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numbers: place value -------------------- Given: What is the tens digit of 28054974? Gives: 7 Given: What is the tens digit of 327944? Gives: 4 Given: What is the units digit of 3408231925? Gives: 5 Given: What is the thousands digit of 2051049722? Gives: 9 Given: What is the ten millions digit of 272349706? Gives: 7 Given: What is the tens digit of 9291? Gives: 9 Given: What is the tens digit of 17771? Gives: 7 Given: What is the hundreds digit of 1726? Gives: 7 Given: What is the hundreds digit of 6663199? Gives: 1 Given: What is the hundred thousands digit of 5262644787? Gives: 6 Given: What is the hundred thousands digit of 102711? Gives: 1 Given: What is the tens digit of 12941? Gives: 4 Given: What is the ten thousands digit of 17871? Gives: 1 Given: What is the hundreds digit of 7365176? Gives: 1 Given: What is the units digit of 93? Gives: 3 Given: What is the units digit of 427306? Gives: 6 Given: What is the hundred thousands digit of 5153385057? Gives: 3 Given: What is the tens digit of 1179? Gives: 7 Given: What is the tens digit of 4232462? Gives: 6 Given: What is the tens digit of 139? Gives: 3 Given: What is the hundred millions digit of 727635990? Gives: 7 Given: What is the units digit of 41710126? Gives: 6 Given: What is the tens digit of 1309? Gives: 0 Given: What is the tens digit of 563360568? Gives: 6 Given: What is the hundred millions digit of 4240822063? Gives: 2 Given: What is the hundred thousands digit of 743772? Gives: 7 Given: What is the thousands digit of 85794? Gives: 5 Given: What is the units digit of 15130842? Gives: 2 Given: What is the ten thousands digit of 1867696637? Gives: 9 Given: What is the ten thousands digit of 36989956? Gives: 8 Given: What is the millions digit of 19136050? Gives: 9 Given: What is the ten thousands digit of 5057735? Gives: 5 Given: What is the hundred thousands digit of 111082507? Gives: 0 Given: What is the hundreds digit of 82242? Gives: 2 Given: What is the ten thousands digit of 223090? Gives: 2 G
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numbers: is factor ------------------ Problem Statement: Is 102994537 a multiple of 175? Compute: False Problem Statement: Does 42 divide 294? Compute: True Problem Statement: Is 21960 a multiple of 12? Compute: True Problem Statement: Is 159 a factor of 38067953? Compute: False Problem Statement: Does 2 divide 499360? Compute: True Problem Statement: Is 751227 a multiple of 19? Compute: False Problem Statement: Is 1300 a multiple of 13? Compute: True Problem Statement: Does 180 divide 11122523? Compute: False Problem Statement: Is 522846726 a multiple of 130? Compute: False Problem Statement: Does 778 divide 1327793592? Compute: False Problem Statement: Is 176 a factor of 251925112? Compute: False Problem Statement: Does 4 divide 178? Compute: False Problem Statement: Is 23 a factor of 41515? Compute: True Problem Statement: Does 58 divide 2113533? Compute: False Problem Statement: Does 5360 divide 681778119? Compute: False Problem Statement: Does 8 divide 568? Compute: True Problem Statement: Does 7 divide 3192? Compute: True Problem Statement: Does 543 divide 3791332971? Compute: True Problem Statement: Is 133 a factor of 927842? Compute: False Problem Statement: Is 28 a factor of 56516? Compute: False Problem Statement: Does 174 divide 37882261? Compute: False Problem Statement: Is 4 a factor of 204005? Compute: False Problem Statement: Is 1641 a factor of 59682724? Compute: False Problem Statement: Does 6 divide 114? Compute: True Problem Statement: Is 31 a factor of 15934? Compute: True Problem Statement: Is 115 a factor of 22059645? Compute: True Problem Statement: Is 3 a factor of 22274295? Compute: True Problem Statement: Does 1005 divide 349740? Compute: True Problem Statement: Is 4648 a multiple of 28? Compute: True Problem Statement: Is 56 a factor of 429? Compute: False Problem Statement: Does 380 divide 1005572? Compute: False Problem Statement: Is 8630804 a multiple of 262? Compute: True Problem Statement: Is 20 a factor of 366? Compute: False Problem
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probability: swr p level set ---------------------------- Step: Calculate prob of picking 2 n when two letters picked without replacement from naaznan. Clarification: 1/7 Step: Three letters picked without replacement from {p: 6, s: 2, j: 4, l: 1}. What is prob of picking 1 l, 1 j, and 1 s? Clarification: 4/143 Step: What is prob of picking 1 o, 2 f, and 1 v when four letters picked without replacement from vvvvoofvof? Clarification: 1/14 Step: Two letters picked without replacement from {l: 11, d: 1, z: 2, c: 1}. Give prob of picking 1 c and 1 d. Clarification: 1/105 Step: Two letters picked without replacement from bbkbbbbkbbb. What is prob of picking 2 b? Clarification: 36/55 Step: Three letters picked without replacement from {n: 2, o: 2, j: 1, y: 6, k: 1}. Give prob of picking 1 k and 2 n. Clarification: 1/220 Step: What is prob of picking 1 p and 1 z when two letters picked without replacement from {z: 3, u: 2, p: 1, v: 1}? Clarification: 1/7 Step: Three letters picked without replacement from {h: 4, m: 5, u: 5}. Give prob of picking 3 h. Clarification: 1/91 Step: Two letters picked without replacement from vvzmxx. What is prob of picking 2 x? Clarification: 1/15 Step: Three letters picked without replacement from aammqtllmwqtalwltawq. Give prob of picking 1 q, 1 m, and 1 w. Clarification: 9/380 Step: Four letters picked without replacement from eeeeqeeqqqqeqq. Give prob of picking 3 e and 1 q. Clarification: 35/143 Step: Three letters picked without replacement from {g: 2, h: 6, n: 3, l: 2}. Give prob of picking 1 g, 1 l, and 1 n. Clarification: 6/143 Step: Calculate prob of picking 1 t and 3 x when four letters picked without replacement from xuduxxuxxttx. Clarification: 8/99 Step: What is prob of picking 3 n and 1 o when four letters picked without replacement from oosnnnnnooonooqnnsoo? Clarification: 168/1615 Step: Calculate prob of picking 3 v when three letters picked without replacement from {m: 4, v: 6}. Clarification: 1/6 Step: Two letters picked with
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numbers: place value -------------------- What if: What is the tens digit of 101758? Resolution: 5 What if: What is the hundreds digit of 1839? Resolution: 8 What if: What is the hundreds digit of 19397? Resolution: 3 What if: What is the hundreds digit of 5179061547? Resolution: 5 What if: What is the ten thousands digit of 59536? Resolution: 5 What if: What is the units digit of 17092372? Resolution: 2 What if: What is the tens digit of 606856656? Resolution: 5 What if: What is the tens digit of 135090? Resolution: 9 What if: What is the thousands digit of 9718? Resolution: 9 What if: What is the hundreds digit of 3060? Resolution: 0 What if: What is the units digit of 495? Resolution: 5 What if: What is the hundred thousands digit of 7002656? Resolution: 0 What if: What is the hundred thousands digit of 377498? Resolution: 3 What if: What is the hundreds digit of 1585? Resolution: 5 What if: What is the hundreds digit of 8979624? Resolution: 6 What if: What is the tens digit of 588566010? Resolution: 1 What if: What is the ten thousands digit of 3569971? Resolution: 6 What if: What is the tens digit of 1762? Resolution: 6 What if: What is the millions digit of 29077936? Resolution: 9 What if: What is the thousands digit of 61950? Resolution: 1 What if: What is the thousands digit of 665035? Resolution: 5 What if: What is the units digit of 570083? Resolution: 3 What if: What is the hundreds digit of 17965008? Resolution: 0 What if: What is the hundreds digit of 37106841? Resolution: 8 What if: What is the millions digit of 1509132016? Resolution: 9 What if: What is the units digit of 302652430? Resolution: 0 What if: What is the millions digit of 35939907? Resolution: 5 What if: What is the units digit of 5892? Resolution: 2 What if: What is the ten millions digit of 479591526? Resolution: 7 What if: What is the hundreds digit of 1047? Resolution: 0 What if: What is the thousands digit of 151231? Resolution: 1 What if: What is the tens digit of 70977936? Resoluti
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numbers: is prime ----------------- Math Q: Is 45007 a prime number? Explanation: True Math Q: Is 19425463633 a composite number? Explanation: False Math Q: Is 915353 a prime number? Explanation: True Math Q: Is 11086454597 prime? Explanation: False Math Q: Is 14664191 prime? Explanation: False Math Q: Is 156047729977 prime? Explanation: True Math Q: Is 192287 a composite number? Explanation: True Math Q: Is 2350379 composite? Explanation: False Math Q: Is 159168531 prime? Explanation: False Math Q: Is 654257 a composite number? Explanation: False Math Q: Is 45018341 a prime number? Explanation: False Math Q: Is 1399 a prime number? Explanation: True Math Q: Is 124983473 a composite number? Explanation: True Math Q: Is 280138 composite? Explanation: True Math Q: Is 37159 a prime number? Explanation: True Math Q: Is 13365809 a composite number? Explanation: False Math Q: Is 3196412753 a composite number? Explanation: False Math Q: Is 539403299 composite? Explanation: False Math Q: Is 2813 prime? Explanation: False Math Q: Is 12233 prime? Explanation: False Math Q: Is 2452587523 a prime number? Explanation: False Math Q: Is 265463333 composite? Explanation: True Math Q: Is 110666776969 a composite number? Explanation: True Math Q: Is 136093 a composite number? Explanation: False Math Q: Is 172084728671 a prime number? Explanation: True Math Q: Is 4833674 a composite number? Explanation: True Math Q: Is 2060622433 a prime number? Explanation: True Math Q: Is 14519 a prime number? Explanation: True Math Q: Is 26840599 prime? Explanation: True Math Q: Is 483929 a composite number? Explanation: False Math Q: Is 103314581 prime? Explanation: True Math Q: Is 82735 a composite number? Explanation: True Math Q: Is 100981 composite? Explanation: False Math Q: Is 4385 a composite number? Explanation: True Math Q: Is 448973617 prime? Explanation: False Math Q: Is 4840379 composite? Explanation: False Math Q: Is 47684311 a composite number? Explanation: True Math Q: Is 39747737 c
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probability: swr p sequence --------------------------- Inquiry: Calculate prob of sequence xl when two letters picked without replacement from lllilzxqzliz. Calculation: 5/132 Inquiry: Four letters picked without replacement from {r: 2, d: 1, j: 1, n: 1, o: 6, a: 4}. Give prob of sequence jdrr. Calculation: 1/16380 Inquiry: Two letters picked without replacement from {c: 12, o: 7, y: 1}. What is prob of sequence co? Calculation: 21/95 Inquiry: Two letters picked without replacement from {p: 2, g: 6}. Give prob of sequence gg. Calculation: 15/28 Inquiry: Four letters picked without replacement from {l: 1, a: 5, o: 3, k: 3, t: 1, s: 2}. What is prob of sequence tasl? Calculation: 1/3276 Inquiry: Calculate prob of sequence dks when three letters picked without replacement from {k: 5, z: 5, j: 1, d: 4, s: 4}. Calculation: 40/2907 Inquiry: Four letters picked without replacement from {d: 4, g: 2, p: 6, l: 1}. Give prob of sequence dglg. Calculation: 1/2145 Inquiry: What is prob of sequence spfp when four letters picked without replacement from jsspfppfjsfjjf? Calculation: 3/1001 Inquiry: Calculate prob of sequence lm when two letters picked without replacement from {g: 1, j: 2, l: 1, m: 2, w: 2}. Calculation: 1/28 Inquiry: What is prob of sequence txxi when four letters picked without replacement from iitiutuinitxunniixu? Calculation: 7/15504 Inquiry: Two letters picked without replacement from {k: 3, d: 4}. Give prob of sequence kk. Calculation: 1/7 Inquiry: Calculate prob of sequence ppii when four letters picked without replacement from pipppppppipppippip. Calculation: 91/3060 Inquiry: What is prob of sequence bur when three letters picked without replacement from urrrbruuuu? Calculation: 1/36 Inquiry: What is prob of sequence kc when two letters picked without replacement from {c: 1, d: 1, k: 2, s: 1}? Calculation: 1/10 Inquiry: Calculate prob of sequence wd when two letters picked without replacement from {w: 3, d: 11}. Calculation: 33/182 Inquiry: Four letters pic
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probability: swr p sequence --------------------------- Inquiry: Two letters picked without replacement from {m: 1, j: 1, v: 1, c: 2}. Give prob of sequence cj. Ans: 1/10 Inquiry: Four letters picked without replacement from {y: 3, w: 7, a: 3}. What is prob of sequence wwaw? Ans: 21/572 Inquiry: Calculate prob of sequence iiv when three letters picked without replacement from vvivvvvvvvvdiv. Ans: 11/1092 Inquiry: Two letters picked without replacement from {n: 6, w: 4, k: 5, o: 1}. Give prob of sequence ow. Ans: 1/60 Inquiry: Two letters picked without replacement from ihhiihfhvfyhhfxfih. What is prob of sequence yv? Ans: 1/306 Inquiry: Calculate prob of sequence dvdv when four letters picked without replacement from ndmnnumnvmv. Ans: 0 Inquiry: Four letters picked without replacement from ojjgjhg. Give prob of sequence hgjg. Ans: 1/140 Inquiry: Calculate prob of sequence mmmm when four letters picked without replacement from mmllmm. Ans: 1/15 Inquiry: What is prob of sequence hja when three letters picked without replacement from sjzahsan? Ans: 1/168 Inquiry: Four letters picked without replacement from jjjjjtjjt. What is prob of sequence tjjt? Ans: 1/36 Inquiry: Four letters picked without replacement from {w: 3, b: 7}. Give prob of sequence bbbb. Ans: 1/6 Inquiry: What is prob of sequence ssq when three letters picked without replacement from sqssssssssss? Ans: 1/12 Inquiry: Two letters picked without replacement from fmuawumlw. What is prob of sequence wa? Ans: 1/36 Inquiry: Three letters picked without replacement from {t: 2, e: 2, s: 9}. Give prob of sequence est. Ans: 3/143 Inquiry: Four letters picked without replacement from {k: 2, t: 5, e: 2}. What is prob of sequence keet? Ans: 5/756 Inquiry: Calculate prob of sequence aaao when four letters picked without replacement from {a: 10, o: 2}. Ans: 4/33 Inquiry: What is prob of sequence ww when two letters picked without replacement from ggwggggwgggwgggwgg? Ans: 2/51 Inquiry: Calculate prob of sequence yh when
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probability: swr p sequence --------------------------- Given: Four letters picked without replacement from {n: 3, x: 3, l: 1, y: 5}. Give prob of sequence llyn. Solution: 0 Given: Three letters picked without replacement from kkppkrpkkprkpppk. What is prob of sequence rrp? Solution: 1/240 Given: Calculate prob of sequence dxxx when four letters picked without replacement from {x: 8, d: 5}. Solution: 14/143 Given: What is prob of sequence frf when three letters picked without replacement from ffrffrrfrff? Solution: 28/165 Given: Three letters picked without replacement from iqxqiuyyyyuuuiyuuii. Give prob of sequence iyx. Solution: 25/5814 Given: Three letters picked without replacement from qqhqhqhqtqhqqqqqhqqt. Give prob of sequence hth. Solution: 1/171 Given: Three letters picked without replacement from hhfah. Give prob of sequence ahh. Solution: 1/10 Given: Calculate prob of sequence sqf when three letters picked without replacement from fqpys. Solution: 1/60 Given: Four letters picked without replacement from {u: 2, a: 4, d: 4}. Give prob of sequence auda. Solution: 2/105 Given: Calculate prob of sequence yy when two letters picked without replacement from {y: 9}. Solution: 1 Given: What is prob of sequence mmw when three letters picked without replacement from {g: 1, w: 5, m: 3}? Solution: 5/84 Given: Two letters picked without replacement from {w: 1, z: 5, k: 2, h: 2, j: 4}. What is prob of sequence kj? Solution: 4/91 Given: Four letters picked without replacement from {a: 3, v: 3, l: 4, x: 2, b: 6}. Give prob of sequence bbva. Solution: 1/272 Given: What is prob of sequence cv when two letters picked without replacement from {c: 5, v: 13}? Solution: 65/306 Given: Three letters picked without replacement from ugugqugqgug. Give prob of sequence quu. Solution: 4/165 Given: Three letters picked without replacement from {k: 1, r: 1, u: 2, c: 2}. Give prob of sequence kuc. Solution: 1/30 Given: What is prob of sequence yy when two letters picked without replacemen
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numbers: div remainder ---------------------- Issue: Calculate the remainder when 901762 is divided by 2102. Yields: 4 Issue: Calculate the remainder when 835093 is divided by 139181. Yields: 7 Issue: What is the remainder when 1589361 is divided by 318? Yields: 315 Issue: What is the remainder when 832782 is divided by 146? Yields: 144 Issue: Calculate the remainder when 154473 is divided by 222. Yields: 183 Issue: What is the remainder when 150 is divided by 7? Yields: 3 Issue: Calculate the remainder when 17232879 is divided by 528. Yields: 15 Issue: What is the remainder when 25 is divided by 21? Yields: 4 Issue: What is the remainder when 1383501 is divided by 4257? Yields: 4233 Issue: What is the remainder when 1258333 is divided by 6? Yields: 1 Issue: What is the remainder when 1948464 is divided by 349? Yields: 346 Issue: Calculate the remainder when 805995 is divided by 19. Yields: 15 Issue: What is the remainder when 135 is divided by 17? Yields: 16 Issue: What is the remainder when 86036529 is divided by 395? Yields: 394 Issue: What is the remainder when 22853502 is divided by 64? Yields: 62 Issue: What is the remainder when 2643644 is divided by 440604? Yields: 20 Issue: Calculate the remainder when 10347 is divided by 5171. Yields: 5 Issue: What is the remainder when 1185 is divided by 195? Yields: 15 Issue: What is the remainder when 6535 is divided by 3217? Yields: 101 Issue: Calculate the remainder when 31242 is divided by 211. Yields: 14 Issue: Calculate the remainder when 1739 is divided by 87. Yields: 86 Issue: What is the remainder when 19 is divided by 10? Yields: 9 Issue: What is the remainder when 26488 is divided by 344? Yields: 0 Issue: Calculate the remainder when 5582 is divided by 127. Yields: 121 Issue: What is the remainder when 1471 is divided by 351? Yields: 67 Issue: What is the remainder when 4196239 is divided by 32783? Yields: 15 Issue: What is the remainder when 425971845 is divided by 9481? Yields: 9477 Issue: What is the remain
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numbers: place value -------------------- What if: What is the thousands digit of 245186? Calculation: 5 What if: What is the tens digit of 263? Calculation: 6 What if: What is the tens digit of 865? Calculation: 6 What if: What is the tens digit of 43183680? Calculation: 8 What if: What is the tens digit of 215039? Calculation: 3 What if: What is the hundred thousands digit of 5169947328? Calculation: 9 What if: What is the millions digit of 509687529? Calculation: 9 What if: What is the tens digit of 9150? Calculation: 5 What if: What is the thousands digit of 1688? Calculation: 1 What if: What is the units digit of 2930? Calculation: 0 What if: What is the tens digit of 18868? Calculation: 6 What if: What is the tens digit of 12191955? Calculation: 5 What if: What is the tens digit of 233581802? Calculation: 0 What if: What is the thousands digit of 2038? Calculation: 2 What if: What is the tens digit of 35627? Calculation: 2 What if: What is the thousands digit of 11203746? Calculation: 3 What if: What is the tens digit of 1224? Calculation: 2 What if: What is the hundred thousands digit of 455792? Calculation: 4 What if: What is the hundreds digit of 16078383? Calculation: 3 What if: What is the tens digit of 70555? Calculation: 5 What if: What is the units digit of 18631? Calculation: 1 What if: What is the units digit of 2041561542? Calculation: 2 What if: What is the hundred millions digit of 106151989? Calculation: 1 What if: What is the hundreds digit of 130093? Calculation: 0 What if: What is the millions digit of 27479894? Calculation: 7 What if: What is the thousands digit of 74928826? Calculation: 8 What if: What is the units digit of 1234? Calculation: 4 What if: What is the units digit of 1902812000? Calculation: 0 What if: What is the thousands digit of 480859? Calculation: 0 What if: What is the hundred millions digit of 487810415? Calculation: 4 What if: What is the units digit of 339794? Calculation: 4 What if: What is the hundred thousands digit
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numbers: gcd ------------ Example: What is the greatest common divisor of 7 and 1141? Ans: 7 Example: What is the greatest common factor of 3731208 and 1248? Ans: 312 Example: Calculate the greatest common factor of 183897 and 31899. Ans: 147 Example: Calculate the greatest common factor of 94160 and 616. Ans: 88 Example: Calculate the greatest common divisor of 190483 and 5497. Ans: 239 Example: What is the highest common factor of 1258666 and 666? Ans: 74 Example: Calculate the greatest common factor of 105660 and 360. Ans: 180 Example: What is the greatest common divisor of 108976 and 16219? Ans: 49 Example: Calculate the greatest common factor of 968 and 132208516. Ans: 44 Example: Calculate the greatest common factor of 11 and 1661. Ans: 11 Example: Calculate the highest common divisor of 2 and 26456483. Ans: 1 Example: Calculate the highest common divisor of 272208538 and 2814. Ans: 938 Example: What is the highest common factor of 22333 and 1250165? Ans: 23 Example: Calculate the highest common factor of 83750 and 208750. Ans: 1250 Example: What is the greatest common divisor of 3605 and 5799003? Ans: 721 Example: Calculate the highest common divisor of 504 and 14056. Ans: 56 Example: What is the greatest common factor of 1453095 and 2989? Ans: 49 Example: What is the highest common divisor of 2375 and 625? Ans: 125 Example: Calculate the highest common divisor of 3360 and 236760. Ans: 120 Example: Calculate the highest common divisor of 152 and 56. Ans: 8 Example: Calculate the highest common divisor of 420 and 2061440. Ans: 20 Example: What is the greatest common divisor of 315 and 27? Ans: 9 Example: Calculate the greatest common factor of 1808 and 2128. Ans: 16 Example: Calculate the highest common divisor of 55 and 55. Ans: 55 Example: Calculate the greatest common divisor of 184 and 108. Ans: 4 Example: What is the highest common divisor of 4196 and 4? Ans: 4 Example: What is the greatest common factor of 104 and 8? Ans: 8 Example: Calculate the greates
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probability: swr p level set ---------------------------- Challenge: Two letters picked without replacement from {r: 2, e: 3}. Give prob of picking 1 r and 1 e. Reply: 3/5 Challenge: Calculate prob of picking 2 j and 2 b when four letters picked without replacement from {z: 5, b: 2, w: 1, a: 2, j: 2, m: 2}. Reply: 1/1001 Challenge: What is prob of picking 1 z and 1 s when two letters picked without replacement from sbzbzbszbbz? Reply: 8/55 Challenge: What is prob of picking 1 i and 2 w when three letters picked without replacement from {r: 1, i: 6, l: 8, w: 3}? Reply: 3/136 Challenge: Two letters picked without replacement from {n: 1, m: 5, z: 1, i: 3, d: 6, a: 4}. What is prob of picking 1 d and 1 z? Reply: 3/95 Challenge: What is prob of picking 2 l when two letters picked without replacement from wlzlllwxzxll? Reply: 5/22 Challenge: What is prob of picking 1 s and 1 i when two letters picked without replacement from siirrs? Reply: 4/15 Challenge: Two letters picked without replacement from {f: 2, h: 6}. Give prob of picking 1 h and 1 f. Reply: 3/7 Challenge: Calculate prob of picking 1 s, 1 d, and 1 y when three letters picked without replacement from wysydsowswyys. Reply: 8/143 Challenge: What is prob of picking 1 s and 1 l when two letters picked without replacement from seelceccslleclsc? Reply: 1/10 Challenge: Two letters picked without replacement from {q: 1, i: 1, k: 2}. Give prob of picking 1 q and 1 k. Reply: 1/3 Challenge: What is prob of picking 1 p and 1 y when two letters picked without replacement from yppwpswp? Reply: 1/7 Challenge: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {e: 2, q: 1, p: 1}. Reply: 1/3 Challenge: Two letters picked without replacement from {d: 1, z: 5, m: 1, h: 1, w: 3}. What is prob of picking 1 d and 1 z? Reply: 1/11 Challenge: Four letters picked without replacement from {i: 1, k: 1, j: 6, a: 6, r: 1, f: 3}. Give prob of picking 1 j, 2 f, and 1 i. Reply: 1/170 Challenge: Two letters p
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probability: swr p sequence --------------------------- Problem: What is prob of sequence lxc when three letters picked without replacement from {c: 2, x: 5, y: 6, l: 3, w: 3, t: 1}? Steps: 1/228 Problem: What is prob of sequence ls when two letters picked without replacement from sthlhsh? Steps: 1/21 Problem: What is prob of sequence ba when two letters picked without replacement from sbbaqcqaaqqqqqsqqqqq? Steps: 3/190 Problem: What is prob of sequence mc when two letters picked without replacement from wmmwwwwwtmwc? Steps: 1/44 Problem: What is prob of sequence uuu when three letters picked without replacement from {u: 10}? Steps: 1 Problem: What is prob of sequence ihh when three letters picked without replacement from hidhihhiiiihi? Steps: 35/429 Problem: Three letters picked without replacement from xuuxxxxwwxwwx. Give prob of sequence wuu. Steps: 2/429 Problem: Calculate prob of sequence ra when two letters picked without replacement from kkaykrkrrkd. Steps: 3/110 Problem: Calculate prob of sequence wzyw when four letters picked without replacement from wpzpzppywyz. Steps: 1/660 Problem: What is prob of sequence kzzz when four letters picked without replacement from {z: 13, k: 6}? Steps: 143/1292 Problem: What is prob of sequence wfw when three letters picked without replacement from {w: 4, f: 3}? Steps: 6/35 Problem: Three letters picked without replacement from bisbbhhhbso. What is prob of sequence ibo? Steps: 2/495 Problem: Four letters picked without replacement from kkkkkkpkkkkkkkkkkk. What is prob of sequence kkpk? Steps: 1/18 Problem: Three letters picked without replacement from rrpppp. Give prob of sequence rrp. Steps: 1/15 Problem: What is prob of sequence glhh when four letters picked without replacement from {l: 1, g: 2, q: 8, h: 8, r: 1}? Steps: 14/14535 Problem: What is prob of sequence ajj when three letters picked without replacement from {w: 3, a: 10, j: 4, k: 1}? Steps: 5/204 Problem: Four letters picked without replacement from mrshmmssmr. G
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measurement: time ----------------- Challenge: What is 92 minutes before 12:58 PM? Interpretation: 11:26 AM Challenge: What is 103 minutes after 6:34 AM? Interpretation: 8:17 AM Challenge: What is 652 minutes after 11:34 PM? Interpretation: 10:26 AM Challenge: What is 327 minutes after 3:40 AM? Interpretation: 9:07 AM Challenge: What is 139 minutes after 4:28 AM? Interpretation: 6:47 AM Challenge: How many minutes are there between 8:27 PM and 6:00 AM? Interpretation: 573 Challenge: How many minutes are there between 10:49 PM and 9:52 AM? Interpretation: 663 Challenge: What is 532 minutes after 7:00 AM? Interpretation: 3:52 PM Challenge: How many minutes are there between 1:36 AM and 9:44 AM? Interpretation: 488 Challenge: How many minutes are there between 4:33 AM and 4:00 PM? Interpretation: 687 Challenge: What is 323 minutes after 11:18 AM? Interpretation: 4:41 PM Challenge: What is 20 minutes before 10:26 AM? Interpretation: 10:06 AM Challenge: What is 300 minutes after 2:15 AM? Interpretation: 7:15 AM Challenge: How many minutes are there between 6:47 PM and 2:58 AM? Interpretation: 491 Challenge: What is 470 minutes after 6:27 AM? Interpretation: 2:17 PM Challenge: How many minutes are there between 12:44 AM and 2:35 AM? Interpretation: 111 Challenge: What is 149 minutes before 9:14 PM? Interpretation: 6:45 PM Challenge: What is 153 minutes after 1:38 AM? Interpretation: 4:11 AM Challenge: How many minutes are there between 6:18 AM and 2:29 PM? Interpretation: 491 Challenge: What is 121 minutes after 2:32 PM? Interpretation: 4:33 PM Challenge: How many minutes are there between 1:51 AM and 3:28 AM? Interpretation: 97 Challenge: What is 520 minutes before 2:36 AM? Interpretation: 5:56 PM Challenge: What is 289 minutes after 8:52 PM? Interpretation: 1:41 AM Challenge: How many minutes are there between 4:21 AM and 8:32 AM? Interpretation: 251 Challenge: How many minutes are there between 3:28 PM and 1:20 AM? Interpretation: 592 Challenge: How many minutes are th
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numbers: is factor ------------------ Question: Does 263 divide 50059? Derivation: False Question: Does 20 divide 298? Derivation: False Question: Does 5 divide 83372? Derivation: False Question: Is 729506 a multiple of 176? Derivation: False Question: Is 96 a factor of 9024? Derivation: True Question: Does 54 divide 11502? Derivation: True Question: Is 8 a factor of 16616? Derivation: True Question: Does 9 divide 1358199? Derivation: True Question: Is 4437777161 a multiple of 19? Derivation: True Question: Does 243 divide 267322636? Derivation: False Question: Is 21556389 a multiple of 460? Derivation: False Question: Does 15 divide 137? Derivation: False Question: Does 28 divide 11312? Derivation: True Question: Does 54 divide 4536? Derivation: True Question: Does 6 divide 189427? Derivation: False Question: Is 9 a factor of 369468? Derivation: True Question: Is 94697688 a multiple of 1388? Derivation: True Question: Is 35873 a multiple of 29? Derivation: True Question: Is 352 a factor of 4173664? Derivation: True Question: Does 21 divide 63795? Derivation: False Question: Is 75 a factor of 376661? Derivation: False Question: Is 8 a factor of 7904? Derivation: True Question: Does 690 divide 351056130? Derivation: True Question: Is 2332176 a multiple of 154? Derivation: True Question: Does 97 divide 244828? Derivation: True Question: Is 977 a factor of 1364869? Derivation: True Question: Is 65988 a multiple of 51? Derivation: False Question: Is 19 a factor of 432? Derivation: False Question: Does 23 divide 945? Derivation: False Question: Does 356 divide 28700008? Derivation: True Question: Does 608 divide 347168? Derivation: True Question: Is 95397178 a multiple of 6? Derivation: False Question: Is 44 a factor of 1915188? Derivation: True Question: Does 30 divide 1034? Derivation: False Question: Is 213012 a multiple of 44? Derivation: False Question: Is 7852904 a multiple of 43? Derivation: False Question: Is 77 a factor of 770? Derivation: True Question: Is 141
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numbers: place value -------------------- Query: What is the hundred thousands digit of 1366809953? Calculation: 8 Query: What is the millions digit of 33751760? Calculation: 3 Query: What is the units digit of 2642? Calculation: 2 Query: What is the hundred thousands digit of 598239149? Calculation: 2 Query: What is the hundreds digit of 3593? Calculation: 5 Query: What is the ten thousands digit of 4437311707? Calculation: 1 Query: What is the units digit of 1923889? Calculation: 9 Query: What is the ten thousands digit of 10654? Calculation: 1 Query: What is the hundreds digit of 3482440? Calculation: 4 Query: What is the hundred thousands digit of 14899357? Calculation: 8 Query: What is the thousands digit of 78603? Calculation: 8 Query: What is the units digit of 1289952? Calculation: 2 Query: What is the tens digit of 775? Calculation: 7 Query: What is the tens digit of 39? Calculation: 3 Query: What is the thousands digit of 5848416? Calculation: 8 Query: What is the hundred thousands digit of 819027? Calculation: 8 Query: What is the hundreds digit of 2070? Calculation: 0 Query: What is the ten thousands digit of 2248829? Calculation: 4 Query: What is the hundred thousands digit of 260778? Calculation: 2 Query: What is the hundreds digit of 430? Calculation: 4 Query: What is the hundred thousands digit of 554664? Calculation: 5 Query: What is the thousands digit of 970632884? Calculation: 2 Query: What is the hundreds digit of 408483? Calculation: 4 Query: What is the tens digit of 1810? Calculation: 1 Query: What is the hundreds digit of 138? Calculation: 1 Query: What is the ten thousands digit of 16934107? Calculation: 3 Query: What is the tens digit of 7272741? Calculation: 4 Query: What is the tens digit of 512061? Calculation: 6 Query: What is the units digit of 18288090? Calculation: 0 Query: What is the ten thousands digit of 250991? Calculation: 5 Query: What is the thousands digit of 8565? Calculation: 8 Query: What is the ten thousands digit of 36
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numbers: is factor ------------------ Prompt: Does 125 divide 1545858? Output: False Prompt: Is 17 a factor of 3383? Output: True Prompt: Is 565680 a multiple of 4? Output: True Prompt: Is 7 a factor of 3190103? Output: True Prompt: Does 13 divide 198278? Output: False Prompt: Does 82 divide 43241? Output: False Prompt: Is 234976675 even? Output: False Prompt: Is 60 a factor of 300? Output: True Prompt: Is 6285 a multiple of 15? Output: True Prompt: Is 24380 a multiple of 23? Output: True Prompt: Is 62712 a multiple of 26? Output: True Prompt: Is 71 a factor of 6258? Output: False Prompt: Is 10460185 a multiple of 55? Output: False Prompt: Is 204 a factor of 71718498? Output: False Prompt: Is 247 a factor of 667762992? Output: False Prompt: Is 8522 a factor of 1776436466? Output: True Prompt: Does 790 divide 2790846? Output: False Prompt: Is 10 a factor of 17600? Output: True Prompt: Is 23 a factor of 21736? Output: False Prompt: Is 73374 a multiple of 14? Output: True Prompt: Does 19 divide 15577? Output: False Prompt: Is 138 a factor of 15575? Output: False Prompt: Does 83 divide 2407? Output: True Prompt: Does 125 divide 155118232? Output: False Prompt: Does 147 divide 137151? Output: True Prompt: Is 3 a factor of 506771116? Output: False Prompt: Is 21 a factor of 12810? Output: True Prompt: Is 12 a factor of 6221376? Output: True Prompt: Does 17 divide 1217? Output: False Prompt: Is 161952 a multiple of 96? Output: True Prompt: Is 599055641 a multiple of 2? Output: False Prompt: Does 74 divide 54985? Output: False Prompt: Is 67 a factor of 107527211? Output: False Prompt: Does 304 divide 50623? Output: False Prompt: Is 9 a factor of 28435545? Output: True Prompt: Is 26 a factor of 1652? Output: False Prompt: Does 7 divide 392? Output: True Prompt: Does 80 divide 9173201? Output: False Prompt: Is 58 a factor of 8065? Output: False Prompt: Is 52 a factor of 19956820? Output: True Prompt: Does 4 divide 468920? Output: True Prompt: Is 1771646 a multiple of 364? Outp
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arithmetic: nearest integer root -------------------------------- Q/A: What is 156247 to the power of 1/3, to the nearest integer? Ans: 54 Q/A: What is 1017676433 to the power of 1/2, to the nearest integer? Ans: 31901 Q/A: What is the square root of 21172 to the nearest integer? Ans: 146 Q/A: What is the third root of 1012 to the nearest integer? Ans: 10 Q/A: What is the sixth root of 2680 to the nearest integer? Ans: 4 Q/A: What is the third root of 971 to the nearest integer? Ans: 10 Q/A: What is the tenth root of 54 to the nearest integer? Ans: 1 Q/A: What is the seventh root of 8051 to the nearest integer? Ans: 4 Q/A: What is the eighth root of 194 to the nearest integer? Ans: 2 Q/A: What is the ninth root of 19954 to the nearest integer? Ans: 3 Q/A: What is the cube root of 1890 to the nearest integer? Ans: 12 Q/A: What is the sixth root of 76222 to the nearest integer? Ans: 7 Q/A: What is the square root of 237418516 to the nearest integer? Ans: 15408 Q/A: What is 1774526 to the power of 1/9, to the nearest integer? Ans: 5 Q/A: What is the square root of 849644 to the nearest integer? Ans: 922 Q/A: What is the third root of 3995 to the nearest integer? Ans: 16 Q/A: What is the fifth root of 1057739 to the nearest integer? Ans: 16 Q/A: What is 4949599 to the power of 1/9, to the nearest integer? Ans: 6 Q/A: What is the tenth root of 212136832 to the nearest integer? Ans: 7 Q/A: What is the cube root of 204081 to the nearest integer? Ans: 59 Q/A: What is the square root of 6903 to the nearest integer? Ans: 83 Q/A: What is 6971368 to the power of 1/9, to the nearest integer? Ans: 6 Q/A: What is 313611 to the power of 1/6, to the nearest integer? Ans: 8 Q/A: What is the ninth root of 627617271 to the nearest integer? Ans: 9 Q/A: What is the cube root of 406 to the nearest integer? Ans: 7 Q/A: What is the sixth root of 956959254 to the nearest integer? Ans: 31 Q/A: What is 326203 to the power of 1/9, to the nearest integer? Ans: 4 Q/A: What is the square root of 5
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numbers: is factor ------------------ Task: Does 30 divide 2588370? Response: True Task: Is 1072993402 a multiple of 26? Response: True Task: Does 37 divide 7045? Response: False Task: Is 15 a factor of 900344277? Response: False Task: Does 13 divide 963794? Response: True Task: Is 74474 a multiple of 17? Response: False Task: Is 96953 a multiple of 111? Response: False Task: Is 2897505 a multiple of 1651? Response: True Task: Does 11 divide 143927217? Response: False Task: Is 17 a factor of 67250? Response: False Task: Does 18 divide 6709? Response: False Task: Is 939241 a multiple of 44? Response: False Task: Is 7271 a factor of 1911160537? Response: True Task: Is 2 a factor of 159212071? Response: False Task: Does 242 divide 3096859? Response: False Task: Does 11 divide 163249? Response: False Task: Is 96931 a multiple of 31? Response: False Task: Is 32141383 a multiple of 1803? Response: False Task: Is 2009 a multiple of 21? Response: False Task: Is 921862 a multiple of 6? Response: False Task: Is 803 a factor of 6650446? Response: True Task: Is 5102780 a multiple of 46? Response: True Task: Is 98025900 a multiple of 14? Response: True Task: Is 89 a factor of 53044? Response: True Task: Is 5401749 a multiple of 40? Response: False Task: Is 77 a factor of 548? Response: False Task: Is 255 a factor of 1892610? Response: True Task: Is 48 a factor of 8200? Response: False Task: Does 12 divide 29548141? Response: False Task: Is 585 a multiple of 39? Response: True Task: Is 26 a factor of 26? Response: True Task: Does 713 divide 83134906? Response: False Task: Is 14 a factor of 10094? Response: True Task: Is 662 a factor of 3022030? Response: True Task: Is 20449085 a multiple of 6? Response: False Task: Does 12 divide 1164? Response: True Task: Is 3343 a multiple of 69? Response: False Task: Does 838 divide 170160928? Response: True Task: Is 12 a factor of 108? Response: True Task: Is 11 a factor of 147865237? Response: False Task: Is 227 a factor of 831605985? Respon
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probability: swr p level set ---------------------------- Task: Three letters picked without replacement from addddddaad. What is prob of picking 1 a and 2 d? Calculation: 21/40 Task: What is prob of picking 3 a and 1 k when four letters picked without replacement from {a: 3, k: 2}? Calculation: 2/5 Task: Three letters picked without replacement from {w: 3, g: 3, s: 2}. What is prob of picking 2 w and 1 g? Calculation: 9/56 Task: Three letters picked without replacement from ogooooowoogoowgwoo. What is prob of picking 1 g and 2 w? Calculation: 3/272 Task: Four letters picked without replacement from gvbvvvvgvgggbgvvvv. What is prob of picking 2 b and 2 v? Calculation: 1/68 Task: Calculate prob of picking 1 z and 3 r when four letters picked without replacement from {z: 6, t: 1, r: 6, d: 1, m: 5}. Calculation: 10/323 Task: Calculate prob of picking 2 z and 2 s when four letters picked without replacement from szksksszssszsz. Calculation: 24/143 Task: Two letters picked without replacement from {a: 9, i: 7}. What is prob of picking 2 i? Calculation: 7/40 Task: Two letters picked without replacement from xkbbxbbkxxbxxx. What is prob of picking 1 x and 1 b? Calculation: 5/13 Task: Calculate prob of picking 3 j when three letters picked without replacement from {j: 9, s: 3}. Calculation: 21/55 Task: What is prob of picking 2 a when two letters picked without replacement from nnnnannnnannnnnnnnn? Calculation: 1/171 Task: What is prob of picking 1 w, 1 k, and 2 o when four letters picked without replacement from wxoxfkkxxxolxoxx? Calculation: 3/910 Task: Three letters picked without replacement from oggogoggoogg. What is prob of picking 1 g and 2 o? Calculation: 7/22 Task: Three letters picked without replacement from nbwwwwwwnccb. What is prob of picking 2 n and 1 b? Calculation: 1/110 Task: Four letters picked without replacement from lgggjggsgggglg. Give prob of picking 3 g and 1 s. Calculation: 120/1001 Task: Calculate prob of picking 1 m and 1 o when two letters picke
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numbers: is factor ------------------ Challenge: Does 57 divide 3250004? Result: False Challenge: Is 46509921 a multiple of 3? Result: True Challenge: Is 934386 a multiple of 7? Result: False Challenge: Does 12 divide 2001? Result: False Challenge: Is 1872 a multiple of 144? Result: True Challenge: Does 21 divide 711711? Result: True Challenge: Does 104 divide 1875328? Result: True Challenge: Is 15 a factor of 2904051120? Result: True Challenge: Is 57 a factor of 1961313? Result: True Challenge: Is 3354263974 a multiple of 14? Result: False Challenge: Does 44 divide 69224610? Result: False Challenge: Does 124 divide 7688? Result: True Challenge: Does 251 divide 1803948? Result: False Challenge: Is 16164 a multiple of 7? Result: False Challenge: Does 10 divide 3070? Result: True Challenge: Is 71 a factor of 63527985? Result: False Challenge: Does 64 divide 295003712? Result: True Challenge: Does 23 divide 20125? Result: True Challenge: Does 9 divide 5785? Result: False Challenge: Is 40 a factor of 11560? Result: True Challenge: Does 8 divide 187367023? Result: False Challenge: Is 6805530 a multiple of 15? Result: True Challenge: Is 462999051 a multiple of 27? Result: True Challenge: Is 16761 a multiple of 7? Result: False Challenge: Does 104 divide 384072? Result: True Challenge: Is 1417562 a multiple of 17? Result: True Challenge: Does 128 divide 58240? Result: True Challenge: Is 88118 a multiple of 21? Result: False Challenge: Does 147 divide 2789? Result: False Challenge: Is 242 a factor of 6776726? Result: True Challenge: Is 6094 a multiple of 11? Result: True Challenge: Is 33 a factor of 24945385? Result: False Challenge: Is 607 a multiple of 18? Result: False Challenge: Does 564 divide 233323381? Result: False Challenge: Does 10 divide 314? Result: False Challenge: Does 20 divide 4528180? Result: True Challenge: Is 160185 a multiple of 2? Result: False Challenge: Is 94302 a multiple of 33? Result: False Challenge: Is 46 a factor of 3493332799? Result: False Cha
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measurement: conversion ----------------------- Prompt: How many milligrams are there in 13761.06ng? Thus: 0.01376106 Prompt: What is 18.2208ml in litres? Thus: 0.0182208 Prompt: Convert 0.4284073 millilitres to litres. Thus: 0.0004284073 Prompt: What is 27/5 of a litre in millilitres? Thus: 5400 Prompt: How many nanometers are there in 562540.9 kilometers? Thus: 562540900000000000 Prompt: What is 5/8 of a tonne in kilograms? Thus: 625 Prompt: How many weeks are there in 46.897221 hours? Thus: 0.279150125 Prompt: How many hours are there in 57094.866 milliseconds? Thus: 0.015859685 Prompt: What is three fifths of a microgram in nanograms? Thus: 600 Prompt: How many minutes are there in 5951.386 hours? Thus: 357083.16 Prompt: How many minutes are there in 3/32 of a week? Thus: 945 Prompt: Convert 324133.7 weeks to minutes. Thus: 3267267696 Prompt: What is 827.7165l in millilitres? Thus: 827716.5 Prompt: Convert 97572.49ml to litres. Thus: 97.57249 Prompt: Convert 502106.7 micrograms to nanograms. Thus: 502106700 Prompt: What is seven quarters of a centimeter in micrometers? Thus: 17500 Prompt: What is three eighths of a litre in millilitres? Thus: 375 Prompt: Convert 52298.85 millennia to centuries. Thus: 522988.5 Prompt: What is 2137.5822s in minutes? Thus: 35.62637 Prompt: How many millilitres are there in one fifth of a litre? Thus: 200 Prompt: What is 15.76356 seconds in microseconds? Thus: 15763560 Prompt: How many seconds are there in 4/15 of a day? Thus: 23040 Prompt: What is 91.54689 months in years? Thus: 7.6289075 Prompt: What is 0.4773908g in kilograms? Thus: 0.0004773908 Prompt: What is 5/8 of a centimeter in micrometers? Thus: 6250 Prompt: Convert 139.38933 months to millennia. Thus: 0.0116157775 Prompt: What is 7/2 of a litre in millilitres? Thus: 3500 Prompt: What is 1/15 of a week in seconds? Thus: 40320 Prompt: How many microseconds are there in 1/20 of a millisecond? Thus: 50 Prompt: What is thirteen eighths of a litre in millilitres? Thus: 1625 Pro
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probability: swr p sequence --------------------------- Problem #: Three letters picked without replacement from {y: 10, q: 2}. What is prob of sequence yqy? Response: 3/22 Problem #: Three letters picked without replacement from eiiihiihccce. Give prob of sequence ihc. Response: 1/44 Problem #: Four letters picked without replacement from {m: 15, o: 4}. Give prob of sequence omoo. Response: 5/1292 Problem #: Four letters picked without replacement from zmozoooozozozoooo. What is prob of sequence oozm? Response: 55/5712 Problem #: Three letters picked without replacement from {g: 3, h: 7}. What is prob of sequence ggh? Response: 7/120 Problem #: Calculate prob of sequence qei when three letters picked without replacement from gilgglqge. Response: 1/504 Problem #: Three letters picked without replacement from {q: 2, a: 4}. What is prob of sequence aaq? Response: 1/5 Problem #: Calculate prob of sequence bb when two letters picked without replacement from ihulltbb. Response: 1/28 Problem #: What is prob of sequence tt when two letters picked without replacement from tytyyttyyys? Response: 6/55 Problem #: Two letters picked without replacement from {c: 1, p: 6, d: 5, b: 2, f: 2}. What is prob of sequence bf? Response: 1/60 Problem #: Three letters picked without replacement from ljlglpgglljspgt. Give prob of sequence lgl. Response: 8/273 Problem #: Calculate prob of sequence aawa when four letters picked without replacement from wawaa. Response: 1/10 Problem #: Calculate prob of sequence ntt when three letters picked without replacement from ttntnttntt. Response: 7/40 Problem #: Two letters picked without replacement from {i: 2, e: 16}. What is prob of sequence ee? Response: 40/51 Problem #: What is prob of sequence xkbg when four letters picked without replacement from biblgxk? Response: 1/420 Problem #: What is prob of sequence hhu when three letters picked without replacement from {x: 2, h: 2, u: 4}? Response: 1/42 Problem #: Calculate prob of sequence vvv when thre
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numbers: is prime ----------------- Given: Is 37817443 prime? Reply: True Given: Is 686167721 prime? Reply: False Given: Is 19654343 a composite number? Reply: False Given: Is 5809 prime? Reply: False Given: Is 28589017 a prime number? Reply: True Given: Is 118129 composite? Reply: True Given: Is 21008131 composite? Reply: True Given: Is 521963 a composite number? Reply: True Given: Is 2097461 composite? Reply: False Given: Is 25441991 a prime number? Reply: True Given: Is 67366903 prime? Reply: False Given: Is 6852477257 prime? Reply: True Given: Is 11114 a prime number? Reply: False Given: Is 111887 a composite number? Reply: True Given: Is 7349 composite? Reply: False Given: Is 4432927777 a composite number? Reply: False Given: Is 30757 a prime number? Reply: True Given: Is 22832203 prime? Reply: False Given: Is 1577479 composite? Reply: False Given: Is 981083273 prime? Reply: True Given: Is 11098391039 a composite number? Reply: False Given: Is 33686 a composite number? Reply: True Given: Is 28171153 composite? Reply: False Given: Is 3615512123 prime? Reply: False Given: Is 151451 a prime number? Reply: True Given: Is 3193695741 a prime number? Reply: False Given: Is 322159 composite? Reply: True Given: Is 3085 a prime number? Reply: False Given: Is 14257 composite? Reply: True Given: Is 280969037 a composite number? Reply: True Given: Is 3224857 composite? Reply: False Given: Is 84857 composite? Reply: False Given: Is 699323 composite? Reply: False Given: Is 70179503 composite? Reply: False Given: Is 35578069 composite? Reply: False Given: Is 83649 composite? Reply: True Given: Is 159559516873 a composite number? Reply: False Given: Is 47221 prime? Reply: True Given: Is 9787709 prime? Reply: True Given: Is 682865 prime? Reply: False Given: Is 13565543 prime? Reply: True Given: Is 356044267 a prime number? Reply: True Given: Is 4158403 a prime number? Reply: True Given: Is 979 composite? Reply: True Given: Is 12047 prime? Reply: False Given: Is 1657 a prime numb
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numbers: div remainder ---------------------- Challenge: Calculate the remainder when 22841577 is divided by 338. Calculation: 213 Challenge: Calculate the remainder when 23549 is divided by 53. Calculation: 17 Challenge: What is the remainder when 91167230 is divided by 5533? Calculation: 5522 Challenge: What is the remainder when 362 is divided by 6? Calculation: 2 Challenge: What is the remainder when 92367 is divided by 30788? Calculation: 3 Challenge: Calculate the remainder when 94 is divided by 49. Calculation: 45 Challenge: Calculate the remainder when 16893 is divided by 8426. Calculation: 41 Challenge: Calculate the remainder when 2125528 is divided by 1062700. Calculation: 128 Challenge: What is the remainder when 56893 is divided by 717? Calculation: 250 Challenge: What is the remainder when 110385 is divided by 9056? Calculation: 1713 Challenge: What is the remainder when 162070 is divided by 91? Calculation: 90 Challenge: What is the remainder when 283 is divided by 250? Calculation: 33 Challenge: What is the remainder when 3580 is divided by 3575? Calculation: 5 Challenge: Calculate the remainder when 334227897 is divided by 410. Calculation: 407 Challenge: What is the remainder when 875 is divided by 20? Calculation: 15 Challenge: What is the remainder when 1294 is divided by 13? Calculation: 7 Challenge: Calculate the remainder when 3037 is divided by 76. Calculation: 73 Challenge: What is the remainder when 208510 is divided by 73? Calculation: 22 Challenge: Calculate the remainder when 2907576 is divided by 1055. Calculation: 1051 Challenge: What is the remainder when 96463455 is divided by 63? Calculation: 60 Challenge: Calculate the remainder when 325063 is divided by 65. Calculation: 63 Challenge: Calculate the remainder when 697 is divided by 35. Calculation: 32 Challenge: Calculate the remainder when 28476 is divided by 5. Calculation: 1 Challenge: Calculate the remainder when 78440 is divided by 185. Calculation: 0 Challenge: Calculate the r
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numbers: is prime ----------------- Problem #: Is 4610120069 composite? Clarification: True Problem #: Is 1413024407 composite? Clarification: False Problem #: Is 1273112437 composite? Clarification: True Problem #: Is 1934614733 composite? Clarification: False Problem #: Is 2177 a composite number? Clarification: True Problem #: Is 4238257 a prime number? Clarification: True Problem #: Is 1189 a composite number? Clarification: True Problem #: Is 14607307963 a composite number? Clarification: True Problem #: Is 1411423 composite? Clarification: True Problem #: Is 10237 composite? Clarification: True Problem #: Is 9924323 prime? Clarification: True Problem #: Is 13558585 prime? Clarification: False Problem #: Is 4799299 a prime number? Clarification: True Problem #: Is 313309 prime? Clarification: False Problem #: Is 28629199 prime? Clarification: True Problem #: Is 1511731253 composite? Clarification: False Problem #: Is 5994143 a composite number? Clarification: False Problem #: Is 753 a composite number? Clarification: True Problem #: Is 2341338053 prime? Clarification: False Problem #: Is 246594583 prime? Clarification: True Problem #: Is 24366413 a prime number? Clarification: True Problem #: Is 16640417 composite? Clarification: True Problem #: Is 114673701 a prime number? Clarification: False Problem #: Is 60186143 a composite number? Clarification: False Problem #: Is 1360970297 composite? Clarification: True Problem #: Is 155018 composite? Clarification: True Problem #: Is 8456635097 a prime number? Clarification: True Problem #: Is 2853371 a prime number? Clarification: True Problem #: Is 20328113473 a composite number? Clarification: False Problem #: Is 6169732663 prime? Clarification: True Problem #: Is 789994633 a composite number? Clarification: True Problem #: Is 7001281 a prime number? Clarification: False Problem #: Is 6428531509 a prime number? Clarification: True Problem #: Is 17510215 composite? Clarification: True Problem #: Is 24257073453 a com
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numbers: div remainder ---------------------- Case: Calculate the remainder when 521 is divided by 25. Soln: 21 Case: What is the remainder when 193859 is divided by 10607? Soln: 2933 Case: What is the remainder when 607 is divided by 16? Soln: 15 Case: Calculate the remainder when 4793 is divided by 30. Soln: 23 Case: What is the remainder when 17326 is divided by 4327? Soln: 18 Case: Calculate the remainder when 305265 is divided by 1641. Soln: 39 Case: Calculate the remainder when 6859814 is divided by 244. Soln: 242 Case: Calculate the remainder when 177656 is divided by 155. Soln: 26 Case: Calculate the remainder when 219199 is divided by 176. Soln: 79 Case: What is the remainder when 6505 is divided by 44? Soln: 37 Case: Calculate the remainder when 957329 is divided by 1163. Soln: 180 Case: Calculate the remainder when 82 is divided by 14. Soln: 12 Case: What is the remainder when 1174623 is divided by 1743? Soln: 1584 Case: Calculate the remainder when 95403 is divided by 13. Soln: 9 Case: Calculate the remainder when 1309619 is divided by 8. Soln: 3 Case: Calculate the remainder when 2526 is divided by 876. Soln: 774 Case: Calculate the remainder when 163 is divided by 42. Soln: 37 Case: Calculate the remainder when 21202 is divided by 2352. Soln: 34 Case: What is the remainder when 1240 is divided by 54? Soln: 52 Case: What is the remainder when 87 is divided by 6? Soln: 3 Case: What is the remainder when 2933646 is divided by 8528? Soln: 14 Case: What is the remainder when 270 is divided by 87? Soln: 9 Case: What is the remainder when 55045 is divided by 256? Soln: 5 Case: What is the remainder when 201 is divided by 89? Soln: 23 Case: What is the remainder when 720 is divided by 719? Soln: 1 Case: Calculate the remainder when 6575 is divided by 237. Soln: 176 Case: Calculate the remainder when 692 is divided by 41. Soln: 36 Case: What is the remainder when 1336249 is divided by 2526? Soln: 2521 Case: Calculate the remainder when 62608769 is divided by 18
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numbers: place value -------------------- Conundrum: What is the ten thousands digit of 60756? Soln: 6 Conundrum: What is the thousands digit of 20083? Soln: 0 Conundrum: What is the units digit of 3979? Soln: 9 Conundrum: What is the units digit of 126544582? Soln: 2 Conundrum: What is the ten thousands digit of 92751146? Soln: 5 Conundrum: What is the tens digit of 9196034? Soln: 3 Conundrum: What is the units digit of 6400? Soln: 0 Conundrum: What is the ten millions digit of 12674300? Soln: 1 Conundrum: What is the tens digit of 473018? Soln: 1 Conundrum: What is the thousands digit of 169338627? Soln: 8 Conundrum: What is the ten millions digit of 10542651? Soln: 1 Conundrum: What is the thousands digit of 30522? Soln: 0 Conundrum: What is the thousands digit of 7389? Soln: 7 Conundrum: What is the thousands digit of 596779? Soln: 6 Conundrum: What is the units digit of 243558? Soln: 8 Conundrum: What is the millions digit of 2679591? Soln: 2 Conundrum: What is the hundreds digit of 3519? Soln: 5 Conundrum: What is the hundreds digit of 914? Soln: 9 Conundrum: What is the ten millions digit of 335635690? Soln: 3 Conundrum: What is the tens digit of 6410? Soln: 1 Conundrum: What is the hundreds digit of 60916? Soln: 9 Conundrum: What is the hundred thousands digit of 61800206? Soln: 8 Conundrum: What is the millions digit of 4268484127? Soln: 8 Conundrum: What is the tens digit of 5673? Soln: 7 Conundrum: What is the ten millions digit of 2386904281? Soln: 8 Conundrum: What is the hundred millions digit of 114648966? Soln: 1 Conundrum: What is the hundreds digit of 782? Soln: 7 Conundrum: What is the hundreds digit of 22467867? Soln: 8 Conundrum: What is the thousands digit of 601978? Soln: 1 Conundrum: What is the units digit of 5456? Soln: 6 Conundrum: What is the hundreds digit of 996436? Soln: 4 Conundrum: What is the hundreds digit of 743? Soln: 7 Conundrum: What is the hundreds digit of 728218? Soln: 2 Conundrum: What is the units digit of 213574? Soln: 4
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measurement: time ----------------- Prompt: What is 317 minutes before 12:11 PM? Finding: 6:54 AM Prompt: How many minutes are there between 4:16 PM and 4:58 PM? Finding: 42 Prompt: What is 386 minutes before 3:18 AM? Finding: 8:52 PM Prompt: What is 459 minutes after 10:38 AM? Finding: 6:17 PM Prompt: How many minutes are there between 7:00 PM and 12:53 AM? Finding: 353 Prompt: What is 197 minutes before 11:15 AM? Finding: 7:58 AM Prompt: What is 416 minutes before 8:51 AM? Finding: 1:55 AM Prompt: How many minutes are there between 2:26 AM and 9:24 AM? Finding: 418 Prompt: How many minutes are there between 10:27 AM and 8:12 PM? Finding: 585 Prompt: What is 40 minutes after 2:45 AM? Finding: 3:25 AM Prompt: What is 249 minutes after 11:17 PM? Finding: 3:26 AM Prompt: What is 170 minutes before 11:14 AM? Finding: 8:24 AM Prompt: What is 514 minutes after 8:34 PM? Finding: 5:08 AM Prompt: How many minutes are there between 1:41 PM and 10:27 PM? Finding: 526 Prompt: What is 303 minutes before 12:44 PM? Finding: 7:41 AM Prompt: How many minutes are there between 2:11 AM and 3:40 AM? Finding: 89 Prompt: How many minutes are there between 5:27 AM and 8:14 AM? Finding: 167 Prompt: What is 508 minutes after 5:20 AM? Finding: 1:48 PM Prompt: How many minutes are there between 8:59 PM and 8:09 AM? Finding: 670 Prompt: How many minutes are there between 2:55 PM and 5:05 PM? Finding: 130 Prompt: How many minutes are there between 6:32 AM and 9:59 AM? Finding: 207 Prompt: How many minutes are there between 8:21 PM and 11:35 PM? Finding: 194 Prompt: How many minutes are there between 11:38 PM and 8:26 AM? Finding: 528 Prompt: What is 473 minutes before 6:11 AM? Finding: 10:18 PM Prompt: What is 420 minutes after 7:16 PM? Finding: 2:16 AM Prompt: What is 318 minutes after 12:33 AM? Finding: 5:51 AM Prompt: What is 663 minutes before 11:07 PM? Finding: 12:04 PM Prompt: How many minutes are there between 10:04 AM and 9:07 PM? Finding: 663 Prompt: What is 443 minutes before 3:02 PM
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numbers: place value -------------------- Request: What is the thousands digit of 140923? Ans: 0 Request: What is the thousands digit of 2021313? Ans: 1 Request: What is the hundreds digit of 57489? Ans: 4 Request: What is the hundreds digit of 34873023? Ans: 0 Request: What is the ten thousands digit of 15063? Ans: 1 Request: What is the units digit of 44771638? Ans: 8 Request: What is the millions digit of 48169618? Ans: 8 Request: What is the hundred thousands digit of 396757? Ans: 3 Request: What is the thousands digit of 59547? Ans: 9 Request: What is the ten thousands digit of 12614? Ans: 1 Request: What is the thousands digit of 1342235580? Ans: 5 Request: What is the hundreds digit of 9979069? Ans: 0 Request: What is the tens digit of 82408292? Ans: 9 Request: What is the thousands digit of 39693? Ans: 9 Request: What is the tens digit of 1548423? Ans: 2 Request: What is the hundred millions digit of 999080406? Ans: 9 Request: What is the units digit of 2282? Ans: 2 Request: What is the thousands digit of 7230399? Ans: 0 Request: What is the tens digit of 569? Ans: 6 Request: What is the millions digit of 6598778862? Ans: 8 Request: What is the thousands digit of 4864? Ans: 4 Request: What is the hundreds digit of 3221? Ans: 2 Request: What is the hundred thousands digit of 3767134? Ans: 7 Request: What is the thousands digit of 473098104? Ans: 8 Request: What is the units digit of 7608? Ans: 8 Request: What is the tens digit of 6241? Ans: 4 Request: What is the hundred thousands digit of 422048? Ans: 4 Request: What is the hundreds digit of 955? Ans: 9 Request: What is the thousands digit of 322850? Ans: 2 Request: What is the hundred millions digit of 2813595690? Ans: 8 Request: What is the units digit of 109260? Ans: 0 Request: What is the units digit of 908118? Ans: 8 Request: What is the thousands digit of 171562? Ans: 1 Request: What is the ten thousands digit of 101409811? Ans: 0 Request: What is the thousands digit of 3761645282? Ans: 5 Request: What
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numbers: is factor ------------------ Qn: Does 22 divide 831204? Resolution: True Qn: Does 12 divide 8100? Resolution: True Qn: Is 132828875 a multiple of 420? Resolution: False Qn: Does 10110 divide 3147667620? Resolution: True Qn: Is 312004 a multiple of 14? Resolution: True Qn: Does 69 divide 541295924? Resolution: False Qn: Does 3 divide 8? Resolution: False Qn: Does 119 divide 743385027? Resolution: True Qn: Does 23 divide 20112? Resolution: False Qn: Is 20983578 a multiple of 14? Resolution: True Qn: Is 21025577 a multiple of 1472? Resolution: False Qn: Is 2218259880 a multiple of 7596? Resolution: True Qn: Is 909556604 a multiple of 58? Resolution: False Qn: Does 29 divide 2365? Resolution: False Qn: Does 1330 divide 22342670? Resolution: True Qn: Is 11 a factor of 192357? Resolution: True Qn: Is 182035 a multiple of 49? Resolution: True Qn: Is 816 a factor of 11723729? Resolution: False Qn: Does 37 divide 16206? Resolution: True Qn: Does 5 divide 20? Resolution: True Qn: Does 12 divide 1475? Resolution: False Qn: Is 2431 a multiple of 17? Resolution: True Qn: Does 13 divide 84987? Resolution: False Qn: Is 88 a multiple of 13? Resolution: False Qn: Is 4744765 a multiple of 13? Resolution: False Qn: Is 1013352895 a multiple of 469? Resolution: False Qn: Is 3750164425 a multiple of 3895? Resolution: True Qn: Is 74 a factor of 1001056? Resolution: False Qn: Is 7 a factor of 3125? Resolution: False Qn: Does 67 divide 379? Resolution: False Qn: Is 55 a factor of 14063? Resolution: False Qn: Is 1048086465 a multiple of 17? Resolution: True Qn: Is 935 a factor of 937818090? Resolution: True Qn: Is 46514104 a multiple of 238? Resolution: False Qn: Is 1160 a multiple of 10? Resolution: True Qn: Is 1510289 a multiple of 473? Resolution: True Qn: Is 117 a factor of 2106? Resolution: True Qn: Does 5 divide 2795? Resolution: True Qn: Is 512833 a multiple of 3? Resolution: False Qn: Is 17 a factor of 1428? Resolution: True Qn: Is 12069136 a multiple of 16? Resolution: True
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numbers: gcd ------------ Task: What is the highest common factor of 650 and 30238? Response: 26 Task: Calculate the greatest common divisor of 144 and 162. Response: 18 Task: Calculate the highest common factor of 22723498 and 28. Response: 14 Task: What is the greatest common divisor of 4026415 and 31861? Response: 151 Task: Calculate the greatest common divisor of 24 and 16. Response: 8 Task: Calculate the greatest common factor of 32550 and 1529199. Response: 651 Task: What is the greatest common divisor of 910972733 and 11? Response: 11 Task: Calculate the greatest common factor of 208651525 and 4190. Response: 2095 Task: What is the highest common factor of 95655 and 875595? Response: 105 Task: What is the highest common divisor of 75060 and 417? Response: 417 Task: Calculate the greatest common factor of 20 and 160746070. Response: 10 Task: What is the greatest common factor of 110 and 1309? Response: 11 Task: Calculate the greatest common divisor of 1506 and 6416062. Response: 502 Task: What is the greatest common divisor of 67791 and 8142? Response: 177 Task: Calculate the highest common divisor of 10125 and 125. Response: 125 Task: What is the greatest common factor of 114 and 2907? Response: 57 Task: Calculate the highest common factor of 9232 and 128. Response: 16 Task: Calculate the highest common factor of 11370 and 40. Response: 10 Task: What is the greatest common factor of 350 and 658? Response: 14 Task: What is the greatest common divisor of 3551 and 229877? Response: 67 Task: Calculate the highest common divisor of 105 and 75. Response: 15 Task: Calculate the greatest common factor of 458 and 29402684. Response: 458 Task: What is the greatest common factor of 156 and 12? Response: 12 Task: Calculate the greatest common factor of 2834 and 338. Response: 26 Task: Calculate the highest common factor of 1106 and 1526. Response: 14 Task: What is the greatest common divisor of 95004 and 26? Response: 26 Task: What is the highest common factor of 35760 a
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probability: swr p level set ---------------------------- Prompt: What is prob of picking 1 m and 1 v when two letters picked without replacement from {k: 1, v: 1, s: 1, f: 2, m: 2, l: 1}? Outcome: 1/14 Prompt: Calculate prob of picking 4 h when four letters picked without replacement from {v: 1, h: 17}. Outcome: 7/9 Prompt: Three letters picked without replacement from kssysbsssksybbnskobo. What is prob of picking 1 b and 2 s? Outcome: 28/285 Prompt: Calculate prob of picking 1 x, 1 l, and 2 r when four letters picked without replacement from fzlxrrb. Outcome: 1/35 Prompt: Two letters picked without replacement from omqojxn. Give prob of picking 1 j and 1 m. Outcome: 1/21 Prompt: Two letters picked without replacement from grtxttntt. What is prob of picking 1 t and 1 r? Outcome: 5/36 Prompt: Three letters picked without replacement from {f: 7, j: 2}. What is prob of picking 3 f? Outcome: 5/12 Prompt: What is prob of picking 1 o and 3 m when four letters picked without replacement from {o: 1, f: 6, g: 1, m: 7}? Outcome: 1/39 Prompt: Four letters picked without replacement from {r: 2, x: 1, s: 1, k: 1, j: 1, l: 1}. What is prob of picking 1 r, 1 x, 1 s, and 1 j? Outcome: 2/35 Prompt: Two letters picked without replacement from ppppeepzpjjpspz. What is prob of picking 2 e? Outcome: 1/105 Prompt: What is prob of picking 1 m and 1 u when two letters picked without replacement from uhmuumuuuumuhuuumhh? Outcome: 44/171 Prompt: Two letters picked without replacement from {l: 5, k: 5}. Give prob of picking 1 l and 1 k. Outcome: 5/9 Prompt: Calculate prob of picking 2 k, 1 l, and 1 n when four letters picked without replacement from oolkooooklno. Outcome: 2/495 Prompt: Three letters picked without replacement from {u: 2, n: 1, k: 1, s: 1, o: 2}. Give prob of picking 1 k, 1 o, and 1 s. Outcome: 2/35 Prompt: Calculate prob of picking 2 k and 2 j when four letters picked without replacement from {j: 2, k: 3, x: 5}. Outcome: 1/70 Prompt: Three letters picked without replacement
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measurement: time ----------------- Subquestion: How many minutes are there between 1:59 PM and 3:27 PM? Response: 88 Subquestion: How many minutes are there between 6:22 AM and 6:58 AM? Response: 36 Subquestion: How many minutes are there between 6:25 AM and 7:05 AM? Response: 40 Subquestion: How many minutes are there between 11:17 AM and 6:50 PM? Response: 453 Subquestion: How many minutes are there between 2:39 PM and 3:28 PM? Response: 49 Subquestion: What is 320 minutes before 3:49 PM? Response: 10:29 AM Subquestion: What is 617 minutes before 3:56 AM? Response: 5:39 PM Subquestion: How many minutes are there between 1:24 PM and 6:44 PM? Response: 320 Subquestion: What is 69 minutes before 1:00 AM? Response: 11:51 PM Subquestion: How many minutes are there between 5:31 PM and 1:53 AM? Response: 502 Subquestion: How many minutes are there between 2:21 PM and 12:57 AM? Response: 636 Subquestion: What is 6 minutes after 1:59 PM? Response: 2:05 PM Subquestion: How many minutes are there between 11:41 PM and 7:07 AM? Response: 446 Subquestion: What is 581 minutes before 9:28 PM? Response: 11:47 AM Subquestion: What is 646 minutes after 6:02 PM? Response: 4:48 AM Subquestion: How many minutes are there between 11:16 AM and 12:16 PM? Response: 60 Subquestion: How many minutes are there between 7:57 AM and 5:40 PM? Response: 583 Subquestion: What is 115 minutes after 9:40 PM? Response: 11:35 PM Subquestion: What is 408 minutes before 5:27 AM? Response: 10:39 PM Subquestion: What is 530 minutes after 8:07 PM? Response: 4:57 AM Subquestion: What is 636 minutes after 10:50 AM? Response: 9:26 PM Subquestion: What is 493 minutes before 3:40 AM? Response: 7:27 PM Subquestion: How many minutes are there between 1:50 AM and 11:55 AM? Response: 605 Subquestion: How many minutes are there between 5:43 PM and 8:22 PM? Response: 159 Subquestion: What is 627 minutes after 11:34 AM? Response: 10:01 PM Subquestion: What is 423 minutes before 1:43 PM? Response: 6:40 AM Subquestion: H
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measurement: time ----------------- Prompt: What is 663 minutes before 6:00 PM? Final Answer: 6:57 AM Prompt: What is 443 minutes after 7:33 PM? Final Answer: 2:56 AM Prompt: How many minutes are there between 6:02 PM and 3:59 AM? Final Answer: 597 Prompt: What is 687 minutes before 1:44 AM? Final Answer: 2:17 PM Prompt: What is 223 minutes before 12:32 AM? Final Answer: 8:49 PM Prompt: What is 583 minutes before 5:50 PM? Final Answer: 8:07 AM Prompt: How many minutes are there between 8:38 AM and 9:14 AM? Final Answer: 36 Prompt: How many minutes are there between 11:41 PM and 12:52 AM? Final Answer: 71 Prompt: What is 556 minutes after 11:38 PM? Final Answer: 8:54 AM Prompt: What is 609 minutes after 5:58 PM? Final Answer: 4:07 AM Prompt: What is 53 minutes after 9:19 AM? Final Answer: 10:12 AM Prompt: What is 576 minutes before 2:57 PM? Final Answer: 5:21 AM Prompt: What is 517 minutes before 6:54 AM? Final Answer: 10:17 PM Prompt: How many minutes are there between 1:57 AM and 4:58 AM? Final Answer: 181 Prompt: What is 181 minutes before 4:10 PM? Final Answer: 1:09 PM Prompt: How many minutes are there between 9:37 PM and 12:09 AM? Final Answer: 152 Prompt: How many minutes are there between 12:15 AM and 9:28 AM? Final Answer: 553 Prompt: What is 502 minutes before 3:27 AM? Final Answer: 7:05 PM Prompt: How many minutes are there between 3:34 PM and 3:13 AM? Final Answer: 699 Prompt: What is 42 minutes after 12:04 PM? Final Answer: 12:46 PM Prompt: What is 662 minutes before 7:39 AM? Final Answer: 8:37 PM Prompt: What is 576 minutes after 8:06 PM? Final Answer: 5:42 AM Prompt: What is 408 minutes after 4:00 PM? Final Answer: 10:48 PM Prompt: What is 76 minutes after 4:44 AM? Final Answer: 6:00 AM Prompt: What is 496 minutes before 7:56 PM? Final Answer: 11:40 AM Prompt: What is 35 minutes before 5:53 PM? Final Answer: 5:18 PM Prompt: How many minutes are there between 6:47 PM and 3:45 AM? Final Answer: 538 Prompt: What is 708 minutes before 1:59 PM? Final Answer
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arithmetic: nearest integer root -------------------------------- Question: What is 285107 to the power of 1/9, to the nearest integer? Response: 4 Question: What is 2822854 to the power of 1/3, to the nearest integer? Response: 141 Question: What is the third root of 192636854 to the nearest integer? Response: 578 Question: What is 86449430 to the power of 1/6, to the nearest integer? Response: 21 Question: What is 159972 to the power of 1/2, to the nearest integer? Response: 400 Question: What is the cube root of 3261022844 to the nearest integer? Response: 1483 Question: What is the eighth root of 4849084115 to the nearest integer? Response: 16 Question: What is the cube root of 1592508631 to the nearest integer? Response: 1168 Question: What is the square root of 547451 to the nearest integer? Response: 740 Question: What is the third root of 12247817 to the nearest integer? Response: 231 Question: What is the cube root of 6263 to the nearest integer? Response: 18 Question: What is the fourth root of 1260 to the nearest integer? Response: 6 Question: What is the square root of 40522 to the nearest integer? Response: 201 Question: What is 37863290 to the power of 1/3, to the nearest integer? Response: 336 Question: What is 1312755 to the power of 1/3, to the nearest integer? Response: 109 Question: What is the third root of 276827225 to the nearest integer? Response: 652 Question: What is 27408 to the power of 1/9, to the nearest integer? Response: 3 Question: What is 10296360 to the power of 1/7, to the nearest integer? Response: 10 Question: What is the tenth root of 70663 to the nearest integer? Response: 3 Question: What is the square root of 1961525994 to the nearest integer? Response: 44289 Question: What is 18250 to the power of 1/3, to the nearest integer? Response: 26 Question: What is 2503693798 to the power of 1/2, to the nearest integer? Response: 50037 Question: What is 7170883 to the power of 1/6, to the nearest integer? Response: 14 Question: What
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numbers: gcd ------------ Part A: What is the highest common factor of 30 and 15070? A.: 10 Part A: Calculate the highest common divisor of 548397671 and 23. A.: 23 Part A: What is the highest common divisor of 141876 and 189? A.: 63 Part A: What is the greatest common factor of 140 and 3430? A.: 70 Part A: What is the highest common factor of 203 and 72947? A.: 7 Part A: What is the greatest common divisor of 113 and 31753? A.: 113 Part A: Calculate the greatest common factor of 3116 and 129560164. A.: 3116 Part A: What is the greatest common divisor of 106 and 13886? A.: 106 Part A: What is the highest common divisor of 7854 and 25147318? A.: 238 Part A: Calculate the highest common factor of 8272 and 22919644. A.: 2068 Part A: What is the greatest common factor of 45019 and 4422251? A.: 3463 Part A: Calculate the highest common factor of 47641590 and 1476. A.: 738 Part A: Calculate the highest common factor of 1360593930 and 807. A.: 807 Part A: What is the greatest common factor of 155 and 160? A.: 5 Part A: Calculate the highest common divisor of 135 and 5. A.: 5 Part A: Calculate the greatest common divisor of 5505381 and 1512. A.: 189 Part A: Calculate the greatest common divisor of 12 and 2312. A.: 4 Part A: Calculate the highest common divisor of 1150 and 30. A.: 10 Part A: Calculate the greatest common factor of 111780 and 62880. A.: 60 Part A: What is the greatest common factor of 30124 and 168164? A.: 68 Part A: What is the highest common divisor of 495 and 30? A.: 15 Part A: Calculate the highest common factor of 3417 and 3294792. A.: 201 Part A: Calculate the greatest common factor of 70 and 406. A.: 14 Part A: What is the highest common divisor of 61 and 21289? A.: 61 Part A: Calculate the highest common divisor of 2286 and 160782. A.: 762 Part A: Calculate the greatest common divisor of 2754 and 782442. A.: 306 Part A: What is the greatest common divisor of 141272 and 16? A.: 8 Part A: What is the highest common factor of 26843 and 9894014? A.: 1579
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probability: swr p sequence --------------------------- Query: Calculate prob of sequence gzzg when four letters picked without replacement from {g: 3, z: 8, m: 2, b: 3}. Key: 1/130 Query: Calculate prob of sequence wui when three letters picked without replacement from ixluxuiiwxu. Key: 1/110 Query: Calculate prob of sequence xg when two letters picked without replacement from kqqxgqqkgkgxqkq. Key: 1/35 Query: What is prob of sequence wyyw when four letters picked without replacement from wxxxxxxyxywxxxxxw? Key: 1/4760 Query: What is prob of sequence fkk when three letters picked without replacement from fhfwfhxfkxfmfkxfx? Key: 7/2040 Query: Calculate prob of sequence ox when two letters picked without replacement from {k: 1, h: 1, o: 1, m: 2, x: 1, n: 1}. Key: 1/42 Query: Three letters picked without replacement from eessefmemmemesmfes. What is prob of sequence fmf? Key: 5/2448 Query: Two letters picked without replacement from {k: 4, f: 1, r: 2, u: 6, e: 3, c: 2}. What is prob of sequence er? Key: 1/51 Query: What is prob of sequence ccc when three letters picked without replacement from cccccccsccccccc? Key: 4/5 Query: Calculate prob of sequence ic when two letters picked without replacement from {i: 3, c: 2}. Key: 3/10 Query: Four letters picked without replacement from ddmmmmddmmdddmmm. What is prob of sequence ddmd? Key: 9/208 Query: Three letters picked without replacement from {o: 6, v: 3, h: 6, p: 4}. What is prob of sequence vho? Key: 6/323 Query: Two letters picked without replacement from kkkkkkjjkkjjjkkjjjkj. What is prob of sequence kj? Key: 99/380 Query: Calculate prob of sequence gqq when three letters picked without replacement from qgggqqqqqgggqgqq. Key: 3/20 Query: Calculate prob of sequence ysrf when four letters picked without replacement from sfszyysyrsr. Key: 1/330 Query: Calculate prob of sequence jsss when four letters picked without replacement from ussuuuujjtjjututj. Key: 0 Query: Calculate prob of sequence kkkk when four letters picked w
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arithmetic: nearest integer root -------------------------------- Exercise: What is the cube root of 155052313 to the nearest integer? Sol: 537 Exercise: What is the third root of 89056 to the nearest integer? Sol: 45 Exercise: What is the eighth root of 11933316 to the nearest integer? Sol: 8 Exercise: What is 28675760 to the power of 1/3, to the nearest integer? Sol: 306 Exercise: What is 2082669885 to the power of 1/2, to the nearest integer? Sol: 45636 Exercise: What is 17324 to the power of 1/3, to the nearest integer? Sol: 26 Exercise: What is the third root of 935 to the nearest integer? Sol: 10 Exercise: What is the cube root of 124195 to the nearest integer? Sol: 50 Exercise: What is 123002464 to the power of 1/3, to the nearest integer? Sol: 497 Exercise: What is 192493330 to the power of 1/3, to the nearest integer? Sol: 577 Exercise: What is the eighth root of 14703 to the nearest integer? Sol: 3 Exercise: What is 5313938 to the power of 1/5, to the nearest integer? Sol: 22 Exercise: What is the sixth root of 1175 to the nearest integer? Sol: 3 Exercise: What is 1801845405 to the power of 1/2, to the nearest integer? Sol: 42448 Exercise: What is 413600 to the power of 1/2, to the nearest integer? Sol: 643 Exercise: What is the fourth root of 46799 to the nearest integer? Sol: 15 Exercise: What is the cube root of 591053360 to the nearest integer? Sol: 839 Exercise: What is the third root of 10392 to the nearest integer? Sol: 22 Exercise: What is 3027303 to the power of 1/3, to the nearest integer? Sol: 145 Exercise: What is the cube root of 863516 to the nearest integer? Sol: 95 Exercise: What is 55943 to the power of 1/2, to the nearest integer? Sol: 237 Exercise: What is 35488 to the power of 1/3, to the nearest integer? Sol: 33 Exercise: What is the cube root of 571644200 to the nearest integer? Sol: 830 Exercise: What is 40992 to the power of 1/4, to the nearest integer? Sol: 14 Exercise: What is 852 to the power of 1/10, to the nearest integer? Sol:
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numbers: div remainder ---------------------- Given: Calculate the remainder when 669 is divided by 189. Resolution: 102 Given: Calculate the remainder when 3116013 is divided by 19971. Resolution: 537 Given: What is the remainder when 46132 is divided by 1153? Resolution: 12 Given: What is the remainder when 1012156 is divided by 6103? Resolution: 5161 Given: What is the remainder when 374 is divided by 54? Resolution: 50 Given: Calculate the remainder when 272 is divided by 13. Resolution: 12 Given: Calculate the remainder when 94 is divided by 24. Resolution: 22 Given: Calculate the remainder when 147334 is divided by 312. Resolution: 70 Given: Calculate the remainder when 93230 is divided by 7167. Resolution: 59 Given: Calculate the remainder when 134 is divided by 48. Resolution: 38 Given: What is the remainder when 344 is divided by 29? Resolution: 25 Given: Calculate the remainder when 300 is divided by 269. Resolution: 31 Given: Calculate the remainder when 47314 is divided by 26. Resolution: 20 Given: Calculate the remainder when 37 is divided by 15. Resolution: 7 Given: Calculate the remainder when 704 is divided by 15. Resolution: 14 Given: What is the remainder when 1716 is divided by 2? Resolution: 0 Given: Calculate the remainder when 134 is divided by 51. Resolution: 32 Given: What is the remainder when 61 is divided by 16? Resolution: 13 Given: Calculate the remainder when 4994869 is divided by 1. Resolution: 0 Given: Calculate the remainder when 892 is divided by 179. Resolution: 176 Given: Calculate the remainder when 1047 is divided by 158. Resolution: 99 Given: Calculate the remainder when 1120 is divided by 125. Resolution: 120 Given: Calculate the remainder when 399 is divided by 125. Resolution: 24 Given: Calculate the remainder when 179 is divided by 48. Resolution: 35 Given: What is the remainder when 190906 is divided by 2245? Resolution: 81 Given: Calculate the remainder when 3088 is divided by 64. Resolution: 16 Given: What is the remaind
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numbers: gcd ------------ Query: What is the highest common factor of 18 and 1154134287? Derivation: 9 Query: What is the greatest common divisor of 336 and 96? Derivation: 48 Query: Calculate the highest common factor of 94362 and 1614. Derivation: 6 Query: What is the highest common factor of 6762812 and 84? Derivation: 28 Query: Calculate the greatest common divisor of 3051 and 18. Derivation: 9 Query: Calculate the highest common factor of 855216 and 612. Derivation: 36 Query: What is the highest common divisor of 28740 and 579621135? Derivation: 7185 Query: What is the highest common divisor of 210830040 and 8100? Derivation: 1620 Query: What is the highest common factor of 12446 and 81298? Derivation: 14 Query: What is the highest common divisor of 406 and 30352? Derivation: 14 Query: Calculate the greatest common divisor of 79 and 3361299979. Derivation: 79 Query: What is the highest common factor of 24 and 21? Derivation: 3 Query: What is the greatest common factor of 419728 and 222? Derivation: 74 Query: Calculate the highest common divisor of 7218 and 59688. Derivation: 18 Query: What is the highest common divisor of 21804 and 444? Derivation: 12 Query: What is the highest common factor of 113620 and 28652? Derivation: 988 Query: What is the greatest common factor of 14726 and 48158? Derivation: 398 Query: What is the highest common divisor of 650 and 239850? Derivation: 650 Query: Calculate the highest common divisor of 1530295 and 325. Derivation: 65 Query: What is the highest common factor of 5763 and 791? Derivation: 113 Query: What is the greatest common divisor of 129534 and 474? Derivation: 6 Query: Calculate the greatest common divisor of 545 and 11009. Derivation: 109 Query: What is the highest common divisor of 64 and 8? Derivation: 8 Query: Calculate the highest common factor of 105 and 120. Derivation: 15 Query: Calculate the highest common divisor of 24945041 and 253. Derivation: 253 Query: What is the greatest common divisor of 44975 and 3510
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numbers: place value -------------------- Problem: What is the hundreds digit of 2422? = : 4 Problem: What is the millions digit of 14245713? = : 4 Problem: What is the units digit of 119? = : 9 Problem: What is the hundreds digit of 21737? = : 7 Problem: What is the units digit of 3255? = : 5 Problem: What is the units digit of 46594? = : 4 Problem: What is the thousands digit of 1025? = : 1 Problem: What is the hundreds digit of 28344? = : 3 Problem: What is the hundreds digit of 776? = : 7 Problem: What is the ten millions digit of 4292859955? = : 9 Problem: What is the thousands digit of 11774? = : 1 Problem: What is the thousands digit of 1410906? = : 0 Problem: What is the units digit of 3028982011? = : 1 Problem: What is the units digit of 46440? = : 0 Problem: What is the units digit of 1263695? = : 5 Problem: What is the tens digit of 155951225? = : 2 Problem: What is the tens digit of 509? = : 0 Problem: What is the hundred thousands digit of 203206781? = : 2 Problem: What is the hundred thousands digit of 67207612? = : 2 Problem: What is the hundreds digit of 7204? = : 2 Problem: What is the units digit of 280? = : 0 Problem: What is the thousands digit of 1762889? = : 2 Problem: What is the hundreds digit of 13718170? = : 1 Problem: What is the tens digit of 1465? = : 6 Problem: What is the tens digit of 61? = : 6 Problem: What is the thousands digit of 24723? = : 4 Problem: What is the tens digit of 6650? = : 5 Problem: What is the ten thousands digit of 6166126? = : 6 Problem: What is the tens digit of 9064? = : 6 Problem: What is the ten thousands digit of 1394314232? = : 1 Problem: What is the units digit of 1731250? = : 0 Problem: What is the billions digit of 1732933990? = : 1 Problem: What is the thousands digit of 70303? = : 0 Problem: What is the hundreds digit of 1370265? = : 2 Problem: What is the tens digit of 2788357? = : 5 Problem: What is the ten thousands digit of 55779? = : 5 Problem: What is the tens digit of 2810? = : 1 Problem: What i
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numbers: gcd ------------ Request: Calculate the highest common divisor of 144 and 48. Interpretation: 48 Request: Calculate the greatest common factor of 33830 and 68. Interpretation: 34 Request: Calculate the highest common factor of 6027150 and 19550. Interpretation: 1150 Request: Calculate the greatest common divisor of 740044455 and 2007. Interpretation: 669 Request: What is the highest common divisor of 255 and 105? Interpretation: 15 Request: Calculate the greatest common divisor of 2 and 861913. Interpretation: 1 Request: Calculate the highest common divisor of 781 and 71. Interpretation: 71 Request: Calculate the greatest common factor of 56771 and 3289. Interpretation: 143 Request: What is the greatest common factor of 23 and 118038369? Interpretation: 23 Request: Calculate the highest common factor of 108 and 799056. Interpretation: 36 Request: Calculate the greatest common factor of 791 and 30618. Interpretation: 7 Request: Calculate the highest common divisor of 1007802 and 125712. Interpretation: 162 Request: What is the greatest common factor of 524402 and 632? Interpretation: 158 Request: What is the greatest common factor of 398763735 and 95? Interpretation: 95 Request: What is the greatest common divisor of 351 and 65? Interpretation: 13 Request: Calculate the highest common divisor of 4602611 and 104. Interpretation: 13 Request: What is the highest common factor of 375401 and 131024? Interpretation: 431 Request: Calculate the greatest common factor of 42 and 58. Interpretation: 2 Request: Calculate the highest common divisor of 6356 and 1222622. Interpretation: 454 Request: Calculate the highest common divisor of 74 and 8917. Interpretation: 37 Request: Calculate the greatest common divisor of 2829 and 1074261. Interpretation: 69 Request: What is the greatest common factor of 338 and 52? Interpretation: 26 Request: What is the highest common divisor of 2510408 and 8136? Interpretation: 904 Request: What is the greatest common divisor of 92429 and
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numbers: gcd ------------ Q: What is the highest common factor of 86779 and 12144? = : 253 Q: What is the greatest common divisor of 60 and 8850? = : 30 Q: Calculate the greatest common divisor of 110 and 187220. = : 110 Q: Calculate the greatest common divisor of 30 and 330. = : 30 Q: Calculate the greatest common factor of 3200 and 2300. = : 100 Q: What is the highest common factor of 7350 and 4318566? = : 294 Q: Calculate the greatest common factor of 18 and 846. = : 18 Q: Calculate the greatest common divisor of 37 and 1553. = : 1 Q: Calculate the greatest common factor of 27 and 1531314. = : 9 Q: Calculate the greatest common divisor of 25807 and 46112. = : 131 Q: Calculate the highest common factor of 432 and 4248. = : 72 Q: What is the greatest common factor of 5916406 and 58? = : 58 Q: What is the highest common divisor of 162064 and 1534736? = : 112 Q: Calculate the greatest common divisor of 770 and 121. = : 11 Q: Calculate the greatest common divisor of 129538 and 1434. = : 478 Q: Calculate the highest common divisor of 1565505 and 800280. = : 855 Q: Calculate the greatest common divisor of 1148574 and 86478. = : 1218 Q: What is the greatest common divisor of 1422929 and 304? = : 19 Q: Calculate the greatest common factor of 36 and 9432. = : 36 Q: Calculate the greatest common divisor of 231 and 10131. = : 33 Q: Calculate the highest common divisor of 10 and 145. = : 5 Q: Calculate the highest common divisor of 516300 and 2400. = : 300 Q: Calculate the highest common divisor of 2688 and 11328. = : 192 Q: What is the highest common divisor of 63 and 61929? = : 63 Q: Calculate the highest common divisor of 15 and 30. = : 15 Q: Calculate the highest common factor of 5528519 and 1343. = : 17 Q: Calculate the greatest common factor of 2213882 and 5665. = : 1133 Q: Calculate the greatest common factor of 54408371 and 48227. = : 1663 Q: What is the greatest common factor of 17 and 289? = : 17 Q: What is the greatest common factor of 12063064 and 7072? = : 1768 Q
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probability: swr p level set ---------------------------- Math Q: Two letters picked without replacement from lnn. What is prob of picking 1 n and 1 l? Workthrough: 2/3 Math Q: Two letters picked without replacement from {u: 1, k: 1, v: 1, m: 2, q: 1, r: 2}. Give prob of picking 2 m. Workthrough: 1/28 Math Q: Three letters picked without replacement from xjjjxjxjjjj. What is prob of picking 1 x and 2 j? Workthrough: 28/55 Math Q: Two letters picked without replacement from {g: 1, r: 2, m: 2}. What is prob of picking 2 m? Workthrough: 1/10 Math Q: Four letters picked without replacement from trtttteettrmttmemert. Give prob of picking 1 e and 3 t. Workthrough: 32/323 Math Q: What is prob of picking 2 t and 2 y when four letters picked without replacement from {y: 12, t: 3}? Workthrough: 66/455 Math Q: Four letters picked without replacement from {p: 4, s: 5, b: 4, v: 2, m: 1}. What is prob of picking 1 b, 1 m, 1 v, and 1 s? Workthrough: 2/91 Math Q: What is prob of picking 1 r, 1 p, and 1 c when three letters picked without replacement from npcrrnrnnpcppnn? Workthrough: 24/455 Math Q: Two letters picked without replacement from ddzdvdpe. What is prob of picking 1 v and 1 p? Workthrough: 1/28 Math Q: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, h: 7, q: 5, m: 1, g: 3}. Workthrough: 1/57 Math Q: Two letters picked without replacement from zbytp. What is prob of picking 1 p and 1 b? Workthrough: 1/10 Math Q: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from wwzpewsenenweepeww. Workthrough: 4/17 Math Q: Calculate prob of picking 2 w when two letters picked without replacement from {w: 5, j: 15}. Workthrough: 1/19 Math Q: Calculate prob of picking 2 y when two letters picked without replacement from {b: 1, x: 7, y: 2, z: 2, v: 5, i: 3}. Workthrough: 1/190 Math Q: Two letters picked without replacement from hmmtthhhhhzhh. Give prob of picking 1 t and 1 m. Workthrough: 2/39 Math Q: Two letters pick
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probability: swr p level set ---------------------------- Exercise: What is prob of picking 1 t and 1 x when two letters picked without replacement from bwwtwwxwbwwwwwwww? Thus: 1/136 Exercise: Four letters picked without replacement from {k: 6, s: 13}. What is prob of picking 3 s and 1 k? Thus: 143/323 Exercise: What is prob of picking 1 d and 2 e when three letters picked without replacement from dsexxsdsxdxdxxxxex? Thus: 1/204 Exercise: What is prob of picking 3 x when three letters picked without replacement from {l: 2, x: 6}? Thus: 5/14 Exercise: Two letters picked without replacement from {g: 1, s: 1, z: 1, l: 2, c: 1, f: 1}. Give prob of picking 1 c and 1 l. Thus: 2/21 Exercise: Calculate prob of picking 2 y, 1 m, and 1 c when four letters picked without replacement from ckyymyykc. Thus: 2/21 Exercise: What is prob of picking 1 g and 1 i when two letters picked without replacement from ddgiagdad? Thus: 1/18 Exercise: Calculate prob of picking 3 c when three letters picked without replacement from {g: 5, c: 11}. Thus: 33/112 Exercise: Four letters picked without replacement from {u: 2, n: 7}. What is prob of picking 4 n? Thus: 5/18 Exercise: Two letters picked without replacement from {i: 7, p: 2, m: 2, n: 6, v: 1}. Give prob of picking 1 i and 1 v. Thus: 7/153 Exercise: What is prob of picking 1 k, 1 c, and 1 i when three letters picked without replacement from {r: 2, i: 3, c: 1, k: 3, t: 7, w: 1}? Thus: 9/680 Exercise: Four letters picked without replacement from {b: 7, w: 7}. What is prob of picking 1 b and 3 w? Thus: 35/143 Exercise: What is prob of picking 1 q and 1 a when two letters picked without replacement from {u: 4, v: 1, q: 3, a: 1, n: 1, l: 4}? Thus: 3/91 Exercise: What is prob of picking 1 o and 1 h when two letters picked without replacement from hehhhcheo? Thus: 5/36 Exercise: Three letters picked without replacement from cnnpcppnn. What is prob of picking 1 p and 2 c? Thus: 1/28 Exercise: Calculate prob of picking 1 d, 1 z, and 2 e when four
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measurement: time ----------------- Math Problem: How many minutes are there between 1:15 AM and 7:15 AM? Therefore: 360 Math Problem: How many minutes are there between 7:02 AM and 8:59 AM? Therefore: 117 Math Problem: What is 135 minutes before 9:55 AM? Therefore: 7:40 AM Math Problem: How many minutes are there between 1:38 AM and 10:41 AM? Therefore: 543 Math Problem: How many minutes are there between 11:01 PM and 11:34 PM? Therefore: 33 Math Problem: What is 184 minutes before 4:28 AM? Therefore: 1:24 AM Math Problem: What is 4 minutes before 12:06 PM? Therefore: 12:02 PM Math Problem: How many minutes are there between 8:03 AM and 4:14 PM? Therefore: 491 Math Problem: What is 715 minutes before 11:18 AM? Therefore: 11:23 PM Math Problem: How many minutes are there between 4:38 PM and 2:33 AM? Therefore: 595 Math Problem: How many minutes are there between 9:11 AM and 5:35 PM? Therefore: 504 Math Problem: What is 490 minutes before 11:23 AM? Therefore: 3:13 AM Math Problem: What is 663 minutes before 4:14 PM? Therefore: 5:11 AM Math Problem: What is 514 minutes before 1:17 PM? Therefore: 4:43 AM Math Problem: How many minutes are there between 8:12 AM and 1:27 PM? Therefore: 315 Math Problem: What is 520 minutes before 2:39 AM? Therefore: 5:59 PM Math Problem: How many minutes are there between 9:58 PM and 7:18 AM? Therefore: 560 Math Problem: What is 581 minutes before 12:33 PM? Therefore: 2:52 AM Math Problem: What is 27 minutes before 3:16 AM? Therefore: 2:49 AM Math Problem: How many minutes are there between 10:36 AM and 10:19 PM? Therefore: 703 Math Problem: What is 309 minutes before 1:39 PM? Therefore: 8:30 AM Math Problem: How many minutes are there between 4:59 AM and 1:10 PM? Therefore: 491 Math Problem: How many minutes are there between 6:28 AM and 2:40 PM? Therefore: 492 Math Problem: How many minutes are there between 12:57 AM and 7:22 AM? Therefore: 385 Math Problem: What is 260 minutes before 1:30 PM? Therefore: 9:10 AM Math Problem: How many
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numbers: place value -------------------- Test item: What is the units digit of 2198? A: 8 Test item: What is the hundred thousands digit of 1303434031? A: 4 Test item: What is the hundred thousands digit of 2458790758? A: 7 Test item: What is the thousands digit of 1038620782? A: 0 Test item: What is the thousands digit of 7477? A: 7 Test item: What is the units digit of 36937416? A: 6 Test item: What is the tens digit of 329776? A: 7 Test item: What is the hundreds digit of 176998? A: 9 Test item: What is the millions digit of 1664397? A: 1 Test item: What is the ten thousands digit of 6231780? A: 3 Test item: What is the hundred thousands digit of 794958? A: 7 Test item: What is the units digit of 93567808? A: 8 Test item: What is the hundreds digit of 1964677? A: 6 Test item: What is the thousands digit of 3382105? A: 2 Test item: What is the hundreds digit of 8996? A: 9 Test item: What is the tens digit of 309697? A: 9 Test item: What is the units digit of 7082356? A: 6 Test item: What is the tens digit of 15862? A: 6 Test item: What is the hundreds digit of 600137806? A: 8 Test item: What is the hundreds digit of 1058164? A: 1 Test item: What is the hundreds digit of 3928480410? A: 4 Test item: What is the hundred thousands digit of 1811940? A: 8 Test item: What is the tens digit of 1948? A: 4 Test item: What is the ten thousands digit of 621291? A: 2 Test item: What is the hundred thousands digit of 7028118436? A: 1 Test item: What is the tens digit of 12981? A: 8 Test item: What is the millions digit of 5244064? A: 5 Test item: What is the units digit of 784715? A: 5 Test item: What is the ten millions digit of 10776371? A: 1 Test item: What is the ten thousands digit of 140608? A: 4 Test item: What is the units digit of 884205? A: 5 Test item: What is the tens digit of 16602839? A: 3 Test item: What is the billions digit of 3204877686? A: 3 Test item: What is the hundreds digit of 282765? A: 7 Test item: What is the units digit of 1407? A: 7 Test item: What
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numbers: place value -------------------- Part A: What is the units digit of 374924073? Output: 3 Part A: What is the units digit of 4253? Output: 3 Part A: What is the units digit of 3703? Output: 3 Part A: What is the ten thousands digit of 26161? Output: 2 Part A: What is the hundreds digit of 3160? Output: 1 Part A: What is the thousands digit of 10256? Output: 0 Part A: What is the hundred thousands digit of 47555898? Output: 5 Part A: What is the hundred thousands digit of 836864? Output: 8 Part A: What is the millions digit of 118223386? Output: 8 Part A: What is the tens digit of 22? Output: 2 Part A: What is the hundreds digit of 70855? Output: 8 Part A: What is the thousands digit of 9603? Output: 9 Part A: What is the ten thousands digit of 793992? Output: 9 Part A: What is the tens digit of 4348? Output: 4 Part A: What is the units digit of 1822547? Output: 7 Part A: What is the hundreds digit of 292102? Output: 1 Part A: What is the hundreds digit of 1413? Output: 4 Part A: What is the ten thousands digit of 1196568? Output: 9 Part A: What is the units digit of 689238? Output: 8 Part A: What is the hundred thousands digit of 2173779? Output: 1 Part A: What is the units digit of 88058? Output: 8 Part A: What is the units digit of 439? Output: 9 Part A: What is the ten thousands digit of 398231? Output: 9 Part A: What is the ten millions digit of 913760868? Output: 1 Part A: What is the ten millions digit of 57510766? Output: 5 Part A: What is the hundred millions digit of 171223131? Output: 1 Part A: What is the units digit of 495? Output: 5 Part A: What is the units digit of 168219? Output: 9 Part A: What is the hundred millions digit of 421880136? Output: 4 Part A: What is the thousands digit of 845683? Output: 5 Part A: What is the hundred thousands digit of 3808762? Output: 8 Part A: What is the hundreds digit of 198695? Output: 6 Part A: What is the hundreds digit of 222395? Output: 3 Part A: What is the units digit of 1305629189? Output: 9 Part A:
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probability: swr p sequence --------------------------- Exercise: What is prob of sequence nru when three letters picked without replacement from rvurogngngr? Steps: 1/165 Exercise: Two letters picked without replacement from {x: 7, d: 2, p: 1}. What is prob of sequence dp? Steps: 1/45 Exercise: Three letters picked without replacement from {s: 1, x: 2, d: 1, p: 1, g: 1, t: 2}. What is prob of sequence std? Steps: 1/168 Exercise: Three letters picked without replacement from ejlwz. What is prob of sequence wlz? Steps: 1/60 Exercise: What is prob of sequence ili when three letters picked without replacement from yyojeoiylijjlj? Steps: 1/546 Exercise: What is prob of sequence rrvv when four letters picked without replacement from ddrzdrdvdbrdvdbvdrvd? Steps: 2/1615 Exercise: Three letters picked without replacement from tttttttttttttteetttt. Give prob of sequence tet. Steps: 17/190 Exercise: Four letters picked without replacement from kkrkpkppkpccr. What is prob of sequence kcrr? Steps: 1/858 Exercise: Calculate prob of sequence stts when four letters picked without replacement from {t: 2, s: 5}. Steps: 1/21 Exercise: Three letters picked without replacement from {y: 2, q: 1, r: 2, j: 3, e: 4, a: 2}. Give prob of sequence ere. Steps: 1/91 Exercise: Two letters picked without replacement from mmmemmmmimmmem. What is prob of sequence me? Steps: 11/91 Exercise: Calculate prob of sequence zx when two letters picked without replacement from {z: 7, x: 7}. Steps: 7/26 Exercise: What is prob of sequence nff when three letters picked without replacement from nfnhhnnnnnf? Steps: 7/495 Exercise: What is prob of sequence llf when three letters picked without replacement from {f: 5, l: 2}? Steps: 1/21 Exercise: Calculate prob of sequence eee when three letters picked without replacement from eeeeeee. Steps: 1 Exercise: Calculate prob of sequence eqe when three letters picked without replacement from {e: 11, q: 2}. Steps: 5/39 Exercise: Three letters picked without replacement fro
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numbers: is prime ----------------- Let: Is 309241 prime? Solution: True Let: Is 50763 composite? Solution: True Let: Is 7850027 composite? Solution: True Let: Is 3294791 composite? Solution: False Let: Is 668139833 composite? Solution: False Let: Is 34354563 prime? Solution: False Let: Is 1084981 prime? Solution: True Let: Is 456638783 a prime number? Solution: True Let: Is 5870167 a prime number? Solution: True Let: Is 13572661 composite? Solution: False Let: Is 66669500299 prime? Solution: True Let: Is 1900831 a composite number? Solution: False Let: Is 356341 prime? Solution: False Let: Is 67603224127 composite? Solution: True Let: Is 64211 composite? Solution: True Let: Is 14217609782 composite? Solution: True Let: Is 4545717653 composite? Solution: False Let: Is 2333 composite? Solution: False Let: Is 8713235 prime? Solution: False Let: Is 34292442739 a prime number? Solution: False Let: Is 695885977 prime? Solution: True Let: Is 22550343663 composite? Solution: True Let: Is 456283 a composite number? Solution: False Let: Is 60861 a composite number? Solution: True Let: Is 179014919 a prime number? Solution: False Let: Is 65052618889 composite? Solution: False Let: Is 896681033 a composite number? Solution: True Let: Is 17894779 a composite number? Solution: True Let: Is 3140509 a composite number? Solution: True Let: Is 24951090827 a prime number? Solution: False Let: Is 1672128271 a prime number? Solution: False Let: Is 118011348919 a composite number? Solution: True Let: Is 10079466581 a composite number? Solution: False Let: Is 1196971943 a prime number? Solution: False Let: Is 32141 a composite number? Solution: False Let: Is 739903 composite? Solution: True Let: Is 19017332801 composite? Solution: True Let: Is 348137911117 a prime number? Solution: True Let: Is 8117 prime? Solution: True Let: Is 353327 a composite number? Solution: True Let: Is 23117 composite? Solution: False Let: Is 62192833 a composite number? Solution: True Let: Is 96257780327 prime?
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numbers: gcd ------------ Conundrum: Calculate the greatest common divisor of 321 and 3317. A: 107 Conundrum: Calculate the greatest common divisor of 2620 and 29999. A: 131 Conundrum: What is the highest common divisor of 602 and 430? A: 86 Conundrum: Calculate the highest common factor of 370 and 10. A: 10 Conundrum: Calculate the greatest common factor of 56644 and 1445. A: 289 Conundrum: Calculate the greatest common factor of 3193 and 31. A: 31 Conundrum: Calculate the greatest common divisor of 2 and 6367028. A: 2 Conundrum: Calculate the highest common factor of 62623 and 253. A: 11 Conundrum: What is the greatest common factor of 361 and 380? A: 19 Conundrum: Calculate the highest common divisor of 291 and 78376. A: 97 Conundrum: What is the greatest common factor of 205687877 and 43? A: 43 Conundrum: What is the highest common factor of 2719110 and 37344? A: 2334 Conundrum: What is the highest common factor of 110784 and 24? A: 24 Conundrum: Calculate the greatest common factor of 416763927 and 189. A: 27 Conundrum: What is the highest common factor of 945 and 216? A: 27 Conundrum: Calculate the greatest common divisor of 1539 and 2997. A: 81 Conundrum: Calculate the highest common factor of 4000 and 50. A: 50 Conundrum: Calculate the highest common factor of 14067 and 354280. A: 521 Conundrum: Calculate the greatest common divisor of 14 and 240646. A: 14 Conundrum: Calculate the greatest common divisor of 44024 and 8. A: 8 Conundrum: What is the highest common divisor of 387828 and 13167? A: 1197 Conundrum: What is the highest common factor of 101 and 13231? A: 101 Conundrum: What is the greatest common divisor of 111916194 and 133? A: 19 Conundrum: Calculate the highest common factor of 5 and 5735. A: 5 Conundrum: What is the greatest common factor of 1575 and 441? A: 63 Conundrum: Calculate the highest common factor of 16617121 and 1676. A: 419 Conundrum: What is the greatest common factor of 350 and 42? A: 14 Conundrum: What is the greatest common divis
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probability: swr p level set ---------------------------- Exercise: Three letters picked without replacement from wwiiiiwiww. What is prob of picking 3 w? Finding: 1/12 Exercise: Calculate prob of picking 2 p when two letters picked without replacement from bpbddbddpd. Finding: 1/45 Exercise: What is prob of picking 1 c, 1 t, and 1 g when three letters picked without replacement from {c: 2, g: 1, t: 1, f: 1, u: 1, h: 2}? Finding: 1/28 Exercise: Calculate prob of picking 2 x when two letters picked without replacement from fffxfffffffffxfffffx. Finding: 3/190 Exercise: Two letters picked without replacement from {d: 2, k: 2, w: 2, i: 4, h: 4}. Give prob of picking 2 k. Finding: 1/91 Exercise: Two letters picked without replacement from {h: 3, u: 3, r: 2, f: 3, l: 3, o: 1}. What is prob of picking 2 h? Finding: 1/35 Exercise: What is prob of picking 4 b when four letters picked without replacement from {b: 5, i: 3, v: 1}? Finding: 5/126 Exercise: Three letters picked without replacement from {b: 3, g: 1, d: 2, f: 6, s: 1, c: 2}. Give prob of picking 2 f and 1 c. Finding: 6/91 Exercise: Two letters picked without replacement from rryyrryrrrryrrrrrr. What is prob of picking 1 r and 1 y? Finding: 56/153 Exercise: Calculate prob of picking 2 h when two letters picked without replacement from {f: 1, h: 2, a: 1, o: 3}. Finding: 1/21 Exercise: Calculate prob of picking 1 v, 1 l, and 1 a when three letters picked without replacement from vaglxvx. Finding: 2/35 Exercise: Calculate prob of picking 2 a and 2 w when four letters picked without replacement from {w: 16, a: 4}. Finding: 48/323 Exercise: What is prob of picking 3 o and 1 s when four letters picked without replacement from {o: 3, s: 4, m: 5, y: 1}? Finding: 4/715 Exercise: What is prob of picking 4 u when four letters picked without replacement from {w: 6, u: 7}? Finding: 7/143 Exercise: Calculate prob of picking 1 j and 3 x when four letters picked without replacement from {d: 2, x: 5, q: 1, j: 4, o: 2}. Finding: 40/
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probability: swr p level set ---------------------------- Q/A: What is prob of picking 1 e and 1 x when two letters picked without replacement from xeueuxeueueeeuu? = : 2/15 Q/A: Two letters picked without replacement from {z: 2, s: 2, w: 1, o: 1}. What is prob of picking 1 o and 1 z? = : 2/15 Q/A: What is prob of picking 3 a when three letters picked without replacement from aiuxaxaanxziii? = : 1/91 Q/A: Calculate prob of picking 1 i, 1 d, and 1 k when three letters picked without replacement from {l: 1, d: 5, k: 2, w: 2, i: 2, o: 5}. = : 1/34 Q/A: Three letters picked without replacement from ttfttttftt. Give prob of picking 3 f. = : 0 Q/A: Three letters picked without replacement from vauawnnnwvxanavvw. Give prob of picking 2 w and 1 v. = : 3/170 Q/A: Four letters picked without replacement from usssussussssussssus. Give prob of picking 4 u. = : 5/3876 Q/A: Four letters picked without replacement from ggglllllll. Give prob of picking 3 g and 1 l. = : 1/30 Q/A: Two letters picked without replacement from {p: 1, x: 4, y: 1, w: 4}. What is prob of picking 2 x? = : 2/15 Q/A: Calculate prob of picking 1 e and 3 z when four letters picked without replacement from {e: 3, z: 12}. = : 44/91 Q/A: Two letters picked without replacement from tzttttzbm. Give prob of picking 1 b and 1 z. = : 1/18 Q/A: Two letters picked without replacement from {q: 1, c: 3}. Give prob of picking 2 c. = : 1/2 Q/A: Calculate prob of picking 1 f, 1 x, and 1 w when three letters picked without replacement from nwwnwnwnnnxnnxnfn. = : 1/85 Q/A: What is prob of picking 4 r when four letters picked without replacement from qqrrrrrrqr? = : 1/6 Q/A: Three letters picked without replacement from {p: 1, w: 2, i: 1, j: 1, k: 2}. What is prob of picking 2 w and 1 i? = : 1/35 Q/A: Two letters picked without replacement from txwytvx. What is prob of picking 1 v and 1 w? = : 1/21 Q/A: What is prob of picking 1 w and 2 q when three letters picked without replacement from {q: 3, w: 3}? = : 9/20 Q/A: Two letters
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probability: swr p level set ---------------------------- Q-: What is prob of picking 1 s and 1 x when two letters picked without replacement from yssssxsxxyxxsxs? Conclusion: 2/5 Q-: What is prob of picking 2 d when two letters picked without replacement from {e: 1, p: 2, h: 1, d: 3}? Conclusion: 1/7 Q-: Two letters picked without replacement from {i: 3, y: 3}. What is prob of picking 2 y? Conclusion: 1/5 Q-: Three letters picked without replacement from wdqwp. Give prob of picking 2 w and 1 q. Conclusion: 1/10 Q-: Two letters picked without replacement from {t: 4, l: 16}. Give prob of picking 2 l. Conclusion: 12/19 Q-: Four letters picked without replacement from eceevqeeeqeeechcv. What is prob of picking 2 c, 1 e, and 1 q? Conclusion: 27/1190 Q-: Four letters picked without replacement from umrrrmumusu. What is prob of picking 1 r, 1 s, 1 m, and 1 u? Conclusion: 6/55 Q-: What is prob of picking 3 q when three letters picked without replacement from qqqqq? Conclusion: 1 Q-: Three letters picked without replacement from vfvfvffffvvvvrvvvvf. What is prob of picking 1 r and 2 v? Conclusion: 55/969 Q-: What is prob of picking 2 w when two letters picked without replacement from {r: 1, w: 2, m: 3, k: 4, u: 2}? Conclusion: 1/66 Q-: Calculate prob of picking 4 a when four letters picked without replacement from aaakakkaak. Conclusion: 1/14 Q-: What is prob of picking 3 c and 1 n when four letters picked without replacement from {c: 7, n: 1}? Conclusion: 1/2 Q-: What is prob of picking 1 q and 2 h when three letters picked without replacement from hihiq? Conclusion: 1/10 Q-: Calculate prob of picking 2 s, 1 l, and 1 v when four letters picked without replacement from {s: 7, v: 3, m: 1, l: 1}. Conclusion: 7/55 Q-: Four letters picked without replacement from {c: 1, j: 1, q: 3, o: 3, k: 2, s: 3}. Give prob of picking 1 k, 1 s, 1 c, and 1 j. Conclusion: 6/715 Q-: Two letters picked without replacement from {c: 2, y: 3, z: 4, s: 1, w: 2}. What is prob of picking 2 y? Conclusi
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numbers: div remainder ---------------------- Statement: What is the remainder when 14534 is divided by 54? Final Answer: 8 Statement: What is the remainder when 17012 is divided by 3401? Final Answer: 7 Statement: Calculate the remainder when 14622 is divided by 168. Final Answer: 6 Statement: What is the remainder when 207 is divided by 108? Final Answer: 99 Statement: Calculate the remainder when 177 is divided by 7. Final Answer: 2 Statement: What is the remainder when 84995598 is divided by 4? Final Answer: 2 Statement: Calculate the remainder when 122016 is divided by 7. Final Answer: 6 Statement: Calculate the remainder when 292 is divided by 104. Final Answer: 84 Statement: Calculate the remainder when 6520 is divided by 2163. Final Answer: 31 Statement: Calculate the remainder when 3214 is divided by 759. Final Answer: 178 Statement: What is the remainder when 674100 is divided by 106? Final Answer: 46 Statement: What is the remainder when 360 is divided by 41? Final Answer: 32 Statement: Calculate the remainder when 90809 is divided by 1831. Final Answer: 1090 Statement: What is the remainder when 60502 is divided by 19488? Final Answer: 2038 Statement: Calculate the remainder when 609851 is divided by 21006. Final Answer: 677 Statement: Calculate the remainder when 2810550 is divided by 1404697. Final Answer: 1156 Statement: What is the remainder when 518338589 is divided by 363? Final Answer: 362 Statement: Calculate the remainder when 73592956 is divided by 5749. Final Answer: 7 Statement: What is the remainder when 3128607 is divided by 684? Final Answer: 675 Statement: Calculate the remainder when 5826 is divided by 70. Final Answer: 16 Statement: Calculate the remainder when 1282 is divided by 140. Final Answer: 22 Statement: What is the remainder when 65378 is divided by 17? Final Answer: 13 Statement: Calculate the remainder when 4021 is divided by 281. Final Answer: 87 Statement: What is the remainder when 7345 is divided by 362? Final Answer: 105
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probability: swr p sequence --------------------------- Q-: Four letters picked without replacement from wwwwwbsswxbbbwxw. What is prob of sequence xwwx? Eval: 1/390 Q-: Three letters picked without replacement from smwstsm. Give prob of sequence tws. Eval: 1/70 Q-: What is prob of sequence av when two letters picked without replacement from {t: 3, v: 2, q: 3, a: 5}? Eval: 5/78 Q-: Calculate prob of sequence akg when three letters picked without replacement from {k: 2, a: 4, g: 9, w: 3}. Eval: 1/68 Q-: Four letters picked without replacement from fffppfffpf. Give prob of sequence ppff. Eval: 1/20 Q-: Three letters picked without replacement from qqaaaaa. Give prob of sequence qaq. Eval: 1/21 Q-: Four letters picked without replacement from {v: 1, x: 4, g: 2, y: 6, o: 2}. What is prob of sequence xyyo? Eval: 2/273 Q-: Four letters picked without replacement from {b: 11, w: 3}. What is prob of sequence bwww? Eval: 1/364 Q-: Four letters picked without replacement from ooooolooloo. Give prob of sequence lolo. Eval: 1/55 Q-: Four letters picked without replacement from eeeeeeeeeeeeeeejeeej. What is prob of sequence jjee? Eval: 1/190 Q-: What is prob of sequence hh when two letters picked without replacement from {h: 5}? Eval: 1 Q-: What is prob of sequence kk when two letters picked without replacement from {t: 1, y: 4, n: 4, k: 2}? Eval: 1/55 Q-: Calculate prob of sequence rrdd when four letters picked without replacement from rryyedryryraaeydyrry. Eval: 7/9690 Q-: What is prob of sequence slg when three letters picked without replacement from {f: 2, q: 3, l: 1, g: 2, b: 5, s: 6}? Eval: 2/969 Q-: Calculate prob of sequence kjkj when four letters picked without replacement from kjjjjkjjkjj. Eval: 7/165 Q-: Calculate prob of sequence tf when two letters picked without replacement from {f: 3, t: 5, y: 2}. Eval: 1/6 Q-: Calculate prob of sequence jfm when three letters picked without replacement from {t: 1, m: 2, j: 4, f: 3, b: 4}. Eval: 1/91 Q-: Calculate prob of sequence
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measurement: time ----------------- Given: How many minutes are there between 12:42 PM and 2:45 PM? Solution: 123 Given: What is 546 minutes before 2:27 AM? Solution: 5:21 PM Given: How many minutes are there between 3:01 PM and 6:02 PM? Solution: 181 Given: What is 404 minutes before 3:02 PM? Solution: 8:18 AM Given: What is 107 minutes after 12:57 PM? Solution: 2:44 PM Given: What is 175 minutes before 7:35 AM? Solution: 4:40 AM Given: How many minutes are there between 3:26 AM and 2:12 PM? Solution: 646 Given: How many minutes are there between 12:46 PM and 1:05 PM? Solution: 19 Given: How many minutes are there between 9:11 PM and 7:21 AM? Solution: 610 Given: How many minutes are there between 9:05 PM and 12:11 AM? Solution: 186 Given: What is 388 minutes after 3:26 PM? Solution: 9:54 PM Given: What is 388 minutes after 11:57 AM? Solution: 6:25 PM Given: How many minutes are there between 1:33 PM and 3:03 PM? Solution: 90 Given: What is 303 minutes before 8:42 AM? Solution: 3:39 AM Given: What is 419 minutes before 3:24 AM? Solution: 8:25 PM Given: What is 589 minutes after 6:42 PM? Solution: 4:31 AM Given: How many minutes are there between 10:31 PM and 6:18 AM? Solution: 467 Given: What is 625 minutes before 12:49 PM? Solution: 2:24 AM Given: How many minutes are there between 11:50 AM and 7:28 PM? Solution: 458 Given: What is 97 minutes after 10:35 PM? Solution: 12:12 AM Given: What is 170 minutes before 9:35 PM? Solution: 6:45 PM Given: How many minutes are there between 7:34 AM and 9:02 AM? Solution: 88 Given: What is 176 minutes before 3:45 PM? Solution: 12:49 PM Given: How many minutes are there between 1:57 PM and 1:45 AM? Solution: 708 Given: How many minutes are there between 2:40 AM and 10:52 AM? Solution: 492 Given: What is 702 minutes after 8:49 PM? Solution: 8:31 AM Given: What is 300 minutes before 7:12 PM? Solution: 2:12 PM Given: How many minutes are there between 3:14 AM and 1:26 PM? Solution: 612 Given: How many minutes are there between 1:41
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numbers: place value -------------------- Given: What is the tens digit of 271647? Solution: 4 Given: What is the hundreds digit of 4140? Solution: 1 Given: What is the hundreds digit of 1227793? Solution: 7 Given: What is the thousands digit of 2159? Solution: 2 Given: What is the hundreds digit of 5021611234? Solution: 2 Given: What is the units digit of 2037592717? Solution: 7 Given: What is the thousands digit of 271549? Solution: 1 Given: What is the tens digit of 6906? Solution: 0 Given: What is the tens digit of 312103? Solution: 0 Given: What is the units digit of 4754? Solution: 4 Given: What is the units digit of 10482? Solution: 2 Given: What is the ten thousands digit of 565765? Solution: 6 Given: What is the hundreds digit of 126987492? Solution: 4 Given: What is the hundreds digit of 4461? Solution: 4 Given: What is the units digit of 308? Solution: 8 Given: What is the tens digit of 241? Solution: 4 Given: What is the hundred millions digit of 635960878? Solution: 6 Given: What is the millions digit of 55716409? Solution: 5 Given: What is the ten thousands digit of 2371216? Solution: 7 Given: What is the tens digit of 307241807? Solution: 0 Given: What is the ten millions digit of 209276729? Solution: 0 Given: What is the units digit of 24660? Solution: 0 Given: What is the hundred thousands digit of 1107083994? Solution: 0 Given: What is the thousands digit of 825542981? Solution: 2 Given: What is the billions digit of 1834111476? Solution: 1 Given: What is the tens digit of 194352? Solution: 5 Given: What is the thousands digit of 7328366? Solution: 8 Given: What is the tens digit of 33045? Solution: 4 Given: What is the tens digit of 5120627? Solution: 2 Given: What is the thousands digit of 850430? Solution: 0 Given: What is the thousands digit of 6375? Solution: 6 Given: What is the ten thousands digit of 180242? Solution: 8 Given: What is the tens digit of 11463? Solution: 6 Given: What is the hundred thousands digit of 13949517? Solution: 9 Giv
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probability: swr p level set ---------------------------- Q): Two letters picked without replacement from zkfpazck. What is prob of picking 1 f and 1 c? Result: 1/28 Q): What is prob of picking 4 n when four letters picked without replacement from hhhnhghnnhhhhnhhhggh? Result: 1/4845 Q): Four letters picked without replacement from ynjjhyv. Give prob of picking 1 h, 1 y, and 2 j. Result: 2/35 Q): Two letters picked without replacement from ddhd. What is prob of picking 1 d and 1 h? Result: 1/2 Q): Three letters picked without replacement from {b: 4, u: 7, f: 3, t: 1, x: 2, i: 1}. Give prob of picking 2 u and 1 b. Result: 7/68 Q): Calculate prob of picking 2 s and 2 f when four letters picked without replacement from {s: 2, f: 11}. Result: 1/13 Q): What is prob of picking 2 n when two letters picked without replacement from llnznnl? Result: 1/7 Q): Calculate prob of picking 3 b when three letters picked without replacement from {m: 4, b: 3, f: 1, t: 1, h: 2, w: 1}. Result: 1/220 Q): What is prob of picking 2 o and 1 t when three letters picked without replacement from {o: 2, i: 4, t: 3, m: 4, b: 1}? Result: 3/364 Q): Calculate prob of picking 1 v, 1 z, and 2 a when four letters picked without replacement from zvzvaavvavvv. Result: 14/165 Q): Two letters picked without replacement from mmtmmmmm. Give prob of picking 2 m. Result: 3/4 Q): Calculate prob of picking 2 o when two letters picked without replacement from ooteoto. Result: 2/7 Q): What is prob of picking 1 v and 3 a when four letters picked without replacement from {v: 7, a: 7}? Result: 35/143 Q): Calculate prob of picking 2 t when two letters picked without replacement from {t: 11, d: 2}. Result: 55/78 Q): Calculate prob of picking 2 e and 1 d when three letters picked without replacement from dudseddeu. Result: 1/21 Q): What is prob of picking 1 m and 1 f when two letters picked without replacement from mzmrzfq? Result: 2/21 Q): Three letters picked without replacement from gggppggpggg. What is prob of picki
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numbers: div remainder ---------------------- Topic: What is the remainder when 68477 is divided by 123? Result: 89 Topic: What is the remainder when 89 is divided by 14? Result: 5 Topic: Calculate the remainder when 87174 is divided by 43. Result: 13 Topic: What is the remainder when 205019 is divided by 68279? Result: 182 Topic: What is the remainder when 604 is divided by 164? Result: 112 Topic: What is the remainder when 3257 is divided by 68? Result: 61 Topic: Calculate the remainder when 1205 is divided by 26. Result: 9 Topic: Calculate the remainder when 9668 is divided by 13. Result: 9 Topic: Calculate the remainder when 16903 is divided by 19. Result: 12 Topic: Calculate the remainder when 391 is divided by 197. Result: 194 Topic: What is the remainder when 435 is divided by 88? Result: 83 Topic: What is the remainder when 32563 is divided by 36? Result: 19 Topic: Calculate the remainder when 4496 is divided by 19. Result: 12 Topic: What is the remainder when 1837970 is divided by 151? Result: 149 Topic: Calculate the remainder when 814961 is divided by 378. Result: 371 Topic: What is the remainder when 288345 is divided by 12? Result: 9 Topic: Calculate the remainder when 51 is divided by 25. Result: 1 Topic: Calculate the remainder when 25398 is divided by 18. Result: 0 Topic: Calculate the remainder when 30057540 is divided by 37. Result: 35 Topic: Calculate the remainder when 267 is divided by 42. Result: 15 Topic: Calculate the remainder when 188 is divided by 138. Result: 50 Topic: What is the remainder when 196 is divided by 67? Result: 62 Topic: Calculate the remainder when 475 is divided by 15. Result: 10 Topic: What is the remainder when 117 is divided by 26? Result: 13 Topic: What is the remainder when 1098 is divided by 20? Result: 18 Topic: What is the remainder when 28226 is divided by 168? Result: 2 Topic: Calculate the remainder when 43704 is divided by 5461. Result: 16 Topic: Calculate the remainder when 105117 is divided by 360. Result: 35
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numbers: place value -------------------- Q): What is the ten millions digit of 184580799? Answer: 8 Q): What is the hundreds digit of 76120? Answer: 1 Q): What is the hundreds digit of 53265487? Answer: 4 Q): What is the millions digit of 150737361? Answer: 0 Q): What is the ten thousands digit of 1903954? Answer: 0 Q): What is the units digit of 157257? Answer: 7 Q): What is the hundred thousands digit of 4645523? Answer: 6 Q): What is the hundreds digit of 724990? Answer: 9 Q): What is the hundreds digit of 184931? Answer: 9 Q): What is the hundreds digit of 32979381? Answer: 3 Q): What is the units digit of 171851? Answer: 1 Q): What is the tens digit of 19565? Answer: 6 Q): What is the thousands digit of 26156? Answer: 6 Q): What is the hundreds digit of 716? Answer: 7 Q): What is the tens digit of 279733814? Answer: 1 Q): What is the thousands digit of 97869? Answer: 7 Q): What is the units digit of 22705? Answer: 5 Q): What is the ten thousands digit of 668604? Answer: 6 Q): What is the thousands digit of 3328? Answer: 3 Q): What is the tens digit of 4020672? Answer: 7 Q): What is the hundreds digit of 156947906? Answer: 9 Q): What is the hundred thousands digit of 110330? Answer: 1 Q): What is the tens digit of 732365? Answer: 6 Q): What is the hundreds digit of 786034592? Answer: 5 Q): What is the tens digit of 42719? Answer: 1 Q): What is the tens digit of 92925677? Answer: 7 Q): What is the hundred thousands digit of 17796767? Answer: 7 Q): What is the tens digit of 12878? Answer: 7 Q): What is the tens digit of 46783? Answer: 8 Q): What is the ten thousands digit of 801865? Answer: 0 Q): What is the ten thousands digit of 249655? Answer: 4 Q): What is the hundreds digit of 7196018? Answer: 0 Q): What is the tens digit of 93425964? Answer: 6 Q): What is the tens digit of 13783? Answer: 8 Q): What is the thousands digit of 96582969? Answer: 2 Q): What is the tens digit of 1062? Answer: 6 Q): What is the units digit of 58319087? Answer: 7 Q): What is the mi
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numbers: gcd ------------ Problem #: Calculate the highest common divisor of 552 and 27416. = : 184 Problem #: What is the highest common divisor of 436 and 32809? = : 109 Problem #: Calculate the greatest common factor of 33 and 1419. = : 33 Problem #: What is the highest common factor of 80931 and 1018? = : 509 Problem #: What is the greatest common divisor of 2 and 128? = : 2 Problem #: What is the highest common divisor of 99 and 1177? = : 11 Problem #: Calculate the greatest common factor of 1727736 and 42. = : 6 Problem #: Calculate the highest common factor of 12 and 1088. = : 4 Problem #: What is the highest common factor of 90 and 890? = : 10 Problem #: What is the highest common divisor of 2750 and 220? = : 110 Problem #: What is the highest common factor of 95 and 506084? = : 19 Problem #: What is the greatest common factor of 35 and 140? = : 35 Problem #: Calculate the greatest common divisor of 6136 and 30775576. = : 104 Problem #: Calculate the greatest common divisor of 529 and 23. = : 23 Problem #: Calculate the greatest common factor of 117 and 2301. = : 39 Problem #: What is the highest common divisor of 273 and 129477768? = : 21 Problem #: What is the greatest common factor of 27404 and 1508? = : 52 Problem #: Calculate the highest common divisor of 244 and 671. = : 61 Problem #: Calculate the highest common factor of 875 and 35. = : 35 Problem #: What is the greatest common factor of 72 and 1656? = : 72 Problem #: What is the greatest common divisor of 112 and 240? = : 16 Problem #: Calculate the greatest common divisor of 15114 and 14. = : 2 Problem #: Calculate the greatest common factor of 42 and 812. = : 14 Problem #: What is the highest common factor of 238 and 74606? = : 14 Problem #: What is the highest common factor of 7663 and 40? = : 1 Problem #: What is the highest common factor of 10560 and 24? = : 24 Problem #: What is the greatest common divisor of 222712 and 194? = : 194 Problem #: What is the highest common factor of 50416 and 80?
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numbers: div remainder ---------------------- Task: What is the remainder when 5197521 is divided by 5197483? Math A: 38 Task: What is the remainder when 15181 is divided by 16? Math A: 13 Task: What is the remainder when 75488995 is divided by 58655? Math A: 10 Task: What is the remainder when 106161 is divided by 106084? Math A: 77 Task: Calculate the remainder when 1602 is divided by 108. Math A: 90 Task: What is the remainder when 4683 is divided by 142? Math A: 139 Task: Calculate the remainder when 321436023 is divided by 26. Math A: 25 Task: What is the remainder when 1709 is divided by 19? Math A: 18 Task: Calculate the remainder when 527 is divided by 172. Math A: 11 Task: Calculate the remainder when 168 is divided by 34. Math A: 32 Task: Calculate the remainder when 2934 is divided by 116. Math A: 34 Task: What is the remainder when 1443 is divided by 5? Math A: 3 Task: Calculate the remainder when 369378 is divided by 506. Math A: 504 Task: Calculate the remainder when 83 is divided by 43. Math A: 40 Task: What is the remainder when 289030 is divided by 1700? Math A: 30 Task: Calculate the remainder when 1517 is divided by 496. Math A: 29 Task: What is the remainder when 395572 is divided by 131856? Math A: 4 Task: What is the remainder when 62 is divided by 17? Math A: 11 Task: Calculate the remainder when 227321279 is divided by 22732126. Math A: 19 Task: Calculate the remainder when 908 is divided by 103. Math A: 84 Task: What is the remainder when 7817568 is divided by 601348? Math A: 44 Task: Calculate the remainder when 9734 is divided by 4863. Math A: 8 Task: Calculate the remainder when 288884 is divided by 24. Math A: 20 Task: What is the remainder when 100240 is divided by 13825? Math A: 3465 Task: What is the remainder when 365381 is divided by 21493? Math A: 0 Task: What is the remainder when 278484525 is divided by 92828169? Math A: 18 Task: Calculate the remainder when 44686 is divided by 109. Math A: 105 Task: Calculate the remainder when
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numbers: gcd ------------ Problem: What is the highest common divisor of 184 and 7544? Derivation: 184 Problem: What is the greatest common divisor of 41 and 1025? Derivation: 41 Problem: What is the highest common divisor of 360 and 90? Derivation: 90 Problem: Calculate the greatest common divisor of 6014 and 485. Derivation: 97 Problem: What is the greatest common factor of 448 and 321296? Derivation: 16 Problem: What is the greatest common factor of 38340 and 20? Derivation: 20 Problem: What is the greatest common factor of 38589 and 6426084? Derivation: 2031 Problem: Calculate the greatest common divisor of 887 and 20834743. Derivation: 887 Problem: What is the highest common divisor of 496 and 16? Derivation: 16 Problem: Calculate the highest common factor of 713610 and 60. Derivation: 30 Problem: What is the greatest common divisor of 99421 and 98? Derivation: 49 Problem: Calculate the greatest common divisor of 21 and 416343. Derivation: 3 Problem: What is the greatest common divisor of 22920 and 102567? Derivation: 573 Problem: Calculate the greatest common divisor of 5 and 130133800. Derivation: 5 Problem: What is the greatest common factor of 1 and 442? Derivation: 1 Problem: Calculate the highest common factor of 524 and 83488. Derivation: 4 Problem: Calculate the greatest common divisor of 110 and 9845. Derivation: 55 Problem: What is the greatest common factor of 10277742 and 4740? Derivation: 474 Problem: Calculate the highest common divisor of 5809 and 16243. Derivation: 37 Problem: What is the greatest common factor of 152 and 3114974? Derivation: 38 Problem: Calculate the greatest common divisor of 240 and 72. Derivation: 24 Problem: What is the highest common factor of 182 and 65? Derivation: 13 Problem: What is the highest common factor of 87 and 85515693? Derivation: 87 Problem: Calculate the greatest common factor of 34076 and 10242272. Derivation: 4868 Problem: Calculate the highest common divisor of 281904 and 192. Derivation: 48 Problem: Calc
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numbers: place value -------------------- Math Q: What is the thousands digit of 57727? Interpretation: 7 Math Q: What is the tens digit of 49653983? Interpretation: 8 Math Q: What is the millions digit of 8510664? Interpretation: 8 Math Q: What is the tens digit of 980? Interpretation: 8 Math Q: What is the units digit of 1001? Interpretation: 1 Math Q: What is the tens digit of 409532340? Interpretation: 4 Math Q: What is the ten millions digit of 224482823? Interpretation: 2 Math Q: What is the hundred thousands digit of 268160? Interpretation: 2 Math Q: What is the hundreds digit of 101651501? Interpretation: 5 Math Q: What is the units digit of 6765? Interpretation: 5 Math Q: What is the units digit of 42160? Interpretation: 0 Math Q: What is the ten thousands digit of 1557870? Interpretation: 5 Math Q: What is the hundred thousands digit of 3553550862? Interpretation: 5 Math Q: What is the billions digit of 1958986326? Interpretation: 1 Math Q: What is the thousands digit of 437670? Interpretation: 7 Math Q: What is the hundreds digit of 222666? Interpretation: 6 Math Q: What is the hundreds digit of 1711473? Interpretation: 4 Math Q: What is the ten thousands digit of 6842275? Interpretation: 4 Math Q: What is the tens digit of 1168? Interpretation: 6 Math Q: What is the ten thousands digit of 4083327? Interpretation: 8 Math Q: What is the hundreds digit of 242886392? Interpretation: 3 Math Q: What is the hundreds digit of 857731? Interpretation: 7 Math Q: What is the hundreds digit of 360449? Interpretation: 4 Math Q: What is the hundred millions digit of 714805727? Interpretation: 7 Math Q: What is the thousands digit of 31704? Interpretation: 1 Math Q: What is the thousands digit of 64190? Interpretation: 4 Math Q: What is the hundreds digit of 2181990899? Interpretation: 8 Math Q: What is the ten thousands digit of 254283? Interpretation: 5 Math Q: What is the units digit of 9679? Interpretation: 9 Math Q: What is the thousands digit of 223569? Interpreta
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probability: swr p sequence --------------------------- Ask: Two letters picked without replacement from {n: 3, c: 3, z: 2}. What is prob of sequence zc? Gives: 3/28 Ask: Three letters picked without replacement from {h: 1, i: 2, u: 3, f: 1}. What is prob of sequence iui? Gives: 1/35 Ask: What is prob of sequence sfj when three letters picked without replacement from fjkfwsy? Gives: 1/105 Ask: Two letters picked without replacement from cccccqcc. Give prob of sequence cq. Gives: 1/8 Ask: Calculate prob of sequence ttb when three letters picked without replacement from {b: 7, t: 6}. Gives: 35/286 Ask: Calculate prob of sequence kk when two letters picked without replacement from {m: 1, k: 19}. Gives: 9/10 Ask: Calculate prob of sequence yll when three letters picked without replacement from yyyylyllylly. Gives: 7/66 Ask: What is prob of sequence tut when three letters picked without replacement from {t: 6, u: 4}? Gives: 1/6 Ask: Calculate prob of sequence jqg when three letters picked without replacement from {d: 1, q: 3, g: 1, s: 1, j: 1}. Gives: 1/70 Ask: What is prob of sequence odjd when four letters picked without replacement from {j: 2, w: 1, d: 2, o: 1}? Gives: 1/90 Ask: What is prob of sequence ccq when three letters picked without replacement from bbbcbvouvvbcqbbbq? Gives: 1/1020 Ask: Four letters picked without replacement from ggaxolalglsgla. Give prob of sequence sggx. Gives: 1/2002 Ask: Two letters picked without replacement from {i: 2, x: 2, j: 1}. What is prob of sequence ij? Gives: 1/10 Ask: Two letters picked without replacement from {z: 1, d: 1, n: 1, a: 1, c: 1}. Give prob of sequence zd. Gives: 1/20 Ask: Calculate prob of sequence zt when two letters picked without replacement from {t: 4, n: 1, r: 2, z: 2}. Gives: 1/9 Ask: Three letters picked without replacement from ommmjqqojqqmpjoj. Give prob of sequence mmo. Gives: 3/280 Ask: What is prob of sequence rsh when three letters picked without replacement from {s: 1, i: 1, r: 1, h: 1, y: 1}? Gives:
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numbers: place value -------------------- Inquiry: What is the hundreds digit of 694? Ans: 6 Inquiry: What is the ten thousands digit of 409772? Ans: 0 Inquiry: What is the millions digit of 18358239? Ans: 8 Inquiry: What is the hundreds digit of 131638? Ans: 6 Inquiry: What is the thousands digit of 739509? Ans: 9 Inquiry: What is the thousands digit of 795331? Ans: 5 Inquiry: What is the thousands digit of 1569390? Ans: 9 Inquiry: What is the hundreds digit of 3515? Ans: 5 Inquiry: What is the hundreds digit of 3729? Ans: 7 Inquiry: What is the hundreds digit of 1271? Ans: 2 Inquiry: What is the thousands digit of 1379? Ans: 1 Inquiry: What is the thousands digit of 4251280? Ans: 1 Inquiry: What is the units digit of 781328? Ans: 8 Inquiry: What is the ten thousands digit of 77301668? Ans: 0 Inquiry: What is the units digit of 160021446? Ans: 6 Inquiry: What is the ten thousands digit of 53404810? Ans: 0 Inquiry: What is the tens digit of 53658411? Ans: 1 Inquiry: What is the hundred millions digit of 500592725? Ans: 5 Inquiry: What is the thousands digit of 20833521? Ans: 3 Inquiry: What is the hundred thousands digit of 7876975? Ans: 8 Inquiry: What is the hundreds digit of 2103? Ans: 1 Inquiry: What is the ten thousands digit of 205604? Ans: 0 Inquiry: What is the hundreds digit of 220573? Ans: 5 Inquiry: What is the tens digit of 1115668? Ans: 6 Inquiry: What is the tens digit of 2880087? Ans: 8 Inquiry: What is the thousands digit of 152417? Ans: 2 Inquiry: What is the hundred thousands digit of 14281055? Ans: 2 Inquiry: What is the ten millions digit of 163378879? Ans: 6 Inquiry: What is the hundred thousands digit of 528524222? Ans: 5 Inquiry: What is the thousands digit of 1017? Ans: 1 Inquiry: What is the tens digit of 52861? Ans: 6 Inquiry: What is the tens digit of 4740? Ans: 4 Inquiry: What is the tens digit of 2021462? Ans: 6 Inquiry: What is the thousands digit of 269095? Ans: 9 Inquiry: What is the units digit of 32849911? Ans: 1 Inquiry: What is th
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measurement: time ----------------- Prompt: What is 526 minutes after 12:27 PM? Reply: 9:13 PM Prompt: What is 237 minutes after 4:07 AM? Reply: 8:04 AM Prompt: What is 14 minutes after 8:46 AM? Reply: 9:00 AM Prompt: How many minutes are there between 7:09 AM and 3:33 PM? Reply: 504 Prompt: How many minutes are there between 1:20 PM and 2:04 PM? Reply: 44 Prompt: How many minutes are there between 10:31 AM and 11:47 AM? Reply: 76 Prompt: How many minutes are there between 11:27 AM and 12:06 PM? Reply: 39 Prompt: What is 605 minutes before 11:27 AM? Reply: 1:22 AM Prompt: What is 211 minutes before 7:16 PM? Reply: 3:45 PM Prompt: How many minutes are there between 7:21 AM and 7:25 AM? Reply: 4 Prompt: How many minutes are there between 1:50 AM and 8:50 AM? Reply: 420 Prompt: What is 255 minutes after 2:06 AM? Reply: 6:21 AM Prompt: How many minutes are there between 11:05 AM and 10:59 PM? Reply: 714 Prompt: How many minutes are there between 3:27 PM and 3:17 AM? Reply: 710 Prompt: What is 607 minutes after 3:04 AM? Reply: 1:11 PM Prompt: What is 53 minutes before 5:59 AM? Reply: 5:06 AM Prompt: What is 507 minutes after 11:31 AM? Reply: 7:58 PM Prompt: How many minutes are there between 5:13 PM and 6:24 PM? Reply: 71 Prompt: What is 546 minutes after 4:19 AM? Reply: 1:25 PM Prompt: What is 681 minutes before 5:27 PM? Reply: 6:06 AM Prompt: What is 707 minutes before 8:14 PM? Reply: 8:27 AM Prompt: How many minutes are there between 12:12 PM and 10:11 PM? Reply: 599 Prompt: How many minutes are there between 3:00 PM and 9:59 PM? Reply: 419 Prompt: How many minutes are there between 12:59 AM and 12:36 PM? Reply: 697 Prompt: How many minutes are there between 12:03 AM and 9:12 AM? Reply: 549 Prompt: How many minutes are there between 1:05 AM and 8:04 AM? Reply: 419 Prompt: What is 36 minutes after 10:34 PM? Reply: 11:10 PM Prompt: How many minutes are there between 7:18 AM and 4:10 PM? Reply: 532 Prompt: What is 424 minutes before 11:32 AM? Reply: 4:28 AM Prompt: What
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numbers: gcd ------------ Q=: What is the highest common divisor of 321 and 552762? Explanation: 321 Q=: Calculate the highest common divisor of 30252452 and 986. Explanation: 986 Q=: What is the greatest common factor of 507116 and 16991? Explanation: 1307 Q=: What is the greatest common factor of 38218 and 231442? Explanation: 194 Q=: Calculate the highest common factor of 85 and 1164840. Explanation: 85 Q=: Calculate the greatest common factor of 84727 and 184819. Explanation: 439 Q=: Calculate the highest common divisor of 1278 and 45. Explanation: 9 Q=: What is the greatest common divisor of 77625 and 4485? Explanation: 345 Q=: What is the greatest common factor of 64 and 512? Explanation: 64 Q=: Calculate the greatest common divisor of 352 and 9064. Explanation: 88 Q=: What is the greatest common factor of 1335 and 15? Explanation: 15 Q=: Calculate the highest common factor of 7301 and 49. Explanation: 49 Q=: What is the greatest common factor of 38880 and 1640? Explanation: 40 Q=: What is the highest common divisor of 1344 and 429184? Explanation: 448 Q=: What is the highest common factor of 27 and 99? Explanation: 9 Q=: What is the greatest common divisor of 20 and 70? Explanation: 10 Q=: Calculate the greatest common divisor of 68 and 19647818. Explanation: 34 Q=: What is the greatest common factor of 472235 and 65? Explanation: 5 Q=: Calculate the greatest common divisor of 1032 and 120. Explanation: 24 Q=: What is the highest common factor of 20 and 100099540? Explanation: 20 Q=: What is the greatest common factor of 120 and 1220? Explanation: 20 Q=: Calculate the greatest common divisor of 19 and 1121. Explanation: 19 Q=: What is the greatest common divisor of 3242 and 6? Explanation: 2 Q=: Calculate the greatest common divisor of 50 and 50. Explanation: 50 Q=: What is the greatest common divisor of 14138110 and 2240? Explanation: 70 Q=: What is the greatest common factor of 78 and 11674? Explanation: 26 Q=: Calculate the highest common factor of 50254 a
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probability: swr p sequence --------------------------- Item: Calculate prob of sequence ve when two letters picked without replacement from {h: 2, v: 2, y: 1, e: 1, b: 2}. Steps: 1/28 Item: Three letters picked without replacement from {k: 2, z: 7, d: 2, x: 1}. What is prob of sequence zxk? Steps: 7/660 Item: What is prob of sequence eey when three letters picked without replacement from yeyyyeeeeyyyeeeeeee? Steps: 154/969 Item: Calculate prob of sequence tu when two letters picked without replacement from {t: 12, u: 1}. Steps: 1/13 Item: Three letters picked without replacement from uazzzazzzzua. What is prob of sequence uuz? Steps: 7/660 Item: Calculate prob of sequence pt when two letters picked without replacement from kqppqfkqfpkftcp. Steps: 2/105 Item: What is prob of sequence bu when two letters picked without replacement from {u: 5, b: 3, o: 3}? Steps: 3/22 Item: Two letters picked without replacement from {l: 1, e: 1, t: 1, d: 1, u: 1}. Give prob of sequence ud. Steps: 1/20 Item: What is prob of sequence fzzq when four letters picked without replacement from fkqzzjkkzzzzzj? Steps: 1/572 Item: Four letters picked without replacement from yyyy. Give prob of sequence yyyy. Steps: 1 Item: Four letters picked without replacement from {f: 3, p: 2, z: 1, d: 1, c: 4}. What is prob of sequence cppf? Steps: 1/330 Item: Three letters picked without replacement from {x: 3, a: 4, w: 4, t: 1, o: 2}. Give prob of sequence owo. Steps: 1/273 Item: Four letters picked without replacement from wrgwgrwwgrr. What is prob of sequence rggg? Steps: 1/330 Item: Calculate prob of sequence rd when two letters picked without replacement from qrrrrrrrrdrrrrrdr. Steps: 7/68 Item: Two letters picked without replacement from {j: 1, t: 1, c: 1, n: 1, d: 1}. What is prob of sequence tc? Steps: 1/20 Item: Four letters picked without replacement from mnlnknlmmlkkm. Give prob of sequence knlm. Steps: 9/1430 Item: Two letters picked without replacement from {k: 1, o: 1, m: 1, z: 1, s: 1}. What
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numbers: is prime ----------------- Conundrum: Is 48427 prime? Solution: False Conundrum: Is 177005 prime? Solution: False Conundrum: Is 6964847 prime? Solution: True Conundrum: Is 37368148121 a composite number? Solution: False Conundrum: Is 4119623 a composite number? Solution: False Conundrum: Is 39513911 a composite number? Solution: False Conundrum: Is 8344477 a composite number? Solution: True Conundrum: Is 8717 a prime number? Solution: False Conundrum: Is 211120616677 composite? Solution: False Conundrum: Is 51933689 prime? Solution: True Conundrum: Is 107791 prime? Solution: True Conundrum: Is 3210167 a composite number? Solution: False Conundrum: Is 38659 prime? Solution: False Conundrum: Is 4288997 a prime number? Solution: False Conundrum: Is 34504898557 a composite number? Solution: False Conundrum: Is 77543 prime? Solution: True Conundrum: Is 1038169 prime? Solution: False Conundrum: Is 16421737999 composite? Solution: True Conundrum: Is 2075903 composite? Solution: False Conundrum: Is 25070684291 prime? Solution: False Conundrum: Is 26740600631 a composite number? Solution: True Conundrum: Is 606546371 composite? Solution: True Conundrum: Is 965111 a composite number? Solution: True Conundrum: Is 29668739 prime? Solution: False Conundrum: Is 85949 composite? Solution: True Conundrum: Is 46112917 a composite number? Solution: True Conundrum: Is 9473753 a prime number? Solution: True Conundrum: Is 849009335 composite? Solution: True Conundrum: Is 56464693 a prime number? Solution: False Conundrum: Is 1182841109 a composite number? Solution: False Conundrum: Is 1249772135 a prime number? Solution: False Conundrum: Is 43411309 a prime number? Solution: False Conundrum: Is 121111 composite? Solution: True Conundrum: Is 193981 prime? Solution: False Conundrum: Is 379 composite? Solution: False Conundrum: Is 44831 prime? Solution: False Conundrum: Is 5879 a prime number? Solution: True Conundrum: Is 21807001 a prime number? Solution: False Conundrum: Is 1641
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numbers: lcm ------------ Conundrum: Calculate the smallest common multiple of 126 and 247004100. Resolution: 247004100 Conundrum: Calculate the common denominator of -1/96015 and -59/180. Resolution: 1152180 Conundrum: What is the smallest common multiple of 136 and 238? Resolution: 952 Conundrum: Calculate the smallest common multiple of 805940 and 95620. Resolution: 5641580 Conundrum: Calculate the common denominator of 49/199 and 30/7. Resolution: 1393 Conundrum: What is the least common multiple of 31665025 and 11025? Resolution: 284985225 Conundrum: Calculate the common denominator of -145/11367024 and 139/28417560. Resolution: 56835120 Conundrum: What is the lowest common multiple of 19656 and 17472? Resolution: 157248 Conundrum: What is the common denominator of 71/3685 and 69/2948? Resolution: 14740 Conundrum: What is the common denominator of -119/3018 and 71/6? Resolution: 3018 Conundrum: What is the common denominator of 43/5797 and 103/25296? Resolution: 278256 Conundrum: What is the smallest common multiple of 2515 and 1005? Resolution: 505515 Conundrum: What is the least common multiple of 1512 and 505848? Resolution: 4552632 Conundrum: Calculate the lowest common multiple of 74 and 920. Resolution: 34040 Conundrum: What is the common denominator of -13/26691 and 55/1968? Resolution: 427056 Conundrum: Calculate the common denominator of 131/66 and 17/12. Resolution: 132 Conundrum: What is the smallest common multiple of 15917508 and 288? Resolution: 127340064 Conundrum: What is the lowest common multiple of 34881 and 6342? Resolution: 69762 Conundrum: Find the common denominator of -41/18 and -55/16559427. Resolution: 99356562 Conundrum: What is the smallest common multiple of 15190 and 5425? Resolution: 75950 Conundrum: Calculate the smallest common multiple of 1260 and 1260. Resolution: 1260 Conundrum: What is the least common multiple of 24 and 1748? Resolution: 10488 Conundrum: What is the least common multiple of 140 and 1820? Resolution: 1820 Co
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probability: swr p sequence --------------------------- Task: Calculate prob of sequence vy when two letters picked without replacement from vyfyyfffyx. Sol: 2/45 Task: Three letters picked without replacement from {c: 3, k: 4, i: 5}. What is prob of sequence ccc? Sol: 1/220 Task: Four letters picked without replacement from yyqmccqg. Give prob of sequence myyq. Sol: 1/420 Task: Calculate prob of sequence ix when two letters picked without replacement from ooooizoioozxooxixio. Sol: 2/57 Task: Two letters picked without replacement from {s: 1, e: 1, z: 1, o: 1, i: 1}. Give prob of sequence oz. Sol: 1/20 Task: Three letters picked without replacement from {v: 3, d: 1}. Give prob of sequence vvv. Sol: 1/4 Task: What is prob of sequence xxx when three letters picked without replacement from {x: 4, h: 1, v: 2, r: 10, s: 1}? Sol: 1/204 Task: What is prob of sequence ubi when three letters picked without replacement from hfhhuuhihuhubuuufu? Sol: 1/612 Task: What is prob of sequence xcxr when four letters picked without replacement from ggxcarlllalc? Sol: 0 Task: What is prob of sequence mv when two letters picked without replacement from {m: 2, v: 1}? Sol: 1/3 Task: Calculate prob of sequence dxxd when four letters picked without replacement from dcxxd. Sol: 1/30 Task: What is prob of sequence tte when three letters picked without replacement from {t: 2, e: 3}? Sol: 1/10 Task: What is prob of sequence gaa when three letters picked without replacement from igaa? Sol: 1/12 Task: Three letters picked without replacement from {r: 4, v: 4, n: 2}. Give prob of sequence rrn. Sol: 1/30 Task: Calculate prob of sequence ffkk when four letters picked without replacement from {f: 4, k: 10}. Sol: 45/1001 Task: What is prob of sequence ra when two letters picked without replacement from rrarrrrrrrrrrrrrrrr? Sol: 1/19 Task: Calculate prob of sequence pppo when four letters picked without replacement from ooploplpppvnfpofn. Sol: 1/119 Task: Calculate prob of sequence ym when two letters p
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numbers: div remainder ---------------------- Question: Calculate the remainder when 118941 is divided by 3716. Thus: 29 Question: Calculate the remainder when 152365 is divided by 29. Thus: 28 Question: What is the remainder when 139 is divided by 73? Thus: 66 Question: Calculate the remainder when 575 is divided by 53. Thus: 45 Question: What is the remainder when 2056 is divided by 189? Thus: 166 Question: What is the remainder when 68921 is divided by 14? Thus: 13 Question: Calculate the remainder when 1500 is divided by 17. Thus: 4 Question: Calculate the remainder when 9673 is divided by 41. Thus: 38 Question: Calculate the remainder when 139536037 is divided by 69768015. Thus: 7 Question: What is the remainder when 3217237 is divided by 1851? Thus: 199 Question: What is the remainder when 674272 is divided by 613? Thus: 585 Question: What is the remainder when 1564 is divided by 157? Thus: 151 Question: What is the remainder when 2490 is divided by 113? Thus: 4 Question: Calculate the remainder when 1794 is divided by 119. Thus: 9 Question: What is the remainder when 5188608 is divided by 8? Thus: 0 Question: What is the remainder when 1070945467 is divided by 57? Thus: 55 Question: What is the remainder when 1212508 is divided by 4508? Thus: 4364 Question: Calculate the remainder when 945 is divided by 148. Thus: 57 Question: What is the remainder when 428098773 is divided by 5523? Thus: 5520 Question: Calculate the remainder when 180 is divided by 66. Thus: 48 Question: Calculate the remainder when 8442 is divided by 8441. Thus: 1 Question: What is the remainder when 118957129 is divided by 1490? Thus: 1489 Question: Calculate the remainder when 422834 is divided by 1364. Thus: 1358 Question: What is the remainder when 151 is divided by 60? Thus: 31 Question: What is the remainder when 297424 is divided by 33? Thus: 28 Question: What is the remainder when 420 is divided by 86? Thus: 76 Question: Calculate the remainder when 5414 is divided by 1797. Thus: 23
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probability: swr p sequence --------------------------- What if: Calculate prob of sequence yyy when three letters picked without replacement from {y: 5}. Reply: 1 What if: What is prob of sequence pbb when three letters picked without replacement from zpzbbpzzpbzzbbbzbz? Reply: 7/272 What if: Two letters picked without replacement from gooyooppo. Give prob of sequence pp. Reply: 1/36 What if: Calculate prob of sequence rz when two letters picked without replacement from jzrjrzrjrr. Reply: 1/9 What if: What is prob of sequence ddd when three letters picked without replacement from {d: 5, c: 5, r: 1}? Reply: 2/33 What if: What is prob of sequence da when two letters picked without replacement from ajqqqjqqajqdkjq? Reply: 1/105 What if: Calculate prob of sequence nnw when three letters picked without replacement from {n: 4, w: 6}. Reply: 1/10 What if: Two letters picked without replacement from {i: 1, h: 1, o: 2, y: 1, e: 4, j: 3}. What is prob of sequence ji? Reply: 1/44 What if: Four letters picked without replacement from {n: 1, l: 3}. Give prob of sequence nlll. Reply: 1/4 What if: Three letters picked without replacement from mmzozmzozzzmozzmo. What is prob of sequence zoo? Reply: 2/85 What if: Three letters picked without replacement from {g: 1, h: 1, i: 1, f: 2, k: 2, y: 1}. Give prob of sequence ygk. Reply: 1/168 What if: What is prob of sequence aa when two letters picked without replacement from {l: 1, h: 2, s: 2, x: 5, a: 4}? Reply: 6/91 What if: Four letters picked without replacement from {w: 2, o: 1, r: 4}. Give prob of sequence rorw. Reply: 1/35 What if: Four letters picked without replacement from {m: 1, b: 4, a: 2, d: 6, g: 1, k: 1}. Give prob of sequence madg. Reply: 1/2730 What if: Calculate prob of sequence ddj when three letters picked without replacement from dddjjj. Reply: 3/20 What if: Three letters picked without replacement from {f: 2, m: 2}. Give prob of sequence mff. Reply: 1/6 What if: What is prob of sequence sxsy when four letters picked
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numbers: gcd ------------ Item: What is the highest common divisor of 17199 and 784? Gives: 49 Item: Calculate the greatest common divisor of 218 and 50943766. Gives: 218 Item: What is the highest common divisor of 17178 and 1554? Gives: 42 Item: Calculate the highest common factor of 32 and 1888. Gives: 32 Item: What is the highest common divisor of 1991250 and 1050? Gives: 150 Item: Calculate the greatest common divisor of 51 and 54729341. Gives: 17 Item: What is the highest common factor of 1044 and 36? Gives: 36 Item: Calculate the highest common divisor of 164 and 1931660552. Gives: 164 Item: What is the greatest common divisor of 957427298 and 673? Gives: 673 Item: Calculate the highest common factor of 34517965 and 1235. Gives: 95 Item: Calculate the greatest common divisor of 747 and 3071. Gives: 83 Item: What is the greatest common divisor of 168324 and 2988? Gives: 996 Item: Calculate the highest common divisor of 28 and 98. Gives: 14 Item: What is the greatest common divisor of 6 and 1401? Gives: 3 Item: What is the highest common factor of 740 and 11433814? Gives: 74 Item: Calculate the highest common factor of 8078 and 275352. Gives: 14 Item: What is the greatest common divisor of 215 and 7009? Gives: 43 Item: What is the greatest common factor of 1339 and 39? Gives: 13 Item: Calculate the highest common factor of 49502856 and 2496. Gives: 312 Item: What is the highest common divisor of 230 and 1334? Gives: 46 Item: Calculate the highest common divisor of 11553920 and 12320. Gives: 1120 Item: What is the greatest common divisor of 27 and 19683? Gives: 27 Item: Calculate the greatest common divisor of 24 and 96. Gives: 24 Item: Calculate the greatest common divisor of 21273829 and 53. Gives: 53 Item: What is the highest common factor of 147804416 and 12992? Gives: 1856 Item: What is the highest common divisor of 119799 and 1224? Gives: 153 Item: Calculate the highest common divisor of 171407721 and 228. Gives: 57 Item: What is the highest common factor o
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numbers: div remainder ---------------------- Q=: What is the remainder when 4146 is divided by 1025? = : 46 Q=: What is the remainder when 773068 is divided by 257667? = : 67 Q=: Calculate the remainder when 45137818 is divided by 70. = : 68 Q=: Calculate the remainder when 12870 is divided by 157. = : 153 Q=: Calculate the remainder when 266 is divided by 75. = : 41 Q=: What is the remainder when 120 is divided by 93? = : 27 Q=: What is the remainder when 44920 is divided by 93? = : 1 Q=: Calculate the remainder when 3784016 is divided by 2701. = : 2616 Q=: What is the remainder when 91556 is divided by 137? = : 40 Q=: Calculate the remainder when 682258 is divided by 34112. = : 18 Q=: What is the remainder when 89 is divided by 37? = : 15 Q=: Calculate the remainder when 667016 is divided by 23. = : 16 Q=: Calculate the remainder when 28 is divided by 25. = : 3 Q=: Calculate the remainder when 491 is divided by 15. = : 11 Q=: What is the remainder when 8066143 is divided by 1148? = : 295 Q=: What is the remainder when 2609 is divided by 30? = : 29 Q=: What is the remainder when 1087950 is divided by 67? = : 4 Q=: What is the remainder when 3811 is divided by 72? = : 67 Q=: What is the remainder when 36183 is divided by 3014? = : 15 Q=: What is the remainder when 7717 is divided by 65? = : 47 Q=: Calculate the remainder when 25969171 is divided by 355742. = : 5 Q=: Calculate the remainder when 98217 is divided by 5777. = : 8 Q=: Calculate the remainder when 4034 is divided by 109. = : 1 Q=: Calculate the remainder when 718 is divided by 57. = : 34 Q=: Calculate the remainder when 94132 is divided by 211. = : 26 Q=: Calculate the remainder when 657 is divided by 129. = : 12 Q=: What is the remainder when 13237930 is divided by 378? = : 370 Q=: What is the remainder when 127 is divided by 60? = : 7 Q=: Calculate the remainder when 17325 is divided by 2163. = : 21 Q=: What is the remainder when 5323 is divided by 237? = : 109 Q=: What is the remainder when 337670 is
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numbers: div remainder ---------------------- Case: Calculate the remainder when 1609 is divided by 88. Workthrough: 25 Case: Calculate the remainder when 33 is divided by 9. Workthrough: 6 Case: What is the remainder when 1424 is divided by 62? Workthrough: 60 Case: What is the remainder when 67 is divided by 53? Workthrough: 14 Case: What is the remainder when 1207 is divided by 121? Workthrough: 118 Case: Calculate the remainder when 3484 is divided by 21. Workthrough: 19 Case: What is the remainder when 328 is divided by 48? Workthrough: 40 Case: What is the remainder when 47589999 is divided by 15863323? Workthrough: 30 Case: Calculate the remainder when 2948 is divided by 61. Workthrough: 20 Case: What is the remainder when 592 is divided by 279? Workthrough: 34 Case: What is the remainder when 7594 is divided by 3045? Workthrough: 1504 Case: What is the remainder when 67057 is divided by 771? Workthrough: 751 Case: What is the remainder when 26527 is divided by 8834? Workthrough: 25 Case: What is the remainder when 1327009 is divided by 123? Workthrough: 85 Case: What is the remainder when 3055 is divided by 200? Workthrough: 55 Case: Calculate the remainder when 4268 is divided by 97. Workthrough: 0 Case: What is the remainder when 57765 is divided by 14411? Workthrough: 121 Case: What is the remainder when 1026 is divided by 102? Workthrough: 6 Case: What is the remainder when 13684 is divided by 6842? Workthrough: 0 Case: Calculate the remainder when 154865 is divided by 280. Workthrough: 25 Case: Calculate the remainder when 491 is divided by 50. Workthrough: 41 Case: Calculate the remainder when 448 is divided by 40. Workthrough: 8 Case: What is the remainder when 648 is divided by 133? Workthrough: 116 Case: Calculate the remainder when 66944 is divided by 90. Workthrough: 74 Case: Calculate the remainder when 32 is divided by 3. Workthrough: 2 Case: What is the remainder when 10476 is divided by 105? Workthrough: 81 Case: Calculate the remainder when 5
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numbers: gcd ------------ Topic: What is the highest common divisor of 18540 and 212100? Soln: 60 Topic: Calculate the greatest common factor of 84 and 28665. Soln: 21 Topic: Calculate the greatest common divisor of 2176146 and 4522. Soln: 266 Topic: Calculate the highest common divisor of 170 and 1. Soln: 1 Topic: Calculate the greatest common factor of 324 and 51732. Soln: 108 Topic: What is the greatest common divisor of 4 and 17428? Soln: 4 Topic: Calculate the highest common divisor of 8909 and 177. Soln: 59 Topic: What is the greatest common divisor of 258604605 and 504? Soln: 63 Topic: Calculate the highest common factor of 972 and 11139420. Soln: 12 Topic: What is the highest common divisor of 3339 and 53316039? Soln: 1113 Topic: Calculate the greatest common divisor of 140 and 175. Soln: 35 Topic: Calculate the greatest common factor of 451 and 738. Soln: 41 Topic: Calculate the greatest common factor of 240 and 320. Soln: 80 Topic: Calculate the highest common divisor of 2750 and 1408. Soln: 22 Topic: Calculate the highest common divisor of 410 and 9635. Soln: 205 Topic: Calculate the greatest common factor of 41966 and 6. Soln: 2 Topic: Calculate the greatest common divisor of 570002 and 1854. Soln: 206 Topic: What is the highest common factor of 4087 and 335? Soln: 67 Topic: Calculate the highest common factor of 60 and 24. Soln: 12 Topic: What is the highest common factor of 425 and 19584? Soln: 17 Topic: Calculate the greatest common factor of 2432 and 3743. Soln: 19 Topic: Calculate the highest common factor of 91 and 35. Soln: 7 Topic: What is the greatest common divisor of 11134 and 981562306? Soln: 11134 Topic: Calculate the greatest common factor of 2451 and 93253197. Soln: 2451 Topic: Calculate the highest common factor of 391 and 19688. Soln: 23 Topic: Calculate the highest common factor of 13 and 2493049. Soln: 13 Topic: What is the greatest common divisor of 423292 and 3218206? Soln: 1978 Topic: What is the highest common divisor of 991 and 12
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measurement: time ----------------- Qn: What is 558 minutes before 7:06 PM? Workthrough: 9:48 AM Qn: What is 254 minutes before 11:12 PM? Workthrough: 6:58 PM Qn: How many minutes are there between 7:28 AM and 2:31 PM? Workthrough: 423 Qn: How many minutes are there between 9:05 PM and 10:27 PM? Workthrough: 82 Qn: How many minutes are there between 7:31 AM and 4:37 PM? Workthrough: 546 Qn: What is 38 minutes before 10:39 AM? Workthrough: 10:01 AM Qn: What is 481 minutes before 5:51 PM? Workthrough: 9:50 AM Qn: How many minutes are there between 2:39 AM and 1:42 PM? Workthrough: 663 Qn: What is 185 minutes after 1:22 AM? Workthrough: 4:27 AM Qn: How many minutes are there between 12:36 PM and 8:37 PM? Workthrough: 481 Qn: What is 618 minutes after 4:23 PM? Workthrough: 2:41 AM Qn: What is 636 minutes after 10:47 PM? Workthrough: 9:23 AM Qn: How many minutes are there between 4:57 PM and 7:35 PM? Workthrough: 158 Qn: How many minutes are there between 8:56 PM and 8:35 AM? Workthrough: 699 Qn: What is 289 minutes before 2:08 PM? Workthrough: 9:19 AM Qn: How many minutes are there between 4:38 AM and 12:50 PM? Workthrough: 492 Qn: How many minutes are there between 5:21 AM and 9:34 AM? Workthrough: 253 Qn: How many minutes are there between 4:25 PM and 7:03 PM? Workthrough: 158 Qn: What is 344 minutes after 7:09 AM? Workthrough: 12:53 PM Qn: How many minutes are there between 7:55 AM and 11:52 AM? Workthrough: 237 Qn: How many minutes are there between 5:38 AM and 11:51 AM? Workthrough: 373 Qn: How many minutes are there between 11:48 AM and 12:28 PM? Workthrough: 40 Qn: How many minutes are there between 6:02 PM and 7:11 PM? Workthrough: 69 Qn: How many minutes are there between 8:27 AM and 9:26 AM? Workthrough: 59 Qn: How many minutes are there between 12:59 PM and 1:39 PM? Workthrough: 40 Qn: How many minutes are there between 7:06 AM and 1:56 PM? Workthrough: 410 Qn: How many minutes are there between 2:13 PM and 4:45 PM? Workthrough: 152 Qn: How many minutes are t
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numbers: div remainder ---------------------- Problem: What is the remainder when 607 is divided by 13? Therefore: 9 Problem: What is the remainder when 391 is divided by 36? Therefore: 31 Problem: What is the remainder when 22458 is divided by 5613? Therefore: 6 Problem: Calculate the remainder when 89976170 is divided by 27. Therefore: 20 Problem: Calculate the remainder when 1387 is divided by 189. Therefore: 64 Problem: What is the remainder when 5771554 is divided by 110990? Therefore: 74 Problem: What is the remainder when 3232861 is divided by 1840? Therefore: 1821 Problem: What is the remainder when 13182 is divided by 206? Therefore: 204 Problem: Calculate the remainder when 489751 is divided by 192. Therefore: 151 Problem: What is the remainder when 362 is divided by 105? Therefore: 47 Problem: What is the remainder when 206141 is divided by 110? Therefore: 1 Problem: What is the remainder when 2061 is divided by 8? Therefore: 5 Problem: Calculate the remainder when 597183 is divided by 738. Therefore: 141 Problem: Calculate the remainder when 62 is divided by 4. Therefore: 2 Problem: What is the remainder when 196045597 is divided by 328? Therefore: 325 Problem: What is the remainder when 29457 is divided by 2900? Therefore: 457 Problem: What is the remainder when 7367209 is divided by 53? Therefore: 50 Problem: Calculate the remainder when 15686 is divided by 7843. Therefore: 0 Problem: Calculate the remainder when 12856231 is divided by 1312. Therefore: 1255 Problem: Calculate the remainder when 21041 is divided by 2626. Therefore: 33 Problem: Calculate the remainder when 463290 is divided by 5444. Therefore: 550 Problem: What is the remainder when 54178 is divided by 387? Therefore: 385 Problem: What is the remainder when 71273 is divided by 71256? Therefore: 17 Problem: Calculate the remainder when 18620 is divided by 164. Therefore: 88 Problem: What is the remainder when 19551 is divided by 4862? Therefore: 103 Problem: Calculate the remainder when 1
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numbers: is prime ----------------- Ask: Is 1441289 a composite number? Workthrough: False Ask: Is 42989 a prime number? Workthrough: True Ask: Is 129705737453 prime? Workthrough: True Ask: Is 296675257 prime? Workthrough: False Ask: Is 33095 a prime number? Workthrough: False Ask: Is 2625369121 a composite number? Workthrough: True Ask: Is 1738738 composite? Workthrough: True Ask: Is 9418717501 a composite number? Workthrough: False Ask: Is 6761 composite? Workthrough: False Ask: Is 881602619 a composite number? Workthrough: False Ask: Is 864962421 composite? Workthrough: True Ask: Is 1046 a prime number? Workthrough: False Ask: Is 89785643 composite? Workthrough: True Ask: Is 299470253 a composite number? Workthrough: True Ask: Is 2565016711 composite? Workthrough: True Ask: Is 1886693 prime? Workthrough: True Ask: Is 936915341 a composite number? Workthrough: False Ask: Is 1043 prime? Workthrough: False Ask: Is 425563 prime? Workthrough: True Ask: Is 369689161 prime? Workthrough: True Ask: Is 45421487 composite? Workthrough: False Ask: Is 23745290099 a prime number? Workthrough: True Ask: Is 72113029 a prime number? Workthrough: True Ask: Is 6361450681 a composite number? Workthrough: False Ask: Is 494920271 composite? Workthrough: False Ask: Is 2460821 composite? Workthrough: True Ask: Is 33571007 a composite number? Workthrough: True Ask: Is 511491049 a prime number? Workthrough: False Ask: Is 449746949 prime? Workthrough: False Ask: Is 37079 composite? Workthrough: True Ask: Is 27991 prime? Workthrough: False Ask: Is 543914421 a prime number? Workthrough: False Ask: Is 321931 a prime number? Workthrough: False Ask: Is 200488277 prime? Workthrough: False Ask: Is 84026479 a prime number? Workthrough: True Ask: Is 3022 a prime number? Workthrough: False Ask: Is 171839891 a prime number? Workthrough: False Ask: Is 6820511 prime? Workthrough: True Ask: Is 2641211473 a prime number? Workthrough: False Ask: Is 54433 a composite number? Workthrough: True Ask: Is 7631
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numbers: div remainder ---------------------- Qn: What is the remainder when 18575 is divided by 387? Sol: 386 Qn: What is the remainder when 22576 is divided by 106? Sol: 104 Qn: What is the remainder when 32 is divided by 19? Sol: 13 Qn: Calculate the remainder when 30321696 is divided by 102. Sol: 54 Qn: What is the remainder when 133261 is divided by 43965? Sol: 1366 Qn: What is the remainder when 7507 is divided by 73? Sol: 61 Qn: Calculate the remainder when 67 is divided by 18. Sol: 13 Qn: Calculate the remainder when 109336984 is divided by 6946. Sol: 6944 Qn: What is the remainder when 5359 is divided by 400? Sol: 159 Qn: Calculate the remainder when 5639 is divided by 2363. Sol: 913 Qn: Calculate the remainder when 31822 is divided by 117. Sol: 115 Qn: Calculate the remainder when 2108 is divided by 176. Sol: 172 Qn: Calculate the remainder when 1765 is divided by 31. Sol: 29 Qn: Calculate the remainder when 7254 is divided by 2199. Sol: 657 Qn: Calculate the remainder when 2992 is divided by 104. Sol: 80 Qn: What is the remainder when 4687 is divided by 50? Sol: 37 Qn: Calculate the remainder when 143165 is divided by 123. Sol: 116 Qn: What is the remainder when 1499 is divided by 75? Sol: 74 Qn: Calculate the remainder when 3737 is divided by 43. Sol: 39 Qn: Calculate the remainder when 26 is divided by 7. Sol: 5 Qn: What is the remainder when 18958 is divided by 379? Sol: 8 Qn: What is the remainder when 8777 is divided by 8080? Sol: 697 Qn: Calculate the remainder when 12780887 is divided by 642. Sol: 593 Qn: What is the remainder when 16632 is divided by 511? Sol: 280 Qn: Calculate the remainder when 1277 is divided by 21. Sol: 17 Qn: What is the remainder when 82 is divided by 14? Sol: 12 Qn: What is the remainder when 3355 is divided by 46? Sol: 43 Qn: What is the remainder when 68620 is divided by 517? Sol: 376 Qn: Calculate the remainder when 709 is divided by 79. Sol: 77 Qn: Calculate the remainder when 319 is divided by 62. Sol: 9 Qn: Calculate
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measurement: time ----------------- What if: How many minutes are there between 6:00 AM and 12:59 PM? Derivation: 419 What if: What is 302 minutes before 3:32 AM? Derivation: 10:30 PM What if: How many minutes are there between 10:33 AM and 7:42 PM? Derivation: 549 What if: How many minutes are there between 10:58 PM and 7:00 AM? Derivation: 482 What if: What is 323 minutes after 3:19 PM? Derivation: 8:42 PM What if: How many minutes are there between 8:12 PM and 6:01 AM? Derivation: 589 What if: How many minutes are there between 12:28 PM and 5:33 PM? Derivation: 305 What if: How many minutes are there between 3:33 PM and 8:24 PM? Derivation: 291 What if: What is 525 minutes before 3:13 PM? Derivation: 6:28 AM What if: What is 582 minutes after 4:12 PM? Derivation: 1:54 AM What if: How many minutes are there between 7:09 AM and 11:20 AM? Derivation: 251 What if: How many minutes are there between 11:53 AM and 11:09 PM? Derivation: 676 What if: How many minutes are there between 4:34 PM and 8:43 PM? Derivation: 249 What if: What is 667 minutes before 1:20 AM? Derivation: 2:13 PM What if: What is 670 minutes after 10:37 PM? Derivation: 9:47 AM What if: What is 463 minutes after 3:30 PM? Derivation: 11:13 PM What if: How many minutes are there between 11:49 PM and 6:58 AM? Derivation: 429 What if: How many minutes are there between 11:01 AM and 7:17 PM? Derivation: 496 What if: What is 136 minutes before 12:28 AM? Derivation: 10:12 PM What if: What is 327 minutes after 2:54 PM? Derivation: 8:21 PM What if: How many minutes are there between 7:14 PM and 4:32 AM? Derivation: 558 What if: How many minutes are there between 12:14 PM and 4:05 PM? Derivation: 231 What if: How many minutes are there between 6:00 AM and 4:31 PM? Derivation: 631 What if: How many minutes are there between 10:43 PM and 5:47 AM? Derivation: 424 What if: What is 492 minutes after 5:03 PM? Derivation: 1:15 AM What if: How many minutes are there between 9:31 AM and 3:16 PM? Derivation: 345 What if:
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numbers: place value -------------------- Q.: What is the tens digit of 17481? Answer: 8 Q.: What is the units digit of 256747? Answer: 7 Q.: What is the units digit of 362? Answer: 2 Q.: What is the tens digit of 7792? Answer: 9 Q.: What is the ten thousands digit of 11349? Answer: 1 Q.: What is the ten thousands digit of 1879744544? Answer: 4 Q.: What is the hundreds digit of 756? Answer: 7 Q.: What is the millions digit of 1511590056? Answer: 1 Q.: What is the thousands digit of 336976? Answer: 6 Q.: What is the units digit of 880001? Answer: 1 Q.: What is the billions digit of 5716776046? Answer: 5 Q.: What is the thousands digit of 3195929? Answer: 5 Q.: What is the units digit of 498627849? Answer: 9 Q.: What is the units digit of 356? Answer: 6 Q.: What is the thousands digit of 356773? Answer: 6 Q.: What is the hundred thousands digit of 115502985? Answer: 5 Q.: What is the thousands digit of 13016? Answer: 3 Q.: What is the thousands digit of 19574? Answer: 9 Q.: What is the thousands digit of 26347? Answer: 6 Q.: What is the thousands digit of 299248? Answer: 9 Q.: What is the hundreds digit of 40656? Answer: 6 Q.: What is the units digit of 231252? Answer: 2 Q.: What is the ten thousands digit of 16807? Answer: 1 Q.: What is the tens digit of 46677568? Answer: 6 Q.: What is the hundreds digit of 21849749? Answer: 7 Q.: What is the hundreds digit of 20033397? Answer: 3 Q.: What is the thousands digit of 16211068? Answer: 1 Q.: What is the tens digit of 7463? Answer: 6 Q.: What is the tens digit of 4551019? Answer: 1 Q.: What is the units digit of 3896? Answer: 6 Q.: What is the units digit of 22580? Answer: 0 Q.: What is the units digit of 2838144? Answer: 4 Q.: What is the tens digit of 255279? Answer: 7 Q.: What is the hundreds digit of 848507? Answer: 5 Q.: What is the billions digit of 1156991876? Answer: 1 Q.: What is the ten thousands digit of 26738620? Answer: 3 Q.: What is the ten thousands digit of 35564239? Answer: 6 Q.: What is the hundreds digi
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numbers: is factor ------------------ Puzzle: Is 464 a multiple of 18? Solution: False Puzzle: Is 438 a factor of 1109454? Solution: True Puzzle: Is 13 a factor of 26? Solution: True Puzzle: Does 13 divide 1520? Solution: False Puzzle: Does 10 divide 1451805? Solution: False Puzzle: Does 4442 divide 4638016264? Solution: False Puzzle: Does 65 divide 3900? Solution: True Puzzle: Is 127 a factor of 188722? Solution: True Puzzle: Is 46 a factor of 218470991? Solution: False Puzzle: Is 15 a factor of 65580? Solution: True Puzzle: Is 332 a multiple of 15? Solution: False Puzzle: Does 255 divide 7527922? Solution: False Puzzle: Is 1908358 a multiple of 3? Solution: False Puzzle: Does 32 divide 4547? Solution: False Puzzle: Does 125 divide 8672? Solution: False Puzzle: Does 196 divide 6468? Solution: True Puzzle: Is 6966452 a multiple of 118? Solution: False Puzzle: Does 9 divide 745443? Solution: True Puzzle: Is 10584 a multiple of 9? Solution: True Puzzle: Is 21343 a multiple of 11? Solution: False Puzzle: Is 16002 a multiple of 92? Solution: False Puzzle: Is 23952240 a multiple of 180? Solution: True Puzzle: Is 1357 a factor of 3166970? Solution: False Puzzle: Does 83 divide 996? Solution: True Puzzle: Is 414 a factor of 1215856? Solution: False Puzzle: Is 43259418 a multiple of 9? Solution: True Puzzle: Is 2719521398 a multiple of 671? Solution: True Puzzle: Does 13 divide 78? Solution: True Puzzle: Does 12 divide 133104? Solution: True Puzzle: Is 585 a factor of 21926970? Solution: True Puzzle: Is 217706 a multiple of 199? Solution: True Puzzle: Is 13 a factor of 10836397? Solution: True Puzzle: Does 14 divide 2252? Solution: False Puzzle: Is 21 a factor of 882? Solution: True Puzzle: Is 4681201 a multiple of 1159? Solution: True Puzzle: Is 736 a factor of 30813376? Solution: True Puzzle: Is 41749 a multiple of 49? Solution: False Puzzle: Is 63 a factor of 32829? Solution: False Puzzle: Is 978 a multiple of 7? Solution: False Puzzle: Is 180 a factor of 11520? Solution
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numbers: place value -------------------- Challenge: What is the units digit of 881834018? Yields: 8 Challenge: What is the ten thousands digit of 633838? Yields: 3 Challenge: What is the thousands digit of 1625062142? Yields: 2 Challenge: What is the ten thousands digit of 77376096? Yields: 7 Challenge: What is the tens digit of 986? Yields: 8 Challenge: What is the units digit of 36237? Yields: 7 Challenge: What is the units digit of 2769756286? Yields: 6 Challenge: What is the ten thousands digit of 385363114? Yields: 6 Challenge: What is the units digit of 8350? Yields: 0 Challenge: What is the ten thousands digit of 468161? Yields: 6 Challenge: What is the hundred thousands digit of 231437? Yields: 2 Challenge: What is the tens digit of 67570842? Yields: 4 Challenge: What is the millions digit of 7440183? Yields: 7 Challenge: What is the thousands digit of 20014? Yields: 0 Challenge: What is the hundreds digit of 19727? Yields: 7 Challenge: What is the units digit of 284334? Yields: 4 Challenge: What is the tens digit of 635986329? Yields: 2 Challenge: What is the tens digit of 1895282? Yields: 8 Challenge: What is the hundred thousands digit of 2840096034? Yields: 0 Challenge: What is the millions digit of 163786531? Yields: 3 Challenge: What is the hundred millions digit of 446645273? Yields: 4 Challenge: What is the hundred thousands digit of 4388410646? Yields: 4 Challenge: What is the hundred thousands digit of 1746206234? Yields: 2 Challenge: What is the millions digit of 3805643? Yields: 3 Challenge: What is the billions digit of 5273759145? Yields: 5 Challenge: What is the units digit of 653802068? Yields: 8 Challenge: What is the tens digit of 361? Yields: 6 Challenge: What is the millions digit of 2222536? Yields: 2 Challenge: What is the hundreds digit of 2997072016? Yields: 0 Challenge: What is the thousands digit of 1144? Yields: 1 Challenge: What is the hundreds digit of 1160657? Yields: 6 Challenge: What is the tens digit of 102225984? Yields: 8
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arithmetic: nearest integer root -------------------------------- Query: What is 198509 to the power of 1/2, to the nearest integer? Math A: 446 Query: What is 3715 to the power of 1/4, to the nearest integer? Math A: 8 Query: What is 2654 to the power of 1/2, to the nearest integer? Math A: 52 Query: What is the square root of 1057 to the nearest integer? Math A: 33 Query: What is the cube root of 1768 to the nearest integer? Math A: 12 Query: What is the square root of 1241193 to the nearest integer? Math A: 1114 Query: What is 673 to the power of 1/6, to the nearest integer? Math A: 3 Query: What is the square root of 644075 to the nearest integer? Math A: 803 Query: What is 441443 to the power of 1/3, to the nearest integer? Math A: 76 Query: What is the third root of 10588 to the nearest integer? Math A: 22 Query: What is the cube root of 35868441 to the nearest integer? Math A: 330 Query: What is the square root of 3145698387 to the nearest integer? Math A: 56087 Query: What is 675366554 to the power of 1/6, to the nearest integer? Math A: 30 Query: What is the cube root of 1138293 to the nearest integer? Math A: 104 Query: What is the square root of 361564538 to the nearest integer? Math A: 19015 Query: What is the sixth root of 68561 to the nearest integer? Math A: 6 Query: What is the fourth root of 757 to the nearest integer? Math A: 5 Query: What is the cube root of 8600 to the nearest integer? Math A: 20 Query: What is the eighth root of 253221878 to the nearest integer? Math A: 11 Query: What is 936784 to the power of 1/7, to the nearest integer? Math A: 7 Query: What is the square root of 4859 to the nearest integer? Math A: 70 Query: What is the square root of 6248 to the nearest integer? Math A: 79 Query: What is 10966226 to the power of 1/2, to the nearest integer? Math A: 3312 Query: What is the cube root of 1486706 to the nearest integer? Math A: 114 Query: What is the third root of 76801 to the nearest integer? Math A: 43 Query: What is 70256 to
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numbers: place value -------------------- Question: What is the hundreds digit of 17696216? A.: 2 Question: What is the tens digit of 1681? A.: 8 Question: What is the units digit of 90711? A.: 1 Question: What is the hundreds digit of 101? A.: 1 Question: What is the millions digit of 1393008? A.: 1 Question: What is the thousands digit of 9145? A.: 9 Question: What is the units digit of 692845? A.: 5 Question: What is the thousands digit of 51337308? A.: 7 Question: What is the units digit of 99145? A.: 5 Question: What is the ten thousands digit of 1421783? A.: 2 Question: What is the hundreds digit of 141? A.: 1 Question: What is the hundreds digit of 62458? A.: 4 Question: What is the thousands digit of 7717? A.: 7 Question: What is the hundred millions digit of 2979489893? A.: 9 Question: What is the thousands digit of 50652? A.: 0 Question: What is the units digit of 5115? A.: 5 Question: What is the tens digit of 634? A.: 3 Question: What is the tens digit of 6680? A.: 8 Question: What is the tens digit of 119898604? A.: 0 Question: What is the units digit of 781? A.: 1 Question: What is the ten thousands digit of 5107268300? A.: 6 Question: What is the tens digit of 264? A.: 6 Question: What is the billions digit of 1181090641? A.: 1 Question: What is the thousands digit of 86889461? A.: 9 Question: What is the millions digit of 449984366? A.: 9 Question: What is the billions digit of 1377274077? A.: 1 Question: What is the hundreds digit of 2103472? A.: 4 Question: What is the hundreds digit of 16215? A.: 2 Question: What is the ten thousands digit of 2186726? A.: 8 Question: What is the tens digit of 462518? A.: 1 Question: What is the tens digit of 1628? A.: 2 Question: What is the units digit of 4744066? A.: 6 Question: What is the tens digit of 282920071? A.: 7 Question: What is the units digit of 21? A.: 1 Question: What is the tens digit of 558? A.: 5 Question: What is the hundred thousands digit of 32246486? A.: 2 Question: What is the hundreds digi
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comparison: kth biggest ----------------------- Problem Statement: What is the fourth smallest value in 10, -8, 3, -26/7, 5, -55/2? Final Answer: 3 Problem Statement: What is the biggest value in -7, -4, -5? Final Answer: -4 Problem Statement: Which is the biggest value? (a) -158 (b) -2 (c) 4 (d) -0.4 (e) 1/6 Final Answer: c Problem Statement: What is the second biggest value in -4/7, 0.4, 4, 3? Final Answer: 3 Problem Statement: Which is the fourth smallest value? (a) 0.05 (b) -5 (c) 298 (d) -1/5 (e) 1 Final Answer: e Problem Statement: Which is the smallest value? (a) -0.3 (b) -4 (c) 1/19042 Final Answer: b Problem Statement: Which is the second smallest value? (a) -3 (b) 11 (c) 1 (d) 4 Final Answer: c Problem Statement: What is the second biggest value in 5, 1.4, -2/5, -0.5, 2.286? Final Answer: 2.286 Problem Statement: What is the third smallest value in -32, 1/3, 2/3? Final Answer: 2/3 Problem Statement: Which is the biggest value? (a) 45 (b) -4 (c) -3.1 (d) 1 Final Answer: a Problem Statement: What is the fourth biggest value in 5/3, 3, 6, 5/2? Final Answer: 5/3 Problem Statement: Which is the second smallest value? (a) -0.05 (b) 2 (c) -5/11 (d) -10 (e) 2/15 Final Answer: c Problem Statement: What is the third biggest value in 6820, 3, -0.4? Final Answer: -0.4 Problem Statement: What is the second smallest value in 2, 162, -0.4, -1? Final Answer: -0.4 Problem Statement: What is the second biggest value in 26, -8, 0.932, -0.2, -2/9, -1/8? Final Answer: 0.932 Problem Statement: What is the smallest value in -2/7, 5833.78, 0.3? Final Answer: -2/7 Problem Statement: Which is the third smallest value? (a) 11 (b) -5688 (c) 342 Final Answer: c Problem Statement: What is the third smallest value in -2993, 0.075, 18? Final Answer: 18 Problem Statement: What is the smallest value in 0.33, 0.13, -2? Final Answer: -2 Problem Statement: What is the biggest value in -5, -1, -1/3760, 2/10819? Final Answer: 2/10819 Problem Statement: Which is the
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measurement: conversion ----------------------- Given: What is fifty-eight thirds of a day in hours? Thus: 464 Given: Convert 0.7724772mg to micrograms. Thus: 772.4772 Given: How many hours are there in 19/4 of a week? Thus: 798 Given: What is six fifths of a minute in milliseconds? Thus: 72000 Given: What is twenty-one eighths of a milligram in micrograms? Thus: 2625 Given: How many centimeters are there in 46/5 of a meter? Thus: 920 Given: What is 13/8 of a tonne in kilograms? Thus: 1625 Given: What is thirteen fifths of a litre in millilitres? Thus: 2600 Given: How many millimeters are there in eighty-seven quarters of a meter? Thus: 21750 Given: Convert 6335.022 kilometers to micrometers. Thus: 6335022000000 Given: How many microseconds are there in fifty-seven fifths of a millisecond? Thus: 11400 Given: What is 0.438526 millennia in years? Thus: 438.526 Given: How many micrometers are there in 3.088737m? Thus: 3088737 Given: What is 23055.894 seconds in hours? Thus: 6.404415 Given: How many kilometers are there in 68821.73 millimeters? Thus: 0.06882173 Given: What is 32/5 of a kilometer in meters? Thus: 6400 Given: What is 541987.5ns in minutes? Thus: 0.000009033125 Given: How many millilitres are there in thirty-two fifths of a litre? Thus: 6400 Given: What is 183.9738t in kilograms? Thus: 183973.8 Given: What is 78.79873kg in grams? Thus: 78798.73 Given: What is 7/4 of a hour in minutes? Thus: 105 Given: How many millimeters are there in 358.162nm? Thus: 0.000358162 Given: How many micrometers are there in fourty-six fifths of a centimeter? Thus: 92000 Given: How many millilitres are there in twenty-nine halves of a litre? Thus: 14500 Given: What is 2006.47 nanometers in micrometers? Thus: 2.00647 Given: How many millilitres are there in 1/4 of a litre? Thus: 250 Given: What is seven halves of a week in minutes? Thus: 35280 Given: Convert 7349.561 decades to millennia. Thus: 73.49561 Given: What is 8/15 of a decade in months? Thus: 64 Given: What is 7/4 of a
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probability: swr p level set ---------------------------- Q: Four letters picked without replacement from kkffkk. Give prob of picking 1 f and 3 k. Soln: 8/15 Q: Two letters picked without replacement from wdfrirrfffwwrbw. Give prob of picking 1 f and 1 b. Soln: 4/105 Q: Two letters picked without replacement from {f: 1, t: 5, m: 1, x: 4}. What is prob of picking 1 t and 1 x? Soln: 4/11 Q: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from oooofooooooo. Soln: 1/6 Q: Three letters picked without replacement from nmdydmrrmm. Give prob of picking 1 m and 2 r. Soln: 1/30 Q: Three letters picked without replacement from rrrararrra. What is prob of picking 3 a? Soln: 1/120 Q: Two letters picked without replacement from wllwwllkwllywllkwl. What is prob of picking 2 k? Soln: 1/153 Q: Two letters picked without replacement from yyjjug. What is prob of picking 1 y and 1 j? Soln: 4/15 Q: What is prob of picking 1 n, 1 m, and 1 j when three letters picked without replacement from {g: 3, m: 4, j: 2, e: 2, n: 3, h: 1}? Soln: 24/455 Q: What is prob of picking 3 a and 1 d when four letters picked without replacement from xxxdxaxaxxd? Soln: 0 Q: Four letters picked without replacement from gpgzzjpzgzzpzjgjzp. Give prob of picking 1 z, 2 g, and 1 p. Soln: 14/255 Q: Two letters picked without replacement from eem. What is prob of picking 1 e and 1 m? Soln: 2/3 Q: Two letters picked without replacement from jwhwwrurwzhwr. What is prob of picking 1 z and 1 j? Soln: 1/78 Q: Calculate prob of picking 3 g when three letters picked without replacement from gggiggggggiigggg. Soln: 143/280 Q: Two letters picked without replacement from qngnngng. Give prob of picking 1 q and 1 g. Soln: 3/28 Q: Two letters picked without replacement from {i: 1, z: 5, e: 1, g: 3}. Give prob of picking 1 g and 1 z. Soln: 1/3 Q: What is prob of picking 2 e and 1 a when three letters picked without replacement from vvavvvssvsmmmeveasvs? Soln: 1/570 Q: Three letters picked without
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measurement: conversion ----------------------- Scenario: What is 640181.4 litres in millilitres? Explanation: 640181400 Scenario: How many months are there in 1/15 of a millennium? Explanation: 800 Scenario: How many litres are there in 746903.7ml? Explanation: 746.9037 Scenario: How many seconds are there in 3/50 of a day? Explanation: 5184 Scenario: Convert 80.22022s to microseconds. Explanation: 80220220 Scenario: What is 11/8 of a decade in months? Explanation: 165 Scenario: What is eighty-eight fifths of a kilogram in grams? Explanation: 17600 Scenario: What is 2165.624 millennia in years? Explanation: 2165624 Scenario: What is 1/24 of a week in minutes? Explanation: 420 Scenario: How many years are there in 1/5 of a millennium? Explanation: 200 Scenario: Convert 1696.437 years to millennia. Explanation: 1.696437 Scenario: How many micrometers are there in 4.57294 kilometers? Explanation: 4572940000 Scenario: Convert 0.9774422g to nanograms. Explanation: 977442200 Scenario: What is 419.4039ug in milligrams? Explanation: 0.4194039 Scenario: How many microseconds are there in 84399.63 minutes? Explanation: 5063977800000 Scenario: What is 10/21 of a week in hours? Explanation: 80 Scenario: What is four fifteenths of a hour in seconds? Explanation: 960 Scenario: What is three eighths of a litre in millilitres? Explanation: 375 Scenario: How many seconds are there in 4/15 of a day? Explanation: 23040 Scenario: What is 9048.331g in nanograms? Explanation: 9048331000000 Scenario: What is 11/4 of a gram in milligrams? Explanation: 2750 Scenario: How many minutes are there in 10/9 of a week? Explanation: 11200 Scenario: How many meters are there in 51/5 of a kilometer? Explanation: 10200 Scenario: What is 141036.06ns in minutes? Explanation: 0.000002350601 Scenario: How many millilitres are there in 21/2 of a litre? Explanation: 10500 Scenario: Convert 562.4058 meters to kilometers. Explanation: 0.5624058 Scenario: How many micrometers are there in thirteen eighths of
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numbers: place value -------------------- Statement: What is the hundred thousands digit of 17291512? Fix: 2 Statement: What is the hundred thousands digit of 21652260? Fix: 6 Statement: What is the units digit of 13652? Fix: 2 Statement: What is the tens digit of 203782? Fix: 8 Statement: What is the hundreds digit of 617234990? Fix: 9 Statement: What is the units digit of 238576? Fix: 6 Statement: What is the tens digit of 12765? Fix: 6 Statement: What is the units digit of 753031? Fix: 1 Statement: What is the hundreds digit of 4750? Fix: 7 Statement: What is the ten thousands digit of 26555? Fix: 2 Statement: What is the hundred thousands digit of 236128? Fix: 2 Statement: What is the thousands digit of 1204141? Fix: 4 Statement: What is the tens digit of 740? Fix: 4 Statement: What is the hundred thousands digit of 100746? Fix: 1 Statement: What is the tens digit of 457202? Fix: 0 Statement: What is the tens digit of 11523? Fix: 2 Statement: What is the tens digit of 7208078? Fix: 7 Statement: What is the thousands digit of 664299? Fix: 4 Statement: What is the tens digit of 5748? Fix: 4 Statement: What is the thousands digit of 6572? Fix: 6 Statement: What is the hundreds digit of 93340? Fix: 3 Statement: What is the units digit of 24317? Fix: 7 Statement: What is the thousands digit of 949501183? Fix: 1 Statement: What is the hundreds digit of 38167? Fix: 1 Statement: What is the hundreds digit of 3460? Fix: 4 Statement: What is the millions digit of 2593370? Fix: 2 Statement: What is the ten thousands digit of 27115? Fix: 2 Statement: What is the thousands digit of 10172948? Fix: 2 Statement: What is the ten thousands digit of 12116? Fix: 1 Statement: What is the ten millions digit of 335534457? Fix: 3 Statement: What is the units digit of 1133? Fix: 3 Statement: What is the units digit of 11454? Fix: 4 Statement: What is the tens digit of 51425? Fix: 2 Statement: What is the tens digit of 1583? Fix: 8 Statement: What is the units digit of 791? Fix: 1 Statem
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numbers: div remainder ---------------------- Part A: Calculate the remainder when 213990 is divided by 39. Sol: 36 Part A: Calculate the remainder when 502301 is divided by 920. Sol: 901 Part A: Calculate the remainder when 6905140 is divided by 266. Sol: 46 Part A: What is the remainder when 18167030 is divided by 465821? Sol: 11 Part A: What is the remainder when 393467 is divided by 392993? Sol: 474 Part A: What is the remainder when 367 is divided by 25? Sol: 17 Part A: What is the remainder when 8346 is divided by 2068? Sol: 74 Part A: Calculate the remainder when 83853395 is divided by 1746. Sol: 1745 Part A: Calculate the remainder when 60144 is divided by 1606. Sol: 722 Part A: What is the remainder when 4167 is divided by 54? Sol: 9 Part A: What is the remainder when 43168 is divided by 429? Sol: 268 Part A: What is the remainder when 76 is divided by 8? Sol: 4 Part A: Calculate the remainder when 7996484 is divided by 5. Sol: 4 Part A: What is the remainder when 41479 is divided by 27? Sol: 7 Part A: Calculate the remainder when 68 is divided by 18. Sol: 14 Part A: Calculate the remainder when 924 is divided by 84. Sol: 0 Part A: Calculate the remainder when 1015 is divided by 248. Sol: 23 Part A: Calculate the remainder when 197 is divided by 73. Sol: 51 Part A: Calculate the remainder when 3251856 is divided by 9212. Sol: 20 Part A: What is the remainder when 5416192 is divided by 1354047? Sol: 4 Part A: Calculate the remainder when 164306 is divided by 225. Sol: 56 Part A: Calculate the remainder when 5943227 is divided by 742902. Sol: 11 Part A: What is the remainder when 52 is divided by 8? Sol: 4 Part A: Calculate the remainder when 297 is divided by 15. Sol: 12 Part A: What is the remainder when 5950 is divided by 586? Sol: 90 Part A: What is the remainder when 771 is divided by 57? Sol: 30 Part A: What is the remainder when 104 is divided by 53? Sol: 51 Part A: What is the remainder when 266579 is divided by 20227? Sol: 3628 Part A: What is the re
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numbers: place value -------------------- Topic: What is the ten thousands digit of 32310861? Ans: 1 Topic: What is the ten millions digit of 421423007? Ans: 2 Topic: What is the millions digit of 585858091? Ans: 5 Topic: What is the thousands digit of 94480? Ans: 4 Topic: What is the tens digit of 63294? Ans: 9 Topic: What is the tens digit of 31639595? Ans: 9 Topic: What is the tens digit of 29561? Ans: 6 Topic: What is the hundred thousands digit of 1664798158? Ans: 7 Topic: What is the units digit of 1796? Ans: 6 Topic: What is the units digit of 1661? Ans: 1 Topic: What is the thousands digit of 17009? Ans: 7 Topic: What is the thousands digit of 283931? Ans: 3 Topic: What is the units digit of 132722892? Ans: 2 Topic: What is the thousands digit of 1378? Ans: 1 Topic: What is the thousands digit of 2065? Ans: 2 Topic: What is the hundreds digit of 654297? Ans: 2 Topic: What is the hundred thousands digit of 1309028? Ans: 3 Topic: What is the hundreds digit of 857? Ans: 8 Topic: What is the thousands digit of 1327466? Ans: 7 Topic: What is the billions digit of 2906723967? Ans: 2 Topic: What is the units digit of 49289886? Ans: 6 Topic: What is the hundred thousands digit of 710395? Ans: 7 Topic: What is the thousands digit of 31316? Ans: 1 Topic: What is the ten thousands digit of 282571? Ans: 8 Topic: What is the millions digit of 3063615? Ans: 3 Topic: What is the hundreds digit of 1146? Ans: 1 Topic: What is the tens digit of 75357088? Ans: 8 Topic: What is the ten thousands digit of 28105? Ans: 2 Topic: What is the hundred millions digit of 234257266? Ans: 2 Topic: What is the tens digit of 6074? Ans: 7 Topic: What is the ten millions digit of 19297486? Ans: 1 Topic: What is the hundreds digit of 1121983? Ans: 9 Topic: What is the tens digit of 4009872293? Ans: 9 Topic: What is the hundreds digit of 214966231? Ans: 2 Topic: What is the hundred thousands digit of 112703? Ans: 1 Topic: What is the units digit of 329417? Ans: 7 Topic: What is the units digit
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numbers: is factor ------------------ Prompt: Is 261 a factor of 68062536? Calculation: True Prompt: Does 18 divide 2020952? Calculation: False Prompt: Does 1048 divide 177479848? Calculation: True Prompt: Is 7 a factor of 2675? Calculation: False Prompt: Is 1797792528 a multiple of 24? Calculation: True Prompt: Does 94 divide 15417007? Calculation: False Prompt: Is 18112978 a multiple of 23? Calculation: False Prompt: Is 80 even? Calculation: True Prompt: Is 984 a factor of 296137114? Calculation: False Prompt: Is 49 a factor of 286285? Calculation: False Prompt: Is 16072224 a multiple of 84? Calculation: True Prompt: Is 1369600 a multiple of 20? Calculation: True Prompt: Does 630 divide 114467705? Calculation: False Prompt: Does 31 divide 9310540? Calculation: True Prompt: Is 20 a factor of 293596812? Calculation: False Prompt: Does 264 divide 25211539? Calculation: False Prompt: Is 59096 a multiple of 32? Calculation: False Prompt: Is 17 a factor of 598510874? Calculation: True Prompt: Is 81 a factor of 171036842? Calculation: False Prompt: Is 3 a factor of 3640? Calculation: False Prompt: Is 469 a factor of 2583914? Calculation: False Prompt: Is 8 a factor of 4425175? Calculation: False Prompt: Is 18 a factor of 1395126? Calculation: True Prompt: Does 7 divide 292944? Calculation: False Prompt: Is 169 a factor of 3489022? Calculation: False Prompt: Is 410040 a multiple of 180? Calculation: True Prompt: Does 13 divide 176332? Calculation: True Prompt: Is 313 a factor of 1080476? Calculation: True Prompt: Does 85 divide 117617? Calculation: False Prompt: Does 790 divide 182651950? Calculation: True Prompt: Is 4307 a factor of 1873114300? Calculation: True Prompt: Is 615687 a multiple of 23? Calculation: True Prompt: Does 741 divide 87731436? Calculation: True Prompt: Is 3199 a multiple of 96? Calculation: False Prompt: Is 1265 a factor of 31361880? Calculation: True Prompt: Is 47 a factor of 96225? Calculation: False Prompt: Is 12 a factor of 180? Calculation: Tru
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numbers: is factor ------------------ Prompt: Is 1388 a multiple of 12? Therefore: False Prompt: Does 27 divide 1157? Therefore: False Prompt: Does 26 divide 54102484? Therefore: False Prompt: Is 11350562 a multiple of 134? Therefore: False Prompt: Is 177 a factor of 1933406? Therefore: False Prompt: Is 46 a factor of 842858? Therefore: True Prompt: Is 1069 a multiple of 52? Therefore: False Prompt: Is 2024681060 a multiple of 5? Therefore: True Prompt: Does 21 divide 4276146? Therefore: True Prompt: Is 94 a factor of 1859132? Therefore: True Prompt: Is 33 a factor of 924? Therefore: True Prompt: Does 2308 divide 1175122816? Therefore: True Prompt: Does 1897 divide 106738499? Therefore: True Prompt: Does 425 divide 327549494? Therefore: False Prompt: Is 384 a multiple of 28? Therefore: False Prompt: Is 720918 a multiple of 18? Therefore: True Prompt: Is 455960 a multiple of 745? Therefore: False Prompt: Does 37 divide 5338? Therefore: False Prompt: Is 44 a factor of 1029? Therefore: False Prompt: Is 351 a multiple of 5? Therefore: False Prompt: Is 16302 a multiple of 39? Therefore: True Prompt: Does 18 divide 788? Therefore: False Prompt: Does 36 divide 90153? Therefore: False Prompt: Does 48 divide 20208? Therefore: True Prompt: Does 159 divide 2677381125? Therefore: True Prompt: Is 2370 a factor of 145605690? Therefore: True Prompt: Is 561069016 a multiple of 206? Therefore: True Prompt: Is 43 a factor of 174104? Therefore: False Prompt: Is 331 a factor of 10216315? Therefore: True Prompt: Is 24859256 a multiple of 206? Therefore: True Prompt: Does 6551 divide 563995243? Therefore: True Prompt: Is 43 a factor of 312798069? Therefore: False Prompt: Does 12 divide 1604970384? Therefore: True Prompt: Is 302 a factor of 1388898? Therefore: True Prompt: Does 9 divide 12051? Therefore: True Prompt: Is 16 a factor of 13990896? Therefore: True Prompt: Is 3661 a multiple of 19? Therefore: False Prompt: Does 418 divide 112442? Therefore: True Prompt: Is 43684 a multiple of
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probability: swr p sequence --------------------------- Ask: What is prob of sequence yyz when three letters picked without replacement from {r: 2, y: 3, v: 2, z: 4}? Fix: 4/165 Ask: Calculate prob of sequence yyys when four letters picked without replacement from {y: 5, s: 2}. Fix: 1/7 Ask: Calculate prob of sequence rmm when three letters picked without replacement from {m: 4, r: 7}. Fix: 14/165 Ask: What is prob of sequence wllw when four letters picked without replacement from {w: 12, l: 6}? Fix: 11/204 Ask: Two letters picked without replacement from vvjxqui. What is prob of sequence qx? Fix: 1/42 Ask: Three letters picked without replacement from oislsiisliisi. Give prob of sequence ioi. Fix: 5/286 Ask: Calculate prob of sequence ee when two letters picked without replacement from {o: 1, g: 4, b: 3, e: 12}. Fix: 33/95 Ask: Calculate prob of sequence ccg when three letters picked without replacement from gcccgcc. Fix: 4/21 Ask: What is prob of sequence ycy when three letters picked without replacement from {c: 3, y: 7}? Fix: 7/40 Ask: Calculate prob of sequence rc when two letters picked without replacement from {c: 1, r: 7, f: 11}. Fix: 7/342 Ask: Three letters picked without replacement from xxrraraxxxrxrxarxrx. What is prob of sequence arx? Fix: 21/646 Ask: Four letters picked without replacement from {y: 2, n: 3, k: 12}. Give prob of sequence ynyy. Fix: 0 Ask: Two letters picked without replacement from {q: 1, y: 1, a: 3, n: 1, j: 6}. What is prob of sequence qa? Fix: 1/44 Ask: What is prob of sequence gd when two letters picked without replacement from {d: 1, g: 2, q: 1, o: 4}? Fix: 1/28 Ask: What is prob of sequence qm when two letters picked without replacement from mmuqgggmqmqnq? Fix: 4/39 Ask: What is prob of sequence wdwd when four letters picked without replacement from {d: 5, e: 3, w: 2, l: 2}? Fix: 1/297 Ask: Two letters picked without replacement from {l: 3, v: 1, m: 1}. Give prob of sequence ml. Fix: 3/20 Ask: Calculate prob of sequence yye when
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