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numbers: is prime ----------------- Example: Is 2494913 composite? Sol: False Example: Is 535663153 composite? Sol: True Example: Is 147751 composite? Sol: True Example: Is 1106719 composite? Sol: True Example: Is 20910787 prime? Sol: True Example: Is 4064357 prime? Sol: False Example: Is 9491 prime? Sol: True Example: Is 21614730913 a composite number? Sol: True Example: Is 328201663 a prime number? Sol: False Example: Is 1888961677 prime? Sol: True Example: Is 3094907 a composite number? Sol: False Example: Is 875646703 a prime number? Sol: False Example: Is 10085606629 composite? Sol: True Example: Is 33630757 composite? Sol: True Example: Is 4868414261 a composite number? Sol: False Example: Is 77153 composite? Sol: False Example: Is 30863604971 a composite number? Sol: False Example: Is 87 a composite number? Sol: True Example: Is 294979 a prime number? Sol: True Example: Is 2423 prime? Sol: True Example: Is 5708452027 composite? Sol: True Example: Is 4210515811 composite? Sol: True Example: Is 6658084541 composite? Sol: False Example: Is 1821230611 composite? Sol: True Example: Is 149894341 prime? Sol: True Example: Is 32105 a prime number? Sol: False Example: Is 168264427 a composite number? Sol: True Example: Is 63017892115 a composite number? Sol: True Example: Is 135513997 prime? Sol: True Example: Is 7193 a composite number? Sol: False Example: Is 843043 composite? Sol: False Example: Is 19813 prime? Sol: True Example: Is 12011 prime? Sol: True Example: Is 2843593 prime? Sol: False Example: Is 105498091 composite? Sol: False Example: Is 7791621 prime? Sol: False Example: Is 33958 prime? Sol: False Example: Is 383219 composite? Sol: False Example: Is 9310023109 a composite number? Sol: False Example: Is 438134069 prime? Sol: False Example: Is 9576911 a composite number? Sol: False Example: Is 214146789 prime? Sol: False Example: Is 235607269 prime? Sol: True Example: Is 33424308431 a prime number? Sol: True Example: Is 182947099 a prime number? Sol: False
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arithmetic: nearest integer root -------------------------------- Qn: What is 1020 to the power of 1/10, to the nearest integer? Hence: 2 Qn: What is 281 to the power of 1/3, to the nearest integer? Hence: 7 Qn: What is the sixth root of 306285 to the nearest integer? Hence: 8 Qn: What is 7893067 to the power of 1/2, to the nearest integer? Hence: 2809 Qn: What is the sixth root of 660716347 to the nearest integer? Hence: 30 Qn: What is 29480587 to the power of 1/2, to the nearest integer? Hence: 5430 Qn: What is 37688 to the power of 1/6, to the nearest integer? Hence: 6 Qn: What is the fifth root of 4817 to the nearest integer? Hence: 5 Qn: What is the square root of 1387 to the nearest integer? Hence: 37 Qn: What is the third root of 529 to the nearest integer? Hence: 8 Qn: What is 8609 to the power of 1/2, to the nearest integer? Hence: 93 Qn: What is the cube root of 5876136 to the nearest integer? Hence: 180 Qn: What is the square root of 112875 to the nearest integer? Hence: 336 Qn: What is the tenth root of 9192906 to the nearest integer? Hence: 5 Qn: What is 63960 to the power of 1/3, to the nearest integer? Hence: 40 Qn: What is 16718 to the power of 1/2, to the nearest integer? Hence: 129 Qn: What is the fourth root of 200644443 to the nearest integer? Hence: 119 Qn: What is the square root of 1230452700 to the nearest integer? Hence: 35078 Qn: What is the eighth root of 4907609 to the nearest integer? Hence: 7 Qn: What is 271038 to the power of 1/8, to the nearest integer? Hence: 5 Qn: What is 2015897002 to the power of 1/3, to the nearest integer? Hence: 1263 Qn: What is 2388612292 to the power of 1/5, to the nearest integer? Hence: 75 Qn: What is the square root of 650291 to the nearest integer? Hence: 806 Qn: What is 3247009 to the power of 1/3, to the nearest integer? Hence: 148 Qn: What is 4132 to the power of 1/3, to the nearest integer? Hence: 16 Qn: What is the fourth root of 22964474 to the nearest integer? Hence: 69 Qn: What is 13668086 to the
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numbers: gcd ------------ Q: What is the highest common divisor of 95 and 2394? Sol: 19 Q: Calculate the greatest common divisor of 227509 and 9289739. Sol: 1271 Q: What is the greatest common divisor of 4 and 972? Sol: 4 Q: Calculate the greatest common factor of 202 and 153722. Sol: 202 Q: What is the highest common factor of 98 and 338775955? Sol: 49 Q: Calculate the highest common factor of 219 and 118818. Sol: 3 Q: What is the highest common factor of 43396 and 20? Sol: 4 Q: Calculate the greatest common factor of 201 and 3. Sol: 3 Q: Calculate the highest common factor of 3688 and 800. Sol: 8 Q: What is the highest common factor of 112847 and 1974? Sol: 329 Q: What is the highest common factor of 8088 and 48? Sol: 24 Q: Calculate the greatest common factor of 175564 and 4. Sol: 4 Q: Calculate the greatest common factor of 30699 and 31457. Sol: 379 Q: What is the highest common factor of 10 and 3145? Sol: 5 Q: Calculate the greatest common factor of 127162896 and 21. Sol: 21 Q: What is the highest common factor of 66 and 3594? Sol: 6 Q: Calculate the highest common factor of 946 and 22. Sol: 22 Q: What is the greatest common divisor of 68 and 34? Sol: 34 Q: What is the greatest common factor of 710 and 2420106? Sol: 142 Q: Calculate the greatest common divisor of 75938 and 430. Sol: 86 Q: Calculate the greatest common factor of 12 and 768. Sol: 12 Q: Calculate the greatest common factor of 132 and 12. Sol: 12 Q: What is the greatest common divisor of 90 and 1520? Sol: 10 Q: Calculate the greatest common factor of 503999874 and 18676. Sol: 9338 Q: Calculate the greatest common factor of 2 and 38. Sol: 2 Q: Calculate the greatest common divisor of 150560 and 160. Sol: 160 Q: What is the greatest common factor of 60 and 165450? Sol: 30 Q: Calculate the highest common factor of 78 and 33982. Sol: 26 Q: What is the greatest common divisor of 15 and 19? Sol: 1 Q: Calculate the highest common divisor of 7 and 3805. Sol: 1 Q: What is the greatest common factor of 34419
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numbers: place value -------------------- Q: What is the hundreds digit of 595? A: 5 Q: What is the ten thousands digit of 663030? A: 6 Q: What is the hundred millions digit of 571844325? A: 5 Q: What is the ten millions digit of 706965465? A: 0 Q: What is the units digit of 701020987? A: 7 Q: What is the tens digit of 29805248? A: 4 Q: What is the ten thousands digit of 92379? A: 9 Q: What is the hundreds digit of 16441? A: 4 Q: What is the hundreds digit of 5731? A: 7 Q: What is the ten millions digit of 11982360? A: 1 Q: What is the hundreds digit of 1242492671? A: 6 Q: What is the hundred thousands digit of 3290053? A: 2 Q: What is the millions digit of 741383191? A: 1 Q: What is the hundred thousands digit of 29928727? A: 9 Q: What is the billions digit of 2234876283? A: 2 Q: What is the ten thousands digit of 131499? A: 3 Q: What is the hundred millions digit of 510840028? A: 5 Q: What is the tens digit of 1150? A: 5 Q: What is the units digit of 4263968? A: 8 Q: What is the ten thousands digit of 2196069955? A: 6 Q: What is the ten thousands digit of 1907380160? A: 8 Q: What is the thousands digit of 6069? A: 6 Q: What is the tens digit of 156771339? A: 3 Q: What is the units digit of 19585338? A: 8 Q: What is the units digit of 1787? A: 7 Q: What is the units digit of 987? A: 7 Q: What is the units digit of 2509239413? A: 3 Q: What is the hundreds digit of 3197? A: 1 Q: What is the thousands digit of 67267206? A: 7 Q: What is the hundred thousands digit of 114042? A: 1 Q: What is the hundreds digit of 1159? A: 1 Q: What is the units digit of 10002505? A: 5 Q: What is the thousands digit of 46550404? A: 0 Q: What is the units digit of 497548787? A: 7 Q: What is the thousands digit of 161275? A: 1 Q: What is the ten thousands digit of 2591399897? A: 9 Q: What is the units digit of 30619? A: 9 Q: What is the hundred thousands digit of 6695205? A: 6 Q: What is the tens digit of 2767? A: 6 Q: What is the tens digit of 31706193? A: 9 Q: What is the tens digit of 5
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probability: swr p sequence --------------------------- Exercise: What is prob of sequence dd when two letters picked without replacement from {g: 4, h: 1, k: 1, d: 2, m: 1}? Sol: 1/36 Exercise: What is prob of sequence jj when two letters picked without replacement from {j: 9}? Sol: 1 Exercise: Calculate prob of sequence bbe when three letters picked without replacement from {i: 3, b: 2, l: 1, e: 4, u: 2}. Sol: 1/165 Exercise: Calculate prob of sequence rh when two letters picked without replacement from {z: 1, h: 2, r: 4}. Sol: 4/21 Exercise: Two letters picked without replacement from swwwsfsffwwsfww. Give prob of sequence ww. Sol: 1/5 Exercise: Two letters picked without replacement from nnnhphnnpzutz. What is prob of sequence hp? Sol: 1/39 Exercise: Three letters picked without replacement from {k: 3, h: 5, r: 1, n: 1, q: 2, e: 1}. Give prob of sequence kne. Sol: 1/572 Exercise: What is prob of sequence tet when three letters picked without replacement from {e: 2, b: 1, t: 1, x: 4, y: 2}? Sol: 0 Exercise: What is prob of sequence by when two letters picked without replacement from bbyxhxyybebbqeb? Sol: 3/35 Exercise: Three letters picked without replacement from {c: 9, q: 5, z: 2}. What is prob of sequence czc? Sol: 3/70 Exercise: Three letters picked without replacement from kxkvkkkkvxdxvxkkxdv. Give prob of sequence kvd. Sol: 32/2907 Exercise: Four letters picked without replacement from vbvvvbyyvvyv. Give prob of sequence vbyv. Sol: 7/330 Exercise: Three letters picked without replacement from {a: 2, l: 1, o: 1, e: 1}. Give prob of sequence eoa. Sol: 1/30 Exercise: Four letters picked without replacement from yqnyqneqeqeyeqq. What is prob of sequence ynqe? Sol: 2/455 Exercise: Two letters picked without replacement from weeuewuwew. Give prob of sequence ee. Sol: 2/15 Exercise: Calculate prob of sequence xo when two letters picked without replacement from onnxeeior. Sol: 1/36 Exercise: What is prob of sequence kkk when three letters picked without replacement
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measurement: time ----------------- Conundrum: How many minutes are there between 11:13 PM and 8:08 AM? Output: 535 Conundrum: How many minutes are there between 2:58 PM and 12:43 AM? Output: 585 Conundrum: What is 96 minutes before 2:27 PM? Output: 12:51 PM Conundrum: How many minutes are there between 10:09 AM and 9:37 PM? Output: 688 Conundrum: How many minutes are there between 6:30 PM and 3:14 AM? Output: 524 Conundrum: What is 538 minutes before 12:49 PM? Output: 3:51 AM Conundrum: What is 295 minutes after 6:04 PM? Output: 10:59 PM Conundrum: What is 303 minutes after 6:41 AM? Output: 11:44 AM Conundrum: How many minutes are there between 8:28 PM and 4:07 AM? Output: 459 Conundrum: How many minutes are there between 12:46 AM and 6:06 AM? Output: 320 Conundrum: How many minutes are there between 7:49 PM and 10:22 PM? Output: 153 Conundrum: What is 372 minutes after 1:25 AM? Output: 7:37 AM Conundrum: How many minutes are there between 7:12 PM and 6:21 AM? Output: 669 Conundrum: How many minutes are there between 1:24 PM and 11:07 PM? Output: 583 Conundrum: How many minutes are there between 12:45 AM and 5:34 AM? Output: 289 Conundrum: How many minutes are there between 4:43 PM and 3:50 AM? Output: 667 Conundrum: How many minutes are there between 1:45 PM and 5:48 PM? Output: 243 Conundrum: What is 570 minutes after 5:08 AM? Output: 2:38 PM Conundrum: How many minutes are there between 2:13 PM and 2:57 PM? Output: 44 Conundrum: How many minutes are there between 1:35 PM and 10:02 PM? Output: 507 Conundrum: What is 592 minutes before 4:16 AM? Output: 6:24 PM Conundrum: What is 661 minutes after 7:40 PM? Output: 6:41 AM Conundrum: How many minutes are there between 2:55 AM and 5:33 AM? Output: 158 Conundrum: What is 120 minutes before 4:34 PM? Output: 2:34 PM Conundrum: How many minutes are there between 4:20 AM and 11:30 AM? Output: 430 Conundrum: What is 223 minutes before 3:09 AM? Output: 11:26 PM Conundrum: How many minutes are there between 12:52 PM and 12:2
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probability: swr p level set ---------------------------- Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from ssznfsszsbzzszszzssz. Calculation: 7/285 Question: Three letters picked without replacement from ggdme. Give prob of picking 1 g, 1 d, and 1 e. Calculation: 1/5 Question: Three letters picked without replacement from {y: 2, a: 17}. What is prob of picking 2 y and 1 a? Calculation: 1/57 Question: What is prob of picking 2 h, 1 i, and 1 s when four letters picked without replacement from {d: 1, h: 2, s: 7, i: 7}? Calculation: 7/340 Question: Calculate prob of picking 2 n and 1 c when three letters picked without replacement from lxxxnoncnnolonxllonl. Calculation: 1/76 Question: Three letters picked without replacement from {b: 4, e: 2, c: 12, l: 1}. Give prob of picking 1 l and 2 e. Calculation: 1/969 Question: Three letters picked without replacement from {o: 1, j: 3, v: 11}. What is prob of picking 2 v and 1 o? Calculation: 11/91 Question: What is prob of picking 2 v when two letters picked without replacement from {r: 2, f: 2, v: 3, w: 5}? Calculation: 1/22 Question: Four letters picked without replacement from {l: 4, h: 1, f: 1, j: 5}. Give prob of picking 1 l, 2 j, and 1 f. Calculation: 4/33 Question: Four letters picked without replacement from {y: 1, u: 3, p: 1, i: 2}. What is prob of picking 2 i, 1 u, and 1 p? Calculation: 3/35 Question: Four letters picked without replacement from {g: 4, c: 1, u: 3, l: 1, f: 1, m: 2}. Give prob of picking 3 f and 1 u. Calculation: 0 Question: Two letters picked without replacement from {q: 1, r: 12, w: 3}. Give prob of picking 2 w. Calculation: 1/40 Question: Calculate prob of picking 2 w and 1 u when three letters picked without replacement from {n: 3, u: 6, w: 7, q: 1}. Calculation: 63/340 Question: What is prob of picking 1 a and 2 s when three letters picked without replacement from eeeerasarsea? Calculation: 3/220 Question: Four letters picked without replacement fro
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numbers: is prime ----------------- Exercise: Is 303139 prime? Eval: True Exercise: Is 6926582093 a prime number? Eval: True Exercise: Is 41303 prime? Eval: False Exercise: Is 2485850491 prime? Eval: True Exercise: Is 13238207 a prime number? Eval: True Exercise: Is 895643803 prime? Eval: False Exercise: Is 1065763 composite? Eval: False Exercise: Is 6447332261 composite? Eval: False Exercise: Is 6933041 a prime number? Eval: True Exercise: Is 356429083 a composite number? Eval: False Exercise: Is 23354237 a prime number? Eval: True Exercise: Is 69531385173 composite? Eval: True Exercise: Is 49727 prime? Eval: True Exercise: Is 150431 a prime number? Eval: True Exercise: Is 56052355627 composite? Eval: False Exercise: Is 114151 prime? Eval: False Exercise: Is 248047 composite? Eval: True Exercise: Is 21439 a composite number? Eval: True Exercise: Is 1279229 composite? Eval: True Exercise: Is 1884287137 a prime number? Eval: False Exercise: Is 4117409 a composite number? Eval: False Exercise: Is 989784919 composite? Eval: False Exercise: Is 1805853037 composite? Eval: True Exercise: Is 295975387 composite? Eval: False Exercise: Is 1043476453 prime? Eval: True Exercise: Is 11489957 a prime number? Eval: True Exercise: Is 1704640973 a prime number? Eval: False Exercise: Is 63175546169 a composite number? Eval: False Exercise: Is 444242671 a prime number? Eval: True Exercise: Is 488557 a composite number? Eval: True Exercise: Is 8639 a prime number? Eval: False Exercise: Is 59275222487 a prime number? Eval: False Exercise: Is 5063557981 a prime number? Eval: True Exercise: Is 587128301 prime? Eval: False Exercise: Is 65167 composite? Eval: False Exercise: Is 180143334049 a prime number? Eval: False Exercise: Is 152895198635 composite? Eval: True Exercise: Is 4024942 composite? Eval: True Exercise: Is 799 a composite number? Eval: True Exercise: Is 1624442273 composite? Eval: False Exercise: Is 2321 a composite number? Eval: True Exercise: Is 374517161 a composite number
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probability: swr p level set ---------------------------- Test item: Two letters picked without replacement from {o: 8, f: 2}. What is prob of picking 2 f? Thus: 1/45 Test item: Two letters picked without replacement from mkkdkumdddkukkkmkmke. What is prob of picking 1 u and 1 d? Thus: 4/95 Test item: Calculate prob of picking 2 a and 2 q when four letters picked without replacement from aoaaqnnaaqoqaagma. Thus: 3/85 Test item: Two letters picked without replacement from ymyy. What is prob of picking 2 y? Thus: 1/2 Test item: Two letters picked without replacement from {f: 1, w: 1, h: 2, e: 1, i: 1, a: 1}. Give prob of picking 1 e and 1 h. Thus: 2/21 Test item: Four letters picked without replacement from {v: 7, u: 4}. What is prob of picking 4 v? Thus: 7/66 Test item: Three letters picked without replacement from ladoddloglzlllo. Give prob of picking 2 l and 1 g. Thus: 3/91 Test item: Three letters picked without replacement from {e: 6, x: 4, m: 3, r: 1, k: 2, c: 2}. Give prob of picking 2 x and 1 m. Thus: 3/136 Test item: Four letters picked without replacement from {y: 2, e: 5, j: 1, s: 1, f: 1}. What is prob of picking 3 e and 1 f? Thus: 1/21 Test item: Four letters picked without replacement from {w: 2, p: 11}. Give prob of picking 3 p and 1 w. Thus: 6/13 Test item: Two letters picked without replacement from djjhhjjjjdj. Give prob of picking 2 h. Thus: 1/55 Test item: What is prob of picking 1 o and 1 b when two letters picked without replacement from {o: 2, l: 1, j: 1, f: 2, b: 2}? Thus: 1/7 Test item: What is prob of picking 2 x and 1 k when three letters picked without replacement from {e: 1, k: 2, t: 1, x: 2, r: 2}? Thus: 1/28 Test item: Calculate prob of picking 2 w when two letters picked without replacement from iinwhwhwwwhwicnchh. Thus: 5/51 Test item: Calculate prob of picking 1 a, 1 u, and 1 t when three letters picked without replacement from llootatotulluuou. Thus: 3/140 Test item: What is prob of picking 1 u, 1 i, and 1 z when three letters picked
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numbers: is factor ------------------ Task: Is 169498412 a multiple of 32? Resolution: False Task: Is 138 a factor of 1242? Resolution: True Task: Is 4 a factor of 15482? Resolution: False Task: Does 33 divide 3762? Resolution: True Task: Is 347 a factor of 1054858313? Resolution: False Task: Is 809508 a multiple of 6? Resolution: True Task: Is 58 a factor of 25461308? Resolution: False Task: Is 84 a factor of 24780? Resolution: True Task: Is 39 a factor of 3180723? Resolution: True Task: Is 2030 a multiple of 7? Resolution: True Task: Does 23 divide 17355? Resolution: False Task: Is 4 a factor of 212? Resolution: True Task: Is 696663864 a multiple of 8? Resolution: True Task: Does 43 divide 1376? Resolution: True Task: Is 125 a factor of 332595? Resolution: False Task: Is 9 a factor of 74690? Resolution: False Task: Is 37 a factor of 524708699? Resolution: False Task: Is 24816 a multiple of 24? Resolution: True Task: Is 73 a factor of 8468? Resolution: True Task: Does 3 divide 1662? Resolution: True Task: Is 971992224 a multiple of 1764? Resolution: True Task: Does 29 divide 1483297? Resolution: False Task: Is 525123772 a multiple of 742? Resolution: False Task: Is 10 a factor of 148719? Resolution: False Task: Is 782212 a multiple of 291? Resolution: False Task: Is 619565 a multiple of 85? Resolution: True Task: Is 3557 a multiple of 2? Resolution: False Task: Does 26 divide 753885? Resolution: False Task: Is 1188 a factor of 1707698916? Resolution: True Task: Is 31 a factor of 5385827? Resolution: False Task: Is 71 a multiple of 5? Resolution: False Task: Does 16 divide 438? Resolution: False Task: Does 338 divide 140270? Resolution: True Task: Is 3475783 a multiple of 23? Resolution: True Task: Is 8 a factor of 96621? Resolution: False Task: Is 1038779 a multiple of 31? Resolution: True Task: Is 60 a factor of 5089? Resolution: False Task: Does 4397 divide 503938799? Resolution: False Task: Is 13208 a multiple of 10? Resolution: False Task: Does 12 divide 416748
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probability: swr p sequence --------------------------- Exercise: Two letters picked without replacement from {i: 5, p: 5, v: 1, c: 2, q: 1, x: 2}. Give prob of sequence qi. Ans: 1/48 Exercise: Two letters picked without replacement from {d: 2, e: 4, b: 2, u: 1}. Give prob of sequence dd. Ans: 1/36 Exercise: Two letters picked without replacement from {b: 6, n: 1, d: 2, f: 7, o: 1}. What is prob of sequence df? Ans: 7/136 Exercise: Two letters picked without replacement from zgggjggzsgzgzgk. What is prob of sequence gg? Ans: 4/15 Exercise: Three letters picked without replacement from mcwwm. Give prob of sequence mww. Ans: 1/15 Exercise: Calculate prob of sequence ief when three letters picked without replacement from {e: 2, i: 1, a: 2, j: 1, f: 2}. Ans: 1/84 Exercise: Two letters picked without replacement from hxkpmhxpppxpxphxx. Give prob of sequence mk. Ans: 1/272 Exercise: What is prob of sequence rq when two letters picked without replacement from qrrssh? Ans: 1/15 Exercise: Two letters picked without replacement from faaifaa. What is prob of sequence ia? Ans: 2/21 Exercise: Two letters picked without replacement from dcj. Give prob of sequence dd. Ans: 0 Exercise: What is prob of sequence dee when three letters picked without replacement from eweeddddw? Ans: 1/21 Exercise: Calculate prob of sequence ctt when three letters picked without replacement from {t: 7, c: 12}. Ans: 28/323 Exercise: What is prob of sequence bxxb when four letters picked without replacement from {b: 7, x: 3}? Ans: 1/20 Exercise: What is prob of sequence dobh when four letters picked without replacement from chpddob? Ans: 1/420 Exercise: Two letters picked without replacement from tptpopuputpttupppp. What is prob of sequence ot? Ans: 5/306 Exercise: Three letters picked without replacement from {i: 2, z: 1, n: 4, m: 7}. Give prob of sequence mnm. Ans: 1/13 Exercise: Four letters picked without replacement from atutthahtbtt. What is prob of sequence auat? Ans: 1/990 Exercise: Three letters
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numbers: lcm ------------ Given: What is the least common multiple of 592658 and 80817? Clarification: 1777974 Given: What is the common denominator of -35/100914 and -33/16958? Clarification: 6155754 Given: Calculate the smallest common multiple of 128 and 16. Clarification: 128 Given: What is the least common multiple of 26 and 246730? Clarification: 3207490 Given: Find the common denominator of -59/6728056 and 5/7569063. Clarification: 60552504 Given: What is the common denominator of -91/276 and 89/36? Clarification: 828 Given: What is the smallest common multiple of 36 and 2809840? Clarification: 25288560 Given: Find the common denominator of 39/19 and 43/342. Clarification: 342 Given: What is the least common multiple of 44 and 18? Clarification: 396 Given: What is the smallest common multiple of 6 and 117? Clarification: 234 Given: Find the common denominator of 163/90 and 71/108965400. Clarification: 326896200 Given: Calculate the smallest common multiple of 3 and 299. Clarification: 897 Given: Calculate the lowest common multiple of 35 and 1286860. Clarification: 9008020 Given: Calculate the smallest common multiple of 1776 and 222. Clarification: 1776 Given: Find the common denominator of -5/12272 and 67/81120. Clarification: 4786080 Given: Calculate the least common multiple of 578 and 84776. Clarification: 24500264 Given: Find the common denominator of 47/140 and -57/656. Clarification: 22960 Given: Find the common denominator of 95/416 and -87/8996. Clarification: 71968 Given: Calculate the smallest common multiple of 25014836 and 6066. Clarification: 225133524 Given: What is the least common multiple of 102 and 348? Clarification: 5916 Given: What is the least common multiple of 240 and 240? Clarification: 240 Given: Calculate the common denominator of -19/1460876 and 121/36. Clarification: 13147884 Given: What is the lowest common multiple of 43017359 and 32417? Clarification: 43017359 Given: Calculate the common denominator of -39/7 and -68/142396785
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probability: swr p sequence --------------------------- Request: What is prob of sequence jkh when three letters picked without replacement from jrckckrccjhckhckck? Soln: 5/1224 Request: What is prob of sequence udu when three letters picked without replacement from {k: 2, u: 10, d: 3}? Soln: 9/91 Request: Calculate prob of sequence htvw when four letters picked without replacement from wwvhtowhhuhhw. Soln: 1/858 Request: Calculate prob of sequence ctll when four letters picked without replacement from ctvtvvltttll. Soln: 1/396 Request: Two letters picked without replacement from iwsmv. What is prob of sequence wm? Soln: 1/20 Request: Three letters picked without replacement from vvvddvvvvd. What is prob of sequence vdv? Soln: 7/40 Request: Three letters picked without replacement from {a: 11, p: 3, b: 1}. What is prob of sequence abp? Soln: 11/910 Request: Calculate prob of sequence qu when two letters picked without replacement from qquququeq. Soln: 5/24 Request: What is prob of sequence dg when two letters picked without replacement from gdmdgmdm? Soln: 3/28 Request: Two letters picked without replacement from miiif. Give prob of sequence fm. Soln: 1/20 Request: Calculate prob of sequence bbb when three letters picked without replacement from {o: 4, j: 1, b: 3, q: 6}. Soln: 1/364 Request: What is prob of sequence sree when four letters picked without replacement from nvsqnsnresqvnsnes? Soln: 1/5712 Request: Three letters picked without replacement from {y: 1, d: 4, j: 5, r: 3}. Give prob of sequence jyj. Soln: 5/429 Request: What is prob of sequence hm when two letters picked without replacement from {h: 4, p: 7, m: 4, e: 2, k: 2, c: 1}? Soln: 4/95 Request: Calculate prob of sequence wj when two letters picked without replacement from jwfdwjfffww. Soln: 4/55 Request: What is prob of sequence qq when two letters picked without replacement from qlggguq? Soln: 1/21 Request: Calculate prob of sequence ah when two letters picked without replacement from aaahaaaahaaa.
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numbers: lcm ------------ Statement: Calculate the lowest common multiple of 152856 and 152856. Response: 152856 Statement: Calculate the common denominator of 71/9 and 67/6224361. Response: 18673083 Statement: What is the common denominator of -137/402 and 59/2144? Response: 6432 Statement: What is the smallest common multiple of 1532 and 5362? Response: 10724 Statement: What is the smallest common multiple of 152 and 380? Response: 760 Statement: What is the smallest common multiple of 93493400 and 667810? Response: 93493400 Statement: Calculate the least common multiple of 29354 and 18064. Response: 234832 Statement: What is the common denominator of -5/9 and -91/7515? Response: 7515 Statement: What is the lowest common multiple of 123487 and 6? Response: 740922 Statement: What is the smallest common multiple of 116 and 290? Response: 580 Statement: Find the common denominator of -121/48 and 41/24. Response: 48 Statement: What is the least common multiple of 36099378 and 157869? Response: 108298134 Statement: Calculate the least common multiple of 135 and 3267. Response: 16335 Statement: Calculate the common denominator of -77/26034 and 9/34712. Response: 104136 Statement: Calculate the common denominator of -43/4282933 and 12/263197. Response: 47112263 Statement: Find the common denominator of -24/44275 and -179/330. Response: 265650 Statement: Calculate the common denominator of -47/181203 and -85/1287. Response: 7066917 Statement: What is the lowest common multiple of 6591 and 13845? Response: 2339805 Statement: Calculate the lowest common multiple of 24 and 40. Response: 120 Statement: Calculate the least common multiple of 56 and 24766. Response: 99064 Statement: Calculate the least common multiple of 32 and 128. Response: 128 Statement: What is the least common multiple of 3224 and 310? Response: 16120 Statement: Calculate the least common multiple of 52935 and 245. Response: 2593815 Statement: Find the common denominator of -55/8 and 1/32366. Response: 129
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probability: swr p level set ---------------------------- Problem Statement: Three letters picked without replacement from {k: 3, j: 3, v: 1, z: 8, d: 1, l: 3}. What is prob of picking 1 d and 2 l? Therefore: 1/323 Problem Statement: What is prob of picking 2 t and 2 e when four letters picked without replacement from {e: 4, a: 3, t: 2, x: 1, m: 1}? Therefore: 1/55 Problem Statement: Calculate prob of picking 1 l, 1 o, and 2 i when four letters picked without replacement from lolililllllloil. Therefore: 4/91 Problem Statement: Three letters picked without replacement from {h: 8, m: 5, j: 2, w: 4}. Give prob of picking 1 j and 2 m. Therefore: 20/969 Problem Statement: Calculate prob of picking 3 d and 1 m when four letters picked without replacement from mddddzz. Therefore: 4/35 Problem Statement: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from fuzxuxfsr. Therefore: 1/36 Problem Statement: Calculate prob of picking 1 i and 3 x when four letters picked without replacement from iixiixxi. Therefore: 1/14 Problem Statement: Three letters picked without replacement from {h: 5, d: 1, y: 1, v: 1, f: 4}. Give prob of picking 1 v, 1 d, and 1 y. Therefore: 1/220 Problem Statement: Four letters picked without replacement from {v: 12, t: 7}. Give prob of picking 3 t and 1 v. Therefore: 35/323 Problem Statement: What is prob of picking 1 r and 1 a when two letters picked without replacement from haaaarbrzazrcaczab? Therefore: 7/51 Problem Statement: Calculate prob of picking 1 s, 1 e, and 2 m when four letters picked without replacement from smseom. Therefore: 2/15 Problem Statement: Two letters picked without replacement from uexreeh. What is prob of picking 1 u and 1 h? Therefore: 1/21 Problem Statement: Two letters picked without replacement from {f: 3, a: 6, x: 1, n: 1, r: 3, q: 1}. Give prob of picking 1 n and 1 a. Therefore: 2/35 Problem Statement: Three letters picked without replacement from dcdczddzddcdz. What is prob of picking 3 d
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numbers: div remainder ---------------------- Q: What is the remainder when 194 is divided by 51? Derivation: 41 Q: What is the remainder when 70 is divided by 14? Derivation: 0 Q: What is the remainder when 1703 is divided by 18? Derivation: 11 Q: Calculate the remainder when 185704255 is divided by 7378. Derivation: 7373 Q: What is the remainder when 22143 is divided by 78? Derivation: 69 Q: What is the remainder when 427 is divided by 115? Derivation: 82 Q: What is the remainder when 67463 is divided by 7? Derivation: 4 Q: What is the remainder when 1171 is divided by 9? Derivation: 1 Q: What is the remainder when 94919547 is divided by 64? Derivation: 59 Q: What is the remainder when 1609338 is divided by 24758? Derivation: 68 Q: Calculate the remainder when 4407 is divided by 1133. Derivation: 1008 Q: What is the remainder when 25027 is divided by 27? Derivation: 25 Q: What is the remainder when 245699 is divided by 245683? Derivation: 16 Q: What is the remainder when 721464 is divided by 19? Derivation: 15 Q: What is the remainder when 117113 is divided by 486? Derivation: 473 Q: Calculate the remainder when 41312 is divided by 6877. Derivation: 50 Q: Calculate the remainder when 140480 is divided by 27362. Derivation: 3670 Q: What is the remainder when 27081094 is divided by 487? Derivation: 485 Q: Calculate the remainder when 1769693 is divided by 888. Derivation: 797 Q: What is the remainder when 1467942 is divided by 91746? Derivation: 6 Q: What is the remainder when 1738384 is divided by 434596? Derivation: 0 Q: What is the remainder when 27319 is divided by 781? Derivation: 765 Q: Calculate the remainder when 6862 is divided by 39. Derivation: 37 Q: What is the remainder when 74981 is divided by 12140? Derivation: 2141 Q: What is the remainder when 1081015 is divided by 360337? Derivation: 4 Q: Calculate the remainder when 819 is divided by 537. Derivation: 282 Q: Calculate the remainder when 78160 is divided by 7816. Derivation: 0 Q: Calculate the remai
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numbers: place value -------------------- Prompt: What is the hundreds digit of 201? Solution: 2 Prompt: What is the hundreds digit of 16428? Solution: 4 Prompt: What is the ten thousands digit of 84130? Solution: 8 Prompt: What is the ten thousands digit of 49775822? Solution: 7 Prompt: What is the units digit of 2236018701? Solution: 1 Prompt: What is the ten thousands digit of 524798? Solution: 2 Prompt: What is the tens digit of 961? Solution: 6 Prompt: What is the tens digit of 2316? Solution: 1 Prompt: What is the hundred thousands digit of 2489706342? Solution: 7 Prompt: What is the hundreds digit of 3988? Solution: 9 Prompt: What is the hundreds digit of 736? Solution: 7 Prompt: What is the ten thousands digit of 852244? Solution: 5 Prompt: What is the hundred millions digit of 5420598857? Solution: 4 Prompt: What is the hundreds digit of 18047048? Solution: 0 Prompt: What is the tens digit of 13312740? Solution: 4 Prompt: What is the thousands digit of 17817705? Solution: 7 Prompt: What is the ten millions digit of 781959494? Solution: 8 Prompt: What is the units digit of 321175? Solution: 5 Prompt: What is the tens digit of 388484? Solution: 8 Prompt: What is the hundred thousands digit of 1394597517? Solution: 5 Prompt: What is the units digit of 449? Solution: 9 Prompt: What is the tens digit of 10715? Solution: 1 Prompt: What is the millions digit of 50587398? Solution: 0 Prompt: What is the ten millions digit of 20483773? Solution: 2 Prompt: What is the hundreds digit of 517068? Solution: 0 Prompt: What is the hundreds digit of 133859961? Solution: 9 Prompt: What is the units digit of 1935? Solution: 5 Prompt: What is the ten thousands digit of 776849? Solution: 7 Prompt: What is the units digit of 168? Solution: 8 Prompt: What is the ten thousands digit of 114023? Solution: 1 Prompt: What is the hundreds digit of 3782? Solution: 7 Prompt: What is the tens digit of 176719337? Solution: 3 Prompt: What is the thousands digit of 20160? Solution: 0 Prompt:
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numbers: place value -------------------- Puzzle: What is the hundred millions digit of 2478765888? Result: 4 Puzzle: What is the units digit of 62112? Result: 2 Puzzle: What is the ten thousands digit of 11799? Result: 1 Puzzle: What is the units digit of 2244106561? Result: 1 Puzzle: What is the thousands digit of 3065767? Result: 5 Puzzle: What is the tens digit of 143743? Result: 4 Puzzle: What is the hundreds digit of 201795? Result: 7 Puzzle: What is the hundreds digit of 12852736? Result: 7 Puzzle: What is the hundreds digit of 417? Result: 4 Puzzle: What is the hundreds digit of 9023977? Result: 9 Puzzle: What is the ten thousands digit of 174945431? Result: 4 Puzzle: What is the hundreds digit of 31825? Result: 8 Puzzle: What is the thousands digit of 9567272? Result: 7 Puzzle: What is the hundreds digit of 347991043? Result: 0 Puzzle: What is the thousands digit of 9726? Result: 9 Puzzle: What is the millions digit of 2492705? Result: 2 Puzzle: What is the hundred thousands digit of 1867431466? Result: 4 Puzzle: What is the thousands digit of 3234? Result: 3 Puzzle: What is the units digit of 20959991? Result: 1 Puzzle: What is the units digit of 192890239? Result: 9 Puzzle: What is the units digit of 5436? Result: 6 Puzzle: What is the units digit of 638? Result: 8 Puzzle: What is the hundred thousands digit of 10651073? Result: 6 Puzzle: What is the hundred millions digit of 575359428? Result: 5 Puzzle: What is the units digit of 2427? Result: 7 Puzzle: What is the hundreds digit of 672923? Result: 9 Puzzle: What is the units digit of 363098? Result: 8 Puzzle: What is the tens digit of 17902? Result: 0 Puzzle: What is the hundreds digit of 459290321? Result: 3 Puzzle: What is the tens digit of 13641989? Result: 8 Puzzle: What is the tens digit of 1015? Result: 1 Puzzle: What is the ten thousands digit of 10273899? Result: 7 Puzzle: What is the tens digit of 177719? Result: 1 Puzzle: What is the hundred thousands digit of 14253067? Result: 2 Puzzle: What
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numbers: div remainder ---------------------- Problem: What is the remainder when 38714 is divided by 11671? Reply: 3701 Problem: What is the remainder when 1293 is divided by 429? Reply: 6 Problem: Calculate the remainder when 305 is divided by 80. Reply: 65 Problem: What is the remainder when 20252458 is divided by 4050482? Reply: 48 Problem: What is the remainder when 5854 is divided by 451? Reply: 442 Problem: Calculate the remainder when 3601885 is divided by 42. Reply: 7 Problem: Calculate the remainder when 113554 is divided by 55778. Reply: 1998 Problem: What is the remainder when 78786 is divided by 232? Reply: 138 Problem: Calculate the remainder when 247636 is divided by 24. Reply: 4 Problem: Calculate the remainder when 555337 is divided by 337. Reply: 298 Problem: Calculate the remainder when 7506 is divided by 6528. Reply: 978 Problem: Calculate the remainder when 4897 is divided by 78. Reply: 61 Problem: Calculate the remainder when 7859 is divided by 281. Reply: 272 Problem: Calculate the remainder when 358985631 is divided by 32. Reply: 31 Problem: What is the remainder when 65813 is divided by 10924? Reply: 269 Problem: What is the remainder when 753 is divided by 109? Reply: 99 Problem: Calculate the remainder when 2073 is divided by 259. Reply: 1 Problem: What is the remainder when 6240 is divided by 148? Reply: 24 Problem: Calculate the remainder when 11571 is divided by 154. Reply: 21 Problem: Calculate the remainder when 14378 is divided by 1019. Reply: 112 Problem: Calculate the remainder when 63194 is divided by 15756. Reply: 170 Problem: Calculate the remainder when 1154424 is divided by 73. Reply: 2 Problem: Calculate the remainder when 56158 is divided by 7. Reply: 4 Problem: Calculate the remainder when 4038 is divided by 3853. Reply: 185 Problem: What is the remainder when 1504 is divided by 226? Reply: 148 Problem: What is the remainder when 134052 is divided by 44657? Reply: 81 Problem: What is the remainder when 1338018 is divided by
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numbers: is prime ----------------- Math Q: Is 26947 a prime number? Final Answer: True Math Q: Is 116867203049 prime? Final Answer: False Math Q: Is 6749 composite? Final Answer: True Math Q: Is 15611 prime? Final Answer: False Math Q: Is 802253 composite? Final Answer: False Math Q: Is 8467 a prime number? Final Answer: True Math Q: Is 47522 a composite number? Final Answer: True Math Q: Is 63856769 a prime number? Final Answer: True Math Q: Is 4733011 a prime number? Final Answer: True Math Q: Is 670486871 a composite number? Final Answer: False Math Q: Is 136216029407 a composite number? Final Answer: False Math Q: Is 63272491 a prime number? Final Answer: False Math Q: Is 5980125367 prime? Final Answer: False Math Q: Is 36812623 a composite number? Final Answer: False Math Q: Is 202921 composite? Final Answer: False Math Q: Is 158135 prime? Final Answer: False Math Q: Is 337815501 composite? Final Answer: True Math Q: Is 44530351361 prime? Final Answer: False Math Q: Is 534194 prime? Final Answer: False Math Q: Is 5286139229 prime? Final Answer: False Math Q: Is 20377329491 composite? Final Answer: False Math Q: Is 745151137 prime? Final Answer: False Math Q: Is 1990069 a prime number? Final Answer: True Math Q: Is 5069 composite? Final Answer: True Math Q: Is 3011989 a composite number? Final Answer: False Math Q: Is 7971985361 composite? Final Answer: True Math Q: Is 35051227 a composite number? Final Answer: True Math Q: Is 10365679 a prime number? Final Answer: True Math Q: Is 20143 a prime number? Final Answer: True Math Q: Is 25369540585 composite? Final Answer: True Math Q: Is 6958649 a prime number? Final Answer: True Math Q: Is 53125397131 composite? Final Answer: True Math Q: Is 77854248179 a prime number? Final Answer: False Math Q: Is 7749368161 prime? Final Answer: False Math Q: Is 806138614 prime? Final Answer: False Math Q: Is 16624999 composite? Final Answer: False Math Q: Is 4846959431 prime? Final Answer: True Math Q: Is 2129 a prime number? F
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numbers: place value -------------------- Q=: What is the thousands digit of 1186? Output: 1 Q=: What is the hundreds digit of 3090833? Output: 8 Q=: What is the tens digit of 512? Output: 1 Q=: What is the ten thousands digit of 2409902483? Output: 0 Q=: What is the units digit of 41142? Output: 2 Q=: What is the hundreds digit of 27212255? Output: 2 Q=: What is the hundred thousands digit of 1994865? Output: 9 Q=: What is the ten thousands digit of 44586? Output: 4 Q=: What is the thousands digit of 1208379795? Output: 9 Q=: What is the ten thousands digit of 316515? Output: 1 Q=: What is the units digit of 7373? Output: 3 Q=: What is the tens digit of 1068849201? Output: 0 Q=: What is the hundred thousands digit of 13960904? Output: 9 Q=: What is the units digit of 4904? Output: 4 Q=: What is the units digit of 2394725? Output: 5 Q=: What is the tens digit of 257? Output: 5 Q=: What is the thousands digit of 1981236? Output: 1 Q=: What is the ten millions digit of 38896302? Output: 3 Q=: What is the thousands digit of 315727? Output: 5 Q=: What is the units digit of 15395? Output: 5 Q=: What is the thousands digit of 2402881? Output: 2 Q=: What is the units digit of 975530? Output: 0 Q=: What is the ten thousands digit of 15975045? Output: 7 Q=: What is the thousands digit of 53920? Output: 3 Q=: What is the thousands digit of 3661562184? Output: 2 Q=: What is the hundreds digit of 14230092? Output: 0 Q=: What is the hundreds digit of 7408017? Output: 0 Q=: What is the thousands digit of 27464? Output: 7 Q=: What is the units digit of 595179? Output: 9 Q=: What is the thousands digit of 7829? Output: 7 Q=: What is the tens digit of 147213595? Output: 9 Q=: What is the thousands digit of 238797? Output: 8 Q=: What is the tens digit of 163336? Output: 3 Q=: What is the hundred thousands digit of 6104201? Output: 1 Q=: What is the ten thousands digit of 382271465? Output: 7 Q=: What is the hundreds digit of 5762? Output: 7 Q=: What is the ten thousands digit of 1770
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numbers: div remainder ---------------------- Prompt: Calculate the remainder when 2817 is divided by 160. Hence: 97 Prompt: What is the remainder when 1116 is divided by 16? Hence: 12 Prompt: What is the remainder when 381 is divided by 23? Hence: 13 Prompt: What is the remainder when 826 is divided by 46? Hence: 44 Prompt: Calculate the remainder when 32991 is divided by 2402. Hence: 1765 Prompt: What is the remainder when 240387 is divided by 2998? Hence: 547 Prompt: What is the remainder when 531 is divided by 140? Hence: 111 Prompt: What is the remainder when 9937 is divided by 9896? Hence: 41 Prompt: What is the remainder when 297 is divided by 15? Hence: 12 Prompt: Calculate the remainder when 2524750 is divided by 327. Hence: 310 Prompt: Calculate the remainder when 78 is divided by 21. Hence: 15 Prompt: Calculate the remainder when 31805 is divided by 1985. Hence: 45 Prompt: What is the remainder when 4003 is divided by 207? Hence: 70 Prompt: What is the remainder when 100 is divided by 39? Hence: 22 Prompt: Calculate the remainder when 81 is divided by 18. Hence: 9 Prompt: Calculate the remainder when 2973507 is divided by 30. Hence: 27 Prompt: Calculate the remainder when 43683004 is divided by 5277. Hence: 5275 Prompt: Calculate the remainder when 26327 is divided by 42. Hence: 35 Prompt: Calculate the remainder when 2519 is divided by 9. Hence: 8 Prompt: Calculate the remainder when 142227 is divided by 28158. Hence: 1437 Prompt: Calculate the remainder when 409 is divided by 320. Hence: 89 Prompt: What is the remainder when 312017 is divided by 580? Hence: 557 Prompt: Calculate the remainder when 39685 is divided by 126. Hence: 121 Prompt: Calculate the remainder when 3323 is divided by 247. Hence: 112 Prompt: What is the remainder when 4347 is divided by 25? Hence: 22 Prompt: What is the remainder when 7352 is divided by 209? Hence: 37 Prompt: Calculate the remainder when 6652 is divided by 860. Hence: 632 Prompt: What is the remainder when 35170036 i
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probability: swr p level set ---------------------------- What if: Calculate prob of picking 3 y when three letters picked without replacement from dvyyyvndyyyyydynyvy. Result: 55/323 What if: What is prob of picking 4 a when four letters picked without replacement from uaauaaaaauuuauauauu? Result: 35/646 What if: Four letters picked without replacement from sqnnqnnnnnnqnsnnnnqs. What is prob of picking 1 n and 3 s? Result: 13/4845 What if: Two letters picked without replacement from pnnpepepe. Give prob of picking 2 p. Result: 1/6 What if: Three letters picked without replacement from {u: 12, d: 6}. What is prob of picking 3 d? Result: 5/204 What if: What is prob of picking 1 g and 1 t when two letters picked without replacement from {g: 1, l: 1, m: 1, t: 1, y: 1}? Result: 1/10 What if: Three letters picked without replacement from iiiiidiivdiui. What is prob of picking 1 d and 2 i? Result: 36/143 What if: Four letters picked without replacement from wwbbw. Give prob of picking 2 b and 2 w. Result: 3/5 What if: What is prob of picking 1 e, 1 o, and 1 p when three letters picked without replacement from {b: 4, o: 4, p: 2, v: 3, e: 1}? Result: 2/91 What if: Four letters picked without replacement from {a: 1, r: 2, g: 1, v: 1}. Give prob of picking 4 g. Result: 0 What if: What is prob of picking 1 c and 3 y when four letters picked without replacement from zyzcyczcycyyzcy? Result: 20/273 What if: Three letters picked without replacement from {f: 3, w: 2}. Give prob of picking 1 w and 2 f. Result: 3/5 What if: What is prob of picking 1 z and 1 g when two letters picked without replacement from yxyyygzk? Result: 1/28 What if: Four letters picked without replacement from ihhttdddtddhi. What is prob of picking 1 d and 3 t? Result: 1/143 What if: What is prob of picking 1 v and 1 w when two letters picked without replacement from {o: 2, v: 7, w: 9}? Result: 7/17 What if: What is prob of picking 1 q, 1 v, 1 o, and 1 s when four letters picked without replacement from bosqsb
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measurement: conversion ----------------------- Query: What is 384.9927 centimeters in kilometers? Yields: 0.003849927 Query: What is 6301.246 tonnes in micrograms? Yields: 6301246000000000 Query: Convert 88.19487 months to decades. Yields: 0.73495725 Query: How many minutes are there in 4/7 of a week? Yields: 5760 Query: What is 11/2 of a millimeter in micrometers? Yields: 5500 Query: What is 3/50 of a kilogram in milligrams? Yields: 60000 Query: What is one fifth of a litre in millilitres? Yields: 200 Query: What is 18/5 of a litre in millilitres? Yields: 3600 Query: How many litres are there in 0.2750107ml? Yields: 0.0002750107 Query: How many centimeters are there in 3/25 of a meter? Yields: 12 Query: What is one fifth of a century in decades? Yields: 2 Query: What is seventy-two fifths of a kilogram in grams? Yields: 14400 Query: How many meters are there in 851624.5 micrometers? Yields: 0.8516245 Query: Convert 0.6009324cm to millimeters. Yields: 6.009324 Query: What is eighteen fifths of a litre in millilitres? Yields: 3600 Query: What is 5/4 of a gram in milligrams? Yields: 1250 Query: How many millilitres are there in fifteen quarters of a litre? Yields: 3750 Query: What is four thirds of a week in hours? Yields: 224 Query: Convert 387.735 kilograms to tonnes. Yields: 0.387735 Query: How many seconds are there in 3/25 of a day? Yields: 10368 Query: What is 3/40 of a gram in milligrams? Yields: 75 Query: How many microseconds are there in 842.8281ms? Yields: 842828.1 Query: What is 11/8 of a week in hours? Yields: 231 Query: What is twenty-six fifths of a litre in millilitres? Yields: 5200 Query: What is 0.468804l in millilitres? Yields: 468.804 Query: Convert 393.246 nanometers to kilometers. Yields: 0.000000000393246 Query: Convert 31.9885 days to milliseconds. Yields: 2763806400 Query: What is 441.6105nm in micrometers? Yields: 0.4416105 Query: How many seconds are there in 2/9 of a day? Yields: 19200 Query: What is 46/5 of a litre in millilitres? Yields:
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probability: swr p level set ---------------------------- Part A: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {b: 3, t: 5, x: 3, s: 1, d: 1, o: 1}. Answer: 3/91 Part A: Four letters picked without replacement from aaezdedzegeeezz. Give prob of picking 1 e, 2 a, and 1 d. Answer: 4/455 Part A: What is prob of picking 1 i, 1 h, 1 l, and 1 b when four letters picked without replacement from {i: 1, s: 5, l: 1, h: 1, b: 7, o: 2}? Answer: 1/340 Part A: Calculate prob of picking 1 u, 1 x, and 1 e when three letters picked without replacement from {x: 3, e: 1, u: 12}. Answer: 9/140 Part A: Two letters picked without replacement from cccggcc. What is prob of picking 1 c and 1 g? Answer: 10/21 Part A: Two letters picked without replacement from ssvqbvs. Give prob of picking 2 s. Answer: 1/7 Part A: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {s: 3, u: 3, n: 3, d: 1, b: 3, t: 2}. Answer: 3/35 Part A: What is prob of picking 1 s and 1 i when two letters picked without replacement from {q: 1, i: 2, a: 6, s: 2}? Answer: 4/55 Part A: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {k: 2, q: 1}. Answer: 2/3 Part A: Four letters picked without replacement from {t: 2, u: 4}. Give prob of picking 4 u. Answer: 1/15 Part A: What is prob of picking 2 w when two letters picked without replacement from ukwuuuwuuuukkkukk? Answer: 1/136 Part A: Four letters picked without replacement from {e: 6, z: 12}. Give prob of picking 1 e and 3 z. Answer: 22/51 Part A: Three letters picked without replacement from rrrlrlrrll. Give prob of picking 1 l and 2 r. Answer: 1/2 Part A: Three letters picked without replacement from {g: 1, p: 2, e: 2, q: 5, h: 2, o: 1}. What is prob of picking 1 e, 1 p, and 1 q? Answer: 10/143 Part A: Calculate prob of picking 1 p, 1 i, and 1 q when three letters picked without replacement from ispqqzqpiizi. Answer: 6/55 Part A: Two letters picked without
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numbers: place value -------------------- Challenge: What is the ten thousands digit of 85462863? Final Answer: 6 Challenge: What is the hundreds digit of 80486? Final Answer: 4 Challenge: What is the millions digit of 16374988? Final Answer: 6 Challenge: What is the tens digit of 2537529? Final Answer: 2 Challenge: What is the tens digit of 21231519? Final Answer: 1 Challenge: What is the units digit of 809178? Final Answer: 8 Challenge: What is the hundreds digit of 78611? Final Answer: 6 Challenge: What is the hundred millions digit of 1558561659? Final Answer: 5 Challenge: What is the units digit of 868? Final Answer: 8 Challenge: What is the billions digit of 1767615707? Final Answer: 1 Challenge: What is the tens digit of 37760739? Final Answer: 3 Challenge: What is the thousands digit of 2831534710? Final Answer: 4 Challenge: What is the hundreds digit of 713? Final Answer: 7 Challenge: What is the hundred millions digit of 100873900? Final Answer: 1 Challenge: What is the millions digit of 3763179? Final Answer: 3 Challenge: What is the hundred millions digit of 101080698? Final Answer: 1 Challenge: What is the tens digit of 7564? Final Answer: 6 Challenge: What is the units digit of 75491854? Final Answer: 4 Challenge: What is the units digit of 5794724? Final Answer: 4 Challenge: What is the hundred thousands digit of 691072164? Final Answer: 0 Challenge: What is the hundred millions digit of 1780931098? Final Answer: 7 Challenge: What is the tens digit of 9712986? Final Answer: 8 Challenge: What is the ten millions digit of 74273743? Final Answer: 7 Challenge: What is the units digit of 126314? Final Answer: 4 Challenge: What is the thousands digit of 89345057? Final Answer: 5 Challenge: What is the thousands digit of 859457980? Final Answer: 7 Challenge: What is the units digit of 45531699? Final Answer: 9 Challenge: What is the thousands digit of 36348? Final Answer: 6 Challenge: What is the units digit of 1448? Final Answer: 8 Challenge: What is the hu
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numbers: div remainder ---------------------- Given: Calculate the remainder when 203 is divided by 102. Answer: 101 Given: Calculate the remainder when 229 is divided by 31. Answer: 12 Given: What is the remainder when 109 is divided by 39? Answer: 31 Given: What is the remainder when 134 is divided by 36? Answer: 26 Given: What is the remainder when 652306 is divided by 257? Answer: 40 Given: Calculate the remainder when 14318 is divided by 7159. Answer: 0 Given: Calculate the remainder when 400 is divided by 98. Answer: 8 Given: What is the remainder when 60052297 is divided by 7506534? Answer: 25 Given: Calculate the remainder when 17939 is divided by 12. Answer: 11 Given: What is the remainder when 2533 is divided by 54? Answer: 49 Given: What is the remainder when 5 is divided by 5? Answer: 0 Given: What is the remainder when 32421 is divided by 7631? Answer: 1897 Given: What is the remainder when 2360 is divided by 17? Answer: 14 Given: Calculate the remainder when 56751892 is divided by 3. Answer: 1 Given: Calculate the remainder when 3501 is divided by 439. Answer: 428 Given: Calculate the remainder when 3564 is divided by 47. Answer: 39 Given: What is the remainder when 43655 is divided by 10? Answer: 5 Given: Calculate the remainder when 9150 is divided by 208. Answer: 206 Given: What is the remainder when 20009406 is divided by 42? Answer: 18 Given: What is the remainder when 358818 is divided by 14305? Answer: 1193 Given: What is the remainder when 244315 is divided by 121628? Answer: 1059 Given: What is the remainder when 327 is divided by 104? Answer: 15 Given: What is the remainder when 46875 is divided by 83? Answer: 63 Given: What is the remainder when 961 is divided by 102? Answer: 43 Given: Calculate the remainder when 10842414 is divided by 107. Answer: 104 Given: Calculate the remainder when 151 is divided by 53. Answer: 45 Given: Calculate the remainder when 458 is divided by 53. Answer: 34 Given: Calculate the remainder when 3128 is divided b
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numbers: is prime ----------------- Query: Is 56767 a prime number? Hence: True Query: Is 2749487491 a prime number? Hence: True Query: Is 184851143 composite? Hence: False Query: Is 61601629 composite? Hence: True Query: Is 569099717 a composite number? Hence: True Query: Is 198938 prime? Hence: False Query: Is 11348279 a prime number? Hence: True Query: Is 328709267 composite? Hence: False Query: Is 20561 a composite number? Hence: True Query: Is 6408953 prime? Hence: True Query: Is 20681 composite? Hence: False Query: Is 31643039 composite? Hence: True Query: Is 18722723 a prime number? Hence: True Query: Is 275027 a composite number? Hence: False Query: Is 8648172413 composite? Hence: False Query: Is 9291883031 a composite number? Hence: True Query: Is 373682 composite? Hence: True Query: Is 66853658 prime? Hence: False Query: Is 22117 a composite number? Hence: True Query: Is 14338427 a composite number? Hence: True Query: Is 917437 composite? Hence: True Query: Is 1594117223 a prime number? Hence: True Query: Is 20370044671 prime? Hence: False Query: Is 866813 prime? Hence: False Query: Is 9767 a composite number? Hence: False Query: Is 1902539 a prime number? Hence: True Query: Is 1270353617 a prime number? Hence: False Query: Is 24132671 a prime number? Hence: True Query: Is 6407306 a prime number? Hence: False Query: Is 960886013 composite? Hence: True Query: Is 1679219 prime? Hence: False Query: Is 91232929 prime? Hence: True Query: Is 31329983 prime? Hence: True Query: Is 1006247503 composite? Hence: False Query: Is 56431 a prime number? Hence: True Query: Is 1087 prime? Hence: True Query: Is 3611 composite? Hence: True Query: Is 9565234039 prime? Hence: True Query: Is 41369 composite? Hence: True Query: Is 301339 prime? Hence: False Query: Is 49851119 composite? Hence: False Query: Is 8662411 a prime number? Hence: True Query: Is 58707469 composite? Hence: True Query: Is 4734941907 a prime number? Hence: False Query: Is 25279 prime? Hence: False Query: I
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arithmetic: nearest integer root -------------------------------- Input: What is 406271674 to the power of 1/9, to the nearest integer? Soln: 9 Input: What is 570461818 to the power of 1/3, to the nearest integer? Soln: 829 Input: What is the cube root of 2983 to the nearest integer? Soln: 14 Input: What is the sixth root of 9645 to the nearest integer? Soln: 5 Input: What is the cube root of 80485 to the nearest integer? Soln: 43 Input: What is 1578 to the power of 1/9, to the nearest integer? Soln: 2 Input: What is 34132843 to the power of 1/3, to the nearest integer? Soln: 324 Input: What is 98815455 to the power of 1/3, to the nearest integer? Soln: 462 Input: What is 343971729 to the power of 1/2, to the nearest integer? Soln: 18546 Input: What is 2617 to the power of 1/2, to the nearest integer? Soln: 51 Input: What is the ninth root of 53217 to the nearest integer? Soln: 3 Input: What is 1161789175 to the power of 1/2, to the nearest integer? Soln: 34085 Input: What is the third root of 21781303 to the nearest integer? Soln: 279 Input: What is the third root of 36251379 to the nearest integer? Soln: 331 Input: What is the ninth root of 90784982 to the nearest integer? Soln: 8 Input: What is 5443 to the power of 1/4, to the nearest integer? Soln: 9 Input: What is the square root of 1579257576 to the nearest integer? Soln: 39740 Input: What is 11012 to the power of 1/6, to the nearest integer? Soln: 5 Input: What is the sixth root of 76986 to the nearest integer? Soln: 7 Input: What is the square root of 4916774696 to the nearest integer? Soln: 70120 Input: What is the square root of 348 to the nearest integer? Soln: 19 Input: What is 126400 to the power of 1/2, to the nearest integer? Soln: 356 Input: What is the seventh root of 175445213 to the nearest integer? Soln: 15 Input: What is 1947 to the power of 1/2, to the nearest integer? Soln: 44 Input: What is the cube root of 49850 to the nearest integer? Soln: 37 Input: What is the tenth root of 2875544038 to
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numbers: gcd ------------ Part A: What is the greatest common divisor of 788 and 14510232? Final Answer: 788 Part A: What is the greatest common divisor of 308844 and 432? Final Answer: 36 Part A: Calculate the highest common factor of 663 and 2295. Final Answer: 51 Part A: What is the greatest common divisor of 149328 and 4908? Final Answer: 12 Part A: What is the greatest common factor of 732 and 52560? Final Answer: 12 Part A: Calculate the greatest common factor of 6431594 and 182. Final Answer: 26 Part A: Calculate the highest common divisor of 13290750 and 21186. Final Answer: 198 Part A: Calculate the highest common factor of 26 and 923. Final Answer: 13 Part A: Calculate the highest common divisor of 7266 and 168. Final Answer: 42 Part A: Calculate the greatest common factor of 9 and 54. Final Answer: 9 Part A: What is the highest common divisor of 54 and 412614918? Final Answer: 54 Part A: What is the greatest common factor of 191 and 21952967? Final Answer: 191 Part A: Calculate the highest common divisor of 4353302 and 2211496. Final Answer: 4646 Part A: Calculate the greatest common divisor of 88 and 5540. Final Answer: 4 Part A: Calculate the highest common factor of 826 and 3967278. Final Answer: 826 Part A: What is the highest common divisor of 304193291 and 68? Final Answer: 17 Part A: Calculate the highest common factor of 39 and 143. Final Answer: 13 Part A: What is the greatest common factor of 5 and 3025? Final Answer: 5 Part A: What is the highest common factor of 494 and 104? Final Answer: 26 Part A: What is the highest common factor of 341 and 1984? Final Answer: 31 Part A: Calculate the greatest common divisor of 8307 and 19305. Final Answer: 117 Part A: Calculate the highest common factor of 77 and 27797. Final Answer: 77 Part A: What is the greatest common factor of 5 and 55? Final Answer: 5 Part A: Calculate the greatest common divisor of 272 and 17. Final Answer: 17 Part A: Calculate the greatest common divisor of 14 and 3584. Final Answe
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numbers: is prime ----------------- Puzzle: Is 13458079 composite? Soln: False Puzzle: Is 7653731389 prime? Soln: False Puzzle: Is 16957469 composite? Soln: True Puzzle: Is 4327 prime? Soln: True Puzzle: Is 176387 a composite number? Soln: True Puzzle: Is 537497 composite? Soln: False Puzzle: Is 3739771 a prime number? Soln: False Puzzle: Is 354871 prime? Soln: False Puzzle: Is 769253231 prime? Soln: True Puzzle: Is 55883867 a composite number? Soln: True Puzzle: Is 13319 a prime number? Soln: False Puzzle: Is 66103069171 composite? Soln: False Puzzle: Is 101639495 a composite number? Soln: True Puzzle: Is 105953 a prime number? Soln: True Puzzle: Is 25638677 composite? Soln: False Puzzle: Is 249619 a prime number? Soln: False Puzzle: Is 17995243 prime? Soln: False Puzzle: Is 911063 a prime number? Soln: True Puzzle: Is 3395931403 a prime number? Soln: True Puzzle: Is 410027122 a composite number? Soln: True Puzzle: Is 98545 composite? Soln: True Puzzle: Is 81505 a composite number? Soln: True Puzzle: Is 4368373 prime? Soln: False Puzzle: Is 1177874905 a prime number? Soln: False Puzzle: Is 270259529 prime? Soln: True Puzzle: Is 12566527 prime? Soln: False Puzzle: Is 734163 a composite number? Soln: True Puzzle: Is 9125659 prime? Soln: True Puzzle: Is 320639569 prime? Soln: False Puzzle: Is 1546 prime? Soln: False Puzzle: Is 19261921 a composite number? Soln: True Puzzle: Is 1921 a prime number? Soln: False Puzzle: Is 256803 prime? Soln: False Puzzle: Is 114371 composite? Soln: False Puzzle: Is 612736211 a composite number? Soln: False Puzzle: Is 34519 composite? Soln: False Puzzle: Is 6652941583 a composite number? Soln: False Puzzle: Is 1104299857 composite? Soln: False Puzzle: Is 88112956793 a composite number? Soln: False Puzzle: Is 3523327 composite? Soln: False Puzzle: Is 14963830499 a composite number? Soln: True Puzzle: Is 41401235 a prime number? Soln: False Puzzle: Is 7483 a prime number? Soln: False Puzzle: Is 292685 prime? Soln: False Puzzle: Is 341 prim
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probability: swr p sequence --------------------------- Given: What is prob of sequence oodo when four letters picked without replacement from dxdoxxdxx? Solution: 0 Given: Three letters picked without replacement from {l: 9, g: 9}. Give prob of sequence glg. Solution: 9/68 Given: Calculate prob of sequence ggll when four letters picked without replacement from {l: 5, g: 3, w: 2, q: 5}. Solution: 1/273 Given: Calculate prob of sequence kc when two letters picked without replacement from kochl. Solution: 1/20 Given: Four letters picked without replacement from {v: 4, s: 2, i: 1, t: 3, w: 2, m: 3}. What is prob of sequence twit? Solution: 1/2730 Given: What is prob of sequence ccc when three letters picked without replacement from kkdcvlddcckdd? Solution: 1/286 Given: Four letters picked without replacement from {k: 3, o: 6, y: 1, q: 1, n: 1}. What is prob of sequence qknk? Solution: 1/1980 Given: Two letters picked without replacement from fnace. What is prob of sequence ef? Solution: 1/20 Given: Two letters picked without replacement from eeeeggegnegegenn. What is prob of sequence ng? Solution: 1/16 Given: What is prob of sequence ag when two letters picked without replacement from {c: 1, g: 4, a: 1, p: 5, w: 1, b: 1}? Solution: 1/39 Given: Four letters picked without replacement from vivvivvvivvviv. What is prob of sequence vivi? Solution: 45/1001 Given: What is prob of sequence rv when two letters picked without replacement from rrrrrrrrrrrrrrrrvr? Solution: 1/18 Given: Calculate prob of sequence ggg when three letters picked without replacement from {g: 9}. Solution: 1 Given: Calculate prob of sequence bxx when three letters picked without replacement from {k: 2, t: 1, b: 4, x: 8}. Solution: 16/195 Given: Two letters picked without replacement from {q: 1, k: 3, i: 5, y: 6, b: 2}. What is prob of sequence iy? Solution: 15/136 Given: What is prob of sequence lggl when four letters picked without replacement from {l: 7, g: 3}? Solution: 1/20 Given: What is prob of s
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measurement: time ----------------- Request: What is 599 minutes before 4:29 AM? Math A: 6:30 PM Request: How many minutes are there between 10:46 PM and 8:57 AM? Math A: 611 Request: How many minutes are there between 5:14 AM and 12:40 PM? Math A: 446 Request: How many minutes are there between 10:43 AM and 12:19 PM? Math A: 96 Request: What is 104 minutes after 5:56 AM? Math A: 7:40 AM Request: How many minutes are there between 5:15 PM and 8:21 PM? Math A: 186 Request: How many minutes are there between 11:27 PM and 6:55 AM? Math A: 448 Request: How many minutes are there between 12:55 AM and 12:57 AM? Math A: 2 Request: How many minutes are there between 3:38 AM and 4:26 AM? Math A: 48 Request: How many minutes are there between 3:21 AM and 3:32 AM? Math A: 11 Request: How many minutes are there between 8:20 PM and 2:51 AM? Math A: 391 Request: What is 202 minutes before 11:07 PM? Math A: 7:45 PM Request: How many minutes are there between 11:43 AM and 11:02 PM? Math A: 679 Request: How many minutes are there between 12:23 PM and 2:18 PM? Math A: 115 Request: How many minutes are there between 8:38 AM and 12:44 PM? Math A: 246 Request: What is 102 minutes after 6:04 AM? Math A: 7:46 AM Request: What is 40 minutes after 8:55 AM? Math A: 9:35 AM Request: What is 240 minutes before 7:46 PM? Math A: 3:46 PM Request: How many minutes are there between 5:05 AM and 2:41 PM? Math A: 576 Request: What is 243 minutes after 11:03 PM? Math A: 3:06 AM Request: What is 693 minutes before 10:27 PM? Math A: 10:54 AM Request: How many minutes are there between 8:51 AM and 12:49 PM? Math A: 238 Request: What is 376 minutes before 2:36 AM? Math A: 8:20 PM Request: How many minutes are there between 5:45 AM and 3:15 PM? Math A: 570 Request: How many minutes are there between 8:38 PM and 1:04 AM? Math A: 266 Request: What is 508 minutes before 5:41 AM? Math A: 9:13 PM Request: What is 253 minutes before 12:25 PM? Math A: 8:12 AM Request: How many minutes are there between 9:08 PM an
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measurement: time ----------------- Input: What is 211 minutes before 4:35 PM? Yields: 1:04 PM Input: What is 444 minutes before 4:52 PM? Yields: 9:28 AM Input: How many minutes are there between 4:57 AM and 5:57 AM? Yields: 60 Input: What is 76 minutes after 11:17 AM? Yields: 12:33 PM Input: What is 270 minutes after 5:36 AM? Yields: 10:06 AM Input: How many minutes are there between 2:00 PM and 12:10 AM? Yields: 610 Input: What is 703 minutes after 12:18 AM? Yields: 12:01 PM Input: What is 127 minutes before 9:44 AM? Yields: 7:37 AM Input: How many minutes are there between 3:37 PM and 12:23 AM? Yields: 526 Input: How many minutes are there between 12:26 PM and 12:37 PM? Yields: 11 Input: What is 402 minutes before 5:26 AM? Yields: 10:44 PM Input: How many minutes are there between 2:51 PM and 12:32 AM? Yields: 581 Input: What is 617 minutes after 10:18 AM? Yields: 8:35 PM Input: What is 149 minutes before 7:38 PM? Yields: 5:09 PM Input: What is 328 minutes before 6:45 PM? Yields: 1:17 PM Input: How many minutes are there between 12:27 AM and 1:23 AM? Yields: 56 Input: What is 693 minutes before 10:59 AM? Yields: 11:26 PM Input: How many minutes are there between 12:19 PM and 3:42 PM? Yields: 203 Input: How many minutes are there between 10:05 AM and 12:15 PM? Yields: 130 Input: How many minutes are there between 2:12 AM and 12:43 PM? Yields: 631 Input: How many minutes are there between 11:23 PM and 3:29 AM? Yields: 246 Input: How many minutes are there between 2:08 PM and 10:19 PM? Yields: 491 Input: How many minutes are there between 12:09 AM and 10:14 AM? Yields: 605 Input: What is 414 minutes before 12:05 PM? Yields: 5:11 AM Input: What is 373 minutes after 5:32 PM? Yields: 11:45 PM Input: How many minutes are there between 1:31 AM and 11:15 AM? Yields: 584 Input: What is 260 minutes before 6:44 AM? Yields: 2:24 AM Input: How many minutes are there between 1:54 PM and 5:11 PM? Yields: 197 Input: What is 136 minutes before 7:16 PM? Yields: 5:00 PM Input: What
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numbers: is factor ------------------ Issue: Is 57646004 a multiple of 92? Solution: True Issue: Is 67 a factor of 18827? Solution: True Issue: Is 88 a factor of 15851264? Solution: True Issue: Is 82080 a multiple of 15? Solution: True Issue: Is 8 a multiple of 4? Solution: True Issue: Is 257 a factor of 422251? Solution: True Issue: Does 9 divide 9251003? Solution: False Issue: Is 173 a multiple of 2? Solution: False Issue: Does 170 divide 80186298? Solution: False Issue: Does 5 divide 426510865? Solution: True Issue: Is 38 a factor of 171722? Solution: True Issue: Does 644 divide 4378556? Solution: True Issue: Is 517 a factor of 136971912? Solution: True Issue: Is 16 a factor of 2161? Solution: False Issue: Is 737054256 a multiple of 2623? Solution: False Issue: Is 1596 a multiple of 3? Solution: True Issue: Does 250 divide 350044583? Solution: False Issue: Is 926 a factor of 389440412? Solution: True Issue: Does 61 divide 126087? Solution: True Issue: Is 1257886 a multiple of 27? Solution: False Issue: Is 377148 a multiple of 159? Solution: True Issue: Is 2 a factor of 89? Solution: False Issue: Does 2352 divide 179493242? Solution: False Issue: Is 190376 a multiple of 120? Solution: False Issue: Is 19 a factor of 1481? Solution: False Issue: Is 7 a factor of 37281? Solution: False Issue: Is 14 a factor of 249340? Solution: True Issue: Is 15 a factor of 13905? Solution: True Issue: Is 104 a factor of 3524311? Solution: False Issue: Is 1230279 a multiple of 3? Solution: True Issue: Does 85 divide 391913180? Solution: False Issue: Does 52 divide 600728? Solution: False Issue: Does 4 divide 117372820? Solution: True Issue: Is 4 a factor of 5134617? Solution: False Issue: Is 12356132 a multiple of 23? Solution: False Issue: Does 75 divide 460275? Solution: True Issue: Is 5 a factor of 270825702? Solution: False Issue: Is 103804 a multiple of 4? Solution: True Issue: Is 202 a factor of 29694? Solution: True Issue: Is 17 a factor of 63036? Solution: True Issue: Is 222
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numbers: div remainder ---------------------- Q: Calculate the remainder when 4265680 is divided by 355471. = : 28 Q: What is the remainder when 4976 is divided by 355? = : 6 Q: What is the remainder when 44990125 is divided by 127? = : 121 Q: Calculate the remainder when 751 is divided by 244. = : 19 Q: Calculate the remainder when 1192791 is divided by 17037. = : 201 Q: What is the remainder when 209976 is divided by 6985? = : 426 Q: What is the remainder when 4643 is divided by 578? = : 19 Q: What is the remainder when 506 is divided by 102? = : 98 Q: Calculate the remainder when 1069 is divided by 16. = : 13 Q: What is the remainder when 2414 is divided by 390? = : 74 Q: Calculate the remainder when 1158 is divided by 666. = : 492 Q: Calculate the remainder when 12422 is divided by 7. = : 4 Q: Calculate the remainder when 3727324 is divided by 14908. = : 324 Q: Calculate the remainder when 1756 is divided by 568. = : 52 Q: Calculate the remainder when 3281 is divided by 3252. = : 29 Q: What is the remainder when 15978475 is divided by 1775384? = : 19 Q: What is the remainder when 783700 is divided by 8? = : 4 Q: What is the remainder when 758 is divided by 117? = : 56 Q: What is the remainder when 62 is divided by 34? = : 28 Q: What is the remainder when 143738 is divided by 71654? = : 430 Q: Calculate the remainder when 41145627 is divided by 1607. = : 1606 Q: What is the remainder when 173389 is divided by 958? = : 949 Q: What is the remainder when 9952 is divided by 1989? = : 7 Q: Calculate the remainder when 1272 is divided by 144. = : 120 Q: Calculate the remainder when 522 is divided by 25. = : 22 Q: What is the remainder when 2116 is divided by 48? = : 4 Q: What is the remainder when 255718 is divided by 666? = : 640 Q: What is the remainder when 1274 is divided by 349? = : 227 Q: Calculate the remainder when 6249 is divided by 4254. = : 1995 Q: Calculate the remainder when 2325 is divided by 129. = : 3 Q: What is the remainder when 16496146 is divided by
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probability: swr p level set ---------------------------- Task: Calculate prob of picking 2 q when two letters picked without replacement from {m: 5, q: 4, b: 3}. Output: 1/11 Task: Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {g: 2, y: 3}. Output: 3/5 Task: Two letters picked without replacement from {a: 1, g: 9, o: 1}. Give prob of picking 1 g and 1 a. Output: 9/55 Task: Calculate prob of picking 2 a and 1 o when three letters picked without replacement from {o: 9, a: 3}. Output: 27/220 Task: What is prob of picking 2 z when two letters picked without replacement from {a: 3, z: 2}? Output: 1/10 Task: Two letters picked without replacement from iqccxtzx. What is prob of picking 1 c and 1 i? Output: 1/14 Task: Two letters picked without replacement from cbbcccb. Give prob of picking 2 b. Output: 1/7 Task: What is prob of picking 3 n when three letters picked without replacement from {n: 7, y: 3}? Output: 7/24 Task: What is prob of picking 1 o and 1 s when two letters picked without replacement from yoocosfoo? Output: 5/36 Task: Three letters picked without replacement from dcddcdccdcdd. Give prob of picking 2 d and 1 c. Output: 21/44 Task: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {y: 3, n: 2, d: 4, a: 2, o: 4, q: 3}. Output: 8/153 Task: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from {i: 4, w: 1, d: 1, n: 4}. Output: 16/45 Task: What is prob of picking 1 i and 3 b when four letters picked without replacement from iebbebbiebiebieeb? Output: 1/17 Task: What is prob of picking 2 s and 1 a when three letters picked without replacement from bdobobodobbbsooados? Output: 1/969 Task: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {c: 16, l: 4}. Output: 32/95 Task: Three letters picked without replacement from {v: 2, j: 1, i: 2, c: 1, o: 1, e: 1}. Give prob of picking 2 i and 1 j. Output: 1/56 Task: Calculate
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probability: swr p level set ---------------------------- Statement: Calculate prob of picking 2 k, 1 i, and 1 c when four letters picked without replacement from oowkciohwoioook. Therefore: 2/1365 Statement: Calculate prob of picking 4 b when four letters picked without replacement from {v: 10, b: 9}. Therefore: 21/646 Statement: Two letters picked without replacement from {p: 3, i: 8, x: 2, a: 1, h: 1, d: 3}. Give prob of picking 1 h and 1 i. Therefore: 8/153 Statement: Three letters picked without replacement from adwowbb. Give prob of picking 1 a, 1 o, and 1 w. Therefore: 2/35 Statement: Two letters picked without replacement from kkkkkkk. Give prob of picking 2 k. Therefore: 1 Statement: Three letters picked without replacement from kkk. Give prob of picking 3 k. Therefore: 1 Statement: Two letters picked without replacement from {i: 10, r: 1, z: 7, v: 2}. Give prob of picking 1 i and 1 v. Therefore: 2/19 Statement: Four letters picked without replacement from {q: 3, z: 2, u: 4, t: 6, g: 3}. What is prob of picking 2 z and 2 u? Therefore: 1/510 Statement: Four letters picked without replacement from {y: 6, w: 2, g: 2, x: 1, s: 2, e: 4}. What is prob of picking 2 y, 1 x, and 1 e? Therefore: 3/119 Statement: What is prob of picking 1 f, 1 n, and 1 k when three letters picked without replacement from {k: 2, q: 1, f: 3, v: 3, n: 6}? Therefore: 36/455 Statement: What is prob of picking 3 j and 1 f when four letters picked without replacement from pfpiifppfpiifipjip? Therefore: 0 Statement: What is prob of picking 1 o and 1 s when two letters picked without replacement from ssehsssssossoso? Therefore: 2/7 Statement: What is prob of picking 1 p and 3 n when four letters picked without replacement from nnnnnnpn? Therefore: 1/2 Statement: Two letters picked without replacement from {d: 3, s: 4, e: 3, k: 1, g: 2, z: 2}. Give prob of picking 1 g and 1 e. Therefore: 2/35 Statement: Four letters picked without replacement from sjssujsjfuq. Give prob of picking 1 f, 2 u, and
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numbers: div remainder ---------------------- Inquiry: What is the remainder when 191504 is divided by 369? Response: 362 Inquiry: Calculate the remainder when 7167 is divided by 434. Response: 223 Inquiry: What is the remainder when 43357 is divided by 333? Response: 67 Inquiry: What is the remainder when 17327 is divided by 28? Response: 23 Inquiry: What is the remainder when 1632379557 is divided by 11233? Response: 11230 Inquiry: What is the remainder when 1351 is divided by 104? Response: 103 Inquiry: What is the remainder when 55328 is divided by 27652? Response: 24 Inquiry: What is the remainder when 6950 is divided by 3053? Response: 844 Inquiry: What is the remainder when 39995706 is divided by 4302? Response: 12 Inquiry: Calculate the remainder when 85 is divided by 34. Response: 17 Inquiry: Calculate the remainder when 162 is divided by 41. Response: 39 Inquiry: What is the remainder when 1575294 is divided by 35? Response: 14 Inquiry: What is the remainder when 627 is divided by 30? Response: 27 Inquiry: What is the remainder when 13901 is divided by 293? Response: 130 Inquiry: Calculate the remainder when 8941983 is divided by 185. Response: 8 Inquiry: What is the remainder when 1274415 is divided by 176? Response: 175 Inquiry: What is the remainder when 641220 is divided by 863? Response: 11 Inquiry: Calculate the remainder when 503 is divided by 36. Response: 35 Inquiry: Calculate the remainder when 30398 is divided by 6077. Response: 13 Inquiry: Calculate the remainder when 1586476 is divided by 9615. Response: 1 Inquiry: Calculate the remainder when 1280402 is divided by 640199. Response: 4 Inquiry: Calculate the remainder when 266 is divided by 127. Response: 12 Inquiry: Calculate the remainder when 76401 is divided by 371. Response: 346 Inquiry: What is the remainder when 6969095 is divided by 36? Response: 35 Inquiry: Calculate the remainder when 1306 is divided by 11. Response: 8 Inquiry: What is the remainder when 1815299 is divided by 9? Respo
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numbers: is factor ------------------ Conundrum: Is 493 a factor of 583219? Interpretation: True Conundrum: Is 1179 a factor of 946781802? Interpretation: True Conundrum: Is 4147804 a multiple of 29? Interpretation: False Conundrum: Is 58800 a multiple of 336? Interpretation: True Conundrum: Is 20120304 a multiple of 74? Interpretation: True Conundrum: Is 19 a factor of 50416810? Interpretation: False Conundrum: Is 49536 a multiple of 43? Interpretation: True Conundrum: Is 2415 a multiple of 40? Interpretation: False Conundrum: Is 271 a factor of 581232399? Interpretation: True Conundrum: Does 808 divide 1390568? Interpretation: True Conundrum: Is 1791 even? Interpretation: False Conundrum: Is 43 a factor of 25483? Interpretation: False Conundrum: Is 104130694 a multiple of 886? Interpretation: True Conundrum: Is 100178 a multiple of 167? Interpretation: False Conundrum: Is 4734067 a multiple of 13? Interpretation: True Conundrum: Does 48 divide 2311? Interpretation: False Conundrum: Does 58 divide 3776322? Interpretation: True Conundrum: Is 128166900 a multiple of 163? Interpretation: True Conundrum: Does 452 divide 202708661? Interpretation: False Conundrum: Is 8502648 a multiple of 264? Interpretation: True Conundrum: Does 23 divide 631741? Interpretation: True Conundrum: Does 119 divide 10829? Interpretation: True Conundrum: Is 78 a factor of 4277? Interpretation: False Conundrum: Is 168 a factor of 3181864? Interpretation: False Conundrum: Is 33 a factor of 2775505? Interpretation: False Conundrum: Is 196 a factor of 10052252? Interpretation: True Conundrum: Is 34 a factor of 1156? Interpretation: True Conundrum: Is 40 a factor of 1409400068? Interpretation: False Conundrum: Is 11 a factor of 175243563? Interpretation: True Conundrum: Is 321 a multiple of 114? Interpretation: False Conundrum: Is 10 a factor of 496674822? Interpretation: False Conundrum: Does 4154 divide 111798918? Interpretation: False Conundrum: Is 68724 a multiple of 3? Interpretation: True C
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probability: swr p sequence --------------------------- Problem: Three letters picked without replacement from qqjqqbjaqqqggq. What is prob of sequence gqg? A: 2/273 Problem: What is prob of sequence pn when two letters picked without replacement from gnpti? A: 1/20 Problem: Calculate prob of sequence eee when three letters picked without replacement from {e: 3, c: 7}. A: 1/120 Problem: Three letters picked without replacement from zfffmzzzzzmmzfzz. What is prob of sequence zmz? A: 9/140 Problem: Calculate prob of sequence jh when two letters picked without replacement from hchdjhhhhejhj. A: 7/52 Problem: Two letters picked without replacement from dkdakfkaafaa. Give prob of sequence da. A: 5/66 Problem: Calculate prob of sequence tqr when three letters picked without replacement from {q: 2, t: 4, r: 6, f: 1}. A: 4/143 Problem: Four letters picked without replacement from hwccchhwc. What is prob of sequence hwcc? A: 1/42 Problem: Four letters picked without replacement from eepuppeuuue. What is prob of sequence eeee? A: 1/330 Problem: What is prob of sequence va when two letters picked without replacement from {i: 2, w: 2, v: 1, g: 1, a: 1, u: 2}? A: 1/72 Problem: Two letters picked without replacement from rrmnw. What is prob of sequence rr? A: 1/10 Problem: Calculate prob of sequence uuku when four letters picked without replacement from {k: 2, u: 10}. A: 4/33 Problem: What is prob of sequence yyy when three letters picked without replacement from {y: 17, e: 1}? A: 5/6 Problem: Calculate prob of sequence wwkw when four letters picked without replacement from wwwkbwwbkwkk. A: 4/99 Problem: Calculate prob of sequence mk when two letters picked without replacement from ssksmmkmmm. A: 1/9 Problem: What is prob of sequence qrqd when four letters picked without replacement from {q: 4, r: 2, d: 2}? A: 1/35 Problem: Two letters picked without replacement from {k: 3, u: 3, w: 6, q: 3}. What is prob of sequence wu? A: 3/35 Problem: Two letters picked without replacement fro
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numbers: place value -------------------- Exercise: What is the thousands digit of 2842? Response: 2 Exercise: What is the millions digit of 2631484? Response: 2 Exercise: What is the ten thousands digit of 32367? Response: 3 Exercise: What is the ten thousands digit of 922328? Response: 2 Exercise: What is the millions digit of 2339841? Response: 2 Exercise: What is the thousands digit of 22285? Response: 2 Exercise: What is the units digit of 27953? Response: 3 Exercise: What is the hundred thousands digit of 54076770? Response: 0 Exercise: What is the hundreds digit of 192? Response: 1 Exercise: What is the hundreds digit of 1254? Response: 2 Exercise: What is the thousands digit of 4061? Response: 4 Exercise: What is the hundreds digit of 336? Response: 3 Exercise: What is the units digit of 736387? Response: 7 Exercise: What is the millions digit of 7562484? Response: 7 Exercise: What is the thousands digit of 21736523? Response: 6 Exercise: What is the thousands digit of 130576? Response: 0 Exercise: What is the hundreds digit of 537032436? Response: 4 Exercise: What is the hundreds digit of 12446? Response: 4 Exercise: What is the units digit of 6983? Response: 3 Exercise: What is the hundreds digit of 12898764? Response: 7 Exercise: What is the ten thousands digit of 26087538? Response: 8 Exercise: What is the ten thousands digit of 297924176? Response: 2 Exercise: What is the tens digit of 17889? Response: 8 Exercise: What is the tens digit of 8808? Response: 0 Exercise: What is the hundred thousands digit of 1350333? Response: 3 Exercise: What is the tens digit of 661544? Response: 4 Exercise: What is the units digit of 83781? Response: 1 Exercise: What is the hundreds digit of 83863? Response: 8 Exercise: What is the ten thousands digit of 274186771? Response: 8 Exercise: What is the ten thousands digit of 22983? Response: 2 Exercise: What is the hundreds digit of 167647? Response: 6 Exercise: What is the millions digit of 544384107? Response: 4 Exercise:
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numbers: gcd ------------ Input: What is the highest common factor of 32912 and 33209? Workthrough: 11 Input: What is the highest common divisor of 424 and 6871132? Workthrough: 212 Input: What is the highest common factor of 120600 and 329850? Workthrough: 450 Input: What is the greatest common factor of 350 and 368270? Workthrough: 70 Input: What is the highest common factor of 404 and 10807? Workthrough: 101 Input: Calculate the highest common factor of 119 and 63. Workthrough: 7 Input: What is the highest common factor of 2779 and 7? Workthrough: 7 Input: What is the highest common factor of 11772 and 8030466? Workthrough: 1962 Input: What is the greatest common factor of 10404 and 52309? Workthrough: 289 Input: Calculate the greatest common divisor of 86022 and 36198. Workthrough: 18 Input: What is the greatest common divisor of 1054 and 122791? Workthrough: 527 Input: Calculate the greatest common factor of 2 and 276418. Workthrough: 2 Input: Calculate the greatest common divisor of 6401878 and 28. Workthrough: 14 Input: Calculate the greatest common divisor of 74 and 1332. Workthrough: 74 Input: Calculate the highest common factor of 117 and 2059875. Workthrough: 9 Input: Calculate the highest common factor of 1298 and 506. Workthrough: 22 Input: Calculate the greatest common factor of 63 and 2583. Workthrough: 63 Input: What is the highest common factor of 465 and 270? Workthrough: 15 Input: Calculate the greatest common divisor of 55268 and 10483396. Workthrough: 1348 Input: Calculate the highest common divisor of 7125 and 448607575. Workthrough: 475 Input: What is the greatest common factor of 10117 and 66289? Workthrough: 151 Input: What is the greatest common divisor of 2 and 1635514? Workthrough: 2 Input: Calculate the highest common factor of 99 and 396. Workthrough: 99 Input: What is the highest common divisor of 724880 and 375600? Workthrough: 80 Input: Calculate the highest common factor of 321773 and 233. Workthrough: 233 Input: What is the greates
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numbers: is prime ----------------- Query: Is 20836071433 prime? Sol: True Query: Is 20949601 prime? Sol: True Query: Is 19277 a prime number? Sol: False Query: Is 1849914289 a composite number? Sol: False Query: Is 600053 prime? Sol: True Query: Is 20509387 composite? Sol: True Query: Is 261581767 a composite number? Sol: False Query: Is 30251073869 a composite number? Sol: True Query: Is 7193 a composite number? Sol: False Query: Is 41563489 a prime number? Sol: False Query: Is 381604409 a prime number? Sol: True Query: Is 3899 a composite number? Sol: True Query: Is 47684887631 prime? Sol: True Query: Is 1909 a composite number? Sol: True Query: Is 4267 a prime number? Sol: False Query: Is 1970894 composite? Sol: True Query: Is 113311 a composite number? Sol: True Query: Is 21675323 a composite number? Sol: True Query: Is 130627 a composite number? Sol: True Query: Is 3629312413 a prime number? Sol: True Query: Is 179446573 composite? Sol: True Query: Is 9300088271 a prime number? Sol: False Query: Is 1909448179 a prime number? Sol: False Query: Is 229947 composite? Sol: True Query: Is 30035 a prime number? Sol: False Query: Is 21610321 composite? Sol: True Query: Is 56531149 a composite number? Sol: False Query: Is 13636012469 prime? Sol: True Query: Is 81001 composite? Sol: False Query: Is 6067602911 composite? Sol: False Query: Is 48857 a prime number? Sol: True Query: Is 9689 composite? Sol: False Query: Is 17424145 composite? Sol: True Query: Is 187981 composite? Sol: True Query: Is 76357 prime? Sol: False Query: Is 74573969 composite? Sol: True Query: Is 2119313 prime? Sol: False Query: Is 31891313 prime? Sol: True Query: Is 1918199 composite? Sol: True Query: Is 2409311263 a prime number? Sol: True Query: Is 386207986 a composite number? Sol: True Query: Is 201881 composite? Sol: False Query: Is 19649127011 a composite number? Sol: False Query: Is 137867 a prime number? Sol: True Query: Is 2302 prime? Sol: False Query: Is 14827 a prime number? Sol: True Qu
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numbers: is prime ----------------- Input: Is 15201833 a prime number? Conclusion: False Input: Is 1709989 a composite number? Conclusion: False Input: Is 56054561 a prime number? Conclusion: True Input: Is 3125417 a prime number? Conclusion: False Input: Is 3817799 composite? Conclusion: True Input: Is 8548826999 a prime number? Conclusion: True Input: Is 1973 a composite number? Conclusion: False Input: Is 84571034243 a composite number? Conclusion: False Input: Is 127471 a composite number? Conclusion: True Input: Is 7130087 a composite number? Conclusion: True Input: Is 25042919 a composite number? Conclusion: True Input: Is 13975945 a composite number? Conclusion: True Input: Is 38769192377 composite? Conclusion: False Input: Is 5966252057 prime? Conclusion: True Input: Is 7921126519 composite? Conclusion: False Input: Is 105419513 a prime number? Conclusion: True Input: Is 4409747 prime? Conclusion: True Input: Is 83557 composite? Conclusion: False Input: Is 8063 a prime number? Conclusion: False Input: Is 1956351337 composite? Conclusion: True Input: Is 1837529 composite? Conclusion: False Input: Is 3663237739 prime? Conclusion: False Input: Is 69553 prime? Conclusion: False Input: Is 3661811 a composite number? Conclusion: True Input: Is 193853743 a prime number? Conclusion: True Input: Is 13443014059 prime? Conclusion: True Input: Is 13960759151 composite? Conclusion: False Input: Is 10085166629 a prime number? Conclusion: True Input: Is 4150469 composite? Conclusion: True Input: Is 17726631911 a prime number? Conclusion: True Input: Is 1357 composite? Conclusion: True Input: Is 3979 composite? Conclusion: True Input: Is 882571 composite? Conclusion: False Input: Is 7456017 composite? Conclusion: True Input: Is 9410393171 a prime number? Conclusion: True Input: Is 238611 a prime number? Conclusion: False Input: Is 52757 prime? Conclusion: True Input: Is 7453 composite? Conclusion: True Input: Is 14687423393 a composite number? Conclusion: True Input: Is 341
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arithmetic: nearest integer root -------------------------------- Given: What is 752585988 to the power of 1/3, to the nearest integer? Fix: 910 Given: What is 14059982 to the power of 1/2, to the nearest integer? Fix: 3750 Given: What is 32859 to the power of 1/8, to the nearest integer? Fix: 4 Given: What is the square root of 3870253023 to the nearest integer? Fix: 62211 Given: What is 2591093 to the power of 1/4, to the nearest integer? Fix: 40 Given: What is the cube root of 3448860 to the nearest integer? Fix: 151 Given: What is the square root of 223177860 to the nearest integer? Fix: 14939 Given: What is the square root of 33046 to the nearest integer? Fix: 182 Given: What is the square root of 24136 to the nearest integer? Fix: 155 Given: What is 239350 to the power of 1/9, to the nearest integer? Fix: 4 Given: What is 2095391 to the power of 1/8, to the nearest integer? Fix: 6 Given: What is the cube root of 384998011 to the nearest integer? Fix: 727 Given: What is the third root of 1187377 to the nearest integer? Fix: 106 Given: What is the third root of 38993 to the nearest integer? Fix: 34 Given: What is 55253 to the power of 1/3, to the nearest integer? Fix: 38 Given: What is 103 to the power of 1/2, to the nearest integer? Fix: 10 Given: What is 4805 to the power of 1/10, to the nearest integer? Fix: 2 Given: What is the cube root of 109898394 to the nearest integer? Fix: 479 Given: What is the seventh root of 358968 to the nearest integer? Fix: 6 Given: What is 98521527 to the power of 1/2, to the nearest integer? Fix: 9926 Given: What is 188 to the power of 1/6, to the nearest integer? Fix: 2 Given: What is 6034925397 to the power of 1/2, to the nearest integer? Fix: 77685 Given: What is the cube root of 237030230 to the nearest integer? Fix: 619 Given: What is 35274100 to the power of 1/3, to the nearest integer? Fix: 328 Given: What is 49206729 to the power of 1/2, to the nearest integer? Fix: 7015 Given: What is 464742 to the power of 1/2, to the
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arithmetic: nearest integer root -------------------------------- What if: What is 1288165714 to the power of 1/5, to the nearest integer? Response: 66 What if: What is the third root of 72453 to the nearest integer? Response: 42 What if: What is 1032381231 to the power of 1/2, to the nearest integer? Response: 32131 What if: What is the third root of 6681 to the nearest integer? Response: 19 What if: What is 67060 to the power of 1/8, to the nearest integer? Response: 4 What if: What is the third root of 1647534 to the nearest integer? Response: 118 What if: What is 90891 to the power of 1/2, to the nearest integer? Response: 301 What if: What is 617641883 to the power of 1/9, to the nearest integer? Response: 9 What if: What is 1203017 to the power of 1/4, to the nearest integer? Response: 33 What if: What is the cube root of 786 to the nearest integer? Response: 9 What if: What is 2947246 to the power of 1/2, to the nearest integer? Response: 1717 What if: What is 41401657 to the power of 1/3, to the nearest integer? Response: 346 What if: What is the fifth root of 405518920 to the nearest integer? Response: 53 What if: What is the fourth root of 10819549 to the nearest integer? Response: 57 What if: What is 345 to the power of 1/3, to the nearest integer? Response: 7 What if: What is 1344704589 to the power of 1/2, to the nearest integer? Response: 36670 What if: What is the square root of 240441096 to the nearest integer? Response: 15506 What if: What is 35164 to the power of 1/2, to the nearest integer? Response: 188 What if: What is 2092717 to the power of 1/2, to the nearest integer? Response: 1447 What if: What is 837 to the power of 1/3, to the nearest integer? Response: 9 What if: What is 42192 to the power of 1/2, to the nearest integer? Response: 205 What if: What is the tenth root of 803148737 to the nearest integer? Response: 8 What if: What is the fifth root of 403824 to the nearest integer? Response: 13 What if: What is 1170120 to the power of 1/2,
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numbers: gcd ------------ Part A: Calculate the highest common factor of 70 and 315. Compute: 35 Part A: What is the greatest common divisor of 5974 and 116? Compute: 58 Part A: Calculate the highest common divisor of 4313 and 89. Compute: 1 Part A: What is the highest common divisor of 234424 and 256? Compute: 8 Part A: Calculate the greatest common divisor of 1924 and 91. Compute: 13 Part A: What is the highest common factor of 15 and 132314385? Compute: 15 Part A: What is the highest common divisor of 1513 and 6446893? Compute: 1513 Part A: What is the greatest common divisor of 113407971 and 3009? Compute: 177 Part A: What is the greatest common factor of 15174 and 1134? Compute: 54 Part A: What is the greatest common factor of 6789 and 5595450? Compute: 219 Part A: What is the greatest common divisor of 14 and 14? Compute: 14 Part A: What is the greatest common factor of 26 and 247? Compute: 13 Part A: Calculate the greatest common divisor of 2 and 112. Compute: 2 Part A: Calculate the highest common divisor of 88 and 136. Compute: 8 Part A: What is the highest common divisor of 23 and 299? Compute: 23 Part A: Calculate the greatest common factor of 1602 and 90. Compute: 18 Part A: Calculate the greatest common factor of 76 and 209. Compute: 19 Part A: What is the greatest common factor of 11 and 4279? Compute: 11 Part A: Calculate the greatest common divisor of 18 and 342. Compute: 18 Part A: What is the greatest common divisor of 380862 and 12? Compute: 6 Part A: Calculate the greatest common factor of 93 and 3472. Compute: 31 Part A: Calculate the greatest common divisor of 1235 and 95. Compute: 95 Part A: What is the highest common factor of 392 and 26313? Compute: 49 Part A: What is the greatest common factor of 435280647 and 411? Compute: 411 Part A: What is the highest common divisor of 205 and 45? Compute: 5 Part A: What is the greatest common factor of 1203606 and 1674? Compute: 1674 Part A: Calculate the highest common factor of 108 and 24. Compute: 1
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probability: swr p level set ---------------------------- Qn: Two letters picked without replacement from {h: 5, k: 2, x: 6}. Give prob of picking 2 h. Response: 5/39 Qn: Three letters picked without replacement from jiijjjh. Give prob of picking 3 j. Response: 4/35 Qn: What is prob of picking 1 e and 1 w when two letters picked without replacement from wiwie? Response: 1/5 Qn: Two letters picked without replacement from {m: 2, q: 3}. Give prob of picking 2 m. Response: 1/10 Qn: Calculate prob of picking 1 o, 1 i, and 1 w when three letters picked without replacement from iwio. Response: 1/2 Qn: Calculate prob of picking 3 i when three letters picked without replacement from iggigibiiigigigbii. Response: 5/34 Qn: Two letters picked without replacement from {t: 2, e: 1, x: 6, g: 2}. Give prob of picking 1 e and 1 g. Response: 2/55 Qn: Calculate prob of picking 3 g when three letters picked without replacement from {g: 5, d: 5}. Response: 1/12 Qn: Four letters picked without replacement from {f: 1, g: 1, u: 1, d: 1, y: 1}. What is prob of picking 2 y, 1 g, and 1 u? Response: 0 Qn: Three letters picked without replacement from {r: 4, f: 2, l: 3, u: 2}. What is prob of picking 2 r and 1 u? Response: 4/55 Qn: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from iuusjuuuiusu. Response: 7/66 Qn: What is prob of picking 4 e when four letters picked without replacement from eeeeeee? Response: 1 Qn: What is prob of picking 2 w when two letters picked without replacement from zzwwdwzzzwz? Response: 6/55 Qn: Calculate prob of picking 3 v and 1 j when four letters picked without replacement from jjvjjjjvjjvjvj. Response: 40/1001 Qn: Three letters picked without replacement from ccccofcfcc. What is prob of picking 3 c? Response: 7/24 Qn: Calculate prob of picking 3 h and 1 i when four letters picked without replacement from ellidilddidhhihl. Response: 1/455 Qn: Two letters picked without replacement from {h: 3, j: 6, v: 2, l: 4, s: 1}. Give prob
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numbers: place value -------------------- Query: What is the hundreds digit of 9236813? Solution: 8 Query: What is the units digit of 28101901? Solution: 1 Query: What is the thousands digit of 5221? Solution: 5 Query: What is the millions digit of 29814249? Solution: 9 Query: What is the ten thousands digit of 5316968488? Solution: 6 Query: What is the tens digit of 339808? Solution: 0 Query: What is the thousands digit of 350973? Solution: 0 Query: What is the millions digit of 1906352? Solution: 1 Query: What is the ten thousands digit of 44587? Solution: 4 Query: What is the ten thousands digit of 1310499? Solution: 1 Query: What is the units digit of 1363? Solution: 3 Query: What is the hundred thousands digit of 122651002? Solution: 6 Query: What is the tens digit of 28771? Solution: 7 Query: What is the thousands digit of 82009? Solution: 2 Query: What is the hundreds digit of 14336? Solution: 3 Query: What is the hundred thousands digit of 2807210? Solution: 8 Query: What is the hundreds digit of 329449275? Solution: 2 Query: What is the tens digit of 99604? Solution: 0 Query: What is the units digit of 560847? Solution: 7 Query: What is the tens digit of 203570140? Solution: 4 Query: What is the hundreds digit of 460? Solution: 4 Query: What is the millions digit of 10249031? Solution: 0 Query: What is the thousands digit of 32528? Solution: 2 Query: What is the ten thousands digit of 13404456? Solution: 0 Query: What is the units digit of 1992? Solution: 2 Query: What is the thousands digit of 38384104? Solution: 4 Query: What is the units digit of 11358054? Solution: 4 Query: What is the hundreds digit of 7726123? Solution: 1 Query: What is the tens digit of 10756256? Solution: 5 Query: What is the units digit of 2412? Solution: 2 Query: What is the units digit of 7068403? Solution: 3 Query: What is the tens digit of 28698? Solution: 9 Query: What is the tens digit of 11564? Solution: 6 Query: What is the thousands digit of 8676228? Solution: 6 Query: Wha
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numbers: place value -------------------- What if: What is the ten thousands digit of 15359? A: 1 What if: What is the tens digit of 1570? A: 7 What if: What is the thousands digit of 1881? A: 1 What if: What is the ten thousands digit of 56317? A: 5 What if: What is the hundred thousands digit of 274150909? A: 1 What if: What is the units digit of 10619369? A: 9 What if: What is the tens digit of 1452178? A: 7 What if: What is the millions digit of 251983504? A: 1 What if: What is the ten millions digit of 118555390? A: 1 What if: What is the units digit of 23777370? A: 0 What if: What is the hundreds digit of 3703097? A: 0 What if: What is the hundred thousands digit of 77773526? A: 7 What if: What is the units digit of 978134? A: 4 What if: What is the hundred millions digit of 169260235? A: 1 What if: What is the hundred thousands digit of 766594? A: 7 What if: What is the tens digit of 4180? A: 8 What if: What is the ten millions digit of 284056903? A: 8 What if: What is the ten thousands digit of 345444786? A: 4 What if: What is the ten millions digit of 11860067? A: 1 What if: What is the units digit of 135728897? A: 7 What if: What is the tens digit of 12677? A: 7 What if: What is the ten thousands digit of 855317491? A: 1 What if: What is the millions digit of 1453591557? A: 3 What if: What is the units digit of 2507? A: 7 What if: What is the ten thousands digit of 857501918? A: 0 What if: What is the hundreds digit of 21575? A: 5 What if: What is the millions digit of 72131004? A: 2 What if: What is the units digit of 11800190? A: 0 What if: What is the thousands digit of 180376? A: 0 What if: What is the tens digit of 88090? A: 9 What if: What is the hundreds digit of 926? A: 9 What if: What is the millions digit of 4061713? A: 4 What if: What is the thousands digit of 387944? A: 7 What if: What is the thousands digit of 57106? A: 7 What if: What is the thousands digit of 1534? A: 1 What if: What is the thousands digit of 157747? A: 7 What if: What is th
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numbers: is prime ----------------- What if: Is 373990999 a composite number? Compute: True What if: Is 1255504813 a composite number? Compute: False What if: Is 211681 composite? Compute: False What if: Is 196097 prime? Compute: False What if: Is 4704641 prime? Compute: False What if: Is 491255 a composite number? Compute: True What if: Is 6803 composite? Compute: False What if: Is 158500409 a composite number? Compute: False What if: Is 3206189 prime? Compute: False What if: Is 19151311 a composite number? Compute: True What if: Is 2460030317 a composite number? Compute: False What if: Is 899051 composite? Compute: False What if: Is 3313 a composite number? Compute: False What if: Is 960707 a prime number? Compute: False What if: Is 2150178901 composite? Compute: True What if: Is 360376651 a prime number? Compute: True What if: Is 3854545 prime? Compute: False What if: Is 28315633 a prime number? Compute: False What if: Is 1764209099 a composite number? Compute: True What if: Is 14894504285 composite? Compute: True What if: Is 4224131 a composite number? Compute: False What if: Is 130577 a composite number? Compute: True What if: Is 19324421 a prime number? Compute: True What if: Is 3974999 a composite number? Compute: True What if: Is 476867 composite? Compute: True What if: Is 1196772673 composite? Compute: False What if: Is 472487065 a prime number? Compute: False What if: Is 531029 a composite number? Compute: True What if: Is 3000079 a prime number? Compute: False What if: Is 26161676285 composite? Compute: True What if: Is 7815813359 a prime number? Compute: False What if: Is 1520271521 a prime number? Compute: True What if: Is 2663933 a composite number? Compute: True What if: Is 342187 a composite number? Compute: False What if: Is 217328363 a prime number? Compute: False What if: Is 425615639 a composite number? Compute: True What if: Is 62262881 a composite number? Compute: False What if: Is 4002671 prime? Compute: True What if: Is 41579 a prime number?
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probability: swr p level set ---------------------------- Problem: Four letters picked without replacement from bbaaabaaabaab. Give prob of picking 4 b. Key: 1/143 Problem: What is prob of picking 2 l when two letters picked without replacement from kkkkllkl? Key: 3/28 Problem: Two letters picked without replacement from {w: 3, i: 12, t: 1}. Give prob of picking 1 i and 1 w. Key: 3/10 Problem: Three letters picked without replacement from jiihhhhjvgjih. Give prob of picking 1 g and 2 j. Key: 3/286 Problem: Calculate prob of picking 2 i and 1 r when three letters picked without replacement from iirrii. Key: 3/5 Problem: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from {f: 1, l: 6, z: 3, n: 1, y: 4, s: 3}. Key: 5/272 Problem: What is prob of picking 3 d when three letters picked without replacement from {v: 3, r: 3, q: 6, d: 5, y: 1}? Key: 5/408 Problem: Three letters picked without replacement from ydydgyygyygdy. Give prob of picking 2 y and 1 g. Key: 63/286 Problem: Three letters picked without replacement from {t: 3, d: 6, w: 3, i: 2, l: 1, k: 4}. What is prob of picking 1 d, 1 w, and 1 i? Key: 12/323 Problem: What is prob of picking 1 q and 2 l when three letters picked without replacement from xblqlqll? Key: 3/14 Problem: Four letters picked without replacement from {z: 4, o: 3, r: 2}. Give prob of picking 1 r and 3 o. Key: 1/63 Problem: Three letters picked without replacement from uaqkpdu. Give prob of picking 1 a, 1 k, and 1 q. Key: 1/35 Problem: What is prob of picking 1 h and 1 w when two letters picked without replacement from dddhhdhhddhdhhwddddw? Key: 7/95 Problem: What is prob of picking 1 n and 3 g when four letters picked without replacement from jyynjgyggjyyyy? Key: 1/1001 Problem: Calculate prob of picking 2 g when two letters picked without replacement from {z: 1, j: 1, g: 9}. Key: 36/55 Problem: What is prob of picking 1 s and 1 r when two letters picked without replacement from sssrssss? Key: 1/4 Problem: Tw
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numbers: place value -------------------- Exercise: What is the hundreds digit of 62881811? Answer: 8 Exercise: What is the thousands digit of 548193? Answer: 8 Exercise: What is the thousands digit of 18232409? Answer: 2 Exercise: What is the units digit of 1333210? Answer: 0 Exercise: What is the ten thousands digit of 447735? Answer: 4 Exercise: What is the hundreds digit of 1994756? Answer: 7 Exercise: What is the ten thousands digit of 10667? Answer: 1 Exercise: What is the units digit of 338342? Answer: 2 Exercise: What is the hundreds digit of 136? Answer: 1 Exercise: What is the hundreds digit of 2692217? Answer: 2 Exercise: What is the tens digit of 2510141001? Answer: 0 Exercise: What is the hundred thousands digit of 428539893? Answer: 5 Exercise: What is the units digit of 6540? Answer: 0 Exercise: What is the hundreds digit of 187? Answer: 1 Exercise: What is the hundreds digit of 265? Answer: 2 Exercise: What is the tens digit of 54228830? Answer: 3 Exercise: What is the ten thousands digit of 140495? Answer: 4 Exercise: What is the thousands digit of 21942? Answer: 1 Exercise: What is the hundreds digit of 70658880? Answer: 8 Exercise: What is the units digit of 1572? Answer: 2 Exercise: What is the hundred thousands digit of 183987? Answer: 1 Exercise: What is the tens digit of 11317? Answer: 1 Exercise: What is the tens digit of 5860633067? Answer: 6 Exercise: What is the units digit of 64572456? Answer: 6 Exercise: What is the thousands digit of 1196? Answer: 1 Exercise: What is the hundreds digit of 386025? Answer: 0 Exercise: What is the billions digit of 4000896647? Answer: 4 Exercise: What is the units digit of 407284? Answer: 4 Exercise: What is the hundred thousands digit of 508493129? Answer: 4 Exercise: What is the tens digit of 330? Answer: 3 Exercise: What is the hundreds digit of 55987? Answer: 9 Exercise: What is the tens digit of 875650? Answer: 5 Exercise: What is the millions digit of 3727181794? Answer: 7 Exercise: What is the ten m
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arithmetic: nearest integer root -------------------------------- Topic: What is the seventh root of 3162928 to the nearest integer? Result: 8 Topic: What is the third root of 955726 to the nearest integer? Result: 99 Topic: What is 4157682789 to the power of 1/2, to the nearest integer? Result: 64480 Topic: What is 1903 to the power of 1/3, to the nearest integer? Result: 12 Topic: What is 344522818 to the power of 1/3, to the nearest integer? Result: 701 Topic: What is 2926916 to the power of 1/6, to the nearest integer? Result: 12 Topic: What is 191109375 to the power of 1/2, to the nearest integer? Result: 13824 Topic: What is the square root of 23825245 to the nearest integer? Result: 4881 Topic: What is 1672961 to the power of 1/2, to the nearest integer? Result: 1293 Topic: What is 36947 to the power of 1/4, to the nearest integer? Result: 14 Topic: What is 233121297 to the power of 1/2, to the nearest integer? Result: 15268 Topic: What is the fifth root of 122040 to the nearest integer? Result: 10 Topic: What is 4186 to the power of 1/9, to the nearest integer? Result: 3 Topic: What is the cube root of 3653648 to the nearest integer? Result: 154 Topic: What is 4735605 to the power of 1/8, to the nearest integer? Result: 7 Topic: What is 62297 to the power of 1/2, to the nearest integer? Result: 250 Topic: What is the ninth root of 2260 to the nearest integer? Result: 2 Topic: What is the square root of 3292 to the nearest integer? Result: 57 Topic: What is the third root of 95389256 to the nearest integer? Result: 457 Topic: What is the square root of 76006 to the nearest integer? Result: 276 Topic: What is 171003963 to the power of 1/10, to the nearest integer? Result: 7 Topic: What is the third root of 1648118827 to the nearest integer? Result: 1181 Topic: What is 403987693 to the power of 1/3, to the nearest integer? Result: 739 Topic: What is the cube root of 1304265704 to the nearest integer? Result: 1093 Topic: What is the eighth root of 2084 to the ne
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measurement: conversion ----------------------- Case: Convert 0.346942 centuries to years. Clarification: 34.6942 Case: How many seconds are there in 2/27 of a day? Clarification: 6400 Case: What is 7/8 of a meter in millimeters? Clarification: 875 Case: What is 80.20093 grams in tonnes? Clarification: 0.00008020093 Case: How many minutes are there in 3/16 of a day? Clarification: 270 Case: What is 51.3191 litres in millilitres? Clarification: 51319.1 Case: Convert 98008.14ml to litres. Clarification: 98.00814 Case: How many millennia are there in 74301.43 centuries? Clarification: 7430.143 Case: How many meters are there in eleven quarters of a kilometer? Clarification: 2750 Case: What is 8.104 kilometers in meters? Clarification: 8104 Case: What is 0.2909075ng in grams? Clarification: 0.0000000002909075 Case: How many millilitres are there in 21/8 of a litre? Clarification: 2625 Case: Convert 589014.5 days to minutes. Clarification: 848180880 Case: How many hours are there in 7/4 of a week? Clarification: 294 Case: How many millimeters are there in 29/5 of a meter? Clarification: 5800 Case: What is one tenth of a week in minutes? Clarification: 1008 Case: How many centimeters are there in 0.0312696mm? Clarification: 0.00312696 Case: What is 681636.1 micrograms in kilograms? Clarification: 0.0006816361 Case: Convert 3.685802ml to litres. Clarification: 0.003685802 Case: Convert 25793.4 grams to micrograms. Clarification: 25793400000 Case: How many centimeters are there in 6/25 of a kilometer? Clarification: 24000 Case: Convert 0.32163 decades to years. Clarification: 3.2163 Case: What is fifteen quarters of a meter in centimeters? Clarification: 375 Case: Convert 0.41092 centuries to months. Clarification: 493.104 Case: Convert 6412635.81us to weeks. Clarification: 0.000010602903125 Case: Convert 863717.9 micrometers to kilometers. Clarification: 0.0008637179 Case: What is 13/4 of a litre in millilitres? Clarification: 3250 Case: What is 13/5 of a millennium in yea
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numbers: is factor ------------------ Let us solve: Is 579 a multiple of 64? Reply: False Let us solve: Does 103 divide 9785? Reply: True Let us solve: Is 1703 a factor of 15200978? Reply: True Let us solve: Does 27 divide 9711? Reply: False Let us solve: Does 9 divide 11936465? Reply: False Let us solve: Is 4884 a multiple of 12? Reply: True Let us solve: Is 13 a factor of 95? Reply: False Let us solve: Is 1215581 a multiple of 3? Reply: False Let us solve: Is 169 a multiple of 23? Reply: False Let us solve: Is 3617 a factor of 1314120669? Reply: False Let us solve: Is 2916 a multiple of 3? Reply: True Let us solve: Does 75 divide 13125? Reply: True Let us solve: Is 916 a multiple of 10? Reply: False Let us solve: Is 32 a factor of 384? Reply: True Let us solve: Does 73 divide 994479? Reply: True Let us solve: Is 10 a factor of 2530? Reply: True Let us solve: Is 41 a factor of 68185? Reply: False Let us solve: Does 31 divide 6435598? Reply: False Let us solve: Is 17 a factor of 1142706? Reply: True Let us solve: Is 16 a factor of 5450030? Reply: False Let us solve: Is 290740 a multiple of 68? Reply: False Let us solve: Is 21805 a multiple of 133? Reply: False Let us solve: Is 35586 a multiple of 161? Reply: False Let us solve: Does 1301 divide 1096393535? Reply: False Let us solve: Does 259 divide 2216904560? Reply: False Let us solve: Does 59 divide 2950? Reply: True Let us solve: Is 233886645 a multiple of 25? Reply: False Let us solve: Is 131037 a multiple of 84? Reply: False Let us solve: Is 8085 a multiple of 55? Reply: True Let us solve: Does 63 divide 25117? Reply: False Let us solve: Is 578569728 a multiple of 768? Reply: True Let us solve: Does 17 divide 78853? Reply: False Let us solve: Does 133 divide 448840? Reply: False Let us solve: Is 373 a factor of 40793115? Reply: False Let us solve: Does 46 divide 552? Reply: True Let us solve: Is 92514547 a multiple of 127? Reply: True Let us solve: Is 21 a factor of 1382640? Reply: True Let us solve: Does 51 di
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probability: swr p level set ---------------------------- Q.: What is prob of picking 1 k and 1 d when two letters picked without replacement from {o: 3, r: 4, k: 1, j: 1, d: 2}? Yields: 2/55 Q.: Two letters picked without replacement from {l: 1, r: 3, s: 1, e: 1, j: 1}. What is prob of picking 1 s and 1 j? Yields: 1/21 Q.: What is prob of picking 1 a and 1 m when two letters picked without replacement from mmaaaau? Yields: 8/21 Q.: Three letters picked without replacement from aaoaoaaooaoaoaaaaoa. Give prob of picking 2 o and 1 a. Yields: 84/323 Q.: Calculate prob of picking 2 h and 1 l when three letters picked without replacement from {h: 3, k: 3, l: 2}. Yields: 3/28 Q.: Four letters picked without replacement from {d: 4, l: 15}. What is prob of picking 3 d and 1 l? Yields: 5/323 Q.: Four letters picked without replacement from {k: 1, w: 5, z: 2, n: 1, u: 1}. What is prob of picking 1 n, 1 u, 1 w, and 1 z? Yields: 1/21 Q.: Four letters picked without replacement from {u: 2, t: 1, k: 2}. What is prob of picking 1 u, 1 k, and 2 t? Yields: 0 Q.: Calculate prob of picking 1 e and 2 i when three letters picked without replacement from oeiodeoooiio. Yields: 3/110 Q.: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from {y: 1, q: 2}. Yields: 2/3 Q.: What is prob of picking 1 n and 1 s when two letters picked without replacement from {s: 1, n: 2}? Yields: 2/3 Q.: Three letters picked without replacement from jvjjjjjmjjjmjjvjjjjm. What is prob of picking 1 v and 2 j? Yields: 7/38 Q.: What is prob of picking 2 r when two letters picked without replacement from rrttrtr? Yields: 2/7 Q.: What is prob of picking 1 t and 2 e when three letters picked without replacement from ccetcctcceec? Yields: 3/110 Q.: Four letters picked without replacement from {n: 3, y: 3, a: 5, e: 3, h: 1}. What is prob of picking 2 y, 1 e, and 1 a? Yields: 3/91 Q.: What is prob of picking 1 j, 2 g, and 1 y when four letters picked without replacement from {y: 2, g: 5,
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numbers: place value -------------------- Q-: What is the hundreds digit of 2823? Math A: 8 Q-: What is the hundreds digit of 737168? Math A: 1 Q-: What is the units digit of 583126? Math A: 6 Q-: What is the units digit of 473427? Math A: 7 Q-: What is the hundred millions digit of 171715632? Math A: 1 Q-: What is the ten millions digit of 15135735? Math A: 1 Q-: What is the units digit of 5054? Math A: 4 Q-: What is the units digit of 2298261548? Math A: 8 Q-: What is the hundreds digit of 7284734? Math A: 7 Q-: What is the units digit of 18273916? Math A: 6 Q-: What is the hundreds digit of 644? Math A: 6 Q-: What is the hundred thousands digit of 267264? Math A: 2 Q-: What is the hundred thousands digit of 200580720? Math A: 5 Q-: What is the hundred thousands digit of 242487? Math A: 2 Q-: What is the millions digit of 946799876? Math A: 6 Q-: What is the tens digit of 3124274044? Math A: 4 Q-: What is the tens digit of 943? Math A: 4 Q-: What is the ten thousands digit of 418254313? Math A: 5 Q-: What is the tens digit of 60966? Math A: 6 Q-: What is the units digit of 63274? Math A: 4 Q-: What is the thousands digit of 9088877? Math A: 8 Q-: What is the tens digit of 27400530? Math A: 3 Q-: What is the hundred thousands digit of 18247357? Math A: 2 Q-: What is the hundred millions digit of 138249109? Math A: 1 Q-: What is the ten thousands digit of 589026837? Math A: 2 Q-: What is the tens digit of 4466? Math A: 6 Q-: What is the tens digit of 10872? Math A: 7 Q-: What is the millions digit of 2773652417? Math A: 3 Q-: What is the ten thousands digit of 8815033? Math A: 1 Q-: What is the units digit of 998470? Math A: 0 Q-: What is the tens digit of 35911? Math A: 1 Q-: What is the ten millions digit of 62984979? Math A: 6 Q-: What is the ten thousands digit of 993467611? Math A: 6 Q-: What is the billions digit of 2203899898? Math A: 2 Q-: What is the thousands digit of 829319? Math A: 9 Q-: What is the units digit of 3573? Math A: 3 Q-: What is the units di
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measurement: conversion ----------------------- Problem: Convert 56952.84cm to micrometers. Reply: 569528400 Problem: What is thirty-three fifths of a millimeter in micrometers? Reply: 6600 Problem: How many years are there in 3/5 of a century? Reply: 60 Problem: What is 85917.97mg in grams? Reply: 85.91797 Problem: How many micrograms are there in seventeen halves of a milligram? Reply: 8500 Problem: Convert 0.6669742 weeks to minutes. Reply: 6723.099936 Problem: How many millilitres are there in twenty-seven halves of a litre? Reply: 13500 Problem: What is 430.3341 tonnes in nanograms? Reply: 430334100000000000 Problem: Convert 92.53115 milligrams to grams. Reply: 0.09253115 Problem: What is 0.415931 years in millennia? Reply: 0.000415931 Problem: What is eleven halves of a centimeter in millimeters? Reply: 55 Problem: What is six fifths of a kilogram in grams? Reply: 1200 Problem: How many nanometers are there in one tenth of a millimeter? Reply: 100000 Problem: What is 16.01194 milligrams in micrograms? Reply: 16011.94 Problem: How many micrometers are there in 1/4 of a millimeter? Reply: 250 Problem: Convert 3757.1 micrometers to millimeters. Reply: 3.7571 Problem: Convert 0.0622291 hours to nanoseconds. Reply: 224024760000 Problem: Convert 19.82765 litres to millilitres. Reply: 19827.65 Problem: How many minutes are there in 0.4092171s? Reply: 0.006820285 Problem: What is 686.0377ml in litres? Reply: 0.6860377 Problem: Convert 127.1505l to millilitres. Reply: 127150.5 Problem: How many minutes are there in eight thirds of a day? Reply: 3840 Problem: What is 987.585 months in decades? Reply: 8.229875 Problem: Convert 72145.07 millennia to months. Reply: 865740840 Problem: Convert 9956.948t to micrograms. Reply: 9956948000000000 Problem: How many milligrams are there in 39223.91ng? Reply: 0.03922391 Problem: What is 3.527322 nanograms in milligrams? Reply: 0.000003527322 Problem: What is 27/2 of a year in months? Reply: 162 Problem: Convert 0.7285893 millilitres
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numbers: gcd ------------ Question: What is the highest common factor of 456 and 244? Hence: 4 Question: What is the greatest common divisor of 176 and 3256? Hence: 88 Question: Calculate the highest common factor of 15369160 and 7136. Hence: 1784 Question: Calculate the greatest common divisor of 1142 and 72180110. Hence: 1142 Question: Calculate the highest common divisor of 304 and 418. Hence: 38 Question: Calculate the highest common divisor of 631560 and 240. Hence: 120 Question: Calculate the highest common divisor of 54 and 943372. Hence: 2 Question: What is the highest common divisor of 60137 and 1331? Hence: 121 Question: Calculate the greatest common factor of 116 and 245833. Hence: 29 Question: Calculate the highest common factor of 725496 and 16986. Hence: 114 Question: What is the highest common factor of 98411595 and 1380? Hence: 345 Question: What is the highest common divisor of 164282450 and 428? Hence: 214 Question: Calculate the highest common divisor of 3770 and 130. Hence: 130 Question: Calculate the highest common factor of 2222564 and 265171. Hence: 937 Question: What is the highest common divisor of 2619 and 610518? Hence: 291 Question: What is the greatest common divisor of 3629 and 191? Hence: 191 Question: What is the highest common divisor of 2613639 and 9891? Hence: 21 Question: Calculate the highest common factor of 44 and 6910871. Hence: 11 Question: What is the greatest common divisor of 10776802 and 1706? Hence: 1706 Question: What is the highest common divisor of 4614 and 834666? Hence: 6 Question: Calculate the greatest common divisor of 196938 and 21. Hence: 21 Question: What is the highest common divisor of 2016 and 882? Hence: 126 Question: What is the greatest common divisor of 249 and 878223? Hence: 249 Question: What is the highest common divisor of 1980480 and 80? Hence: 80 Question: What is the greatest common divisor of 223433 and 15281? Hence: 413 Question: What is the greatest common factor of 115 and 25? Hence: 5 Questi
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probability: swr p sequence --------------------------- Question: What is prob of sequence tby when three letters picked without replacement from {y: 2, m: 2, t: 1, b: 1, o: 1, f: 1}? →: 1/168 Question: Three letters picked without replacement from dfm. What is prob of sequence fdm? →: 1/6 Question: Three letters picked without replacement from lgnlgggnmmmg. Give prob of sequence nlg. →: 1/66 Question: Two letters picked without replacement from {w: 8, a: 7, p: 2, j: 1, f: 2}. Give prob of sequence pf. →: 1/95 Question: Three letters picked without replacement from qzqqnqqqzqzqzzqqq. What is prob of sequence qnz? →: 11/816 Question: Three letters picked without replacement from {t: 8, f: 5, w: 2}. What is prob of sequence wtf? →: 8/273 Question: Two letters picked without replacement from {s: 2, r: 6}. What is prob of sequence ss? →: 1/28 Question: Two letters picked without replacement from {z: 1, b: 3, j: 2, g: 1}. Give prob of sequence jb. →: 1/7 Question: Two letters picked without replacement from {x: 1, c: 2, l: 1, e: 2}. What is prob of sequence xl? →: 1/30 Question: Two letters picked without replacement from {c: 3, p: 2}. Give prob of sequence cc. →: 3/10 Question: Calculate prob of sequence pwx when three letters picked without replacement from xwtpptxtpx. →: 1/80 Question: What is prob of sequence rr when two letters picked without replacement from {r: 6, t: 4}? →: 1/3 Question: What is prob of sequence zz when two letters picked without replacement from {b: 2, z: 6, o: 1, h: 3}? →: 5/22 Question: Two letters picked without replacement from {d: 3, l: 2, z: 3}. What is prob of sequence zd? →: 9/56 Question: What is prob of sequence bb when two letters picked without replacement from ybajbajashbaa? →: 1/26 Question: What is prob of sequence rw when two letters picked without replacement from {w: 4, f: 5, r: 1, x: 1}? →: 2/55 Question: Two letters picked without replacement from kccllqkcccelk. What is prob of sequence eq? →: 1/156 Question: Two letters picke
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probability: swr p level set ---------------------------- Prompt: Two letters picked without replacement from {o: 4, k: 1, m: 4, w: 1}. Give prob of picking 2 m. A.: 2/15 Prompt: Calculate prob of picking 1 h, 1 o, and 1 k when three letters picked without replacement from {u: 1, o: 2, f: 4, k: 6, h: 1, l: 1}. A.: 12/455 Prompt: Two letters picked without replacement from rcprpiiw. Give prob of picking 1 i and 1 w. A.: 1/14 Prompt: Four letters picked without replacement from jjjcjjjjjjjcj. Give prob of picking 2 j and 2 c. A.: 1/13 Prompt: Three letters picked without replacement from {l: 4, d: 9, f: 1}. What is prob of picking 3 l? A.: 1/91 Prompt: Three letters picked without replacement from {p: 5, l: 5, f: 4}. What is prob of picking 1 f, 1 l, and 1 p? A.: 25/91 Prompt: What is prob of picking 2 z when two letters picked without replacement from {z: 7, m: 1}? A.: 3/4 Prompt: What is prob of picking 1 i and 1 e when two letters picked without replacement from {x: 1, i: 2, v: 2, l: 1, e: 4}? A.: 8/45 Prompt: Two letters picked without replacement from fzpbzbbbcbcc. Give prob of picking 1 c and 1 p. A.: 1/22 Prompt: What is prob of picking 1 p and 3 i when four letters picked without replacement from {x: 2, p: 2, z: 8, i: 5, y: 2}? A.: 5/969 Prompt: Calculate prob of picking 1 o, 1 f, and 1 a when three letters picked without replacement from {f: 4, x: 8, a: 1, t: 1, o: 1}. A.: 4/455 Prompt: Four letters picked without replacement from ttnttnjnttjt. Give prob of picking 3 n and 1 t. A.: 7/495 Prompt: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from asaamamaaaas. A.: 8/33 Prompt: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, a: 9}. A.: 1/22 Prompt: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from fyyyyfyfiyyffffiyf. A.: 64/153 Prompt: What is prob of picking 3 a when three letters picked without replacement from fyafrraaggrfgrffffa? A.: 4/969 Prompt:
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numbers: place value -------------------- Q/A: What is the ten thousands digit of 335937752? Resolution: 3 Q/A: What is the hundred thousands digit of 5962981? Resolution: 9 Q/A: What is the tens digit of 2626040? Resolution: 4 Q/A: What is the hundred millions digit of 107914973? Resolution: 1 Q/A: What is the ten thousands digit of 42720? Resolution: 4 Q/A: What is the units digit of 7832? Resolution: 2 Q/A: What is the thousands digit of 60462471? Resolution: 2 Q/A: What is the hundred thousands digit of 3409191756? Resolution: 1 Q/A: What is the hundred millions digit of 1044508918? Resolution: 0 Q/A: What is the units digit of 19834? Resolution: 4 Q/A: What is the tens digit of 29180? Resolution: 8 Q/A: What is the thousands digit of 7208266? Resolution: 8 Q/A: What is the ten thousands digit of 4858156? Resolution: 5 Q/A: What is the millions digit of 42709563? Resolution: 2 Q/A: What is the tens digit of 64452? Resolution: 5 Q/A: What is the tens digit of 93077? Resolution: 7 Q/A: What is the hundreds digit of 4060? Resolution: 0 Q/A: What is the hundreds digit of 7237? Resolution: 2 Q/A: What is the hundred thousands digit of 4970860? Resolution: 9 Q/A: What is the ten thousands digit of 668236235? Resolution: 3 Q/A: What is the units digit of 6678734? Resolution: 4 Q/A: What is the units digit of 10079? Resolution: 9 Q/A: What is the billions digit of 3428663355? Resolution: 3 Q/A: What is the tens digit of 832? Resolution: 3 Q/A: What is the thousands digit of 62092? Resolution: 2 Q/A: What is the hundreds digit of 8912380? Resolution: 3 Q/A: What is the hundreds digit of 2646? Resolution: 6 Q/A: What is the units digit of 679? Resolution: 9 Q/A: What is the hundreds digit of 6348127? Resolution: 1 Q/A: What is the thousands digit of 2908801842? Resolution: 1 Q/A: What is the hundreds digit of 107776? Resolution: 7 Q/A: What is the units digit of 205179? Resolution: 9 Q/A: What is the hundreds digit of 3607? Resolution: 6 Q/A: What is the hundred thousands
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measurement: time ----------------- Statement: What is 103 minutes before 8:45 AM? Response: 7:02 AM Statement: What is 421 minutes after 11:06 PM? Response: 6:07 AM Statement: How many minutes are there between 5:29 PM and 6:11 PM? Response: 42 Statement: What is 128 minutes after 9:12 AM? Response: 11:20 AM Statement: What is 90 minutes before 3:40 AM? Response: 2:10 AM Statement: What is 237 minutes after 7:55 PM? Response: 11:52 PM Statement: How many minutes are there between 2:06 AM and 1:10 PM? Response: 664 Statement: How many minutes are there between 6:12 PM and 1:00 AM? Response: 408 Statement: How many minutes are there between 7:43 AM and 7:05 PM? Response: 682 Statement: How many minutes are there between 10:34 AM and 2:49 PM? Response: 255 Statement: What is 126 minutes after 4:35 AM? Response: 6:41 AM Statement: What is 123 minutes before 11:22 AM? Response: 9:19 AM Statement: How many minutes are there between 5:00 AM and 11:39 AM? Response: 399 Statement: How many minutes are there between 9:05 AM and 8:06 PM? Response: 661 Statement: What is 153 minutes after 5:51 PM? Response: 8:24 PM Statement: How many minutes are there between 8:58 AM and 4:44 PM? Response: 466 Statement: What is 591 minutes before 6:54 PM? Response: 9:03 AM Statement: What is 176 minutes after 6:36 AM? Response: 9:32 AM Statement: How many minutes are there between 10:50 AM and 10:59 AM? Response: 9 Statement: How many minutes are there between 7:54 PM and 10:59 PM? Response: 185 Statement: What is 428 minutes after 10:50 PM? Response: 5:58 AM Statement: How many minutes are there between 10:05 AM and 6:32 PM? Response: 507 Statement: What is 304 minutes before 6:55 AM? Response: 1:51 AM Statement: What is 454 minutes after 8:22 AM? Response: 3:56 PM Statement: What is 51 minutes after 11:45 AM? Response: 12:36 PM Statement: How many minutes are there between 5:46 AM and 4:58 PM? Response: 672 Statement: How many minutes are there between 12:42 AM and 11:29 AM? Response: 647
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numbers: place value -------------------- Inquiry: What is the units digit of 34663329? Eval: 9 Inquiry: What is the thousands digit of 129344? Eval: 9 Inquiry: What is the thousands digit of 2058? Eval: 2 Inquiry: What is the hundred millions digit of 111263604? Eval: 1 Inquiry: What is the thousands digit of 8054? Eval: 8 Inquiry: What is the tens digit of 180? Eval: 8 Inquiry: What is the thousands digit of 58244584? Eval: 4 Inquiry: What is the tens digit of 13307? Eval: 0 Inquiry: What is the hundred thousands digit of 5467152? Eval: 4 Inquiry: What is the ten millions digit of 1014244474? Eval: 1 Inquiry: What is the tens digit of 14505? Eval: 0 Inquiry: What is the units digit of 9725? Eval: 5 Inquiry: What is the ten thousands digit of 55326? Eval: 5 Inquiry: What is the ten thousands digit of 5661705? Eval: 6 Inquiry: What is the hundred thousands digit of 969199? Eval: 9 Inquiry: What is the ten thousands digit of 17603884? Eval: 0 Inquiry: What is the tens digit of 3234? Eval: 3 Inquiry: What is the hundreds digit of 1279? Eval: 2 Inquiry: What is the units digit of 101415952? Eval: 2 Inquiry: What is the tens digit of 1102? Eval: 0 Inquiry: What is the ten thousands digit of 2054295? Eval: 5 Inquiry: What is the tens digit of 23353? Eval: 5 Inquiry: What is the units digit of 141562? Eval: 2 Inquiry: What is the tens digit of 3353493? Eval: 9 Inquiry: What is the ten thousands digit of 28105? Eval: 2 Inquiry: What is the units digit of 49072? Eval: 2 Inquiry: What is the ten millions digit of 584312795? Eval: 8 Inquiry: What is the millions digit of 159293757? Eval: 9 Inquiry: What is the thousands digit of 360101? Eval: 0 Inquiry: What is the units digit of 104? Eval: 4 Inquiry: What is the ten millions digit of 990165530? Eval: 9 Inquiry: What is the thousands digit of 3101? Eval: 3 Inquiry: What is the hundreds digit of 1167921311? Eval: 3 Inquiry: What is the units digit of 36454856? Eval: 6 Inquiry: What is the tens digit of 21048? Eval: 4 Inquiry:
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numbers: is factor ------------------ Item: Is 11409 a multiple of 15? Compute: False Item: Is 9730 a multiple of 14? Compute: True Item: Is 2 a factor of 2185102? Compute: True Item: Is 2149264 a multiple of 208? Compute: True Item: Does 20 divide 2888? Compute: False Item: Is 855624 a multiple of 66? Compute: True Item: Is 42251057 a multiple of 1885? Compute: False Item: Does 9 divide 295346628? Compute: True Item: Is 9037680 a multiple of 24? Compute: True Item: Does 23 divide 9853? Compute: False Item: Does 18 divide 89226? Compute: True Item: Is 11 a factor of 5159? Compute: True Item: Does 116 divide 187920? Compute: True Item: Is 86 a factor of 2311852? Compute: True Item: Is 486 a factor of 268272? Compute: True Item: Is 301172 a multiple of 68? Compute: True Item: Is 153726104 a multiple of 17? Compute: True Item: Does 6 divide 67002? Compute: True Item: Is 2 a factor of 3236? Compute: True Item: Is 44048 a multiple of 14? Compute: False Item: Does 13 divide 13728? Compute: True Item: Is 48 a factor of 432? Compute: True Item: Does 11 divide 62601? Compute: True Item: Does 6 divide 300? Compute: True Item: Is 6 a factor of 138? Compute: True Item: Is 93992238 a multiple of 9? Compute: True Item: Is 33 a factor of 2354? Compute: False Item: Is 192387 a multiple of 13? Compute: True Item: Is 345 a factor of 50715? Compute: True Item: Is 12 a factor of 147? Compute: False Item: Is 13788 a multiple of 36? Compute: True Item: Does 25 divide 3147325? Compute: True Item: Is 84725195 a multiple of 52? Compute: False Item: Does 129 divide 130637479? Compute: False Item: Is 2 a factor of 247679? Compute: False Item: Is 307 a multiple of 2? Compute: False Item: Is 16 a factor of 9781008? Compute: True Item: Is 1750 a multiple of 25? Compute: True Item: Does 31 divide 9711795? Compute: False Item: Is 50 a factor of 332800? Compute: True Item: Is 5 a factor of 7455? Compute: True Item: Does 593 divide 712924? Compute: False Item: Is 4974717277 a multiple of 529? Comput
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measurement: time ----------------- Q-: How many minutes are there between 8:39 PM and 5:34 AM? Solution: 535 Q-: What is 60 minutes before 1:01 PM? Solution: 12:01 PM Q-: What is 524 minutes after 1:05 AM? Solution: 9:49 AM Q-: How many minutes are there between 1:37 AM and 9:58 AM? Solution: 501 Q-: How many minutes are there between 4:19 AM and 7:15 AM? Solution: 176 Q-: What is 250 minutes after 8:05 AM? Solution: 12:15 PM Q-: What is 661 minutes after 3:59 AM? Solution: 3:00 PM Q-: What is 631 minutes after 7:04 AM? Solution: 5:35 PM Q-: How many minutes are there between 8:19 PM and 12:49 AM? Solution: 270 Q-: How many minutes are there between 12:25 PM and 8:37 PM? Solution: 492 Q-: How many minutes are there between 8:39 AM and 4:04 PM? Solution: 445 Q-: How many minutes are there between 1:46 PM and 5:57 PM? Solution: 251 Q-: What is 528 minutes after 7:03 PM? Solution: 3:51 AM Q-: How many minutes are there between 3:26 PM and 9:33 PM? Solution: 367 Q-: What is 597 minutes before 1:20 PM? Solution: 3:23 AM Q-: What is 54 minutes after 1:20 PM? Solution: 2:14 PM Q-: How many minutes are there between 3:05 AM and 4:22 AM? Solution: 77 Q-: What is 166 minutes before 5:05 PM? Solution: 2:19 PM Q-: What is 423 minutes before 7:30 PM? Solution: 12:27 PM Q-: How many minutes are there between 3:38 AM and 2:02 PM? Solution: 624 Q-: How many minutes are there between 4:23 PM and 11:21 PM? Solution: 418 Q-: What is 646 minutes after 7:31 PM? Solution: 6:17 AM Q-: How many minutes are there between 9:46 PM and 3:07 AM? Solution: 321 Q-: How many minutes are there between 10:14 PM and 1:31 AM? Solution: 197 Q-: What is 42 minutes after 7:07 AM? Solution: 7:49 AM Q-: What is 620 minutes after 3:13 AM? Solution: 1:33 PM Q-: How many minutes are there between 1:54 AM and 10:16 AM? Solution: 502 Q-: What is 283 minutes after 2:56 PM? Solution: 7:39 PM Q-: What is 249 minutes before 12:30 PM? Solution: 8:21 AM Q-: What is 423 minutes before 7:11 PM? Solution: 12:08 PM Q-:
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probability: swr p sequence --------------------------- Question: Three letters picked without replacement from {p: 2, z: 1, b: 1}. What is prob of sequence zpb? A.: 1/12 Question: Calculate prob of sequence zk when two letters picked without replacement from zvxvzvvklzzvzlkz. A.: 1/20 Question: What is prob of sequence euuu when four letters picked without replacement from ueueeeueee? A.: 1/120 Question: Four letters picked without replacement from shbfhhhtobfbts. Give prob of sequence ftft. A.: 1/6006 Question: Two letters picked without replacement from jttutkekkjcjcct. Give prob of sequence uk. A.: 1/70 Question: Two letters picked without replacement from lol. Give prob of sequence ll. A.: 1/3 Question: What is prob of sequence wss when three letters picked without replacement from wwswwwsswww? A.: 8/165 Question: What is prob of sequence zdgg when four letters picked without replacement from {g: 2, h: 4, z: 12, d: 2}? A.: 2/4845 Question: What is prob of sequence tg when two letters picked without replacement from gttgttttttt? A.: 9/55 Question: Four letters picked without replacement from rpnbineininnerrnnrni. Give prob of sequence ieie. A.: 1/4845 Question: Three letters picked without replacement from {y: 4, m: 2, i: 3}. What is prob of sequence imy? A.: 1/21 Question: Two letters picked without replacement from {d: 2, q: 2, i: 2, z: 1, h: 1, m: 1}. Give prob of sequence mh. A.: 1/72 Question: Two letters picked without replacement from pppppppppppppbp. Give prob of sequence pp. A.: 13/15 Question: What is prob of sequence jjj when three letters picked without replacement from bbjbbjjbjjbbbbbjbbjx? A.: 7/228 Question: Calculate prob of sequence eii when three letters picked without replacement from ehehehhiehehehhih. A.: 1/340 Question: Calculate prob of sequence zpou when four letters picked without replacement from uppzpoouoxoof. A.: 1/572 Question: What is prob of sequence ji when two letters picked without replacement from jjjjvjjijvvjjjj? A.: 11/210 Qu
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numbers: is prime ----------------- Problem Statement: Is 714053 a composite number? Result: True Problem Statement: Is 47237 a composite number? Result: False Problem Statement: Is 247325999 a prime number? Result: True Problem Statement: Is 84414138157 prime? Result: True Problem Statement: Is 19182547 prime? Result: False Problem Statement: Is 163187 composite? Result: True Problem Statement: Is 65783 prime? Result: False Problem Statement: Is 144641 a composite number? Result: True Problem Statement: Is 280432114 prime? Result: False Problem Statement: Is 84049127 prime? Result: False Problem Statement: Is 4928117 a composite number? Result: False Problem Statement: Is 43543 composite? Result: False Problem Statement: Is 4009 composite? Result: True Problem Statement: Is 14369 composite? Result: False Problem Statement: Is 134818 a prime number? Result: False Problem Statement: Is 2743397 a composite number? Result: False Problem Statement: Is 10427 prime? Result: True Problem Statement: Is 239093969 a prime number? Result: True Problem Statement: Is 4661 a prime number? Result: False Problem Statement: Is 9151 composite? Result: False Problem Statement: Is 3313 composite? Result: False Problem Statement: Is 15671273 a prime number? Result: False Problem Statement: Is 180375137 composite? Result: True Problem Statement: Is 12841 composite? Result: False Problem Statement: Is 123055528055 a composite number? Result: True Problem Statement: Is 614947111 composite? Result: False Problem Statement: Is 62788487 composite? Result: False Problem Statement: Is 153817 composite? Result: False Problem Statement: Is 1043171 a composite number? Result: True Problem Statement: Is 26323973831 prime? Result: True Problem Statement: Is 80471 a composite number? Result: False Problem Statement: Is 161366551466 a prime number? Result: False Problem Statement: Is 16253 a composite number? Result: False Problem Statement: Is 2449916437 composite? Result: False Problem Statement: Is
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numbers: is prime ----------------- Problem Statement: Is 4622473 a composite number? Workthrough: True Problem Statement: Is 16645 a composite number? Workthrough: True Problem Statement: Is 3371 a prime number? Workthrough: True Problem Statement: Is 4087392521 prime? Workthrough: True Problem Statement: Is 101693 a composite number? Workthrough: False Problem Statement: Is 10279 composite? Workthrough: True Problem Statement: Is 347609 a prime number? Workthrough: True Problem Statement: Is 903758231 prime? Workthrough: True Problem Statement: Is 268506833 composite? Workthrough: True Problem Statement: Is 10301 composite? Workthrough: False Problem Statement: Is 81056609 a composite number? Workthrough: False Problem Statement: Is 27488873 a prime number? Workthrough: True Problem Statement: Is 1223 composite? Workthrough: False Problem Statement: Is 296333 a prime number? Workthrough: False Problem Statement: Is 885948769 composite? Workthrough: False Problem Statement: Is 597369037 prime? Workthrough: True Problem Statement: Is 30412421 composite? Workthrough: True Problem Statement: Is 907197 prime? Workthrough: False Problem Statement: Is 12023 a prime number? Workthrough: False Problem Statement: Is 9071 composite? Workthrough: True Problem Statement: Is 57712455769 a composite number? Workthrough: False Problem Statement: Is 4641173 composite? Workthrough: True Problem Statement: Is 62681 a prime number? Workthrough: False Problem Statement: Is 153640127 a composite number? Workthrough: False Problem Statement: Is 9942300197 composite? Workthrough: False Problem Statement: Is 1712707 prime? Workthrough: True Problem Statement: Is 3561766697 a composite number? Workthrough: False Problem Statement: Is 165841 a prime number? Workthrough: False Problem Statement: Is 20741 composite? Workthrough: True Problem Statement: Is 3435925531 a prime number? Workthrough: False Problem Statement: Is 290697031 composite? Workthrough: True Problem Statement: Is 25212263 a
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measurement: time ----------------- Prompt: What is 254 minutes before 10:15 AM? Outcome: 6:01 AM Prompt: What is 217 minutes after 7:38 PM? Outcome: 11:15 PM Prompt: What is 14 minutes after 10:23 AM? Outcome: 10:37 AM Prompt: What is 445 minutes after 2:33 AM? Outcome: 9:58 AM Prompt: How many minutes are there between 5:49 AM and 7:26 AM? Outcome: 97 Prompt: What is 463 minutes after 7:56 PM? Outcome: 3:39 AM Prompt: How many minutes are there between 1:53 AM and 4:45 AM? Outcome: 172 Prompt: How many minutes are there between 1:23 PM and 2:14 PM? Outcome: 51 Prompt: How many minutes are there between 5:30 PM and 3:26 AM? Outcome: 596 Prompt: What is 107 minutes after 4:59 PM? Outcome: 6:46 PM Prompt: What is 331 minutes before 10:50 AM? Outcome: 5:19 AM Prompt: How many minutes are there between 3:51 AM and 6:08 AM? Outcome: 137 Prompt: How many minutes are there between 12:09 PM and 4:39 PM? Outcome: 270 Prompt: What is 462 minutes after 9:16 PM? Outcome: 4:58 AM Prompt: How many minutes are there between 10:12 AM and 1:17 PM? Outcome: 185 Prompt: What is 466 minutes before 7:11 AM? Outcome: 11:25 PM Prompt: How many minutes are there between 12:36 AM and 3:04 AM? Outcome: 148 Prompt: How many minutes are there between 8:17 AM and 5:03 PM? Outcome: 526 Prompt: What is 323 minutes before 12:51 PM? Outcome: 7:28 AM Prompt: How many minutes are there between 8:04 AM and 6:11 PM? Outcome: 607 Prompt: How many minutes are there between 3:49 PM and 2:30 AM? Outcome: 641 Prompt: How many minutes are there between 3:57 PM and 9:50 PM? Outcome: 353 Prompt: What is 420 minutes after 11:52 PM? Outcome: 6:52 AM Prompt: What is 56 minutes before 6:28 AM? Outcome: 5:32 AM Prompt: How many minutes are there between 10:58 PM and 10:38 AM? Outcome: 700 Prompt: How many minutes are there between 11:11 AM and 7:21 PM? Outcome: 490 Prompt: What is 687 minutes before 10:56 AM? Outcome: 11:29 PM Prompt: How many minutes are there between 2:38 AM and 2:50 AM? Outcome: 12 Prompt: What
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numbers: place value -------------------- Q-: What is the ten millions digit of 194277692? Conclusion: 9 Q-: What is the units digit of 1751771883? Conclusion: 3 Q-: What is the hundreds digit of 19508? Conclusion: 5 Q-: What is the tens digit of 175993? Conclusion: 9 Q-: What is the tens digit of 672? Conclusion: 7 Q-: What is the tens digit of 2860901? Conclusion: 0 Q-: What is the ten millions digit of 460236328? Conclusion: 6 Q-: What is the hundred thousands digit of 4784676? Conclusion: 7 Q-: What is the units digit of 967? Conclusion: 7 Q-: What is the ten thousands digit of 463592? Conclusion: 6 Q-: What is the tens digit of 107907895? Conclusion: 9 Q-: What is the units digit of 64982132? Conclusion: 2 Q-: What is the hundreds digit of 1479524? Conclusion: 5 Q-: What is the thousands digit of 157984? Conclusion: 7 Q-: What is the units digit of 2365115? Conclusion: 5 Q-: What is the ten thousands digit of 54087468? Conclusion: 8 Q-: What is the hundred thousands digit of 9143400? Conclusion: 1 Q-: What is the hundreds digit of 218764? Conclusion: 7 Q-: What is the tens digit of 74? Conclusion: 7 Q-: What is the tens digit of 125024? Conclusion: 2 Q-: What is the millions digit of 10940537? Conclusion: 0 Q-: What is the hundreds digit of 68702? Conclusion: 7 Q-: What is the units digit of 63222? Conclusion: 2 Q-: What is the ten thousands digit of 991037? Conclusion: 9 Q-: What is the hundreds digit of 180571? Conclusion: 5 Q-: What is the ten thousands digit of 21098? Conclusion: 2 Q-: What is the hundred thousands digit of 471609? Conclusion: 4 Q-: What is the tens digit of 31837? Conclusion: 3 Q-: What is the ten millions digit of 20961627? Conclusion: 2 Q-: What is the hundreds digit of 3523677752? Conclusion: 7 Q-: What is the hundreds digit of 1132703? Conclusion: 7 Q-: What is the millions digit of 9096508? Conclusion: 9 Q-: What is the tens digit of 588? Conclusion: 8 Q-: What is the units digit of 267? Conclusion: 7 Q-: What is the units digit of 38
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probability: swr p level set ---------------------------- Example: Three letters picked without replacement from nnggnnggcggkgkmc. Give prob of picking 1 k and 2 c. →: 1/280 Example: What is prob of picking 1 u, 1 l, and 1 i when three letters picked without replacement from {p: 1, u: 1, i: 1, l: 1, k: 1}? →: 1/10 Example: What is prob of picking 1 b and 2 p when three letters picked without replacement from bbwzzwzbpbbbbpbbp? →: 27/680 Example: Two letters picked without replacement from eedrakl. Give prob of picking 1 d and 1 k. →: 1/21 Example: What is prob of picking 1 k, 1 b, 1 p, and 1 j when four letters picked without replacement from {p: 1, b: 4, k: 3, g: 3, j: 2, v: 3}? →: 6/455 Example: What is prob of picking 1 i, 1 g, 1 q, and 1 h when four letters picked without replacement from ikigiiqgqklih? →: 4/143 Example: What is prob of picking 3 b when three letters picked without replacement from {b: 7}? →: 1 Example: What is prob of picking 2 l and 1 y when three letters picked without replacement from {n: 3, y: 4, l: 5}? →: 2/11 Example: Four letters picked without replacement from {n: 2, y: 9, h: 7}. What is prob of picking 1 n and 3 h? →: 7/306 Example: Three letters picked without replacement from {s: 1, x: 2, d: 1, n: 1, t: 1, r: 2}. Give prob of picking 1 d and 2 r. →: 1/56 Example: Three letters picked without replacement from {a: 7, j: 2, q: 2, u: 1, c: 4}. What is prob of picking 2 c and 1 j? →: 3/140 Example: Two letters picked without replacement from {e: 1, v: 4, g: 1, f: 4, l: 1, m: 3}. What is prob of picking 1 l and 1 m? →: 3/91 Example: Two letters picked without replacement from {u: 1, r: 1, z: 1, k: 2}. What is prob of picking 1 r and 1 k? →: 1/5 Example: Three letters picked without replacement from rlrjjlrr. Give prob of picking 2 j and 1 r. →: 1/14 Example: What is prob of picking 1 e and 1 d when two letters picked without replacement from {y: 1, v: 2, z: 1, d: 4, h: 2, e: 2}? →: 4/33 Example: Three letters picked without replacement fro
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numbers: is prime ----------------- Subquestion: Is 14356278511 composite? Soln: False Subquestion: Is 22381 composite? Soln: False Subquestion: Is 2964603023 a composite number? Soln: False Subquestion: Is 305115181 prime? Soln: False Subquestion: Is 14674601 a composite number? Soln: True Subquestion: Is 7452433 a prime number? Soln: True Subquestion: Is 236339 prime? Soln: True Subquestion: Is 8015070601 a prime number? Soln: False Subquestion: Is 358641329 prime? Soln: True Subquestion: Is 55609913 a prime number? Soln: True Subquestion: Is 1087 composite? Soln: False Subquestion: Is 658477 a prime number? Soln: True Subquestion: Is 71953501 a prime number? Soln: False Subquestion: Is 55098495329 a composite number? Soln: False Subquestion: Is 608637409 a prime number? Soln: False Subquestion: Is 26431 a composite number? Soln: False Subquestion: Is 221283683 composite? Soln: True Subquestion: Is 691787 prime? Soln: True Subquestion: Is 1122150643 prime? Soln: True Subquestion: Is 21891 composite? Soln: True Subquestion: Is 3979 composite? Soln: True Subquestion: Is 244073 a prime number? Soln: False Subquestion: Is 9629329 prime? Soln: True Subquestion: Is 206562052933 a prime number? Soln: True Subquestion: Is 21467 prime? Soln: True Subquestion: Is 134 prime? Soln: False Subquestion: Is 1450613 prime? Soln: True Subquestion: Is 19286 composite? Soln: True Subquestion: Is 10516397 a composite number? Soln: False Subquestion: Is 69202233073 composite? Soln: False Subquestion: Is 30420953 composite? Soln: False Subquestion: Is 624071 composite? Soln: True Subquestion: Is 56581814299 composite? Soln: False Subquestion: Is 401231 prime? Soln: True Subquestion: Is 28089664513 a composite number? Soln: False Subquestion: Is 20345660443 composite? Soln: True Subquestion: Is 263873 composite? Soln: True Subquestion: Is 15815371519 a composite number? Soln: True Subquestion: Is 103579 composite? Soln: True Subquestion: Is 1357 a composite number? Soln: True Subquestion
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numbers: is factor ------------------ Input: Is 54 a factor of 11880? Clarification: True Input: Does 134 divide 5181? Clarification: False Input: Is 54281621 a multiple of 8? Clarification: False Input: Does 10 divide 2371? Clarification: False Input: Is 32 a factor of 251? Clarification: False Input: Is 33372457 a multiple of 40? Clarification: False Input: Does 41 divide 68523218? Clarification: True Input: Is 49826812 a multiple of 14? Clarification: True Input: Is 66995421 a multiple of 127? Clarification: True Input: Is 15 a factor of 660? Clarification: True Input: Does 2829 divide 412705836? Clarification: True Input: Is 28357381 a multiple of 208? Clarification: False Input: Does 7 divide 1707? Clarification: False Input: Is 1782 a multiple of 33? Clarification: True Input: Is 2050480 a multiple of 355? Clarification: True Input: Is 33545 a multiple of 29? Clarification: False Input: Is 98465416 a multiple of 24? Clarification: False Input: Is 1917061364 a multiple of 1396? Clarification: False Input: Does 7 divide 6377167? Clarification: False Input: Does 8 divide 654460436? Clarification: False Input: Does 208 divide 173829? Clarification: False Input: Does 13 divide 2346911? Clarification: False Input: Does 32 divide 416? Clarification: True Input: Is 165 a factor of 4916340? Clarification: True Input: Does 13 divide 2579180? Clarification: False Input: Is 5 a factor of 25281930? Clarification: True Input: Is 5554188 a multiple of 159? Clarification: True Input: Is 44 a factor of 16326? Clarification: False Input: Is 17567592 a multiple of 56? Clarification: True Input: Is 5 a factor of 49425? Clarification: True Input: Is 10 a factor of 1296133? Clarification: False Input: Does 739 divide 154241863? Clarification: True Input: Is 141 a factor of 501882? Clarification: False Input: Does 331 divide 38227? Clarification: False Input: Does 4 divide 1082? Clarification: False Input: Is 3952 a multiple of 38? Clarification: True Input: Does 12 divide 65568? Cl
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numbers: div remainder ---------------------- Topic: What is the remainder when 61487 is divided by 24? Solution: 23 Topic: What is the remainder when 95673 is divided by 17? Solution: 14 Topic: Calculate the remainder when 980 is divided by 107. Solution: 17 Topic: What is the remainder when 1471912 is divided by 3904? Solution: 104 Topic: Calculate the remainder when 212803 is divided by 70920. Solution: 43 Topic: Calculate the remainder when 244 is divided by 49. Solution: 48 Topic: What is the remainder when 30 is divided by 22? Solution: 8 Topic: What is the remainder when 760870 is divided by 15? Solution: 10 Topic: What is the remainder when 213 is divided by 53? Solution: 1 Topic: Calculate the remainder when 11491314 is divided by 1386. Solution: 1374 Topic: Calculate the remainder when 11041 is divided by 1378. Solution: 17 Topic: Calculate the remainder when 10 is divided by 7. Solution: 3 Topic: What is the remainder when 181 is divided by 20? Solution: 1 Topic: Calculate the remainder when 273503 is divided by 2037. Solution: 545 Topic: Calculate the remainder when 3939077 is divided by 1387. Solution: 1384 Topic: What is the remainder when 3211877 is divided by 18? Solution: 11 Topic: What is the remainder when 1081 is divided by 132? Solution: 25 Topic: Calculate the remainder when 185 is divided by 27. Solution: 23 Topic: What is the remainder when 9738 is divided by 4865? Solution: 8 Topic: Calculate the remainder when 70551038 is divided by 8. Solution: 6 Topic: What is the remainder when 20643296 is divided by 10321636? Solution: 24 Topic: What is the remainder when 28068 is divided by 7006? Solution: 44 Topic: What is the remainder when 108681 is divided by 49? Solution: 48 Topic: Calculate the remainder when 58230 is divided by 448. Solution: 438 Topic: What is the remainder when 153 is divided by 139? Solution: 14 Topic: Calculate the remainder when 8168 is divided by 2618. Solution: 314 Topic: Calculate the remainder when 587 is divided by 118
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numbers: place value -------------------- Request: What is the hundred thousands digit of 515216609? A: 2 Request: What is the tens digit of 302? A: 0 Request: What is the ten millions digit of 74735935? A: 7 Request: What is the hundred millions digit of 415097778? A: 4 Request: What is the hundreds digit of 454472? A: 4 Request: What is the ten thousands digit of 25251506? A: 5 Request: What is the millions digit of 42022625? A: 2 Request: What is the hundreds digit of 2724442? A: 4 Request: What is the thousands digit of 62922? A: 2 Request: What is the thousands digit of 152577919? A: 7 Request: What is the hundreds digit of 1374? A: 3 Request: What is the hundreds digit of 9868549? A: 5 Request: What is the hundreds digit of 79468? A: 4 Request: What is the units digit of 256? A: 6 Request: What is the millions digit of 62542860? A: 2 Request: What is the ten thousands digit of 35788? A: 3 Request: What is the thousands digit of 6097? A: 6 Request: What is the millions digit of 1808677? A: 1 Request: What is the tens digit of 17277538? A: 3 Request: What is the tens digit of 1513232? A: 3 Request: What is the hundred thousands digit of 98288178? A: 2 Request: What is the hundreds digit of 43771800? A: 8 Request: What is the units digit of 441554? A: 4 Request: What is the thousands digit of 39457? A: 9 Request: What is the hundred thousands digit of 1479380? A: 4 Request: What is the ten thousands digit of 104758884? A: 5 Request: What is the units digit of 72588? A: 8 Request: What is the hundred thousands digit of 100718? A: 1 Request: What is the hundreds digit of 4454? A: 4 Request: What is the tens digit of 5373? A: 7 Request: What is the millions digit of 725998973? A: 5 Request: What is the units digit of 5258? A: 8 Request: What is the hundreds digit of 592? A: 5 Request: What is the hundreds digit of 22771? A: 7 Request: What is the units digit of 2826? A: 6 Request: What is the tens digit of 996256? A: 5 Request: What is the thousands digit of 2206? A
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numbers: div remainder ---------------------- Subquestion: What is the remainder when 488716 is divided by 488584? Compute: 132 Subquestion: Calculate the remainder when 394 is divided by 134. Compute: 126 Subquestion: What is the remainder when 57099 is divided by 5530? Compute: 1799 Subquestion: Calculate the remainder when 268 is divided by 46. Compute: 38 Subquestion: What is the remainder when 5641 is divided by 57? Compute: 55 Subquestion: What is the remainder when 11737540 is divided by 14? Compute: 10 Subquestion: What is the remainder when 1443 is divided by 316? Compute: 179 Subquestion: What is the remainder when 156432 is divided by 44? Compute: 12 Subquestion: What is the remainder when 379 is divided by 10? Compute: 9 Subquestion: What is the remainder when 15795 is divided by 7474? Compute: 847 Subquestion: Calculate the remainder when 51179112 is divided by 133. Compute: 47 Subquestion: What is the remainder when 11644 is divided by 335? Compute: 254 Subquestion: What is the remainder when 227070 is divided by 7829? Compute: 29 Subquestion: What is the remainder when 128632 is divided by 313? Compute: 302 Subquestion: Calculate the remainder when 545 is divided by 111. Compute: 101 Subquestion: What is the remainder when 80535 is divided by 157? Compute: 151 Subquestion: What is the remainder when 171287 is divided by 34235? Compute: 112 Subquestion: Calculate the remainder when 199869 is divided by 115. Compute: 114 Subquestion: What is the remainder when 347407 is divided by 2429? Compute: 60 Subquestion: What is the remainder when 5657 is divided by 1128? Compute: 17 Subquestion: Calculate the remainder when 301507 is divided by 55. Compute: 52 Subquestion: Calculate the remainder when 771911 is divided by 14564. Compute: 19 Subquestion: What is the remainder when 1133 is divided by 223? Compute: 18 Subquestion: What is the remainder when 10235911 is divided by 10235894? Compute: 17 Subquestion: What is the remainder when 130122 is divided by 25?
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measurement: time ----------------- Problem: How many minutes are there between 5:37 AM and 12:31 PM? Output: 414 Problem: What is 11 minutes before 5:03 AM? Output: 4:52 AM Problem: What is 292 minutes after 1:03 AM? Output: 5:55 AM Problem: How many minutes are there between 4:47 PM and 6:47 PM? Output: 120 Problem: What is 52 minutes after 2:21 PM? Output: 3:13 PM Problem: What is 107 minutes before 2:03 AM? Output: 12:16 AM Problem: What is 244 minutes before 5:43 AM? Output: 1:39 AM Problem: How many minutes are there between 11:44 PM and 9:29 AM? Output: 585 Problem: What is 367 minutes before 8:06 PM? Output: 1:59 PM Problem: How many minutes are there between 9:10 AM and 5:18 PM? Output: 488 Problem: How many minutes are there between 3:49 PM and 1:13 AM? Output: 564 Problem: What is 244 minutes after 4:23 AM? Output: 8:27 AM Problem: What is 676 minutes before 4:40 PM? Output: 5:24 AM Problem: How many minutes are there between 2:52 AM and 5:25 AM? Output: 153 Problem: How many minutes are there between 1:57 PM and 11:06 PM? Output: 549 Problem: What is 173 minutes after 5:08 PM? Output: 8:01 PM Problem: What is 672 minutes before 2:26 AM? Output: 3:14 PM Problem: What is 41 minutes before 10:52 AM? Output: 10:11 AM Problem: How many minutes are there between 8:12 AM and 11:39 AM? Output: 207 Problem: How many minutes are there between 2:27 AM and 7:19 AM? Output: 292 Problem: How many minutes are there between 12:23 AM and 3:01 AM? Output: 158 Problem: What is 48 minutes after 11:43 PM? Output: 12:31 AM Problem: What is 286 minutes after 7:00 AM? Output: 11:46 AM Problem: How many minutes are there between 9:45 AM and 6:19 PM? Output: 514 Problem: What is 197 minutes after 11:27 PM? Output: 2:44 AM Problem: What is 19 minutes before 10:01 AM? Output: 9:42 AM Problem: How many minutes are there between 12:01 PM and 4:52 PM? Output: 291 Problem: What is 652 minutes after 4:55 PM? Output: 3:47 AM Problem: How many minutes are there between 5:04 AM and 4:53 PM
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probability: swr p sequence --------------------------- Part A: Three letters picked without replacement from zmzxzxzxmxzmxxmzx. Give prob of sequence mmz. Reply: 3/170 Part A: What is prob of sequence leb when three letters picked without replacement from {l: 1, t: 9, b: 4, e: 1}? Reply: 2/1365 Part A: Three letters picked without replacement from {i: 2, b: 11, y: 1}. What is prob of sequence byy? Reply: 0 Part A: What is prob of sequence sa when two letters picked without replacement from tasataaiaioia? Reply: 1/26 Part A: Three letters picked without replacement from {y: 4, o: 2, x: 1, i: 1, s: 10}. What is prob of sequence oxi? Reply: 1/2448 Part A: What is prob of sequence xxx when three letters picked without replacement from oxxrxjo? Reply: 1/35 Part A: Four letters picked without replacement from aaaalalaaalaaaalaa. Give prob of sequence llla. Reply: 7/1530 Part A: Four letters picked without replacement from aurnfufnfufnhf. Give prob of sequence rfua. Reply: 5/8008 Part A: Calculate prob of sequence xixw when four letters picked without replacement from {o: 4, x: 3, w: 2, i: 1}. Reply: 1/420 Part A: Four letters picked without replacement from {b: 2, e: 3, a: 5}. What is prob of sequence abee? Reply: 1/84 Part A: Calculate prob of sequence ss when two letters picked without replacement from dddsddsdsdssd. Reply: 5/39 Part A: Four letters picked without replacement from milzzllrzzmismlzli. What is prob of sequence smiz? Reply: 1/1632 Part A: Calculate prob of sequence ev when two letters picked without replacement from tttttvvme. Reply: 1/36 Part A: Calculate prob of sequence otp when three letters picked without replacement from ohpgogogbgothtg. Reply: 4/1365 Part A: Three letters picked without replacement from {g: 1, s: 1, y: 7, q: 5, x: 1}. Give prob of sequence qqx. Reply: 2/273 Part A: Calculate prob of sequence skd when three letters picked without replacement from spdpskppsppspd. Reply: 1/273 Part A: Three letters picked without replacement from {a:
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probability: swr p level set ---------------------------- Example: Calculate prob of picking 2 k and 2 a when four letters picked without replacement from asakskkka. Answer: 1/7 Example: Two letters picked without replacement from {t: 2, p: 2, m: 1}. What is prob of picking 2 p? Answer: 1/10 Example: Two letters picked without replacement from {u: 7, q: 6}. Give prob of picking 1 u and 1 q. Answer: 7/13 Example: Four letters picked without replacement from oococccooccooooc. Give prob of picking 4 o. Answer: 9/130 Example: Three letters picked without replacement from {t: 3, v: 4, e: 7}. Give prob of picking 3 e. Answer: 5/52 Example: Calculate prob of picking 1 t and 3 j when four letters picked without replacement from jtjjjjjj. Answer: 1/2 Example: Two letters picked without replacement from {c: 1, g: 2, j: 1, x: 3, t: 1, o: 4}. What is prob of picking 1 c and 1 t? Answer: 1/66 Example: Four letters picked without replacement from {m: 3, z: 1, h: 5, c: 1, g: 4}. Give prob of picking 2 h and 2 g. Answer: 60/1001 Example: What is prob of picking 2 b when two letters picked without replacement from {f: 2, b: 4}? Answer: 2/5 Example: What is prob of picking 2 s and 1 w when three letters picked without replacement from rwsswz? Answer: 1/10 Example: Three letters picked without replacement from {q: 4, r: 15}. What is prob of picking 1 r and 2 q? Answer: 30/323 Example: Three letters picked without replacement from fdqdlqfdqqdydqqyy. What is prob of picking 1 y, 1 l, and 1 f? Answer: 3/340 Example: What is prob of picking 2 t when two letters picked without replacement from ttn? Answer: 1/3 Example: Calculate prob of picking 2 j when two letters picked without replacement from {m: 3, j: 15}. Answer: 35/51 Example: What is prob of picking 1 n and 2 f when three letters picked without replacement from nwnfwfww? Answer: 1/28 Example: Calculate prob of picking 1 z and 2 c when three letters picked without replacement from zcczikiiiccisisrkzic. Answer: 1/38 Example: Two lett
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measurement: time ----------------- Q-: What is 691 minutes before 1:45 AM? Solution: 2:14 PM Q-: What is 211 minutes before 9:49 PM? Solution: 6:18 PM Q-: How many minutes are there between 6:34 AM and 5:50 PM? Solution: 676 Q-: What is 101 minutes after 10:32 PM? Solution: 12:13 AM Q-: How many minutes are there between 4:00 PM and 12:11 AM? Solution: 491 Q-: How many minutes are there between 7:45 AM and 12:10 PM? Solution: 265 Q-: What is 203 minutes before 12:55 PM? Solution: 9:32 AM Q-: How many minutes are there between 1:13 AM and 6:45 AM? Solution: 332 Q-: How many minutes are there between 10:47 PM and 8:06 AM? Solution: 559 Q-: How many minutes are there between 9:42 PM and 12:01 AM? Solution: 139 Q-: What is 373 minutes after 10:53 PM? Solution: 5:06 AM Q-: What is 572 minutes after 4:20 AM? Solution: 1:52 PM Q-: What is 120 minutes before 8:57 PM? Solution: 6:57 PM Q-: What is 445 minutes before 8:28 AM? Solution: 1:03 AM Q-: What is 207 minutes after 2:13 AM? Solution: 5:40 AM Q-: How many minutes are there between 1:34 PM and 7:40 PM? Solution: 366 Q-: How many minutes are there between 12:04 PM and 12:18 PM? Solution: 14 Q-: How many minutes are there between 5:35 AM and 1:11 PM? Solution: 456 Q-: What is 680 minutes after 4:20 AM? Solution: 3:40 PM Q-: How many minutes are there between 11:18 PM and 11:45 PM? Solution: 27 Q-: How many minutes are there between 7:31 PM and 9:12 PM? Solution: 101 Q-: What is 315 minutes before 9:38 PM? Solution: 4:23 PM Q-: How many minutes are there between 5:40 PM and 5:08 AM? Solution: 688 Q-: How many minutes are there between 2:50 AM and 2:30 PM? Solution: 700 Q-: What is 664 minutes before 9:45 PM? Solution: 10:41 AM Q-: How many minutes are there between 10:53 AM and 11:43 AM? Solution: 50 Q-: What is 159 minutes before 2:52 PM? Solution: 12:13 PM Q-: How many minutes are there between 3:48 AM and 4:15 AM? Solution: 27 Q-: What is 596 minutes after 11:14 AM? Solution: 9:10 PM Q-: What is 170 minutes after 8:25
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numbers: place value -------------------- Input: What is the tens digit of 28075616? Answer: 1 Input: What is the thousands digit of 45367503? Answer: 7 Input: What is the thousands digit of 18374? Answer: 8 Input: What is the hundred thousands digit of 14114956? Answer: 1 Input: What is the tens digit of 36581616? Answer: 1 Input: What is the hundreds digit of 270? Answer: 2 Input: What is the millions digit of 7107789? Answer: 7 Input: What is the hundred millions digit of 240177529? Answer: 2 Input: What is the thousands digit of 263686? Answer: 3 Input: What is the units digit of 449914214? Answer: 4 Input: What is the thousands digit of 248982856? Answer: 2 Input: What is the thousands digit of 37434? Answer: 7 Input: What is the tens digit of 9242996? Answer: 9 Input: What is the units digit of 2059? Answer: 9 Input: What is the thousands digit of 2423408? Answer: 3 Input: What is the tens digit of 1314? Answer: 1 Input: What is the hundred thousands digit of 8988635? Answer: 9 Input: What is the ten thousands digit of 7550669503? Answer: 6 Input: What is the tens digit of 75340? Answer: 4 Input: What is the ten thousands digit of 29944638? Answer: 4 Input: What is the thousands digit of 142495? Answer: 2 Input: What is the millions digit of 1808681? Answer: 1 Input: What is the units digit of 3222? Answer: 2 Input: What is the ten thousands digit of 181299210? Answer: 9 Input: What is the tens digit of 22345190? Answer: 9 Input: What is the ten millions digit of 66839448? Answer: 6 Input: What is the ten thousands digit of 384332123? Answer: 3 Input: What is the millions digit of 156942232? Answer: 6 Input: What is the hundreds digit of 793? Answer: 7 Input: What is the tens digit of 80064? Answer: 6 Input: What is the ten thousands digit of 85383? Answer: 8 Input: What is the units digit of 2763174296? Answer: 6 Input: What is the units digit of 228? Answer: 8 Input: What is the hundreds digit of 6725? Answer: 7 Input: What is the thousands digit of 14357155
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probability: swr p sequence --------------------------- Ask: Three letters picked without replacement from {q: 2, g: 1}. What is prob of sequence gqq? Compute: 1/3 Ask: Calculate prob of sequence kkk when three letters picked without replacement from kckkcckkck. Compute: 1/6 Ask: Two letters picked without replacement from {l: 5, g: 1, p: 1, z: 1, m: 1}. Give prob of sequence mp. Compute: 1/72 Ask: Four letters picked without replacement from rrrrsrss. What is prob of sequence rrsr? Compute: 3/28 Ask: Two letters picked without replacement from {f: 2, p: 3, i: 5}. What is prob of sequence if? Compute: 1/9 Ask: What is prob of sequence iq when two letters picked without replacement from ifannittqifiqqnt? Compute: 1/20 Ask: Calculate prob of sequence ccxz when four letters picked without replacement from {x: 6, z: 1, c: 3, a: 2}. Compute: 1/330 Ask: Calculate prob of sequence wwk when three letters picked without replacement from kwkwkkkkkkkkwkkkkkkk. Compute: 17/1140 Ask: What is prob of sequence tcc when three letters picked without replacement from {i: 3, q: 1, c: 2, s: 3, t: 1, j: 2}? Compute: 1/660 Ask: Two letters picked without replacement from xxhhhxxhxxkkxkhkh. What is prob of sequence xx? Compute: 21/136 Ask: Three letters picked without replacement from eeeeemewwxm. What is prob of sequence mmw? Compute: 2/495 Ask: What is prob of sequence tttt when four letters picked without replacement from xxxxxxtxxtxxxxvtttt? Compute: 5/1292 Ask: Two letters picked without replacement from {j: 7, b: 1, r: 4, w: 4, p: 2}. Give prob of sequence pb. Compute: 1/153 Ask: Calculate prob of sequence ofl when three letters picked without replacement from ooogsooflooggslosog. Compute: 1/323 Ask: Two letters picked without replacement from xxojxxoxxxxxoxxxx. What is prob of sequence ox? Compute: 39/272 Ask: Three letters picked without replacement from wao. Give prob of sequence wwa. Compute: 0 Ask: What is prob of sequence uvg when three letters picked without replacement from
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numbers: div remainder ---------------------- Situation: What is the remainder when 71996 is divided by 160? Compute: 156 Situation: Calculate the remainder when 612133 is divided by 3045. Compute: 88 Situation: Calculate the remainder when 147737 is divided by 29541. Compute: 32 Situation: Calculate the remainder when 2938 is divided by 1064. Compute: 810 Situation: Calculate the remainder when 122 is divided by 10. Compute: 2 Situation: What is the remainder when 2112 is divided by 308? Compute: 264 Situation: Calculate the remainder when 8928 is divided by 736. Compute: 96 Situation: Calculate the remainder when 4774462 is divided by 523. Compute: 518 Situation: Calculate the remainder when 9420053 is divided by 176. Compute: 5 Situation: What is the remainder when 32417 is divided by 16? Compute: 1 Situation: What is the remainder when 613 is divided by 28? Compute: 25 Situation: What is the remainder when 52658 is divided by 232? Compute: 226 Situation: Calculate the remainder when 710 is divided by 36. Compute: 26 Situation: What is the remainder when 475 is divided by 45? Compute: 25 Situation: Calculate the remainder when 661 is divided by 196. Compute: 73 Situation: What is the remainder when 232998 is divided by 78? Compute: 12 Situation: Calculate the remainder when 63 is divided by 45. Compute: 18 Situation: What is the remainder when 1139451 is divided by 1044? Compute: 447 Situation: What is the remainder when 17632 is divided by 531? Compute: 109 Situation: What is the remainder when 375 is divided by 38? Compute: 33 Situation: Calculate the remainder when 5562 is divided by 218. Compute: 112 Situation: Calculate the remainder when 19088 is divided by 2385. Compute: 8 Situation: Calculate the remainder when 10429782 is divided by 13. Compute: 12 Situation: Calculate the remainder when 44 is divided by 5. Compute: 4 Situation: What is the remainder when 334589919 is divided by 1202? Compute: 1199 Situation: What is the remainder when 17793 is divided b
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numbers: div remainder ---------------------- Task: Calculate the remainder when 59 is divided by 38. Finding: 21 Task: Calculate the remainder when 3259 is divided by 81. Finding: 19 Task: Calculate the remainder when 318944 is divided by 159151. Finding: 642 Task: Calculate the remainder when 126 is divided by 44. Finding: 38 Task: What is the remainder when 98220 is divided by 630? Finding: 570 Task: Calculate the remainder when 10135 is divided by 5056. Finding: 23 Task: Calculate the remainder when 2293895 is divided by 8465. Finding: 8345 Task: What is the remainder when 103 is divided by 54? Finding: 49 Task: Calculate the remainder when 43 is divided by 18. Finding: 7 Task: What is the remainder when 108862 is divided by 21024? Finding: 3742 Task: What is the remainder when 9763 is divided by 132? Finding: 127 Task: What is the remainder when 2788287 is divided by 10404? Finding: 15 Task: What is the remainder when 1259 is divided by 15? Finding: 14 Task: What is the remainder when 1222 is divided by 578? Finding: 66 Task: What is the remainder when 46 is divided by 22? Finding: 2 Task: Calculate the remainder when 18256 is divided by 89. Finding: 11 Task: Calculate the remainder when 130522 is divided by 170. Finding: 132 Task: What is the remainder when 678868 is divided by 5657? Finding: 28 Task: Calculate the remainder when 664 is divided by 18. Finding: 16 Task: Calculate the remainder when 8409 is divided by 2790. Finding: 39 Task: Calculate the remainder when 55737 is divided by 154. Finding: 143 Task: What is the remainder when 19562905 is divided by 5930? Finding: 5765 Task: What is the remainder when 349 is divided by 90? Finding: 79 Task: Calculate the remainder when 191 is divided by 46. Finding: 7 Task: What is the remainder when 400 is divided by 11? Finding: 4 Task: What is the remainder when 1363 is divided by 117? Finding: 76 Task: Calculate the remainder when 1051 is divided by 105. Finding: 1 Task: Calculate the remainder when 4427 is divi
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numbers: div remainder ---------------------- Input: What is the remainder when 2427036 is divided by 346651? Final Answer: 479 Input: What is the remainder when 650 is divided by 14? Final Answer: 6 Input: What is the remainder when 275 is divided by 57? Final Answer: 47 Input: What is the remainder when 256 is divided by 60? Final Answer: 16 Input: What is the remainder when 6095 is divided by 12? Final Answer: 11 Input: Calculate the remainder when 189376 is divided by 27030. Final Answer: 166 Input: What is the remainder when 16072818 is divided by 2009102? Final Answer: 2 Input: What is the remainder when 43545 is divided by 351? Final Answer: 21 Input: Calculate the remainder when 96 is divided by 5. Final Answer: 1 Input: Calculate the remainder when 3587 is divided by 520. Final Answer: 467 Input: What is the remainder when 78077605 is divided by 460? Final Answer: 425 Input: Calculate the remainder when 64311 is divided by 128. Final Answer: 55 Input: Calculate the remainder when 111900 is divided by 269. Final Answer: 265 Input: What is the remainder when 522 is divided by 212? Final Answer: 98 Input: Calculate the remainder when 145694 is divided by 3037. Final Answer: 2955 Input: Calculate the remainder when 16710 is divided by 404. Final Answer: 146 Input: What is the remainder when 5271 is divided by 1278? Final Answer: 159 Input: What is the remainder when 82 is divided by 14? Final Answer: 12 Input: What is the remainder when 2472 is divided by 494? Final Answer: 2 Input: What is the remainder when 1203 is divided by 93? Final Answer: 87 Input: Calculate the remainder when 1615178399 is divided by 300. Final Answer: 299 Input: What is the remainder when 605535 is divided by 201825? Final Answer: 60 Input: Calculate the remainder when 78551 is divided by 184. Final Answer: 167 Input: What is the remainder when 16890 is divided by 16356? Final Answer: 534 Input: What is the remainder when 718 is divided by 338? Final Answer: 42 Input: Calculate the rem
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arithmetic: nearest integer root -------------------------------- Q.: What is 397660 to the power of 1/9, to the nearest integer? Calculation: 4 Q.: What is the cube root of 29987621 to the nearest integer? Calculation: 311 Q.: What is the eighth root of 1024129 to the nearest integer? Calculation: 6 Q.: What is 360915830 to the power of 1/6, to the nearest integer? Calculation: 27 Q.: What is 123922663 to the power of 1/7, to the nearest integer? Calculation: 14 Q.: What is the square root of 1564 to the nearest integer? Calculation: 40 Q.: What is the third root of 7611 to the nearest integer? Calculation: 20 Q.: What is 793547160 to the power of 1/3, to the nearest integer? Calculation: 926 Q.: What is 391 to the power of 1/8, to the nearest integer? Calculation: 2 Q.: What is 6456 to the power of 1/4, to the nearest integer? Calculation: 9 Q.: What is 128674 to the power of 1/8, to the nearest integer? Calculation: 4 Q.: What is the eighth root of 71029 to the nearest integer? Calculation: 4 Q.: What is 335838 to the power of 1/6, to the nearest integer? Calculation: 8 Q.: What is the square root of 3105658512 to the nearest integer? Calculation: 55728 Q.: What is the square root of 344583 to the nearest integer? Calculation: 587 Q.: What is 1238 to the power of 1/3, to the nearest integer? Calculation: 11 Q.: What is 98469 to the power of 1/2, to the nearest integer? Calculation: 314 Q.: What is 20085136 to the power of 1/2, to the nearest integer? Calculation: 4482 Q.: What is 10870083 to the power of 1/3, to the nearest integer? Calculation: 222 Q.: What is the square root of 110681 to the nearest integer? Calculation: 333 Q.: What is 1944878 to the power of 1/2, to the nearest integer? Calculation: 1395 Q.: What is the cube root of 2018 to the nearest integer? Calculation: 13 Q.: What is 6385 to the power of 1/3, to the nearest integer? Calculation: 19 Q.: What is the fifth root of 1951 to the nearest integer? Calculation: 5 Q.: What is the cube root of 5789
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numbers: place value -------------------- Puzzle: What is the units digit of 47455? A.: 5 Puzzle: What is the hundred thousands digit of 2420683332? A.: 6 Puzzle: What is the thousands digit of 69939? A.: 9 Puzzle: What is the tens digit of 11789610? A.: 1 Puzzle: What is the ten millions digit of 496121371? A.: 9 Puzzle: What is the ten thousands digit of 81389270? A.: 8 Puzzle: What is the hundreds digit of 4695250? A.: 2 Puzzle: What is the hundred thousands digit of 947543009? A.: 5 Puzzle: What is the millions digit of 21172021? A.: 1 Puzzle: What is the ten thousands digit of 146168589? A.: 6 Puzzle: What is the thousands digit of 277293? A.: 7 Puzzle: What is the units digit of 52520? A.: 0 Puzzle: What is the tens digit of 42910006? A.: 0 Puzzle: What is the tens digit of 16798520? A.: 2 Puzzle: What is the thousands digit of 914935110? A.: 5 Puzzle: What is the thousands digit of 119738? A.: 9 Puzzle: What is the units digit of 137550? A.: 0 Puzzle: What is the thousands digit of 64004? A.: 4 Puzzle: What is the thousands digit of 5232? A.: 5 Puzzle: What is the hundreds digit of 3598? A.: 5 Puzzle: What is the units digit of 652603? A.: 3 Puzzle: What is the hundreds digit of 705? A.: 7 Puzzle: What is the hundred thousands digit of 462472? A.: 4 Puzzle: What is the thousands digit of 715929? A.: 5 Puzzle: What is the ten thousands digit of 3164928? A.: 6 Puzzle: What is the ten thousands digit of 553480791? A.: 8 Puzzle: What is the units digit of 19710877? A.: 7 Puzzle: What is the tens digit of 412601034? A.: 3 Puzzle: What is the thousands digit of 2502? A.: 2 Puzzle: What is the thousands digit of 4472? A.: 4 Puzzle: What is the ten millions digit of 267559007? A.: 6 Puzzle: What is the tens digit of 2092? A.: 9 Puzzle: What is the hundreds digit of 17041? A.: 0 Puzzle: What is the tens digit of 1174? A.: 7 Puzzle: What is the units digit of 103? A.: 3 Puzzle: What is the hundred millions digit of 1334079536? A.: 3 Puzzle: What is the hundred millions
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numbers: is prime ----------------- Ask: Is 90772823 a prime number? Calculation: False Ask: Is 86011617 a prime number? Calculation: False Ask: Is 7290619 composite? Calculation: True Ask: Is 5455229839 a composite number? Calculation: False Ask: Is 59238505 a prime number? Calculation: False Ask: Is 408841 prime? Calculation: True Ask: Is 861462323 a prime number? Calculation: False Ask: Is 1308457 a prime number? Calculation: True Ask: Is 647303303 composite? Calculation: False Ask: Is 186793 a prime number? Calculation: True Ask: Is 589532767 a composite number? Calculation: True Ask: Is 8608277707 a prime number? Calculation: False Ask: Is 577081 composite? Calculation: False Ask: Is 13546927 a composite number? Calculation: True Ask: Is 435055 a composite number? Calculation: True Ask: Is 12753407 composite? Calculation: False Ask: Is 21318428801 prime? Calculation: True Ask: Is 908693119 composite? Calculation: False Ask: Is 6729071 a composite number? Calculation: True Ask: Is 40201 a composite number? Calculation: True Ask: Is 752159 prime? Calculation: False Ask: Is 103415875439 prime? Calculation: False Ask: Is 14294779 a prime number? Calculation: False Ask: Is 10122143 a prime number? Calculation: True Ask: Is 12130160573 prime? Calculation: True Ask: Is 1979869 composite? Calculation: True Ask: Is 1901 composite? Calculation: False Ask: Is 192618229 a composite number? Calculation: False Ask: Is 235043 a prime number? Calculation: True Ask: Is 63982 a prime number? Calculation: False Ask: Is 973 composite? Calculation: True Ask: Is 3551 prime? Calculation: False Ask: Is 312832519 composite? Calculation: False Ask: Is 31581639767 composite? Calculation: False Ask: Is 39225009469 a composite number? Calculation: False Ask: Is 26347843 a prime number? Calculation: False Ask: Is 726221 composite? Calculation: False Ask: Is 14480256613 composite? Calculation: False Ask: Is 197147 a prime number? Calculation: True Ask: Is 2642173 prime? Calculation: True Ask
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measurement: time ----------------- Example: How many minutes are there between 1:40 PM and 10:04 PM? Key: 504 Example: What is 176 minutes before 5:13 AM? Key: 2:17 AM Example: How many minutes are there between 5:52 AM and 7:20 AM? Key: 88 Example: What is 639 minutes after 7:29 AM? Key: 6:08 PM Example: How many minutes are there between 2:34 AM and 1:34 PM? Key: 660 Example: How many minutes are there between 8:41 AM and 9:22 AM? Key: 41 Example: How many minutes are there between 11:43 PM and 11:23 AM? Key: 700 Example: What is 677 minutes after 5:08 AM? Key: 4:25 PM Example: What is 153 minutes after 4:54 AM? Key: 7:27 AM Example: What is 439 minutes before 11:42 PM? Key: 4:23 PM Example: What is 135 minutes before 2:38 AM? Key: 12:23 AM Example: How many minutes are there between 10:16 AM and 12:45 PM? Key: 149 Example: What is 159 minutes before 1:06 PM? Key: 10:27 AM Example: What is 372 minutes after 11:00 AM? Key: 5:12 PM Example: How many minutes are there between 5:03 PM and 12:03 AM? Key: 420 Example: How many minutes are there between 12:23 AM and 9:07 AM? Key: 524 Example: What is 315 minutes after 9:11 AM? Key: 2:26 PM Example: What is 525 minutes before 1:32 PM? Key: 4:47 AM Example: How many minutes are there between 9:24 PM and 8:56 AM? Key: 692 Example: How many minutes are there between 7:29 PM and 9:41 PM? Key: 132 Example: What is 36 minutes before 8:28 AM? Key: 7:52 AM Example: What is 482 minutes after 3:06 PM? Key: 11:08 PM Example: What is 19 minutes after 12:43 AM? Key: 1:02 AM Example: How many minutes are there between 2:17 AM and 12:42 PM? Key: 625 Example: What is 77 minutes before 9:11 AM? Key: 7:54 AM Example: How many minutes are there between 10:43 PM and 10:03 AM? Key: 680 Example: How many minutes are there between 4:49 AM and 11:23 AM? Key: 394 Example: What is 283 minutes after 9:35 AM? Key: 2:18 PM Example: How many minutes are there between 6:18 AM and 10:33 AM? Key: 255 Example: How many minutes are there between 9:28 PM a
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numbers: place value -------------------- Request: What is the tens digit of 600? Eval: 0 Request: What is the ten thousands digit of 29868? Eval: 2 Request: What is the tens digit of 6719? Eval: 1 Request: What is the units digit of 14466138? Eval: 8 Request: What is the units digit of 8514? Eval: 4 Request: What is the units digit of 4116? Eval: 6 Request: What is the units digit of 87542497? Eval: 7 Request: What is the hundreds digit of 87475? Eval: 4 Request: What is the hundred thousands digit of 489503? Eval: 4 Request: What is the thousands digit of 415281? Eval: 5 Request: What is the tens digit of 2057? Eval: 5 Request: What is the units digit of 1454245? Eval: 5 Request: What is the ten thousands digit of 32328939? Eval: 2 Request: What is the ten thousands digit of 164367837? Eval: 6 Request: What is the hundreds digit of 196408166? Eval: 1 Request: What is the tens digit of 3884629? Eval: 2 Request: What is the hundreds digit of 1064664? Eval: 6 Request: What is the hundred thousands digit of 504729? Eval: 5 Request: What is the tens digit of 7022660? Eval: 6 Request: What is the hundreds digit of 12579920? Eval: 9 Request: What is the tens digit of 1305? Eval: 0 Request: What is the thousands digit of 143473? Eval: 3 Request: What is the millions digit of 2072243? Eval: 2 Request: What is the ten millions digit of 91594088? Eval: 9 Request: What is the hundreds digit of 10902? Eval: 9 Request: What is the thousands digit of 5834? Eval: 5 Request: What is the millions digit of 3987023? Eval: 3 Request: What is the ten thousands digit of 16687243? Eval: 8 Request: What is the thousands digit of 4495? Eval: 4 Request: What is the tens digit of 12895? Eval: 9 Request: What is the hundreds digit of 257? Eval: 2 Request: What is the hundred millions digit of 3378113744? Eval: 3 Request: What is the hundred thousands digit of 566336? Eval: 5 Request: What is the hundreds digit of 1211591975? Eval: 9 Request: What is the hundred thousands digit of 611911598? E
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numbers: gcd ------------ Q): Calculate the greatest common factor of 120 and 52040. Answer: 40 Q): Calculate the highest common factor of 390 and 154661. Answer: 13 Q): Calculate the greatest common divisor of 6698765 and 8585. Answer: 85 Q): Calculate the greatest common factor of 588 and 2751. Answer: 21 Q): Calculate the greatest common divisor of 218 and 202631. Answer: 109 Q): What is the greatest common factor of 108 and 8? Answer: 4 Q): Calculate the greatest common divisor of 79056 and 35856. Answer: 432 Q): What is the highest common divisor of 12943 and 2107? Answer: 301 Q): Calculate the greatest common factor of 29 and 928. Answer: 29 Q): What is the highest common factor of 928593063 and 313? Answer: 313 Q): Calculate the greatest common divisor of 2176 and 640. Answer: 128 Q): Calculate the highest common divisor of 579 and 16405. Answer: 193 Q): What is the greatest common divisor of 2 and 64? Answer: 2 Q): What is the greatest common factor of 112 and 280? Answer: 56 Q): What is the greatest common divisor of 3674 and 1169? Answer: 167 Q): Calculate the highest common factor of 278226 and 435. Answer: 87 Q): Calculate the highest common factor of 77537 and 14161. Answer: 17 Q): Calculate the highest common divisor of 895531 and 2028. Answer: 169 Q): What is the greatest common divisor of 1832 and 3010892? Answer: 916 Q): Calculate the highest common factor of 5717206 and 7373. Answer: 101 Q): What is the greatest common factor of 234 and 130? Answer: 26 Q): What is the highest common factor of 225 and 125? Answer: 25 Q): Calculate the highest common factor of 20123004 and 3. Answer: 3 Q): What is the highest common factor of 912 and 57? Answer: 57 Q): What is the greatest common divisor of 205 and 122137975? Answer: 205 Q): What is the highest common factor of 696 and 1363? Answer: 29 Q): Calculate the highest common factor of 140790 and 48087. Answer: 39 Q): Calculate the greatest common divisor of 8339 and 247480. Answer: 269 Q): What is the highe
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measurement: conversion ----------------------- Q/A: How many milligrams are there in 45614.63ng? Final Answer: 0.04561463 Q/A: What is 3606.315m in micrometers? Final Answer: 3606315000 Q/A: How many decades are there in 72.19665 millennia? Final Answer: 7219.665 Q/A: How many decades are there in 15/4 of a millennium? Final Answer: 375 Q/A: What is 6/25 of a millimeter in micrometers? Final Answer: 240 Q/A: What is seven quarters of a meter in centimeters? Final Answer: 175 Q/A: What is 0.4550349l in millilitres? Final Answer: 455.0349 Q/A: What is 81152.39 weeks in nanoseconds? Final Answer: 49080965472000000000 Q/A: What is three fifths of a micrometer in nanometers? Final Answer: 600 Q/A: What is 51040.88 milligrams in nanograms? Final Answer: 51040880000 Q/A: How many litres are there in 2249.705ml? Final Answer: 2.249705 Q/A: How many kilograms are there in twenty-five halves of a tonne? Final Answer: 12500 Q/A: What is seven eighths of a hour in seconds? Final Answer: 3150 Q/A: Convert 0.0404216 milligrams to nanograms. Final Answer: 40421.6 Q/A: How many centimeters are there in 44.68667m? Final Answer: 4468.667 Q/A: How many micrograms are there in one tenth of a milligram? Final Answer: 100 Q/A: How many milliseconds are there in 325318.2 hours? Final Answer: 1171145520000 Q/A: What is 54.93318 meters in nanometers? Final Answer: 54933180000 Q/A: Convert 0.190065 kilometers to meters. Final Answer: 190.065 Q/A: How many litres are there in 6479.195ml? Final Answer: 6.479195 Q/A: How many decades are there in 2.3925105 months? Final Answer: 0.0199375875 Q/A: What is 3/50 of a litre in millilitres? Final Answer: 60 Q/A: Convert 41780.67 litres to millilitres. Final Answer: 41780670 Q/A: How many minutes are there in 46/5 of a week? Final Answer: 92736 Q/A: How many years are there in 11/2 of a millennium? Final Answer: 5500 Q/A: What is 983.6344 days in nanoseconds? Final Answer: 84986012160000000 Q/A: How many kilograms are there in 0.7088729 tonnes? Final
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measurement: conversion ----------------------- Conundrum: How many millilitres are there in seven eighths of a litre? Output: 875 Conundrum: What is 7/4 of a litre in millilitres? Output: 1750 Conundrum: What is one tenth of a gram in milligrams? Output: 100 Conundrum: How many months are there in three tenths of a century? Output: 360 Conundrum: How many grams are there in one tenth of a kilogram? Output: 100 Conundrum: How many micrograms are there in one sixteenth of a gram? Output: 62500 Conundrum: How many hours are there in 9/14 of a week? Output: 108 Conundrum: Convert 4451.979 micrograms to kilograms. Output: 0.000004451979 Conundrum: How many years are there in one fifth of a decade? Output: 2 Conundrum: What is one tenth of a centimeter in millimeters? Output: 1 Conundrum: How many millilitres are there in three fifths of a litre? Output: 600 Conundrum: How many millennia are there in 480.0864 centuries? Output: 48.00864 Conundrum: How many milliseconds are there in 2868.894 days? Output: 247872441600 Conundrum: What is three fifths of a century in decades? Output: 6 Conundrum: What is 29.69771 decades in centuries? Output: 2.969771 Conundrum: What is 688.1333mm in kilometers? Output: 0.0006881333 Conundrum: Convert 257.5891cm to micrometers. Output: 2575891 Conundrum: How many nanoseconds are there in 3/8 of a microsecond? Output: 375 Conundrum: What is 115.96581 months in millennia? Output: 0.0096638175 Conundrum: Convert 3867.301 litres to millilitres. Output: 3867301 Conundrum: What is 932704.1 nanometers in micrometers? Output: 932.7041 Conundrum: How many centimeters are there in 54784.1 micrometers? Output: 5.47841 Conundrum: How many tonnes are there in 3152.845mg? Output: 0.000003152845 Conundrum: How many grams are there in seventeen quarters of a kilogram? Output: 4250 Conundrum: How many micrograms are there in 5/4 of a milligram? Output: 1250 Conundrum: Convert 75.35728 kilograms to grams. Output: 75357.28 Conundrum: How many litres are there
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numbers: place value -------------------- Challenge: What is the hundred thousands digit of 905169802? Therefore: 1 Challenge: What is the millions digit of 68042593? Therefore: 8 Challenge: What is the hundreds digit of 103495? Therefore: 4 Challenge: What is the tens digit of 476310573? Therefore: 7 Challenge: What is the units digit of 105610109? Therefore: 9 Challenge: What is the hundreds digit of 40284766? Therefore: 7 Challenge: What is the tens digit of 166690159? Therefore: 5 Challenge: What is the hundreds digit of 145095? Therefore: 0 Challenge: What is the ten thousands digit of 8290496? Therefore: 9 Challenge: What is the millions digit of 28091835? Therefore: 8 Challenge: What is the thousands digit of 4018? Therefore: 4 Challenge: What is the tens digit of 1829405? Therefore: 0 Challenge: What is the units digit of 4252312? Therefore: 2 Challenge: What is the ten thousands digit of 668251? Therefore: 6 Challenge: What is the tens digit of 37002515? Therefore: 1 Challenge: What is the hundred thousands digit of 1834493092? Therefore: 4 Challenge: What is the hundreds digit of 2260564783? Therefore: 7 Challenge: What is the millions digit of 98281458? Therefore: 8 Challenge: What is the hundreds digit of 1858? Therefore: 8 Challenge: What is the ten thousands digit of 21873? Therefore: 2 Challenge: What is the hundreds digit of 436? Therefore: 4 Challenge: What is the thousands digit of 4483? Therefore: 4 Challenge: What is the ten thousands digit of 109310? Therefore: 0 Challenge: What is the millions digit of 80741178? Therefore: 0 Challenge: What is the thousands digit of 8462095? Therefore: 2 Challenge: What is the units digit of 2089861? Therefore: 1 Challenge: What is the ten thousands digit of 290733? Therefore: 9 Challenge: What is the hundred millions digit of 349702683? Therefore: 3 Challenge: What is the hundreds digit of 5207? Therefore: 2 Challenge: What is the units digit of 8779? Therefore: 9 Challenge: What is the ten thousands digit of
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numbers: place value -------------------- Problem: What is the ten thousands digit of 58012? Sol: 5 Problem: What is the tens digit of 833384? Sol: 8 Problem: What is the hundreds digit of 990? Sol: 9 Problem: What is the tens digit of 6694613? Sol: 1 Problem: What is the tens digit of 35907? Sol: 0 Problem: What is the ten thousands digit of 23485906? Sol: 8 Problem: What is the hundred thousands digit of 23656976? Sol: 6 Problem: What is the tens digit of 7908672? Sol: 7 Problem: What is the hundreds digit of 1294? Sol: 2 Problem: What is the thousands digit of 2751918? Sol: 1 Problem: What is the hundreds digit of 836944? Sol: 9 Problem: What is the tens digit of 2233548? Sol: 4 Problem: What is the ten thousands digit of 6405524? Sol: 0 Problem: What is the ten thousands digit of 19413945? Sol: 1 Problem: What is the units digit of 79343177? Sol: 7 Problem: What is the hundred thousands digit of 2736429? Sol: 7 Problem: What is the hundred thousands digit of 608838? Sol: 6 Problem: What is the thousands digit of 3991828? Sol: 1 Problem: What is the hundred thousands digit of 735419? Sol: 7 Problem: What is the tens digit of 1616722? Sol: 2 Problem: What is the ten thousands digit of 66172484? Sol: 7 Problem: What is the ten thousands digit of 206487? Sol: 0 Problem: What is the tens digit of 16866? Sol: 6 Problem: What is the ten thousands digit of 231834? Sol: 3 Problem: What is the tens digit of 2081420422? Sol: 2 Problem: What is the billions digit of 1602184165? Sol: 1 Problem: What is the ten thousands digit of 614471808? Sol: 7 Problem: What is the hundred millions digit of 3459824189? Sol: 4 Problem: What is the tens digit of 48224? Sol: 2 Problem: What is the tens digit of 128876462? Sol: 6 Problem: What is the tens digit of 73497369? Sol: 6 Problem: What is the thousands digit of 6974? Sol: 6 Problem: What is the thousands digit of 366324609? Sol: 4 Problem: What is the hundreds digit of 1233? Sol: 2 Problem: What is the units digit of 1253? Sol: 3 Prob
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numbers: is prime ----------------- Exercise: Is 3743 a prime number? Thus: False Exercise: Is 2167703 composite? Thus: False Exercise: Is 91763 a composite number? Thus: True Exercise: Is 23402602 composite? Thus: True Exercise: Is 1610083939 a composite number? Thus: False Exercise: Is 13499579 composite? Thus: True Exercise: Is 12264761 a composite number? Thus: True Exercise: Is 1248448739 a prime number? Thus: True Exercise: Is 3967103113 a composite number? Thus: False Exercise: Is 2030009 prime? Thus: True Exercise: Is 434381 a prime number? Thus: False Exercise: Is 73626833957 prime? Thus: False Exercise: Is 135009367 a composite number? Thus: False Exercise: Is 74643055607 a composite number? Thus: True Exercise: Is 367399 a composite number? Thus: True Exercise: Is 20555369 composite? Thus: False Exercise: Is 14681719123 a prime number? Thus: False Exercise: Is 627191 a composite number? Thus: False Exercise: Is 2632123 a prime number? Thus: False Exercise: Is 3746707 a composite number? Thus: True Exercise: Is 920357 prime? Thus: True Exercise: Is 529 prime? Thus: False Exercise: Is 90343441 prime? Thus: True Exercise: Is 8051 a prime number? Thus: False Exercise: Is 6043 a composite number? Thus: False Exercise: Is 4509779 composite? Thus: False Exercise: Is 4999 composite? Thus: False Exercise: Is 52817365 a prime number? Thus: False Exercise: Is 5296243967 prime? Thus: False Exercise: Is 12788419 a composite number? Thus: True Exercise: Is 114257167 a prime number? Thus: True Exercise: Is 48945924649 prime? Thus: False Exercise: Is 772843 prime? Thus: True Exercise: Is 10921 a prime number? Thus: False Exercise: Is 461200343 a composite number? Thus: False Exercise: Is 255062309 composite? Thus: False Exercise: Is 561521 composite? Thus: False Exercise: Is 31763 a composite number? Thus: True Exercise: Is 17291 composite? Thus: False Exercise: Is 19613 a composite number? Thus: True Exercise: Is 4607483 prime? Thus: True Exercise: Is 16253 a composite
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numbers: gcd ------------ Q=: Calculate the greatest common divisor of 69 and 21. Calculation: 3 Q=: What is the greatest common factor of 96 and 32928? Calculation: 96 Q=: What is the highest common factor of 120 and 160? Calculation: 40 Q=: Calculate the highest common divisor of 9 and 4943. Calculation: 1 Q=: Calculate the greatest common factor of 343892 and 13112. Calculation: 596 Q=: What is the highest common factor of 18 and 29547? Calculation: 9 Q=: Calculate the highest common divisor of 172 and 2322. Calculation: 86 Q=: What is the highest common divisor of 1068 and 208527? Calculation: 267 Q=: Calculate the highest common factor of 488 and 564860. Calculation: 244 Q=: Calculate the highest common divisor of 4666350456 and 18. Calculation: 18 Q=: What is the greatest common factor of 3050749 and 2197? Calculation: 13 Q=: What is the highest common factor of 86211 and 12257? Calculation: 103 Q=: What is the greatest common factor of 2128 and 41648? Calculation: 304 Q=: What is the greatest common factor of 18 and 186? Calculation: 6 Q=: Calculate the highest common divisor of 14157958 and 10. Calculation: 2 Q=: What is the greatest common divisor of 836 and 8? Calculation: 4 Q=: What is the highest common factor of 7898 and 396? Calculation: 22 Q=: Calculate the highest common factor of 192 and 4944. Calculation: 48 Q=: Calculate the greatest common divisor of 1537 and 53. Calculation: 53 Q=: What is the highest common factor of 2701 and 2524997? Calculation: 73 Q=: Calculate the greatest common factor of 154 and 252582. Calculation: 22 Q=: What is the highest common factor of 11 and 1111? Calculation: 11 Q=: What is the highest common factor of 139750 and 4160? Calculation: 130 Q=: What is the highest common divisor of 209 and 22? Calculation: 11 Q=: Calculate the highest common divisor of 138 and 9062. Calculation: 46 Q=: Calculate the greatest common factor of 14823 and 3. Calculation: 3 Q=: What is the highest common divisor of 190742 and 2830? Calcula
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