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numbers: div remainder ---------------------- Exercise: What is the remainder when 7543 is divided by 300? Sol: 43 Exercise: Calculate the remainder when 26861 is divided by 98. Sol: 9 Exercise: What is the remainder when 8833347 is divided by 30? Sol: 27 Exercise: What is the remainder when 26347 is divided by 17? Sol: 14 Exercise: Calculate the remainder when 75567 is divided by 2241. Sol: 1614 Exercise: Calculate the remainder when 57384 is divided by 23. Sol: 22 Exercise: Calculate the remainder when 28151 is divided by 3973. Sol: 340 Exercise: What is the remainder when 2392 is divided by 49? Sol: 40 Exercise: Calculate the remainder when 402 is divided by 345. Sol: 57 Exercise: Calculate the remainder when 57 is divided by 13. Sol: 5 Exercise: Calculate the remainder when 3650 is divided by 728. Sol: 10 Exercise: Calculate the remainder when 162 is divided by 51. Sol: 9 Exercise: Calculate the remainder when 6839 is divided by 15. Sol: 14 Exercise: What is the remainder when 1645 is divided by 447? Sol: 304 Exercise: Calculate the remainder when 3212 is divided by 1605. Sol: 2 Exercise: What is the remainder when 960575 is divided by 233? Sol: 149 Exercise: Calculate the remainder when 100425988 is divided by 2226. Sol: 2224 Exercise: What is the remainder when 10463 is divided by 1743? Sol: 5 Exercise: What is the remainder when 87516 is divided by 1133? Sol: 275 Exercise: What is the remainder when 1273 is divided by 127? Sol: 3 Exercise: Calculate the remainder when 3381 is divided by 226. Sol: 217 Exercise: Calculate the remainder when 314576 is divided by 2232. Sol: 2096 Exercise: Calculate the remainder when 25 is divided by 10. Sol: 5 Exercise: What is the remainder when 1655 is divided by 341? Sol: 291 Exercise: What is the remainder when 8886491 is divided by 81527? Sol: 48 Exercise: Calculate the remainder when 148 is divided by 78. Sol: 70 Exercise: What is the remainder when 137133 is divided by 313? Sol: 39 Exercise: Calculate the remainder when 2
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numbers: gcd ------------ Math Problem: What is the highest common divisor of 9165 and 4277611? Calculation: 611 Math Problem: Calculate the highest common factor of 640 and 2140. Calculation: 20 Math Problem: Calculate the greatest common divisor of 69928 and 8. Calculation: 8 Math Problem: What is the highest common factor of 11024522 and 95? Calculation: 19 Math Problem: What is the greatest common factor of 393471 and 468? Calculation: 117 Math Problem: What is the greatest common factor of 113826803 and 1459? Calculation: 1459 Math Problem: Calculate the highest common divisor of 639 and 14449707. Calculation: 639 Math Problem: Calculate the greatest common factor of 7037 and 31. Calculation: 31 Math Problem: Calculate the highest common factor of 512 and 2295388. Calculation: 4 Math Problem: What is the highest common divisor of 31200 and 30? Calculation: 30 Math Problem: Calculate the greatest common divisor of 3069 and 62. Calculation: 31 Math Problem: What is the highest common divisor of 1700 and 533035? Calculation: 85 Math Problem: Calculate the highest common divisor of 750 and 50500. Calculation: 250 Math Problem: What is the greatest common divisor of 80 and 80? Calculation: 80 Math Problem: What is the highest common divisor of 861 and 164? Calculation: 41 Math Problem: Calculate the highest common factor of 1162 and 52458. Calculation: 14 Math Problem: What is the highest common factor of 9 and 311? Calculation: 1 Math Problem: Calculate the highest common divisor of 96 and 9708. Calculation: 12 Math Problem: Calculate the highest common divisor of 123 and 17372274. Calculation: 123 Math Problem: What is the greatest common factor of 3699 and 1096? Calculation: 137 Math Problem: What is the greatest common factor of 280 and 5560? Calculation: 40 Math Problem: Calculate the greatest common factor of 9751 and 3105793. Calculation: 199 Math Problem: Calculate the highest common divisor of 5379751 and 442. Calculation: 13 Math Problem: What is the highe
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probability: swr p level set ---------------------------- Challenge: What is prob of picking 2 c when two letters picked without replacement from {a: 3, c: 4, b: 2}? A: 1/6 Challenge: What is prob of picking 1 s and 1 p when two letters picked without replacement from {s: 1, p: 7}? A: 1/4 Challenge: Calculate prob of picking 1 t, 1 m, and 1 x when three letters picked without replacement from {e: 1, x: 1, m: 3, d: 3, t: 2}. A: 1/20 Challenge: Calculate prob of picking 2 e and 2 q when four letters picked without replacement from {e: 3, w: 4, s: 7, q: 5}. A: 5/646 Challenge: Three letters picked without replacement from {e: 6, u: 2, r: 2, d: 2}. What is prob of picking 1 e and 2 r? A: 3/110 Challenge: What is prob of picking 1 h and 2 o when three letters picked without replacement from hohho? A: 3/10 Challenge: Four letters picked without replacement from {f: 3, t: 7, s: 2}. Give prob of picking 3 t and 1 f. A: 7/33 Challenge: Four letters picked without replacement from nnnnnnnnnnnnqqnnnnn. What is prob of picking 2 n and 2 q? A: 2/57 Challenge: What is prob of picking 1 e, 1 n, and 2 z when four letters picked without replacement from {z: 6, e: 2, j: 2, n: 1}? A: 1/11 Challenge: What is prob of picking 1 c and 1 b when two letters picked without replacement from bccbbbbccbb? A: 28/55 Challenge: Three letters picked without replacement from {i: 1, m: 5, l: 7}. What is prob of picking 1 m, 1 i, and 1 l? A: 35/286 Challenge: Three letters picked without replacement from eesekeses. What is prob of picking 2 s and 1 k? A: 1/28 Challenge: Four letters picked without replacement from yduynyufbyuybbydfu. Give prob of picking 1 y, 2 f, and 1 n. A: 1/510 Challenge: Three letters picked without replacement from {e: 2, d: 2, g: 1, z: 2, q: 1}. Give prob of picking 1 g and 2 e. A: 1/56 Challenge: Calculate prob of picking 2 f when two letters picked without replacement from fcft. A: 1/6 Challenge: Calculate prob of picking 1 g and 1 w when two letters picked without replacemen
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numbers: place value -------------------- Qn: What is the ten thousands digit of 323195? Hence: 2 Qn: What is the hundreds digit of 52642230? Hence: 2 Qn: What is the tens digit of 7762? Hence: 6 Qn: What is the hundred thousands digit of 12067216? Hence: 0 Qn: What is the hundred thousands digit of 189042? Hence: 1 Qn: What is the hundreds digit of 5066? Hence: 0 Qn: What is the ten thousands digit of 63788? Hence: 6 Qn: What is the thousands digit of 1352? Hence: 1 Qn: What is the hundreds digit of 2129627? Hence: 6 Qn: What is the hundred thousands digit of 753802146? Hence: 8 Qn: What is the tens digit of 568106826? Hence: 2 Qn: What is the hundreds digit of 352650? Hence: 6 Qn: What is the millions digit of 115173075? Hence: 5 Qn: What is the hundreds digit of 2994274? Hence: 2 Qn: What is the tens digit of 5889? Hence: 8 Qn: What is the tens digit of 1753? Hence: 5 Qn: What is the tens digit of 1062? Hence: 6 Qn: What is the tens digit of 102167? Hence: 6 Qn: What is the millions digit of 1456829? Hence: 1 Qn: What is the hundreds digit of 20532? Hence: 5 Qn: What is the hundreds digit of 6020? Hence: 0 Qn: What is the hundreds digit of 1610773? Hence: 7 Qn: What is the tens digit of 3231174? Hence: 7 Qn: What is the millions digit of 29164576? Hence: 9 Qn: What is the thousands digit of 520866? Hence: 0 Qn: What is the thousands digit of 822526? Hence: 2 Qn: What is the thousands digit of 5740? Hence: 5 Qn: What is the units digit of 164404027? Hence: 7 Qn: What is the units digit of 5191? Hence: 1 Qn: What is the ten millions digit of 1524171032? Hence: 2 Qn: What is the tens digit of 844? Hence: 4 Qn: What is the millions digit of 2101874? Hence: 2 Qn: What is the billions digit of 2555266705? Hence: 2 Qn: What is the millions digit of 44296230? Hence: 4 Qn: What is the ten millions digit of 1901490764? Hence: 0 Qn: What is the ten thousands digit of 58598? Hence: 5 Qn: What is the ten thousands digit of 294237592? Hence: 3 Qn: What is the units digit of 57
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probability: swr p level set ---------------------------- Statement: What is prob of picking 1 z and 1 k when two letters picked without replacement from {g: 1, c: 6, k: 6, z: 1, b: 3, o: 3}? Solution: 3/95 Statement: What is prob of picking 1 d and 1 y when two letters picked without replacement from {u: 7, d: 1, x: 2, j: 1, y: 9}? Solution: 9/190 Statement: Three letters picked without replacement from kbbkl. What is prob of picking 2 b and 1 k? Solution: 1/5 Statement: Two letters picked without replacement from {e: 4, l: 2, c: 1, g: 7}. Give prob of picking 1 c and 1 l. Solution: 2/91 Statement: Four letters picked without replacement from {h: 5, w: 2, q: 4, o: 2}. What is prob of picking 2 o and 2 q? Solution: 6/715 Statement: Calculate prob of picking 1 w and 3 o when four letters picked without replacement from {o: 4, w: 3}. Solution: 12/35 Statement: Four letters picked without replacement from {w: 14, l: 4}. What is prob of picking 2 w and 2 l? Solution: 91/510 Statement: Four letters picked without replacement from {n: 7, w: 1, f: 1, i: 3}. Give prob of picking 1 w and 3 n. Solution: 7/99 Statement: Calculate prob of picking 1 o and 3 j when four letters picked without replacement from {o: 14, j: 5}. Solution: 35/969 Statement: Two letters picked without replacement from cjcjjcjjjj. What is prob of picking 1 j and 1 c? Solution: 7/15 Statement: Three letters picked without replacement from {i: 8, y: 2, j: 1, z: 4}. Give prob of picking 3 i. Solution: 8/65 Statement: Four letters picked without replacement from {r: 5, x: 2}. What is prob of picking 2 r and 2 x? Solution: 2/7 Statement: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {r: 1, j: 6, v: 3, x: 1, d: 4}. Solution: 4/35 Statement: Calculate prob of picking 2 s and 2 o when four letters picked without replacement from {o: 8, s: 9, j: 2}. Solution: 84/323 Statement: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from wtzwtz. So
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numbers: is factor ------------------ Situation: Is 38070547 a multiple of 8? Calculation: False Situation: Does 1921 divide 14389355? Calculation: False Situation: Does 2 divide 327257? Calculation: False Situation: Does 48 divide 5136? Calculation: True Situation: Does 183 divide 8819685? Calculation: True Situation: Does 5 divide 194710? Calculation: True Situation: Does 14 divide 18327? Calculation: False Situation: Is 8754 a multiple of 10? Calculation: False Situation: Does 33 divide 326678? Calculation: False Situation: Is 16 a factor of 109? Calculation: False Situation: Is 1836 a factor of 10175112? Calculation: True Situation: Does 15 divide 2445? Calculation: True Situation: Is 239 a factor of 4251610? Calculation: False Situation: Is 97 a factor of 27464355? Calculation: False Situation: Is 1145907 a multiple of 141? Calculation: True Situation: Does 3 divide 38163? Calculation: True Situation: Does 1224 divide 599916358? Calculation: False Situation: Is 929 a multiple of 12? Calculation: False Situation: Is 4327 a factor of 505722452? Calculation: True Situation: Does 15 divide 252? Calculation: False Situation: Is 11 a factor of 3428119? Calculation: False Situation: Is 40176664 a multiple of 74? Calculation: False Situation: Does 470 divide 579980? Calculation: True Situation: Does 173 divide 138512243? Calculation: False Situation: Does 97 divide 713370? Calculation: False Situation: Does 214 divide 4186482? Calculation: True Situation: Does 111 divide 9939495? Calculation: True Situation: Does 233 divide 6322745? Calculation: False Situation: Does 7 divide 13853? Calculation: True Situation: Does 42 divide 109226? Calculation: False Situation: Is 20255 a multiple of 9? Calculation: False Situation: Is 133 a factor of 4564? Calculation: False Situation: Is 3198720 a multiple of 256? Calculation: True Situation: Does 292 divide 18759832? Calculation: True Situation: Is 311903304 a multiple of 24? Calculation: True Situation: Does 58 divide 2666? Calcu
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measurement: conversion ----------------------- Q: How many millilitres are there in 46/5 of a litre? Resolution: 9200 Q: Convert 388049.7kg to milligrams. Resolution: 388049700000 Q: What is fourty-one halves of a microgram in nanograms? Resolution: 20500 Q: What is one twentieth of a day in seconds? Resolution: 4320 Q: How many years are there in 11/2 of a decade? Resolution: 55 Q: What is twenty-five halves of a tonne in kilograms? Resolution: 12500 Q: What is 99692.96 micrometers in meters? Resolution: 0.09969296 Q: What is one twentieth of a kilogram in milligrams? Resolution: 50000 Q: How many centimeters are there in seventy-five halves of a meter? Resolution: 3750 Q: What is 25/2 of a gram in milligrams? Resolution: 12500 Q: How many kilograms are there in five eighths of a tonne? Resolution: 625 Q: What is 0.1393365 millimeters in micrometers? Resolution: 139.3365 Q: What is 1/5 of a litre in millilitres? Resolution: 200 Q: How many millilitres are there in 962091.7 litres? Resolution: 962091700 Q: How many centuries are there in 540791.2 millennia? Resolution: 5407912 Q: What is 1/16 of a millisecond in nanoseconds? Resolution: 62500 Q: What is 457803.4 weeks in milliseconds? Resolution: 276879496320000 Q: What is 1/5 of a litre in millilitres? Resolution: 200 Q: What is seventy-four fifths of a litre in millilitres? Resolution: 14800 Q: What is fifteen quarters of a meter in centimeters? Resolution: 375 Q: What is 3/5 of a millennium in centuries? Resolution: 6 Q: What is 26002.407 months in centuries? Resolution: 21.6686725 Q: How many milligrams are there in 3/5 of a gram? Resolution: 600 Q: Convert 0.2513861s to milliseconds. Resolution: 251.3861 Q: Convert 0.5955505l to millilitres. Resolution: 595.5505 Q: How many micrograms are there in 1/4 of a milligram? Resolution: 250 Q: How many millilitres are there in five quarters of a litre? Resolution: 1250 Q: How many millimeters are there in 21/2 of a meter? Resolution: 10500 Q: Convert 2.1937km to meter
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measurement: time ----------------- Ask: How many minutes are there between 10:03 AM and 12:00 PM? Eval: 117 Ask: What is 481 minutes after 1:30 AM? Eval: 9:31 AM Ask: What is 445 minutes after 12:10 AM? Eval: 7:35 AM Ask: How many minutes are there between 5:49 AM and 8:14 AM? Eval: 145 Ask: How many minutes are there between 11:31 AM and 10:26 PM? Eval: 655 Ask: What is 249 minutes after 9:48 PM? Eval: 1:57 AM Ask: What is 10 minutes after 12:11 PM? Eval: 12:21 PM Ask: How many minutes are there between 10:47 PM and 6:57 AM? Eval: 490 Ask: How many minutes are there between 1:23 AM and 4:01 AM? Eval: 158 Ask: What is 610 minutes after 3:11 PM? Eval: 1:21 AM Ask: How many minutes are there between 6:31 PM and 4:14 AM? Eval: 583 Ask: What is 353 minutes after 11:57 AM? Eval: 5:50 PM Ask: How many minutes are there between 1:41 AM and 2:37 AM? Eval: 56 Ask: How many minutes are there between 8:16 AM and 1:43 PM? Eval: 327 Ask: How many minutes are there between 8:39 AM and 4:55 PM? Eval: 496 Ask: How many minutes are there between 4:38 AM and 10:31 AM? Eval: 353 Ask: How many minutes are there between 12:41 AM and 3:56 AM? Eval: 195 Ask: How many minutes are there between 11:53 AM and 4:57 PM? Eval: 304 Ask: How many minutes are there between 7:51 PM and 1:01 AM? Eval: 310 Ask: How many minutes are there between 6:09 AM and 5:54 PM? Eval: 705 Ask: What is 406 minutes after 2:08 AM? Eval: 8:54 AM Ask: How many minutes are there between 4:00 AM and 8:11 AM? Eval: 251 Ask: What is 107 minutes before 5:55 PM? Eval: 4:08 PM Ask: How many minutes are there between 4:00 PM and 1:41 AM? Eval: 581 Ask: What is 473 minutes before 5:35 AM? Eval: 9:42 PM Ask: What is 520 minutes after 2:49 AM? Eval: 11:29 AM Ask: What is 135 minutes after 10:07 AM? Eval: 12:22 PM Ask: What is 663 minutes before 9:43 AM? Eval: 10:40 PM Ask: What is 50 minutes before 8:52 AM? Eval: 8:02 AM Ask: How many minutes are there between 4:23 AM and 1:03 PM? Eval: 520 Ask: What is 2 minutes before 12:36 PM
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probability: swr p level set ---------------------------- Q-: Two letters picked without replacement from uhwutwttut. Give prob of picking 2 w. Calculation: 1/45 Q-: Four letters picked without replacement from {x: 2, n: 2, k: 1, g: 1, t: 1, h: 1}. Give prob of picking 1 t, 1 h, and 2 x. Calculation: 1/70 Q-: What is prob of picking 1 h and 1 a when two letters picked without replacement from aupyahdyuyydyyddha? Calculation: 2/51 Q-: Four letters picked without replacement from {j: 2, l: 2, e: 2, d: 1, o: 1}. Give prob of picking 1 d, 1 j, 1 e, and 1 o. Calculation: 2/35 Q-: Two letters picked without replacement from {z: 4, n: 1, e: 2}. Give prob of picking 1 z and 1 n. Calculation: 4/21 Q-: Three letters picked without replacement from vttv. Give prob of picking 2 t and 1 v. Calculation: 1/2 Q-: Four letters picked without replacement from ijypippiipiyppfij. Give prob of picking 4 i. Calculation: 3/476 Q-: Two letters picked without replacement from {n: 3, h: 2, f: 1, s: 3, o: 2, w: 1}. Give prob of picking 1 f and 1 h. Calculation: 1/33 Q-: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from ldrglcrd. Calculation: 1/14 Q-: Calculate prob of picking 1 t and 2 l when three letters picked without replacement from {l: 7, t: 1}. Calculation: 3/8 Q-: What is prob of picking 1 c, 1 y, and 2 l when four letters picked without replacement from fylccl? Calculation: 2/15 Q-: What is prob of picking 1 q and 1 s when two letters picked without replacement from ssqsgqqgggqg? Calculation: 2/11 Q-: Calculate prob of picking 3 z and 1 a when four letters picked without replacement from aaazaaaaaaaazz. Calculation: 1/91 Q-: Three letters picked without replacement from hlpjnppnhh. Give prob of picking 1 p and 2 n. Calculation: 1/40 Q-: Two letters picked without replacement from {e: 1, d: 1, w: 3, b: 1, z: 3, l: 2}. Give prob of picking 1 d and 1 z. Calculation: 3/55 Q-: Two letters picked without replacement from {t: 1, l: 2}. Give prob of picki
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numbers: is factor ------------------ Problem #: Is 6 a factor of 8? Finding: False Problem #: Does 56 divide 390442? Finding: False Problem #: Is 29957884 a multiple of 22? Finding: True Problem #: Does 28 divide 3302531368? Finding: False Problem #: Does 172 divide 252034? Finding: False Problem #: Is 83 a factor of 836640? Finding: True Problem #: Is 17 a factor of 121527360? Finding: False Problem #: Does 1078 divide 3584350? Finding: True Problem #: Is 4452 a multiple of 42? Finding: True Problem #: Does 21 divide 336785? Finding: False Problem #: Does 23 divide 168? Finding: False Problem #: Is 29 a factor of 824876? Finding: True Problem #: Is 1030368 a multiple of 764? Finding: False Problem #: Is 131 a multiple of 28? Finding: False Problem #: Is 276 a factor of 589634256? Finding: True Problem #: Is 918 a multiple of 9? Finding: True Problem #: Is 24 a factor of 6792? Finding: True Problem #: Is 3 a factor of 49? Finding: False Problem #: Is 3582754 a multiple of 19? Finding: True Problem #: Does 17 divide 1971? Finding: False Problem #: Does 3185 divide 45379880? Finding: True Problem #: Does 268 divide 6315667? Finding: False Problem #: Does 6 divide 439? Finding: False Problem #: Is 57 a factor of 80712? Finding: True Problem #: Is 17 a factor of 13623613? Finding: True Problem #: Is 266 a factor of 312816? Finding: True Problem #: Does 13 divide 8402? Finding: False Problem #: Does 7 divide 416605? Finding: True Problem #: Is 16 a factor of 314756? Finding: False Problem #: Is 1381 a factor of 607704? Finding: False Problem #: Is 98 a multiple of 10? Finding: False Problem #: Is 51 a factor of 3468? Finding: True Problem #: Is 16 a factor of 50464? Finding: True Problem #: Does 24 divide 5456? Finding: False Problem #: Is 334540098 a multiple of 381? Finding: True Problem #: Is 5205815743 a multiple of 17? Finding: False Problem #: Is 2 a factor of 60? Finding: True Problem #: Is 18 a factor of 3034926? Finding: True Problem #: Does 202 divide 14534900
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numbers: is factor ------------------ Situation: Does 1042 divide 20094730? Calculation: False Situation: Is 435 a factor of 532875? Calculation: True Situation: Does 12 divide 1044? Calculation: True Situation: Is 4 a factor of 5968? Calculation: True Situation: Does 76 divide 29132380? Calculation: False Situation: Is 601 a factor of 636786? Calculation: False Situation: Does 396 divide 379034? Calculation: False Situation: Is 27 a factor of 1789263? Calculation: True Situation: Is 48962665 a multiple of 535? Calculation: True Situation: Is 35116092 a multiple of 143? Calculation: False Situation: Is 14 a factor of 9766120? Calculation: True Situation: Is 4375 a multiple of 3? Calculation: False Situation: Does 591 divide 3025920? Calculation: True Situation: Does 702 divide 10143900? Calculation: True Situation: Is 5971 a multiple of 14? Calculation: False Situation: Does 124 divide 9548? Calculation: True Situation: Does 24 divide 96? Calculation: True Situation: Is 673124946 a multiple of 78? Calculation: True Situation: Does 9 divide 2990853? Calculation: True Situation: Is 79 a factor of 6975077? Calculation: False Situation: Is 206827936 a multiple of 150? Calculation: False Situation: Is 286676 a multiple of 5? Calculation: False Situation: Is 36 a factor of 972? Calculation: True Situation: Does 585 divide 26599950? Calculation: True Situation: Is 161429592 a multiple of 21? Calculation: False Situation: Is 55 a factor of 1101976645? Calculation: True Situation: Does 50 divide 11354? Calculation: False Situation: Is 107 a factor of 1682? Calculation: False Situation: Is 287 a multiple of 7? Calculation: True Situation: Is 2973954 a multiple of 93? Calculation: True Situation: Is 402 a multiple of 6? Calculation: True Situation: Is 924 a multiple of 19? Calculation: False Situation: Is 911302753 a multiple of 1426? Calculation: False Situation: Does 185 divide 50347935? Calculation: True Situation: Does 1408 divide 1033945088? Calculation: True Situation: I
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numbers: is prime ----------------- Request: Is 1855621939 composite? Answer: False Request: Is 104623 prime? Answer: True Request: Is 84139 prime? Answer: False Request: Is 79631714 composite? Answer: True Request: Is 4437921097 prime? Answer: False Request: Is 20068070566 a composite number? Answer: True Request: Is 106077869 a prime number? Answer: True Request: Is 15201073 prime? Answer: False Request: Is 608242397 a prime number? Answer: False Request: Is 41774447573 a composite number? Answer: True Request: Is 42930313 a prime number? Answer: False Request: Is 3075098419 a prime number? Answer: False Request: Is 261171677 composite? Answer: True Request: Is 34709669299 a composite number? Answer: False Request: Is 1700281 composite? Answer: True Request: Is 339091 a composite number? Answer: False Request: Is 63373 a prime number? Answer: False Request: Is 34723 composite? Answer: True Request: Is 15131 composite? Answer: False Request: Is 1061 a prime number? Answer: True Request: Is 85601420483 a composite number? Answer: False Request: Is 24340913 a prime number? Answer: False Request: Is 3321401 composite? Answer: False Request: Is 8600630203 prime? Answer: False Request: Is 666123 prime? Answer: False Request: Is 31883 a prime number? Answer: True Request: Is 37193583641 composite? Answer: False Request: Is 486967433 a composite number? Answer: True Request: Is 139364471 composite? Answer: False Request: Is 19436392427 a prime number? Answer: True Request: Is 4073 composite? Answer: False Request: Is 2631628463 a prime number? Answer: True Request: Is 8889 a prime number? Answer: False Request: Is 7321 a composite number? Answer: False Request: Is 6396239869 prime? Answer: False Request: Is 53257243346 composite? Answer: True Request: Is 524341 a composite number? Answer: False Request: Is 813213745 a composite number? Answer: True Request: Is 807293 a prime number? Answer: False Request: Is 65208343 prime? Answer: True Request: Is 29940233 prime? Answer:
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numbers: div remainder ---------------------- Inquiry: Calculate the remainder when 1211 is divided by 391. Therefore: 38 Inquiry: Calculate the remainder when 900 is divided by 88. Therefore: 20 Inquiry: Calculate the remainder when 531539402 is divided by 2998. Therefore: 2996 Inquiry: What is the remainder when 193 is divided by 39? Therefore: 37 Inquiry: Calculate the remainder when 358633 is divided by 19. Therefore: 8 Inquiry: What is the remainder when 75400066 is divided by 20? Therefore: 6 Inquiry: What is the remainder when 307 is divided by 211? Therefore: 96 Inquiry: What is the remainder when 157212 is divided by 1529? Therefore: 1254 Inquiry: Calculate the remainder when 17603 is divided by 1352. Therefore: 27 Inquiry: What is the remainder when 15224 is divided by 127? Therefore: 111 Inquiry: Calculate the remainder when 196951 is divided by 1060. Therefore: 851 Inquiry: Calculate the remainder when 1183 is divided by 202. Therefore: 173 Inquiry: Calculate the remainder when 57247397 is divided by 3605. Therefore: 3602 Inquiry: Calculate the remainder when 35 is divided by 8. Therefore: 3 Inquiry: What is the remainder when 577 is divided by 208? Therefore: 161 Inquiry: Calculate the remainder when 58 is divided by 51. Therefore: 7 Inquiry: Calculate the remainder when 3203610 is divided by 533933. Therefore: 12 Inquiry: Calculate the remainder when 5118 is divided by 40. Therefore: 38 Inquiry: What is the remainder when 14224601 is divided by 294? Therefore: 293 Inquiry: What is the remainder when 532 is divided by 67? Therefore: 63 Inquiry: Calculate the remainder when 536554 is divided by 39. Therefore: 31 Inquiry: What is the remainder when 2322244 is divided by 1161121? Therefore: 2 Inquiry: What is the remainder when 972351 is divided by 91? Therefore: 16 Inquiry: Calculate the remainder when 746714 is divided by 144. Therefore: 74 Inquiry: What is the remainder when 131 is divided by 28? Therefore: 19 Inquiry: What is the remainder when 1135 is
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measurement: time ----------------- Math Q: How many minutes are there between 1:10 AM and 11:27 AM? Key: 617 Math Q: How many minutes are there between 10:36 PM and 2:32 AM? Key: 236 Math Q: What is 525 minutes after 2:30 PM? Key: 11:15 PM Math Q: What is 175 minutes after 1:56 AM? Key: 4:51 AM Math Q: What is 252 minutes after 1:07 AM? Key: 5:19 AM Math Q: How many minutes are there between 5:40 AM and 5:46 AM? Key: 6 Math Q: What is 588 minutes after 3:11 PM? Key: 12:59 AM Math Q: What is 159 minutes before 11:14 AM? Key: 8:35 AM Math Q: What is 167 minutes after 4:00 PM? Key: 6:47 PM Math Q: How many minutes are there between 3:36 AM and 1:46 PM? Key: 610 Math Q: What is 76 minutes after 5:29 AM? Key: 6:45 AM Math Q: What is 400 minutes before 8:20 AM? Key: 1:40 AM Math Q: What is 636 minutes after 7:23 PM? Key: 5:59 AM Math Q: How many minutes are there between 9:20 AM and 1:32 PM? Key: 252 Math Q: What is 470 minutes before 9:22 PM? Key: 1:32 PM Math Q: How many minutes are there between 6:14 AM and 8:11 AM? Key: 117 Math Q: What is 253 minutes after 5:13 AM? Key: 9:26 AM Math Q: How many minutes are there between 12:34 AM and 3:09 AM? Key: 155 Math Q: What is 317 minutes before 12:25 PM? Key: 7:08 AM Math Q: How many minutes are there between 6:48 AM and 9:53 AM? Key: 185 Math Q: How many minutes are there between 7:09 PM and 6:49 AM? Key: 700 Math Q: How many minutes are there between 4:55 PM and 10:12 PM? Key: 317 Math Q: How many minutes are there between 8:52 AM and 5:00 PM? Key: 488 Math Q: How many minutes are there between 3:45 PM and 5:07 PM? Key: 82 Math Q: How many minutes are there between 11:16 PM and 11:28 PM? Key: 12 Math Q: What is 576 minutes before 9:34 PM? Key: 11:58 AM Math Q: How many minutes are there between 2:13 AM and 7:54 AM? Key: 341 Math Q: What is 675 minutes before 4:48 PM? Key: 5:33 AM Math Q: What is 625 minutes before 8:37 AM? Key: 10:12 PM Math Q: What is 453 minutes after 2:17 AM? Key: 9:50 AM Math Q: How many minutes are the
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arithmetic: nearest integer root -------------------------------- Q=: What is 56717 to the power of 1/2, to the nearest integer? Conclusion: 238 Q=: What is 6247545 to the power of 1/3, to the nearest integer? Conclusion: 184 Q=: What is the cube root of 34422 to the nearest integer? Conclusion: 33 Q=: What is the cube root of 17645613 to the nearest integer? Conclusion: 260 Q=: What is the fifth root of 151797154 to the nearest integer? Conclusion: 43 Q=: What is the fifth root of 6316 to the nearest integer? Conclusion: 6 Q=: What is 472378 to the power of 1/3, to the nearest integer? Conclusion: 78 Q=: What is 179 to the power of 1/3, to the nearest integer? Conclusion: 6 Q=: What is the seventh root of 40749794 to the nearest integer? Conclusion: 12 Q=: What is the fifth root of 50794054 to the nearest integer? Conclusion: 35 Q=: What is the cube root of 56203646 to the nearest integer? Conclusion: 383 Q=: What is 3592861 to the power of 1/3, to the nearest integer? Conclusion: 153 Q=: What is the fifth root of 2958437081 to the nearest integer? Conclusion: 78 Q=: What is 550193 to the power of 1/8, to the nearest integer? Conclusion: 5 Q=: What is 363383415 to the power of 1/3, to the nearest integer? Conclusion: 714 Q=: What is the ninth root of 16780167 to the nearest integer? Conclusion: 6 Q=: What is the square root of 143270 to the nearest integer? Conclusion: 379 Q=: What is 108382724 to the power of 1/2, to the nearest integer? Conclusion: 10411 Q=: What is 276499979 to the power of 1/2, to the nearest integer? Conclusion: 16628 Q=: What is 20702 to the power of 1/5, to the nearest integer? Conclusion: 7 Q=: What is the square root of 219970110 to the nearest integer? Conclusion: 14831 Q=: What is the square root of 2384982564 to the nearest integer? Conclusion: 48836 Q=: What is 330936 to the power of 1/3, to the nearest integer? Conclusion: 69 Q=: What is the eighth root of 4057878 to the nearest integer? Conclusion: 7 Q=: What is the square root of 28
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arithmetic: nearest integer root -------------------------------- Let: What is the tenth root of 1800 to the nearest integer? Answer: 2 Let: What is the cube root of 114579 to the nearest integer? Answer: 49 Let: What is 91175 to the power of 1/2, to the nearest integer? Answer: 302 Let: What is the tenth root of 738405 to the nearest integer? Answer: 4 Let: What is the cube root of 189338850 to the nearest integer? Answer: 574 Let: What is the square root of 1457 to the nearest integer? Answer: 38 Let: What is 1687 to the power of 1/2, to the nearest integer? Answer: 41 Let: What is 296020343 to the power of 1/2, to the nearest integer? Answer: 17205 Let: What is the square root of 828103 to the nearest integer? Answer: 910 Let: What is the eighth root of 483995 to the nearest integer? Answer: 5 Let: What is the tenth root of 252031188 to the nearest integer? Answer: 7 Let: What is the seventh root of 1692511003 to the nearest integer? Answer: 21 Let: What is 450514 to the power of 1/2, to the nearest integer? Answer: 671 Let: What is 623374 to the power of 1/3, to the nearest integer? Answer: 85 Let: What is the eighth root of 33867 to the nearest integer? Answer: 4 Let: What is 1006301 to the power of 1/4, to the nearest integer? Answer: 32 Let: What is the eighth root of 949360388 to the nearest integer? Answer: 13 Let: What is the sixth root of 10451 to the nearest integer? Answer: 5 Let: What is the third root of 229901639 to the nearest integer? Answer: 613 Let: What is the seventh root of 21932838 to the nearest integer? Answer: 11 Let: What is the third root of 114619110 to the nearest integer? Answer: 486 Let: What is 365640 to the power of 1/2, to the nearest integer? Answer: 605 Let: What is the square root of 352988454 to the nearest integer? Answer: 18788 Let: What is 242 to the power of 1/2, to the nearest integer? Answer: 16 Let: What is 285324884 to the power of 1/3, to the nearest integer? Answer: 658 Let: What is the eighth root of 709 to the near
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numbers: place value -------------------- Puzzle: What is the tens digit of 437? Eval: 3 Puzzle: What is the thousands digit of 5500? Eval: 5 Puzzle: What is the ten thousands digit of 39663944? Eval: 6 Puzzle: What is the units digit of 4143072? Eval: 2 Puzzle: What is the millions digit of 3274148? Eval: 3 Puzzle: What is the ten thousands digit of 4359271? Eval: 5 Puzzle: What is the tens digit of 34402? Eval: 0 Puzzle: What is the thousands digit of 12225? Eval: 2 Puzzle: What is the hundreds digit of 30699964? Eval: 9 Puzzle: What is the hundreds digit of 587857453? Eval: 4 Puzzle: What is the tens digit of 671? Eval: 7 Puzzle: What is the ten thousands digit of 10605? Eval: 1 Puzzle: What is the tens digit of 17290958? Eval: 5 Puzzle: What is the thousands digit of 1105? Eval: 1 Puzzle: What is the hundreds digit of 1832150729? Eval: 7 Puzzle: What is the hundreds digit of 697548? Eval: 5 Puzzle: What is the thousands digit of 7152375? Eval: 2 Puzzle: What is the hundreds digit of 29884267? Eval: 2 Puzzle: What is the tens digit of 789? Eval: 8 Puzzle: What is the units digit of 882643600? Eval: 0 Puzzle: What is the tens digit of 41522721? Eval: 2 Puzzle: What is the hundred thousands digit of 1216251? Eval: 2 Puzzle: What is the millions digit of 5795997? Eval: 5 Puzzle: What is the thousands digit of 1417215497? Eval: 5 Puzzle: What is the units digit of 129755563? Eval: 3 Puzzle: What is the thousands digit of 691249638? Eval: 9 Puzzle: What is the thousands digit of 9199888? Eval: 9 Puzzle: What is the ten thousands digit of 11853? Eval: 1 Puzzle: What is the millions digit of 54534902? Eval: 4 Puzzle: What is the hundreds digit of 25425369? Eval: 3 Puzzle: What is the tens digit of 956209303? Eval: 0 Puzzle: What is the ten thousands digit of 12658648? Eval: 5 Puzzle: What is the ten thousands digit of 2866918? Eval: 6 Puzzle: What is the thousands digit of 6993665? Eval: 3 Puzzle: What is the hundred millions digit of 296313030? Eval: 2 Puzzle: What is
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probability: swr p sequence --------------------------- Q: Calculate prob of sequence ssss when four letters picked without replacement from {s: 4}. Therefore: 1 Q: Three letters picked without replacement from fpypphykpwkkffppfp. Give prob of sequence hyp. Therefore: 7/2448 Q: Calculate prob of sequence qse when three letters picked without replacement from {a: 5, i: 1, t: 5, s: 2, e: 1, q: 2}. Therefore: 1/840 Q: What is prob of sequence negn when four letters picked without replacement from egdgeedgengggnngeng? Therefore: 5/969 Q: Two letters picked without replacement from {x: 1, h: 1, a: 3, q: 1, w: 1}. What is prob of sequence ax? Therefore: 1/14 Q: What is prob of sequence cll when three letters picked without replacement from cslssclccccc? Therefore: 7/660 Q: Three letters picked without replacement from {a: 1, s: 1, m: 1, h: 1, t: 3}. What is prob of sequence hta? Therefore: 1/70 Q: Two letters picked without replacement from ffffffwfwwffffffffff. Give prob of sequence ff. Therefore: 68/95 Q: Two letters picked without replacement from ikxkkkxxkxk. What is prob of sequence xi? Therefore: 2/55 Q: Two letters picked without replacement from {i: 1, k: 7}. What is prob of sequence ki? Therefore: 1/8 Q: Three letters picked without replacement from {l: 5, q: 2, r: 6}. Give prob of sequence rrq. Therefore: 5/143 Q: Calculate prob of sequence rr when two letters picked without replacement from lrlrrrl. Therefore: 2/7 Q: What is prob of sequence ykf when three letters picked without replacement from {k: 5, f: 2, y: 6}? Therefore: 5/143 Q: Calculate prob of sequence zzzz when four letters picked without replacement from zzzzz. Therefore: 1 Q: What is prob of sequence teac when four letters picked without replacement from cktkyaet? Therefore: 1/840 Q: What is prob of sequence bbb when three letters picked without replacement from {b: 9}? Therefore: 1 Q: What is prob of sequence lh when two letters picked without replacement from {v: 9, h: 3, q: 2, m: 1, l: 4}? Theref
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numbers: div remainder ---------------------- Let us solve: What is the remainder when 2037268 is divided by 177? β†’: 175 Let us solve: What is the remainder when 3461 is divided by 675? β†’: 86 Let us solve: What is the remainder when 179424 is divided by 13? β†’: 11 Let us solve: Calculate the remainder when 140 is divided by 118. β†’: 22 Let us solve: What is the remainder when 2639 is divided by 710? β†’: 509 Let us solve: What is the remainder when 161210 is divided by 4768? β†’: 3866 Let us solve: Calculate the remainder when 1324490 is divided by 187. β†’: 156 Let us solve: Calculate the remainder when 792505 is divided by 4452. β†’: 49 Let us solve: Calculate the remainder when 1699615 is divided by 5992. β†’: 3879 Let us solve: What is the remainder when 353 is divided by 286? β†’: 67 Let us solve: Calculate the remainder when 306 is divided by 131. β†’: 44 Let us solve: What is the remainder when 1869 is divided by 312? β†’: 309 Let us solve: Calculate the remainder when 5598042 is divided by 6227. β†’: 6196 Let us solve: What is the remainder when 616 is divided by 6? β†’: 4 Let us solve: What is the remainder when 4039 is divided by 17? β†’: 10 Let us solve: What is the remainder when 269 is divided by 45? β†’: 44 Let us solve: Calculate the remainder when 137 is divided by 78. β†’: 59 Let us solve: What is the remainder when 61285 is divided by 183? β†’: 163 Let us solve: What is the remainder when 135 is divided by 19? β†’: 2 Let us solve: What is the remainder when 466 is divided by 48? β†’: 34 Let us solve: Calculate the remainder when 86913391 is divided by 70. β†’: 61 Let us solve: Calculate the remainder when 22574 is divided by 233. β†’: 206 Let us solve: What is the remainder when 367 is divided by 180? β†’: 7 Let us solve: Calculate the remainder when 2057 is divided by 148. β†’: 133 Let us solve: What is the remainder when 38292 is divided by 41? β†’: 39 Let us solve: Calculate the remainder when 2681476 is divided by 2157. β†’: 325 Let us solve: Calculate the remainder when 213481 is divided
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arithmetic: nearest integer root -------------------------------- Qn: What is the eighth root of 54472 to the nearest integer? Response: 4 Qn: What is 6145 to the power of 1/3, to the nearest integer? Response: 18 Qn: What is the cube root of 6507261446 to the nearest integer? Response: 1867 Qn: What is the tenth root of 109327 to the nearest integer? Response: 3 Qn: What is 922757201 to the power of 1/2, to the nearest integer? Response: 30377 Qn: What is 719 to the power of 1/3, to the nearest integer? Response: 9 Qn: What is 39097314 to the power of 1/3, to the nearest integer? Response: 339 Qn: What is 18894589 to the power of 1/2, to the nearest integer? Response: 4347 Qn: What is the square root of 5279814 to the nearest integer? Response: 2298 Qn: What is 4963 to the power of 1/9, to the nearest integer? Response: 3 Qn: What is the sixth root of 2079839 to the nearest integer? Response: 11 Qn: What is the tenth root of 11425351 to the nearest integer? Response: 5 Qn: What is 46087565 to the power of 1/2, to the nearest integer? Response: 6789 Qn: What is 1226203 to the power of 1/3, to the nearest integer? Response: 107 Qn: What is the square root of 3724667927 to the nearest integer? Response: 61030 Qn: What is the third root of 4003 to the nearest integer? Response: 16 Qn: What is the square root of 77291 to the nearest integer? Response: 278 Qn: What is 868210 to the power of 1/5, to the nearest integer? Response: 15 Qn: What is 840397 to the power of 1/9, to the nearest integer? Response: 5 Qn: What is the square root of 469518 to the nearest integer? Response: 685 Qn: What is 22767801 to the power of 1/9, to the nearest integer? Response: 7 Qn: What is the square root of 13765300 to the nearest integer? Response: 3710 Qn: What is 268876363 to the power of 1/2, to the nearest integer? Response: 16397 Qn: What is 4003727 to the power of 1/8, to the nearest integer? Response: 7 Qn: What is 11067542 to the power of 1/2, to the nearest integer? Response: 3327
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measurement: conversion ----------------------- Problem: Convert 0.5968988 litres to millilitres. Compute: 596.8988 Problem: Convert 7.142554 litres to millilitres. Compute: 7142.554 Problem: How many litres are there in 122.9408ml? Compute: 0.1229408 Problem: What is 31984.19l in millilitres? Compute: 31984190 Problem: How many seconds are there in 724.6992ms? Compute: 0.7246992 Problem: How many micrometers are there in 15/16 of a centimeter? Compute: 9375 Problem: How many millimeters are there in 6940.67um? Compute: 6.94067 Problem: How many millilitres are there in 61.44371l? Compute: 61443.71 Problem: How many seconds are there in 17/6 of a hour? Compute: 10200 Problem: How many minutes are there in 0.9930293 weeks? Compute: 10009.735344 Problem: How many litres are there in 31758.75ml? Compute: 31.75875 Problem: What is thirty-seven fifths of a week in minutes? Compute: 74592 Problem: How many litres are there in 86095.85 millilitres? Compute: 86.09585 Problem: What is 75/4 of a litre in millilitres? Compute: 18750 Problem: Convert 0.3620249t to kilograms. Compute: 362.0249 Problem: How many millilitres are there in six fifths of a litre? Compute: 1200 Problem: How many kilograms are there in 1/4 of a tonne? Compute: 250 Problem: What is 25/2 of a litre in millilitres? Compute: 12500 Problem: What is 13/8 of a litre in millilitres? Compute: 1625 Problem: What is 7/6 of a year in months? Compute: 14 Problem: What is 157.1479 days in minutes? Compute: 226292.976 Problem: What is 861314.5g in milligrams? Compute: 861314500 Problem: How many weeks are there in 1911980.91 hours? Compute: 11380.83875 Problem: What is 0.3616955 litres in millilitres? Compute: 361.6955 Problem: Convert 9.080089 centuries to months. Compute: 10896.1068 Problem: What is 45/4 of a microgram in nanograms? Compute: 11250 Problem: What is twenty-one fifths of a litre in millilitres? Compute: 4200 Problem: How many micrograms are there in thirty-four fifths of a milligram? Compute: 6800 Pro
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numbers: is factor ------------------ Situation: Is 972 a multiple of 54? Steps: True Situation: Is 4 a factor of 165? Steps: False Situation: Does 337 divide 181306? Steps: True Situation: Is 65 a factor of 666770? Steps: True Situation: Does 4648 divide 136944024? Steps: True Situation: Does 8 divide 3479024? Steps: True Situation: Does 56 divide 408016? Steps: True Situation: Is 134 a factor of 13154? Steps: False Situation: Is 10 a factor of 2250? Steps: True Situation: Is 384683026 a multiple of 1274? Steps: True Situation: Is 2814 a multiple of 21? Steps: True Situation: Is 7642047 a multiple of 7? Steps: True Situation: Is 27 a factor of 163235200? Steps: False Situation: Does 54 divide 87298? Steps: False Situation: Is 14 a factor of 812? Steps: True Situation: Does 56 divide 56055? Steps: False Situation: Does 10 divide 775? Steps: False Situation: Does 115 divide 15236925? Steps: True Situation: Is 89 a factor of 2937? Steps: True Situation: Is 139 a factor of 57685? Steps: True Situation: Does 129 divide 208725? Steps: False Situation: Does 4 divide 506? Steps: False Situation: Is 3108091 a multiple of 6? Steps: False Situation: Is 11659 a multiple of 89? Steps: True Situation: Is 107 a factor of 1370777? Steps: True Situation: Is 11652 a multiple of 45? Steps: False Situation: Does 37 divide 1517? Steps: True Situation: Is 5355 a factor of 123641595? Steps: True Situation: Is 769629980 a multiple of 659? Steps: False Situation: Does 31 divide 96682459? Steps: True Situation: Does 76 divide 342043? Steps: False Situation: Is 100679330 a multiple of 651? Steps: False Situation: Is 39 a factor of 372? Steps: False Situation: Is 1404 a multiple of 4? Steps: True Situation: Is 537 a factor of 584977568? Steps: False Situation: Is 3400 a multiple of 100? Steps: True Situation: Is 63 a factor of 37360153? Steps: False Situation: Does 8 divide 528532? Steps: False Situation: Is 2316788 a multiple of 16? Steps: False Situation: Does 13 divide 85509? Steps: False
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measurement: time ----------------- Question: How many minutes are there between 6:31 AM and 3:49 PM? Workthrough: 558 Question: What is 402 minutes after 5:38 PM? Workthrough: 12:20 AM Question: What is 197 minutes after 4:03 PM? Workthrough: 7:20 PM Question: What is 345 minutes after 12:06 AM? Workthrough: 5:51 AM Question: What is 689 minutes after 11:24 AM? Workthrough: 10:53 PM Question: What is 67 minutes before 2:11 AM? Workthrough: 1:04 AM Question: How many minutes are there between 9:10 PM and 7:15 AM? Workthrough: 605 Question: How many minutes are there between 8:46 AM and 2:11 PM? Workthrough: 325 Question: What is 342 minutes before 1:49 PM? Workthrough: 8:07 AM Question: How many minutes are there between 2:16 AM and 1:18 PM? Workthrough: 662 Question: How many minutes are there between 7:56 PM and 10:08 PM? Workthrough: 132 Question: How many minutes are there between 5:48 AM and 8:20 AM? Workthrough: 152 Question: What is 385 minutes before 10:27 AM? Workthrough: 4:02 AM Question: What is 662 minutes before 2:46 PM? Workthrough: 3:44 AM Question: What is 647 minutes after 1:03 AM? Workthrough: 11:50 AM Question: How many minutes are there between 6:40 AM and 6:51 AM? Workthrough: 11 Question: How many minutes are there between 1:29 PM and 6:31 PM? Workthrough: 302 Question: How many minutes are there between 11:38 PM and 11:18 AM? Workthrough: 700 Question: How many minutes are there between 8:06 PM and 12:01 AM? Workthrough: 235 Question: How many minutes are there between 10:22 PM and 11:44 PM? Workthrough: 82 Question: What is 185 minutes before 7:10 PM? Workthrough: 4:05 PM Question: How many minutes are there between 7:23 PM and 10:54 PM? Workthrough: 211 Question: How many minutes are there between 7:59 PM and 7:30 AM? Workthrough: 691 Question: How many minutes are there between 11:21 AM and 6:31 PM? Workthrough: 430 Question: What is 400 minutes before 11:35 AM? Workthrough: 4:55 AM Question: How many minutes are there between 10:02 PM and
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measurement: conversion ----------------------- Exercise: How many nanograms are there in 913.403kg? Output: 913403000000000 Exercise: What is 93.72759 millennia in decades? Output: 9372.759 Exercise: How many litres are there in 9.954013ml? Output: 0.009954013 Exercise: What is 94.52231m in centimeters? Output: 9452.231 Exercise: How many millilitres are there in 6.3748 litres? Output: 6374.8 Exercise: What is 4559.05l in millilitres? Output: 4559050 Exercise: Convert 143.519712 hours to weeks. Output: 0.854284 Exercise: How many millilitres are there in 8/25 of a litre? Output: 320 Exercise: How many millimeters are there in twenty-one halves of a centimeter? Output: 105 Exercise: Convert 625.1315 millilitres to litres. Output: 0.6251315 Exercise: What is one fifth of a tonne in kilograms? Output: 200 Exercise: What is 43/2 of a micrometer in nanometers? Output: 21500 Exercise: What is 31865.32 nanometers in micrometers? Output: 31.86532 Exercise: How many hours are there in 7.686105 weeks? Output: 1291.26564 Exercise: What is 430227.7 litres in millilitres? Output: 430227700 Exercise: What is 291705.7 millilitres in litres? Output: 291.7057 Exercise: What is 0.8024458 kilometers in nanometers? Output: 802445800000 Exercise: Convert 42.01718s to microseconds. Output: 42017180 Exercise: How many kilograms are there in 3/5 of a tonne? Output: 600 Exercise: What is nineteen quarters of a millimeter in micrometers? Output: 4750 Exercise: How many months are there in 974199.7 centuries? Output: 1169039640 Exercise: What is eighteen fifths of a litre in millilitres? Output: 3600 Exercise: What is 44.84163 milliseconds in nanoseconds? Output: 44841630 Exercise: How many nanometers are there in 8043.763 meters? Output: 8043763000000 Exercise: How many seconds are there in 0.5256032 weeks? Output: 317884.81536 Exercise: How many litres are there in 417637.8ml? Output: 417.6378 Exercise: How many litres are there in 4364.235ml? Output: 4.364235 Exercise: How many hours are
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numbers: div remainder ---------------------- Item: Calculate the remainder when 73961 is divided by 229. Output: 223 Item: What is the remainder when 4860 is divided by 26? Output: 24 Item: Calculate the remainder when 12963 is divided by 564. Output: 555 Item: What is the remainder when 3099 is divided by 384? Output: 27 Item: Calculate the remainder when 792198 is divided by 910. Output: 498 Item: Calculate the remainder when 365888 is divided by 12. Output: 8 Item: Calculate the remainder when 220 is divided by 76. Output: 68 Item: What is the remainder when 24760 is divided by 248? Output: 208 Item: What is the remainder when 235 is divided by 112? Output: 11 Item: What is the remainder when 119224632 is divided by 88? Output: 32 Item: What is the remainder when 2473613 is divided by 6? Output: 5 Item: Calculate the remainder when 1502290 is divided by 989. Output: 988 Item: Calculate the remainder when 101 is divided by 36. Output: 29 Item: Calculate the remainder when 837113 is divided by 12. Output: 5 Item: What is the remainder when 273489 is divided by 273141? Output: 348 Item: Calculate the remainder when 184625 is divided by 61532. Output: 29 Item: What is the remainder when 107 is divided by 103? Output: 4 Item: What is the remainder when 1199 is divided by 98? Output: 23 Item: Calculate the remainder when 151711 is divided by 2763. Output: 2509 Item: Calculate the remainder when 358 is divided by 34. Output: 18 Item: Calculate the remainder when 877 is divided by 2. Output: 1 Item: Calculate the remainder when 78 is divided by 12. Output: 6 Item: Calculate the remainder when 234 is divided by 67. Output: 33 Item: What is the remainder when 60937688 is divided by 45956? Output: 32 Item: Calculate the remainder when 795209 is divided by 62. Output: 59 Item: Calculate the remainder when 2216543 is divided by 35. Output: 28 Item: Calculate the remainder when 5194 is divided by 666. Output: 532 Item: Calculate the remainder when 212 is divided by 39. Output
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numbers: place value -------------------- Test item: What is the units digit of 146537? A: 7 Test item: What is the hundreds digit of 563313? A: 3 Test item: What is the ten thousands digit of 2941754? A: 4 Test item: What is the hundred thousands digit of 538662690? A: 6 Test item: What is the hundred thousands digit of 38794731? A: 7 Test item: What is the hundred millions digit of 142936803? A: 1 Test item: What is the hundred millions digit of 624710632? A: 6 Test item: What is the units digit of 21470? A: 0 Test item: What is the units digit of 53059? A: 9 Test item: What is the hundreds digit of 1018? A: 0 Test item: What is the tens digit of 6505? A: 0 Test item: What is the hundred thousands digit of 4227149580? A: 1 Test item: What is the tens digit of 3976? A: 7 Test item: What is the thousands digit of 25217174? A: 7 Test item: What is the ten thousands digit of 18736? A: 1 Test item: What is the thousands digit of 58833? A: 8 Test item: What is the hundreds digit of 4428? A: 4 Test item: What is the ten thousands digit of 292040? A: 9 Test item: What is the hundreds digit of 31912? A: 9 Test item: What is the units digit of 924151? A: 1 Test item: What is the thousands digit of 10263395? A: 3 Test item: What is the hundred millions digit of 2244697031? A: 2 Test item: What is the units digit of 2140938143? A: 3 Test item: What is the units digit of 11314314? A: 4 Test item: What is the hundreds digit of 1793736? A: 7 Test item: What is the millions digit of 45408334? A: 5 Test item: What is the ten millions digit of 266584975? A: 6 Test item: What is the units digit of 2761126? A: 6 Test item: What is the hundred thousands digit of 2773009? A: 7 Test item: What is the ten thousands digit of 110249? A: 1 Test item: What is the units digit of 180? A: 0 Test item: What is the thousands digit of 2218? A: 2 Test item: What is the millions digit of 16443818? A: 6 Test item: What is the thousands digit of 123950? A: 3 Test item: What is the tens digit of 451139
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numbers: place value -------------------- Input: What is the tens digit of 113315789? Therefore: 8 Input: What is the units digit of 306442? Therefore: 2 Input: What is the hundreds digit of 9505? Therefore: 5 Input: What is the hundreds digit of 8065168191? Therefore: 1 Input: What is the units digit of 391769195? Therefore: 5 Input: What is the ten thousands digit of 1239733408? Therefore: 3 Input: What is the millions digit of 16283415? Therefore: 6 Input: What is the hundreds digit of 7227? Therefore: 2 Input: What is the millions digit of 37961254? Therefore: 7 Input: What is the ten thousands digit of 117991611? Therefore: 9 Input: What is the millions digit of 5414277? Therefore: 5 Input: What is the units digit of 20908259? Therefore: 9 Input: What is the units digit of 227184? Therefore: 4 Input: What is the hundreds digit of 1182? Therefore: 1 Input: What is the hundreds digit of 1204740531? Therefore: 5 Input: What is the thousands digit of 8116293? Therefore: 6 Input: What is the units digit of 3147191? Therefore: 1 Input: What is the hundreds digit of 19097? Therefore: 0 Input: What is the tens digit of 878836? Therefore: 3 Input: What is the hundreds digit of 42528? Therefore: 5 Input: What is the hundreds digit of 18848? Therefore: 8 Input: What is the units digit of 89343? Therefore: 3 Input: What is the tens digit of 2390353? Therefore: 5 Input: What is the hundreds digit of 6055? Therefore: 0 Input: What is the hundred thousands digit of 696921? Therefore: 6 Input: What is the hundreds digit of 1387? Therefore: 3 Input: What is the thousands digit of 1272? Therefore: 1 Input: What is the millions digit of 18550984? Therefore: 8 Input: What is the ten thousands digit of 1765013754? Therefore: 1 Input: What is the billions digit of 3358904679? Therefore: 3 Input: What is the hundred millions digit of 1055130307? Therefore: 0 Input: What is the units digit of 4883? Therefore: 3 Input: What is the hundreds digit of 44911? Therefore: 9 Input: What is th
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numbers: gcd ------------ Q-: What is the greatest common factor of 172 and 473? Final Answer: 43 Q-: Calculate the greatest common factor of 84 and 551808978. Final Answer: 42 Q-: Calculate the greatest common divisor of 27358756 and 8. Final Answer: 4 Q-: Calculate the highest common factor of 415839 and 1746. Final Answer: 291 Q-: What is the greatest common divisor of 321441 and 9? Final Answer: 3 Q-: What is the greatest common factor of 32 and 1426328? Final Answer: 8 Q-: Calculate the highest common divisor of 477 and 441. Final Answer: 9 Q-: Calculate the greatest common divisor of 2 and 68. Final Answer: 2 Q-: Calculate the highest common divisor of 81 and 351. Final Answer: 27 Q-: Calculate the greatest common divisor of 507740976 and 1296. Final Answer: 144 Q-: What is the highest common divisor of 792 and 76274? Final Answer: 22 Q-: Calculate the highest common factor of 1386 and 6426. Final Answer: 126 Q-: Calculate the greatest common factor of 32 and 3214616. Final Answer: 8 Q-: Calculate the highest common factor of 200090 and 1498. Final Answer: 214 Q-: Calculate the highest common divisor of 11925 and 26100. Final Answer: 225 Q-: What is the highest common divisor of 1814 and 183848900? Final Answer: 1814 Q-: What is the greatest common factor of 8520663 and 9681? Final Answer: 1383 Q-: Calculate the greatest common factor of 1974196 and 29232. Final Answer: 28 Q-: What is the highest common divisor of 1313 and 715? Final Answer: 13 Q-: Calculate the highest common factor of 65 and 1079. Final Answer: 13 Q-: Calculate the highest common factor of 6696 and 1242. Final Answer: 54 Q-: What is the greatest common divisor of 702 and 62966646? Final Answer: 54 Q-: What is the greatest common divisor of 621 and 138? Final Answer: 69 Q-: Calculate the greatest common factor of 735 and 1015. Final Answer: 35 Q-: What is the greatest common divisor of 2580896 and 590? Final Answer: 118 Q-: What is the greatest common factor of 2322 and 162? Final Answer: 54
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numbers: is factor ------------------ Request: Is 27255 a multiple of 115? Final Answer: True Request: Is 13 a factor of 1301211787? Final Answer: False Request: Does 8073 divide 1055120739? Final Answer: False Request: Is 198 a factor of 2827242? Final Answer: True Request: Is 56332863 a multiple of 4? Final Answer: False Request: Is 15 a factor of 13752180? Final Answer: True Request: Is 3279012 a multiple of 3? Final Answer: True Request: Is 200608196 a multiple of 1401? Final Answer: False Request: Is 69173610 a multiple of 533? Final Answer: False Request: Is 10 a factor of 8029? Final Answer: False Request: Does 34 divide 7888? Final Answer: True Request: Is 304 a multiple of 38? Final Answer: True Request: Is 2958 a multiple of 51? Final Answer: True Request: Does 23 divide 2783? Final Answer: True Request: Is 875762050 a multiple of 415? Final Answer: True Request: Is 12 a factor of 72756? Final Answer: True Request: Does 9 divide 333? Final Answer: True Request: Is 22223838 a multiple of 79? Final Answer: False Request: Is 8249 a multiple of 73? Final Answer: True Request: Does 21 divide 1827? Final Answer: True Request: Is 21 a factor of 194574744? Final Answer: True Request: Is 24550301 a multiple of 1039? Final Answer: False Request: Does 90 divide 4858650? Final Answer: True Request: Does 57 divide 3363787740? Final Answer: True Request: Is 141856 a multiple of 44? Final Answer: True Request: Does 11 divide 20940? Final Answer: False Request: Is 35 a factor of 2135? Final Answer: True Request: Is 1024 a factor of 53609716? Final Answer: False Request: Does 620 divide 331080? Final Answer: True Request: Does 9 divide 983844? Final Answer: True Request: Does 826 divide 31483816? Final Answer: True Request: Does 13 divide 11205336? Final Answer: False Request: Is 25 a factor of 1375? Final Answer: True Request: Is 36318 a multiple of 6? Final Answer: True Request: Is 1099 a factor of 809694844? Final Answer: True Request: Is 14129 a multiple of 40? Final A
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probability: swr p level set ---------------------------- Task: What is prob of picking 3 u and 1 o when four letters picked without replacement from ooooooooouuuoooooo? Solution: 1/204 Task: Two letters picked without replacement from ddqdrdqqobbdoqqqqq. Give prob of picking 1 d and 1 r. Solution: 5/153 Task: Four letters picked without replacement from {c: 3, f: 4}. Give prob of picking 4 f. Solution: 1/35 Task: Three letters picked without replacement from hhdk. What is prob of picking 3 k? Solution: 0 Task: Two letters picked without replacement from fhhffkfffkffff. Give prob of picking 2 k. Solution: 1/91 Task: Calculate prob of picking 4 u when four letters picked without replacement from uuffffuffuf. Solution: 1/330 Task: Four letters picked without replacement from {u: 16, y: 4}. Give prob of picking 2 u and 2 y. Solution: 48/323 Task: Three letters picked without replacement from dlvvlvvldlvvlll. Give prob of picking 2 l and 1 v. Solution: 18/65 Task: Three letters picked without replacement from aaaaaaaaaaaaaaaaaha. Give prob of picking 1 h and 2 a. Solution: 3/19 Task: What is prob of picking 1 o and 1 y when two letters picked without replacement from {y: 9, o: 9}? Solution: 9/17 Task: Three letters picked without replacement from ambqxaf. What is prob of picking 2 a and 1 x? Solution: 1/35 Task: Three letters picked without replacement from {m: 1, c: 3}. Give prob of picking 3 c. Solution: 1/4 Task: Two letters picked without replacement from plwppppppqlqpp. Give prob of picking 1 l and 1 p. Solution: 18/91 Task: Three letters picked without replacement from {e: 3, p: 3, c: 5}. Give prob of picking 3 e. Solution: 1/165 Task: Four letters picked without replacement from {u: 9, v: 5, m: 3, c: 2}. Give prob of picking 2 m, 1 v, and 1 u. Solution: 45/1292 Task: What is prob of picking 2 s and 1 e when three letters picked without replacement from sessssssess? Solution: 24/55 Task: What is prob of picking 1 i and 2 z when three letters picked without replace
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arithmetic: nearest integer root -------------------------------- Problem: What is the third root of 169 to the nearest integer? Answer: 6 Problem: What is 426332 to the power of 1/8, to the nearest integer? Answer: 5 Problem: What is the square root of 45263931 to the nearest integer? Answer: 6728 Problem: What is 401969796 to the power of 1/3, to the nearest integer? Answer: 738 Problem: What is 998139 to the power of 1/10, to the nearest integer? Answer: 4 Problem: What is the seventh root of 761 to the nearest integer? Answer: 3 Problem: What is the third root of 152485739 to the nearest integer? Answer: 534 Problem: What is the cube root of 9875 to the nearest integer? Answer: 21 Problem: What is 32044 to the power of 1/3, to the nearest integer? Answer: 32 Problem: What is the tenth root of 1214 to the nearest integer? Answer: 2 Problem: What is the third root of 20370417 to the nearest integer? Answer: 273 Problem: What is the third root of 284122122 to the nearest integer? Answer: 657 Problem: What is 417305514 to the power of 1/3, to the nearest integer? Answer: 747 Problem: What is 138306 to the power of 1/3, to the nearest integer? Answer: 52 Problem: What is the fourth root of 900 to the nearest integer? Answer: 5 Problem: What is the eighth root of 255719 to the nearest integer? Answer: 5 Problem: What is the third root of 1626675436 to the nearest integer? Answer: 1176 Problem: What is the eighth root of 12241482 to the nearest integer? Answer: 8 Problem: What is the seventh root of 289022 to the nearest integer? Answer: 6 Problem: What is the third root of 80367575 to the nearest integer? Answer: 432 Problem: What is 725238909 to the power of 1/7, to the nearest integer? Answer: 18 Problem: What is 14757563 to the power of 1/8, to the nearest integer? Answer: 8 Problem: What is the cube root of 278391 to the nearest integer? Answer: 65 Problem: What is 2185839300 to the power of 1/8, to the nearest integer? Answer: 15 Problem: What is 4786592 to the p
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probability: swr p level set ---------------------------- Exercise: What is prob of picking 1 t and 3 j when four letters picked without replacement from tssssjsjestssssstsjj? Calculation: 4/1615 Exercise: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from oxoq. Calculation: 1/3 Exercise: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from uzuzzzuuzzuuzuuzuz. Calculation: 9/17 Exercise: Calculate prob of picking 1 c and 3 o when four letters picked without replacement from {o: 7, c: 6, k: 2}. Calculation: 2/13 Exercise: Two letters picked without replacement from {q: 2, k: 5}. Give prob of picking 2 k. Calculation: 10/21 Exercise: Calculate prob of picking 1 a, 1 i, and 1 z when three letters picked without replacement from aaazzzzzzriizzrir. Calculation: 9/85 Exercise: Two letters picked without replacement from {s: 10, l: 2, n: 1, d: 2, r: 2, b: 2}. Give prob of picking 1 n and 1 d. Calculation: 2/171 Exercise: What is prob of picking 1 b and 1 d when two letters picked without replacement from nryddbkrryrnr? Calculation: 1/39 Exercise: Calculate prob of picking 4 s when four letters picked without replacement from {s: 4, f: 10}. Calculation: 1/1001 Exercise: What is prob of picking 3 a and 1 q when four letters picked without replacement from {a: 15, q: 4}? Calculation: 455/969 Exercise: Four letters picked without replacement from xmmmssxvm. Give prob of picking 2 m, 1 s, and 1 x. Calculation: 4/21 Exercise: Two letters picked without replacement from {j: 1, t: 1, a: 1, k: 2}. What is prob of picking 1 a and 1 j? Calculation: 1/10 Exercise: What is prob of picking 3 g when three letters picked without replacement from ddgddddddgggdddddddd? Calculation: 1/285 Exercise: Three letters picked without replacement from jjjjjtjjtt. Give prob of picking 3 t. Calculation: 1/120 Exercise: What is prob of picking 3 h and 1 z when four letters picked without replacement from hrzrrzrhhzzzhzh? Calculation:
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numbers: is factor ------------------ Statement: Is 888 a multiple of 3? Fix: True Statement: Is 1489503 a multiple of 69? Fix: True Statement: Is 127302 a multiple of 14? Fix: True Statement: Is 56 a factor of 1232? Fix: True Statement: Is 895160 a multiple of 12? Fix: False Statement: Is 13 a factor of 5153590? Fix: True Statement: Does 474 divide 19825524? Fix: True Statement: Is 11 a factor of 20768? Fix: True Statement: Is 123 a multiple of 23? Fix: False Statement: Is 3867846 a multiple of 1131? Fix: False Statement: Is 123 a factor of 81066? Fix: False Statement: Is 188056326 a multiple of 23? Fix: True Statement: Is 9240 a multiple of 20? Fix: True Statement: Is 28793244 a multiple of 5? Fix: False Statement: Is 3360 a multiple of 20? Fix: True Statement: Is 19 a factor of 1159? Fix: True Statement: Is 633 a factor of 363342? Fix: True Statement: Does 947 divide 71244504? Fix: False Statement: Is 61206705 a multiple of 1673? Fix: True Statement: Is 308096685 a multiple of 741? Fix: True Statement: Is 11 a factor of 1023? Fix: True Statement: Is 2 a factor of 92? Fix: True Statement: Is 11 a factor of 1668059219? Fix: False Statement: Does 5 divide 806016024? Fix: False Statement: Does 11 divide 4939? Fix: True Statement: Is 774 a factor of 3539502? Fix: True Statement: Is 6765 a multiple of 15? Fix: True Statement: Does 7 divide 976998324? Fix: False Statement: Is 164 a multiple of 4? Fix: True Statement: Is 26 a factor of 9078? Fix: False Statement: Is 4319 a multiple of 21? Fix: False Statement: Does 351 divide 1782378? Fix: True Statement: Does 12 divide 711979? Fix: False Statement: Is 59 a factor of 1592897? Fix: False Statement: Does 506 divide 1149765? Fix: False Statement: Is 95 a factor of 268861619? Fix: False Statement: Is 20 a factor of 115? Fix: False Statement: Is 4118 a factor of 221556821? Fix: False Statement: Is 3356188704 a multiple of 2208? Fix: True Statement: Is 4800659682 a multiple of 8358? Fix: True Statement: Does 74 divide 21409? F
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measurement: time ----------------- Prompt: How many minutes are there between 2:44 PM and 5:20 PM? Yields: 156 Prompt: How many minutes are there between 7:17 PM and 9:50 PM? Yields: 153 Prompt: What is 353 minutes before 6:48 PM? Yields: 12:55 PM Prompt: How many minutes are there between 7:07 PM and 8:01 PM? Yields: 54 Prompt: What is 107 minutes after 9:20 AM? Yields: 11:07 AM Prompt: What is 315 minutes before 7:35 AM? Yields: 2:20 AM Prompt: What is 184 minutes after 4:24 PM? Yields: 7:28 PM Prompt: What is 454 minutes after 1:34 AM? Yields: 9:08 AM Prompt: How many minutes are there between 4:12 PM and 5:05 PM? Yields: 53 Prompt: What is 546 minutes before 2:34 AM? Yields: 5:28 PM Prompt: What is 660 minutes before 2:08 AM? Yields: 3:08 PM Prompt: What is 482 minutes after 2:10 PM? Yields: 10:12 PM Prompt: How many minutes are there between 10:17 AM and 3:34 PM? Yields: 317 Prompt: What is 707 minutes before 12:51 PM? Yields: 1:04 AM Prompt: What is 620 minutes after 12:07 PM? Yields: 10:27 PM Prompt: How many minutes are there between 11:45 AM and 1:01 PM? Yields: 76 Prompt: What is 50 minutes after 4:29 AM? Yields: 5:19 AM Prompt: What is 568 minutes after 4:40 PM? Yields: 2:08 AM Prompt: What is 710 minutes before 8:35 AM? Yields: 8:45 PM Prompt: How many minutes are there between 8:20 AM and 6:44 PM? Yields: 624 Prompt: What is 25 minutes after 11:47 AM? Yields: 12:12 PM Prompt: How many minutes are there between 2:20 PM and 3:48 PM? Yields: 88 Prompt: How many minutes are there between 5:15 PM and 5:21 PM? Yields: 6 Prompt: How many minutes are there between 6:47 PM and 12:41 AM? Yields: 354 Prompt: How many minutes are there between 5:39 PM and 10:44 PM? Yields: 305 Prompt: How many minutes are there between 3:01 AM and 4:33 AM? Yields: 92 Prompt: What is 321 minutes after 4:15 PM? Yields: 9:36 PM Prompt: How many minutes are there between 11:51 AM and 12:30 PM? Yields: 39 Prompt: How many minutes are there between 11:00 AM and 2:27 PM? Yields: 207 Prom
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arithmetic: nearest integer root -------------------------------- Situation: What is 1111531525 to the power of 1/10, to the nearest integer? Resolution: 8 Situation: What is the seventh root of 484 to the nearest integer? Resolution: 2 Situation: What is 2171665 to the power of 1/9, to the nearest integer? Resolution: 5 Situation: What is the third root of 157 to the nearest integer? Resolution: 5 Situation: What is the square root of 16165 to the nearest integer? Resolution: 127 Situation: What is 158191 to the power of 1/2, to the nearest integer? Resolution: 398 Situation: What is the third root of 5749143153 to the nearest integer? Resolution: 1791 Situation: What is 929789 to the power of 1/3, to the nearest integer? Resolution: 98 Situation: What is the third root of 850950149 to the nearest integer? Resolution: 948 Situation: What is the square root of 45687298 to the nearest integer? Resolution: 6759 Situation: What is 935938317 to the power of 1/2, to the nearest integer? Resolution: 30593 Situation: What is 24591 to the power of 1/3, to the nearest integer? Resolution: 29 Situation: What is 401082 to the power of 1/6, to the nearest integer? Resolution: 9 Situation: What is the square root of 108805268 to the nearest integer? Resolution: 10431 Situation: What is the third root of 3707208765 to the nearest integer? Resolution: 1548 Situation: What is the cube root of 5804 to the nearest integer? Resolution: 18 Situation: What is the eighth root of 168347240 to the nearest integer? Resolution: 11 Situation: What is the cube root of 1277947 to the nearest integer? Resolution: 109 Situation: What is the seventh root of 170577734 to the nearest integer? Resolution: 15 Situation: What is the cube root of 6710739960 to the nearest integer? Resolution: 1886 Situation: What is 8090157 to the power of 1/2, to the nearest integer? Resolution: 2844 Situation: What is the cube root of 988 to the nearest integer? Resolution: 10 Situation: What is 95393255 to the power
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numbers: div remainder ---------------------- Challenge: Calculate the remainder when 831191 is divided by 831189. Clarification: 2 Challenge: Calculate the remainder when 700 is divided by 352. Clarification: 348 Challenge: Calculate the remainder when 2559 is divided by 122. Clarification: 119 Challenge: Calculate the remainder when 132 is divided by 15. Clarification: 12 Challenge: Calculate the remainder when 12221 is divided by 2997. Clarification: 233 Challenge: What is the remainder when 16206 is divided by 61? Clarification: 41 Challenge: Calculate the remainder when 23156572 is divided by 4208. Clarification: 4156 Challenge: Calculate the remainder when 648 is divided by 13. Clarification: 11 Challenge: Calculate the remainder when 474 is divided by 300. Clarification: 174 Challenge: Calculate the remainder when 52 is divided by 31. Clarification: 21 Challenge: Calculate the remainder when 5723173 is divided by 1095. Clarification: 703 Challenge: Calculate the remainder when 732 is divided by 368. Clarification: 364 Challenge: Calculate the remainder when 40021 is divided by 476. Clarification: 37 Challenge: Calculate the remainder when 4806 is divided by 274. Clarification: 148 Challenge: What is the remainder when 6502458 is divided by 591121? Clarification: 127 Challenge: Calculate the remainder when 53426069 is divided by 6094. Clarification: 6065 Challenge: What is the remainder when 92579 is divided by 5882? Clarification: 4349 Challenge: Calculate the remainder when 83906 is divided by 9. Clarification: 8 Challenge: What is the remainder when 338 is divided by 159? Clarification: 20 Challenge: Calculate the remainder when 338894 is divided by 499. Clarification: 73 Challenge: Calculate the remainder when 63616 is divided by 20925. Clarification: 841 Challenge: Calculate the remainder when 15535 is divided by 515. Clarification: 85 Challenge: What is the remainder when 10073 is divided by 535? Clarification: 443 Challenge: Calculate the remainder when
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numbers: place value -------------------- Conundrum: What is the thousands digit of 1278851? Calculation: 8 Conundrum: What is the units digit of 2345? Calculation: 5 Conundrum: What is the ten millions digit of 68257497? Calculation: 6 Conundrum: What is the thousands digit of 812865272? Calculation: 5 Conundrum: What is the hundreds digit of 206899? Calculation: 8 Conundrum: What is the hundreds digit of 704082? Calculation: 0 Conundrum: What is the thousands digit of 69367? Calculation: 9 Conundrum: What is the hundred thousands digit of 34361953? Calculation: 3 Conundrum: What is the hundreds digit of 1356247? Calculation: 2 Conundrum: What is the hundreds digit of 66361? Calculation: 3 Conundrum: What is the millions digit of 554218731? Calculation: 4 Conundrum: What is the thousands digit of 3492? Calculation: 3 Conundrum: What is the hundreds digit of 27379? Calculation: 3 Conundrum: What is the ten millions digit of 942841429? Calculation: 4 Conundrum: What is the hundred thousands digit of 85370523? Calculation: 3 Conundrum: What is the hundreds digit of 2619? Calculation: 6 Conundrum: What is the tens digit of 526904? Calculation: 0 Conundrum: What is the millions digit of 9615504? Calculation: 9 Conundrum: What is the thousands digit of 229193? Calculation: 9 Conundrum: What is the hundred thousands digit of 480461500? Calculation: 4 Conundrum: What is the thousands digit of 21695? Calculation: 1 Conundrum: What is the millions digit of 1151924673? Calculation: 1 Conundrum: What is the tens digit of 3116? Calculation: 1 Conundrum: What is the hundreds digit of 48796620? Calculation: 6 Conundrum: What is the units digit of 639986? Calculation: 6 Conundrum: What is the thousands digit of 131641471? Calculation: 1 Conundrum: What is the thousands digit of 23122? Calculation: 3 Conundrum: What is the hundred thousands digit of 2773654? Calculation: 7 Conundrum: What is the units digit of 5986? Calculation: 6 Conundrum: What is the units digit of 26379? Calcul
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probability: swr p level set ---------------------------- Test item: Calculate prob of picking 4 t when four letters picked without replacement from dddttddtdddddt. Outcome: 1/1001 Test item: Two letters picked without replacement from {c: 9, b: 1, i: 7, j: 1}. Give prob of picking 1 i and 1 j. Outcome: 7/153 Test item: Two letters picked without replacement from mjjcw. What is prob of picking 1 c and 1 w? Outcome: 1/10 Test item: Calculate prob of picking 2 c, 1 j, and 1 y when four letters picked without replacement from mrcmyyyjbybmbcbmc. Outcome: 3/595 Test item: What is prob of picking 2 i when two letters picked without replacement from iii? Outcome: 1 Test item: Three letters picked without replacement from tgnggcbhhcgbcgcgg. Give prob of picking 3 c. Outcome: 1/170 Test item: Two letters picked without replacement from {f: 4, w: 4, q: 5, a: 2}. What is prob of picking 1 w and 1 q? Outcome: 4/21 Test item: Four letters picked without replacement from opppfoyfoppccfcfppc. Give prob of picking 1 f, 1 o, 1 p, and 1 c. Outcome: 28/323 Test item: What is prob of picking 2 t and 1 h when three letters picked without replacement from thttttttthtttttttt? Outcome: 5/17 Test item: Four letters picked without replacement from {u: 7, h: 2, k: 9, g: 1}. Give prob of picking 2 h, 1 u, and 1 k. Outcome: 21/1292 Test item: Two letters picked without replacement from {d: 5, k: 3, u: 5, p: 2}. What is prob of picking 1 p and 1 d? Outcome: 2/21 Test item: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from hssrg. Outcome: 1/5 Test item: Four letters picked without replacement from qmmeteootaoomm. Give prob of picking 1 q, 1 a, and 2 e. Outcome: 1/1001 Test item: What is prob of picking 1 d and 1 g when two letters picked without replacement from {d: 2, g: 9, t: 2}? Outcome: 3/13 Test item: Calculate prob of picking 1 o and 3 g when four letters picked without replacement from ggooggggggo. Outcome: 28/55 Test item: What is prob of picking 2 u a
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arithmetic: nearest integer root -------------------------------- Puzzle: What is 31480532 to the power of 1/9, to the nearest integer? Final Answer: 7 Puzzle: What is the fourth root of 4660573636 to the nearest integer? Final Answer: 261 Puzzle: What is 54203569 to the power of 1/2, to the nearest integer? Final Answer: 7362 Puzzle: What is the square root of 33036 to the nearest integer? Final Answer: 182 Puzzle: What is 8859 to the power of 1/10, to the nearest integer? Final Answer: 2 Puzzle: What is the square root of 107144517 to the nearest integer? Final Answer: 10351 Puzzle: What is the fifth root of 10324 to the nearest integer? Final Answer: 6 Puzzle: What is the square root of 4134114 to the nearest integer? Final Answer: 2033 Puzzle: What is 3734594 to the power of 1/9, to the nearest integer? Final Answer: 5 Puzzle: What is the square root of 13909697 to the nearest integer? Final Answer: 3730 Puzzle: What is the fourth root of 2643 to the nearest integer? Final Answer: 7 Puzzle: What is 344166136 to the power of 1/3, to the nearest integer? Final Answer: 701 Puzzle: What is the square root of 262305 to the nearest integer? Final Answer: 512 Puzzle: What is 7436 to the power of 1/3, to the nearest integer? Final Answer: 20 Puzzle: What is the sixth root of 24249907 to the nearest integer? Final Answer: 17 Puzzle: What is 7387347 to the power of 1/9, to the nearest integer? Final Answer: 6 Puzzle: What is the seventh root of 165690351 to the nearest integer? Final Answer: 15 Puzzle: What is 19647 to the power of 1/3, to the nearest integer? Final Answer: 27 Puzzle: What is 1605980035 to the power of 1/6, to the nearest integer? Final Answer: 34 Puzzle: What is 2722 to the power of 1/3, to the nearest integer? Final Answer: 14 Puzzle: What is the square root of 16426892 to the nearest integer? Final Answer: 4053 Puzzle: What is the fourth root of 599 to the nearest integer? Final Answer: 5 Puzzle: What is 2780421698 to the power of 1/10, to the nearest
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numbers: is prime ----------------- Ask: Is 116976715 prime? Calculation: False Ask: Is 220161 prime? Calculation: False Ask: Is 278489 a prime number? Calculation: True Ask: Is 1623 a composite number? Calculation: True Ask: Is 59803 prime? Calculation: False Ask: Is 13249787 a prime number? Calculation: True Ask: Is 532182689 a composite number? Calculation: True Ask: Is 4725739 composite? Calculation: False Ask: Is 5989126202 a composite number? Calculation: True Ask: Is 27962071 composite? Calculation: False Ask: Is 5398297 prime? Calculation: True Ask: Is 4034001 prime? Calculation: False Ask: Is 92282507 a prime number? Calculation: False Ask: Is 151531 a prime number? Calculation: True Ask: Is 5803747 composite? Calculation: False Ask: Is 4561 prime? Calculation: True Ask: Is 27514240178 composite? Calculation: True Ask: Is 6909247 composite? Calculation: False Ask: Is 379785691 prime? Calculation: False Ask: Is 5321 a composite number? Calculation: True Ask: Is 890231 composite? Calculation: False Ask: Is 11521 composite? Calculation: True Ask: Is 14107 a prime number? Calculation: True Ask: Is 290631233 a composite number? Calculation: False Ask: Is 22046107 a composite number? Calculation: False Ask: Is 1631989 a prime number? Calculation: True Ask: Is 8705 a prime number? Calculation: False Ask: Is 198677863 a composite number? Calculation: False Ask: Is 12064111 a composite number? Calculation: True Ask: Is 19451 composite? Calculation: True Ask: Is 2116476347 a prime number? Calculation: False Ask: Is 2429081 composite? Calculation: True Ask: Is 66295 a prime number? Calculation: False Ask: Is 3233831 a prime number? Calculation: False Ask: Is 31829 a prime number? Calculation: False Ask: Is 2423023661 composite? Calculation: False Ask: Is 18600143449 a prime number? Calculation: True Ask: Is 143095 composite? Calculation: True Ask: Is 8052443 a prime number? Calculation: False Ask: Is 284651 a prime number? Calculation: True Ask: Is 47883457 composite?
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probability: swr p sequence --------------------------- Q): What is prob of sequence nqnc when four letters picked without replacement from {h: 3, p: 1, q: 4, c: 1, n: 5, t: 4}? Key: 1/918 Q): Calculate prob of sequence fssf when four letters picked without replacement from ssssfsssxsxssxxsxsf. Key: 11/3876 Q): What is prob of sequence zzig when four letters picked without replacement from zimgpgpmpizmm? Key: 1/2145 Q): What is prob of sequence sl when two letters picked without replacement from gsrlrlgurgrguglggu? Key: 1/102 Q): Four letters picked without replacement from nnpenzeeninfeie. What is prob of sequence nezf? Key: 5/6552 Q): Calculate prob of sequence dxb when three letters picked without replacement from {d: 3, b: 2, x: 6, a: 1}. Key: 3/110 Q): What is prob of sequence ppp when three letters picked without replacement from jjpjjjjpjpppjpjp? Key: 1/16 Q): Calculate prob of sequence jyyn when four letters picked without replacement from jywyyynyyyyy. Key: 1/165 Q): Three letters picked without replacement from {n: 1, q: 6, l: 1, r: 1}. What is prob of sequence qrl? Key: 1/84 Q): Four letters picked without replacement from {z: 6, m: 2, f: 1, r: 1, j: 3}. Give prob of sequence jfzj. Key: 3/1430 Q): Calculate prob of sequence qia when three letters picked without replacement from {v: 3, f: 2, i: 2, k: 3, a: 3, q: 1}. Key: 1/364 Q): What is prob of sequence qqn when three letters picked without replacement from {q: 6, n: 6}? Key: 3/22 Q): What is prob of sequence dz when two letters picked without replacement from {z: 1, d: 3, u: 5}? Key: 1/24 Q): Calculate prob of sequence tti when three letters picked without replacement from rgrrigttgggg. Key: 1/660 Q): What is prob of sequence ppk when three letters picked without replacement from kyuuupp? Key: 1/105 Q): Calculate prob of sequence xxgg when four letters picked without replacement from {x: 3, g: 15}. Key: 7/408 Q): Calculate prob of sequence dobd when four letters picked without replacement from {d: 3, f:
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numbers: place value -------------------- Math Q: What is the thousands digit of 523328? Explanation: 3 Math Q: What is the tens digit of 140447463? Explanation: 6 Math Q: What is the units digit of 19096519? Explanation: 9 Math Q: What is the thousands digit of 149913? Explanation: 9 Math Q: What is the tens digit of 651465438? Explanation: 3 Math Q: What is the tens digit of 1186? Explanation: 8 Math Q: What is the hundreds digit of 340? Explanation: 3 Math Q: What is the ten thousands digit of 67232? Explanation: 6 Math Q: What is the thousands digit of 9514744? Explanation: 4 Math Q: What is the tens digit of 648? Explanation: 4 Math Q: What is the tens digit of 210? Explanation: 1 Math Q: What is the tens digit of 387239? Explanation: 3 Math Q: What is the ten thousands digit of 17569? Explanation: 1 Math Q: What is the tens digit of 1085738331? Explanation: 3 Math Q: What is the ten millions digit of 43013363? Explanation: 4 Math Q: What is the units digit of 1851? Explanation: 1 Math Q: What is the tens digit of 44862311? Explanation: 1 Math Q: What is the tens digit of 174? Explanation: 7 Math Q: What is the units digit of 833252639? Explanation: 9 Math Q: What is the thousands digit of 2178216? Explanation: 8 Math Q: What is the ten thousands digit of 20777? Explanation: 2 Math Q: What is the hundred thousands digit of 3066713030? Explanation: 7 Math Q: What is the tens digit of 73820? Explanation: 2 Math Q: What is the hundreds digit of 762? Explanation: 7 Math Q: What is the units digit of 281193? Explanation: 3 Math Q: What is the tens digit of 646335? Explanation: 3 Math Q: What is the millions digit of 1210465? Explanation: 1 Math Q: What is the units digit of 1637377577? Explanation: 7 Math Q: What is the ten thousands digit of 293125? Explanation: 9 Math Q: What is the hundreds digit of 8949? Explanation: 9 Math Q: What is the hundreds digit of 761634766? Explanation: 7 Math Q: What is the hundred thousands digit of 740426? Explanation: 7 Math Q: Wha
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measurement: time ----------------- Step: How many minutes are there between 8:25 PM and 1:18 AM? Yields: 293 Step: What is 331 minutes after 10:58 AM? Yields: 4:29 PM Step: How many minutes are there between 1:05 PM and 4:36 PM? Yields: 211 Step: What is 573 minutes before 5:27 PM? Yields: 7:54 AM Step: What is 697 minutes after 9:28 AM? Yields: 9:05 PM Step: How many minutes are there between 5:21 PM and 4:33 AM? Yields: 672 Step: What is 503 minutes after 2:10 PM? Yields: 10:33 PM Step: What is 342 minutes after 7:34 PM? Yields: 1:16 AM Step: How many minutes are there between 12:37 AM and 8:29 AM? Yields: 472 Step: What is 132 minutes before 4:31 PM? Yields: 2:19 PM Step: What is 667 minutes after 8:08 AM? Yields: 7:15 PM Step: What is 11 minutes after 3:21 PM? Yields: 3:32 PM Step: What is 103 minutes before 3:12 PM? Yields: 1:29 PM Step: What is 236 minutes after 4:33 AM? Yields: 8:29 AM Step: What is 175 minutes after 5:32 PM? Yields: 8:27 PM Step: What is 700 minutes after 6:03 PM? Yields: 5:43 AM Step: How many minutes are there between 4:24 PM and 3:33 AM? Yields: 669 Step: How many minutes are there between 12:00 PM and 7:52 PM? Yields: 472 Step: What is 77 minutes after 5:35 PM? Yields: 6:52 PM Step: How many minutes are there between 3:26 PM and 8:24 PM? Yields: 298 Step: What is 331 minutes after 12:34 PM? Yields: 6:05 PM Step: What is 481 minutes before 11:38 AM? Yields: 3:37 AM Step: How many minutes are there between 9:27 PM and 2:59 AM? Yields: 332 Step: What is 110 minutes before 9:03 AM? Yields: 7:13 AM Step: What is 530 minutes before 6:30 AM? Yields: 9:40 PM Step: How many minutes are there between 9:48 AM and 8:57 PM? Yields: 669 Step: What is 605 minutes after 7:22 PM? Yields: 5:27 AM Step: What is 416 minutes before 10:11 AM? Yields: 3:15 AM Step: How many minutes are there between 1:10 AM and 2:10 AM? Yields: 60 Step: What is 203 minutes after 3:25 PM? Yields: 6:48 PM Step: What is 127 minutes after 9:51 AM? Yields: 11:58 AM Step: How many
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measurement: conversion ----------------------- Prompt: How many decades are there in 17/2 of a century? Finding: 85 Prompt: How many months are there in 28/3 of a year? Finding: 112 Prompt: How many centimeters are there in 75223.53mm? Finding: 7522.353 Prompt: What is 17123.1 seconds in minutes? Finding: 285.385 Prompt: What is 145105.5nm in meters? Finding: 0.0001451055 Prompt: Convert 17.66673l to millilitres. Finding: 17666.73 Prompt: How many litres are there in 51677.21 millilitres? Finding: 51.67721 Prompt: What is 11/4 of a litre in millilitres? Finding: 2750 Prompt: How many millimeters are there in 516376.3km? Finding: 516376300000 Prompt: What is fourty-two fifths of a week in minutes? Finding: 84672 Prompt: What is fifty-one quarters of a millennium in decades? Finding: 1275 Prompt: How many millilitres are there in 231443.2l? Finding: 231443200 Prompt: How many hours are there in 2468.3553 microseconds? Finding: 0.00000068565425 Prompt: What is fourty-one halves of a kilometer in meters? Finding: 20500 Prompt: What is five quarters of a litre in millilitres? Finding: 1250 Prompt: What is 25/2 of a micrometer in nanometers? Finding: 12500 Prompt: Convert 0.2293228kg to micrograms. Finding: 229322800 Prompt: Convert 845322.4mm to centimeters. Finding: 84532.24 Prompt: How many millennia are there in 296.58153 months? Finding: 0.0247151275 Prompt: What is 18/5 of a hour in seconds? Finding: 12960 Prompt: What is twenty-one fifths of a litre in millilitres? Finding: 4200 Prompt: How many days are there in 807601.32ns? Finding: 0.0000000093472375 Prompt: How many nanograms are there in 445.8255 milligrams? Finding: 445825500 Prompt: How many nanometers are there in 1/10 of a micrometer? Finding: 100 Prompt: How many seconds are there in twenty-six fifths of a hour? Finding: 18720 Prompt: How many microseconds are there in 6/5 of a millisecond? Finding: 1200 Prompt: What is 907070.8 hours in nanoseconds? Finding: 3265454880000000000 Prompt: Convert 4865.129
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numbers: is prime ----------------- Task: Is 71524969 composite? Result: False Task: Is 42697256533 composite? Result: True Task: Is 10052737 composite? Result: False Task: Is 397047851 a composite number? Result: True Task: Is 506231 prime? Result: False Task: Is 14660584399 a prime number? Result: False Task: Is 205922163 composite? Result: True Task: Is 13799 a prime number? Result: True Task: Is 43619381 prime? Result: False Task: Is 231394277 a composite number? Result: True Task: Is 11798327 composite? Result: False Task: Is 2002324589 a composite number? Result: True Task: Is 2506084541 a prime number? Result: True Task: Is 79316255899 a composite number? Result: False Task: Is 139725314 prime? Result: False Task: Is 85116011 a prime number? Result: True Task: Is 2910357341 a composite number? Result: True Task: Is 318283447 prime? Result: True Task: Is 75542227 a composite number? Result: False Task: Is 1229351 a composite number? Result: False Task: Is 60417239 a composite number? Result: True Task: Is 1112474969 a prime number? Result: False Task: Is 18892985467 prime? Result: True Task: Is 191413 prime? Result: True Task: Is 71619641 prime? Result: False Task: Is 45438649 a composite number? Result: True Task: Is 10048463 a prime number? Result: True Task: Is 31973 a composite number? Result: False Task: Is 3444334189 composite? Result: True Task: Is 1369082139 a composite number? Result: True Task: Is 50340278293 a composite number? Result: True Task: Is 3076013 a prime number? Result: True Task: Is 122810591 composite? Result: False Task: Is 15384654029 a composite number? Result: False Task: Is 6773 prime? Result: False Task: Is 566041 composite? Result: True Task: Is 320167 composite? Result: True Task: Is 1096671767 a prime number? Result: False Task: Is 66653 composite? Result: False Task: Is 423217 a composite number? Result: True Task: Is 1805203891 composite? Result: False Task: Is 9262811 prime? Result: False Task: Is 845839 a composite number?
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probability: swr p level set ---------------------------- Part A: Four letters picked without replacement from {s: 2, b: 12, j: 3}. Give prob of picking 1 s, 1 j, and 2 b. Ans: 99/595 Part A: Four letters picked without replacement from {e: 1, w: 1, i: 4, q: 3, m: 2}. Give prob of picking 1 q, 1 w, 1 e, and 1 m. Ans: 1/55 Part A: What is prob of picking 2 c when two letters picked without replacement from {c: 2, z: 6}? Ans: 1/28 Part A: What is prob of picking 2 b when two letters picked without replacement from bkbkbbbbbrkbbrb? Ans: 3/7 Part A: What is prob of picking 2 e when two letters picked without replacement from {k: 2, e: 6}? Ans: 15/28 Part A: Four letters picked without replacement from ovoohvtzwvotzzvzoo. Give prob of picking 1 w and 3 v. Ans: 1/765 Part A: Calculate prob of picking 2 q when two letters picked without replacement from wqwqwqw. Ans: 1/7 Part A: What is prob of picking 1 h and 1 n when two letters picked without replacement from nnnnnhhnnd? Ans: 14/45 Part A: Two letters picked without replacement from {u: 1, b: 1, s: 1, e: 1, h: 1}. What is prob of picking 1 u and 1 e? Ans: 1/10 Part A: Three letters picked without replacement from {e: 5, z: 1, t: 11}. Give prob of picking 3 e. Ans: 1/68 Part A: What is prob of picking 1 n and 2 h when three letters picked without replacement from {h: 5, n: 14}? Ans: 140/969 Part A: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, j: 2, u: 2}. Ans: 1/15 Part A: Three letters picked without replacement from whwccblchw. Give prob of picking 1 c and 2 h. Ans: 1/40 Part A: Three letters picked without replacement from bffffobfiookkf. What is prob of picking 1 o and 2 b? Ans: 3/364 Part A: Four letters picked without replacement from vssssbba. What is prob of picking 1 v, 2 b, and 1 s? Ans: 2/35 Part A: Three letters picked without replacement from dufduuufdffffd. What is prob of picking 1 d and 2 u? Ans: 6/91 Part A: What is prob of picking 1 c, 1 e, 1 w, and 1 b when four
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arithmetic: nearest integer root -------------------------------- Qn: What is 45619 to the power of 1/2, to the nearest integer? Explanation: 214 Qn: What is the sixth root of 22156 to the nearest integer? Explanation: 5 Qn: What is 487969296 to the power of 1/2, to the nearest integer? Explanation: 22090 Qn: What is 20400 to the power of 1/2, to the nearest integer? Explanation: 143 Qn: What is the fourth root of 272051 to the nearest integer? Explanation: 23 Qn: What is 34950 to the power of 1/6, to the nearest integer? Explanation: 6 Qn: What is the eighth root of 17108 to the nearest integer? Explanation: 3 Qn: What is the eighth root of 791862 to the nearest integer? Explanation: 5 Qn: What is the cube root of 1586567774 to the nearest integer? Explanation: 1166 Qn: What is 869 to the power of 1/9, to the nearest integer? Explanation: 2 Qn: What is 328 to the power of 1/7, to the nearest integer? Explanation: 2 Qn: What is the third root of 629 to the nearest integer? Explanation: 9 Qn: What is 98427 to the power of 1/9, to the nearest integer? Explanation: 4 Qn: What is the cube root of 1261 to the nearest integer? Explanation: 11 Qn: What is the third root of 402050 to the nearest integer? Explanation: 74 Qn: What is the square root of 250 to the nearest integer? Explanation: 16 Qn: What is the cube root of 296558 to the nearest integer? Explanation: 67 Qn: What is the ninth root of 6142 to the nearest integer? Explanation: 3 Qn: What is the third root of 1073 to the nearest integer? Explanation: 10 Qn: What is 112117631 to the power of 1/8, to the nearest integer? Explanation: 10 Qn: What is 6277914 to the power of 1/5, to the nearest integer? Explanation: 23 Qn: What is the square root of 2715969934 to the nearest integer? Explanation: 52115 Qn: What is 12573078 to the power of 1/2, to the nearest integer? Explanation: 3546 Qn: What is the third root of 854296 to the nearest integer? Explanation: 95 Qn: What is the third root of 15312 to the nearest integer
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numbers: gcd ------------ Item: What is the greatest common divisor of 432 and 594? Interpretation: 54 Item: Calculate the highest common divisor of 371 and 159. Interpretation: 53 Item: Calculate the highest common divisor of 3535 and 27326560. Interpretation: 505 Item: Calculate the greatest common divisor of 46 and 28. Interpretation: 2 Item: Calculate the highest common factor of 60 and 28897608. Interpretation: 12 Item: Calculate the greatest common divisor of 6107988 and 168. Interpretation: 12 Item: What is the highest common factor of 14 and 1756818? Interpretation: 14 Item: Calculate the highest common divisor of 207505863 and 153. Interpretation: 9 Item: What is the greatest common divisor of 180 and 4410? Interpretation: 90 Item: Calculate the greatest common factor of 8384 and 128. Interpretation: 64 Item: What is the highest common factor of 1004 and 4? Interpretation: 4 Item: What is the greatest common factor of 430338 and 102? Interpretation: 102 Item: Calculate the highest common factor of 64 and 11278. Interpretation: 2 Item: Calculate the greatest common factor of 1500 and 1668. Interpretation: 12 Item: Calculate the highest common factor of 43806 and 37101. Interpretation: 447 Item: What is the greatest common factor of 93 and 4526? Interpretation: 31 Item: What is the greatest common factor of 16835 and 4417245? Interpretation: 1295 Item: Calculate the highest common factor of 67 and 178421. Interpretation: 67 Item: Calculate the greatest common factor of 545 and 22040. Interpretation: 5 Item: What is the greatest common factor of 2012315 and 5080? Interpretation: 635 Item: What is the highest common factor of 698858 and 212? Interpretation: 106 Item: Calculate the greatest common divisor of 8703 and 45. Interpretation: 9 Item: What is the greatest common divisor of 675 and 1080? Interpretation: 135 Item: What is the greatest common divisor of 44 and 253? Interpretation: 11 Item: Calculate the highest common factor of 36 and 25759364. Interpreta
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probability: swr p level set ---------------------------- Example: Calculate prob of picking 1 q and 2 j when three letters picked without replacement from {q: 3, j: 3, c: 3, k: 1}. Key: 3/40 Example: What is prob of picking 1 h and 2 i when three letters picked without replacement from ihhiihihhwiwhihi? Key: 21/80 Example: Three letters picked without replacement from ooboobobbooffbodbo. What is prob of picking 2 o and 1 d? Key: 3/68 Example: Calculate prob of picking 2 j when two letters picked without replacement from jjjy. Key: 1/2 Example: What is prob of picking 1 o and 2 b when three letters picked without replacement from ooooboobooooobbb? Key: 11/56 Example: What is prob of picking 2 a and 1 s when three letters picked without replacement from {m: 3, f: 2, a: 2, n: 9, s: 3}? Key: 1/323 Example: What is prob of picking 1 q and 1 k when two letters picked without replacement from hqskk? Key: 1/5 Example: Four letters picked without replacement from uwwwwu. Give prob of picking 2 w and 2 u. Key: 2/5 Example: What is prob of picking 3 k and 1 x when four letters picked without replacement from xvvkxcvjxvcvvvkxck? Key: 1/765 Example: What is prob of picking 2 g when two letters picked without replacement from {g: 7, h: 3}? Key: 7/15 Example: Two letters picked without replacement from {x: 2, u: 7}. Give prob of picking 2 u. Key: 7/12 Example: What is prob of picking 3 g when three letters picked without replacement from {j: 1, w: 1, e: 4, g: 2, k: 2}? Key: 0 Example: Four letters picked without replacement from {y: 1, z: 19}. Give prob of picking 4 z. Key: 4/5 Example: Two letters picked without replacement from {n: 2, d: 1}. Give prob of picking 1 d and 1 n. Key: 2/3 Example: Two letters picked without replacement from eedpdeddeppdpe. Give prob of picking 2 d. Key: 10/91 Example: Calculate prob of picking 1 z, 1 l, 1 h, and 1 w when four letters picked without replacement from ghlllwlzl. Key: 5/126 Example: Four letters picked without replacement from lallaaaaa
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probability: swr p level set ---------------------------- Prompt: Two letters picked without replacement from ztzzfzpfftzztfpzz. What is prob of picking 1 z and 1 t? Thus: 3/17 Prompt: Two letters picked without replacement from {v: 3, e: 1, m: 10, a: 2}. What is prob of picking 1 e and 1 v? Thus: 1/40 Prompt: Two letters picked without replacement from pwwwk. What is prob of picking 1 w and 1 k? Thus: 3/10 Prompt: Two letters picked without replacement from trdrrectrte. What is prob of picking 2 r? Thus: 6/55 Prompt: Calculate prob of picking 1 y, 1 o, and 1 x when three letters picked without replacement from {y: 2, x: 1, d: 4, o: 2}. Thus: 1/21 Prompt: What is prob of picking 1 g, 1 n, and 2 u when four letters picked without replacement from {u: 2, j: 6, l: 1, g: 2, n: 1}? Thus: 2/495 Prompt: Calculate prob of picking 3 p when three letters picked without replacement from {o: 7, p: 3}. Thus: 1/120 Prompt: Four letters picked without replacement from qqqqqqvqvv. What is prob of picking 4 q? Thus: 1/6 Prompt: Three letters picked without replacement from eeeeeeeaeaeeeaeeaeee. Give prob of picking 1 a and 2 e. Thus: 8/19 Prompt: Two letters picked without replacement from {m: 3, f: 3, a: 7, p: 1, g: 2, k: 1}. Give prob of picking 2 a. Thus: 21/136 Prompt: What is prob of picking 1 e and 1 u when two letters picked without replacement from {d: 4, u: 6, e: 2}? Thus: 2/11 Prompt: Calculate prob of picking 2 h when two letters picked without replacement from hhhdxhdx. Thus: 3/14 Prompt: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from dip. Thus: 1/3 Prompt: Two letters picked without replacement from {j: 7, b: 3, z: 4}. What is prob of picking 2 z? Thus: 6/91 Prompt: What is prob of picking 2 z when two letters picked without replacement from ttzttttzttttttzt? Thus: 1/40 Prompt: What is prob of picking 2 z when two letters picked without replacement from {z: 3, j: 3}? Thus: 1/5 Prompt: What is prob of picking 1 c and 1 u when two l
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numbers: div remainder ---------------------- Input: Calculate the remainder when 1629417 is divided by 868. Derivation: 181 Input: What is the remainder when 4736 is divided by 156? Derivation: 56 Input: What is the remainder when 69674 is divided by 29? Derivation: 16 Input: Calculate the remainder when 10024 is divided by 1446. Derivation: 1348 Input: What is the remainder when 6379203 is divided by 3189591? Derivation: 21 Input: Calculate the remainder when 89889 is divided by 681. Derivation: 678 Input: Calculate the remainder when 818710 is divided by 86. Derivation: 76 Input: What is the remainder when 63552 is divided by 48? Derivation: 0 Input: Calculate the remainder when 26540 is divided by 5303. Derivation: 25 Input: What is the remainder when 520 is divided by 51? Derivation: 10 Input: Calculate the remainder when 10646670 is divided by 1175. Derivation: 1170 Input: What is the remainder when 28104803 is divided by 1794? Derivation: 1793 Input: Calculate the remainder when 88 is divided by 23. Derivation: 19 Input: Calculate the remainder when 76019 is divided by 25217. Derivation: 368 Input: What is the remainder when 576 is divided by 252? Derivation: 72 Input: What is the remainder when 9495 is divided by 69? Derivation: 42 Input: Calculate the remainder when 3137 is divided by 241. Derivation: 4 Input: What is the remainder when 1069 is divided by 972? Derivation: 97 Input: What is the remainder when 2658 is divided by 127? Derivation: 118 Input: What is the remainder when 80108 is divided by 82? Derivation: 76 Input: What is the remainder when 289015 is divided by 56? Derivation: 55 Input: Calculate the remainder when 29894055 is divided by 40. Derivation: 15 Input: Calculate the remainder when 3289694 is divided by 548271. Derivation: 68 Input: Calculate the remainder when 857 is divided by 44. Derivation: 21 Input: Calculate the remainder when 7972 is divided by 5848. Derivation: 2124 Input: Calculate the remainder when 73 is divided by 10. Deriv
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numbers: place value -------------------- Given: What is the thousands digit of 46853079? Result: 3 Given: What is the units digit of 606? Result: 6 Given: What is the hundred thousands digit of 211830? Result: 2 Given: What is the tens digit of 178930? Result: 3 Given: What is the tens digit of 59? Result: 5 Given: What is the ten thousands digit of 18739322? Result: 3 Given: What is the units digit of 1732622? Result: 2 Given: What is the tens digit of 5732565002? Result: 0 Given: What is the units digit of 36497? Result: 7 Given: What is the tens digit of 9261578? Result: 7 Given: What is the hundred thousands digit of 4366731? Result: 3 Given: What is the units digit of 8466? Result: 6 Given: What is the thousands digit of 3689? Result: 3 Given: What is the thousands digit of 1036? Result: 1 Given: What is the hundreds digit of 110? Result: 1 Given: What is the hundred thousands digit of 78123959? Result: 1 Given: What is the millions digit of 2841832718? Result: 1 Given: What is the ten thousands digit of 26033? Result: 2 Given: What is the tens digit of 9077? Result: 7 Given: What is the ten thousands digit of 6993419? Result: 9 Given: What is the hundred millions digit of 119930053? Result: 1 Given: What is the units digit of 1361964? Result: 4 Given: What is the hundred thousands digit of 78511551? Result: 5 Given: What is the ten thousands digit of 222847? Result: 2 Given: What is the units digit of 1408? Result: 8 Given: What is the tens digit of 1391420259? Result: 5 Given: What is the hundreds digit of 2507? Result: 5 Given: What is the hundred thousands digit of 533305059? Result: 3 Given: What is the thousands digit of 9565? Result: 9 Given: What is the hundred thousands digit of 24680002? Result: 6 Given: What is the thousands digit of 144391407? Result: 1 Given: What is the hundred millions digit of 347848468? Result: 3 Given: What is the tens digit of 2093? Result: 9 Given: What is the tens digit of 1320? Result: 2 Given: What is the ten thousands d
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numbers: place value -------------------- Test item: What is the ten thousands digit of 138665? A: 3 Test item: What is the units digit of 2242504? A: 4 Test item: What is the ten millions digit of 3951659278? A: 5 Test item: What is the hundred thousands digit of 974034? A: 9 Test item: What is the millions digit of 4179744? A: 4 Test item: What is the tens digit of 48552? A: 5 Test item: What is the units digit of 72? A: 2 Test item: What is the tens digit of 2858? A: 5 Test item: What is the units digit of 268? A: 8 Test item: What is the tens digit of 79208? A: 0 Test item: What is the tens digit of 251602? A: 0 Test item: What is the hundreds digit of 1992? A: 9 Test item: What is the thousands digit of 988750? A: 8 Test item: What is the tens digit of 9504130? A: 3 Test item: What is the tens digit of 1842? A: 4 Test item: What is the hundreds digit of 559158? A: 1 Test item: What is the ten thousands digit of 54536? A: 5 Test item: What is the tens digit of 34054489? A: 8 Test item: What is the units digit of 900? A: 0 Test item: What is the thousands digit of 1494? A: 1 Test item: What is the tens digit of 949805250? A: 5 Test item: What is the thousands digit of 69262? A: 9 Test item: What is the ten thousands digit of 1960437? A: 6 Test item: What is the units digit of 846455? A: 5 Test item: What is the ten thousands digit of 1280772? A: 8 Test item: What is the hundred thousands digit of 15732648? A: 7 Test item: What is the thousands digit of 151958? A: 1 Test item: What is the hundred thousands digit of 364575? A: 3 Test item: What is the tens digit of 74201957? A: 5 Test item: What is the ten thousands digit of 992856? A: 9 Test item: What is the hundreds digit of 225063? A: 0 Test item: What is the thousands digit of 1007? A: 1 Test item: What is the ten millions digit of 53918361? A: 5 Test item: What is the hundred thousands digit of 92146270? A: 1 Test item: What is the hundred thousands digit of 13588454? A: 5 Test item: What is the hundreds digi
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numbers: place value -------------------- Step: What is the units digit of 2495? Therefore: 5 Step: What is the hundreds digit of 9579? Therefore: 5 Step: What is the millions digit of 5226487? Therefore: 5 Step: What is the tens digit of 5539139? Therefore: 3 Step: What is the thousands digit of 2068? Therefore: 2 Step: What is the ten thousands digit of 159587391? Therefore: 8 Step: What is the ten thousands digit of 4444887? Therefore: 4 Step: What is the hundreds digit of 611? Therefore: 6 Step: What is the thousands digit of 1111? Therefore: 1 Step: What is the units digit of 7007? Therefore: 7 Step: What is the hundreds digit of 845082? Therefore: 0 Step: What is the hundreds digit of 694? Therefore: 6 Step: What is the tens digit of 776260333? Therefore: 3 Step: What is the hundreds digit of 19232695? Therefore: 6 Step: What is the hundred millions digit of 1113295213? Therefore: 1 Step: What is the thousands digit of 3949098? Therefore: 9 Step: What is the units digit of 393861? Therefore: 1 Step: What is the units digit of 758646? Therefore: 6 Step: What is the tens digit of 11281878? Therefore: 7 Step: What is the units digit of 104534? Therefore: 4 Step: What is the thousands digit of 5183078787? Therefore: 8 Step: What is the hundred thousands digit of 108968? Therefore: 1 Step: What is the ten millions digit of 98225802? Therefore: 9 Step: What is the hundred thousands digit of 232432? Therefore: 2 Step: What is the thousands digit of 28599759? Therefore: 9 Step: What is the ten millions digit of 33787510? Therefore: 3 Step: What is the ten thousands digit of 5688323734? Therefore: 2 Step: What is the thousands digit of 1545437? Therefore: 5 Step: What is the hundreds digit of 23321? Therefore: 3 Step: What is the tens digit of 60274762? Therefore: 6 Step: What is the ten millions digit of 1311931060? Therefore: 1 Step: What is the hundreds digit of 17196? Therefore: 1 Step: What is the units digit of 10728673? Therefore: 3 Step: What is the hundred tho
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measurement: time ----------------- Test item: How many minutes are there between 4:28 PM and 3:44 AM? Soln: 676 Test item: What is 145 minutes after 4:38 PM? Soln: 7:03 PM Test item: How many minutes are there between 2:32 PM and 12:19 AM? Soln: 587 Test item: How many minutes are there between 12:28 AM and 1:10 AM? Soln: 42 Test item: What is 328 minutes before 11:51 AM? Soln: 6:23 AM Test item: How many minutes are there between 5:36 AM and 6:12 AM? Soln: 36 Test item: What is 231 minutes before 7:12 AM? Soln: 3:21 AM Test item: How many minutes are there between 9:28 AM and 9:22 PM? Soln: 714 Test item: How many minutes are there between 12:29 AM and 12:38 AM? Soln: 9 Test item: How many minutes are there between 4:35 PM and 11:17 PM? Soln: 402 Test item: How many minutes are there between 6:23 AM and 12:04 PM? Soln: 341 Test item: What is 195 minutes before 7:38 AM? Soln: 4:23 AM Test item: How many minutes are there between 2:04 PM and 11:20 PM? Soln: 556 Test item: How many minutes are there between 3:32 AM and 9:59 AM? Soln: 387 Test item: How many minutes are there between 8:03 PM and 8:05 PM? Soln: 2 Test item: How many minutes are there between 8:06 AM and 3:31 PM? Soln: 445 Test item: How many minutes are there between 12:19 PM and 12:08 AM? Soln: 709 Test item: How many minutes are there between 9:32 PM and 6:51 AM? Soln: 559 Test item: How many minutes are there between 2:03 AM and 10:28 AM? Soln: 505 Test item: What is 517 minutes after 10:52 PM? Soln: 7:29 AM Test item: How many minutes are there between 2:43 AM and 12:35 PM? Soln: 592 Test item: How many minutes are there between 4:40 AM and 8:31 AM? Soln: 231 Test item: What is 289 minutes before 12:43 AM? Soln: 7:54 PM Test item: How many minutes are there between 5:52 PM and 5:47 AM? Soln: 715 Test item: How many minutes are there between 6:12 AM and 10:49 AM? Soln: 277 Test item: What is 341 minutes before 8:22 AM? Soln: 2:41 AM Test item: How many minutes are there between 10:28 PM and 8:33 AM?
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numbers: is prime ----------------- Given: Is 3831573423 composite? Yields: True Given: Is 760396229 composite? Yields: False Given: Is 112165 a composite number? Yields: True Given: Is 31359 prime? Yields: False Given: Is 1715838863 prime? Yields: False Given: Is 787921 prime? Yields: False Given: Is 1981576343 a prime number? Yields: True Given: Is 99017 a prime number? Yields: True Given: Is 8699946077 a composite number? Yields: False Given: Is 534592313 composite? Yields: True Given: Is 7876067 a composite number? Yields: True Given: Is 45495913 prime? Yields: True Given: Is 316530683305 prime? Yields: False Given: Is 2823 prime? Yields: False Given: Is 12067 a prime number? Yields: False Given: Is 169202487 a composite number? Yields: True Given: Is 523717 a composite number? Yields: False Given: Is 231169 a prime number? Yields: True Given: Is 470231595137 prime? Yields: False Given: Is 3857559 a composite number? Yields: True Given: Is 13331966693 a prime number? Yields: False Given: Is 3989 prime? Yields: True Given: Is 142687 a composite number? Yields: True Given: Is 736577 composite? Yields: False Given: Is 24815303 a prime number? Yields: True Given: Is 102327461 composite? Yields: False Given: Is 523169 prime? Yields: True Given: Is 695351 a prime number? Yields: False Given: Is 219863612081 prime? Yields: False Given: Is 593202559 composite? Yields: False Given: Is 223286089 a composite number? Yields: True Given: Is 215988559 prime? Yields: True Given: Is 49698041 a prime number? Yields: True Given: Is 4257947 composite? Yields: True Given: Is 67604933 a composite number? Yields: True Given: Is 14533 composite? Yields: False Given: Is 14504390863 a prime number? Yields: True Given: Is 11062445803 prime? Yields: True Given: Is 1367 prime? Yields: True Given: Is 28959470723 a composite number? Yields: False Given: Is 2201273 a composite number? Yields: False Given: Is 26281110851 prime? Yields: True Given: Is 113627471127 composite? Yields: True Given:
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numbers: place value -------------------- Question: What is the ten millions digit of 310612286? Fix: 1 Question: What is the thousands digit of 917309? Fix: 7 Question: What is the millions digit of 2376163? Fix: 2 Question: What is the millions digit of 15758284? Fix: 5 Question: What is the ten thousands digit of 40001? Fix: 4 Question: What is the thousands digit of 4067415? Fix: 7 Question: What is the hundreds digit of 928558668? Fix: 6 Question: What is the hundreds digit of 210971885? Fix: 8 Question: What is the units digit of 8325? Fix: 5 Question: What is the tens digit of 1668? Fix: 6 Question: What is the units digit of 68140566? Fix: 6 Question: What is the hundred thousands digit of 68527098? Fix: 5 Question: What is the units digit of 6232? Fix: 2 Question: What is the millions digit of 6311356? Fix: 6 Question: What is the millions digit of 2310584? Fix: 2 Question: What is the tens digit of 506? Fix: 0 Question: What is the hundreds digit of 872? Fix: 8 Question: What is the hundreds digit of 4684051776? Fix: 7 Question: What is the units digit of 10111? Fix: 1 Question: What is the ten thousands digit of 141062118? Fix: 6 Question: What is the hundred thousands digit of 2550599? Fix: 5 Question: What is the hundreds digit of 385885? Fix: 8 Question: What is the hundreds digit of 16309? Fix: 3 Question: What is the billions digit of 1112939259? Fix: 1 Question: What is the tens digit of 22871? Fix: 7 Question: What is the ten thousands digit of 1701146870? Fix: 4 Question: What is the thousands digit of 1240? Fix: 1 Question: What is the units digit of 40703? Fix: 3 Question: What is the units digit of 2178? Fix: 8 Question: What is the thousands digit of 2230? Fix: 2 Question: What is the units digit of 1309? Fix: 9 Question: What is the hundreds digit of 33522? Fix: 5 Question: What is the ten millions digit of 4083346631? Fix: 8 Question: What is the thousands digit of 3848272974? Fix: 2 Question: What is the millions digit of 1029946636? Fix: 9
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numbers: is factor ------------------ Step: Does 542 divide 1010452905? Resolution: False Step: Does 834 divide 143344749? Resolution: False Step: Is 328284 a multiple of 17? Resolution: False Step: Does 48 divide 61791? Resolution: False Step: Does 4 divide 192? Resolution: True Step: Is 37488 a multiple of 88? Resolution: True Step: Does 15 divide 36233? Resolution: False Step: Is 1702 a multiple of 23? Resolution: True Step: Does 646 divide 70953860? Resolution: False Step: Does 7 divide 296? Resolution: False Step: Is 12903 a multiple of 11? Resolution: True Step: Does 7 divide 6699? Resolution: True Step: Is 162888 a multiple of 4? Resolution: True Step: Is 9 a factor of 743112? Resolution: True Step: Does 11 divide 7744? Resolution: True Step: Is 13 a factor of 67626? Resolution: True Step: Is 17067 a multiple of 92? Resolution: False Step: Does 34 divide 9894? Resolution: True Step: Does 4190 divide 1700172797? Resolution: False Step: Is 14056 a multiple of 56? Resolution: True Step: Is 5366223 a multiple of 8? Resolution: False Step: Is 19300780 a multiple of 289? Resolution: False Step: Is 17146168 a multiple of 274? Resolution: False Step: Does 75 divide 1021200? Resolution: True Step: Is 479 a factor of 3132290? Resolution: False Step: Is 27328500 a multiple of 450? Resolution: True Step: Is 9 a factor of 56493549? Resolution: True Step: Is 25 a factor of 91975? Resolution: True Step: Is 103713 a multiple of 20? Resolution: False Step: Does 22 divide 410268683? Resolution: False Step: Is 5 a factor of 27018? Resolution: False Step: Is 549604813 a multiple of 97? Resolution: True Step: Is 3589725 a multiple of 15? Resolution: True Step: Is 58 a factor of 45066? Resolution: True Step: Is 789864 a multiple of 3? Resolution: True Step: Is 134976 a multiple of 192? Resolution: True Step: Does 17 divide 220813? Resolution: True Step: Is 2142 a multiple of 34? Resolution: True Step: Does 303 divide 18419067? Resolution: True Step: Does 58 divide 464? Resolution:
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numbers: div remainder ---------------------- Problem Statement: Calculate the remainder when 329 is divided by 230. Math A: 99 Problem Statement: What is the remainder when 1782 is divided by 1765? Math A: 17 Problem Statement: What is the remainder when 105 is divided by 25? Math A: 5 Problem Statement: What is the remainder when 3032778 is divided by 1905? Math A: 18 Problem Statement: What is the remainder when 25517 is divided by 948? Math A: 869 Problem Statement: Calculate the remainder when 389 is divided by 10. Math A: 9 Problem Statement: Calculate the remainder when 2464 is divided by 73. Math A: 55 Problem Statement: Calculate the remainder when 968238 is divided by 490. Math A: 488 Problem Statement: What is the remainder when 809 is divided by 160? Math A: 9 Problem Statement: Calculate the remainder when 408 is divided by 32. Math A: 24 Problem Statement: What is the remainder when 11418 is divided by 21? Math A: 15 Problem Statement: Calculate the remainder when 50 is divided by 25. Math A: 0 Problem Statement: Calculate the remainder when 5294 is divided by 5239. Math A: 55 Problem Statement: What is the remainder when 30163 is divided by 836? Math A: 67 Problem Statement: Calculate the remainder when 207 is divided by 16. Math A: 15 Problem Statement: Calculate the remainder when 10184 is divided by 3371. Math A: 71 Problem Statement: Calculate the remainder when 182 is divided by 24. Math A: 14 Problem Statement: Calculate the remainder when 3980 is divided by 111. Math A: 95 Problem Statement: What is the remainder when 348 is divided by 13? Math A: 10 Problem Statement: Calculate the remainder when 4638 is divided by 35. Math A: 18 Problem Statement: Calculate the remainder when 30799 is divided by 101. Math A: 95 Problem Statement: What is the remainder when 2411 is divided by 97? Math A: 83 Problem Statement: What is the remainder when 13540429 is divided by 265498? Math A: 31 Problem Statement: Calculate the remainder when 599 is divided by 1
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numbers: is prime ----------------- Test item: Is 6995 a composite number? Fix: True Test item: Is 593867 a prime number? Fix: False Test item: Is 426166537 prime? Fix: True Test item: Is 10319591 prime? Fix: False Test item: Is 15727 a prime number? Fix: True Test item: Is 591493 prime? Fix: False Test item: Is 233870999 prime? Fix: True Test item: Is 2320429 a prime number? Fix: False Test item: Is 154928245103 composite? Fix: False Test item: Is 1858936039 composite? Fix: False Test item: Is 318823 a composite number? Fix: False Test item: Is 85469 prime? Fix: True Test item: Is 42120179 prime? Fix: True Test item: Is 308047921 a prime number? Fix: False Test item: Is 4687051 prime? Fix: True Test item: Is 2235061 prime? Fix: False Test item: Is 2128111 a prime number? Fix: False Test item: Is 3262659 composite? Fix: True Test item: Is 121393 a prime number? Fix: False Test item: Is 398516511 composite? Fix: True Test item: Is 1779923 composite? Fix: True Test item: Is 40343 prime? Fix: True Test item: Is 1057338431 prime? Fix: False Test item: Is 86711 prime? Fix: True Test item: Is 12696373 a prime number? Fix: False Test item: Is 4062691 composite? Fix: True Test item: Is 61315 a prime number? Fix: False Test item: Is 28349 a composite number? Fix: False Test item: Is 5042707 a composite number? Fix: False Test item: Is 38543 a prime number? Fix: True Test item: Is 5471567 prime? Fix: True Test item: Is 21286211 prime? Fix: False Test item: Is 41642369 composite? Fix: False Test item: Is 5151253 a composite number? Fix: False Test item: Is 179857 a prime number? Fix: False Test item: Is 178469 composite? Fix: False Test item: Is 10136540939 a composite number? Fix: True Test item: Is 33379763 a prime number? Fix: True Test item: Is 6307993 prime? Fix: False Test item: Is 359939 composite? Fix: True Test item: Is 5999153 a composite number? Fix: True Test item: Is 556883 a prime number? Fix: True Test item: Is 1452527341 prime? Fix: True Test item: Is 86399 a c
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numbers: is prime ----------------- Task: Is 263076129167 composite? Finding: False Task: Is 26539 composite? Finding: False Task: Is 892951 prime? Finding: True Task: Is 618089737 a composite number? Finding: False Task: Is 1071678977 a composite number? Finding: True Task: Is 89437 a composite number? Finding: True Task: Is 12631932727 composite? Finding: False Task: Is 30737 prime? Finding: False Task: Is 167147 prime? Finding: False Task: Is 2505429037 a composite number? Finding: False Task: Is 70488173 a prime number? Finding: False Task: Is 8597 prime? Finding: True Task: Is 13615695371 composite? Finding: True Task: Is 13309 a composite number? Finding: False Task: Is 48857 composite? Finding: False Task: Is 1093444421 prime? Finding: False Task: Is 97459 prime? Finding: True Task: Is 39790823 a composite number? Finding: False Task: Is 908981947 a composite number? Finding: False Task: Is 2881 a composite number? Finding: True Task: Is 2127 a composite number? Finding: True Task: Is 22084639 composite? Finding: False Task: Is 16325269 a composite number? Finding: False Task: Is 422039627 composite? Finding: True Task: Is 399904919 composite? Finding: False Task: Is 157142309 prime? Finding: True Task: Is 385394 a prime number? Finding: False Task: Is 3343 a prime number? Finding: True Task: Is 26861 composite? Finding: False Task: Is 30346881079 composite? Finding: False Task: Is 896359091 a composite number? Finding: True Task: Is 85 a composite number? Finding: True Task: Is 66571 a prime number? Finding: True Task: Is 132188885 a prime number? Finding: False Task: Is 2495 a prime number? Finding: False Task: Is 972641 a prime number? Finding: False Task: Is 490421003 a composite number? Finding: False Task: Is 1859569 a composite number? Finding: False Task: Is 958 a composite number? Finding: True Task: Is 633739 composite? Finding: False Task: Is 1944780583 a composite number? Finding: True Task: Is 2249644679 prime? Finding: False Task: Is 30059 compo
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numbers: is factor ------------------ Exercise: Does 4122 divide 197752950? Resolution: True Exercise: Does 1452 divide 1902923? Resolution: False Exercise: Is 123 a factor of 403194? Resolution: True Exercise: Is 34706 a multiple of 61? Resolution: False Exercise: Is 7877 a factor of 1602654420? Resolution: True Exercise: Is 13 a factor of 981? Resolution: False Exercise: Is 6 a factor of 124750? Resolution: False Exercise: Is 69 a factor of 9789720? Resolution: True Exercise: Is 26160 a multiple of 48? Resolution: True Exercise: Does 73 divide 73? Resolution: True Exercise: Is 9785754 a multiple of 121? Resolution: True Exercise: Is 39228 a multiple of 6? Resolution: True Exercise: Does 14 divide 1489? Resolution: False Exercise: Is 3 a factor of 207320940? Resolution: True Exercise: Is 27658 a multiple of 21? Resolution: False Exercise: Does 3222 divide 50154495? Resolution: False Exercise: Is 2151 a multiple of 35? Resolution: False Exercise: Is 7 a factor of 728? Resolution: True Exercise: Does 94 divide 81404? Resolution: True Exercise: Is 9 a factor of 13806? Resolution: True Exercise: Is 53030534 a multiple of 13? Resolution: False Exercise: Does 106 divide 1410753312? Resolution: False Exercise: Is 91 a factor of 107236060? Resolution: False Exercise: Does 22 divide 1284? Resolution: False Exercise: Is 134 a factor of 84018? Resolution: True Exercise: Is 112752440 a multiple of 920? Resolution: True Exercise: Is 117025 a multiple of 38? Resolution: False Exercise: Is 433925 a multiple of 425? Resolution: True Exercise: Is 57841797 a multiple of 223? Resolution: False Exercise: Does 78 divide 135879198? Resolution: True Exercise: Is 38 a factor of 105108? Resolution: True Exercise: Does 364 divide 1291277? Resolution: False Exercise: Does 5 divide 224? Resolution: False Exercise: Is 314 a factor of 3840? Resolution: False Exercise: Does 19 divide 1591? Resolution: False Exercise: Is 239 a factor of 272128852? Resolution: False Exercise: Does 1916 divide 1066
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probability: swr p sequence --------------------------- Exercise: What is prob of sequence gw when two letters picked without replacement from {g: 3, r: 1, w: 2, y: 1, i: 3}? Solution: 1/15 Exercise: Three letters picked without replacement from {w: 1, s: 1, b: 2, m: 1, t: 4}. Give prob of sequence bwb. Solution: 1/252 Exercise: What is prob of sequence db when two letters picked without replacement from sbdgssdnsssddsg? Solution: 2/105 Exercise: Four letters picked without replacement from {x: 3, m: 12}. Give prob of sequence xxmm. Solution: 11/455 Exercise: Calculate prob of sequence lttx when four letters picked without replacement from {x: 1, l: 3, t: 3}. Solution: 3/140 Exercise: Calculate prob of sequence nxy when three letters picked without replacement from nyxxyynwnyqyxyywywn. Solution: 16/969 Exercise: Two letters picked without replacement from {m: 3, j: 5, x: 3, o: 2}. What is prob of sequence mm? Solution: 1/26 Exercise: What is prob of sequence hhh when three letters picked without replacement from {m: 5, q: 4, s: 2, h: 7}? Solution: 35/816 Exercise: What is prob of sequence mto when three letters picked without replacement from ymlolymymmtjmmooommy? Solution: 4/855 Exercise: Calculate prob of sequence totk when four letters picked without replacement from kptwoooowowktkot. Solution: 9/3640 Exercise: What is prob of sequence nvm when three letters picked without replacement from {w: 1, m: 1, k: 2, n: 1, s: 1, v: 2}? Solution: 1/168 Exercise: Calculate prob of sequence rww when three letters picked without replacement from {w: 4, p: 3, r: 1}. Solution: 1/28 Exercise: Three letters picked without replacement from {e: 1, c: 1, s: 4, z: 2, v: 1, n: 3}. What is prob of sequence zsc? Solution: 1/165 Exercise: Calculate prob of sequence hddd when four letters picked without replacement from {n: 4, j: 2, h: 1, d: 3, k: 1}. Solution: 1/1320 Exercise: Calculate prob of sequence zn when two letters picked without replacement from {q: 2, p: 1, a: 5, z: 1, n: 1}. S
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measurement: time ----------------- Math Q: What is 402 minutes before 2:44 PM? Response: 8:02 AM Math Q: How many minutes are there between 4:28 AM and 4:27 PM? Response: 719 Math Q: How many minutes are there between 2:37 AM and 3:15 AM? Response: 38 Math Q: What is 708 minutes before 7:14 PM? Response: 7:26 AM Math Q: What is 166 minutes before 3:28 PM? Response: 12:42 PM Math Q: What is 107 minutes after 1:19 AM? Response: 3:06 AM Math Q: How many minutes are there between 11:01 AM and 11:45 AM? Response: 44 Math Q: How many minutes are there between 8:34 PM and 4:39 AM? Response: 485 Math Q: How many minutes are there between 1:59 AM and 7:02 AM? Response: 303 Math Q: How many minutes are there between 10:01 AM and 3:42 PM? Response: 341 Math Q: What is 636 minutes before 7:31 AM? Response: 8:55 PM Math Q: How many minutes are there between 5:02 AM and 1:27 PM? Response: 505 Math Q: How many minutes are there between 5:49 PM and 9:11 PM? Response: 202 Math Q: What is 186 minutes after 10:22 PM? Response: 1:28 AM Math Q: How many minutes are there between 4:35 AM and 4:29 PM? Response: 714 Math Q: How many minutes are there between 2:25 AM and 11:45 AM? Response: 560 Math Q: How many minutes are there between 12:13 PM and 4:43 PM? Response: 270 Math Q: What is 77 minutes after 10:04 PM? Response: 11:21 PM Math Q: How many minutes are there between 4:45 PM and 11:29 PM? Response: 404 Math Q: What is 250 minutes before 5:07 AM? Response: 12:57 AM Math Q: What is 71 minutes before 11:01 PM? Response: 9:50 PM Math Q: How many minutes are there between 4:58 PM and 4:02 AM? Response: 664 Math Q: What is 678 minutes after 2:23 AM? Response: 1:41 PM Math Q: How many minutes are there between 6:19 AM and 9:24 AM? Response: 185 Math Q: What is 546 minutes before 8:05 AM? Response: 10:59 PM Math Q: What is 660 minutes before 10:23 AM? Response: 11:23 PM Math Q: How many minutes are there between 8:34 PM and 4:13 AM? Response: 459 Math Q: What is 265 minutes after 12:58 PM?
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numbers: div remainder ---------------------- Part A: Calculate the remainder when 6735 is divided by 23. Response: 19 Part A: What is the remainder when 54 is divided by 3? Response: 0 Part A: Calculate the remainder when 6240 is divided by 405. Response: 165 Part A: What is the remainder when 1048 is divided by 25? Response: 23 Part A: What is the remainder when 416334 is divided by 3589? Response: 10 Part A: Calculate the remainder when 18855 is divided by 6275. Response: 30 Part A: Calculate the remainder when 5938 is divided by 376. Response: 298 Part A: What is the remainder when 4314 is divided by 46? Response: 36 Part A: Calculate the remainder when 37369 is divided by 136. Response: 105 Part A: Calculate the remainder when 124 is divided by 3. Response: 1 Part A: Calculate the remainder when 39236605 is divided by 481. Response: 473 Part A: What is the remainder when 185 is divided by 21? Response: 17 Part A: Calculate the remainder when 61424 is divided by 16. Response: 0 Part A: What is the remainder when 1892735 is divided by 523? Response: 521 Part A: What is the remainder when 68320 is divided by 25? Response: 20 Part A: What is the remainder when 193 is divided by 61? Response: 10 Part A: What is the remainder when 304992 is divided by 304990? Response: 2 Part A: What is the remainder when 1429445 is divided by 165? Response: 50 Part A: What is the remainder when 407 is divided by 16? Response: 7 Part A: What is the remainder when 1075 is divided by 53? Response: 15 Part A: What is the remainder when 64276049 is divided by 23? Response: 19 Part A: What is the remainder when 2005 is divided by 22? Response: 3 Part A: Calculate the remainder when 19388 is divided by 19349. Response: 39 Part A: Calculate the remainder when 2354 is divided by 754. Response: 92 Part A: What is the remainder when 538 is divided by 18? Response: 16 Part A: What is the remainder when 2725011 is divided by 113542? Response: 3 Part A: Calculate the remainder when 34312 is divid
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probability: swr p sequence --------------------------- Let: Four letters picked without replacement from {s: 1, w: 2, t: 1, q: 1, c: 2, z: 1}. Give prob of sequence wcqs. Answer: 1/420 Let: Three letters picked without replacement from {o: 2, b: 2, m: 2}. What is prob of sequence bmo? Answer: 1/15 Let: Calculate prob of sequence enn when three letters picked without replacement from {h: 4, e: 2, n: 2}. Answer: 1/84 Let: What is prob of sequence oo when two letters picked without replacement from ognggngoog? Answer: 1/15 Let: Four letters picked without replacement from {p: 1, z: 1, i: 5, b: 2, u: 3, k: 1}. Give prob of sequence pibz. Answer: 1/1716 Let: What is prob of sequence tt when two letters picked without replacement from {j: 2, f: 2, l: 4, t: 8}? Answer: 7/30 Let: Calculate prob of sequence ss when two letters picked without replacement from {q: 7, s: 4, e: 6}. Answer: 3/68 Let: Calculate prob of sequence sx when two letters picked without replacement from {b: 1, y: 1, h: 1, s: 2, x: 1, n: 2}. Answer: 1/28 Let: Two letters picked without replacement from {p: 5, a: 8}. Give prob of sequence aa. Answer: 14/39 Let: Three letters picked without replacement from {w: 15, b: 3}. What is prob of sequence wbb? Answer: 5/272 Let: Four letters picked without replacement from ouggogpuuplu. What is prob of sequence opoo? Answer: 0 Let: What is prob of sequence hhs when three letters picked without replacement from hhhshhhhshhhsh? Answer: 55/364 Let: Two letters picked without replacement from {h: 12, a: 3, o: 3}. Give prob of sequence ho. Answer: 2/17 Let: Three letters picked without replacement from qvvvvvvwqqqvqhvq. What is prob of sequence qqw? Answer: 1/112 Let: What is prob of sequence lp when two letters picked without replacement from {p: 1, m: 1, c: 10, l: 1}? Answer: 1/156 Let: Four letters picked without replacement from {h: 2, j: 4, d: 1, v: 4}. What is prob of sequence jdhh? Answer: 1/990 Let: What is prob of sequence efhe when four letters picked without r
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measurement: conversion ----------------------- What if: How many grams are there in 46.18391 kilograms? Thus: 46183.91 What if: What is 6393867.3 minutes in days? Thus: 4440.185625 What if: How many milliseconds are there in 3/10 of a minute? Thus: 18000 What if: What is thirty-seven halves of a decade in years? Thus: 185 What if: How many decades are there in 5.111081 centuries? Thus: 51.11081 What if: How many grams are there in 1/16 of a tonne? Thus: 62500 What if: How many millilitres are there in 43/2 of a litre? Thus: 21500 What if: How many litres are there in 8.421041ml? Thus: 0.008421041 What if: What is 0.9304233 months in centuries? Thus: 0.00077535275 What if: How many seconds are there in 3/25 of a week? Thus: 72576 What if: How many weeks are there in 49131362.7 minutes? Thus: 4874.143125 What if: How many kilograms are there in fourty-eight fifths of a tonne? Thus: 9600 What if: How many millilitres are there in three tenths of a litre? Thus: 300 What if: How many millilitres are there in 13/8 of a litre? Thus: 1625 What if: Convert 48.0089g to tonnes. Thus: 0.0000480089 What if: How many kilograms are there in five quarters of a tonne? Thus: 1250 What if: How many grams are there in 991.4565ug? Thus: 0.0009914565 What if: Convert 924371.2 millilitres to litres. Thus: 924.3712 What if: Convert 302917.3ms to microseconds. Thus: 302917300 What if: How many minutes are there in seventy-four fifths of a day? Thus: 21312 What if: How many decades are there in 4025.908 centuries? Thus: 40259.08 What if: What is 9/10 of a hour in seconds? Thus: 3240 What if: How many micrograms are there in three eighths of a milligram? Thus: 375 What if: How many micrograms are there in twenty-nine halves of a milligram? Thus: 14500 What if: What is four fifteenths of a week in minutes? Thus: 2688 What if: Convert 521.7488 tonnes to grams. Thus: 521748800 What if: How many micrograms are there in thirteen fifths of a milligram? Thus: 2600 What if: How many grams are there
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numbers: is prime ----------------- Given: Is 9193 composite? Calculation: True Given: Is 313307 prime? Calculation: True Given: Is 5047764682 composite? Calculation: True Given: Is 7000655 prime? Calculation: False Given: Is 355751909 a composite number? Calculation: True Given: Is 30289 a prime number? Calculation: False Given: Is 5261499431 a prime number? Calculation: True Given: Is 36141017977 composite? Calculation: True Given: Is 1391800763 a prime number? Calculation: False Given: Is 3439439 a composite number? Calculation: False Given: Is 3980323 a composite number? Calculation: False Given: Is 71002103 composite? Calculation: True Given: Is 2379667 composite? Calculation: True Given: Is 36057883229 composite? Calculation: False Given: Is 96414601 a composite number? Calculation: True Given: Is 193644453 a prime number? Calculation: False Given: Is 79548199 prime? Calculation: False Given: Is 3448495 a composite number? Calculation: True Given: Is 6867613 a prime number? Calculation: True Given: Is 94151 a composite number? Calculation: False Given: Is 359197 a composite number? Calculation: True Given: Is 103557497 composite? Calculation: True Given: Is 7353811 a composite number? Calculation: False Given: Is 4102991 composite? Calculation: False Given: Is 69469170397 composite? Calculation: True Given: Is 35721302 composite? Calculation: True Given: Is 420097 a composite number? Calculation: False Given: Is 600773 a composite number? Calculation: True Given: Is 178338557 a prime number? Calculation: False Given: Is 3824741 prime? Calculation: True Given: Is 17698 a composite number? Calculation: True Given: Is 2353343 prime? Calculation: True Given: Is 5860079 composite? Calculation: False Given: Is 713114177 prime? Calculation: True Given: Is 4441 a composite number? Calculation: False Given: Is 16143767371 a prime number? Calculation: True Given: Is 255790229 composite? Calculation: True Given: Is 14093684729 composite? Calculation: True Given: Is 35993
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arithmetic: nearest integer root -------------------------------- Q): What is the fifth root of 3463686 to the nearest integer? Response: 20 Q): What is the cube root of 1345 to the nearest integer? Response: 11 Q): What is 2109 to the power of 1/3, to the nearest integer? Response: 13 Q): What is the square root of 1501545738 to the nearest integer? Response: 38750 Q): What is the square root of 591658 to the nearest integer? Response: 769 Q): What is the cube root of 1552636724 to the nearest integer? Response: 1158 Q): What is the cube root of 2365677069 to the nearest integer? Response: 1332 Q): What is the cube root of 163744059 to the nearest integer? Response: 547 Q): What is 2521 to the power of 1/2, to the nearest integer? Response: 50 Q): What is the third root of 2413074 to the nearest integer? Response: 134 Q): What is the third root of 443246 to the nearest integer? Response: 76 Q): What is the third root of 92067 to the nearest integer? Response: 45 Q): What is 19800 to the power of 1/5, to the nearest integer? Response: 7 Q): What is the third root of 116032 to the nearest integer? Response: 49 Q): What is 1859575018 to the power of 1/5, to the nearest integer? Response: 71 Q): What is the fourth root of 205738087 to the nearest integer? Response: 120 Q): What is the fifth root of 481334635 to the nearest integer? Response: 55 Q): What is the sixth root of 10908250 to the nearest integer? Response: 15 Q): What is the seventh root of 860 to the nearest integer? Response: 3 Q): What is 1174096439 to the power of 1/8, to the nearest integer? Response: 14 Q): What is the square root of 103236 to the nearest integer? Response: 321 Q): What is 1020 to the power of 1/2, to the nearest integer? Response: 32 Q): What is the ninth root of 329789545 to the nearest integer? Response: 9 Q): What is 1143102 to the power of 1/7, to the nearest integer? Response: 7 Q): What is the eighth root of 22802209 to the nearest integer? Response: 8 Q): What is 95888793 to the
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numbers: div remainder ---------------------- Q): Calculate the remainder when 688677 is divided by 193. Resolution: 53 Q): Calculate the remainder when 8038 is divided by 30. Resolution: 28 Q): What is the remainder when 2248977 is divided by 14234? Resolution: 5 Q): Calculate the remainder when 76 is divided by 48. Resolution: 28 Q): What is the remainder when 135785 is divided by 45075? Resolution: 560 Q): Calculate the remainder when 657 is divided by 209. Resolution: 30 Q): What is the remainder when 61 is divided by 47? Resolution: 14 Q): What is the remainder when 53778150 is divided by 1256? Resolution: 1254 Q): Calculate the remainder when 15364 is divided by 31. Resolution: 19 Q): What is the remainder when 1142 is divided by 548? Resolution: 46 Q): What is the remainder when 292185 is divided by 837? Resolution: 72 Q): Calculate the remainder when 142 is divided by 137. Resolution: 5 Q): Calculate the remainder when 20437 is divided by 1375. Resolution: 1187 Q): What is the remainder when 10355 is divided by 10? Resolution: 5 Q): What is the remainder when 6681 is divided by 3320? Resolution: 41 Q): Calculate the remainder when 4961450 is divided by 62018. Resolution: 10 Q): Calculate the remainder when 88 is divided by 10. Resolution: 8 Q): Calculate the remainder when 956 is divided by 559. Resolution: 397 Q): What is the remainder when 3553 is divided by 1734? Resolution: 85 Q): What is the remainder when 893 is divided by 50? Resolution: 43 Q): Calculate the remainder when 386440 is divided by 4156. Resolution: 4088 Q): What is the remainder when 3 is divided by 2? Resolution: 1 Q): What is the remainder when 700948 is divided by 3050? Resolution: 2498 Q): What is the remainder when 1228 is divided by 131? Resolution: 49 Q): What is the remainder when 21407218 is divided by 60? Resolution: 58 Q): What is the remainder when 40254115 is divided by 1283? Resolution: 1273 Q): What is the remainder when 418 is divided by 69? Resolution: 4 Q): What is the r
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measurement: conversion ----------------------- Given: How many millimeters are there in one fifth of a meter? Workthrough: 200 Given: How many hours are there in 3/7 of a week? Workthrough: 72 Given: What is 0.7918266m in centimeters? Workthrough: 79.18266 Given: How many milligrams are there in 3/10 of a gram? Workthrough: 300 Given: What is 3/10 of a millimeter in micrometers? Workthrough: 300 Given: What is 756.5296g in nanograms? Workthrough: 756529600000 Given: What is 25/8 of a century in months? Workthrough: 3750 Given: How many litres are there in 34.03646ml? Workthrough: 0.03403646 Given: What is eighty-one quarters of a gram in milligrams? Workthrough: 20250 Given: Convert 0.1800697km to meters. Workthrough: 180.0697 Given: How many minutes are there in two fifteenths of a hour? Workthrough: 8 Given: Convert 0.987961 micrograms to milligrams. Workthrough: 0.000987961 Given: How many minutes are there in 3/40 of a day? Workthrough: 108 Given: How many tonnes are there in 642353.5kg? Workthrough: 642.3535 Given: Convert 8.499607ns to seconds. Workthrough: 0.000000008499607 Given: How many months are there in 1/30 of a decade? Workthrough: 4 Given: What is 7/4 of a week in hours? Workthrough: 294 Given: What is sixty-two thirds of a hour in minutes? Workthrough: 1240 Given: How many hours are there in 61988.34 weeks? Workthrough: 10414041.12 Given: What is 3/5 of a millennium in years? Workthrough: 600 Given: How many millilitres are there in 569.4322l? Workthrough: 569432.2 Given: What is 13.28834 grams in nanograms? Workthrough: 13288340000 Given: How many litres are there in 8418.503ml? Workthrough: 8.418503 Given: What is 4/3 of a year in months? Workthrough: 16 Given: Convert 45.03609 centuries to decades. Workthrough: 450.3609 Given: How many millilitres are there in 59/5 of a litre? Workthrough: 11800 Given: What is ten thirds of a minute in seconds? Workthrough: 200 Given: What is seven quarters of a kilogram in grams? Workthrough: 1750 Given: How ma
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arithmetic: nearest integer root -------------------------------- Scenario: What is the tenth root of 152484 to the nearest integer? Solution: 3 Scenario: What is the square root of 64667331 to the nearest integer? Solution: 8042 Scenario: What is 22919 to the power of 1/6, to the nearest integer? Solution: 5 Scenario: What is the fourth root of 28568 to the nearest integer? Solution: 13 Scenario: What is the square root of 43162 to the nearest integer? Solution: 208 Scenario: What is the cube root of 9329 to the nearest integer? Solution: 21 Scenario: What is the fourth root of 14328 to the nearest integer? Solution: 11 Scenario: What is 2866920 to the power of 1/2, to the nearest integer? Solution: 1693 Scenario: What is 1284 to the power of 1/2, to the nearest integer? Solution: 36 Scenario: What is the fifth root of 9467219 to the nearest integer? Solution: 25 Scenario: What is the square root of 55344 to the nearest integer? Solution: 235 Scenario: What is the fifth root of 1266023 to the nearest integer? Solution: 17 Scenario: What is the cube root of 4575307749 to the nearest integer? Solution: 1660 Scenario: What is the square root of 11729744 to the nearest integer? Solution: 3425 Scenario: What is the cube root of 17439 to the nearest integer? Solution: 26 Scenario: What is 5683 to the power of 1/10, to the nearest integer? Solution: 2 Scenario: What is the third root of 169376761 to the nearest integer? Solution: 553 Scenario: What is the fourth root of 182886 to the nearest integer? Solution: 21 Scenario: What is the cube root of 42451 to the nearest integer? Solution: 35 Scenario: What is the tenth root of 429 to the nearest integer? Solution: 2 Scenario: What is the square root of 1735340 to the nearest integer? Solution: 1317 Scenario: What is the square root of 1182 to the nearest integer? Solution: 34 Scenario: What is the square root of 301223 to the nearest integer? Solution: 549 Scenario: What is the cube root of 397014 to the nearest integer? So
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probability: swr p level set ---------------------------- Problem: Three letters picked without replacement from ibbibbb. Give prob of picking 1 i and 2 b. Result: 4/7 Problem: What is prob of picking 3 v when three letters picked without replacement from {v: 2, u: 9}? Result: 0 Problem: Three letters picked without replacement from {o: 5, x: 2}. What is prob of picking 1 x and 2 o? Result: 4/7 Problem: Two letters picked without replacement from zzzakzzkzzzzzez. Give prob of picking 1 a and 1 z. Result: 11/105 Problem: Four letters picked without replacement from kzzwzkkqkqkzzqz. What is prob of picking 1 w, 1 z, and 2 k? Result: 4/91 Problem: Two letters picked without replacement from pnkmg. Give prob of picking 1 k and 1 p. Result: 1/10 Problem: Three letters picked without replacement from ppbpppbbpbbptapbbtp. What is prob of picking 2 p and 1 a? Result: 12/323 Problem: Calculate prob of picking 1 u, 1 s, and 1 k when three letters picked without replacement from {k: 2, f: 2, u: 1, s: 2, o: 1}. Result: 1/14 Problem: What is prob of picking 2 q, 1 a, and 1 s when four letters picked without replacement from {f: 2, z: 1, a: 3, q: 3, s: 1, l: 1}? Result: 3/110 Problem: Two letters picked without replacement from {z: 1, i: 11}. Give prob of picking 2 i. Result: 5/6 Problem: Three letters picked without replacement from jjdjjjjjrjjjj. Give prob of picking 1 r and 2 j. Result: 5/26 Problem: What is prob of picking 2 f when two letters picked without replacement from rmfzffu? Result: 1/7 Problem: Three letters picked without replacement from {m: 2, n: 2, j: 4, i: 7, q: 2}. Give prob of picking 1 n, 1 q, and 1 i. Result: 7/170 Problem: What is prob of picking 1 h and 1 r when two letters picked without replacement from {r: 1, f: 3, h: 1}? Result: 1/10 Problem: Four letters picked without replacement from xdzxgvzuv. What is prob of picking 1 d, 1 u, 1 x, and 1 v? Result: 2/63 Problem: Three letters picked without replacement from mowyowwolyoyllywwyl. What is prob of pic
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probability: swr p sequence --------------------------- Given: What is prob of sequence jaar when four letters picked without replacement from {a: 3, o: 2, b: 2, m: 2, r: 4, j: 2}? Fix: 2/1365 Given: Two letters picked without replacement from jjjoojjjj. What is prob of sequence jo? Fix: 7/36 Given: What is prob of sequence hj when two letters picked without replacement from hhjhhhhjhhhhhhhhhh? Fix: 16/153 Given: Three letters picked without replacement from xgmggdcdmgm. Give prob of sequence mcx. Fix: 1/330 Given: Four letters picked without replacement from {a: 1, r: 1, l: 1, x: 4, k: 1}. Give prob of sequence lark. Fix: 1/1680 Given: What is prob of sequence poom when four letters picked without replacement from mpzodzdzzmoo? Fix: 1/990 Given: Calculate prob of sequence kke when three letters picked without replacement from {u: 1, s: 1, k: 2, c: 1, e: 2, a: 1}. Fix: 1/84 Given: Three letters picked without replacement from hyyysysyooyssshshss. Give prob of sequence hhy. Fix: 2/323 Given: What is prob of sequence sz when two letters picked without replacement from xzznzxnznncnznnsn? Fix: 5/272 Given: Two letters picked without replacement from {j: 6, a: 3, v: 1, f: 2, n: 3}. Give prob of sequence vn. Fix: 1/70 Given: What is prob of sequence be when two letters picked without replacement from {e: 1, i: 3, b: 1}? Fix: 1/20 Given: Three letters picked without replacement from tbttbtttttb. Give prob of sequence ttt. Fix: 56/165 Given: Calculate prob of sequence dda when three letters picked without replacement from {e: 11, d: 2, m: 1, x: 1, z: 2, a: 2}. Fix: 2/2907 Given: Three letters picked without replacement from {w: 3, r: 4, c: 9}. What is prob of sequence wcr? Fix: 9/280 Given: Two letters picked without replacement from jjo. What is prob of sequence jo? Fix: 1/3 Given: Calculate prob of sequence gnn when three letters picked without replacement from dddgnddnnozdooz. Fix: 1/455 Given: What is prob of sequence cff when three letters picked without replacement fr
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numbers: place value -------------------- Input: What is the units digit of 3212241? Response: 1 Input: What is the hundred thousands digit of 49425586? Response: 4 Input: What is the thousands digit of 21766? Response: 1 Input: What is the thousands digit of 7005? Response: 7 Input: What is the ten millions digit of 3017872922? Response: 1 Input: What is the hundred thousands digit of 6325866? Response: 3 Input: What is the units digit of 16520? Response: 0 Input: What is the hundred thousands digit of 5982052? Response: 9 Input: What is the tens digit of 1134? Response: 3 Input: What is the units digit of 14203? Response: 3 Input: What is the thousands digit of 74375? Response: 4 Input: What is the thousands digit of 50857? Response: 0 Input: What is the units digit of 1538663381? Response: 1 Input: What is the hundreds digit of 7474? Response: 4 Input: What is the tens digit of 533181? Response: 8 Input: What is the hundreds digit of 1389? Response: 3 Input: What is the thousands digit of 621772144? Response: 2 Input: What is the hundred thousands digit of 6857619? Response: 8 Input: What is the hundreds digit of 1892132431? Response: 4 Input: What is the units digit of 82046? Response: 6 Input: What is the millions digit of 3027893341? Response: 7 Input: What is the thousands digit of 1993986345? Response: 6 Input: What is the tens digit of 102841? Response: 4 Input: What is the ten millions digit of 836216653? Response: 3 Input: What is the hundreds digit of 347497? Response: 4 Input: What is the hundreds digit of 637489? Response: 4 Input: What is the ten thousands digit of 1387486674? Response: 8 Input: What is the units digit of 577? Response: 7 Input: What is the ten thousands digit of 59884? Response: 5 Input: What is the units digit of 1644801? Response: 1 Input: What is the units digit of 4490725032? Response: 2 Input: What is the thousands digit of 1217? Response: 1 Input: What is the units digit of 1590? Response: 0 Input: What is the ten thousands dig
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numbers: div remainder ---------------------- Scenario: Calculate the remainder when 157 is divided by 80. Explanation: 77 Scenario: Calculate the remainder when 712 is divided by 42. Explanation: 40 Scenario: What is the remainder when 214642 is divided by 39? Explanation: 25 Scenario: Calculate the remainder when 207 is divided by 31. Explanation: 21 Scenario: Calculate the remainder when 574402 is divided by 143596. Explanation: 18 Scenario: What is the remainder when 1621412 is divided by 2206? Explanation: 2 Scenario: What is the remainder when 22044 is divided by 149? Explanation: 141 Scenario: Calculate the remainder when 2788 is divided by 45. Explanation: 43 Scenario: What is the remainder when 3249815 is divided by 1266? Explanation: 1259 Scenario: What is the remainder when 735 is divided by 350? Explanation: 35 Scenario: What is the remainder when 102224 is divided by 698? Explanation: 316 Scenario: What is the remainder when 164148 is divided by 14? Explanation: 12 Scenario: Calculate the remainder when 19559 is divided by 146. Explanation: 141 Scenario: Calculate the remainder when 1750311 is divided by 134639. Explanation: 4 Scenario: What is the remainder when 104322 is divided by 22? Explanation: 20 Scenario: What is the remainder when 2899 is divided by 12? Explanation: 7 Scenario: What is the remainder when 3715397 is divided by 619217? Explanation: 95 Scenario: What is the remainder when 1163 is divided by 298? Explanation: 269 Scenario: What is the remainder when 3774 is divided by 3729? Explanation: 45 Scenario: What is the remainder when 13881 is divided by 129? Explanation: 78 Scenario: Calculate the remainder when 15166 is divided by 389. Explanation: 384 Scenario: Calculate the remainder when 6929 is divided by 225. Explanation: 179 Scenario: Calculate the remainder when 617561 is divided by 145. Explanation: 6 Scenario: What is the remainder when 15846959 is divided by 1789? Explanation: 1786 Scenario: Calculate the remainder when 2374 is
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measurement: time ----------------- Item: How many minutes are there between 6:40 PM and 5:52 AM? Yields: 672 Item: What is 647 minutes after 7:11 PM? Yields: 5:58 AM Item: How many minutes are there between 2:48 AM and 10:13 AM? Yields: 445 Item: How many minutes are there between 12:33 AM and 2:55 AM? Yields: 142 Item: What is 685 minutes after 8:12 AM? Yields: 7:37 PM Item: What is 246 minutes after 12:50 PM? Yields: 4:56 PM Item: How many minutes are there between 11:58 PM and 3:53 AM? Yields: 235 Item: How many minutes are there between 3:38 AM and 1:33 PM? Yields: 595 Item: How many minutes are there between 4:42 PM and 1:49 AM? Yields: 547 Item: What is 88 minutes before 2:52 AM? Yields: 1:24 AM Item: How many minutes are there between 2:10 AM and 9:47 AM? Yields: 457 Item: What is 719 minutes after 7:36 PM? Yields: 7:35 AM Item: What is 630 minutes before 7:52 PM? Yields: 9:22 AM Item: What is 652 minutes after 9:51 AM? Yields: 8:43 PM Item: What is 680 minutes after 11:49 PM? Yields: 11:09 AM Item: What is 641 minutes after 12:41 AM? Yields: 11:22 AM Item: How many minutes are there between 5:05 PM and 7:40 PM? Yields: 155 Item: How many minutes are there between 5:11 AM and 5:44 AM? Yields: 33 Item: What is 528 minutes before 7:17 PM? Yields: 10:29 AM Item: How many minutes are there between 7:48 AM and 5:53 PM? Yields: 605 Item: What is 418 minutes after 6:19 AM? Yields: 1:17 PM Item: How many minutes are there between 10:57 PM and 12:25 AM? Yields: 88 Item: What is 448 minutes before 12:51 PM? Yields: 5:23 AM Item: How many minutes are there between 1:57 AM and 8:56 AM? Yields: 419 Item: How many minutes are there between 7:46 PM and 12:41 AM? Yields: 295 Item: How many minutes are there between 10:54 AM and 8:53 PM? Yields: 599 Item: What is 102 minutes after 8:15 PM? Yields: 9:57 PM Item: How many minutes are there between 12:04 AM and 9:02 AM? Yields: 538 Item: What is 688 minutes before 5:48 AM? Yields: 6:20 PM Item: What is 54 minutes after 2:42 AM?
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numbers: place value -------------------- Puzzle: What is the tens digit of 1515? Steps: 1 Puzzle: What is the thousands digit of 1322? Steps: 1 Puzzle: What is the hundreds digit of 12300? Steps: 3 Puzzle: What is the ten thousands digit of 4335357? Steps: 3 Puzzle: What is the units digit of 67483584? Steps: 4 Puzzle: What is the ten thousands digit of 269769? Steps: 6 Puzzle: What is the millions digit of 28108918? Steps: 8 Puzzle: What is the ten thousands digit of 169123? Steps: 6 Puzzle: What is the tens digit of 12046? Steps: 4 Puzzle: What is the thousands digit of 53950? Steps: 3 Puzzle: What is the tens digit of 449871? Steps: 7 Puzzle: What is the hundreds digit of 1432? Steps: 4 Puzzle: What is the hundred thousands digit of 4839548132? Steps: 5 Puzzle: What is the hundreds digit of 77428094? Steps: 0 Puzzle: What is the ten millions digit of 68454700? Steps: 6 Puzzle: What is the ten thousands digit of 59683825? Steps: 8 Puzzle: What is the tens digit of 2318970409? Steps: 0 Puzzle: What is the tens digit of 318536? Steps: 3 Puzzle: What is the units digit of 3005? Steps: 5 Puzzle: What is the tens digit of 6328? Steps: 2 Puzzle: What is the units digit of 60671? Steps: 1 Puzzle: What is the hundred millions digit of 4185929688? Steps: 1 Puzzle: What is the tens digit of 888823? Steps: 2 Puzzle: What is the millions digit of 2339804? Steps: 2 Puzzle: What is the millions digit of 12248481? Steps: 2 Puzzle: What is the units digit of 23135150? Steps: 0 Puzzle: What is the ten thousands digit of 1762313092? Steps: 1 Puzzle: What is the thousands digit of 1906581750? Steps: 1 Puzzle: What is the hundred thousands digit of 407471? Steps: 4 Puzzle: What is the tens digit of 5782679? Steps: 7 Puzzle: What is the tens digit of 64435? Steps: 3 Puzzle: What is the hundreds digit of 388? Steps: 3 Puzzle: What is the thousands digit of 48738? Steps: 8 Puzzle: What is the units digit of 9673? Steps: 3 Puzzle: What is the hundred millions digit of 1734478523? Steps:
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numbers: is factor ------------------ Ask: Does 92 divide 10494? Conclusion: False Ask: Is 719 a multiple of 67? Conclusion: False Ask: Is 834529 a multiple of 494? Conclusion: False Ask: Is 17 a factor of 1009? Conclusion: False Ask: Does 6 divide 1552? Conclusion: False Ask: Does 38 divide 2012? Conclusion: False Ask: Is 951156 a multiple of 43? Conclusion: False Ask: Does 19 divide 110396956? Conclusion: False Ask: Does 42 divide 123144? Conclusion: True Ask: Is 7787 a multiple of 74? Conclusion: False Ask: Is 22429988 a multiple of 21? Conclusion: False Ask: Is 377777152 a multiple of 4? Conclusion: True Ask: Does 270 divide 8782223? Conclusion: False Ask: Is 3266 a multiple of 23? Conclusion: True Ask: Does 25 divide 23575? Conclusion: True Ask: Does 24 divide 1739? Conclusion: False Ask: Is 251 a factor of 8365579? Conclusion: True Ask: Is 2542 a multiple of 31? Conclusion: True Ask: Is 50 a factor of 50? Conclusion: True Ask: Is 14 a factor of 364? Conclusion: True Ask: Is 69 a factor of 1468026? Conclusion: False Ask: Does 43 divide 1909049? Conclusion: False Ask: Is 41375 a multiple of 125? Conclusion: True Ask: Is 406673052 a multiple of 2? Conclusion: True Ask: Is 205 a factor of 5422204? Conclusion: False Ask: Is 6 a factor of 53118126? Conclusion: True Ask: Is 634415985 a multiple of 48? Conclusion: False Ask: Is 6 a factor of 24? Conclusion: True Ask: Does 197 divide 387492105? Conclusion: True Ask: Is 29 a factor of 19239? Conclusion: False Ask: Does 99 divide 10934? Conclusion: False Ask: Is 4489513011 a multiple of 15? Conclusion: False Ask: Does 64 divide 92992? Conclusion: True Ask: Does 1107 divide 967630914? Conclusion: True Ask: Does 33 divide 543? Conclusion: False Ask: Is 1082 a factor of 9934924? Conclusion: True Ask: Does 11 divide 693? Conclusion: True Ask: Is 100 a factor of 2200? Conclusion: True Ask: Does 8 divide 2216300848? Conclusion: True Ask: Does 142 divide 25478830? Conclusion: False Ask: Is 257544 a multiple of 233? Conclusion:
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numbers: is factor ------------------ Problem: Is 1196 a multiple of 13? Steps: True Problem: Is 935 a factor of 1011670? Steps: True Problem: Does 605 divide 1328434? Steps: False Problem: Is 6028 even? Steps: True Problem: Is 63 a factor of 2394? Steps: True Problem: Is 31 a factor of 34100? Steps: True Problem: Is 3171124 a multiple of 239? Steps: False Problem: Is 18 a factor of 2876? Steps: False Problem: Is 15 a factor of 285? Steps: True Problem: Does 15 divide 23033? Steps: False Problem: Is 195 a factor of 3492255? Steps: True Problem: Is 386 a multiple of 13? Steps: False Problem: Does 11 divide 22? Steps: True Problem: Is 116 a factor of 67280? Steps: True Problem: Does 4 divide 3938? Steps: False Problem: Is 324447 a multiple of 3? Steps: True Problem: Is 916814130 a multiple of 30? Steps: True Problem: Is 32 a factor of 32? Steps: True Problem: Is 236 a factor of 95931? Steps: False Problem: Is 220 a factor of 1273778000? Steps: True Problem: Is 2782 a multiple of 107? Steps: True Problem: Is 29 a factor of 13213158? Steps: False Problem: Does 12 divide 1246285404? Steps: True Problem: Is 11 a factor of 66710567? Steps: True Problem: Does 2214 divide 995826204? Steps: True Problem: Is 48 a factor of 3541? Steps: False Problem: Does 6 divide 2388? Steps: True Problem: Is 901445 a multiple of 3? Steps: False Problem: Does 394 divide 165480? Steps: True Problem: Is 58 a factor of 227134786? Steps: True Problem: Is 484 a factor of 1176607? Steps: False Problem: Is 555839 a multiple of 59? Steps: True Problem: Is 12 a factor of 5570? Steps: False Problem: Does 195 divide 334033? Steps: False Problem: Is 4769 a multiple of 7? Steps: False Problem: Does 57 divide 16953? Steps: False Problem: Does 241 divide 182274? Steps: False Problem: Is 36070 a multiple of 86? Steps: False Problem: Is 21 a factor of 5682537? Steps: True Problem: Is 9 a factor of 1247? Steps: False Problem: Does 22 divide 2068? Steps: True Problem: Is 14 a factor of 200746548? Steps: False P
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probability: swr p sequence --------------------------- Ask: Two letters picked without replacement from {i: 3, f: 5, n: 4}. Give prob of sequence ii. Eval: 1/22 Ask: Calculate prob of sequence cckr when four letters picked without replacement from kkckllkkkllkrc. Eval: 1/1716 Ask: What is prob of sequence yvdy when four letters picked without replacement from mqvyvdcyyycyqdqqcqq? Eval: 5/5814 Ask: Three letters picked without replacement from {o: 1, q: 1, b: 1, s: 4, p: 1}. Give prob of sequence spq. Eval: 1/84 Ask: Three letters picked without replacement from stluslssllussstssl. Give prob of sequence utl. Eval: 5/1224 Ask: What is prob of sequence nft when three letters picked without replacement from {z: 1, n: 1, h: 2, f: 1, t: 4}? Eval: 1/126 Ask: Two letters picked without replacement from {f: 1, e: 1, j: 1, i: 1, a: 1}. Give prob of sequence af. Eval: 1/20 Ask: Calculate prob of sequence ccrc when four letters picked without replacement from crrcrcclcccclxcc. Eval: 9/182 Ask: Calculate prob of sequence kfk when three letters picked without replacement from {k: 4, f: 2, r: 4, n: 1}. Eval: 4/165 Ask: What is prob of sequence adap when four letters picked without replacement from pppipdappdpa? Eval: 7/2970 Ask: What is prob of sequence gggg when four letters picked without replacement from gggg? Eval: 1 Ask: Four letters picked without replacement from {w: 3, m: 4, i: 5, t: 4}. What is prob of sequence mmmt? Eval: 1/455 Ask: Two letters picked without replacement from lldsdxlddsdldldlddl. What is prob of sequence xl? Eval: 7/342 Ask: Calculate prob of sequence cl when two letters picked without replacement from clowcdwcc. Eval: 1/18 Ask: Two letters picked without replacement from {v: 2, j: 4, c: 5}. What is prob of sequence vv? Eval: 1/55 Ask: What is prob of sequence ww when two letters picked without replacement from bbkiwkebwk? Eval: 1/45 Ask: Four letters picked without replacement from mvvdvdvvvvmva. What is prob of sequence vavv? Eval: 14/715 Ask: Four le
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arithmetic: nearest integer root -------------------------------- Situation: What is 613216807 to the power of 1/2, to the nearest integer? Result: 24763 Situation: What is the square root of 7968 to the nearest integer? Result: 89 Situation: What is the tenth root of 42256 to the nearest integer? Result: 3 Situation: What is 2140784720 to the power of 1/3, to the nearest integer? Result: 1289 Situation: What is 1072 to the power of 1/3, to the nearest integer? Result: 10 Situation: What is 1900 to the power of 1/2, to the nearest integer? Result: 44 Situation: What is 5584 to the power of 1/2, to the nearest integer? Result: 75 Situation: What is the square root of 44944084 to the nearest integer? Result: 6704 Situation: What is the square root of 1438844 to the nearest integer? Result: 1200 Situation: What is the square root of 4663772 to the nearest integer? Result: 2160 Situation: What is the third root of 37506 to the nearest integer? Result: 33 Situation: What is 92565236 to the power of 1/10, to the nearest integer? Result: 6 Situation: What is 2983503 to the power of 1/2, to the nearest integer? Result: 1727 Situation: What is 3879625 to the power of 1/3, to the nearest integer? Result: 157 Situation: What is the tenth root of 2213161271 to the nearest integer? Result: 9 Situation: What is 2831 to the power of 1/2, to the nearest integer? Result: 53 Situation: What is 1703321779 to the power of 1/10, to the nearest integer? Result: 8 Situation: What is the square root of 1285393810 to the nearest integer? Result: 35852 Situation: What is 1358008 to the power of 1/3, to the nearest integer? Result: 111 Situation: What is the square root of 4971385 to the nearest integer? Result: 2230 Situation: What is 1325901375 to the power of 1/6, to the nearest integer? Result: 33 Situation: What is 13837 to the power of 1/3, to the nearest integer? Result: 24 Situation: What is 20563 to the power of 1/10, to the nearest integer? Result: 3 Situation: What is the tenth roo
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measurement: conversion ----------------------- Problem #: How many millilitres are there in seventeen halves of a litre? Sol: 8500 Problem #: Convert 98.61444nm to micrometers. Sol: 0.09861444 Problem #: What is 301320.7 micrometers in nanometers? Sol: 301320700 Problem #: How many years are there in 3/10 of a decade? Sol: 3 Problem #: What is 9.800416kg in micrograms? Sol: 9800416000 Problem #: How many nanoseconds are there in 3/25 of a microsecond? Sol: 120 Problem #: What is 11/4 of a century in months? Sol: 3300 Problem #: Convert 207247.2 years to months. Sol: 2486966.4 Problem #: How many nanograms are there in 37/5 of a microgram? Sol: 7400 Problem #: What is eleven quarters of a second in milliseconds? Sol: 2750 Problem #: How many months are there in 0.954337 years? Sol: 11.452044 Problem #: What is twenty-seven fifths of a kilogram in grams? Sol: 5400 Problem #: What is 1/16 of a minute in milliseconds? Sol: 3750 Problem #: What is 41/2 of a meter in millimeters? Sol: 20500 Problem #: How many nanograms are there in 37/2 of a microgram? Sol: 18500 Problem #: What is seven halves of a centimeter in micrometers? Sol: 35000 Problem #: What is 60.21111g in tonnes? Sol: 0.00006021111 Problem #: How many months are there in seventeen sixths of a millennium? Sol: 34000 Problem #: Convert 47930.06 days to milliseconds. Sol: 4141157184000 Problem #: How many seconds are there in 50.18944 microseconds? Sol: 0.00005018944 Problem #: What is 3/5 of a litre in millilitres? Sol: 600 Problem #: How many millilitres are there in one quarter of a litre? Sol: 250 Problem #: How many microseconds are there in 455771.8 days? Sol: 39378683520000000 Problem #: How many tonnes are there in 509237.9g? Sol: 0.5092379 Problem #: Convert 1.829365 nanograms to micrograms. Sol: 0.001829365 Problem #: What is 73.18842 decades in millennia? Sol: 0.7318842 Problem #: How many seconds are there in 1/20 of a minute? Sol: 3 Problem #: How many decades are there in seven halves of a millen
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numbers: place value -------------------- Problem: What is the tens digit of 174092? Steps: 9 Problem: What is the hundreds digit of 4519? Steps: 5 Problem: What is the thousands digit of 19940961? Steps: 0 Problem: What is the hundred thousands digit of 2360057? Steps: 3 Problem: What is the tens digit of 440296? Steps: 9 Problem: What is the ten thousands digit of 51953? Steps: 5 Problem: What is the units digit of 1357349963? Steps: 3 Problem: What is the units digit of 63003075? Steps: 5 Problem: What is the units digit of 10870? Steps: 0 Problem: What is the hundreds digit of 163599888? Steps: 8 Problem: What is the thousands digit of 1765142? Steps: 5 Problem: What is the thousands digit of 34867? Steps: 4 Problem: What is the tens digit of 3614? Steps: 1 Problem: What is the thousands digit of 105780? Steps: 5 Problem: What is the units digit of 2340862? Steps: 2 Problem: What is the thousands digit of 132664? Steps: 2 Problem: What is the millions digit of 1180746868? Steps: 0 Problem: What is the units digit of 1593? Steps: 3 Problem: What is the ten thousands digit of 952915? Steps: 5 Problem: What is the hundreds digit of 13760395? Steps: 3 Problem: What is the hundreds digit of 442? Steps: 4 Problem: What is the thousands digit of 111556? Steps: 1 Problem: What is the thousands digit of 23436? Steps: 3 Problem: What is the thousands digit of 171582053? Steps: 2 Problem: What is the units digit of 852984? Steps: 4 Problem: What is the hundreds digit of 27443403? Steps: 4 Problem: What is the hundreds digit of 183019? Steps: 0 Problem: What is the hundred thousands digit of 76965650? Steps: 9 Problem: What is the hundreds digit of 790? Steps: 7 Problem: What is the tens digit of 444? Steps: 4 Problem: What is the ten thousands digit of 240205? Steps: 4 Problem: What is the tens digit of 728? Steps: 2 Problem: What is the tens digit of 6792879? Steps: 7 Problem: What is the hundreds digit of 174039? Steps: 0 Problem: What is the tens digit of 13? Steps: 1 P
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numbers: gcd ------------ Query: What is the greatest common divisor of 3013 and 1048? Hence: 131 Query: What is the greatest common factor of 192215 and 703403? Hence: 1039 Query: Calculate the highest common factor of 99 and 88. Hence: 11 Query: What is the greatest common divisor of 609 and 1190653? Hence: 29 Query: Calculate the highest common divisor of 931 and 6836725. Hence: 49 Query: What is the highest common divisor of 221 and 136? Hence: 17 Query: Calculate the highest common factor of 30 and 2190. Hence: 30 Query: Calculate the highest common divisor of 526452 and 1644. Hence: 12 Query: Calculate the highest common divisor of 589 and 6308. Hence: 19 Query: Calculate the highest common divisor of 195 and 1079. Hence: 13 Query: Calculate the greatest common factor of 2834 and 1199. Hence: 109 Query: What is the highest common factor of 782 and 46? Hence: 46 Query: What is the greatest common factor of 4584 and 107724? Hence: 2292 Query: Calculate the greatest common divisor of 303 and 17714188. Hence: 101 Query: What is the greatest common factor of 3636 and 4501772? Hence: 404 Query: Calculate the greatest common factor of 50496 and 168. Hence: 24 Query: What is the greatest common factor of 169878007 and 65? Hence: 13 Query: What is the greatest common divisor of 21 and 522816966? Hence: 21 Query: What is the highest common divisor of 20 and 530? Hence: 10 Query: Calculate the greatest common divisor of 3498 and 825. Hence: 33 Query: What is the greatest common divisor of 37206 and 297? Hence: 27 Query: What is the greatest common factor of 633700 and 80? Hence: 20 Query: What is the highest common divisor of 107007 and 18126? Hence: 159 Query: What is the greatest common divisor of 50394 and 444? Hence: 222 Query: What is the greatest common divisor of 9144 and 12880467? Hence: 1143 Query: What is the greatest common factor of 28 and 1414? Hence: 14 Query: What is the greatest common factor of 1684 and 3937192? Hence: 1684 Query: What is the highest com
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numbers: gcd ------------ Puzzle: What is the greatest common factor of 6828374 and 70? Calculation: 14 Puzzle: Calculate the greatest common divisor of 46 and 322. Calculation: 46 Puzzle: What is the greatest common factor of 21990 and 7716? Calculation: 6 Puzzle: Calculate the highest common factor of 37 and 1369. Calculation: 37 Puzzle: Calculate the greatest common divisor of 882 and 126726054. Calculation: 294 Puzzle: Calculate the highest common factor of 120456 and 3768. Calculation: 24 Puzzle: Calculate the greatest common divisor of 14875 and 28. Calculation: 7 Puzzle: Calculate the greatest common factor of 23031448 and 264. Calculation: 88 Puzzle: Calculate the highest common divisor of 1016767 and 11009. Calculation: 101 Puzzle: Calculate the highest common factor of 61834 and 3698. Calculation: 86 Puzzle: Calculate the greatest common factor of 4731 and 2964. Calculation: 57 Puzzle: Calculate the greatest common factor of 60 and 380. Calculation: 20 Puzzle: What is the greatest common divisor of 4 and 164? Calculation: 4 Puzzle: Calculate the greatest common factor of 56 and 177256. Calculation: 8 Puzzle: What is the greatest common divisor of 727260 and 4650? Calculation: 930 Puzzle: Calculate the highest common divisor of 8 and 536. Calculation: 8 Puzzle: What is the highest common factor of 635850 and 75? Calculation: 75 Puzzle: Calculate the greatest common divisor of 43 and 43301903. Calculation: 43 Puzzle: What is the highest common factor of 403 and 104? Calculation: 13 Puzzle: Calculate the highest common divisor of 99890726 and 14772. Calculation: 2462 Puzzle: What is the greatest common divisor of 407 and 20293603? Calculation: 11 Puzzle: Calculate the greatest common divisor of 2959 and 76859756. Calculation: 269 Puzzle: Calculate the highest common divisor of 1958 and 205946. Calculation: 178 Puzzle: Calculate the greatest common factor of 13 and 128713. Calculation: 13 Puzzle: Calculate the greatest common divisor of 490413 and 13189. Calcu
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arithmetic: nearest integer root -------------------------------- Item: What is 2629386 to the power of 1/6, to the nearest integer? Gives: 12 Item: What is the square root of 478867565 to the nearest integer? Gives: 21883 Item: What is 147079 to the power of 1/3, to the nearest integer? Gives: 53 Item: What is the third root of 965554 to the nearest integer? Gives: 99 Item: What is the cube root of 86631 to the nearest integer? Gives: 44 Item: What is the third root of 495950 to the nearest integer? Gives: 79 Item: What is 1477370 to the power of 1/2, to the nearest integer? Gives: 1215 Item: What is the cube root of 855 to the nearest integer? Gives: 9 Item: What is 972090035 to the power of 1/7, to the nearest integer? Gives: 19 Item: What is 4193787 to the power of 1/3, to the nearest integer? Gives: 161 Item: What is the seventh root of 120023956 to the nearest integer? Gives: 14 Item: What is the cube root of 57485 to the nearest integer? Gives: 39 Item: What is the cube root of 87750 to the nearest integer? Gives: 44 Item: What is the fifth root of 1046 to the nearest integer? Gives: 4 Item: What is the sixth root of 73427179 to the nearest integer? Gives: 20 Item: What is the third root of 789 to the nearest integer? Gives: 9 Item: What is 9059965 to the power of 1/10, to the nearest integer? Gives: 5 Item: What is the tenth root of 759905 to the nearest integer? Gives: 4 Item: What is the fifth root of 18289 to the nearest integer? Gives: 7 Item: What is the seventh root of 20051234 to the nearest integer? Gives: 11 Item: What is the square root of 9821 to the nearest integer? Gives: 99 Item: What is 3522259708 to the power of 1/2, to the nearest integer? Gives: 59349 Item: What is the cube root of 3763663 to the nearest integer? Gives: 156 Item: What is 6039 to the power of 1/2, to the nearest integer? Gives: 78 Item: What is the cube root of 196768906 to the nearest integer? Gives: 582 Item: What is the third root of 375469031 to the nearest integer? Give
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probability: swr p sequence --------------------------- Example: Two letters picked without replacement from {j: 2, e: 1}. What is prob of sequence ej? Solution: 1/3 Example: Three letters picked without replacement from cxbbcpcc. What is prob of sequence xpc? Solution: 1/84 Example: What is prob of sequence jzv when three letters picked without replacement from xjzjvjxjjjjxvx? Solution: 1/156 Example: What is prob of sequence ie when two letters picked without replacement from {e: 9, i: 3}? Solution: 9/44 Example: Three letters picked without replacement from kywykr. What is prob of sequence kyk? Solution: 1/30 Example: Two letters picked without replacement from ppppcptcpcctc. What is prob of sequence cp? Solution: 5/26 Example: Calculate prob of sequence jlzk when four letters picked without replacement from {y: 2, b: 1, j: 1, k: 1, l: 1, z: 2}. Solution: 1/840 Example: What is prob of sequence xm when two letters picked without replacement from mmhmmbxhmvevvvhm? Solution: 1/40 Example: Four letters picked without replacement from {e: 1, i: 2, m: 4, v: 3, a: 1}. Give prob of sequence emmm. Solution: 1/330 Example: Two letters picked without replacement from cqjujuiiucuc. Give prob of sequence qi. Solution: 1/66 Example: Two letters picked without replacement from {e: 1, o: 3, r: 3, h: 2, n: 1, s: 5}. What is prob of sequence or? Solution: 3/70 Example: Two letters picked without replacement from {t: 14, k: 1}. Give prob of sequence kt. Solution: 1/15 Example: Four letters picked without replacement from {z: 4, k: 8, p: 2, m: 1}. Give prob of sequence kmpz. Solution: 8/4095 Example: Calculate prob of sequence vuui when four letters picked without replacement from uuuuvuvvuiuuuuu. Solution: 11/1092 Example: Four letters picked without replacement from enqisisv. What is prob of sequence viss? Solution: 1/420 Example: What is prob of sequence yl when two letters picked without replacement from {m: 5, y: 1, c: 3, l: 4}? Solution: 1/39 Example: Four letters picked with
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probability: swr p level set ---------------------------- Input: Four letters picked without replacement from {z: 4, y: 1, u: 5}. Give prob of picking 4 z. Result: 1/210 Input: Calculate prob of picking 1 d, 1 k, and 2 i when four letters picked without replacement from {i: 3, k: 1, n: 1, d: 3, s: 2, c: 2}. Result: 1/55 Input: What is prob of picking 1 m and 2 z when three letters picked without replacement from {m: 2, z: 8, h: 1, o: 2, p: 2, r: 2}? Result: 7/85 Input: Calculate prob of picking 1 e and 2 p when three letters picked without replacement from ppepeeepee. Result: 3/10 Input: Calculate prob of picking 1 j and 2 k when three letters picked without replacement from {j: 3, z: 6, v: 3, k: 2, y: 2, q: 2}. Result: 1/272 Input: Two letters picked without replacement from bbsfd. What is prob of picking 1 d and 1 s? Result: 1/10 Input: Four letters picked without replacement from {x: 2, e: 2, p: 1, c: 2, u: 1}. What is prob of picking 2 e, 1 p, and 1 u? Result: 1/70 Input: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from pvpvpndspppvp. Result: 7/78 Input: What is prob of picking 3 q when three letters picked without replacement from qqqq? Result: 1 Input: Two letters picked without replacement from {w: 4, p: 1, c: 5, a: 2, b: 2, r: 1}. Give prob of picking 2 a. Result: 1/105 Input: What is prob of picking 3 k when three letters picked without replacement from {k: 3}? Result: 1 Input: Three letters picked without replacement from sgzzsffofgoazz. Give prob of picking 1 a and 2 f. Result: 3/364 Input: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from {w: 3, f: 2}. Result: 3/5 Input: Calculate prob of picking 3 e when three letters picked without replacement from {i: 5, e: 15}. Result: 91/228 Input: Calculate prob of picking 2 u when two letters picked without replacement from qqzqquqzukqu. Result: 1/22 Input: What is prob of picking 1 t and 1 q when two letters picked without replacement from
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numbers: place value -------------------- Q: What is the hundred millions digit of 333870936? A: 3 Q: What is the thousands digit of 20490748? A: 0 Q: What is the hundred thousands digit of 2448653? A: 4 Q: What is the thousands digit of 10822? A: 0 Q: What is the units digit of 26378? A: 8 Q: What is the ten thousands digit of 78217? A: 7 Q: What is the units digit of 57898? A: 8 Q: What is the tens digit of 15703? A: 0 Q: What is the tens digit of 26373? A: 7 Q: What is the ten thousands digit of 78280342? A: 8 Q: What is the tens digit of 661714720? A: 2 Q: What is the tens digit of 1570? A: 7 Q: What is the ten millions digit of 155255141? A: 5 Q: What is the tens digit of 344? A: 4 Q: What is the ten thousands digit of 23377? A: 2 Q: What is the tens digit of 32815561? A: 6 Q: What is the hundreds digit of 1181812624? A: 6 Q: What is the millions digit of 34604688? A: 4 Q: What is the hundreds digit of 1148? A: 1 Q: What is the hundreds digit of 20416837? A: 8 Q: What is the hundreds digit of 10348435? A: 4 Q: What is the thousands digit of 6100? A: 6 Q: What is the millions digit of 2352362? A: 2 Q: What is the tens digit of 727498? A: 9 Q: What is the ten thousands digit of 9136203? A: 3 Q: What is the hundreds digit of 32454998? A: 9 Q: What is the ten thousands digit of 129230275? A: 3 Q: What is the hundreds digit of 36068? A: 0 Q: What is the tens digit of 356508? A: 0 Q: What is the units digit of 1162? A: 2 Q: What is the tens digit of 779094? A: 9 Q: What is the units digit of 4052? A: 2 Q: What is the ten thousands digit of 93403? A: 9 Q: What is the ten thousands digit of 31328179? A: 2 Q: What is the thousands digit of 13116669? A: 6 Q: What is the units digit of 3936732? A: 2 Q: What is the hundred millions digit of 126252466? A: 1 Q: What is the millions digit of 49343266? A: 9 Q: What is the tens digit of 8183? A: 8 Q: What is the tens digit of 9947? A: 4 Q: What is the ten millions digit of 443213172? A: 4 Q: What is the units digit of 1413? A:
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arithmetic: nearest integer root -------------------------------- Q=: What is 3044 to the power of 1/3, to the nearest integer? Answer: 14 Q=: What is the cube root of 14209 to the nearest integer? Answer: 24 Q=: What is 114050 to the power of 1/8, to the nearest integer? Answer: 4 Q=: What is the sixth root of 72937 to the nearest integer? Answer: 6 Q=: What is the third root of 72351368 to the nearest integer? Answer: 417 Q=: What is 55801561 to the power of 1/3, to the nearest integer? Answer: 382 Q=: What is the fifth root of 1626938 to the nearest integer? Answer: 17 Q=: What is 375465 to the power of 1/2, to the nearest integer? Answer: 613 Q=: What is 1513 to the power of 1/6, to the nearest integer? Answer: 3 Q=: What is the cube root of 1062 to the nearest integer? Answer: 10 Q=: What is the third root of 203705482 to the nearest integer? Answer: 588 Q=: What is 87950 to the power of 1/8, to the nearest integer? Answer: 4 Q=: What is the square root of 1384149 to the nearest integer? Answer: 1176 Q=: What is the cube root of 576712056 to the nearest integer? Answer: 832 Q=: What is 2933518 to the power of 1/2, to the nearest integer? Answer: 1713 Q=: What is 12475 to the power of 1/9, to the nearest integer? Answer: 3 Q=: What is the cube root of 1585648 to the nearest integer? Answer: 117 Q=: What is 7892381 to the power of 1/2, to the nearest integer? Answer: 2809 Q=: What is the third root of 104207 to the nearest integer? Answer: 47 Q=: What is 1798 to the power of 1/7, to the nearest integer? Answer: 3 Q=: What is the third root of 1623 to the nearest integer? Answer: 12 Q=: What is 1388143983 to the power of 1/2, to the nearest integer? Answer: 37258 Q=: What is 9619428 to the power of 1/3, to the nearest integer? Answer: 213 Q=: What is 43229 to the power of 1/2, to the nearest integer? Answer: 208 Q=: What is the sixth root of 22610190 to the nearest integer? Answer: 17 Q=: What is the ninth root of 477215 to the nearest integer? Answer: 4 Q=: What
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numbers: div remainder ---------------------- Prompt: What is the remainder when 846 is divided by 78? Hence: 66 Prompt: What is the remainder when 12676 is divided by 192? Hence: 4 Prompt: What is the remainder when 23775 is divided by 7339? Hence: 1758 Prompt: What is the remainder when 67267 is divided by 41? Hence: 27 Prompt: Calculate the remainder when 34278 is divided by 8560. Hence: 38 Prompt: Calculate the remainder when 104 is divided by 19. Hence: 9 Prompt: What is the remainder when 10545264 is divided by 2963? Hence: 2910 Prompt: Calculate the remainder when 40282 is divided by 894. Hence: 52 Prompt: What is the remainder when 1225 is divided by 182? Hence: 133 Prompt: What is the remainder when 5177 is divided by 19? Hence: 9 Prompt: Calculate the remainder when 2499 is divided by 9. Hence: 6 Prompt: Calculate the remainder when 162728 is divided by 6258. Hence: 20 Prompt: What is the remainder when 17059 is divided by 2846? Hence: 2829 Prompt: What is the remainder when 1964885 is divided by 59? Hence: 8 Prompt: What is the remainder when 127597 is divided by 62608? Hence: 2381 Prompt: Calculate the remainder when 354398 is divided by 65. Hence: 18 Prompt: What is the remainder when 4609612 is divided by 32? Hence: 12 Prompt: What is the remainder when 29325 is divided by 1712? Hence: 221 Prompt: Calculate the remainder when 1641 is divided by 181. Hence: 12 Prompt: What is the remainder when 4404803 is divided by 1401? Hence: 59 Prompt: Calculate the remainder when 1407 is divided by 663. Hence: 81 Prompt: Calculate the remainder when 1240 is divided by 1193. Hence: 47 Prompt: Calculate the remainder when 325985 is divided by 188. Hence: 181 Prompt: What is the remainder when 642488 is divided by 6360? Hence: 128 Prompt: Calculate the remainder when 29223056 is divided by 14297. Hence: 14285 Prompt: What is the remainder when 418940 is divided by 115? Hence: 110 Prompt: What is the remainder when 8435 is divided by 2789? Hence: 68 Prompt: Calculate t
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numbers: place value -------------------- Problem Statement: What is the units digit of 237986753? Hence: 3 Problem Statement: What is the hundred thousands digit of 303827723? Hence: 8 Problem Statement: What is the units digit of 479? Hence: 9 Problem Statement: What is the ten thousands digit of 114760? Hence: 1 Problem Statement: What is the thousands digit of 1860? Hence: 1 Problem Statement: What is the units digit of 44220? Hence: 0 Problem Statement: What is the ten thousands digit of 2003240? Hence: 0 Problem Statement: What is the hundreds digit of 6499234131? Hence: 1 Problem Statement: What is the ten millions digit of 15382978? Hence: 1 Problem Statement: What is the hundred millions digit of 204083293? Hence: 2 Problem Statement: What is the tens digit of 244311898? Hence: 9 Problem Statement: What is the tens digit of 871? Hence: 7 Problem Statement: What is the millions digit of 206532221? Hence: 6 Problem Statement: What is the units digit of 18610766? Hence: 6 Problem Statement: What is the units digit of 4924? Hence: 4 Problem Statement: What is the hundreds digit of 207? Hence: 2 Problem Statement: What is the units digit of 40? Hence: 0 Problem Statement: What is the ten thousands digit of 11080? Hence: 1 Problem Statement: What is the hundreds digit of 14752? Hence: 7 Problem Statement: What is the hundred thousands digit of 402372605? Hence: 3 Problem Statement: What is the hundred millions digit of 421654626? Hence: 4 Problem Statement: What is the hundreds digit of 4466791636? Hence: 6 Problem Statement: What is the thousands digit of 481291768? Hence: 1 Problem Statement: What is the hundreds digit of 2317914482? Hence: 4 Problem Statement: What is the thousands digit of 111388263? Hence: 8 Problem Statement: What is the units digit of 179929? Hence: 9 Problem Statement: What is the ten millions digit of 13791527? Hence: 1 Problem Statement: What is the tens digit of 2814731480? Hence: 8 Problem Statement: What is the hundreds digit of 1215
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measurement: time ----------------- Subquestion: What is 458 minutes after 9:18 PM? Key: 4:56 AM Subquestion: What is 291 minutes before 5:35 AM? Key: 12:44 AM Subquestion: What is 693 minutes after 11:05 AM? Key: 10:38 PM Subquestion: What is 623 minutes before 2:17 PM? Key: 3:54 AM Subquestion: How many minutes are there between 2:18 AM and 9:55 AM? Key: 457 Subquestion: How many minutes are there between 10:36 AM and 8:41 PM? Key: 605 Subquestion: What is 387 minutes before 12:51 AM? Key: 6:24 PM Subquestion: What is 366 minutes before 1:27 PM? Key: 7:21 AM Subquestion: What is 184 minutes after 11:54 PM? Key: 2:58 AM Subquestion: How many minutes are there between 9:13 PM and 1:23 AM? Key: 250 Subquestion: What is 11 minutes before 10:31 PM? Key: 10:20 PM Subquestion: How many minutes are there between 6:07 AM and 6:32 AM? Key: 25 Subquestion: What is 618 minutes after 10:19 PM? Key: 8:37 AM Subquestion: What is 139 minutes after 8:30 AM? Key: 10:49 AM Subquestion: What is 682 minutes before 8:03 PM? Key: 8:41 AM Subquestion: How many minutes are there between 10:40 AM and 5:49 PM? Key: 429 Subquestion: How many minutes are there between 9:37 PM and 3:00 AM? Key: 323 Subquestion: What is 235 minutes before 11:17 AM? Key: 7:22 AM Subquestion: What is 96 minutes before 8:29 AM? Key: 6:53 AM Subquestion: What is 345 minutes before 1:10 PM? Key: 7:25 AM Subquestion: How many minutes are there between 12:57 AM and 5:49 AM? Key: 292 Subquestion: What is 591 minutes after 5:20 PM? Key: 3:11 AM Subquestion: How many minutes are there between 8:03 PM and 5:23 AM? Key: 560 Subquestion: What is 77 minutes before 5:10 AM? Key: 3:53 AM Subquestion: How many minutes are there between 9:08 PM and 6:07 AM? Key: 539 Subquestion: What is 127 minutes after 2:53 PM? Key: 5:00 PM Subquestion: What is 39 minutes after 10:32 PM? Key: 11:11 PM Subquestion: How many minutes are there between 9:41 AM and 8:11 PM? Key: 630 Subquestion: What is 137 minutes before 12:13 AM? Key: 9:56 PM Sub
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numbers: div remainder ---------------------- Prompt: Calculate the remainder when 74 is divided by 61. Result: 13 Prompt: Calculate the remainder when 191 is divided by 5. Result: 1 Prompt: Calculate the remainder when 769 is divided by 747. Result: 22 Prompt: What is the remainder when 2381 is divided by 131? Result: 23 Prompt: What is the remainder when 104 is divided by 11? Result: 5 Prompt: What is the remainder when 35393010 is divided by 2363? Result: 2359 Prompt: What is the remainder when 245705 is divided by 69? Result: 65 Prompt: What is the remainder when 83 is divided by 61? Result: 22 Prompt: Calculate the remainder when 136650 is divided by 68320. Result: 10 Prompt: Calculate the remainder when 2178 is divided by 1739. Result: 439 Prompt: Calculate the remainder when 125 is divided by 51. Result: 23 Prompt: Calculate the remainder when 1427772 is divided by 210. Result: 192 Prompt: Calculate the remainder when 1217 is divided by 87. Result: 86 Prompt: Calculate the remainder when 621 is divided by 84. Result: 33 Prompt: Calculate the remainder when 365602 is divided by 3850. Result: 3702 Prompt: What is the remainder when 25842568 is divided by 65? Result: 63 Prompt: What is the remainder when 5307311 is divided by 2002? Result: 9 Prompt: What is the remainder when 143619 is divided by 2411? Result: 1370 Prompt: What is the remainder when 17436843 is divided by 40? Result: 3 Prompt: Calculate the remainder when 1403294 is divided by 351. Result: 347 Prompt: Calculate the remainder when 166 is divided by 19. Result: 14 Prompt: What is the remainder when 50030 is divided by 2419? Result: 1650 Prompt: What is the remainder when 8210 is divided by 2733? Result: 11 Prompt: Calculate the remainder when 575334 is divided by 1281. Result: 165 Prompt: Calculate the remainder when 5078752 is divided by 55. Result: 52 Prompt: Calculate the remainder when 2636267 is divided by 1590. Result: 47 Prompt: What is the remainder when 42088 is divided by 34? Result: 30
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probability: swr p level set ---------------------------- Given: Calculate prob of picking 1 l, 1 t, and 1 w when three letters picked without replacement from {w: 2, t: 2, l: 8}. Sol: 8/55 Given: Three letters picked without replacement from cicciiiiiiiiciiiiici. What is prob of picking 2 i and 1 c? Sol: 35/76 Given: Calculate prob of picking 2 l and 1 m when three letters picked without replacement from rgmdullg. Sol: 1/56 Given: Calculate prob of picking 1 z and 2 m when three letters picked without replacement from {m: 4, z: 2}. Sol: 3/5 Given: Three letters picked without replacement from {o: 3, u: 3}. What is prob of picking 1 o and 2 u? Sol: 9/20 Given: What is prob of picking 3 t when three letters picked without replacement from {t: 6}? Sol: 1 Given: Calculate prob of picking 3 j when three letters picked without replacement from jnjrrjrrjjr. Sol: 2/33 Given: Calculate prob of picking 1 p, 2 q, and 1 w when four letters picked without replacement from {q: 6, a: 2, p: 5, w: 1, e: 2}. Sol: 15/364 Given: Two letters picked without replacement from khhvvhnhhhntwnt. Give prob of picking 2 n. Sol: 1/35 Given: Calculate prob of picking 2 x when two letters picked without replacement from xgsgggx. Sol: 1/21 Given: Four letters picked without replacement from mmbmwmmmmmwb. What is prob of picking 1 b and 3 m? Sol: 112/495 Given: Calculate prob of picking 3 r when three letters picked without replacement from wrwrlrwwlrrrwr. Sol: 5/52 Given: Four letters picked without replacement from ttzlllllllzzlz. Give prob of picking 3 z and 1 t. Sol: 8/1001 Given: Calculate prob of picking 2 z and 1 c when three letters picked without replacement from ncznzzncczccz. Sol: 25/143 Given: What is prob of picking 1 h and 2 u when three letters picked without replacement from uuuph? Sol: 3/10 Given: Calculate prob of picking 2 l when two letters picked without replacement from llwlwwllwlllll. Sol: 45/91 Given: Four letters picked without replacement from {o: 12, y: 7}. Give prob of p
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measurement: time ----------------- Problem: What is 136 minutes after 4:19 PM? Eval: 6:35 PM Problem: How many minutes are there between 4:09 AM and 4:19 AM? Eval: 10 Problem: What is 191 minutes before 7:11 AM? Eval: 4:00 AM Problem: What is 462 minutes after 4:18 AM? Eval: 12:00 PM Problem: What is 576 minutes after 2:00 PM? Eval: 11:36 PM Problem: How many minutes are there between 1:03 PM and 2:20 PM? Eval: 77 Problem: What is 254 minutes before 5:56 PM? Eval: 1:42 PM Problem: What is 644 minutes before 11:38 AM? Eval: 12:54 AM Problem: How many minutes are there between 3:14 PM and 3:49 PM? Eval: 35 Problem: What is 14 minutes after 2:55 PM? Eval: 3:09 PM Problem: How many minutes are there between 9:28 AM and 2:28 PM? Eval: 300 Problem: How many minutes are there between 3:42 AM and 4:38 AM? Eval: 56 Problem: How many minutes are there between 4:21 PM and 12:58 AM? Eval: 517 Problem: What is 107 minutes before 8:32 AM? Eval: 6:45 AM Problem: How many minutes are there between 11:44 PM and 8:29 AM? Eval: 525 Problem: How many minutes are there between 12:20 AM and 4:11 AM? Eval: 231 Problem: What is 59 minutes after 11:22 AM? Eval: 12:21 PM Problem: How many minutes are there between 12:30 PM and 12:02 AM? Eval: 692 Problem: What is 327 minutes before 11:23 AM? Eval: 5:56 AM Problem: What is 655 minutes after 10:42 AM? Eval: 9:37 PM Problem: What is 172 minutes after 5:38 PM? Eval: 8:30 PM Problem: What is 173 minutes before 4:54 AM? Eval: 2:01 AM Problem: What is 423 minutes before 2:24 PM? Eval: 7:21 AM Problem: What is 310 minutes before 11:57 PM? Eval: 6:47 PM Problem: What is 419 minutes before 7:47 PM? Eval: 12:48 PM Problem: What is 274 minutes after 3:19 AM? Eval: 7:53 AM Problem: What is 692 minutes after 6:43 AM? Eval: 6:15 PM Problem: How many minutes are there between 5:20 AM and 7:23 AM? Eval: 123 Problem: What is 424 minutes before 6:37 AM? Eval: 11:33 PM Problem: What is 457 minutes after 3:10 AM? Eval: 10:47 AM Problem: What is 185 minutes afte
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measurement: conversion ----------------------- Part A: Convert 34.74313s to microseconds. Eval: 34743130 Part A: What is one quarter of a litre in millilitres? Eval: 250 Part A: How many minutes are there in sixty-four fifths of a day? Eval: 18432 Part A: What is 82.09693 centuries in years? Eval: 8209.693 Part A: What is 34/5 of a second in milliseconds? Eval: 6800 Part A: Convert 5.283838 millilitres to litres. Eval: 0.005283838 Part A: How many years are there in 2105439.9 months? Eval: 175453.325 Part A: How many millilitres are there in 3/25 of a litre? Eval: 120 Part A: Convert 2505.11481s to days. Eval: 0.028994384375 Part A: How many seconds are there in fifty-three fifths of a hour? Eval: 38160 Part A: How many grams are there in 1/20 of a tonne? Eval: 50000 Part A: How many milligrams are there in 919645.4 kilograms? Eval: 919645400000 Part A: How many millilitres are there in 3/50 of a litre? Eval: 60 Part A: What is 58608.74 weeks in hours? Eval: 9846268.32 Part A: What is 3/50 of a litre in millilitres? Eval: 60 Part A: What is 5/8 of a week in minutes? Eval: 6300 Part A: What is eight thirds of a year in months? Eval: 32 Part A: How many months are there in 23.12199 decades? Eval: 2774.6388 Part A: How many micrograms are there in 324.5019g? Eval: 324501900 Part A: What is 17/2 of a year in months? Eval: 102 Part A: How many nanometers are there in 45/4 of a micrometer? Eval: 11250 Part A: How many litres are there in 66.25607 millilitres? Eval: 0.06625607 Part A: What is 1141755.6 seconds in minutes? Eval: 19029.26 Part A: How many nanometers are there in 0.296718 meters? Eval: 296718000 Part A: How many grams are there in fifteen quarters of a kilogram? Eval: 3750 Part A: How many milliseconds are there in 838.9628 days? Eval: 72486385920 Part A: What is 86427.84nm in micrometers? Eval: 86.42784 Part A: What is twenty-six sevenths of a week in hours? Eval: 624 Part A: How many centuries are there in sixty-one halves of a millennium? Eval: 305 Part A
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numbers: place value -------------------- Conundrum: What is the millions digit of 142300061? Output: 2 Conundrum: What is the hundreds digit of 48900824? Output: 8 Conundrum: What is the thousands digit of 61721? Output: 1 Conundrum: What is the ten thousands digit of 339799260? Output: 9 Conundrum: What is the units digit of 374969? Output: 9 Conundrum: What is the tens digit of 264? Output: 6 Conundrum: What is the hundred millions digit of 127863427? Output: 1 Conundrum: What is the hundreds digit of 473715? Output: 7 Conundrum: What is the hundreds digit of 386? Output: 3 Conundrum: What is the ten millions digit of 72275715? Output: 7 Conundrum: What is the hundreds digit of 474918? Output: 9 Conundrum: What is the ten millions digit of 58949106? Output: 5 Conundrum: What is the thousands digit of 39282666? Output: 2 Conundrum: What is the thousands digit of 167905326? Output: 5 Conundrum: What is the units digit of 4119386? Output: 6 Conundrum: What is the tens digit of 938? Output: 3 Conundrum: What is the thousands digit of 3140? Output: 3 Conundrum: What is the hundred thousands digit of 27937786? Output: 9 Conundrum: What is the thousands digit of 2596965? Output: 6 Conundrum: What is the hundred thousands digit of 10322194? Output: 3 Conundrum: What is the thousands digit of 430914? Output: 0 Conundrum: What is the thousands digit of 6309? Output: 6 Conundrum: What is the units digit of 1075? Output: 5 Conundrum: What is the units digit of 1718? Output: 8 Conundrum: What is the units digit of 24235? Output: 5 Conundrum: What is the hundreds digit of 8386? Output: 3 Conundrum: What is the units digit of 175149659? Output: 9 Conundrum: What is the millions digit of 1202251? Output: 1 Conundrum: What is the units digit of 4830? Output: 0 Conundrum: What is the millions digit of 4523608803? Output: 3 Conundrum: What is the units digit of 437? Output: 7 Conundrum: What is the units digit of 7014? Output: 4 Conundrum: What is the ten thousands digit of 6379482
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numbers: div remainder ---------------------- Input: Calculate the remainder when 601 is divided by 2. β†’: 1 Input: What is the remainder when 805123546 is divided by 534? β†’: 532 Input: What is the remainder when 182 is divided by 22? β†’: 6 Input: Calculate the remainder when 21156551 is divided by 72. β†’: 71 Input: What is the remainder when 132377 is divided by 471? β†’: 26 Input: What is the remainder when 107 is divided by 21? β†’: 2 Input: Calculate the remainder when 19283594 is divided by 11. β†’: 0 Input: What is the remainder when 478034 is divided by 46? β†’: 2 Input: Calculate the remainder when 500382 is divided by 187. β†’: 157 Input: What is the remainder when 3959 is divided by 45? β†’: 44 Input: Calculate the remainder when 247 is divided by 35. β†’: 2 Input: Calculate the remainder when 1334786 is divided by 364. β†’: 362 Input: Calculate the remainder when 8847 is divided by 6. β†’: 3 Input: Calculate the remainder when 3759 is divided by 17. β†’: 2 Input: What is the remainder when 67243 is divided by 61? β†’: 21 Input: What is the remainder when 147430 is divided by 5113? β†’: 4266 Input: Calculate the remainder when 67 is divided by 55. β†’: 12 Input: Calculate the remainder when 9636337 is divided by 19389. β†’: 4 Input: Calculate the remainder when 211644 is divided by 67. β†’: 58 Input: What is the remainder when 1506 is divided by 5? β†’: 1 Input: What is the remainder when 681 is divided by 37? β†’: 15 Input: What is the remainder when 124396 is divided by 625? β†’: 21 Input: Calculate the remainder when 79716 is divided by 1762. β†’: 426 Input: Calculate the remainder when 5252 is divided by 1181. β†’: 528 Input: What is the remainder when 33 is divided by 21? β†’: 12 Input: Calculate the remainder when 3724863 is divided by 229. β†’: 178 Input: What is the remainder when 5241522 is divided by 1310378? β†’: 10 Input: Calculate the remainder when 23502 is divided by 511. β†’: 507 Input: What is the remainder when 2324 is divided by 180? β†’: 164 Input: What is the remainder when 4426060 is di
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