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numbers: div remainder ---------------------- Part A: Calculate the remainder when 275 is divided by 170. Sol: 105 Part A: Calculate the remainder when 4535 is divided by 28. Sol: 27 Part A: Calculate the remainder when 193 is divided by 22. Sol: 17 Part A: What is the remainder when 996208 is divided by 123? Sol: 31 Part A: What is the remainder when 270683 is divided by 15910? Sol: 213 Part A: Calculate the remainder when 13874 is divided by 1540. Sol: 14 Part A: Calculate the remainder when 6398 is divided by 32. Sol: 30 Part A: What is the remainder when 48 is divided by 4? Sol: 0 Part A: Calculate the remainder when 125658 is divided by 5051. Sol: 4434 Part A: What is the remainder when 928 is divided by 47? Sol: 35 Part A: What is the remainder when 264 is divided by 19? Sol: 17 Part A: Calculate the remainder when 134 is divided by 8. Sol: 6 Part A: Calculate the remainder when 757214 is divided by 135. Sol: 134 Part A: What is the remainder when 146456545 is divided by 439? Sol: 438 Part A: What is the remainder when 344487 is divided by 85851? Sol: 1083 Part A: What is the remainder when 150 is divided by 76? Sol: 74 Part A: What is the remainder when 534269 is divided by 178088? Sol: 5 Part A: What is the remainder when 2291 is divided by 198? Sol: 113 Part A: What is the remainder when 1340135 is divided by 1906? Sol: 217 Part A: Calculate the remainder when 144 is divided by 53. Sol: 38 Part A: What is the remainder when 2025050 is divided by 557? Sol: 355 Part A: What is the remainder when 15160 is divided by 7283? Sol: 594 Part A: Calculate the remainder when 603 is divided by 225. Sol: 153 Part A: Calculate the remainder when 12253 is divided by 5959. Sol: 335 Part A: Calculate the remainder when 140292139 is divided by 326. Sol: 321 Part A: Calculate the remainder when 2466784 is divided by 4. Sol: 0 Part A: What is the remainder when 2706162 is divided by 78? Sol: 30 Part A: Calculate the remainder when 534012 is divided by 2949. Sol: 243 Part A: Ca
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numbers: is prime ----------------- Q: Is 643919 a prime number? Interpretation: True Q: Is 42047 composite? Interpretation: True Q: Is 198376309 composite? Interpretation: True Q: Is 4461753 a composite number? Interpretation: True Q: Is 82828739 prime? Interpretation: False Q: Is 69947745239 prime? Interpretation: True Q: Is 8345995639 prime? Interpretation: False Q: Is 69665821 a prime number? Interpretation: True Q: Is 58887217357 a composite number? Interpretation: False Q: Is 84485543111 a prime number? Interpretation: False Q: Is 21269 prime? Interpretation: True Q: Is 25576274353 a composite number? Interpretation: True Q: Is 239821 composite? Interpretation: True Q: Is 17349001 a prime number? Interpretation: True Q: Is 2287822543 a prime number? Interpretation: False Q: Is 6142533119 a prime number? Interpretation: True Q: Is 83209 composite? Interpretation: True Q: Is 485186957 a prime number? Interpretation: False Q: Is 742571 composite? Interpretation: True Q: Is 195971071 composite? Interpretation: False Q: Is 1486321163 a composite number? Interpretation: True Q: Is 897857813 composite? Interpretation: True Q: Is 941526361 composite? Interpretation: True Q: Is 38039 composite? Interpretation: False Q: Is 37217 a prime number? Interpretation: True Q: Is 7380343 a prime number? Interpretation: False Q: Is 32111089 a prime number? Interpretation: True Q: Is 5087 composite? Interpretation: False Q: Is 3671 composite? Interpretation: False Q: Is 53069311 a prime number? Interpretation: False Q: Is 814181933 a prime number? Interpretation: True Q: Is 438341 a composite number? Interpretation: False Q: Is 1535471 prime? Interpretation: False Q: Is 23455971851 prime? Interpretation: False Q: Is 66622 a prime number? Interpretation: False Q: Is 34087135843 a composite number? Interpretation: True Q: Is 7861788521 a prime number? Interpretation: True Q: Is 11664343 a prime number? Interpretation: True Q: Is 4744723 a prime number? Interpretation: False Q: Is 57
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numbers: is prime ----------------- Subquestion: Is 45053520467 a prime number? Compute: True Subquestion: Is 3936831 prime? Compute: False Subquestion: Is 1736213 a composite number? Compute: False Subquestion: Is 1075523 composite? Compute: True Subquestion: Is 6305018 a prime number? Compute: False Subquestion: Is 5127738559 a prime number? Compute: False Subquestion: Is 68395 a composite number? Compute: True Subquestion: Is 3368627 a prime number? Compute: False Subquestion: Is 9556561 a composite number? Compute: True Subquestion: Is 5947680247 prime? Compute: True Subquestion: Is 42566477 composite? Compute: True Subquestion: Is 1579213 a prime number? Compute: False Subquestion: Is 11965 a composite number? Compute: True Subquestion: Is 24714917 prime? Compute: True Subquestion: Is 100003 a composite number? Compute: False Subquestion: Is 1261 a composite number? Compute: True Subquestion: Is 45587 composite? Compute: False Subquestion: Is 3093836381 a composite number? Compute: False Subquestion: Is 199210919 composite? Compute: True Subquestion: Is 30649807 prime? Compute: True Subquestion: Is 324059 prime? Compute: False Subquestion: Is 8777 composite? Compute: True Subquestion: Is 8823523853 a prime number? Compute: True Subquestion: Is 942885743 composite? Compute: True Subquestion: Is 2333 a prime number? Compute: True Subquestion: Is 9283427843 a prime number? Compute: True Subquestion: Is 3258401 a composite number? Compute: True Subquestion: Is 54415 a prime number? Compute: False Subquestion: Is 4766012789 prime? Compute: True Subquestion: Is 268856216699 a composite number? Compute: True Subquestion: Is 560393 composite? Compute: False Subquestion: Is 1907 a prime number? Compute: True Subquestion: Is 32595389 a composite number? Compute: True Subquestion: Is 1985041 composite? Compute: False Subquestion: Is 12373 a prime number? Compute: True Subquestion: Is 10930724177 a composite number? Compute: False Subquestion: Is 91527 a prime number? Comp
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numbers: gcd ------------ Q: Calculate the greatest common factor of 260 and 10276. A: 4 Q: What is the greatest common factor of 26622 and 210222? A: 918 Q: What is the greatest common factor of 388 and 48985? A: 97 Q: What is the greatest common divisor of 16150 and 110466? A: 646 Q: Calculate the highest common divisor of 274138473 and 2814. A: 1407 Q: Calculate the greatest common factor of 228 and 152. A: 76 Q: What is the highest common factor of 184 and 1932? A: 92 Q: What is the highest common factor of 17768 and 488? A: 8 Q: Calculate the greatest common factor of 26220 and 33189. A: 69 Q: What is the highest common divisor of 175450 and 50? A: 50 Q: What is the greatest common factor of 14 and 12? A: 2 Q: What is the highest common factor of 75290 and 10? A: 10 Q: What is the greatest common divisor of 98 and 1414? A: 14 Q: What is the highest common factor of 183 and 19947? A: 183 Q: Calculate the greatest common factor of 556 and 52. A: 4 Q: What is the highest common divisor of 6590 and 40? A: 10 Q: Calculate the greatest common divisor of 36 and 172. A: 4 Q: Calculate the highest common divisor of 63867904 and 2134. A: 194 Q: Calculate the greatest common factor of 150 and 74420. A: 10 Q: What is the greatest common factor of 400570564 and 2044? A: 292 Q: What is the greatest common divisor of 45 and 25? A: 5 Q: Calculate the highest common divisor of 4847841 and 117. A: 9 Q: What is the greatest common divisor of 8920 and 219088580? A: 4460 Q: Calculate the greatest common factor of 51 and 934787687. A: 17 Q: Calculate the greatest common divisor of 85731 and 94741. A: 17 Q: What is the highest common divisor of 20346 and 25554? A: 6 Q: Calculate the greatest common divisor of 8 and 17912. A: 8 Q: What is the greatest common factor of 403239 and 89931? A: 2901 Q: What is the highest common divisor of 693 and 16247? A: 77 Q: Calculate the highest common divisor of 1746360 and 1232. A: 616 Q: What is the greatest common factor of 2888 and 1679372? A: 14
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measurement: time ----------------- Input: What is 474 minutes after 5:47 PM? Response: 1:41 AM Input: What is 132 minutes before 7:38 PM? Response: 5:26 PM Input: What is 406 minutes before 7:45 AM? Response: 12:59 AM Input: How many minutes are there between 10:21 AM and 11:17 AM? Response: 56 Input: What is 331 minutes before 3:43 AM? Response: 10:12 PM Input: How many minutes are there between 9:49 PM and 10:41 PM? Response: 52 Input: How many minutes are there between 7:52 AM and 12:07 PM? Response: 255 Input: How many minutes are there between 8:11 PM and 6:08 AM? Response: 597 Input: What is 612 minutes before 10:26 PM? Response: 12:14 PM Input: What is 457 minutes before 12:24 AM? Response: 4:47 PM Input: What is 676 minutes after 9:31 AM? Response: 8:47 PM Input: How many minutes are there between 9:30 AM and 6:04 PM? Response: 514 Input: What is 145 minutes before 11:44 PM? Response: 9:19 PM Input: What is 493 minutes before 5:48 AM? Response: 9:35 PM Input: How many minutes are there between 7:11 PM and 10:35 PM? Response: 204 Input: What is 710 minutes after 6:07 AM? Response: 5:57 PM Input: How many minutes are there between 5:06 AM and 2:49 PM? Response: 583 Input: How many minutes are there between 4:22 AM and 7:36 AM? Response: 194 Input: What is 52 minutes after 8:26 PM? Response: 9:18 PM Input: How many minutes are there between 9:18 PM and 11:18 PM? Response: 120 Input: What is 474 minutes before 9:42 PM? Response: 1:48 PM Input: What is 376 minutes after 12:45 PM? Response: 7:01 PM Input: How many minutes are there between 5:27 AM and 7:08 AM? Response: 101 Input: What is 609 minutes before 2:39 PM? Response: 4:30 AM Input: What is 470 minutes after 12:40 PM? Response: 8:30 PM Input: How many minutes are there between 7:00 AM and 2:04 PM? Response: 424 Input: How many minutes are there between 12:30 PM and 3:35 PM? Response: 185 Input: How many minutes are there between 1:13 AM and 4:42 AM? Response: 209 Input: What is 691 minutes before 12:57 PM
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probability: swr p level set ---------------------------- Step: Calculate prob of picking 1 s, 2 f, and 1 m when four letters picked without replacement from {v: 1, s: 1, l: 1, f: 5, m: 1}. Interpretation: 5/63 Step: Three letters picked without replacement from vededevdxdi. Give prob of picking 3 d. Interpretation: 4/165 Step: Calculate prob of picking 1 j and 2 q when three letters picked without replacement from {q: 4, g: 1, j: 2, o: 3, c: 1}. Interpretation: 4/55 Step: Calculate prob of picking 1 h, 1 o, and 1 i when three letters picked without replacement from {j: 1, h: 13, i: 2, o: 1}. Interpretation: 13/340 Step: Four letters picked without replacement from qiiqiihiiqiqqh. What is prob of picking 2 q and 2 h? Interpretation: 10/1001 Step: Calculate prob of picking 2 p and 1 y when three letters picked without replacement from yttpptpptppytypntp. Interpretation: 7/68 Step: Calculate prob of picking 1 f, 1 p, and 1 z when three letters picked without replacement from ggqpqpzoqgfg. Interpretation: 1/110 Step: Three letters picked without replacement from hmhxghogmhhammhgoh. Give prob of picking 3 g. Interpretation: 1/816 Step: Calculate prob of picking 1 q and 2 l when three letters picked without replacement from {q: 2, l: 4, a: 1}. Interpretation: 12/35 Step: What is prob of picking 2 s and 1 x when three letters picked without replacement from sosxrxoxoxxxzsxxsx? Interpretation: 9/136 Step: Four letters picked without replacement from {z: 7, b: 5, i: 7}. What is prob of picking 2 b and 2 i? Interpretation: 35/646 Step: Three letters picked without replacement from nknnvvvknnokkvk. Give prob of picking 1 k and 2 n. Interpretation: 10/91 Step: What is prob of picking 2 w and 1 a when three letters picked without replacement from {j: 3, w: 2, u: 6, a: 4}? Interpretation: 4/455 Step: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {i: 1, c: 2, o: 4, g: 2}. Interpretation: 1/18 Step: What is prob of picking 1 u and 1 f when
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numbers: place value -------------------- Statement: What is the hundreds digit of 2495794? = : 7 Statement: What is the hundreds digit of 1188? = : 1 Statement: What is the hundreds digit of 30345? = : 3 Statement: What is the units digit of 399461? = : 1 Statement: What is the millions digit of 251318785? = : 1 Statement: What is the hundred thousands digit of 27393380? = : 3 Statement: What is the hundreds digit of 4968623? = : 6 Statement: What is the thousands digit of 2250? = : 2 Statement: What is the tens digit of 17297? = : 9 Statement: What is the tens digit of 326? = : 2 Statement: What is the millions digit of 246177773? = : 6 Statement: What is the tens digit of 1575? = : 7 Statement: What is the ten thousands digit of 197409? = : 9 Statement: What is the hundreds digit of 13293? = : 2 Statement: What is the hundred millions digit of 510098398? = : 5 Statement: What is the tens digit of 883728055? = : 5 Statement: What is the units digit of 5466? = : 6 Statement: What is the hundred thousands digit of 2827063? = : 8 Statement: What is the hundred thousands digit of 3480806? = : 4 Statement: What is the units digit of 2438? = : 8 Statement: What is the ten thousands digit of 7273260? = : 7 Statement: What is the ten thousands digit of 336491? = : 3 Statement: What is the ten thousands digit of 6378238? = : 7 Statement: What is the ten thousands digit of 4779791? = : 7 Statement: What is the hundreds digit of 1968? = : 9 Statement: What is the units digit of 1555069? = : 9 Statement: What is the millions digit of 3798025086? = : 8 Statement: What is the hundreds digit of 14688? = : 6 Statement: What is the ten millions digit of 4177909900? = : 7 Statement: What is the thousands digit of 235069809? = : 9 Statement: What is the ten thousands digit of 1248107599? = : 0 Statement: What is the units digit of 567? = : 7 Statement: What is the units digit of 126326617? = : 7 Statement: What is the thousands digit of 8936? = : 8 Statement: What is the millions di
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numbers: place value -------------------- Question: What is the tens digit of 19248291? Outcome: 9 Question: What is the units digit of 5217019? Outcome: 9 Question: What is the hundred thousands digit of 2304834? Outcome: 3 Question: What is the tens digit of 15366? Outcome: 6 Question: What is the billions digit of 4297576410? Outcome: 4 Question: What is the thousands digit of 197513152? Outcome: 3 Question: What is the hundreds digit of 358598948? Outcome: 9 Question: What is the thousands digit of 10027423? Outcome: 7 Question: What is the ten millions digit of 657248330? Outcome: 5 Question: What is the tens digit of 35812? Outcome: 1 Question: What is the ten millions digit of 87318609? Outcome: 8 Question: What is the millions digit of 37535078? Outcome: 7 Question: What is the hundreds digit of 61147? Outcome: 1 Question: What is the ten millions digit of 23860539? Outcome: 2 Question: What is the thousands digit of 26000572? Outcome: 0 Question: What is the millions digit of 656899781? Outcome: 6 Question: What is the tens digit of 606323736? Outcome: 3 Question: What is the ten thousands digit of 24048349? Outcome: 4 Question: What is the thousands digit of 5839? Outcome: 5 Question: What is the thousands digit of 11664171? Outcome: 4 Question: What is the units digit of 120678429? Outcome: 9 Question: What is the ten thousands digit of 53016845? Outcome: 1 Question: What is the hundreds digit of 14847418? Outcome: 4 Question: What is the hundred millions digit of 300443167? Outcome: 3 Question: What is the hundreds digit of 921? Outcome: 9 Question: What is the tens digit of 7051849? Outcome: 4 Question: What is the tens digit of 18233? Outcome: 3 Question: What is the hundreds digit of 407668? Outcome: 6 Question: What is the thousands digit of 36883? Outcome: 6 Question: What is the hundred millions digit of 136719929? Outcome: 1 Question: What is the tens digit of 524312029? Outcome: 2 Question: What is the ten thousands digit of 95993361? Outcome: 9
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numbers: place value -------------------- Question: What is the thousands digit of 423714? Soln: 3 Question: What is the tens digit of 343702718? Soln: 1 Question: What is the thousands digit of 986576991? Soln: 6 Question: What is the tens digit of 2179? Soln: 7 Question: What is the millions digit of 1292137? Soln: 1 Question: What is the units digit of 1579? Soln: 9 Question: What is the thousands digit of 14570? Soln: 4 Question: What is the thousands digit of 275790? Soln: 5 Question: What is the units digit of 298317? Soln: 7 Question: What is the hundreds digit of 14140947? Soln: 9 Question: What is the ten thousands digit of 56543? Soln: 5 Question: What is the thousands digit of 296242635? Soln: 2 Question: What is the hundreds digit of 822427955? Soln: 9 Question: What is the hundreds digit of 284460? Soln: 4 Question: What is the ten thousands digit of 62534718? Soln: 3 Question: What is the ten thousands digit of 165727695? Soln: 2 Question: What is the millions digit of 2202030? Soln: 2 Question: What is the millions digit of 5272799? Soln: 5 Question: What is the hundreds digit of 26292? Soln: 2 Question: What is the ten thousands digit of 18795063? Soln: 9 Question: What is the ten thousands digit of 2773535108? Soln: 3 Question: What is the hundreds digit of 1850? Soln: 8 Question: What is the hundreds digit of 938729? Soln: 7 Question: What is the units digit of 418071? Soln: 1 Question: What is the tens digit of 391343663? Soln: 6 Question: What is the units digit of 14740143? Soln: 3 Question: What is the units digit of 64505501? Soln: 1 Question: What is the tens digit of 33002607? Soln: 0 Question: What is the tens digit of 569? Soln: 6 Question: What is the units digit of 129368? Soln: 8 Question: What is the hundred millions digit of 713043005? Soln: 7 Question: What is the units digit of 22063? Soln: 3 Question: What is the tens digit of 60469? Soln: 6 Question: What is the hundred thousands digit of 8659665? Soln: 6 Question: What is the uni
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arithmetic: nearest integer root -------------------------------- Topic: What is 37288129 to the power of 1/6, to the nearest integer? Steps: 18 Topic: What is 11 to the power of 1/9, to the nearest integer? Steps: 1 Topic: What is the square root of 9518 to the nearest integer? Steps: 98 Topic: What is 472812431 to the power of 1/2, to the nearest integer? Steps: 21744 Topic: What is 141871432 to the power of 1/3, to the nearest integer? Steps: 522 Topic: What is the square root of 21376100 to the nearest integer? Steps: 4623 Topic: What is 2552 to the power of 1/2, to the nearest integer? Steps: 51 Topic: What is the square root of 1540710 to the nearest integer? Steps: 1241 Topic: What is 151615993 to the power of 1/3, to the nearest integer? Steps: 533 Topic: What is 9572 to the power of 1/3, to the nearest integer? Steps: 21 Topic: What is 58471 to the power of 1/3, to the nearest integer? Steps: 39 Topic: What is the square root of 2440 to the nearest integer? Steps: 49 Topic: What is the fifth root of 3690819 to the nearest integer? Steps: 21 Topic: What is the seventh root of 127196764 to the nearest integer? Steps: 14 Topic: What is 7164635 to the power of 1/7, to the nearest integer? Steps: 10 Topic: What is 1090054550 to the power of 1/2, to the nearest integer? Steps: 33016 Topic: What is the seventh root of 339644358 to the nearest integer? Steps: 17 Topic: What is 5984 to the power of 1/5, to the nearest integer? Steps: 6 Topic: What is the fifth root of 17793 to the nearest integer? Steps: 7 Topic: What is 4022 to the power of 1/2, to the nearest integer? Steps: 63 Topic: What is the cube root of 33172663 to the nearest integer? Steps: 321 Topic: What is 101989 to the power of 1/2, to the nearest integer? Steps: 319 Topic: What is the cube root of 7358 to the nearest integer? Steps: 19 Topic: What is 151381208 to the power of 1/8, to the nearest integer? Steps: 11 Topic: What is the third root of 167489 to the nearest integer? Steps: 55 Topic: What is
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numbers: is prime ----------------- Exercise: Is 710121337 a prime number? Response: True Exercise: Is 1224408373 prime? Response: True Exercise: Is 13252049 a composite number? Response: True Exercise: Is 203905393 composite? Response: False Exercise: Is 71907311 prime? Response: False Exercise: Is 74701 a prime number? Response: False Exercise: Is 333821 a composite number? Response: False Exercise: Is 294019 prime? Response: False Exercise: Is 22303 prime? Response: True Exercise: Is 213076517 prime? Response: False Exercise: Is 1819693 a composite number? Response: False Exercise: Is 702391 prime? Response: True Exercise: Is 19484113669 prime? Response: True Exercise: Is 3165401 composite? Response: True Exercise: Is 2253439 a composite number? Response: False Exercise: Is 8219 prime? Response: True Exercise: Is 412961 a prime number? Response: False Exercise: Is 1273457 a prime number? Response: True Exercise: Is 3165397459 a composite number? Response: True Exercise: Is 7674091 a prime number? Response: True Exercise: Is 5039 a composite number? Response: False Exercise: Is 14997 a prime number? Response: False Exercise: Is 427039 composite? Response: False Exercise: Is 53321 a composite number? Response: True Exercise: Is 4096957 a composite number? Response: False Exercise: Is 245317271 a composite number? Response: False Exercise: Is 24923609 a composite number? Response: False Exercise: Is 1480015655 prime? Response: False Exercise: Is 331376009 a prime number? Response: True Exercise: Is 7125823 prime? Response: False Exercise: Is 1249793 prime? Response: False Exercise: Is 678893 prime? Response: False Exercise: Is 1257387179 composite? Response: False Exercise: Is 5590439 composite? Response: False Exercise: Is 4111 composite? Response: False Exercise: Is 1828033 a composite number? Response: True Exercise: Is 17777 composite? Response: True Exercise: Is 126478129 a prime number? Response: False Exercise: Is 89926909 a prime number? Response: False Exer
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numbers: div remainder ---------------------- Subject: Calculate the remainder when 6892890 is divided by 161. Calculation: 158 Subject: Calculate the remainder when 3896950 is divided by 33. Calculation: 13 Subject: What is the remainder when 232876 is divided by 46574? Calculation: 6 Subject: Calculate the remainder when 211180359 is divided by 84. Calculation: 75 Subject: What is the remainder when 239 is divided by 69? Calculation: 32 Subject: Calculate the remainder when 2568 is divided by 366. Calculation: 6 Subject: Calculate the remainder when 60 is divided by 13. Calculation: 8 Subject: What is the remainder when 334 is divided by 34? Calculation: 28 Subject: Calculate the remainder when 245246 is divided by 47953. Calculation: 5481 Subject: What is the remainder when 153412 is divided by 948? Calculation: 784 Subject: What is the remainder when 535 is divided by 184? Calculation: 167 Subject: What is the remainder when 1106 is divided by 1069? Calculation: 37 Subject: Calculate the remainder when 804 is divided by 140. Calculation: 104 Subject: What is the remainder when 124975 is divided by 398? Calculation: 3 Subject: Calculate the remainder when 364 is divided by 137. Calculation: 90 Subject: What is the remainder when 13 is divided by 7? Calculation: 6 Subject: What is the remainder when 1445510 is divided by 3775? Calculation: 3460 Subject: What is the remainder when 7686 is divided by 80? Calculation: 6 Subject: Calculate the remainder when 1023 is divided by 47. Calculation: 36 Subject: Calculate the remainder when 67077 is divided by 39. Calculation: 36 Subject: What is the remainder when 3939 is divided by 232? Calculation: 227 Subject: What is the remainder when 1360 is divided by 19? Calculation: 11 Subject: Calculate the remainder when 11246 is divided by 7098. Calculation: 4148 Subject: Calculate the remainder when 20277 is divided by 10131. Calculation: 15 Subject: Calculate the remainder when 2671 is divided by 664. Calculation: 15 Subject:
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arithmetic: nearest integer root -------------------------------- Prompt: What is the square root of 1644909 to the nearest integer? Calculation: 1283 Prompt: What is 59914992 to the power of 1/8, to the nearest integer? Calculation: 9 Prompt: What is the cube root of 34871 to the nearest integer? Calculation: 33 Prompt: What is 4855415669 to the power of 1/5, to the nearest integer? Calculation: 87 Prompt: What is 26646 to the power of 1/3, to the nearest integer? Calculation: 30 Prompt: What is 34740 to the power of 1/9, to the nearest integer? Calculation: 3 Prompt: What is 15222389 to the power of 1/2, to the nearest integer? Calculation: 3902 Prompt: What is 627515133 to the power of 1/5, to the nearest integer? Calculation: 57 Prompt: What is the square root of 1161924 to the nearest integer? Calculation: 1078 Prompt: What is the third root of 64176824 to the nearest integer? Calculation: 400 Prompt: What is the cube root of 5803038 to the nearest integer? Calculation: 180 Prompt: What is 6970799501 to the power of 1/2, to the nearest integer? Calculation: 83491 Prompt: What is the sixth root of 104190 to the nearest integer? Calculation: 7 Prompt: What is 8826 to the power of 1/2, to the nearest integer? Calculation: 94 Prompt: What is 6713 to the power of 1/2, to the nearest integer? Calculation: 82 Prompt: What is the seventh root of 1744543548 to the nearest integer? Calculation: 21 Prompt: What is the sixth root of 57947021 to the nearest integer? Calculation: 20 Prompt: What is 4268 to the power of 1/2, to the nearest integer? Calculation: 65 Prompt: What is the cube root of 3847 to the nearest integer? Calculation: 16 Prompt: What is 634439050 to the power of 1/10, to the nearest integer? Calculation: 8 Prompt: What is 25466490 to the power of 1/7, to the nearest integer? Calculation: 11 Prompt: What is 590839 to the power of 1/2, to the nearest integer? Calculation: 769 Prompt: What is the seventh root of 52998 to the nearest integer? Calculation: 5 Pr
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numbers: is prime ----------------- Question: Is 234001 a prime number? Eval: False Question: Is 14224919 composite? Eval: False Question: Is 43517 composite? Eval: False Question: Is 2646007855 prime? Eval: False Question: Is 13714379 composite? Eval: True Question: Is 219445 a prime number? Eval: False Question: Is 16787 a composite number? Eval: False Question: Is 75011 a composite number? Eval: False Question: Is 10802629 a composite number? Eval: False Question: Is 7165 prime? Eval: False Question: Is 1034417971 prime? Eval: False Question: Is 25848606387 composite? Eval: True Question: Is 50359 a prime number? Eval: True Question: Is 422227 a composite number? Eval: True Question: Is 8743 composite? Eval: True Question: Is 223133087 a composite number? Eval: True Question: Is 88475773 a prime number? Eval: False Question: Is 55324099 composite? Eval: False Question: Is 2315087 prime? Eval: False Question: Is 7662119 a composite number? Eval: True Question: Is 10427 composite? Eval: False Question: Is 86300019601 prime? Eval: False Question: Is 4814987 a prime number? Eval: True Question: Is 62347 a composite number? Eval: False Question: Is 4584109861 composite? Eval: True Question: Is 176153 a composite number? Eval: False Question: Is 6973 a composite number? Eval: True Question: Is 7103726303 a prime number? Eval: True Question: Is 87449 prime? Eval: False Question: Is 10228277 composite? Eval: False Question: Is 1535 a prime number? Eval: False Question: Is 417607 a prime number? Eval: False Question: Is 59441 a prime number? Eval: True Question: Is 29363 a prime number? Eval: True Question: Is 1893581 a prime number? Eval: True Question: Is 223515835 prime? Eval: False Question: Is 727541 a composite number? Eval: False Question: Is 415761 a composite number? Eval: True Question: Is 21876989 composite? Eval: False Question: Is 26149 prime? Eval: False Question: Is 694588729 a composite number? Eval: False Question: Is 190387 a composite number? Eval: Fals
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measurement: conversion ----------------------- Prompt: What is 96.39889 litres in millilitres? Reply: 96398.89 Prompt: How many centimeters are there in seventeen quarters of a meter? Reply: 425 Prompt: How many months are there in 9.180497 millennia? Reply: 110165.964 Prompt: What is 3/8 of a millimeter in micrometers? Reply: 375 Prompt: How many meters are there in three fifths of a kilometer? Reply: 600 Prompt: What is 37/2 of a year in months? Reply: 222 Prompt: How many kilograms are there in twenty-nine fifths of a tonne? Reply: 5800 Prompt: What is twenty-five quarters of a gram in milligrams? Reply: 6250 Prompt: How many millilitres are there in twenty-one eighths of a litre? Reply: 2625 Prompt: How many seconds are there in seven quarters of a minute? Reply: 105 Prompt: How many millilitres are there in one fifth of a litre? Reply: 200 Prompt: How many litres are there in 673.4884ml? Reply: 0.6734884 Prompt: Convert 7.166221 millennia to months. Reply: 85994.652 Prompt: Convert 278125.9 centuries to decades. Reply: 2781259 Prompt: How many millilitres are there in 0.7925906 litres? Reply: 792.5906 Prompt: How many centuries are there in seven halves of a millennium? Reply: 35 Prompt: What is 0.6143739 millilitres in litres? Reply: 0.0006143739 Prompt: How many milligrams are there in 13/4 of a gram? Reply: 3250 Prompt: How many millilitres are there in nineteen quarters of a litre? Reply: 4750 Prompt: How many years are there in 25/2 of a century? Reply: 1250 Prompt: What is 111.1409 kilometers in centimeters? Reply: 11114090 Prompt: What is fourty-five quarters of a century in years? Reply: 1125 Prompt: What is 29.93831um in centimeters? Reply: 0.002993831 Prompt: How many micrograms are there in one tenth of a milligram? Reply: 100 Prompt: What is 244843.3mg in grams? Reply: 244.8433 Prompt: Convert 0.0124952 meters to nanometers. Reply: 12495200 Prompt: Convert 73100.61 millimeters to nanometers. Reply: 73100610000 Prompt: What is 89.67895nm in millimet
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numbers: gcd ------------ Let: What is the greatest common divisor of 206019 and 1764? = : 9 Let: Calculate the highest common factor of 5834871 and 41454. = : 441 Let: Calculate the greatest common divisor of 40069 and 34. = : 17 Let: What is the highest common divisor of 18193008 and 30128? = : 4304 Let: Calculate the greatest common factor of 25 and 6425. = : 25 Let: What is the greatest common divisor of 232 and 3896? = : 8 Let: What is the greatest common factor of 70 and 6? = : 2 Let: What is the greatest common divisor of 5631864 and 1176? = : 1176 Let: What is the highest common factor of 5713 and 82099? = : 29 Let: What is the greatest common divisor of 2409686816 and 32? = : 32 Let: What is the greatest common divisor of 5512612182 and 14? = : 14 Let: What is the greatest common divisor of 5427301 and 561? = : 187 Let: What is the greatest common factor of 60515 and 287413? = : 133 Let: What is the highest common factor of 24 and 768? = : 24 Let: What is the greatest common divisor of 9087484 and 1370? = : 274 Let: Calculate the greatest common factor of 20465410 and 280. = : 70 Let: Calculate the highest common factor of 494 and 2052. = : 38 Let: What is the highest common divisor of 9019398 and 756? = : 6 Let: What is the greatest common factor of 143 and 13? = : 13 Let: Calculate the greatest common divisor of 355140 and 144. = : 36 Let: What is the greatest common factor of 1891582 and 468174? = : 994 Let: Calculate the greatest common divisor of 10 and 6835. = : 5 Let: What is the greatest common factor of 1212 and 27068? = : 404 Let: What is the greatest common divisor of 2048 and 160? = : 32 Let: What is the greatest common divisor of 700 and 1400? = : 700 Let: Calculate the greatest common factor of 32 and 808. = : 8 Let: Calculate the highest common divisor of 341 and 6558134. = : 11 Let: Calculate the greatest common factor of 23902 and 110371. = : 703 Let: What is the highest common divisor of 566892 and 544968? = : 3132 Let: What is the greates
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numbers: is prime ----------------- Statement: Is 270875029 a prime number? Reply: True Statement: Is 1201781921 a composite number? Reply: False Statement: Is 33821135 a prime number? Reply: False Statement: Is 4493 composite? Reply: False Statement: Is 3769889 a composite number? Reply: True Statement: Is 2795087 composite? Reply: True Statement: Is 2029942909 a composite number? Reply: True Statement: Is 18397517 prime? Reply: True Statement: Is 493075901 prime? Reply: False Statement: Is 10673 a composite number? Reply: True Statement: Is 12560419 composite? Reply: True Statement: Is 863671 a composite number? Reply: False Statement: Is 665497 composite? Reply: True Statement: Is 23905041 prime? Reply: False Statement: Is 709367 a prime number? Reply: False Statement: Is 2620014563 a prime number? Reply: True Statement: Is 176279 composite? Reply: True Statement: Is 202847 composite? Reply: True Statement: Is 14236366229 a composite number? Reply: True Statement: Is 11516087 a prime number? Reply: False Statement: Is 44032003 prime? Reply: False Statement: Is 1227 composite? Reply: True Statement: Is 800991761 prime? Reply: True Statement: Is 609091 a prime number? Reply: False Statement: Is 1123898693 a prime number? Reply: True Statement: Is 8707293599 composite? Reply: False Statement: Is 20559881 composite? Reply: True Statement: Is 9542011 prime? Reply: False Statement: Is 11353050763 prime? Reply: True Statement: Is 24263 prime? Reply: False Statement: Is 18119 composite? Reply: False Statement: Is 132588371879 composite? Reply: True Statement: Is 32415683 a prime number? Reply: False Statement: Is 8974372637 a prime number? Reply: False Statement: Is 4263831719 composite? Reply: True Statement: Is 1423 a prime number? Reply: True Statement: Is 1293580391 composite? Reply: False Statement: Is 33503573 a composite number? Reply: False Statement: Is 2807629 a composite number? Reply: True Statement: Is 208961 prime? Reply: True Statement: Is 98174339767 a pr
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numbers: place value -------------------- Conundrum: What is the tens digit of 13228? Output: 2 Conundrum: What is the thousands digit of 445745? Output: 5 Conundrum: What is the hundreds digit of 30041? Output: 0 Conundrum: What is the ten millions digit of 366541300? Output: 6 Conundrum: What is the tens digit of 704236027? Output: 2 Conundrum: What is the hundred millions digit of 503459752? Output: 5 Conundrum: What is the hundreds digit of 1511? Output: 5 Conundrum: What is the thousands digit of 1188238? Output: 8 Conundrum: What is the millions digit of 57126889? Output: 7 Conundrum: What is the tens digit of 1144? Output: 4 Conundrum: What is the hundred millions digit of 431473416? Output: 4 Conundrum: What is the ten thousands digit of 43947470? Output: 4 Conundrum: What is the hundreds digit of 259828? Output: 8 Conundrum: What is the ten thousands digit of 319761? Output: 1 Conundrum: What is the ten thousands digit of 1406817098? Output: 1 Conundrum: What is the hundreds digit of 44060? Output: 0 Conundrum: What is the hundred thousands digit of 405413888? Output: 4 Conundrum: What is the hundred millions digit of 2030523860? Output: 0 Conundrum: What is the tens digit of 7536564? Output: 6 Conundrum: What is the hundred millions digit of 152378864? Output: 1 Conundrum: What is the thousands digit of 81435558? Output: 5 Conundrum: What is the thousands digit of 70832271? Output: 2 Conundrum: What is the thousands digit of 646382? Output: 6 Conundrum: What is the ten thousands digit of 32750? Output: 3 Conundrum: What is the millions digit of 5781145? Output: 5 Conundrum: What is the hundreds digit of 137673324? Output: 3 Conundrum: What is the hundreds digit of 313? Output: 3 Conundrum: What is the hundreds digit of 1490? Output: 4 Conundrum: What is the hundred thousands digit of 1526154? Output: 5 Conundrum: What is the millions digit of 32501948? Output: 2 Conundrum: What is the hundred thousands digit of 2677722? Output: 6 Conundrum: What is the tho
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arithmetic: nearest integer root -------------------------------- Situation: What is the square root of 816 to the nearest integer? A: 29 Situation: What is 377916 to the power of 1/2, to the nearest integer? A: 615 Situation: What is the cube root of 12461 to the nearest integer? A: 23 Situation: What is the fourth root of 25080444 to the nearest integer? A: 71 Situation: What is 292540 to the power of 1/3, to the nearest integer? A: 66 Situation: What is 359272672 to the power of 1/2, to the nearest integer? A: 18954 Situation: What is the cube root of 105143428 to the nearest integer? A: 472 Situation: What is the square root of 3371381 to the nearest integer? A: 1836 Situation: What is 4490950 to the power of 1/8, to the nearest integer? A: 7 Situation: What is 12075 to the power of 1/10, to the nearest integer? A: 3 Situation: What is the cube root of 219500683 to the nearest integer? A: 603 Situation: What is 10287 to the power of 1/4, to the nearest integer? A: 10 Situation: What is the cube root of 21835 to the nearest integer? A: 28 Situation: What is 1276262 to the power of 1/9, to the nearest integer? A: 5 Situation: What is the third root of 44238927 to the nearest integer? A: 354 Situation: What is the cube root of 969821729 to the nearest integer? A: 990 Situation: What is 1466529144 to the power of 1/8, to the nearest integer? A: 14 Situation: What is the square root of 271205 to the nearest integer? A: 521 Situation: What is 41658 to the power of 1/3, to the nearest integer? A: 35 Situation: What is 180946 to the power of 1/2, to the nearest integer? A: 425 Situation: What is the square root of 27796 to the nearest integer? A: 167 Situation: What is the square root of 18761342 to the nearest integer? A: 4331 Situation: What is the fourth root of 566768307 to the nearest integer? A: 154 Situation: What is the sixth root of 173104 to the nearest integer? A: 7 Situation: What is the square root of 2545970234 to the nearest integer? A: 50458 Situation: W
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numbers: div remainder ---------------------- Topic: What is the remainder when 2287 is divided by 22? A: 21 Topic: What is the remainder when 1946925 is divided by 754? A: 97 Topic: Calculate the remainder when 95019 is divided by 31631. A: 126 Topic: What is the remainder when 232766 is divided by 19372? A: 302 Topic: What is the remainder when 684 is divided by 11? A: 2 Topic: What is the remainder when 2318 is divided by 1157? A: 4 Topic: What is the remainder when 31591350 is divided by 89? A: 88 Topic: What is the remainder when 519 is divided by 35? A: 29 Topic: Calculate the remainder when 42526 is divided by 52. A: 42 Topic: Calculate the remainder when 2203554 is divided by 1319. A: 824 Topic: What is the remainder when 49 is divided by 44? A: 5 Topic: Calculate the remainder when 45139066 is divided by 19. A: 6 Topic: Calculate the remainder when 758534 is divided by 1756. A: 1698 Topic: Calculate the remainder when 2126860 is divided by 531708. A: 28 Topic: Calculate the remainder when 2852 is divided by 625. A: 352 Topic: What is the remainder when 44940517 is divided by 66? A: 61 Topic: What is the remainder when 368148 is divided by 59? A: 47 Topic: Calculate the remainder when 1886 is divided by 209. A: 5 Topic: What is the remainder when 228651 is divided by 248? A: 243 Topic: Calculate the remainder when 1484643 is divided by 186. A: 177 Topic: What is the remainder when 5934875 is divided by 988? A: 947 Topic: Calculate the remainder when 345428 is divided by 114988. A: 464 Topic: What is the remainder when 73635 is divided by 4077? A: 249 Topic: What is the remainder when 258 is divided by 7? A: 6 Topic: What is the remainder when 1139 is divided by 59? A: 18 Topic: What is the remainder when 15055 is divided by 70? A: 5 Topic: Calculate the remainder when 57033 is divided by 193. A: 98 Topic: Calculate the remainder when 33495 is divided by 1015. A: 0 Topic: Calculate the remainder when 411 is divided by 132. A: 15 Topic: Calculate the remainder
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probability: swr p level set ---------------------------- Query: Calculate prob of picking 1 u, 1 k, and 1 o when three letters picked without replacement from ookuu. A: 2/5 Query: What is prob of picking 1 k, 1 a, and 1 r when three letters picked without replacement from uraiiiuiakkirui? A: 8/455 Query: What is prob of picking 1 g and 3 b when four letters picked without replacement from bnkkgknbgkgkkkkkbkk? A: 1/1292 Query: Two letters picked without replacement from {g: 5, z: 3, v: 1, l: 1, b: 1}. What is prob of picking 1 z and 1 v? A: 3/55 Query: What is prob of picking 1 t and 1 z when two letters picked without replacement from {g: 1, t: 1, z: 2}? A: 1/3 Query: Calculate prob of picking 3 o when three letters picked without replacement from {o: 17, k: 3}. A: 34/57 Query: Three letters picked without replacement from {d: 1, m: 3, r: 4}. Give prob of picking 1 m and 2 r. A: 9/28 Query: Three letters picked without replacement from gjwcfggchgggggwwhgc. Give prob of picking 2 h and 1 g. A: 3/323 Query: Calculate prob of picking 2 c when two letters picked without replacement from {m: 1, i: 1, y: 1, c: 2}. A: 1/10 Query: Two letters picked without replacement from sfllsfssslssslnsffs. Give prob of picking 2 f. A: 2/57 Query: Calculate prob of picking 3 r when three letters picked without replacement from lllrlrrlllrrlllllll. A: 10/969 Query: What is prob of picking 1 a, 1 h, and 1 y when three letters picked without replacement from xahshhjxsassyhx? A: 8/455 Query: Calculate prob of picking 1 n and 2 p when three letters picked without replacement from {j: 2, y: 4, n: 4, p: 2}. A: 1/55 Query: Calculate prob of picking 2 z and 1 s when three letters picked without replacement from sbzaaaszays. A: 1/55 Query: What is prob of picking 1 f, 1 n, and 1 g when three letters picked without replacement from ggnqggsnggsfsf? A: 6/91 Query: Two letters picked without replacement from azvgzzvvnnvvnnvv. What is prob of picking 1 g and 1 v? A: 7/120 Query: Two letters picked wi
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probability: swr p sequence --------------------------- Ask: Three letters picked without replacement from {j: 1, t: 1, v: 2, x: 2, n: 1, c: 2}. Give prob of sequence xjt. Result: 1/252 Ask: Three letters picked without replacement from hwhofhhhhohffhwwhfh. Give prob of sequence ofw. Result: 4/969 Ask: Calculate prob of sequence ppcc when four letters picked without replacement from pccpc. Result: 1/10 Ask: Two letters picked without replacement from {k: 2, p: 6, w: 1, q: 1, i: 5, t: 1}. Give prob of sequence wq. Result: 1/240 Ask: Calculate prob of sequence qiii when four letters picked without replacement from {j: 1, x: 1, q: 1, b: 2, t: 2, i: 7}. Result: 5/572 Ask: Three letters picked without replacement from rsrsgzss. Give prob of sequence srg. Result: 1/42 Ask: Calculate prob of sequence oo when two letters picked without replacement from qqoqqqqqqoqqoqqqqo. Result: 2/51 Ask: Four letters picked without replacement from fuufufuffnfff. Give prob of sequence ufun. Result: 4/715 Ask: Two letters picked without replacement from {j: 4, g: 1, q: 1, w: 1, x: 1}. Give prob of sequence wq. Result: 1/56 Ask: Two letters picked without replacement from {r: 4, b: 3, u: 7}. Give prob of sequence ub. Result: 3/26 Ask: Two letters picked without replacement from kcyyscckvywyyky. Give prob of sequence ws. Result: 1/210 Ask: Calculate prob of sequence tvtn when four letters picked without replacement from {h: 1, n: 9, v: 4, w: 1, t: 2}. Result: 3/2380 Ask: Two letters picked without replacement from {k: 3, b: 1, a: 1, i: 1, c: 1}. Give prob of sequence ci. Result: 1/42 Ask: Two letters picked without replacement from rcgcdcgcdrcgccgccg. What is prob of sequence rc? Result: 1/17 Ask: Calculate prob of sequence qjjm when four letters picked without replacement from qbejiijmibiibebb. Result: 1/21840 Ask: Calculate prob of sequence wwm when three letters picked without replacement from wwmmw. Result: 1/5 Ask: Two letters picked without replacement from {d: 1, h: 1, v: 5, c: 3, n:
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numbers: place value -------------------- Example: What is the hundreds digit of 4452475? Workthrough: 4 Example: What is the hundred thousands digit of 32331709? Workthrough: 3 Example: What is the hundred thousands digit of 613070? Workthrough: 6 Example: What is the units digit of 1533? Workthrough: 3 Example: What is the ten millions digit of 409533026? Workthrough: 0 Example: What is the units digit of 313392? Workthrough: 2 Example: What is the units digit of 1697? Workthrough: 7 Example: What is the tens digit of 48900? Workthrough: 0 Example: What is the tens digit of 970? Workthrough: 7 Example: What is the thousands digit of 198944? Workthrough: 8 Example: What is the hundreds digit of 9536? Workthrough: 5 Example: What is the hundreds digit of 102023? Workthrough: 0 Example: What is the tens digit of 53? Workthrough: 5 Example: What is the ten thousands digit of 3116007? Workthrough: 1 Example: What is the tens digit of 176? Workthrough: 7 Example: What is the units digit of 23049? Workthrough: 9 Example: What is the hundred thousands digit of 36798810? Workthrough: 7 Example: What is the units digit of 175? Workthrough: 5 Example: What is the ten millions digit of 43096858? Workthrough: 4 Example: What is the hundreds digit of 1061? Workthrough: 0 Example: What is the millions digit of 201953988? Workthrough: 1 Example: What is the units digit of 275? Workthrough: 5 Example: What is the hundreds digit of 4788? Workthrough: 7 Example: What is the hundred thousands digit of 206930? Workthrough: 2 Example: What is the millions digit of 166575943? Workthrough: 6 Example: What is the millions digit of 8689552? Workthrough: 8 Example: What is the hundreds digit of 718? Workthrough: 7 Example: What is the hundreds digit of 2248478? Workthrough: 4 Example: What is the tens digit of 17768? Workthrough: 6 Example: What is the thousands digit of 8715678? Workthrough: 5 Example: What is the millions digit of 47966999? Workthrough: 7 Example: What is the tens digit o
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numbers: place value -------------------- Q: What is the ten millions digit of 15835443? Answer: 1 Q: What is the units digit of 123125? Answer: 5 Q: What is the tens digit of 7994? Answer: 9 Q: What is the millions digit of 385722832? Answer: 5 Q: What is the ten thousands digit of 63658828? Answer: 5 Q: What is the tens digit of 410? Answer: 1 Q: What is the hundred thousands digit of 17231438? Answer: 2 Q: What is the hundred millions digit of 174451207? Answer: 1 Q: What is the hundreds digit of 3022476? Answer: 4 Q: What is the thousands digit of 1487? Answer: 1 Q: What is the millions digit of 3722692? Answer: 3 Q: What is the tens digit of 8468442? Answer: 4 Q: What is the hundreds digit of 1889887119? Answer: 1 Q: What is the thousands digit of 665518? Answer: 5 Q: What is the hundred millions digit of 239614321? Answer: 2 Q: What is the hundred thousands digit of 454560? Answer: 4 Q: What is the millions digit of 4591494? Answer: 4 Q: What is the units digit of 72097? Answer: 7 Q: What is the thousands digit of 22329? Answer: 2 Q: What is the units digit of 8172424? Answer: 4 Q: What is the tens digit of 286562? Answer: 6 Q: What is the ten thousands digit of 51012? Answer: 5 Q: What is the hundred millions digit of 277217653? Answer: 2 Q: What is the tens digit of 1653571? Answer: 7 Q: What is the hundreds digit of 4116? Answer: 1 Q: What is the units digit of 641? Answer: 1 Q: What is the hundreds digit of 13337? Answer: 3 Q: What is the hundred thousands digit of 118690? Answer: 1 Q: What is the hundred thousands digit of 5716668? Answer: 7 Q: What is the ten thousands digit of 1546798? Answer: 4 Q: What is the ten millions digit of 503807383? Answer: 0 Q: What is the hundred thousands digit of 418312521? Answer: 3 Q: What is the hundreds digit of 341239? Answer: 2 Q: What is the hundred millions digit of 1787652209? Answer: 7 Q: What is the hundreds digit of 297? Answer: 2 Q: What is the ten millions digit of 4710031257? Answer: 1 Q: What is the thousan
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measurement: conversion ----------------------- Let us solve: What is 18/5 of a litre in millilitres? = : 3600 Let us solve: How many seconds are there in one ninth of a day? = : 9600 Let us solve: What is 3/25 of a litre in millilitres? = : 120 Let us solve: Convert 280.1371 tonnes to milligrams. = : 280137100000 Let us solve: How many micrograms are there in 58.72935 tonnes? = : 58729350000000 Let us solve: How many days are there in 2.0117247 hours? = : 0.0838218625 Let us solve: Convert 63.32269 hours to milliseconds. = : 227961684 Let us solve: What is 985472.1km in meters? = : 985472100 Let us solve: How many hours are there in seven quarters of a day? = : 42 Let us solve: How many years are there in 21/4 of a century? = : 525 Let us solve: How many grams are there in three tenths of a kilogram? = : 300 Let us solve: Convert 11.71816 years to centuries. = : 0.1171816 Let us solve: How many millilitres are there in seventy-three quarters of a litre? = : 18250 Let us solve: How many years are there in 6/25 of a millennium? = : 240 Let us solve: What is one tenth of a microgram in nanograms? = : 100 Let us solve: How many nanograms are there in 73.75732 micrograms? = : 73757.32 Let us solve: Convert 512323.5 tonnes to grams. = : 512323500000 Let us solve: How many micrograms are there in 59/4 of a milligram? = : 14750 Let us solve: How many seconds are there in ten ninths of a hour? = : 4000 Let us solve: How many millimeters are there in 21/8 of a meter? = : 2625 Let us solve: What is six fifths of a litre in millilitres? = : 1200 Let us solve: How many tonnes are there in 0.307385g? = : 0.000000307385 Let us solve: What is 5311.9 days in hours? = : 127485.6 Let us solve: How many months are there in 8/3 of a century? = : 3200 Let us solve: How many months are there in fifteen quarters of a millennium? = : 45000 Let us solve: What is 0.0621326 meters in micrometers? = : 62132.6 Let us solve: Convert 44.83849 millennia to decades. = : 4483.849 Let us solve: What
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arithmetic: nearest integer root -------------------------------- Test item: What is 437622 to the power of 1/3, to the nearest integer? Finding: 76 Test item: What is 1727 to the power of 1/2, to the nearest integer? Finding: 42 Test item: What is the square root of 1214170 to the nearest integer? Finding: 1102 Test item: What is the cube root of 108630 to the nearest integer? Finding: 48 Test item: What is 14485 to the power of 1/7, to the nearest integer? Finding: 4 Test item: What is the cube root of 2009 to the nearest integer? Finding: 13 Test item: What is the seventh root of 3873060 to the nearest integer? Finding: 9 Test item: What is the cube root of 858944 to the nearest integer? Finding: 95 Test item: What is 134913060 to the power of 1/2, to the nearest integer? Finding: 11615 Test item: What is the square root of 1211 to the nearest integer? Finding: 35 Test item: What is the sixth root of 306 to the nearest integer? Finding: 3 Test item: What is the third root of 27075438 to the nearest integer? Finding: 300 Test item: What is the square root of 2767580 to the nearest integer? Finding: 1664 Test item: What is 737 to the power of 1/5, to the nearest integer? Finding: 4 Test item: What is 22337 to the power of 1/6, to the nearest integer? Finding: 5 Test item: What is the square root of 593803487 to the nearest integer? Finding: 24368 Test item: What is 576064889 to the power of 1/3, to the nearest integer? Finding: 832 Test item: What is 3923 to the power of 1/4, to the nearest integer? Finding: 8 Test item: What is the cube root of 12523 to the nearest integer? Finding: 23 Test item: What is 20011491 to the power of 1/2, to the nearest integer? Finding: 4473 Test item: What is 20181 to the power of 1/10, to the nearest integer? Finding: 3 Test item: What is 20105 to the power of 1/2, to the nearest integer? Finding: 142 Test item: What is the square root of 40607418 to the nearest integer? Finding: 6372 Test item: What is 1079 to the power of 1/6, to
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numbers: lcm ------------ Let us solve: Calculate the common denominator of 53/7214934 and -125/14429868. Answer: 14429868 Let us solve: Calculate the least common multiple of 9 and 2583. Answer: 2583 Let us solve: Find the common denominator of -49/5056 and 81/9164. Answer: 146624 Let us solve: What is the lowest common multiple of 80 and 160? Answer: 160 Let us solve: Calculate the lowest common multiple of 40 and 25280. Answer: 25280 Let us solve: Find the common denominator of -47/14 and 7/123150. Answer: 862050 Let us solve: Find the common denominator of -47/216 and 151/684. Answer: 4104 Let us solve: What is the common denominator of 37/264 and 17/65328? Answer: 718608 Let us solve: What is the common denominator of 59/8870 and -29/90? Answer: 79830 Let us solve: Calculate the least common multiple of 1110 and 2. Answer: 1110 Let us solve: Calculate the smallest common multiple of 60 and 25. Answer: 300 Let us solve: What is the common denominator of -25/1066734 and 19/237052? Answer: 2133468 Let us solve: Find the common denominator of 25/247 and 23/114. Answer: 1482 Let us solve: Calculate the common denominator of 23/3593150 and 151/21150. Answer: 32338350 Let us solve: Calculate the smallest common multiple of 9 and 11. Answer: 99 Let us solve: Calculate the least common multiple of 739605 and 3451490. Answer: 10354470 Let us solve: What is the common denominator of -61/496 and 93/8? Answer: 496 Let us solve: Calculate the common denominator of 29/6 and 3/11920. Answer: 35760 Let us solve: What is the lowest common multiple of 594000 and 16? Answer: 594000 Let us solve: What is the least common multiple of 979 and 3560? Answer: 39160 Let us solve: Calculate the common denominator of -83/2166 and -20/44403. Answer: 88806 Let us solve: Calculate the smallest common multiple of 409739 and 11. Answer: 409739 Let us solve: Calculate the common denominator of -1/176932 and -25/25276. Answer: 176932 Let us solve: Find the common denominator of 13/194816 and -125
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measurement: time ----------------- Statement: How many minutes are there between 7:20 AM and 3:12 PM? Answer: 472 Statement: What is 33 minutes after 1:38 AM? Answer: 2:11 AM Statement: What is 345 minutes before 12:14 AM? Answer: 6:29 PM Statement: How many minutes are there between 9:28 AM and 10:45 AM? Answer: 77 Statement: How many minutes are there between 3:53 PM and 9:25 PM? Answer: 332 Statement: What is 677 minutes before 10:12 PM? Answer: 10:55 AM Statement: What is 627 minutes after 5:04 AM? Answer: 3:31 PM Statement: What is 48 minutes before 5:30 PM? Answer: 4:42 PM Statement: How many minutes are there between 8:04 AM and 5:10 PM? Answer: 546 Statement: What is 167 minutes before 3:58 PM? Answer: 1:11 PM Statement: What is 240 minutes after 6:31 PM? Answer: 10:31 PM Statement: How many minutes are there between 2:26 PM and 4:32 PM? Answer: 126 Statement: What is 141 minutes before 7:13 PM? Answer: 4:52 PM Statement: What is 543 minutes before 12:35 AM? Answer: 3:32 PM Statement: What is 141 minutes before 1:11 AM? Answer: 10:50 PM Statement: What is 386 minutes after 8:57 PM? Answer: 3:23 AM Statement: What is 313 minutes after 4:35 PM? Answer: 9:48 PM Statement: What is 332 minutes after 3:00 AM? Answer: 8:32 AM Statement: What is 295 minutes before 4:52 AM? Answer: 11:57 PM Statement: How many minutes are there between 10:44 AM and 1:50 PM? Answer: 186 Statement: What is 586 minutes before 1:13 AM? Answer: 3:27 PM Statement: How many minutes are there between 2:13 AM and 5:28 AM? Answer: 195 Statement: What is 154 minutes before 5:40 PM? Answer: 3:06 PM Statement: What is 652 minutes after 4:14 AM? Answer: 3:06 PM Statement: How many minutes are there between 5:23 AM and 9:19 AM? Answer: 236 Statement: What is 700 minutes before 9:28 AM? Answer: 9:48 PM Statement: How many minutes are there between 3:03 PM and 7:54 PM? Answer: 291 Statement: What is 49 minutes before 7:27 PM? Answer: 6:38 PM Statement: How many minutes are there between 11:17 AM and
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numbers: gcd ------------ Ask: Calculate the greatest common factor of 132 and 19976. Gives: 44 Ask: Calculate the highest common divisor of 34 and 646. Gives: 34 Ask: Calculate the highest common divisor of 97470 and 810. Gives: 270 Ask: What is the highest common divisor of 4346241 and 46? Gives: 23 Ask: What is the greatest common factor of 31 and 15345? Gives: 31 Ask: Calculate the highest common factor of 1501 and 152. Gives: 19 Ask: What is the greatest common divisor of 120574 and 2? Gives: 2 Ask: Calculate the highest common divisor of 22 and 46. Gives: 2 Ask: What is the greatest common divisor of 68 and 901? Gives: 17 Ask: What is the highest common divisor of 32 and 328? Gives: 8 Ask: Calculate the greatest common divisor of 36 and 1182. Gives: 6 Ask: What is the greatest common factor of 17 and 527? Gives: 17 Ask: What is the greatest common divisor of 77587 and 9? Gives: 1 Ask: Calculate the greatest common factor of 205 and 10. Gives: 5 Ask: Calculate the greatest common divisor of 1827042 and 4592. Gives: 574 Ask: Calculate the greatest common divisor of 7170 and 2. Gives: 2 Ask: What is the greatest common divisor of 72 and 1152? Gives: 72 Ask: Calculate the highest common divisor of 3914 and 23370. Gives: 38 Ask: Calculate the greatest common factor of 3640 and 1553760. Gives: 520 Ask: What is the highest common factor of 480 and 35919050? Gives: 10 Ask: Calculate the highest common divisor of 168 and 3067036. Gives: 28 Ask: Calculate the highest common divisor of 92009178 and 93. Gives: 93 Ask: What is the highest common divisor of 504 and 79038? Gives: 18 Ask: What is the greatest common factor of 5143 and 7814992? Gives: 37 Ask: What is the greatest common divisor of 11 and 451? Gives: 11 Ask: What is the highest common factor of 140 and 20? Gives: 20 Ask: Calculate the greatest common divisor of 1105391793 and 922. Gives: 461 Ask: Calculate the highest common divisor of 9936 and 2376. Gives: 216 Ask: Calculate the greatest common factor of 1650
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numbers: place value -------------------- Case: What is the ten thousands digit of 28320? Gives: 2 Case: What is the hundreds digit of 575145389? Gives: 3 Case: What is the millions digit of 1032037295? Gives: 2 Case: What is the thousands digit of 1774862? Gives: 4 Case: What is the hundred thousands digit of 8585872? Gives: 5 Case: What is the millions digit of 41747625? Gives: 1 Case: What is the units digit of 141982? Gives: 2 Case: What is the thousands digit of 475182952? Gives: 2 Case: What is the hundred millions digit of 2115048269? Gives: 1 Case: What is the millions digit of 85784053? Gives: 5 Case: What is the tens digit of 29211064? Gives: 6 Case: What is the units digit of 662? Gives: 2 Case: What is the ten thousands digit of 112953581? Gives: 5 Case: What is the hundreds digit of 2751528? Gives: 5 Case: What is the millions digit of 2043497? Gives: 2 Case: What is the tens digit of 9550? Gives: 5 Case: What is the tens digit of 536516? Gives: 1 Case: What is the units digit of 102102? Gives: 2 Case: What is the hundreds digit of 492? Gives: 4 Case: What is the tens digit of 441322647? Gives: 4 Case: What is the hundreds digit of 9342? Gives: 3 Case: What is the ten thousands digit of 36896628? Gives: 9 Case: What is the thousands digit of 4212364? Gives: 2 Case: What is the ten thousands digit of 691305? Gives: 9 Case: What is the thousands digit of 234497? Gives: 4 Case: What is the hundred thousands digit of 3361605? Gives: 3 Case: What is the thousands digit of 942070? Gives: 2 Case: What is the thousands digit of 784639367? Gives: 9 Case: What is the hundreds digit of 2855710? Gives: 7 Case: What is the tens digit of 54652242? Gives: 4 Case: What is the ten thousands digit of 104580? Gives: 0 Case: What is the tens digit of 4904857? Gives: 5 Case: What is the units digit of 4548? Gives: 8 Case: What is the units digit of 3151945? Gives: 5 Case: What is the millions digit of 48426355? Gives: 8 Case: What is the ten thousands digit of 568430? Gives
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numbers: div remainder ---------------------- Example: What is the remainder when 69298 is divided by 674? A.: 550 Example: What is the remainder when 2769157 is divided by 2203? A.: 2189 Example: What is the remainder when 803184 is divided by 1915? A.: 799 Example: Calculate the remainder when 24228105 is divided by 50. A.: 5 Example: Calculate the remainder when 9112612 is divided by 636. A.: 4 Example: What is the remainder when 9319 is divided by 9270? A.: 49 Example: Calculate the remainder when 38 is divided by 13. A.: 12 Example: Calculate the remainder when 70 is divided by 12. A.: 10 Example: Calculate the remainder when 43225 is divided by 151. A.: 39 Example: What is the remainder when 1135 is divided by 2? A.: 1 Example: Calculate the remainder when 1707 is divided by 1689. A.: 18 Example: Calculate the remainder when 123 is divided by 25. A.: 23 Example: What is the remainder when 4120 is divided by 342? A.: 16 Example: What is the remainder when 558 is divided by 50? A.: 8 Example: Calculate the remainder when 38175 is divided by 5389. A.: 452 Example: Calculate the remainder when 404 is divided by 3. A.: 2 Example: Calculate the remainder when 86 is divided by 15. A.: 11 Example: What is the remainder when 771078 is divided by 505? A.: 448 Example: Calculate the remainder when 2298 is divided by 1007. A.: 284 Example: What is the remainder when 1175 is divided by 536? A.: 103 Example: What is the remainder when 5462339 is divided by 225? A.: 14 Example: Calculate the remainder when 4028820 is divided by 218. A.: 180 Example: What is the remainder when 67 is divided by 14? A.: 11 Example: Calculate the remainder when 89391 is divided by 1655. A.: 21 Example: What is the remainder when 87257 is divided by 637? A.: 625 Example: What is the remainder when 1145371 is divided by 74? A.: 73 Example: What is the remainder when 44601 is divided by 4164? A.: 2961 Example: Calculate the remainder when 19262 is divided by 347. A.: 177 Example: Calculate the rema
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measurement: conversion ----------------------- Example: How many tonnes are there in 4214.491 micrograms? Sol: 0.000000004214491 Example: What is twenty-six fifths of a kilometer in meters? Sol: 5200 Example: How many grams are there in 27/2 of a kilogram? Sol: 13500 Example: How many kilograms are there in fourty-six fifths of a tonne? Sol: 9200 Example: What is 13596.168 months in decades? Sol: 113.3014 Example: Convert 423.253g to kilograms. Sol: 0.423253 Example: How many millimeters are there in twenty-seven fifths of a meter? Sol: 5400 Example: What is 0.2215994 nanometers in meters? Sol: 0.0000000002215994 Example: Convert 95457.56 millimeters to kilometers. Sol: 0.09545756 Example: How many nanograms are there in 3/50 of a milligram? Sol: 60000 Example: Convert 614.7669nm to micrometers. Sol: 0.6147669 Example: How many meters are there in 17/2 of a kilometer? Sol: 8500 Example: How many nanometers are there in 27/4 of a micrometer? Sol: 6750 Example: What is 74/3 of a day in hours? Sol: 592 Example: Convert 581.2743kg to nanograms. Sol: 581274300000000 Example: What is twenty-one quarters of a litre in millilitres? Sol: 5250 Example: What is 80207.27s in microseconds? Sol: 80207270000 Example: How many millilitres are there in 8.433722l? Sol: 8433.722 Example: Convert 0.7452311t to milligrams. Sol: 745231100 Example: What is 53/5 of a litre in millilitres? Sol: 10600 Example: How many nanograms are there in 8.39321 tonnes? Sol: 8393210000000000 Example: What is 42/5 of a litre in millilitres? Sol: 8400 Example: How many millilitres are there in 3/25 of a litre? Sol: 120 Example: What is seventeen quarters of a millimeter in micrometers? Sol: 4250 Example: Convert 6400.369 millimeters to centimeters. Sol: 640.0369 Example: What is fourty-two fifths of a millennium in decades? Sol: 840 Example: Convert 4012.739mg to nanograms. Sol: 4012739000 Example: How many seconds are there in 768.383us? Sol: 0.000768383 Example: What is 737959.5us in nanoseconds? Sol: 7
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numbers: is prime ----------------- Let: Is 195095 composite? Response: True Let: Is 485829481 composite? Response: False Let: Is 883260571 prime? Response: True Let: Is 106405103 composite? Response: True Let: Is 649 composite? Response: True Let: Is 6229072987 a prime number? Response: False Let: Is 3151129 prime? Response: True Let: Is 2286373 prime? Response: True Let: Is 935651 a composite number? Response: False Let: Is 7157354027 prime? Response: True Let: Is 10354422601 a composite number? Response: True Let: Is 349834753 a composite number? Response: False Let: Is 33236431 a composite number? Response: False Let: Is 1129227107 prime? Response: False Let: Is 985679 prime? Response: True Let: Is 311719357 composite? Response: True Let: Is 2531562247 composite? Response: True Let: Is 319830899 a composite number? Response: True Let: Is 156539 composite? Response: False Let: Is 203417 prime? Response: True Let: Is 33403 composite? Response: False Let: Is 67793 prime? Response: False Let: Is 28821744569 composite? Response: True Let: Is 19563 prime? Response: False Let: Is 37173318829 a prime number? Response: True Let: Is 70409621 a prime number? Response: True Let: Is 5639 composite? Response: False Let: Is 54341946821 a composite number? Response: False Let: Is 1871217911 a prime number? Response: False Let: Is 51893 a composite number? Response: False Let: Is 45245411 prime? Response: False Let: Is 42998866067 composite? Response: False Let: Is 3714134579 prime? Response: True Let: Is 14838983 composite? Response: True Let: Is 5077500187 prime? Response: True Let: Is 86741881 composite? Response: False Let: Is 13217581 prime? Response: False Let: Is 5053 composite? Response: True Let: Is 14603 composite? Response: True Let: Is 2258933711 prime? Response: True Let: Is 22186949413 a composite number? Response: False Let: Is 3640223 composite? Response: False Let: Is 42667 a composite number? Response: False Let: Is 35353 a prime number? Response: True Let: Is
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numbers: div remainder ---------------------- Topic: What is the remainder when 4814 is divided by 37? Key: 4 Topic: Calculate the remainder when 566 is divided by 30. Key: 26 Topic: What is the remainder when 6638 is divided by 1326? Key: 8 Topic: Calculate the remainder when 382 is divided by 56. Key: 46 Topic: Calculate the remainder when 492 is divided by 186. Key: 120 Topic: Calculate the remainder when 829 is divided by 26. Key: 23 Topic: Calculate the remainder when 168554 is divided by 56073. Key: 335 Topic: Calculate the remainder when 512996 is divided by 128249. Key: 0 Topic: Calculate the remainder when 377776 is divided by 549. Key: 64 Topic: Calculate the remainder when 5277 is divided by 38. Key: 33 Topic: What is the remainder when 102071 is divided by 299? Key: 112 Topic: Calculate the remainder when 15059106 is divided by 202. Key: 6 Topic: Calculate the remainder when 6580 is divided by 1315. Key: 5 Topic: What is the remainder when 1368 is divided by 98? Key: 94 Topic: Calculate the remainder when 287873039 is divided by 5380. Key: 5379 Topic: What is the remainder when 290 is divided by 49? Key: 45 Topic: What is the remainder when 416222 is divided by 2651? Key: 15 Topic: What is the remainder when 95 is divided by 52? Key: 43 Topic: Calculate the remainder when 364384767 is divided by 4268. Key: 4267 Topic: Calculate the remainder when 3768 is divided by 1244. Key: 36 Topic: What is the remainder when 39842678 is divided by 5781? Key: 26 Topic: What is the remainder when 10392 is divided by 657? Key: 537 Topic: Calculate the remainder when 25074 is divided by 4839. Key: 879 Topic: Calculate the remainder when 2615940 is divided by 2615899. Key: 41 Topic: Calculate the remainder when 4578 is divided by 415. Key: 13 Topic: What is the remainder when 651904 is divided by 325929? Key: 46 Topic: Calculate the remainder when 5575383 is divided by 1544. Key: 1543 Topic: Calculate the remainder when 65 is divided by 32. Key: 1 Topic: What is the remai
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probability: swr p level set ---------------------------- Issue: Three letters picked without replacement from ikxxsnlik. Give prob of picking 1 x, 1 s, and 1 i. Output: 1/21 Issue: Calculate prob of picking 4 a when four letters picked without replacement from aiaiaaiaaaaiaiii. Output: 9/130 Issue: Two letters picked without replacement from rrtzqzrrvqrrdzrrtr. What is prob of picking 1 v and 1 t? Output: 2/153 Issue: Calculate prob of picking 2 r when two letters picked without replacement from {i: 11, d: 2, r: 2}. Output: 1/105 Issue: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from hhhhwhlwjhllllhlhljw. Output: 3/95 Issue: Two letters picked without replacement from {l: 3, n: 11}. Give prob of picking 2 n. Output: 55/91 Issue: What is prob of picking 1 j and 2 s when three letters picked without replacement from {p: 8, j: 1, u: 3, k: 4, s: 3}? Output: 1/323 Issue: Three letters picked without replacement from {x: 4, b: 2, u: 2, p: 2, m: 4}. Give prob of picking 1 m and 2 x. Output: 6/91 Issue: Four letters picked without replacement from {g: 15, t: 4}. What is prob of picking 3 g and 1 t? Output: 455/969 Issue: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from mtmfftfmfitmttmf. Output: 5/24 Issue: Calculate prob of picking 1 e and 3 h when four letters picked without replacement from {h: 4, e: 3}. Output: 12/35 Issue: What is prob of picking 1 q and 1 j when two letters picked without replacement from {j: 2, x: 6, q: 1, t: 4, e: 7}? Output: 1/95 Issue: Calculate prob of picking 1 b, 1 c, and 1 q when three letters picked without replacement from qbbobbbbqbbbbcgbobbr. Output: 13/570 Issue: What is prob of picking 1 f and 1 t when two letters picked without replacement from mtdnf? Output: 1/10 Issue: Four letters picked without replacement from bbbbbbbbbbbbbbxbbx. What is prob of picking 1 x and 3 b? Output: 56/153 Issue: Calculate prob of picking 2 y when two letters picked without replace
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measurement: conversion ----------------------- Q): What is 0.5967031 weeks in nanoseconds? Calculation: 360886034880000 Q): How many seconds are there in 7/8 of a hour? Calculation: 3150 Q): What is thirty-three fifths of a litre in millilitres? Calculation: 6600 Q): What is 74/3 of a day in minutes? Calculation: 35520 Q): What is 3995.616 millilitres in litres? Calculation: 3.995616 Q): What is 27/4 of a kilometer in meters? Calculation: 6750 Q): What is 4/15 of a week in minutes? Calculation: 2688 Q): How many kilograms are there in 1/5 of a tonne? Calculation: 200 Q): What is 1/5 of a kilometer in centimeters? Calculation: 20000 Q): How many milligrams are there in 51.76051 tonnes? Calculation: 51760510000 Q): What is 29/2 of a litre in millilitres? Calculation: 14500 Q): How many years are there in 5.132824 decades? Calculation: 51.32824 Q): What is 3/40 of a gram in micrograms? Calculation: 75000 Q): What is three fifths of a meter in centimeters? Calculation: 60 Q): How many minutes are there in 2/45 of a week? Calculation: 448 Q): How many nanograms are there in twenty-six fifths of a microgram? Calculation: 5200 Q): How many months are there in 7/2 of a year? Calculation: 42 Q): What is 8.776632 millilitres in litres? Calculation: 0.008776632 Q): How many kilograms are there in 7/8 of a tonne? Calculation: 875 Q): What is 11318.81nm in micrometers? Calculation: 11.31881 Q): Convert 57.53087 years to decades. Calculation: 5.753087 Q): How many years are there in 12/25 of a century? Calculation: 48 Q): How many seconds are there in 5/24 of a day? Calculation: 18000 Q): How many years are there in 955.3484 centuries? Calculation: 95534.84 Q): How many micrometers are there in 3.765067 kilometers? Calculation: 3765067000 Q): How many millimeters are there in 0.9634396m? Calculation: 963.4396 Q): How many millilitres are there in fifty-five halves of a litre? Calculation: 27500 Q): How many microseconds are there in one sixteenth of a second? Calculation: 62500
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numbers: is prime ----------------- Issue: Is 414503 composite? Workthrough: False Issue: Is 311094635 prime? Workthrough: False Issue: Is 167285 composite? Workthrough: True Issue: Is 31894768739 a prime number? Workthrough: False Issue: Is 25772129137 a prime number? Workthrough: True Issue: Is 105735661 a prime number? Workthrough: True Issue: Is 8869466927 prime? Workthrough: False Issue: Is 379489 a composite number? Workthrough: True Issue: Is 46551334343 composite? Workthrough: True Issue: Is 41669 a composite number? Workthrough: False Issue: Is 157664839 composite? Workthrough: True Issue: Is 4757 composite? Workthrough: True Issue: Is 778177 a prime number? Workthrough: False Issue: Is 51071 prime? Workthrough: True Issue: Is 12968239 composite? Workthrough: True Issue: Is 652132147 a prime number? Workthrough: True Issue: Is 30337157 composite? Workthrough: False Issue: Is 233129009 a composite number? Workthrough: False Issue: Is 10041020629 prime? Workthrough: True Issue: Is 12309877 a prime number? Workthrough: True Issue: Is 27857128361 a composite number? Workthrough: False Issue: Is 184648877 a composite number? Workthrough: True Issue: Is 9573847 composite? Workthrough: False Issue: Is 997340879 composite? Workthrough: False Issue: Is 4919148323 a composite number? Workthrough: False Issue: Is 7019 prime? Workthrough: True Issue: Is 55356949 a prime number? Workthrough: True Issue: Is 165398449 composite? Workthrough: False Issue: Is 3117241 prime? Workthrough: True Issue: Is 1277 composite? Workthrough: False Issue: Is 162031219 a composite number? Workthrough: True Issue: Is 46385113213 composite? Workthrough: False Issue: Is 2019503 prime? Workthrough: True Issue: Is 1797745 a composite number? Workthrough: True Issue: Is 3655485203 composite? Workthrough: False Issue: Is 3689311583 prime? Workthrough: True Issue: Is 7644437 a prime number? Workthrough: False Issue: Is 12740037 prime? Workthrough: False Issue: Is 14936807 prime? Workthrough: Tru
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measurement: time ----------------- Prompt: How many minutes are there between 9:04 PM and 9:58 PM? Sol: 54 Prompt: What is 652 minutes before 4:42 PM? Sol: 5:50 AM Prompt: How many minutes are there between 12:37 PM and 10:32 PM? Sol: 595 Prompt: How many minutes are there between 1:25 AM and 3:41 AM? Sol: 136 Prompt: What is 582 minutes after 12:21 PM? Sol: 10:03 PM Prompt: How many minutes are there between 7:33 AM and 8:29 AM? Sol: 56 Prompt: How many minutes are there between 6:21 AM and 8:53 AM? Sol: 152 Prompt: What is 587 minutes after 9:43 PM? Sol: 7:30 AM Prompt: How many minutes are there between 11:12 AM and 9:28 PM? Sol: 616 Prompt: What is 293 minutes before 3:12 AM? Sol: 10:19 PM Prompt: What is 503 minutes after 5:48 PM? Sol: 2:11 AM Prompt: What is 283 minutes before 5:14 AM? Sol: 12:31 AM Prompt: How many minutes are there between 10:30 PM and 2:54 AM? Sol: 264 Prompt: How many minutes are there between 7:05 PM and 9:21 PM? Sol: 136 Prompt: How many minutes are there between 4:26 PM and 10:57 PM? Sol: 391 Prompt: How many minutes are there between 1:49 AM and 9:37 AM? Sol: 468 Prompt: What is 667 minutes before 2:27 AM? Sol: 3:20 PM Prompt: What is 136 minutes before 10:45 PM? Sol: 8:29 PM Prompt: How many minutes are there between 5:27 PM and 12:08 AM? Sol: 401 Prompt: What is 103 minutes after 11:49 AM? Sol: 1:32 PM Prompt: What is 568 minutes after 12:40 PM? Sol: 10:08 PM Prompt: What is 328 minutes before 10:40 PM? Sol: 5:12 PM Prompt: How many minutes are there between 12:37 AM and 11:38 AM? Sol: 661 Prompt: How many minutes are there between 10:38 AM and 2:00 PM? Sol: 202 Prompt: How many minutes are there between 11:15 PM and 9:33 AM? Sol: 618 Prompt: How many minutes are there between 12:32 AM and 4:42 AM? Sol: 250 Prompt: How many minutes are there between 4:27 AM and 9:22 AM? Sol: 295 Prompt: What is 398 minutes after 10:31 PM? Sol: 5:09 AM Prompt: How many minutes are there between 2:56 PM and 2:42 AM? Sol: 706 Prompt: How many minutes a
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measurement: time ----------------- Exercise: What is 617 minutes after 6:39 AM? Ans: 4:56 PM Exercise: What is 67 minutes after 7:19 PM? Ans: 8:26 PM Exercise: What is 42 minutes before 4:49 PM? Ans: 4:07 PM Exercise: How many minutes are there between 6:21 AM and 9:14 AM? Ans: 173 Exercise: How many minutes are there between 12:21 PM and 8:03 PM? Ans: 462 Exercise: How many minutes are there between 12:19 PM and 4:44 PM? Ans: 265 Exercise: How many minutes are there between 5:52 AM and 9:23 AM? Ans: 211 Exercise: What is 331 minutes before 3:06 AM? Ans: 9:35 PM Exercise: What is 470 minutes after 4:57 AM? Ans: 12:47 PM Exercise: What is 703 minutes before 8:34 PM? Ans: 8:51 AM Exercise: What is 706 minutes before 3:25 PM? Ans: 3:39 AM Exercise: What is 107 minutes before 12:24 PM? Ans: 10:37 AM Exercise: How many minutes are there between 12:54 PM and 1:14 PM? Ans: 20 Exercise: What is 660 minutes before 11:54 PM? Ans: 12:54 PM Exercise: How many minutes are there between 6:50 AM and 3:49 PM? Ans: 539 Exercise: How many minutes are there between 11:35 PM and 7:12 AM? Ans: 457 Exercise: What is 141 minutes before 4:55 AM? Ans: 2:34 AM Exercise: What is 117 minutes before 1:56 AM? Ans: 11:59 PM Exercise: What is 209 minutes before 4:56 PM? Ans: 1:27 PM Exercise: What is 195 minutes after 8:11 PM? Ans: 11:26 PM Exercise: What is 655 minutes before 4:22 PM? Ans: 5:27 AM Exercise: What is 501 minutes before 5:46 AM? Ans: 9:25 PM Exercise: What is 323 minutes after 4:53 PM? Ans: 10:16 PM Exercise: How many minutes are there between 11:42 AM and 11:36 PM? Ans: 714 Exercise: What is 588 minutes after 2:09 AM? Ans: 11:57 AM Exercise: How many minutes are there between 1:42 PM and 11:52 PM? Ans: 610 Exercise: What is 139 minutes after 4:15 AM? Ans: 6:34 AM Exercise: How many minutes are there between 4:40 AM and 12:53 PM? Ans: 493 Exercise: What is 576 minutes before 2:50 PM? Ans: 5:14 AM Exercise: What is 596 minutes after 10:10 PM? Ans: 8:06 AM Exercise: How many minutes
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probability: swr p sequence --------------------------- Request: Three letters picked without replacement from {l: 3, p: 1, u: 1, c: 1, r: 1}. What is prob of sequence lcp? Outcome: 1/70 Request: What is prob of sequence tvib when four letters picked without replacement from {h: 1, b: 2, v: 1, i: 1, p: 1, t: 2}? Outcome: 1/420 Request: Three letters picked without replacement from {x: 5, p: 2, f: 3, s: 5}. Give prob of sequence pfx. Outcome: 1/91 Request: Calculate prob of sequence yox when three letters picked without replacement from mmymaaaaxaaaaaaoam. Outcome: 1/4896 Request: Four letters picked without replacement from {m: 3, h: 2, p: 4}. Give prob of sequence phph. Outcome: 1/126 Request: Four letters picked without replacement from {c: 8, s: 5}. What is prob of sequence sssc? Outcome: 4/143 Request: Two letters picked without replacement from mrrrmm. Give prob of sequence rm. Outcome: 3/10 Request: What is prob of sequence itk when three letters picked without replacement from skiiktikkkitiikitktk? Outcome: 28/855 Request: Four letters picked without replacement from hhxxhhhhxhhhhhhhhh. Give prob of sequence hxxh. Outcome: 7/408 Request: What is prob of sequence epve when four letters picked without replacement from pppepeevpvepeepddp? Outcome: 1/153 Request: Three letters picked without replacement from {v: 5, u: 2, x: 2, b: 1, c: 6}. What is prob of sequence cbx? Outcome: 1/280 Request: Four letters picked without replacement from hchcozccczchccco. What is prob of sequence hzzo? Outcome: 1/3640 Request: Calculate prob of sequence qqr when three letters picked without replacement from vrnvrqnnrnq. Outcome: 1/165 Request: Four letters picked without replacement from {f: 2, o: 2, y: 4, q: 2}. What is prob of sequence fofo? Outcome: 1/1260 Request: Calculate prob of sequence nj when two letters picked without replacement from injfinifi. Outcome: 1/36 Request: Three letters picked without replacement from {h: 3, d: 10, k: 2}. What is prob of sequence ddh? Outcom
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numbers: is prime ----------------- Prompt: Is 83527771 a composite number? Compute: False Prompt: Is 6207 a prime number? Compute: False Prompt: Is 4939507 prime? Compute: False Prompt: Is 5345 a prime number? Compute: False Prompt: Is 127845139 a composite number? Compute: False Prompt: Is 59378827 composite? Compute: False Prompt: Is 114313961 prime? Compute: False Prompt: Is 2140337 a composite number? Compute: False Prompt: Is 5038031 composite? Compute: True Prompt: Is 3547517 composite? Compute: False Prompt: Is 5874829 a prime number? Compute: True Prompt: Is 24365093 composite? Compute: False Prompt: Is 10108723 a prime number? Compute: True Prompt: Is 21283054259 prime? Compute: True Prompt: Is 833633 a composite number? Compute: False Prompt: Is 238030973 a prime number? Compute: True Prompt: Is 198782187 a prime number? Compute: False Prompt: Is 16032047713 composite? Compute: True Prompt: Is 7789 prime? Compute: True Prompt: Is 238787 prime? Compute: False Prompt: Is 879 a composite number? Compute: True Prompt: Is 25386449437 prime? Compute: True Prompt: Is 20408589479 prime? Compute: False Prompt: Is 31931 a prime number? Compute: False Prompt: Is 447611431 a prime number? Compute: True Prompt: Is 4609 composite? Compute: True Prompt: Is 10195319 prime? Compute: True Prompt: Is 72547 a prime number? Compute: True Prompt: Is 55789255273 prime? Compute: True Prompt: Is 10883 a prime number? Compute: True Prompt: Is 18007 a composite number? Compute: True Prompt: Is 3720533 prime? Compute: False Prompt: Is 38116723 a composite number? Compute: False Prompt: Is 1516217 prime? Compute: True Prompt: Is 2055703627 a prime number? Compute: True Prompt: Is 142936375613 a composite number? Compute: False Prompt: Is 19017433 composite? Compute: True Prompt: Is 53061557 composite? Compute: True Prompt: Is 1044983 composite? Compute: True Prompt: Is 40133 a prime number? Compute: False Prompt: Is 3574329493 prime? Compute: False Prompt: Is 101429 a prime number? C
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arithmetic: nearest integer root -------------------------------- Ask: What is the square root of 65192 to the nearest integer? Result: 255 Ask: What is the square root of 367595657 to the nearest integer? Result: 19173 Ask: What is the ninth root of 3792 to the nearest integer? Result: 2 Ask: What is the square root of 949825 to the nearest integer? Result: 975 Ask: What is 7355 to the power of 1/5, to the nearest integer? Result: 6 Ask: What is the square root of 494756 to the nearest integer? Result: 703 Ask: What is the square root of 40080 to the nearest integer? Result: 200 Ask: What is the square root of 520808 to the nearest integer? Result: 722 Ask: What is the square root of 1628184 to the nearest integer? Result: 1276 Ask: What is the fifth root of 518444 to the nearest integer? Result: 14 Ask: What is the cube root of 251956 to the nearest integer? Result: 63 Ask: What is 8516811 to the power of 1/4, to the nearest integer? Result: 54 Ask: What is the third root of 131518607 to the nearest integer? Result: 509 Ask: What is the square root of 82370 to the nearest integer? Result: 287 Ask: What is the square root of 222567 to the nearest integer? Result: 472 Ask: What is 6017916 to the power of 1/2, to the nearest integer? Result: 2453 Ask: What is 117642051 to the power of 1/2, to the nearest integer? Result: 10846 Ask: What is 6499 to the power of 1/3, to the nearest integer? Result: 19 Ask: What is 70969993 to the power of 1/3, to the nearest integer? Result: 414 Ask: What is the square root of 975260 to the nearest integer? Result: 988 Ask: What is the square root of 930 to the nearest integer? Result: 30 Ask: What is 38144339 to the power of 1/3, to the nearest integer? Result: 337 Ask: What is the fourth root of 656 to the nearest integer? Result: 5 Ask: What is 39213818 to the power of 1/6, to the nearest integer? Result: 18 Ask: What is the tenth root of 4836769 to the nearest integer? Result: 5 Ask: What is the third root of 113653 to the nearest
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numbers: is prime ----------------- Puzzle: Is 2674760071 composite? Derivation: False Puzzle: Is 6268476107 composite? Derivation: True Puzzle: Is 104390864759 a composite number? Derivation: False Puzzle: Is 853328377 composite? Derivation: True Puzzle: Is 10238113 a prime number? Derivation: True Puzzle: Is 3802753 a prime number? Derivation: True Puzzle: Is 3390154111 a composite number? Derivation: False Puzzle: Is 69212393 a composite number? Derivation: False Puzzle: Is 25429507771 prime? Derivation: True Puzzle: Is 128759009 a composite number? Derivation: False Puzzle: Is 2187607937 prime? Derivation: True Puzzle: Is 16574052967 composite? Derivation: True Puzzle: Is 11311 a composite number? Derivation: False Puzzle: Is 50062 a composite number? Derivation: True Puzzle: Is 2328809 prime? Derivation: False Puzzle: Is 102941 prime? Derivation: False Puzzle: Is 126545023153 prime? Derivation: False Puzzle: Is 1494289 a prime number? Derivation: True Puzzle: Is 52380800117 prime? Derivation: True Puzzle: Is 98532894037 prime? Derivation: True Puzzle: Is 17519 a composite number? Derivation: False Puzzle: Is 7671 a composite number? Derivation: True Puzzle: Is 587663 prime? Derivation: False Puzzle: Is 451361461 composite? Derivation: False Puzzle: Is 100097 composite? Derivation: True Puzzle: Is 9300420743 composite? Derivation: False Puzzle: Is 8929931273 composite? Derivation: False Puzzle: Is 422797 a prime number? Derivation: True Puzzle: Is 16243 a prime number? Derivation: False Puzzle: Is 2679841 a prime number? Derivation: True Puzzle: Is 15564827 composite? Derivation: True Puzzle: Is 46463 prime? Derivation: False Puzzle: Is 964031 a prime number? Derivation: False Puzzle: Is 16707896263 composite? Derivation: False Puzzle: Is 15145601 composite? Derivation: True Puzzle: Is 18158461 a composite number? Derivation: True Puzzle: Is 8887 a composite number? Derivation: False Puzzle: Is 1745132329 a composite number? Derivation: True Puzzle: Is 4343 a pr
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measurement: time ----------------- Topic: What is 517 minutes after 7:49 PM? Fix: 4:26 AM Topic: How many minutes are there between 6:30 PM and 8:14 PM? Fix: 104 Topic: What is 432 minutes before 1:18 PM? Fix: 6:06 AM Topic: How many minutes are there between 7:46 PM and 3:32 AM? Fix: 466 Topic: What is 578 minutes after 2:32 AM? Fix: 12:10 PM Topic: How many minutes are there between 7:05 PM and 5:33 AM? Fix: 628 Topic: What is 38 minutes after 3:12 PM? Fix: 3:50 PM Topic: How many minutes are there between 7:50 AM and 12:50 PM? Fix: 300 Topic: What is 508 minutes after 9:05 PM? Fix: 5:33 AM Topic: How many minutes are there between 9:04 PM and 8:41 AM? Fix: 697 Topic: How many minutes are there between 2:07 AM and 7:48 AM? Fix: 341 Topic: What is 207 minutes before 5:51 PM? Fix: 2:24 PM Topic: What is 209 minutes before 10:29 AM? Fix: 7:00 AM Topic: How many minutes are there between 6:53 PM and 9:38 PM? Fix: 165 Topic: What is 344 minutes after 9:44 AM? Fix: 3:28 PM Topic: How many minutes are there between 2:51 AM and 9:55 AM? Fix: 424 Topic: How many minutes are there between 3:23 AM and 10:02 AM? Fix: 399 Topic: What is 581 minutes before 2:14 AM? Fix: 4:33 PM Topic: What is 127 minutes after 9:27 AM? Fix: 11:34 AM Topic: What is 661 minutes before 10:00 PM? Fix: 10:59 AM Topic: How many minutes are there between 4:14 PM and 8:39 PM? Fix: 265 Topic: What is 88 minutes after 11:14 AM? Fix: 12:42 PM Topic: How many minutes are there between 10:04 PM and 9:11 AM? Fix: 667 Topic: How many minutes are there between 1:44 PM and 7:26 PM? Fix: 342 Topic: How many minutes are there between 4:50 PM and 10:57 PM? Fix: 367 Topic: What is 547 minutes before 10:50 PM? Fix: 1:43 PM Topic: What is 60 minutes before 12:08 AM? Fix: 11:08 PM Topic: How many minutes are there between 12:04 AM and 8:04 AM? Fix: 480 Topic: What is 101 minutes after 10:07 PM? Fix: 11:48 PM Topic: How many minutes are there between 6:43 AM and 4:11 PM? Fix: 568 Topic: How many minutes are there betw
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numbers: place value -------------------- Qn: What is the tens digit of 148620? Clarification: 2 Qn: What is the hundred thousands digit of 681831? Clarification: 6 Qn: What is the units digit of 85335677? Clarification: 7 Qn: What is the thousands digit of 1037565054? Clarification: 5 Qn: What is the tens digit of 2064436? Clarification: 3 Qn: What is the tens digit of 129406? Clarification: 0 Qn: What is the hundreds digit of 198946? Clarification: 9 Qn: What is the ten thousands digit of 3370212? Clarification: 7 Qn: What is the ten thousands digit of 5681675? Clarification: 8 Qn: What is the tens digit of 153784? Clarification: 8 Qn: What is the ten thousands digit of 368727? Clarification: 6 Qn: What is the hundreds digit of 91794299? Clarification: 2 Qn: What is the billions digit of 2475005377? Clarification: 2 Qn: What is the thousands digit of 96564? Clarification: 6 Qn: What is the ten millions digit of 164654288? Clarification: 6 Qn: What is the tens digit of 258405591? Clarification: 9 Qn: What is the units digit of 972821? Clarification: 1 Qn: What is the thousands digit of 2171? Clarification: 2 Qn: What is the tens digit of 118398525? Clarification: 2 Qn: What is the thousands digit of 59637? Clarification: 9 Qn: What is the hundreds digit of 2116714? Clarification: 7 Qn: What is the hundreds digit of 590? Clarification: 5 Qn: What is the thousands digit of 41619818? Clarification: 9 Qn: What is the hundred thousands digit of 351551? Clarification: 3 Qn: What is the millions digit of 1045815? Clarification: 1 Qn: What is the units digit of 2145351369? Clarification: 9 Qn: What is the hundreds digit of 141424? Clarification: 4 Qn: What is the ten thousands digit of 157211909? Clarification: 1 Qn: What is the units digit of 52407936? Clarification: 6 Qn: What is the millions digit of 630885403? Clarification: 0 Qn: What is the ten thousands digit of 39416? Clarification: 3 Qn: What is the tens digit of 24785945? Clarification: 4 Qn: What is the hundred
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numbers: gcd ------------ Problem #: Calculate the highest common factor of 341 and 31. Final Answer: 31 Problem #: Calculate the highest common factor of 19872 and 2616. Final Answer: 24 Problem #: What is the greatest common factor of 100912969 and 21148? Final Answer: 5287 Problem #: What is the highest common divisor of 45264 and 259817? Final Answer: 41 Problem #: What is the greatest common factor of 496 and 31434? Final Answer: 62 Problem #: Calculate the highest common divisor of 9588722 and 2704. Final Answer: 338 Problem #: What is the highest common divisor of 33 and 303699? Final Answer: 33 Problem #: Calculate the highest common factor of 137025 and 1665675. Final Answer: 225 Problem #: Calculate the highest common divisor of 9 and 1566. Final Answer: 9 Problem #: What is the greatest common divisor of 432 and 122904? Final Answer: 216 Problem #: Calculate the highest common factor of 3266 and 2829989. Final Answer: 1633 Problem #: Calculate the greatest common divisor of 10 and 41940. Final Answer: 10 Problem #: Calculate the greatest common divisor of 2490 and 72028230. Final Answer: 2490 Problem #: Calculate the highest common factor of 112 and 8544. Final Answer: 16 Problem #: Calculate the highest common factor of 87 and 440997519. Final Answer: 87 Problem #: What is the greatest common divisor of 1056123 and 3096? Final Answer: 387 Problem #: Calculate the highest common factor of 485 and 10. Final Answer: 5 Problem #: What is the highest common divisor of 3490 and 20? Final Answer: 10 Problem #: What is the highest common factor of 340 and 136? Final Answer: 68 Problem #: What is the highest common divisor of 120 and 124560? Final Answer: 120 Problem #: Calculate the highest common factor of 2532 and 456. Final Answer: 12 Problem #: Calculate the highest common divisor of 540971 and 18056183. Final Answer: 10207 Problem #: Calculate the greatest common factor of 1463 and 77. Final Answer: 77 Problem #: What is the greatest common divisor of 3125
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probability: swr p level set ---------------------------- Math Q: What is prob of picking 1 o and 1 s when two letters picked without replacement from {o: 11, p: 1, k: 6, s: 1}? Eval: 11/171 Math Q: Calculate prob of picking 2 s when two letters picked without replacement from hvhskkhhrshhhvrsvk. Eval: 1/51 Math Q: Three letters picked without replacement from yyxyx. What is prob of picking 1 y and 2 x? Eval: 3/10 Math Q: Calculate prob of picking 2 q, 1 z, and 1 y when four letters picked without replacement from qzyyqyqqqqqhqdqdqqd. Eval: 55/1292 Math Q: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from fugfcvf. Eval: 1/7 Math Q: Calculate prob of picking 1 f, 1 c, and 1 z when three letters picked without replacement from ejzcfejeezzjfjez. Eval: 1/70 Math Q: Calculate prob of picking 1 y, 1 t, and 2 p when four letters picked without replacement from dddiipyppppddppdt. Eval: 3/340 Math Q: Calculate prob of picking 1 w, 1 o, and 1 v when three letters picked without replacement from {v: 1, x: 4, o: 4, w: 1}. Eval: 1/30 Math Q: What is prob of picking 1 x, 1 g, and 1 b when three letters picked without replacement from {t: 4, o: 1, g: 2, x: 1, b: 2, h: 4}? Eval: 1/91 Math Q: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {s: 2, c: 1, n: 2, v: 1, l: 1, a: 1}. Eval: 1/28 Math Q: Calculate prob of picking 2 k and 2 s when four letters picked without replacement from skkaaaskakkkkka. Eval: 4/195 Math Q: Three letters picked without replacement from {p: 1, b: 2, j: 1, t: 1, m: 1, k: 1}. Give prob of picking 1 t, 1 b, and 1 p. Eval: 2/35 Math Q: What is prob of picking 3 g when three letters picked without replacement from {g: 7}? Eval: 1 Math Q: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {r: 2, g: 1, k: 3, v: 1, q: 3}. Eval: 1/45 Math Q: Calculate prob of picking 2 c when two letters picked without replacement from ccccc. Eval: 1 Math Q: What is prob
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numbers: is prime ----------------- Request: Is 2826728351 a composite number? Answer: True Request: Is 237159679 prime? Answer: True Request: Is 6779706769 a prime number? Answer: False Request: Is 82127163683 a composite number? Answer: False Request: Is 24019 prime? Answer: True Request: Is 2621029 a prime number? Answer: False Request: Is 7822957607 prime? Answer: True Request: Is 315313 a composite number? Answer: False Request: Is 758370023 a prime number? Answer: True Request: Is 9772622263 composite? Answer: True Request: Is 15309569 composite? Answer: True Request: Is 79840568659 a prime number? Answer: False Request: Is 227893 prime? Answer: True Request: Is 830039101 prime? Answer: False Request: Is 4504391 a prime number? Answer: True Request: Is 1107511 prime? Answer: True Request: Is 132261 a prime number? Answer: False Request: Is 24119015 a prime number? Answer: False Request: Is 7621 a prime number? Answer: True Request: Is 28142129629 a composite number? Answer: False Request: Is 1069217 a prime number? Answer: True Request: Is 27495406397 composite? Answer: True Request: Is 3941212861 a prime number? Answer: False Request: Is 541 composite? Answer: False Request: Is 24344006 prime? Answer: False Request: Is 3309361 a prime number? Answer: False Request: Is 1561577 composite? Answer: False Request: Is 25316317277 composite? Answer: False Request: Is 1649353 composite? Answer: True Request: Is 15268077547 composite? Answer: True Request: Is 787 a prime number? Answer: True Request: Is 722537 a prime number? Answer: True Request: Is 41508201713 a prime number? Answer: False Request: Is 24935 prime? Answer: False Request: Is 1099 prime? Answer: False Request: Is 414007229 prime? Answer: False Request: Is 951868573 a composite number? Answer: True Request: Is 21657743 composite? Answer: True Request: Is 579427 prime? Answer: True Request: Is 1372477 composite? Answer: True Request: Is 718650883 a composite number? Answer: True Request: Is 1527717713 a
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arithmetic: nearest integer root -------------------------------- Q): What is 31867 to the power of 1/2, to the nearest integer? Gives: 179 Q): What is the third root of 22832195 to the nearest integer? Gives: 284 Q): What is the sixth root of 615 to the nearest integer? Gives: 3 Q): What is the cube root of 1205086 to the nearest integer? Gives: 106 Q): What is the cube root of 2312681515 to the nearest integer? Gives: 1322 Q): What is 2007364 to the power of 1/4, to the nearest integer? Gives: 38 Q): What is 7365261 to the power of 1/7, to the nearest integer? Gives: 10 Q): What is 264 to the power of 1/2, to the nearest integer? Gives: 16 Q): What is the sixth root of 229750625 to the nearest integer? Gives: 25 Q): What is the square root of 41321962 to the nearest integer? Gives: 6428 Q): What is 1223413503 to the power of 1/3, to the nearest integer? Gives: 1070 Q): What is 113570086 to the power of 1/7, to the nearest integer? Gives: 14 Q): What is the ninth root of 759 to the nearest integer? Gives: 2 Q): What is 16184167 to the power of 1/6, to the nearest integer? Gives: 16 Q): What is the cube root of 22774749 to the nearest integer? Gives: 283 Q): What is the cube root of 801961 to the nearest integer? Gives: 93 Q): What is 85298025 to the power of 1/2, to the nearest integer? Gives: 9236 Q): What is 1894942 to the power of 1/3, to the nearest integer? Gives: 124 Q): What is the eighth root of 2607946 to the nearest integer? Gives: 6 Q): What is the third root of 1103983746 to the nearest integer? Gives: 1034 Q): What is 77606 to the power of 1/8, to the nearest integer? Gives: 4 Q): What is 946267973 to the power of 1/3, to the nearest integer? Gives: 982 Q): What is the cube root of 42323 to the nearest integer? Gives: 35 Q): What is 2838948011 to the power of 1/2, to the nearest integer? Gives: 53282 Q): What is the sixth root of 30144022 to the nearest integer? Gives: 18 Q): What is the cube root of 3482621079 to the nearest integer? Gives: 1516 Q): W
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numbers: is prime ----------------- Exercise: Is 28673 a composite number? Thus: True Exercise: Is 10005041 composite? Thus: False Exercise: Is 6987359 a composite number? Thus: False Exercise: Is 1481 a prime number? Thus: True Exercise: Is 182983 a prime number? Thus: False Exercise: Is 12797 a prime number? Thus: False Exercise: Is 6059 a prime number? Thus: False Exercise: Is 233243785 a composite number? Thus: True Exercise: Is 30909407 prime? Thus: True Exercise: Is 2070337 prime? Thus: False Exercise: Is 56805252389 a composite number? Thus: False Exercise: Is 60226 a prime number? Thus: False Exercise: Is 825631397 composite? Thus: True Exercise: Is 62986430959 composite? Thus: False Exercise: Is 103819801 prime? Thus: True Exercise: Is 130769 prime? Thus: True Exercise: Is 95117 a prime number? Thus: False Exercise: Is 78739 composite? Thus: True Exercise: Is 490878457 prime? Thus: True Exercise: Is 379280207 a composite number? Thus: False Exercise: Is 41981849513 a prime number? Thus: False Exercise: Is 1318202 a composite number? Thus: True Exercise: Is 2393161 a composite number? Thus: False Exercise: Is 11549 a composite number? Thus: False Exercise: Is 195511 prime? Thus: True Exercise: Is 233773501 a composite number? Thus: True Exercise: Is 2941141 a composite number? Thus: True Exercise: Is 215950651 prime? Thus: False Exercise: Is 727607653 a composite number? Thus: False Exercise: Is 6863897 composite? Thus: False Exercise: Is 117697 prime? Thus: False Exercise: Is 260329 prime? Thus: True Exercise: Is 544894423 composite? Thus: True Exercise: Is 2390905303 composite? Thus: False Exercise: Is 5745347651 a prime number? Thus: True Exercise: Is 11982163 a prime number? Thus: True Exercise: Is 81281 prime? Thus: True Exercise: Is 179577781 prime? Thus: False Exercise: Is 5539 composite? Thus: True Exercise: Is 207305407 composite? Thus: True Exercise: Is 4805239 composite? Thus: True Exercise: Is 14051 prime? Thus: True Exercise: Is 1260269 a compos
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numbers: div remainder ---------------------- Input: What is the remainder when 14 is divided by 13? Fix: 1 Input: What is the remainder when 256436 is divided by 51003? Fix: 1421 Input: Calculate the remainder when 4780 is divided by 73. Fix: 35 Input: Calculate the remainder when 17205 is divided by 4296. Fix: 21 Input: What is the remainder when 14555714 is divided by 3? Fix: 2 Input: Calculate the remainder when 276929 is divided by 39551. Fix: 72 Input: What is the remainder when 205 is divided by 16? Fix: 13 Input: Calculate the remainder when 37019 is divided by 2037. Fix: 353 Input: Calculate the remainder when 516 is divided by 47. Fix: 46 Input: Calculate the remainder when 3599 is divided by 50. Fix: 49 Input: Calculate the remainder when 456255 is divided by 152036. Fix: 147 Input: What is the remainder when 3617 is divided by 140? Fix: 117 Input: Calculate the remainder when 2485 is divided by 104. Fix: 93 Input: What is the remainder when 540950 is divided by 83? Fix: 39 Input: Calculate the remainder when 4121529 is divided by 124890. Fix: 159 Input: What is the remainder when 14405077 is divided by 20? Fix: 17 Input: Calculate the remainder when 39077 is divided by 108. Fix: 89 Input: What is the remainder when 64 is divided by 22? Fix: 20 Input: Calculate the remainder when 129482 is divided by 32367. Fix: 14 Input: What is the remainder when 115 is divided by 96? Fix: 19 Input: Calculate the remainder when 2335 is divided by 761. Fix: 52 Input: Calculate the remainder when 41061 is divided by 12834. Fix: 2559 Input: What is the remainder when 3080596 is divided by 3189? Fix: 22 Input: Calculate the remainder when 2203 is divided by 4. Fix: 3 Input: What is the remainder when 204 is divided by 114? Fix: 90 Input: What is the remainder when 427 is divided by 87? Fix: 79 Input: Calculate the remainder when 152547 is divided by 4358. Fix: 17 Input: What is the remainder when 6284 is divided by 170? Fix: 164 Input: Calculate the remainder when 54548 is
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probability: swr p sequence --------------------------- Subquestion: Three letters picked without replacement from {q: 2, a: 1, c: 3, o: 4, y: 1, x: 1}. Give prob of sequence cac. Answer: 1/220 Subquestion: Two letters picked without replacement from nrrnnnrrnnssns. What is prob of sequence ns? Answer: 3/26 Subquestion: Calculate prob of sequence yx when two letters picked without replacement from {n: 1, y: 2, u: 1, i: 2, k: 2, x: 4}. Answer: 2/33 Subquestion: Two letters picked without replacement from {q: 3, u: 4, v: 1, l: 1, f: 5}. What is prob of sequence uf? Answer: 10/91 Subquestion: What is prob of sequence vvbv when four letters picked without replacement from bvlblbvvblb? Answer: 1/264 Subquestion: Three letters picked without replacement from nbbitnaq. What is prob of sequence nib? Answer: 1/84 Subquestion: Two letters picked without replacement from oddcnnennonnnnnweo. What is prob of sequence ce? Answer: 1/153 Subquestion: Calculate prob of sequence lld when three letters picked without replacement from {k: 1, d: 2, l: 2}. Answer: 1/15 Subquestion: Calculate prob of sequence yuk when three letters picked without replacement from {u: 5, k: 2, y: 5}. Answer: 5/132 Subquestion: What is prob of sequence imm when three letters picked without replacement from {m: 2, i: 6}? Answer: 1/28 Subquestion: Four letters picked without replacement from brrrrlbfrlrrblpflfr. What is prob of sequence pbbr? Answer: 1/1938 Subquestion: What is prob of sequence xhl when three letters picked without replacement from hgxhhxglhxxlghgl? Answer: 1/56 Subquestion: What is prob of sequence bb when two letters picked without replacement from bbbblbbbbblbbbblbbbl? Answer: 12/19 Subquestion: What is prob of sequence ydyd when four letters picked without replacement from yyyyyyyydyyyyydyyyy? Answer: 1/171 Subquestion: Two letters picked without replacement from leblleehelehlebee. What is prob of sequence lb? Answer: 5/136 Subquestion: Three letters picked without replacement from lppfh.
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probability: swr p level set ---------------------------- Given: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {q: 7, r: 2, c: 1}. Ans: 14/45 Given: Calculate prob of picking 1 t and 2 q when three letters picked without replacement from qqqqqtt. Ans: 4/7 Given: Calculate prob of picking 1 e and 3 s when four letters picked without replacement from {s: 8, e: 2}. Ans: 8/15 Given: What is prob of picking 2 r when two letters picked without replacement from nnwrwrwjwj? Ans: 1/45 Given: What is prob of picking 1 q and 1 o when two letters picked without replacement from vqkgokq? Ans: 2/21 Given: Two letters picked without replacement from jicicjjjccjc. What is prob of picking 1 j and 1 c? Ans: 25/66 Given: Two letters picked without replacement from nuuuuuuuuuubuunn. What is prob of picking 1 b and 1 n? Ans: 1/40 Given: What is prob of picking 4 f when four letters picked without replacement from ffjfffffifiiji? Ans: 10/143 Given: What is prob of picking 3 f and 1 y when four letters picked without replacement from fyyyffyyyy? Ans: 1/30 Given: Two letters picked without replacement from {i: 1, x: 4, c: 4, r: 1, z: 3}. Give prob of picking 2 c. Ans: 1/13 Given: Two letters picked without replacement from {r: 8, j: 2, a: 2, c: 1, g: 1, u: 1}. What is prob of picking 1 g and 1 r? Ans: 8/105 Given: Calculate prob of picking 2 o and 1 e when three letters picked without replacement from {o: 18, e: 2}. Ans: 51/190 Given: Calculate prob of picking 2 n and 1 r when three letters picked without replacement from trtntttrtrttrte. Ans: 0 Given: Calculate prob of picking 2 m when two letters picked without replacement from {m: 5}. Ans: 1 Given: Four letters picked without replacement from hhucbcuubu. What is prob of picking 1 u, 2 c, and 1 h? Ans: 4/105 Given: Three letters picked without replacement from {b: 5, p: 2, k: 2}. Give prob of picking 3 b. Ans: 5/42 Given: Two letters picked without replacement from uppuppppuoop. Give prob of picki
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numbers: is factor ------------------ Scenario: Is 96950 a multiple of 277? Response: True Scenario: Is 2047345 a multiple of 7? Response: False Scenario: Does 133 divide 2232923332? Response: False Scenario: Does 15 divide 14302300? Response: False Scenario: Does 193 divide 113379973? Response: True Scenario: Does 3 divide 285? Response: True Scenario: Is 446625 a multiple of 7? Response: False Scenario: Does 12 divide 73541? Response: False Scenario: Is 28 a factor of 4956? Response: True Scenario: Is 94 a factor of 82614344? Response: True Scenario: Does 22 divide 262475? Response: False Scenario: Is 13 a factor of 308568? Response: True Scenario: Is 18 a factor of 123995? Response: False Scenario: Does 17 divide 348857? Response: True Scenario: Is 240 a factor of 204000? Response: True Scenario: Does 144 divide 3618? Response: False Scenario: Is 29 a factor of 8713? Response: False Scenario: Is 124 a factor of 10073953? Response: False Scenario: Is 107897 a multiple of 78? Response: False Scenario: Is 10 a factor of 4354290? Response: True Scenario: Does 22 divide 62475644? Response: True Scenario: Is 571 a factor of 3536937? Response: False Scenario: Does 15 divide 255? Response: True Scenario: Is 13178 a multiple of 101? Response: False Scenario: Is 15 a factor of 753? Response: False Scenario: Does 10 divide 4185? Response: False Scenario: Does 11 divide 28974? Response: True Scenario: Is 29 a factor of 5839972634? Response: False Scenario: Is 4 a factor of 1772? Response: True Scenario: Does 8 divide 37736? Response: True Scenario: Does 123 divide 218352921? Response: True Scenario: Is 307711280 a multiple of 8630? Response: True Scenario: Is 846 a factor of 238629528? Response: True Scenario: Does 2 divide 13? Response: False Scenario: Is 85407 a multiple of 49? Response: True Scenario: Is 34 a factor of 782? Response: True Scenario: Does 2 divide 10549? Response: False Scenario: Does 7 divide 1498? Response: True Scenario: Does 4 divide 43870? Response: Fa
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probability: swr p sequence --------------------------- What if: Two letters picked without replacement from {p: 4, z: 7, g: 2, j: 5}. Give prob of sequence pz. Derivation: 14/153 What if: Three letters picked without replacement from {f: 4, x: 14}. Give prob of sequence fxf. Derivation: 7/204 What if: What is prob of sequence inn when three letters picked without replacement from {i: 1, n: 2, j: 1}? Derivation: 1/12 What if: Three letters picked without replacement from {y: 1, j: 3, s: 1, r: 1, q: 5, k: 2}. What is prob of sequence qyr? Derivation: 5/1716 What if: Three letters picked without replacement from {a: 4, b: 14}. What is prob of sequence aab? Derivation: 7/204 What if: What is prob of sequence rrk when three letters picked without replacement from rkzkrzzkkk? Derivation: 1/72 What if: Three letters picked without replacement from nuqtttjuuujzu. Give prob of sequence njq. Derivation: 1/858 What if: Calculate prob of sequence xx when two letters picked without replacement from ooxfxioxoowooixxoff. Derivation: 10/171 What if: Three letters picked without replacement from rzririirrrzrir. What is prob of sequence irz? Derivation: 8/273 What if: Four letters picked without replacement from tyjetnneen. What is prob of sequence ynne? Derivation: 1/280 What if: Calculate prob of sequence zaz when three letters picked without replacement from {z: 4, a: 8, x: 4}. Derivation: 1/35 What if: Calculate prob of sequence faf when three letters picked without replacement from {a: 5, f: 3, y: 8}. Derivation: 1/112 What if: Calculate prob of sequence juj when three letters picked without replacement from {u: 4, j: 2}. Derivation: 1/15 What if: Three letters picked without replacement from {j: 3, y: 2, v: 3, x: 7}. Give prob of sequence xyy. Derivation: 1/195 What if: Three letters picked without replacement from {t: 11, l: 9}. What is prob of sequence lll? Derivation: 7/95 What if: Four letters picked without replacement from {n: 4, q: 2, l: 1, i: 6}. Give prob of sequence
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numbers: is prime ----------------- Subquestion: Is 3595 prime? Output: False Subquestion: Is 74837 a prime number? Output: False Subquestion: Is 65 a composite number? Output: True Subquestion: Is 8888111 a prime number? Output: False Subquestion: Is 2235997 composite? Output: False Subquestion: Is 1492658 a prime number? Output: False Subquestion: Is 19841 composite? Output: False Subquestion: Is 61562687 prime? Output: True Subquestion: Is 1168482751 a prime number? Output: True Subquestion: Is 197766253 composite? Output: True Subquestion: Is 1509138223 prime? Output: True Subquestion: Is 928807 composite? Output: True Subquestion: Is 939353 composite? Output: True Subquestion: Is 72741391 prime? Output: False Subquestion: Is 5084803 prime? Output: True Subquestion: Is 103022770267 prime? Output: True Subquestion: Is 2375587 a prime number? Output: False Subquestion: Is 22971095447 composite? Output: True Subquestion: Is 410073101 a composite number? Output: True Subquestion: Is 878467 prime? Output: True Subquestion: Is 2679587 prime? Output: True Subquestion: Is 25743 a composite number? Output: True Subquestion: Is 503423 composite? Output: False Subquestion: Is 1016509829 a composite number? Output: True Subquestion: Is 20720153 a prime number? Output: True Subquestion: Is 249745049 a composite number? Output: True Subquestion: Is 78894647 prime? Output: False Subquestion: Is 4866443 a composite number? Output: False Subquestion: Is 7195 a prime number? Output: False Subquestion: Is 218683 a composite number? Output: True Subquestion: Is 945146 a composite number? Output: True Subquestion: Is 20337 a composite number? Output: True Subquestion: Is 989700329 a prime number? Output: False Subquestion: Is 1466406863 a composite number? Output: False Subquestion: Is 514327 a prime number? Output: False Subquestion: Is 376321 a composite number? Output: True Subquestion: Is 572569 a composite number? Output: True Subquestion: Is 33365 a prime number? Output: False
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probability: swr p level set ---------------------------- Topic: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {g: 2, f: 2, x: 4, k: 3, w: 1, d: 8}. →: 2/95 Topic: Three letters picked without replacement from {z: 2, s: 1, r: 1, g: 3, i: 1, a: 3}. What is prob of picking 1 g, 1 i, and 1 z? →: 2/55 Topic: Four letters picked without replacement from {w: 6, n: 3, c: 5, g: 3}. Give prob of picking 1 g, 2 n, and 1 c. →: 9/476 Topic: Two letters picked without replacement from smmmmmsmsm. Give prob of picking 2 m. →: 7/15 Topic: Two letters picked without replacement from {f: 1, k: 4, w: 5, o: 1}. What is prob of picking 1 f and 1 k? →: 4/55 Topic: What is prob of picking 1 f and 2 x when three letters picked without replacement from {e: 6, f: 1, r: 2, g: 2, x: 3}? →: 3/364 Topic: What is prob of picking 1 p, 1 e, and 1 m when three letters picked without replacement from mmcepe? →: 1/5 Topic: Calculate prob of picking 1 d and 2 c when three letters picked without replacement from dodddoddccddd. →: 9/286 Topic: What is prob of picking 3 z and 1 x when four letters picked without replacement from xzzyzxx? →: 3/35 Topic: What is prob of picking 2 y when two letters picked without replacement from {y: 7, s: 7}? →: 3/13 Topic: Two letters picked without replacement from {w: 3, d: 4, p: 1, t: 5}. What is prob of picking 1 d and 1 p? →: 2/39 Topic: What is prob of picking 2 f when two letters picked without replacement from ufuf? →: 1/6 Topic: Two letters picked without replacement from vvvslasv. Give prob of picking 1 l and 1 v. →: 1/7 Topic: Two letters picked without replacement from {d: 3, q: 1, w: 2, t: 2, b: 4, e: 3}. What is prob of picking 1 q and 1 w? →: 2/105 Topic: Four letters picked without replacement from {o: 2, i: 4, f: 1, g: 4, j: 1, z: 2}. What is prob of picking 2 i, 1 g, and 1 o? →: 48/1001 Topic: Four letters picked without replacement from yyyqyyqqcyqqyqqyqyqy. What is prob of picking 3 y and 1 q? →: 72/323 Topic:
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numbers: gcd ------------ Given: Calculate the greatest common divisor of 72 and 30897. Response: 9 Given: What is the highest common factor of 312 and 72? Response: 24 Given: Calculate the highest common divisor of 15960 and 1862. Response: 266 Given: Calculate the highest common factor of 363 and 33. Response: 33 Given: Calculate the greatest common factor of 100 and 2980. Response: 20 Given: Calculate the highest common factor of 1540613 and 47. Response: 47 Given: What is the highest common factor of 335410 and 255? Response: 85 Given: Calculate the highest common divisor of 812 and 29. Response: 29 Given: Calculate the greatest common divisor of 1382232 and 192. Response: 24 Given: What is the highest common divisor of 6778104 and 35022? Response: 2694 Given: What is the highest common factor of 196 and 15533? Response: 49 Given: Calculate the greatest common factor of 60 and 1037980. Response: 20 Given: Calculate the highest common divisor of 23920964 and 54972. Response: 2036 Given: What is the highest common factor of 3656 and 56? Response: 8 Given: Calculate the highest common factor of 7452 and 1917027. Response: 1863 Given: What is the greatest common factor of 4772 and 7? Response: 1 Given: What is the highest common divisor of 4480 and 105? Response: 35 Given: Calculate the greatest common factor of 88 and 796. Response: 4 Given: Calculate the highest common factor of 197186 and 6600. Response: 22 Given: What is the greatest common divisor of 3411 and 3330652? Response: 379 Given: Calculate the greatest common divisor of 2634726 and 10716. Response: 282 Given: Calculate the greatest common factor of 30674 and 30062711. Response: 2191 Given: Calculate the highest common factor of 2114 and 233144. Response: 302 Given: Calculate the highest common factor of 10880 and 2992. Response: 272 Given: What is the highest common divisor of 14274 and 342? Response: 18 Given: Calculate the highest common divisor of 113948388 and 108. Response: 36 Given: Calculate the
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numbers: is factor ------------------ Statement: Is 3981 a multiple of 22? Thus: False Statement: Is 51743021 a multiple of 226? Thus: False Statement: Is 105742 a multiple of 26? Thus: True Statement: Is 16 a factor of 99280? Thus: True Statement: Is 118 a factor of 15228372? Thus: True Statement: Does 6 divide 622? Thus: False Statement: Does 7 divide 1978? Thus: False Statement: Does 45 divide 23135960? Thus: False Statement: Is 18467861 a multiple of 158? Thus: False Statement: Does 101 divide 277245? Thus: True Statement: Does 44 divide 15781876? Thus: True Statement: Is 36 a factor of 11500424? Thus: False Statement: Does 237 divide 19433753? Thus: False Statement: Does 37 divide 3663? Thus: True Statement: Does 5306 divide 699730835? Thus: False Statement: Is 7 a factor of 42497? Thus: True Statement: Is 368 a factor of 90955? Thus: False Statement: Does 157 divide 374602? Thus: True Statement: Is 10 a factor of 121570? Thus: True Statement: Is 442250069 a multiple of 172? Thus: False Statement: Is 1298712 a multiple of 603? Thus: False Statement: Is 120 a multiple of 16? Thus: False Statement: Is 49 a factor of 2156? Thus: True Statement: Is 4568 a multiple of 24? Thus: False Statement: Does 25 divide 14664? Thus: False Statement: Does 6 divide 452279? Thus: False Statement: Is 13968 a multiple of 194? Thus: True Statement: Is 4 a factor of 98272? Thus: True Statement: Is 36856 a multiple of 88? Thus: False Statement: Is 1652417 a multiple of 221? Thus: True Statement: Is 43 a factor of 1290? Thus: True Statement: Is 36 a factor of 108? Thus: True Statement: Does 4 divide 2495022? Thus: False Statement: Is 3193608649 a multiple of 9247? Thus: True Statement: Does 12 divide 27261336? Thus: True Statement: Is 267164625 a multiple of 4875? Thus: True Statement: Is 24904 a multiple of 15? Thus: False Statement: Does 36 divide 14343714? Thus: False Statement: Is 109 a factor of 4679? Thus: False Statement: Is 33024 a multiple of 64? Thus: True Statement: Does 60
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numbers: div remainder ---------------------- Exercise: What is the remainder when 972651 is divided by 580? Output: 571 Exercise: What is the remainder when 1900694 is divided by 106? Output: 8 Exercise: What is the remainder when 325225 is divided by 472? Output: 17 Exercise: What is the remainder when 84 is divided by 21? Output: 0 Exercise: Calculate the remainder when 1589662 is divided by 643. Output: 166 Exercise: Calculate the remainder when 1419 is divided by 79. Output: 76 Exercise: Calculate the remainder when 836 is divided by 93. Output: 92 Exercise: What is the remainder when 318484 is divided by 6635? Output: 4 Exercise: What is the remainder when 54 is divided by 23? Output: 8 Exercise: Calculate the remainder when 311 is divided by 94. Output: 29 Exercise: Calculate the remainder when 370190 is divided by 5352. Output: 902 Exercise: What is the remainder when 270071 is divided by 38404? Output: 1243 Exercise: What is the remainder when 392 is divided by 50? Output: 42 Exercise: Calculate the remainder when 146574 is divided by 29312. Output: 14 Exercise: Calculate the remainder when 15643 is divided by 37. Output: 29 Exercise: Calculate the remainder when 515 is divided by 320. Output: 195 Exercise: What is the remainder when 66157 is divided by 2646? Output: 7 Exercise: What is the remainder when 13505 is divided by 1915? Output: 100 Exercise: Calculate the remainder when 1993 is divided by 10. Output: 3 Exercise: What is the remainder when 10873643 is divided by 233? Output: 232 Exercise: What is the remainder when 5428168 is divided by 3079? Output: 2970 Exercise: Calculate the remainder when 758 is divided by 373. Output: 12 Exercise: What is the remainder when 1341883 is divided by 1856? Output: 1851 Exercise: What is the remainder when 1797997 is divided by 31? Output: 28 Exercise: Calculate the remainder when 44397 is divided by 370. Output: 367 Exercise: What is the remainder when 15 is divided by 5? Output: 0 Exercise: Calculate the remaind
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arithmetic: nearest integer root -------------------------------- Question: What is the seventh root of 16552 to the nearest integer? Eval: 4 Question: What is 557120277 to the power of 1/6, to the nearest integer? Eval: 29 Question: What is the cube root of 1428429 to the nearest integer? Eval: 113 Question: What is the cube root of 25616 to the nearest integer? Eval: 29 Question: What is the square root of 17063371 to the nearest integer? Eval: 4131 Question: What is the square root of 672482 to the nearest integer? Eval: 820 Question: What is 61467860 to the power of 1/2, to the nearest integer? Eval: 7840 Question: What is the tenth root of 3897 to the nearest integer? Eval: 2 Question: What is the third root of 156070 to the nearest integer? Eval: 54 Question: What is the cube root of 4012496 to the nearest integer? Eval: 159 Question: What is 276911385 to the power of 1/3, to the nearest integer? Eval: 652 Question: What is the fourth root of 3080 to the nearest integer? Eval: 7 Question: What is 208201 to the power of 1/10, to the nearest integer? Eval: 3 Question: What is the eighth root of 198420491 to the nearest integer? Eval: 11 Question: What is the square root of 6655508 to the nearest integer? Eval: 2580 Question: What is 1923504835 to the power of 1/2, to the nearest integer? Eval: 43858 Question: What is 9813707 to the power of 1/10, to the nearest integer? Eval: 5 Question: What is the tenth root of 18222830 to the nearest integer? Eval: 5 Question: What is the third root of 813 to the nearest integer? Eval: 9 Question: What is 45198 to the power of 1/3, to the nearest integer? Eval: 36 Question: What is the cube root of 7451 to the nearest integer? Eval: 20 Question: What is the third root of 884 to the nearest integer? Eval: 10 Question: What is the tenth root of 1344775099 to the nearest integer? Eval: 8 Question: What is the square root of 7830 to the nearest integer? Eval: 88 Question: What is the fourth root of 281022 to the nearest integer?
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numbers: div remainder ---------------------- Inquiry: Calculate the remainder when 1316 is divided by 166. Output: 154 Inquiry: What is the remainder when 302595 is divided by 148? Output: 83 Inquiry: What is the remainder when 2693 is divided by 888? Output: 29 Inquiry: Calculate the remainder when 922894 is divided by 461198. Output: 498 Inquiry: Calculate the remainder when 42 is divided by 27. Output: 15 Inquiry: Calculate the remainder when 10702 is divided by 119. Output: 111 Inquiry: What is the remainder when 3968 is divided by 248? Output: 0 Inquiry: What is the remainder when 296 is divided by 194? Output: 102 Inquiry: What is the remainder when 1330200 is divided by 443309? Output: 273 Inquiry: What is the remainder when 377549 is divided by 100? Output: 49 Inquiry: Calculate the remainder when 472 is divided by 155. Output: 7 Inquiry: Calculate the remainder when 86541 is divided by 326. Output: 151 Inquiry: What is the remainder when 7344 is divided by 167? Output: 163 Inquiry: What is the remainder when 77680 is divided by 107? Output: 105 Inquiry: What is the remainder when 1538521 is divided by 52? Output: 49 Inquiry: What is the remainder when 2122 is divided by 6? Output: 4 Inquiry: What is the remainder when 807842 is divided by 5? Output: 2 Inquiry: What is the remainder when 704 is divided by 23? Output: 14 Inquiry: What is the remainder when 2755343 is divided by 4894? Output: 21 Inquiry: What is the remainder when 39801 is divided by 147? Output: 111 Inquiry: What is the remainder when 64 is divided by 21? Output: 1 Inquiry: What is the remainder when 58277 is divided by 14560? Output: 37 Inquiry: Calculate the remainder when 1085 is divided by 11. Output: 7 Inquiry: Calculate the remainder when 174842 is divided by 226. Output: 144 Inquiry: What is the remainder when 18645 is divided by 921? Output: 225 Inquiry: What is the remainder when 10752071 is divided by 5375896? Output: 279 Inquiry: What is the remainder when 354 is divided by 6? Out
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numbers: is prime ----------------- Example: Is 102119 composite? Final Answer: True Example: Is 1102001 a prime number? Final Answer: True Example: Is 2098771163 prime? Final Answer: True Example: Is 74181257 composite? Final Answer: False Example: Is 26497745 prime? Final Answer: False Example: Is 178056299 prime? Final Answer: True Example: Is 91120013 a prime number? Final Answer: False Example: Is 5900033 a composite number? Final Answer: True Example: Is 513888367 a prime number? Final Answer: False Example: Is 6803 prime? Final Answer: True Example: Is 173287871 prime? Final Answer: False Example: Is 331 a prime number? Final Answer: True Example: Is 28977426971 composite? Final Answer: True Example: Is 29562263 a composite number? Final Answer: False Example: Is 45062 prime? Final Answer: False Example: Is 167893 prime? Final Answer: False Example: Is 539148756091 composite? Final Answer: True Example: Is 2360325659 a prime number? Final Answer: True Example: Is 689053499 a prime number? Final Answer: False Example: Is 67533439 a prime number? Final Answer: True Example: Is 72763 prime? Final Answer: True Example: Is 30316991 composite? Final Answer: False Example: Is 20721983 a prime number? Final Answer: True Example: Is 40174117 composite? Final Answer: False Example: Is 25391 composite? Final Answer: False Example: Is 831937538 a prime number? Final Answer: False Example: Is 856750540837 composite? Final Answer: False Example: Is 21331 a prime number? Final Answer: False Example: Is 1699265807 composite? Final Answer: True Example: Is 3593 a composite number? Final Answer: False Example: Is 4181219527 a prime number? Final Answer: False Example: Is 8641 a composite number? Final Answer: False Example: Is 1967 a prime number? Final Answer: False Example: Is 582203 composite? Final Answer: False Example: Is 5662243 a composite number? Final Answer: True Example: Is 38456360519 composite? Final Answer: True Example: Is 127832899 a composite number? Final An
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measurement: conversion ----------------------- Subquestion: How many millilitres are there in twenty-five quarters of a litre? Final Answer: 6250 Subquestion: What is 57.33041km in micrometers? Final Answer: 57330410000 Subquestion: What is 37/2 of a litre in millilitres? Final Answer: 18500 Subquestion: How many milligrams are there in thirty-one fifths of a gram? Final Answer: 6200 Subquestion: What is thirty-four fifths of a milligram in micrograms? Final Answer: 6800 Subquestion: How many centimeters are there in fifteen quarters of a meter? Final Answer: 375 Subquestion: What is one fifth of a meter in millimeters? Final Answer: 200 Subquestion: How many seconds are there in 3/25 of a week? Final Answer: 72576 Subquestion: How many hours are there in five quarters of a day? Final Answer: 30 Subquestion: How many months are there in five quarters of a millennium? Final Answer: 15000 Subquestion: How many millilitres are there in 0.5814906 litres? Final Answer: 581.4906 Subquestion: What is 4.864963l in millilitres? Final Answer: 4864.963 Subquestion: How many seconds are there in 1/4 of a hour? Final Answer: 900 Subquestion: How many hours are there in 21/2 of a week? Final Answer: 1764 Subquestion: What is 535172.9 tonnes in milligrams? Final Answer: 535172900000000 Subquestion: How many tonnes are there in 70320.89ng? Final Answer: 0.00000000007032089 Subquestion: How many millilitres are there in three tenths of a litre? Final Answer: 300 Subquestion: What is 7/4 of a litre in millilitres? Final Answer: 1750 Subquestion: What is 9.371292 weeks in days? Final Answer: 65.599044 Subquestion: How many kilometers are there in 91.45787 centimeters? Final Answer: 0.0009145787 Subquestion: How many centuries are there in 8.2054 decades? Final Answer: 0.82054 Subquestion: What is fourty-two fifths of a decade in months? Final Answer: 1008 Subquestion: How many kilograms are there in thirty-one fifths of a tonne? Final Answer: 6200 Subquestion: How many litres are the
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numbers: gcd ------------ Conundrum: Calculate the greatest common divisor of 149104 and 288. Key: 16 Conundrum: What is the greatest common factor of 2238564 and 89991? Key: 303 Conundrum: Calculate the greatest common factor of 9 and 177432. Key: 3 Conundrum: Calculate the highest common factor of 22 and 410960. Key: 22 Conundrum: Calculate the greatest common factor of 1801120 and 40. Key: 40 Conundrum: What is the greatest common divisor of 2553390 and 2160? Key: 270 Conundrum: What is the highest common factor of 2288 and 7442864? Key: 2288 Conundrum: Calculate the highest common factor of 4915 and 360. Key: 5 Conundrum: Calculate the greatest common factor of 168 and 51128. Key: 56 Conundrum: Calculate the greatest common divisor of 4416 and 264. Key: 24 Conundrum: What is the greatest common factor of 5 and 1645537? Key: 1 Conundrum: What is the greatest common divisor of 368 and 253? Key: 23 Conundrum: What is the greatest common factor of 5486844 and 136521? Key: 6501 Conundrum: What is the greatest common divisor of 37195 and 129? Key: 43 Conundrum: Calculate the highest common factor of 6773825 and 1375. Key: 25 Conundrum: What is the greatest common divisor of 2107633 and 4147? Key: 319 Conundrum: What is the highest common divisor of 32 and 480? Key: 32 Conundrum: What is the highest common factor of 210 and 60? Key: 30 Conundrum: What is the highest common divisor of 425973 and 2136? Key: 3 Conundrum: Calculate the greatest common factor of 162824002 and 33. Key: 11 Conundrum: Calculate the greatest common factor of 297 and 39564. Key: 9 Conundrum: Calculate the highest common factor of 12 and 402. Key: 6 Conundrum: What is the highest common factor of 136 and 1972949518? Key: 34 Conundrum: Calculate the highest common divisor of 15 and 600. Key: 15 Conundrum: Calculate the greatest common divisor of 735 and 105. Key: 105 Conundrum: Calculate the highest common divisor of 3295 and 952914. Key: 659 Conundrum: What is the greatest common factor of 13 and
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measurement: time ----------------- Problem: How many minutes are there between 3:22 PM and 10:01 PM? Sol: 399 Problem: What is 115 minutes after 12:49 PM? Sol: 2:44 PM Problem: What is 195 minutes after 4:11 PM? Sol: 7:26 PM Problem: How many minutes are there between 4:00 PM and 3:31 AM? Sol: 691 Problem: What is 670 minutes before 8:35 PM? Sol: 9:25 AM Problem: What is 171 minutes after 12:33 PM? Sol: 3:24 PM Problem: How many minutes are there between 2:59 AM and 1:26 PM? Sol: 627 Problem: How many minutes are there between 12:54 PM and 12:38 AM? Sol: 704 Problem: What is 570 minutes after 10:46 PM? Sol: 8:16 AM Problem: How many minutes are there between 10:11 AM and 9:54 PM? Sol: 703 Problem: What is 456 minutes before 7:29 AM? Sol: 11:53 PM Problem: How many minutes are there between 7:10 AM and 6:56 PM? Sol: 706 Problem: What is 59 minutes before 6:26 PM? Sol: 5:27 PM Problem: How many minutes are there between 1:09 PM and 11:40 PM? Sol: 631 Problem: What is 612 minutes before 9:29 PM? Sol: 11:17 AM Problem: How many minutes are there between 1:58 AM and 4:08 AM? Sol: 130 Problem: How many minutes are there between 2:19 AM and 8:32 AM? Sol: 373 Problem: How many minutes are there between 11:58 AM and 11:46 PM? Sol: 708 Problem: How many minutes are there between 11:43 AM and 12:21 PM? Sol: 38 Problem: What is 609 minutes before 8:35 AM? Sol: 10:26 PM Problem: How many minutes are there between 1:49 AM and 1:53 AM? Sol: 4 Problem: How many minutes are there between 9:28 PM and 10:57 PM? Sol: 89 Problem: What is 662 minutes after 5:39 AM? Sol: 4:41 PM Problem: What is 634 minutes before 3:42 PM? Sol: 5:08 AM Problem: How many minutes are there between 6:57 AM and 3:56 PM? Sol: 539 Problem: How many minutes are there between 9:01 AM and 6:29 PM? Sol: 568 Problem: How many minutes are there between 11:14 PM and 1:54 AM? Sol: 160 Problem: What is 708 minutes after 11:22 PM? Sol: 11:10 AM Problem: How many minutes are there between 1:18 AM and 5:57 AM? Sol: 279 Pr
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numbers: is prime ----------------- Input: Is 496366771 prime? Response: True Input: Is 485749 a composite number? Response: True Input: Is 171453319 a prime number? Response: False Input: Is 15227 a prime number? Response: True Input: Is 517 a prime number? Response: False Input: Is 29683 a composite number? Response: False Input: Is 6412261 a prime number? Response: True Input: Is 1371 composite? Response: True Input: Is 60679 a composite number? Response: False Input: Is 1217070259 composite? Response: False Input: Is 11319551 composite? Response: False Input: Is 49573 a prime number? Response: False Input: Is 52573 a composite number? Response: True Input: Is 12239076749 a composite number? Response: True Input: Is 1220771 composite? Response: True Input: Is 855857 a prime number? Response: True Input: Is 96528728939 a composite number? Response: True Input: Is 16613651 composite? Response: True Input: Is 4593613 a prime number? Response: False Input: Is 3571 prime? Response: True Input: Is 62547 a prime number? Response: False Input: Is 121721 a prime number? Response: True Input: Is 45498709 a prime number? Response: False Input: Is 278756221 a prime number? Response: True Input: Is 15803339 prime? Response: False Input: Is 6838319 a prime number? Response: False Input: Is 3015229 a composite number? Response: True Input: Is 1708799 prime? Response: True Input: Is 132524321 prime? Response: False Input: Is 505897429 a prime number? Response: True Input: Is 95605 prime? Response: False Input: Is 4525663 a composite number? Response: False Input: Is 152765237 prime? Response: False Input: Is 246359 composite? Response: True Input: Is 128311 prime? Response: True Input: Is 198221 a prime number? Response: True Input: Is 9396216911 composite? Response: False Input: Is 9197 a prime number? Response: False Input: Is 39521 a prime number? Response: True Input: Is 53479 a prime number? Response: True Input: Is 549839530145 composite? Response: True Input: Is 403080937
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numbers: place value -------------------- Q=: What is the millions digit of 38698118? Gives: 8 Q=: What is the hundreds digit of 316893? Gives: 8 Q=: What is the millions digit of 28302020? Gives: 8 Q=: What is the thousands digit of 5064? Gives: 5 Q=: What is the thousands digit of 20186? Gives: 0 Q=: What is the ten millions digit of 3401991691? Gives: 0 Q=: What is the ten thousands digit of 802467? Gives: 0 Q=: What is the hundred millions digit of 860318150? Gives: 8 Q=: What is the hundred thousands digit of 3879509? Gives: 8 Q=: What is the hundreds digit of 1574? Gives: 5 Q=: What is the tens digit of 1947890? Gives: 9 Q=: What is the thousands digit of 7321331? Gives: 1 Q=: What is the units digit of 30148? Gives: 8 Q=: What is the hundreds digit of 104422? Gives: 4 Q=: What is the hundreds digit of 629769? Gives: 7 Q=: What is the thousands digit of 2138629? Gives: 8 Q=: What is the hundreds digit of 4359? Gives: 3 Q=: What is the thousands digit of 1642? Gives: 1 Q=: What is the tens digit of 1262? Gives: 6 Q=: What is the tens digit of 48522616? Gives: 1 Q=: What is the tens digit of 8577? Gives: 7 Q=: What is the tens digit of 316? Gives: 1 Q=: What is the hundreds digit of 35098? Gives: 0 Q=: What is the hundreds digit of 6600? Gives: 6 Q=: What is the units digit of 23131? Gives: 1 Q=: What is the hundred millions digit of 208798158? Gives: 2 Q=: What is the ten thousands digit of 201409322? Gives: 0 Q=: What is the hundred thousands digit of 395413538? Gives: 4 Q=: What is the units digit of 149? Gives: 9 Q=: What is the ten millions digit of 81314119? Gives: 8 Q=: What is the hundreds digit of 216062? Gives: 0 Q=: What is the hundreds digit of 1755? Gives: 7 Q=: What is the hundreds digit of 103769905? Gives: 9 Q=: What is the hundreds digit of 582180? Gives: 1 Q=: What is the hundreds digit of 366785? Gives: 7 Q=: What is the ten thousands digit of 113414? Gives: 1 Q=: What is the units digit of 64654? Gives: 4 Q=: What is the hundred thousands dig
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numbers: lcm ------------ Math Problem: Calculate the lowest common multiple of 12 and 60. Fix: 60 Math Problem: Find the common denominator of 151/3024 and -105/46. Fix: 69552 Math Problem: What is the common denominator of 23/412 and -40/103? Fix: 412 Math Problem: Calculate the common denominator of 25/7 and 7/444. Fix: 3108 Math Problem: What is the least common multiple of 195960 and 293940? Fix: 587880 Math Problem: Calculate the smallest common multiple of 22 and 26. Fix: 286 Math Problem: Calculate the least common multiple of 14 and 213. Fix: 2982 Math Problem: What is the least common multiple of 1696 and 3371012? Fix: 26968096 Math Problem: What is the least common multiple of 102 and 9? Fix: 306 Math Problem: Calculate the smallest common multiple of 3062 and 72. Fix: 110232 Math Problem: What is the smallest common multiple of 209840 and 1720? Fix: 209840 Math Problem: Calculate the smallest common multiple of 10 and 38791. Fix: 387910 Math Problem: Calculate the common denominator of 47/1981014 and -47/13536929. Fix: 81221574 Math Problem: What is the common denominator of 23/2004 and -83/8350? Fix: 50100 Math Problem: Calculate the smallest common multiple of 18 and 11610. Fix: 11610 Math Problem: Find the common denominator of 57/16 and 63/92816438. Fix: 742531504 Math Problem: Find the common denominator of -17/21516 and 83/326. Fix: 21516 Math Problem: What is the smallest common multiple of 2250 and 90? Fix: 2250 Math Problem: What is the common denominator of 17/581 and 32/19837? Fix: 138859 Math Problem: What is the lowest common multiple of 665 and 45? Fix: 5985 Math Problem: What is the common denominator of 43/110 and 69/70? Fix: 770 Math Problem: Calculate the lowest common multiple of 612 and 3240. Fix: 55080 Math Problem: What is the least common multiple of 54 and 183? Fix: 3294 Math Problem: Find the common denominator of 13/3530 and -43/11. Fix: 38830 Math Problem: What is the lowest common multiple of 9 and 292? Fix: 2628 Math Problem:
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numbers: div remainder ---------------------- Problem #: What is the remainder when 46080 is divided by 341? Answer: 45 Problem #: What is the remainder when 14751 is divided by 369? Answer: 360 Problem #: What is the remainder when 230 is divided by 62? Answer: 44 Problem #: Calculate the remainder when 2065 is divided by 963. Answer: 139 Problem #: Calculate the remainder when 164045 is divided by 21. Answer: 14 Problem #: What is the remainder when 13087 is divided by 410? Answer: 377 Problem #: Calculate the remainder when 86337 is divided by 3546. Answer: 1233 Problem #: Calculate the remainder when 7264 is divided by 693. Answer: 334 Problem #: Calculate the remainder when 777 is divided by 98. Answer: 91 Problem #: Calculate the remainder when 12398 is divided by 50. Answer: 48 Problem #: What is the remainder when 4592923 is divided by 3698? Answer: 7 Problem #: What is the remainder when 344035 is divided by 32? Answer: 3 Problem #: Calculate the remainder when 1976 is divided by 252. Answer: 212 Problem #: Calculate the remainder when 113 is divided by 107. Answer: 6 Problem #: Calculate the remainder when 196 is divided by 106. Answer: 90 Problem #: Calculate the remainder when 112287773 is divided by 56143886. Answer: 1 Problem #: What is the remainder when 216 is divided by 64? Answer: 24 Problem #: What is the remainder when 4062 is divided by 2013? Answer: 36 Problem #: Calculate the remainder when 66 is divided by 5. Answer: 1 Problem #: What is the remainder when 1608 is divided by 320? Answer: 8 Problem #: What is the remainder when 422183639 is divided by 4? Answer: 3 Problem #: What is the remainder when 12863 is divided by 4364? Answer: 4135 Problem #: Calculate the remainder when 108462641 is divided by 7816. Answer: 9 Problem #: What is the remainder when 419778 is divided by 2185? Answer: 258 Problem #: Calculate the remainder when 103 is divided by 9. Answer: 4 Problem #: Calculate the remainder when 136192 is divided by 45379. Answer: 55 Pr
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measurement: conversion ----------------------- Situation: How many millimeters are there in 971.4162 nanometers? Sol: 0.0009714162 Situation: Convert 1916281.8ns to days. Sol: 0.0000000221791875 Situation: What is 3.846355 years in millennia? Sol: 0.003846355 Situation: What is 3/5 of a meter in millimeters? Sol: 600 Situation: How many microseconds are there in 25/4 of a millisecond? Sol: 6250 Situation: How many kilograms are there in 5624.305 tonnes? Sol: 5624305 Situation: How many meters are there in 70853.9 micrometers? Sol: 0.0708539 Situation: How many centimeters are there in 86.9249km? Sol: 8692490 Situation: How many litres are there in 13849.99ml? Sol: 13.84999 Situation: What is seven eighths of a litre in millilitres? Sol: 875 Situation: What is 3465.719 weeks in milliseconds? Sol: 2096066851200 Situation: Convert 8.776523g to milligrams. Sol: 8776.523 Situation: What is 38.10779 tonnes in milligrams? Sol: 38107790000 Situation: What is 55/2 of a litre in millilitres? Sol: 27500 Situation: Convert 87120.34 litres to millilitres. Sol: 87120340 Situation: What is one eighteenth of a day in minutes? Sol: 80 Situation: How many microseconds are there in 2.330795 minutes? Sol: 139847700 Situation: How many grams are there in 43.94384 tonnes? Sol: 43943840 Situation: What is 110.1859 millimeters in kilometers? Sol: 0.0001101859 Situation: What is 1/5 of a millennium in centuries? Sol: 2 Situation: How many meters are there in 29/2 of a kilometer? Sol: 14500 Situation: How many millilitres are there in thirteen fifths of a litre? Sol: 2600 Situation: What is 42/5 of a litre in millilitres? Sol: 8400 Situation: How many nanograms are there in 125.2355g? Sol: 125235500000 Situation: What is 11/10 of a centimeter in micrometers? Sol: 11000 Situation: Convert 515.9704 litres to millilitres. Sol: 515970.4 Situation: Convert 2.290652l to millilitres. Sol: 2290.652 Situation: What is 4.21856 decades in centuries? Sol: 0.421856 Situation: How many millilitres are th
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measurement: conversion ----------------------- Exercise: Convert 365.0727nm to millimeters. Reply: 0.0003650727 Exercise: What is 0.542216 millilitres in litres? Reply: 0.000542216 Exercise: Convert 2556.229 millilitres to litres. Reply: 2.556229 Exercise: How many litres are there in 0.0899434 millilitres? Reply: 0.0000899434 Exercise: What is one fifth of a millimeter in micrometers? Reply: 200 Exercise: What is seven halves of a kilogram in grams? Reply: 3500 Exercise: What is 4.616094 minutes in milliseconds? Reply: 276965.64 Exercise: How many centimeters are there in 119385.3 meters? Reply: 11938530 Exercise: What is 3155.504 micrometers in millimeters? Reply: 3.155504 Exercise: What is 5/8 of a gram in milligrams? Reply: 625 Exercise: How many milligrams are there in twenty-seven fifths of a gram? Reply: 5400 Exercise: What is 2449.485 decades in months? Reply: 293938.2 Exercise: How many decades are there in 3/10 of a century? Reply: 3 Exercise: Convert 0.838488 grams to nanograms. Reply: 838488000 Exercise: Convert 757.122 kilometers to millimeters. Reply: 757122000 Exercise: Convert 61724.96kg to milligrams. Reply: 61724960000 Exercise: What is 0.9419801l in millilitres? Reply: 941.9801 Exercise: How many micrometers are there in 13/5 of a millimeter? Reply: 2600 Exercise: How many years are there in seventeen quarters of a century? Reply: 425 Exercise: What is twenty-one quarters of a litre in millilitres? Reply: 5250 Exercise: What is 29/2 of a millennium in centuries? Reply: 145 Exercise: Convert 36.65325 litres to millilitres. Reply: 36653.25 Exercise: What is 32/5 of a meter in millimeters? Reply: 6400 Exercise: What is one sixteenth of a gram in micrograms? Reply: 62500 Exercise: How many millilitres are there in 9/10 of a litre? Reply: 900 Exercise: How many months are there in 79349.8 centuries? Reply: 95219760 Exercise: How many nanograms are there in 45/2 of a microgram? Reply: 22500 Exercise: How many decades are there in 339.8395 millennia? Re
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numbers: place value -------------------- Q=: What is the tens digit of 384900193? Hence: 9 Q=: What is the tens digit of 9158821? Hence: 2 Q=: What is the tens digit of 96043? Hence: 4 Q=: What is the hundreds digit of 99875? Hence: 8 Q=: What is the hundred thousands digit of 49920548? Hence: 9 Q=: What is the units digit of 9301? Hence: 1 Q=: What is the hundreds digit of 22849? Hence: 8 Q=: What is the thousands digit of 1870? Hence: 1 Q=: What is the ten thousands digit of 73302350? Hence: 0 Q=: What is the millions digit of 969288516? Hence: 9 Q=: What is the thousands digit of 1903565890? Hence: 5 Q=: What is the thousands digit of 11571638? Hence: 1 Q=: What is the tens digit of 31202? Hence: 0 Q=: What is the units digit of 32165? Hence: 5 Q=: What is the millions digit of 1093119? Hence: 1 Q=: What is the thousands digit of 7679? Hence: 7 Q=: What is the units digit of 9243? Hence: 3 Q=: What is the ten thousands digit of 10255459? Hence: 5 Q=: What is the thousands digit of 1143? Hence: 1 Q=: What is the ten millions digit of 728685251? Hence: 2 Q=: What is the ten thousands digit of 102671526? Hence: 7 Q=: What is the tens digit of 175? Hence: 7 Q=: What is the ten thousands digit of 29960488? Hence: 6 Q=: What is the units digit of 2340? Hence: 0 Q=: What is the tens digit of 1254? Hence: 5 Q=: What is the hundreds digit of 3122? Hence: 1 Q=: What is the thousands digit of 262977? Hence: 2 Q=: What is the hundreds digit of 30566? Hence: 5 Q=: What is the units digit of 1668? Hence: 8 Q=: What is the thousands digit of 7041517883? Hence: 7 Q=: What is the thousands digit of 11963? Hence: 1 Q=: What is the hundred millions digit of 418700809? Hence: 4 Q=: What is the millions digit of 12786606? Hence: 2 Q=: What is the ten thousands digit of 27989? Hence: 2 Q=: What is the hundred millions digit of 656194836? Hence: 6 Q=: What is the units digit of 2390? Hence: 0 Q=: What is the tens digit of 719? Hence: 1 Q=: What is the tens digit of 860110853? Hence: 5
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numbers: is prime ----------------- Example: Is 887030009 composite? Finding: False Example: Is 60045677 a prime number? Finding: True Example: Is 1204421 a prime number? Finding: True Example: Is 7258829 composite? Finding: True Example: Is 13936079 a composite number? Finding: False Example: Is 328337 composite? Finding: True Example: Is 106919661337 a prime number? Finding: True Example: Is 141851 a prime number? Finding: True Example: Is 763181 a prime number? Finding: False Example: Is 11015561 prime? Finding: False Example: Is 675525859 composite? Finding: True Example: Is 645377533 a prime number? Finding: True Example: Is 326537 a composite number? Finding: False Example: Is 6563 a composite number? Finding: False Example: Is 370769369 a prime number? Finding: False Example: Is 1396540421 prime? Finding: False Example: Is 198527488795 prime? Finding: False Example: Is 5154895589 prime? Finding: True Example: Is 978190559 prime? Finding: False Example: Is 1589179909 composite? Finding: False Example: Is 787557919 a composite number? Finding: False Example: Is 23121471 prime? Finding: False Example: Is 71610481 a composite number? Finding: False Example: Is 692051 prime? Finding: True Example: Is 9468528985 prime? Finding: False Example: Is 5245869235 a composite number? Finding: True Example: Is 142621 a prime number? Finding: False Example: Is 77653933 a composite number? Finding: True Example: Is 885697 composite? Finding: True Example: Is 5563 prime? Finding: True Example: Is 3207 prime? Finding: False Example: Is 708600779 a prime number? Finding: True Example: Is 15103746739 a prime number? Finding: False Example: Is 3281 a composite number? Finding: True Example: Is 25001 composite? Finding: True Example: Is 32941141 composite? Finding: False Example: Is 1735399 a composite number? Finding: False Example: Is 33703 a composite number? Finding: False Example: Is 14137 a composite number? Finding: True Example: Is 10405 a prime number? Finding: False Examp
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numbers: place value -------------------- Test item: What is the units digit of 6970? Response: 0 Test item: What is the ten thousands digit of 564379255? Response: 7 Test item: What is the units digit of 1853? Response: 3 Test item: What is the thousands digit of 10442? Response: 0 Test item: What is the thousands digit of 36061032? Response: 1 Test item: What is the hundreds digit of 490635? Response: 6 Test item: What is the hundred thousands digit of 7272417? Response: 2 Test item: What is the tens digit of 1976? Response: 7 Test item: What is the units digit of 1511? Response: 1 Test item: What is the units digit of 432883487? Response: 7 Test item: What is the tens digit of 22988? Response: 8 Test item: What is the hundreds digit of 2180? Response: 1 Test item: What is the units digit of 3989? Response: 9 Test item: What is the millions digit of 119180797? Response: 9 Test item: What is the tens digit of 7217? Response: 1 Test item: What is the thousands digit of 668464? Response: 8 Test item: What is the hundreds digit of 606432041? Response: 0 Test item: What is the tens digit of 1540710? Response: 1 Test item: What is the hundred thousands digit of 9238025? Response: 2 Test item: What is the tens digit of 256342857? Response: 5 Test item: What is the ten thousands digit of 33385531? Response: 8 Test item: What is the millions digit of 11423484? Response: 1 Test item: What is the thousands digit of 1487? Response: 1 Test item: What is the tens digit of 52285961? Response: 6 Test item: What is the hundreds digit of 50654642? Response: 6 Test item: What is the thousands digit of 870945579? Response: 5 Test item: What is the units digit of 49572? Response: 2 Test item: What is the hundred millions digit of 3024992106? Response: 0 Test item: What is the tens digit of 407? Response: 0 Test item: What is the hundreds digit of 58482085? Response: 0 Test item: What is the units digit of 40556? Response: 6 Test item: What is the hundred thousands digit of 220859? Res
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numbers: gcd ------------ Q.: What is the highest common factor of 951499 and 340158? Result: 89 Q.: What is the greatest common factor of 448 and 371? Result: 7 Q.: What is the greatest common divisor of 58 and 493? Result: 29 Q.: What is the highest common factor of 100 and 1055? Result: 5 Q.: Calculate the greatest common factor of 1485 and 675. Result: 135 Q.: What is the highest common factor of 183 and 4? Result: 1 Q.: Calculate the greatest common divisor of 1208639 and 3595. Result: 719 Q.: What is the highest common factor of 446560 and 896? Result: 32 Q.: What is the greatest common factor of 332 and 27? Result: 1 Q.: Calculate the greatest common divisor of 144 and 128. Result: 16 Q.: Calculate the greatest common factor of 1629 and 1267. Result: 181 Q.: What is the highest common factor of 99 and 1485? Result: 99 Q.: What is the greatest common factor of 5251505 and 20? Result: 5 Q.: What is the greatest common divisor of 31583755 and 1015? Result: 1015 Q.: What is the greatest common divisor of 83949960 and 1208? Result: 1208 Q.: What is the greatest common divisor of 55 and 13211? Result: 11 Q.: What is the highest common divisor of 102940344 and 2340? Result: 468 Q.: Calculate the greatest common divisor of 102 and 108. Result: 6 Q.: Calculate the highest common divisor of 176462 and 286. Result: 286 Q.: Calculate the highest common factor of 2013 and 66. Result: 33 Q.: Calculate the highest common divisor of 75 and 1914. Result: 3 Q.: What is the highest common factor of 21 and 51? Result: 3 Q.: Calculate the greatest common factor of 2046 and 3498. Result: 66 Q.: What is the highest common divisor of 8 and 18? Result: 2 Q.: What is the greatest common divisor of 5077 and 449431271? Result: 5077 Q.: What is the highest common divisor of 4570 and 174120? Result: 10 Q.: Calculate the highest common factor of 3010 and 14429080. Result: 430 Q.: What is the greatest common factor of 2164 and 12496018? Result: 1082 Q.: Calculate the greatest common divisor
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measurement: conversion ----------------------- Query: How many micrometers are there in 75/4 of a millimeter? Result: 18750 Query: Convert 7521.199g to micrograms. Result: 7521199000 Query: Convert 146373.7 millennia to centuries. Result: 1463737 Query: How many years are there in thirteen quarters of a millennium? Result: 3250 Query: What is 0.1476143 litres in millilitres? Result: 147.6143 Query: What is one fifth of a gram in milligrams? Result: 200 Query: Convert 7953.456ml to litres. Result: 7.953456 Query: How many nanograms are there in 706150.4ug? Result: 706150400 Query: How many centuries are there in 77501.33 decades? Result: 7750.133 Query: How many months are there in 937.8982 years? Result: 11254.7784 Query: What is seven halves of a centimeter in millimeters? Result: 35 Query: Convert 693.6541 years to decades. Result: 69.36541 Query: Convert 83.84295cm to millimeters. Result: 838.4295 Query: What is 21/5 of a millisecond in microseconds? Result: 4200 Query: Convert 316893.8 meters to kilometers. Result: 316.8938 Query: What is thirteen fifths of a litre in millilitres? Result: 2600 Query: What is 3.486676 nanometers in micrometers? Result: 0.003486676 Query: How many months are there in 9/10 of a millennium? Result: 10800 Query: What is 20.07085 days in milliseconds? Result: 1734121440 Query: How many millennia are there in 19.546656 months? Result: 0.001628888 Query: What is 85185.64 millennia in centuries? Result: 851856.4 Query: Convert 477.0765 millennia to years. Result: 477076.5 Query: How many millilitres are there in 6/25 of a litre? Result: 240 Query: What is 3.27866 minutes in microseconds? Result: 196719600 Query: How many milliseconds are there in 3/25 of a minute? Result: 7200 Query: What is 51/5 of a kilogram in grams? Result: 10200 Query: What is 382212.5 decades in years? Result: 3822125 Query: What is 52/5 of a litre in millilitres? Result: 10400 Query: What is one fifteenth of a millennium in months? Result: 800 Query: What is 31.8
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arithmetic: nearest integer root -------------------------------- Task: What is the third root of 354848552 to the nearest integer? Conclusion: 708 Task: What is the square root of 351226 to the nearest integer? Conclusion: 593 Task: What is the sixth root of 1428 to the nearest integer? Conclusion: 3 Task: What is 8914440 to the power of 1/3, to the nearest integer? Conclusion: 207 Task: What is 479285 to the power of 1/2, to the nearest integer? Conclusion: 692 Task: What is 610642201 to the power of 1/5, to the nearest integer? Conclusion: 57 Task: What is the fourth root of 5737 to the nearest integer? Conclusion: 9 Task: What is the square root of 8681 to the nearest integer? Conclusion: 93 Task: What is the seventh root of 1886 to the nearest integer? Conclusion: 3 Task: What is the third root of 1134282499 to the nearest integer? Conclusion: 1043 Task: What is 4081817 to the power of 1/7, to the nearest integer? Conclusion: 9 Task: What is the ninth root of 209672 to the nearest integer? Conclusion: 4 Task: What is 1012619119 to the power of 1/3, to the nearest integer? Conclusion: 1004 Task: What is 7027801 to the power of 1/7, to the nearest integer? Conclusion: 10 Task: What is the square root of 328489 to the nearest integer? Conclusion: 573 Task: What is 39631 to the power of 1/9, to the nearest integer? Conclusion: 3 Task: What is the third root of 322306 to the nearest integer? Conclusion: 69 Task: What is 322984 to the power of 1/2, to the nearest integer? Conclusion: 568 Task: What is the cube root of 27546083 to the nearest integer? Conclusion: 302 Task: What is the square root of 9672052 to the nearest integer? Conclusion: 3110 Task: What is 1093259 to the power of 1/7, to the nearest integer? Conclusion: 7 Task: What is the tenth root of 782 to the nearest integer? Conclusion: 2 Task: What is 10547775 to the power of 1/2, to the nearest integer? Conclusion: 3248 Task: What is 4337063 to the power of 1/2, to the nearest integer? Conclusion: 2083 Ta
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numbers: place value -------------------- Inquiry: What is the tens digit of 89641? Gives: 4 Inquiry: What is the thousands digit of 201701959? Gives: 1 Inquiry: What is the thousands digit of 1644390816? Gives: 0 Inquiry: What is the thousands digit of 7700195? Gives: 0 Inquiry: What is the thousands digit of 6475952? Gives: 5 Inquiry: What is the millions digit of 2877027? Gives: 2 Inquiry: What is the hundreds digit of 15867745? Gives: 7 Inquiry: What is the ten millions digit of 7405972448? Gives: 0 Inquiry: What is the hundred millions digit of 870382421? Gives: 8 Inquiry: What is the units digit of 55022351? Gives: 1 Inquiry: What is the units digit of 123105? Gives: 5 Inquiry: What is the tens digit of 37156? Gives: 5 Inquiry: What is the thousands digit of 39828? Gives: 9 Inquiry: What is the tens digit of 3537? Gives: 3 Inquiry: What is the hundred thousands digit of 62834848? Gives: 8 Inquiry: What is the hundreds digit of 11115? Gives: 1 Inquiry: What is the hundred thousands digit of 195294518? Gives: 2 Inquiry: What is the millions digit of 13648530? Gives: 3 Inquiry: What is the billions digit of 6005199981? Gives: 6 Inquiry: What is the hundreds digit of 372285916? Gives: 9 Inquiry: What is the units digit of 932376? Gives: 6 Inquiry: What is the ten millions digit of 14361448? Gives: 1 Inquiry: What is the thousands digit of 758362? Gives: 8 Inquiry: What is the thousands digit of 1357665915? Gives: 5 Inquiry: What is the units digit of 2676? Gives: 6 Inquiry: What is the units digit of 2033611621? Gives: 1 Inquiry: What is the units digit of 2651? Gives: 1 Inquiry: What is the tens digit of 846413338? Gives: 3 Inquiry: What is the tens digit of 906248? Gives: 4 Inquiry: What is the hundreds digit of 16957851? Gives: 8 Inquiry: What is the hundred thousands digit of 7676825? Gives: 6 Inquiry: What is the tens digit of 688656863? Gives: 6 Inquiry: What is the thousands digit of 99212345? Gives: 2 Inquiry: What is the ten millions digit of 12369439? Gi
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numbers: div remainder ---------------------- Qn: Calculate the remainder when 365 is divided by 113. Soln: 26 Qn: Calculate the remainder when 105 is divided by 70. Soln: 35 Qn: What is the remainder when 415525 is divided by 869? Soln: 143 Qn: What is the remainder when 53 is divided by 22? Soln: 9 Qn: Calculate the remainder when 42215 is divided by 568. Soln: 183 Qn: What is the remainder when 9016843 is divided by 12? Soln: 7 Qn: Calculate the remainder when 1448747 is divided by 37. Soln: 12 Qn: Calculate the remainder when 409079 is divided by 120. Soln: 119 Qn: What is the remainder when 3010392 is divided by 15? Soln: 12 Qn: Calculate the remainder when 75 is divided by 39. Soln: 36 Qn: Calculate the remainder when 12849 is divided by 42. Soln: 39 Qn: Calculate the remainder when 1672 is divided by 836. Soln: 0 Qn: What is the remainder when 32208467 is divided by 2312? Soln: 2307 Qn: What is the remainder when 161 is divided by 43? Soln: 32 Qn: Calculate the remainder when 165 is divided by 13. Soln: 9 Qn: What is the remainder when 3207 is divided by 643? Soln: 635 Qn: What is the remainder when 425 is divided by 87? Soln: 77 Qn: What is the remainder when 3333 is divided by 197? Soln: 181 Qn: Calculate the remainder when 3284 is divided by 91. Soln: 8 Qn: Calculate the remainder when 215 is divided by 105. Soln: 5 Qn: What is the remainder when 33012 is divided by 1956? Soln: 1716 Qn: Calculate the remainder when 324 is divided by 25. Soln: 24 Qn: Calculate the remainder when 441662 is divided by 220799. Soln: 64 Qn: Calculate the remainder when 115 is divided by 89. Soln: 26 Qn: Calculate the remainder when 350 is divided by 95. Soln: 65 Qn: What is the remainder when 5466 is divided by 71? Soln: 70 Qn: What is the remainder when 524 is divided by 19? Soln: 11 Qn: What is the remainder when 694 is divided by 196? Soln: 106 Qn: Calculate the remainder when 2751 is divided by 95. Soln: 91 Qn: Calculate the remainder when 20666399 is divided by 75. Soln: 7
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probability: swr p sequence --------------------------- Statement: What is prob of sequence jcc when three letters picked without replacement from jcccjjc? Solution: 6/35 Statement: Three letters picked without replacement from {b: 11, v: 5}. Give prob of sequence bvb. Solution: 55/336 Statement: Three letters picked without replacement from woeoqvew. Give prob of sequence owo. Solution: 1/84 Statement: Calculate prob of sequence jjj when three letters picked without replacement from sjjjssssjj. Solution: 1/12 Statement: Calculate prob of sequence ny when two letters picked without replacement from nnmnnnnnnynynnnnnnym. Solution: 9/76 Statement: Calculate prob of sequence oiu when three letters picked without replacement from {u: 4, i: 1, t: 2, o: 3}. Solution: 1/60 Statement: What is prob of sequence mw when two letters picked without replacement from {a: 7, w: 9, m: 2}? Solution: 1/17 Statement: What is prob of sequence euw when three letters picked without replacement from {k: 2, e: 3, h: 1, p: 3, u: 2, w: 1}? Solution: 1/220 Statement: Calculate prob of sequence gdgc when four letters picked without replacement from {a: 1, c: 5, d: 1, g: 3}. Solution: 1/168 Statement: What is prob of sequence juw when three letters picked without replacement from {w: 7, u: 3, j: 5, z: 1}? Solution: 1/32 Statement: Two letters picked without replacement from {o: 5}. Give prob of sequence oo. Solution: 1 Statement: Three letters picked without replacement from nljllrajllran. Give prob of sequence nln. Solution: 5/858 Statement: Four letters picked without replacement from qelqelemmmmqllmllm. What is prob of sequence mlll? Solution: 1/102 Statement: Two letters picked without replacement from {r: 2, i: 9}. What is prob of sequence ri? Solution: 9/55 Statement: Two letters picked without replacement from rrrpjxrpjrldpppp. What is prob of sequence rp? Solution: 1/8 Statement: Two letters picked without replacement from {i: 3, z: 2}. Give prob of sequence zi. Solution: 3/10 Statement:
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probability: swr p level set ---------------------------- Task: Four letters picked without replacement from ufufuuuu. Give prob of picking 4 u. Conclusion: 3/14 Task: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from cccccjcjc. Conclusion: 7/18 Task: What is prob of picking 2 m, 1 z, and 1 p when four letters picked without replacement from mppzxplmdllmppm? Conclusion: 2/91 Task: What is prob of picking 1 c and 1 s when two letters picked without replacement from cscccccsdtddctccctcc? Conclusion: 12/95 Task: What is prob of picking 1 z and 1 o when two letters picked without replacement from ogzgf? Conclusion: 1/10 Task: Calculate prob of picking 1 a, 2 x, and 1 k when four letters picked without replacement from {p: 9, k: 3, x: 3, a: 1, b: 1, t: 1}. Conclusion: 1/340 Task: What is prob of picking 1 h, 1 u, and 1 f when three letters picked without replacement from mddhfmu? Conclusion: 1/35 Task: Calculate prob of picking 4 n when four letters picked without replacement from {c: 10, n: 10}. Conclusion: 14/323 Task: What is prob of picking 2 f when two letters picked without replacement from {o: 1, d: 1, u: 1, p: 2, z: 2, f: 2}? Conclusion: 1/36 Task: Three letters picked without replacement from {x: 1, b: 2, c: 5, s: 3, l: 1}. What is prob of picking 2 b and 1 c? Conclusion: 1/44 Task: What is prob of picking 3 h when three letters picked without replacement from {j: 2, d: 1, h: 4}? Conclusion: 4/35 Task: What is prob of picking 2 u when two letters picked without replacement from {u: 6, m: 7}? Conclusion: 5/26 Task: What is prob of picking 1 s and 1 j when two letters picked without replacement from {s: 4, d: 3, j: 9}? Conclusion: 3/10 Task: Three letters picked without replacement from vvvxvvvxcvvxvx. Give prob of picking 3 x. Conclusion: 1/91 Task: Calculate prob of picking 3 y when three letters picked without replacement from szyyzsyzsszyzz. Conclusion: 1/91 Task: What is prob of picking 2 i and 1 w when three letters picke
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measurement: time ----------------- Query: What is 663 minutes after 3:00 PM? Result: 2:03 AM Query: How many minutes are there between 12:15 PM and 12:10 AM? Result: 715 Query: How many minutes are there between 11:21 PM and 4:00 AM? Result: 279 Query: What is 620 minutes after 1:08 AM? Result: 11:28 AM Query: How many minutes are there between 8:01 AM and 6:56 PM? Result: 655 Query: What is 250 minutes before 10:45 PM? Result: 6:35 PM Query: How many minutes are there between 8:20 AM and 4:12 PM? Result: 472 Query: How many minutes are there between 12:35 AM and 12:20 PM? Result: 705 Query: How many minutes are there between 5:09 PM and 4:56 AM? Result: 707 Query: How many minutes are there between 2:15 AM and 3:44 AM? Result: 89 Query: What is 107 minutes before 8:23 PM? Result: 6:36 PM Query: What is 421 minutes before 9:06 PM? Result: 2:05 PM Query: What is 448 minutes after 10:04 AM? Result: 5:32 PM Query: What is 246 minutes before 1:52 AM? Result: 9:46 PM Query: How many minutes are there between 4:40 AM and 1:04 PM? Result: 504 Query: What is 421 minutes after 4:09 AM? Result: 11:10 AM Query: How many minutes are there between 9:06 AM and 10:37 AM? Result: 91 Query: What is 386 minutes after 7:42 AM? Result: 2:08 PM Query: What is 325 minutes after 11:37 PM? Result: 5:02 AM Query: How many minutes are there between 6:25 AM and 11:21 AM? Result: 296 Query: How many minutes are there between 11:05 PM and 1:13 AM? Result: 128 Query: How many minutes are there between 7:33 AM and 2:23 PM? Result: 410 Query: What is 406 minutes before 1:31 PM? Result: 6:45 AM Query: How many minutes are there between 2:06 PM and 6:16 PM? Result: 250 Query: How many minutes are there between 12:40 PM and 10:50 PM? Result: 610 Query: How many minutes are there between 4:25 AM and 12:17 PM? Result: 472 Query: What is 660 minutes after 1:41 AM? Result: 12:41 PM Query: How many minutes are there between 12:01 AM and 4:15 AM? Result: 254 Query: How many minutes are there between 9:42
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probability: swr p sequence --------------------------- Q.: Calculate prob of sequence wf when two letters picked without replacement from gfgfwwwfffggww. Thus: 25/182 Q.: Three letters picked without replacement from {e: 4, h: 2}. What is prob of sequence heh? Thus: 1/15 Q.: Four letters picked without replacement from {h: 1, j: 1, t: 2, b: 1, u: 1, l: 1}. What is prob of sequence tulj? Thus: 1/420 Q.: What is prob of sequence qk when two letters picked without replacement from {q: 5, t: 9, k: 2, l: 2}? Thus: 5/153 Q.: Three letters picked without replacement from urjuupjuhujh. What is prob of sequence rhh? Thus: 1/660 Q.: Two letters picked without replacement from ltltltlltlltutl. What is prob of sequence ll? Thus: 4/15 Q.: Three letters picked without replacement from dddggdgdgggdgdgdgdd. Give prob of sequence dgg. Thus: 40/323 Q.: Three letters picked without replacement from kumuukkekkumkkkuku. Give prob of sequence umu. Thus: 5/408 Q.: Three letters picked without replacement from oozppopooc. What is prob of sequence zoo? Thus: 1/36 Q.: Two letters picked without replacement from {k: 2, u: 4, v: 10}. Give prob of sequence uv. Thus: 1/6 Q.: Calculate prob of sequence gr when two letters picked without replacement from {f: 9, r: 2, g: 6}. Thus: 3/68 Q.: Four letters picked without replacement from wwlplwliccwchwc. Give prob of sequence pihc. Thus: 1/8190 Q.: Two letters picked without replacement from {d: 5, f: 3}. What is prob of sequence df? Thus: 15/56 Q.: Calculate prob of sequence voj when three letters picked without replacement from cvcvjojicccjjvc. Thus: 2/455 Q.: What is prob of sequence jjf when three letters picked without replacement from dzfjjzfdfzzdjzzdzdj? Thus: 2/323 Q.: Calculate prob of sequence kw when two letters picked without replacement from kcunwtn. Thus: 1/42 Q.: What is prob of sequence knt when three letters picked without replacement from {k: 2, t: 4, q: 7, r: 1, n: 1}? Thus: 4/1365 Q.: What is prob of sequence bgh when three letters
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probability: swr p level set ---------------------------- Exercise: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from {h: 5, c: 4, a: 3}. Gives: 2/11 Exercise: Four letters picked without replacement from {o: 3, i: 17}. Give prob of picking 3 o and 1 i. Gives: 1/285 Exercise: Calculate prob of picking 2 o when two letters picked without replacement from {m: 2, d: 1, o: 2, i: 4}. Gives: 1/36 Exercise: What is prob of picking 4 y when four letters picked without replacement from {y: 9}? Gives: 1 Exercise: What is prob of picking 1 k and 1 a when two letters picked without replacement from pyyapygpkaq? Gives: 2/55 Exercise: What is prob of picking 2 i, 1 n, and 1 t when four letters picked without replacement from {n: 2, t: 1, m: 1, z: 3, i: 4, l: 1}? Gives: 4/165 Exercise: Two letters picked without replacement from bbllywybiywibbbyqqb. Give prob of picking 1 y and 1 b. Gives: 28/171 Exercise: What is prob of picking 1 p and 1 l when two letters picked without replacement from pspodpppl? Gives: 5/36 Exercise: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {u: 1, d: 1, i: 1, w: 1, m: 1}. Gives: 1/10 Exercise: What is prob of picking 1 v and 1 p when two letters picked without replacement from {x: 1, p: 7, v: 2, g: 4}? Gives: 2/13 Exercise: What is prob of picking 1 r, 1 v, 1 h, and 1 x when four letters picked without replacement from xxurhxuuarvvuxuux? Gives: 1/119 Exercise: Four letters picked without replacement from auvffgfgf. Give prob of picking 2 f, 1 v, and 1 a. Gives: 1/21 Exercise: Two letters picked without replacement from {d: 7, j: 1, k: 2, w: 8, g: 2}. Give prob of picking 2 k. Gives: 1/190 Exercise: What is prob of picking 2 e when two letters picked without replacement from eeneeneneeenee? Gives: 45/91 Exercise: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {q: 3, w: 2, i: 2, b: 11, r: 1}. Gives: 1/57 Exercise: Two letters picked witho
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numbers: gcd ------------ Input: Calculate the highest common factor of 10 and 3610. Sol: 10 Input: What is the greatest common factor of 86323860 and 56? Sol: 28 Input: Calculate the greatest common divisor of 157 and 2. Sol: 1 Input: What is the highest common factor of 26845 and 280? Sol: 35 Input: What is the greatest common divisor of 188125 and 2694552? Sol: 301 Input: What is the highest common factor of 126 and 63378? Sol: 126 Input: What is the highest common factor of 88 and 52243928? Sol: 88 Input: What is the greatest common factor of 8 and 104? Sol: 8 Input: What is the greatest common divisor of 336 and 13581078? Sol: 42 Input: Calculate the greatest common factor of 8487 and 14283. Sol: 207 Input: What is the greatest common divisor of 82488 and 1235847? Sol: 1473 Input: Calculate the greatest common divisor of 42 and 3101. Sol: 7 Input: What is the greatest common factor of 37298 and 170? Sol: 34 Input: What is the highest common divisor of 1640465 and 775? Sol: 5 Input: What is the highest common divisor of 14660 and 80? Sol: 20 Input: What is the greatest common divisor of 69453855 and 30? Sol: 15 Input: Calculate the highest common divisor of 68 and 85. Sol: 17 Input: What is the greatest common divisor of 1153475 and 925? Sol: 925 Input: What is the greatest common divisor of 153 and 22460553? Sol: 153 Input: Calculate the greatest common divisor of 17961804 and 14952. Sol: 84 Input: What is the highest common factor of 38045 and 9335? Sol: 5 Input: What is the greatest common divisor of 270 and 125503695? Sol: 135 Input: Calculate the greatest common divisor of 915 and 549. Sol: 183 Input: Calculate the greatest common factor of 15167 and 203. Sol: 29 Input: Calculate the highest common factor of 23842105 and 48535. Sol: 2855 Input: Calculate the greatest common divisor of 105 and 262815. Sol: 105 Input: Calculate the highest common divisor of 3560 and 40. Sol: 40 Input: What is the greatest common divisor of 146934812 and 1172? Sol: 1172 Input:
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probability: swr p level set ---------------------------- Puzzle: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from {t: 5, f: 7, k: 2}. Output: 5/13 Puzzle: Calculate prob of picking 3 g and 1 a when four letters picked without replacement from {a: 2, g: 4}. Output: 8/15 Puzzle: What is prob of picking 2 r and 2 m when four letters picked without replacement from mrrmrrr? Output: 2/7 Puzzle: Three letters picked without replacement from {v: 3, w: 2}. Give prob of picking 1 w and 2 v. Output: 3/5 Puzzle: What is prob of picking 2 n and 1 x when three letters picked without replacement from nbllllbniilnixlbui? Output: 1/272 Puzzle: What is prob of picking 1 h and 3 y when four letters picked without replacement from yhyy? Output: 1 Puzzle: Calculate prob of picking 3 k when three letters picked without replacement from {b: 3, e: 4, c: 1, t: 4, y: 6, k: 2}. Output: 0 Puzzle: Calculate prob of picking 1 g and 2 m when three letters picked without replacement from {m: 5, a: 3, p: 2, g: 9}. Output: 30/323 Puzzle: Calculate prob of picking 1 u, 2 n, and 1 b when four letters picked without replacement from {n: 2, y: 2, u: 3, b: 4, c: 1}. Output: 4/165 Puzzle: Two letters picked without replacement from {f: 3, v: 3, l: 1, e: 3, i: 1}. What is prob of picking 2 f? Output: 3/55 Puzzle: What is prob of picking 1 r and 1 d when two letters picked without replacement from {r: 4, n: 7, d: 2}? Output: 4/39 Puzzle: Three letters picked without replacement from {h: 1, m: 1, j: 1}. What is prob of picking 1 j and 2 h? Output: 0 Puzzle: What is prob of picking 1 y and 1 r when two letters picked without replacement from {c: 6, y: 9, r: 2}? Output: 9/68 Puzzle: Three letters picked without replacement from {u: 7, t: 2, w: 3}. What is prob of picking 3 u? Output: 7/44 Puzzle: What is prob of picking 3 x and 1 w when four letters picked without replacement from {w: 10, x: 4}? Output: 40/1001 Puzzle: Four letters picked without replacement from {h: 3,
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probability: swr p level set ---------------------------- Math Q: Two letters picked without replacement from {g: 3, h: 11}. Give prob of picking 1 g and 1 h. Hence: 33/91 Math Q: Three letters picked without replacement from {r: 7, y: 1, t: 10}. Give prob of picking 2 t and 1 y. Hence: 15/272 Math Q: Four letters picked without replacement from {e: 3, s: 1, m: 3, j: 1, f: 3}. Give prob of picking 1 j, 1 e, and 2 m. Hence: 3/110 Math Q: Three letters picked without replacement from {h: 8, f: 5, w: 4}. What is prob of picking 3 f? Hence: 1/68 Math Q: Two letters picked without replacement from gkdgddkkqdgdkkg. Give prob of picking 1 d and 1 q. Hence: 1/21 Math Q: Calculate prob of picking 1 b and 2 q when three letters picked without replacement from {b: 5, t: 2, n: 4, q: 3, l: 5}. Hence: 5/323 Math Q: Two letters picked without replacement from {y: 4, q: 1, t: 3, j: 4, z: 2}. What is prob of picking 1 y and 1 t? Hence: 12/91 Math Q: What is prob of picking 1 b, 2 u, and 1 g when four letters picked without replacement from ugmrkub? Hence: 1/35 Math Q: What is prob of picking 2 f when two letters picked without replacement from ffffff? Hence: 1 Math Q: What is prob of picking 3 z when three letters picked without replacement from zggggzzgzgg? Hence: 4/165 Math Q: Two letters picked without replacement from {n: 3, o: 2, j: 1, g: 1, h: 1, m: 3}. Give prob of picking 1 m and 1 j. Hence: 3/55 Math Q: Three letters picked without replacement from lddllldjddjj. Give prob of picking 3 j. Hence: 1/220 Math Q: Calculate prob of picking 3 j when three letters picked without replacement from ujujuujjjuuuuujujjjj. Hence: 2/19 Math Q: Calculate prob of picking 2 d when two letters picked without replacement from dddrdrrdddrdrrddrdd. Hence: 22/57 Math Q: Two letters picked without replacement from {a: 2, o: 1, r: 2, g: 9}. Give prob of picking 2 g. Hence: 36/91 Math Q: What is prob of picking 1 b and 2 j when three letters picked without replacement from {z: 2, j: 2, b: 1}? Hence:
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numbers: is factor ------------------ Given: Is 1634 a factor of 24465882? Clarification: True Given: Does 109 divide 9379359? Clarification: False Given: Is 131763 a multiple of 17? Clarification: False Given: Is 54788160 a multiple of 2240? Clarification: True Given: Is 1484 a factor of 75500548? Clarification: False Given: Does 52 divide 111956? Clarification: True Given: Does 33 divide 591? Clarification: False Given: Is 7 a factor of 7644? Clarification: True Given: Is 184 a factor of 414970? Clarification: False Given: Does 17 divide 2403? Clarification: False Given: Does 262 divide 87627? Clarification: False Given: Does 166 divide 25832216? Clarification: False Given: Is 48 a factor of 354912? Clarification: True Given: Is 89708959 a multiple of 52? Clarification: False Given: Is 1421796 a multiple of 12? Clarification: True Given: Does 17 divide 204? Clarification: True Given: Is 39577 a multiple of 64? Clarification: False Given: Is 248601 a multiple of 30? Clarification: False Given: Is 11 a factor of 66? Clarification: True Given: Does 4702 divide 662644779? Clarification: False Given: Does 6 divide 655? Clarification: False Given: Is 13 a factor of 922? Clarification: False Given: Does 185 divide 97680? Clarification: True Given: Does 31 divide 112269? Clarification: False Given: Does 15 divide 378727980? Clarification: True Given: Is 11 a factor of 525? Clarification: False Given: Is 649012 a multiple of 1472? Clarification: False Given: Is 56 a factor of 131040? Clarification: True Given: Is 19 a factor of 16938120? Clarification: True Given: Is 131 a factor of 25247? Clarification: False Given: Does 3 divide 425? Clarification: False Given: Is 51069327 a multiple of 765? Clarification: False Given: Does 2 divide 443? Clarification: False Given: Does 1075 divide 262355734? Clarification: False Given: Does 41 divide 1263? Clarification: False Given: Is 4 a factor of 3621? Clarification: False Given: Is 171 a factor of 291384? Clarification: True Given:
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numbers: gcd ------------ Math Problem: Calculate the greatest common divisor of 31 and 121867. Answer: 1 Math Problem: Calculate the greatest common divisor of 306 and 308550. Answer: 102 Math Problem: What is the greatest common factor of 152 and 114? Answer: 38 Math Problem: What is the greatest common factor of 433606080 and 170? Answer: 170 Math Problem: Calculate the highest common divisor of 98307 and 594. Answer: 297 Math Problem: What is the greatest common divisor of 22 and 737? Answer: 11 Math Problem: Calculate the highest common divisor of 1042 and 1170824544. Answer: 1042 Math Problem: Calculate the highest common divisor of 69192 and 503192. Answer: 248 Math Problem: What is the greatest common factor of 39025 and 700? Answer: 175 Math Problem: What is the highest common factor of 122571826 and 754? Answer: 26 Math Problem: What is the greatest common divisor of 793 and 183? Answer: 61 Math Problem: What is the greatest common factor of 228 and 285? Answer: 57 Math Problem: Calculate the greatest common divisor of 28 and 4. Answer: 4 Math Problem: Calculate the highest common divisor of 1085 and 945. Answer: 35 Math Problem: What is the greatest common divisor of 1290423 and 38? Answer: 19 Math Problem: What is the greatest common divisor of 54839000 and 39556? Answer: 3596 Math Problem: Calculate the highest common factor of 1122 and 554506. Answer: 34 Math Problem: What is the highest common divisor of 513 and 729? Answer: 27 Math Problem: What is the highest common factor of 56 and 32823266? Answer: 14 Math Problem: What is the highest common factor of 812224 and 672? Answer: 224 Math Problem: Calculate the greatest common divisor of 4986982 and 32032. Answer: 2002 Math Problem: What is the highest common factor of 32060 and 140? Answer: 140 Math Problem: What is the highest common factor of 9592 and 24948? Answer: 44 Math Problem: Calculate the greatest common divisor of 32232700 and 100. Answer: 100 Math Problem: Calculate the highest common divi
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numbers: lcm ------------ Problem Statement: What is the common denominator of 3/3374 and 19/10604? Reply: 74228 Problem Statement: What is the common denominator of -19/2005 and 53/3208? Reply: 16040 Problem Statement: What is the common denominator of -7/2067 and -5/239877? Reply: 165275253 Problem Statement: What is the common denominator of -89/30 and 173/12780? Reply: 12780 Problem Statement: What is the smallest common multiple of 481478030 and 5566220? Reply: 962956060 Problem Statement: What is the common denominator of 29/1689220 and -57/23140? Reply: 1689220 Problem Statement: Find the common denominator of -65/16 and 151/18. Reply: 144 Problem Statement: Calculate the smallest common multiple of 27462054 and 733719. Reply: 192234378 Problem Statement: What is the least common multiple of 1572004 and 53841137? Reply: 215364548 Problem Statement: What is the least common multiple of 3776 and 48? Reply: 11328 Problem Statement: What is the common denominator of -56/225 and -13/18? Reply: 450 Problem Statement: What is the smallest common multiple of 54 and 51239370? Reply: 461154330 Problem Statement: What is the common denominator of 29/485428 and 43/12? Reply: 1456284 Problem Statement: What is the least common multiple of 9 and 126104841? Reply: 126104841 Problem Statement: Calculate the common denominator of 67/1336 and 125/4292568. Reply: 4292568 Problem Statement: What is the smallest common multiple of 240 and 300? Reply: 1200 Problem Statement: Calculate the common denominator of -39/394762 and -69/22. Reply: 4342382 Problem Statement: Calculate the common denominator of -101/1104 and -71/5336. Reply: 32016 Problem Statement: Calculate the least common multiple of 12 and 3944. Reply: 11832 Problem Statement: Calculate the common denominator of -97/458252 and -139/547910. Reply: 25203860 Problem Statement: What is the least common multiple of 1200060 and 10620? Reply: 1200060 Problem Statement: Find the common denominator of -61/105 and 7/24. Reply: 8
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numbers: is prime ----------------- Inquiry: Is 1489185377 a composite number? Compute: True Inquiry: Is 655723403 a composite number? Compute: True Inquiry: Is 31291991 a prime number? Compute: True Inquiry: Is 98663 composite? Compute: False Inquiry: Is 4489890569 prime? Compute: False Inquiry: Is 6403380791 composite? Compute: False Inquiry: Is 92897551 composite? Compute: False Inquiry: Is 13585711 a composite number? Compute: True Inquiry: Is 152567 a prime number? Compute: True Inquiry: Is 1484999 a prime number? Compute: True Inquiry: Is 290933441 composite? Compute: False Inquiry: Is 834951343 prime? Compute: False Inquiry: Is 180949 prime? Compute: True Inquiry: Is 25891 prime? Compute: False Inquiry: Is 316417997 a composite number? Compute: True Inquiry: Is 112177873 a prime number? Compute: True Inquiry: Is 6974563 a composite number? Compute: False Inquiry: Is 751611349 a composite number? Compute: False Inquiry: Is 1133317253 prime? Compute: False Inquiry: Is 22211923 a prime number? Compute: False Inquiry: Is 3372337131 a composite number? Compute: True Inquiry: Is 298565387 a composite number? Compute: False Inquiry: Is 30916481698 a composite number? Compute: True Inquiry: Is 3616644077 prime? Compute: True Inquiry: Is 6842207 a composite number? Compute: False Inquiry: Is 7523613803 composite? Compute: False Inquiry: Is 24076427 composite? Compute: False Inquiry: Is 3636330997 prime? Compute: False Inquiry: Is 3749 composite? Compute: True Inquiry: Is 6012733 prime? Compute: False Inquiry: Is 37556384291 prime? Compute: False Inquiry: Is 49363 prime? Compute: True Inquiry: Is 40189 composite? Compute: False Inquiry: Is 16086771133 prime? Compute: True Inquiry: Is 24934290961 a prime number? Compute: False Inquiry: Is 1255157819 prime? Compute: False Inquiry: Is 4789349263 a composite number? Compute: False Inquiry: Is 43860078749 a composite number? Compute: False Inquiry: Is 6467 a composite number? Compute: True Inquiry: Is 1189789 a composite nu
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measurement: time ----------------- Question: What is 481 minutes after 7:36 PM? Result: 3:37 AM Question: How many minutes are there between 11:50 PM and 12:01 AM? Result: 11 Question: How many minutes are there between 4:24 PM and 9:46 PM? Result: 322 Question: What is 317 minutes before 4:50 PM? Result: 11:33 AM Question: What is 337 minutes before 6:38 AM? Result: 1:01 AM Question: What is 305 minutes before 1:59 PM? Result: 8:54 AM Question: How many minutes are there between 10:18 AM and 8:23 PM? Result: 605 Question: What is 446 minutes after 4:08 PM? Result: 11:34 PM Question: How many minutes are there between 6:21 PM and 1:15 AM? Result: 414 Question: How many minutes are there between 12:27 AM and 8:37 AM? Result: 490 Question: What is 274 minutes after 5:32 AM? Result: 10:06 AM Question: What is 42 minutes after 11:56 AM? Result: 12:38 PM Question: What is 532 minutes after 11:14 PM? Result: 8:06 AM Question: How many minutes are there between 6:11 PM and 6:01 AM? Result: 710 Question: What is 546 minutes before 3:30 AM? Result: 6:24 PM Question: What is 641 minutes after 3:51 AM? Result: 2:32 PM Question: What is 609 minutes before 2:18 PM? Result: 4:09 AM Question: How many minutes are there between 2:24 PM and 4:43 PM? Result: 139 Question: How many minutes are there between 3:47 AM and 9:09 AM? Result: 322 Question: How many minutes are there between 2:49 AM and 10:25 AM? Result: 456 Question: How many minutes are there between 6:20 AM and 4:36 PM? Result: 616 Question: What is 505 minutes after 11:25 PM? Result: 7:50 AM Question: What is 123 minutes before 4:14 PM? Result: 2:11 PM Question: What is 305 minutes before 6:53 PM? Result: 1:48 PM Question: What is 564 minutes before 4:46 AM? Result: 7:22 PM Question: What is 564 minutes after 9:16 AM? Result: 6:40 PM Question: How many minutes are there between 7:56 PM and 12:22 AM? Result: 266 Question: What is 625 minutes after 5:32 AM? Result: 3:57 PM Question: What is 345 minutes after 5:58 PM? Resul
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probability: swr p sequence --------------------------- Challenge: Calculate prob of sequence sb when two letters picked without replacement from {i: 3, a: 1, s: 11, b: 3, d: 1}. Response: 11/114 Challenge: What is prob of sequence uyk when three letters picked without replacement from {s: 1, k: 2, h: 3, c: 1, y: 5, u: 3}? Response: 1/91 Challenge: Four letters picked without replacement from {x: 3, y: 1, e: 2, g: 1}. Give prob of sequence eexg. Response: 1/140 Challenge: Four letters picked without replacement from {g: 2, z: 7, p: 5}. Give prob of sequence pzzz. Response: 25/572 Challenge: Calculate prob of sequence jf when two letters picked without replacement from {t: 1, k: 4, j: 2, f: 4, l: 1, p: 8}. Response: 2/95 Challenge: What is prob of sequence jr when two letters picked without replacement from hlrhjllhnhhh? Response: 1/132 Challenge: Two letters picked without replacement from gteojttjt. Give prob of sequence to. Response: 1/18 Challenge: Calculate prob of sequence cb when two letters picked without replacement from {c: 6, g: 2, f: 3, b: 1, y: 1}. Response: 1/26 Challenge: Calculate prob of sequence mrz when three letters picked without replacement from {z: 2, d: 1, w: 8, m: 1, o: 1, r: 3}. Response: 1/560 Challenge: Four letters picked without replacement from uyototqoqyyoupt. Give prob of sequence yuyy. Response: 1/2730 Challenge: Calculate prob of sequence vkvh when four letters picked without replacement from {v: 4, k: 10, h: 6}. Response: 2/323 Challenge: Calculate prob of sequence wp when two letters picked without replacement from {y: 10, w: 6, p: 1}. Response: 3/136 Challenge: Two letters picked without replacement from {g: 1, w: 2, p: 1, d: 1, a: 1, s: 8}. Give prob of sequence ww. Response: 1/91 Challenge: Four letters picked without replacement from {a: 7, e: 1, x: 9, t: 1}. What is prob of sequence axxt? Response: 7/1020 Challenge: What is prob of sequence nazn when four letters picked without replacement from znaaaaannnzzaaaz? Response: 4/4
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numbers: gcd ------------ Math Q: What is the highest common divisor of 33984 and 3153609? Hence: 531 Math Q: Calculate the highest common divisor of 69 and 2047. Hence: 23 Math Q: Calculate the highest common factor of 8379 and 12441884. Hence: 931 Math Q: Calculate the highest common divisor of 229069008 and 96. Hence: 48 Math Q: What is the highest common divisor of 352 and 64? Hence: 32 Math Q: Calculate the greatest common divisor of 46 and 1242. Hence: 46 Math Q: What is the greatest common factor of 697 and 4715? Hence: 41 Math Q: What is the highest common divisor of 5863788 and 114? Hence: 6 Math Q: What is the greatest common factor of 115508 and 32? Hence: 4 Math Q: Calculate the greatest common divisor of 372696 and 4102. Hence: 586 Math Q: What is the highest common factor of 63 and 15? Hence: 3 Math Q: What is the highest common factor of 2162 and 21298? Hence: 46 Math Q: Calculate the highest common factor of 377 and 65. Hence: 13 Math Q: Calculate the highest common divisor of 34012134 and 390. Hence: 78 Math Q: Calculate the highest common divisor of 2583699 and 19833. Hence: 1803 Math Q: What is the greatest common factor of 8 and 100? Hence: 4 Math Q: What is the greatest common factor of 11225 and 90775? Hence: 25 Math Q: What is the highest common divisor of 3750 and 150? Hence: 150 Math Q: What is the highest common factor of 18508 and 49812? Hence: 28 Math Q: Calculate the highest common divisor of 171 and 6897. Hence: 57 Math Q: Calculate the greatest common factor of 1 and 179743. Hence: 1 Math Q: What is the highest common divisor of 300 and 2270? Hence: 10 Math Q: What is the greatest common divisor of 539 and 77? Hence: 77 Math Q: What is the greatest common factor of 4915 and 120? Hence: 5 Math Q: What is the highest common divisor of 1224 and 136? Hence: 136 Math Q: What is the greatest common divisor of 6 and 87? Hence: 3 Math Q: Calculate the greatest common factor of 788086 and 24596. Hence: 26 Math Q: What is the greatest common fac
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numbers: place value -------------------- Prompt: What is the thousands digit of 50225149? Explanation: 5 Prompt: What is the thousands digit of 500820? Explanation: 0 Prompt: What is the hundred millions digit of 393675832? Explanation: 3 Prompt: What is the hundreds digit of 909? Explanation: 9 Prompt: What is the millions digit of 2529857? Explanation: 2 Prompt: What is the units digit of 5034? Explanation: 4 Prompt: What is the millions digit of 60374542? Explanation: 0 Prompt: What is the tens digit of 93? Explanation: 9 Prompt: What is the hundred millions digit of 1092032447? Explanation: 0 Prompt: What is the ten millions digit of 27020678? Explanation: 2 Prompt: What is the hundreds digit of 316591339? Explanation: 3 Prompt: What is the units digit of 86705? Explanation: 5 Prompt: What is the hundreds digit of 97384? Explanation: 3 Prompt: What is the units digit of 12090205? Explanation: 5 Prompt: What is the ten millions digit of 252298443? Explanation: 5 Prompt: What is the hundreds digit of 22866? Explanation: 8 Prompt: What is the units digit of 50164? Explanation: 4 Prompt: What is the ten thousands digit of 2741603? Explanation: 4 Prompt: What is the hundreds digit of 1579? Explanation: 5 Prompt: What is the ten thousands digit of 1168183? Explanation: 6 Prompt: What is the tens digit of 54133? Explanation: 3 Prompt: What is the hundred thousands digit of 7110135? Explanation: 1 Prompt: What is the units digit of 2801? Explanation: 1 Prompt: What is the thousands digit of 8322? Explanation: 8 Prompt: What is the hundreds digit of 3623099? Explanation: 0 Prompt: What is the hundreds digit of 1968? Explanation: 9 Prompt: What is the units digit of 102388? Explanation: 8 Prompt: What is the hundred thousands digit of 293297038? Explanation: 2 Prompt: What is the hundred thousands digit of 214142986? Explanation: 1 Prompt: What is the hundred millions digit of 717229215? Explanation: 7 Prompt: What is the hundreds digit of 730? Explanation: 7 Prompt: Wha
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numbers: is prime ----------------- Part A: Is 95341097 composite? Finding: False Part A: Is 524417 a composite number? Finding: True Part A: Is 71155481 prime? Finding: True Part A: Is 2053 prime? Finding: True Part A: Is 6658643 a prime number? Finding: False Part A: Is 8154979 composite? Finding: True Part A: Is 181924693 prime? Finding: True Part A: Is 166275955 a prime number? Finding: False Part A: Is 114960449 prime? Finding: False Part A: Is 34959503 a composite number? Finding: True Part A: Is 6115253 a prime number? Finding: True Part A: Is 403169 prime? Finding: False Part A: Is 2564747473 prime? Finding: False Part A: Is 530899 a prime number? Finding: False Part A: Is 959023 prime? Finding: False Part A: Is 853241 a composite number? Finding: False Part A: Is 43211 composite? Finding: True Part A: Is 8742119 a prime number? Finding: False Part A: Is 50419 a prime number? Finding: False Part A: Is 356047 a composite number? Finding: True Part A: Is 25792941539 a composite number? Finding: False Part A: Is 626987 composite? Finding: False Part A: Is 16940827 prime? Finding: True Part A: Is 90719119 composite? Finding: False Part A: Is 533989 a prime number? Finding: True Part A: Is 118967 a prime number? Finding: True Part A: Is 105345673 composite? Finding: True Part A: Is 3736385 a prime number? Finding: False Part A: Is 240785585 prime? Finding: False Part A: Is 1026152497 prime? Finding: True Part A: Is 1905835 a prime number? Finding: False Part A: Is 16528559 composite? Finding: True Part A: Is 642301 a composite number? Finding: True Part A: Is 688782377 a prime number? Finding: True Part A: Is 5591 composite? Finding: False Part A: Is 1146954253 a prime number? Finding: False Part A: Is 4350341473 prime? Finding: True Part A: Is 912631 a prime number? Finding: True Part A: Is 322475899 a prime number? Finding: True Part A: Is 2418626131 a prime number? Finding: False Part A: Is 3791 composite? Finding: True Part A: Is 41290967 a prime number? Find
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measurement: time ----------------- Scenario: How many minutes are there between 12:59 AM and 5:50 AM? Math A: 291 Scenario: What is 56 minutes before 5:06 AM? Math A: 4:10 AM Scenario: What is 103 minutes before 5:20 PM? Math A: 3:37 PM Scenario: What is 255 minutes before 5:02 PM? Math A: 12:47 PM Scenario: How many minutes are there between 12:05 AM and 11:48 AM? Math A: 703 Scenario: What is 323 minutes after 12:12 PM? Math A: 5:35 PM Scenario: How many minutes are there between 12:18 PM and 10:02 PM? Math A: 584 Scenario: How many minutes are there between 6:21 PM and 4:45 AM? Math A: 624 Scenario: What is 399 minutes before 11:44 AM? Math A: 5:05 AM Scenario: What is 587 minutes before 5:52 PM? Math A: 8:05 AM Scenario: How many minutes are there between 11:14 AM and 2:41 PM? Math A: 207 Scenario: How many minutes are there between 7:46 PM and 3:12 AM? Math A: 446 Scenario: How many minutes are there between 4:25 AM and 5:13 AM? Math A: 48 Scenario: How many minutes are there between 4:49 AM and 11:58 AM? Math A: 429 Scenario: How many minutes are there between 7:58 PM and 4:46 AM? Math A: 528 Scenario: What is 92 minutes before 5:30 PM? Math A: 3:58 PM Scenario: How many minutes are there between 7:08 PM and 8:00 PM? Math A: 52 Scenario: How many minutes are there between 1:45 PM and 5:12 PM? Math A: 207 Scenario: How many minutes are there between 12:59 PM and 11:51 PM? Math A: 652 Scenario: What is 398 minutes before 1:05 AM? Math A: 6:27 PM Scenario: What is 52 minutes after 8:38 AM? Math A: 9:30 AM Scenario: How many minutes are there between 9:44 AM and 11:47 AM? Math A: 123 Scenario: What is 265 minutes after 1:18 PM? Math A: 5:43 PM Scenario: What is 587 minutes before 5:43 AM? Math A: 7:56 PM Scenario: What is 520 minutes after 11:29 PM? Math A: 8:09 AM Scenario: How many minutes are there between 10:07 AM and 9:37 PM? Math A: 690 Scenario: How many minutes are there between 10:07 AM and 7:50 PM? Math A: 583 Scenario: How many minutes are there betwee
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probability: swr p sequence --------------------------- Q=: Two letters picked without replacement from ydyllyyidjlb. Give prob of sequence ib. Eval: 1/132 Q=: Calculate prob of sequence wwm when three letters picked without replacement from owwmwowewweeoo. Eval: 5/364 Q=: Three letters picked without replacement from {h: 3, f: 7, j: 1, o: 5}. What is prob of sequence hoh? Eval: 1/112 Q=: Two letters picked without replacement from uuuuuujujuuuuuuuuuu. What is prob of sequence jj? Eval: 1/171 Q=: What is prob of sequence hw when two letters picked without replacement from hmmwvvmhhwhhhwvmm? Eval: 9/136 Q=: Two letters picked without replacement from {d: 14, e: 1}. Give prob of sequence ed. Eval: 1/15 Q=: Three letters picked without replacement from jkyyjylkmuuu. Give prob of sequence uuk. Eval: 1/110 Q=: Two letters picked without replacement from {m: 6, e: 8, d: 1}. Give prob of sequence de. Eval: 4/105 Q=: What is prob of sequence fbb when three letters picked without replacement from {f: 5, n: 5, s: 1, b: 4, g: 3}? Eval: 5/408 Q=: Two letters picked without replacement from gauaahuhphuaapa. Give prob of sequence aa. Eval: 1/7 Q=: What is prob of sequence eeee when four letters picked without replacement from eeeeeee? Eval: 1 Q=: Four letters picked without replacement from {r: 2, n: 1, a: 1, b: 3}. What is prob of sequence rnrb? Eval: 1/140 Q=: Calculate prob of sequence wx when two letters picked without replacement from {x: 3, t: 4, a: 4, w: 1, f: 2, n: 1}. Eval: 1/70 Q=: Calculate prob of sequence hvvh when four letters picked without replacement from {v: 9, h: 5}. Eval: 60/1001 Q=: Three letters picked without replacement from {h: 3, r: 4, u: 1, o: 2, j: 2}. What is prob of sequence hhh? Eval: 1/220 Q=: What is prob of sequence la when two letters picked without replacement from {r: 3, p: 9, i: 3, l: 2, a: 2, j: 1}? Eval: 1/95 Q=: Three letters picked without replacement from rrmpv. What is prob of sequence vmr? Eval: 1/30 Q=: Two letters picked without repl
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measurement: conversion ----------------------- Example: Convert 587.5372 micrometers to meters. Result: 0.0005875372 Example: What is 1699.317 tonnes in milligrams? Result: 1699317000000 Example: How many millimeters are there in nine tenths of a centimeter? Result: 9 Example: How many years are there in 7/4 of a century? Result: 175 Example: What is fourty-three halves of a decade in years? Result: 215 Example: Convert 6.595062ml to litres. Result: 0.006595062 Example: What is one tenth of a gram in micrograms? Result: 100000 Example: How many millennia are there in 20.087487 months? Result: 0.00167395725 Example: What is 9/10 of a milligram in micrograms? Result: 900 Example: How many grams are there in 6.435 micrograms? Result: 0.000006435 Example: What is 3672.856 weeks in microseconds? Result: 2221343308800000 Example: How many millilitres are there in nineteen quarters of a litre? Result: 4750 Example: What is 8/7 of a week in days? Result: 8 Example: How many milligrams are there in 43/2 of a gram? Result: 21500 Example: How many centuries are there in 543.6871 years? Result: 5.436871 Example: What is one tenth of a hour in seconds? Result: 360 Example: How many centuries are there in 447.6986 decades? Result: 44.76986 Example: What is 3/8 of a week in minutes? Result: 3780 Example: How many seconds are there in fifteen quarters of a hour? Result: 13500 Example: Convert 18955.3689ns to days. Result: 0.00000000021939084375 Example: How many litres are there in 11.5909ml? Result: 0.0115909 Example: How many minutes are there in twenty-three thirds of a week? Result: 77280 Example: How many micrometers are there in thirty-two fifths of a centimeter? Result: 64000 Example: What is 26/5 of a microgram in nanograms? Result: 5200 Example: What is 47633.87 years in decades? Result: 4763.387 Example: What is 65/3 of a decade in months? Result: 2600 Example: Convert 0.361733cm to meters. Result: 0.00361733 Example: What is 1/24 of a day in seconds? Result: 3600 Exampl
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