nearest integer? Response: 19 Q/A: What is the third root of 35284 to the nearest integer? Response: 33 Q/A: What is 33004 to the power of 1/3, to the nearest integer? Response: 32 Q/A: What is 15309 to the power of 1/8, to the nearest integer? Response: 3 Q/A: What is 1216 to the power of 1/5, to the nearest integer? Response: 4 Q/A: What is the fourth root of 120154287 to the nearest integer? Response: 105 Q/A: What is 289566 to the power of 1/2, to the nearest integer? Response: 538 Q/A: What is the cube root of 366401 to the nearest integer? Response: 72 Q/A: What is 38553190 to the power of 1/6, to the nearest integer? Response: 18 Q/A: What is 7885 to the power of 1/2, to the nearest integer? Response: 89 Q/A: What is 1744072 to the power of 1/2, to the nearest integer? Response: 1321 Q/A: What is the seventh root of 16 to the nearest integer? Response: 1 Q/A: What is the square root of 65229 to the nearest integer? Response: 255 Q/A: What is the square root of 1819 to the nearest integer? Response: 43 Q/A: What is the square root of 49463 to the nearest integer? Response: 222 Q/A: What is 9844379 to the power of 1/7, to the nearest integer? Response: 10 Q/A: What is the square root of 6690 to the nearest integer? Response: 82 Q/A: What is the seventh root of 133557 to the nearest integer? Response: 5 Q/A: What is the third root of 4022360136 to the nearest integer? Response: 1590 Q/A: What is the cube root of 36531645 to the nearest integer? Response: 332 Q/A: What is 6157858 to the power of 1/8, to the nearest integer? Response: 7 Q/A: What is the cube root of 3826086 to the nearest integer? Response: 156 Q/A: What is the square root of 290245 to the nearest integer? Response: 539 Q/A: What is the cube root of 60763 to the nearest integer? Response: 39 Q/A: What is the t
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numbers: is factor ------------------ Given: Is 568595476 a multiple of 3197? Calculation: False Given: Does 55 divide 3795? Calculation: True Given: Does 9 divide 8604? Calculation: True Given: Is 47544 a multiple of 566? Calculation: True Given: Is 6124 a factor of 1742161644? Calculation: True Given: Is 10628800 a multiple of 16? Calculation: True Given: Is 26934 a multiple of 201? Calculation: True Given: Does 12 divide 22626? Calculation: False Given: Does 21 divide 168? Calculation: True Given: Is 5038 a multiple of 11? Calculation: True Given: Is 753652481 a multiple of 320? Calculation: False Given: Is 64 a factor of 12687? Calculation: False Given: Does 213 divide 41162489? Calculation: False Given: Does 34 divide 43231? Calculation: False Given: Does 99 divide 1578258? Calculation: True Given: Does 62 divide 80722448? Calculation: False Given: Is 973717 a multiple of 258? Calculation: False Given: Does 17 divide 27931? Calculation: True Given: Does 59 divide 1104657? Calculation: True Given: Is 140008024 a multiple of 3692? Calculation: True Given: Is 421 a factor of 13745? Calculation: False Given: Is 538412 a multiple of 14? Calculation: True Given: Does 21 divide 34908959? Calculation: False Given: Does 30 divide 112239431? Calculation: False Given: Is 26 a factor of 2096377972? Calculation: True Given: Is 53 a multiple of 34? Calculation: False Given: Does 9 divide 53226518? Calculation: False Given: Is 1326 a multiple of 13? Calculation: True Given: Does 5 divide 338? Calculation: False Given: Is 8622733 a multiple of 111? Calculation: False Given: Is 709 a factor of 6071167? Calculation: True Given: Is 40 a factor of 1904252? Calculation: False Given: Does 61 divide 1147? Calculation: False Given: Is 2184 a factor of 685683629? Calculation: False Given: Is 143 a multiple of 11? Calculation: True Given: Is 17161 a multiple of 122? Calculation: False Given: Does 75 divide 55718325? Calculation: True Given: Is 16 a factor of 576? Calculation: True Given
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probability: swr p sequence --------------------------- Math Problem: Two letters picked without replacement from {d: 2, h: 5}. Give prob of sequence hh. A.: 10/21 Math Problem: Four letters picked without replacement from {c: 1, p: 5, a: 2, o: 3, v: 1, s: 1}. What is prob of sequence cpva? A.: 1/1716 Math Problem: Two letters picked without replacement from dddddddduddudddddddu. Give prob of sequence du. A.: 51/380 Math Problem: What is prob of sequence wh when two letters picked without replacement from {h: 2, m: 1, w: 7}? A.: 7/45 Math Problem: What is prob of sequence ooz when three letters picked without replacement from gozozozzzzo? A.: 4/55 Math Problem: Two letters picked without replacement from yhyhthyhyyh. What is prob of sequence ht? A.: 1/22 Math Problem: Calculate prob of sequence xpz when three letters picked without replacement from igspxgsszzz. A.: 1/330 Math Problem: What is prob of sequence ch when two letters picked without replacement from {f: 5, o: 2, h: 3, l: 3, c: 2}? A.: 1/35 Math Problem: Four letters picked without replacement from xiiaxixizxtxiwwx. What is prob of sequence iaxi? A.: 1/364 Math Problem: Two letters picked without replacement from lklllllllqllkllll. What is prob of sequence qk? A.: 1/136 Math Problem: Calculate prob of sequence gddg when four letters picked without replacement from {d: 2, g: 2}. A.: 1/6 Math Problem: Two letters picked without replacement from {f: 1, n: 7, r: 1, y: 4}. What is prob of sequence yn? A.: 7/39 Math Problem: What is prob of sequence ppkp when four letters picked without replacement from {k: 6, p: 6}? A.: 2/33 Math Problem: Four letters picked without replacement from {v: 2, a: 1, r: 1, k: 1, u: 1, b: 1}. Give prob of sequence ruba. A.: 1/840 Math Problem: Three letters picked without replacement from ckbfffk. Give prob of sequence cfb. A.: 1/70 Math Problem: Four letters picked without replacement from qenqolleeexl. Give prob of sequence lllo. A.: 1/1980 Math Problem: Four letters picked without
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measurement: conversion ----------------------- Math Q: How many months are there in 4/15 of a century? Result: 320 Math Q: How many millilitres are there in 26/5 of a litre? Result: 5200 Math Q: How many months are there in 53/5 of a decade? Result: 1272 Math Q: What is 7/3 of a day in minutes? Result: 3360 Math Q: How many litres are there in 550.1117ml? Result: 0.5501117 Math Q: How many micrograms are there in 32/5 of a milligram? Result: 6400 Math Q: How many millimeters are there in 6/5 of a meter? Result: 1200 Math Q: How many milliseconds are there in 276409.1 weeks? Result: 167172223680000 Math Q: Convert 134.319ms to minutes. Result: 0.00223865 Math Q: What is 2/21 of a week in minutes? Result: 960 Math Q: How many millilitres are there in one quarter of a litre? Result: 250 Math Q: How many millimeters are there in 0.0843203 meters? Result: 84.3203 Math Q: What is twenty-seven fifths of a litre in millilitres? Result: 5400 Math Q: What is five eighths of a century in months? Result: 750 Math Q: What is twenty-five quarters of a micrometer in nanometers? Result: 6250 Math Q: How many milliseconds are there in 40903.77ns? Result: 0.04090377 Math Q: What is 200063.6 years in decades? Result: 20006.36 Math Q: What is 1059180.003 milliseconds in weeks? Result: 0.0017512896875 Math Q: How many nanometers are there in 5.940909mm? Result: 5940909 Math Q: How many hours are there in 21.353454s? Result: 0.005931515 Math Q: Convert 7036243.2s to days. Result: 81.438 Math Q: How many decades are there in 1/10 of a century? Result: 1 Math Q: Convert 13.1139 micrograms to kilograms. Result: 0.0000000131139 Math Q: How many microseconds are there in eleven eighths of a millisecond? Result: 1375 Math Q: How many millilitres are there in 5/4 of a litre? Result: 1250 Math Q: How many micrometers are there in 55273.43m? Result: 55273430000 Math Q: What is 969512.7ng in micrograms? Result: 969.5127 Math Q: What is 5879.089 millilitres in litres? Result: 5.879089 Math Q: What
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arithmetic: nearest integer root -------------------------------- Let: What is the cube root of 9365980 to the nearest integer? β†’: 211 Let: What is the square root of 2689412291 to the nearest integer? β†’: 51860 Let: What is the square root of 1051809356 to the nearest integer? β†’: 32432 Let: What is the ninth root of 4331535 to the nearest integer? β†’: 5 Let: What is 443 to the power of 1/3, to the nearest integer? β†’: 8 Let: What is the cube root of 557761 to the nearest integer? β†’: 82 Let: What is 25318774 to the power of 1/5, to the nearest integer? β†’: 30 Let: What is 438957362 to the power of 1/3, to the nearest integer? β†’: 760 Let: What is the third root of 3016 to the nearest integer? β†’: 14 Let: What is 44995230 to the power of 1/2, to the nearest integer? β†’: 6708 Let: What is the square root of 156073 to the nearest integer? β†’: 395 Let: What is 7261705 to the power of 1/6, to the nearest integer? β†’: 14 Let: What is the tenth root of 109722519 to the nearest integer? β†’: 6 Let: What is 131218410 to the power of 1/2, to the nearest integer? β†’: 11455 Let: What is the third root of 2033 to the nearest integer? β†’: 13 Let: What is 7468414 to the power of 1/9, to the nearest integer? β†’: 6 Let: What is 39325 to the power of 1/4, to the nearest integer? β†’: 14 Let: What is the square root of 199851211 to the nearest integer? β†’: 14137 Let: What is the sixth root of 0 to the nearest integer? β†’: 0 Let: What is the cube root of 5600162 to the nearest integer? β†’: 178 Let: What is 2879547222 to the power of 1/8, to the nearest integer? β†’: 15 Let: What is 517726252 to the power of 1/2, to the nearest integer? β†’: 22754 Let: What is 148125968 to the power of 1/2, to the nearest integer? β†’: 12171 Let: What is 31839025 to the power of 1/3, to the nearest integer? β†’: 317 Let: What is 32832 to the power of 1/10, to the nearest integer? β†’: 3 Let: What is the square root of 64627 to the nearest integer? β†’: 254 Let: What is 6077092781 to the power of 1/2, to the nearest integer? β†’: 77956
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probability: swr p level set ---------------------------- Exercise: What is prob of picking 1 q and 1 s when two letters picked without replacement from rksrkqsuusrqkukmsskk? Fix: 1/19 Exercise: Three letters picked without replacement from yyjxfjehfyf. What is prob of picking 2 x and 1 h? Fix: 0 Exercise: What is prob of picking 4 o when four letters picked without replacement from {o: 6}? Fix: 1 Exercise: What is prob of picking 2 n when two letters picked without replacement from wnmoofnmswsfwnfn? Fix: 1/20 Exercise: Two letters picked without replacement from {n: 1, s: 5, d: 5, k: 1, b: 6, a: 2}. Give prob of picking 1 s and 1 k. Fix: 1/38 Exercise: Calculate prob of picking 3 w and 1 n when four letters picked without replacement from jwwnwnbw. Fix: 4/35 Exercise: What is prob of picking 2 h when two letters picked without replacement from {x: 2, z: 8, h: 2}? Fix: 1/66 Exercise: What is prob of picking 2 y when two letters picked without replacement from ywyyyyyyyyyw? Fix: 15/22 Exercise: Calculate prob of picking 1 w and 3 q when four letters picked without replacement from {n: 1, k: 1, q: 1, w: 2}. Fix: 0 Exercise: Two letters picked without replacement from ppxnpnnp. Give prob of picking 1 p and 1 n. Fix: 3/7 Exercise: Three letters picked without replacement from {p: 2, e: 3, c: 5, a: 9}. What is prob of picking 1 c, 1 a, and 1 e? Fix: 45/323 Exercise: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from fdpuccpfcc. Fix: 8/45 Exercise: Four letters picked without replacement from xhhxhhxxhhh. Give prob of picking 4 x. Fix: 1/330 Exercise: Four letters picked without replacement from tlttetttectletteett. Give prob of picking 1 l and 3 t. Fix: 55/646 Exercise: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from jjk. Fix: 2/3 Exercise: Two letters picked without replacement from {l: 1, j: 7, f: 1, d: 1, e: 2, m: 2}. What is prob of picking 1 e and 1 m? Fix: 4/91 Exercise: Two letters picked w
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numbers: is prime ----------------- Ask: Is 5019858139 a prime number? Calculation: True Ask: Is 36274853891 prime? Calculation: False Ask: Is 636533 composite? Calculation: False Ask: Is 3449 composite? Calculation: False Ask: Is 29335279 a prime number? Calculation: False Ask: Is 197175349 a prime number? Calculation: False Ask: Is 25161030821 a prime number? Calculation: True Ask: Is 3867 composite? Calculation: True Ask: Is 103135 a composite number? Calculation: True Ask: Is 42778055 composite? Calculation: True Ask: Is 73121 a prime number? Calculation: True Ask: Is 779 a prime number? Calculation: False Ask: Is 62856983 prime? Calculation: False Ask: Is 14473074137 a prime number? Calculation: True Ask: Is 345471482 a composite number? Calculation: True Ask: Is 1337 a composite number? Calculation: True Ask: Is 18643262623 prime? Calculation: False Ask: Is 10778431 a composite number? Calculation: True Ask: Is 13268042063 prime? Calculation: True Ask: Is 26448689 prime? Calculation: False Ask: Is 4880204971 prime? Calculation: True Ask: Is 526511 a prime number? Calculation: True Ask: Is 497584771 composite? Calculation: False Ask: Is 438509 a prime number? Calculation: False Ask: Is 4089792419 prime? Calculation: True Ask: Is 11576899363 a composite number? Calculation: False Ask: Is 2821120255 a composite number? Calculation: True Ask: Is 124337 a prime number? Calculation: True Ask: Is 2440643 prime? Calculation: True Ask: Is 14473847 a composite number? Calculation: True Ask: Is 78963917 a prime number? Calculation: False Ask: Is 297731 a composite number? Calculation: True Ask: Is 81287 a composite number? Calculation: True Ask: Is 253 composite? Calculation: True Ask: Is 22294763 composite? Calculation: False Ask: Is 2515616953 prime? Calculation: False Ask: Is 48239773 a prime number? Calculation: False Ask: Is 208837589 a composite number? Calculation: False Ask: Is 7522067549 a prime number? Calculation: True Ask: Is 50989 a prime number? Calculation
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measurement: time ----------------- Exercise: What is 611 minutes after 1:42 PM? Output: 11:53 PM Exercise: What is 685 minutes before 10:15 PM? Output: 10:50 AM Exercise: How many minutes are there between 11:10 AM and 6:44 PM? Output: 454 Exercise: How many minutes are there between 9:53 AM and 7:52 PM? Output: 599 Exercise: How many minutes are there between 2:51 AM and 1:02 PM? Output: 611 Exercise: How many minutes are there between 3:10 AM and 8:27 AM? Output: 317 Exercise: How many minutes are there between 7:33 PM and 1:15 AM? Output: 342 Exercise: What is 456 minutes after 5:56 PM? Output: 1:32 AM Exercise: What is 322 minutes after 5:54 AM? Output: 11:16 AM Exercise: How many minutes are there between 11:52 PM and 7:30 AM? Output: 458 Exercise: How many minutes are there between 12:22 AM and 12:32 AM? Output: 10 Exercise: How many minutes are there between 3:17 PM and 1:00 AM? Output: 583 Exercise: What is 568 minutes before 1:26 AM? Output: 3:58 PM Exercise: How many minutes are there between 11:18 PM and 9:46 AM? Output: 628 Exercise: What is 553 minutes before 6:38 PM? Output: 9:25 AM Exercise: What is 136 minutes after 5:47 PM? Output: 8:03 PM Exercise: How many minutes are there between 2:09 AM and 12:53 PM? Output: 644 Exercise: What is 446 minutes after 12:14 PM? Output: 7:40 PM Exercise: What is 583 minutes after 9:39 PM? Output: 7:22 AM Exercise: What is 700 minutes before 7:52 PM? Output: 8:12 AM Exercise: How many minutes are there between 2:16 PM and 3:16 PM? Output: 60 Exercise: What is 130 minutes after 10:41 PM? Output: 12:51 AM Exercise: What is 446 minutes before 9:35 AM? Output: 2:09 AM Exercise: What is 605 minutes before 11:02 AM? Output: 12:57 AM Exercise: How many minutes are there between 4:23 AM and 2:47 PM? Output: 624 Exercise: How many minutes are there between 12:32 PM and 6:13 PM? Output: 341 Exercise: How many minutes are there between 10:34 AM and 1:35 PM? Output: 181 Exercise: How many minutes are there between 2:41 AM and 8
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measurement: time ----------------- Issue: What is 690 minutes before 10:41 PM? Soln: 11:11 AM Issue: What is 467 minutes before 11:27 PM? Soln: 3:40 PM Issue: How many minutes are there between 12:59 AM and 2:02 AM? Soln: 63 Issue: How many minutes are there between 10:11 PM and 11:43 PM? Soln: 92 Issue: What is 445 minutes after 8:44 AM? Soln: 4:09 PM Issue: How many minutes are there between 2:24 PM and 4:59 PM? Soln: 155 Issue: How many minutes are there between 5:41 PM and 10:36 PM? Soln: 295 Issue: What is 688 minutes after 9:29 PM? Soln: 8:57 AM Issue: What is 251 minutes before 6:10 AM? Soln: 1:59 AM Issue: How many minutes are there between 7:33 AM and 6:16 PM? Soln: 643 Issue: What is 664 minutes before 10:03 AM? Soln: 10:59 PM Issue: How many minutes are there between 10:37 PM and 7:00 AM? Soln: 503 Issue: What is 616 minutes after 4:23 PM? Soln: 2:39 AM Issue: How many minutes are there between 1:29 AM and 7:29 AM? Soln: 360 Issue: How many minutes are there between 9:09 PM and 6:51 AM? Soln: 582 Issue: What is 473 minutes after 7:56 PM? Soln: 3:49 AM Issue: How many minutes are there between 2:46 PM and 4:58 PM? Soln: 132 Issue: How many minutes are there between 9:18 PM and 9:29 PM? Soln: 11 Issue: How many minutes are there between 11:35 PM and 2:00 AM? Soln: 145 Issue: What is 117 minutes before 5:01 AM? Soln: 3:04 AM Issue: How many minutes are there between 2:50 AM and 10:28 AM? Soln: 458 Issue: What is 503 minutes after 10:51 AM? Soln: 7:14 PM Issue: What is 690 minutes before 3:01 AM? Soln: 3:31 PM Issue: What is 502 minutes after 12:39 PM? Soln: 9:01 PM Issue: How many minutes are there between 8:23 PM and 3:42 AM? Soln: 439 Issue: What is 300 minutes before 11:42 AM? Soln: 6:42 AM Issue: How many minutes are there between 6:55 PM and 3:29 AM? Soln: 514 Issue: What is 697 minutes after 1:41 AM? Soln: 1:18 PM Issue: How many minutes are there between 12:04 PM and 2:55 PM? Soln: 171 Issue: What is 502 minutes before 9:20 AM? Soln: 12:58 AM Issue:
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numbers: place value -------------------- Task: What is the thousands digit of 3682380616? A: 0 Task: What is the units digit of 666560? A: 0 Task: What is the tens digit of 659? A: 5 Task: What is the hundred thousands digit of 471520? A: 4 Task: What is the hundreds digit of 6856500? A: 5 Task: What is the tens digit of 3998? A: 9 Task: What is the units digit of 3439? A: 9 Task: What is the hundreds digit of 510? A: 5 Task: What is the hundreds digit of 3391085? A: 0 Task: What is the ten thousands digit of 1393512? A: 9 Task: What is the thousands digit of 273522470? A: 2 Task: What is the units digit of 228539? A: 9 Task: What is the ten thousands digit of 1019710? A: 1 Task: What is the ten millions digit of 4100581968? A: 0 Task: What is the billions digit of 1238402927? A: 1 Task: What is the hundreds digit of 200403435? A: 4 Task: What is the units digit of 3656714426? A: 6 Task: What is the thousands digit of 832028342? A: 8 Task: What is the units digit of 470? A: 0 Task: What is the hundreds digit of 4543313? A: 3 Task: What is the hundreds digit of 627104486? A: 4 Task: What is the millions digit of 897440810? A: 7 Task: What is the tens digit of 3692063886? A: 8 Task: What is the tens digit of 2229? A: 2 Task: What is the tens digit of 133595? A: 9 Task: What is the units digit of 1704346? A: 6 Task: What is the thousands digit of 100079? A: 0 Task: What is the hundreds digit of 13755? A: 7 Task: What is the hundred thousands digit of 499066? A: 4 Task: What is the ten thousands digit of 982927? A: 8 Task: What is the units digit of 133? A: 3 Task: What is the units digit of 829? A: 9 Task: What is the thousands digit of 1377198759? A: 8 Task: What is the tens digit of 635? A: 3 Task: What is the tens digit of 8838? A: 3 Task: What is the thousands digit of 726097? A: 6 Task: What is the units digit of 347045997? A: 7 Task: What is the ten millions digit of 209121703? A: 0 Task: What is the thousands digit of 333901? A: 3 Task: What is the units digit
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numbers: place value -------------------- Example: What is the tens digit of 2680? A: 8 Example: What is the thousands digit of 730054? A: 0 Example: What is the units digit of 2130? A: 0 Example: What is the hundred millions digit of 165195594? A: 1 Example: What is the hundreds digit of 1246? A: 2 Example: What is the ten millions digit of 1736898728? A: 3 Example: What is the tens digit of 1404410? A: 1 Example: What is the hundred millions digit of 1555185565? A: 5 Example: What is the ten thousands digit of 41245? A: 4 Example: What is the tens digit of 46084? A: 8 Example: What is the thousands digit of 338626213? A: 6 Example: What is the hundreds digit of 4194618? A: 6 Example: What is the units digit of 6192? A: 2 Example: What is the ten thousands digit of 106421047? A: 2 Example: What is the hundred thousands digit of 6529665? A: 5 Example: What is the millions digit of 71603059? A: 1 Example: What is the units digit of 93670? A: 0 Example: What is the units digit of 536013? A: 3 Example: What is the millions digit of 37399216? A: 7 Example: What is the hundred thousands digit of 228667? A: 2 Example: What is the tens digit of 10735? A: 3 Example: What is the units digit of 307729877? A: 7 Example: What is the hundred thousands digit of 112039? A: 1 Example: What is the units digit of 26337926? A: 6 Example: What is the millions digit of 6348780? A: 6 Example: What is the tens digit of 449512913? A: 1 Example: What is the thousands digit of 135176? A: 5 Example: What is the ten thousands digit of 205248? A: 0 Example: What is the units digit of 1209864? A: 4 Example: What is the hundreds digit of 320878? A: 8 Example: What is the ten thousands digit of 278245? A: 7 Example: What is the thousands digit of 9538244? A: 8 Example: What is the millions digit of 4416632953? A: 6 Example: What is the hundred thousands digit of 24110878? A: 1 Example: What is the hundred millions digit of 591969054? A: 5 Example: What is the tens digit of 62? A: 6 Example: What i
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arithmetic: nearest integer root -------------------------------- Request: What is the cube root of 219756 to the nearest integer? Calculation: 60 Request: What is 30612 to the power of 1/5, to the nearest integer? Calculation: 8 Request: What is 6045 to the power of 1/5, to the nearest integer? Calculation: 6 Request: What is the fourth root of 36850 to the nearest integer? Calculation: 14 Request: What is the square root of 381930 to the nearest integer? Calculation: 618 Request: What is the square root of 366 to the nearest integer? Calculation: 19 Request: What is 2105 to the power of 1/10, to the nearest integer? Calculation: 2 Request: What is the third root of 307254979 to the nearest integer? Calculation: 675 Request: What is the cube root of 1890552 to the nearest integer? Calculation: 124 Request: What is 49003 to the power of 1/6, to the nearest integer? Calculation: 6 Request: What is 16352 to the power of 1/3, to the nearest integer? Calculation: 25 Request: What is the square root of 1826148 to the nearest integer? Calculation: 1351 Request: What is the square root of 5433919 to the nearest integer? Calculation: 2331 Request: What is 372 to the power of 1/2, to the nearest integer? Calculation: 19 Request: What is the ninth root of 9792643 to the nearest integer? Calculation: 6 Request: What is 2276 to the power of 1/3, to the nearest integer? Calculation: 13 Request: What is the fifth root of 4645 to the nearest integer? Calculation: 5 Request: What is 32026 to the power of 1/6, to the nearest integer? Calculation: 6 Request: What is the third root of 146396022 to the nearest integer? Calculation: 527 Request: What is the tenth root of 1149 to the nearest integer? Calculation: 2 Request: What is the square root of 2338738965 to the nearest integer? Calculation: 48361 Request: What is the third root of 2232550758 to the nearest integer? Calculation: 1307 Request: What is the square root of 57519173 to the nearest integer? Calculation: 7584 Request: Wha
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numbers: is factor ------------------ Step: Is 8 a factor of 1432? Conclusion: True Step: Is 1643 a factor of 10769865? Conclusion: True Step: Is 275 a multiple of 5? Conclusion: True Step: Does 27 divide 60883758? Conclusion: True Step: Is 175 a factor of 113011150? Conclusion: True Step: Is 10454757 a multiple of 429? Conclusion: False Step: Is 1078 a factor of 568073622? Conclusion: False Step: Does 24 divide 1100544? Conclusion: True Step: Is 47 a factor of 1814138? Conclusion: False Step: Does 9 divide 66009456? Conclusion: True Step: Does 2952 divide 287256168? Conclusion: True Step: Is 6 a factor of 819? Conclusion: False Step: Is 2 a factor of 483? Conclusion: False Step: Does 388 divide 227060704? Conclusion: True Step: Is 15930 a multiple of 15? Conclusion: True Step: Is 8 a factor of 874? Conclusion: False Step: Does 32 divide 5475712608? Conclusion: True Step: Is 8 a factor of 920? Conclusion: True Step: Is 56 a factor of 2134? Conclusion: False Step: Does 1214 divide 247544349? Conclusion: False Step: Does 330 divide 114852870? Conclusion: True Step: Is 827858664 a multiple of 1897? Conclusion: False Step: Is 700 a multiple of 25? Conclusion: True Step: Is 18339 a multiple of 35? Conclusion: False Step: Is 613 a factor of 473741112? Conclusion: True Step: Is 48 a factor of 34935264? Conclusion: True Step: Is 42 a factor of 259067718? Conclusion: True Step: Is 393 a factor of 6797544? Conclusion: False Step: Is 23 a factor of 25442878? Conclusion: False Step: Is 6964524 a multiple of 1044? Conclusion: True Step: Is 6 a factor of 325923? Conclusion: False Step: Is 362 a factor of 2016276288? Conclusion: True Step: Is 24 a factor of 29670803? Conclusion: False Step: Does 23 divide 988? Conclusion: False Step: Is 2809 a factor of 118132789? Conclusion: False Step: Is 13020 a multiple of 60? Conclusion: True Step: Does 9 divide 301455918? Conclusion: True Step: Is 255 a factor of 8572495? Conclusion: False Step: Is 2 a factor of 250967? Conclusion: False Ste
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probability: swr p level set ---------------------------- Q): Two letters picked without replacement from {l: 1, c: 5, w: 4, r: 1, k: 1}. Give prob of picking 2 w. Answer: 1/11 Q): Calculate prob of picking 2 p and 2 u when four letters picked without replacement from {e: 13, p: 2, u: 3}. Answer: 1/1020 Q): What is prob of picking 2 e and 2 y when four letters picked without replacement from {h: 4, e: 4, y: 2}? Answer: 1/35 Q): Two letters picked without replacement from {x: 2, u: 1, r: 10, d: 2, f: 1}. Give prob of picking 1 x and 1 d. Answer: 1/30 Q): Three letters picked without replacement from {h: 3, n: 17}. Give prob of picking 2 n and 1 h. Answer: 34/95 Q): Calculate prob of picking 3 h and 1 y when four letters picked without replacement from {u: 5, k: 3, y: 1, h: 6}. Answer: 4/273 Q): Three letters picked without replacement from lxttptx. What is prob of picking 2 t and 1 p? Answer: 3/35 Q): Four letters picked without replacement from llblvbjvcmv. What is prob of picking 1 c, 1 l, 1 b, and 1 v? Answer: 3/55 Q): Two letters picked without replacement from {x: 1, u: 1, t: 1, q: 1, w: 1}. Give prob of picking 1 x and 1 t. Answer: 1/10 Q): Four letters picked without replacement from {b: 3, g: 3}. Give prob of picking 2 b and 2 g. Answer: 3/5 Q): Calculate prob of picking 3 z when three letters picked without replacement from {b: 1, z: 3, l: 1}. Answer: 1/10 Q): Calculate prob of picking 1 t and 2 q when three letters picked without replacement from {q: 10, t: 2}. Answer: 9/22 Q): Two letters picked without replacement from wofjj. What is prob of picking 1 w and 1 f? Answer: 1/10 Q): What is prob of picking 2 r when two letters picked without replacement from {r: 7, w: 2}? Answer: 7/12 Q): What is prob of picking 1 b, 1 o, and 1 s when three letters picked without replacement from ksebogb? Answer: 2/35 Q): Three letters picked without replacement from {j: 5, o: 5}. What is prob of picking 2 j and 1 o? Answer: 5/12 Q): Three letters picked without replacement f
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arithmetic: nearest integer root -------------------------------- Case: What is 177 to the power of 1/6, to the nearest integer? Steps: 2 Case: What is 8660085 to the power of 1/3, to the nearest integer? Steps: 205 Case: What is the square root of 7570655626 to the nearest integer? Steps: 87010 Case: What is 329607353 to the power of 1/3, to the nearest integer? Steps: 691 Case: What is the square root of 1091856327 to the nearest integer? Steps: 33043 Case: What is 3234 to the power of 1/8, to the nearest integer? Steps: 3 Case: What is the tenth root of 2323295 to the nearest integer? Steps: 4 Case: What is 238 to the power of 1/2, to the nearest integer? Steps: 15 Case: What is the cube root of 238379395 to the nearest integer? Steps: 620 Case: What is 32799795 to the power of 1/3, to the nearest integer? Steps: 320 Case: What is the square root of 1274 to the nearest integer? Steps: 36 Case: What is the square root of 34845500 to the nearest integer? Steps: 5903 Case: What is the square root of 167432941 to the nearest integer? Steps: 12940 Case: What is the square root of 2163324147 to the nearest integer? Steps: 46512 Case: What is 3111 to the power of 1/3, to the nearest integer? Steps: 15 Case: What is the third root of 112660 to the nearest integer? Steps: 48 Case: What is 23763789 to the power of 1/2, to the nearest integer? Steps: 4875 Case: What is the cube root of 32252 to the nearest integer? Steps: 32 Case: What is 11573243 to the power of 1/2, to the nearest integer? Steps: 3402 Case: What is the fifth root of 3682464 to the nearest integer? Steps: 21 Case: What is the eighth root of 1833 to the nearest integer? Steps: 3 Case: What is the sixth root of 2444235662 to the nearest integer? Steps: 37 Case: What is 26406 to the power of 1/10, to the nearest integer? Steps: 3 Case: What is the square root of 2129 to the nearest integer? Steps: 46 Case: What is 516338 to the power of 1/9, to the nearest integer? Steps: 4 Case: What is the square root of 21
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numbers: is factor ------------------ Prompt: Is 32 a factor of 288090048? Outcome: True Prompt: Is 23 a factor of 18561? Outcome: True Prompt: Is 6111497 a multiple of 991? Outcome: True Prompt: Does 8 divide 16? Outcome: True Prompt: Does 7 divide 282? Outcome: False Prompt: Is 167 a multiple of 18? Outcome: False Prompt: Is 3 a factor of 117535708? Outcome: False Prompt: Is 2718657 a multiple of 9? Outcome: True Prompt: Is 58 a factor of 743? Outcome: False Prompt: Is 1368284 a multiple of 30? Outcome: False Prompt: Does 17 divide 12487078? Outcome: True Prompt: Does 47 divide 844026? Outcome: True Prompt: Is 74438812 a multiple of 449? Outcome: True Prompt: Is 30 a factor of 1800? Outcome: True Prompt: Is 10560 a multiple of 120? Outcome: True Prompt: Is 148 a factor of 7738? Outcome: False Prompt: Does 4 divide 34? Outcome: False Prompt: Does 79 divide 22064621? Outcome: True Prompt: Does 179 divide 876083450? Outcome: False Prompt: Is 6 a factor of 64896? Outcome: True Prompt: Is 4309 a factor of 419550094? Outcome: True Prompt: Does 1449 divide 2732814? Outcome: True Prompt: Does 1208 divide 856881512? Outcome: True Prompt: Is 98336022 a multiple of 136? Outcome: False Prompt: Is 43 a factor of 1830? Outcome: False Prompt: Does 143 divide 11828820? Outcome: False Prompt: Is 6 a factor of 481484005? Outcome: False Prompt: Is 151217 a multiple of 59? Outcome: True Prompt: Does 85 divide 8245? Outcome: True Prompt: Does 10 divide 1530? Outcome: True Prompt: Is 14024325 a multiple of 525? Outcome: True Prompt: Does 52 divide 90528152? Outcome: True Prompt: Is 5 a factor of 8176195? Outcome: True Prompt: Does 70 divide 246868? Outcome: False Prompt: Does 14 divide 16102? Outcome: False Prompt: Is 5052 a factor of 2091391596? Outcome: True Prompt: Is 9 a factor of 154719? Outcome: True Prompt: Does 10 divide 34850? Outcome: True Prompt: Does 97 divide 9298355? Outcome: False Prompt: Does 140 divide 104720? Outcome: True Prompt: Is 406861 a multiple of 119? Outcome:
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