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? False Is 357 a factor of 146873013? True Is 107122776 a multiple of 3? True Is 136785180 a multiple of 610? True Is 24 a factor of 220223385? False Does 125 divide 8894594? False Does 86 divide 127288858? True Is 489798033 a multiple of 27? False Does 345 divide 97668810? True Does 1010 divide 1546621409? False Does 8227 divide 281799431? True Is 127565814 a multiple of 4355? False Does 106 divide 11626012? False Is 6 a factor of 7769190? True Is 122 a factor of 66609194? True Is 1721800 a multiple of 5? True Is 76 a factor of 52646057? False Is 8 a factor of 453143776? True Is 18834122 a multiple of 201? False Does 1816 divide 2734360280? True Is 58 a factor of 70885886? False Does 20 divide 1005891978? False Is 3 a factor of 877542? True Does 1326 divide 55515453? False Does 8 divide 84689936? True Does 662 divide 188407186? True Is 72 a factor of 34564425? False Is 7 a factor of 10442859? True Is 858 a factor of 33056166? True Is 1519933541 a multiple of 40? False Is 51721530 a multiple of 3? True Is 220877370 a multiple of 10? True Does 1016 divide 25452832? True Does 410 divide 80624650? False Is 4813572949 a multiple of 243? False Is 229 a factor of 1041757062? False Does 55 divide 5464895? False Is 49 a factor of 145548473? True Does 1920 divide 38325120? True Does 1071 divide 2387070? False Is 56 a factor of 179284840? True Is 419 a factor of 40407955? False Is 681 a factor of 266817843? True Is 224 a factor of 17073314? False Does 4814 divide 208301780? True Does 6 divide 12350057? False Does 131 divide 1964084834? True Does 9 divide 1966841622? True Is 2266 a factor of 236201042? True Does 468 divide 12248805? False Is 1214212000 a multiple of 2000? True Is 3005 a factor of 96433455? True Is 52356490 a multiple of 11? False Is 37 a factor of 216014595? False Is 751 a factor of 29749707? False Is 544 a factor of 17529489? False Is 748 a factor of 68317832? True Is 86340782 a multiple of 206? False Is 7 a factor of 33650981? True Is 9 a factor of 53029031? False Is 109 a factor of 4443603? True Is 444697101 a multiple of 11? False Is 6182347 a multiple of 297? False Does 1385 divide 520347665? False Does 17 divide 17828085? False Is 4 a factor of 588986184? True Does 12 divide 179921268? True Is 99 a factor of 383172273? True Is 111897704 a multiple of 6? False Is 552196 even? True Does 19 divide 131983675? False Does 3868 divide 897472749? False Is 51758159 a multiple of 1514? False Does 7 divide 13518176? True Is 1401050011 a multiple of 636? False Is 397072032 a multiple of 6? True Does 128 divide 81118361? False Is 72 a factor of 290661823? False Is 36 a factor of 159354036? True Does 1583 divide 44010031? False Is 46933186 a multiple of 103? True Is 804 a factor of 50508084? True Is 96 a factor of 57910272? True Is 249 a factor of 348062658? True Is 93 a factor of 291057636? True Is 11 a factor of 266266158? False Does 753 divide 22708974? True Is 18 a factor of 43527744? True Does 548 divide 22378676? True Does 533 divide 439460632? True Is 16282994 a multiple of 49? True Is 10 a factor of 4287445460? True Is 43342952 a multiple of 95? False Is 659 a factor of 403728051? False Is 258 a factor of 40137060? True Is 45891606 a multiple of 605? False Is 36672900 a multiple of 825? True Is 1125 a factor of 396700875? True Is 51 a factor of 8662846? False Is 879 a factor of 43134463? False Does 2462 divide 455470? True Is 134358460 a multiple of 790? True Is 505 a factor of 45864457? False Is 4297330 a multiple of 1357? False Is 348 a factor of 33825443? False Is 481 a factor of 224958409? True Does 5 divide 118021895? True Does 3 divide 2473862? False Is 1305 a factor of 342616005? True Does 163 divide 23720249? True Does 3811 divide 44379095? True Is 53 a factor of 117084102? True Does 7 divide 46204113? False Is 5178 a factor of 1470054912? True Does 608 divide 865401056? True Is 3337424 a multiple of 16? True Is 26 a factor of 382519247? False Is 22 a factor of 660021830? False Is 1339191 a multiple of 18? False Is 185 a factor of 18541720? False Is 23590552 a multiple of 38? True Is 52941315 a multiple of 105? True Is 1301195 a multiple of 10? False Is 851090206 a multiple of 1702? True Is 140197588 a multiple of 31? False Is 8 a factor of 124146416? True Is 46687286 a multiple of 190? False Does 309 divide 6584008? False Is 15 a factor of 64212832? False Is 2132 a factor of 3853095346? False Is 13 a factor of 490224846? False Is 97774494 a multiple of 57? True Is 3733978257 a multiple of 20? False Is 15 a factor of 20789725? False Is 2238144350 a multiple of 1003? True Does 1262 divide 163857831? False Does 297 divide 202908081? False Does 4 divide 552331336? True Does 1259 divide 264090358? True Is 36 a factor of 900287354? False Does 8 divide 649033918? False Is 44893725 even? False Does 221 divide 103731541? False Does 1687 divide 1317560496? True Is 68 a factor of 311261500? True Is 44562073 a multiple of 2? False Does 13 divide 297993417? False Is 29865562 a multiple of 11? False Does 44 divide 3543540? True Is 6255025 a multiple of 775? True Is 22 a factor of 208235540? False Does 2488 divide 23382224? True Is 421696168 a multiple of 415? False Is 4699 a factor of 1314117641? True Is 29394288 a multiple of 113? False Does 1640 divide 46289000? True Does 20 divide 15391964? False Is 5837293928 a multiple of 13429? False Is 24446957 a multiple of 72? False Is 22 a factor of 56466784? True Does 369 divide 142244334? True Does 1547 divide 109432243? False Is 14 a factor of 90980190? True Is 157 a factor of 27032064? False Is 2170 a factor of 1401990718? False Does 1300 divide 72563400? True Is 13 a factor of 1236393683? False Is 276 a factor of 1310574054? False Is 145913808 a multiple of 12? True Is 15542640 a multiple of 164? False Does 9 divide 6940776? False Is 3003878391 a multiple of 16? False Does 925 divide 137661428? False Is 1642 a factor of 372106756? True Is 3 a factor of 15121112? False Does 13 divide 1119604421? True Does 12 divide 1927524861? False Is 1055 a factor of 657626865? True Does 10 divide 7284720? True Does 886 divide 1432736184? False Is 29 a factor of 129189142? True Does 501 divide 630858441? False Does 13 divide 4683159? True Does 15 divide 192078105? True Does 5246 divide 1414655488? False Is 243005922 a multiple of 11? False Is 8 a factor of 22404368? True Does 608 divide 959050688? True Does 565 divide 109181730? True Does 45 divide 80972474? False Is 1304 a factor of 562486920? True Is 10989225 a multiple of 39? True Is 701875137 a multiple of 4? False Does 331 divide 42233283? True Is 2204 a factor of 74052196? True Is 11721781 a multiple of 1238? False Is 21 a factor of 318127585? False Is 533617392 a multiple of 22? True Is 1313 a factor of 939772873? False Does 1333 divide 446451286? False Does 1669 divide 2407233749? True Does 50 divide 15039550? True Is 1622 a factor of 974788481? False Is 7363972 a multiple of 243? False Is 115 a factor of 22245316? False Does 9 divide 25464033? True Is 141395340 a multiple of 1140? True Is 31400277 a multiple of 141? True Does 20 divide 1510960? True Is 29 a factor of 453241145? True Is 26117026 a multiple of 14? False Does 82 divide 4702044? True Is 99 a factor of 12533919? False Is 13167059 a multiple of 27? False Is 151 a factor of 75654021? False Does 17 divide 135784202? True Is 972 a factor of 39264863? False Is 360482489 a multiple of 61? True Is 256159312 a multiple of 3412? True Is 16 a factor of 223447103? False Is 20697632 a multiple of 1366? True Is 14478272 a multiple of 3? False Does 2 divide 11509784? True Is 1543588516 a multiple of 89? False Is 181320883 a multiple of 5? False Is 54 a factor of 597270348? True Is 420545 a multiple of 12? False Is 277512760 a multiple of 14? True Is 1509 a factor of 170006958? True Is 241860022 a multiple of 10? False Is 15906660 a multiple of 605? True Is 353356542 a multiple of 2838? True Is 7057008 a multiple of 14? True Is 366 a factor of 27062322? False Is 3212 a factor of 313825248? True Does 25 divide 2599400? True Does 168 divide 48816264? True Is 13782 a factor of 1101748216? False Is 10 a factor of 18507563? False Is 17 a factor of 11878903? True Is 1809920327 a multiple of 83? True Is 20
{ "pile_set_name": "DM Mathematics" }
rounded to 6 dps? -0.000129 Round -58.3450612 to zero decimal places. -58 Round 0.00895079661 to 6 decimal places. 0.008951 What is 25029540.57 rounded to the nearest one thousand? 25030000 What is -0.000416026272 rounded to 3 decimal places? 0 What is 229467128 rounded to the nearest 1000000? 229000000 Round -0.0000085898264 to six decimal places. -0.000009 What is -626970650 rounded to the nearest one million? -627000000 Round 0.296698507 to three decimal places. 0.297 Round 0.00461322214 to six dps. 0.004613 Round 2301195400 to the nearest 100000. 2301200000 What is 0.0013561776464 rounded to four dps? 0.0014 What is 0.000040118415022 rounded to six dps? 0.00004 What is -136.7283256 rounded to the nearest 10? -140 Round -0.00000356451311 to 7 dps. -0.0000036 What is -176.06219 rounded to the nearest 10? -180 What is 86.427487 rounded to two dps? 86.43 Round -796.470531 to the nearest integer. -796 Round -3.1833962 to 1 dp. -3.2 What is -209554.8 rounded to the nearest 1000? -210000 Round 502.094299 to the nearest one hundred. 500 What is -0.66390527 rounded to four decimal places? -0.6639 What is 935.09883 rounded to the nearest integer? 935 Round 0.0137847833 to 2 decimal places. 0.01 Round -0.007959524 to 3 dps. -0.008 What is 40928668 rounded to the nearest one hundred thousand? 40900000 Round -2.37553167 to one dp. -2.4 What is 0.00267150404 rounded to 2 decimal places? 0 Round 0.8793333 to 1 dp. 0.9 What is -0.312445209 rounded to 5 decimal places? -0.31245 What is -0.0000011596293129 rounded to seven decimal places? -0.0000012 Round -0.0005082666 to five decimal places. -0.00051 Round -0.0004311196 to 6 dps. -0.000431 Round -0.00897263125 to four decimal places. -0.009 What is -6.766778338 rounded to four decimal places? -6.7668 Round 76.26328 to zero decimal places. 76 What is -0.44799217 rounded to three decimal places? -0.448 What is -70158.572 rounded to the nearest one hundred? -70200 What is -262083.5301 rounded to the nearest 100000? -300000 Round -0.0012439868427 to four dps. -0.0012 What is -176395.027 rounded to the nearest one thousand? -176000 What is 29.999112 rounded to 0 dps? 30 Round 964.0849195 to 2 decimal places. 964.08 What is -0.943960342 rounded to 1 dp? -0.9 Round 3.04380821 to three dps. 3.044 What is 1.83854658 rounded to one decimal place? 1.8 What is -30766264000 rounded to the nearest 1000000? -30766000000 Round 0.04181349921 to five dps. 0.04181 Round 78346.465 to the nearest 1000. 78000 What is -0.00000621565766 rounded to six decimal places? -0.000006 Round 5.292423992 to 1 decimal place. 5.3 Round 13423.5962 to the nearest one hundred. 13400 Round -0.0182010419 to 5 dps. -0.0182 Round -7979719.27 to the nearest 1000000. -8000000 What is 363560.832 rounded to the nearest 10000? 360000 Round 231249600 to the nearest one million. 231000000 Round 0.001340096084 to 5 dps. 0.00134 What is -0.3018522307 rounded to 3 dps? -0.302 Round 0.00983629353 to three dps. 0.01 Round 343084492.9 to the nearest one hundred thousand. 343100000 Round 5183584900 to the nearest 1000000. 5184000000 Round 1.2038752061 to 4 decimal places. 1.2039 Round 45647.8923 to the nearest 100. 45600 Round -51365957.3 to the nearest 10000. -51370000 Round 0.04788998867 to 2 dps. 0.05 Round -0.0003035516 to 6 dps. -0.000304 What is -2514.26219 rounded to the nearest 100? -2500 Round 1.02216668 to four dps. 1.0222 Round -718.234469 to one decimal place. -718.2 Round 0.00000128555087 to seven dps. 0.0000013 What is -89.081981 rounded to the nearest integer? -89 Round -0.00000211678856 to 7 dps. -0.0000021 Round 44519146600 to the nearest one million. 44519000000 Round 0.00002857703392 to 7 dps. 0.0000286 Round 32140.5619 to the nearest 10000. 30000 What is -262.9882002 rounded to the nearest integer? -263 What is -72.0352911 rounded to 0 dps? -72 Round 0.000104840069 to 5 decimal places. 0.0001 What is 8530.365419 rounded to the nearest integer? 8530 Round -0.00002066970985 to 6 dps. -0.000021 Round -512.85571 to the nearest 100. -500 What is -7174.78533 rounded to the nearest one hundred? -7200 What is -799.8826 rounded to 0 decimal places? -800 What is 373.480367 rounded to 1 dp? 373.5 Round 70733.6187 to 0 decimal places. 70734 What is 0.069923466 rounded to five dps? 0.06992 Round 832931.629 to the nearest 1000. 833000 What is -578.580996 rounded to the nearest 100? -600 Round -16134.68808 to the nearest 100. -16100 Round 47221.649 to the nearest 100. 47200 Round -10831.57533 to the nearest one hundred. -10800 Round -0.000071175485 to five dps. -0.00007 Round 1623662860 to the nearest one million. 1624000000 Round 0.0070503277 to five decimal places. 0.00705 What is 1.95527299 rounded to 2 dps? 1.96 What is 0.0000144346715 rounded to 7 dps? 0.0000144 Round -13749785.64 to the nearest 10000. -13750000 What is 0.00000815802468 rounded to 6 decimal places? 0.000008 Round 208.522996 to two dps. 208.52 Round 0.242125453 to 2 dps. 0.24 Round -336249.328 to the nearest 100. -336200 What is 0.170402122 rounded to 5 dps? 0.1704 What is -0.000571788867 rounded to 7 dps? -0.0005718 Round 105301.0061 to the nearest ten thousand. 110000 Round 583352.57 to the nearest one hundred thousand. 600000 Round 1045256.5381 to the nearest one thousand. 1045000 What is -817483.852 rounded to the nearest one thousand? -817000 Round 8.16216548 to two decimal places. 8.16 Round 9.712463033 to 1 decimal place. 9.7 Round -463540.92 to the nearest one hundred. -463500 Round -0.0354291071 to three decimal places. -0.035 What is 0.0012254231 rounded to six decimal places? 0.001225 Round -0.0003706388339 to four dps. -0.0004 What is 0.0000046656873 rounded to 7 decimal places? 0.0000047 What is -441033.938 rounded to the nearest 1000? -441000 Round -63999.18629 to the nearest 10000. -60000 Round -0.3782577934 to 2 dps. -0.38 Round 2.746392872 to 2 dps. 2.75 What is 8702.04819 rounded to the nearest 100? 8700 Round -27517.347 to the nearest 1000. -28000 What is -71755880 rounded to the nearest one million? -72000000 What is -293016.47 rounded to the nearest 100000? -300000 What is 4579.84056 rounded to zero dps? 4580 Round -22649.94446 to zero dps. -22650 What is -0.006538257297 rounded to 4 dps? -0.0065 What is -6130818.9 rounded to the nearest 100? -6130800 What is 5.09474262 rounded to 2 decimal places? 5.09 What is 0.13462738 rounded to 2 dps? 0.13 Round -45.8093685 to one dp. -45.8 Round 0.0139021773 to four decimal places. 0.0139 Round -126436623.7 to the nearest 10000. -126440000 Round 228.005581 to the nearest 10. 230 Round -21248.639 to the nearest one hundred. -21200 Round -25.0131329 to 2 dps. -25.01 Round 542.94465 to the nearest 10. 540 Round 4.0402975 to two decimal places. 4.04 What is 4.14925447 rounded to zero decimal places? 4 What is 175.32392 rounded to 2 dps? 175.32 What is 19.15596374 rounded to one dp? 19.2 Round 508288.88 to the nearest one hundred. 508300 What is -165434.58269 rounded to the nearest one thousand? -165000 Round -0.0000385764974 to 5 decimal places. -0.00004 Round 403357.94 to the nearest 100. 403400 Round 121027410 to the nearest 100000. 121000000 Round 0.0003732097982 to five dps. 0.00037 Round 148149.897 to the nearest 100. 148100 Round 0.001392737381 to 5 decimal places. 0.00139 Round 0.040381991 to 2 dps. 0.04 Round 0.0628536934 to 6 decimal places. 0.062854 Round -78921878.2 to the nearest 10000. -78920000 What is 1.43424356 rounded to 1 decimal place? 1.4 Round 1676.9005 to zero decimal places. 1677 What is -0.001465570741 rounded to seven decimal places? -0.0014656 What is 0.1961362154 rounded to 4 dps? 0.1961 Round 0.73503175 to three dps. 0.735 Round -0.207313996 to four dps. -0.2073 Round 14393.078 to the nearest ten thousand. 10000 Round -1.8527357986 to five dps. -1.85274 What is 27.39869138 rounded to the nearest integer? 27 Round -0.0000125556503 to seven decimal places. -0.0000126 What is -35701811.14 rounded to the nearest 100000? -35700000 What is -165353998 rounded to the nearest ten thousand? -165350000 What is 0.253326433 rounded to five dps? 0.25333 Round 4816567.18 to the nearest 1000000. 5000000 What is 0.0004405179092 rounded to 4 dps? 0.0004 Round 1.377616819 to three decimal places. 1.378 Round 3.18069
{ "pile_set_name": "DM Mathematics" }
alue in -1, f, 2? 2 Let f be (-10)/(-5) + (-12)/5. Which is the second biggest value? (a) -2 (b) 3/2 (c) f c Let n = -0.2 + 0.3. Let k be 20/6 + (-2)/(-3). Let t = -5 + k. Which is the second smallest value? (a) t (b) -5/3 (c) n a Let i = 115.9 + -116. What is the third smallest value in 0.05, 4/7, i, 0.3? 0.3 Suppose 29 = -3*o - 4*w + 3, 2*o = 4*w - 4. Let h be (-3)/o - (0 + -2). What is the smallest value in h, 0.4, -2? -2 Let k = -20 - -59/3. What is the smallest value in k, 1/9, 2/3? k Let m = -9.69 - -10. Let g = 0.19 + m. Which is the smallest value? (a) 2/25 (b) g (c) -3/5 c Let g = -0.016 - -0.516. What is the third smallest value in g, -5, -3? g Suppose -4*w + 24 + 4 = 0. Let g be 2/w + (-36)/(-21). Let n = -1.1 - -0.1. What is the biggest value in n, 0.4, g? g Let h = -8 + 6. Let w = -0.6 - -0.57. Which is the third smallest value? (a) w (b) -0.4 (c) h a Let f = 11 + -7. What is the second smallest value in f, 18, 2? f Let t(n) = -n**3 - 2*n**2 + n - 2. Let v be t(-2). Let p be (-3)/(-2)*7/(-24). Let j = 1/16 - p. What is the second smallest value in 0.1, j, v? 0.1 Suppose -7 = -m - 4. Suppose 3*l - 18 = m*z, -z - 3 = -3*l + 9. Which is the third biggest value? (a) -5 (b) z (c) 0.1 a Let i be ((-91)/21 - -3)*6/20. Which is the fourth smallest value? (a) 0.5 (b) 4/7 (c) 0.2 (d) i b Let k = -4 + 8. Let r = 16 - 15.97. Let f = r - 3.03. Which is the second biggest value? (a) 1/4 (b) k (c) f a Let w = 485.93 - 488. Let x = w - -0.07. Which is the second smallest value? (a) x (b) 4 (c) -1/4 c Suppose -11 = -3*u - 2. Suppose u*k - 6*k = 0. Which is the third smallest value? (a) k (b) 3 (c) -5 b Suppose -4*g - 2 = -3*g, w + 4 = -g. Let d be w/40 + (-1)/(-4). What is the third smallest value in d, 4, 3? 4 Let j = 15 - 15.5. Let m = 0.5 - j. Which is the biggest value? (a) m (b) -5 (c) -2 a Let v = -15.4 - -24. Let r = 8 - v. Let y = r - -0.1. Which is the smallest value? (a) y (b) 1/6 (c) -3 c Suppose 0*w + 3*w - 6 = 3*j, -4*w + 11 = -5*j. What is the third smallest value in 1, 0, j? 1 Suppose t - 3*d - d = -4, -4*t = d - 18. Which is the second smallest value? (a) -4 (b) t (c) 4/9 c Let h = -16 - -29. Let d = h - 13. Which is the biggest value? (a) 0.06 (b) d (c) 1/3 c Let u = 0.068 - 0.568. Let x = -2 - -1.8. What is the third smallest value in 4, u, x? 4 Let r = 18 - 25. Let t = 2 + r. Which is the second smallest value? (a) -4 (b) t (c) 0.5 a Let k = 7 - 8. Let i = -72 - -650/9. Let b = i - 0. What is the second smallest value in k, 1, b? b Let r be 12/9*(-3)/2. Let t = -19 - -12. Let s = t - -11. What is the third biggest value in 3, s, r? r Let l = -26 + 17. Which is the biggest value? (a) 1/5 (b) l (c) -0.2 a Let h be ((2/(-1))/1)/11. Let m = 0.2 + 0.8. Let n = -2 - m. Which is the third smallest value? (a) h (b) 4 (c) n b Let k = -63 - -61. Which is the smallest value? (a) k (b) 1 (c) 2/9 (d) -1 a Let r be 8/36 - 43/72. Let x(z) = -2*z**2 + 2*z - 1. Let s be x(1). Let m = 5/4 + s. Which is the second smallest value? (a) -1 (b) m (c) r c Let w = 41 + -40. Which is the third biggest value? (a) 4 (b) -0.1 (c) -4 (d) w b Let v = -0.8 - -0.7. Let k = -105.9 + 101. Let s = v + k. What is the third biggest value in s, -1/11, -1? s Let f = 8 - 8.7. Let k = f + 0.8. Which is the third smallest value? (a) k (b) 2/9 (c) -3/5 b Let a be (3 + (-40)/12)*12/(-44). Let z = 0.1 - -0.4. What is the second biggest value in -4/7, a, z? a Suppose j - 11 = 5*p - 31, -3*j = -4*p + 27. What is the third biggest value in -1, p, 3/7? -1 Let g = 0.2 + -0.2. Let m = -0.17 - -4.17. Which is the smallest value? (a) m (b) -0.1 (c) g b Let l(q) = q**3 - 4*q**2 + 3*q - 2. Let r = -2 - -5. Let y be l(r). Let v be 0/(5 - (-1 + 4)). What is the second biggest value in y, v, 0.2? v Let c = 55 + -52. What is the biggest value in -0.5, c, 1/2? c Suppose 0 = -4*u + 1 + 71. Suppose u - 2 = -4*g. Which is the second smallest value? (a) -0.2 (b) g (c) -3/8 c Let t be (72/(-90))/((-6)/5). What is the second biggest value in t, -4, -3, -2.3? -2.3 Let s = -0.1 - 0.1. Let c = 16 - 15.8. Let u = c - s. What is the third biggest value in u, 3, -0.1? -0.1 Let p = -699/2 + 367. Let j = p + -18. What is the second smallest value in j, 3, -0.2? -0.2 Suppose 3*x - 15 = 2*h, -x - 4*x + 23 = -4*h. Suppose -3*g - 2*i + 9 = 0, 5*g + 2*i - 4 = 7. Which is the smallest value? (a) x (b) 2/15 (c) g b Let p be 7 + -3 + (-68)/16. Suppose -m = -0 - 2. What is the second smallest value in p, 3/5, m? 3/5 Let v = 21.6 + -20. Let h = -1.1 + v. What is the smallest value in 2, 4, h? h Suppose 12 = -3*u, 2*y + u - 38 = 6*u. Let m = y + -9. Which is the second smallest value? (a) m (b) 5 (c) -2 a Let h(l) = l**3 + 3*l**2 - 4*l + 2. Let s be h(-4). Suppose s - 12 = -2*p. Let n = 4 + -7. Which is the third biggest value? (a) p (b) 4/7 (c) n c Let r = 50 - 349/7. Let k = 5 - 4.7. What is the second biggest value in k, r, -2/9? r Let s = 7 + -5. Which is the third smallest value? (a) s (b) 3 (c) -2 b Let i = -17/42 - 2/21. What is the biggest value in -1/3, -1, i? -1/3 Let t = -1.7 + 2. Let m = t - 0.3. Let y = m + 0.1. What is the second smallest value in -0.2, y, -0.5? -0.2 Let c be 3*(-2 + 30/9). What is the third smallest value in c, -2/11, -1/3? c Let w = 0.3 - 0.1. What is the smallest value in w, -2, -5? -5 Let d = 7 + -3. Which is the smallest value? (a) -1 (b) d (c) 1/5 a Let l(c) = -3*c**3 + c. Let i be l(-1). Let d = 8 - 12. What is the biggest value in d, i, 1? i Let m = -134/165 - -2/165. Which is the second smallest value? (a) 1/5 (b) 1 (c) m a Let v = 41.2 + -41. Suppose -2*d = d. Let f be (-1 - d) + (-7)/(-5). What is the third biggest value in f, v, 1/3? v Let r be 6/(-4)*5/(-75). Let j = -67/20 + r. Let h = 7/2 + j. What is the third biggest value in -1/4, 0.4, h? -1/4 Let j = -174 - -1220/7. Let w be ((-2)/8)/((-15)/(-24)). Which is the second biggest value? (a) j (b) -2 (c) w c Let g be ((-5)/(-15) - 177/(-36))/3. What is the third smallest value in g, -1, -3, -1/5? -1/5 Let h = -45 + 49. Which is the third biggest value? (a) 0.5 (b) -5 (c) 0.2 (d) h c Let y = 6 + -3. Let r = 3.5 - y. Which is the third biggest value? (a) r (b) 1 (c) -5 c Let s = 0.06 - -0.34. Let b = 0.4 + -0.3. Let h = -3 + 5. What is the biggest value in s, h, b? h Let j = -1694/9 - -188. Which is the smallest value? (a) -0.3 (b) 0.4 (c) j a Let s be -1 - 3/((-9)/7). Let t = -0.1 + 0.1. Let r = -5 - -4.5. What is the third smallest value in r, t, s? s Let w = 0.05 - -0.03. Let b = 4.08 - w. What is the third biggest value in 2, -1, b? -1 Let l = 4.95 - -0.05. Let g = -4.9 + l. Which is the biggest value? (a) -1/4 (b) 4 (c) g b Let t = 0.3 + 0.7. Let h = -0.4 + -0.1. What is the third biggest value in h, -3/2, t? -3/2 Let z be (0 - 1) + 9/8. Suppose -17*v + 19*v = -8. Which is the second biggest value? (a) z (b) v (c) 3 a Let j = 3 + -3.03. Let n = -0.27 + j. Let r = 0.23 - -0.17. Which is the second biggest value? (a) r (b) -2 (c) n c Let q = -51 - -50.7. Which is the third biggest value? (a) -1/2 (b) q (c) -3 (d) 2 a Let s = -5701/35350 + 16/101. Let n be ((-1542)/(-700))/(-1) - -3. Let f = s - n. Which is the second biggest value? (a) f (b) 5/6 (c) -1 a Let k = 3.6 + -14.6. Which is the third biggest value? (a) -2/9 (b) k (c) 3 (d) 1 a Let g be 6/21 + (2 - 106/28). Which is the biggest value? (a) -2 (b) g (c) -5 b Let f = -0.17 - -1.07. Let k = f - 1.3. Which is the second biggest value? (a) 0.5 (b) 1 (c) k a Let o = 0.3 + 4.7. Let m be 1*-1*2/18. What is the third smallest value in o, 5/3, m? o Let p = 174 - 169. Which is the smallest value? (a) p (b) 0.2 (c) 0.1 c Let a = 2/51 + 43/204. What is the fourth smallest value in a, -7, -4/3, -0.3? a Let n be (-2 - -3)/((-5)/15). What is the second smallest value in n, -1, 0.03? -1 Let v be (-96)/(-90) - (-2)/(-3). What is the third smallest value in 0.3, 4, v? 4 Let u = 23 - 28. Which is the third smallest value? (a) u (b) -2/9 (c) -1 b Let j be (-6)/(-2) + 4/(-8)*1. Which is the third smallest value? (a) 2/11 (b) j (c) 3 (d) -1/7 b Let p = 19 + -5. What is the second biggest value in p, 1/5, -4, 2/13? 1/5 Let b be (9/((-405)/12))/(
{ "pile_set_name": "DM Mathematics" }
v(z) = 28*z + 2. Calculate v(1). 30 Let r(f) = 9*f - 61. Give r(9). 20 Let k(l) = l + 4. Calculate k(-29). -25 Let q(y) = y - 20. Calculate q(10). -10 Let m(n) = -41*n + 103. What is m(3)? -20 Let j(c) = -c**2 + 7*c + 7. What is j(4)? 19 Let s(t) = -2*t - 17. Determine s(-7). -3 Let y(z) = -5*z**2 + 15*z - 8. Give y(4). -28 Let r(k) = -k**3 - k + 131. What is r(0)? 131 Let b(l) = l**3 + 5*l**2 - 2*l - 3. Calculate b(-6). -27 Let g(d) = d**2 - 13*d + 25. What is g(10)? -5 Let g(v) = v**3 - 7*v**2 + 2*v - 12. Determine g(7). 2 Let s(j) = -j**2 + 14*j + 27. What is s(14)? 27 Let c(o) = 12*o + 12. What is c(-4)? -36 Let l(i) = -4*i + 1. Determine l(2). -7 Let u(v) = 16*v + 40. Determine u(-3). -8 Let i(s) = -s**3 + 26*s**2 - 162*s + 14. Determine i(10). -6 Let g(r) = -r**2 - 59*r - 663. What is g(-44)? -3 Let h(t) = -t**3 + t**2 + 1. Calculate h(3). -17 Let w(r) = -6*r - 3. Calculate w(-1). 3 Let p(x) = x**2 - 11*x - 13. What is p(14)? 29 Let v(z) = -z - 17. Calculate v(-20). 3 Let x(w) = w**2 - 18*w + 77. Calculate x(8). -3 Let p(x) = -2*x**3 + x**2 + 6*x - 4. Determine p(2). -4 Let q(r) = r**2 + 12*r + 35. What is q(-7)? 0 Let o(c) = -c**3 - 10*c**2 - 18*c - 19. Determine o(-8). -3 Let c(s) = s**3 - 14*s**2 - 2. Give c(14). -2 Let c(a) = 2*a**3 - 43*a**2 - 23*a + 16. Determine c(22). -6 Let i(n) = -2*n - 1. What is i(3)? -7 Let b(n) = n**3 + 10*n**2 + 2. What is b(-10)? 2 Let j(q) = q**2 - 14. Give j(0). -14 Let k(n) = -n**3 + n + 18. Calculate k(0). 18 Let j(c) = c**2 + 13*c + 47. Give j(-9). 11 Let t(k) = -6*k - 10. Give t(-9). 44 Let k(m) = -m**2 + 5. What is k(-4)? -11 Let d(m) = -30*m + 1. What is d(-4)? 121 Let n(x) = 110*x - 775. What is n(7)? -5 Let f(v) = 10*v**2 + 5*v - 2. What is f(1)? 13 Let s(w) = 2*w + 39. Determine s(-9). 21 Let j(s) = -s**3 - 7*s**2 + 5*s - 2. What is j(-8)? 22 Let t(s) = 2*s**2 + 5*s - 32. Calculate t(-5). -7 Let b(q) = q**2 - 4*q - 1. Determine b(-4). 31 Let k(s) = 2*s + 42. Calculate k(-23). -4 Let d(s) = 3*s**3 - 1. Calculate d(2). 23 Let r(l) = -l**2 - 8*l + 92. What is r(-14)? 8 Let l(y) = y**3 + 6*y**2 + 2*y - 8. Calculate l(-5). 7 Let c(s) = s**3 - 13*s**2 - 11*s - 20. Determine c(14). 22 Let p(z) = -34*z + 45. Give p(5). -125 Let z(p) = -p**3 - 7*p**2 + p + 2. Give z(-6). -40 Let v(g) = 2*g**2 - 7*g. Calculate v(3). -3 Let t(c) = -3*c - 13. Determine t(-3). -4 Let d(q) = q - 10. Calculate d(9). -1 Let s(u) = u**2 + 15*u + 44. Calculate s(-11). 0 Let h(d) = -8*d - 4. Calculate h(1). -12 Let q(x) = 11*x - 22. Determine q(7). 55 Let f(t) = 3*t**2 + 7*t + 1. Determine f(-3). 7 Let x(y) = 3*y + 28. Give x(-12). -8 Let x(z) = -z**3 + 9*z**2 + z + 6. Determine x(9). 15 Let x(v) = 10*v**2 + 2*v. Give x(1). 12 Let q(o) = -7*o - 38. Determine q(-5). -3 Let i(c) = c**2 - 3*c + 2. Determine i(1). 0 Let b(w) = 2*w**3 - 5*w**2 + 5*w - 3. Give b(3). 21 Let k(x) = -3*x**3 - 12*x**2 - x + 7. Calculate k(-3). -17 Let m(d) = -d**3 + 5*d**2 - d - 1. Give m(5). -6 Let w(v) = -2*v + 4. Determine w(-12). 28 Let o(t) = -t**3 + 5*t**2 - 17. What is o(5)? -17 Let y(q) = q**3 + q**2 + 4*q + 3. Calculate y(-2). -9 Let o(y) = -y**3 - 4*y**2 - 9*y - 16. What is o(-5)? 54 Let q(u) = u + 9. What is q(-9)? 0 Let g(a) = -a**3 + 19*a**2 - 18*a - 5. Calculate g(18). -5 Let n(t) = -6*t - 4. Calculate n(-4). 20 Let p(h) = -3*h**3 + 26*h**2 + 7*h + 26. Determine p(9). 8 Let m(k) = -k**3 + 2*k**2 + 2*k - 3. Determine m(3). -6 Let l(z) = -z**3 + 9*z**2 - 20*z + 12. Determine l(7). -30 Let z(j) = -j**2 - 15*j - 15. Calculate z(-12). 21 Let s(a) = -a - 14. Determine s(-15). 1 Let f(d) = d**3 + 3*d**2 + d. Determine f(-3). -3 Let w(m) = 3*m**2 - 36*m + 20. Calculate w(11). -13 Let w(s) = 44*s + 1052. What is w(-24)? -4 Let r(w) = w**2 - 14*w - 18. What is r(15)? -3 Let a(z) = z - 20. Calculate a(10). -10 Let f(y) = -4*y**2 - 53*y - 54. What is f(-12)? 6 Let y(p) = -2*p + 7. Calculate y(8). -9 Let n(b) = 11*b - 92. Determine n(11). 29 Let i(l) = l**2 - 6*l - 17. Determine i(8). -1 Let l(p) = -4*p**2 + 19*p + 1. Calculate l(5). -4 Let f(z) = z**3 - 4*z**2 + 2*z - 1. Calculate f(3). -4 Let z(u) = -u**3 + 6*u**2 - 9*u + 7. Give z(3). 7 Let w(y) = y**2 + y + 1. Give w(-7). 43 Let p(i) = i**3 - 9*i**2 + 2*i + 12. Calculate p(9). 30 Let g(y) = 7*y**3 + y + 1. Give g(-1). -7 Let q(m) = m - 2. Give q(-16). -18 Let z(w) = 14*w**3 + 3*w**2 + 3*w. Give z(-1). -14 Let o(v) = v**2 + 19*v - 6. What is o(-9)? -96 Let z(q) = q**2 - 13*q - 64. Give z(16). -16 Let z(y) = 3*y + 85. Determine z(-20). 25 Let h(y) = y**3 - 6*y**2 + 5*y + 2. Determine h(4). -10 Let q(s) = 5*s**3 - s**2 + 3*s - 3. Give q(1). 4 Let c(y) = y**3 - 5*y**2 + y - 3. What is c(2)? -13 Let u(s) = s**2 - 6*s + 9. Give u(6). 9 Let i(r) = -2*r**3 - 13*r**2 + 8*r + 9. Determine i(-7). 2 Let c(w) = -6*w - 10. Give c(4). -34 Let d(j) = -j**2 + 3*j - 22. Calculate d(-5). -62 Let b(u) = u**3 + 15*u**2 + 17*u + 19. Calculate b(-14). -23 Let j(s) = 3*s + 24. Determine j(-4). 12 Let i(x) = -x**2 + 6*x + 10. Give i(7). 3 Let w(y) = -y**2 + 3*y. Calculate w(4). -4 Let m(q) = -4*q - 3. What is m(-2)? 5 Let g(u) = u - 23. Determine g(10). -13 Let k(j) = -4*j + 1. Give k(-1). 5 Let z(b) = b**2 - 7*b + 15. Determine z(6). 9 Let j(c) = 2*c**3 - 3*c**2 - 2*c + 3. Calculate j(3). 24 Let p(w) = w**3 - 2*w**2 - 1. Determine p(2). -1 Let z(s) = s**2 - 11*s - 15. Give z(-4). 45 Let r(j) = -3*j + 85. Give r(14). 43 Let s(g) = -4*g**2 + 2*g. Give s(1). -2 Let q(w) = w**2 - 13*w - 62. Calculate q(15). -32 Let b(v) = v**2 - 2*v - 4. Give b(-2). 4 Let m(d) = d**3 + 29*d**2 + 25*d - 88. What is m(-28)? -4 Let b(g) = -g**3 + 4*g**2 + 2*g + 11. Determine b(6). -49 Let j(f) = f**3 - 10*f**2 + 9*f - 9. Give j(9). -9 Let r(l) = -2*l - 4. Determine r(-3). 2 Let d(p) = p**3 - 4*p**2 - 4*p - 6. Give d(5). -1 Let o(z) = 2*z**3 + 22*z**2 + 46*z. Give o(-8). 16 Let s(i) = -2*i + 22. What is s(11)? 0 Let o(t) = -t. Determine o(-4). 4 Let f(a) = 21*a**3 + 3*a**2 + 2*a + 8. Give f(-2). -152 Let y(r) = r**2 + 8*r + 8. What is y(-7)? 1 Let p(n) = -n**3 + 8*n**2 - 11*n - 7. What is p(6)? -1 Let b(s) = s**2 - 4*s - 7. Determine b(0). -7 Let f(n) = -2*n - 13. Determine f(-10). 7 Let k(w) = -24*w + 11. Calculate k(1). -13 Let f(h) = 2*h**3 + 93*h**2 + 42*h - 180. What is f(-46)? 4 Let u(d) = -d**2 + d + 2. Give u(6). -28 Let b(p) = -4*p - 4. Calculate b(9). -40 Let m(p) = -p**3 + 33*p**2 - p + 35. What is m(33)? 2 Let n(b) = -b - 16. Give n(-20). 4 Let n(r) = r**3 + 22*r**2 - 23*r + 2. What is n(-23)? 2 Let h(u) = -3*u + 8. Determine h(6). -10 Let k(g) = -2*g**2 + 6*g - 6. What is k(3)? -6 Let c(i) = -10*i**2. Determine c(-2). -40 Let p(w) = -w**3 - 6*w**2 - 11*w - 10. Calculate p(-4). 2 Let q(m) = m**3 + 7*m**2 + 7*m + 10. Calculate q(-5). 25 Let m(g) = g**2 - 3*g - 14. Give m(6). 4 Let d(s) = s**2 - 22*s + 56. What is d(16)? -40 Let u(p) = p - 37. Determine u(19). -18 Let i(h) = 5*h + 3. What is i(3)? 18 Let g(a) = -3*a**2 + a. Calculate g(1). -2 Let w(l) = -2*l**3 + 22*l**2 - 23*l + 27. Give w(10). -3 Let w(n) = n**2 - 4*n - 4. Calculate w(6). 8 Let m(j) = -2*j + 12. Determine m(6). 0 Let z(q) = -q**2 + 4*q - 19. Determine z(12). -115 Let p(n) = n**2 + 4*n - 3. Give p(-6). 9 Let c(k) = 6*k**2 + 4*k + 4. Calculate c(-2). 20 Let g(d) = -d**2 + 25. Calculate g(5). 0 Let y(k) = 25*k + 30. What is y(-7)? -145 Let f(i) = -i**2 - 29*i + 34. Determine f(-30). 4 Let d(y) = 2*y + 32. Calculate d(-12). 8 Let u(v) = -v**2 - 29*v - 65. Give u(-27). -11 Let q(b) = b**3 + 12*b**2 + 15*b - 1. Determine q(-12). -181 Let f(a) = 16*a - 163. Determine f(9). -19 Let z(f) = -f**2 + 13*f - 44. Calculate z(11). -22 Let s(b) = 2*b**2 + 4*b + 7. Give s(-3). 13 Let m(q) = -4*q - 9. What is m(-5)? 11 Let l(c) = 11*c**2 - 2*c - 2. Give l(-2). 46 Let r(c) = -2*c**3 + 6*c + 1. Determine r(-2). 5 Let g(l) = 5*l + 14. Calculate g(-4). -6 Let o(r) = -5*r + 1. Calculate o(5). -24 Let n(q) = 17*q - 8. Give n(3). 43 Let i(o) = -o**2 - o + 3. Calculate i(2). -3 Let x(a) = -a**3 + 6*a**2 + a - 9. Calculate x(6). -3 Let p(i) = 6*i + 246. What is p(-40)? 6 Let g(h) = 2*h**2 - 8*h + 3. Give g(4). 3 Let u(h) = 20*h + 65. Determine u(-3). 5 Let p(g) = -2*g**2 - 156*g + 159. Calculate p(-79). 1 Let q(o) = 32*o. What is q(-1)? -32 Let k(q) = q**3 - 7*q**2 - 22*q + 7. Calculate k(9).
{ "pile_set_name": "DM Mathematics" }
y + j*h**2 and give y. 14 Express (2*q + 4 - 4)*(-2*q - 2*q + 3*q) - q**2 + 2*q**2 - 2*q**2 + (-31 + 31 - 20*q)*(-2 - q + 2) in the form i*q**2 + u*q + w and give i. 17 Rearrange 4 - 3 + 38*t - t**2 - 7*t to z*t**2 + b*t + o and give z. -1 Rearrange -2*o**2 - 4 + 4 + (2 - o - 2)*(-2*o + o + 3*o) + 6*o**2 - o**2 - 2*o**2 + (o - o - 1 - o)*(o + o - o) to the form d*o + v*o**2 + h and give d. -1 Express -18*t + 3*t - 24*t as s + q*t and give q. -39 Express -v**2 - 5*v**2 + 3*v**2 - v**2 - 2*v**2 + v**2 + (v + 3*v - 5*v)*(6 - 6 - 3*v) in the form f + y*v**2 + i*v and give f. 0 Rearrange 5*o**3 - 4*o**3 + 3*o**4 - 4 + o**3 to k*o + a*o**3 + j*o**4 + d*o**2 + m and give m. -4 Rearrange (-5 - 3*u + 5)*(-5*u + 4 - 4 + 0 - u + 0 + (0 + 0 - 2)*(-u - 2 + 2) - u + u + 2*u) to the form n + l*u**2 + o*u and give l. 6 Express (l + l - l)*((2 + 0 - 3)*(-1 + 2 + 0) - 15 - 29 - 8) in the form o + b*l and give b. -53 Express (-y + 10*y - 12*y - 18)*(-y**2 + 2*y**2 + y**2)*(-1 - 2*y + 1) in the form n + f*y**3 + b*y + c*y**4 + i*y**2 and give c. 12 Express -8 + 8*a**2 - 5*a**2 - 3*a**3 - 5*a**2 as d + g*a + x*a**3 + v*a**2 and give g. 0 Rearrange (0*n**2 - 3*n**2 + 0*n**2)*(10*n + 1 - 8*n - 3) to the form r + o*n + m*n**3 + d*n**2 and give d. 6 Rearrange (-3 + 2 + 3)*(3 - 1 - 4)*(-v - 5*v - v) to the form f*v + p and give f. 28 Express (0 + 0 + 1)*(5*f**3 - 6*f**2 + 6*f**2)*(3*f - f + f) as l*f**3 + j*f**4 + c + t*f**2 + a*f and give j. 15 Rearrange -7*d - 7*d + 2*d - d to the form h*d + u and give h. -13 Rearrange -6 - 37*i**2 + 5 - 11*i**4 + 39*i**2 to the form k*i**2 + u*i + a*i**4 + p*i**3 + h and give h. -1 Rearrange -11 + 16*t**2 + 11 to v + x*t + c*t**2 and give c. 16 Rearrange -1 + 1 + 15*p**2 - 55*p**2 to the form b*p + s + o*p**2 and give o. -40 Rearrange (6*f**2 + f**2 + 4*f**2)*((-1 + 4 - 2)*(5*f - f - 5*f) + 5*f - 4*f - 3*f) to q*f + h + a*f**2 + z*f**3 and give z. -33 Rearrange -20*z - 5*z + 4*z - 15*z to the form l*z + t and give l. -36 Rearrange 2*k - 6*k**2 - 6*k + 4*k - 2*k to the form r*k**2 + s*k + z and give s. -2 Rearrange (3*m - m + 0*m)*(-6*m**3 + 3*m**3 + 0*m**3) - 3*m**4 + 18*m - 18*m to the form u*m**4 + a*m**3 + v + t*m**2 + f*m and give u. -9 Rearrange z**2 + z**2 - z**2 - 6*z**2 + 2*z**3 + z**4 - 2*z to u*z**4 + b*z**3 + n*z + i*z**2 + x and give i. -5 Rearrange 1590 - 2*w - 1590 + 0*w**3 + w**3 - 2*w**2 to the form o*w + f + u*w**2 + j*w**3 and give j. 1 Express (-77*c + 77*c**4 + 77*c)*(2 + 3 - 7 + (3 - 2 + 0)*(2 - 1 + 1) - 3 + 5 - 3 - 2 - 5 + 5) as d*c + j*c**2 + b*c**4 + k + p*c**3 and give b. -231 Express 15*p**2 - 37*p**2 - 15*p**2 in the form a*p**2 + s + v*p and give a. -37 Express (5*z**3 - 4*z**3 - 3*z**3)*(14 + 19 - 13 - 3 + 3 - 1 + 5 - 1 - 5 + (-6 + 4 + 0)*(1 - 2 + 0)) in the form v*z + a*z**2 + o*z**3 + n and give o. -40 Express -2*l**2 + 182*l + 29*l**2 - 183*l as r + v*l + s*l**2 and give v. -1 Express (3*t - 3*t - 2*t)*(-8*t + 3*t**2 + 8*t) + 2*t**3 - 3*t**2 + 3*t**2 as p + a*t**3 + r*t + i*t**2 and give a. -4 Rearrange (3*h - 2*h**2 - 14 + 14)*(-5 - 19*h + 5) to l*h**2 + f*h + g*h**3 + q and give l. -57 Rearrange 4*i**3 - 3*i**3 + 8 + i - 8 to the form n*i + t + j*i**2 + z*i**3 and give n. 1 Express (2*f + 2*f + 0*f)*(17 - 17 + 2*f**3) as m*f + s*f**2 + b*f**3 + o*f**4 + w and give o. 8 Express (2 - 1 - 3)*(18 - 18 - 3*g)*(-g**2 + 2*g**3 + g**2) as u*g**4 + q*g + n*g**3 + j*g**2 + t and give u. 12 Express ((6 + 0 + 3)*(-3*f + f + f + (-3 + 3 + 2)*(3 + 2*f - 3)) + 2*f + 0*f - 4*f)*(-2*f**2 - 4*f**2 + 4*f**2) as q*f + l*f**2 + b + d*f**3 and give d. -50 Rearrange -3*z**4 - 12*z**2 + 11*z**2 - 2*z + 6*z**3 + 2 - 3*z**3 - 1 to the form a*z + x*z**2 + l*z**3 + r*z**4 + b and give x. -1 Express 4 + 3*f - 4*f**2 - f - 2 + 6*f**2 - f**3 in the form b*f**3 + m + q*f**2 + s*f and give s. 2 Express 3*f + 2*f**2 + 4*f - 6*f in the form j*f + v + g*f**2 and give j. 1 Rearrange 1 + k - 337*k**4 + 341*k**4 - 2*k**3 + k**3 to the form c*k + f*k**4 + r*k**2 + q*k**3 + l and give l. 1 Express 2*c**3 + 0*c**4 + 3*c - 2*c**2 - 4*c - 2 - 4*c**4 - 4*c**4 in the form w*c + x*c**4 + v + j*c**3 + m*c**2 and give j. 2 Rearrange (-2*i**3 + 4*i**3 + i**2 + 0*i**3)*(20*i + 32*i - 18*i) to q*i**3 + y*i**4 + r*i + v*i**2 + p and give y. 68 Rearrange -2 + 2 - 6*q + (-4*q - 4*q + 6*q)*(-3 + 2 - 3) to the form c*q + a and give c. 2 Express 2*z - 14*z**2 + 4*z**2 + 4*z**2 as u*z**2 + i*z + c and give i. 2 Express 0*d**2 - 7*d**2 + 6*d**2 + (0*d - 4*d + 5*d)*(-2*d - d + d) in the form k + c*d + a*d**2 and give a. -3 Rearrange (5 + 5*n**2 - 3*n**2 + 0*n**2)*(-n**2 + 14*n**2 - 5*n**2) to the form q*n**2 + d*n**3 + x + y*n + w*n**4 and give w. 16 Rearrange -1687*o**2 - 7*o**3 - o**4 + o - 3 + 1687*o**2 to r*o**4 + x*o**2 + u + z*o + c*o**3 and give r. -1 Express -8*n**2 + 11*n**2 + 0*n**4 + n**4 + 6 + 0*n**4 - n**3 as a*n**3 + t*n**4 + f*n + y + w*n**2 and give y. 6 Rearrange b**3 + b**4 - b**3 + (0*b**4 + 6*b**4 - 4*b**4)*(-3 - 7 + 2) to x + n*b**2 + s*b + r*b**3 + f*b**4 and give f. -15 Express 0*l + l**2 + 0*l + (272 - 272 - 60*l)*(-4*l + 4*l + l) in the form m*l**2 + p*l + o and give m. -59 Rearrange 11*y**2 - 8*y**2 - 4*y**2 to i*y + b*y**2 + z and give b. -1 Rearrange (5*j - 4*j - 2*j)*(-3 + 2 - 1)*(-13*j + 2 - 2) to k + y*j + d*j**2 and give d. -26 Express 68*k - 24*k - 96*k + (-3*k - k + 5*k)*(4 - 4 + 1) in the form s*k + w and give s. -51 Rearrange 14*z - 14*z**3 + 10*z**3 - 13*z to l*z**2 + j*z + p + i*z**3 and give l. 0 Rearrange 3*c**2 - 5*c**2 + c**2 + ((3 + 0 - 1)*(4*c - 3*c - 2*c) - 6 + 6 - c)*(2*c - 3*c + 3*c) to u + f*c + k*c**2 and give k. -7 Express -4*z**2 - 4*z**2 + 4*z**2 in the form w*z**2 + b*z + x and give w. -4 Express 0*i - i - 9 - 11 + 0*i in the form t*i + m and give m. -20 Express (0 + 0 - 20*m)*(2*m + 0 + 0) + (-1 - 3 + 5)*(0*m**2 + 0*m**2 - m**2) + (3*m - 5*m + m)*(-1 + 1 + 2*m) as h*m + k + j*m**2 and give j. -43 Express -4*t**3 - 16*t**4 + 2 - 19*t**4 + 34*t**4 in the form z + r*t**2 + b*t**3 + w*t + u*t**4 and give u. -1 Rearrange (3 - 3 + 2*f)*(66*f - 66*f - 5*f**2)*(3 - 2 - 3) to j*f**2 + q + v*f**3 + y*f and give v. 20 Rearrange 2 - 3 - 33*t + 1 to b*t + g and give b. -33 Rearrange (1 + g - 1)*(1 + 4 + 0)*(-3*g + 4*g - 3*g) to k*g**2 + u + y*g and give k. -10 Rearrange (-o**2 - 2 + 2)*((-2*o + 7*o - o)*(-1 + 0 + 2) + 4 - 4 + 2*o + 0 - o + 0) to the form w + b*o**2 + a*o + j*o**3 and give j. -5 Express -7*a + 29*a + a in the form y + z*a and give z. 23 Express (-1 - 2 + 5)*(-7*k + 15*k + 24*k) in the form h*k + z and give h. 64 Express -6*y**3 + 9*y**3 - 9 - 2 as v*y**3 + l*y + m + u*y**2 and give m. -11 Rearrange -62*u - 16 - 72*u + 16 to the form i + s*u and give s. -134 Express 37 + 26 + s + 4 - 8 in the form r*s + m and give r. 1 Rearrange (0 - 5 + 6)*(-121 - 11*a + 121) to the form h*a + l and give h. -11 Rearrange -30 - 3*j + 15 - 3*j**2 + 2*j**3 + 16 to the form h + a*j**3 + f*j**2 + n*j and give n. -3 Rearrange (2*c + 0 + 0)*(-c**2 + 4 - 4) + 47 + 17*c**3 - 2*c - 47 to b*c + x*c**3 + k*c**2 + n and give b. -2 Rearrange -21*w**2 - 21*w**2 + 18*w**2 to the form s*w + o + k*w**2 and give k. -24 Rearrange -13 + v**2 - 17 + 27 + v - 13*v to a*v**2 + m + i*v and give i. -12 Express p**3 - p + 4*p**2 + 0 - 4 + 2 as f*p**3 + s*p**2 + g*p + k and give f. 1 Express (423*c - 2*c**2 + 412*c - 859*c)*(0*c**2 + 0*c**2 - 2*c**2) as s*c**2 + j*c + b*c**4 + n + i*c**3 and give b. 4 Express -2 - 16*h + 13*h + 33*h as m*h + t and give t. -2 Rearrange -20*k + 17*k - 9*k to the form p*k + l and give p. -12 Rearrange z**2 + z**3 - 7*z**3 + 4*z**2 + 5*z**3 to the form k*z**3 + u + x*z**2 + c*z and give k. -1 Express 2 - l**4 - 3*l**2 + 7*l**2 - 4*l**3 + 4*l**3 in the form u + k*l**2 + h*l**3 + c*l**4 + n*l and give u. 2 Express -2*z - 3*z + 2*z + (-2 + 2 - 1)*(z - z - 2*z) - 3*z + 8*z + 2*z as t*z + d and give t. 6 Express -28*a - 6 + 6 as i*a + m and give i. -28 Express -2*n**3 - 19*n + 31*n - 3 - 15*n in the form x*n**3 + h + o*n**2 + g*n and give g. -3 Express -12 + 7 + 7 - 4*c + (-3 + 5 - 3)*(3*c + 3*c - 2*c) in the form p + t*c and give t. -8 Rearrange 10 - 5*b - 10 + b + 3*b**2 to the form m*b**2 + i + l*b and give l. -4 Rearrange 0*v + 8 - 4*v + 3*v + 2*v to c + b*v and give c. 8 Rearrange (3*c + 3*c - 5*c)*(-4*c - 2*c -
{ "pile_set_name": "DM Mathematics" }
2/13, 11/2 Put 2, -1, -4, -19, 0 in descending order. 2, 0, -1, -4, -19 Sort 4, 2, 1, 55 in decreasing order. 55, 4, 2, 1 Sort 3/5, 4, -5, -3 in ascending order. -5, -3, 3/5, 4 Put 3, -178, 5 in descending order. 5, 3, -178 Put -4, -2, 13 in descending order. 13, -2, -4 Sort -6, -1, -2, 0 in ascending order. -6, -2, -1, 0 Sort -1, -3, 500, -5, -4 in increasing order. -5, -4, -3, -1, 500 Sort 3, -5, -15, -1 in decreasing order. 3, -1, -5, -15 Put 5, -5, -3, -1681 in descending order. 5, -3, -5, -1681 Sort -3, 56, 4, -6 in descending order. 56, 4, -3, -6 Put -2, 2, -17, 4, 15 in increasing order. -17, -2, 2, 4, 15 Put -4, 179, 0 in descending order. 179, 0, -4 Put 5, -4.8, 0.2, 0.5, -0.3 in ascending order. -4.8, -0.3, 0.2, 0.5, 5 Put 2, 10.4, -0.4 in ascending order. -0.4, 2, 10.4 Put 4, 5, -104 in descending order. 5, 4, -104 Put 3, -214, 24 in ascending order. -214, 3, 24 Sort -1, 450, 0, 3, -2 in increasing order. -2, -1, 0, 3, 450 Sort -0.3, 0.1, -2/167 in descending order. 0.1, -2/167, -0.3 Sort 0, -3, 0.5, 1, -0.3. -3, -0.3, 0, 0.5, 1 Sort 1/3, 76.1, 2/11 in descending order. 76.1, 1/3, 2/11 Put 1, 4, -2, 17 in descending order. 17, 4, 1, -2 Put -4/3, 0.5, 2 in descending order. 2, 0.5, -4/3 Sort 0, -1, 5, -29 in decreasing order. 5, 0, -1, -29 Put -1, 0, 3, -9, -2 in decreasing order. 3, 0, -1, -2, -9 Put -2, 10, 114 in decreasing order. 114, 10, -2 Sort 1, 0, -5, 241 in descending order. 241, 1, 0, -5 Sort 0.4, 5, -0.8. -0.8, 0.4, 5 Sort -4, 2, 4, -15557 in decreasing order. 4, 2, -4, -15557 Sort -5, 1, 18, 4, -3 in increasing order. -5, -3, 1, 4, 18 Put -2, 190, -7, 5 in decreasing order. 190, 5, -2, -7 Sort -5, 4, 1, -1, -86 in increasing order. -86, -5, -1, 1, 4 Sort 5, 2, 1, -6 in increasing order. -6, 1, 2, 5 Sort 4, 220, -16 in ascending order. -16, 4, 220 Put -198, 4, 1 in decreasing order. 4, 1, -198 Sort -54, 0, -17 in increasing order. -54, -17, 0 Put -5, -24, 5, -16 in decreasing order. 5, -5, -16, -24 Put 43, 2/9, 0.4, 59 in decreasing order. 59, 43, 0.4, 2/9 Sort 2, 13, -5, -4 in descending order. 13, 2, -4, -5 Sort -0.081, -20, -1/6 in increasing order. -20, -1/6, -0.081 Put -1, -14, 0, 11, 2 in decreasing order. 11, 2, 0, -1, -14 Sort 3, 5, -4, -1 in descending order. 5, 3, -1, -4 Sort 9, 36, 0.1 in decreasing order. 36, 9, 0.1 Sort 4, -2, -96/25, 3, -5 in increasing order. -5, -96/25, -2, 3, 4 Put -3, 0, -2, 19 in increasing order. -3, -2, 0, 19 Put 0, 3, 51, -3 in descending order. 51, 3, 0, -3 Sort 13, -4, 3 in ascending order. -4, 3, 13 Sort 5, 0.04, 19. 0.04, 5, 19 Sort 2/3, 3, -5, -0.03 in ascending order. -5, -0.03, 2/3, 3 Sort -7, 2, -192 in decreasing order. 2, -7, -192 Put -17, 5, 16 in decreasing order. 16, 5, -17 Put -6, 0, -4, 57, -5 in decreasing order. 57, 0, -4, -5, -6 Sort 5, 17, -1, -10. -10, -1, 5, 17 Sort 3, -1952, 5. -1952, 3, 5 Put 1, -2, -19 in descending order. 1, -2, -19 Put 14.4, 2/11, -2, 0.1 in ascending order. -2, 0.1, 2/11, 14.4 Sort 4/7, 0.3, 10, -1/2 in increasing order. -1/2, 0.3, 4/7, 10 Sort -0.4, 2/15, -1/11, -2. -2, -0.4, -1/11, 2/15 Put 2, 844, 1 in decreasing order. 844, 2, 1 Sort 5, 4, -9, 2, -7. -9, -7, 2, 4, 5 Sort -2.1, 23, -4 in descending order. 23, -2.1, -4 Put 4, 5, -41, 3 in descending order. 5, 4, 3, -41 Put -3/5, 3, 2, 17/2, -5 in decreasing order. 17/2, 3, 2, -3/5, -5 Sort 1, -38, 2, -22, 4 in decreasing order. 4, 2, 1, -22, -38 Sort -1, -4, -2. -4, -2, -1 Sort -5, -3/5, -0.1, -237. -237, -5, -3/5, -0.1 Sort 4698, 2, -5, 0.05, -2. -5, -2, 0.05, 2, 4698 Put 4, -9, 2/11 in descending order. 4, 2/11, -9 Put -1, 152, -2, 0, 4 in decreasing order. 152, 4, 0, -1, -2 Sort 4, 3, 0 in descending order. 4, 3, 0 Sort -3, -4, -612, -2. -612, -4, -3, -2 Put 4, 10, 2, -1 in decreasing order. 10, 4, 2, -1 Sort 6, 4, 2, -2 in descending order. 6, 4, 2, -2 Sort 24, -6/35, 0.5, 0.3 in ascending order. -6/35, 0.3, 0.5, 24 Put 4, -3, -20, -110 in descending order. 4, -3, -20, -110 Sort 5, 0, -33, 8 in descending order. 8, 5, 0, -33 Sort -0.1, 1, 282 in ascending order. -0.1, 1, 282 Put -2, 0, 32, 21, 4 in increasing order. -2, 0, 4, 21, 32 Put -0.3, -3, -2/53, -0.5, -0.2 in increasing order. -3, -0.5, -0.3, -0.2, -2/53 Sort 4, 2, 3, -359, 0.2. -359, 0.2, 2, 3, 4 Put 0, 1, 3, 37 in ascending order. 0, 1, 3, 37 Put 2, 3, -0.1, 379, -2 in descending order. 379, 3, 2, -0.1, -2 Sort 0, -4, 23, 1, -29 in descending order. 23, 1, 0, -4, -29 Sort 3/4, 3, 253, -1/9, -1/4 in ascending order. -1/4, -1/9, 3/4, 3, 253 Put -4, -28, -116 in descending order. -4, -28, -116 Put 3, -4.8, 0.1, 5 in ascending order. -4.8, 0.1, 3, 5 Put -5, -12, -1 in increasing order. -12, -5, -1 Put -0.4, -5, 8/17 in decreasing order. 8/17, -0.4, -5 Put -1, -0.5, -0.7, 5 in increasing order. -1, -0.7, -0.5, 5 Sort 0.09, 0.5, 3, -5, -87 in increasing order. -87, -5, 0.09, 0.5, 3 Sort -3, -2, 7, -5 in descending order. 7, -2, -3, -5 Sort 2, -0.1, -141. -141, -0.1, 2 Put 1/5, 5, 4, -2/21 in increasing order. -2/21, 1/5, 4, 5 Sort -2, 4, -1, 189 in descending order. 189, 4, -1, -2 Sort -34, -4, 4, -21, -5. -34, -21, -5, -4, 4 Sort -2/11, 2/9, 0.3 in decreasing order. 0.3, 2/9, -2/11 Sort -2, 4, -2/17 in descending order. 4, -2/17, -2 Sort 2, -7, -3. -7, -3, 2 Put -118, 4, -4, 3, 2 in decreasing order. 4, 3, 2, -4, -118 Put 0.1, -127, -1 in increasing order. -127, -1, 0.1 Put -5, 2, -29, -4 in decreasing order. 2, -4, -5, -29 Put 58, 0, 1 in ascending order. 0, 1, 58 Put 1, -314, 3, -1 in decreasing order. 3, 1, -1, -314 Sort 0, 2, -15, 5 in decreasing order. 5, 2, 0, -15 Sort -1/5, 4, 2, -4/299 in decreasing order. 4, 2, -4/299, -1/5 Put 4, 0, -4, 3 in increasing order. -4, 0, 3, 4 Sort 14, 4, -6, -4 in decreasing order. 14, 4, -4, -6 Put -2/29, -5, -2/221 in decreasing order. -2/221, -2/29, -5 Put 2, -12, -2 in decreasing order. 2, -2, -12 Put 1/5, 0.1, 428 in descending order. 428, 1/5, 0.1 Sort -1, 0, -9, 127, -5 in ascending order. -9, -5, -1, 0, 127 Put -0.2, 2, -0.4, -4 in decreasing order. 2, -0.2, -0.4, -4 Put 65, 3, -1, 8 in decreasing order. 65, 8, 3, -1 Sort 0, 0.06, -2/13, 0.4, -28 in ascending order. -28, -2/13, 0, 0.06, 0.4 Sort 4, -40, 3 in decreasing order. 4, 3, -40 Put 12, -3, -11, 5 in decreasing order. 12, 5, -3, -11 Sort 3, 1129, 1/4. 1/4, 3, 1129 Sort -1, -0.1, -4/7, -2/9 in decreasing order. -0.1, -2/9, -4/7, -1 Sort -5, -38, 1, 10 in descending order. 10, 1, -5, -38 Sort -5, -3, -17 in descending order. -3, -5, -17 Put -284, 4, 0.5 in increasing order. -284, 0.5, 4 Put -1, 2, 34 in decreasing order. 34, 2, -1 Put 0.3, 1, 61, 3 in descending order. 61, 3, 1, 0.3 Put -2, -194, 2/19, 3/4 in descending order. 3/4, 2/19, -2, -194 Put -1/4, 5/4, 1, -1.7 in descending order. 5/4, 1, -1/4, -1.7 Sort -1/7, -5, 1/16, 4, -0.1 in descending order. 4, 1/16, -0.1, -1/7, -5 Sort -0.4, 0.2, 5, 9/7. -0.4, 0.2, 9/7, 5 Sort -1, 3, 2, 3/14. -1, 3/14, 2, 3 Put -1, 2.25, -0.2 in descending order. 2.25, -0.2, -1 Put 0, -7, -4, 9 in decreasing order. 9, 0, -4, -7 Put 2, 6, -8, -1 in decreasing order. 6, 2, -1, -8 Sort 199, 5, 4, -2 in decreasing order. 199, 5, 4, -2 Put -0.021, -1/9, -0.3 in decreasing order. -0.021, -1/9, -0.3 Sort -57, -4, 2, 5 in decreasing order. 5, 2, -4, -57 Sort 89/2, -0.1, -2/3, 0.4, -1 in ascending order. -1, -2/3, -0.1, 0.4, 89/2 Put 71, -0.05, -0.1 in descending order. 71, -0.05, -0.1 Sort 0, 329, -1. -1, 0, 329 Sort -5, -0.3, 44 in ascending order. -5, -0.3, 44 Put 0.4, 0.7, 3/4 in increasing order. 0.4, 0.7, 3/4 Put 46, 0.3, -0.7, 2 in decreasing order. 46, 2, 0.3, -0.7 Put 5, 4, -41 in decreasing order. 5, 4, -41 Sort -329, -2, 0.2 in ascending order. -329, -2, 0.2 Sort -0.13, 6, -3, 17 in increasing order. -3, -0.13, 6, 17 Sort 42, 29, 0, 3 in descending order. 42, 29, 3, 0 Sort 0.5, -1, -4, 2/83. -4, -1, 2/83, 0.5 Sort 0, 50, -5 in descending order. 50, 0, -5 Sort -3, 14, 54 in ascending order. -3, 14, 54 Put 4, -12/7, 1.1 in decreasing order. 4, 1.1, -12/7 Sort -0.339, 2/7, 4 in increasing order. -0.339, 2/7, 4 Put -1, 1946, -3, 5, -5 in descending order. 1946, 5, -1, -3, -5 Sort 21, 5/4, -4, -2/7, -0.1 in decreasing order. 21, 5/4, -0.1, -2/7, -4 Sort -4, -154, -5, 20 in increasing order. -154, -5, -4, 20 Sort -5, -4/11, 0, 1, -3 in decreasing order. 1, 0, -4/11, -3, -5 Put -16, -2, 19 in de
{ "pile_set_name": "DM Mathematics" }
and 5. -1925 What is the product of 10379 and 0.5? 5189.5 Work out 5112 * 0.1. 511.2 Multiply 3345 and 0.3. 1003.5 Calculate -5.57*-0.4. 2.228 Calculate 2553*1. 2553 Multiply -0.002 and -5.4. 0.0108 9*85 765 -992 * 0.3 -297.6 Work out 2 * 115. 230 What is the product of 0.02 and -703? -14.06 Multiply 31 and -10. -310 -169*0.1 -16.9 -8*-195 1560 Multiply 4 and -15.7. -62.8 0*45 0 -14 * -0.04 0.56 What is 2.9 times -13? -37.7 Calculate -0.7*-67. 46.9 Product of -0.6 and 0.0159. -0.00954 Product of -0.1 and -1337. 133.7 Work out -0.01 * -0.17. 0.0017 Product of 4 and 150. 600 What is 0.9 times 10.8? 9.72 What is 0.25 times -0.1? -0.025 Product of -36 and -0.5. 18 -0.2 * 3.42 -0.684 What is the product of 0.369 and -5? -1.845 Multiply -667.4 and -0.1. 66.74 137.2 times 0.3 41.16 -0.1288 * 0.2 -0.02576 Product of 0.035 and 0.6. 0.021 What is -7.222 times -4? 28.888 Multiply -0.27 and 0.08. -0.0216 Work out -0.1 * 1802. -180.2 Calculate 0.37*3. 1.11 Calculate -0.5*-41. 20.5 -285 times 0.002 -0.57 -0.2*3.27 -0.654 1.5 times -67 -100.5 0.0719 * 0.06 0.004314 What is the product of 0.3 and 0? 0 Work out -0.1 * 2149. -214.9 Work out 0.15 * 307. 46.05 Product of -0.2 and 4. -0.8 Multiply -0.0158 and -3. 0.0474 0.08*431 34.48 Product of -1 and -2.4. 2.4 Work out -32 * -3. 96 Multiply 254 and 4. 1016 What is the product of -12.8 and 0.4? -5.12 Work out -380 * -0.3. 114 Product of -0.012 and -70. 0.84 Work out -0.6 * -260.3. 156.18 -4*0.032 -0.128 Work out -0.0047 * 5. -0.0235 What is the product of -0.72 and 0? 0 What is 3 times -0.0322? -0.0966 0 * 15 0 What is the product of 0.019 and 0.28? 0.00532 What is the product of -0.0481 and -5? 0.2405 What is the product of 0.03 and 1861? 55.83 Calculate -326*-0.5. 163 What is the product of -0.13 and -4.1? 0.533 What is the product of -274 and -22? 6028 1.57 * -0.03 -0.0471 Work out -2 * 0.078. -0.156 -15 times -35 525 Calculate -0.194*-0.02. 0.00388 Product of 2 and -440. -880 What is -0.0516 times 0.03? -0.001548 Work out -14 * -0.12. 1.68 Product of -178 and 42. -7476 Calculate 0.4*74. 29.6 Work out -0.3 * 0.18. -0.054 Multiply -0.156 and -8. 1.248 Multiply 0.07 and 2. 0.14 What is the product of -8 and 2.86? -22.88 What is the product of -0.37 and -10.1? 3.737 -0.1 times -0.0558 0.00558 What is -0.5 times 807? -403.5 What is the product of -1294 and -0.5? 647 -1.1 times -30 33 Work out 1 * 0.28. 0.28 -2915 times -1 2915 1812 * 10 18120 Calculate 6.1*19. 115.9 Product of -235 and -0.09. 21.15 What is 0.09 times 0? 0 What is the product of 28 and 3? 84 Multiply 41.9 and 2. 83.8 Product of 318 and 5. 1590 Work out -54 * -7. 378 Calculate -0.9*0.97. -0.873 -0.111 * -0.08 0.00888 -1.504*-4 6.016 -3 times 39.5 -118.5 What is the product of 5 and 0.016? 0.08 Product of 23 and 30. 690 5 times -88 -440 -0.64 * 0.3 -0.192 Multiply 0.2 and -0.69. -0.138 10*285 2850 -1.1*-24 26.4 -0.559 * 0.3 -0.1677 Calculate 62064*0.1. 6206.4 -0.5 * -44 22 What is -0.083 times -3? 0.249 Calculate 6.3*0.08. 0.504 Work out 631 * 5. 3155 Calculate 1*245. 245 Product of -19 and 150. -2850 Calculate -0.4*1302. -520.8 What is -218 times 5? -1090 Calculate -0.07*-355. 24.85 -0.05*0.75 -0.0375 0.022*5 0.11 Multiply -7 and -26. 182 What is the product of -0.3 and 4851? -1455.3 Work out 2 * -0.3887. -0.7774 What is the product of -0.1 and 7340? -734 -1995 * -8 15960 Product of 1 and -0.03. -0.03 What is the product of -0.342 and -28? 9.576 0.0261*-0.21 -0.005481 What is the product of -0.5 and 6? -3 What is 7149 times 5? 35745 25.58*0.07 1.7906 3 * 42.7 128.1 Multiply -0.9 and -0.66. 0.594 -44*3 -132 -0.3 * 112 -33.6 0.02*-112 -2.24 What is the product of -34.5 and -0.3? 10.35 Product of 7.1 and 5. 35.5 -0.15 times 0.01 -0.0015 What is the product of -3 and 120? -360 Product of 0.105 and -0.8. -0.084 -5 times -223 1115 Product of -5 and 34. -170 -4 times 11.7 -46.8 Multiply -120 and -0.05. 6 Multiply -0.1 and -0.61. 0.061 Work out 3.152 * 0.1. 0.3152 What is 1.5304 times -3? -4.5912 -40 * 57 -2280 What is the product of -10 and 0.37? -3.7 Calculate 0*6. 0 Product of 89 and 3. 267 Work out 0.5 * 5.6. 2.8 What is -1228 times 0.11? -135.08 -674 times 0.04 -26.96 Work out -1.874 * 1. -1.874 -0.4*17.3 -6.92 Calculate -2.6*4. -10.4 -24 times 0.038 -0.912 -0.53 * 0.88 -0.4664 Calculate -3*-2.38. 7.14 Multiply 1 and -242. -242 What is 4.1 times 3? 12.3 -29469 times 4 -117876 -0.1*-30 3 What is the product of -2 and 8.1? -16.2 Multiply 3 and -1.042. -3.126 -7*11 -77 Calculate 33*-471. -15543 What is -0.188 times -10? 1.88 Work out 11 * 5. 55 What is the product of -0.3 and 0.37? -0.111 19.607 times 0 0 What is the product of -4 and -217? 868 What is the product of 5 and -21? -105 4 times 6.7 26.8 Work out 0.5 * 0.05. 0.025 Calculate -1.1*-4. 4.4 Product of 6148 and -0.3. -1844.4 -0.09 times -15 1.35 Multiply -31.3 and -2.6. 81.38 Product of 75 and 1. 75 What is the product of -381 and 0? 0 What is 272 times -5? -1360 Calculate -855*4. -3420 0.07 times 0.11 0.0077 -0.04*-0.2 0.008 Multiply -46 and 4. -184 Multiply -17 and 77. -1309 451 * -1.1 -496.1 What is -4 times -20.1? 80.4 Work out -48 * 16. -768 5 * -13.5 -67.5 3 times -15 -45 Product of 0.5 and -1723. -861.5 What is the product of -326 and -4.3? 1401.8 What is the product of 0.3 and -21.2? -6.36 -0.028*-1.24 0.03472 What is 0.21 times -0.025? -0.00525 63 times 0.02 1.26 What is the product of 4 and 687? 2748 Multiply 3150 and 0.4. 1260 What is 5 times 838? 4190 34.5*0.5 17.25 -0.08 * 0.2 -0.016 Multiply 2 and -0.007. -0.014 Product of -0.0304 and 0.5. -0.0152 4*1196 4784 What is 5 times 0.837? 4.185 0.07 times 2.9 0.203 What is 0.4 times 0.186? 0.0744 What is -0.5 times -0.08? 0.04 Work out -1.12 * 9.5. -10.64 Product of -5.5 and -0.04. 0.22 -0.6*-20 12 Multiply -0.4 and 0.596. -0.2384 0.4 times 1367 546.8 Calculate -11*-0.04. 0.44 0.4*-200.7 -80.28 Product of 709 and -1. -709 0.055 * -0.12 -0.0066 -821 * -10 8210 Work out -0.1 * 2.55. -0.255 -328*0.5 -164 Calculate 8.4*1. 8.4 -29.06*0.2 -5.812 Work out -1031.6 * 0.1. -103.16 What is -0.1959 times -5? 0.9795 0.4 times 43 17.2 0*-3 0 -8 * -24 192 What is the product of -0.5 and -72.3? 36.15 Work out -14 * 77. -1078 12651 times -0.5 -6325.5 0.1*-1.159 -0.1159 What is 0.1 times 1.21? 0.121 Product of -0.089 and -17. 1.513 What is the product of 1.4 and 241? 337.4 Calculate 0.2*-3. -0.6 Multiply -12.23 and 0.06. -0.7338 Calculate 3*27.9. 83.7 Calculate 1.13*-41. -46.33 What is -0.1113 times 3? -0.3339 Work out -28 * -0.07. 1.96 Product of -1.27 and -0.39. 0.4953 -1.71*-67 114.57 What is the product of -0.5 and 182? -91 -18 * -0.5 9 Product of -12 and 0. 0 What is the product of -0.177 and 11? -1.947 Work out -371 * -0.4. 148.4 Calculate 3*6.22. 18.66 Product of -0.096 and 40. -3.84 0.5 * 317 158.5 Work out 138.5 * 1.2. 166.2 What is the product of -1 and -4.098? 4.098 -49 * 0.2 -9.8 Multiply 0.11 and -27. -2.97 Work out -0.0174 * 0.9. -0.01566 Product of -4 and 0.94. -3.76 3.192*-0.4 -1.2768 -0.5*10031 -5015.5 Multiply -1.23 and 0.1. -0.123 -0.4*-81 32.4 Work out -5 * -84. 420 Product of 1064 and -4. -4256 5 times -0.1271 -0.6355 What is -5.66 times -5? 28.3 Product of 0.14 and 21. 2.94 -0.04 times -0.21 0.0084 2939 times -0.4 -1175.6 Work out 37 * -35. -1295 -148 * 35 -5180 Work out 3450 * 0.12. 414 Multiply -146 and 0.5. -73 What is the product of -0.5 and -10? 5 What is the product of 3 and -6.777? -20.331 -0.287*4 -1.148 Product of 6 and 1.526. 9.156 -3.49*1 -3.49 Calculate 5*14.1. 70.5 What is 0.08 times -45? -3.6 Calculate 0.069*0.09. 0.00621 -0.1 times -0.3129 0.03129 What is the product of -6.24 and -1? 6.24 What is the product of 5592 and -0.5? -2796 Multiply -115.8 and 0.3. -34.74 Work out -0.06 * 2. -0.12 Work out -13 * 0.0157. -0.2041 What is the product of -614 and -8? 4912 Product of 0.037 and 2. 0.074 0.28188*2 0.56376 Multiply -0.03 and 181.5. -5.445 Multiply 33 and 582. 19206 Work out 7563 * 3. 22689 Work out 2 * -5.87. -11.74 What is -3 times -0.634? 1.902 Calculate -6.9*4. -27.6 -0.4 * -0.29 0.116 Work out 3 * 5. 15 81 * -0.148 -11.988 Product of 0.41 and 3.2. 1.312 Multiply -0.00411 and -0.5. 0.002055 Product of 6.2 and 1. 6.2 0.48 * -0.005 -0.0024 1.8 * -0.007 -0.0126 2*-7.1 -14.2 What is 15 times 52? 780 Multiply -0.06 and
{ "pile_set_name": "DM Mathematics" }
*d(s) + 11*n(s). -6*s**2 + 4*s - 74 Let w(v) = -v**3 + v**2 - 1. Let x = 57 - 53. Let o(n) = -x + 114*n**2 - 5*n**3 + 0 + 2*n**3 - 110*n**2. Calculate 5*o(p) - 20*w(p). 5*p**3 Let p(l) = -5*l**2 + 76*l + 1. Let f(t) = -8*t**2 + 151*t + 2. Calculate -4*f(j) + 7*p(j). -3*j**2 - 72*j - 1 Let g(t) be the third derivative of -t**5/60 - t**4/24 + 24*t**2 + 14*t. Let m(a) = a**2 + a. Determine 5*g(o) + 4*m(o). -o**2 - o Let n(v) = -10392*v**2 + 24*v - 60. Let i(c) = -4157*c**2 + 10*c - 25. Calculate -12*i(y) + 5*n(y). -2076*y**2 Let s(t) = 14*t. Let h(r) = 208*r + 6. Let y(g) = 969*g + 28. Let b(v) = -14*h(v) + 3*y(v). Let i be 16/2 + 0/2. Let q = i - 4. Calculate q*s(d) + 11*b(d). d Let a = 109893 + -109896. Let p(j) = 2 + j + 0*j - 3. Let h(m) = -3*m**3 - m + 1. What is a*h(x) - 3*p(x)? 9*x**3 Let x(w) = 4*w**2 - 7*w + 9. Let s(l) = 5 + 979*l - 983*l + 4*l**2 - 2*l**2. What is -5*s(o) + 3*x(o)? 2*o**2 - o + 2 Let c(g) = -2*g**2 - 63*g - 191. Let a be c(-28). Let x(f) = f + 1. Let u(s) = 3*s - 3. Determine a*u(l) + 15*x(l). 30*l Let l(y) = 17*y - 15 + 8*y - 10 - 38*y + 18*y. Let a(m) = -2*m + 12. Determine -7*a(f) - 3*l(f). -f - 9 Let u(z) = 54*z**2 - 6036*z - 34. Let y(l) = 19*l**2 - 2012*l - 12. What is -6*u(j) + 17*y(j)? -j**2 + 2012*j Let x(c) = c**2 - 4*c + 61. Let l(z) = -11. Give 4*l(q) + x(q). q**2 - 4*q + 17 Let b(j) = 4*j**3 + 17*j**2 - 9. Let z(y) = y**2 + 4*y**2 - 70185*y**3 + 35092*y**3 + 35095*y**3 - 4 + 4*y**2. Calculate 4*b(f) - 9*z(f). -2*f**3 - 13*f**2 Let x be 4/32*4*58 + 4. Suppose -66*t + x = -63*t. Let y(u) = u + 5. Let b(a) = -1. Give t*b(p) + 2*y(p). 2*p - 1 Let g(n) = 76*n**2 - 37*n**2 - 41*n**2 + 85 - 41 - 46. Let k(y) = -y**2 - 1. Give 2*g(l) - 3*k(l). -l**2 - 1 Let p(h) = h + 106. Let j(g) = 5*g + 319. Calculate 4*j(y) - 11*p(y). 9*y + 110 Let t(n) = -n**2 + n - 1. Let w(m) be the third derivative of -m**5/2 - 5*m**4/24 + m**3 + 1241*m**2 + 2*m. Determine 6*t(j) + w(j). -36*j**2 + j Let u(q) = -2*q**2 - 5*q. Let d(m) = 21*m**2 + 12*m + 259. Determine d(g) + 2*u(g). 17*g**2 + 2*g + 259 Let k(n) = n + 2. Suppose 3*z - 27 = -21. Let p be k(z). Let m(r) = -5*r**3 - r**2 - 1. Let b(t) = 4*t**3 + t**2. Calculate p*b(h) + 3*m(h). h**3 + h**2 - 3 Let n(y) = 2*y - 4. Let p(x) = -2717*x + 208. Give -52*n(b) - p(b). 2613*b Let z(r) = -34*r**2 + 20*r - 436. Let w(m) = 11*m**2 - 6*m + 145. Give -10*w(f) - 3*z(f). -8*f**2 - 142 Let m(t) = 15*t**3 + 9*t**2 - 10. Let d(z) = z**3 - 2*z**2 - 5. What is -2*d(g) + m(g)? 13*g**3 + 13*g**2 Let b(c) = 2*c + 11026 - 5510 - 5514. Let r be (-3)/6*(6 + 0). Let h(g) = 2*g + 2. Give r*h(s) + 2*b(s). -2*s - 2 Let q(y) = 8*y**2 - 6*y - 1. Let l be q(2). Suppose 0 = -7*t + l*t - 72. Let h(m) = 11*m + 2. Let n(k) = -32*k - 6. What is t*n(s) + 17*h(s)? -5*s - 2 Let j(h) = 2*h**3 + h**2 + h - 1. Let f be j(1). Let y = -12 + 19. Let z(o) = 3 + 7 - o + 1. Let w(v) = -5. Give f*z(l) + y*w(l). -3*l - 2 Let j(a) = -a - 2. Let d be j(0). Let v(z) = -7*z**2 - 18*z - 3. Let p be v(d). Let i(y) = -1. Let l(q) = q - 6. Determine p*i(u) - l(u). -u + 1 Let m(a) = -2*a**2 + 175*a + 10. Let h(n) = -2*n**2 + 173*n + 15. Determine -3*h(v) + 4*m(v). -2*v**2 + 181*v - 5 Let u(c) = 35*c**2 - 167*c - 22. Let f(z) = -4*z**2 - z + 3. Give 8*f(j) + u(j). 3*j**2 - 175*j + 2 Let a(v) = -15*v. Let p(w) = w**2 - 2*w + 2. Let r be 3/2*(-1)/2*-4. Let n be p(r). Suppose 0 = -n*t + 39 + 6. Let d(q) = 7*q. Determine t*d(c) + 4*a(c). 3*c Let a(v) = v**2 - 4*v + 1. Let k(i) = -6*i**2 - 40*i + 18. Determine -10*a(w) + k(w). -16*w**2 + 8 Let q(n) = 1. Let d(m) = 127*m + 3. Let b(w) = -79*w - 2. Let p(h) = -5*b(h) - 3*d(h). What is p(a) - 2*q(a)? 14*a - 1 Let z(g) = -1704*g**2 + 2*g + 35. Let x(i) = 852*i**2 - i - 19. Calculate -11*x(u) - 6*z(u). 852*u**2 - u - 1 Let j(f) = 7*f - 2. Let t(a) be the first derivative of a**3/3 - a**2/2 + 1433. Calculate j(g) + 3*t(g). 3*g**2 + 4*g - 2 Let u(c) = -21*c**3 + 54*c**2 + 200*c + 6. Let l(w) = -4*w**3 + 10*w**2 + 40*w + 1. What is 11*l(p) - 2*u(p)? -2*p**3 + 2*p**2 + 40*p - 1 Let n(k) = -45*k - 406. Let r(l) = 123*l + 1220. Calculate -11*n(x) - 4*r(x). 3*x - 414 Let s(h) = 3*h**3 + 52*h. Let l(t) = 85*t**3 + 1405*t. Determine 2*l(b) - 55*s(b). 5*b**3 - 50*b Let g = 1 + 2. Let o(q) be the first derivative of -3*q**4/2 + 96004. Let z = -5 - 0. Let m(x) = -3*x**3. Determine g*o(t) + z*m(t). -3*t**3 Let i(s) = -13*s + 13. Let r(h) = -5*h + 5. Let x(w) = -2*i(w) + 5*r(w). Let a(t) = t**2 + 16*t - 1. Determine a(d) - 2*x(d). d**2 + 14*d + 1 Let f(v) = 26*v**3 - 132*v**2 + 71*v + 15. Let h(l) = 6*l**3 - 31*l**2 + 18*l + 4. Calculate 4*f(b) - 17*h(b). 2*b**3 - b**2 - 22*b - 8 Let k(r) = r. Let a(q) = q**2 - q - 1. Let f(b) = 3*a(b) + 2*k(b). Suppose 4 = j - c, 0 = 4*c + 8 - 0. Let m(l) = -3*l**2 + l + 2. Calculate j*f(t) + 3*m(t). -3*t**2 + t Let j(m) = 4*m**3 - 19*m**2 - 9*m - 2. Let a(l) be the second derivative of -l**5/10 + 3*l**4/4 + 2*l**3/3 + l**2/2 - 649*l. Calculate 9*a(t) + 4*j(t). -2*t**3 + 5*t**2 + 1 Let b(z) = 12*z**3 + 17*z + 17. Let j be ((-34)/5)/(-5*-7*(-8)/(-700)). Let s = -8 - -14. Let y(p) = 6 + 5*p**3 + 10*p - 4*p - p**3. Give j*y(w) + s*b(w). 4*w**3 Let j(t) be the second derivative of -t**4/12 + t**3/3 + 6832*t. Let n(b) = b**2 - 2*b. Determine 2*j(k) + 3*n(k). k**2 - 2*k Let v(s) = -s + 4. Let n(q) = q - 3. Let k(u) = -3*n(u) - 2*v(u). Let g(x) = -4*x + 16. Give g(c) - 6*k(c). 2*c + 10 Let q(a) = a + 1. Let y(h) = -212*h - 32. Let l(x) = 26*x + 4. Let n(j) = 17*l(j) + 2*y(j). Give n(b) - 2*q(b). 16*b + 2 Let l(p) = 7*p**3 + 451*p**2 - 5*p - 14. Let g(r) = -11*r**3 - 676*r**2 + 8*r + 22. Calculate -5*g(t) - 8*l(t). -t**3 - 228*t**2 + 2 Let r(m) = 2*m**2 - m - 10. Let w(q) = -689*q**2 - 2*q - 51. Give 5*r(o) - w(o). 699*o**2 - 3*o + 1 Let k be 30 + -24 + (1 - 3). Let r(g) = -g + 8. Let w(p) = p - 9. Give k*r(f) + 3*w(f). -f + 5 Let k(x) = 8*x**3 + 3*x**2 + 2*x - 7. Let c(r) = -r**3 - r**2 + 1. Let z = 3989 + -3990. Determine z*k(w) - 6*c(w). -2*w**3 + 3*w**2 - 2*w + 1 Let d(m) = -m**3 - 2*m**2 + 2*m. Let i(g) = 3*g**3 + 5*g**2 - 5*g + 1. Calculate 5*d(t) + 2*i(t). t**3 + 2 Suppose 5*k + 1626 = -b + 1624, 2*k + 4*b - 28 = 0. Let q(d) = -d - 1. Let h(n) = 6*n + 11. Give k*q(w) - h(w). -4*w - 9 Suppose -11*f + 5 = -6*f. Let p(y) = -21*y**2 - 14. Let s(c) = c**2 + 1. Suppose -4*n + 56 = -4*l, 15*l - 70 = -5*n + 10*l. Determine f*p(o) + n*s(o). -7*o**2 Let z(d) = -6*d**2 + 2*d + 4. Let u(f) be the first derivative of -4*f**3 + 2*f**2 + 9*f + 1132. Determine 4*u(y) - 9*z(y). 6*y**2 - 2*y Let s(o) = 7*o**3 + 6*o**2 - 7*o - 6. Let x be (192/(-144))/((96/(-45))/(-8)). Let d(q) = 8*q**3 + 5*q**2 - 6*q - 5. Determine x*s(u) + 6*d(u). 13*u**3 - u Let i(l) = -l**2 - 2*l + 6. Let u(o) = 4*o**2 - 4*o - 812. Give 2*i(s) - u(s). -6*s**2 + 824 Let n(v) = 267*v - 18. Let o(k) = -137*k + 9. What is -2*n(u) - 5*o(u)? 151*u - 9 Let l(h) = 3*h + 3. Suppose 894 = -413*k + 145*k - 30*k. Let g be 20/6 - (-2)/3. Let i(d) = 2*d + 3. What is g*i(x) + k*l(x)? -x + 3 Let p(l) = l**3 + l**2 + 4. Let x(z) = -10 - 200647*z**3 + 200643*z**3 - 4*z**2 - 5. Determine 22*p(n) + 6*x(n). -2*n**3 - 2*n**2 - 2 Let y(p) = 42*p**2 - 129*p**2 + 43*p**2 - 1 + 42*p**2. Let l(t) = -3 + 2 + 4 - 2. Determine 2*l(c) - y(c). 2*c**2 + 3 Let i be -3 + 24/7 - 800/(-175). Let l(v) be the first derivative of -v**3/3 + v**2/2 + v - 3. Let t(o) = -3*o**2 + 5*o + 5. What is i*l(w) - t(w)? -2*w**2 Let n = 8404 - 8399. Let t(p) = -23*p - 5. Let g(o) = -46*o - 9. What is n*t(r) - 3*g(r)? 23*r + 2 Let r(u) = -u. Suppose -66617 = -63*i - 133260 + 66832. Suppose -5*t - n = -2, -n = -2*t + t + 4. Let a(f) = 3 - 2*f - f + 5*f. Determine i*r(o) + t*a(o). -o + 3 Let j(c) = -1596*c**3 + 2*c**2 - 8*c. Let r(i) = -5723257*i**3 + 7173*i**2 - 28692*i. Calculate 7173*j(m) - 2*r(m). -1594*m**3 Let f = 16062 + -16050. Let l(t) = 2*t - 42. Let p(c) be the third derivative of c**4/24 - 17*c**3/6 + 5*c**2. Determine f*p(i) - 5*l(i). 2*i + 6 Let r(x) = -8*x + 7. Let s(h) = 119*h - 2. Let i(b) = 53*b - 1. Let t(k) = -9*i(k) + 4*s(k). Determine -2*r(n) + 10*t(n). 6*n - 4 Let d(a) = 15493506*a + 17214. Let i(n) = -4500*n - 5. Determine -5*d(l) - 17214*i(l). -4530*l Let k = -4 + 0. Let d(y) = -14*y - 718. Let a(s) = 11*s + 483. Let z(n) = -3*a(n) - 2*d(n). Let t(i) =
{ "pile_set_name": "DM Mathematics" }
*2 - 2 Let a(d) be the first derivative of 5*d + 1/2*d**2 - 21/4*d**4 + 3*d**3 + 282. Let c(i) = -5*i**3 + 2*i**2 + 1. What is -2*a(y) + 9*c(y)? -3*y**3 - 2*y - 1 Let z(y) = -2*y + 10. Let d(s) = 354*s + 1 - 672*s + 319*s. Calculate 12*d(r) - z(r). 14*r + 2 Let h(b) = -137*b**3 + 5*b**2 + 2*b + 5. Let z(m) = -14*m**3. Give h(p) - 8*z(p). -25*p**3 + 5*p**2 + 2*p + 5 Suppose 76*m = -a + 77*m - 10, 2*a + 2 = -m. Let k(o) = -6*o**2 + 2*o - 3. Let p(s) = 11*s**2 - 5*s + 5. Determine a*p(f) - 7*k(f). -2*f**2 + 6*f + 1 Let x(z) = 5*z**2 - 3. Let t(g) be the first derivative of g**3 - 2*g - 923. Calculate -7*t(n) + 4*x(n). -n**2 + 2 Let c(p) = 17*p - 11911. Let x(i) = 64*i - 44666. Give -34*c(l) + 9*x(l). -2*l + 2980 Let g(o) = 297*o - 27. Let c(s) be the first derivative of -27*s**2 + 5*s - 1102. What is -27*c(i) - 5*g(i)? -27*i Let k(u) = -u**2 - 5*u - 2. Let f(r) = -6*r**2 - 45*r - 12. Give -f(g) + 5*k(g). g**2 + 20*g + 2 Let d(l) = -11*l - 8. Let h(s) = 30*s + 19. Let c(m) = -11*d(m) - 4*h(m). Let v(a) = -a - 12. Determine 2*c(b) + 3*v(b). -b - 12 Let p(i) = -7*i - 92. Let j be p(-13). Let l(s) = -2*s**3 - 6*s**2 + 2*s - 2. Let x(f) = f**2. Let z(d) = -2*d - 18. Let g be z(-6). What is g*x(m) + j*l(m)? 2*m**3 - 2*m + 2 Let f = -2/2063 + 26823/4126. Let b(v) be the first derivative of f*v**2 + 9*v - 33. Let o(q) = -7*q - 5. Give -6*b(w) - 11*o(w). -w + 1 Let g(y) = 2*y**2 - 2*y - 2. Let p(j) = -5*j + 15. Let r be p(3). Suppose r*v - 3*v = -9, k + 2*v - 2 = 0. Let b(t) = 2*t**2 - 2*t - 3. Give k*b(x) + 5*g(x). 2*x**2 - 2*x + 2 Suppose h + 2*z - 19 = -6, -h + 17 = -2*z. Let x(w) = w**3 + w + 18 + 44 + 41 - 104. Let g(o) = 20*o**3 + 15*o - 15. Calculate h*x(a) - g(a). -5*a**3 Let f(j) = -17*j - 3. Let l(m) = 104*m + 1859. Give -6*f(x) - l(x). -2*x - 1841 Let d(j) = 118*j**3 + 5*j**2 + 40*j + 8. Let s(q) = q**2 + 5*q + 1. Determine -d(o) + 8*s(o). -118*o**3 + 3*o**2 Let c(h) = h**3 + 2*h**2 - 22*h - 1. Let r(z) = 1215*z**3 + 1620*z**2 - 17820*z - 810. Calculate -4050*c(l) + 5*r(l). 2025*l**3 Let c(r) = 13*r - 6. Let l(g) = 270567 - 135280 - 135286. Calculate c(y) + 5*l(y). 13*y - 1 Let z(y) = 9313*y**3 + 20*y**2 + 5*y + 10. Let u(w) = -4656*w**3 - 8*w**2 - 2*w - 4. Give 5*u(h) + 2*z(h). -4654*h**3 Let t(d) = -8198*d + 301. Let k(m) = m - 43. Determine -7*k(c) - t(c). 8191*c Let s(g) = -13*g + g - 3*g + 10*g + 1 - g. Let l(x) = 5*x. Suppose -26 = j - 29. What is j*s(t) + 4*l(t)? 2*t + 3 Let i(y) = -226*y**2 - 5*y - 127. Let z(a) = -3*a**2 - 21. What is -i(h) + 6*z(h)? 208*h**2 + 5*h + 1 Let u(n) be the first derivative of 5*n**2/2 - 2*n + 3. Suppose -17*k - 2*k - 19*k - 342 = 0. Let v(r) = r**2 - 21*r + 9. What is k*u(z) - 2*v(z)? -2*z**2 - 3*z Let w(t) = 367*t - 14. Let c(j) = -1106*j + 53. Give 2*c(m) + 7*w(m). 357*m + 8 Let d(v) = -23*v**2 + 29*v + 12. Let r(f) = 4*f**2 - 5*f - 2. Let k = 1149 - 1143. Determine k*d(z) + 34*r(z). -2*z**2 + 4*z + 4 Let t(m) = -m**3 - 3*m**2 + 6*m - 404. Let g(p) = -p**3 - 2*p**2 + 4*p - 403. Calculate -3*g(n) + 2*t(n). n**3 + 401 Let o(h) be the second derivative of h**2/2 + 23*h. Let r(w) = -12*w - 48. What is -48*o(x) - r(x)? 12*x Let u(m) = -m**2 + 2*m - 5. Let b(y) = -30*y**2 - 14*y + 32. Let x(h) = b(h) + 7*u(h). Let g(n) = 112*n**2 + 8. What is -3*g(r) - 8*x(r)? -40*r**2 Let b(i) = i**2 + 3*i + 2. Let g(z) = 7*z**2 + 1. What is -b(p) + g(p)? 6*p**2 - 3*p - 1 Let s(i) = -15*i**3 + 27*i**2 - 26*i - 6. Let w(p) = -16*p**3 + 26*p**2 - 35*p - 8. Give 4*s(x) - 3*w(x). -12*x**3 + 30*x**2 + x Let x(i) = 2653*i**3 + 10*i**2 - 10. Let s(w) = -2115768*w**3 - 7974*w**2 + 7974. Determine 5*s(a) + 3987*x(a). -1329*a**3 Let x(o) = -72*o**2 + 95*o + 1. Let h(r) = -49*r**2 + 91*r. Determine -3*h(y) + 2*x(y). 3*y**2 - 83*y + 2 Let g(m) = 616*m**3 + 38*m**2 + 4. Let l(q) = 307*q**3 + 22*q**2 + 2. Determine -3*g(h) + 5*l(h). -313*h**3 - 4*h**2 - 2 Let w(g) = 173960*g**2 + 10*g - 173960*g**2 - 2*g**3 + 3. Let f(r) = 5*r**3 - 30*r - 8. Give -3*f(x) - 8*w(x). x**3 + 10*x Let b(i) = 25*i**2 + i + 2632. Let x(k) = -67*k**2 - 2*k - 7896. Determine -8*b(j) - 3*x(j). j**2 - 2*j + 2632 Let j(l) = -l**2 + 25*l - 100. Let x be j(17). Let v(q) = -40 - 15*q + 20*q - 8*q**2 + x. Let f(m) = -7*m**2 + 4*m - 3. Give 6*f(w) - 5*v(w). -2*w**2 - w + 2 Let l(h) = 24*h + 722. Let j be l(-30). Let b(x) = -x**2. Let y(i) = 7*i**2. Give j*y(f) + 6*b(f). 8*f**2 Let v(s) = -42*s**3 + 40*s**2 + 3*s - 9. Let n(i) = -10*i**3 + 10*i**2 + i - 2. Determine 9*n(q) - 2*v(q). -6*q**3 + 10*q**2 + 3*q Let y(d) = 6*d**3 - 3*d**2 - 5*d - 5. Let l(x) be the third derivative of -x**4/24 - x**3/6 + x**2 + 54. Calculate 5*l(v) - y(v). -6*v**3 + 3*v**2 Let c(q) = 28*q**2 + 11*q + 152. Let p(t) = 25*t**2 + 9*t + 145. Give 5*c(s) - 6*p(s). -10*s**2 + s - 110 Let g(c) = -c**2 + 2*c - 7. Let h be g(-5). Let x(l) = -7*l**2 + 42*l. Suppose 107*n - 48 - 61 = -2. Let d(b) = b. Determine h*d(p) + n*x(p). -7*p**2 Let d(f) = 26*f**2 - 3. Let j(b) = 25*b**2 - 4. Let v = 9747 - 9744. Calculate v*j(x) - 4*d(x). -29*x**2 Let b(n) = -7*n**2 - n - 2. Let z(i) = 6*i**2 - 49*i + 1. Let k(a) = -5*a**2 + 39*a - 1. Let x(r) = 5*k(r) + 4*z(r). Let c = -20 - -21. What is c*x(w) - b(w)? 6*w**2 + 1 Let q(l) = 97*l**3 - 2*l**2 + 2*l - 25. Let m(o) = 195*o**3 - 5*o**2 + 5*o - 51. Calculate 2*m(h) - 5*q(h). -95*h**3 + 23 Let v(w) = 10*w**3 + 15*w + 15. Let g(u) = -u**3 + 45*u**2 - 89*u - 94. Let s be g(43). Let i = s - -238. Let n(t) = t**3 + t + 1. Determine i*n(r) - v(r). 5*r**3 Let t(b) = 21054*b - 35. Let w(s) = -217560*s + 360. Calculate 144*t(y) + 14*w(y). -14064*y Let z(k) = -10*k + 3. Let p(n) = 11*n - 2. Suppose -d + 12 = -2*w, 86*d - w + 16 = 91*d. Give d*p(t) + 3*z(t). 14*t + 1 Let i(d) = -131*d - 50. Let x(q) = -265*q - 94. Let m(h) = 11*i(h) - 6*x(h). Let b(r) = 50*r + 5. Give -8*b(k) + 3*m(k). 47*k + 2 Let k = -18598 - -18601. Let a(v) = -11*v**2 - 2*v - 3. Let f(y) = -10*y**2 - 2*y - 2. Give k*f(x) - 2*a(x). -8*x**2 - 2*x Let g(q) = 3*q**2 + 2*q - 3. Let f(d) = 3*d**2 + 3*d - 4. Let s be (-28)/14*(-7)/28*-10. What is s*g(b) + 4*f(b)? -3*b**2 + 2*b - 1 Let o(y) = -56*y + 4. Let j(q) = 11*q - 1. Let x = -27 - -43. Let s(d) = x*j(d) + 3*o(d). Let w(z) = 7*z - 3. Give -5*s(m) + 6*w(m). 2*m + 2 Let r(a) = -2*a**2 - a + 3. Let f = -117531 - -117528. Let k(u) = u**3 + 3*u**2 + 2*u - 4. Let y(z) = -z - 1. Let j be y(1). Determine f*r(l) + j*k(l). -2*l**3 - l - 1 Let y(k) = 3*k**3 - 2*k**2 - 159*k + 6. Let d(m) = -4*m**3 + 3*m**2 + 159*m - 9. What is -2*d(u) - 3*y(u)? -u**3 + 159*u Let o(c) = 8*c - 95. Let x(q) = 22*q. What is o(u) - x(u)? -14*u - 95 Let z(i) = 55*i + 46*i - 169*i + 57*i + 1. Let g(a) = a - 1. What is 4*g(f) + z(f)? -7*f - 3 Let g(t) = t + 1. Let v = 3701 - 3702. Let w(z) = -6*z + 6. Calculate v*w(p) - 4*g(p). 2*p - 10 Let q(k) be the first derivative of -5*k**2 + 6*k + 2. Let b(n) be the second derivative of 3*n**3/2 - 5*n**2/2 - 4963*n. Give 4*b(t) + 3*q(t). 6*t - 2 Let p be (28/3)/(((-80)/(-24) - 4)*1). Let i(d) = 10*d. Let t(y) = y. Determine p*t(r) + 2*i(r). 6*r Let d(y) = 4440*y - 31. Let k(p) = -1110*p + 7. What is 2*d(z) + 9*k(z)? -1110*z + 1 Let l(s) = s + 18. Let d be l(-22). Let p be -4*d/10*-15. Let h(y) = 3*y**3 - 5*y - 5. Let v(t) = -15*t**3 + 24*t + 24. Determine p*h(j) - 5*v(j). 3*j**3 Let z(d) = -4*d**2 - d - 8. Suppose -289 = 109*p - 126*p. Let y(u) = -13*u**2 - 3*u - 23. What is p*z(a) - 6*y(a)? 10*a**2 + a + 2 Let r(x) = 2*x - 10. Let i(c) = -c - 12. What is 5*i(m) - 5*r(m)? -15*m - 10 Let i(y) = -4*y**2 + 7. Suppose -17*o - 24 = -58. Let x(h) = 1 - 61*h**o - 56*h**2 + 116*h**2. Give -i(a) + 3*x(a). a**2 - 4 Let d(u) = -2*u**2 + 6*u + 9. Let z(l) = l + 1. Let b = 70 - 9. Let i = 62 - b. Let f(o) = 7*o**3 - o**2. Let a be f(i). Give a*z(j) - d(j). 2*j**2 - 3 Suppose -40*g - 210 = -250*g. Let k(w) = w**2 - w + 1. Let q(p) = -7*p**2 + 3*p - 17. Give g*q(u) + 5*k(u). -2*u**2 - 2*u - 12 Let z(n) = 1047*n**3 - 8*n**2 + 8. Let t(d) = -1925432*d**3 + 14714*d**2 - 14714. Calculate 4*t(a) + 7357*z(a). 1051*a**3 Let v(d) be the first derivative of d**4/2 - 20*d**3/3 - 5*d**2/2 - 5*d + 2642. Let y(c) = c**2 - c - 1. Give -v(p) + 5*y(p). -2*p**3 + 25*p**2 Let v(x) = -1. Let f(t) = -20*t - 61. Let g(m) = -5*m - 14. Let w(r) = 2*f(r) - 9*g(r). Give -4*v(q) - w(q). -5*q Let
{ "pile_set_name": "DM Mathematics" }
9*y**3 as b + d*y**2 + q*y + w*y**3 and give w. -3 Rearrange (3 + 0 - 5)*(-1555 - 379*p + 1555) to the form u*p + y and give u. 758 Express -1 - 2*y + 1 + 3 - 3 + 2*y - 2 + 2 + 2*y + (1 - 2 + 2)*(-4*y + 4*y + y) + 75 - 2*y - 96 + 247 + (2 - 3 - 1)*(1 - 1 - 2*y) as j + t*y and give t. 5 Express (-5 - 1 - 1)*((3 - 6 + 2)*(5 - 5 + 2*u) + 0 - u + 0 + 5*u - 4*u + 6*u - 3*u - 1 + 1) in the form i*u + k and give i. -7 Rearrange (1 - 1 + 2*p**2)*(97*p - 218*p + 93*p)*(-4*p + 3*p - 2*p) to b*p**4 + a*p**2 + o + d*p + x*p**3 and give b. 168 Rearrange (9*b + 30 + 26 - 54)*((-3 + 3 - b)*(b**2 + 2*b**2 - b**2) - 56*b**3 + 97*b**3 + 34*b**3) to the form q*b + f*b**2 + z*b**4 + o*b**3 + a and give z. 657 Rearrange 86*z**2 + 57*z**2 + 14*z**2 + 130*z**2 to y*z**2 + k + q*z and give y. 287 Rearrange 1954*m - 16*m**3 + 3*m**3 - 974*m + m**2 + 2*m**4 - 970*m to the form u*m**4 + o*m + i + v*m**3 + a*m**2 and give u. 2 Express 425*h**2 - 3*h**4 + 13 + 2*h**3 - 2*h + h**4 - 422*h**2 as k*h + y*h**4 + z*h**2 + d + u*h**3 and give y. -2 Express -24*o + 1757*o**2 - 879*o**2 - 879*o**2 in the form j + r*o + a*o**2 and give r. -24 Express 134*v**3 + 2*v - 76*v**3 + 34 - 1 - 62*v**3 in the form c*v**2 + p*v + q + a*v**3 and give p. 2 Express 261*y - 87*y + 41 - 92*y - 86*y as k + u*y and give u. -4 Rearrange -33*o**4 + 6*o - 14*o + 31*o**4 - 9*o**3 to the form c*o + y + v*o**2 + h*o**3 + n*o**4 and give h. -9 Rearrange 19*d**2 - 3*d - 20*d**2 - 108*d**4 - 1 + 107*d**4 to u*d + k*d**3 + o*d**4 + j*d**2 + l and give u. -3 Express -10*n**3 - 3*n**2 - 2*n**2 + 3*n**2 - 8*n**3 + 19*n**3 - 78*n in the form z*n**3 + d*n + x*n**2 + r and give z. 1 Express 24 + 38 - 28*y - 60 as j + o*y and give o. -28 Express w**2 - 2*w**3 + 3*w + 3*w - 8*w + 4*w**3 - 1 in the form t*w + s*w**2 + f*w**3 + h and give s. 1 Express (-9 + 31 - 4)*(0*y - 3*y + y)*((-2*y + 4*y - y)*(2*y**2 + 0*y + 0*y) - 2*y**3 + 0*y**3 + y**3) as r*y**2 + k + h*y + a*y**4 + m*y**3 and give a. -36 Rearrange -18*y**2 + 27*y**2 - 11*y - 21*y**3 - 1 + 23*y**3 to the form g*y**3 + o*y + l + r*y**2 and give r. 9 Express 115 + 128 + 13*p - 4*p - 59 - 8*p as s*p + w and give w. 184 Express 3*b - 2*b**3 + 39 - b + 42 - 81 - b**2 in the form o*b**3 + m + c*b + v*b**2 and give c. 2 Express -24*s + 16*s + 100*s**3 + 25*s - 99*s**3 in the form m*s**2 + x*s + c*s**3 + h and give c. 1 Express (4 + 2*b**2 - 6 - 3*b**2)*(46*b + 107*b + 25*b) as g*b + l*b**2 + n + f*b**3 and give g. -356 Express -41*r**3 - 1 - 22*r + 3*r**2 - 2*r**4 + 76*r**3 - 34*r**3 as x + s*r**2 + d*r + f*r**3 + o*r**4 and give s. 3 Express -24 + 82 - 33 + 5*i**2 + 3*i**3 - i - 30 as o + g*i**3 + f*i + w*i**2 and give g. 3 Express 18*o - o**2 - 2*o + 45*o**3 + 2 - 17*o as p*o**2 + r + n*o**3 + a*o and give r. 2 Rearrange (l**4 + 0 + 2 - 3*l**4)*(81 - 198 - 12) + (2 + l**3 - 2)*(3*l - 2 + 2) to m*l**4 + g*l**2 + q*l**3 + a*l + r and give r. -258 Express 177 - q - 177 - 125*q**3 as z*q**3 + m + a*q**2 + l*q and give z. -125 Express -1490 + 1490 - 299*z as u + f*z and give f. -299 Rearrange (-29 - 5*i**2 + 29)*(1 + 0 - 5 + 10 - 7 + 3 - 4 + 1 + 1 + 1 + 5 - 5 + (3 + 3 - 4)*(0 + 1 + 0)) to the form m*i + f + q*i**2 and give q. -15 Express 3*r - 75*r**2 - 72*r**2 + 140*r**2 in the form v + w*r + i*r**2 and give w. 3 Rearrange ((-2 + 1 + 2)*(-2 + 2 + 1) + 12 + 5 - 34)*(7*u - 4*u - u - 3) to the form q + g*u and give g. -32 Express 0 - 1 - 9 - 1 + 12*d - 1 as o + j*d and give o. -12 Rearrange 1108*s + 18*s**3 - 2*s**4 - 1 - 17*s**3 - 1098*s to the form o*s**2 + w + t*s**3 + r*s + h*s**4 and give w. -1 Rearrange -124 - 90 + 396 - 3*c**2 - 122 to the form l*c**2 + w*c + p and give p. 60 Express -5*i**2 + 42*i**2 - 42 + 82 - 27 in the form h*i**2 + d + v*i and give h. 37 Express 14*y**2 + 15*y**2 - y**2 + (0 + 0 - 4*y)*(y + 2*y - 2*y) as u*y**2 + i*y + r and give r. 0 Express 0 + 32*z**2 - 15*z**2 - 18*z**2 - 1 + 2 + 17*z**4 as m*z + v*z**3 + d + f*z**2 + j*z**4 and give d. 1 Rearrange -4*b**2 + 45 + 14*b**3 - 45 - 12*b**3 + 2*b to z*b**3 + l + g*b + i*b**2 and give z. 2 Express (-i - 21 + 0*i + 50)*(-23 - 2 - 22)*(0 - 2 + 1) as g*i + t and give t. 1363 Express -1491*k - 4 + 690*k + 732*k as y + d*k and give d. -69 Express (-105*d + 18*d - 10*d + (4*d - 2*d - d)*(-1 - 1 + 0))*(1 + 0 - 2) in the form n + z*d and give z. 99 Express (-6*j + 2*j + 6*j)*(19*j + 32*j - 29*j)*(-5 + 5 - 2)*(2 - 2 + 2) in the form i + g*j + v*j**2 and give v. -176 Express 2*z**4 - 38 + z + 31 - 6*z**2 - z**3 + 8*z**2 in the form l*z**3 + w*z**4 + o + u*z**2 + y*z and give u. 2 Rearrange -3*g + g**2 + 140 - 5*g - 140 + 7*g + 4*g**4 to q*g + f + l*g**4 + i*g**2 + t*g**3 and give t. 0 Express (52*o - 52*o + 14*o**3)*(o + 2*o - 7*o) as s*o**3 + l*o**4 + a*o**2 + k + d*o and give l. -56 Rearrange 337*q**2 + 4*q + 2*q - 7*q + 3*q - 120*q**2 to the form o*q + u*q**2 + m and give u. 217 Express (-1 - 2*r + 1)*(11 - 11 + 38206*r - 34971*r) as w + d*r**2 + f*r and give d. -6470 Express (-28 + 28 + 26*m)*(5 - 54 + 3) in the form b*m + u and give b. -1196 Express -1081*g + 17282 - 17282 - 26*g as u + z*g and give z. -1107 Rearrange (-2*t**3 - 4*t**3 + 5*t**3)*(4*t - t + 2*t)*(4 + 8 - 3) to the form q*t + g*t**3 + w*t**2 + y + v*t**4 and give v. -45 Rearrange -35*o - 74*o - 2 + 27*o + 3*o - 144*o + 5*o**2 to the form l + u*o**2 + r*o and give r. -223 Rearrange -13*y**3 - 257*y**2 - 23*y**3 + 49*y**3 - 14*y**3 to u*y**3 + b*y + k*y**2 + r and give u. -1 Rearrange 7*s**2 - 10 - 5*s - 25*s + 30*s to the form k*s + b + u*s**2 and give u. 7 Express 5*t**3 - 2 + 15*t**3 - 23*t**3 + 3*t**2 + 5*t**3 + t**4 + 3*t as i*t**4 + r + j*t**3 + y*t**2 + d*t and give y. 3 Rearrange (5*z - 4*z - 2*z)*(-6 + 15 + 9) + 3 + 13*z - 3 to the form r + x*z and give x. -5 Express 15 - 12 + 238*v**2 - 192*v**2 in the form z + j*v + d*v**2 and give d. 46 Express -223*s + 5342 - 5342 in the form x*s + a and give x. -223 Rearrange 412*g - 1160*g + 412 - 412 to the form f + z*g and give z. -748 Express 4*s**2 - 47*s**3 + 22*s**3 + 17*s**3 + 12*s**3 + 3 in the form q*s**2 + b*s + o*s**3 + f and give f. 3 Express 713*s - 279*s + 400 + 404 - 804 in the form v + m*s and give m. 434 Rearrange (5*f - 4*f - 7*f)*(19 + 3 + 26) to l + r*f and give r. -288 Express d**3 + d**3 - 7*d**3 + (2*d**3 + d**3 - 2*d**3)*(2 + 0 + 0) + (2 - 12 - 3)*(d**3 + 0*d**3 + 4*d**3) as h*d + r*d**3 + t*d**2 + a and give r. -68 Express ((4*b - 3*b - 3*b)*(0*b + b + 2*b) + 3*b**2 - 6*b**2 - b**2)*(-3*b - 2*b + 3*b) as a*b**2 + d*b**3 + p + m*b and give d. 20 Express 12*y**3 + 63*y - 14*y**3 + 9*y as n*y**2 + f*y**3 + q + b*y and give f. -2 Rearrange (-4732 + 2*z**2 + 4730 - z**2 - 23*z**4)*(1 - 3 + 1) to the form b + g*z**3 + j*z**4 + c*z**2 + i*z and give j. 23 Rearrange (2 - 2 - 1)*(4 - 2*r**3 - 4) + 824*r**3 - 8177*r**2 + 164*r**3 - 2*r + 8179*r**2 to the form y*r**3 + p + w*r**2 + a*r and give y. 990 Express -13*d**3 + 15*d**3 - 523*d + 521*d - 24 as k*d**3 + b + o*d + c*d**2 and give b. -24 Rearrange 51*b**2 + 4 - 8*b - 2*b**3 + 6*b - 50*b**2 + (b**2 + 2 - 2)*(-1 + 1 - 2*b) to h*b**3 + t*b + u*b**2 + f and give t. -2 Rearrange 11*y - 23*y**3 + 2*y**4 - 20*y**3 + 46*y**3 + 5*y to h + w*y**2 + x*y + s*y**3 + j*y**4 and give x. 16 Express ((-4*z**2 + 4*z**2 - 2*z**3)*(1 - 3 + 0) + 0*z + 0*z + z**3)*(-237*z + 84473 - 84473) in the form u*z**4 + q*z + g*z**3 + c + o*z**2 and give u. -1185 Rearrange 2*c - c + 66 - 49 + 53 to t + m*c and give m. 1 Express -2 - 23*m**4 - m**3 - 2*m**3 + 4*m**3 - 3*m + 24*m**4 as h*m**4 + q + c*m**2 + j*m**3 + b*m and give h. 1 Rearrange 714*w - 147*w - 89*w + 217*w + 843*w to g + j*w and give j. 1538 Rearrange (0 - 5 + 4)*(-4*m + 5*m - 3*m)*(16*m**2 - 5*m**2 + 14*m**2) to c*m**3 + w*m**2 + v*m + k and give c. 50 Rearrange 153*c - 104*c + 439*c + 2236*c to the form l + p*c and give p. 2724 Express (8 + 4 - 3)*(8 + u - 8)*(-2 + 3 + 1) in the form x*u + s and give x. 18 Express (-2*g + 2*g - 4*g + (2 - 4 + 4)*(0*g + 0*g + 6*g))*(-81 + 81 - 16*g**2) as k + d*g**3 + i*g**2 + w*g and give d. -128 Rearrange 0*l + 0*l - 2*l**2 - 2*l**3 - 2*l - 18 + 0*l**2 + 176 to g*l + z*l**3 + d + s*l**2 and give d. 158 Rearrange 5*q**4 - 3*q**3 - 94*q - 2 + 35*q + 29*q + 32*q to w*q**3 + b*q**2 + a + z*q + x*q**4 and give a. -2 Rearrange (-s + 2*s - 2*s)*(6*s - 6
{ "pile_set_name": "DM Mathematics" }
+ y - 10*y) - 12 - 3*y**2 + 12). -11*y**2 Expand (124*z**2 - 124*z**2 + 11*z**3)*((-8*z - 4*z + 0*z)*(-1 - 1 + 0) - 2*z + 3*z + z). 286*z**4 Expand (22*a**2 + 40 - 49 - 43*a + 8)*(6*a**3 - 2*a**3 + 4*a**3). 176*a**5 - 344*a**4 - 8*a**3 Expand (-4*b - 2*b + 4*b + (b + 0*b - 2*b)*(-2 - 1 + 5) + b + 0*b + 0*b - 22*b - 3020 + 3020)*(-53 - 12*b**4 + 53). 300*b**5 Expand (4*w - w + w)*(-1 + 2 - 2)*(0*w + 3*w - 2*w)*((77 - 42 - 47)*(-w + 2*w + 0*w) + 5*w - 3*w - 4*w). 56*w**3 Expand -306*i**2 + 146 - 146 + (-2 - 2 + 3)*(-3*i**2 - i**2 + i**2) + (5*i - 3*i - 3*i)*(-2*i + 0*i + 0*i). -301*i**2 Expand (2*c - 35 - 3*c + 0*c)*(82 + 151 - 45). -188*c - 6580 Expand (0 + 3*h + 2 - 4*h)*(-8*h + 20 - 20)*(349*h**2 - 243*h**2 - 181*h**2). -600*h**4 + 1200*h**3 Expand 4*p**3 - 4*p**3 + 3*p**4 + (-3*p + p**2 + 3*p)*(2*p**2 - 2*p + 2*p) + 3*p**4 + 2*p**4 - 4*p**4 + (-p - p + 4*p)*(-44 - 31 - 22)*(1 - 1 + 2*p**3). -382*p**4 Expand 2*r**3 - 4*r**3 + 0*r**3 + (-3*r - 3*r + 5*r)*(-5 + 5 + r**2) - 3*r**3 - 2*r**3 + 3*r**3 - 2*r**3 + 7*r**3 - 4*r**3 - 370*r**3 + 1380*r**3 - 547*r**3. 459*r**3 Expand (4*k**3 + 0*k**3 - 6*k**3)*(1977*k + 240*k - 11727*k - 3474*k). 25968*k**4 Expand (-2*u**2 + 2*u - 2*u)*(-5*u**2 + 1 - 1) + (-176 - 180 + 460*u + 356)*(3*u**3 - u**3 + 0*u**3). 930*u**4 Expand (d**3 - d**4 - d**3)*(2 - 1 - 2) + (-340*d**2 - 486*d**2 + 170*d**2)*(-4 + d**2 + 4). -655*d**4 Expand -h - 3*h + 3*h + (4 + 0 - 3)*(-6*h - 3*h + 13*h) + (-h - 4*h + h)*(-2 - 1 + 1). 11*h Expand 0*w - 5*w + 6*w + w + 4 - 4 + (0 + 0 - 2*w)*(1 + 0 + 1) + 0 + 0 - w + (-2*w + 2*w + 2*w)*(5 + 0 + 3)*(-29 + 7 + 8). -227*w Expand (-4 - 12 + 5)*(6 + 4*d**3 - 6 + 8*d**3 - 2*d**3 - d**3 + (-4*d**2 + 2*d**2 + 0*d**2)*(3*d - d - 3*d)). -121*d**3 Expand (56233 + 276*r**2 - 56233)*(5*r - 2*r + 0*r). 828*r**3 Expand b**3 - 1 + 1 + (-240*b + 127*b + 139*b)*(0*b + 5*b + 0*b)*(-4*b + 1 - 1). -519*b**3 Expand (14 - 19*d - 14)*(-d**2 - 14*d + 5 + 14*d) + 5*d**3 - 2*d**3 - d**3 + (7 - 7 - 8*d)*(0*d**2 + d**2 - 3*d**2). 37*d**3 - 95*d Expand (240*p + p**2 - 38742 + 38742)*(9*p - 7 + 7)*(2 + 0 + 0). 18*p**3 + 4320*p**2 Expand (5 - 2 + 10)*(-22*o + 108 - 108). -286*o Expand (135 - 135 - 25*x)*(-90 + 128 + 133)*(-1 + 2 + 0). -4275*x Expand -2315*p - 2363*p + 5323*p + 2 + p + 4*p - 4*p + 2 + 2*p - 2 + (3 - 3 + 2)*(-3*p + 4*p - 3*p) + 1 - 1 - 2*p - 2*p + 3 - 3. 640*p + 2 Expand -10*l + 10*l + 5*l**3 + ((0 + 3 + 0)*(-3 + 3 - 2*l) + 26*l + 23*l + 13*l)*(7 + l**2 - 7). 61*l**3 Expand (-6*i + 1 - 1)*(14 - 125 + 16)*(8*i + 4 - 4). 4560*i**2 Expand (2031*x**2 + 29892 - 29892)*(-5 + 5 - 3*x). -6093*x**3 Expand -6*q + 2*q - 3*q - 2*q + 2*q - 2*q + q + 0*q + 0*q + (5*q - 4*q - 2*q)*(3 - 6 + 1) - 78*q - 24 - 31 + 54. -84*q - 1 Expand 25*b**5 - 29*b**5 - 33*b**5 - 25*b**5 + (-2 + 2*b + 2)*(1 - 4 - 1)*(-b**4 + b**4 - 3*b**4). -38*b**5 Expand (p - 2*p + 0*p)*(2*p - p - 2*p) - 17*p**2 + 2*p**2 - 10*p**2 + 4*p**2 - 2*p**2 - 1 + 2*p**2. -20*p**2 - 1 Expand (-1 + 3*n**2 + 1)*(-2634 + 1955 - 3414). -12279*n**2 Expand -15 + 0*m**3 + 1 + 2*m**3 + (-5*m - 15*m + 117*m)*(-6 + 4 + 0)*(-3 + 6 - 2*m**2 + 0*m**2). 390*m**3 - 582*m - 14 Expand (-2*c + 0*c + 4*c + (c + 0*c + 0*c)*(13 - 6 - 10) + 0 + 0 - 2*c + (-3*c + 5*c - c)*(-4 + 3 + 2) + c - 4*c + c + c - 2*c - c)*(37 + 5 - 12). -180*c Expand (3*g - 4 + 4)*(-158*g**2 - 185*g**2 + 456*g**2)*(-1 + 3*g + 1 + (1 - 2 + 2)*(-1 - 2*g + 1) - 1 + 1 - 3*g + (-1 + 2*g + 1)*(4 - 5 - 1) + 2*g - 1 + 1). -1356*g**4 Expand (-4*m - 4*m + 5*m - 4*m + 6*m + 3*m + (0 - 3 + 1)*(4 + 1 - 3)*(m + m - 3*m))*(12*m - 8*m - 11*m). -42*m**2 Expand ((-40 - 41 + 33)*(-2*t - 3*t + 3*t) + (0 - 1 - 2)*(-2 + 2*t + 2))*(-8*t**2 - 13*t + 13*t). -720*t**3 Expand (-t - 2*t**2 + t)*(2*t**2 - t**2 + t**2)*(t + 4*t + 3*t) + (-34*t**5 + 12*t**5 + 20*t**5)*(-2 + 4 + 3). -42*t**5 Expand -p**2 + 5*p**2 - 5*p**2 + (-2*p + 3 - 3)*(-3*p - 2*p + 3*p) - p**2 + 4*p**2 - p**2 + (1 - 6 - 74*p + 69*p)*(2*p + 3*p - 6*p). 10*p**2 + 5*p Expand (28767 - 7056 - 14519 - 2888 + 29163 + 34446)*(-2*v**2 - 2*v**4 + 2*v**2). -135826*v**4 Expand (2*d - 2*d**3 - 2*d)*(198015 - 198015 - 3278*d**2). 6556*d**5 Expand (80*b - 79*b - 1 - 3)*(-2*b - 16 - 5*b + 5*b). -2*b**2 - 8*b + 64 Expand (2*j - 2*j - 4*j**2)*(-j**3 + 6*j**3 + 2*j**3) + 7*j**5 + 15*j - 15*j. -21*j**5 Expand (-1 - 1 - 2 + 1 - 3 + 0 + (-5 + 0 + 3)*(-2 + 1 + 3) - 3 + 4 - 3 - 1 + 2 - 3 + 3 + 2 - 3)*(-4*g - 6*g**2 + 4*g)*(0 + 1 + 4)*(0*g - 3*g + 2*g). -360*g**3 Expand (3 - 1 + 0)*(-6*f + f + 3*f) - 4*f + f + f - 3*f + 3*f + f + 3*f - f + 0*f + 12*f - 408 + 254 - 35*f + 59*f - 523. 33*f - 677 Expand (21139*s - 142*s**2 - 21154*s - 235*s**2)*(-2*s + s + 0*s)*(4*s - 2*s - 4*s). -754*s**4 - 30*s**3 Expand (-1 + 3 + 1)*(29 - 35 + 158*k + 11652*k**3 - 2*k**2 - 11655*k**3). -9*k**3 - 6*k**2 + 474*k - 18 Expand i + 5 - 4 - 2 + (6*i - 3*i + 2*i)*(841 + 417 + 1675 + 3909). 34211*i - 1 Expand (-3*u + 3*u - 3*u)*(-141 - 297 - 101 + 46). 1479*u Expand (-w + 0*w - w)*(-4*w + 3*w - 3*w) + 90*w - 47*w - 299*w**2 - 43*w. -291*w**2 Expand 396*j - 396*j + 52*j**4 + (-j**3 + 0*j**3 + 5*j**3)*(7*j + 2*j + 6*j). 112*j**4 Expand 3*o - 5*o + 4*o + (0 - 3 + 2)*(-8*o + 15 - 15 + 4*o - o - 2*o + (1 - 1 - 2)*(1 - 1 - o) - 6*o - 6*o - 2*o). 21*o Expand (-w**3 - w**3 + w**3)*(-4*w**2 + w**2 + 5*w**2)*(4 + 3 - 4) + (-4*w + 0*w**3 + w**3 + 3*w)*(-45*w**2 - 74*w + 74*w)*(-2 + 0 - 1). 129*w**5 - 135*w**3 Expand (q + q - q)*(q**2 + 2*q**2 - 2*q**2) + (-2*q + 2*q + 2*q)*(-5*q**2 + 2*q**2 + q**2) + 6*q**3 + 79*q**3 - 292*q**3. -210*q**3 Expand (6*y - 2*y - y)*((4 - 3 + 2)*(2*y + 2 - 2) + 2 - 2 + 2*y)*(6 - 6 + 3*y - 7). 72*y**3 - 168*y**2 Expand 2*y**4 - 603*y**3 - 4*y**4 + 599*y**3 - 48 + (3*y - 2*y - 3*y)*(5*y**3 - 2*y**3 - 2*y**3). -4*y**4 - 4*y**3 - 48 Expand (17*j - 69*j - 35*j)*(101*j**2 - 301 + 301)*(0*j**2 + j**2 + j**2). -17574*j**5 Expand (-4017*y + 4013*y - 4 - 7*y**4 + 4)*(-3*y - y + 3*y + 2*y - 5*y + 4*y + (-2 + 3 - 3)*(-y + 4*y - 4*y) - 4*y + y - 3*y). 28*y**5 + 16*y**2 Expand ((-5 + 2 + 2)*(1 - 1 - 2) - 2 + 0 + 3 + 1 - 2 + 2)*(0 + 1 - 3)*((-64*h**2 + 179*h**2 + 82*h**2)*(6 - 2 - 2) + 0*h**2 - 3*h**2 + 0*h**2). -3128*h**2 Expand (o**4 + 2790587*o - 3123*o**3 - 2790587*o)*(o - 3*o + o). -o**5 + 3123*o**4 Expand (-7*n + 3*n + 17*n + (n - 4*n + 2*n)*(-4 + 1 + 1) + 0*n + 4*n - 5*n - n + 0*n + 2*n)*((-1 + 1 + 3)*(2 + 1 + 0) + 1 - 2 + 4)*(-n + n + n). 180*n**2 Expand 0*b**2 - b**2 + 2*b**2 + (20*b - 4*b + 57*b)*(-5*b - 1 - b - b). -510*b**2 - 73*b Expand (36*z + 36*z - 73*z + 1)*(11*z**2 + 17*z**2 + 9*z**2). -37*z**3 + 37*z**2 Expand ((-5*o - o**2 + 5*o)*(o - 5*o + o) + (-3*o + 4*o - 3*o)*(-6 - 6*o**2 + 6))*(10*o**2 + 3*o**2 + o**2). 210*o**5 Expand -7*q**2 + 19*q + 21*q + 8*q**2 + (-23*q - 26*q - 7*q)*(-6*q + 3*q + 4*q). -55*q**2 + 40*q Expand -5*a - 42*a - 224*a - a + 5 - 5 + (2 - 2 - 2*a)*(3 - 1 + 0) - 1 + a + 1 - a - a + 0*a + 1 - 1 + 2*a + (0*a + 4*a - 5*a)*(-3 + 1 + 4) + 2*a - a - 2*a. -278*a Expand (-q + 3*q - q + 4)*(11 + 23 - 4)*(q**3 - 2*q**3 + 14*q**3). 390*q**4 + 1560*q**3 Expand (0*g - 3*g + 2*g)*(-3*g**3 + g**3 + 3*g**3) + 23*g**4 - 30*g**4 - 59*g**4 + (88 - 88 + 24*g)*(-g**2 + g**2 + 2*g**3). -19*g**4 Expand (s**2 + 10 - 10)*(3*s + 4*s - 4*s) - 5*s**3 + 5*s**3 - 2*s**3 + (-2 + 2 - s)*(-2*s**2 + 3*s**2 + 0*s**2)*(39 - 20 - 48). 30*s**3 Expand (508 - 19*v**2 - 508)*(0 - 3 + 5) + (2*v**2 - 3*v**2 + 2*v**2)*(-3 - 3 + 5) + 2 - 2 - 2*v**2. -41*v**2 Expand (-2152 - 2531 - 3148 - 1835 - 1780)*(-4*b + 6*b + 0*b). -22892*b Expand (4*f**2 - 6*f**2 - f**2)*(261*f - 61*f - 880*f). 2040*f**3 Expand (14 + 4 - 29*x + 28*x + (81 + 3*x - 81)*(6 - 1 + 3))*(2 + 1 - 2)*(0*x + x - 2*x). -23*x**2 - 18*x Expand (-239 - 60*i + 239)*(-6*i**4 - 4*i + 66*i**2 - 66*i**2). 360*i**5 + 240*i**2 Expand (-2746*j - 9783*j + 4671*j)*(4 - 2*j - 4). 15716*j**2 Expand (4 - 52 + 8 - 25)*((10*y - 5*y + 2*y)*(-y - 2*y**2 + y) + 0*y**3 + 6*y**3 - 4*y**3). 780*y**3 Expand (-869*y**2 + 869*y**2 - 37*y**3)*(131*y + 82*y + 107*y). -11840*y**4 Expand (-4 + 23 + 21 - 11)*(26*p**3 - 178 + 178). 754*p**3 Expand 33*h - 33*h - 2*h**4 + (3*h**2 - 2*h**2 + 0*h**2)*(-h + h - h**2) - 56 + 150*h**4 + 11 + 43 - 3*h. 147*h**4 - 3*h - 2 Expand 380665*b - 380665*b - 794*b**4 + (0 + 0 + 3*b)*(-2*b**3 - b**3 + 4*b**3). -791*b**4 Expand (-4 + 4 + 2*p**2)*(-5*p**2 + 2
{ "pile_set_name": "DM Mathematics" }
ve 0 = -j*c + 5*c + g for c. -4 Suppose 8*s + 7 = 9*s. Suppose 3*y + 4 - s = 0, 4 = g + 4*y. Let c be -2 + 2 + g - -3. Solve -c = -4*u + 5 for u. 2 Suppose v = -3*v - 128. Let q be 16/v*(0 + 0). Solve 0*o + o = q for o. 0 Suppose -3*q - 18 + 33 = 0. Solve -q*r = -0*r + 20 for r. -4 Let t = 281 + -192. Let f = -84 + t. Solve -2*m - f = -3*m for m. 5 Let i(r) = 2*r**3 + 67*r**2 - 36*r - 60. Let t be i(-34). Solve 6*d = 14 - t for d. 1 Let j(v) = -5*v**2 + 1 - 2*v + 4*v**2 + 2*v**2. Let y = 206 + -203. Let i be j(y). Solve -5*c + c = -i for c. 1 Let f(d) = d - 21. Let n(z) = z + 22. Let i(v) = -2*f(v) - 3*n(v). Let w be i(-5). Solve 4*x - w = -9 for x. -2 Let v(j) = 5*j + 1. Let r be v(1). Let u(f) = 2*f**2 - 10*f + 8. Let t be u(r). Solve -2*l + t = -7*l for l. -4 Suppose 3*n + 177 = 204. Solve 0 = -n*z - 2 + 11 for z. 1 Let z(g) = -4*g - 1. Let s be 12 - (2 + -1 - -1). Let m = 6 - s. Let a be z(m). Solve -2*w - w - a = 0 for w. -5 Let s be (-4 - 92/(-16))*88. Let o = s - 150. Solve w = o*w + 15 for w. -5 Let m(t) = -t**2 + 9. Let v be m(3). Let p(k) = k. Let c(y) = 5*y + 14. Let n(d) = c(d) - 4*p(d). Let s be n(-9). Solve s*q - q + 16 = v for q. -4 Let k be (-3)/(-12)*1*(58 - 6). Let w = 17 - k. Suppose 2*u = -2*u + 8. Solve w*n + 6 - u = 0 for n. -1 Let a(q) = -3*q. Let u = 9 + -16. Let y be a(u). Suppose 0 = -4*k - 3*n + y, 2*n + 2 = -k + 6. Solve 3 = -k*j + 3*j for j. -1 Let n(k) = k**2 + 10*k + 10. Let j be n(-9). Let h(m) = -2*m. Let f be h(-2). Suppose f*s - s = 0. Solve c + 0*c - j = s for c. 1 Let n be (13/(-13))/(2/(-18)). Solve 2*a + 3 = n for a. 3 Suppose x - 5*x + 20 = 0, 3*o - 5*x + 19 = 0. Suppose 14*t - 12*t = 0. Suppose t = -2*n - 8*n. Solve o*s = -n*s - 6 for s. -3 Suppose 3*v = 4*i, 2*v = 4*v. Let m = -37 + 38. Solve i = -y - 0*y + m for y. 1 Let p be 0/(6/9*-3). Suppose -i + 5*m = -p*m + 22, m = 5. Let o = -9 - -13. Solve -o*t = -5*t + i for t. 3 Let w(s) = -5*s + 8. Let k be w(-6). Suppose 0 = 3*l - 1 - k. Let o = 15 - l. Solve -o*c = -0 + 4 for c. -2 Suppose 18 = -3*z + 4*s - 14, 0 = 3*s - 6. Let a be ((-9)/(-12))/((-2)/z). Suppose -a - 3 = -2*h. Solve -1 = i - h for i. 2 Let s(l) = -4*l - 40. Let a be s(-13). Let c be a + -3*(6/(-2) + 4). Solve -9*f = -6*f + c for f. -3 Let j(m) = m**2 - 11*m + 15. Let b(d) = -d**3 - 14*d**2 - 2*d - 18. Let q be b(-14). Let y be j(q). Solve 10 = -y*r + 30 for r. 4 Suppose 2*m - 23 = -15. Solve m*o = 21 - 9 for o. 3 Let s = 11 + -16. Let n(b) = b + 3*b + 63 + b**2 - 66. Let v be n(s). Solve v*i = -i for i. 0 Let i be ((-10)/4)/(2/(-4)). Suppose o + 4*r - r = 7, i*o = r + 19. Solve o*u + u - 25 = 0 for u. 5 Suppose 2*y - 4*y = -10. Suppose -y*n - 25 = -65. Let f = -4 + n. Solve -12 = h - f*h for h. 4 Suppose 22 = 5*l - 0*l + 4*j, 2*l + j = 7. Let v(b) = -5*b + 3*b - 2*b - 1 + 3*b. Let n be v(-4). Solve f - l = n*f for f. -1 Let k(y) = -y**2 - 11*y - 3. Let t be k(-6). Let h = 31 - t. Suppose -4*x - 16 = -2*f, 0 = -4*f - 0*x + 3*x + 22. Solve h*l - f = 2*l for l. 2 Let o(g) = 4*g - 1. Let q be o(1). Suppose v + 4*v - 2*u - 21 = 0, 3*u = q*v - 9. Solve -9 = v*n + 1 for n. -2 Let x(i) = i + 3. Let o be x(4). Let t = o + -1. Suppose 8*v = 6*v + t. Solve -v*b - 2 = 10 for b. -4 Let y(t) = -13*t**2 - 303*t + 32. Let z be y(-23). Solve -z*n = -118*n - 6 for n. 1 Let n be -3*(0 + 20/15 + -2). Let o be 3*(-2)/(-12)*10. Suppose a - o*x = -10, -a = 4*x - 21 - 5. Solve 0 = -n*p - 4 + a for p. 3 Suppose 26*k - 20*k = 150. Solve 5*a = -0 + k for a. 5 Let w(z) = 4 + 3 - 6 + 4*z**2 - 3*z**2. Suppose 0 = 2*k + k. Let f be w(k). Solve -f + 3 = -u for u. -2 Let d = 340 - 331. Solve -7*u = 2 - d for u. 1 Suppose 0 = -4*v + 3*g - 3, 0 = -3*v + 2*g + 2 - 3. Suppose 0 = v*r + 4*a - 3*a - 55, 72 = 4*r + a. Solve 5*k + r = -3 for k. -4 Suppose -5*l - 25 = 0, -3*x + 6*l + 5 = 5*l. Solve 5*t + 9 + 11 = x for t. -4 Let l = 39 - 35. Let x be 1/l*0 + 3. Solve -20 = x*i + i for i. -5 Let y(n) = 7*n**2 - 3*n + 2. Let r be y(1). Solve -r*h - 9*h - 75 = 0 for h. -5 Let d = 1 + 0. Suppose 0 = 4*n - 4*k + 6 - 22, 2*n + 5*k - d = 0. Let b be (0 - -2)*(-42)/(-28). Solve 2*t + b + n = 0 for t. -3 Suppose 2*l + 8 - 37 = 3*k, -3*l = -2*k - 46. Solve l = -6*h - 2*h for h. -2 Let m(f) = -f**3 - 5*f**2 + 5*f - 13. Let n be ((-2)/4)/((-3)/(-36)). Let t be m(n). Let x be (-23)/t - (-6)/(-21). Solve x*k - 4*k - 2 = 0 for k. -2 Let z(r) = 2*r**3 - 3*r**2 - 5*r + 4. Let m be (4 + -3)*-3*-1. Let j be z(m). Let a be (j/12)/(1/9). Solve 2*o = a - 2 for o. 5 Let n = 34 + -34. Suppose 0 = -2*k - 2*t + 28, n*t + t = -5*k + 50. Solve -4*g - k = 3 for g. -3 Let b = 367 + -361. Solve -d = -b + 1 for d. 5 Let y = -130 + 136. Solve 0 = -12*d + 14*d + y for d. -3 Let u(l) be the third derivative of -l**6/120 - 2*l**5/15 - l**4/2 + 16*l**2. Let c be u(-6). Solve c = -0*o - 2*o - 4 for o. -2 Suppose -2*s = -0*v - 2*v, 5*v + s + 12 = 0. Let o be (-6)/(-4)*(-4)/v. Solve -6 = -o*z - 0 for z. 2 Let d(o) = -3*o - 19. Let n be d(-8). Suppose n*r = -4*k + 13, -k + 5*r = 2 + 1. Suppose 2*q + k*p - 20 = 0, 3*q + 2*p - 36 = -q. Solve 0 = l + l - q for l. 4 Suppose 2*q + 3*c + 45 - 210 = 0, -3*c + 15 = 0. Suppose -5*j + q = 60. Solve 0 = 8*a - j*a - 15 for a. 3 Let c(j) = -2*j**2 - 45*j - 30. Let u be c(-22). Let f be 1*2/u*(-10 - 2). Solve 3 = -2*t - f for t. -3 Let s be 2/2 - 0 - (-499 + 478). Solve -s = 5*c - 2 for c. -4 Suppose 58*i - 10*i + 43*i = 0. Let b be (1*-3)/(6/(-16)). Suppose -2*z + 3 = -z. Solve i = -b*l + z*l for l. 0 Let s = -49 + 57. Suppose w = -w + 6. Solve -u = w*u + s for u. -2 Let c(v) = -28*v + 328. Let z be c(11). Suppose 3*n + 6 = 5*n. Solve -n*l + z = l for l. 5 Let t(s) = -s**3 + 9*s**2 - 8*s + 4. Let b be t(8). Suppose -b*v + 19 = -1. Suppose -v*h = 3*j - 8, 2*h + 5*j + 4 = -2*h. Solve 0 = -5*c + 4*c - h for c. -4 Suppose -5*d + 17 = t - 3, 3*t - 21 = -2*d. Suppose -5*n + 32 = -4*v, 0 = n - 2*v + 5*v + t. Let z(m) = m + 15. Let j be z(-13). Solve -n*q + j = -3*q for q. 2 Let c = 28 + -73. Let w be (7/(-3) + 2)/(5/c). Solve -w*y + 4 = 1 for y. 1 Let s(h) = h**3 - 2*h**3 + 2*h - 50*h**2 + 18 + 41*h**2. Let q be s(-9). Solve 0 = -m + 5 - q for m. 5 Let t be (-10 + 5)*8/(-20). Let g be (t - (-8)/(-5))/((-11)/(-110)). Solve g*n - 1 + 5 = 0 for n. -1 Let u = 460 - 460. Solve -s + 24 - 27 = u for s. -3 Suppose -661 + 656 = -t. Solve -8 = -n + t*n for n. -2 Let a be (-4)/(-4)*(-1196)/(-4). Let k be (-2)/(-5) + a/115. Solve 4 = k*y - 5*y for y. -2 Let u(t) = -t**2 + 6*t - 3. Let s = 11 - 24. Let d be u(s). Let w be (d/(-20))/(1/2). Solve 5 = -5*i + w for i. 4 Suppose -4*j = -5*u - 40, j = 4*u + 2 + 8. Solve -6*l + 14 = -j for l. 4 Let o be (36/16 - 3)*(3 + -11). Let y be (-3)/o*(-7 + -1). Solve -z - y + 0 = 0 for z. -4 Let g(f) = -2*f**3 + 17*f**2 - 21*f. Let m be g(7). Solve -251*k + 253*k + 10 = m for k. -5 Let p be 4/10 - 18/(-5). Let q be -2 - -10 - (2 - -1). Suppose 5*d - q*l = 1 + 19, -5*d - 16 = 4*l. Solve d = 3*n + n - p for n. 1 Suppose 36*i = 43*i - 63. Solve 3*l = -6 + i for l. 1 Let d be 0/(-1*(1 + 5 + -7)). Let g(p) = p + 4. Let j be g(-2). Suppose 4*m - j = 2*m + 2*k, 1 = -2*m + 3*k. Solve -m*z - 1 - 3 = d for z. -1 Let h(t) = t**3 - 5*t**2 - 5*t - 2. Let o be h(6). Let r(b) = b + 13. Let q be r(-11). Suppose 2*u = q*c - 12, -4 = -4*c + 2*u + 18. Solve c*w + o = w for w. -1 Suppose -3*l + 12 = l. Let j be (l - -1) + (-48)/3. Let i be (-2 + (-8)/(-12))*j. Solve i = 5*r - r for r. 4 Let m(f) = -f**3 + 4*f**2 - 3*f. Let o be m(3). Suppose -s + u = 6*u - 5, 5*u = o. Suppose -s*p = -q - 16, 3*q + 4 = p + 2*q. Solve 12 + p = -5*t for t. -3 Let j(u) = 5*u + 135. Let c be j(-27). Suppose 0 = -2*k - 2*f, 4*f + 4 = -3*k + 2. Solve c = -k*x + 7*x - 10 for x. 2 Let w(v) = v**3 - 12*v**2 - 45*v + 7. Let n be w(15). Solve m = 9 - n for m. 2 Let s = 11 + 2. Suppose -s*p = -8*p - 25. Suppose 4*z - 27 = -p*r, 0*r = -4*r + 4*z. Solve -r*n + 0*n = 6 for n. -2 Suppose -7*b + 10 = -5*b. Suppose 0 = 2*o + c - b, -4 + 2 = -2*o + 2*c. Suppose 4*w - 5*r = 42, 0*r + 12 = w - o*r. Solve -24 = -4*q - w for q. 4 Let d(a) = 9*a**2 + 13*a + 12. Let x be d(-1). Solve 8*p = 4*p + x for p. 2 Suppose -4*k = n - 16, 7*k - 8*k + 15 = 3*n. Let z(l) = l. Let m be z(2). Solve 4 + m = k*u for u. 2 Let n be (-10)/(-25) + (52/20 - 0). Solve -7*k = -8*k + n for k. 3 Su
{ "pile_set_name": "DM Mathematics" }
2*p**3 + 2*p**2 - 2*p Let y(p) = 10*p**2 - 7*p - 3. Let x(i) = -19*i**2 + 13*i + 7. Let j(z) = -6*x(z) - 11*y(z). Let u(c) = c**2 - 2. What is 4*j(a) - 18*u(a)? -2*a**2 - 4*a Let z(h) = -2*h + 3*h - 1 + 0*h - 2*h. Suppose 0 = -4*m + 2*i + 2*i + 24, m + i = -2. Suppose 0 = -a + 3*a - m. Let v(y) = 6*y + 7. Determine a*v(w) + 5*z(w). w + 2 Let t(x) = -4*x**2 + 7*x. Let c(b) = 7*b**2 - 14*b. Give 3*c(s) + 5*t(s). s**2 - 7*s Let j(k) = 5*k**3 - 2. Let d(h) = -6*h**3 + 2. Calculate -6*d(w) - 7*j(w). w**3 + 2 Let w(o) = 8*o**2. Let h(r) = -r**2 + r. Determine 2*h(t) + w(t). 6*t**2 + 2*t Let s(i) = i - 2. Let c be s(5). Let m(o) = -c*o + 3*o - 2*o**2 - 4*o. Let u(b) be the third derivative of b**4/24 - 7*b**2. Give m(j) + 4*u(j). -2*j**2 Let v(x) = -3*x - 1. Let k(q) = -15*q - 4. Calculate 2*k(m) - 11*v(m). 3*m + 3 Let z(c) = 3*c**2 + 7*c + 4. Let k(j) = 4*j**2 + 8*j + 5. Give -6*k(w) + 7*z(w). -3*w**2 + w - 2 Suppose -2*c - 2*g + 10 = 0, -1 = -c - 2*g + 3. Let x(j) = -j**2 - 1. Let q(y) = -8*y**2 + y - 7. Calculate c*x(t) - q(t). 2*t**2 - t + 1 Let w(z) = -40*z**3 + 3*z**2 - 3*z + 4. Let n(j) = -121*j**3 + 8*j**2 - 8*j + 11. Calculate -3*n(a) + 8*w(a). 43*a**3 - 1 Let m(i) = 11 - 6*i**3 - 2 + 3 - 7 - 5*i. Let g(c) = 5*c**3 + 4*c - 4. Calculate -5*g(z) - 4*m(z). -z**3 Let o(m) = 13*m. Suppose -2*l + 4 = 0, -5*a + 5*l - 30 = 25. Let x(p) = 3*p. Calculate a*x(s) + 2*o(s). -s Let j = -72 + 72. Let p(c) be the third derivative of j + 2*c**2 + 1/6*c**4 + 0*c + 1/3*c**3. Let x(v) = v. Give -p(z) + 5*x(z). z - 2 Let y(k) = k**2 - 3*k. Let p(q) = 3*q**2 + 0 - 4*q + 0 - 2*q**2. Let m = 3 + -7. Determine m*p(h) + 5*y(h). h**2 + h Let j(r) = -4*r**2 - 4*r + 7. Let w(y) = -y**2 - y + 1. Suppose -8 + 0 = -4*a - 4*b, 5*a + 3*b - 2 = 0. Let h be (-6)/4 - a/4. Calculate h*j(x) + 6*w(x). -2*x**2 - 2*x - 1 Let l(r) = 3*r**3 - 2*r**2 + 2. Suppose 2*v = 3*f - 13, 13 + 11 = -4*v + 4*f. Let t(q) = -5*q**3 + 5*q**2 - 5. Calculate v*l(c) - 2*t(c). -5*c**3 Let a(s) = 6*s**2 + 4*s + 3. Let v(w) = 5*w**2 + 3*w + 2. Suppose -3*q - 3*c + 2*c = -26, -2*q + 4*c + 22 = 0. Suppose -q - 3 = 4*b. What is b*a(i) + 4*v(i)? 2*i**2 - 1 Let j(d) = -9*d - 9. Let f be 2/(-1) + -1 - -5. Let n = -1 - f. Let h(p) = -4*p - 4. Suppose 3*x = 3*i - 21, 0 = -5*i - 4*x - x + 35. Give i*h(q) + n*j(q). -q - 1 Let a(r) = -2*r - 3. Let l(p) = -3*p + 3. Let z(u) = -10*u + 10. Let d(t) = -7*l(t) + 2*z(t). Let b be d(-6). Let f(w) = 5*w + 7. Determine b*a(k) - 3*f(k). -k Let p(l) = l**2. Let d(y) be the first derivative of 2*y**3/3 + 16. Determine -2*d(n) + 3*p(n). -n**2 Let t(g) = -g**2 - g + 1. Let c(n) = 3*n**2 + 7*n - 7. Give -4*c(y) - 28*t(y). 16*y**2 Let k(j) = -j**2 + 4*j + 1. Suppose 5*x - 20 = 2*y, 6 + 6 = 3*x - 4*y. Let q be k(x). Let s(u) = 2*u - 3. Let n(b) = 1. Calculate q*s(d) + 4*n(d). 2*d + 1 Suppose l = -0*l. Let g be -1 + l/(-4 + 2). Let d(f) = -f. Let y(c) = -c - 2. Let a(i) = -6*i - 15. Let w(o) = -4*a(o) + 30*y(o). Determine g*w(q) + 5*d(q). q Let t(u) = -2163*u**2 + 189*u. Let s(p) = -23*p**2 + 2*p. Give -189*s(j) + 2*t(j). 21*j**2 Let i(q) = 3*q. Let b(a) = a + 1. Let m(y) = -4*b(y) + 2*i(y). Let j(n) = n - 2. Determine -5*j(h) + 3*m(h). h - 2 Let d(s) = 4*s + 5. Let w(q) = 3*q + 4. Suppose -2*h + 28 = -5*o, -5 + 1 = -4*h - 3*o. Let m = h + 2. Give m*w(g) - 5*d(g). -2*g - 1 Let r(t) = -9*t + 7. Let d(v) = -8*v + 6. Calculate -6*d(g) + 5*r(g). 3*g - 1 Let r(s) = -1. Let i(b) = -4*b. Let n(q) = 13*q - 1. Let m(l) = 7*i(l) + 2*n(l). What is -m(a) + 4*r(a)? 2*a - 2 Let d(h) = -h**3 - h**2 - h - 1. Let a(z) = 2*z**3 + 6*z**2 + 4*z + 2. Suppose 4*s - 6*v = -2*v + 24, -5*v = 4*s - 6. Give s*d(w) + a(w). -2*w**3 + 2*w**2 - 2 Let p(s) = -s**3 - 4*s**2 - 3*s - 1. Let i(g) = -g**3 - 5*g**2 - 4*g - 1. Let x(h) = -h**2 + 6*h - 4. Let w be x(2). What is w*i(d) - 5*p(d)? d**3 - d + 1 Let g(t) = 2*t**2 - 20*t - 1. Let z(k) = 2*k**2 - 21*k - 1. Determine 5*g(d) - 4*z(d). 2*d**2 - 16*d - 1 Let s(k) = -k**3 + 57*k**2 - 115*k**2 - 1 + 59*k**2. Let r(x) = -4*x**3 + 3*x**2 - 3. Determine -2*r(v) + 6*s(v). 2*v**3 Let y(p) = -7*p**2 + 4*p + 1. Let f(k) = 7*k**2 - 5*k. What is -5*f(b) - 6*y(b)? 7*b**2 + b - 6 Let o(l) = 7*l. Let y(g) be the first derivative of -2*g**2 + 18. Suppose -3*v = -3*u - 21, 5*u - 4*v = -21 - 12. Determine u*y(a) - 3*o(a). -a Let i(q) = 7*q**2 - 7*q. Let w(y) = 35*y**2 - 34*y. Let l(n) = -33*i(n) + 6*w(n). Let d(u) = -3*u**2 + 4*u. Give -27*d(k) + 4*l(k). -3*k**2 Let u(i) = 120*i - 5. Let h(d) = 1140*d - 48. Give 5*h(b) - 48*u(b). -60*b Let d = 29 - 21. Let s = d + -14. Let a(i) = 9*i + 17. Let h(j) = 2*j + 1. Let l(m) = -12*m - 7. Let p(g) = -34*h(g) - 6*l(g). Determine s*a(n) + 13*p(n). -2*n + 2 Let u(l) = l**3 + 1. Let j(w) = 11*w**3 + 6. Determine -j(c) + 4*u(c). -7*c**3 - 2 Let g(r) be the third derivative of r**4/24 + r**2. Let w(b) = -2*b - 1. Suppose -6*x + x - 5 = 0. Give x*w(o) - 3*g(o). -o + 1 Let q(z) = 2*z + 2. Let a(h) = h + 2. Let b(s) = -1. Let l(c) = -2*a(c) - 3*b(c). What is 4*l(y) + 3*q(y)? -2*y + 2 Let b(z) = -5*z**2 - 8*z + 26. Let f = -57 - -52. Let v(h) = 3*h**2 + 5*h - 17. Determine f*b(s) - 8*v(s). s**2 + 6 Let l(t) = 21*t + 2. Let i(k) = 2*k. Let p(x) = -18*i(x) + 2*l(x). Let v(h) = -6*h - 3. Calculate 3*p(n) + 4*v(n). -6*n Let j(u) = -4*u**3 - 3*u + 15. Let p(w) = 2*w**3 + 2*w - 7. Give -4*j(x) - 7*p(x). 2*x**3 - 2*x - 11 Let u(i) be the third derivative of i**3/6 + 4*i**2. Let v(k) = -k**2 + 2*k - 7. Determine 5*u(m) + v(m). -m**2 + 2*m - 2 Let s(h) = h**2 + h + 3. Let o(g) be the third derivative of -g**6/720 + g**5/120 + g**4/12 - g**2. Let b(z) be the second derivative of o(z). Give b(w) - s(w). -w**2 - 2*w - 2 Let o(x) = 2*x**3 - 6*x - 6. Let n(f) = f**2 + 9*f + 11. Let b be n(-8). Let k be -1*(b - 6/(-3)). Let y(a) = 2*a**3 - 5*a - 5. Give k*o(z) + 6*y(z). 2*z**3 Let l(d) = -14*d**3 - 6*d**2 + 11. Let c(m) = -5*m**3 - 2*m**2 + 4. Determine -8*c(u) + 3*l(u). -2*u**3 - 2*u**2 + 1 Let i(t) be the second derivative of -t**3/6 - t**2 + 3*t. Let x(o) = -1. Let c(u) = 2. Let s(n) = -3*c(n) - 5*x(n). Determine i(g) - 4*s(g). -g + 2 Let u = 50 - 51. Let d(r) = -2*r**2 - 2*r + 1. Let y(q) = -q**2. Give u*d(j) + y(j). j**2 + 2*j - 1 Let d(y) = y**2 + 5. Let o(q) be the second derivative of -q**2/2 - 3*q. What is -d(h) - 5*o(h)? -h**2 Let r(y) = -y + 1. Suppose -o - 3*o - 4 = 0. Let q(x) = -3*x + 2. Let c be (-2)/12 - (-50)/12. Give c*r(m) + o*q(m). -m + 2 Let h(p) = -3*p**3 - 2*p. Let x(s) be the third derivative of -s**6/24 - s**4/8 + s**2. Suppose 5*d + 42 = 2. Determine d*h(k) + 5*x(k). -k**3 + k Let w(x) = 4*x**3 - 9*x**2 - 9*x - 9. Let h(g) = 7*g - 4 - 5*g + 5 + 1 + 2*g**2 - g**3. What is -18*h(f) - 4*w(f)? 2*f**3 Let r(u) = u**2 - u. Let i(d) = 24*d**2 - 20*d. What is -2*i(q) + 40*r(q)? -8*q**2 Let k(y) = 2*y + 1. Let j(q) = q**3 - 12*q**2 + 10*q + 4. Let z be j(11). Let w(m) = 2*m + 1. Determine z*w(v) + 6*k(v). -2*v - 1 Let g = -177 + 181. Let l(w) = -69*w + 27. Let m(v) = 10*v - 4. Calculate g*l(c) + 27*m(c). -6*c Let z(v) = -2*v + 5. Let o be 1 + (10/5 - 11). Let w(u) be the second derivative of -u**3/2 + 4*u**2 - u. What is o*z(m) + 5*w(m)? m Let c(q) = -q**2 + q - 1. Let x(b) = -b**3 + 10*b**2 - 9*b + 8. Give 24*c(p) + 3*x(p). -3*p**3 + 6*p**2 - 3*p Let s(n) = 8*n + 9. Let d(v) = -2*v - 1. Let z(a) = a. Let m(h) = d(h) + z(h). Determine 36*m(p) + 4*s(p). -4*p Let w(b) = 28*b**3 + 4*b**2 + 4*b + 5. Let u(s) = s**3 + s**2 + s + 1. Give 4*u(h) - w(h). -24*h**3 - 1 Let g(m) = -m**3 + 2*m**2 + 4*m - 2. Let j(q) = -7*q**3 + 13*q**2 + 25*q - 13. Calculate 39*g(s) - 6*j(s). 3*s**3 + 6*s Let g(h) = h**2 - 2*h - 9. Let a(j) = 1. Let m(b) = -3*a(b) - g(b). Let k(t) = -1. Calculate -6*k(x) - m(x). x**2 - 2*x Let m(p) = p**2 - p. Let j(l) be the first derivative of -4*l**3/3 + 5*l**2/2 + 14. Calculate -j(i) - 5*m(i). -i**2 Let j(z) = -8 + 8*z**3 + 8*z + 3 - 5*z**2 - z**2. Let p(g) = 23*g**3 - 17*g**2 + 23*g - 14. Determine -17*j(a) + 6*p(a). 2*a**3 + 2*a + 1 Let a(d) = d**2 - d - 1. Let h(b) = 6*b**2 - 6*b - 5. Let n(t) = 5*a(t) - h(t). Let i(k) = -1. Determine i(z) - n(z). z**2 - z - 1 Suppose -4*s + 0*s + 13 = -5*p, s - 3*p - 12 = 0. Let o(u) = 1 - 5*u + 2*u + 2 + 2*u**2. Let d(q) = -q**2 + q - 1. Calculate s*d(h) - o(h). h**2 Let h(x) = -7*x**3 - 2*x + 2.
{ "pile_set_name": "DM Mathematics" }
of sequence bra when three letters picked without replacement from {b: 2, a: 9, s: 1, r: 3, m: 4}? 3/323 Calculate prob of sequence zc when two letters picked without replacement from czo. 1/6 Calculate prob of sequence ul when two letters picked without replacement from {l: 6, u: 4, b: 5}. 4/35 Three letters picked without replacement from xxwxwwwxwx. Give prob of sequence xww. 5/36 What is prob of sequence cc when two letters picked without replacement from {c: 12, m: 4, s: 2, d: 2}? 33/95 Three letters picked without replacement from ggfgnfnn. Give prob of sequence nnf. 1/28 Two letters picked without replacement from heccehcchcch. Give prob of sequence eh. 2/33 Calculate prob of sequence vvtt when four letters picked without replacement from ttvvjtt. 1/35 What is prob of sequence hvv when three letters picked without replacement from vhhxvlh? 1/35 What is prob of sequence ee when two letters picked without replacement from {e: 5, y: 13}? 10/153 Calculate prob of sequence dd when two letters picked without replacement from rrkrdkkrkrkdd. 1/26 Four letters picked without replacement from tvevvvetevevv. Give prob of sequence eeev. 7/715 Calculate prob of sequence kjy when three letters picked without replacement from {y: 1, k: 1, j: 1}. 1/6 Calculate prob of sequence wgg when three letters picked without replacement from gxwtzgxzttztzzgtgglt. 1/342 Two letters picked without replacement from qwwvwwwwwvwwvww. Give prob of sequence wv. 11/70 What is prob of sequence sff when three letters picked without replacement from {q: 1, s: 1, f: 3}? 1/10 Three letters picked without replacement from rarrjarrrrrrmrrrf. Give prob of sequence jrr. 11/340 Four letters picked without replacement from eeelleevevvlelell. What is prob of sequence vevv? 1/1190 Calculate prob of sequence rxx when three letters picked without replacement from {w: 1, r: 4, x: 2, v: 1, f: 1}. 1/63 Four letters picked without replacement from {z: 11, c: 5}. Give prob of sequence zczc. 55/1092 Calculate prob of sequence gbg when three letters picked without replacement from {b: 4, n: 6, g: 4}. 2/91 Calculate prob of sequence dddd when four letters picked without replacement from dcdcccdcdcc. 1/330 Two letters picked without replacement from {i: 3, r: 9}. Give prob of sequence rr. 6/11 What is prob of sequence he when two letters picked without replacement from {u: 2, e: 9, h: 2}? 3/26 Four letters picked without replacement from {e: 2, c: 8, g: 2, r: 5}. What is prob of sequence eger? 1/2856 Calculate prob of sequence xxdu when four letters picked without replacement from duduuxxxxxuxuduxux. 49/3060 Three letters picked without replacement from {r: 1, v: 3, h: 2, l: 4, j: 1, q: 1}. Give prob of sequence hjq. 1/660 Two letters picked without replacement from kkkkfgkkkkkffgkf. Give prob of sequence ff. 1/20 What is prob of sequence me when two letters picked without replacement from meemmemtm? 5/24 Three letters picked without replacement from {m: 2, h: 1, d: 6, o: 2, p: 4}. What is prob of sequence mod? 4/455 Calculate prob of sequence occ when three letters picked without replacement from ococcoocco. 5/36 What is prob of sequence jx when two letters picked without replacement from {r: 2, l: 1, b: 1, j: 1, x: 2, h: 1}? 1/28 What is prob of sequence rp when two letters picked without replacement from rpxp? 1/6 What is prob of sequence gqq when three letters picked without replacement from {y: 5, t: 7, g: 4, q: 3}? 4/969 Two letters picked without replacement from ccccccvciccicci. Give prob of sequence iv. 1/70 Calculate prob of sequence gr when two letters picked without replacement from {r: 1, g: 4, y: 6}. 2/55 Calculate prob of sequence xx when two letters picked without replacement from {e: 9, x: 7}. 7/40 Calculate prob of sequence babb when four letters picked without replacement from bbaaaaaabb. 1/35 Three letters picked without replacement from {l: 5, o: 15}. What is prob of sequence oll? 5/114 Two letters picked without replacement from {u: 2, e: 4, r: 7, j: 1}. What is prob of sequence ju? 1/91 Calculate prob of sequence rdr when three letters picked without replacement from nrrindnooon. 1/495 What is prob of sequence ik when two letters picked without replacement from {v: 5, k: 7, i: 2}? 1/13 Three letters picked without replacement from {s: 2, h: 3, q: 3, v: 4, z: 6}. Give prob of sequence qzz. 5/272 Calculate prob of sequence vvv when three letters picked without replacement from vssdsssssvssvsss. 1/560 Calculate prob of sequence xy when two letters picked without replacement from ygggxggxmgggyg. 2/91 Four letters picked without replacement from {w: 3, p: 1, k: 1, i: 1, n: 2, m: 3}. What is prob of sequence wpmn? 1/440 Two letters picked without replacement from {m: 11, k: 2}. What is prob of sequence km? 11/78 Three letters picked without replacement from hhphqqhpq. What is prob of sequence qqq? 1/84 Two letters picked without replacement from {x: 1, b: 2, z: 2, w: 1, r: 3, i: 3}. What is prob of sequence wx? 1/132 Two letters picked without replacement from {c: 19, i: 1}. What is prob of sequence ic? 1/20 Three letters picked without replacement from xxwwxwwpxxsxapgax. Give prob of sequence wsw. 1/340 What is prob of sequence uk when two letters picked without replacement from {o: 5, u: 8, k: 1, y: 2, t: 3, i: 1}? 2/95 What is prob of sequence bq when two letters picked without replacement from rnjqb? 1/20 Calculate prob of sequence dg when two letters picked without replacement from rvgrdv. 1/30 Calculate prob of sequence lcl when three letters picked without replacement from {m: 2, y: 2, l: 2, c: 4}. 1/90 Three letters picked without replacement from tftttttftzzzttftfztt. Give prob of sequence zft. 8/285 Three letters picked without replacement from xmxyxmiixxyxxyyx. What is prob of sequence yxi? 2/105 Two letters picked without replacement from qqrwwwqqqrworqwwrr. Give prob of sequence rw. 5/51 Two letters picked without replacement from jggxxagxgxaaagggggg. Give prob of sequence jx. 2/171 Two letters picked without replacement from nxnbnbxxxxxbxxnxxbb. Give prob of sequence bn. 10/171 What is prob of sequence svs when three letters picked without replacement from {v: 2, s: 1, j: 1}? 0 Two letters picked without replacement from hyhhhyyhhyhyhyyyhyh. What is prob of sequence hy? 5/19 Two letters picked without replacement from {u: 1, c: 4, k: 6, q: 4, d: 1}. Give prob of sequence ck. 1/10 Calculate prob of sequence ttt when three letters picked without replacement from {t: 4}. 1 Two letters picked without replacement from {t: 2, f: 2}. What is prob of sequence tf? 1/3 What is prob of sequence xnyx when four letters picked without replacement from {n: 3, g: 1, y: 2, x: 2, u: 9}? 1/4760 What is prob of sequence rh when two letters picked without replacement from {z: 1, r: 3, f: 3, v: 4, w: 6, h: 2}? 1/57 Calculate prob of sequence tdxt when four letters picked without replacement from dxtxttdxt. 1/42 Calculate prob of sequence czb when three letters picked without replacement from zcbzzjbabzzb. 1/66 What is prob of sequence fo when two letters picked without replacement from qonnfobnonn? 3/110 What is prob of sequence ib when two letters picked without replacement from dibdbdidbdddbdgg? 1/30 Three letters picked without replacement from oooyoroyr. What is prob of sequence oyr? 5/126 What is prob of sequence lm when two letters picked without replacement from lpaplpmipipillpp? 1/60 Three letters picked without replacement from ebfbbffbefeebf. What is prob of sequence ffb? 25/546 What is prob of sequence iiv when three letters picked without replacement from {i: 2, x: 1, v: 7}? 7/360 Four letters picked without replacement from {f: 1, a: 1, h: 6, p: 1, r: 3, i: 6}. What is prob of sequence hirr? 1/340 What is prob of sequence fcr when three letters picked without replacement from fruurccrfffruffcuf? 7/408 Calculate prob of sequence ccc when three letters picked without replacement from cwcccccwccccwc. 165/364 What is prob of sequence xxx when three letters picked without replacement from {q: 1, x: 3}? 1/4 Two letters picked without replacement from iii. Give prob of sequence ii. 1 Three letters picked without replacement from {d: 10, f: 4}. Give prob of sequence dfd. 15/
{ "pile_set_name": "DM Mathematics" }
34*m - 38*m = -40. Let y(h) = 3*h**3 - 9*h**2 + 24*h - 23. Is y(m) prime? False Suppose -121*a + 118*a - 4089 = 0. Let h = a - -2768. Is h prime? False Suppose -12 = a - 5*b, 2*b - 2 = -2*a - 14. Is 4558 + a + -2*4/(-4) a prime number? False Let i = 445 + -443. Suppose -2*q + i*r + 14208 = -0*r, r - 7102 = -q. Is q composite? False Let h be ((-50)/5 + 5)*-13649. Suppose 42*k - h = 37*k. Is k a prime number? True Suppose 6848612 = 47*n + 1306795. Is n a prime number? True Let m(j) = 9842*j**2 - 1652*j - 8237. Is m(-5) composite? False Suppose 6*p = 1 + 11. Suppose 49723 = p*r + 689. Is r composite? False Suppose 5*i - 13 = -4*u + 22, -2*i = -u - 14. Let g(r) = -12 + 46*r - 4 + 113*r. Is g(i) a prime number? True Let g(s) = -118*s - 57. Suppose -152*n = -149*n - 321. Let a = n - 114. Is g(a) a prime number? True Suppose -8598885 = -19652*z + 19637*z. Is z composite? True Let h = 40 - 41. Let s be h*(-3)/(-3) + 4. Suppose 70 + 531 = 5*b + s*v, -v = -2. Is b prime? False Suppose -26*c + 12*c = -211694. Let p = -8390 + c. Is p prime? False Let k(o) = 5*o**2 - 101*o - 21. Let j be k(-25). Suppose -j - 6921 = -10*f. Is f composite? True Suppose -4*k - 3*x + 9 = 0, -5*x + x = -12. Suppose 2*d - 147 - 55 = 2*m, k = -4*d + 5*m + 403. Is 55114/d - 2*2/(-6) composite? False Suppose -2*q - 5*x - 169 = -4*x, -x = 5. Let u = q - -197. Is u prime? False Suppose 4*u = -1 - 7, k + 2*u = -1. Suppose -o = -t + k*t - 1717, -4*o + t + 6832 = 0. Is o composite? False Suppose 3*j - j + 5*x = 62, -3*j = -3*x - 51. Let l be 1*((-9)/(-21) - (-12)/j). Is -3 + 1072/(3 + l) a composite number? True Let n = 4240 + -4244. Suppose 0 = -5*g + 12 - 37. Is g/(-4)*-8*14/n prime? False Let j(q) = -177*q - 282. Let o be j(-6). Suppose -o = 10*t - 77930. Is t a prime number? False Let i = -174306 - -255203. Is i a prime number? True Suppose -83*g + 16*g + 14468978 = -21*g. Is g composite? False Let q be -357*(2392/(-24) + -6). Suppose -332*a + q = -325*a. Is a a prime number? False Let k(p) = 5*p**3 - 3*p**2 - 6*p + 3. Let f(d) = -5*d**3 - 3 + 4 + d**2 + 14*d - 11*d. Let c be f(-1). Is k(c) composite? False Suppose -5*a + 10 = -32*x + 27*x, 16 = -4*x. Is ((-8)/(-192)*17432)/(a/(-6)) prime? True Is 49/((-49)/(-7)) + (-1725483 + 3)/(-2) composite? True Let a(i) = i**3 + 7*i**2 - 9*i - 11. Let h be a(-8). Let u be (-7)/7*15/h. Suppose -246 - 1039 = -u*o. Is o prime? True Suppose 2372 + 1156 = -6*b. Let r = b + 821. Is r a composite number? False Let i = 5750 + 944. Let d = i + 805. Is d prime? True Let a(v) = 9*v**3 - 3*v**2 - 22*v - 173. Is a(21) composite? True Suppose -431*j - 4*l + 742948 = -427*j, 2*l = -j + 185731. Is j a prime number? False Let t(d) = 3221*d**2 + 12*d. Let x(h) = 3220*h**2 + 10*h + 1. Let g(m) = -3*t(m) + 4*x(m). Is g(-1) composite? False Let r = 20 + -24. Let l be 0/(-2 - r - 0). Suppose b + 5*f - 201 = l, 4*f = -b + 2*b - 165. Is b a composite number? False Let t be 70/245 + 66/14. Suppose 5*a = -4*y + 50147, 5*y + t = 20. Is a a composite number? True Let m(q) = 10*q**2 + 4*q - 26. Let p(y) = 29*y**2 + 11*y - 77. Let u(l) = -8*m(l) + 3*p(l). Is u(6) a prime number? False Suppose 3*z - 2*w = 771399, -1440*w = z - 1441*w - 257131. Is z prime? False Let d be -35*3/12*8. Let x be ((-168)/d)/((-2)/(-5)). Suppose x*c - 2035 = c. Is c a composite number? True Let x(n) = 66*n**3 + 13*n**2 - 5*n + 26. Let t be x(9). Suppose -21*r = -25*r + t. Is r a composite number? True Let v be (-2)/(-5)*(-11165)/(-6 + 5). Let b = -1963 + v. Is b a composite number? False Let h = -70 + 70. Suppose 169 = -l + 4*c, -5*l + h*c = 3*c + 753. Is (-14348)/l + 2/9 a composite number? True Let n(z) = z**3 - 34*z**2 + 11*z - 87. Is n(36) prime? False Let j(i) = i**2 - i - 1. Let m be j(3). Suppose 4 = 4*n - 0, -2*y - m*n + 11 = 0. Suppose y*x - 3068 = -317. Is x a composite number? True Let c = -28 - -1059. Let x = -363 + c. Let s = -375 + x. Is s a prime number? True Is (-28)/98*(7 - (-678146)/(-4)) a composite number? False Let t be 1/(20/45) + (-2)/8. Suppose -c - 140 = -t*c - 2*q, -3*c - 2*q = -404. Suppose 3*j - 81 = c. Is j composite? False Let m = -79974 + 187973. Is m a composite number? False Let b = 142835 - 25932. Is b a prime number? True Let j = 137 - 125. Suppose 14*k + 2146 = j*k. Let p = -490 - k. Is p a prime number? False Let h be 34/6 - 5 - 13/(-3). Suppose -h*x + 2*s = 2456, -x + 354 = -4*s + 838. Let r = 1127 + x. Is r composite? True Let t be (-57)/6*2*-11. Let v = t - 119. Is v - (-4)/(8/2) a composite number? True Let b = 59938 + 343669. Is b a prime number? True Is (-74 + 79)*(2 - 112978/(-30))*3 a composite number? False Suppose -3*h = -5*m + 78430, -5*m - 5*h + 78455 = -3*h. Is m composite? True Let u(j) = -77*j**3 - 25*j**2 - 18*j - 401. Is u(-15) a composite number? False Let d be (-6)/(((-66)/(-348))/(-11)). Let k = 274 + d. Is k composite? True Suppose -2*n + 49714 = 4*u, -n + 2*u = -0*n - 24877. Suppose g = 3*c + 4*g - n, 3*c - 24835 = 5*g. Is c a prime number? False Let c(h) = -3*h + 6. Let n be c(1). Suppose -2*b + 2102 = -w, -2*b = -n*w - 822 - 1288. Is b prime? True Suppose 62*g = 3*a + 57*g - 50014, 2*a - g = 33345. Is a a composite number? False Let z be 7/28 + (-20997)/(-12) + 2. Let c = 3139 - z. Is c prime? False Let b(y) = 2432*y + 317. Is b(3) a composite number? True Let o(q) = 2*q**2 + 14*q - 4. Let z be o(-8). Let b be (-3)/z - 16245/(-20). Suppose 7*i - 21 - b = 0. Is i a prime number? False Let o = -871082 + 1916703. Is o a prime number? True Let r = 51 - 46. Suppose 5 = -3*g + r. Suppose 4*s + g*s - 169 = -o, 486 = 3*o + 5*s. Is o prime? True Suppose -3*b + 4*t + 3621 = 0, 3*t = 139*b - 138*b - 1202. Is b prime? False Let y = 27 - -3. Suppose y + 24 = 6*l. Is (-3)/l - (-224)/6 prime? True Suppose -2*s = 3*h + 2914, 3*s + 6 = -0*s. Suppose 0 = 5*k - 2*f - 5560 - 1251, k + 2*f = 1367. Let j = k - h. Is j a composite number? False Is -3 - ((-43847 - 4 - -1) + -3 + -3) prime? True Let w = 28911 - -101426. Is w prime? True Is (243989/2)/(((-110)/10)/(-22)) a prime number? True Let w be (86/(-43))/((-2)/(-9)). Is (-240261)/14*6/w prime? False Suppose 16*u - 11*u + 2*q = 26056041, -5*u + 2*q + 26056009 = 0. Is u a prime number? False Let z be (-4)/(-1) - (-32 - 21). Suppose 12*f + z = 21. Is -1*(f - 0) + (497 - -29) a composite number? True Let t = 36512 + 1930. Suppose 3*n = 3, 3*b + 3*n + 11760 - t = 0. Is b a composite number? False Is (9 - (22 + -12))*((-26580)/2 - 1) composite? False Let n be (-2)/(-4) + 20/8 - 7. Is (0 + n + 2)/(28/(-292418)) composite? False Suppose 160 = -5*w - 5*q, -4*w - 110 = -17*q + 12*q. Is (-820)/w*33/2 composite? True Suppose 2*k + 5*f - 1336232 = 491421, -1827647 = -2*k - 3*f. Is k composite? True Is (-8)/(-5) + -1 + (-9637956)/(-90) prime? True Is (3437868/42)/(-2 - (-8)/3) composite? True Suppose -2*q + 578 = -4*a, -5*a - 436 = -2*a - 2*q. Let m = 146 + a. Suppose 4*o + m = 0, -3*s + 3*o - o = -2735. Is s a prime number? True Suppose -5770528 = -40*n - 94*n + 1433714. Is n prime? False Suppose -4*q + 6054 = 2*t, -1486 = -q - 13*t + 18*t. Is q composite? False Suppose 0 = 188*c - 12264786 - 96511450. Is c composite? False Let m be (1595/87)/((-1)/(-6)). Suppose 19*k + m = 29*k. Is k composite? False Let x be 1*(0/(-1) - (-2 - -20)). Let w be x/99 - (-11002)/11. Suppose a + 179 = -i + w, -3*i = -a + 821. Is a composite? False Let q be (36/(-20))/(30/(-50)). Suppose q*y = 3767 - 674. Is y a prime number? True Suppose 4*o + 13282 - 68519 = -5*f, -4*o - f = -55233. Suppose 4*j + 20687 = 7*j + 5*q, 0 = -2*j + 5*q + o. Is j a composite number? False Let s be 1/1*(3 - 1). Suppose -4*d + 13 = 1. Suppose -288 = -3*y - s*q + q, d*y - q = 294. Is y a prime number? True Let p(v) = -2*v + 12. Let x be p(-4). Let o(l) = 11*l + 48. Let m be o(x). Let t = 459 - m. Is t composite? False Let o = -29 + 32. Suppose -4 = o*s - q, -4*q - 11 + 27 = s. Suppose s = -24*f + 25*f - 379. Is f composite? False Let o be ((-3)/2)/(18/(-768)). Is -4*8/o*-4358 composite? False Suppose -174 = -5*g - 164. Let b(i) = -i**2 + 21*i - 4*i**3 - 6*i**2 + g*i**2 + 8 + 3. Is b(-12) a composite number? True Let s be (-1 - (-1 + 2)/(-1))/(-2). Suppose 14*g - 12*g = 3*k + 813, -3*k = 9. Suppose 0 = 2*m - s*m - 4*r - g, -3*r = -3*m + 600. Is m a prime numbe
{ "pile_set_name": "DM Mathematics" }
. Which is the smallest value? (a) s (b) 7 (c) h c Let r be -1 - (-2 - (1 - 1)). Let n = 0.38803 - 0.08803. Which is the smallest value? (a) r (b) n (c) 0.6 b Suppose 2319 + 3581 = -50*n. Which is the second biggest value? (a) 3 (b) n (c) -3 (d) -0.3 d Let f = 964.5 - 966.5. Which is the biggest value? (a) -1/4 (b) -0.2 (c) f (d) 56 d Let w = -34.7 + 34.05. What is the fourth biggest value in -0.3, -0.2, w, -4/9? w Let n = 0.3311 + 0.1689. Let i = 43 - 43.5. Which is the biggest value? (a) i (b) 1/3 (c) -8 (d) n d Let d be (-1 - 0/(-3))*(1 - -2). Let j be (d - (3 - 6)) + 1/(-8). Let u = 0 + -0.1. What is the smallest value in u, 0.5, j? j Let r = 3.08 + -0.08. Let y = -585 + 1023. Let s = y + -436. What is the biggest value in -2, r, s, 0? r Let q be ((-30)/(-27) + -2)*(287/28 - 10). Which is the smallest value? (a) 1 (b) 2 (c) 0.17 (d) -2/13 (e) q e Let k = 2874 + -2874. What is the smallest value in -0.01, k, 2, 4, -7? -7 Let k = 1.5 - 1.5. Let j = 189.5 - 188.5. Which is the fourth smallest value? (a) -0.8 (b) 2 (c) j (d) k b Let f = 0.48 - 59.48. Let o = -63 - f. What is the second biggest value in -0.02, o, -0.5, 0.4? -0.02 Suppose 54*d - 81 + 369 = -90*d. What is the third biggest value in 218, 3/5, d, -4, 3? 3/5 Let s be (2052/(-20))/(-9) - -3. Let p = s - 218/15. Let f be (20/(-24))/((-2)/(-3)). Which is the biggest value? (a) 0 (b) p (c) f (d) -2/5 a Let p = -101 + 151. Suppose -118*m = -123*m + p. Let w = -3.94 - 0.06. What is the biggest value in 0.3, m, w? m Let t = -2.505 + 1177.505. Let w = -1176.046 + t. Let x = -0.046 - w. Which is the biggest value? (a) 2/5 (b) -1 (c) x c Let k = -404.0477 + 0.0477. Let v = 404.3 + k. Which is the biggest value? (a) v (b) 0.5 (c) 0.02 b Let a = 443.8 + -438.8. What is the second biggest value in -1/10, a, -4, -4/15? -1/10 Let u = -38018 + 342160/9. What is the third biggest value in 2, -0.015, 1.7, u? -0.015 Let i be 44/(-132)*(-18)/(-10). Which is the smallest value? (a) 4 (b) i (c) 2 (d) -12.2 d Let z be 31 + 132/(-4) - 379/380*-2. Which is the second smallest value? (a) 0.5 (b) -1/5 (c) z c Let l = 16.45 - 17.2. Let y = 0.81 + l. Which is the smallest value? (a) -0.1 (b) 0.2 (c) 0.1 (d) y a Let i be 6 - (-57 - -45)/(-4 - -1). Which is the smallest value? (a) i (b) 0 (c) 4 (d) -0.153 d Let q be 28 + -16 - (-1 + 27). Suppose -5*p - 17 = h, 0 = -p - 2*h + 2 - 9. Which is the biggest value? (a) 5 (b) p (c) q (d) 2 a Let i = -1.2336 - -1.3336. What is the biggest value in 0.4, 5, -37, i, -3? 5 Let y(h) be the first derivative of -h**3/3 - 9*h**2 - 61*h + 170. Let l be y(-13). Let k = 16 + -11. What is the second smallest value in l, -0.3, k, -1/8? -1/8 Let r = 3/25 - 37/100. Let p = -64.7 - -66.7. What is the second biggest value in -3, p, r, 3? p Let j = -0.01 - 2.69. Suppose 0 = -m - 0*m + 4*a - 15, -5 = 2*m - 3*a. Suppose -m*p - 18 = -q, 4*q + q - 5*p = 10. What is the second biggest value in 5, j, q? q Let m be (-8)/6*((-7695)/432 + 18). What is the second biggest value in -92, m, 0.1, -10? m Let n = 30002 + -30001. Let p = 28 - 20. Let w = p - 5. What is the fourth smallest value in 2, n, w, -5? w Let d = 2567/143 + -231/13. Suppose n - 5*a = -23, -2*a + 17 + 1 = 4*n. Let x be (n/(-4))/(1/10). What is the third smallest value in x, -2/5, d, -1? -2/5 Let j = -2.01645 - -0.01645. What is the second smallest value in j, -0.02, 1/6? -0.02 Let q = 16.504 - 19.504. What is the fourth biggest value in 29, -0.1, 3, q, -5? q Let k = -3.9 - -3.25. Let q = k + -9.35. Let l = 5.9 + -3.9. What is the second biggest value in l, 5, q? l Let x = 68/1651 - -243344/345059. Let m = -3/836 - x. Which is the second biggest value? (a) -12/71 (b) m (c) 5 a Let v = 5114 - 5113. What is the third smallest value in v, 86, -8/7? 86 Let h = -73 + 79. Let i = h - 6.03. What is the biggest value in i, -5, -2? i Suppose 33*g - 12*g = 84. Suppose -s + 2*y + 2 = -2*s, 31 = g*s - 5*y. Which is the fourth smallest value? (a) -0.32 (b) 0.3 (c) -4 (d) s d Let o = -231 - -230. Let f = -88 + 43. What is the biggest value in f, 1, o? 1 Suppose 0 + 8 = -2*l - 2*v, -l - 16 = 4*v. Suppose 0 = -22*p + 6*p + 4368. Let s = p + -268. Which is the second smallest value? (a) s (b) l (c) 0.3 (d) -4 b Let v = -1.8 + 2. Let i = -190.62 + 190.22. Which is the third biggest value? (a) i (b) -20 (c) v b Let y = -71/9 + 515/63. Let s = -62.5 + 61. What is the third biggest value in -0.5, y, s, -1/8? -0.5 Let k be (3/12)/(9 - (-16)/(-2)). What is the third smallest value in k, -5, 0.4, -3, 3? k Let g = -0.27136 - -0.47136. Which is the third biggest value? (a) 1/4 (b) g (c) 2/5 (d) -3/2 b Let d = 595/8 - 599/8. What is the second biggest value in 5/3, d, 1.1? 1.1 Let o = -1981 + 1615. Which is the second smallest value? (a) o (b) 4/7 (c) -1/7 c Let t be ((-2237)/5 - 3) + 12/30. Let j = t - -447. What is the second biggest value in 8/7, -2/13, 2, j? 8/7 Let p = 4.1521 + -3.7421. Which is the smallest value? (a) 7 (b) -2/11 (c) p b Let y = 3.7412 + -0.7412. What is the second smallest value in y, -8.2, 4, -2/17? -2/17 Let a = -8613/10760 + 1/2152. What is the third smallest value in a, 8, 4, -8? 4 Suppose 2*a - 17 = 4*x - 3*a, 5*x = 5*a - 15. Let w be 276/42 + -7 - 45/(-399). What is the third biggest value in 0, x, w? w Let s be -1*(27 - 28)*(1 - 0). Let n = 0.02 + -1.96. Let u = n - 0.06. Which is the fourth smallest value? (a) u (b) s (c) 5 (d) 16 d Let h = 2159/70 - 218/7. Let q = 2.065446 - 0.065446. Which is the second smallest value? (a) q (b) h (c) -3 (d) -1/4 b Let h = -18 + -113. Let o = h + 69. Which is the fourth smallest value? (a) 0 (b) 5 (c) o (d) -3/7 b Let w = 2011 + -2011.4. What is the second biggest value in -2/15, 5, w? -2/15 Let j be 16 + 188*8/(-96). What is the fifth smallest value in -4, -2, -7, j, 6? 6 Let p(z) = -3*z**2 + z - 2. Let j be p(1). Let w = 0.654 - 0.954. Which is the fourth smallest value? (a) w (b) -1 (c) j (d) 0.3 d Let b be 1*(-10 - -3) + 1. Let g = 512 + -508. What is the third smallest value in b, g, 1? g Let p be 5 + -8 + (23 - (-2)/(-1)). Let n be p/36*16/2. Suppose -n = -4*i, -4*x - 17 = -i - 4*i. Which is the second biggest value? (a) -7 (b) 0 (c) 1 (d) x b Let g = 6.87 - 7.87. What is the biggest value in -2/21, 74, g? 74 Suppose 60*m = 56*m - 12. Let j = 97.3 + -93. Let i = j - 4.5. Which is the second biggest value? (a) i (b) 0.05 (c) m a Let i = -92 + 98. Suppose -i*n + n = -3*n. Suppose 99*z - 104*z + 20 = n. Which is the third smallest value? (a) 0.3 (b) z (c) 1 b Let b = -35.16 + 36.16. What is the second smallest value in b, 49, 0.4, 4, 2/29? 0.4 Let w = 5 - 5. Let s = -0.5 - -0.3. Let j = -0.20239 - -0.40239. Which is the smallest value? (a) 4 (b) j (c) w (d) s d Let k = 185 - -6. Let q = 187 - k. Which is the third biggest value? (a) 0.6 (b) -5 (c) q b Let o = -1422.5 - -1422. Which is the third biggest value? (a) 0.0082 (b) o (c) -3/7 b Suppose 1092*s = 1091*s. Which is the biggest value? (a) -3 (b) -0.1 (c) -293 (d) s d Let s(n) = -2*n**2 + 28*n - 84. Let f be s(12). What is the second smallest value in 0, -5/4, f, 1? -5/4 Let q = -842 - -842.3. Let j be (2/(-4))/((-2)/6). What is the fourth smallest value in -2, q, j, -0.1? j Let f = 358.2 - 404. Let n = -4 + -42. Let l = n - f. Which is the fourth biggest value? (a) l (b) -0.4 (c) -2/19 (d) -0.3 b Suppose -4*t - 5*w = -2*w + 6, -2*t + 2*w + 4 = 0. Let a be -397 - -5 - (t - 0). Let o be (-2)/a*-2*4*1. What is the smallest value in 0.5, -2, o, 2/11? -2 Let a be (-21 + 44 - 17) + 1 + -12. What is the third biggest value in a, 1, -2, -10/31? -2 Suppose -5*n = -5*k, -4*k + k + 5 = -4*n. Let x = 18.5 + 19.1. Let m = 38 - x. Which is the third biggest value? (a) k (b) m (c) 19 a Let h = 122.9579 + -123. Let p = h - -0.1421. What is the second biggest value in p, -2, 0? 0 Let o be ((-9)/(-6) - 0) + 761/2. Suppose -1223 = 107*g + o. Let d = -10 + 7. What is the third biggest value in d, g, -0.3? g Let p = 5253 - 5253.08. Which is the second biggest value? (a) -2 (b) p (c) -47 (d) 2/13 b Let i = 17964 + -17963. What is the fourth biggest value in -1/4, -8, -23, i, 2? -8 Let h be 7/21 - (5 - 5). Let p = 4627613/55
{ "pile_set_name": "DM Mathematics" }
base 16) to base 6 103114 -101001000111 (base 2) to base 16 -a47 -4a7b (base 15) to base 9 -23678 Convert 11a (base 13) to base 10. 192 501 (base 11) to base 7 1524 -11374 (base 8) to base 11 -3719 What is 604 (base 9) in base 5? 3430 846 (base 10) to base 11 6aa Convert 10312 (base 4) to base 7. 622 Convert -158 (base 12) to base 14. -112 11000101 (base 3) to base 12 183a -12361 (base 8) to base 10 -5361 Convert -37b (base 16) to base 3. -1020000 Convert 1211012010 (base 3) to base 7. 206355 34150 (base 7) to base 14 3227 Convert -30420 (base 5) to base 11. -1545 1103 (base 15) to base 9 4843 Convert 5039 (base 10) to base 16. 13af What is -1102101 (base 4) in base 6? -40213 -14830 (base 14) to base 7 -301460 Convert -1000101110 (base 2) to base 14. -2bc -1001010000001 (base 2) to base 9 -6443 -14232 (base 5) to base 14 -612 Convert 1000110100100 (base 2) to base 9. 6167 Convert -2122010 (base 3) to base 14. -9b2 -1413 (base 6) to base 12 -269 1098 (base 16) to base 5 113443 191 (base 16) to base 3 112212 Convert -545 (base 9) to base 8. -676 What is -12412 (base 6) in base 9? -2518 What is -2222103 (base 4) in base 3? -112221200 Convert 1858 (base 16) to base 13. 2ab5 1014 (base 7) to base 10 354 What is 2010111 (base 3) in base 8? 3020 Convert 382 (base 14) to base 6. 3130 -3101324 (base 5) to base 11 -347aa Convert 30356 (base 9) to base 4. 10320021 What is 1121201 (base 3) in base 14? 604 What is 56167 (base 8) in base 12? 11847 -2121002 (base 4) to base 16 -2642 Convert -1100111001 (base 2) to base 8. -1471 What is -359 (base 11) in base 13? -26b -128 (base 16) to base 13 -19a 263c (base 13) to base 2 1010101010011 What is 201110 (base 3) in base 9? 643 -31030132 (base 4) to base 8 -151436 What is 1020343 (base 5) in base 11? 11830 What is -182 (base 15) in base 5? -2342 2147 (base 10) to base 6 13535 Convert 20818 (base 10) to base 6. 240214 What is 1729 (base 15) in base 11? 3826 What is -2884 (base 10) in base 3? -10221211 11037 (base 8) to base 5 122024 Convert 1e5 (base 16) to base 7. 1262 What is 831 (base 10) in base 11? 696 a86 (base 15) to base 11 1870 Convert 3d (base 15) to base 4. 322 Convert -4220 (base 7) to base 12. -a38 Convert -5326 (base 7) to base 8. -3532 Convert 175 (base 16) to base 10. 373 What is a64 (base 14) in base 11? 15a2 What is 201110201 (base 3) in base 16? 3772 What is -2020121 (base 3) in base 9? -2217 Convert -101431 (base 5) to base 3. -11121200 -240 (base 16) to base 11 -484 What is 21426 (base 7) in base 3? 21100120 Convert 3257 (base 8) to base 15. 791 1aa77 (base 11) to base 10 29245 -1074 (base 8) to base 12 -3b8 What is 11740 (base 10) in base 15? 372a -12220020 (base 3) to base 13 -1c59 Convert -525 (base 7) to base 9. -323 What is -12103220 (base 4) in base 14? -95b2 -211210020 (base 3) to base 2 -100000011100011 Convert b82 (base 13) to base 16. 7ad Convert -57c3 (base 13) to base 9. -17816 What is 5823 (base 12) in base 15? 2d99 -29 (base 10) to base 7 -41 1111 (base 5) to base 9 183 Convert -1171 (base 9) to base 11. -725 What is 3377 (base 8) in base 5? 24131 Convert 1011111011101 (base 2) to base 10. 6109 1c (base 14) to base 10 26 -600 (base 14) to base 8 -2230 Convert -10110001 (base 2) to base 15. -bc What is -30232 (base 5) in base 13? -b65 Convert -30816 (base 10) to base 13. -11046 What is 132202 (base 4) in base 5? 30304 What is 23663 (base 9) in base 7? 64134 Convert 14623 (base 9) to base 10. 9984 What is -1894 (base 14) in base 2? -1000101011010 What is -72 (base 11) in base 7? -142 What is -213130 (base 4) in base 2? -100111011100 What is 11100011110 (base 2) in base 5? 24242 1000001110 (base 2) to base 5 4101 What is f197 (base 16) in base 12? 2b95b What is -554 (base 9) in base 7? -1216 What is -1547 (base 10) in base 13? -920 91 (base 10) to base 5 331 13162 (base 8) to base 15 1a81 -46135 (base 8) to base 9 -28731 What is 1222000 (base 3) in base 16? 597 What is -105a2 (base 11) in base 9? -23054 2341 (base 10) to base 15 a61 -e62 (base 16) to base 3 -12001101 -4404 (base 7) to base 12 -ab0 Convert 11100100110100 (base 2) to base 15. 4514 Convert -32533 (base 10) to base 13. -11a67 What is 11213 (base 5) in base 4? 30220 What is 1aaa (base 16) in base 13? 3151 Convert 8a0 (base 14) to base 9. 2307 52060 (base 7) to base 12 7451 Convert -2362 (base 10) to base 11. -1858 What is 58d (base 16) in base 9? 1848 What is -168a (base 16) in base 13? -281b Convert -c (base 16) to base 2. -1100 What is 11341 (base 5) in base 2? 1101001110 What is -13a80 (base 11) in base 15? -5d8c What is -40b (base 14) in base 2? -1100011011 What is -196b (base 12) in base 11? -2375 What is -124244 (base 5) in base 13? -2339 Convert 57370 (base 9) to base 6. 452530 What is -4616 (base 8) in base 6? -15154 688 (base 16) to base 15 767 Convert -23b7 (base 12) to base 7. -14512 What is -88 (base 12) in base 8? -150 What is 6634 (base 8) in base 14? 13ac What is 800 (base 9) in base 5? 10043 Convert 14676 (base 8) to base 9. 10032 Convert 2332 (base 6) to base 2. 1000110000 -155654 (base 7) to base 15 -9225 52a (base 12) to base 6 3254 What is -2465 (base 8) in base 13? -7b7 -3425 (base 14) to base 4 -2031121 Convert 11bb (base 13) to base 12. 1560 Convert 1245 (base 7) to base 2. 111011010 What is 20001201 (base 3) in base 12? 2684 Convert -1101000111101110 (base 2) to base 14. -1582a -5534 (base 6) to base 13 -778 305 (base 14) to base 11 49a What is -45410 (base 6) in base 11? -4901 Convert 2111201102 (base 3) to base 2. 1100000011010111 What is -12103 (base 4) in base 7? -1114 -321310 (base 4) to base 2 -111001110100 -c170 (base 14) to base 5 -2030342 -2104 (base 6) to base 12 -334 -1651 (base 7) to base 15 -2ed Convert -26440 (base 9) to base 10. -17856 3035 (base 9) to base 12 134b -2023 (base 5) to base 12 -19b What is -1010001011 (base 2) in base 7? -1620 Convert 111201 (base 4) to base 2. 10101100001 -30523 (base 7) to base 6 -54321 What is 1225 (base 10) in base 11? a14 839 (base 11) to base 13 5c9 What is 1200010 (base 3) in base 7? 3360 Convert 11222213 (base 4) to base 15. 6d22 -120100 (base 4) to base 9 -2114 11103 (base 5) to base 12 54a 100311 (base 4) to base 3 1110220 What is c72 (base 14) in base 3? 10100211 What is -c14 (base 16) in base 10? -3092 What is -348 (base 16) in base 3? -1011010 What is -142cc (base 15) in base 16? -fcff 141311 (base 8) to base 10 49865 What is -1010110101 (base 2) in base 10? -693 224515 (base 6) to base 5 1103244 22406 (base 11) to base 6 410054 889 (base 12) to base 16 4e9 Convert 137 (base 9) to base 6. 311 What is 1210 (base 4) in base 7? 202 61541 (base 7) to base 6 153315 What is 2011122 (base 3) in base 16? 62f 1338 (base 9) to base 14 51d 155302 (base 6) to base 2 11110001010110 Convert -95 (base 13) to base 6. -322 Convert -1c0b (base 13) to base 15. -13c6 Convert -7139 (base 12) to base 11. -9259 Convert 100111101 (base 2) to base 12. 225 What is 4b7 (base 12) in base 2? 1011001011 Convert -1313023 (base 4) to base 16. -1dcb Convert -1101111101 (base 2) to base 11. -742 Convert -31203131 (base 4) to base 5. -3234032 -3103 (base 7) to base 2 -10000111001 -23550 (base 7) to base 11 -4656 75270 (base 8) to base 13 113b8 27611 (base 10) to base 5 1340421 Convert 962 (base 13) to base 5. 22401 Convert 220202 (base 3) to base 16. 29c -2121211201 (base 3) to base 11 -35889 -3200 (base 8) to base 11 -1283 What is 20100020 (base 3) in base 16? 120f Convert -221012011 (base 3) to base 7. -104353 Convert 110000100 (base 2) to base 5. 3023 -861 (base 12) to base 7 -3400 What is -111220021 (base 3) in base 7? -41353 What is -311 (base 10) in base 15? -15b -23220 (base 4) to base 15 -349 -49 (base 15) to base 3 -2120 What is 221122 (base 3) in base 16? 2b4 What is 1070 (base 9) in base 6? 3400 -546 (base 10) to base 6 -2310 What is a1a (base 15) in base 16? 8e3 23132 (base 4) to base 8 1336 What is 1100000110001 (base 2) in base 4? 1200301 What is 10111212 (base 3) in base 6? 15505 -31 (base 6) to base 4 -103 What is 299 (base 10) in base 12? 20b Convert -1010110001111011 (base 2) to base 15. -d13a Convert -1000000000101000 (base 2) to base 14. -bd56 What is -6b80 (base 14) in base 5? -1044412 -36 (base 9) to base 13 -27 Convert 5041 (base 12) to base 7.
{ "pile_set_name": "DM Mathematics" }
of 1464 and 21? 10248 Calculate the common denominator of 89/216 and -47/150. 5400 What is the lowest common multiple of 230 and 230? 230 What is the lowest common multiple of 21 and 588? 588 Find the common denominator of -31/336 and 44/147. 2352 What is the common denominator of -31/8 and 107/266? 1064 Find the common denominator of 75/1216 and 1/3040. 6080 What is the common denominator of 115/448 and 113/18? 4032 Calculate the common denominator of 44 and 91/814. 814 Calculate the lowest common multiple of 18 and 15. 90 Find the common denominator of -59/34 and 91/474. 8058 What is the lowest common multiple of 18 and 11? 198 Calculate the smallest common multiple of 2 and 98. 98 What is the common denominator of -43/106 and 93/2? 106 What is the smallest common multiple of 152 and 1596? 3192 Find the common denominator of 87/8 and -115/498. 1992 Find the common denominator of 91/1146 and -113/150. 28650 Calculate the common denominator of -13/45 and -143/666. 3330 Find the common denominator of -28/11 and 66/4795. 52745 Calculate the common denominator of 133/6 and -37/175. 1050 Calculate the common denominator of 70/1377 and -59/6. 2754 Find the common denominator of -61/2052 and -5/8208. 8208 Find the common denominator of 73/4 and 50/927. 3708 Calculate the common denominator of 9/2 and 50/189. 378 What is the common denominator of 77/30 and 61/60? 60 Find the common denominator of -4/9 and 16/407. 3663 Calculate the common denominator of 16/2365 and -131/170. 80410 Calculate the least common multiple of 681 and 30. 6810 Calculate the common denominator of 35/3 and 14/1413. 1413 Find the common denominator of 48/205 and -57/5. 205 What is the common denominator of -45/976 and -55/18? 8784 Calculate the least common multiple of 49 and 567. 3969 What is the least common multiple of 228 and 1596? 1596 What is the common denominator of 109/1730 and -101/8? 6920 Calculate the lowest common multiple of 1080 and 180. 1080 Calculate the smallest common multiple of 81 and 432. 1296 Calculate the least common multiple of 42 and 297. 4158 What is the common denominator of -79/206 and -113/132? 13596 Calculate the smallest common multiple of 4 and 98. 196 Calculate the smallest common multiple of 42 and 714. 714 What is the least common multiple of 24 and 12? 24 Find the common denominator of 31 and 77/1532. 1532 Calculate the least common multiple of 18 and 94. 846 Calculate the least common multiple of 42 and 144. 1008 What is the smallest common multiple of 150 and 42? 1050 What is the common denominator of 9/40 and -97/212? 2120 What is the common denominator of 9/1771 and -51/539? 12397 Calculate the smallest common multiple of 399 and 77. 4389 Calculate the common denominator of 65/1923 and 37/641. 1923 What is the lowest common multiple of 11 and 729? 8019 What is the least common multiple of 4335 and 180? 52020 What is the smallest common multiple of 117 and 27? 351 What is the least common multiple of 63 and 9? 63 Calculate the common denominator of 119/2676 and 59/6. 2676 Calculate the least common multiple of 248 and 260. 16120 What is the smallest common multiple of 4512 and 144? 13536 What is the lowest common multiple of 22 and 7810? 7810 Calculate the common denominator of 75/5048 and 63/22. 55528 Find the common denominator of -67/65 and 61/50. 650 Find the common denominator of 41/2 and -83/780. 780 What is the least common multiple of 219 and 234? 17082 Calculate the least common multiple of 5 and 10. 10 Calculate the smallest common multiple of 16 and 42. 336 What is the least common multiple of 30 and 710? 2130 Calculate the common denominator of 59/460 and 49/10. 460 Calculate the common denominator of -58/63 and -32/105. 315 What is the common denominator of -101/70 and -113/20? 140 Calculate the common denominator of -31/30 and 13/1117. 33510 Calculate the common denominator of 30/91 and -51/130. 910 What is the least common multiple of 1302 and 13020? 13020 Calculate the common denominator of 23/77 and -25/1232. 1232 Calculate the lowest common multiple of 48964 and 4. 48964 Calculate the lowest common multiple of 465 and 9. 1395 What is the smallest common multiple of 10 and 704? 3520 Calculate the least common multiple of 445 and 445. 445 Calculate the least common multiple of 5 and 289. 1445 Calculate the common denominator of 61/495 and -47/605. 5445 What is the common denominator of 31/10 and 7/104954? 524770 What is the lowest common multiple of 470 and 329? 3290 What is the lowest common multiple of 50 and 104? 2600 What is the smallest common multiple of 43 and 1? 43 What is the least common multiple of 29 and 11? 319 Find the common denominator of 19/944 and 22/177. 2832 Calculate the common denominator of -59/3602 and 10/3. 10806 Calculate the common denominator of 107/70 and -41/35. 70 Find the common denominator of 47/2 and -52/207. 414 Calculate the common denominator of 32/189 and -38/21. 189 Find the common denominator of 149/18 and 38/2415. 14490 Calculate the common denominator of 89/315 and -61/6. 630 What is the common denominator of -133/180 and -77/60? 180 What is the common denominator of 13/20 and -47/150? 300 Calculate the lowest common multiple of 144 and 4. 144 What is the least common multiple of 12 and 16? 48 What is the smallest common multiple of 4 and 1906? 3812 Calculate the least common multiple of 64 and 24. 192 Calculate the common denominator of 13/22 and 12/23. 506 What is the common denominator of 115/1904 and 17/2? 1904 What is the least common multiple of 3 and 75? 75 Calculate the common denominator of -9/4 and -83/12640. 12640 Calculate the lowest common multiple of 60 and 105. 420 Calculate the lowest common multiple of 10 and 302. 1510 Find the common denominator of -187/120 and 49/24. 120 What is the lowest common multiple of 24 and 7? 168 What is the common denominator of -41/58 and 95/4? 116 Calculate the least common multiple of 366 and 4. 732 What is the lowest common multiple of 1100 and 1100? 1100 Calculate the common denominator of -89/4 and -35/19742. 39484 Calculate the common denominator of -31/330 and 91/20. 660 Calculate the smallest common multiple of 2 and 174. 174 Calculate the least common multiple of 3 and 11004. 11004 What is the lowest common multiple of 114 and 6? 114 What is the smallest common multiple of 748 and 3927? 15708 Calculate the least common multiple of 44 and 68. 748 Calculate the smallest common multiple of 1944 and 90. 9720 What is the lowest common multiple of 484 and 352? 3872 What is the common denominator of 47/360 and 58/585? 4680 What is the common denominator of -33/23432 and -57/22? 257752 Find the common denominator of -9/20 and -97/40. 40 Calculate the smallest common multiple of 25 and 25. 25 Find the common denominator of 121/684 and -85/92. 15732 What is the common denominator of -125/504 and -95/2304? 16128 Calculate the smallest common multiple of 56 and 256. 1792 Calculate the smallest common multiple of 33 and 1110. 12210 Calculate the common denominator of -29/896 and 19/768. 5376 Find the common denominator of 91/72 and 83/612. 1224 Find the common denominator of -5/12 and -37/660. 660 Calculate the smallest common multiple of 154 and 88. 616 Calculate the smallest common multiple of 165 and 165. 165 What is the common denominator of -19/692 and -28/2249? 8996 Calculate the common denominator of -22/303 and 139/42. 4242 Find the common denominator of -36/3715 and 30/743. 3715 Find the common denominator of -79/2706 and 1/20. 27060 What is the smallest common multiple of 54 and 243? 486 Calculate the least common multiple of 1057 and 604. 4228 Find the common denominator of 43/28 and -55/56. 56 Find the common denominator of 63/8 and -3/53812. 107624 Calculate the lowest common multiple of 110 and 22. 110 What is the common denominator of -63/4 and 83/1034? 2068 Calculate the common denominator of 70/2013 and -19/21. 14091 What is the common denominator of 17/162 and -23/27? 162 What is the smallest common multiple of 984 and 80? 9840 Find the common denominator of 31/504 and -95/12. 504 What is the common denominator of 27/40 and 79/160? 160 Calculate the least common multiple of 1607 and 5. 8035 What is the common denom
{ "pile_set_name": "DM Mathematics" }
121*k + 170 = 45*g, 3*k = -2*g - 7 for g. 4 Solve 3901*c + 6 = -3*k + 3896*c, 2*k + 4 = -7*c for k. -2 Solve 0 = -2*w + 4*v + 4, -2*v = -9987*w + 9984*w - 2 for w. -2 Solve -5*y + 14 = -12*f + 14*f, -4*f = 6*y - 20 for f. 2 Solve 3*f - 3 = 0, 4*f + 398 = -o + 397 for o. -5 Solve -3*x - 13*l = -7*x - 33, 0 = 7*l - 2*l - 5 for x. -5 Solve -2 = -4*b - 2*j, -5*b + 15*j = 18*j for b. 3 Solve t - 3*d - 1409 = -1406, -4 = -t + 2*d for t. 6 Solve 3*f = 0, 88*f - 91*f = 3*d - 24 for d. 8 Solve -5*a = 25, 273*x - 272*x = 3*a + 16 for x. 1 Solve p - 11 = 2*t, p + 4*t + 34220 - 34207 = 0 for p. 3 Solve 57*l + v - 6 = 54*l, -3*v = -3*l - 6 for l. 1 Solve 5*r + 19*a = 16*a - 40, -60 = 7*r + 5*a for r. -5 Solve 4*b = -m - 5, 3*m + 1 = 291*b - 289*b for b. -1 Solve 3*r = -n + 5*r + 4, 8*n + 7 = 3*r for n. -2 Solve -513 = 2*z - 523, 0 = 4*i + 3*z - 3 for i. -3 Solve -p - 4 = 2*s, 995 = s + 998 for p. 2 Solve -819 = -4*z - x - 912, -4*x + 65 = -3*z for z. -23 Solve -4*b + 10 = -7249*n + 7251*n, 0 = -5*n + 5*b + 25 for n. 5 Solve -3*b = -2*a + 9, 4*a - 72 = -5*b - 109 for a. -3 Solve -2*t - 10*p = 30, t + 25 = -2*t - 5*p for t. -5 Solve -1689*k - 5*u - 14 = -1690*k, 46 = -6*k + 4*u for k. -11 Solve 3*u = 3*r + 33, -58*r - 51 = -3*u - 53*r for u. 2 Solve -5*d - 4*w + 21 = 0, 3*w + 4391 = -3*d + 4403 for d. 5 Solve 3*t = 4*c + 4, 2*c = -26*t + 21*t - 28 for t. -4 Solve 3*g = 2*l + 7, 0 = g - 6970 + 6965 for l. 4 Solve 2*f = -3*g - 13, -2*g + 7*f - 20 = 6 - 9 for g. -5 Solve 0 = 4*z - 3*i - 4, 3*i = 9*z + 8*i + 38 for z. -2 Solve 16*m - 20*m + v - 11 = 0, 2*m + 11 = -5*v for m. -3 Solve 21*h - 56*h - 28 = -28*h, -5*o - 5*h - 45 = 0 for o. -5 Solve 5*z + 16 = 2*a, 1842*a - 21 = 3*z + 1837*a for z. -2 Solve -633*j - 19 = -630*j + 2*v, 0 = 2*j + 2*v + 14 for j. -5 Solve -154 = -4*j + 4*h - 142, 5*j - 9 = 3*h for j. 0 Solve p = -s + 6*s - 37, -4*s + 29 = -p for s. 8 Solve 3*l - 4*x - 29 = 0, 1265*l + 8 = 1267*l + 3*x for l. 7 Solve -l = -6*s - 19, -4*l - 1433*s + 1429*s - 8 = 0 for l. 1 Solve 2*c + 2*n + 4 = 0, -1215*c - 4*n - 12 = -1210*c for c. -4 Solve 0*y - y - 33 = -33, -5*w + y = 55 for w. -11 Solve -2*s + 8 = 0, 3*r - 483*s = -482*s - 16 for r. -4 Solve -3*j - 99*b + 21 = -96*b, 4*b - 24 = -2*j for j. 2 Solve 2*u + 2*n + 104 = 134, -4*n = u - 21 for u. 13 Solve 5*m = 3*j + 20, -2*m - 1919*j = -1924*j - 8 for m. 4 Solve 4165*z = -t + 4163*z - 3, 0 = t + 4*z + 9 for t. 3 Solve 0 = 3*t + 3, -2*x + t - 9 = 6*t for x. -2 Solve 7 = 5*n + 5*o - 3, -5*o = -10 for n. 0 Solve k + 20 = -12*t, -4*k + 2*t + 54 - 34 = 0 for k. 4 Solve -9*b - 7 = 9*r - 4*r, r - 3*b = 13 for r. 4 Solve v - 38*s + 2 = -37*s, 2*v - s = 0 for v. 2 Solve -5*k + 555*f + 29 = 547*f, k + 4*f = -11 for k. 1 Solve 0 = -3*u + 30, 6*f + 3*u = 8*f + 30 for f. 0 Solve l = 1, 0 = 4*f + 9780*l - 9782*l + 46 for f. -11 Solve -y - 6 = -j, 3*y - 2*j + 6 = -5 for y. 1 Solve 3*v + 30 = 3*b, -4*b + 104 = v + 89 for b. 5 Solve 28 = 2*h - 34*u + 23*u, -2*h - 24 = 2*u for h. -8 Solve 127 = 4*s + 119, -3*u - 3*s + 3 = 0 for u. -1 Solve -135 = 22*y + 3*w, -99*w = 2*y - 97*w + 14 for y. -6 Solve 3*t = -5*d, 5*d - 10 = -24*t + 19*t for d. -3 Solve 0 = 3*p + 2*h - 10, -1655*h + 1659*h - 10 = -p for p. 2 Solve -3*z = 43*y - 42*y - 25, 2*z + 3*y = 26 for z. 7 Solve 24*h - 328 = -4*o, 39*h - 54 = -o + 35*h for o. -2 Solve 2*j = 3*y + 401 - 422, 5*y = 25 for j. -3 Solve -4*n = 0, 0 = -2750*r + 2748*r + 2*n + 4 for r. 2 Solve -2*l + 23647 = 2*i + 23653, -3*i = l + 17 for l. 4 Solve 4*y = -11*u + 49, -3*y + 29*u = 33*u - 24 for y. 4 Solve 8 = 4*a + 2*o, -722*a + 4*o = -721*a - 2 for a. 2 Solve -115*y + 118*y - 2 = -4*h, -3*h + 2*y + 10 = 0 for h. 2 Solve -69*a - 3*h = -65*a + 20, -5*h + 10 = -2*a for a. -5 Solve -4*g = -3*l - g, -2*l = l + 3*g for l. 0 Solve -k - 612 = 5*p - 627, 5*p + 2*k = 15 for p. 3 Solve 0 = 3*i - p + 107 - 112, -2*i - 5*p + 9 = 0 for i. 2 Solve -5*p = -4*k - 55, 2*k - 51*p + 56*p = 25 for k. -5 Solve -3*p = d + 11, 22 = 531*d - 529*d - 5*p for d. 1 Solve 3*x = -3, -3*j - 3*x + 208 = 217 for j. -2 Solve 0 = -3*k + 2*q + 7, 10273*k + q = 10269*k - 9 for k. -1 Solve -71*t + 26 = -67*t - 3*b, 3*t + 5*b = 5 for t. 5 Solve -t - 1289 + 1298 = -y, -4*t = y + 9 for y. -9 Solve 0 = 5*l - 3*v + 1, -96 = -5*l - v - 109 for l. -2 Solve 2*d = 6*d + 5*l + 68, 4*l + 74 = 58 for d. -12 Solve -g - 58*o + 60*o = -23, 0 = g - o - 19 for g. 15 Solve -5*w = 4*f + 20, w = 3*f + 3*w + 8 for f. 0 Solve -68*c = 3*w - 70*c - 30, 18 = w + 2*c for w. 12 Solve 0 = y - 7, -2*j - y + 10 = -21 + 14 for j. 5 Solve 0 = z + 5*d - 28, 56*z - 55*z = -4*d + 23 for z. 3 Solve 3*m = -5*t + 8, -m + 119 - 103 = -5*t for m. 6 Solve 10*f - 6*f = 7*f + 5*u - 3, -4 = -4*f - 17*u for f. 1 Solve -o = 3*b - 6564 + 6571, 4*b = -5*o - 35 for o. -7 Solve 0 = 3*c + 5*d - 12, -139819*d + 139815*d = 4*c - 8 for c. -1 Solve -22*u = -3*o - 141, 69 = 5*u + 25*o + 114 for u. 6 Solve 1714*o - 1716*o - d = 17, 4*d = 2*o + 2 for o. -7 Solve 30*x = 4*m + 29*x - 20, m - x - 23 = 0 for m. -1 Solve -u - 2 = -3*r, -r - 78*u + 10 = -83*u for r. 0 Solve 9*v - 2*v + q = -20, 0 = 4*q + 24 for v. -2 Solve 0 = l - 4*u + 7 + 3, 0 = -7*u + 35 for l. 10 Solve 13*y - 8*y - 10 = 0, -3*y = -4*h + 2*y - 18 for h. -2 Solve -4*h - 17 = 5*w, -28*w - 12 = -h - 26*w for h. 2 Solve -x = h - 12*h + 7*h + 33, -6*x + 4*h = 98 for x. -13 Solve 4*g - 3 = 5*y, 30*y = 26*y - 3*g - 21 for y. -3 Solve 3*k - 44 = w, 0 = -w - 108*k + 117*k - 140 for w. 4 Solve 108*h - 2*a = 112*h, 0 = -3*h + 3*a + 9 for h. 1 Solve -11*z - 153 + 97 = 4*u, u = -3*z - 15 for u. -3 Solve -5*f - 5 = 420*m - 425*m, -4*m = -5*f - 9 for f. -5 Solve -3*n - 3 = 2*y, -3*y = 14500*n - 14496*n + 4 for y. 0 Solve -2*t - 10*h - 10 = 0, 2*h - 16 = 5*t - 18 for t. 0 Solve 250*m = 4*q + 249*m, 4*m - 21 = -5*q for q. 1 Solve 0 = -400*x + 402*x - 2*m - 10, x + 1 = -5*m for x. 4 Solve f - 4*f - 12 = 4*q - 43, 0 = f + 3 for q. 10 Solve -2*d = 5*l + 10, -35 = -5*l - 55 for d. 5 Solve 2*f - 7*f = 4*a, -f - 40*a = -39*a for f. 0 Solve 440*n = 4*i + 441*n + 16, -2*i = -5*n + 8 for i. -4 Solve -5*s + 21 = -a, 2*a - 3*s = 1244 - 1258 for a. -1 Solve -2*l + 5*j + 20 = 0, -331*l + 30 = -328*l + 3*j for l. 10 Solve -20*d + 15*d + 3*f = -4, 4*d - 4*f - 16 = 0 for d. -4 Solve -5827*w + 5*q = -5826*w + 25, -5*w + 2*q = 10 for w. 0 Solve -5*g + 2*f - 33 = 4*f, -5*g - 24 = f for g. -3 Solve -32*l + 8 = -4*j - 34*l, 2*l - 4 = 0 for j. -3 Solve 3*n = 938*d - 936*d + 43, 0 = -5*n + 55 for d. -5 Solve -k - 104 + 129 = 5*c, 4*c - 36 = -4*k for c. 4 Solve o - 3*y + 6 = 0, 12*o + 5*y - 423 = -495 for o. -6 Solve -2*g - 82 = -19*s - 163, 3*g + 4*s + 41 = 0 for g. -7 Solve 2*t - 24*s - 24 = -23*s, 3*t - 58 = 7*s for t. 10 Solve -4*b + 52 = 103*o - 99*o, -669 = -3*b - 48*o for b. -1 Solve -113*k - 2*t = -116*k - 9, -3*k = 3*t - 6 for k. -1 Solve 3*m - 26 = -16*j + 19, j - 2*j = -8*m - 11 for m. -1 Solve 0 = -2*a + s, 4*a - 49*s + 54*s + 28 = 0 for a. -2 Solve -5 = -4*j - 33, 32 = 4*q - 4*j for q. 1 Solve 0 = -4*a + 3*l - 13, -7*a - 26*l + 56*l = 26*l + 24 for a. -4 Solve -4*g = -3*h - 5, 11*h + 35 = -2*g + 20*h for g. 5 Solve -2*f - 8*x = 67 - 51, 2*x + 6 = 0 for f. 4 Solve -16460*u + 128 = -16464*u + l, 0 = -2*u + 4*l - 50 for u. -33 Solve -5*z = 2*o + 20, -z = 116*o - 122*o - 92 for o. -15 Solve 2*i = -5*d + 14, 2*d = 3*d - i for d. 2 Solve 0*k = 3*k - 4*d - 7, -2*k + 2*d = -2 for k. -3 Solve 5*p = -3*h - 34 + 49, 2*h - 4*p - 32 = 0 for h. 10 Solve 11*f - 9 = 14*f + i, 4*f - 5*i - 64 = 0 for f. 1 Solve -5*d = 5*i + 70, 12*i = -16*d + 11*i - 164 for d. -10 Solve 536 - 558 = 2*s + 5*w, 3*w = -s - 13 for s. -1 Solve 0 = 4*i + 19*m - 14*m + 31, 2*m - 10 = 4*i for i. -4 Solve 0 = j - 2*k + 23, -2*j + 98 - 116 = -2*k for j. 5 Solve -1 = -3387*x + 3386*x - 5*a, 5*x = 4*a + 5 for x. 1 Solve 35*a - 31*a = 5*z + 18, 27 = a - 5*z for a. -3 Solve 3*d + 9 = 3*v, 15939*d - 15 = -5*v + 15943*d for v. 3 Solve -50 = -72*i + 70*i + 9*j, 5*i + 3*j = -28 for i. -2 Solve -5*a + 2*b + 15 + 29 = 0, -a + 3*b = -14 for a. 8 Solve 2*x = -5*t - 25, -72*t - 2*x = -69*t + 11 for t. -7 Solve 2*t = -5*u + 94 - 77, 0 = -3*t - 4*u + 15 for t. 1 Solve -27*v + 144 = 4*y - 55*v, 4*v = -4*y - 16 for y. 1 Solve 3*b + 41 = 2*o, -70*o - 4*b = -73*o + 54 for o. -2 Solve -5*c = -10*c + p + 23, -12
{ "pile_set_name": "DM Mathematics" }
next in 30, 239, 818, 1953, 3830, 6635? 10554 What is the next term in 17, 78, 237, 542, 1041, 1782, 2813, 4182? 5937 What comes next: -312, -314, -318, -324, -332, -342? -354 What is next in 284, 206, 128? 50 What is the next term in 2881, 2885, 2891, 2899? 2909 What comes next: 1652, 1653, 1654, 1655, 1656? 1657 What is next in -1611, -6455, -14529, -25833, -40367? -58131 What is next in 63, 133, 203, 273? 343 What is next in 87, 154, 221? 288 What comes next: -179, -356, -535, -716? -899 What is next in -2, 2, 8, 16, 26, 38? 52 What is next in -648, -649, -650, -651, -652, -653? -654 What is next in -2, -110, -408, -992, -1958? -3402 What is the next term in 715, 2860, 6437, 11446, 17887, 25760? 35065 What comes next: 12, 88, 224, 426, 700, 1052? 1488 What comes next: 1580, 1581, 1582, 1583, 1584? 1585 What is the next term in -1000, -999, -998, -997, -996, -995? -994 What is the next term in 27, 132, 299, 522, 795, 1112, 1467? 1854 What is the next term in 109, 112, 115, 118, 121, 124? 127 What is next in -1364, -1367, -1372, -1379, -1388, -1399, -1412? -1427 What comes next: -4351, -4345, -4329, -4297, -4243, -4161, -4045? -3889 What is the next term in 25, 24, 23? 22 What comes next: 489, 981, 1473, 1965, 2457, 2949? 3441 What comes next: 9, -13, -109, -327, -715, -1321, -2193, -3379? -4927 What is the next term in 121, 115, 107, 97, 85, 71? 55 What is next in 20, 49, 78, 107? 136 What is next in -3232, -3230, -3228, -3226? -3224 What comes next: -13900, -13902, -13906, -13912, -13920, -13930? -13942 What comes next: -204, -374, -546, -720? -896 What is next in -52, -128, -256, -436? -668 What is next in 319, 323, 327? 331 What comes next: -201, -202, -203, -204? -205 What comes next: 541, 1087, 1633, 2179? 2725 What is the next term in 36, 49, 76, 123, 196, 301, 444? 631 What comes next: -596, -601, -610, -623, -640, -661? -686 What is the next term in 1026, 2054, 3082, 4110, 5138? 6166 What is next in -370, -742, -1118, -1498? -1882 What comes next: 45, 10, -55, -156, -299, -490, -735, -1040? -1411 What comes next: -338, -350, -376, -422, -494, -598, -740, -926? -1162 What is next in 6, 15, 30, 51, 78, 111, 150? 195 What is next in 21, 8, -13, -42, -79, -124? -177 What is the next term in 1485, 1477, 1455, 1413, 1345, 1245, 1107, 925? 693 What comes next: -574, -1144, -1714, -2284, -2854? -3424 What is the next term in 861, 1729, 2599, 3471, 4345? 5221 What comes next: -7, -40, -129, -304, -595, -1032? -1645 What is next in 38, 166, 372, 650, 994, 1398? 1856 What is the next term in 6, 11, 32, 81, 170, 311, 516? 797 What is next in -332, -362, -450, -626, -920, -1362, -1982, -2810? -3876 What is the next term in 145, 8, -221, -542? -955 What is next in -8, -5, 10, 43, 100? 187 What is next in 181, 85, -73, -293, -575, -919, -1325? -1793 What comes next: -6, -32, -76, -138, -218, -316, -432? -566 What comes next: 230, 462, 694, 926? 1158 What comes next: 833, 834, 835? 836 What is next in 38, 39, 40? 41 What comes next: -151, -144, -137, -130, -123? -116 What is the next term in -47, 8, 107, 256, 461, 728, 1063? 1472 What is the next term in -995, -998, -1003, -1010, -1019, -1030? -1043 What is next in -363, -713, -1053, -1377, -1679, -1953, -2193, -2393? -2547 What is the next term in 24, 45, 64, 81? 96 What is the next term in 1485, 2984, 4495, 6018, 7553? 9100 What comes next: -95, -110, -139, -188, -263, -370, -515? -704 What comes next: -53, -50, -37, -8, 43? 122 What comes next: 30, 33, 36, 39, 42, 45? 48 What is next in 14, 89, 214, 389, 614, 889, 1214? 1589 What is the next term in -168, -164, -158, -150? -140 What comes next: 150, 284, 400, 498, 578, 640? 684 What is next in 86, 98, 134, 206, 326, 506, 758, 1094? 1526 What is next in 2358, 4716, 7074? 9432 What is the next term in -2480, -2478, -2476, -2474? -2472 What is next in -24, -29, -34? -39 What is next in 24, 198, 664, 1566, 3048, 5254? 8328 What comes next: 381, 369, 343, 297, 225, 121, -21, -207? -443 What is the next term in 71, 76, 83, 92, 103, 116, 131? 148 What is next in 55, 80, 113, 154, 203, 260? 325 What comes next: 176, 161, 146, 131, 116, 101? 86 What is the next term in 2945, 5891, 8837, 11783, 14729, 17675? 20621 What comes next: -35, -92, -165, -254, -359, -480, -617? -770 What is next in -3, -14, -33, -60, -95, -138, -189? -248 What comes next: 121, 127, 133, 139, 145, 151? 157 What is the next term in 6, 28, 72, 144, 250, 396? 588 What is the next term in -99, -210, -333, -474, -639, -834, -1065, -1338? -1659 What is next in 624, 635, 646, 657? 668 What comes next: 9, 20, 27, 24, 5, -36? -105 What comes next: -238, -225, -212? -199 What comes next: -70, -138, -202, -262? -318 What is next in -535, -536, -537, -538, -539? -540 What is next in -59, -249, -557, -977, -1503, -2129, -2849? -3657 What comes next: 177, 173, 179, 201, 245, 317, 423? 569 What is next in 1, -9, -31, -71, -135, -229, -359, -531? -751 What comes next: 523, 508, 469, 394, 271? 88 What is the next term in -51, -123, -225, -363, -543, -771, -1053? -1395 What is the next term in 21, 29, 49, 87, 149, 241, 369, 539? 757 What comes next: 1088, 2175, 3262? 4349 What is the next term in 320, 315, 308, 299? 288 What comes next: -527, -535, -549, -569, -595, -627? -665 What is the next term in 10, 4, 0, -2? -2 What is next in 27, 29, 33, 39, 47? 57 What is the next term in 6522, 13046, 19570? 26094 What is next in 3051, 3054, 3057? 3060 What comes next: -152, -339, -570, -851, -1188? -1587 What comes next: -73, -277, -617, -1093, -1705, -2453, -3337? -4357 What is the next term in 170, 333, 498, 665? 834 What comes next: 238, 245, 252, 259, 266? 273 What is the next term in -68, -117, -206, -341, -528, -773, -1082, -1461? -1916 What is next in -129, -502, -1123, -1992? -3109 What is the next term in 33, 48, 73, 108, 153, 208, 273? 348 What comes next: -684, -2747, -6188, -11007? -17204 What is next in -123, -122, -121, -120? -119 What comes next: 7, -12, -31? -50 What is next in 3573, 3574, 3575? 3576 What is the next term in 215, 421, 625, 827, 1027? 1225 What is next in -1231, -1224, -1207, -1174, -1119? -1036 What comes next: 27, 113, 345, 795, 1535, 2637? 4173 What is the next term in 261, 529, 807, 1095, 1393? 1701 What is the next term in 391, 380, 359, 322, 263? 176 What comes next: 27, -66, -317, -804, -1605, -2798? -4461 What is next in -115, -84, -39, 14, 69, 120, 161? 186 What is next in 29, 109, 245, 437, 685? 989 What is next in 8, 75, 232, 515, 960, 1603? 2480 What is the next term in -4, -7, -18, -43, -88? -159 What comes next: 43, 69, 81, 79, 63, 33, -11? -69 What is the next term in 144, 279, 416, 555? 696 What comes next: -532, -529, -524, -517, -508? -497 What comes next: 0, 53, 102, 147? 188 What is the next term in -373, -372, -371? -370 What comes next: -6720, -6718, -6716, -6714, -6712, -6710? -6708 What comes next: 15, 25, 59, 129, 247, 425? 675 What is the next term in 50, 86, 114, 134? 146 What is next in 33179, 33170, 33147, 33104, 33035, 32934? 32795 What comes next: 121, 239, 357, 475? 593 What is the next term in -7062, -14127, -21194, -28263? -35334 What is next in 4, 7, 18, 43, 88, 159, 262? 403 What comes next: -23, -24, -25, -26? -27 What comes next: 50, 191, 426, 755, 1178, 1695, 2306? 3011 What comes next: 35, 41, 47, 53, 59? 65 What is the next term in 282, 278, 272, 264, 254? 242 What comes next: -4260, -8529, -12786, -17025, -21240, -25425, -29574, -33681? -37740 What is next in 163, 140, 81, -32, -217, -492, -875? -1384 What is next in -275, -301, -365, -485, -679, -965, -1361? -1885 What is the next term in -13, -30, -49, -70? -93 What is next in 170, 161, 152? 143 What is the next term in -648, -654, -670, -702, -756, -838? -954 What is the next term in 443, 450, 459, 470? 483 What is the next term in 53, 57, 61, 65, 69? 73 What is next in -11, -48, -111, -200, -315? -456 What is next in -29, -44, -73, -122, -197, -304? -449 What is next in -9, -85, -219, -417, -685, -1029? -1455 What is next in 4, -11, -44, -101, -188, -311? -476 What comes next: 289, 430, 571, 712, 853? 994 What is next in 48, 57, 82, 129, 204, 313, 462, 657? 904 What is next in -18, -42, -82, -138, -210? -298 What is next in 76, 78, 80, 82? 84 What comes next: 37, 280, 931, 2
{ "pile_set_name": "DM Mathematics" }
- 5) + 5 + -85 + 86 + (-1 - 7). -20 0 + 12 + (-37 - -31 - -8) + (11 - -1) 26 What is (-49 - -47 - 17) + 38? 19 Calculate (13 - 141) + (-64 - -130). -62 Evaluate 204 + -124 + -6 + 2 + -4. 72 Calculate -46 - -4 - (93 + (-36 - 44)). -55 Calculate 6 + -22 + (380 - 398). -34 Evaluate 120 - 121 - (26 + (0 - (2 - 1 - 4))). -30 Calculate 86 - (-3 + -75 + 150). 14 Evaluate -1 - (78 - 4) - (-261 - -242). -56 Evaluate 84 + -106 + -8 + 17. -13 Calculate 13 - ((-1 - -2) + -9 + -81 + 75). 27 What is (-64 - -33 - (-9 - 2)) + -8 + 9? -19 (-183 - -173) + (-23 - (2 + -8 - -4)) -31 What is (0 - -10 - 20) + -3 + -1 + -7 + 5? -16 What is the value of (-3462 - -3548) + (-107 - 2)? -23 Calculate 81 + (-156 - (36 + -17)). -94 Evaluate (15 - -3) + 14 - (-6 + -4 + 23). 19 Evaluate 9 - ((-11 - 1 - (10 - (8 + -104))) + 7). 120 What is -34 - -4 - (24 + 11 + -13)? -52 Evaluate (72 - 7 - (65 - 63)) + -4. 59 Evaluate 23 - (-94 + 32 + 8). 77 What is the value of -9 + 52 - (39 + -21 - (0 + 6))? 31 What is -19 - (12 + (-12 - 4)) - -4? -11 21 + (-4 - -21 - (-28 + 30)) 36 Calculate (31 + -28 - 36) + 37 - -51. 55 Evaluate 62 + 1 + (-35 - (-35 - 5)) + -19. 49 Evaluate 11 + 16 + -18 + 20 + -3. 26 Evaluate (-15 + 7 + 4 - -48) + -60 + 54. 38 1 + 20 + (4 - (68 - 55)) 12 Calculate (81 - 135) + 128 + -78. -4 Evaluate -64 - 55 - (10 + -96). -33 Evaluate 77 + -11 + (7 - 6) + 6 - (-40 - -51). 62 Calculate -34 + (-14 - (-29 - (30 + 6))). 17 Calculate 47 - 2 - (-27 + 44 + -3). 31 What is the value of (-2 + -12 + 7 - 1 - (-3 - 3)) + -1? -3 Calculate 0 + (42 - 72 - 46) + -18. -94 What is the value of 4 + (-9 - (-2 - (2 - 3) - 5)) - -99? 100 Evaluate 8 + -7 + 1 + -99 + (179 - 178). -96 -101 + -67 + 168 + -62 -62 What is the value of 25 + -27 + 34 + (0 - -18)? 50 What is the value of (144 - -2) + 9409 + -9500? 55 What is (17 - (5 - 1 - 0)) + 293 + -290? 16 -18 + -10 + 6 - ((4 - 6) + -5) -15 9 + 1 - (-2 - -2) - (73 + 11 - 10) -64 Calculate -218 + (233 - 134 - -50). -69 What is 1 + 36 - (10548 + -10492)? -19 Calculate -9 - (-53 + 9 + -8) - (-9 - -16). 36 Calculate 5 + 2 - (6 + (6 - 12)) - -6. 13 Calculate -41 + 65 - (22 + 5 + -4). 1 0 + -6 - (-36 - (-43 - (0 - 11))) - 60 -62 Calculate 24 + (0 - -11) + -183 + 187. 39 Evaluate -4075 + 4017 - (-3 + -82). 27 Calculate -4 + ((0 - 1) + 1 + -33 + 38 - 12). -11 (4 - -12) + (-28 - -21) + -21 -12 (12 - -26) + -6 + 2 34 What is -23 + (44 - 8) - 44 - -88? 57 What is the value of 111 - (-15 - (6 + (-17 - 15 - 11)))? 89 What is the value of -46 + 58 + -79 + 5? -62 What is 12 - (82 - 27 - 86)? 43 What is (-1 + -5 - (34 - 49)) + (9 - 0 - 71)? -53 2 - (-1 + -4 + (-3 - -4) + -2) - 23 -15 Calculate -19 + -58 + 201 + -26. 98 Evaluate (-5 - -23 - 28) + 97 - (-1 - -9 - 3). 82 What is the value of -3 + 42 - ((0 - 1) + 19 + -17 + -6)? 44 Evaluate (44 - -40) + -116 + 8. -24 What is the value of (-11 - (2 - 9)) + -91 + -13 + -5? -113 What is the value of 4 + 23 - ((-4 - -1) + (66 - (140 - 67)))? 37 What is (-81 - -95) + (1 - 27) + -13 + -8 + 10? -23 6 - (34 - 34 - (-3 + 3 - 0)) 6 What is the value of 11 - 10 - (90 - 146)? 57 Calculate (60 + 20 + -83 - (-5 + 0)) + (4 - 1). 5 535 + -486 + -5 + 1 + (-6 - -1) 40 Evaluate ((3 - 3) + -3 - -22) + (185 - 195) + 74. 83 Calculate (35 - 14 - 18) + 9 - 0 - (0 - -22). -10 Calculate 30 + -13 + 8 + (-19 + 12 - -3). 21 What is -6 + -13 + 15 - ((-75 - -2) + 2 + -3)? 70 Calculate -8 + 12 + 0 + (-1 - 7) - -3. -1 Evaluate (-44 - -244) + -76 - 55. 69 What is 78 + -83 - (-10 + 2 + -5 + 77)? -69 What is (2 - 9) + 93 + (26 - 14)? 98 What is -28 + 23 + 46 + -57 + -15? -31 What is the value of -36 + 13 + (-30 - -8 - -14) + -16? -47 Evaluate 3 + (-18 - -1) - (1707 - 1691). -30 Calculate 4 - 2 - -62 - (-5 - 14 - (11 + -24)). 70 What is ((-66 - -62) + (-1 - -87) - (-9 - -8)) + -4? 79 Evaluate (-39 - -42) + -3 + (6 - (0 + 26) - -3). -17 40 - (-73 - -81) - -7 39 Calculate -34 + -1 - ((23 - -1) + 465 + -506). -18 -40 + (126 - 27) + -51 8 What is the value of -59 + -10 - -22 - (-83 - -39)? -3 Evaluate -305 + 355 - (47 - 1). 4 What is 63 + 131 + -181 + (1 - 4 - 1)? 9 Calculate (-2 - -9) + (-7 - (-25 + 10 - -9)) + -81. -75 5 + 1 + 47 + (13 - 58) 8 Evaluate (-31 + -1 - (8 + -51)) + -20. -9 What is the value of (29 - (87 + (17 - 60))) + 13 + 0? -2 Evaluate 1 + -5 + -9551 + 9477. -78 What is the value of -55 - (-2 - -8 - 54)? -7 What is -90 + 16 + 8 + 7? -59 -288 + 254 - (6 + -13 - -83) -110 -2648 + 2612 - (-1 - 6 - 0) - 8 -37 What is -53 + (37 - (-1 - -11) - 13) - 13? -52 What is (-717 - -639) + (-1 - -4)? -75 What is 2 - (-65 + (26 - 9 - -9))? 41 What is (-14 + 6 - -9) + (1 + 142 - (-279 - -285))? 138 Calculate 50 + 7 + -4 + 223 + -204. 72 Evaluate -13 - 0 - (-10681 - -10654). 14 -9 - (30 - -10) - -75 26 What is the value of -3 + 17 - (26 - (-60 + 42))? -30 What is the value of (601 - 603 - (2 + 0 - 42)) + -8? 30 What is 8 - (45 + 4 + 16 - 7)? -50 (-30 - -4) + -156 + 191 9 What is the value of 9 - (3 + -12 + -3 - (-42 - -39))? 18 What is the value of 12 - (5 + 3 + -9) - (-2 + 0)? 15 14 + (0 + -44 - (-11 - -29 - 35)) -13 What is the value of 1 - 1 - 33 - (218 - 208) - -5? -38 What is the value of -90 + (10 - -39) + 26? -15 What is (-11 - 7) + (2 - (-16 - -7) - 18)? -25 What is the value of (-1 - (26 + (-7 - 56))) + -22? 14 What is the value of (-3 - 46) + (-197 - -178)? -68 What is the value of (-165 - -249 - 132 - (3 - (-1 - 0))) + -4? -56 Evaluate (1 - 4) + (5 + -9 - (-16 - (28 + 4))). 41 Evaluate (-20 - (-7 + -26) - 17) + 1 + 1. -2 3 - ((-18 - 4) + (-34 - (24 + -26))) 57 What is 39 + (-25 - 41) - 62 - -46? -43 Evaluate -4 - -55 - ((-7 - 33) + 7). 84 What is the value of (9 - (1 - -2)) + 5 + (-33 - (-8 + 27))? -41 What is 75 - (202 + -121 - -44)? -50 Evaluate 1 - (-39 - -25 - -48 - 16). -17 Calculate (7 - (-5 + 7)) + 229 + -230. 4 -1 + (-7 - -1) + (-277 - (-97 + -142)) -45 What is -42 + 37 + (-47 - (1 - 2))? -51 -465 + 469 + (-3 - (-2 + 1) - 36) -34 (9 - 1 - (31 - -45)) + 5 + -2 + 8 -57 (-42 - (-33 - 7)) + -7 -9 What is -71 + -1 - (-2823 - -2778)? -27 Evaluate -1807 + 1717 - (7 - 75). -22 -35 + (66 - 35) - 17 -21 224 + (42 - -21) + -169 118 Calculate (-11 + 3 + -2 - -13) + -16 + 4 + 71. 62 Evaluate (56 - (6 + 29)) + -67 + -19. -65 Calculate -7 + (-24 - -3) + 42 + -16 - (1 + 76). -79 Calculate 11 + 0 + 161 + -169 - (-7 - 5). 15 What is the value of -18 + 2 + 0 + 10 + (-2 - -5) - 26? -29 What is 10 - 179 - -160 - (0 + 30)? -39 (-50 - -53 - -22) + -11 14 What is the value of 77 + -64 + ((6 - -5) + -7 - -5)? 22 What is the value of -182 + -220 + 497 + (1 - 28)? 68 Evaluate 78 - (10 - (25 + -31)). 62 3 + ((-17 - -6) + 44 - -67) 103 Evaluate -37 + (-15 - -18) + 24. -10 Evaluate (67 - (-8 - (-6 - 18))) + 21 + -8. 64 Calculate -19 + 16 + (-40 - -24) + -3 + 60. 38 Evaluate (1450 - 1461) + 0 + 33. 22 -2 + (-14 + 2 - (685 - 592)) -107 What is -2 + 4 - (-18 + 0 - -15)? 5 What is the value of 1036 + -988 + (1 - 96)? -47 Calculate 126 + -91 + -40 + 9. 4 Evaluate -94 + -4 + 39 + 137. 78 Evaluate (-1 - -12) + -4 + 7 + -15 + -5. -6 ((-11 - 14) + 30 - -23) + 9 - (1 + -10) 46 -226 - -190 - (-65 - (13 - 11)) 31 What is the value of -73 - (-60 - 6) - (-60 - (5 - 3) - -1)? 54 Calculate 6 + -1 + 25 - (525 + -551). 56 1406 + -1467 - (-43 + 2) - -120 100 What is the value of 19 + -25 + -40 - (8 + -8 + -8)? -38 -67 + (36 - -4) + 7 - -92 72 What is -2 - 6 - (-26 - ((-27 - -4) + -8)) - -38? 25 65 + -108 - 20 - -30 -33 Evaluate 20 + (-84 - (-37 - -43)). -70 Evaluate 77 - (-72 + -90 + 314). -75 Calculate 2 + -1 - (15 - -14 - 11). -17 Evaluate 38 - 3 - (-4 + (75 - 60) - (9 + 1)). 34 Evaluate 27 + (40 - 90) + -72 + -2. -97 Evaluate (13 - (-12 + 66)) + 220 + -194. -15 Evaluate 7 - 57 - (1 - -5) - (-12 + 39 + -29). -54 What is the value of 96 - (72 + -40 - -41)? 23 76 + 28 + -7 + -181 -84 Calculate -151 + (88 - (-21 + 3)). -45 What is 5 + -3 + 12 - (0 - 8)? 22 Evaluate 33 + 4 - (-29 + -74 + 125). 15 Calculate 6 + 25 + (9 - (-3 + -11 - (-18 + -13))). 23 What is the value of -70 - (-26 + (23 - -2))? -69 Calculate 750 - 753 - (1 + -16) - 29. -17 Evaluate -11 - (-13 + 17) - -137 - (-62 + 60). 124 Calculate -72 + 1 + 11 + -6 + -8. -74 Calculate -10 + -2 + 182 + -31 + -20. 119 What is -20 + 38 + -56 + 55? 17 What is the value of (-69 - -24 - (8 - 120)) + (-1 - 10)? 56 Evaluate (-13 - -39) + -
{ "pile_set_name": "DM Mathematics" }
rrange 3 - 5 - 742*w**2 - 7 + 11 to the form r + z*w**2 + l*w and give r. 2 Express 3473*c + 3619*c + 7158*c as g + v*c and give v. 14250 Express 46*z - 3105*z + 38*z - 4758*z + 201*z in the form l + c*z and give c. -7578 Express (27 - 16 + 5)*(2 + 3 - 2)*(3*m**2 + 9*m**2 + 9*m**2) in the form f + l*m + g*m**2 and give g. 1008 Express 2*f**4 + 0*f - f**4 + 2*f + (0*f**3 - 2*f**3 + f**3)*(323*f - 74*f + 6*f) in the form c + p*f**4 + u*f**2 + t*f + l*f**3 and give l. 0 Express (54*s - 82*s + 48*s - 2*s - 3*s + 3*s + (-2 + 4 - 3)*(2*s - 1 + 1))*(68 + 3 - 9) in the form p*s + c and give c. 0 Rearrange -12183*o - 8665*o - 10596*o + 12602*o - 9010*o to v + r*o and give r. -27852 Express (5*l + l - 2*l)*(397168 - 397168 + 6861*l**2) as p + i*l**3 + u*l + n*l**2 and give i. 27444 Rearrange (-5*v + 5*v + 2*v)*(-2843 + 1218*v + 8550 - 2842 - 2863) to the form u*v + y + w*v**2 and give w. 2436 Express (21*r - 7 + 7 + 4*r + r - 4*r + 4*r + r - 3*r + (0 - 2 + 0)*(0*r + r - 2*r))*(-r + 59*r + 49*r) in the form x + f*r + y*r**2 and give y. 2782 Rearrange -807*m**2 + 266*m**2 + 288 + 272*m**2 + 268*m**2 to i*m + g + b*m**2 and give g. 288 Rearrange -20*n**2 + 7*n**3 + 322*n - 10*n**3 - 333*n to the form b*n + l + m*n**3 + p*n**2 and give b. -11 Rearrange (94*y - 47*y + 5*y)*(-3 + 0 - 2)*(-21 + 7 + 9) to j + i*y and give i. 1300 Express (385 - 122 - 179)*(-3 + 4 + 2)*(11 - 1 - 1)*(-3*u + 0*u + 2*u) in the form w + v*u and give w. 0 Rearrange (-375*r + 727*r - 587*r)*(8 - 3 - 8) to l*r + w and give w. 0 Express -165 - 16648*f + 165 + 16645*f + 784*f**2 in the form w + u*f**2 + s*f and give s. -3 Rearrange z - 3 + 3 + (-3 + 3 - 5)*(418*z + 195*z + 219*z) to q*z + k and give q. -4159 Express 2*a**2 + 19*a**3 - 6*a - 13*a**3 - 8*a - 6*a in the form i*a**2 + c*a**3 + q*a + n and give q. -20 Express ((h - 6*h - 14*h)*(0 - 3 + 2*h + h) - 49*h + 49*h + 12*h**2)*(-2*h + 0*h + 6*h) in the form l + z*h + p*h**2 + o*h**3 and give p. 228 Rearrange (221*y - 142*y + 288*y)*(15 + 12 - 1) to j*y + o and give j. 9542 Rearrange (-5367 - 5487 - 1942 + 386)*(6*n - 2*n - 5*n) to the form k*n + c and give k. 12410 Express 2557*t**2 + 7*t**3 - 1284*t**2 + 4 - 1281*t**2 as u + m*t**3 + o*t**2 + c*t and give o. -8 Rearrange 2928*p - 1179*p + 5153*p - 431*p to s + x*p and give x. 6471 Rearrange 8*r**3 + 271*r - 2 - 14*r**3 - 283*r + 7*r**2 - 4*r**2 to the form v + w*r + d*r**2 + l*r**3 and give d. 3 Express 92*x + 357 - 95*x - 152 + 377 + 186 as i*x + b and give b. 768 Rearrange 4 + 2*h**2 - 9580*h**4 - 3 + 6*h + 4*h**3 + 1 + 9579*h**4 to a*h**3 + w + d*h**4 + k*h**2 + b*h and give d. -1 Express (5 - 76*x + 24*x - 7)*(1 + 17 + 3)*(13*x - 2*x + 5*x) as y*x**2 + h*x + j and give j. 0 Express -3*c - 614 + 40 - 3*c + c as a*c + o and give a. -5 Rearrange 6 - 6 - 11*o**3 + (3*o**2 + 3*o**2 - 4*o**2)*(-3*o + o - 3*o) + (2*o + 4*o - 4*o)*(0*o**2 - 3*o**2 + o**2) to c*o**3 + j + w*o**2 + d*o and give c. -25 Rearrange (-1 + 2 + 0)*(-2*w + w - w) + 2*w - 4*w + 6*w + 24*w + 7 - 7 - 9 + 9 + 2*w to the form n*w + a and give n. 28 Rearrange -749*z**3 + 2*z - 611*z**3 - 785*z**3 + 524*z**3 to r + j*z**2 + c*z**3 + d*z and give d. 2 Rearrange (363*x**3 + 189*x**3 + 325*x**3)*(4 + 2 - 1) to b*x**2 + z*x**3 + j*x + w and give b. 0 Rearrange (0 - 16 + 1)*(j**2 - 2*j**2 - 3*j**2) - 17*j**2 - 8*j + 8*j + (j - 2*j - j)*(5*j - 3*j + 0*j) to r + n*j + v*j**2 and give v. 39 Rearrange -298 + 113*z - 130 + 149 - 114*z - 394 + 2*z**2 to s*z**2 + k*z + m and give m. -673 Rearrange 83*s**3 - 2*s**2 + 2020 + 87*s**3 - 172*s**3 + 4*s**2 to j*s + k*s**3 + q*s**2 + l and give l. 2020 Express -125 + 579*v**3 - 273*v**3 + 3*v**2 - 307*v**3 in the form c*v + k*v**3 + m + i*v**2 and give m. -125 Rearrange 6*n - 1853 + 1488 - 5*n to g*n + m and give g. 1 Rearrange -74995 + 74995 - 582*o**2 + (-3*o + 3*o + o)*(-5*o - 4 + 4) - 2*o**2 + 3*o**2 + 0*o**2 - 2*o**2 - 5*o + 5*o to the form g*o**2 + v + s*o and give v. 0 Express 258 + i**3 - 15 + i**2 - i**4 - 56 - 60 as t*i**2 + p + r*i**4 + m*i**3 + v*i and give m. 1 Express -647*o**2 - 510*o**2 + 1954*o**2 in the form t + x*o + f*o**2 and give f. 797 Rearrange (48 + 37 + 9)*(5*n**2 + 15*n**2 - 16*n**2)*(0*n - 6*n + n) to the form v*n**2 + c*n + q*n**3 + o and give o. 0 Rearrange -640*v + 2854*v + 2016*v to a + l*v and give l. 4230 Rearrange (5 + 6 - 3)*(-10*i + 114*i - 58*i) + (1 + 1 - 1)*(0 + 0 + i) to the form n*i + l and give n. 369 Rearrange -26 - 7*k + 6*k**2 + 3*k**2 - 3*k**3 - 9*k**4 + 0*k + 26 to a*k**3 + s*k**4 + u*k**2 + w + y*k and give s. -9 Rearrange -15*a**4 + 31 - 8*a**2 - 32 - 13*a**3 + 14*a**3 to the form d*a + l*a**2 + u*a**4 + h + r*a**3 and give u. -15 Rearrange (-2755*o**4 + 274*o**4 - 25384*o**2 + 25384*o**2)*(4 - 5 + 2) to the form l*o**4 + r*o**3 + g*o + x + c*o**2 and give l. -2481 Express -2 - d - 18 + 172 + 92 - 6*d - 92 + (-2*d - 4 + 4)*(5 + 0 - 6) in the form s + p*d and give s. 152 Rearrange -57597*g - 57794*g + 114767*g + 3*g**2 to the form t + v*g**2 + f*g and give f. -624 Rearrange 1 + 393*p**2 - 287*p**2 - p**4 + 0 - 2 + 8*p**4 to t*p + w*p**3 + v*p**2 + z*p**4 + c and give c. -1 Express (261 - 1738 - 2670 - 254 - 206)*(-7*z - 2 + 6*z - 21*z) as b*z + d and give d. 9214 Express (-2*q - 3*q + q)*(-1242 + 2185 + 1576 - 3 + 4 - 3 + (-3 - 4 + 6)*(-2 + 5 - 1)) as a + x*q and give x. -10060 Rearrange -351*a + 77*a + 10960*a**2 + 274*a + 736*a**2 to g*a + y*a**2 + o and give y. 11696 Rearrange 13 - 5 + 8 + 5 + 44*y - 76 to the form f*y + r and give f. 44 Rearrange 21 - w**3 - 47 + 25 - 942*w**4 - 883*w**4 to the form l*w**2 + r*w**3 + v*w + m + a*w**4 and give r. -1 Rearrange 233371*d**2 + 6*d**3 - d**4 + 2*d + 4*d**4 - 2*d**4 - 233339*d**2 - 3*d**4 to w*d**3 + l + h*d**2 + n*d + z*d**4 and give w. 6 Express (-2 + 5 - 36)*(-2*s + 1 - 5*s + 3*s) + 1031*s - 18 - 10 - 1029*s in the form m*s + c and give m. 134 Express -36*p - 42*p + 11*p**2 + 113*p - 3 - 38*p as v*p + f + o*p**2 and give v. -3 Rearrange -317*f**2 + 91 + 395*f**2 - 80*f**2 to the form v + l*f**2 + q*f and give v. 91 Express -4*b - 3*b**3 + b + 2*b - 3 + 7*b**2 - 18*b**4 - b + 17*b**4 in the form t*b**2 + h*b**3 + s*b**4 + u*b + o and give u. -2 Express 4 + 16819672*z**2 - 16819669*z**2 + 768*z - 1 as t*z + f*z**2 + r and give t. 768 Rearrange (32 + 68 + 53125*z + 74389*z - 100 + 65058*z)*(0 + 5 - 3) to the form o*z + y and give o. 385144 Express -2984 - 3*l + 1533 + 5*l - 2081 in the form z + y*l and give z. -3532 Express 15*p**3 + 415*p - 160*p**3 + 124*p**3 as u + z*p + o*p**3 + f*p**2 and give f. 0 Express 6*f - 10025*f**4 + 9*f**2 + 2 - 10017*f**4 - 6*f**3 - 4*f + 20038*f**4 as q*f + c*f**4 + k*f**3 + x*f**2 + n and give q. 2 Rearrange 338*m - 492156 - m**2 + 984304 - 492152 - 5*m**2 + 3*m**2 + 3*m**2 + (2*m - 4*m + 0*m)*(-2*m + 3*m - 3*m) to the form q + l*m**2 + n*m and give n. 338 Express 1085*r + 73*r + 2840*r + 293*r as p + c*r and give c. 4291 Express (r + 4 - 4)*(-33*r + 65*r + 5*r) - 11*r**2 - 11*r**2 - 8*r**2 + r**2 in the form o*r + a + b*r**2 and give b. 8 Rearrange -3569 + 2*n + 8*n**3 + 1778 - n - 3*n**2 + 1781 - 2*n**4 to the form j + k*n**4 + h*n**2 + c*n + u*n**3 and give u. 8 Express -300*f**2 + f + 0*f**4 + 205*f**2 + 2*f**3 - 2 - 2*f**4 as c + i*f**4 + p*f**3 + o*f + t*f**2 and give o. 1 Rearrange (-3 + 0 - 1)*(3*t + 4*t + t)*(2*t + 3*t - 3*t) - 1934 + 1934 - 204*t**2 to the form x*t + p*t**2 + v and give p. -268 Express 5556*r**2 + 5555*r**2 - 16678*r**2 + 5556*r**2 + 11 - 2*r - r in the form o*r**2 + l*r + b and give b. 11 Express (-5 + 5 - 2*b)*(3 - 1 - 5) + 29*b + 133*b + 8*b - 2 + 2 - 2*b as n*b + j and give n. 174 Express -180 + 1199 - 2*t + 10*t - 11*t + 311 as a + f*t and give a. 1330 Rearrange 3*z**2 + 4*z**4 + 4430*z - 2221*z + 38*z**3 - 2211*z - 4*z**2 to q*z + s*z**4 + f + d*z**2 + g*z**3 and give s. 4 Rearrange (-2*b - b - 2*b + 4*b - 4*b - b + b - b + b + (-3 - 3 + 4)*(-b + 0 + 0) - 1533*b + 3776*b + 2558*b)*(0 + 2 - 3) to j*b + d and give d. 0 Express c + 8*c - 7*c - 217 + c - 4*c in the form l*c + w and give w. -217 Rearrange (23*c + 213 + 211 - 424 + 1141*c)*(9*c + 19*c - 5*c) to the form n + w*c**2 + b*c and give w. 26772 Rearrange 71*v**3 - 341*v**3 + 1 + 0 - 298*v**3 + 0 - 2*v**2 to the form w*v**3 + c + g*v + o*v**2 and give c. 1 Express 93*u
{ "pile_set_name": "DM Mathematics" }
rest integer? 22 What is 548394 to the power of 1/2, to the nearest integer? 741 What is the cube root of 23009765 to the nearest integer? 284 What is the seventh root of 1945395 to the nearest integer? 8 What is 225372 to the power of 1/7, to the nearest integer? 6 What is 618251 to the power of 1/7, to the nearest integer? 7 What is 2532567 to the power of 1/3, to the nearest integer? 136 What is 430554 to the power of 1/4, to the nearest integer? 26 What is 7264918 to the power of 1/3, to the nearest integer? 194 What is 9202447 to the power of 1/2, to the nearest integer? 3034 What is the third root of 655867 to the nearest integer? 87 What is 161718 to the power of 1/4, to the nearest integer? 20 What is 19588955 to the power of 1/3, to the nearest integer? 270 What is the square root of 1048607 to the nearest integer? 1024 What is 556687 to the power of 1/2, to the nearest integer? 746 What is the square root of 328782 to the nearest integer? 573 What is 428054 to the power of 1/10, to the nearest integer? 4 What is the sixth root of 212581 to the nearest integer? 8 What is the fourth root of 252151 to the nearest integer? 22 What is 5632360 to the power of 1/8, to the nearest integer? 7 What is the tenth root of 797697 to the nearest integer? 4 What is the cube root of 6074575 to the nearest integer? 182 What is the eighth root of 2554957 to the nearest integer? 6 What is the third root of 126587 to the nearest integer? 50 What is the ninth root of 595787 to the nearest integer? 4 What is the ninth root of 37239092 to the nearest integer? 7 What is 1470639 to the power of 1/2, to the nearest integer? 1213 What is the tenth root of 265341 to the nearest integer? 3 What is the tenth root of 1384314 to the nearest integer? 4 What is 26102182 to the power of 1/2, to the nearest integer? 5109 What is 7435999 to the power of 1/2, to the nearest integer? 2727 What is 29825043 to the power of 1/6, to the nearest integer? 18 What is the cube root of 1881097 to the nearest integer? 123 What is the cube root of 497117 to the nearest integer? 79 What is 1249981 to the power of 1/3, to the nearest integer? 108 What is the square root of 17746 to the nearest integer? 133 What is the square root of 17929 to the nearest integer? 134 What is the third root of 1597061 to the nearest integer? 117 What is the ninth root of 615841 to the nearest integer? 4 What is the square root of 1350861 to the nearest integer? 1162 What is 1632982 to the power of 1/2, to the nearest integer? 1278 What is the square root of 225253 to the nearest integer? 475 What is 3492 to the power of 1/2, to the nearest integer? 59 What is 45977 to the power of 1/5, to the nearest integer? 9 What is 197593 to the power of 1/7, to the nearest integer? 6 What is 2835913 to the power of 1/9, to the nearest integer? 5 What is the eighth root of 894871 to the nearest integer? 6 What is the square root of 285365 to the nearest integer? 534 What is 18862 to the power of 1/2, to the nearest integer? 137 What is the third root of 12740616 to the nearest integer? 234 What is 760798 to the power of 1/10, to the nearest integer? 4 What is the cube root of 1055066 to the nearest integer? 102 What is 3402561 to the power of 1/3, to the nearest integer? 150 What is the square root of 4846585 to the nearest integer? 2201 What is the square root of 1127053 to the nearest integer? 1062 What is 17893109 to the power of 1/4, to the nearest integer? 65 What is the cube root of 30567097 to the nearest integer? 313 What is 323218 to the power of 1/2, to the nearest integer? 569 What is the eighth root of 347520 to the nearest integer? 5 What is 1325279 to the power of 1/6, to the nearest integer? 10 What is 9943440 to the power of 1/2, to the nearest integer? 3153 What is the third root of 175822 to the nearest integer? 56 What is the square root of 130433 to the nearest integer? 361 What is the third root of 15253062 to the nearest integer? 248 What is 20348170 to the power of 1/8, to the nearest integer? 8 What is the cube root of 225320 to the nearest integer? 61 What is the fourth root of 1283128 to the nearest integer? 34 What is 521864 to the power of 1/3, to the nearest integer? 81 What is 88601 to the power of 1/9, to the nearest integer? 4 What is 7687088 to the power of 1/7, to the nearest integer? 10 What is 6912373 to the power of 1/3, to the nearest integer? 190 What is 449438 to the power of 1/6, to the nearest integer? 9 What is 1941344 to the power of 1/3, to the nearest integer? 125 What is 1087197 to the power of 1/2, to the nearest integer? 1043 What is the third root of 2068813 to the nearest integer? 127 What is the square root of 732 to the nearest integer? 27 What is the square root of 2027871 to the nearest integer? 1424 What is the sixth root of 9985653 to the nearest integer? 15 What is the cube root of 98505 to the nearest integer? 46 What is the third root of 1519714 to the nearest integer? 115 What is 3317482 to the power of 1/7, to the nearest integer? 9 What is 83286 to the power of 1/6, to the nearest integer? 7 What is the square root of 347135 to the nearest integer? 589 What is 2739885 to the power of 1/4, to the nearest integer? 41 What is the square root of 273266 to the nearest integer? 523 What is the third root of 62348 to the nearest integer? 40 What is 313810 to the power of 1/6, to the nearest integer? 8 What is the tenth root of 440469 to the nearest integer? 4 What is 11928 to the power of 1/9, to the nearest integer? 3 What is 163463 to the power of 1/2, to the nearest integer? 404 What is the eighth root of 92378 to the nearest integer? 4 What is 42158 to the power of 1/3, to the nearest integer? 35 What is the square root of 6617198 to the nearest integer? 2572 What is the square root of 1120132 to the nearest integer? 1058 What is 9550327 to the power of 1/2, to the nearest integer? 3090 What is the square root of 5024630 to the nearest integer? 2242 What is 436825 to the power of 1/2, to the nearest integer? 661 What is the third root of 710347 to the nearest integer? 89 What is 31576 to the power of 1/5, to the nearest integer? 8 What is 21884026 to the power of 1/6, to the nearest integer? 17 What is the tenth root of 273648 to the nearest integer? 3 What is the cube root of 3937331 to the nearest integer? 158 What is the square root of 161619 to the nearest integer? 402 What is 265624 to the power of 1/6, to the nearest integer? 8 What is the third root of 1519104 to the nearest integer? 115 What is 2711784 to the power of 1/5, to the nearest integer? 19 What is the eighth root of 210271 to the nearest integer? 5 What is 529392 to the power of 1/2, to the nearest integer? 728 What is 1847437 to the power of 1/10, to the nearest integer? 4 What is the square root of 13136660 to the nearest integer? 3624 What is the fifth root of 4467513 to the nearest integer? 21 What is 184173 to the power of 1/2, to the nearest integer? 429 What is 347626 to the power of 1/8, to the nearest integer? 5 What is the square root of 2692212 to the nearest integer? 1641 What is the cube root of 68876 to the nearest integer? 41 What is the fifth root of 96110 to the nearest integer? 10 What is the eighth root of 9503573 to the nearest integer? 7 What is the seventh root of 100641 to the nearest integer? 5 What is the square root of 227943 to the nearest integer? 477 What is the square root of 78025 to the nearest integer? 279 What is the square root of 784075 to the nearest integer? 885 What is 149060 to the power of 1/3, to the nearest integer? 53 What is 296665 to the power of 1/2, to the nearest integer? 545 What is the ninth root of 244784 to the nearest integer? 4 What is the square root of 219482 to the nearest integer? 468 What is 1300291 to the power of 1/2, to the nearest integer? 1140 What is 4503175 to the power of 1/6, to the nearest integer? 13 What is the square root of 672687 to the nearest integer? 820 What is the cube root of 2858906 to the nearest integer? 142 What is 208384 to the power of 1/3, to the nearest integer? 59 What is 6534677 to the power of 1/2, to the nearest integer? 2556 What is 27437356 to the power of 1/10, to the nearest integer? 6 What
{ "pile_set_name": "DM Mathematics" }
integer? 114 What is the third root of 27990 to the nearest integer? 30 What is the cube root of 2073496 to the nearest integer? 128 What is 34217596 to the power of 1/5, to the nearest integer? 32 What is the fifth root of 1024710 to the nearest integer? 16 What is 4866 to the power of 1/3, to the nearest integer? 17 What is the square root of 177821 to the nearest integer? 422 What is the ninth root of 14106699 to the nearest integer? 6 What is the cube root of 934738 to the nearest integer? 98 What is 104063 to the power of 1/9, to the nearest integer? 4 What is the sixth root of 2198546 to the nearest integer? 11 What is 1082010 to the power of 1/3, to the nearest integer? 103 What is 66919 to the power of 1/7, to the nearest integer? 5 What is 159432 to the power of 1/3, to the nearest integer? 54 What is the fourth root of 503722 to the nearest integer? 27 What is 15992 to the power of 1/10, to the nearest integer? 3 What is 288395 to the power of 1/5, to the nearest integer? 12 What is 745088 to the power of 1/3, to the nearest integer? 91 What is the cube root of 799090 to the nearest integer? 93 What is the sixth root of 631189 to the nearest integer? 9 What is the cube root of 1685230 to the nearest integer? 119 What is 208187 to the power of 1/2, to the nearest integer? 456 What is 7015301 to the power of 1/3, to the nearest integer? 191 What is the sixth root of 19932 to the nearest integer? 5 What is the ninth root of 135081 to the nearest integer? 4 What is 8105545 to the power of 1/9, to the nearest integer? 6 What is 323583 to the power of 1/3, to the nearest integer? 69 What is 4336295 to the power of 1/9, to the nearest integer? 5 What is the square root of 41165 to the nearest integer? 203 What is the square root of 10076314 to the nearest integer? 3174 What is 70586 to the power of 1/8, to the nearest integer? 4 What is the square root of 35905 to the nearest integer? 189 What is 1742389 to the power of 1/7, to the nearest integer? 8 What is 1409524 to the power of 1/2, to the nearest integer? 1187 What is 14567 to the power of 1/5, to the nearest integer? 7 What is the ninth root of 35881938 to the nearest integer? 7 What is the square root of 1084575 to the nearest integer? 1041 What is 29334 to the power of 1/4, to the nearest integer? 13 What is the fourth root of 118220 to the nearest integer? 19 What is the third root of 3263425 to the nearest integer? 148 What is 11299633 to the power of 1/4, to the nearest integer? 58 What is 803497 to the power of 1/2, to the nearest integer? 896 What is 6775480 to the power of 1/2, to the nearest integer? 2603 What is the square root of 336957 to the nearest integer? 580 What is the sixth root of 792109 to the nearest integer? 10 What is the fifth root of 2922181 to the nearest integer? 20 What is 400134 to the power of 1/2, to the nearest integer? 633 What is the ninth root of 24434 to the nearest integer? 3 What is the sixth root of 7988495 to the nearest integer? 14 What is 19607424 to the power of 1/2, to the nearest integer? 4428 What is 490472 to the power of 1/2, to the nearest integer? 700 What is 9983084 to the power of 1/3, to the nearest integer? 215 What is the square root of 9134794 to the nearest integer? 3022 What is 108745 to the power of 1/3, to the nearest integer? 48 What is 243519 to the power of 1/5, to the nearest integer? 12 What is the cube root of 14907935 to the nearest integer? 246 What is the fifth root of 77503 to the nearest integer? 10 What is the square root of 2683519 to the nearest integer? 1638 What is the third root of 6129714 to the nearest integer? 183 What is the ninth root of 146678 to the nearest integer? 4 What is the square root of 148527 to the nearest integer? 385 What is the square root of 413919 to the nearest integer? 643 What is the sixth root of 608 to the nearest integer? 3 What is the cube root of 1799164 to the nearest integer? 122 What is 200202 to the power of 1/2, to the nearest integer? 447 What is the cube root of 3167016 to the nearest integer? 147 What is the third root of 1135589 to the nearest integer? 104 What is 14638 to the power of 1/3, to the nearest integer? 24 What is 18205384 to the power of 1/3, to the nearest integer? 263 What is 718562 to the power of 1/4, to the nearest integer? 29 What is the eighth root of 636542 to the nearest integer? 5 What is 1477148 to the power of 1/9, to the nearest integer? 5 What is 3777517 to the power of 1/3, to the nearest integer? 156 What is the square root of 22145749 to the nearest integer? 4706 What is 1668806 to the power of 1/2, to the nearest integer? 1292 What is the square root of 3399463 to the nearest integer? 1844 What is 426489 to the power of 1/2, to the nearest integer? 653 What is 5289072 to the power of 1/3, to the nearest integer? 174 What is 75563 to the power of 1/2, to the nearest integer? 275 What is the cube root of 8263085 to the nearest integer? 202 What is the sixth root of 1039243 to the nearest integer? 10 What is 1563257 to the power of 1/5, to the nearest integer? 17 What is the square root of 1432062 to the nearest integer? 1197 What is the third root of 1430663 to the nearest integer? 113 What is the square root of 183583 to the nearest integer? 428 What is the seventh root of 3087210 to the nearest integer? 8 What is the cube root of 2693143 to the nearest integer? 139 What is 2505113 to the power of 1/3, to the nearest integer? 136 What is the cube root of 50811 to the nearest integer? 37 What is 893059 to the power of 1/2, to the nearest integer? 945 What is 7579727 to the power of 1/6, to the nearest integer? 14 What is 255155 to the power of 1/3, to the nearest integer? 63 What is 244980 to the power of 1/8, to the nearest integer? 5 What is the square root of 12566853 to the nearest integer? 3545 What is the square root of 607804 to the nearest integer? 780 What is 795555 to the power of 1/6, to the nearest integer? 10 What is the third root of 156411 to the nearest integer? 54 What is the fourth root of 1607656 to the nearest integer? 36 What is 3248211 to the power of 1/6, to the nearest integer? 12 What is 20994246 to the power of 1/2, to the nearest integer? 4582 What is 442902 to the power of 1/2, to the nearest integer? 666 What is the third root of 805514 to the nearest integer? 93 What is 5255363 to the power of 1/10, to the nearest integer? 5 What is 17178088 to the power of 1/2, to the nearest integer? 4145 What is the fourth root of 5232805 to the nearest integer? 48 What is 1040178 to the power of 1/10, to the nearest integer? 4 What is the third root of 15993668 to the nearest integer? 252 What is the square root of 13655353 to the nearest integer? 3695 What is 1088497 to the power of 1/8, to the nearest integer? 6 What is the cube root of 11633014 to the nearest integer? 227 What is the third root of 497777 to the nearest integer? 79 What is 1833684 to the power of 1/10, to the nearest integer? 4 What is the third root of 367905 to the nearest integer? 72 What is 44421 to the power of 1/6, to the nearest integer? 6 What is 771848 to the power of 1/4, to the nearest integer? 30 What is the square root of 1244707 to the nearest integer? 1116 What is the square root of 1729141 to the nearest integer? 1315 What is the square root of 17335480 to the nearest integer? 4164 What is the cube root of 14776138 to the nearest integer? 245 What is the cube root of 840538 to the nearest integer? 94 What is 16408244 to the power of 1/10, to the nearest integer? 5 What is 1081043 to the power of 1/3, to the nearest integer? 103 What is the tenth root of 11211040 to the nearest integer? 5 What is 601911 to the power of 1/9, to the nearest integer? 4 What is 130056 to the power of 1/2, to the nearest integer? 361 What is 6948232 to the power of 1/3, to the nearest integer? 191 What is 1167775 to the power of 1/6, to the nearest integer? 10 What is the ninth root of 85206 to the nearest integer? 4 What is 20769854 to the power of 1/2, to the nearest integer? 4557 What is 6760332 to the power of 1/7, to the nearest integer? 9 What is the sixth root of 2927877 to the nearest integer? 12 What is 629260 to the power of 1/9, to the nearest inte
{ "pile_set_name": "DM Mathematics" }
127*t = 123*t - 3*s - 2*s - 90 for t. -5 Solve -51*i + 149 + 155 - 55 = 6*x, -7 + 4 = 4*i + x - 22 for i. 5 Solve -3 = 5*d + 4*n, 8*d - 19*n = 4*d + 27*n - 150 for d. -3 Solve -27*h + 60*h - 32*h + 3*u = -20, -u = -7*h - 5*u - 21 for h. 1 Solve 6*s - 45*a + 40*a + 55 = 0, 0 = -s + a - 0*a - 10 for s. -5 Solve -9*l - 64 = -5*c, 10*l - 4*c + 8*c = 9*l + 4*l + 68 for l. 4 Solve -3*x + 60 = -19629*f + 19633*f, 34 = 5*x + 3*f for x. -4 Solve 2*m - 1 = -6*p - 11 - 2, -64 = p - 10*m for p. -4 Solve 4 = -b - 4*w, 0*b + 12*w + 53 = 7*b + 1 for b. 4 Solve 6*o = 5*o + 4*c + 59 - 21 - 41, -4*o + 26 = 3*c for o. 5 Solve 5*m - 2433 = 4*w - 2499, -4*w = m + 18 for m. -14 Solve -3*v + t = 30, t + 1427 = -v + 1445 for v. -3 Solve 5*y + 221173 = 3*p + 221161, -16 = -4*p + 4*y for p. 4 Solve g + 5*h - 12 = 0, 9*g - 5*h - 4768 + 4710 = 0 for g. 7 Solve 0 = 4*o - 4*m - 232, -124*m + 20 = -4*o - 128*m + 220 for o. 54 Solve 9727*u - 4861*u - 46 = 4869*u + 2*a, 2*u + 4 = 4*a for u. -12 Solve 5*w - 210 = 10*i, -2*w = 8*i - 17*i + i - 100 for i. -4 Solve -4*a + 40 = 0, 3101*q = 3106*q - 0*a - 5*a + 60 for q. -2 Solve -28 = -14*u - 4*w, 6490*u - 6495*u = 2*w - 6 for u. 4 Solve 3*a = 54*q + 162, 6 = -273591*q + 273589*q + 5*a for q. -3 Solve 5*j - 5*s + 200 = 180, 8*s - 3*s = j + 36 for j. 4 Solve -222*s + 194*s + 23*s + 3*g + 165 = 0, -5*s - 11*g = 605 for s. 0 Solve -2*l - 4*r + 22 = 0, 28 = 5*l + r - 54 for l. 17 Solve -5*t + 13 = -m, 0 = 4*m - 508594*t + 508598*t + 4 for m. -3 Solve 54 = 3*x + 4*p, 12*x - 3*p + 369 = 357 for x. 2 Solve -54*f + 43 = 5*k - 65, 0 = -3*f + 3*f - 6*f - 12*f + 18 + 18 for k. 0 Solve 2*q = -2*z, -1621*q = -1617*q - 4*z + 8 for q. -1 Solve 3*i + 42 = 3*m + 55 - 64, -4*i = -16 for m. 21 Solve -3*r = -5*u + 37, -33919*r + 33921*r + 46 = -2*u for r. -19 Solve 72949*d - 69 = 72944*d + 3*n, 2*n = -6*d + 66 for d. 12 Solve -7*u = -4*x + 122, 45*x - 4*u + 3*u = 43*x + 2*u + 60 for x. 27 Solve -56*z + 558522 = -5*y + 558491, 24 = 4*z + 4*y for z. 1 Solve 2243*u = -2*n + 2239*u + 234, -159 = 4*n - 3*u for n. 3 Solve 3*z - 6 = 0, 0*z - 3*z = 12299*b - 12302*b - 8 + 2 for b. 0 Solve 8*j - 216 = 6*o - 426 + 158, 4 = 2*o + 4*j for o. 6 Solve 5*z - 4*t - 1 - 1 = 4*z, -33*t - 10 = -5*z - 0 for z. 2 Solve -2*p + 2*z + 71 = z, 22*p + 4*z = 20*p + 76 for p. 36 Solve 3*k = 3*v - 90, -4*v - 4*v - 34 = k - 11*v for k. -28 Solve -3*a - 87 + 78 = 0, b + 0*a = -14*a - 47 for b. -5 Solve 14 + 1346 = -91*r - d, -r - 2*r = 8*d + 6 - 1 for r. -15 Solve 5*w = 15*j + 20, -152 - 168 = -4*w + 4*j - 304 for w. 4 Solve 0 = -3*c - 3*k - 90, 1487*k = 4*c + 2966*k - 1483*k - 80 for c. -5 Solve j + 562*o - 558*o = 13, -2*o = 5*j + 25 for j. -7 Solve 0*u + n = 5*u - 45, 0 = 3*u + 28*n - 21 + 566 for u. 5 Solve -3*i = 4*q + 48, -151 - 162 + 466 = -5*q + 3*i + 147 for q. -6 Solve 198*x - 210*x + 3 + 5 + 0 = k - 3*k, 2*x - 2 = 0 for k. 2 Solve 0*y + 2*t - 186 + 168 = -y, 2*t = 4*y - 22 for y. 8 Solve -86*d + 94*d = p + 10, 8*p = 2*d - 266 for d. -3 Solve -4*c = d + 53, 5*d = 881*c - 900*c - 261 for d. -37 Solve -14*b + 1452302*t - 1452305*t - 4 = 0, 0 = 4*b - 7*t - 46 for b. 1 Solve 3*q + 5*k + 0*k + 2823 = 2967, 0 = 5*q - 5*k + 120 for q. 3 Solve -3*g + b = 6, g + 5*b + 672470 = 672468 for g. -2 Solve 4*g - g + 392 = -g - 2*r, 28*r = 4*g + 501 - 109 for g. -98 Solve 4*p = -39*o - 179, 1310*o - 1311*o - 21 = -4*p for p. 4 Solve 3*g = -v + 12 - 66, 317 = -8*v - g for v. -39 Solve -5*k - 32 = 14*b, 2*b - 1597*k + 1592*k - 33 - 31 = 0 for b. 2 Solve 8*r + 4*p + 76 = 0, -3*r - 61 = 30717*p - 30713*p for r. -3 Solve 5*f = -i - 1049486 + 1049449, 0 = -2*i - 24 for f. -5 Solve -4*x = 2*m + 222, -205 - 537 = 2*x + 12*x for m. -5 Solve -2*h - 5*f = 1, -3*h + 9*f = 2*h + 26*f + 364 - 366 for h. -3 Solve -b + 2*h - 74 = 0, -7276*b + 7270*b = -h + 37 for b. 0 Solve -160609*q = -d - 160612*q - 46, 4*d = 5*q + 71 for d. -1 Solve 75*j + 255 = 3*y, j - 4*j + 25 = -91*y + 90*y for j. -5 Solve -15*g = -52*w + 57*w + 5, -2*g + 38*w = 34*w - 4 for g. 0 Solve -2*z + 5*q - 471 + 469 = 0, 577*q - 3 = 3*z for z. -1 Solve c - 6*z - 9 = 0, -6*c = 9*c - 5*z - 393 + 428 for c. -3 Solve -5*u + v = -14, 542*v = -u + 546*v + 56 for u. 0 Solve -3351*b + 136 = 4*d - 3348*b, -2*b = -14*d + 173 + 303 for d. 34 Solve -5*l = 2*j + 14, 4*l - 30*j + 46*j - 20*j + 28 = 0 for l. -4 Solve 2*m + q + 28 + 76 = 0, -59*q = -53*q + 24 for m. -50 Solve 4*d = 4*f + 176, -5*f - 779 = d - 793 for d. 39 Solve -5*u = 2*y + 51, -40*y + 56 = -4*u - 16*y - 8*y - 10*y for u. -11 Solve -30 = -4*i - 21*d, -53*i - d = -136*i + 81*i - 8 for i. -3 Solve 394*r = 392*r - 4*p + 38, -r = -3*p + 36 for r. -3 Solve 1017*w - 108 = -1063*w + 2084*w - 8*d, 2*w = -4*d - 62 for w. -29 Solve -9716*z + 9718*z = 23*m - 401, 3*z + 49 = 2*m for z. -5 Solve 6*l - 106 = 5*l - 0*l + 12*p + 114, -l + 94 = -5*p for l. 4 Solve -36*o + 33*o - 22*y = -632, -o + y - 16 = -3*o + 9 for o. -2 Solve 0 = a + 218*u - 228*u - 352, a - 7*u + 2*u - 177 = 0 for a. 2 Solve 3*n - 29 = -18*y + 34, -6*y + 6*y + 6*n = 2*y + 4*n for y. 3 Solve 0 = -f - 7*w + 313, -55*f + 57*f - 2*w + 49 = -45 for f. -2 Solve 0 = 65*j - 14*j + 5*i + 648 + 418, -5*j - 2*i - 103 = 0 for j. -21 Solve -4*g = 5*j + 9979 - 9974, -2*j - 45 = -14*g - 7*j for g. 5 Solve -5*d = -2*h + 5, -4*h = -5*h - 53*d + 6743 - 6685 for h. 5 Solve 14 = -3*h - 25, -45*o + 42*o + 64 = -4*h for o. 4 Solve 4658 = 31*x - 28*x + 4631, -18*m - 5*x + 63 = 0 for m. 1 Solve -2*z - 42 = -t, 5*z = -1299223*t + 1299228*t - 205 for t. 40 Solve -28 = 4*v + 5*d, -1066*v + 1067*v + 5*d + 22 = 0 for v. -2 Solve -4787*s + 4770*s + 2*y = -79, -8 + 2 = -3*s + 3*y for s. 5 Solve 4*z = -4*z + 5*t - 21, 0 = z + 5*t - 48 for z. 3 Solve 2*i - 156*v + 56 = -160*v, 0*v - 2*v - 28 = -4*i for i. 0 Solve 3*y = 8*p - 42, 7231*p = 7228*p - 2*y - 3 for p. 3 Solve 0 = -4*b + 6*g - 86, 58*b = 55*b + 5*g - 71 for b. -2 Solve 5*z = -10*u + 125, 2*z - 6*u - 2*u = -3*z + 70 - 197 for z. -3 Solve -12*z + 2*m - 32 = 10, -5*m + 27 = 32*z + 108 for z. -3 Solve -9*s + 8*s = -h - 3*s + 12, -3*h - 24*h + 104 = -s for h. 4 Solve -4*l - 22*g + 85*g = 402, 4*l = -g + 16 + 18 - 84 + 32 for l. -6 Solve -5*x + 219088*c - 219093*c + 5 = 0, 2*x + c = 7 for x. 6 Solve 5*x + 265 = 3*y, -12*x - 141 + 48 = -3*y + 522 for y. 5 Solve -150 = 5*o + 4*r, -138*r - 244*r = 0 for o. -30 Solve 9*a = -5*y + 4449 - 4484, 0 = a + 3*y + 21 for a. 0 Solve -239 = 2*o + 81*p, 516474*o - 516469*o - 4*p - 22 = 0 for o. 2 Solve 0 = 5*z - 4579 + 4574, 4*z = -4*l + 12 for l. 2 Solve -5*h + 2*h + 3 = 5*p, -733*h = -729*h - 6*p - 4 for h. 1 Solve 0 = -j - 5*c - 18, 11995 = 7*j + c + 12019 for j. -3 Solve -13543*t = -2*m - 13548*t + 25, 0 = 2*m - 4*t + 20 for m. 0 Solve 4*q + 834*x - 833*x = 10, 125 = q - 12*x for q. 5 Solve -9*x + 4 = 4*j, -27*j - 2 = 23*x - 28*x - 29*j for x. 0 Solve -s = 2*s - 5*g + 219, g + 0*g + 292 = -1001*s + 997*s for s. -73 Solve -x = -3*g + 50, 37*g - 58*g + 3*x - 231 = -393 for g. 1 Solve 4*u = -2*w - 26, 25439*w - 25442*w - 3*u = 36 for w. -11 Solve d - 26 = -18*f - 1, -207 = 2*d + 2*f - 223 for d. 7 Solve 30*k = 9*k + 18*k - 3*p + 51, -5*k + 0*k + 164*p = 253 for k. 15 Solve -h + 0*j + 1 = j + 9, -3*j = -622*h + 619*h + 6 for h. -3 Solve 3*p + 15766 - 15779 = 4*k, -273 = -k + 56*p for k. -7 Solve 4*u - u + 3 = -3*x, -180*u - 9 = x - 8 for x. -1 Solve 3*x - 2*h = -88, 13709*h = -5*x + 13707*h - 136 for x. -28 Solve -3*u - u - 6*c - 23 = -7*c, 12*u + 45 = -5*c for u. -5 Solve 39*u = -3*m + 69, -32*m = -36*m + 40 for u. 1 Solve 38*x + 5*c - 46 = 4*c, -298*x + 2*c - 15 = -297*x for x. 1 Solve 36*d + 5*n - 34 = 0, -30511*n - 42 = -30514*n for d. -1 Solve -197*z + 67*z + k + 28 = -68*z - 64*z, -8*k - 13 = 275 for z. 4 Solve 0 = 2*y + 68*o - 67*o + 3, -14*y - 4*o = -0*o for y. 2 Solve 132*p - 17 = 4*z + 127*p, -2914 = -1462*z + 2*p for z. 2 Solve 1136 - 1146 = -2*l + p, -2*l = -5*l + 8*p + 2 for l. 6 Solve -5*v - 153 = 39*o, -4*o + 12*v = 13*v + 9 + 14 for o. -2 Solve 2*n - 4*k - 80 + 82 = 0, -4*k = 2*n + 26 for n. -7 Solve 71*g - 78*g = -3*n - 22, n + 2*g = -2 - 2 + 1 for n. -5 Solve -1202*b = 5*m - 1201*b + 44, 5*m + 4*b = -116 for m. -4 Solve 3*a - 13 = 4*j, -13*a + 36*a + 6*j = 10*j + 233 for a. 11 Solve 5*i - 14 = 1061*t - 1064*t, 6*t = 14*i + 4 for i. 1 Solve 4*f = -3*d
{ "pile_set_name": "DM Mathematics" }
ollect the terms in -1682*u + 8775*u - 6962*u. 131*u Collect the terms in 229*k**2 - 27*k**2 - 71*k**2 - 130*k**2. k**2 Collect the terms in 7756*x**2 - 7756*x**2 - 50419*x**3 + 50411*x**3. -8*x**3 Collect the terms in 163 + 167 + 17655*z**3 - 17650*z**3 + 150 - 480. 5*z**3 Collect the terms in -520478*d - 21500 - 277730*d + 21500. -798208*d Collect the terms in -64 + 11 + 33 + 19479*b + 20. 19479*b Collect the terms in -411*v - 653*v + 1059*v - 5. -5*v - 5 Collect the terms in 28 - 196 - 34581*i**3 + 34584*i**3 - 95 - 14. 3*i**3 - 277 Collect the terms in -4*t - 7*t**2 + 69748*t**3 + 4*t + 7*t**2 - 139493*t**3 + 69750*t**3 - 5*t**2. 5*t**3 - 5*t**2 Collect the terms in 51*v**2 + 421 - 2248 - v - 49*v**2. 2*v**2 - v - 1827 Collect the terms in -96926*v + 96926*v - v**3 - 166*v**2 + 87*v**2 + 75*v**2 + 4*v**2. -v**3 Collect the terms in 149 - 99004*c**3 - 82 - 67. -99004*c**3 Collect the terms in -6742718*u**2 - 3528664*u**2 - 182539*u**2. -10453921*u**2 Collect the terms in -47685*u**3 + 36874*u**3 - 45309*u**3. -56120*u**3 Collect the terms in -356 + 8348*f - 1846 - 16709*f + 8359*f. -2*f - 2202 Collect the terms in -5769*l + 8898*l + 26542*l. 29671*l Collect the terms in 3369*q + 1724*q - 4979*q. 114*q Collect the terms in 234726 + 2*a - 46952 - 46947 - 46936 - 46945 - 46946. 2*a Collect the terms in 484 - 1482 + 435 + 550 + k. k - 13 Collect the terms in -129583*s - 39826*s + 21181*s. -148228*s Collect the terms in 4272965483*h + 5*h**2 - 4272965483*h. 5*h**2 Collect the terms in 2783*a**2 - 19017*a**2 + 2792*a**2 + 13443*a**2. a**2 Collect the terms in -68 + 31 + 37 - 447012*g**2. -447012*g**2 Collect the terms in 2 - 4669*x - 4676*x + 13995*x - 4667*x. -17*x + 2 Collect the terms in -77055*k**2 - 77464*k**2 + 154527*k**2. 8*k**2 Collect the terms in 12409*a**2 + 33 + 8 - 57 + 16. 12409*a**2 Collect the terms in 0*p**2 - 481090 - 481584 + 962674 + 10*p**2. 10*p**2 Collect the terms in -4355*k**3 + 13073*k**3 - 4702*k**3 + k**2 - 4431*k**3. -415*k**3 + k**2 Collect the terms in -239*q - 489*q - 1138*q - 1626*q. -3492*q Collect the terms in 55774 - 15*h**2 + 121*h**3 - 7*h**2 + 5*h**2 - 55774. 121*h**3 - 17*h**2 Collect the terms in 87*f - 55*f + 5000*f + 3892*f + 5289*f. 14213*f Collect the terms in -11 + 34 - 1167*m - 19 + 7223*m - 4. 6056*m Collect the terms in z + 1636 - 249*z**2 - 4*z + 123*z**2. -126*z**2 - 3*z + 1636 Collect the terms in 94802 - 94802 - 7811*x**2. -7811*x**2 Collect the terms in -5813*x + 134*x**2 + 2909*x + 2903*x. 134*x**2 - x Collect the terms in 41*j**2 - 27*j**2 + 476 - 3 - 473. 14*j**2 Collect the terms in 32*g + 2 + 32*g - 9*g + 130*g + 7*g**2. 7*g**2 + 185*g + 2 Collect the terms in 101*f - 2*f - 7*f - 16*f - 22*f - 19*f. 35*f Collect the terms in -11*t**2 + 3*t + 5 - 9 + 16 + 24*t**3 - 11*t**3. 13*t**3 - 11*t**2 + 3*t + 12 Collect the terms in -17 - 17 - 80 - 83*z + 121 - 7. -83*z Collect the terms in 125 + 65*g**2 + 110 - 233 - 163*g**2. -98*g**2 + 2 Collect the terms in -43*m - 505*m**3 + 109*m + 513*m**3 - 49*m - 17*m. 8*m**3 Collect the terms in -196 - 190 - 192 - 209 - y**2 + 775. -y**2 - 12 Collect the terms in -3 + 1 - 1782*q + 883*q + 863*q. -36*q - 2 Collect the terms in 83 - 23055*y - 2*y**3 - 83. -2*y**3 - 23055*y Collect the terms in 52624*b**3 + 51957*b**3 - 104561*b**3. 20*b**3 Collect the terms in -35*g**2 + 81*g**2 - 113 - 33*g**2 + 113 - 13*g - 26*g**2. -13*g**2 - 13*g Collect the terms in -7016211*d + 75781153*d + 2139954*d - 3225673*d. 67679223*d Collect the terms in 9433*z - 17003*z - 6392*z - 17290*z. -31252*z Collect the terms in 13220*t**3 + 13223*t**3 + 2156 - 26440*t**3 - 2156. 3*t**3 Collect the terms in -127348*l + 42448*l + 42448*l + 42451*l. -l Collect the terms in -3 + 38*x**2 + 28*x + 26*x + 25*x - 115*x + 22*x. 38*x**2 - 14*x - 3 Collect the terms in 10591*c**2 + 17174*c**2 + 31851*c**2 - 15846*c**2. 43770*c**2 Collect the terms in 32238 - 19112 - q - 13126. -q Collect the terms in 13 + 57 + 30*k**3 + 44 - 178 - 191 - 2*k**2. 30*k**3 - 2*k**2 - 255 Collect the terms in -117*v**3 - 15*v**3 - 1272*v**3. -1404*v**3 Collect the terms in -17*a**2 + 1505*a**3 - 7*a**2 - 3*a**2 - a**2 + 28*a**2. 1505*a**3 Collect the terms in -35*y - 48*y + 154*y - 50*y - 33*y. -12*y Collect the terms in -3*x - 8*x - 344*x**3 - 3*x**2 + 8*x**2 - 340*x**3. -684*x**3 + 5*x**2 - 11*x Collect the terms in 1 + 11851*q - 1 - 5634*q - 6188*q. 29*q Collect the terms in -1239662*k - 364297*k + 228830*k. -1375129*k Collect the terms in 368*q - 42*q - 42*q - 24 + 218*q - 25*q. 477*q - 24 Collect the terms in 3 + 1446*q + 1378*q - 1636*q. 1188*q + 3 Collect the terms in 1932 + 2*p - 2*p + p - 2214 + 282. p Collect the terms in -3 - 3*y**3 + 1628*y**2 - 273*y**2 - 1047*y**2 + 3 - 308*y**2. -3*y**3 Collect the terms in 836 - 52*a**3 + 51*a**3 + 4143 - 4979. -a**3 Collect the terms in -1 - 5*m**3 - 50037*m + 1 + 27299*m + 22738*m. -5*m**3 Collect the terms in -61*i**2 + 89*i**2 + i**3 + 3*i**3 - 36*i**2 + 8*i**2. 4*i**3 Collect the terms in -8164 - 8156 + 578*d**2 + 16320. 578*d**2 Collect the terms in 104*g + 55*g - 131*g**2 - 68*g - 17*g**3. -17*g**3 - 131*g**2 + 91*g Collect the terms in 7*o**2 - 27 + 53*o**3 + 2 - 64*o**3 - 7*o**2. -11*o**3 - 25 Collect the terms in 129 + 112*f**2 - 443 - 122*f**2. -10*f**2 - 314 Collect the terms in -29*c - 41 - 33 - 38*c + 93*c - 26*c + 2*c**3. 2*c**3 - 74 Collect the terms in 812*r - 1296*r - 7*r. -491*r Collect the terms in -11344*u - 9678*u + 2567*u - 5047*u. -23502*u Collect the terms in -5911*u**2 - 70844*u**2 + 4096*u**2 - 45114*u**2. -117773*u**2 Collect the terms in -809 + 66 - 771 + 658 - 418 - 3*l**2. -3*l**2 - 1274 Collect the terms in -6*r - 14*r + 74*r - 12*r - 20*r + 6. 22*r + 6 Collect the terms in 6*x - 29*x + 468303 - 468303. -23*x Collect the terms in -133*w**2 + 110*w**2 + 7*w + 159*w**2 + 0*w + w. 136*w**2 + 8*w Collect the terms in -39420 + 12738*u**3 + 39420. 12738*u**3 Collect the terms in -14*h + 8*h + 1289 - 1390. -6*h - 101 Collect the terms in -37 - 1152 - 789 + 3*f + 2915. 3*f + 937 Collect the terms in 107702403*a - 13*a**3 - 107702403*a. -13*a**3 Collect the terms in 2294*x + 339*x - 1 + 181*x. 2814*x - 1 Collect the terms in 17*o + 14*o - 98038 + 6*o + 49018 - 2*o + 49022. 35*o + 2 Collect the terms in -34 + 377*v - 2158*v + 18 + 16. -1781*v Collect the terms in -8*p**2 + 1757*p**3 + 8*p**2 + 1784*p**3 + 1788*p**3 - 5331*p**3. -2*p**3 Collect the terms in -274 + 3*z**2 - 151 - 159 - 159 - 156 + 899. 3*z**2 Collect the terms in 3279*x**3 + 308*x**2 - 97*x**2 - 3266*x**3 - 109*x**2 - 102*x**2. 13*x**3 Collect the terms in -28969*o**3 + 8771*o**3 + 8917*o**3 + 9556*o**3. -1725*o**3 Collect the terms in 13*i**2 - 21*i**2 + i**3 - 66*i**3 + 34*i**3 + 29*i**3 + 8*i**2. -2*i**3 Collect the terms in 2937*r**2 - 161*r**2 - 2775*r**2 - 4*r. r**2 - 4*r Collect the terms in 190133238*j - 190133238*j - 70*j**2. -70*j**2 Collect the terms in -22186 - 33172 - 121980 - h. -h - 177338 Collect the terms in 19 + 6 + 5 - 30 + 13*n - 54*n**2 - 7*n**2. -61*n**2 + 13*n Collect the terms in -7 + 22*q - 16*q + 22*q - 42*q + 21*q. 7*q - 7 Collect the terms in 44*p**3 - 79*p**3 + 47*p**3 - 128*p**3 + 42*p**3 + 19*p**3 + 57*p**3. 2*p**3 Collect the terms in 46*z**3 - 252*z**3 + 65*z**3 + 53*z**3 + 44*z**3 + 22*z**3. -22*z**3 Collect the terms in -7*l + l**2 - l + 8*l + 10*l**3 + 5*l**3 - 30*l**3. -15*l**3 + l**2 Collect the terms in 205616*k - 205616*k - 2029*k**2. -2029*k**2 Collect the terms in -2*d**3 - 949322*d**2 + 7*d - 19*d + 949322*d**2. -2*d**3 - 12*d Collect the terms in -22*g + 2747*g**2 - 656*g**2 + 28 + 22*g. 2091*g**2 + 28 Collect the terms in 9*o**3 - 216*o**2 + 4*o**3 - 15*o**3 - 152*o**2 + 368*o**2. -2*o**3 Collect the terms in -11797 + 11803 + 333*j**3 - 331*j**3. 2*j**3 + 6 Collect the terms in 29 + 170224*k**2 - 29 - 170804*k**2. -580*k**2 Collect the terms in -7*l**2 + 161179 - 58*l**2 - 80587 - 80592. -65*l**2 Collect the terms in 62434*q - 127214*q + 62694*q. -2086*q Collect the terms in 63*q**3 - 29965 + 9991 + 9984 + 24*q**3 + 9988. 87*q**3 - 2 Collect the terms in -327*u**3 - 321*u**3 - 326*u**3 - 324*u**3 + 24*u**2 - 324*u**3 + 1624*u**3. 2*u**3 + 24*u**2 Collect the terms in -128429729 + 128429729 + 214*v. 214*v Collect the terms in 1055*k -
{ "pile_set_name": "DM Mathematics" }
hree letters picked without replacement from memmmmmemmmmmmuem. Give prob of sequence uum. 0 What is prob of sequence nne when three letters picked without replacement from {n: 2, p: 2, e: 7, b: 1}? 7/660 What is prob of sequence vqq when three letters picked without replacement from qqvqqv? 1/5 What is prob of sequence cfgc when four letters picked without replacement from dyfcdgcffdm? 1/1320 Four letters picked without replacement from vnnvooyyvvyyvyvlvv. Give prob of sequence onny. 1/3672 Four letters picked without replacement from aauvaauvu. What is prob of sequence vuvu? 1/252 What is prob of sequence coc when three letters picked without replacement from oioioicic? 1/84 Calculate prob of sequence jql when three letters picked without replacement from {l: 2, j: 2, q: 5}. 5/126 Three letters picked without replacement from ffgfffffffffffffufff. What is prob of sequence fgu? 1/380 Two letters picked without replacement from {z: 1, n: 1, x: 1, q: 1, y: 1}. Give prob of sequence xz. 1/20 What is prob of sequence oroe when four letters picked without replacement from {r: 2, o: 7, e: 2}? 7/330 Three letters picked without replacement from jjmjgjjjhjjjjjg. Give prob of sequence jhg. 11/1365 Four letters picked without replacement from ssswtwfswtbtst. What is prob of sequence swwf? 5/4004 Two letters picked without replacement from {t: 3, n: 3}. What is prob of sequence nt? 3/10 Calculate prob of sequence ui when two letters picked without replacement from iiiiuiiuuxuuuuiixi. 7/34 Calculate prob of sequence iz when two letters picked without replacement from {j: 3, z: 1, i: 1}. 1/20 Calculate prob of sequence nl when two letters picked without replacement from {j: 3, l: 1, v: 10, n: 4}. 2/153 What is prob of sequence uo when two letters picked without replacement from uumoubbumuuuuu? 9/182 Four letters picked without replacement from {y: 1, v: 1, o: 4, g: 5, l: 3}. What is prob of sequence vgll? 5/4004 Two letters picked without replacement from kpukkbkkpcbpcbpfcc. Give prob of sequence bb. 1/51 Three letters picked without replacement from {n: 1, v: 1, m: 1}. What is prob of sequence nnn? 0 Three letters picked without replacement from {i: 2, w: 7, o: 9, m: 1}. Give prob of sequence imi. 1/2907 Calculate prob of sequence kn when two letters picked without replacement from {n: 1, x: 4, k: 2, q: 4}. 1/55 What is prob of sequence dccc when four letters picked without replacement from {c: 3, d: 1}? 1/4 What is prob of sequence eeaa when four letters picked without replacement from ukuaeaeufcaa? 1/495 Two letters picked without replacement from {y: 2, d: 8, v: 6, k: 2}. What is prob of sequence ky? 2/153 Four letters picked without replacement from wxccnxcxhoow. What is prob of sequence occx? 1/330 Calculate prob of sequence su when two letters picked without replacement from {u: 2, h: 1, s: 1, q: 1}. 1/10 What is prob of sequence pa when two letters picked without replacement from apaau? 3/20 Three letters picked without replacement from {f: 2, u: 2, n: 9}. What is prob of sequence fnu? 3/143 Two letters picked without replacement from nnnbnnnbxnbbbbnnnn. Give prob of sequence xx. 0 Two letters picked without replacement from lrllrlrllllrr. Give prob of sequence ll. 14/39 What is prob of sequence ooo when three letters picked without replacement from {o: 5, h: 7}? 1/22 What is prob of sequence jtjj when four letters picked without replacement from {j: 5, m: 5, t: 1, s: 1}? 1/198 Three letters picked without replacement from {n: 7, x: 4}. What is prob of sequence nnx? 28/165 Three letters picked without replacement from {x: 7, k: 1}. What is prob of sequence kxx? 1/8 Calculate prob of sequence hdd when three letters picked without replacement from {h: 1, d: 3, g: 5, r: 7}. 1/560 Four letters picked without replacement from uzgxxxxtxz. Give prob of sequence xgxz. 1/126 Calculate prob of sequence rir when three letters picked without replacement from bzooooizrrboobz. 1/1365 Two letters picked without replacement from {u: 12, b: 7}. Give prob of sequence bb. 7/57 Calculate prob of sequence llll when four letters picked without replacement from lllllllll. 1 Three letters picked without replacement from osvosoooovsosaoro. What is prob of sequence avs? 1/510 What is prob of sequence fl when two letters picked without replacement from {f: 4, x: 2, l: 8}? 16/91 What is prob of sequence ja when two letters picked without replacement from aagaaaajajajaaaaa? 39/272 Calculate prob of sequence fh when two letters picked without replacement from {p: 1, z: 2, f: 2, h: 1, r: 6, w: 3}. 1/105 Calculate prob of sequence cys when three letters picked without replacement from scysscssscxsaacsascs. 5/684 What is prob of sequence tcyt when four letters picked without replacement from {j: 2, z: 1, c: 2, t: 3, a: 3, y: 3}? 3/2002 Calculate prob of sequence fj when two letters picked without replacement from tvjff. 1/10 Four letters picked without replacement from {n: 3, l: 12}. What is prob of sequence llnn? 11/455 Three letters picked without replacement from {u: 4, k: 2}. Give prob of sequence kku. 1/15 Four letters picked without replacement from sogsgsgggsosggggsg. Give prob of sequence sgoo. 1/612 Two letters picked without replacement from {h: 2, f: 2, c: 1}. What is prob of sequence hh? 1/10 Four letters picked without replacement from gnbgpbbgyoggybn. What is prob of sequence opyb? 1/4095 Calculate prob of sequence kakk when four letters picked without replacement from {a: 4, k: 6, b: 2}. 4/99 What is prob of sequence jjv when three letters picked without replacement from {t: 1, m: 2, q: 4, v: 1, j: 2, n: 2}? 1/660 Two letters picked without replacement from fff. What is prob of sequence ff? 1 Calculate prob of sequence ann when three letters picked without replacement from nwaaqaqnaq. 1/90 Two letters picked without replacement from ixuxxprxr. Give prob of sequence xu. 1/18 Calculate prob of sequence pwha when four letters picked without replacement from zhpazdazwhh. 1/1320 Two letters picked without replacement from btttbktbkbuttukttxu. What is prob of sequence ku? 1/38 Four letters picked without replacement from essmshhmymhssh. What is prob of sequence ysmm? 5/4004 Four letters picked without replacement from ayppapspappasppa. What is prob of sequence ppyp? 1/130 Three letters picked without replacement from hhxhxxhhhohhxxhch. Give prob of sequence chx. 5/408 Calculate prob of sequence etet when four letters picked without replacement from {t: 5, e: 2}. 1/21 Calculate prob of sequence cyyo when four letters picked without replacement from cccyocxoyycxcyoooxxy. 5/969 What is prob of sequence uu when two letters picked without replacement from tmfuut? 1/15 Calculate prob of sequence ig when two letters picked without replacement from {i: 2, g: 1}. 1/3 Two letters picked without replacement from {g: 3, p: 1}. Give prob of sequence gg. 1/2 What is prob of sequence jeej when four letters picked without replacement from {e: 3, t: 3, r: 2, j: 9}? 9/1190 Calculate prob of sequence gd when two letters picked without replacement from {m: 1, g: 2, d: 1}. 1/6 Four letters picked without replacement from ekksvsvkkkkkk. Give prob of sequence vekv. 2/2145 Three letters picked without replacement from uinydniidnus. Give prob of sequence nid. 3/220 What is prob of sequence ppp when three letters picked without replacement from cccpcccccppppc? 5/182 Calculate prob of sequence yh when two letters picked without replacement from {v: 6, y: 6, r: 3, h: 3}. 1/17 Two letters picked without replacement from qqrqroqtrrprr. Give prob of sequence ro. 1/26 What is prob of sequence ooq when three letters picked without replacement from ooooooooooooooooqoo? 1/19 Three letters picked without replacement from xuyyx. What is prob of sequence xuu? 0 Three letters picked without replacement from ffaiaaiiiaa. What is prob of sequence aff? 1/99 Calculate prob of sequence yq when two letters picked without replacement from {y: 2, x: 4, q: 6}. 1/11 Two letters picked without replacement from nmgnptv. What is prob of sequence mp? 1/42 Two letters picked without replacement from {j: 6, e: 4}. Give prob of sequence ee. 2/15 What is prob of sequence ozz when three letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
- 304. What is d(33)? 1181 Let l(u) = 3*u**3 + 32*u**2 + 17*u + 94. Determine l(-11). -214 Let u(p) = -3*p**3 + 190*p**2 - 585*p - 19883. Give u(58). 11 Let n(x) = 50*x + 9975. What is n(-199)? 25 Let m(r) = -19*r**3 + 303*r**2 + 7*r - 51. Determine m(16). -195 Let g(u) = -76959*u + 2231813. Determine g(29). 2 Let x(i) = -4009*i - 80144. Calculate x(-20). 36 Let i(f) = 15*f**3 + 1836*f**2 + 1836*f. Determine i(-1). -15 Let d(i) = -5192*i - 10392. Calculate d(-2). -8 Let i(j) = 9753*j - 526650. Calculate i(54). 12 Let g(u) = 228842*u + 4576846. Calculate g(-20). 6 Let i(w) = -5*w**2 + 158*w + 118. What is i(32)? 54 Let d(w) = -81313*w - 162631. Calculate d(-2). -5 Let o(v) = v**3 + 22*v**2 - 315*v + 46. Give o(-32). -114 Let t(m) = 2568*m + 12802. Calculate t(-5). -38 Let x(k) = -2*k**2 - 6708*k - 472581. Calculate x(-72). 27 Let a(i) = 5224*i - 146267. What is a(28)? 5 Let d(c) = -98*c**2 - 28893*c + 5023. Give d(-295). 8 Let h(s) = -583*s + 33759. Calculate h(58). -55 Let x(r) = 36*r**3 - 11126*r**2 + 615*r + 885. Calculate x(309). -42 Let k(r) = -2*r**2 - 15*r + 147672. Calculate k(268). 4 Let f(u) = 3*u**2 - 53774*u - 376592. Calculate f(-7). -27 Let k(r) = -r**3 + 222*r**2 + 1588*r + 113432. Determine k(231). 11 Let r(o) = -44*o**2 + 122*o + 2326. Determine r(-6). 10 Let r(q) = -4411*q + 273737. Determine r(62). 255 Let r(i) = 34*i**2 + i + 231. Calculate r(0). 231 Let a(q) = -47*q**3 - 380*q**2 - 14*q + 41. Determine a(-8). -103 Let i(y) = -15*y**2 + 680*y - 607. Determine i(1). 58 Let y(x) = -24*x**2 + 1276*x - 15628. Calculate y(34). 12 Let d(k) = 5724*k - 217767. Give d(38). -255 Let z(b) = 35*b**2 - 1051*b + 301. What is z(32)? 2509 Let h(i) = 623*i - 27458. Calculate h(36). -5030 Let b(j) = 10733*j - 42929. Determine b(4). 3 Let z(g) = g**2 + 3305*g - 9917. Give z(3). 7 Let h(y) = 7*y**2 + 1835*y + 11039. Give h(-6). 281 Let m(t) = -t**3 + 309*t**2 - 1811*t - 2230. What is m(303)? -109 Let d(q) = -q**3 + 52*q**2 + 8732*q - 40. Calculate d(-71). 31 Let k(z) = 2*z**3 - 2274*z**2 + 1312*z - 1491737. Calculate k(1137). 7 Let c(h) = -1089240*h - 15249367. Calculate c(-14). -7 Let g(o) = o**2 + 2467*o - 69881. What is g(28)? -21 Let v(o) = -o**2 - 248*o - 1594. Determine v(-7). 93 Let t(w) = -623039*w + 5607359. What is t(9)? 8 Let p(k) = k**3 + 41*k**2 - 339*k - 2691. What is p(-47)? -12 Let l(h) = h**2 + 395*h + 9901. Calculate l(-28). -375 Let x(d) = -2*d**3 + 28*d**2 - 84*d + 2266. Calculate x(16). -102 Let b(u) = -42*u + 1191. Give b(28). 15 Let u(b) = 41*b**3 - 5820*b**2 - 278*b - 792. What is u(142)? 60 Let g(s) = 47*s**3 + 3427*s**2 - 239*s + 214. Calculate g(-73). -3655 Let n(x) = x**3 - x**2 - 444. Give n(0). -444 Let y(s) = s**3 - 46*s**2 + 389*s - 3. What is y(0)? -3 Let l(s) = 13654*s + 860208. Determine l(-63). 6 Let q(c) = 62488*c + 376657. Determine q(-6). 1729 Let f(g) = g**3 - 5*g**2 - 19267*g + 57815. Determine f(3). -4 Let r(a) = 2*a**2 + 748*a + 7994. What is r(-11)? 8 Let l(p) = 2*p**2 + 240*p - 239. Give l(-120). -239 Let y(b) = -5*b**2 + 625*b + 25109. Determine y(157). -11 Let h(x) = 479*x**2 + 201669*x + 4188. Determine h(-421). -22 Let r(k) = -k**3 + 27*k**2 - 150*k - 121. What is r(15)? 329 Let m(q) = 2*q**3 + 9*q**2 - 149*q - 35. Calculate m(-11). 31 Let i(x) = x**3 + 21*x**2 - 70*x + 65. Give i(-22). 1121 Let b(y) = 2400*y + 132005. Calculate b(-55). 5 Let o(c) = 962*c - 395410. Calculate o(411). -28 Let b(p) = 37789*p + 793567. Calculate b(-21). -2 Let l(s) = 4*s**2 + 315*s + 2599. Determine l(-8). 335 Let c(g) = 302*g - 302. Calculate c(1). 0 Let v(o) = 80*o + 1725. Calculate v(-4). 1405 Let m(i) = -21*i**2 - 348*i - 1499. Calculate m(-5). -284 Let d(l) = -556*l - 2015. Calculate d(-3). -347 Let s(w) = 14*w**3 + 38*w**2 - 575*w - 1709. Calculate s(-3). -20 Let q(s) = 746*s - 178788. Determine q(240). 252 Let z(h) = -36*h**3 - 2*h**2 - 1049*h - 2092. Calculate z(-2). 286 Let j(b) = -b**2 - 10984*b + 1231561. Give j(111). 16 Let k(q) = -5525*q - 1265239. Give k(-229). -14 Let x(d) = 2*d**3 - 14*d**2 - 6653*d + 75520. Calculate x(55). 5 Let v(r) = r**3 + 109*r**2 + 2311*r - 733. What is v(-80)? -13 Let q(c) = -c**3 - 102*c**2 - 203*c - 315. Determine q(-100). -15 Let a(g) = -11313*g - 882417. Determine a(-78). -3 Let o(v) = -5*v**3 - 556*v**2 - 190*v - 8596. Give o(-111). 173 Let q(p) = 8*p - 1254. Give q(11). -1166 Let v(j) = -2*j**3 - 37*j**2 - 9*j + 166. Calculate v(-18). 4 Let b(w) = 447*w**3 + w**2 + 2*w. Give b(-1). -448 Let o(h) = -2*h**2 - 1518*h - 28205. Give o(-19). -85 Let l(o) = 75*o**3 + 2*o**2 + 195*o - 198. Calculate l(1). 74 Let f(x) = -x**3 - 23*x**2 + 227*x + 115. Calculate f(-30). -395 Let n(l) = -48*l - 3922. Determine n(-81). -34 Let x(m) = 17*m**2 - 7983*m - 3337. What is x(470)? -47 Let y(s) = -2*s**3 - 87*s**2 - 11*s + 252. Give y(9). -8352 Let n(h) = 20503*h - 224642. Give n(11). 891 Let x(f) = -2*f**3 - 9172*f**2 - 55081*f - 732. Calculate x(-6). -6 Let b(q) = q**2 + 7866*q - 141913. What is b(18)? -1 Let q(a) = 4*a**3 - 32*a**2 + 113*a - 1357. Give q(10). 573 Let h(g) = 1282*g + 2567. Calculate h(-2). 3 Let o(q) = 29737*q + 1605868. Determine o(-54). 70 Let u(n) = -12*n**2 - 130*n + 541. Calculate u(4). -171 Let c(s) = 53*s**2 - 122*s - 42. What is c(3)? 69 Let b(q) = -89*q**2 - 125*q + 351. Give b(3). -825 Let r(p) = 16541*p - 248096. Calculate r(15). 19 Let j(c) = c**2 + 15366*c + 199541. Determine j(-13). -48 Let q(f) = -255*f + 140747. Calculate q(552). -13 Let w(r) = 327*r + 4654. Give w(-14). 76 Let r(z) = z**3 + 15*z**2 + 2886*z + 52961. Calculate r(-18). 41 Let n(g) = -999*g + 76025. Calculate n(76). 101 Let i(p) = -2*p**3 - 12*p**2 - 473994*p - 2369921. Give i(-5). -1 Let b(d) = -d**3 + 223*d + 160. What is b(-13)? -542 Let x(g) = g**3 - 19*g**2 - 552*g + 10255. What is x(18)? -5 Let g(h) = -5*h**2 + 142*h + 3298. What is g(43)? 159 Let c(u) = -106*u - 14768. Calculate c(-166). 2828 Let s(k) = -3960*k**2 - 31672*k + 71. What is s(-8)? 7 Let r(b) = -1220433*b - 9. Give r(0). -9 Let i(c) = -9*c**2 - 567*c + 25051. Calculate i(-93). -59 Let w(y) = 22950*y - 481879. Calculate w(21). 71 Let a(s) = 6*s**2 - 153*s - 2018. Determine a(37). 535 Let y(n) = 6*n**2 - 1202*n - 6059. What is y(-5)? 101 Let m(s) = 1093*s - 326806. Calculate m(299). 1 Let x(w) = -2078*w + 18707. What is x(9)? 5 Let j(q) = -q**3 - 4*q**2 + 94*q + 277. What is j(-3)? -14 Let f(k) = -4*k**2 + 1724*k + 15. Calculate f(431). 15 Let f(g) = -638*g - 400019. Calculate f(-627). 7 Let d(l) = 19*l**2 + 1897*l + 42451. Calculate d(-66). 13 Let v(f) = 11*f**2 + 464*f + 95. Calculate v(-42). 11 Let t(z) = 40*z**3 + 521*z**2 - 3*z - 132. Determine t(-13). 76 Let f(g) = -g**3 + 105*g**2 + 678*g - 60461. Calculate f(106). 171 Let y(k) = -8*k**2 - 1125*k - 28996. Give y(-34). 6 Let m(f) = -f**2 + 11749*f + 47006. Determine m(-4). -6 Let g(v) = v**3 + 6*v**2 + 11482*v + 57364. Give g(-5). -21 Let w(t) = 7*t**2 - 1363*t - 4038. Calculate w(-3). 114 Let p(s) = 24076*s + 48153. What is p(-2)? 1 Let v(m) = -m**3 + 41*m**2 - 136*m + 726. Determine v(38). -110 Let t(w) = -54*w**2 - 402*w - 693. Determine t(-5). -33 Let j(s) = 53*s**2 + 139*s + 563. Give j(-4). 855 Let h(c) = -c**3 - 15*c**2 - 32*c + 135. Calculate h(-11). 3 Let l(a) = 3264*a + 2833154. What is l(-868)? 2 Let y(o) = -3*o**2 + 135*o + 12020. Determine y(90). -130 Let d(k) = -285*k - 70956. Calculate d(-249). 9 Let l(b) = 161*b**2 - 967*b - 6448. Give l(-4). -4 Let b(z) = -6*z**3 - 2643*z**2 - 1304*z + 7116. What is b(-440)? 76 Let w(n) = 37505*n - 223975. Calculate w(6). 1055 Let j(z) = 12969*z - 77817. Determine j(6). -3 Let x(i) = -29*i**2 - 2462*i + 185. Calculate x(-85). -70 Let x(l) = 28*l**2 - 95*l - 466. Calculate x(-5). 709 Let s(p) = -p**3 - 22*p**2 - 22*p + 81. What is s(-17)? -990 Let a(c) = -11*c**3 - 148*c**2 + 7*c + 195. Determine a(-14). 1273 Let s(x) = -4*x**3 + 2*x**2 - 61*x + 170. Calculate s(3). -103 Let g(l) = -161*l**2 + 1364*l - 9. What is g(8)? 599 Let l(z) = z**2 + 5407*z - 261973. Calculate l(48). -133 Let t(p) = -1752*p**2 + 13944*p + 604. Determine t(8). 28 Let u(z) = 3*z**2 + 43*z - 608. Give u(-20). -268 Let b(t) = -1225*t - 687. Determine b(0). -687 Let a(w) = -28*w**2 + 180*w + 263. Determine a(-4). -905 Let t(h) = 237417*h - 23740
{ "pile_set_name": "DM Mathematics" }
n two letters picked without replacement from {z: 2, k: 1}. 1/3 Two letters picked without replacement from uppppppuuuppup. What is prob of sequence up? 45/182 What is prob of sequence vvv when three letters picked without replacement from vrvrrvrvrb? 1/30 What is prob of sequence ge when two letters picked without replacement from {w: 1, e: 3, c: 1, g: 4, m: 1, x: 2}? 1/11 Two letters picked without replacement from {s: 1, w: 2, g: 2, v: 1, m: 2}. What is prob of sequence wv? 1/28 Calculate prob of sequence drd when three letters picked without replacement from ddddddddddddddddrd. 1/18 Calculate prob of sequence bybo when four letters picked without replacement from bzogzeooyzobyg. 2/3003 Calculate prob of sequence tqd when three letters picked without replacement from {t: 1, d: 11, r: 6, q: 1}. 11/5814 Three letters picked without replacement from avapyyyvyymayyyyvmy. Give prob of sequence mym. 10/2907 Three letters picked without replacement from {g: 3, p: 10, o: 2}. Give prob of sequence poo. 2/273 Three letters picked without replacement from {p: 2, v: 1, z: 7}. Give prob of sequence vpz. 7/360 Calculate prob of sequence gd when two letters picked without replacement from {g: 4, d: 7}. 14/55 Three letters picked without replacement from {z: 4, i: 2, s: 1, u: 3}. What is prob of sequence zzu? 1/20 Two letters picked without replacement from vzczxyb. What is prob of sequence cv? 1/42 Four letters picked without replacement from {c: 6, u: 4, b: 4}. Give prob of sequence bcuu. 12/1001 Calculate prob of sequence xnz when three letters picked without replacement from {j: 2, z: 8, x: 5, n: 4}. 80/2907 Two letters picked without replacement from mmmmmmmmm. What is prob of sequence mm? 1 Calculate prob of sequence xg when two letters picked without replacement from {h: 4, x: 1, r: 3, g: 5}. 5/156 Three letters picked without replacement from sseses. Give prob of sequence sse. 1/5 What is prob of sequence zj when two letters picked without replacement from {z: 4, j: 3}? 2/7 What is prob of sequence xxzy when four letters picked without replacement from zzzyxzyyzzyyzzy? 0 What is prob of sequence qgn when three letters picked without replacement from {g: 8, s: 2, n: 5, k: 2, q: 1}? 5/612 What is prob of sequence qq when two letters picked without replacement from qqqqqqhqqqqhq? 55/78 Four letters picked without replacement from vvkvkkvvvkkvkkvvvkvk. Give prob of sequence vvvv. 22/323 Four letters picked without replacement from {z: 11, g: 9}. Give prob of sequence gzgz. 22/323 Calculate prob of sequence eglx when four letters picked without replacement from gxebgguxggllguxbgeg. 1/969 Three letters picked without replacement from itwlillllilitvw. Give prob of sequence ttl. 2/455 What is prob of sequence xsns when four letters picked without replacement from {x: 4, s: 4, n: 11}? 11/1938 Calculate prob of sequence mqmq when four letters picked without replacement from {m: 4, t: 3, q: 5}. 2/99 Two letters picked without replacement from iiii. What is prob of sequence ii? 1 Four letters picked without replacement from geueugeguuueu. What is prob of sequence gugu? 3/286 What is prob of sequence vv when two letters picked without replacement from {e: 5, v: 8}? 14/39 Two letters picked without replacement from {n: 2, p: 1}. What is prob of sequence nn? 1/3 What is prob of sequence hw when two letters picked without replacement from {w: 3, q: 1, y: 5, h: 4}? 1/13 Two letters picked without replacement from {r: 2, b: 2, d: 7}. What is prob of sequence bb? 1/55 Calculate prob of sequence zvg when three letters picked without replacement from vvzvbvzgg. 2/63 Three letters picked without replacement from {k: 1, n: 1, z: 1, s: 4, t: 1}. What is prob of sequence ssz? 1/28 Three letters picked without replacement from fxsfqfn. What is prob of sequence ffs? 1/35 Calculate prob of sequence mmww when four letters picked without replacement from {m: 9, w: 7, o: 2}. 7/170 What is prob of sequence ygi when three letters picked without replacement from {i: 1, g: 1, u: 1, y: 2}? 1/30 Calculate prob of sequence tzji when four letters picked without replacement from jzjizt. 1/90 What is prob of sequence kd when two letters picked without replacement from qkkkkduq? 1/14 Three letters picked without replacement from {h: 1, l: 2}. Give prob of sequence lhl. 1/3 Two letters picked without replacement from {g: 3, c: 2, e: 1, d: 7, h: 1}. What is prob of sequence cg? 3/91 Four letters picked without replacement from hepdyyqyedppeh. What is prob of sequence qppy? 3/4004 Three letters picked without replacement from oouurnrkrakn. What is prob of sequence nko? 1/165 Four letters picked without replacement from {j: 3, u: 6, e: 6}. Give prob of sequence juej. 3/455 Calculate prob of sequence md when two letters picked without replacement from rgqmd. 1/20 Two letters picked without replacement from {o: 4, u: 1, q: 2, a: 3, x: 4}. Give prob of sequence qo. 4/91 Three letters picked without replacement from {g: 7, f: 2}. What is prob of sequence gff? 1/36 Two letters picked without replacement from gkkkkgggggkgk. Give prob of sequence kg. 7/26 Calculate prob of sequence aaaz when four letters picked without replacement from awwaawzz. 1/140 Two letters picked without replacement from {z: 4}. Give prob of sequence zz. 1 Three letters picked without replacement from {j: 9, i: 2, k: 7}. Give prob of sequence kjk. 21/272 Four letters picked without replacement from {h: 1, f: 5, i: 1, j: 2, s: 3}. Give prob of sequence jifh. 1/1188 Two letters picked without replacement from {f: 1, u: 1, j: 2, r: 1, t: 1, s: 2}. What is prob of sequence jj? 1/28 What is prob of sequence tttt when four letters picked without replacement from {f: 6, a: 2, t: 10}? 7/102 Calculate prob of sequence moo when three letters picked without replacement from rmggmoomrmgrmgm. 2/455 Three letters picked without replacement from tttttcwtttwtct. Give prob of sequence wcc. 1/546 Calculate prob of sequence pkq when three letters picked without replacement from kkkkkqpkkkk. 1/110 What is prob of sequence bbke when four letters picked without replacement from {b: 2, f: 1, e: 2, h: 4, k: 1, u: 2}? 1/2970 What is prob of sequence xx when two letters picked without replacement from xfxxxf? 2/5 Three letters picked without replacement from {m: 2, f: 4, l: 3}. What is prob of sequence fmf? 1/21 What is prob of sequence siim when four letters picked without replacement from ssiccmmsims? 1/330 Three letters picked without replacement from ptprrpxprrppx. What is prob of sequence xxp? 1/143 What is prob of sequence nnnn when four letters picked without replacement from nnnn? 1 Four letters picked without replacement from {d: 7, u: 6}. What is prob of sequence duud? 21/286 Calculate prob of sequence cc when two letters picked without replacement from fcffffffcfffcffcff. 2/51 Two letters picked without replacement from azuacsgu. What is prob of sequence ua? 1/14 What is prob of sequence leel when four letters picked without replacement from llllellle? 1/36 Four letters picked without replacement from rswwdbwbrswwrsrww. What is prob of sequence bwds? 1/1360 Three letters picked without replacement from idwwuuiid. Give prob of sequence wwd. 1/126 Calculate prob of sequence bd when two letters picked without replacement from kbkkkkkdbkbbkk. 2/91 What is prob of sequence fv when two letters picked without replacement from zzvcttftztvffvcw? 3/80 Four letters picked without replacement from qqwyqwwybbbqwy. Give prob of sequence bwqw. 6/1001 Two letters picked without replacement from {b: 8, e: 2, y: 8}. Give prob of sequence bb. 28/153 What is prob of sequence gj when two letters picked without replacement from {g: 2, p: 1, r: 1, y: 1, h: 1, j: 1}? 1/21 Four letters picked without replacement from totoooottjoj. Give prob of sequence ooto. 4/99 Three letters picked without replacement from dwzgwzjzzzzw. Give prob of sequence zzz. 1/11 Four letters picked without replacement from uffnfuufulnff. Give prob of sequence fulf. 1/143 Calculate prob of sequence chq when three letters picked without replacement from qfhfqcfqfh. 1/120 Four letters picked without replacement from rgrrrrg. Give prob of sequence grgr. 1/21 Three letters picked without rep
{ "pile_set_name": "DM Mathematics" }
+ 4*m for k. -2 Solve -4*b - 44 = 18*t, -3*t - 2*b - 434 = -400 for t. 2 Solve 145*h - 149*h = -56, -7*h + 88 = 2*i for i. -5 Solve 3*q - 15 = 0, 1180*r - 2*q = 1182*r - 22 for r. 6 Solve -3*h - 3 = 5*x, 108*x - 111*x - 4*h = -7 for x. -3 Solve -65*x + k = -69*x + 25, 0 = -4*x - 5*k + 45 for x. 5 Solve 11*k - 14*k = 4*z + 119, 5*z + 169 = 3*k for k. 3 Solve 0 = -4*q - 44, c = q - 11 + 20 for c. -2 Solve 4*g - 7519 = -3*u - 7565, 0 = 4*u + 11*g + 67 for u. -14 Solve 3*k = 40*u - 45*u + 56, 1 = 3*k - 5 for u. 10 Solve 2910*u - 12 = -3*w + 2916*u, -2*w - u = -13 for w. 6 Solve -4 = -4*x, 4*l = 3*x - x + 2*x + 8 for l. 3 Solve 2*v = -4*s + 12, -5*v + 5*s - 1606 = -1621 for v. 4 Solve 2*t + 3*l - 3 = 0, 26*t + 24 = 21*t + 3*l for t. -3 Solve -10 = -2*i + a, -11*i - 3*a - 15 = -12*i for i. 3 Solve -214*n = -217*n - 2*a + 10, 0 = 4*n - 8*a + 40 for n. 0 Solve 1 = -3*h - 5*a, -1 = -2*h - 6*a + 3*a for h. 8 Solve 3*q + 3*k + 456 = -2*q + 435, 5*k + 10 = 0 for q. -3 Solve -26*q - 4*b = -25*q - 12, -5*b + 8 = 3*q for q. -4 Solve a + 12 = 4*f + 26, 4*f = -5*a - 2 for f. -3 Solve -4*b = -5*f + 145 - 137, -5*f - 2*b = 4 for f. 0 Solve 9*s - 14*s + 6 = 3*x, 6 = -3*x - s for x. -3 Solve 3*t - 3*c = 24, -4 = 3*t + 195*c - 191*c for t. 4 Solve 4*t + 12 = 680*u - 684*u, 3*u = -t - 13 for t. 2 Solve 5*q - 6*v + 52 = 0, 0 = -4*q - v - 4*v - 22 for q. -8 Solve -5*x = 10, -o + 13 = -29*x + 24*x for o. 3 Solve 17*f - 54 = 2*b + 31*f, 55 = 5*b - 3*f for b. 8 Solve r = 3*q - 17, 4329*r - 4327*r = -3*q + 11 for r. -2 Solve 0 = 2*z - 4*d, -2*z - 35 = -44*d + 49*d - 62 for z. 6 Solve u = 3*x - 14, -6*u - 1823*x + 12 = -1825*x for u. 4 Solve 5*x - 5*o = -4*o - 12, 5*x = -8*o - 39 for x. -3 Solve t - 2*u = -4, 79*t - 16 = 83*t + 10*u for t. -4 Solve 3*l = -r - 21, -16698*r + 5*l + 1 = -16694*r for r. -6 Solve -5*n = -9*w + 4*w - 30, 3*n = 6*w + 21 for w. -1 Solve -6 - 9 = 5*s - 3*v - 10, -v - 3 = 3*s for s. -1 Solve 6*c = -u - 32, -2*u + 0*u - 16 = -12 for c. -5 Solve -i = -4*c - 12 + 34, 0 = -4*i - 5*c + 17 for i. -2 Solve 0 = -3*s - 6, 3*s + 44 - 59 = 3*c for c. -7 Solve 3*n = 2*z - 3, 6*z - 793*n = -792*n - 15 for z. -3 Solve -5 = -d + 33*x - 36*x, 0 = -3*d + 4*x + 15 for d. 5 Solve 2*s + 646*m - 29 = 641*m, 2*m = 7*s - 4 for s. 2 Solve 3*j - 11*r + 24 = -8*r, 0 = 5*j + 20*r - 35 for j. -5 Solve -19*k - v + 11 + 8 = -14*k, 3*v = -3 for k. 4 Solve 5*j - 40 = -25*p + 26*p, 0 = j - 7*j - p + 37 for j. 7 Solve -3*n + 6 = -3*t, 6 = n + 97*t - 94*t for n. 3 Solve 0 = 5*l, 753*d = 751*d - 6*l + l + 4 for d. 2 Solve w - 2*g = 2, 71072 = 3*w - 3*g + 71075 for w. -4 Solve o + 9 = -3*q, -5*q + 158 = -3*o + 103 for q. 2 Solve -2*r - 2*x + 6 = 0, 5*r + 4*x = -170 + 184 for r. 2 Solve -3*z - 57*t = -56*t + 7, -18*z - 117 = -9*t for z. -4 Solve 2*w = -2*l - 52, 6*w = 3*l - 52 - 68 for l. -4 Solve -b + 29 = -2*f, -41 = -726*b + 721*b + 2*f for b. 3 Solve -q + 4*g - 11 = 0, -325 = 5*q - 3*g - 338 for q. 5 Solve -5*y - 5 = -5*v, -4*y + 8*y = 2*v + 6 for v. 5 Solve 3*c - 57 + 63 = 0, 0 = -m - 5*c + 18 for m. 28 Solve -59 = -k + 5*f - 49, 0 = k - 2*f - 10 for k. 10 Solve 3*y = 2*f - 5, -1465*f + 1468*f = 14*y - 2 for f. 4 Solve 5*i = -3*o - 6, -14*o - 4*i = -6*o + 16 for o. -2 Solve 4*l + 2*z + 2 = 0, 0 = -l - 3*z + 37 - 15 for l. -5 Solve p - 183 + 163 = -7*d, 3*d - 5 = -4*p for d. 3 Solve -226*v + 225*v = -2*q + 8, q + 5*v = 3*q for q. 5 Solve -70*o - n = -72*o - 2*n - 17, 6*o + 18 = 8*n for o. -7 Solve -35*c - 3 = b - 34*c, -3*b - 5 = 2*c for b. 1 Solve 4*m = -6*w - 42, -90*w + 95*w - 5*m - 15 = 0 for w. -3 Solve 5*m = -3*o + 2, 5*m - 11*o = -16*o for m. 1 Solve 0*r + 3*r - 2*u = 5, -r + 19387*u - 19392*u + 13 = 0 for r. 3 Solve 4*h - 5*r + 35 = 0, -h - 654*r + 651*r + 4 = 0 for h. -5 Solve -13*y = -12*y + 3, 56 = -17*i + 4*y for i. -4 Solve -2*k + 2*g = 24, 4*k + 151*g + 34 = 153*g for k. -5 Solve 16*q - 2*w = -10, 3*w - 15 = -26*q + 27*q for q. 0 Solve 2434*c - 2*n = 2437*c + 12, 7*n + 20 = -5*c for c. -4 Solve 0 = 6*j - 10*j, -3*j = -t + 3 for t. 3 Solve 382*c - 385*c = -7*l - 71, -4*c = -4*l - 52 for c. 5 Solve -3*j + 30 = 81*y - 78*y, 4*y + j - 43 = 0 for y. 11 Solve 0 = 5*o + 5, 41 = 6*z - 5*o + 6 for z. 5 Solve y = z + 1, -4*z + 49 = 3*y + 60 for z. -2 Solve -4*u + 12 = 5*q - 7*q, -q - 12 = -5*u for q. -2 Solve 2*m + 160 = -3*z + 176, 6*z - 16 = 4*m for z. 4 Solve 0 = -2*a + 5*q - 31, -3*q + 5 - 2 = 4*a for a. -3 Solve 6*r - 11 = -3*k + 16, 3*k - 6*r - 34 = -67 for k. -1 Solve 0 = 3*y + 4*v + 21, 21 = -15*y + 13*y - 5*v for y. -3 Solve -18 = 2*x + 11*t, -3*x - x + 5*t = -3 - 15 for x. 2 Solve 587*b + 4*w - 35 = 584*b, 0 = -4*b + 3*w + 55 for b. 13 Solve 7*r = 2*y - 58, 3*y + 13 + 24 = -5*r for y. 1 Solve 3*k + 2*x - 24 = -k, -5*x + 25 = 3*k for k. 5 Solve 2*p - 3 = -4*s - 17, -5*s + 8 = -6*p for s. -2 Solve 2*b = -5*a - 18, -3*b + 767*a - 2 = 762*a for b. -4 Solve 11*t + 24 = -4*v + 7*t, -9 = -3*t for v. -9 Solve -4*w = 5*a - 4 - 4, 12 = 2*a - 32*w + 38*w for a. 0 Solve 87*g = 3*y + 84*g, -3 = 3*y - 4*g for y. 3 Solve 2*p - 8*s - 11 = -11*s, -4*s = -2*p - 24 for p. -2 Solve 15*d - 391*s + 396*s - 50 = 0, 2*d = 4*s - 12 for d. 2 Solve 2*a + 5*t = 4*t - 7, 9*a = -t - 28 for a. -3 Solve -3*o - 5*h = -14 + 1, -3*h + 6 = 0 for o. 1 Solve -2*g - 62*w = -67*w - 6, -4*g - 16 = 4*w for g. -2 Solve k = -3*w + 1, 4*w + 12 = 4*k + 24 for w. 1 Solve 2*j - 6 = 3*p - j, p - 6*j = -27 for p. 3 Solve 3*k = -42*s + 96, 2*s - 2*k + 55 - 51 = 0 for s. 2 Solve 0 = -2*t + 3*o + 11, 4*o = 99*t - 95*t - 16 for t. 1 Solve -49*b + 50*b = -5*y + 25, 4*y - 20 = b for y. 5 Solve -l = 4*m - 71, -5*m + 896 = -5*l + 801 for l. -1 Solve 5*y = 18*r - 19*r - 33, r = 14*y + 100 for y. -7 Solve -2*g = -5*s + 45 - 35, -s + 3*g - 11 = 0 for s. 4 Solve 4*p - d = -10, 3*p = -4*d + 477 - 475 for p. -2 Solve 5*z = -4*m, -3*m = 5*z + 8333 - 8338 for m. -5 Solve 2*b + 2*j - 12 = -10, 37 = 9*b - 0*j - 5*j for b. 3 Solve -18 = -2*g - 14*q + 15*q, -2*g + 5*q + 26 = 0 for g. 8 Solve 43 = 4*x + 5*y - 19 + 23, -3*y = -9 for x. 6 Solve j = -o + 2, -790 + 788 = 5*o - j for o. 0 Solve 0 = 4*t - 7*k + 2, 9*t + 16 = 2*k - 16 for t. -4 Solve 2*z - q + 22 = 0, 901*q + 78 = -7*z + 905*q for z. -10 Solve -10 = -5*v + 6*d, -72*v = -70*v - 5*d - 4 for v. 2 Solve 0 = -2*s + 4*j + 14, -10*s + 15*s - 2*j = 27 for s. 5 Solve 4*k + 195 = -2*r + 189, 6 = 3*k - 2*r for k. 0 Solve -4*m = -j + 18, -4*j = 2*m - 2*j + 14 for m. -5 Solve 2*g = 3*a - 23, 1580*a = 1583*a - g - 19 for a. 5 Solve -2*t = 4*q - 20 + 28, -q + 8 = 3*t for t. 4 Solve 3*n + 3 = 0, 0 = -452*j + 456*j - 2*n - 34 for j. 8 Solve i = -2*x - 8, i - 4555 = 3*x - 4538 for x. -5 Solve -4*v + 3*s = 24, 4*v - 12*s + 24 = -11*s for v. -6 Solve 19 = 5*n - c, -5*c - 53 = -51*n + 47*n for n. 2 Solve i - 14 = 4*k, 653*i - 3*k - 4 = 649*i for i. -2 Solve 2*d - 15 = n, -578*n + 576*n = -12*d + 78 for n. -3 Solve -2*q + n + 27 = 0, -2*n = 20*q - 19*q + 69 for q. -3 Solve 5*a - 2*v - 91489 = -91475, -12 = -3*a + 3*v for a. 2 Solve 5*a = -l - 60, 625 - 657 = 4*a + 4*l for a. -13 Solve -d = 5*b + 25, b - 41*d + 5 = -42*d for b. -5 Solve w + 11 = -5*x, x + 99 - 112 = -4*w for w. 4 Solve 0*w + 19 = -w + 4*d, 0 = -5*w - 5*d + 5 for w. -3 Solve -281 + 263 = 2*t + 3*l, 0 = t + 16*l + 38 for t. -6 Solve 3*c + 4*d - 20 = 0, 9*d = -4*c + 5*d + 24 for c. 4 Solve 3*x + 17 = 15*z - 11*z, 3*x = 2*z - 13 for z. 2 Solve -g - 7*d + 25 + 3 = 0, 5*d = -5*g + 20 for g. 0 Solve 23*o - h + 5 = 22*o, -2*o - 2*h + 6 = 0 for o. -1 Solve 0 = 9*u - 4*c + 85, 5*u + 26 + 22 = 3*c for u. -9 Solve -69*t = -s - 68*t + 2, 0 = 3*s - t + 2 for s. -2 Solve -636*j + 637*j - 2*f = -22, 24 = -2*j + 2*f for j. -2 Solve 37 = -3*j + 5*z, 4*j - 14*z + 6 = -16*z for j. -4 Solve -3*d = 5*s - 93 + 158, 142 = -10*d + 2*s for d. -15 Solve 22*u - 18*u - 7 = -3*b, 3*b - 8 = -5*u for b. 1 Solve 0 = 3*l - 3*u, -15*l + 40 = -12*l + 5*u for l. 5 Solve 2*i - 70 = -3*s, 5*i + 65 = 5*s - 2*i for s. 20 Solve 319*s + 1256 = -10*x + 14*x, -s = 2*x + 14 for x. -5 Solve 5*q + 1 = -2*x, -1388*q + 1386*q = -3*x - 11 for x. -3 Solve 12*b + 3*y - 45 = 0, -15 = b - 13468*y + 13472*y for b. 5 Solve 5*k + 0*s - 5*s + 7*s = 72, 4 = 4*s for k. 14 Solve 0 = -f + 9, -4*p + 441*f - 446*f + 65 = 0 for p. 5 Solve -99*k - 72 = -2*q + 35, -4*k + 16 = 5*q for k. -1 Solve
{ "pile_set_name": "DM Mathematics" }
et r = i + j. Is r prime? True Suppose 10*r + 4540 = 8*r. Is r/(-6) - 34/(-51) prime? True Suppose -8*h + 88925 = -95867. Is h a composite number? False Suppose 4*t - 25 = 3*c, 5*c - 3 + 5 = t. Let m = -9 - t. Is (-46)/(-1)*(-24)/m a composite number? True Let k(q) = 6*q**2 + 3 + 2*q**2 - 24*q + 30*q. Is k(-7) composite? False Is 8062266/553 - (-2)/(-14) prime? False Let s be -3*30270/(-117) + 8/(-52). Suppose 3*y = -4*i + s, -3*y + 187 - 1130 = -5*i. Is i a prime number? True Let k(v) be the second derivative of -21*v**5/20 + v**4/3 + 2*v**3/3 + 3*v**2/2 + 8*v. Is k(-2) prime? True Let l be (-2 + (4 - 1))*-3. Let c be l*1 - (2 + -8). Is c + -4 + 294/2 a composite number? True Suppose -2*j + 0*a - 3*a = -10818, 5*j - 5*a - 26995 = 0. Is j a composite number? True Let p = 23107 + 1376. Is p prime? False Suppose 7*l - 38029 = -10*l. Is l composite? False Suppose o = 3*d - 270307, 450493 = 30*d - 25*d + 3*o. Is d prime? False Suppose 10*s = -7*s + 17. Let q = 2 + 2. Is (s - -90)*q/4 prime? False Let f = 311 + 989. Suppose -5*x + f = 3*s, -s - 4*s = -3*x + 746. Is x composite? False Suppose 5*n - 6*c + 20 = -c, -4*n + c - 4 = 0. Suppose 3*r - r - 1028 = n. Is r prime? False Let u = 95 - 93. Suppose -l = -u*b + 3*l + 966, 4*b = l + 1939. Is b a prime number? False Let y(n) = 9*n**2 + 11*n - 93. Is y(-14) a prime number? False Let a(r) = -5*r + 3*r**3 + 4*r**3 - 12 + 5*r**3 - 11*r**3 + 15*r**2. Is a(-13) prime? False Let c = -14 + 18. Suppose 0 = -3*u + c*f + 516, 0 = 2*u - 3*u + f + 172. Let n = u - 119. Is n prime? True Let z(s) = 2*s**2 + 7*s. Let u be (-3)/15 - (-3)/15. Suppose u = p - 4*p - 15. Is z(p) prime? False Suppose -91*t + 135199 + 409072 = 0. Is t prime? True Let k(q) = q**3 - 6*q**2 - 13*q - 5. Suppose 0 = 3*h - 8 + 5, -4*s = -h - 39. Is k(s) a composite number? True Suppose 4287 = 19*t - 18*t + 5*a, 4307 = t - 5*a. Is t a composite number? False Is -1 + 5629 + (48 - 49) prime? False Let r(j) be the first derivative of -2*j**2 - 18*j + 310. Let l = -37 + 21. Is r(l) composite? True Let z(c) = -c**3 + 15*c**2 + 23*c + 7. Let t = -2 - -18. Is z(t) prime? False Let t(p) be the second derivative of 110*p**3/3 - 13*p**2/2 - 42*p. Is t(5) a composite number? False Let v(k) = 3*k**3 - 19*k**2 - 28*k - 10. Let b(o) = -2*o**3 + 18*o**2 + 27*o + 9. Let u(j) = -5*b(j) - 4*v(j). Is u(-9) composite? True Suppose 5*r = d - 23, -r = 3*d - 72 - 77. Let x(i) = -13*i + 5. Let u be x(6). Let o = d - u. Is o prime? False Suppose -4*d - 2*s + s = -7896, -3*s + 12 = 0. Is d prime? True Suppose 22*q + 1620064 = 54*q. Is q a composite number? False Is (-5 - 1*-18531) + -7 prime? False Let r(h) = h + 4. Let p be r(-7). Is (20/5 + p)*211 composite? False Let q = -3 + -19. Is 4/q - (1 + (-5880)/33) a composite number? True Let n(l) = 330*l**2 + 7*l - 8. Is n(3) a composite number? True Suppose 5*a - 9340 = -5*h, -4*a - 3*h + 11228 = 3754. Suppose 1062 + 4828 = 5*m + 5*n, 3535 = 3*m + 2*n. Let p = a - m. Is p a composite number? False Let k(u) = -57*u**3 - 5*u**2 + 21*u + 107. Is k(-8) a composite number? True Is 1*1319 + 0/3 prime? True Let l = 42 + -40. Suppose -l*m = 2*c - m - 174, -3*c + 4*m = -261. Is c a composite number? True Suppose 0 = 3*p - 5*p - 3*q - 3701, 0 = p - q + 1838. Let i = -936 - p. Is i a composite number? False Let g(l) be the second derivative of l**7/2520 - l**6/144 - 17*l**5/120 - l**4/2 + l. Let i(x) be the third derivative of g(x). Is i(8) prime? True Is 7/((-63)/(-15219)) + 3 + -1 composite? False Suppose -246*r = -245*r - 13711. Is r composite? False Let g = 9300 - -109043. Is g prime? True Suppose 35833 = 20*g - 186447. Is g a composite number? True Let t(h) = h**3 + 2*h**2 + 2. Let s = 12 + -14. Let o be t(s). Suppose 136 = u - 3*m, -5*u + o*u + 366 = 5*m. Is u prime? True Suppose 116 = 2*m - m. Let t be (-157 + -9)*(-1)/(-2). Let v = t + m. Is v a composite number? True Let d = -10 - -13. Suppose o - 3 = -4*w, -d*o - 3*w - 2 = 2*o. Let a = 82 - o. Is a prime? True Let k(t) = 176*t**2 + 9*t - 24. Is k(5) prime? True Suppose -7*n = -3*n + 84. Let o = n + 25. Is 510/9 + o/3 a composite number? True Let n = -17570 - -30271. Is n a composite number? True Suppose -3*h + 6 = 0, -5*y + 3*h + 47 = -2. Suppose 0 = 5*k - 4*j + 2*j - 28, -y = -k - 5*j. Is (8/k - 1)*1119 prime? True Is (-132)/(-66) - (-2 + 4 - 8903) composite? True Let k be (-4)/22 - (-20)/110. Let t = 7 + -2. Suppose 2*y - 127 = -p + y, t*y - 20 = k. Is p composite? True Let z(j) = j**2 + 12*j + 13. Let q be z(-11). Suppose -3*o + 3*t = -q*t - 30115, -5*o + 2*t = -50198. Is (-2)/7 + o/56 a prime number? True Let k = -281 - -415. Suppose 5*d + k = 459. Is d a prime number? False Let x(u) = -u**2 - 8*u - 11. Let d be x(-5). Suppose 5760 = t + d*t - z, 3*z = -15. Let q = t - 814. Is q a prime number? True Let w = -184 - -141. Let y be (-90)/(-4)*(-72)/(-3). Let z = y - w. Is z a prime number? False Suppose 4*y = -4*j + 12 - 0, -3 = 2*y - j. Suppose 4*u + 3*s - 2174 = y, 0 = -2*u - 3*s - 0*s + 1084. Is u composite? True Let q be ((-24)/15)/4 + (-12)/(-5). Suppose a - 218 = 3*b + 69, 3*a + q*b = 828. Is a composite? True Suppose -12*g + 15*g = 1671. Is g prime? True Let w = 892 - 511. Is w composite? True Let h(y) = y**3 + 9*y**2 + 8*y + 5. Let i be h(-8). Suppose n + i = x, n + 3 - 2 = 0. Suppose 5*j = -x*c + 1662, 1385 = 2*c + 3*j + 553. Is c prime? False Let i(g) = 13*g**2 + 9*g - 10. Let w be i(8). Suppose w = 4*y + t, -3*y = -y - t - 444. Is y a composite number? False Let r be (24/(-18))/((-4)/174). Let t be (-2)/5 + (-894)/(-10). Let a = t - r. Is a prime? True Let t(s) = -s**3 - 7*s**2 - s - 5. Let m be t(-7). Suppose -j = -d - 3103, 0 = m*d - 4*j + 5*j + 6203. Is ((-18)/(-27))/((-4)/d) composite? True Let f be (-10)/(-4) + (-2)/(-4). Suppose -f*y + 236 = y. Suppose -u + 2*u - y = 0. Is u a composite number? False Let m = 2 - -9. Let n(p) = 7*p + 34 - 10*p**2 + 3*p**3 - 2*p**3 - 21. Is n(m) a composite number? False Suppose 0 = -3*q + 409 + 443. Suppose -x + 9 = -q. Is x composite? False Let f(m) = -36*m**3 - 2*m**2 + m + 2. Let l be (-152)/57 + (-2)/6. Is f(l) composite? False Is 70/(-42) + 2 - (-1478)/3 composite? True Let i = -63 + 66. Suppose 2579 = 2*l - x, 2*x + 3858 = i*l - 3*x. Is l composite? False Suppose -7*h + 1 = 1. Suppose 2*j = 4*r - 3770, h*r + 3*j = -5*r + 4718. Is r a composite number? True Let l = -651 + 2446. Is l composite? True Let g = -12 + 15. Suppose g*c + 5*n - 25 = c, -40 = -3*c - 5*n. Is c a prime number? False Let v(y) = -y**3 - y**2 - 19*y - 17. Is v(-11) a prime number? False Let u(c) = 101*c**3 + 3*c**2 - 15*c + 36. Is u(7) a prime number? True Let k(p) = 9*p**2 - 8 - 18*p**2 + 12*p**2 - p**3 + p. Let q be k(-6). Suppose -4*h = -q + 62. Is h a prime number? False Suppose -9218 = -3*b + 7921. Is b a composite number? True Suppose 0 = 5*x - q - 26, 0 = 3*x + x + 3*q - 17. Suppose 0 = -2*d - 3*v + 279 - 19, 0 = -x*d + 3*v + 671. Is d a prime number? False Suppose 5*h = 2*r + 7, 5*r = -5*h + 55 + 15. Suppose -5*w - r + 34 = 0. Suppose 3*g + 181 = 5*n, g - 21 = w*n - 198. Is n a prime number? False Suppose 7397 = 23*g - 177086. Is g prime? False Suppose 226 + 14 = -4*d. Let o = -29 + 18. Let a = o - d. Is a a prime number? False Let v = -873 + 1594. Is v composite? True Let n(u) = -3*u + 27. Let z be n(10). Let l(t) = -101*t - 8. Is l(z) prime? False Let b(g) = 484*g + 65. Let x(l) = 727*l + 97. Let u(t) = 8*b(t) - 5*x(t). Is u(6) a composite number? True Suppose 29*u = 24*u + 65. Let s = 36 - u. Is s a composite number? False Suppose 12*l + 2 = 11*l, -2*l - 19828 = 2*g. Let k = 13967 + g. Is k a composite number? True Suppose -3*q - 20 = -2*t - 7*q, -5*q = 2*t - 25. Let u be (1 - t/3)*6. Is 55 - -1 - u/2 prime? True Suppose 5*t = 4*v - 6375, 5*v - 4*t - 8015 = -7*t. Suppose -4*n = -4*s - v, 5*s + 333 - 1888 = -4*n. Is n prime? False Suppose 16 = -3*h + 5*i + 4879, -5*i + 6484 = 4*h. Is h a composite number? False Let c(b) be the second derivative of 1/3*b**3 - 3/2*b**2 - 12*b + 9/10*b**5 - 1/3*b**4 + 0. Is c(3) a composite number? True Let f(l) = -10*l**2 + 2 - l + 11*l**2 + 4*l - 755*l**3. Is f(-1) a composite number? True Suppose -146 = -5*k + 204. Suppose k = -8*y + 3*y. Let x(a) = a**2 - 7*a - 7. Is x(y) a prime number? False Suppose 0
{ "pile_set_name": "DM Mathematics" }
(l). 6*l + 2 Let z(o) = -4*o**2. Suppose -n - 14*v + 17*v = -23, -6 = 2*v. Suppose -6 = -2*w, f - 5*w + n - 2 = 0. Let t(i) = 7*i**2. Calculate f*t(m) + 7*z(m). -7*m**2 Let j(i) = i**3 + 2*i - 3. Let r(z) = -14*z**3 - 24*z - 4108. What is 12*j(p) + r(p)? -2*p**3 - 4144 Let t(j) = -j**3 + j**2 - j + 1. Let u be 1/5 + 420/525. Let g(d) = -7*d**3 + 2*d**2 - 4*d + 4. Determine u*g(k) - 4*t(k). -3*k**3 - 2*k**2 Let w(d) be the first derivative of -d**3 + d**2 - d + 180876. Let z(i) = 1 + 0*i - 2*i + 5*i**2 - 2*i. What is 7*w(m) + 4*z(m)? -m**2 - 2*m - 3 Let y(q) = 2*q. Let a be ((-6)/27)/(7/(-63)). Let v(u) = -558*u + 1155*u - 595*u. Give a*v(z) - 3*y(z). -2*z Let b(a) = 1186*a**2 + 7*a + 210. Let y(i) = -3560*i**2 - 20*i - 595. What is 17*b(r) + 6*y(r)? -1198*r**2 - r Let t(j) = 403*j**3 + 100*j**2 + 44*j + 5. Let r(i) = -101*i**3 - 23*i**2 - 11*i - 1. Determine -13*r(o) - 3*t(o). 104*o**3 - o**2 + 11*o - 2 Let z(n) = 67*n + 13. Let h(g) = -21 + 11 + 4 + 9 + 33*g + 3. What is 13*h(m) - 6*z(m)? 27*m Let p(i) = -4*i**3 + 202*i**2 + 41*i - 2. Let a(h) = -11*h**3 + 607*h**2 + 116*h - 6. What is 6*a(z) - 17*p(z)? 2*z**3 + 208*z**2 - z - 2 Let q(a) = -a**2 - 1. Let y = -16752 + 16751. Let s(f) = -2*f**2 + f + 5. What is y*s(n) - 5*q(n)? 7*n**2 - n Let o(u) be the third derivative of 11/6*u**3 + 1 + 0*u - 5/24*u**4 - u**2. Let f(h) = -2*h + 4. Give -17*f(c) + 6*o(c). 4*c - 2 Let b(q) = 146*q + 87. Let z(x) = -50*x - 29. Give 5*b(g) + 16*z(g). -70*g - 29 Suppose t = 4*p - 18, 72*p - 74*p + 16 = 3*t. Let b(k) = -15*k**2 - 5. Suppose v = 6*v - 35. Let a(f) = 23*f**2 + 7. Calculate p*a(s) + v*b(s). 10*s**2 Let x(o) = 5*o. Let d(u) = -u. Suppose 0 = -2*m + 3*c + 8, -11*m - c + 34 = -8*m. Suppose -27 = m*j + 33. What is j*d(f) - x(f)? f Let d(a) = -a + 1. Suppose 30*m + 2 = 41*m - 3*q, -4*m = 4*q - 72. Let i(y) = y - 3. Suppose 0 = -l + 4*l - 3. Give l*i(h) + m*d(h). -3*h + 1 Let y(p) be the third derivative of -p**6/15 - 2*p**5/15 - p**4/2 + 9*p**2 - 65. Let u(m) = -7*m**3 - 7*m**2 - 11*m. What is 6*u(o) - 5*y(o)? -2*o**3 - 2*o**2 - 6*o Let l(n) = -17*n + 17*n + 7*n**2 - 5*n**2 - 2. Let i(h) = -16*h**2 + 17. Let g = 4 + -55. Calculate g*l(x) - 6*i(x). -6*x**2 Let j(c) = -c**3 + 5*c**2 - 5*c - 5. Let h(a) be the first derivative of -2*a**2 + 4/3*a**3 - 97 - 4*a. What is -5*h(o) + 4*j(o)? -4*o**3 Let f(i) = -68*i + 511. Let a(m) = 27*m - 257. Give -5*a(z) - 2*f(z). z + 263 Let l(g) = 3*g + 1. Let f(h) = 5*h - 46 + 101 - 54. Suppose -i + 7 = 2. Suppose 0 = -0*k + i*k + 20. What is k*f(d) + 7*l(d)? d + 3 Let z be -11 - (15 + -24 + 61). Let i(h) = -90*h. Let o(c) = 9*c. Determine z*o(n) - 6*i(n). -27*n Let d(k) = -1330*k + 21. Let y(g) = -4641*g + 75. What is 18*d(i) - 5*y(i)? -735*i + 3 Let o(h) = -6262504*h**2 - 2440*h + 1220. Let u(v) = 15387*v**2 + 6*v - 3. Determine 3*o(b) + 1220*u(b). -15372*b**2 Let n(z) = 18*z**3 + 21*z**2 + 6*z - 165. Let t(m) = 8*m**3 + 10*m**2 + 3*m - 76. Give 6*n(b) - 13*t(b). 4*b**3 - 4*b**2 - 3*b - 2 Let a(d) = 7*d**3 + 441*d**2 - 11*d - 6. Let h(s) = -2*s**3 - 147*s**2 + 4*s + 2. What is 4*a(c) + 11*h(c)? 6*c**3 + 147*c**2 - 2 Let b(n) = 6*n + 13. Let t(s) = -s - 1. Let d = -200 + 199. Give d*b(p) - 5*t(p). -p - 8 Let o(w) = -w**2 - 3*w + 9. Let g(f) = -21*f + 165. Let b(q) = 8*q - 62. Let y(s) = 8*b(s) + 3*g(s). What is -o(d) - 5*y(d)? d**2 - 2*d - 4 Let i(j) = 44*j**2 - 189*j + 31. Let g(l) = -44*l**2 + 208*l - 32. What is -10*g(z) - 11*i(z)? -44*z**2 - z - 21 Let h(j) = 0 + 8 - 3 + 15*j**2. Let l(d) = 195*d**2 - 141. Let f(p) = -34*p**2 + 25. Let i(a) = -17*f(a) - 3*l(a). Determine 2*h(m) + 5*i(m). -5*m**2 Let j(m) = -3*m + 6. Let s(b) = 31*b - 25. Let g(y) = 6*y - 5. Let f(t) = -11*g(t) + 2*s(t). Let h = 3037 + -3042. Give h*j(k) + 6*f(k). -9*k Let w(i) = i**2 + 3*i + 1. Let z(u) = -7141*u**2 + 15*u + 4. Give -5*w(s) + z(s). -7146*s**2 - 1 Let l(g) = 1454*g - 13. Let t(s) = -485*s + 5. Give 3*l(f) + 8*t(f). 482*f + 1 Let k(f) = 25*f + 3214. Let d(n) = -56*n - 6429. What is -4*d(y) - 9*k(y)? -y - 3210 Let r(i) = -i**3 + 6*i**2 + 318*i. Let g(u) = -u**3 + 11*u**2 + 631*u. What is -6*g(y) + 11*r(y)? -5*y**3 - 288*y Let w(a) = -a**3 + 625*a**2 + 2*a - 8. Let p(y) = 2*y**3 - 1876*y**2 - 5*y + 22. Calculate -4*p(d) - 11*w(d). 3*d**3 + 629*d**2 - 2*d Let h(r) = 172725*r + 225. Let m(s) = -3084*s - 4. Give -4*h(l) - 225*m(l). 3000*l Let q(h) = -30*h**2 - 32*h - 92. Let k(n) = 90*n**2 + 88*n + 275. Give 4*k(y) + 11*q(y). 30*y**2 + 88 Let o(p) = -30*p - 21. Let b(y) = -3*y - 2. Suppose -2937 = 114*h + 4245. Give h*b(g) + 6*o(g). 9*g Let v(u) = -u**3 - 3*u**2 - u + 1. Suppose 91*i + 205 - 23 = 0. Let l(q) = 2*q**2 + q - 1. Determine i*v(x) - 3*l(x). 2*x**3 - x + 1 Let d(i) = 23*i**2 + 12*i - 2. Let a(f) = -7*f. Let j(n) = -2*a(n) - d(n). Let h(k) = 253*k**2 - 23*k - 23. Determine -2*h(l) - 23*j(l). 23*l**2 Let j(z) = -3081078*z + 3344. Let a(m) = -9211*m + 10. Determine -1672*a(q) + 5*j(q). -4598*q Let c(p) = 9*p + 6. Let x(n) be the third derivative of 1/6*n**3 + 1/24*n**4 + 0 - 3*n + 8*n**2. Calculate -c(r) + 6*x(r). -3*r Let h(v) = v**3 + 6*v**2. Let l(y) be the third derivative of -y**5/60 + 960*y**2 - 2*y. What is -2*h(u) - 14*l(u)? -2*u**3 + 2*u**2 Let h(f) = 1646 + 329*f - 1649 - 332*f. Let s(d) = -1. What is h(a) - 3*s(a)? -3*a Let p = -97 + 98. Let n(i) = -23*i**2 + p + 4*i**2 + 16*i**2 + 1. Let z(x) = -2*x**2 + x + 3. Give 3*n(j) - 2*z(j). -5*j**2 - 2*j Let w(d) = -d**2 - d + 1. Let g(k) be the second derivative of 5*k**4/2 + 7*k**3/6 - 5*k**2/2 - k - 2072. Give g(r) + 5*w(r). 25*r**2 + 2*r Suppose 69*g - 75*g = -30. Let q(i) = -5*i**2 - 3*i - 8. Let a(l) = -9*l**2 - 5*l - 17. Give g*q(t) - 3*a(t). 2*t**2 + 11 Let q(g) = -15*g**3 - 2*g**2 - 9*g + 11. Let v(j) = -1381 + j**2 + 278*j**3 - 270*j**3 + 5*j + 1375. Determine -6*q(k) - 11*v(k). 2*k**3 + k**2 - k Let w(o) = -3*o**2 - 69. Let m(g) = -2*g - 19. Let q(i) = -3*m(i) + w(i). Let n(j) = -j + 1. What is 6*n(z) + q(z)? -3*z**2 - 6 Let b(y) = -45*y + 20. Let u(r) = -109*r + 43. Determine 14*b(v) - 6*u(v). 24*v + 22 Let i be ((180/(-16))/(-5))/((-246)/(-328)). Let w(h) be the second derivative of -7*h**3/3 - 7*h**2 - h. Let t(d) = -5*d - 5. Give i*w(z) - 8*t(z). -2*z - 2 Let b(i) = -3*i**3 + 5*i**2 + 5*i - 8. Suppose 1820 = 226*v - 219*v. Suppose m - v = -51*m. Let q(g) = -2*g**3 + 4*g**2 + 4*g - 7. Give m*q(k) - 4*b(k). 2*k**3 - 3 Let b(g) be the first derivative of g**2 + 2*g + 244996. Let k(u) = -2*u - 3. Suppose -2*h + 4*w + 12 = 0, 7 = 2*h - 0*w + w. Give h*b(m) + 3*k(m). 2*m - 1 Let z(m) = 82*m + 900. Let x(o) = -15*o - 180. Calculate -11*x(a) - 2*z(a). a + 180 Let a(b) = -26*b**2 - 600*b - 13. Let g(y) = 32*y**2 + 600*y + 16. Give -5*a(k) - 4*g(k). 2*k**2 + 600*k + 1 Let o(r) = 128*r + 176. Let u(h) = 27*h + 35. What is 2*o(f) - 11*u(f)? -41*f - 33 Let m(f) = -f**3 + 2*f**2 - 5*f - 1. Let q(w) = -21*w**3 + 11*w**2 - 25*w - 1. What is -5*m(j) + q(j)? -16*j**3 + j**2 + 4 Let m(c) = 627*c**2 - c - 2. Let a(p) = 1254*p**2 - 2*p - 3. Give 3*a(l) - 5*m(l). 627*l**2 - l + 1 Let w(m) = 5*m + 1. Suppose 0 = -10*h - 44*h - 24*h + 78. Let b(a) = a**3 + a - 1. Give h*w(x) - 5*b(x). -5*x**3 + 6 Let j be 30/28 - 1 - (-3311)/(-1078). Let z(k) = k**3 - 3*k**2 - 3*k - 3. Let r(q) = 8*q**3 - 20*q**2 - 20*q - 20. Determine j*r(c) + 20*z(c). -4*c**3 Suppose 6*k = 84 - 72. Let y(q) = -6*q**k + 300 + 298 - 603. Let i(d) = -1. Calculate -5*i(s) + y(s). -6*s**2 Let b(x) = -15*x**2 - 3*x + 3. Let p(o) = -45*o**2 - 10*o + 10. Suppose -72*g + 67*g - 50 = 0. Calculate g*b(i) + 3*p(i). 15*i**2 Let p(b) = 88*b**2 - 370*b + 36. Let h(f) = -12*f**2 + 53*f - 5. Determine -15*h(n) - 2*p(n). 4*n**2 - 55*n + 3 Let a be -2*99/(-88)*4/(-3). Let f(g) = -26*g - 3. Let h(r) = 442*r + 52. Calculate a*h(t) - 52*f(t). 26*t Let j(t) = 3*t**2 + 14*t**3 - 36*t**3 + 23*t**3 - 2*t**2. Let c(b) = 6*b**3 + 4*b**2 + 2. Suppose 4*h = 6*h - 2. Calculate h*c(f) - 4*j(f). 2*f**3 + 2 Let c(d) = -6*d**3 - 5*d**2 + 2*d + 620. Let k(j) = -5*j**3 - 4*j**2 + 2*j + 610. Give -4*c(z) + 5*k(z). -z**3 + 2*z + 570 Let g(t) = -3*t**2 + 5. Suppose 2*a = -4*r + 2772, -r - 3*a = -212 - 471. Let j = -700 + r. Let w(l) = 4*l**2 - 6. Calculate j*w(q) - 6*g(q). -2*q**2 Let k be ((-4)/(-6))/(12/(-2862)). Let w = k - -155. Let y(t) = t**2. Let f
{ "pile_set_name": "DM Mathematics" }
-18 - -20)? -23 What is 21 + -10 - -10 - (11 + -66 - -15)? 61 (-6 - (-5 + -4 + 4 - (6 - -28))) + -6 27 What is -12 - ((-18 - 62) + 32)? 36 What is the value of (25 + -26 - (1 - 7) - -7) + -58 + 29? -17 Calculate 14 - (-126 - (-1 - (13 - -19))). 107 What is the value of 12 + (-51 - (-43 - -7))? -3 What is -34 - (-48 + 38 + 19 + -7 + 2)? -38 Calculate -2 - 1 - (4924 + -4931). 4 What is the value of (15 - -229) + -109 + (4 - 8)? 131 What is the value of 11 - -94 - 9 - 12 - 6? 78 (37 - (81 + -27)) + -25 -42 What is -53 + (92 - 32) + -50? -43 What is the value of -31 + 0 + (-10 + -7 - (22 - 44))? -26 What is the value of (16 - (-24 + 49) - 9) + 26? 8 Evaluate (-2 - (-3 - (-1 + 13 + -3))) + 25. 35 (40 - (-54 - -106)) + 3 + 1 + 1 -7 What is the value of 7 - ((11 - -9) + -45)? 32 Calculate (7 - 10 - (-33 - 2)) + (-554 - -561). 39 -33 - (39 + -75) - (39 - 1) - (8 - 0) -43 Evaluate -30 - (-136 + 63 + 3). 40 What is the value of 24 - 12 - 11 - (1 - -91) - (13 + -4)? -100 What is -2913 + 2823 - (-1 - 67)? -22 Evaluate -75 + 39 + (33 - 2 - 35). -40 (3 - (-9 + (26 - 20))) + -29 -23 What is the value of 23 - (31 + 117 + -26) - (8 - (3 + -2))? -106 What is the value of 58 + -49 + (69 - -12 - (-2 - -7 - 2))? 87 What is the value of 2 + 19 + (-200 - -161) + 92 + -5? 69 What is the value of -66 - (-41 + -29 + 14)? -10 Evaluate -62 - (-150 - -81 - -54). -47 What is (98 - 59) + -34 + (-38 - 0)? -33 Evaluate ((-1 - 28) + 60 - 0) + (3 - 0). 34 Calculate 61 + -74 - (-26 - -1) - (76 - (-3 - -1)). -66 What is (4 + -3 + -9 - (-9 + 3)) + 10? 8 Evaluate -162 + 42 + 141 + (2 - 17). 6 What is the value of (28 - 47) + 47 + -28 + (-2 - 0 - -28)? 26 Calculate 1 + 13 + 5 + 27 + -35 + 37. 48 Calculate 4 + -16 + (8 - (-6 + -4 + 9)). -3 What is (33 - 22) + 2 + -6 - (-51 - -91)? -33 Calculate -73 + 6 + (1 - 3) + (69 - 65). -65 Calculate (9 - -3) + 23 + 11 + -52. -6 What is the value of 45 + -36 - ((5 - 5) + -4) - (76 - 60)? -3 -14 + 45 + -61 + -27 -57 Calculate -289 - -483 - 182 - (0 + -46 - 1). 59 Calculate 15 + 7 + (-13 - (0 + -3)) + 3. 15 22 - (45 - 78) - 33 22 What is the value of -16 - (-1 + -6 - (-54 - -47)) - -42? 26 Evaluate 13 + 48 + -110 + 35. -14 Calculate (-42 - -76) + (29 - (30 - 19)). 52 What is the value of 41 + 4 + (1 + 4 - 0) + -9? 41 What is the value of (45 + -59 - 10) + 21? -3 Calculate (4 - (37 - -10 - 3)) + 10 + -7. -37 What is the value of 25 + (-8 - -18) + -1 - (-7 - 6)? 47 Calculate -47 + -1 + -1 + (-18 - -26). -41 What is -7 + (-53 - (-264 + 268 - (-2 + 2 - -1)))? -63 Evaluate 4 + (84 - (-21 + 12) - 13). 84 Evaluate 1 + -8 + 0 + -5 - (-460 + 506). -58 Calculate (22 + (-37 - -17) - ((1 - 11) + 0)) + -17. -5 -63 + (-14 + 24 + -19 - -21) -51 What is -127 - (-9 - -28 - 49 - -6)? -103 Evaluate -103 + 14 + (45 - 4). -48 What is -48 + 32 + (9 + 12 - 24)? -19 Calculate (-2 - 2) + (5 - 20 - ((-9 - -9) + -20)). 1 Calculate -16 + (-2 + -8 - 1) + (61 - (-66 + 19)). 81 Calculate -6 - 44 - (1 - (5 + 6 + 1 + -6)). -45 Calculate 41 + 107 + -146 - (-29 + 3). 28 Evaluate (-67 + (0 - 2) - -2) + (-90 - (43 + -143)). -57 Calculate (29 - (53 + -42)) + -2 + 22 + 2. 40 What is the value of 1 + (5 - (6 - (-11 - -12 - 4)))? -3 Evaluate (35 + -1 - 14) + 66. 86 Evaluate (46 - 31) + -14 + 12 - 26. -13 (-6 - -3) + (22 - 12) + -25 - -8 -10 What is (658 - 624) + 22 + 0 - (-12 + -1)? 69 Calculate 42 + -22 + 41 + (4 - 180). -115 What is -27 + (-6 - -5) + (-24 + 43 - 10) + -9? -28 (-33 - (6 - 8)) + -8 - -2 -37 Calculate -40 - 3 - (-1058 - -1015). 0 What is the value of 1 - 4 - (-51 - ((20 - (17 - 15)) + -1))? 65 Evaluate -314 + 325 + (1 + -6 + 5 - -23). 34 What is the value of 14 - (-61 + 37 + 82)? -44 Evaluate -3667 + 3706 + -2 + -1 + -14. 22 What is (2 - 0) + -35 + 42 - (-1 - -10)? 0 What is -38 + 31 - (-8 - (4 + 1 + 15))? 21 What is the value of (-49 - -61) + 7 + (5 - 3)? 21 What is 155 + (-37 - 103) + 28 + -1? 42 Calculate -43 + -9 + -14 + (-7 - -6 - -4). -63 -6 - (50 + (16 - 44)) - -80 52 Evaluate -22 + 1 + (5 - 73) + (-264 - -247). -106 Evaluate 78 - (-10 - (-8 + 14 + -8 - -8)). 94 Calculate (194 + -194 - (1 + 38)) + 17. -22 16 + (26 - 47 - 38) -43 Evaluate -8 - (-124 + (114 - 60)). 62 Calculate 16 + (-1 - (5 + 6)) - (36 - (-3 - 0)). -35 What is -29 - (-56 + 4 - (-653 - -645))? 15 Evaluate -58 + (-33 - -68) + 46. 23 Calculate 5 - (-3 + (-16 - (6 + -36) - 21)). 15 Evaluate 10 + 16 + (-27 - -12) - 3 - 6. 2 44 - (21 - 107) - 68 62 52 + (111 - 84) + -100 -21 What is the value of (304 - 318) + (4 - (-3 - -3) - -4)? -6 Evaluate (-22 - (14 - (3 + 3) - 14)) + -11. -27 (-77 - 2) + 105 + -98 + (20 - 0) -52 Evaluate 21 + -8 + (11 + -6 - -29 - 7). 40 What is (-20 - -28 - -5) + (1 - -3) - -8? 25 Evaluate (54 - 45) + -8 - (0 + (3 - 1) + -45). 44 What is (-10 - 0) + (6363 - 6266)? 87 Calculate 5 + -15 - (7 - (12 - -3 - 51) - 10). -43 Evaluate (150 - 143) + -2 + 62 + -23. 44 2 + -8 - (13 - (-110 + 223)) 94 What is -123 - -81 - (-4 - 36)? -2 What is the value of 13 + -66 + (2 - (-7 + (6 - 0)))? -50 Evaluate -73 + 2 + 901 + -864. -34 Evaluate -38 + (-46 - (-31 + 5)) + -2. -60 Evaluate -10 + -51 + (-27 - -39). -49 What is -67 + (65 - (46 - 13))? -35 Calculate 208 - 199 - (-11 + (-10 - 1)). 31 What is -6 + -4 + -41 - (6 - 26)? -31 What is -2 - ((-14 + 10 - 2) + 10 + -13 + -3)? 10 What is -110 - (72 + 15 + -198)? 1 Evaluate 76 - (-18 - (7 + (-17 - 18))). 66 Calculate -6 - ((-67 - (-13 + 26)) + 0 + 12). 62 What is the value of -12 + 14 + 23 + -13 + -7? 5 What is the value of -1 + 14 + (204 - (114 + 117))? -14 Calculate (34 - (-1 - (-70 + 26))) + (0 - -52). 43 Evaluate (86 - 3 - (8 - (4 - 9))) + -14. 56 Evaluate 0 + 8 - (-72 - (-24 - 17 - -15)). 54 Evaluate 0 + (-36 - (-29 - 28) - (-2 + (-11 - 1))). 35 What is -85 - (31 + 16 + -32) - (-3 + -1)? -96 What is (3 + 39 + -11 - 17) + (-69 - 3)? -58 What is 5 + (-3 - -2) + -55 + 47? -4 What is 43 + 4 + 0 - ((1 - 2) + (-71 - -75))? 44 What is the value of -46 + 35 + -64 + 147? 72 Calculate 17 + (2 - (-266 - -253 - (-2 + 111))). 141 Calculate 47 - (137 - 66 - -101). -125 What is -284 + 157 + 139 + -19 + (-1 - 0)? -8 What is the value of 18 + (-5 - -3) + (9 + -7 - 1)? 17 What is the value of -3 + 13 + 3 + -54 + 43? 2 What is the value of (30 - -61) + -5 + -2 + 0 + (1 - 4)? 81 (2 + -2 - (3 - (-62 + 6))) + (-1129 - -1144) -44 Calculate -29 + (-21 - -19 - (-14 - 1)). -16 (31 - -58) + -21 + -20 + -2 - (-15 + 1) 60 Evaluate (-5 - (2 + 10)) + 1 - (0 - (-36 - 1)). -53 (-9 + (12 - 6) - (-122 + 22)) + 12 109 Evaluate (32 - (-12 + (-10 - -11))) + (-11 - -6) + 9. 47 Calculate (-17 - (-23 - 12)) + -21 + 1 + 23. 21 Calculate 176 - (-139 - -70 - -127). 118 Evaluate (-1 - -2 - -5 - (280 + -284)) + -3. 7 Evaluate -14 + -7 - (-150 + 114). 15 Calculate (529 - 479) + -2 + -2. 46 What is 35 - (12 + 12) - 4 - 35? -28 Evaluate 4 + (-17 - 2) + 49. 34 Evaluate (2 + -1 - (-3 + 1 - 9)) + (-10267 - -10188). -67 What is 0 + 32 - (-94 + (248 - 48))? -74 Evaluate -5 - -1 - (10 + 5 + -17 - 8). 6 What is 9 + (-1 - -2) + (-107 - -171) + -71? 3 What is 37 - (16 + -56 + 38)? 39 Evaluate -3 - 80 - (-341 + 330). -72 Evaluate 1 + 14 - (173 + -150) - 29. -37 Evaluate (-1541 - -1512) + (2 - 19). -46 (4 - 1) + (188 + -60 - 154) -23 (19 - (51 + -22)) + (8 - (-4 + 7)) -5 Calculate (-46 + 56 - 47) + -73. -110 -13 - ((40 - 4) + -20 + 0 + 0) -29 What is the value of -12 + (-3 + 21 - 16) + 31? 21 What is -7306 + 7333 - ((-21 - -1) + -1)? 48 What is the value of -1 + 68 + -11610 + 11538? -5 Calculate (1 - -14) + -75 + (-63 - (65 + -131)). -57 What is 8 + (20 - -103 - 51)? 80 Evaluate (36 - (27 + 25)) + 57 - (-10 + (-1 - 2)). 54 What is (120 - 401) + 250 + (-1 - 0 - -17)? -15 Evaluate -37 - (-28 - (7 + -28 + 17)). -13 What is -10 - (-11 + 20 + -10 + 4)? -13 Calculate 224 + -38 - (-51 + 161). 76 What is (-119 - 51 - -51) + 147? 28 Calculate -12 - (25 + -16 + -36 + -11 - (-17 + 1)). 10 Calculate (-2 + 3 - 45) + (2 - -25) + (-14 - 14). -45 Calculate -48 - (-48 - (-35 + -8)). -43 383 - 327 - (-3 + -3 - (-1 - (1 + 1))) 59 Calculate 5 + (-32 - -22) + -30. -35 Evaluate 44 + (0 - 54) + 21 + (-45 - -8). -26 What is 54 + (-112 - -49) + (0 - 12)? -21 What is -1 + (1 - -14) + 6538 + -6554 + -15? -17 -15 + 11 + -21 - (-13 - -7 - -1) -20 Calculate (-17 - -25) + (-17 + 1 - (191 - 200)). 1 What is the value of 1 + (100 - 17
{ "pile_set_name": "DM Mathematics" }
0. Let q = 75 - 124. Let v be (-7)/49 + (-105)/q. Sort v, 4, -5, x in descending order. 4, v, x, -5 Let l = -82861 + 82866. Suppose -1 = t - 3. Put t, -3, l in ascending order. -3, t, l Let q = -2064 + 2067. Put -5, 49, 0, q in descending order. 49, q, 0, -5 Let h = -4 + 3. Let r be (-8)/(-3) + -1 + 2665/(-123). Let k(n) = -2*n - 44. Let w be k(r). Sort h, w, -28 in ascending order. -28, w, h Let l = -90 + 83.25. Let o = l - -6.8. Let k = -1.9 - -2. Put 0, k, o in ascending order. 0, o, k Let r be -1*2 - (36/(-30))/(4/(-10)). Put r, -4, 2, 28 in decreasing order. 28, 2, -4, r Let m(g) = -g**3 + g**2 + 2*g + 8. Let l be m(3). Let c(p) = p**2 - 19*p - 30. Let w be c(20). Put l, w, 0 in decreasing order. 0, l, w Let m be 58 + ((-540)/(-10))/6 - -1. Sort m, -21, -3 in ascending order. -21, -3, m Suppose -4*c - u = -62, 2*c - u - 72 = -38. Sort -3/5, c, -46 in decreasing order. c, -3/5, -46 Let g = -5.6 + 6. Let y = 103 - 211. Let i = y + 110. Sort i, 5, g in descending order. 5, i, g Let y(t) = 2*t**3 - t**2 - 57*t - 36. Let z be y(-5). Put z, 4, 1/3, -0.1, -5 in increasing order. z, -5, -0.1, 1/3, 4 Let d = -7270 - -7269.5. Sort 0.3, d, 0, -2/5, -1/6. d, -2/5, -1/6, 0, 0.3 Let d = 4194 + -4197. Sort -4, -6, -1, 3, d. -6, -4, d, -1, 3 Let w be 1*3*(3 + 13/(-3)). Let v be (w - -4 - -17) + 1/(-1). Let l = v + -82/5. Sort 3, 1, -1, l in descending order. 3, 1, l, -1 Suppose 19 = 4*v - k, 4 + 4 = -v - 4*k. Suppose -10 = 14*y - 17*y + 2*d, -v*y - 4*d = 0. Sort 4, 16, y in descending order. 16, 4, y Let j(x) = -x**3 + 63*x**2 - 143*x + 14. Let z be j(61). Put -3, 0.5, z in decreasing order. 0.5, -3, z Suppose 3 + 15 = 3*k. Let z(x) = -x**2 + 7*x - 9. Let i be z(k). Let g(h) = 263*h + 82592. Let q be g(-314). Sort 0, -4, q, i. -4, i, 0, q Let j(x) = -x - 1. Let d(k) = -k - 8. Let n(u) = d(u) - 2*j(u). Let h be n(10). Suppose -h*s - 20 = -4. Sort 0, s, 4 in increasing order. s, 0, 4 Let s(n) = -21 - 358*n**2 + 722*n**2 - 33*n - 362*n**2. Let b be s(17). Sort b, -1, -6 in decreasing order. -1, b, -6 Let m(w) be the third derivative of w**5/60 + w**4/24 - 7*w**3/6 + 3*w**2 + 8. Let u be m(3). Put -51, 1, u in descending order. u, 1, -51 Let t = -32.86 + 35.86. Sort 0.838, t, -1, -5 in decreasing order. t, 0.838, -1, -5 Let p be (10/(-20))/((-1)/2). Let h = 1.9 + -2. Let v(c) = 12*c + 112. Let s be v(-9). Sort p, h, s, -0.2 in descending order. s, p, h, -0.2 Suppose 731 = -236*g - 921. Put -3, 27, 0, g, -1/2 in descending order. 27, 0, -1/2, -3, g Let n = -27.93 - -1.33. Let d = -26.4 - n. Sort -3/4, -0.1, d. -3/4, -0.1, d Suppose 58436 - 474723 = -684*s + 175373. Sort -3, -2, 5, 3, s in ascending order. -3, -2, 3, 5, s Suppose -2*a - 4*z - 2 = 42, -a - 3*z = 33. Suppose 0 = -s - 0*s + 2. Let p = -1 - s. Sort p, a, -7. -7, p, a Suppose -2*j - 25 = -5*p, 10 = -8*p + 10*p + 2*j. Suppose 0 = -m + d + p, -4*m = -3*d - 16 - 5. Sort -4, -2, m in descending order. m, -2, -4 Let p(g) = -g**2 - 2*g + 123. Let s(h) = 6*h + 100. Let o be s(-15). Let u be p(o). Put -39, -4, u in descending order. u, -4, -39 Suppose 49*s + 173*s - 605 = 101*s. Let p be 3/6 + (-2)/4. Suppose -12 = -5*t + 2*y, p - 1 = -t - y. Put 3, 7, t, s in decreasing order. 7, s, 3, t Let d = 4.2313 + 0.7687. Put -2/11, -43, 0.5, d in descending order. d, 0.5, -2/11, -43 Let x = 27.87 + -28. Let z = x - -5.13. Let i = 27555.98 + -27556. Sort 1, z, i in descending order. z, 1, i Let g be ((60/(-10))/24)/(1/15). Put 1/2, g, 0, -2/17 in descending order. 1/2, 0, -2/17, g Let p = -0.0129 + 0.1029. Sort -50, 5/3, p, -4 in descending order. 5/3, p, -4, -50 Let k = -377 + 528. Let x = k + -151.2. Put 0, x, -2.9 in decreasing order. 0, x, -2.9 Let u be 2 - (1 + 0) - (11 + -13). Sort u, -33, 5 in ascending order. -33, u, 5 Let k = -3852 - -3645. Put -5, -4, -1, k in decreasing order. -1, -4, -5, k Let l = -1.461 + 1.26. Let v = -0.001 - l. Let c = 17 - 16. Put c, v, 1/3 in descending order. c, 1/3, v Suppose -14 = -4*o + 4*q - 34, 0 = 3*o + 5*q - 25. Let n = -23 + 11. Let k = 0 + n. Sort -3, k, o in descending order. o, -3, k Let p = -0.0217 + -58.9783. Sort p, 8/9, 0.5. p, 0.5, 8/9 Suppose -2*a = -3 + 9. Suppose 0 = -8*w - 20731 + 20763. Let i(m) = m**2 + 7*m + 4. Let l be i(-4). Sort w, l, a in descending order. w, a, l Suppose 0*w - 14 = 3*k - 2*w, 2*w - 2 = 0. Let z = 2154 + -2156. Sort k, -126, z. -126, k, z Let m = -2.88 + 1.61. Let s = -1.73 + m. Sort 3/2, -4, s, -13 in descending order. 3/2, s, -4, -13 Let f = 1.4528 + -1.3528. Let p = 1/33 + -4/11. Let a be (-9)/15*(-8)/12. Put a, p, f, 0 in ascending order. p, 0, f, a Let y = -29.6 - -26. Let c = y + 4. Let x = -241/4 + 60. Sort -2, x, c in ascending order. -2, x, c Let f = 83373/115 + -725. Sort 0, f, -1, 0.3 in decreasing order. 0.3, 0, f, -1 Let x = -66 + 67. Let d = -3.2 - x. Let c = d - -3.2. Sort c, 1/3, 2. c, 1/3, 2 Let z(v) = -v**3 - 3*v**2 + 3*v + 1. Let o be z(-4). Suppose 4*s - 5*y = -1, 2*s + o*y = -0*y + 7. Let r be (8 + -10)/(s + 0). Put r, 6, -1 in increasing order. r, -1, 6 Let x be 780/(-325) - 149/(-60). Put 103, x, 0.5, 5 in decreasing order. 103, 5, 0.5, x Let r = 141 - 201. Let y = 68 + r. Sort 0.3, -0.1, y, -3. -3, -0.1, 0.3, y Let l = -1.44 + 1.471. Put -0.2, -5, 2.9, l in ascending order. -5, -0.2, l, 2.9 Let p(v) = v**3 - 5*v**2 - 5*v - 1. Let c be p(6). Let b(s) = 2*s**2 - 19*s + 38. Let t be b(6). Sort c, -1, t. t, -1, c Let u(p) be the first derivative of -p**4/4 - 2*p**3/3 - p**2/2 + 35*p + 66. Let l be u(0). Sort l, 3, -2. -2, 3, l Let z = 0.0517 + 4.9483. Let o = 35.3 - 35. Sort o, z, 0.4 in descending order. z, 0.4, o Let o be -18 - (-12 - (18 + -11)). Let v(f) = -5*f**2 - 8 - 3*f + 4*f**2 + 10*f. Let n be v(6). Sort 6, n, o in ascending order. n, o, 6 Let c = 4.2874 - 0.0954. Let g = -0.192 + c. Put g, -3/2, 1, -3/8 in increasing order. -3/2, -3/8, 1, g Let d(s) = 20*s - 897. Let p be d(45). Sort 462, p, -3, 0. -3, 0, p, 462 Let s = -16921/2 - -8461. Put 184, -0.09, s in decreasing order. 184, s, -0.09 Suppose -8*r - 40 = 2*r. Let w be (-3)/(9/12) + 2. Sort w, -1, 8, r. r, w, -1, 8 Let v(t) = -t**3 - 3*t**2 + 2. Let y be v(1). Let o be (-2 - y) + -2 - 5. Put o, -5, -3, -1 in increasing order. o, -5, -3, -1 Let c = -44073 + 44072. Let s = 6 + -3. Let x = 3.4 - s. Sort c, -0.5, x in descending order. x, -0.5, c Let b = -10323.8 + 10324. Sort 5/28, 1, b, 5, 0.4 in descending order. 5, 1, 0.4, b, 5/28 Suppose -68*s + 78*s = -168*s - 3204. Sort 1/4, 3, 1, 0.1, s. s, 0.1, 1/4, 1, 3 Let h(y) = -y**2 + 8*y - 14. Let c be h(4). Suppose 4*a - 16 = -c*w, 1 - 2 = w - a. Sort 3, w, 14. w, 3, 14 Let j = -58.23 - -58.26. Let h = -0.8 + 0.4. Put -1/5, -8, j, h in descending order. j, -1/5, h, -8 Let q = 1420.5 + -1420. Put q, -104, -2, -3 in increasing order. -104, -3, -2, q Let d = -8627 - -8622. Sort 0, d, -6/25, -1/8 in increasing order. d, -6/25, -1/8, 0 Let g = 5 - 15. Let h = -31188 + 31190. Put h, g, 1, -5 in decreasing order. h, 1, -5, g Let g(v) = v**3 + 335*v**2 + 994*v - 668. Let u be g(-332). Suppose 5*d - 3*d = -12. Put 4, u, d in decreasing order. 4, u, d Let u be (-3885)/1221 + (2/(-11))/(20 + -21). Suppose -6*j + 5*j = -f + 4, -4*j + 3*f = 13. Put u, 7, j in descending order. 7, j, u Let z be 405/4 + (120/(-32))/15. Suppose -98*w - 12 = -z*w. Let v be (-2)/9 - 50/18. Sort v, w, 1 in descending order. w, 1, v Let c = 429.182 + -430. Let n = -0.718 - c. Put 19, n, -2 in descending order. 19, n, -2 Let u be 196/112 - 1*75/12. Sort -0.5, -21, u. -21, u, -0.5 Let q(j) = -11*j**2 + j + 20. Let s be q(0). Suppose -8 = 7*c + s. Put 9, 1, c, -3 in decreasing order. 9, 1, -3, c Let r be (-21)/((-11)/((-44)/6)). Let x be 2/r + 232/56. Sort 5, -1, 6, x. -1, x, 5, 6 Let x(c) = c + 4. Let t be x(0). Suppose 4*i + t*m - 2 = -6, 2*i - 5*m = -23. Let d(o) = o**2 - 66*o - 417. Let h be d(72). Put h, 0, i in descending order. h, 0, i Let r be 20 - 654/33 - (-84)/(-99). Sort 0.3, r, -1, -3/5 in decreasing order. 0.3, -3/5, r, -1 Let p = -3.042 + 6.042. Let n = 0.9 + 0.1. Put 9, -1, n, p in increasing order. -1, n, p, 9 Let z = 4714.037 + -4717. Let k = z - 0.037. Suppose -u + 288 = -10*u. Sort k, -1, u in descending order. -1, k, u Let k be ((-1)/(-2))/((-27)/(-486)). Let d(s) = -2*s**2 - 9*s + 22. Let x be d(-6). Let z be (2 + 0 + 1
{ "pile_set_name": "DM Mathematics" }
is the nearest to o in n, 0.5, -2? n Let a be 26/24 - 1/3. Let z be (-108)/(-567)*((-81)/(-2))/3. Let s = z + -101/42. What is the closest to a in 2, s, 1? 1 Let p = 4.4 - 2.3. Let s = p + -2. Suppose 6*l - 4 = -4. Which is the closest to -2? (a) 1 (b) l (c) s b Let n = -1/265 - 262/795. Which is the nearest to n? (a) 4 (b) 11 (c) -2 c Let j be (-3)/(-66)*4 + 342/(-792). Which is the closest to 0.1? (a) j (b) -0.4 (c) -8 a Let t = 1.95 + 0.05. Let j = -327.2 - -330.2. What is the closest to 0.3 in t, j, -1/4? -1/4 Suppose 22*p - 53 = -97. Suppose -5*o + 107 = -43. Which is the nearest to -2/9? (a) o (b) p (c) 1/6 c Let w = -35 + 35.23. Let z = -0.06 + w. Let x = z + -4.17. Which is the nearest to 1/3? (a) -2 (b) x (c) 0 c Let y = -3/170 - -361/1190. What is the closest to -0.2 in y, -0.5, 5? -0.5 Let g = -0.3 - -0.6. Let j = 27.062 + -0.062. Let w = j + -27. Which is the closest to w? (a) g (b) -4 (c) -2/5 a Let t be (-553)/(-158) - (1 + 2). What is the closest to 1 in -4, t, 2, -2? t Let r = -8.88 + 7.88. Which is the nearest to 0.1? (a) r (b) 4 (c) -5 (d) 2/11 d Let n = 1.13 - 0.84. What is the closest to -2/5 in 2/15, 1, n, 4? 2/15 Let m = -99 + 101. Let o be (-4 + 2)/(-1 - -5). What is the closest to m in -5, -6/7, o? o Let o be 8 + 104/(-20) + (-1)/(-5). Which is the nearest to 0.2? (a) 2 (b) 4 (c) o (d) 0 d Let m = 368 - 368. What is the closest to 1 in m, 1, -1? 1 Let p = -2.4 + -0.6. Let k(r) be the third derivative of -r**4/24 + r**3 - 2*r**2. Let j be k(3). Which is the closest to -0.1? (a) j (b) p (c) -5 b Let v = 221/3 - 73. Let h(t) = -4 - 510*t**2 + 0*t + 508*t**2 - 11*t. Let d be h(-5). What is the closest to 0 in d, v, 2? v Let h = 1500.5 - 1501. Which is the closest to -3? (a) h (b) 0.92 (c) -1/3 a Let j = 20 + 6. Let q = j - 26.2. Which is the nearest to 0.1? (a) 3/2 (b) q (c) 2/3 b Let b = 3 - 2.9. Let h = 445.1 - 445. Let a = -3 - -4. What is the nearest to h in b, 5, a? b Let x = -6.27 + 1.27. Let s = -1.3 - -1.5. Let t = 1 + -3. Which is the nearest to 0.7? (a) x (b) t (c) s c Let y = 7 + -6.65. Let a = 4.65 + y. What is the nearest to -0.06 in a, -1, -0.1? -0.1 Let p = 36 - 26. Let t = p - 10. Let y = 253 - 253.1. Which is the nearest to y? (a) -0.1 (b) t (c) 2 a Let w = -0.07 + -2.93. Let u = -0.272 + 0.072. What is the closest to w in u, -4, 4? -4 Let t = 25.9 + -26. Let q = t + -4.9. Let z(g) = g**3 + 4*g**2 - 5*g + 3. Let n be z(-5). Which is the nearest to n? (a) -0.2 (b) -1/3 (c) q a Let y = -72.3 - -74. What is the closest to 1 in 0.4, y, 1/5? 0.4 Let n = -2.201 - -0.081. Let h = n + -0.88. What is the closest to h in 1/10, 1, -0.2? -0.2 Let h = 177 - -203. Let a be -1*(-4)/(-18) - h/(-900). Let l = 0.13 + -0.16. What is the nearest to -1/4 in 0.3, l, a? l Let y be (4 - 1)*(-4)/(-6). Suppose y*g = -0*g + 2. Let j = 31295 - 187771/6. Which is the closest to 0.1? (a) g (b) -2 (c) j c Let y be 4/(-16) + 12/12. Let t = -1 + -1. Let k = -13 - -22. Which is the closest to k? (a) y (b) 0.5 (c) t a Suppose m - 5*x = 1, 0*m - m + x + 1 = 0. Let h be (28/42)/(1/6). Which is the closest to m? (a) h (b) -0.6 (c) -2/9 c Let d be (-1)/((-6)/10 - -1). Let p = 1.2 + -1.5. Which is the closest to d? (a) p (b) 0.4 (c) 3 a Let d be (2/(-8))/(-3 - 0). Let p = -81.5 + 81. Let y = p - 2.5. Which is the closest to -3? (a) d (b) 0 (c) y c Let a be 1 - 68/168 - (-4)/(-8). What is the nearest to -1/2 in a, 1/8, 3/7? a Let n = -20.27 + 20. Let r = n - 0. Let w = -0.17 - r. Which is the nearest to 0? (a) 3 (b) w (c) -4 b Let s = -82 + 28. Let h = -272/5 - s. Which is the nearest to -1? (a) h (b) -2/19 (c) 0 a Let x = -0.0105 - 0.3895. Which is the closest to -0.2? (a) -4/5 (b) -0.01 (c) x b Let z = 2/101 + 188/707. Which is the closest to z? (a) -3 (b) 3 (c) 1.3 c Let u be ((-9)/6)/(5/2). Let f(s) = s**2 - 22*s + 33. Let z be f(21). What is the nearest to z in 0, -3/7, u? 0 Let m = -0.19 - 0.11. Which is the nearest to m? (a) -1/2 (b) 0.02 (c) 0.4 a Let r = 0.043 - -20.957. Let t = r - 24. What is the closest to 0.1 in -5, 4/5, t? 4/5 Let c = -1.66 + 5.66. What is the closest to 20 in c, 1, -5? c Let k = 1.098 - 1.498. Which is the closest to -8? (a) -1 (b) 0.2 (c) k a Let n be (114/(-855))/(4/18)*1. What is the nearest to 1 in 0.3, 2/5, n, -0.4? 2/5 Let i = 8.9 + -9. Let y(q) = q**2 - 11*q - 32. Let p be y(14). Suppose 6*h - 11*h = p. What is the closest to 1 in -1, i, h? i Let r = -53 + 53.3. Which is the nearest to -1? (a) r (b) 3 (c) -0.5 c Let j be 6/8 - (-6)/(360/(-25)). Which is the closest to -38? (a) j (b) -2 (c) 2/7 (d) 5/2 b Let x = 3 + -2.5. Let v = 0.078 - 0.078. What is the closest to -0.4 in 4/5, x, v? v Let g = 5 + -10. Let u = 907.1 - 870. Let z = u + -37. Which is the nearest to g? (a) 0 (b) -0.1 (c) z b Let b(g) = 4*g - 9 + g**3 + 2 - 4 + 8*g**2 - 6. Let q be b(-7). What is the closest to 1/4 in -2, q, 0.3? 0.3 Let f(v) = v + 8. Let i be f(-6). Suppose -p + 4 = 5*g, -p + 6 - i = -3*g. Let x = 24 - 143/6. Which is the nearest to g? (a) 3 (b) x (c) 2/9 b Suppose 4*h = 16, 7*i - 10*i - 3*h = -30. Let s be 4/(-10) + -1 + 505/325. Let k = 0.1 - 0.1. Which is the closest to k? (a) s (b) i (c) -1 a Let n = -99 - -96. What is the closest to -8 in n, -2/15, 0.4? n Let s = 36.7 + -43. Let t = 6.4 + s. Which is the closest to t? (a) 0.1 (b) -4 (c) -0.4 a Let v = -142 - -712/5. Let w = -2.5 + 3. Let s = 615.4 + -615. Which is the nearest to v? (a) w (b) -0.3 (c) s c Let l = 177 + -177.3. Let y = -110/3 - -36. What is the nearest to y in -2, l, 0.5? l Let y = 1.608 + 6.392. Which is the closest to -1/7? (a) 1 (b) -4 (c) -0.3 (d) y c Let g = 13.8 + -14. Let i = 38 + -37.5. Let z = 1.2 - 1. What is the nearest to g in 0.3, z, i? z Let m = 0.543 - 0.343. Which is the closest to -2/3? (a) 0.4 (b) m (c) 0.3 b Let f = -1 + 2. Let i = 39.1 - 40.1. Which is the closest to f? (a) 1 (b) i (c) -5 a Let p = 0.2 - -0.3. Let c = -20.02 + 20.12. What is the closest to c in p, -0.4, -5? p Let q = -88 - -88.026. Let m = 21.974 + q. What is the nearest to 2/3 in m, -1/4, 0.1? 0.1 Let h = -55 - -56. Let x(u) = -6. Let i(g) = g - 1. Let t(y) = i(y) + x(y). Let a be t(6). What is the nearest to h in 0, a, 0.1? 0.1 Let p be (-1 + 6)*66/(-6). Let q = -167/3 - p. Let b = -2 - -1. What is the closest to b in 1, -4/5, q? -4/5 Let u be 10/(-16)*(-8 - 294/(-35)). Let y = -0.4 + 0. Which is the closest to 0.1? (a) u (b) -0.5 (c) y a Let w = 46.5 - 23.1. Let i = -23 + w. Which is the closest to i? (a) 4 (b) 2/19 (c) 2/5 c Let t = 174 - 180.9. Let u = -6.8 - t. What is the nearest to -4 in 0.5, -1/7, u? -1/7 Let x = 110.236 + 0.164. Let r = x - 110. Let n(g) = -g**2 - 4*g + 5. Let o be n(-5). Which is the closest to 0? (a) 0.3 (b) o (c) r b Let j = 191.1 - 192.5. What is the closest to 1 in j, 0.4, -4, 1? 1 Let p = 2/1415 + 508/41035. Let g = -12/29 + p. Let i(f) = f**2 - 1. Let t be i(1). What is the closest to 0 in t, 2/9, g? t Let s = -0.0208 + -0.0092. What is the nearest to 2/7 in 0.01, 3/4, s, 2/11? 2/11 Let q = -14 + 9. Let r = -47.1 - -47. Which is the nearest to -0.1? (a) q (b) -0.3 (c) r c Let v = 406 + -406.1. What is the nearest to v in -2, 4, 5? -2 Let m = -55.3 + 55. Let y = -1 + 1. Let x be (1/8*-2)/1. What is the nearest to x in m, -3, y? m Let i = 19 - 17. Let s = 181 - 548/3. Which is the closest to -0.2? (a) s (b) 1/4 (c) i b Let o = 425/4936 + 24/617. Suppose -6*v = -v + 20. Which is the closest to o? (a) v (b) -4/3 (c) 5 b Let z = -1.51 + 1.51. What is the closest to 0.1 in 10, 5, z? z Let j = -0.1 - 0.2. Let v be ((-18)/(-21))/(120/798). Let r = v + -36/5. What is the nearest to j in 5, -4, r? r Let z be ((-84)/(-105))/((-12)/(-10)). Which is the nearest to -1? (a) -3 (b) z (c) 0 c Let p(k) = k**2 - 5*k - 6. Let h be p(6). Let x be (8 - (1 - h)) + -3. Which is the closest to 0.2? (a) 1/8 (b) 1 (c) x a Suppose -14 = 4*u - 11*u. What is the nearest to u in 0.5, 2, -1/5? 2 Let j = -13/4 + 75/28. Let k = j + 1/7. Let p = -9 + 6. Which is the nearest to k? (a) -2/5 (b) -0.1 (c) p a Let v = -2.12 - -3.12. What is the nearest to -1 in v, -0.2, -0.02? -0.2 Let a = 0.005 - 23.005. Let w = a - -26. What is the neare
{ "pile_set_name": "DM Mathematics" }
inator of l and 5/16. 144 Let n be 3/(-18) + (-6069)/(-18). Let c = n + -274. What is the lowest common multiple of 70 and c? 630 Let g be (-1)/(4/12*-3) + 2. Suppose g*q - 102 = -4*t, -4*t - 8*q + 104 = -4*q. Calculate the lowest common multiple of t and 96. 96 Let r = -60451/21 - -2878. Let t = 15116/75 - 1003/5. Find the common denominator of t and r. 525 Suppose 2*k - 77 = 13*k. Let u = 5737/8 + -715. Find the common denominator of -8 - k - (-156)/27 and u. 72 Suppose 34*a = 103048 - 12465 + 50245. What is the least common multiple of 6 and a? 12426 Let v = -27387 - -3943651/144. Calculate the common denominator of v and 235/(-162)*(-1827)/(-6090). 432 Let c(h) = -9*h**2 - 11*h + 12. Let b be c(1). What is the lowest common multiple of 36 and 63/(-36)*b*3? 252 Suppose 0 = 3*x - 354*b + 349*b - 105, -5*x + 3*b = -191. What is the least common multiple of 1960 and x? 1960 Let p = 3/518761 - 67961255/616288068. Find the common denominator of p and -107/972. 10692 Suppose -9*h - 4*o - 184 = -14*h, -2*h + 4*o + 64 = 0. Let b = -64 - -46. Let v = 22 + b. What is the lowest common multiple of h and v? 40 Suppose 3*p - 2*p - 8 = 0. Let u be 8*(-4)/6*(-588)/p. Calculate the lowest common multiple of (u/21)/((-4)/(-6)) and 22. 308 Suppose -536 = -4*q + 8*q - s, 3*q = 5*s - 402. Let n = 148 + q. Find the common denominator of (-189)/n*(-3)/(-24) and 99/20. 80 Let l = 1/27116 - -64387/366066. Find the common denominator of l and 91/134. 7236 Let b be (1/(15/18))/((-2)/(-55)). Let s = -31 + b. Calculate the lowest common multiple of s and 20. 20 Let h = -252 - -187. What is the common denominator of 93/16 and (108/32)/((h/(-6))/(-13))? 80 What is the common denominator of 109/140 and 36/84*(-4 + (-2005)/(-420))? 980 Let m = -18 - -12. Let j(z) = z**3 + 10*z**2 - 21*z - 99. Let i be j(-11). Let b = m + i. What is the lowest common multiple of b and 7? 35 Let w(q) = 2*q**2 + 7*q - 2. Let d be 3/(-2) + 70/(-28). Let a be w(d). Suppose -a*r - 3*r + 15 = 0. Calculate the smallest common multiple of r and 12. 12 Let w = 5486 + -5481. Calculate the smallest common multiple of w and 1255. 1255 Let a(t) = t**3 + 7*t**2 - 17*t - 109. Let y(c) = 2*c + 72. Calculate the lowest common multiple of a(-7) and y(0). 360 Let s = 8491/4 + -2122. What is the common denominator of -145/6 and s? 12 Suppose 5*d - 8 = 5*f + 47, -4*d - 5*f + 89 = 0. Suppose -4*c - 11 = 13. What is the least common multiple of d and (2 + -13)*(4 + c)? 176 Suppose -27 - 9 = -9*z. Suppose -z*i = 24 - 184. What is the smallest common multiple of i and 80? 80 Calculate the common denominator of ((-348)/96)/((-605)/66) and -7/198. 1980 Let u(z) = -20*z**2 - 3*z + 4. Let l be u(2). Let a = l + 42. Calculate the common denominator of (16/a)/(24/1210) and -91/6. 6 What is the least common multiple of 102 and 119/2*(-1236)/(-721)? 102 Let m(d) = -2*d**3 - d**2 - 5*d - 21. Let u be m(0). What is the lowest common multiple of 35 and (-1182)/u + (-26)/91? 280 Suppose 4*u = -5*m + 400, -2*m + 18*u - 15*u + 160 = 0. Calculate the smallest common multiple of m and 570. 4560 Let h = 8347001/105 - 79496. Calculate the common denominator of 11/615 and h. 4305 Let o = -6 + 8. What is the common denominator of (o/(-8))/((-33)/(-54)) and (13416/(-192) + 38)/((-12)/(-2))? 176 Calculate the lowest common multiple of 205 and -5 + (-836)/(-14) - (-44)/154. 2255 Let h = -315/13 - -2614/117. What is the common denominator of -1/163 and h? 1467 Suppose 590 = -23*u + 2315. Suppose l - 12 = -3. What is the least common multiple of u and l? 225 Let i = -8411/4902 + -74/129. Find the common denominator of 143/48 and i. 912 Find the common denominator of -8/203 and (-22)/(-55) + (-432)/(-70). 203 Suppose 3*j - 252 = -0*j. Let l = -6893161/6937476 - -1/44471. Find the common denominator of l and (j/(-18))/(44/21). 1716 Calculate the common denominator of -46/15 and 6/(-200)*(1892/66 - -16). 150 Suppose -7*r - 5*y = -173, -5*y + 77 = r + 2*r. Suppose 3*n - 87 = -5*a, -3*n = -2*a + 32 + 7. What is the smallest common multiple of a and r? 72 Suppose 5*a + 23 - 38 = 0. Suppose -94 = -2*r + 34*o - 36*o, 92 = 2*r + a*o. Calculate the lowest common multiple of r and 7. 49 Suppose -205 + 1493 = 4*u - 4*q, u + 3*q - 330 = 0. What is the least common multiple of u and 144? 1296 What is the common denominator of ((-49)/35)/((-2)/28*-6) and 49/31? 465 Let s(t) = -5*t**3 - 9*t**2 - 5*t - 24. Let n be s(-6). What is the common denominator of 25/2 and (-5)/((-20)/8) + n/(-328)? 164 Let b = -47 - -33. Let p = 3/485 + 7263/1940. What is the common denominator of b/99 + (-6)/27 and p? 44 Let p = 63 - -36. Suppose -2554*x = -2668*x + 3762. Calculate the least common multiple of x and p. 99 What is the common denominator of (-18)/(-63) + ((-481)/42)/1 and -5 + -6 + 22/6? 6 Suppose 34*o - 16*o + 62000 = 142*o. Calculate the smallest common multiple of o and 2250. 4500 Let s be 4 + -2 + 8158/1112. Let m = 12/139 - s. Find the common denominator of 4*(-4)/(-72)*226/(-16) and m. 36 Suppose 0 = 15*d + 3*d - 54. Suppose 2*y - 5*t = 26, -d*y - t + 5 = -0*t. Calculate the smallest common multiple of y and 19. 57 Let f = -1/11052 + -558115/121572. Find the common denominator of (1*-73)/(52/2) and f. 286 Suppose 0 = 3*a + 24 - 723. Let s = a - 225. What is the least common multiple of 20 and s? 40 Let v be -5 + 28 + 3/((-4)/(-4)). Let p = v + -22. Calculate the smallest common multiple of p and 45. 180 Suppose -2*t + 30 = 3*t. Suppose -4*x = -3*q - 0*x + 131, 2*q - 2*x - 88 = 0. Suppose t*m = q - 9. What is the lowest common multiple of m and 11? 66 Suppose p - 18923 = 4*z, -10*z = -5*z + 5*p + 23660. Let u = -1201685 + 7238423/6. Let o = z + u. Find the common denominator of -19/8 and o. 24 Suppose 15*a = 22 + 38. Suppose 3*u = -j + 3 - 2, 4 = -u + 4*j. Suppose -2*p + 2*f = p - 13, 5*p + f = u. What is the smallest common multiple of a and p? 4 Find the common denominator of 288/48 - (16/20 - 6502/(-1360)) and -27/20. 680 Suppose -27*y + 29*y - 360 = 0. Suppose 6*g + 12*g = y. What is the smallest common multiple of g and 11? 110 Let m = 7 + 1. Let z be (9/(-12))/((-3)/8). What is the common denominator of m/z*(-25)/34 and -51/8? 136 Let l be 1/(-6) - 38/(-12). Suppose 9*p - 4*h - 35 = 4*p, -7 = -p + l*h. What is the lowest common multiple of 2 - 0/(-4 + 3) and p? 14 Let c = -148 - -44. What is the common denominator of 0/3 - 170/36 and 436/c*(-3)/3? 234 Let z = 12761195/1062 + -108143/9. Find the common denominator of -115/144 and z. 8496 Let s be 1 + 2 + ((-295)/(-55) - 8). Let n = s + 25/11. Find the common denominator of n and -9/38. 418 Suppose -2 = 2*n + o, n + 0*o + o = 0. Let j be (-244490)/9460 - n/11. Let r = -36/43 + j. What is the common denominator of -9/34 and r? 34 Suppose -4*d = -2*u + 478 + 542, -2*d = 4. Calculate the lowest common multiple of 2162 and u. 23782 Let r = -496/8851913 - 502142142977/321767037550. Let k = r - -15/727. Find the common denominator of -31/10 and k. 50 Let g = -15344 - -15424. What is the smallest common multiple of 1950 and g? 15600 Suppose -2*u + 26 - 10 = 0. Calculate the smallest common multiple of -66*(-4)/(-2)*(-60)/90 and u. 88 Let l be (4/6)/((-4)/(-1182)). Let a = l + -807/4. Calculate the common denominator of a and 505/45 - (59 - 65 - 20/(-2)). 36 Suppose 2*o - 3*g = 75, 0 = 3*o - 3*g - 2*g - 115. Let i = -21 + o. Calculate the common denominator of (825/(-2))/(-11)*2/i and -23/7. 21 Let l(o) be the first derivative of o**4/4 + 9*o**3 - 3*o**2/2 - 36*o + 96. What is the smallest common multiple of 36 and l(-27)? 180 Let f = 29617/14440 + -3/2888. Let h = -6475 - -103567/16. Let p = h - -53/16. Find the common denominator of p and f. 20 Let x(w) = -4*w**3 - 2*w**2 - w - 6. Let g(u) = -3*u**2 - u + 2. Let a be g(1). What is the lowest common multiple of 15 and x(a)? 60 Suppose 0 = 5*d - g - 75 - 0, -4*g = 3*d - 45. Find the common denominator of (1/(-2))/((-7)/(-74)) and d/(-3) + (-11)/7 + -1. 7 Let i = -73854 - -3988237/54. Let d = 18/1223 + 162443/14676. What is the common denominator of i and d? 108 Let k = -85037/20 + 4254. Find the common denominator of k and -79/152. 760 Let z(h) = 3*h**2 + 5*h + 248. What is the lowest common multiple of 64 and z(16)? 8768 Let b = -28481/72 - -3640/9. Calcula
{ "pile_set_name": "DM Mathematics" }
rounded to two decimal places? -0.11 Round 0.00004347 to 5 decimal places. 0.00004 Round 527640 to the nearest one hundred thousand. 500000 What is -849000 rounded to the nearest 100000? -800000 What is 470300 rounded to the nearest 100000? 500000 What is 78.1 rounded to the nearest 10? 80 What is -0.000008427 rounded to five dps? -0.00001 Round 0.00321 to four decimal places. 0.0032 What is 0.00001228 rounded to six decimal places? 0.000012 What is -12272300 rounded to the nearest one hundred thousand? -12300000 Round -65.4 to the nearest integer. -65 What is 0.154736 rounded to three dps? 0.155 Round -56200000 to the nearest one hundred thousand. -56200000 Round -219.6 to the nearest 10. -220 What is 220000 rounded to the nearest ten thousand? 220000 Round -0.560995 to three dps. -0.561 Round -0.0000529028 to 5 decimal places. -0.00005 What is -24100 rounded to the nearest 1000? -24000 What is 0.02462 rounded to three decimal places? 0.025 What is 2.869 rounded to 1 decimal place? 2.9 Round -0.000001957 to 7 dps. -0.000002 Round -0.00000551 to six dps. -0.000006 What is -1115080 rounded to the nearest ten thousand? -1120000 What is 135540 rounded to the nearest 10000? 140000 Round -0.0053313 to 3 decimal places. -0.005 Round -2822410 to the nearest 100000. -2800000 Round 124000 to the nearest ten thousand. 120000 What is -41.63 rounded to the nearest integer? -42 What is -0.19379 rounded to 1 decimal place? -0.2 Round -334.5 to the nearest 10. -330 Round 0.074 to two dps. 0.07 What is 0.0000004998 rounded to 7 dps? 0.0000005 What is 0.0003852 rounded to five dps? 0.00039 What is 31011000 rounded to the nearest one million? 31000000 What is -7069000 rounded to the nearest one million? -7000000 What is -215340 rounded to the nearest 10000? -220000 What is -14030 rounded to the nearest ten thousand? -10000 What is -22830 rounded to the nearest one hundred? -22800 What is 5602800 rounded to the nearest ten thousand? 5600000 What is 0.00005947 rounded to 5 dps? 0.00006 What is 92799 rounded to the nearest ten thousand? 90000 Round -22530000 to the nearest one million. -23000000 What is -0.00000977 rounded to 6 decimal places? -0.00001 What is -0.00005931 rounded to 6 decimal places? -0.000059 What is 0.15856 rounded to 3 dps? 0.159 Round 17180 to the nearest one hundred. 17200 What is 0.0062515 rounded to three dps? 0.006 Round -0.055 to two decimal places. -0.06 What is -984.4 rounded to the nearest one hundred? -1000 What is -339 rounded to the nearest 100? -300 What is 0.00000105752 rounded to seven decimal places? 0.0000011 Round -50595000 to the nearest one million. -51000000 Round 0.657 to 1 decimal place. 0.7 What is 0.001076 rounded to 4 decimal places? 0.0011 Round 1361100 to the nearest ten thousand. 1360000 Round -36.778 to one dp. -36.8 What is 0.02578 rounded to two dps? 0.03 What is 132680 rounded to the nearest one thousand? 133000 Round 15040000 to the nearest 1000000. 15000000 What is 12300 rounded to the nearest ten thousand? 10000 Round 1.871 to 1 decimal place. 1.9 What is 113630000 rounded to the nearest one million? 114000000 What is 0.038848 rounded to 2 decimal places? 0.04 Round 84690 to the nearest 10000. 80000 What is -2.14632 rounded to one dp? -2.1 Round -37723000 to the nearest one million. -38000000 Round -0.061004 to three decimal places. -0.061 What is 9580 rounded to the nearest one thousand? 10000 What is -1.0814 rounded to 1 dp? -1.1 Round 857 to the nearest one hundred. 900 Round -0.00001547 to 6 dps. -0.000015 Round 1383 to the nearest one hundred. 1400 What is -24000 rounded to the nearest ten thousand? -20000 What is 1.4136 rounded to two decimal places? 1.41 Round -11164.8 to the nearest one hundred. -11200 Round -0.000002154 to six decimal places. -0.000002 What is 404870 rounded to the nearest one hundred thousand? 400000 Round 0.227 to zero decimal places. 0 What is -120 rounded to the nearest 1000? 0 What is -0.7614 rounded to the nearest integer? -1 What is -1.518 rounded to two decimal places? -1.52 What is -0.000786 rounded to four decimal places? -0.0008 Round 0.00028737 to six decimal places. 0.000287 Round -4207000 to the nearest 100000. -4200000 Round 0.0051107 to 5 dps. 0.00511 What is 576000 rounded to the nearest 100000? 600000 What is 0.00009792 rounded to 5 decimal places? 0.0001 What is -2149990 rounded to the nearest one hundred thousand? -2100000 What is 257611 rounded to the nearest ten thousand? 260000 Round -1547000 to the nearest 100000. -1500000 Round 0.000006488 to six decimal places. 0.000006 What is -0.00000393 rounded to five dps? 0 Round 94520 to the nearest one thousand. 95000 What is 0.319327 rounded to two decimal places? 0.32 Round 0.000072186 to five decimal places. 0.00007 Round -0.0000003636 to seven dps. -0.0000004 What is 10923.1 rounded to the nearest 100? 10900 What is 0.000009939 rounded to 7 decimal places? 0.0000099 Round 72500 to the nearest 1000. 73000 Round 109.906 to 0 decimal places. 110 What is -0.0000104 rounded to 5 dps? -0.00001 What is 34150 rounded to the nearest ten thousand? 30000 Round -63780 to the nearest ten thousand. -60000 Round 29360000 to the nearest 1000000. 29000000 What is 0.032808 rounded to 4 decimal places? 0.0328 What is -0.00048603 rounded to four dps? -0.0005 What is -0.000000381 rounded to 7 decimal places? -0.0000004 Round 0.000001558 to seven decimal places. 0.0000016 Round -0.000003113 to six dps. -0.000003 Round -0.00000013888 to 7 dps. -0.0000001 Round -0.16372 to one decimal place. -0.2 Round -0.00041 to four decimal places. -0.0004 Round 24200 to the nearest 10000. 20000 Round 0.012616 to 3 dps. 0.013 What is -0.003517 rounded to three decimal places? -0.004 What is -51681 rounded to the nearest 10000? -50000 Round 0.002098 to 4 decimal places. 0.0021 What is 0.00000317 rounded to six decimal places? 0.000003 What is 0.000854 rounded to 4 dps? 0.0009 What is -1187 rounded to the nearest 100? -1200 Round 0.01827 to 2 dps. 0.02 What is -4380000 rounded to the nearest one million? -4000000 What is 31.672 rounded to zero dps? 32 What is 89.016 rounded to 1 decimal place? 89 Round -0.83 to 0 decimal places. -1 What is -357.2 rounded to the nearest 100? -400 What is 1.647 rounded to 1 decimal place? 1.6 What is -3.952 rounded to the nearest integer? -4 What is 0.000010732 rounded to 6 dps? 0.000011 Round 694.39 to the nearest ten. 690 Round -1149 to the nearest one hundred. -1100 What is 11.354 rounded to zero dps? 11 Round -250 to the nearest 100. -300 Round -4841200 to the nearest one million. -5000000 What is 0.057172 rounded to 3 dps? 0.057 What is -0.35251 rounded to 2 dps? -0.35 Round 30540000 to the nearest 1000000. 31000000 What is 6624000 rounded to the nearest 1000000? 7000000 Round 0.00016114 to 6 decimal places. 0.000161 What is 0.00275768 rounded to five dps? 0.00276 Round 0.002854 to 3 dps. 0.003 What is 0.00008247 rounded to 6 decimal places? 0.000082 What is 20.57 rounded to the nearest 10? 20 Round 0.00101875 to five dps. 0.00102 Round 0.00004228 to 6 dps. 0.000042 What is -225480 rounded to the nearest one thousand? -225000 What is -3538 rounded to the nearest one thousand? -4000 Round -0.000019059 to six dps. -0.000019 What is 0.000465 rounded to five decimal places? 0.00047 What is 2831600 rounded to the nearest 1000000? 3000000 Round 642.58 to the nearest one hundred. 600 Round 0.8137 to one dp. 0.8 What is 1.59903 rounded to 1 dp? 1.6 Round 0.00028881 to five decimal places. 0.00029 Round -0.000000844 to six dps. -0.000001 Round 266300 to the nearest 10000. 270000 Round 3.95 to the nearest integer. 4 What is -0.152 rounded to 1 decimal place? -0.2 Round -0.0050357 to 5 decimal places. -0.00504 Round 23050 to the nearest 1000. 23000 Round 878 to the nearest 10. 880 Round 0.000004285 to seven dps. 0.0000043 Round 9.68 to one decimal place. 9.7 Round 0.078 to two dps. 0.08 What is -66.6 rounded to 0 decimal places? -67 What is -9.296 rounded to zero dps? -9 Round -440 to the nearest 10. -440 Round -0.045102 to four dps. -0.0451 Round 1522 to the nearest one hundred. 1500 What is 372000 rounded to the nearest one million? 0 Round 79480 to the nearest 1000. 79000 What is 963 rounded to the nearest 100? 1000 Rou
{ "pile_set_name": "DM Mathematics" }
3)*(o + 2 - 2) + 2*o + o - 5*o)*(-2*o**4 + 5*o**2 - 5*o**2 - 3*o**2) - 3*o**5 - 2*o**5 - o**5. 2*o**5 + 12*o**3 Expand 2*o**3 + 2*o**3 - 2*o**3 + (6 - 6 + o)*(-10*o**2 + 14*o**2 + 10*o**2). 16*o**3 Expand (-5 + 2 + 1)*(0*d + 2*d - 3*d) - 8*d + 4*d - 10*d + 1. -12*d + 1 Expand 0*a**4 - 3*a**4 + a**4 + (12*a**2 + 15*a**2 - 12*a**2)*(0*a**2 + 2*a**2 + 0*a**2). 28*a**4 Expand (-1 + 1 + 6*h)*(-2*h**2 - h + h) - 3*h**2 + 3*h**2 + h**3 + 4*h**3 - 5*h**3 + 2*h**3 - 2*h**3 - h + h. -12*h**3 Expand (-2*d + 0*d + 4*d)*(2*d - d - 3*d)*(8 - 1 - 20). 52*d**2 Expand (12*n**3 - 34*n**3 - 64*n**3)*(-2*n**2 - 3 + 3). 172*n**5 Expand (-2*u + 1 - 1)*(-2 + 4 - 3)*(232*u**4 + 26*u**4 - 60*u**4). 396*u**5 Expand (7 + 1 - 14)*(3*k + k**3 - 3*k)*(3*k + 0*k - k). -12*k**4 Expand (2 - 4 + 1)*(y**3 - 4*y + 4*y) - y**3 - y**2 + 3*y**3 + 4*y**2. y**3 + 3*y**2 Expand (-5*q**2 + 0*q**2 + 2*q**2)*(3*q**3 + 2*q**3 - 3*q**3). -6*q**5 Expand ((-1 + 2 - 3)*(-3*l + 4*l - 2*l) - 5*l + 4*l - 2*l)*(1 - 2 - 4). 5*l Expand (2 - 4 + 4)*(-8*o - 9 + 9)*(2*o - 2*o + o)*(-3 + 4 - 3). 32*o**2 Expand -3 + 71*h + 1 + 3 + 2*h - 4*h + h + (2*h - 4*h + 3*h)*(-4 + 4 - 1). 69*h + 1 Expand (-o - 3*o + 2*o)*(1 - 4 - 1)*(3 + 5 - 3). 40*o Expand l**2 - 6*l**2 - 14*l**2 + (-3*l + 3 - 1 + 2*l)*(-l + 0*l + 3*l). -21*l**2 + 4*l Expand (-13*u**2 - u**4 + 13*u**2)*(2*u + 3 - 10 + 11). -2*u**5 - 4*u**4 Expand (y**3 + y**2 - y**2)*(0*y**2 + 3*y**2 + 6 - 3). 3*y**5 + 3*y**3 Expand 0*o + 0*o - o + o - o + 2*o + (3*o - o + 0*o)*(-2 + 0 + 0). -3*o Expand (0*k**4 + k**4 + 0*k**4)*(-6 + 8 + 4)*(2*k + 2*k - 2*k)*(0 + 1 - 3). -24*k**5 Expand t**2 - 2*t**2 + 3*t**2 + (2*t - t + t)*(-1 + 2*t + 1) + (-1 + 1 - t)*(1 - 6 + 3)*(-4 - 2*t + 4). 2*t**2 Expand (-i**2 - 2*i**2 + 2*i**2)*(i**3 + i**3 + 2*i**3) - i**5 + 0*i**5 + 2*i**5. -3*i**5 Expand 0*t**4 - 4*t**4 + 7*t**4 + (-3*t**3 + t**3 + 0*t**3)*(1 + 2*t - 1) + (-t**2 + 5 - 5)*(2*t**2 + 4*t - 4*t). -3*t**4 Expand (-8 + 2 - 1)*(f**2 + f - f). -7*f**2 Expand (0*i + 2*i - i + (2 - 2 + 2*i)*(-5 + 2 + 1) - 4 - i + 4)*(2*i**2 + 11*i**2 + 11*i**2) - 5*i**2 + 5*i**2 + i**3. -95*i**3 Expand 48*n**5 + 351 - 351 + 2*n**5 - 2*n**5 + 2*n**5 + (-n**2 - 2*n**2 + 2*n**2)*(3*n - 2*n**3 - 3*n) + n**5 + 0*n + 0*n. 53*n**5 Expand (-3 - 3 + 78*j**3 - 80*j**3)*(-5 + 5 - 2*j) - 3*j**4 + 4*j**4 + j**4. 6*j**4 + 12*j Expand (-5*w**2 + 2*w**2 + w**2)*(-33*w**3 - 11*w**3 + 9*w**3). 70*w**5 Expand (i**2 - 5*i**2 + 5*i**2)*(3 - 3 - 2*i) + i**3 + i**3 - 4*i**3 + 2 + 0*i**3 - 4*i**3 + 3*i**3. -5*i**3 + 2 Expand 3 + 2*s**2 - 3 + (-s - 1 + 1)*(5*s - 3*s - s). s**2 Expand (0*v + 4*v - v)*(-6*v**2 - 7*v**2 + 4*v + 8*v**2). -15*v**3 + 12*v**2 Expand 5 - 5 + 6*n**2 + (0*n + n + n)*(-2 - n + 2) - 2*n**2 - 10 + 10 + (-5*n + n + 3*n)*(0*n - n + 2*n) + 2*n**2 - 3*n**2 - n**2 - n**2 - 2*n**2 + n**2. -3*n**2 Expand (-3*t + 3*t - t**2)*(-19*t - 49*t + 7*t). 61*t**3 Expand (-2*m + 2*m - m)*(-1 + 2*m + 1) + 7*m**2 + 12*m**2 - 11*m**2. 6*m**2 Expand (-h**3 + 3*h**3 - h**3)*(5 - 3 - 1) + 2 - 2*h**3 - 2 + 3*h**3 + 7*h**2 + 8*h**2 - 11*h**2 - 2. 2*h**3 + 4*h**2 - 2 Expand (-i**4 + 0*i**3 + 0*i**3 + 2*i**3)*(1 - 2 - 1 + (-1 + 1 - 2)*(0 + 1 - 2) - 3 + 0 + 2 + 5 - 3 + 0 - 2 + 2 + 1). -2*i**4 + 4*i**3 Expand -3*v + 3*v - v + (-1 + 0 + 3)*(6*v - v - 6*v). -3*v Expand -s**3 - 5*s**3 + 9*s**3 + (2*s**2 + 2*s**2 - 3*s**2)*(-2 + 2 - 2*s) + s**3 + s - s + s**3 - 2*s**3 - 2*s**3. -s**3 Expand (-4*a + 2*a - a)*(0 + 3 - 1 - a**2) + a**3 - 2*a**3 - a**3. a**3 - 6*a Expand (0 - 4 + 0)*(-2 - 3*c + 2) + 3*c - 3*c - 2*c. 10*c Expand (0*x**3 + 1 + 0*x**3 + 2*x**3)*(0*x - x - 13*x). -28*x**4 - 14*x Expand (0 + 2*y + 0)*(-6 + 18*y**2 - 5*y**2 - 10*y**2). 6*y**3 - 12*y Expand (-1 + 1 - 2*i)*(-5*i + 2*i + 2*i) - 368*i**2 + 408*i**2 - 9 + 9. 42*i**2 Expand (o**2 - o**2 - o**2)*(-4*o**2 + o - o) + (-1 - o**3 + 1)*(-2*o + 2*o + 2*o). 2*o**4 Expand 2*o**5 + 0*o**4 + 2*o**2 + 0*o**4 + o**5 + 0*o**5 + 0*o**5 + (-2*o**2 + 0*o**2 + 4*o**2)*(-3*o**2 - o**3 + 3*o**2) + 62*o**3 + 14*o**5 - 62*o**3. 15*o**5 + 2*o**2 Expand (4 + 1 - 3)*(4*i + i - 8*i)*(2 - 2 + 2). -12*i Expand (-2*t - 2 + 3 - 2)*(15 - 15 - 57*t + (3*t + 0*t - t)*(1 + 4 - 4) + t + t - t + 2*t + 0*t - 3*t). 110*t**2 + 55*t Expand (-b + 4 - 4)*(-8 - 10 + 2*b + 17). -2*b**2 + b Expand (4*z**2 + z - 2*z - 5*z**2)*(55 - 55 + 8*z). -8*z**3 - 8*z**2 Expand -60*h**3 - 307 + 307 + (0*h**3 + h**3 + h**3)*(-3 + 0 + 4). -58*h**3 Expand -2*g**4 - 2*g**4 + 3*g**4 + g**3 - g**4 - g**3 + (2 + 0 - 3)*(4*g - 4*g + 2*g**4) - 4*g**4 - g**4 + 3*g**4 + g**4 + 2*g**4 - 4*g**4. -7*g**4 Expand 9*i**5 + 5*i**5 - 4*i**5 + (4*i**2 - 4*i**2 - i**3)*(-i**2 + i**2 - 3*i**2). 13*i**5 Expand 0*n + 0*n + n**4 - 3*n**4 + 4*n**4 - 2*n**4 + (0*n**4 - 5*n**4 + 4*n**4)*(-3 + 4 - 3) + 3*n**3 + 2*n**4 - 3*n**3 - n**4 - 20*n - 18623*n**2 + 18623*n**2. 3*n**4 - 20*n Expand (-3*q + 3*q + 2*q)*((-3*q**2 + 6*q**2 - q**2)*(0 + q + 0) - 5*q**3 + 3*q**3 + q**3). 2*q**4 Expand (37 - j - 37 + 10*j**2)*(3*j - 2*j + 8*j). 90*j**3 - 9*j**2 Expand (-3*j + 2*j + 4*j)*((2*j - 5 + 5)*(-2*j + j + 3*j) + j**2 - j**2 + j**2 + j**2 + j**2 - 6*j**2). 3*j**3 Expand 4*q**2 - 4*q**2 - q**2 + (0*q + 2*q + 0*q)*(-2*q + 2*q - q) + 0 + 0 - 2*q**2 - q**2 - q**2 + 0*q**2 + 4*q**2 - 6*q**2 + 6*q**2. -3*q**2 Expand (-7*d + 7*d - 5*d**3)*(-d - 2*d + d) - d**4 - 1 - 3*d**4 + 5*d**4. 11*d**4 - 1 Expand (-3*u + 4*u - 2*u)*(6 + 14 + 1)*(-2*u**2 + 3*u**2 + u**2). -42*u**3 Expand ((-5 + 5 - 1)*(0*m + 3*m + 0*m) - 15 - 2*m + 15)*(m**4 + 0*m**4 + 2*m**4). -15*m**5 Expand (2*a**2 - 3*a**2 - a**2)*(-6*a**2 + 4*a - 5*a + 2*a**2). 8*a**4 + 2*a**3 Expand (1 - 2*a + 2*a + 3*a**2)*(-3 - 1 + 1). -9*a**2 - 3 Expand v**2 - 2*v**2 + 3*v**2 + (-5 + 5 + v)*(-2*v + 2*v + 2*v). 4*v**2 Expand (-c - c + 0*c)*(1 - 1 + c) - 1269 + 61*c**2 + 1269. 59*c**2 Expand (-34 + 0*s - 3*s + 2*s)*(-1 - s**2 + 1). s**3 + 34*s**2 Expand (-24*n + 16*n + 5 + 13*n)*(-2 - n + 2). -5*n**2 - 5*n Expand (-2 + 0 + 0)*(-10*w**2 + 0*w - w + 13*w**2). -6*w**2 + 2*w Expand (-18*h**3 - 10*h**3 - 35*h**3)*(-3*h - h + 3*h + (-h - 3*h + 3*h)*(1 - 1 + 2) - 2*h - 2 + 2). 315*h**4 Expand (2 + 0 + 0)*(-k**5 + 4*k**5 - 2*k**5 + 62*k - 62*k + 26*k**5 + (-5*k**5 + 2*k**5 + 4*k**5)*(-3 + 1 + 0)). 50*k**5 Expand (-5*q + 54 + 3*q + 4*q)*(3*q - q + 0*q). 4*q**2 + 108*q Expand (-t + t - t)*(70 + 41 - 37). -74*t Expand -4*k**5 + k**5 + 2*k**5 + (-6*k**4 + 3*k**4 + 2*k**4)*(-2*k - 2*k + 6*k) - 2*k**5 - 4*k**5 - 3*k**5 + k**5 - 2*k**5 - k**5 + k**5 + 0*k**5 + k**5. -12*k**5 Expand (1 + w - 1)*(w - w + w**2) + (-4 + 4 - 4*w)*(-1 + 2*w**2 + 1) + 0*w + 3*w**3 + 0*w. -4*w**3 Expand ((2*h + 3*h - 4*h)*(4 - 6 + 4) + 2*h + 0*h + h - 3*h + 3*h + h)*(6*h - 6*h - 3*h**3). -18*h**4 Expand -2*d**4 - 2*d**4 + 6*d**4 - d**4 + 0*d**4 + 0*d**4 + (d**2 + 3*d - 3*d)*(d**2 - d**2 + 2*d**2) + 4*d**4 + 13*d**4 - 5*d**4. 15*d**4 Expand (b + 0 + 0)*(-b**3 + b**3 + b**4) - 14*b**5 + 20*b**4 - 20*b**4. -13*b**5 Expand (0*j**2 + 3*j**2 - 2*j**2)*(j + j + 0*j + (-3 + 3 + 2)*(-j - 3*j + 6*j) - 2*j + 2*j + 2*j + 3 - 2*j - 3*j + 4*j). 7*j**3 + 3*j**2 Expand (-3 + 3 - 4*n)*(-4*n**2 + 2*n**2 + 0*n**2) + (-n - n + n)*(2*n**2 - 5*n**2 + 5*n**2) - 2*n**3 + 9*n**3 - 2*n**3. 11*n**3 Expand (-10*s + 10*s + 4*s**3)*(4 - 4 + 5). 20*s**3 Expand i**4 - 2*i**4 + 3*i**4 + (-2*i**2 + 0 + 0 + (-5*i + 0*i + 4*i)*(-2*i + 2 - 2) + i - i + 2*i**2)*(-i**2 + 6*i**2 - 3*i**2). 6*i**4 Expand 2*m - m + m - 1 + (1 - 2 + 7)*(m + 2 - 2). 8*m - 1 Expand 1 + 2*k**5 - 1 + 0*k**5 - 2*k**5 + 3*k**5 + 0 + k**5 + 0 + (-3 - k**3 + 3)*(0 - k**2 + 0) + 2*k**5 - k**5 + 2*k**5. 8*k**5 Expand (1 - 1 + 2*n)*(12 + 3*n**4 - 12). 6*n**5 Expand (-3 + 1 - 1)*(-8*v**3 + v**3 + 16*v**3). -27*v**3 Expand u**2 - 2*u**2 + 2*u**2 + (0*u - u - 8*u)*(-4 + 4*u + 4). -35*u**2 Expand ((2*s - 2*s - 2*s**2)*(-2*s + 4*s - 3*s) - s**3 + s**3 + 6*s**3)*(-4 + 3 - 1). -16*s**3 Expand (0*n + 2*n - 3*n)*(3*n + 4*n - 4*n - n - 3*n + 5*n + (-1 - 2 + 5)*(-n + 2*n - 3*n) - n + n - n + 0 - 2*n + 0). 3*n**2 Expand (j - j - 2*j**2)*(-j + 2 + 11*j - 7*j**3 + 9*j**3). -4*j**5 - 20*j**3 - 4*j**2 Expand ((-5 + 5 - 1)*(r - 2 + 2) - r + 0*r + 0*r)*(-2 + 2 + 5*r). -10*r**2 Expand (-4*o**3 - 4*o**3 + 2*o**3)*(4*o - 6*o + 6*o). -24*o**4 Expand (3 - 1 - 4)*(2*l**2 - 3*l**2 + 2*l**2). -2*l**2 Expand (0 - 2 + 0 + 5 - 1 - 1 + (0 + 2 - 4)*(1 - 3
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 1 t, 1 g, 1 s, and 1 d when four letters picked without replacement from {s: 1, t: 3, c: 4, d: 5, g: 1, q: 1}? 1/91 Two letters picked without replacement from sszsszsszssszzsssz. Give prob of picking 2 z. 5/51 What is prob of picking 1 m and 1 v when two letters picked without replacement from {g: 1, e: 1, m: 3, y: 2, v: 3, q: 1}? 9/55 Four letters picked without replacement from {d: 1, p: 1, g: 2, k: 5}. Give prob of picking 1 d, 1 p, and 2 k. 5/63 What is prob of picking 1 w and 1 k when two letters picked without replacement from wwwmwmwwkkwkwfwwwkw? 16/57 Calculate prob of picking 3 a when three letters picked without replacement from {i: 10, a: 4}. 1/91 Calculate prob of picking 1 t and 1 c when two letters picked without replacement from pulptptpapclppupt. 3/136 What is prob of picking 2 x when two letters picked without replacement from {x: 3, w: 9}? 1/22 What is prob of picking 1 j and 1 d when two letters picked without replacement from {e: 4, b: 2, j: 4, d: 5, u: 1}? 1/6 Two letters picked without replacement from gkdgddkkqdgdkkg. Give prob of picking 1 d and 1 q. 1/21 Calculate prob of picking 3 m when three letters picked without replacement from {c: 10, m: 10}. 2/19 Two letters picked without replacement from iiijji. What is prob of picking 1 j and 1 i? 8/15 Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {s: 4, p: 3, d: 8, c: 1, o: 2, m: 2}. 1/95 Four letters picked without replacement from bazaaaazzacczzazaza. Give prob of picking 2 c, 1 b, and 1 z. 7/3876 Calculate prob of picking 3 m when three letters picked without replacement from {m: 18, u: 1}. 16/19 Calculate prob of picking 1 v and 2 i when three letters picked without replacement from invvinvnniv. 4/55 Two letters picked without replacement from {a: 11, q: 9}. What is prob of picking 2 a? 11/38 Three letters picked without replacement from {h: 1, o: 1, t: 2, w: 4, s: 3}. Give prob of picking 1 t, 1 h, and 1 w. 8/165 What is prob of picking 3 f when three letters picked without replacement from mymxfyyyyyfzyfxyyyzx? 1/1140 Two letters picked without replacement from zazdaznazdnndnann. Give prob of picking 1 n and 1 a. 3/17 Three letters picked without replacement from wwawwwawww. What is prob of picking 3 w? 7/15 Two letters picked without replacement from ddulddcdiu. What is prob of picking 1 d and 1 u? 2/9 Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {l: 1, j: 9, k: 1, d: 3, b: 3, x: 1}. 1/17 Four letters picked without replacement from wwwnwnoowwnn. What is prob of picking 1 o and 3 w? 8/99 Four letters picked without replacement from jqqiqqrqrnrv. What is prob of picking 1 i, 1 j, 1 n, and 1 v? 1/495 Two letters picked without replacement from {q: 1, a: 3, v: 2, u: 1, b: 3}. What is prob of picking 1 b and 1 u? 1/15 Two letters picked without replacement from iiiaiiaiii. What is prob of picking 1 a and 1 i? 16/45 What is prob of picking 1 d and 1 e when two letters picked without replacement from {d: 1, u: 1, e: 1}? 1/3 Two letters picked without replacement from ibbbiibb. Give prob of picking 2 b. 5/14 Calculate prob of picking 2 x when two letters picked without replacement from qqqlqxwwlwqllxxlq. 3/136 Three letters picked without replacement from {y: 1, a: 4, b: 1, m: 5}. What is prob of picking 1 b and 2 a? 2/55 Three letters picked without replacement from {f: 9}. What is prob of picking 3 f? 1 Calculate prob of picking 1 x, 1 i, and 2 e when four letters picked without replacement from exxxeiexiiix. 4/33 Two letters picked without replacement from {v: 3, y: 4, h: 1}. Give prob of picking 2 y. 3/14 Four letters picked without replacement from soodostttot. What is prob of picking 2 o, 1 d, and 1 s? 2/55 Two letters picked without replacement from {s: 4, d: 1, l: 1, p: 1, c: 1}. Give prob of picking 1 d and 1 s. 1/7 Two letters picked without replacement from {e: 2, k: 1, b: 1, t: 1, p: 1, f: 9}. Give prob of picking 1 t and 1 p. 1/105 Two letters picked without replacement from ccbppppbpcpccpccccp. Give prob of picking 2 c. 4/19 Two letters picked without replacement from mqaq. What is prob of picking 2 q? 1/6 What is prob of picking 4 h when four letters picked without replacement from {h: 9}? 1 What is prob of picking 1 b, 1 x, and 1 g when three letters picked without replacement from {x: 2, h: 4, t: 3, y: 2, b: 2, g: 1}? 1/91 Calculate prob of picking 1 d, 1 j, and 2 h when four letters picked without replacement from {t: 1, h: 2, d: 2, o: 1, j: 1, x: 1}. 1/35 Calculate prob of picking 2 j when two letters picked without replacement from {u: 2, j: 2}. 1/6 Three letters picked without replacement from csccwwscssssws. Give prob of picking 1 w and 2 c. 9/182 Three letters picked without replacement from npnnnnppnnpnxpxpn. What is prob of picking 2 n and 1 x? 9/85 Three letters picked without replacement from {r: 2, e: 3, j: 5, g: 1, q: 1, p: 1}. Give prob of picking 1 r and 2 p. 0 Three letters picked without replacement from brbabyraysgrryg. Give prob of picking 1 g, 1 b, and 1 a. 12/455 What is prob of picking 2 u and 2 e when four letters picked without replacement from uellegeelleuulu? 4/91 Calculate prob of picking 2 x when two letters picked without replacement from {z: 2, x: 8}. 28/45 Two letters picked without replacement from kngmgkmmhk. What is prob of picking 2 g? 1/45 What is prob of picking 1 h and 2 x when three letters picked without replacement from {h: 5, x: 9}? 45/91 Calculate prob of picking 3 n when three letters picked without replacement from nlnnnnnnnln. 28/55 Calculate prob of picking 2 k, 1 z, and 1 q when four letters picked without replacement from kzqkzkkqkqz. 3/11 Four letters picked without replacement from {k: 4, u: 6, f: 4, i: 3}. Give prob of picking 4 u. 3/476 Three letters picked without replacement from eepppep. What is prob of picking 3 e? 1/35 Calculate prob of picking 2 n and 2 l when four letters picked without replacement from nnlllllllllnll. 15/91 What is prob of picking 1 z and 2 h when three letters picked without replacement from hhhzz? 3/5 What is prob of picking 3 w when three letters picked without replacement from iiiiwwiiwwwwiiiw? 1/16 What is prob of picking 3 k and 1 u when four letters picked without replacement from {a: 4, k: 5, j: 6, u: 1}? 1/182 Two letters picked without replacement from kkkvvkvvvgkgv. Give prob of picking 2 k. 5/39 What is prob of picking 1 x and 1 z when two letters picked without replacement from xpxpzxzxxxppxpxxxdx? 22/171 Three letters picked without replacement from gragaogggrgmggaggggo. What is prob of picking 1 o and 2 r? 1/570 What is prob of picking 3 p when three letters picked without replacement from {p: 9}? 1 Two letters picked without replacement from {q: 5, j: 2}. Give prob of picking 2 j. 1/21 Two letters picked without replacement from {h: 2, m: 2, p: 1, j: 2, b: 4, w: 4}. What is prob of picking 1 b and 1 j? 8/105 Two letters picked without replacement from {g: 4, p: 3, q: 3, h: 1}. What is prob of picking 1 g and 1 h? 4/55 Two letters picked without replacement from {g: 6, m: 5, q: 3, w: 1, v: 2}. Give prob of picking 1 w and 1 v. 1/68 What is prob of picking 3 f when three letters picked without replacement from {f: 3}? 1 Three letters picked without replacement from gtggppbgzpgbgggbp. Give prob of picking 2 p and 1 g. 6/85 Three letters picked without replacement from jjjcjjjcjccjcjjjjj. What is prob of picking 1 j and 2 c? 65/408 What is prob of picking 1 j and 1 w when two letters picked without replacement from jwwwjbwj? 3/7 What is prob of picking 2 j when two letters picked without replacement from {t: 2, j: 3}? 3/10 Four letters picked without replacement from gmggggmggmgggggggm. Give prob of picking 4 m. 1/3060 Calculate prob of picking 1 y and 3 b when four letters picked without replacement from {n: 1, y: 1, b: 9}. 14/55 Three letters picked without replacement from fpfppfppppfppppppf. What is prob of picking 1 f and 2 p? 65/136 Three letters picked without replacement from {v: 5}. Give prob of picking 3 v. 1 Three letters picked without replacement from {r: 4, a: 8, e: 5}. What is prob of picking 1 e and 2 a? 7/34 Two letters picked without replac
{ "pile_set_name": "DM Mathematics" }
e (36/(-28) + 1)/((-6)/(-7)). What is the smallest value in 0.21, m, 2/9, 4/9? m Let l = 97 + -98. Let k = -0.8 - 0.2. Let z = l - k. Which is the third biggest value? (a) z (b) -3 (c) -1 b Let g be 4*(-5)/(10 - 5). What is the third smallest value in 0.3, 3/16, 3, g? 0.3 Let u = -0.0083 + 3.0083. Which is the smallest value? (a) 1 (b) -12 (c) u b Let o = 258 - 2061/8. Which is the smallest value? (a) o (b) 1/11 (c) 0.2 (d) -1.5 d Let w be (-12)/(-10) - (0 - -1). Let u = 2 - 47. Let s = -49 - u. What is the third smallest value in s, w, -0.4? w Let r = -26 - -24. Let o be r/3 + 1542/(-9). Let u = o + 2582/15. Which is the smallest value? (a) -5 (b) u (c) -0.12 a Let x = 4 - 8. Suppose 24*l - 30 = 18. Let r = -6 + 5.6. Which is the second biggest value? (a) l (b) x (c) r c Let s = 297.3 - 298. What is the second smallest value in -2, s, 0.4, -2/17? s Let w = -879 - -796. What is the second biggest value in 3, -1/5, w? -1/5 Let x = -456.95 - -457. What is the second biggest value in x, -3/5, -0.5, 15? x Let c be -1 - -2 - (-18)/(-15). Let q = -17.6 - -17. Let t = -0.6 - q. What is the third smallest value in c, t, 0.5? 0.5 Let z = 46 + -39. Suppose 0 = -v - f + z, -f = 3*f - 8. Which is the second smallest value? (a) v (b) 2 (c) -3/4 b Let t = 1.5 - 1. Let f be (-3)/6 + (-1 - 21/(-6)). Which is the smallest value? (a) t (b) f (c) -1 c Let o = 67 + -66.95. Which is the biggest value? (a) -1/3 (b) o (c) -3/17 b Let o = -44.19 - -44. Let s = -219 - -3284/15. Let q = s - 7/120. Which is the second biggest value? (a) q (b) 2 (c) o a Let x = 0.2 + 0.2. Let m be 27/((-1)/(-1))*(-4)/(-78). Which is the biggest value? (a) m (b) 0.1 (c) x a Let q = -0.06 + -0.94. Let z = 1.1 + q. Let h = 1.9661 + 0.0339. Which is the third biggest value? (a) 0.4 (b) z (c) h b Let t = -1860 - -1864. Which is the third biggest value? (a) 0.2 (b) t (c) 17 a Let y be (-15)/(450/(-280)) + -12. Which is the second smallest value? (a) -1 (b) -0.1 (c) 1 (d) y a Let a = -73 - -73.4. What is the fourth biggest value in 238, a, -0.5, -4/7? -4/7 Let g be (-1872)/(-928) + 3/(-1) + 1. Let t = -73/29 + g. Which is the third biggest value? (a) -2/7 (b) t (c) 5 (d) -1 d Suppose -1 - 14 = 5*t. Let m be (9/6 - 1)*(-128 + 126). Which is the second biggest value? (a) 0 (b) 0.4 (c) m (d) t a Let j = 1498 - 1886. What is the biggest value in 1/7, -2, -1/5, j? 1/7 Let g = 0.01 - 1.11. Let y = -0.1 - g. Let f = -4.2 - -8.2. Which is the biggest value? (a) f (b) y (c) 0.05 a Let j = -1.4 - -1.5. Let i = -0.03 - -1.03. Which is the third smallest value? (a) i (b) j (c) 1/3 a Let p = -127519/930 - 3411/62. Let h = p - -192. What is the second biggest value in 0.1, 0.3, h? 0.1 Let f = -102 - -102.2. Which is the second smallest value? (a) f (b) -2 (c) -3 b Let x be 4/(20/(-5))*(9 - 8). What is the second biggest value in 0.07, x, 0.3, -0.1? 0.07 Let q = 8 - 11. Let u be -5 + (-16)/12*q. Which is the biggest value? (a) u (b) -1/5 (c) 0 c Let g = 430 - 431. What is the biggest value in -1/5, 0.4, g, -2/15? 0.4 Suppose -119*g - 14 = -117*g - 3*y, -g - 2*y = 0. Which is the second smallest value? (a) -1 (b) -0.1 (c) 2 (d) g a Suppose 0 = a - 9*a - 16. Let r = 41 + -41.4. What is the second biggest value in 1.4, r, a? r Let g be ((-28)/(-32))/(1/8). What is the fourth smallest value in g, -0.4, 5/2, 2? g Let l be (-26)/(-104) - (-3)/(12/(-7)). What is the second biggest value in l, -0.5, -6, -0.4? -0.5 Let w be 3 - ((-25)/35 + 1 + 3). Let b = 96 - 101. What is the fourth biggest value in -6, b, w, -0.3? -6 Let r = 31 + -49.3. Let g = -18 - r. Let u = -163/7 - -23. Which is the biggest value? (a) 0.2 (b) u (c) g c Let z be 4/(-5) + (-4)/(-6). Let r be (-1 - 0) + 1/2. Let t(q) = -816*q + 813. Let p be t(1). Which is the second smallest value? (a) z (b) p (c) r c Let t = -22 + 55. Let z = t + -33. What is the biggest value in 2/13, z, -0.2? 2/13 Let n = 0 - -0.5. Let i be (-6)/(-5)*45/(-18). Let v = -2 + i. Which is the second biggest value? (a) v (b) n (c) 2/11 c Let z = -1.409 - -0.809. Let x = -0.3 + -0.2. Let c = x - z. What is the biggest value in c, 0, -5? c Let d = -217 + 221. Which is the second smallest value? (a) -0.08 (b) d (c) 18 b Let z = -0.68 + 0.58. Let s = 1.06 + -0.06. What is the third biggest value in z, s, -1/12? z Let l = -0.169 + 7.169. What is the third biggest value in 5, -0.3, l? -0.3 Let m = -5 + 5.1. Suppose 7 = 18*w - 11. Which is the smallest value? (a) w (b) m (c) 3 b Suppose -3*k - 6*m = -2*m - 4, 0 = 3*m + 6. Let t be k/(-20)*35/21. What is the smallest value in t, 5, 2/7? t Let g = 2.25 - 2.35. What is the second biggest value in 6, -1, 2/5, g? 2/5 Let d = 3 + -2.6. Let g = 279 + -276.19. Let x = -7.19 - g. Which is the second biggest value? (a) 5 (b) x (c) d c Let n = 9.22 + -0.22. Let i = 8.5 - n. Which is the third smallest value? (a) 0.1 (b) i (c) -4 a Let w be ((-1)/2)/((-8)/384). Let a be (w/84)/(1*8). What is the smallest value in 0, -2/5, a? -2/5 Let m = 238.2 + -239.2. Which is the second smallest value? (a) -2/11 (b) m (c) -1/3 c Let g = -18 - -17.93. Let k = g + -0.09. Let p = 0.04 - k. Which is the second biggest value? (a) p (b) 3/8 (c) -2 a Let u = 207 + -202. What is the second smallest value in u, 0.3, 0, 1/4? 1/4 Let j = 0.2 - 0.5. Let h = -2658.1 + 2658. What is the fourth biggest value in 4, -3, h, j? -3 Let k be (-2)/7 - 761/7. Let v be (2/(-22))/(15/(-18015)). Let h = k + v. What is the second biggest value in 1, h, 0.4? 0.4 Let f = 149 + -148.6. What is the second biggest value in -0.05, f, 3, 2/7? f Let i = 181 - 177. Which is the third smallest value? (a) i (b) 1/5 (c) 0.1 (d) 0.161 b Let u = -1754 - -1753.4. Which is the second biggest value? (a) u (b) 0.1 (c) 4 (d) 1/4 d Let u be (1/(2 - 5))/(41/(-246)). What is the biggest value in 20, -3/8, u? 20 Let z = 10 - 19/2. Suppose -2*j + 6*j + 13 = -5*n, -4*n = 4*j + 8. Let f be (5 - j) + (-125)/60. Which is the second smallest value? (a) -5 (b) f (c) z b Let m = 0.0905 + 0.0095. Which is the second smallest value? (a) m (b) 2/29 (c) -0.1 (d) 0 d Let u = -0.06 - -2.21. Let h = u - 2.8. Let l = -0.25 - h. What is the second smallest value in 1, l, 3? 1 Let u = -25.77 + 25. Let d = -5.77 - u. Which is the biggest value? (a) -0.1 (b) d (c) 5 c Let t = -307 + 294. What is the third smallest value in 1, -2, t, 0.5? 0.5 Suppose -5*t = -4*j - 2 - 3, 4*j + 17 = t. Let f = 1057 - 1062. What is the second smallest value in 1/7, t, f? t Let x = -9661 - -9658. Let i = 0.4 + -0.2. Which is the smallest value? (a) i (b) -2/7 (c) 0.05 (d) x d Let q be 342/(-40) - (-11 + 11). Let g = -44/5 - q. What is the smallest value in g, 2, -0.04? g Let k(j) = -j + 11. Let u(o) = o**2 - 7*o - 2. Let f be u(8). Let q be k(f). Suppose -2*r = -q*r. Which is the second biggest value? (a) r (b) 2 (c) 3 b Let m be 640959/15 - 8/(-20). Let j = m + -641527/15. Let q = j - -112/3. What is the third biggest value in -1, q, -3? -3 Let p(c) = -2 + 5*c**3 - 5*c**2 + 2*c**3 - 6*c**3 - 5*c. Let q be p(6). What is the third biggest value in -3/7, q, -3/8, -2? -3/7 Let r = -5335 - -5336. Let i = 2599/17 - 153. Which is the second smallest value? (a) r (b) i (c) -0.2 (d) -0.3 c Let z = 20.094 + -20. Let u = 1.094 - z. What is the second biggest value in 16, 1/8, 1/2, u? u Let b = 0.47 + 3.73. Let z = 8.1 - b. Let h = z + -4. What is the third biggest value in h, 1.1, 0.3? h Let f = 0.035 - 0.935. Let v = -0.8 - f. Which is the third smallest value? (a) v (b) -23 (c) -5 a Let a = -349 - -322. What is the second biggest value in a, -3/2, 4? -3/2 Let l = 0.4 + 4.6. Let f be (-1)/3 + (-633)/(-9). Let h = 348/5 - f. What is the third biggest value in l, h, 0? h Let x = -54.57 - -0.57. Let w = -59 - x. Let k = -4.3 + 4. Which is the smallest value? (a) k (b) 0.5 (c) w c Let h be ((-40)/120)/((-1)/1). What is the fourth biggest value in 0, 37, 5, h? 0 Let m = 126/451 - 4/41. Let p = 61 + -60.5. What is the smallest value in 4, -4, m, p? -4 Let z = 4.588 - -0.412. Let y be ((-32)/12)/(4/(-6)). Let u be (y/(-8))/((-10)/8). What is the third biggest value in z, 1/3, u? 1/3 Let v be (3 - 4)/((-1)/11). Suppose -v*y = -9*y - 2. Let
{ "pile_set_name": "DM Mathematics" }
-10909/27090) Simplify y**8*y/y**(-9)*(y/(y/(y/y**(-4/7)))*y)/(((y/(y/(y**(2/3)*y)*y)*y)/y*y)/y) assuming y is positive. y**(418/21) Simplify (a**(2/7))**(-1/18)*(a/(a*a*(a*a/(a*(a*a**1)/a))/a)*a)**(-41) assuming a is positive. a**(-2584/63) Simplify (h**(-6)*h)/h**(-3/8)*(h**7/h)/(h*h/(h*h*h/(h/(h**(-2/57)*h))*h*h*h*h*h)) assuming h is positive. h**(3347/456) Simplify (m/((m*m**(-3/8)*m)/m))/m**4*(m*m/(m*m**13))**(-5/4) assuming m is positive. m**(91/8) Simplify ((j**(-1))**(-49)*j/(j**(2/11)/j)*(j*j/(j/(j/(j*j/((j/(j/j**(-6/11))*j*j)/j))))*j)/j)**(-14) assuming j is positive. j**(-7896/11) Simplify (f**(2/27)*f*f/f**(-2/9))/(f**(-1)/(f**1*f)) assuming f is positive. f**(143/27) Simplify ((f**6*f**6*f)/((f**5*f)/(f**3/f*f)))**(-4/3) assuming f is positive. f**(-40/3) Simplify (m**(-4/7))**6/(m**14*m*m**10) assuming m is positive. m**(-199/7) Simplify (m**18*m)/m*(m**(-4/3)*m*m)/m*(m/(m/(m**(-1/6)/m*m*m*m*m)))**26 assuming m is positive. m**(274/3) Simplify (y**(-2/5)/y)**(-23)*((y/(((y/(y*y*y*y**3*y))/y)/y*y))/y)/y**(3/7) assuming y is positive. y**(1357/35) Simplify h/h**(1/5)*h*h**(-12)/h*(h/h**(-1/3))/(h/(h*h**(8/5)*h)) assuming h is positive. h**(-109/15) Simplify (((p**(2/17)/p)/p)/p**9*((p/p**(2/11))/p*p)/(p**(1/5)*p))**(2/25) assuming p is positive. p**(-21064/23375) Simplify (((b/(b**(-1)/b)*b*b*b)**(5/7))**(-32))**20 assuming b is positive. b**(-19200/7) Simplify (l*l**8*l*l*l*l**(-9)*l*l**(3/8)*l/l**(2/11))**(-1/11) assuming l is positive. l**(-457/968) Simplify ((b**(2/3)/((b/b**(2/7))/b))/(b*b/((b/(b/b**2))/b)*b)**(-1/5))**(17/3) assuming b is positive. b**(2414/315) Simplify (n*n/(n/n**(-5/6)))/n**(-4/17)*n**33/(n/n**(-34)) assuming n is positive. n**(-163/102) Simplify (((i**(-11/5)/i*i)/i)/i)/(i/(i*i/(i**(-12/5)/i)*i*i))*(i**(-2/13))**(-22) assuming i is positive. i**(363/65) Simplify (d/d**4*d**10*(d*(d/d**1)/d)/d**5)**(-48) assuming d is positive. d**(-96) Simplify ((g*g**(-10))/(g*g**(-6)*g))/((g**(-12)*g)/(g**(-8)*g)) assuming g is positive. 1/g Simplify (n**(-2/15)/n*n)/(((n/n**(-29))/n)/n)*(n*n*n/n**13)/(n**(1/34)/n) assuming n is positive. n**(-18953/510) Simplify (d*(d**(-1/8)/d)/d)**9/((d/d**(-22))/(d*d*d/(d*d**(-2/25)))) assuming d is positive. d**(-6209/200) Simplify ((y**18)**(1/2))**(-22) assuming y is positive. y**(-198) Simplify (h**11/((((h/(h**6*h*h))/h*h)/h)/h))/((h*h*h/h**(-1/2)*h*h*h)/h)**(-25) assuming h is positive. h**(315/2) Simplify (k*k/(k*k**(-2/5))*k*k**(-1/14)/k)/((k**13*k)/k**(-1)) assuming k is positive. k**(-957/70) Simplify (x**(-3/16))**(-3)/(x/(x/(x**(-9/7)/x*x)))**(-13/3) assuming x is positive. x**(-561/112) Simplify ((((b*b**7)/b)/((b*b**(-6)/b)/b))/(b**(-1)/(b*b/b**(2/11))))**(-15) assuming b is positive. b**(-2775/11) Simplify (v/(v*v/(v/v**(-4/5))))**22*v*v**(1/3)/v*v/(v*((v*v/(v**(6/7)*v))/v)/v)*v assuming v is positive. v**(2183/105) Simplify ((l**7*l/((l*l*l/(l**(1/2)*l*l*l*l*l*l))/l))**(-3))**(-17/4) assuming l is positive. l**(1275/8) Simplify a**(-2)/a*a**17*(a**(-3))**38 assuming a is positive. a**(-100) Simplify (y/(y/(y/((y*y**26)/y*y)))*y)/(y/(((y/(y**(3/23)*y))/y)/y))*((y*y/((y/y**6)/y))/y)**(3/37) assuming y is positive. y**(-23456/851) Simplify (d/d**(-23))/((d*d*d/(d*d*d**(-2/3)*d))/d*d)*(d/((d**(-10)/d*d*d)/d))**(-35/6) assuming d is positive. d**(-245/6) Simplify ((i/(i/(i*i*(i*i/(i**(-1/4)/i))/i*i)))/i**(2/3))/(i**13/(i*i**(-8))) assuming i is positive. i**(-185/12) Simplify (((n*n**(-1))**(-39))**(-18))**(4/41) assuming n is positive. 1 Simplify ((h/h**(-2))/(h*h/(h*h**(-1))))/((((h/(h**12*h))/h)/h)/h*h*h/(h*h**(-12))) assuming h is positive. h**3 Simplify (((a/a**(1/16)*a)/a*a)/a)**(1/8)*((a**(-5)*a)/a)/a*a**(-3) assuming a is positive. a**(-1137/128) Simplify (v*v**0*v*v**(-7))/(v**13/(v*(v/(v/(v*v/v**(-2/7))))/v)) assuming v is positive. v**(-110/7) Simplify (b**9*b)/((b*b**(2/19)*b)/b)*(b**(4/7)/b)**(2/107) assuming b is positive. b**(126467/14231) Simplify (t*t/t**21*t*t**(-1/8))/(t**(-1)/(t*t/t**(-4))) assuming t is positive. t**(-89/8) Simplify q*q*q**(-11)*q**(3/5)*(q/(q*q*(q**(-3/2)/q*q)/q*q*q)*q)**(-21) assuming q is positive. q**(-189/10) Simplify ((((p/(p/p**(2/19)))/p*p*p)/p*p*p**(-1/4)*p)**4)**(3/34) assuming p is positive. p**(423/646) Simplify (((a**(2/29)/a)/(a/a**9))**27)**(-10/11) assuming a is positive. a**(-55350/319) Simplify ((b**(1/5)/b**6)/(b*b**(-5/3)/b*b*b*b/b**(4/7)))**(-34) assuming b is positive. b**(23426/105) Simplify ((d**1)**(2/17)*((d**(-3)/d)/d)**(-6))**(-4) assuming d is positive. d**(-2048/17) Simplify (s**10*s*s**(-3/4)*s**(1/6)/s*s**7)**(5/11) assuming s is positive. s**(985/132) Simplify (a**15/(a**(-1/30)*a*a*a))/(a**(1/4)/(a**(-16)*a)) assuming a is positive. a**(-193/60) Simplify (((a/(a**(-2/9)*a))**(1/5))**(-2/3))**(10/9) assuming a is positive. a**(-8/243) Simplify (h**1*h*h**(-11))/((h/(h**13*h))/(h/h**(-12))) assuming h is positive. h**17 Simplify (((f*f*f**(1/21))/f*f)/f)**(-11)/(((f/(f/(f/f**(1/9)*f)))/f)/f)**32 assuming f is positive. f**(-502/63) Simplify (z**(-1/5)/(z**(-5/6)*z))/(((z*(z**(1/2)/z)/z)/z)/z*z**0) assuming z is positive. z**(32/15) Simplify (o*o/o**(-8)*o**(2/5))/(o**(-6)*o*o/(o**(-8/5)/o*o)) assuming o is positive. o**(64/5) Simplify ((w**30*w)**(2/45))**(-35) assuming w is positive. w**(-434/9) Simplify ((((j/((j**(-7)/j)/j)*j)/j)/(j/(j/((j/((j*j**17/j)/j)*j)/j*j))*j*j))**(-25))**(-1) assuming j is positive. j**550 Simplify (x/x**(-2/7))**(7/9)*(x/(x**(-10/7)/x)*x)/x**(-1/2) assuming x is positive. x**(83/14) Simplify (v**3/(v*v**(-6)))/(v**14*v**(-31)) assuming v is positive. v**25 Simplify (p*p*p**(17/2)*p*p**(-2/5)*p)/(p*p**(-9)/p*p)**(5/14) assuming p is positive. p**(1047/70) Simplify (i/(i*i/i**(-1)))**(1/12)/(i/(i/(i/(i/i**0))))**(-25) assuming i is positive. i**(-1/6) Simplify ((p*(p**(1/2)*p)/p*p)/((p*(p**(3/8)*p)/p*p)/p))/(p**(-1))**42 assuming p is positive. p**(345/8) Simplify (i**(-6/13)/i)**(-2/5)/(((i/(i/i**17))/i)/(i**(1/18)*i)) assuming i is positive. i**(-16801/1170) Simplify c/(c*c**16)*c**9*c*(((c*c**(1/2)/c*c)/c)/c)/(c*c/(c*c*c/c**1*c)) assuming c is positive. c**(-11/2) Simplify i**(-3/7)/(i**(-9/4)/i*i)*i*(i/((i*i**(-3))/i))/i*i**(-6/13) assuming i is positive. i**(1951/364) Simplify (q*q**0)**(-35/4)*q*(q/((q/q**6*q)/q)*q)/q*q/((((q*q**8/q*q)/q)/q)/q) assuming q is positive. q**(-27/4) Simplify ((q**(-2/7))**(-1/81)*q**3*q**(-5/4))**(1/18) assuming q is positive. q**(3977/40824) Simplify ((d*d**9)/(d*d/d**0*d)*d**(-1/3)*d**(-2/13))**(-1/68) assuming d is positive. d**(-127/1326) Simplify (b/(b*b/b**12))/(b*b**(3/8)*b*b)*b*b*b**(12/5)*b*b*(b**(-38)/b)/b assuming b is positive. b**(-1039/40) Simplify (m**(-8/3)/((m**(-2/39)/m)/m))/(m*(m/m**(12/11))/m)**(-15/2) assuming m is positive. m**(-371/286) Simplify ((f/((f*(f/(f/((f*f/f**(-9))/f)))/f)/f))/(f*f**(-2/9)))/(f**6)**2 assuming f is positive. f**(-187/9) Simplify t**(1/6)/(t/(t/(t**15*t)))*((t**(4/5)/t*t)/t)**(-2/121) assuming t is positive. t**(-57463/3630) Simplify x**(-3/10)*x*x*x*x*x**(-7)*x*(x/(x/x**(-1/6)*x))/(((x*x*x**15*x)/x)/x) assuming x is positive. x**(-292/15) Simplify (h**(1/11)*h**(10/11))/(h**(-14)/((h/h**(-7))/h)) assuming h is positive. h**22 Simplify f**3/(f*(f/(f*f**(-10)*f))/f)*(f/(f/(f**(-1/4)/f)))**(-41) assuming f is positive. f**(181/4) Simplify (((((r/(((r/r**15)/r*r)/r))/r)/r)/r)/(r/((r/((r/((r*r*(r**(-17)*r)/r)/r*r))/r))/r)))**(-2/41) assuming r is positive. r**(6/41) Simplify l/(l*l*l**(2/25))*l**12*(l**(-4/15)*l*l)**(-2/25) assuming l is positive. l**(4043/375) Simplify (a**(-5/2)*a*a)**(-2/99)/((a*a**11/a)/(a/(a*a**(-3/8)*a))) assuming a is positive. a**(-9199/792) Simplify p**(2/17)*p**(-1/18)*p*p**(-5/8)*p*p**(2/9)/p assuming p is positive. p**(269/408) Simplify (n*n/(n/n**5)*n*n)/n**(-2/33)*n**4/((n/(n/(n*n*n*n**4)))/n*n) assuming n is positive. n**(167/33) Simplify (p**(-2/7))**(-15)*p/p**13*p*p/(p*p**8*p) assuming p is positive. p**(-110/7) Simplify (q*q**(-3/19))/q*q**(-7/6)*(q**(4/7))**(11/8) assuming q is positive. q**(-215/399) Simplify (v**(3/4)/(v*v**(-19)))**(-1/20) assuming v is positive. v**(-15/16) Simplify (((p*p**(-2/17))/p)/p)**25/(p**(-3)/p**5) assuming p is positive. p**(-339/17) Simplify ((o*o/(o**(8/5)/o)*o)/o*(o*(o/o**12)/o*o)/o)/(o**(-2))**(11/4) assuming o is positive
{ "pile_set_name": "DM Mathematics" }
3278 Find the third derivative of u*y**2*z**2 - 5*u*y**2*z - 2*u*z**6 + 9*u*z**3 + 3*y**2*z**4 - y**2*z - 2*z**2 wrt z. -240*u*z**3 + 54*u + 72*y**2*z Differentiate -2*k**3 - 85*k**2 + 209. -6*k**2 - 170*k What is the first derivative of -n**2*u**2 + 698*n**2 + 2*u wrt u? -2*n**2*u + 2 Differentiate -16633*f*o**4 + 5699*f wrt o. -66532*f*o**3 What is the second derivative of 192*v**4 - 55*v wrt v? 2304*v**2 What is the derivative of 3974*u - 7133? 3974 Find the third derivative of -6*i**6*m + 20*i**4*m**3 + 6*i**2*m**3 + 4*i**2*m**2 + 7*m**3 wrt i. -720*i**3*m + 480*i*m**3 What is the second derivative of a**5*y - 63*a**2*y**2 + 2*a*y + 15*y**2 wrt a? 20*a**3*y - 126*y**2 What is the first derivative of -19*o + 357? -19 What is the second derivative of 7*d**3*h**2 + 80*d**2*h**3 + 4*d*h + 12*d + 7*h**3 - 2 wrt d? 42*d*h**2 + 160*h**3 Find the third derivative of -25*i**3 - 90*i**2 wrt i. -150 What is the first derivative of 940*r**4 - 2222? 3760*r**3 Differentiate 35*c**3*n**2 + 2*c**3 - c*n**3 - 59*c + 2*n**2 with respect to n. 70*c**3*n - 3*c*n**2 + 4*n Find the first derivative of -26*p*v**4 - 49*p - 3 wrt v. -104*p*v**3 What is the second derivative of 2*a*v**3*x - 8*a*v**2*x - 241*a*v*x**3 + 2*a*x + 2*v**3*x**2 + 3*v**3 - v + 2*x**2 wrt x? -1446*a*v*x + 4*v**3 + 4 What is the derivative of -147*f - 97? -147 Differentiate 17*a**2*f**2*v**3 + 3*a**2*v - 2*a**2 - 10*a*f**2*v - 151*v**3 with respect to f. 34*a**2*f*v**3 - 20*a*f*v What is the third derivative of 6*h**3*m*y + h**3*y**3 - h**3*y**2 + 38*h**2*m + 8*m*y**3 + m*y - y**5 - 8*y**3 wrt y? 6*h**3 + 48*m - 60*y**2 - 48 Find the third derivative of -15475*n**4 - 1524*n**2. -371400*n Differentiate -11*v**3 + 6*v**2 + 1300 with respect to v. -33*v**2 + 12*v Differentiate 193*s**4*t - s*t + 7*s - 11255*t wrt s. 772*s**3*t - t + 7 Find the second derivative of 3*d**3*r - 3*d**3 + 7*d*r + 39*r + 2 wrt d. 18*d*r - 18*d What is the second derivative of -a**5 - 294*a**2 + 4*a - 99? -20*a**3 - 588 What is the derivative of 116*s**4 - s - 486? 464*s**3 - 1 Find the second derivative of -8936*j**4 + 13312*j wrt j. -107232*j**2 What is the second derivative of 310*d**2 + 96*d? 620 What is the third derivative of -6*a**2*t**4 + 3*a**2 + 29*a*t**3 + 4*t**2 + 9*t wrt t? -144*a**2*t + 174*a Differentiate 4*v**2*z - 99*v**2 - 138*z with respect to v. 8*v*z - 198*v What is the second derivative of 51*a*z**2 - 83*a*z - 2*a + 2*z**2 wrt z? 102*a + 4 Find the second derivative of 323*c**4 + 15*c**2 - 20676*c. 3876*c**2 + 30 Differentiate -1741*n**3 - 2444 with respect to n. -5223*n**2 What is the third derivative of -8419*l**6 - l**4 - 122*l**2 + l - 6 wrt l? -1010280*l**3 - 24*l What is the second derivative of 115*d**2*j*m**2 - 22*d**2*j - 2*d*j**2*m**2 - 2*d*j**2*m - d*j*m - 2*d*m**2 + 2*j**2*m wrt m? 230*d**2*j - 4*d*j**2 - 4*d Differentiate 5*v*x*z**2 - 72*v*x + 1241*x*z**2 wrt v. 5*x*z**2 - 72*x Find the second derivative of -2225*h**3 + 407*h - 9. -13350*h Differentiate 1867*d**3 - 2*d**2 + 23299 with respect to d. 5601*d**2 - 4*d What is the second derivative of -664*y**2 + 81*y + 3? -1328 What is the second derivative of 1904*d**2*x**2 + 24*d*x**2 + 4*d*x wrt d? 3808*x**2 Find the second derivative of 56*f*p**3 - 11*f*p + 2*f - 2*p**4 + p**2 - 8 wrt p. 336*f*p - 24*p**2 + 2 What is the third derivative of -76*r**5*t**3 + 7*r**4*t**3 + 2*r**2*t**3 - 4*r**2*t + 6*r*t**3 wrt r? -4560*r**2*t**3 + 168*r*t**3 What is the second derivative of 9712*d**3*f**2 + 65*d*f - 149*f**2 wrt d? 58272*d*f**2 Find the second derivative of 7*z**2 + 120*z + 1. 14 Differentiate d**3*g**2 + 56*d**3*g + 9*d**3 + 95*d**2 + 8*g**2 - 1 wrt g. 2*d**3*g + 56*d**3 + 16*g What is the derivative of -331*g + 733 wrt g? -331 What is the third derivative of 196*t**5 - 51*t**2? 11760*t**2 What is the third derivative of -332*r**6 + 403*r**2 wrt r? -39840*r**3 Differentiate -2*r**4 + r**3 - 1257*r**2 - 25059 with respect to r. -8*r**3 + 3*r**2 - 2514*r What is the second derivative of 784*d**4 + 252*d? 9408*d**2 Find the second derivative of -2*a**3*g - 3*a**2*g**3 - 1449*a**2*g + 21*a*g**3 + a*g**2 - 120*g**3 - 3 wrt a. -12*a*g - 6*g**3 - 2898*g Find the second derivative of -16*n**5 - 3*n - 15 wrt n. -320*n**3 Differentiate 6654*q**3 + 13783. 19962*q**2 What is the third derivative of -5*p**5 + 129*p**2 wrt p? -300*p**2 Find the second derivative of -11*w**3 - 2*w**2 - 750*w + 1. -66*w - 4 Find the first derivative of 3*j**2 - 381*j + 737 wrt j. 6*j - 381 What is the third derivative of -49*k**6 - 2*k**2 + 3? -5880*k**3 What is the third derivative of -550*d*o**3 - 2*d*o**2 + 619*d + 3*o**4 wrt o? -3300*d + 72*o What is the second derivative of 7*o**3 - 3*o**2 + 2*o - 20? 42*o - 6 What is the second derivative of -3*i**4*j - 4*i**4 - 10*i**3*j + 18*i*j + 2*j - 3 wrt i? -36*i**2*j - 48*i**2 - 60*i*j What is the third derivative of 15860*c*l**3*z - 2*c*l**2*z - 3*c*l*z - 35*c*z wrt l? 95160*c*z Find the third derivative of 253*w**6 - 101*w**2 - 2. 30360*w**3 What is the third derivative of -3*n*t**3 - 13*n*t**2 - 15*t**3 + 5*t**2 wrt t? -18*n - 90 Find the third derivative of -2744*q**2*u**3 - 3*q**2*u**2 - 2*q*u**2 + 5*u wrt u. -16464*q**2 Find the first derivative of 1704*d*w*x + d*w - 10*d - 3*w - x wrt x. 1704*d*w - 1 What is the third derivative of -13*c**3*d**3*p*y**3 + 56*c**3*d**3*p*y - 2*c**3*y + 3*c**2*d**2*p*y - c**2*d*p*y**3 - c*d**2*p*y**3 + c*y**3 - 74 wrt d? -78*c**3*p*y**3 + 336*c**3*p*y Find the second derivative of 19*b*t**4*v**2 - 13*b*t**4 + 3*b*t*v - 10*b*v**2 + 4*v**2 wrt t. 228*b*t**2*v**2 - 156*b*t**2 What is the third derivative of -5*o**4 - 28*o**3 - 182*o**2 wrt o? -120*o - 168 Find the second derivative of -6837*a**3*g**4 + a**3*g**3 - 3*a**3*g + 84*a**3 - a**2*g wrt g. -82044*a**3*g**2 + 6*a**3*g Differentiate -3*m*t**2 + 11*m - t**2 - 4*t + 5 with respect to t. -6*m*t - 2*t - 4 What is the second derivative of -72*k**2 + 136*k wrt k? -144 Find the third derivative of 29997*t**6 + 908*t**2 + 4*t wrt t. 3599640*t**3 What is the second derivative of 257*l**5 - 68*l wrt l? 5140*l**3 Find the second derivative of -2*g*h**4 + 104*g*h**3 - 4*g*h - 2*g + h**4 - 2*h + 149 wrt h. -24*g*h**2 + 624*g*h + 12*h**2 Find the second derivative of -117*r**4 - 27*r + 2 wrt r. -1404*r**2 What is the third derivative of -6835*w**4 - w**2 - 91 wrt w? -164040*w What is the derivative of 7*i**2 - 14*i - 2852? 14*i - 14 Find the second derivative of 2*k**2*l**3*v**2 + 7*k**2*l**3 - 50*k**2*v**3 + 17*k**2*v + k**2 wrt v. 4*k**2*l**3 - 300*k**2*v Differentiate p**4*q - 115*p**3*q + 11*q - 1 wrt p. 4*p**3*q - 345*p**2*q What is the first derivative of -4294*k**2 - 910? -8588*k What is the second derivative of 5*c*j**5 + c*j**3 - 55*c + j wrt j? 100*c*j**3 + 6*c*j Differentiate 30*f*h*x + 10*f*x + 4*f + 25*h*x + 1 wrt h. 30*f*x + 25*x Find the second derivative of -4102*p**4 + p**3 - 2341*p wrt p. -49224*p**2 + 6*p What is the second derivative of -497*d**2 - 27*d - 1 wrt d? -994 Find the first derivative of -4*b**3*v - b**3 + 11*b**2*c**2 + 2*b*c + b*v**2 - c**2*v - 3*c*v**2 wrt v. -4*b**3 + 2*b*v - c**2 - 6*c*v What is the first derivative of -2*c**3*v**3 + 260*c**3 - 3*c*v**3 wrt v? -6*c**3*v**2 - 9*c*v**2 What is the first derivative of -6614*j*z**4 + 214*j + 2 wrt z? -26456*j*z**3 What is the derivative of 6306*w**4 - 8122? 25224*w**3 Find the second derivative of -4*b*g**4 + 2*b*g + 84*b - 23*g**4 + 3*g**3 - 20*g wrt g. -48*b*g**2 - 276*g**2 + 18*g Differentiate -11*u**3 - 3*u - 227 wrt u. -33*u**2 - 3 What is the second derivative of p**2*t**4 - 3126*p**2*t**2 - 2*p**2*t - 15*p**2 - 2*p*t + 2*p wrt t? 12*p**2*t**2 - 6252*p**2 What is the third derivative of 14*f**6*k**2 - 4*f**3*k**3 - 2*f**2 - f*k**3 + 24*k**3 wrt f? 1680*f**3*k**2 - 24*k**3 Find the third derivative of -3563*z**3 + 3*z**2 + 33 wrt z. -21378 What is the derivative of -1305*a**4 - 311 wrt a? -5220*a**3 Differentiate 2*h**2*n*r**3 + h**2*n*r + 209*h**2*n + h**2 - 28*h*r with respect to r. 6*h**2*n*r**2 + h**2*n - 28*h What is the third derivative of 230*k**5 - k**2 + 9 wrt k? 13800*k**2 What is the derivative of -13*g**3*u - g**2*u + 65*g*u - 7014*u wrt g? -39*g**2*u - 2*g*u + 65*u Differentiate 3670*j + 1277 wrt j. 3670 Find the second derivative of -270*
{ "pile_set_name": "DM Mathematics" }
In base 2, what is 10 - 100110100000010? -100110100000000 In base 12, what is -1b4519 - 6? -1b4523 In base 9, what is 0 + -4404601? -4404601 In base 4, what is 1 - 32003223130? -32003223123 In base 12, what is -8961710 + 5? -8961707 In base 10, what is 8832 - -2158? 10990 In base 12, what is -92 - -40b45? 40a73 In base 12, what is 57 + 1b46147? 1b461a2 In base 12, what is 8 - -5637913a? 56379146 In base 11, what is 1 - -17a6210? 17a6211 In base 14, what is c + -271c61? -271c53 In base 5, what is -10 + 4413123233? 4413123223 In base 8, what is -731505 - -10? -731475 In base 5, what is -13 - 42334221134? -42334221202 In base 11, what is -2577 + -1338? -3904 In base 14, what is 9d - -73b1cb? 73b28a In base 13, what is 27 - -4c0258? 4c0282 In base 13, what is -38 - 3912? -394a In base 2, what is 1100110111101 + -100101101010110? -11000110011001 In base 13, what is -1481bc1 + -7? -1481bc8 In base 10, what is 1458250407 - -2? 1458250409 In base 5, what is -43401 - -243340? 144434 In base 11, what is 2 + -4378584? -4378582 In base 16, what is e6 - 15a56? -15970 In base 5, what is 0 - 103224203011? -103224203011 In base 6, what is 150 - -4104151? 4104341 In base 16, what is 2 + 1826dc? 1826de In base 8, what is 106326 - -3611? 112137 In base 6, what is -5423 - 43431? -53254 In base 2, what is 11001000 + 10100010011110100110101? 10100010011110111111101 In base 16, what is -2ae3 - 637? -311a In base 13, what is 1245b49 - -1? 1245b4a In base 4, what is -2232111210211 + 2? -2232111210203 In base 9, what is -3 + -1334768? -1334772 In base 5, what is -30213 + -41032210? -41112423 In base 10, what is 440 - -582131? 582571 In base 5, what is -1314122 - 12423? -1332100 In base 11, what is a1240 - -12? a1252 In base 3, what is 21112111200011 - -2201? 21112111202212 In base 4, what is 10300222312 + -1020? 10300221232 In base 3, what is 200012112000001112 - -11? 200012112000001200 In base 15, what is -5165 + 2cb1? -23a4 In base 9, what is 41007 - -1473? 42481 In base 2, what is 10101101011111000011001000011 - 11? 10101101011111000011001000000 In base 14, what is -23 - 938549? -93856c In base 6, what is 4 - 42135252011? -42135252003 In base 13, what is -1415a + 1ba5? -12285 In base 6, what is -511133 + 535? -510154 In base 8, what is 40 - 24037? -23777 In base 9, what is -42 + -71505581? -71505633 In base 3, what is 2 - 2121021221012? -2121021221010 In base 10, what is -575383 - -1? -575382 In base 5, what is 103233213 + 10? 103233223 In base 3, what is -11201210020 - 2110202? -11211020222 In base 9, what is 1763 + -171363? -168500 In base 10, what is -8180 - 4945? -13125 In base 12, what is -429 + -136bb5? -137422 In base 3, what is 21200211 - -110022? 22011010 In base 4, what is -32323 + -213130? -312113 In base 15, what is -9 - -c6b1? c6a7 In base 8, what is 1 - -44233171? 44233172 In base 7, what is 64355 + 1066? 65454 In base 3, what is 10201122010012 + 10? 10201122010022 In base 4, what is -2323 - 11112111013? -11112120002 In base 3, what is -12 - 2011010102221? -2011010110010 In base 2, what is 11010100000010010 + 100110011011? 11011000110101101 In base 6, what is 3 + 13052530211? 13052530214 In base 12, what is -8133367 + 0? -8133367 In base 14, what is -6 - 1cc7124? -1cc712a In base 5, what is 4 + 33444433442? 33444434001 In base 2, what is 111 + -1110110010000100110100011? -1110110010000100110011100 In base 8, what is 13421 + 45422? 61043 In base 9, what is -24 + 1481570? 1481545 In base 3, what is -121222020 + -222? -122000012 In base 13, what is -a1 + 10aa107? 10aa036 In base 6, what is 3 + 252213414? 252213421 In base 16, what is 1064 - -37aa? 480e In base 8, what is -3345 - 201437? -205004 In base 6, what is 3011541 - 1441? 3010100 In base 11, what is -9971 - 200a? -10980 In base 10, what is -4080848 - -2? -4080846 In base 10, what is 7 - 541369? -541362 In base 3, what is 122102111212021 + -1? 122102111212020 In base 3, what is -110110 - 2121221002? -2122101112 In base 2, what is 101010111101100101001 - 10100111? 101010111101010000010 In base 8, what is 2606345 + -56? 2606267 In base 4, what is 21 - -2230203321? 2230210002 In base 10, what is 8966 + -36264? -27298 In base 2, what is 1011101100 + 101110111010000? 110000010111100 In base 4, what is -11132010322223 + 12? -11132010322211 In base 14, what is -38b4265 + 2? -38b4263 In base 8, what is 7 - -25167055? 25167064 In base 11, what is -1071aa64 + -4? -1071aa68 In base 5, what is -11 - -1224003001? 1224002440 In base 6, what is -125412053 - 2? -125412055 In base 7, what is -4410624 - 235? -4411162 In base 15, what is 31c + -4399? -407c In base 9, what is 41121 + -124? 40886 In base 13, what is -7b5c540 - 2? -7b5c542 In base 3, what is -11002 - -10112100211? 10112012202 In base 11, what is 3069720 + 5? 3069725 In base 16, what is -35 + -d638? -d66d In base 16, what is 33a9e - -20? 33abe In base 3, what is -2101001212010 + -211? -2101001212221 In base 4, what is -3 + -1123011123311? -1123011123320 In base 13, what is 28 + 2353a30? 2353a58 In base 13, what is 10 - b1b91? -b1b81 In base 2, what is 110011 + 100010001111001110110001? 100010001111001111100100 In base 4, what is -3 + -23331010301? -23331010310 In base 7, what is -3 - -4406340043? 4406340040 In base 16, what is 14bb3d8 + -4? 14bb3d4 In base 2, what is -10100000100010101 + 10011001101? -10011110001001000 In base 12, what is 41 - 94707? -94686 In base 8, what is -3 + -225026? -225031 In base 14, what is -6ca4b - 82? -6cacd In base 15, what is -a + -288b3a9? -288b3b4 In base 16, what is 14da52 - 1b? 14da37 In base 4, what is -3123231122321 + 2? -3123231122313 In base 9, what is 1 - 4734363? -4734362 In base 11, what is -136a9a7a - 17? -136a9a96 In base 9, what is 564 + -204431? -203756 In base 9, what is -21378 - -12518? -7760 In base 12, what is 51 - -883795? 883826 In base 14, what is -19 + -135dc61? -135dc7a In base 7, what is -354 - 315362? -316046 In base 14, what is 1 + -22c6496? -22c6495 In base 14, what is 0 + -ac2a25? -ac2a25 In base 15, what is -2 + 1807b61? 1807b5e In base 13, what is 0 - -154177? 154177 In base 11, what is 27463a3 + -19? 2746385 In base 3, what is 1101022 - -21120102? 22221201 In base 9, what is 1 + 154270348? 154270350 In base 10, what is 5 + 4474782? 4474787 In base 16, what is -3ed16 - -1b? -3ecfb In base 6, what is -3525441 + -114? -3525555 In base 5, what is -10 - 1221422023? -1221422033 In base 5, what is 301 - -1220300122? 1220300423 In base 14, what is 66c + 13443? 13ab1 In base 8, what is -2 - -73560356? 73560354 In base 3, what is 120002021 + 2222? 120012020 In base 9, what is -4 - 6532034? -6532038 In base 6, what is 50025 + -115? 45510 In base 15, what is 10ee1d - 31? 10eddc In base 4, what is -10 - -310322123123? 310322123113 In base 5, what is 0 + -1042104111034? -1042104111034 In base 8, what is -71057417 - -4? -71057413 In base 13, what is -1 + -1203647? -1203648 In base 10, what is -56148289 + 13? -56148276 In base 10, what is 48309 + -3155? 45154 In base 8, what is -466 + -11115422? -11116110 In base 10, what is 194702 - -112? 194814 In base 10, what is 2166487 + 14? 2166501 In base 4, what is 120101303213 - 10? 120101303203 In base 7, what is 1260 + -62113? -60523 In base 10, what is 3 - 224210451? -224210448 In base 12, what is 977535 - -2a? 977563 In base 11, what is -548860 + -30? -548890 In base 8, what is -102777 + 1345? -101432 In base 9, what is 61 + 1015204? 1015265 In base 6, what is -24352 + -433300? -502052 In base 12, what is bbab55 + -a? bbab47 In base 3, what is -110220102101111 + -2? -110220102101120 In base 13, what is 21c96 - -abc? 22a85 In base 11, what is -3 - -4472044? 4472041 In base 14, what is 2a + -98ba5? -98b79 In base 11, what is -342 + -5376? -5708 In base 13, what is a8b0 - -1a042? 27922 In base 7, what is -1305526121 - -4? -1305526114 In base 7, what is 3 - 635360025? -635360022 In base 5, what is -3 - -12404411? 12404403 In base 10, what is 3 + 146147156? 146147159 In base 15, what is -2 + -1dabb8d? -1dabb90 In base 15, what is -b92 - 328? -eba In base 9, what is 853 - -185847? 186811 In base 13, what is -433 - 2408a? -244c0 In base 7, what is 1 - -123000500? 123000501 In base 12, what is -149917 - -23? -1498b4 In base 4, what is 2231030133 - 101122? 223032301
{ "pile_set_name": "DM Mathematics" }
- 6*x**2 - 7*x - 21. Let w = 65 - 71. Let v be d(w). Let c(u) = u - v - 11 + 32. Let q(k) = k + 105. Determine q(c(i)). i + 105 Let x(z) = 4763*z. Let c(d) = 9417*d. Give x(c(y)). 44853171*y Let g(c) be the first derivative of -15*c**2/2 + c + 7503. Let l(n) = 10*n**2. Calculate g(l(m)). -150*m**2 + 1 Let l = 172 - 145. Let u(r) = -3*r - l + 27. Let h(x) = -34*x**2. Determine h(u(q)). -306*q**2 Let a(s) = -2*s. Let i(v) = -6329*v**2 - 4922*v**2 + 13349*v**2 - 4905*v**2 - 1. What is i(a(q))? -11228*q**2 - 1 Let q(c) = -7*c - 1. Let r(x) = 15*x - x - 910 - 907 + 1817. What is r(q(y))? -98*y - 14 Let g(b) = 3707*b - 72. Let a(x) = -225*x. Determine a(g(r)). -834075*r + 16200 Let c(b) be the first derivative of 2*b**3/3 - 3277. Let a(o) = -o**2 - 2*o + 485. What is a(c(x))? -4*x**4 - 4*x**2 + 485 Let x(y) = -18*y + 2. Let b(r) = 2115*r**2 - 2*r - 1. Determine x(b(f)). -38070*f**2 + 36*f + 20 Let s(p) = 61*p**2. Let n(r) be the second derivative of r**3 - 76*r - 43. Determine n(s(o)). 366*o**2 Let i(r) = 684*r - 398*r + 2 - 339*r. Let c(m) = 47*m**2 + 1. Give c(i(b)). 132023*b**2 - 9964*b + 189 Let i(c) = 63693*c**2 + 15. Let a(j) = 18*j. Calculate a(i(g)). 1146474*g**2 + 270 Let f(c) = 1037*c - 2. Let r(k) be the third derivative of k**5/30 - 7*k**2 - 62*k. Calculate f(r(n)). 2074*n**2 - 2 Let p be (272/32)/(1/2). Let m(z) = -z**2 + 16*z + 20. Let x be m(p). Let j(c) = -3*c + 18*c + x*c**2 - 15*c. Let i(s) = 36*s. What is j(i(l))? 3888*l**2 Let u(q) = -554*q**2 - 762*q**2 + 1305*q**2. Let v(s) = -234*s. Give v(u(h)). 2574*h**2 Let u(i) = i. Let r(k) = 4*k + 50. Let p be r(-12). Let j(g) = 37*g**2 - 520*g**p + 179*g**2. What is j(u(a))? -304*a**2 Let b(s) = 5671*s. Let g(v) be the first derivative of v**2 + 6221. Determine b(g(r)). 11342*r Let x(i) = 2136258*i. Let j(l) = -6*l. Determine x(j(b)). -12817548*b Let g(w) be the third derivative of w**4/6 - 470*w**2. Let r(b) = 30*b. Determine r(g(s)). 120*s Let z(t) = 5*t**2. Let i(d) = -77*d**2 + 44*d - 22. Let a(s) = -86 + 170 - 11*s**2 - 87 + 6*s. Let v(u) = -22*a(u) + 3*i(u). Calculate z(v(n)). 605*n**4 Let p(v) = 2*v**2 - 37*v + 55. Let h be p(17). Let f(x) = h*x**2 - 94436 + 94436. Let q(l) = 66*l. What is q(f(s))? 264*s**2 Let o(k) = -72*k**2 - 226077. Let s(z) = -z**2. Determine o(s(i)). -72*i**4 - 226077 Let h(w) = -14357*w. Let x(n) = -3371*n**2. Give h(x(y)). 48397447*y**2 Suppose 0 = 7*r + 15 - 1. Let j(s) = 3*s**2 - 2*s + 8. Let k(b) = -2*b**2 + 3*b - 9. Let z(d) = r*k(d) - 3*j(d). Let f(n) = 2*n**2. Determine f(z(i)). 50*i**4 + 120*i**2 + 72 Let x(f) be the third derivative of 17*f**4/24 - 8193*f**2. Let g(v) = v**2 - 9*v. What is g(x(r))? 289*r**2 - 153*r Let w(x) = -4*x. Suppose 0 = -4*i - 6*d + 3*d - 386, 0 = d + 2. Let l = -27 - i. Let o(b) = -4*b - l + 68. Calculate w(o(u)). 16*u Let p(o) = -o + 29. Let m(z) = -11*z + 29. Let w(d) = -3*m(d) + 3*p(d). Let s(y) = 204*y - 2. Give w(s(x)). 6120*x - 60 Let u(w) = -2*w. Let f(t) be the third derivative of 47*t**7/5040 - t**5/60 - 7*t**4/8 + 109*t**2. Let c(p) be the third derivative of f(p). Determine u(c(j)). -94*j Let u(s) = 0 + 371*s**2 + 0. Let j(r) = -r**2 + 72*r + 2. Let z(q) = 3*q**2 - 180*q - 5. Let a(i) = -5*j(i) - 2*z(i). Give a(u(l)). -137641*l**4 Let a be (-4)/3*(-1143)/508. Let n(v) be the third derivative of 0 - 1/12*v**4 + 0*v + 14*v**2 + 0*v**a. Let h(o) = -7*o. Determine h(n(u)). 14*u Let n(j) = -7*j**2. Let y(v) be the third derivative of -44*v**2 + 0 + 0*v + 0*v**4 - 11/60*v**5 + 0*v**3. Determine n(y(m)). -847*m**4 Let v(n) = -2561*n. Let t(b) be the first derivative of 2*b**3/3 + 579. Calculate t(v(w)). 13117442*w**2 Let s(n) = 4*n. Let b = -189 + 39. Let h = b + 294. Let l(z) = -h - 3*z**2 + 72 + 72. Give l(s(k)). -48*k**2 Let m(p) = -1403*p - 1401*p + 4214*p - 1412*p. Let n(w) = w**2 - 101*w - 1. Determine m(n(c)). -2*c**2 + 202*c + 2 Let p(x) = -2*x - x - 2*x. Let n(z) be the first derivative of 4/3*z**3 + 0*z + 0*z**2 - 2. Calculate n(p(c)). 100*c**2 Let d(w) = 2*w - 90. Let n(x) = 7*x + 16. Let k(q) = -6 + 2 - 5*q + 2 - 10. Let t(z) = 4*k(z) + 3*n(z). Give d(t(m)). 2*m - 90 Let y(d) be the first derivative of 2*d**3/3 + 77*d + 27. Let f(z) = 122*z + 12. Let l(m) = -71*m - 7. Let o(p) = 7*f(p) + 12*l(p). What is o(y(n))? 4*n**2 + 154 Let r(v) be the second derivative of v**3/3 - 27*v. Suppose -4 = -4*n, 2*n + 8 = 2*o + 6*n. Let h(k) = -10*k**o + 3*k**2 - 5*k**2. What is r(h(m))? -24*m**2 Let q(b) = 334*b**2 + 7*b + 13. Let v(h) = -165*h**2 - 4*h - 7. Let f(c) = -6*q(c) - 11*v(c). Let s(r) = -r**2. Determine f(s(k)). -189*k**4 - 2*k**2 - 1 Let h(i) be the second derivative of -19*i**3/6 + i**2 + 12*i - 6. Let b(r) = r**2 - r**2 + r**2. Give h(b(g)). -19*g**2 + 2 Let s(o) = o**2 - 139*o. Suppose 0 = 123*c - 127*c + 12. Let l(f) = -16*f + 4*f + c*f + 4*f + 7*f. Determine s(l(r)). 4*r**2 - 278*r Let t(y) be the third derivative of -y**4/24 - 6158*y**2. Let l(s) = -926*s**2 - 12. Give l(t(n)). -926*n**2 - 12 Let w(z) = 6*z**2. Let g(p) = 8*p**2. Let k(h) = -5*g(h) + 7*w(h). Let d(n) be the first derivative of n**2/2 + 37*n - 100. Calculate d(k(o)). 2*o**2 + 37 Let p(s) = -22. Let g(k) = k - 44. Let c(l) = -g(l) + 2*p(l). Let x(t) = -2 + 69*t - 9*t**2 + 8*t**2 + 2. Give c(x(i)). i**2 - 69*i Let f(c) = 28*c + 4. Let j(l) = -2*l - 9720. What is f(j(v))? -56*v - 272156 Let b(a) = -4511*a**2 - 4499*a**2 - 4506*a**2 + 13517*a**2. Let f(n) = -n**2 + 2*n - 16. Determine f(b(d)). -d**4 + 2*d**2 - 16 Let o(h) be the third derivative of h**5/6 - 281*h**2. Let b(i) = 13*i - 6. Let y(r) = r - 1. Let a(u) = b(u) - 6*y(u). What is o(a(d))? 490*d**2 Let m(z) be the second derivative of 422*z**3 + 1387*z. Let o(p) = 2*p**2. Calculate m(o(q)). 5064*q**2 Let b(w) = 894*w - 2. Let u(h) = -778*h**2 - 13*h. Calculate b(u(o)). -695532*o**2 - 11622*o - 2 Let z(i) = 169*i. Let b(x) = 48553*x**2 + x. Determine b(z(g)). 1386722233*g**2 + 169*g Suppose 18 = d - 16. Let t(i) = d*i**2 + 29*i**2 + 15*i**2. Let r(x) = -x**2. What is t(r(y))? 78*y**4 Let i(t) = -459*t. Let r(p) = -251*p**2 + 4*p - 1. What is i(r(m))? 115209*m**2 - 1836*m + 459 Suppose 38*x = -4*x + 84. Let d(r) = 99*r - 20*r**2 - 3*r**x - 99*r. Let y(h) = -3*h**2. Give y(d(t)). -1587*t**4 Let j(q) = -8*q. Let x(f) = f**2 + 34957372. Calculate x(j(s)). 64*s**2 + 34957372 Let y(b) = 87*b + 5625. Let z(f) = 49*f**2. Determine y(z(w)). 4263*w**2 + 5625 Let f(q) = -4619 - 2*q + 1544 + 1534 + 1541. Let m(s) be the first derivative of -1 - 5*s**2 + 0 + 0*s**2. Give f(m(g)). 20*g Let c(w) = 27*w**2. Suppose 5 = -o + 8. Let t(m) = 2701 + o*m - 3*m - 2701 + 14*m**2. Calculate c(t(d)). 5292*d**4 Let f(y) be the first derivative of 13*y**2/2 + 1212. Let c(l) = 257*l. Calculate f(c(m)). 3341*m Let k(r) = -10*r**2 - 309538*r. Let t(x) = 2*x. Determine t(k(q)). -20*q**2 - 619076*q Let d(g) = -7*g**2 - 1230 + 151*g**2 + 1230. Let q(z) = -42*z + 2. What is q(d(l))? -6048*l**2 + 2 Let w(l) be the second derivative of l**4/12 + 32*l + 3. Let y be (-48)/(-21) + (-8)/28. Let c(q) = 3*q**2 - 5*q**y + q**2 + 3*q**2. Calculate w(c(u)). 4*u**4 Let u(o) = 92*o. Let w(l) be the second derivative of -l**5/30 + 44*l**2 - 52*l + 2. Let z(f) be the first derivative of w(f). Give z(u(s)). -16928*s**2 Let c(k) be the second derivative of 2*k - 23 + 0*k**2 - 23/6*k**3. Let r(t) = t. Calculate c(r(x)). -23*x Let b(x) = 213*x. Let s(i) = -54*i + 45. Let k(q) = 27*q - 20. Let v(j) = 9*k(j) + 4*s(j). Calculate v(b(d)). 5751*d Let n(m) = 626329*m. Let i(t) = -t + 22. Give i(n(k)). -626329*k + 22 Let y(f) = -36*f**2. Let k(r) be the first derivative of 1 + 1/3*r**3 + 0*r**2 + 0*r. Calculate y(k(l)). -36*l**4 Let z(i) = 22*i**2. Let g(v) = 38*v**2 + 2*v - 9329. Determine g(z(j)). 18392*j**4 + 44*j**2 - 9329 Let f(p) = -p. Let h(w) be the third derivative of -593*w**5/60 + w**3/3 - 2913*w**2 - 2*w. Determine h(f(j)). -593*j**2 + 2 Let d(w) be the third derivative of w**5/10 + w**2. Let s = -101 + 100. Let p(n) = -1. Let z(o) = -2*o + 8. Let r(m) = s*z(m) - 8*p(m). Calculate d(r(a)). 24*a**2 Let q(i) = -2 + 3 - 108876*i + 108880*i. Let x(n) = 34*n**2. Give x(q(f)). 544*f**2 + 272*f + 34 Let m(g) = -2*g + 74. Let z(r) = 8447 - 8447 + 3*r. Give z(m(l)). -6*l + 222 Let w(i) = -9*i**2. Let m(r) be the third derivative of -17*r
{ "pile_set_name": "DM Mathematics" }
s in 96 - 96 - 7*h**2. -7*h**2 Collect the terms in -13 + u + 9 + 100. u + 96 Collect the terms in w - 35*w**3 + 34*w**3 - w. -w**3 Collect the terms in -5*z**3 - 2135*z**2 + 2132*z**2 - 6*z**3. -11*z**3 - 3*z**2 Collect the terms in 260*q**2 - 132*q**2 - 125*q**2. 3*q**2 Collect the terms in 4567*g - 4567*g + 5*g**2. 5*g**2 Collect the terms in z**3 - 3292 + 3292. z**3 Collect the terms in 9*d**2 - d**2 + 15*d**2. 23*d**2 Collect the terms in -55*w - 56*w + 110*w. -w Collect the terms in -4*s**2 + 7*s**2 + 10*s**2. 13*s**2 Collect the terms in -50*u + 933*u + 895*u. 1778*u Collect the terms in 215*c**2 - 103*c**2 + c - c - 109*c**2. 3*c**2 Collect the terms in -66 + 40*k**3 + 66. 40*k**3 Collect the terms in 0*r - 18*r**2 - 111*r**2 + 0*r. -129*r**2 Collect the terms in -2691*o - 2692*o + 5385*o. 2*o Collect the terms in -1 - 4*u + 22*u + 1 - 10*u. 8*u Collect the terms in 12 - 5 - 4*g**2 - 5. -4*g**2 + 2 Collect the terms in 45 - 11*b**2 + 0*b**2 - 45. -11*b**2 Collect the terms in 8*l**3 - 6 + 13*l**3 + 9*l**3 - 29*l**3. l**3 - 6 Collect the terms in 30*h + 341*h**2 - 30*h - 2. 341*h**2 - 2 Collect the terms in 0 + 108*x + 0 - 86*x. 22*x Collect the terms in -92*k - 102*k + 197*k. 3*k Collect the terms in -1 - 8*u - 1 + 1. -8*u - 1 Collect the terms in 9*r - 6*r + 4*r + r. 8*r Collect the terms in -w + 20 + w - 2*w - 5. -2*w + 15 Collect the terms in -3*g - 9*g**2 + 8*g - 5*g. -9*g**2 Collect the terms in -21019 - 2*x + 21019. -2*x Collect the terms in -3*k**3 + 13627 - 27253 + 13626. -3*k**3 Collect the terms in 43*t + 2 - 2 - 11*t. 32*t Collect the terms in -3 - 666*v**2 + 3 - 8*v**3 + 666*v**2. -8*v**3 Collect the terms in 4*n**3 - 12*n**3 - n**3 + 4*n**3 + 2*n**3. -3*n**3 Collect the terms in -1304*p + 653*p + 643*p. -8*p Collect the terms in 7 - 16 - 2*f + 5 + 4. -2*f Collect the terms in 3*b + 0*b + 14*b - 21*b. -4*b Collect the terms in -c - 3*c + 2*c + 6*c - 3*c. c Collect the terms in -68615*m - 4*m**2 + 68615*m. -4*m**2 Collect the terms in 3*o - o + 9*o. 11*o Collect the terms in -478 + 478 + 3*n. 3*n Collect the terms in 5*a + 35*a - 16*a. 24*a Collect the terms in -5*l**3 - 2*l**3 - 6*l**3. -13*l**3 Collect the terms in 9*i**3 + 11129*i**2 - 11129*i**2. 9*i**3 Collect the terms in -693 + 20*y**3 + 693. 20*y**3 Collect the terms in -13*p**3 - 6*p**2 - 3*p + 6*p**2. -13*p**3 - 3*p Collect the terms in g + g + 73 + 0*g - 3*g. -g + 73 Collect the terms in 3*f - 3*f + 9*f**3 - 9*f**3 - 23*f**3. -23*f**3 Collect the terms in -10*x + x**2 + 10*x - 35*x**2. -34*x**2 Collect the terms in 3799726*r**3 + 4 - 4 - 3799727*r**3. -r**3 Collect the terms in 414*q - 206*q - 208*q + 2*q**3 + 2*q**3. 4*q**3 Collect the terms in 68*i + 65*i - 132*i. i Collect the terms in 4 + 330*p - 4. 330*p Collect the terms in -41 + 41 - 2*f. -2*f Collect the terms in 11*k**2 - 275*k + 275*k. 11*k**2 Collect the terms in 15*o**2 - 6*o**2 - 5*o**2. 4*o**2 Collect the terms in -14*x**2 - 3 - 21*x**2 + 5. -35*x**2 + 2 Collect the terms in f + 7*f - 4*f. 4*f Collect the terms in 1 + 24*b + 3 - 4. 24*b Collect the terms in 5*m**3 + 4*m**3 - 4*m**3 - 2*m**3. 3*m**3 Collect the terms in -5*q**2 + 9*q**2 - 7 + 7 + 0*q**2. 4*q**2 Collect the terms in x**2 - 2*x**2 + 2*x**3 + 4*x**3. 6*x**3 - x**2 Collect the terms in 17*n**2 + 3*n**2 - 6*n**2. 14*n**2 Collect the terms in 10 + 34*j - 10 + 4*j. 38*j Collect the terms in 44*b**2 + 2216*b - 2216*b. 44*b**2 Collect the terms in -12*z - 11*z + 42*z - 18*z. z Collect the terms in -28*c + 62*c - 32*c. 2*c Collect the terms in 3*i - 2*i + 259*i**2 - 258*i**2 - i. i**2 Collect the terms in -3*j**3 - 3083 + 3083. -3*j**3 Collect the terms in 20*w + 29*w + 13*w. 62*w Collect the terms in 7*v**2 - v**2 + 28*v**2. 34*v**2 Collect the terms in 3*s**3 + 194*s**2 + 0*s**3 - 194*s**2. 3*s**3 Collect the terms in 21*m**2 - 4*m**2 - 12*m**2. 5*m**2 Collect the terms in 225*c**3 + 15*c**3 - 23*c**3. 217*c**3 Collect the terms in -28*n + 11*n + 21 + 9*n + 6*n. -2*n + 21 Collect the terms in 10*j**2 - 15*j**2 + 7*j**2 + 22. 2*j**2 + 22 Collect the terms in -186*g + 61*g + 60*g + 59*g. -6*g Collect the terms in m - 3*m + 12*m. 10*m Collect the terms in -6*y**2 + 9*y**2 + y**2. 4*y**2 Collect the terms in -4*s**3 + 436*s**2 - 436*s**2. -4*s**3 Collect the terms in -3*c + 2*c + 6*c - 4*c. c Collect the terms in -2*k + 28 + 17 - 13. -2*k + 32 Collect the terms in -10 + 1551*g + 10 - 1553*g. -2*g Collect the terms in 0 - 23*m - 5 + 2. -23*m - 3 Collect the terms in -12256 + 12256 - 3*r. -3*r Collect the terms in -21*w + 5*w**2 - 4*w**2 - 3*w**2. -2*w**2 - 21*w Collect the terms in -7686 + 7686 + 8*n**2. 8*n**2 Collect the terms in -11*g + 26*g - 13*g - 33 + 33. 2*g Collect the terms in 0*u + 3*u + u - 6*u. -2*u Collect the terms in 7*h**2 + 194*h - 194*h. 7*h**2 Collect the terms in 8*q - 2*q - 2*q + 0*q. 4*q Collect the terms in 5*m**2 - 10*m**2 + 2*m**2. -3*m**2 Collect the terms in 105*p**3 + 6*p - 6*p. 105*p**3 Collect the terms in 20*n**2 - 8*n**2 + 18*n**3 - 5*n**2 - 7*n**2. 18*n**3 Collect the terms in 4*j - 28*j**3 - 3*j - 3*j. -28*j**3 - 2*j Collect the terms in -n**2 + 730 - 363 - 367. -n**2 Collect the terms in -2*t - 2*t**2 + 4*t - 2*t. -2*t**2 Collect the terms in 6*p**2 + 6*p**2 - 3*p**2 - 3*p**2. 6*p**2 Collect the terms in 127*h - 76*h + 11*h. 62*h Collect the terms in -3*p + 9*p + 9*p. 15*p Collect the terms in -16530*o - 13*o**3 + 16530*o. -13*o**3 Collect the terms in -6 + 0*i**2 - 11 - 2*i**2. -2*i**2 - 17 Collect the terms in 64 + 57 + 2*q**2 - 121 + 0*q**2. 2*q**2 Collect the terms in 0*i**3 - 8*i + 8*i - i**3. -i**3 Collect the terms in -571*x + 569*x - 4 - 3. -2*x - 7 Collect the terms in 200*f - 75*f - 60*f. 65*f Collect the terms in -63*d**3 - 5*d**2 + 2*d**2 - 180*d**3. -243*d**3 - 3*d**2 Collect the terms in 1 + 2 - 3 - 36*n**2. -36*n**2 Collect the terms in -57 + 3*l + 11 + 46. 3*l Collect the terms in 21*n**2 + 20*n**2 - 9*n**2. 32*n**2 Collect the terms in 141*w**2 - 5*w + 4*w + w - 127*w**2. 14*w**2 Collect the terms in 2*g**2 - 2*g**2 - 8*g**2 + 3*g**2. -5*g**2 Collect the terms in 522*y**2 - 8 - 7 - 524*y**2. -2*y**2 - 15 Collect the terms in -106*a + 106*a + 4*a**3. 4*a**3 Collect the terms in 2*h - 10 + 3 + h. 3*h - 7 Collect the terms in 0*x**2 - 9*x**2 + 19*x**2. 10*x**2 Collect the terms in 2 + 20*t**2 - 2 + 0. 20*t**2 Collect the terms in -4*h + 9*h - 6*h. -h Collect the terms in k + 2*k + 7*k. 10*k Collect the terms in 0*b**3 + 9*b**3 + 7*b**2 + 0*b + 0*b. 9*b**3 + 7*b**2 Collect the terms in 6*l**3 + 3*l**3 + 8*l**3 - 2*l**3. 15*l**3 Collect the terms in -20*t**2 - 6*t**2 - 4*t**2 + 6*t**2. -24*t**2 Collect the terms in 4*s + s + 2*s - 2*s + 3*s. 8*s Collect the terms in -5*w + 22*w + 11*w - 8*w. 20*w Collect the terms in -5*k**3 + 4*k**3 - 4*k**3. -5*k**3 Collect the terms in 2*m + 2*m + 4 + 2 - 9*m. -5*m + 6 Collect the terms in 104*i**2 + 52*i**2 + 47*i**2. 203*i**2 Collect the terms in 1 - 56*x - 1. -56*x Collect the terms in -2801*a**2 + a**3 - 2804*a**2 + 5605*a**2. a**3 Collect the terms in -17*h**3 + 395*h**2 - 395*h**2. -17*h**3 Collect the terms in 79 + 129 - 2*f - 32. -2*f + 176 Collect the terms in -71 - 72 + 143 + 317*n**3. 317*n**3 Collect the terms in -1 - 100*a + 1. -100*a Collect the terms in 21*o - 37*o + 28*o**2 + 16*o. 28*o**2 Collect the terms in 48*u**3 - 18*u**3 - 28*u**3. 2*u**3 Collect the terms in -34*w + 3*w + 40*w. 9*w Collect the terms in -7*y + 2*y - 71*y**2 + 18*y**2 + 4*y. -53*y**2 - y Collect the terms in 2 - 7*y**3 + 2*y**3 - 3. -5*y**3 - 1 Collect the terms in 17 + 5*x + 11 + 1. 5*x + 29 Collect the terms in -3*f**3 + 3*f**3 + 4*f**3 + 6*f**3. 10*f**3 Collect the terms in 4*v**3 + 6*v**3 - 3*v**3. 7*v**3 Collect the terms in 2*n**2 - 352 + 352. 2*n**2 Collect the terms in -96*r + 17*r**2 + 96*r. 17*r**2 Collect the terms in -289*m**2 + 145*m**2 + 3*m**3 - 6*m**3 + 144*m**2. -3*m**3 Collect the terms in -4*o + 0*o - 3*o. -7*o Collect the terms in 184*n**2 - 184*n**2 + n**3. n**3 Collect the terms in -10*q - 11*q - 9*q - 10*q + 37*q. -3*q Collect the terms in -2*h**2 + 14*h**2 + 7*h**2 + 6*h**2. 25*h**2 Collect the terms in -85*a**2 + 86*a**2 + 4*a**3 - 1 + 1. 4*a**3 + a**2 Collect the terms in -2*r + 1 - 1. -2*r Collect the terms in -357*z**2 + 720*z**2 - 367*z**2. -
{ "pile_set_name": "DM Mathematics" }
nd w, given that w**2 - 2222*w + 1234321 = 0. 1111 Factor 2*r**4/9 - 2*r**2/9. 2*r**2*(r - 1)*(r + 1)/9 Factor -3*o**3 + 339*o**2 - 10368*o + 43740. -3*(o - 54)**2*(o - 5) Suppose -5*m**5 - 45*m**4 - 100*m**3 + 80*m**2 + 480*m + 400 = 0. What is m? -5, -2, 2 Factor -4*w**3 - 8*w**2 + 36*w + 72. -4*(w - 3)*(w + 2)*(w + 3) Factor 5*q**3 - 45*q. 5*q*(q - 3)*(q + 3) Factor -z**3/3 + 67*z**2/3 - 304*z. -z*(z - 48)*(z - 19)/3 Factor 2*h**4/9 - 2*h**3 + 4*h**2. 2*h**2*(h - 6)*(h - 3)/9 Suppose 8*d**4/5 - 18*d**3/5 - 124*d**2/5 + 288*d/5 - 64/5 = 0. What is d? -4, 1/4, 2, 4 Factor -2*k**4 - 16*k**3 - 30*k**2 + 16*k + 32. -2*(k - 1)*(k + 1)*(k + 4)**2 Factor -15*f**2 + 114*f + 48. -3*(f - 8)*(5*f + 2) Factor -x**2/5 + 752*x/5 - 141376/5. -(x - 376)**2/5 Factor -h**3/4 - 2*h**2 + 11*h - 12. -(h - 2)**2*(h + 12)/4 Let -2*q**5 - 2*q**4 + 12*q**3 + 8*q**2 - 16*q = 0. Calculate q. -2, 0, 1, 2 Factor 81*x**2 - 795*x - 150. 3*(x - 10)*(27*x + 5) Factor -2*q**4/5 + 14*q**3/5 - 6*q**2 + 18*q/5. -2*q*(q - 3)**2*(q - 1)/5 Solve -y**3 - 82*y**2/3 - 101*y - 92/3 = 0. -23, -4, -1/3 Factor -2*j**3/3 - 16*j**2/3 + 62*j/3 - 44/3. -2*(j - 2)*(j - 1)*(j + 11)/3 Factor -15*t**4 + 42*t**3 + 27*t**2 - 54*t. -3*t*(t - 3)*(t - 1)*(5*t + 6) Suppose 38*k**4 + 130*k**3 + 124*k**2 + 32*k = 0. Calculate k. -2, -1, -8/19, 0 Factor -4*h**3 + 220*h**2 - 208*h - 432. -4*(h - 54)*(h - 2)*(h + 1) Solve -3*f**3/4 - 69*f**2/2 + 141*f/4 = 0. -47, 0, 1 Solve 3*x**3 - 195*x**2 + 3864*x - 21168 = 0 for x. 9, 28 Factor l**5/3 - 2*l**3/3 + l/3. l*(l - 1)**2*(l + 1)**2/3 Factor -2*p**2/7 + 158*p/7 - 876/7. -2*(p - 73)*(p - 6)/7 Factor 2*a**4/11 - 316*a**3/11 + 13098*a**2/11 - 4424*a + 4312. 2*(a - 77)**2*(a - 2)**2/11 Suppose h**5/3 + h**4 - 25*h**3/3 + 25*h**2/3 + 8*h - 28/3 = 0. Calculate h. -7, -1, 1, 2 Factor -12*r**2 + 339*r - 84. -3*(r - 28)*(4*r - 1) Solve -2*r**4/5 + 32*r**3/5 - 94*r**2/5 - 272*r/5 + 1056/5 = 0. -3, 4, 11 Determine g so that -2*g**3/7 + 796*g**2/7 = 0. 0, 398 Factor -2*v**4 - 2016*v**3 - 762048*v**2 - 128024064*v - 8065516032. -2*(v + 252)**4 Factor 2*q**3/19 - 158*q**2/19 + 2070*q/19 + 44550/19. 2*(q - 45)**2*(q + 11)/19 Factor -3*p**2/7 + 33*p. -3*p*(p - 77)/7 Determine n so that -n**4 - 3*n**3 + 14*n**2 + 48*n + 32 = 0. -4, -2, -1, 4 Factor -1088*p**3 - 100*p**2 - 2*p. -2*p*(16*p + 1)*(34*p + 1) Factor 4*a**3 + 12*a**2 - 4*a - 12. 4*(a - 1)*(a + 1)*(a + 3) Find p such that p**5/4 - 5*p**4/4 - 49*p**3/2 + 373*p**2/2 - 1183*p/4 + 539/4 = 0. -11, 1, 7 Find w such that -4*w**2 - 36*w + 88 = 0. -11, 2 Find o such that -3*o**4/4 - 9*o**3/2 + 153*o**2/4 - 33*o = 0. -11, 0, 1, 4 Factor 4*z**3 + 164*z**2 + 1760*z + 1600. 4*(z + 1)*(z + 20)**2 Find w such that -w**5 - 14*w**4 + 21*w**3 + 90*w**2 = 0. -15, -2, 0, 3 Factor p**4/3 - p**3 - 53*p**2/3 + 85*p - 200/3. (p - 5)**2*(p - 1)*(p + 8)/3 Solve -2*r**2/13 + 50/13 = 0 for r. -5, 5 Determine r so that r**2/4 + 25*r/4 - 27/2 = 0. -27, 2 Find i, given that -i**2 + 1344*i - 451584 = 0. 672 Factor -s**2 - 1084*s - 293764. -(s + 542)**2 Let 2*z**2/9 - 118*z/9 + 212/3 = 0. What is z? 6, 53 Determine u so that u**3/2 + 15*u**2/2 - 8*u = 0. -16, 0, 1 Determine n, given that -12*n**4/7 + 320*n**3 - 3704*n**2/7 + 736*n/7 + 740/7 = 0. -1/3, 1, 185 Factor -3*y**3/5 + 366*y**2 + 3*y/5 - 366. -3*(y - 610)*(y - 1)*(y + 1)/5 Solve -l**4/5 - l**3 + 32*l**2/5 - 36*l/5 = 0. -9, 0, 2 Let 10*z**5/9 - 28*z**4 - 478*z**3/9 - 24*z**2 = 0. Calculate z. -1, -4/5, 0, 27 Find w, given that w**3/3 + 3*w**2 + 20*w/3 + 4 = 0. -6, -2, -1 Factor -31*o**2 - 60*o + 4. -(o + 2)*(31*o - 2) Suppose -24*h**5 - 618*h**4 + 2913*h**3 - 4323*h**2 + 2592*h - 540 = 0. Calculate h. -30, 1/2, 3/4, 1, 2 Determine n so that 3*n**5/8 + 15*n**4/8 + 21*n**3/8 - 3*n**2/8 - 3*n - 3/2 = 0. -2, -1, 1 Let 4*j**3 + 140*j**2 + 268*j + 132 = 0. Calculate j. -33, -1 Factor 2*f**4 + 416*f**3 + 21630*f**2 - 416*f - 21632. 2*(f - 1)*(f + 1)*(f + 104)**2 Determine l so that -2*l**4/7 + 24*l**3/7 - 6*l**2 - 124*l/7 + 144/7 = 0. -2, 1, 4, 9 Factor -d**2/3 - 29*d/3 + 170/3. -(d - 5)*(d + 34)/3 Factor -2*j**3 - 6*j**2 + 2*j + 6. -2*(j - 1)*(j + 1)*(j + 3) Factor -338*h**3 + 14014*h**2 - 6414*h + 738. -2*(h - 41)*(13*h - 3)**2 Suppose 2*p**5 - 12*p**4 + 14*p**3 + 36*p**2 - 88*p + 48 = 0. Calculate p. -2, 1, 2, 3 Factor -2*i**3/11 - 236*i**2/11 - 5922*i/11 + 63504/11. -2*(i - 8)*(i + 63)**2/11 Determine l, given that l**4 - 26*l**3/3 + 31*l**2/3 + 140*l/3 - 100/3 = 0. -2, 2/3, 5 Factor 45*h**2 + 4510*h + 1000. 5*(h + 100)*(9*h + 2) Solve -22*f**4/5 - 332*f**3/15 - 538*f**2/15 - 56*f/3 - 8/15 = 0 for f. -2, -1, -1/33 Factor -m**2/2 + 351*m/2 + 890. -(m - 356)*(m + 5)/2 Factor 720*p**4 - 4440*p**3 + 7205*p**2 - 1110*p + 45. 5*(p - 3)**2*(12*p - 1)**2 Solve -g**5 - g**4 + 5*g**3 - 3*g**2 = 0. -3, 0, 1 Determine n, given that n**4/3 + 14*n**3/3 + 25*n**2/3 + 4*n = 0. -12, -1, 0 Find j such that 25*j**5 - 2505*j**4 - 2068*j**3 + 24352*j**2/5 - 11328*j/5 + 1616/5 = 0. -2, 2/5, 101 Factor z**2/7 - 38*z/7 - 80/7. (z - 40)*(z + 2)/7 Factor 2*l**3 - 96*l**2 - 1110*l - 2900. 2*(l - 58)*(l + 5)**2 Suppose -5*x**4 - 180*x**3 - 910*x**2 + 14700*x + 15435 = 0. What is x? -21, -1, 7 Find l such that l**5 - 3*l**4 - 46*l**3 - 78*l**2 + 45*l + 81 = 0. -3, -1, 1, 9 Suppose -i**2/2 - 75*i/2 - 37 = 0. What is i? -74, -1 What is f in 2*f**2 - 732*f = 0? 0, 366 Factor -1530169*v**2/2 + 2474*v - 2. -(1237*v - 2)**2/2 Suppose 5*x**3 + 110*x**2 + 520*x + 640 = 0. Calculate x. -16, -4, -2 Let 2*m**2 - 17*m + 8 = 0. What is m? 1/2, 8 Suppose -a**5/4 + 15*a**4/4 + 91*a**3/4 + 173*a**2/4 + 69*a/2 + 10 = 0. Calculate a. -2, -1, 20 Factor -q**3 - 705*q**2 - 124608*q - 123904. -(q + 1)*(q + 352)**2 Solve s**4 + 99*s**3 + 2622*s**2 - 10108*s - 823080 = 0 for s. -38, 15 Factor d**2/7 - 62*d/7 + 961/7. (d - 31)**2/7 Factor -405*r**2 + 6*r. -3*r*(135*r - 2) Factor 38*a**3/9 - 104*a**2/3 - 30*a. 2*a*(a - 9)*(19*a + 15)/9 What is f in f**2/11 + 7*f/11 - 18/11 = 0? -9, 2 Let -n**3 + 12*n + 16 = 0. Calculate n. -2, 4 Factor -b**2 + 168*b - 7056. -(b - 84)**2 Solve -36*m**4 + 188*m**3 - 292*m**2 + 164*m - 24 = 0. 2/9, 1, 3 Factor 3*a**5 - 18*a**4 - 93*a**3 + 108*a**2. 3*a**2*(a - 9)*(a - 1)*(a + 4) Factor 2*b**2/7 + 740*b/7 + 68450/7. 2*(b + 185)**2/7 Solve -17*g**3 - 66*g**2 + 93*g - 10 = 0. -5, 2/17, 1 Factor 4*k**3 + 1416*k**2 + 1412*k. 4*k*(k + 1)*(k + 353) Let 3*h**4 + 462*h**3 + 912*h**2 = 0. What is h? -152, -2, 0 What is b in 7*b**5/3 + 4058*b**4/3 + 587540*b**3/3 - 168200*b**2/3 = 0? -290, 0, 2/7 Factor y**3/5 - 3*y**2 + 27*y/5 - 13/5. (y - 13)*(y - 1)**2/5 Factor 4*v**4/7 + 7*v**3 + 156*v**2/7 + 36*v/7. v*(v + 6)**2*(4*v + 1)/7 Find z such that 3*z**3 - 12*z**2 - 63*z = 0. -3, 0, 7 Factor f**2/3 + 2*f - 112/3. (f - 8)*(f + 14)/3 Factor -3*p**3/8 + 51*p**2/4 - 189*p/2 - 243. -3*(p - 18)**2*(p + 2)/8 Factor -g**3/4 + 7*g**2/4 - 7*g/4 - 15/4. -(g - 5)*(g - 3)*(g + 1)/4 Factor 2*x**3/13 - 12654*x**2/13 + 20021790*x/13 - 20009138/13. 2*(x - 3163)**2*(x - 1)/13 Suppose 2*o**5 + 46*o**4 + 102*o**3 - 414*o**2 - 1080*o = 0. What is o? -20, -3, 0, 3 Factor -3*k**2 + 1014*k + 3069. -3*(k - 341)*(k + 3) Find q such that 3*q**3/4 - 123*q**2/4 + 57*q/2 + 60 = 0. -1, 2, 40 Suppose -2*t**4 + 76*t**3 + 528*t**2 = 0. What is t? -6, 0, 44 Determine z so that -z**5/8 - 4*z**4 - 249*z**3/8 - 335*z**2/4 - 179*z/2 - 33 = 0. -22, -6, -2, -1 Factor 25*l**2 - 115*l - 50. 5*(l - 5)*(5*l + 2) Let u**3/3 - 293*u**2/3 + 872*u/3 - 580/3 = 0. What is u? 1, 2, 290 Suppose -m**2 - 54*m + 952 = 0. What is m? -68, 14 Factor -x**3/5 - 5*x**2 + 146*x/5 - 24. -(x - 4)*(x - 1)*(x + 30)/5 Let -4*i**5 - 48*i**4 - 84*i**3 - 40*i**2 = 0. What is i? -10, -1, 0 Factor 2*u**4/9 - 52*u**3/3 + 34*u**2 - 152*u/9. 2*u*(u - 76)*(u - 1)**2/9 Find r such that 8*r**4 - 75*r**3 - 53*r**2 + 30*r = 0. -1, 0, 3/8, 10 Factor 9*y**2 - 367*y - 82. (y - 41)*(9*y + 2) Factor -54*t**5/7 - 29808*t**4/7 - 29772*t**3/7 - 9920*t**2/7 - 1102*t/7. -2*t*(t + 551)*(3*t + 1)**3/7 Let -5*j**5 + 85*j**4 - 450*j**3 + 650*j**2 + 455*j - 735 = 0. What is j? -1, 1, 3, 7 What is h in 4*h**3/3 - 20*h**2/3 + 16*h/3 = 0? 0, 1, 4 What is g in -2*g**3/3 + 8*g**2 - 40*g/3 = 0? 0, 2, 10 Factor -c**2 + 181*c + 366. -(c - 183)*(c + 2) Factor -5*n**4 - 1455*n**3 - 106575*n**2 - 105125*n. -5*n*(n + 1)*(n + 145)**2
{ "pile_set_name": "DM Mathematics" }
= -n**3 + 4*n**2 + 1. Let j be w(4). Suppose 3*x - j = -f + 3, 2*f - 1 = x. What is the tens digit of ((-15)/(-6) - x)*12? 1 Let m = -1231 - -2270. What is the units digit of m? 9 Suppose -20*g = -13*g - 1519. What is the units digit of g? 7 Suppose 0 = 2*y + 10*y - 6084. What is the tens digit of y? 0 What is the thousands digit of (962/(-182) - (-2)/7) + 1185? 1 Let j(y) = y + 10. Let r be j(10). Let b = r - 44. Let u = b + 59. What is the tens digit of u? 3 Suppose 28 = 5*x + 3. Suppose 266 = -0*r + 3*r + x*s, -3*r + s = -260. What is the tens digit of r? 8 Let g = 367 + -167. What is the tens digit of g? 0 Suppose -1337 = -n - 6*n. What is the units digit of n? 1 Let t(y) = 127*y**2 - y - 15. What is the units digit of t(-3)? 1 Suppose 2*v + 7*s - 1062 = 3*s, -4*v = -3*s - 2168. What is the units digit of v? 9 Let m(v) = -v - 14. Let o be m(-8). Let z be 4/o + (-116)/(-12). Let s(f) = -f**3 + 10*f**2 - 6*f - 3. What is the tens digit of s(z)? 2 What is the thousands digit of (-12)/9 + 58008/36? 1 Let y(x) be the second derivative of 7*x**4/12 - x**3/2 - 7*x**2/2 - 21*x. What is the units digit of y(-3)? 5 Let v = 74 + 238. What is the units digit of v? 2 Let c(w) = w**3 - 14*w**2 + 23*w - 14. Let m be c(13). Suppose -2*k + 4*s = -m, k = -5*s + 5 + 39. What is the tens digit of k? 5 Let a be (4/(-2))/(-1) - 10. Let i(o) be the second derivative of o**4/12 + o**3 + 2*o**2 - o. What is the units digit of i(a)? 0 Suppose 0 = y - 3*y - 3*f + 1133, y = -4*f + 559. What is the units digit of y? 1 Suppose -o - 4*o = 0. Suppose -5*p - m + 32 + 2 = o, 4*p - 36 = -3*m. What is the units digit of p? 6 Suppose 8911 = 7*t + 553. What is the hundreds digit of t? 1 Suppose -3*k + 4 = -5. Suppose -3*a + k*d + 252 = -d, d = 0. What is the units digit of a? 4 Suppose 93*z = 63*z + 149580. What is the tens digit of z? 8 Let r = 285 - 130. What is the units digit of r? 5 Let o = -9 + 13. Suppose -3 = 3*j - 0*j, -o*j = -2*i + 14. Suppose -3*v + 2*v + 30 = i*s, 0 = -4*s - 2*v + 24. What is the units digit of s? 6 Let i be 39/(-2)*4/(-6). Suppose -12*n - i = -13*n. What is the units digit of n? 3 Suppose 0 = -10*w + 14*w - 12. What is the units digit of w - (199/(-4) + 6/8)? 2 Let u be (-4)/(-14) - 186/14. Let p(k) = k**2 + 4*k - 1. Let s(t) = -2*t + 1. Let o(r) = p(r) - 3*s(r). What is the tens digit of o(u)? 3 Suppose -5*t = -10*t + 4865. What is the units digit of t? 3 Let w(c) = 2*c**2 - 15*c + 8. Let s be w(-7). Suppose 3*v - v = -o + 49, s = 4*o + 5*v. What is the tens digit of o? 5 Suppose t = 2*t - 3. Suppose -4*l = -3*w + 12, t*w - l - 3 = 2*w. Suppose w = -4*n - 3*i + 37, 3 = i - 0. What is the units digit of n? 7 Suppose -913 + 3145 = 8*p. What is the hundreds digit of p? 2 Let y = 2685 - 1582. What is the units digit of y? 3 Suppose 0*i - 4*i + a + 1511 = 0, -4*a - 12 = 0. What is the tens digit of i? 7 Let g(f) = -3*f + 4. Let x(t) = 5*t + 8. Let k be x(-3). What is the units digit of g(k)? 5 Let m = -64 - -67. Suppose -3*q - 52 = -3*o + 29, -2*o + 69 = m*q. What is the tens digit of o? 3 What is the hundreds digit of 1 - ((3 - 1 - -4) + -1575)? 5 Let m(t) = -4*t**2 - 5*t - 5. Let x be m(3). Let f = 103 - x. What is the units digit of f? 9 Suppose 2*z - 2 = -0*z, -5*z + 4136 = 3*b. What is the units digit of b? 7 Let i = 3138 - 1658. What is the hundreds digit of i? 4 Let o = -406 - -809. What is the tens digit of o? 0 Let y be 1/((-27)/15 + 2). Suppose 0 = 7*o - y*o + 2. What is the units digit of o*(-148)/(1 - -3)? 7 Suppose 2*l - 5 + 9 = 0. Let i be 18/((1 - -1)/l). What is the tens digit of ((-51)/i)/((-4)/(-24))? 1 Suppose -2*y = -6*z + 5*z - 1762, -2*y + 1768 = 2*z. What is the units digit of y? 2 Let k = 22 - -157. What is the hundreds digit of k? 1 What is the units digit of (-21730)/(-371)*56/20? 4 Let r be ((-15)/(-35))/((-2)/(-14)). Suppose 2*f - 4*s - 852 = -f, -s = r. What is the tens digit of f? 8 Suppose 3*j - 3512 = p, 4*j + j - p - 5850 = 0. What is the hundreds digit of j? 1 Suppose -25078 = -28*w - 46. What is the tens digit of w? 9 Suppose 3*r - 17 + 5 = 0, -16 = -4*l + 4*r. Let f(t) = 14*t - 3. Let o be f(l). Suppose o = 5*d - 11. What is the tens digit of d? 2 Let y = 24 - 22. Suppose -67 = -y*k - 2*i - i, 0 = 2*k + 2*i - 62. What is the units digit of k? 6 Let t(q) = -103*q + 13. Let p be t(-2). Let z = -140 + p. What is the tens digit of z? 7 Suppose -m - 5*d + 9 = m, 4 = 4*d. Suppose m*k = 134 + 46. What is the tens digit of k? 9 Let c = 5313 - 1027. What is the tens digit of c? 8 Let a(t) = t**3 - 38*t**2 + 13*t - 125. What is the hundreds digit of a(40)? 5 Let f = -1718 + 3324. What is the hundreds digit of f? 6 Suppose -s = 5*b - 29, 4*s - 3*b = 8*s - 31. Suppose 2*q = s*y - 3*q - 286, 0 = 5*y + 3*q - 339. What is the tens digit of y? 6 Let g = 97 + 202. Let a = 449 - g. What is the hundreds digit of a? 1 Suppose -4*w = -0*w - 40. Suppose y = -0*y + 3*f + 10, -5*f = -w. What is the units digit of y? 6 Let r = 9 + -15. What is the units digit of (59/2 - 3)/((-3)/r)? 3 Let i(g) = g**2 + 16. Let p = 7 - 17. Let b be p + 10 - (0 + 0). What is the tens digit of i(b)? 1 Let n(p) be the first derivative of 8 + 17*p - 13/2*p**2. What is the units digit of n(-4)? 9 Suppose 118*q - 618 = 115*q. What is the units digit of q? 6 Suppose 0 = 6*d - 48 + 486. Let u = d - -192. What is the units digit of u? 9 Let i(t) = -2*t**3 - 8*t**2 + 3*t + 35. What is the thousands digit of i(-10)? 1 Let b(z) = -z**2 + 11*z + 6. Let p be b(9). Let c = p - 18. Suppose c = -8*f + 9*f. What is the units digit of f? 6 Suppose 0 = -7*p + p + 60. Suppose p*i - 1242 = i. What is the hundreds digit of i? 1 What is the tens digit of (-6 - -12) + (1 - -349)? 5 Let r(u) = u + 13. Let v be r(-7). Suppose 4*a = 2 + v. Suppose -x + 49 = 4*d, 5*d = -a*x + 38 + 27. What is the units digit of d? 1 Suppose -m - m - 4153 = -3*z, 4*z - 5*m - 5528 = 0. What is the thousands digit of z? 1 Suppose -6922 = -7*q + 1996. What is the tens digit of q? 7 Let p = -1 + 7. Let j = p - 4. Suppose -3*q = -6*r + j*r + 138, -4*r - 5*q = -122. What is the tens digit of r? 3 Let t(z) = -6*z - 5. Let u be t(-4). Let p be 8/18*(14/4 - -1). Suppose -2*b + 33 = p*v + 3*b, -u = -v - 2*b. What is the tens digit of v? 2 Suppose 27*x = 19*x + 18912. What is the tens digit of x? 6 Let v(a) = a**3 + a**2 - 3*a - 41. What is the thousands digit of v(14)? 2 Suppose d - 11 = 4. Suppose -d*x - 105 = -16*x. What is the units digit of x? 5 Let f = 5 - -4. Suppose -7*w - 20 = -f*w. What is the tens digit of w? 1 Let z = 67 - 67. Suppose 10*n - 4*n - 366 = z. What is the tens digit of n? 6 Let c(a) = 32*a + 10. What is the units digit of c(6)? 2 Let x(p) = p**2 - 46*p - 455. What is the thousands digit of x(-26)? 1 Let w(z) = -z**3 - 19*z**2 + 29*z - 30. What is the hundreds digit of w(-21)? 2 Suppose -3*c + 0*c - n + 15 = 0, -3*n = 4*c - 20. Suppose -1481 = -c*h + 184. Suppose -4*l = 101 - h. What is the tens digit of l? 5 Let t(f) = -f**3 + 11*f**2 - 7*f - 8. Let c be (-1 + -1)*91/(-14). Suppose 3 - c = -w. What is the tens digit of t(w)? 2 Let f = -18 + 86. Let p = f + -5. What is the tens digit of p? 6 Let k = 2 - -24. Let u = -1 + k. Let g = -6 + u. What is the units digit of g? 9 What is the thousands digit of 44/11*2066/8? 1 Let z(v) be the third derivative of v**4/24 - v**3/3 - 7*v**2. Let q be z(2). Suppose g - 32 = -q*g. What is the units digit of g? 2 Suppose p + 2*p - 33 = 0. Suppose 5*s = -3*t + 31, s + 2*t + 2 = p. Suppose 75 = s*x + 5*y, 3*x - 49 = 2*y - y. What is the units digit of x? 6 Suppose -2*u = -4*c + 42, u = 9*c - 6*c - 30. What is the tens digit of (1 + 0)/(c/2070)? 3 Suppose y - 1538 = 3*a, 4*a + 3072 = 9*y - 7*y. What is the units digit of y? 2 Let l(m) = -5*m - 1. Let a be l(12). Let h = a - -159. What is the tens digit of h? 9 Let y(i) = -17*i**3 - i**2 + i + 1. Let l be y(1). What is the hundreds digit of (-24)/l*(-398)/(-3)? 1 Let f(w) = -w**3 + 7*w**2 - 6*w + 3. Let l be 1/3 + 8/3. Suppose -l = -2*a - 3*u, 0*a - 21 = -2*a + 3*u. What is the units digit of f(a)? 3 Let r(n) = n**2 + 9*n + 12. Suppose -3*i - 8 = -2*i. What is the units digit of r(i)? 4 Let q be 0 + (4 - (-4 + 0)). Suppose -q*p + 17*p - 855 = 0. What is the units digit of p? 5 Let a(p) = p**2 + 11*p + 16.
{ "pile_set_name": "DM Mathematics" }
23825 a multiple of 138? False Does 64 divide 12352? True Is 36 a factor of 4402? False Is 17914 a multiple of 42? False Is 58 a factor of 14848? True Is 1865 a multiple of 5? True Does 85 divide 1956? False Does 56 divide 94745? False Is 462 a multiple of 68? False Is 7220 a multiple of 10? True Is 8 a factor of 904? True Is 238 a factor of 121380? True Is 4597 a multiple of 4? False Is 6 a factor of 24510? True Is 22 a factor of 42272? False Does 37 divide 444? True Is 64830 a multiple of 30? True Is 268 a multiple of 12? False Is 18 a multiple of 9? True Does 2 divide 75? False Does 25 divide 859? False Is 420 a multiple of 15? True Does 4 divide 2593? False Does 5 divide 230? True Is 240 a multiple of 40? True Does 40 divide 520? True Is 30017 a multiple of 42? False Is 9994 a multiple of 58? False Is 94980 a multiple of 20? True Does 118 divide 15104? True Does 15 divide 14104? False Is 27 a factor of 297? True Is 6 a factor of 34? False Is 8 a factor of 303? False Does 70 divide 8447? False Is 80 a factor of 4246? False Is 124 a factor of 15004? True Is 380 a multiple of 36? False Is 833 a multiple of 16? False Does 54 divide 37333? False Does 13 divide 3549? True Does 10 divide 6762? False Is 21 a factor of 5554? False Is 38 a factor of 1456? False Is 180 a multiple of 5? True Is 459 a multiple of 4? False Does 30 divide 15331? False Is 92 a multiple of 7? False Does 104 divide 520? True Is 7295 a multiple of 5? True Is 27572 a multiple of 140? False Is 14 a factor of 14210? True Is 3956 a multiple of 86? True Is 3283 a multiple of 49? True Is 12480 a multiple of 39? True Is 6999 a multiple of 75? False Is 14 a factor of 14829? False Is 6119 a multiple of 64? False Does 17 divide 663? True Does 21 divide 462? True Is 920 a multiple of 6? False Is 24 a factor of 4418? False Is 1890 a multiple of 14? True Does 20 divide 4320? True Does 6 divide 2883? False Is 14214 a multiple of 194? False Does 36 divide 5220? True Does 31 divide 2387? True Does 6 divide 1422? True Does 8 divide 38811? False Is 24942 a multiple of 278? False Is 109 a factor of 3379? True Is 33 a factor of 924? True Does 47 divide 63? False Is 35340 a multiple of 114? True Does 133 divide 16492? True Does 28 divide 4757? False Is 103155 a multiple of 61? False Is 55 a factor of 63030? True Does 4 divide 24? True Is 127 even? False Is 3 a factor of 519? True Does 77 divide 924? True Is 8214 a multiple of 74? True Does 62 divide 2062? False Is 23980 a multiple of 436? True Is 9 a factor of 2196? True Is 65 a factor of 5915? True Is 5 a factor of 4450? True Is 105678 a multiple of 206? True Is 5 a factor of 5? True Does 156 divide 21372? True Is 18430 a multiple of 10? True Is 27498 a multiple of 25? False Does 14 divide 36252? False Is 23 a factor of 10985? False Does 14 divide 56? True Is 34 a factor of 9146? True Is 6 a factor of 155? False Does 27 divide 774? False Does 16 divide 2949? False Is 9 a factor of 4779? True Is 56362 a multiple of 90? False Does 8 divide 5983? False Is 120 a factor of 5744? False Is 277 a multiple of 7? False Is 306 a multiple of 34? True Is 2 a factor of 1026? True Does 86 divide 1973? False Does 49 divide 5732? False Is 1182 a multiple of 18? False Is 17 a factor of 6025? False Does 38 divide 7472? False Does 27 divide 1461? False Is 79 a factor of 11929? True Is 6 a factor of 1737? False Is 56 a factor of 41608? True Is 6045 a multiple of 15? True Is 42 a factor of 611? False Does 7 divide 3227? True Is 9 a factor of 8845? False Does 26 divide 2401? False Does 85 divide 21599? False Is 46 a factor of 168? False Does 7 divide 294? True Is 8 a factor of 1038? False Is 433 a multiple of 14? False Is 770 a multiple of 4? False Is 5 a factor of 8540? True Is 3348 a multiple of 31? True Is 39 a factor of 6903? True Is 69 a factor of 561? False Is 74 a multiple of 11? False Is 3773 a multiple of 7? True Does 10 divide 1410? True Is 17 a factor of 1003? True Is 1455 a multiple of 15? True Is 31 a factor of 51531? False Is 55 a factor of 2255? True Is 1247 a multiple of 3? False Does 22 divide 15609? False Is 5670 a multiple of 189? True Is 35 even? False Does 40 divide 17720? True Does 62 divide 16025? False Is 836 a multiple of 19? True Is 10 a factor of 150? True Is 1453 a multiple of 13? False Is 26 a factor of 2055? False Is 2525 a multiple of 25? True Does 18 divide 3276? True Does 21 divide 137? False Does 10 divide 226? False Is 23 a factor of 52608? False Does 3 divide 1359? True Is 37872 a multiple of 24? True Is 3738 a multiple of 14? True Is 16724 a multiple of 12? False Does 2 divide 44? True Is 28 a factor of 1026? False Is 740 a multiple of 20? True Is 5 a factor of 425? True Does 12 divide 4440? True Does 20 divide 7960? True Is 2 a factor of 68? True Is 414 a multiple of 23? True Does 65 divide 100400? False Is 860 a multiple of 20? True Is 13 a factor of 247? True Does 60 divide 23700? True Is 9472 a multiple of 128? True Is 8816 a multiple of 12? False Does 159 divide 6996? True Is 5 a factor of 470? True Does 191 divide 7831? True Does 37 divide 629? True Is 2475 a multiple of 33? True Is 1159 a multiple of 17? False Does 101 divide 4848? True Does 82 divide 945? False Is 10 a factor of 4760? True Does 33 divide 1320? True Does 96 divide 7742? False Is 2163 a multiple of 7? True Does 126 divide 26521? False Is 351 a multiple of 5? False Is 15 a factor of 1547? False Is 301 a multiple of 30? False Is 95 a factor of 162355? True Is 39740 a multiple of 74? False Is 360 a multiple of 36? True Does 70 divide 88? False Is 2163 a multiple of 21? True Is 213 a factor of 35358? True Is 8 a factor of 5096? True Is 6 a factor of 54? True Is 621 a multiple of 6? False Is 18367 a multiple of 36? False Is 113 a factor of 6667? True Does 105 divide 2100? True Does 8 divide 912? True Does 55 divide 123475? True Is 217 a multiple of 5? False Does 60 divide 2519? False Does 28 divide 80192? True Does 6 divide 207? False Is 25061 a multiple of 8? False Is 84 a multiple of 28? True Is 114 a multiple of 6? True Does 20 divide 4399? False Is 43595 a multiple of 7? False Is 22 a factor of 275? False Is 41 a factor of 131? False Does 14 divide 7846? False Does 8 divide 792? True Is 12 a factor of 241? False Does 32 divide 1231? False Is 81792 a multiple of 96? True Is 228 a multiple of 10? False Is 13 a factor of 1573? True Does 84 divide 5040? True Is 11 a factor of 118? False Does 16 divide 3344? True Does 18 divide 630? True Is 58876 a multiple of 4? True Does 354 divide 46985? False Is 28 a factor of 3359? False Is 29 a factor of 874? False Is 36 a factor of 1194? False Is 16530 a multiple of 110? False Does 21 divide 84? True Is 324 a multiple of 27? True Is 293 a multiple of 7? False Is 334 a multiple of 13? False Is 8 a factor of 3368? True Does 12 divide 144? True Does 15 divide 12312? False Does 94 divide 4095? False Is 6600 a multiple of 24? True Does 20 divide 10440? True Does 151 divide 8784? False Is 12 a factor of 88? False Is 301 even? False Does 51 divide 3111? True Does 272 divide 86198? False Does 36 divide 42984? True Is 60 a factor of 360? True Is 1050 a multiple of 27? False Is 102 a factor of 1428? True Does 2 divide 1172? True Is 27 a factor of 42687? True Does 9 divide 261? True Is 137 a factor of 6987? True Is 3308 a multiple of 5? False Does 16 divide 1363? False Is 3 a factor of 67? False Does 32 divide 6164? False Does 10 divide 575? False Does 10 divide 1470? True Is 3650 a multiple of 6? False Is 2114 a multiple of 14? True Is 1164 a multiple of 130? False Is 512 a multiple of 16? True Is 30 a factor of 6540? True Does 10 divide 227? False Is 8249 a multiple of 73? True Is 14 a factor of 6566? True Is 88 a factor of 12320? True Does 8 divide 4592? True Does 60 divide 35460? True Does 17 divide 16145? False Is 7 a factor of 75? False Is 28 a factor of 28392? True Does 2 divide 258? True Does 21 divide 62679? False Is 28 a factor of 17561? False Is 1941 a multiple of 143? False Is 476 a multiple of 34? True Is 7 a factor of 7? True Is 356 a multiple of 20? False Does 37 divide 704? False Is 27 a factor of 114? False Does 2 divide 251? False Is 57 a factor of 748? False Is 36 a factor of 972? True Does 25 divide 1100? True
{ "pile_set_name": "DM Mathematics" }
2336. Let s = 286 - -66. Calculate the greatest common divisor of y and s. 32 Suppose 0 = -74*f + 91*f - 7106. What is the highest common factor of f and 308? 22 Let v be ((-24)/(-28)*14/10)/(18/960). Suppose 696 = 3*a + 2*a - 4*u, u = -3*a + 421. Suppose 4*i - a = 52. What is the greatest common factor of i and v? 16 Suppose 524*g + 2130 = 529*g. Suppose 2626 = 11*q + g. What is the greatest common factor of q and 125? 25 Let i(p) = p**2. Let v be i(-2). Suppose t - 4*h = -v, 10*t - 5*t - 46 = -2*h. Suppose 6*j = j + 20. What is the highest common divisor of t and j? 4 Suppose -1155*k - 227409 = -1246*k. What is the highest common factor of 1190 and k? 119 Let u(v) = 5*v + 178. Let w be u(-43). Let j(x) = -x**2 - 40*x + 81. Let i be j(w). What is the greatest common factor of 12 and i? 12 Let s be (28/10)/(7 - 306/45). Let f(n) = -13*n**3 + n**2 + 2*n + 2. Let y be f(-1). Calculate the highest common divisor of s and y. 14 Suppose -a + 3*l = -0*l + 11, 0 = -4*a - 5*l - 10. Let p be ((-24)/a)/(62/465). What is the greatest common divisor of p and 36? 36 Suppose -2*m - 21*c + 19*c = -20862, 7*c - 7 = 0. Calculate the greatest common divisor of m and 14. 14 Let w be (40 + 0)*(-25)/(-50). Suppose -2*t = -t + 2*s, 3*t + s - w = 0. Let u be (-2 - (-14)/5)*20. What is the greatest common divisor of u and t? 8 Suppose -3 + 18 = 5*r. Let n = r + 1. Let g = -117 - -127. What is the greatest common factor of n and g? 2 Suppose -55 = -4*m + i + 61, m - 34 = -i. What is the greatest common divisor of m and 1290? 30 Let v be 0 - (5 - 1) - 2/((-54)/2673). Suppose 0 = -3*h - 2*h - 2*l + 295, -4*h + l = -223. What is the highest common divisor of h and v? 19 Let d be 53 + -30 + 40*43. Calculate the highest common factor of d and 166. 83 Suppose -2*b + 150 = -289*f + 285*f, -5*b + 4*f + 351 = 0. Calculate the highest common divisor of b and 2077. 67 Let n be 1/(0 - 4/(-1244)). Let f = n - -89. What is the greatest common divisor of 40 and f? 40 Let p = -3903 - -3911. Calculate the highest common divisor of 7696 and p. 8 Suppose 5*k - 3*a + 16 = 53, 4*a = 3*k - 31. Let w = -28108 - -28253. Calculate the highest common factor of k and w. 5 Suppose 3*y = 8*y - 25, -17 = s - 5*y. What is the greatest common factor of s and 864? 8 Suppose -2*b - 5*q + 150 = 0, -3*q = 5*b - 25 - 369. Suppose b - 30 = -2*d. Let z = 27 + d. What is the highest common divisor of z and 46? 2 Let b = 9716 + -9198. Calculate the greatest common factor of 1369 and b. 37 Let w be -1*4/(-7) + (-3892)/(-49). Let h(d) = 4*d**3 + 3*d**2 - 18*d + 39. Let l be h(3). What is the greatest common divisor of l and w? 40 Suppose -9*b + 247 - 13 = 0. Calculate the greatest common factor of b and 48. 2 Suppose -47*y - 55 = -102*y. Let b be 28/20 + 6/10. Suppose b*f - 3 - 3 = 0. Calculate the highest common factor of f and y. 1 Suppose 0 = -3*i - 4 - 26. Let p(f) = -2*f + 46. Let k be p(i). What is the greatest common divisor of 22 and k? 22 Suppose 9615 = 16*z - 2*z - 143. What is the highest common divisor of z and 493? 17 Suppose 0 = t + 12 - 3. Let g(n) = -3*n - 25. Let j be g(t). Let w be (416/48)/(j/(-6) - -1). Calculate the greatest common divisor of w and 65. 13 Let f be 51 + -3 + 0 - -4. Suppose -32 - f = -3*c. Let t(o) = 19*o - 11. Let d be t(5). Calculate the highest common divisor of d and c. 28 Suppose 0 = -9*c + 13*c - 2*b - 5738, 0 = 3*c - 2*b - 4303. Suppose c = -27*g + 34*g. Calculate the greatest common divisor of 123 and g. 41 Let a be 11/(4 - 1 - 4). Let m(p) = -p**2 - 10*p + 19. Let o be m(a). Calculate the greatest common factor of 140 and o. 4 Suppose -5*v = 27 + 43. Let d be (19/1)/(v + 13). Let s be (d + 1)/(6/(-4)). Calculate the greatest common divisor of 6 and s. 6 Suppose z + s + s - 363 = 0, -4*z + 5*s = -1387. Let q = z - 278. What is the greatest common factor of 75 and q? 75 Let d be (17 - 16)/(1/79). Suppose -88 = 4*q + 4*o, -4*q + 2*o = -3*o + d. Let k = -17 - q. Calculate the greatest common divisor of k and 10. 2 Let h be 8/(-3)*1638/364 - -24. Let p(b) be the first derivative of -2*b**2 + 8*b - 2. Let c be p(-7). What is the highest common factor of h and c? 12 Let i = 10887 + -10818. Calculate the highest common divisor of 3749 and i. 23 Suppose 0 = -4*h - 4*t - 112, -2*t + 0 + 2 = 0. Let y = 26 + h. Let j be ((y - -3) + 2)/(5/60). What is the greatest common factor of j and 6? 6 Suppose -r - 1 = 0, 0 = -3*l + 4*r + 1 - 0. Let p be -4*l/(-18) + (-552)/(-54). Let s be (336/p)/4*(-5)/(-2). What is the highest common divisor of s and 7? 7 Suppose -t + 4 = 3*j, 4*t = 3*j + t + 12. Let l be (3/(-6)*j)/(3 - 0). Let g be (l + 2)/(-9 - -7) + 111. Calculate the greatest common divisor of g and 44. 22 Let p = -2 - -2. Suppose k - 15 - 6 = p. Let d = 140776 + -140608. What is the greatest common divisor of d and k? 21 Suppose 7*p - 5*p + t = 9333, 5*p + 4*t = 23337. Calculate the highest common divisor of p and 15. 15 Let y be (-180)/135*2*(-2589)/4 + 1. What is the greatest common factor of 55 and y? 11 Let n(a) = -66*a - 36. Let b be n(1). Let f = 368 + b. What is the highest common factor of 7 and f? 7 Let l = -170 + 178. Suppose 4*d = l*d - 48. Calculate the highest common divisor of 96 and d. 12 Suppose 16*n - 110 - 354 = 0. Calculate the greatest common factor of n and 2. 1 Let m be 448/4*36/21. Let x = -102 + m. Suppose 0*u + x = 2*u. What is the highest common factor of 9 and u? 9 Let g(m) = 8*m + 35. Let o be g(-4). Suppose 4*i = -3*p + 170, o*p - 188 = -3*i - 23. What is the highest common factor of p and 25? 25 Suppose -11*a + 25*a = -11*a + 68175. What is the highest common factor of a and 404? 101 Suppose 33 + 15 = 4*r. Suppose -r*c = 65 - 185. Let x(p) = 19*p + 1. Let g be x(1). What is the greatest common divisor of g and c? 10 Let j = -7964 + 7977. Calculate the greatest common factor of 871 and j. 13 Suppose 4*q - 4*a = 196, -3*q + a + 144 = -3*a. What is the highest common divisor of 3172 and q? 52 Let q be 6*(2 + 7)*(-6525)/(-27). Let x be ((-3)/(-9))/((4 - -2)/q). Calculate the highest common divisor of 25 and x. 25 Suppose 283 + 275 = 9*f. Suppose n - 8 = 2*i + 15, -2*i - f = -4*n. Calculate the greatest common divisor of n and 169. 13 Let v be 2*2/(-10)*-20. Let c = -1007 + 1003. Let z = c + v. What is the highest common divisor of z and 44? 4 Let g be (-252)/(-16) + 2/8. Let m = 157 + -142. Let u be m/(-9) - (-101)/3. What is the highest common factor of g and u? 16 Let x = -12401 - -12414. Let b(n) = 6*n + 3. Let v be b(6). Calculate the highest common divisor of v and x. 13 Let c = 144 + 26. Suppose -35*l - 918 = -26*l. Let s = l + c. What is the greatest common factor of s and 4? 4 Suppose -3*a = -z + a - 16, -4*z + 2*a = 22. Let l(j) = -9*j - 14. Let d be l(z). Suppose 286 = 14*k + 132. What is the greatest common divisor of d and k? 11 Let p = -8157 + 8272. Let w = 45 - 22. Suppose 0*t = t - w. Calculate the highest common factor of p and t. 23 Let k be -3 - (4/(-8))/((-1)/(-6)). Suppose k = -4*g + 5*m - 13, m + 1 = -5*g + 4*g. Let x = 11 - g. Calculate the greatest common divisor of 26 and x. 13 Let a(x) be the second derivative of 1/6*x**3 + 0 + 7/2*x**2 + 27*x. Let n be a(17). Calculate the greatest common divisor of n and 96. 24 Let z = 33 - 29. Suppose 0*h + 6 = -3*h + 3*r, 5*r = z*h + 13. Suppose 0 = -4*c + c - p + 67, -c - h*p = -9. What is the highest common divisor of 168 and c? 24 Let s be 32/(-80) + 62/5. Let b be ((-3 - -2) + 3 - -78)/1. What is the highest common divisor of b and s? 4 Let w(f) = -15*f + 831. Let j be w(-3). Calculate the highest common factor of j and 36. 12 Let q = -24 + 57. Let p = q - 36. Let r = 26 + p. What is the highest common divisor of 92 and r? 23 Suppose -42*r + 7200 = -12*r. Let c = r + -180. Suppose -9 = -2*k + 3. What is the highest common factor of k and c? 6 Let d = 1418 + -1171. What is the greatest common factor of d and 91? 13 Let m(j) = j**3 - 22*j**2 + 40*j + 2. Let z be m(20). Suppose z*n = -2*y + 280, -n - y = -4*n + 404. What is the greatest common factor of n and 34? 34 Suppose 0 = -195*b + 35038 + 47837. What is the highest common factor of b and 2193? 17 Let v = 883 + -561. Let i = -280 + v. Let j = -9 - -72. What is the greatest common divisor of j and i? 21 Let s = 7 - -51. Suppose -2*i
{ "pile_set_name": "DM Mathematics" }
**2 - 35*a - 10. Let i(s) = b*g(s) - 2*z(s). Give i(-7). -2 Let q(j) be the third derivative of j**4/12 - 14*j**3/3 - 383*j**2. Determine q(14). 0 Let o(y) = 2 + 13*y + 82*y - 92*y. Let c be (6/4)/(2/(-4)). Give o(c). -7 Suppose 3*t - 27 = 2*h, 0 = -5*t + 5*h + 19 + 31. Let o(d) = 5*d - 1. What is o(t)? 34 Let n(f) = 39 - 9*f**2 - 43 + f**3 + 14*f**2 - 2*f**3 + 18*f + 12*f**2. What is n(18)? -4 Let c(k) = -6*k**3 - k. Let b(z) = z**3 + 22*z**2 - 49*z - 25. Let y be b(-24). Calculate c(y). 7 Let c(f) = -3*f + 9 + 4 + 2*f + 0*f - 17. Give c(0). -4 Let t(x) = -x**3 + 17*x**2 + 12*x - 11. Let p(l) = 3*l**3 - 35*l**2 - 24*l + 22. Let d(k) = 2*p(k) + 5*t(k). Determine d(-14). 17 Let i(f) = -f**2 + 4*f + 4. Let q = 257 - 252. What is i(q)? -1 Let b(p) be the third derivative of 0 + 0*p**4 + 0*p - 4*p**2 + 1/6*p**3 - 1/30*p**5 + 1/120*p**6. Let h = 4 + -5. Calculate b(h). -2 Suppose 4*q + d - 97 = 0, d = 2*d - 1. Suppose -q = -3*v - v. Let z(i) = -i**3 + 7*i**2 - 8*i + 8. Give z(v). -4 Let m(k) be the second derivative of k**3/6 + k**2 - k. Let z be m(4). Let a(v) = 12*v - 8. Let c(d) = -7*d + 4. Let g(n) = 3*a(n) + 5*c(n). Give g(z). 2 Let l = 195 - 196. Let r(k) = -5*k**3 + k. Calculate r(l). 4 Let n(z) = -z**3 + 4*z**2 - 2*z - 2. Let k = 105 - 102. Calculate n(k). 1 Let q(o) be the second derivative of o**4/12 - o**3/6 + o**2 - 652*o. Let c(w) = 0 - 6*w**2 - 9 + 2*w - 4*w - w**3. Let m be c(-6). Calculate q(m). 8 Let z(s) = -s**2 - 6*s + 4. Let t be z(-6). Let v(p) = -t*p + 0*p + 2*p - p - p**2. What is v(-3)? 0 Let r(j) be the third derivative of j**5/60 + j**4/4 + j**3/2 + 9*j**2 - 2. What is r(-2)? -5 Let d(b) = -7*b**2 + 10*b - 1. Let a(j) = 6*j**2 - 9*j + 1. Let c(n) = 6*a(n) + 5*d(n). What is c(5)? 6 Let i be 3/(-15) + 279/45. Let z(l) be the third derivative of -l**5/120 - l**4/24 + l**3/6 - 2*l**2. Let d(x) be the first derivative of z(x). Determine d(i). -7 Let o(f) = 5*f - 171. Let x be o(35). Let c(k) = -2*k + 3. Give c(x). -5 Let w be 1 + -6 + -1 + 2. Let n be ((w/(-1))/(-2))/(-1). Let y(p) = -p**3 + 1 - 881*p + 445*p + 2*p**2 + 437*p. Determine y(n). 3 Let b(r) = 2*r + 8. Let y(t) = -4*t - 14. Let u(g) = -10*b(g) - 6*y(g). Let n = 0 - 3. Give u(n). -8 Let m be 96/(-36)*3/2. Let p(f) = f**2 + 8*f + 11. Determine p(m). -5 Let w(z) = 19*z - 12. Let i(k) = -2*k + 3. Let v(a) = -5*i(a) - w(a). What is v(-1)? 6 Let p be 2*6/(-4)*-1. Suppose 3*f = 4*a + 20, 7*f + 5*a - 6 = p*f. Let k(i) be the second derivative of -i**3/6 + i**2 - 2*i. What is k(f)? -2 Let b(d) = d**3 - d**2 + 4. Let f = 41 + -40. Let m(j) = -5*j + 5. Let o be m(f). Calculate b(o). 4 Let k(q) = -q. Let w(y) = y**2 + 2*y - 6. Let s(x) = -4*k(x) - w(x). Let m(u) = u**2 - 3*u - 6. Let j(n) = -6*m(n) - 7*s(n). Calculate j(-5). -1 Let f(l) = l + 4. Suppose 0 = 4*r + 429 - 457. Give f(r). 11 Let o be ((-24)/(-10))/((-32)/80) - -3. Let p(u) = -2*u**2 - 2*u - 4. Let s(v) = v**2 + v + 1. Let c(m) = -p(m) - 3*s(m). Calculate c(o). -5 Let v(m) = m**2 - 4. Let i be v(-3). Suppose -i = 2*b + 5. Let l(n) = 2*n. Calculate l(b). -10 Let o = -1673 - -1679. Let b(n) = 7*n**3 - 7*n**2 + 15*n. Let f(r) = -15*r**3 + 14*r**2 - 31*r - 1. Let k(z) = -13*b(z) - 6*f(z). Determine k(o). -12 Let j be ((0 - 10) + 3)*1. Let y be (-540)/(-63) - (-4)/j. Suppose q - i - y + 1 = 0, -3*q + 4*i + 26 = 0. Let w(k) = -5*k. Calculate w(q). -10 Let v(h) = -h + 7. Let p(x) = -x**2 + 11*x - 24. Let q be p(8). Let b be (-1 + 0)*(q/2 - 0). Determine v(b). 7 Let x(l) = -l**3 + 7*l**2 - 9*l + 24. Let d be x(6). Let c(b) = -3*b + 1. Calculate c(d). -17 Let n(p) = 4*p**2 + 3*p + 24. Let j(q) = -3*q**2 - 2*q - 23. Let w(i) = 3*j(i) + 2*n(i). Suppose -5*m = 2*m - 3*m. Give w(m). -21 Let b(u) = -u + 1. Let h(m) = -m**2 + 6*m - 6. Let n be h(6). Let p be (2/n)/(3/(-18)). Suppose 0 = -g + 5, -2*a = p*g + 11 - 25. Give b(a). -1 Let r(q) = 2*q + 8. Suppose 4*o + 3*z + 5 = -44, -2*z - 6 = 0. Determine r(o). -12 Let i(y) = -6 - 4*y**2 - y**2 + 131*y - 125*y - y**3. Suppose 2*m + 4*a = -2*m + 24, 3*m - 10 = -a. Suppose -m*h - 3 = -4*w + w, -4*w - 12 = 0. Give i(h). -6 Let o(s) = -s**2 + 7*s + 12. Suppose -72 = -17*u + 9*u. What is o(u)? -6 Let i(p) = 29*p**2 - p + 1. Let a(t) = -4*t**2 + 173*t - 42. Let f be a(43). Give i(f). 29 Let z(l) = -l**2 + l - 13. Suppose -x - b + 15 - 18 = 0, 0 = 4*b + 12. Give z(x). -13 Suppose 13 = 3*d - 5. Let m(u) = -9 + 5 + d + u. Determine m(-4). -2 Let u(p) = -p**3 - 4*p**2 - 3*p + 1. Let w be 12 + 1 - 4/2. Let c = -9 + w. Suppose -2*l + 2*v = 10, 5*l + c + 7 = -3*v. What is u(l)? 1 Let g(c) be the second derivative of -c**8/6720 - c**7/420 + c**6/360 - c**5/30 - 7*c**4/4 - 19*c. Let w(j) be the third derivative of g(j). What is w(-6)? -16 Let q(m) = 229774*m + 6 + 0 - 5 - 229773*m + 0. Let l be 6 - 4/((-2)/1). Suppose r + l = -r. Determine q(r). -3 Let k(z) be the second derivative of -z**5/20 + 2*z**4/3 - 2*z**3/3 - 2*z**2 + z. Let q = -1002 - -1009. Calculate k(q). 17 Let k(v) = -5*v**2 + 4*v - 14. Let w(q) = -22*q**2 + 16*q - 62. Let d(x) = 9*k(x) - 2*w(x). Calculate d(3). 1 Suppose -19 = -3*m + 23. Let q be 68/7 - m/(-49). Suppose 4*n + 10 = -q. Let c(p) = -p**3 - 6*p**2 - 3*p + 7. Determine c(n). -3 Let i(u) = -u + 6. Let g(w) = 2*w - 11. Let o(s) = 5*s - 46. Let h be o(8). Let q(r) = h*g(r) - 11*i(r). Give q(-5). 5 Let b(u) = 4*u**2 - 13*u**2 - 2 - 3*u**2 + 6*u**2 - 10*u - u**3 - 2*u**2. What is b(-7)? 19 Suppose -x = 3*x. Suppose -2*z + 2 = -l, -2*l + x*z = 5*z - 14. Let s(a) = 2*a**3 - a - 2. Let y(q) = q**2 - q. Let u(j) = -s(j) + 4*y(j). Give u(l). -4 Let m(u) = u**3 - 4*u**2 + 4*u - 1. Let b(l) = -l**2 - 7*l - 9. Let t be (-1 + (-11)/(-3))/(8/(-12)). Let p be b(t). Calculate m(p). 2 Let y(j) be the first derivative of -5*j**3/3 + j + 362. What is y(-1)? -4 Let s(g) be the second derivative of 7/20*g**5 + 1/12*g**4 + 5*g - 1/2*g**2 - 1/6*g**3 + 1. Suppose 3*w + 0 = -3. What is s(w)? -6 Let b(t) = -t - 11. Let w be 1*2/10 - 196/(-70). Suppose -x + w*x + 37 = -3*j, 4*x + 11 = j. Give b(j). -2 Let t(n) = -2*n + 3. Let c be (11/5 + -3)/((-2)/55). Let o = c - 18. Determine t(o). -5 Let p be 7/(-5) - 54/(-135). Let u(s) = -6*s**2 + 2*s - 4*s + 1 + 3*s. Determine u(p). -6 Let w(r) = -10*r - 62. Let c(z) = 3*z + 21. Let j(f) = 7*c(f) + 2*w(f). Give j(-13). 10 Let i(w) = -7*w**2 - 1. Let h(o) = 10*o**2 + 0 + 2 + 9*o - 6*o**2 + 6*o**2 + o**3. Let x be h(-9). Suppose -6*a - 4 = -x*a. Give i(a). -8 Let r(k) = -k**2 + 3*k + 3. Let d be r(3). Let z(h) = 2*h - 7*h + 4 + 11*h**2 - h**d - h - 5*h**2. Determine z(5). -1 Let m be ((-2)/3)/2*-9. Suppose -m = y - 5. Let c(l) = 2*l + 2*l - 3*l - 6*l. Calculate c(y). -10 Suppose -5*m - 21 = 4*p, m + p + 4 = -1. Let n(b) = -8*b**3 - b**2 + 1. What is n(m)? 8 Let p = 63 + -73. Let k(b) = -b**2 - 5*b + 11. Calculate k(p). -39 Let n(l) = 2*l**2 - 22*l - 5. Suppose -4*v - 5 + 49 = 0. Give n(v). -5 Let x = 39 - 79. Let v = x - -35. Let b(p) = p - 3. Let j(l) = -l + 4. Let u(h) = 7*b(h) + 6*j(h). Determine u(v). -2 Let c(z) = z - 5. Let h be c(7). Let v(x) = -4*x - 5*x**2 + 2*x**2 + 4*x**h. Suppose 28*i = 30*i - 4. Calculate v(i). -4 Let z(d) = d + 5. Let c(o) = 6*o**2 - 2*o. Let u be c(1). Give z(u). 9 Let u(r) = -32*r + 2. Let f(k) = 15*k - 1. Let s(l) = -7*f(l) - 3*u(l). What is s(3)? -26 Let n(v) be the first derivative of -15 + 1/2*v**2 - 4*v. Determine n(-3). -7 Let b(j) = -6*j**2 - 7*j - 10. Let v(t) = 5*t**2 + 6*t + 10. Let q(y) = 6*b(y) + 7*v(y). Give q(7). -39 Let h(d) = -1568 + 1572 + 2*d - 3*d. Determine h(6). -2 Suppose 2 = 2*v - 0*v. Let a(n) = -6*n**3 + 26*n**2 + 10*n + 7. Let u(h) = -6*h**3 + 30*h**2 + 12*h + 8. Let k(d) = -7*a(d) + 6*u(d). Calculate k(v). 5 Let q be 2*-2 - (-77 - -80). Let s(c) = -c**3 - 8*c**2 - 3*c + 8. What is s(q)? -20 Suppose 2 = -2*u + 3*r, 4*r - 22 = 3*u - 18. Let j(c) be the first derivative of -5*c + 5/2*c**2 + 1/3*c**3 - 1. Determine j(u). -9 Let r(b) = 3*b**2 + 26*b + 19. Let l be r(-8). Suppose -3 = -2*z + 1. Let v be 0/(0 + (z - l)). Let f(d) = -d**2 - d - 3. Calculate f(v). -3 Suppose -5 = 24*c + 19. Let g(t) = -2*t**2 - t - 1. Determine g(c). -2 Suppose -2*d = 5*z - 34, 3*d + 3 = -4*z + 26. Let t(h) = 0 + h**3 - 7 - 4 - 8*h**2. Determine t(z). -11 Let y(b) = -b - 5. Let n = 24 + -28. Give y(n). -1 Suppose -4*f + 20
{ "pile_set_name": "DM Mathematics" }
mmon divisor of m and l. 7 Suppose 0 = -17*l + 177 + 163. Calculate the greatest common factor of l and 460. 20 Let c(d) = -130*d - 3. Let a be c(-1). Let r = a - 7. Calculate the greatest common factor of r and 15. 15 Suppose -3*z - 56 = 34. Suppose -m + 35 = 4*u, -2*u + 137 = 4*m - 59. Let t = z + m. What is the highest common divisor of t and 231? 21 Let h(s) = 94*s**2 + s - 177*s**2 + 89*s**2 - 2. Let p be h(-4). Calculate the highest common divisor of p and 20. 10 Let k(i) = -i - 1. Let a(o) = 9*o + 22. Let t(d) = -a(d) - 4*k(d). Let h be t(8). Let v = h - -83. What is the highest common divisor of 200 and v? 25 Let x(l) = -9*l - 3*l - 4 + 6*l. Let o be x(-2). Suppose -2*i - 144 = -o*i. Calculate the greatest common factor of 16 and i. 8 Suppose -z = p - 0*p - 23, 2*p = -5*z + 46. Let t = -17 + p. Let l(o) = -o**2 + 16*o - 7. Let x be l(11). Calculate the highest common divisor of x and t. 6 Suppose 0 = a - 3*q - 10 - 3, -3*a - q = -29. Suppose -a*r = -4*r - 2376. Calculate the greatest common factor of r and 36. 36 Suppose 0 = -5*m - 4*v + 4628 + 381, -5*v = -5*m + 5000. What is the greatest common factor of m and 154? 77 Let u = 15 - 9. Let m = -1 + u. Suppose 0 = -4*v - 16, -5*v = -2*t - 3 + 25. Calculate the greatest common divisor of m and t. 1 Suppose -4*x + x + 4*b = -74, -x + b + 23 = 0. Let f be 2/2 + 0 - -2. Suppose -f*j = -0*j - 27. What is the highest common factor of x and j? 9 Let b(r) be the third derivative of 1/60*r**5 + 0*r - 7/6*r**3 + 1/12*r**4 + 0 - 5*r**2. Let p be b(7). What is the highest common divisor of p and 8? 8 Let u be 2/1 - (20 + 1). Let w = 49 + u. What is the greatest common factor of 90 and w? 30 Suppose -2*w - 4*x + 6 = -8, 5*x - 10 = -w. Suppose 3*h - 2 = h + w*c, h - 2*c - 2 = 0. Calculate the greatest common divisor of 10 and h. 2 Suppose 0 = h - 4, 2*l - 18 = -2*h - 0. Let u(n) = 26*n + 14. Let q be u(l). What is the highest common factor of 12 and q? 12 Let m(z) = -z**2 - 26*z - 31. Let s be m(-23). What is the greatest common factor of 95 and s? 19 Let f be 2 + 0*2/(-6). Suppose 13*b = 15*b - 34. Let a = b + -16. What is the highest common factor of a and f? 1 Suppose -5*z + 4*h + 110 = 0, 3*z = 10*h - 7*h + 66. Calculate the highest common divisor of z and 22. 22 Let h(c) = c**2 - 14*c - 22. Let f be h(16). What is the greatest common factor of 9 and f? 1 Suppose 124 = 5*k - 76. Suppose 0 = 3*m - 0*m - 24. What is the greatest common divisor of k and m? 8 Let m = -1245 - -1488. What is the highest common factor of 135 and m? 27 Let f be 1/(4/10)*-2. Let r(b) = -6*b - 13. Let a be r(f). Calculate the greatest common divisor of a and 85. 17 Let z(r) = -12*r - 252. Let d be z(-22). Calculate the highest common divisor of 28 and d. 4 Let c be (-8)/12*(-4 - 146)/5. What is the highest common divisor of c and 12? 4 Suppose k = 3*k. Suppose -h + 4*q + 125 = 46, k = 4*h - q - 271. Let x = h - 39. What is the highest common divisor of 7 and x? 7 Let v = 10 - 9. Suppose -5*m + 36 = v. Let i = m - -2. What is the greatest common factor of 9 and i? 9 Let p be -2*2 - 6/(-4)*274. What is the greatest common divisor of p and 74? 37 Let h be 3*(-4 + 48/9). Suppose 0 = 5*t - j - 23, -h*t = j - 3*j - 22. What is the highest common divisor of t and 28? 4 Let p(i) = -80*i + 1. Let u be p(-2). Let d = 70 - 72. Let q be (-1)/d - ((-175)/10 + -5). Calculate the highest common factor of q and u. 23 Suppose 8*i - 8 = -0. Suppose 5*h = i + 239. Let d = -5 - -11. What is the greatest common divisor of h and d? 6 Suppose -5*v = -2*p, -11 = -3*p - v + 6. Suppose 0 = 3*c - 15, -p*c - 39 = -a - 3*a. What is the greatest common factor of a and 192? 16 Let l(s) = s**2 - 4*s + 3. Let u be l(4). Let i be 5745/40 - u/(-8). What is the greatest common factor of 16 and i? 16 Suppose -7*c = -113 + 36. Let y be (-256)/(-6) - 12/(-9). What is the greatest common divisor of c and y? 11 Let d(t) be the third derivative of t**5/30 + t**4/12 - 13*t**3/6 - 13*t**2. Let z be d(-4). What is the highest common factor of 88 and z? 11 Suppose 0 = -n + 5*n - 60. Suppose 5*m = n + 10. Let z be 381/12 - m/(-20). Calculate the highest common divisor of z and 8. 8 Let g(v) = -v**2 + 38*v + 87. Let n be g(39). What is the greatest common divisor of 272 and n? 16 Suppose 171*h + 546 = 184*h. What is the greatest common factor of h and 30? 6 Suppose -4*l + 2*c = -l - 20, -16 = -5*l - c. Let h be 9/2 - l/8. Suppose h*x + 26 - 82 = 0. Calculate the greatest common divisor of 56 and x. 14 Let h be -2 + 4 + -42*1. Let l = h - -55. Calculate the greatest common factor of 5 and l. 5 Let x = -2 + 14. Suppose -h = h - x. Suppose -2*r = 1 - 5. Calculate the greatest common divisor of h and r. 2 Let t = 180 + -159. Calculate the highest common factor of t and 14. 7 Suppose -83 - 70 = -a. What is the highest common divisor of a and 357? 51 Suppose -5*a + 7 = -8. Let n = a + 3. Suppose -x = -n*x + 15. What is the highest common divisor of x and 33? 3 Suppose -p - 3*p - 4*t = -31432, 0 = p + 4*t - 7861. Let v = 13295 - p. Let r be 6/(-39) - v/(-26). Calculate the greatest common divisor of r and 19. 19 Suppose -n + 2*y = -93, 2*n + 4*y - 6*y - 192 = 0. Calculate the highest common divisor of n and 352. 11 Let s(m) = m + 176. Suppose 0*c = 5*c + 2*v - 6, -4*c = -3*v + 9. Let a be s(c). Calculate the greatest common divisor of 16 and a. 16 Suppose 0 = 3*q + 5*p - 105, -10 = -4*q + 3*p + 101. What is the greatest common divisor of q and 890? 10 Suppose 3*k = -2*r + 50, 15 = 8*k - 7*k - r. Calculate the greatest common divisor of k and 40. 8 Let w = 583 - 490. Calculate the highest common divisor of 713 and w. 31 Suppose -3*y = 3*k - 78, -2*k + 50 = -k - 5*y. Suppose k = -3*c + 72. Let r(i) = 36*i**2 - 1. Let b be r(1). Calculate the greatest common divisor of b and c. 7 Let d(c) = -201*c**2 + 0*c + 20*c + 27 + 202*c**2. Let w be d(-19). What is the highest common factor of 48 and w? 8 Let f be ((-5)/((-50)/168))/(2/5). Calculate the greatest common divisor of f and 8. 2 Suppose -3*r = 2*r - 2*r. Suppose 0 = -2*a + 5*v + 66, r = a - v - 31 + 4. What is the greatest common factor of a and 161? 23 Suppose 4 = r - 0. Let s be ((-1)/(1/(-3)))/(24/16). Suppose -3*d = 3*b - 39, 4*b + r - s = 2*d. Calculate the greatest common divisor of d and 45. 9 Let o(u) = 321*u**2 - 5*u + 8. Let k be o(1). Calculate the greatest common factor of 36 and k. 36 Let p(q) = -q**2 + 2*q - 1. Let f be p(1). Let c = 17 - 0. Let k = c - f. What is the highest common divisor of 17 and k? 17 Let g be 6 + 7 + -9 + 1. Calculate the greatest common factor of g and 4. 1 Let c(r) = r**2 - r + 4. Let s be c(0). Let i be (15/9)/(s/36). Calculate the greatest common divisor of 30 and i. 15 Let d be 84/12 - -12 - (-3 + -1). What is the greatest common divisor of d and 644? 23 Suppose 7*p - 28 = 2*p - m, -32 = -4*p - 4*m. Suppose c - 32 = -3*c + 5*k, -3*c + 24 = p*k. Calculate the highest common factor of 56 and c. 8 Suppose -2*l + 5*n = 23, n = -n + 6. Let a be (6/l)/((-3)/(-8)). Let t(p) = -12*p - 6. Let g be t(a). What is the highest common divisor of g and 6? 6 Let l(j) = -26*j + 14. Let x be l(19). Let g(k) = k**2 - 4*k + 4. Let h be g(4). Let q be 1/((-2)/x*h). What is the greatest common divisor of 12 and q? 12 Let d be 33/2 + (-1)/(-2). Suppose -g + 34 = 4*w, 5*w - 4*g = 1 + 52. Suppose -6*r - 306 = -w*r. Calculate the greatest common factor of r and d. 17 Let z(l) = -4*l - 62. Let h be z(-18). Calculate the highest common factor of 25 and h. 5 Let b = -58 + 53. Let j be (115/5 - b) + 2. Calculate the greatest common divisor of j and 15. 15 Let y(p) = -p**3 - 9*p**2 - p - 12. Let c = 134 + -144. Let x be y(c). What is the greatest common factor of 14 and x? 14 Let m(t) = -t + 4. Let r be (-11)/(-1 - -2 - 0). Let a be m(r). Suppose 5*d - 448 = 2*n + 231, 395 = 3*d + 5*n. What is the highest common divisor of d and a? 15 Let j = -705 - -820. Suppose 0 = -l + 14 + 9. What is the greatest common factor of l and j? 23 Let t(d) = -7*d**3 - 2*d**2 - d - 1. Let r be t(-2). Let k = -21 + r. What is the highest common divisor of 224 and k? 28 Suppose 5*r - c - 36 = 0, 4*c + 48 = 315*r - 311*r. Let d be (1/3)/((-3)/(-27)). What is the greatest common divisor of r and d? 3 Let u(g) = g**3 + 6*g**2 - 15*g + 18
{ "pile_set_name": "DM Mathematics" }
92*u**3 + 858998*u. 92*u**3 Collect the terms in -20*i - 4376402 + 4376402. -20*i Collect the terms in 1153*a**3 + 1113*a**3 - 2258*a**3. 8*a**3 Collect the terms in -112*f**3 + 44*f**3 + 16*f**3 + 12*f**3. -40*f**3 Collect the terms in y**2 + 44*y + 51*y - 8*y**2 - 88*y. -7*y**2 + 7*y Collect the terms in 14*i**2 + 104*i**2 - 7*i**2 + 38*i**2 + i**2. 150*i**2 Collect the terms in 4390*f - 2212*f - 2163*f. 15*f Collect the terms in 1383727 - 7*c**3 - 1383727. -7*c**3 Collect the terms in 39*c**2 + 0*c + 35*c**2 + 36*c**3 + 0*c - 43*c**3. -7*c**3 + 74*c**2 Collect the terms in -170 - 1386*k + 87 + 83. -1386*k Collect the terms in -20*c**3 - 17*c**3 + 78*c**3 - 18*c**3 - 15*c**3 - 5*c**3. 3*c**3 Collect the terms in 2 - 44 - 152 + 35*i - 16*i. 19*i - 194 Collect the terms in -6142*z + 12284*z - 6174*z. -32*z Collect the terms in -191321*c + 191321*c + 193*c**2 - 194*c**2. -c**2 Collect the terms in 4*u - 32*u - 13*u**3 + 35*u - 7*u. -13*u**3 Collect the terms in -2979*a**2 - 2997*a**2 - 2981*a**2 + 11918*a**2 - 2959*a**2. 2*a**2 Collect the terms in 7*t + 6*t - 13*t - 5483*t**2. -5483*t**2 Collect the terms in -160*k + 160*k + 1714*k**2. 1714*k**2 Collect the terms in -146*v**2 + 318*v**2 + 11 - 11 - 150*v**2. 22*v**2 Collect the terms in -304 - 4*o + 2*o + 159 + 184. -2*o + 39 Collect the terms in -q**2 + 36840 + 36839 - 73679. -q**2 Collect the terms in 1 + 134*l**3 - 1 - 52*l**3 - 93*l**3. -11*l**3 Collect the terms in -364*x + 218*x + 126*x. -20*x Collect the terms in 1345 - 339 + 16*l**2 - 340 - 336 - 330. 16*l**2 Collect the terms in 49*s - 2*s**3 - 49*s - 1984*s**2. -2*s**3 - 1984*s**2 Collect the terms in -7*h**2 + 0*h**2 - 7*h**2 + 10*h**2 - 19*h**2. -23*h**2 Collect the terms in -37 - 12*j**2 + 7 - 10 - j. -12*j**2 - j - 40 Collect the terms in -4*p - 2 - 26 - 37 - 32*p. -36*p - 65 Collect the terms in 935052 - 3*f - 935052. -3*f Collect the terms in 294*r - 296*r - 6669 + 6715. -2*r + 46 Collect the terms in 3482*y - y**2 - 72*y**3 + y**2 - 3485*y. -72*y**3 - 3*y Collect the terms in 8*l**3 + 18*l**3 - 33*l**3 - 99*l**3. -106*l**3 Collect the terms in -19*n**2 - 5 - 17*n**2 + 6*n**2 - 3*n. -30*n**2 - 3*n - 5 Collect the terms in -147*o**2 + 3*o**3 + 55*o**2 + 42*o**2 + 50*o**2. 3*o**3 Collect the terms in 2*j**3 - 5*j**3 + 9*j**3 + 10*j**3 + 4*j**3. 20*j**3 Collect the terms in -49 - 5*x - x + 5*x. -x - 49 Collect the terms in 4 - 2 + 4 - 4 + 2504*k. 2504*k + 2 Collect the terms in 2*h - 824*h**2 + 241*h**2 - 4*h. -583*h**2 - 2*h Collect the terms in 272*i - 119*i - 65*i - 88*i - 2*i**3. -2*i**3 Collect the terms in 1043 - 336 - 5*g**2 - 345 - 362. -5*g**2 Collect the terms in 362*z**2 - 183*z**2 - 179*z**2 - 46*z**3. -46*z**3 Collect the terms in -3*w**2 + 3*w**2 + 2*w**3 - w**3 - 3257770*w + 3257770*w. w**3 Collect the terms in -138 - 3109*w + 149*w + 138. -2960*w Collect the terms in 655*k**3 - 28 - 38*k**3 + 224*k**3 + 30. 841*k**3 + 2 Collect the terms in -390*m**2 + 201*m**2 + 208*m**2. 19*m**2 Collect the terms in 160*f - 8 + 570*f + 8. 730*f Collect the terms in 9*x - 2046*x**2 - 17*x + 6*x. -2046*x**2 - 2*x Collect the terms in -66 + 66 - 1739*t**2. -1739*t**2 Collect the terms in 75*a**3 + 18 - 11 + 74*a**3 - 140*a**3 - 7. 9*a**3 Collect the terms in 1 + 3 - 3*i + 4*i - 6*i + 2*i. -3*i + 4 Collect the terms in 3112 - 16*l**3 + 3116 - 6228. -16*l**3 Collect the terms in -3*c**3 + 2262*c**2 + 2495*c**2 - 6998*c**2 + 2241*c**2. -3*c**3 Collect the terms in -1145*l + 585*l + 564*l. 4*l Collect the terms in -f**2 - 804*f**3 - 2*f**2 + f**2 + 823*f**3. 19*f**3 - 2*f**2 Collect the terms in -542*p + 419*p + 2831*p. 2708*p Collect the terms in 7*f + 8*f - 11*f**2 + 22*f - 37*f. -11*f**2 Collect the terms in -323*j**3 + 582*j**3 - 336*j**3. -77*j**3 Collect the terms in 3*h**2 + 33240 - 33240 + 3*h - 3*h. 3*h**2 Collect the terms in 12*i**2 + 9*i**2 + 22 - 56*i**2 + 6*i**2 + 30*i**2. i**2 + 22 Collect the terms in 39*p**2 - 74*p**2 - 108*p**2 + 2*p**2. -141*p**2 Collect the terms in 101*f**3 - f**2 + 5*f**2 + 9 - f**2 - 9. 101*f**3 + 3*f**2 Collect the terms in 2*j**2 + 1105 + j**2 - 2*j**2 - 1178. j**2 - 73 Collect the terms in -2152*z**3 + 4199*z**3 - 2079*z**3. -32*z**3 Collect the terms in -1 - 35*h - 38*h + 98*h - 29*h. -4*h - 1 Collect the terms in 253 - 186*m - 95 - 58 - 100. -186*m Collect the terms in -16 - 28*q**3 - 19634*q + 19634*q. -28*q**3 - 16 Collect the terms in 2*x - 167 + 57 + 64 + 66. 2*x + 20 Collect the terms in -183*t**3 + 541*t**3 - 387*t**3. -29*t**3 Collect the terms in 84*j**3 - 246*j**3 + 78*j**3 + 83*j**3. -j**3 Collect the terms in 8 + 6*z + 0 + 4*z - 3*z - 6. 7*z + 2 Collect the terms in -11995103*p + 5*p**2 + 11995103*p. 5*p**2 Collect the terms in -5*p**3 - 827151896*p**2 + 827151896*p**2. -5*p**3 Collect the terms in 71*d**3 - 27234*d + 27234*d + d**2 - d**2. 71*d**3 Collect the terms in -48916*n + 24459*n + 24453*n. -4*n Collect the terms in -262*i**2 + 35*i**2 + 23*i - 18*i. -227*i**2 + 5*i Collect the terms in -48*l**3 + 90*l**3 - 534*l**3 - 137*l**3. -629*l**3 Collect the terms in -11*p + 6 - 12 + 7*p. -4*p - 6 Collect the terms in 21*t + 15*t - 7*t. 29*t Collect the terms in 3018*v + 1150*v - 4172*v. -4*v Collect the terms in -8 - 992*x + 8 + 964*x. -28*x Collect the terms in -18612 + 55831 - 18610 + 2*q - 18609. 2*q Collect the terms in 12*v - 51635*v**3 - 12*v + 51625*v**3. -10*v**3 Collect the terms in -382348*d**3 + 764706*d**3 - 382359*d**3. -d**3 Collect the terms in 4106 - 12318 + 4104 + 4108 - 8*i. -8*i Collect the terms in -19*j**2 - 12*j**2 - 17*j**2 + 97*j**2 - 33*j**2 - 14*j**2. 2*j**2 Collect the terms in -114*b + 44*b + 54*b + 82*b. 66*b Collect the terms in 320*b**2 - 188*b**2 - 134*b**2. -2*b**2 Collect the terms in 100181*c + 329*c**2 - 100181*c. 329*c**2 Collect the terms in -144652*n - 79271*n - 9443*n. -233366*n Collect the terms in 2*q**3 - 2073 + 2076 - 12*q**3. -10*q**3 + 3 Collect the terms in 30*v - 4143 - 8*v + v**2 + 6*v + 4143. v**2 + 28*v Collect the terms in -304*v**3 + 200*v**3 + 1 - 231*v**3. -335*v**3 + 1 Collect the terms in -3 + 3 + 13*l**3 - 16*l**3 + 14*l**3. 11*l**3 Collect the terms in 68*y + y**2 + 77*y + 73*y - 306*y + 88*y. y**2 Collect the terms in 0*r**2 - 374*r**3 - 2*r**2 + 124*r**3 + 2*r**2 + 258*r**3. 8*r**3 Collect the terms in -18 - 19 + 37 + 2936*c**2. 2936*c**2 Collect the terms in -104*x**2 + 5*x + 7*x - 12*x - 83*x**2. -187*x**2 Collect the terms in -29077*z + 14535*z - 52*z**2 + 1 - 8 + 14542*z. -52*z**2 - 7 Collect the terms in 13 - l**3 + 23 + 5*l**2 - 36 - 5*l**2. -l**3 Collect the terms in 7*w**2 + 3896 - 1948 - 1948. 7*w**2 Collect the terms in 4752*t - 2*t**2 - 1192*t - 1190*t - 1190*t - 1190*t. -2*t**2 - 10*t Collect the terms in -4728*l - 971 + 971. -4728*l Collect the terms in -171 - 9*v**3 + 3*v**2 - 3*v**2 + 31*v**3 + 163. 22*v**3 - 8 Collect the terms in 7*b**2 + 181*b - 148*b - 93*b + 3. 7*b**2 - 60*b + 3 Collect the terms in -25 - 107 + 81 - 2*h. -2*h - 51 Collect the terms in -13266 - 13257 - 2*y - 13251 + 39774. -2*y Collect the terms in 13 + 3*l**2 + 4 + 2 - 9 + 6. 3*l**2 + 16 Collect the terms in 32*x + 58*x + 67*x - 297*x + 64*x + 79*x. 3*x Collect the terms in 7*b**3 - 21963*b**2 + 21963*b**2. 7*b**3 Collect the terms in 271*p**2 + 3972*p**2 + 2428*p**2. 6671*p**2 Collect the terms in 2641*w**3 - 28*w - 105*w - 2645*w**3. -4*w**3 - 133*w Collect the terms in -284*i**2 + 312*i**2 - 1 - 2 + 6 - 2. 28*i**2 + 1 Collect the terms in 20641*m**3 - 6881*m**3 - 6883*m**3 - 6878*m**3. -m**3 Collect the terms in 432 - 19*q**3 - 432. -19*q**3 Collect the terms in -10*t**3 + 5*t**3 - 15*t**3 + 4*t**2 - 3*t**2. -20*t**3 + t**2 Collect the terms in -27 - 8 + 6*d + 7*d - 4*d. 9*d - 35 Collect the terms in -495 + 13*q + 495 + 21*q - 38*q. -4*q Collect the terms in -56*v**2 + 1997*v - 1997*v + 5. -56*v**2 + 5 Collect the terms in 437*m**2 + 234*m**3 - 870*m**2 + 433*m**2 + 84*m**3. 318*m**3 Collect the terms in -10*g + 55*g**2 + 2*g - 39*g**2. 16*g**2 - 8*g Collect the terms in 6 - 6 + 14*g**3 - 4*g - 4*g - 15*g**3. -g**3 - 8*g Collect the terms in -4803*m**2 - 4787*m**2 - 4795*m**2 + 14383*m**2. -2*m**2 Collect the terms in -8*n + 14336 - 14339 - 13*n. -21*n - 3 Collect the terms in 3*z**2 + 11 + 38*z**2 - 11. 41*z**2 Collect the ter
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from yppw. What is prob of picking 1 y and 2 p? 1/4 Calculate prob of picking 1 j and 1 b when two letters picked without replacement from {j: 3, x: 4, b: 2, s: 1, k: 1}. 6/55 Three letters picked without replacement from emeemmeememmmmeeeme. What is prob of picking 1 e and 2 m? 120/323 What is prob of picking 1 t, 1 f, and 1 a when three letters picked without replacement from {f: 8, t: 1, a: 1, l: 7}? 1/85 Two letters picked without replacement from tovtrtrtrttrttrt. What is prob of picking 1 r and 1 o? 1/24 Four letters picked without replacement from llnnllllnn. What is prob of picking 1 l and 3 n? 4/35 What is prob of picking 3 b when three letters picked without replacement from {s: 1, b: 11}? 3/4 Calculate prob of picking 1 v and 3 d when four letters picked without replacement from vedvveevvdde. 1/99 Three letters picked without replacement from {e: 4, h: 3}. What is prob of picking 1 e and 2 h? 12/35 Three letters picked without replacement from {k: 6, j: 3, l: 2, a: 4, u: 2, n: 1}. What is prob of picking 1 j and 2 a? 3/136 What is prob of picking 2 p and 1 s when three letters picked without replacement from {p: 2, s: 1, b: 1, z: 1}? 1/10 Three letters picked without replacement from bbsbs. What is prob of picking 3 b? 1/10 What is prob of picking 2 l when two letters picked without replacement from lzwllldh? 3/14 Calculate prob of picking 2 p and 2 u when four letters picked without replacement from {u: 4, k: 4, p: 8}. 6/65 Calculate prob of picking 2 e when two letters picked without replacement from ppeppeppepp. 3/55 What is prob of picking 1 z, 1 d, and 2 f when four letters picked without replacement from zfuuuffifudu? 2/165 Two letters picked without replacement from waaaawaawaaaaaa. Give prob of picking 1 w and 1 a. 12/35 Calculate prob of picking 1 g, 2 a, and 1 x when four letters picked without replacement from {a: 2, x: 3, g: 4}. 2/21 Three letters picked without replacement from {a: 4, u: 1, h: 5}. Give prob of picking 2 a and 1 u. 1/20 Calculate prob of picking 2 l and 1 n when three letters picked without replacement from nnnnlnnnnnlnnnlnlnnn. 8/95 What is prob of picking 1 d, 1 i, and 1 o when three letters picked without replacement from olddqlbbbbldbllid? 1/170 What is prob of picking 2 d and 1 h when three letters picked without replacement from {i: 3, l: 2, h: 1, d: 3, c: 1}? 1/40 Two letters picked without replacement from jjjeuujejejde. Give prob of picking 1 u and 1 d. 1/39 Calculate prob of picking 4 l when four letters picked without replacement from {t: 2, l: 6}. 3/14 Two letters picked without replacement from logkgxko. What is prob of picking 1 o and 1 g? 1/7 Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {z: 1, t: 1, o: 2, q: 2, s: 2, b: 1}. 1/18 Calculate prob of picking 1 y, 1 w, and 2 o when four letters picked without replacement from uuyuwywouyoy. 8/495 Four letters picked without replacement from dmbbdueeubebddebeudu. What is prob of picking 1 u, 2 e, and 1 d? 40/969 Calculate prob of picking 3 a when three letters picked without replacement from {w: 2, p: 2, h: 5, a: 4}. 2/143 Three letters picked without replacement from {y: 1, k: 1, q: 3}. Give prob of picking 1 y and 2 q. 3/10 Four letters picked without replacement from cccccncccn. Give prob of picking 2 n and 2 c. 2/15 What is prob of picking 1 l, 1 b, and 1 e when three letters picked without replacement from {e: 1, c: 4, b: 2, l: 1, o: 3}? 2/165 Three letters picked without replacement from {x: 5, o: 2, z: 5, e: 5, a: 2}. Give prob of picking 1 o, 1 z, and 1 e. 50/969 Four letters picked without replacement from {q: 2, f: 5, p: 4, s: 7}. Give prob of picking 2 q and 2 s. 7/1020 Three letters picked without replacement from {g: 7, l: 2}. What is prob of picking 3 g? 5/12 Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {i: 2, a: 1, n: 1, m: 1, h: 1, j: 1}. 1/21 Four letters picked without replacement from ewllellweeewew. Give prob of picking 1 w, 2 l, and 1 e. 144/1001 What is prob of picking 1 o, 1 t, and 1 d when three letters picked without replacement from ddodtoxtkdtokotdd? 12/85 Three letters picked without replacement from dqnppnpwwnnqnqpqnii. What is prob of picking 2 q and 1 p? 8/323 What is prob of picking 2 n when two letters picked without replacement from aaaaannbabnaabna? 1/20 Two letters picked without replacement from bnerrrecfefn. What is prob of picking 1 f and 1 n? 2/33 What is prob of picking 1 h and 1 t when two letters picked without replacement from hhkkhxkhhkhdktkxkkkk? 3/95 Calculate prob of picking 1 e and 1 m when two letters picked without replacement from ememeeemeemeee. 40/91 Three letters picked without replacement from llyil. Give prob of picking 1 i, 1 y, and 1 l. 3/10 Three letters picked without replacement from {q: 3, z: 4, s: 1, h: 5}. What is prob of picking 1 z and 2 h? 20/143 Two letters picked without replacement from cchc. Give prob of picking 1 h and 1 c. 1/2 What is prob of picking 2 j when two letters picked without replacement from ojjjojjyyjryyjyo? 7/40 Two letters picked without replacement from ddjddddd. Give prob of picking 1 j and 1 d. 1/4 What is prob of picking 2 b when two letters picked without replacement from {m: 4, l: 5, b: 3}? 1/22 Calculate prob of picking 1 j and 1 t when two letters picked without replacement from juututttttjt. 7/33 What is prob of picking 2 z when two letters picked without replacement from {z: 5, g: 1, f: 3}? 5/18 Four letters picked without replacement from mmmmccmccomom. Give prob of picking 2 m and 2 c. 126/715 Three letters picked without replacement from sqqssqssbsqssgsgssg. Give prob of picking 1 s, 1 q, and 1 b. 44/969 Three letters picked without replacement from ttttsttstttt. Give prob of picking 2 s and 1 t. 1/22 What is prob of picking 2 f when two letters picked without replacement from ffffff? 1 Calculate prob of picking 1 p, 1 s, and 1 m when three letters picked without replacement from dspmjsjsspsssdm. 4/65 Calculate prob of picking 4 i when four letters picked without replacement from {i: 9}. 1 What is prob of picking 1 k and 3 b when four letters picked without replacement from {y: 2, q: 6, k: 1, o: 4, b: 3}? 1/1820 What is prob of picking 1 f and 1 c when two letters picked without replacement from hnaqhhqaqqfafhacqqha? 1/95 Two letters picked without replacement from dddadddddddddddddd. What is prob of picking 2 d? 8/9 Calculate prob of picking 1 w and 2 s when three letters picked without replacement from swswssw. 18/35 Three letters picked without replacement from xuxyyxyxx. What is prob of picking 1 y, 1 x, and 1 u? 5/28 Calculate prob of picking 4 u when four letters picked without replacement from oououoouuouoo. 1/143 Calculate prob of picking 2 u when two letters picked without replacement from umhuhk. 1/15 Calculate prob of picking 4 q when four letters picked without replacement from {r: 5, q: 9}. 18/143 What is prob of picking 2 b and 1 n when three letters picked without replacement from {a: 2, h: 8, n: 3, b: 5, p: 1}? 10/323 Two letters picked without replacement from bpwxc. Give prob of picking 1 w and 1 p. 1/10 Two letters picked without replacement from dkldkekkwdkd. Give prob of picking 1 w and 1 l. 1/66 What is prob of picking 1 a and 1 x when two letters picked without replacement from xaa? 2/3 Calculate prob of picking 1 e and 2 b when three letters picked without replacement from bhbee. 1/5 What is prob of picking 1 q, 1 o, 1 b, and 1 y when four letters picked without replacement from qoyoqybqqqqqqyqq? 3/91 Four letters picked without replacement from ffeffffefffffffe. Give prob of picking 4 f. 11/28 Calculate prob of picking 1 x and 3 y when four letters picked without replacement from yddxdxyydd. 1/105 Three letters picked without replacement from vdtrtqtllttlqttvlllt. What is prob of picking 1 q, 1 l, and 1 v? 2/95 Calculate prob of picking 1 w and 1 j when two letters picked without replacement from gwpjj. 1/5 What is prob of picking 1 s, 1 g, and 2 z when four letters picked without replacement from usxxuzxuxgu? 0 Calculate prob of picking 2 m when two letters picked without replacement from {m: 4, g: 1, n:
{ "pile_set_name": "DM Mathematics" }
Two letters picked without replacement from ntnpntpnnppnneppnp. What is prob of sequence pt? 7/153 What is prob of sequence zy when two letters picked without replacement from dzyyzdzzzmdzzyyyydd? 7/57 Two letters picked without replacement from tlecyygtl. What is prob of sequence tl? 1/18 Three letters picked without replacement from {b: 1, m: 4, r: 6}. What is prob of sequence mbr? 4/165 Calculate prob of sequence otto when four letters picked without replacement from toboootbbobotobtooob. 3/323 Calculate prob of sequence ap when two letters picked without replacement from qoyrqopa. 1/56 Four letters picked without replacement from mmmmmbmmmmbmmmbmmbmm. Give prob of sequence mbbm. 8/323 What is prob of sequence bbbp when four letters picked without replacement from {b: 3, p: 2, s: 4}? 1/252 What is prob of sequence ojj when three letters picked without replacement from rroojojojojoojrjjrr? 49/969 Two letters picked without replacement from uujuju. What is prob of sequence uu? 2/5 Three letters picked without replacement from dbdnd. Give prob of sequence ndd. 1/10 What is prob of sequence oot when three letters picked without replacement from ooooooot? 1/8 Calculate prob of sequence ai when two letters picked without replacement from {p: 1, i: 4, a: 4, l: 1, s: 7, n: 1}. 8/153 Calculate prob of sequence zz when two letters picked without replacement from ggddgggjzgigzkzgig. 1/51 Four letters picked without replacement from {n: 7, b: 3}. Give prob of sequence bnnn. 1/8 What is prob of sequence fpp when three letters picked without replacement from {f: 1, l: 2, b: 1, j: 2, p: 4, a: 2}? 1/110 Calculate prob of sequence jw when two letters picked without replacement from {b: 3, w: 8, k: 2, j: 2, s: 4}. 8/171 Four letters picked without replacement from vvgvgg. What is prob of sequence gvgg? 1/20 Calculate prob of sequence yy when two letters picked without replacement from {m: 2, i: 10, y: 3}. 1/35 Calculate prob of sequence ylly when four letters picked without replacement from lyylyylppply. 2/99 Three letters picked without replacement from {q: 9, u: 1, o: 1, m: 1}. Give prob of sequence qqq. 21/55 What is prob of sequence cb when two letters picked without replacement from {d: 1, b: 2, t: 6, c: 3, z: 7}? 1/57 Calculate prob of sequence zllt when four letters picked without replacement from {t: 5, l: 2, q: 3, z: 3}. 1/572 Calculate prob of sequence aag when three letters picked without replacement from lggglgglaa. 1/72 What is prob of sequence tt when two letters picked without replacement from {s: 2, t: 5, u: 2, q: 3}? 5/33 Two letters picked without replacement from ueuuluuluuukkmmulkl. What is prob of sequence el? 2/171 Two letters picked without replacement from mgggmmgiygggm. What is prob of sequence ym? 1/39 Two letters picked without replacement from plsrgse. Give prob of sequence sr. 1/21 Four letters picked without replacement from {j: 3, k: 3}. Give prob of sequence jkkj. 1/10 Three letters picked without replacement from {o: 1, q: 1, a: 1, v: 2, c: 1, j: 1}. What is prob of sequence cov? 1/105 What is prob of sequence psx when three letters picked without replacement from pxxxhjhjhjpbjhxjphsj? 1/570 What is prob of sequence ve when two letters picked without replacement from cammmhvhvmhmhamveva? 2/171 What is prob of sequence cw when two letters picked without replacement from {s: 3, z: 2, r: 6, w: 4, c: 2}? 1/34 Two letters picked without replacement from {q: 2, j: 2, p: 7}. Give prob of sequence jj. 1/55 Calculate prob of sequence kfkf when four letters picked without replacement from {t: 5, k: 7, f: 7}. 49/2584 Calculate prob of sequence ie when two letters picked without replacement from egaaqtit. 1/56 Three letters picked without replacement from {s: 1, f: 2, g: 7, q: 1, j: 2, a: 4}. Give prob of sequence aqs. 1/1020 Four letters picked without replacement from azazaaaazzzzzazaaaza. What is prob of sequence azza? 22/323 Two letters picked without replacement from uduotcd. What is prob of sequence ut? 1/21 What is prob of sequence rq when two letters picked without replacement from riiiiriiiiiqiqiiq? 3/136 Four letters picked without replacement from {e: 4, d: 3}. What is prob of sequence deee? 3/35 Calculate prob of sequence vj when two letters picked without replacement from nvkjsvnsnvshjnsssh. 1/51 Four letters picked without replacement from aaaaahaappahhhh. What is prob of sequence hhph? 1/273 Four letters picked without replacement from yrrryryyrrryyyyy. What is prob of sequence ryrr? 9/208 Calculate prob of sequence kxk when three letters picked without replacement from kxxkk. 1/5 Four letters picked without replacement from eqqqieeieqoeeiqqq. What is prob of sequence iiqe? 3/680 Two letters picked without replacement from {d: 2, y: 2, q: 1, w: 1}. What is prob of sequence ww? 0 What is prob of sequence cy when two letters picked without replacement from tcicgrytgtrt? 1/66 What is prob of sequence mmm when three letters picked without replacement from wgmgwmwwmmmmggmgm? 7/85 What is prob of sequence ppl when three letters picked without replacement from {p: 2, l: 5, v: 5}? 1/132 Three letters picked without replacement from abaaaaaabaaaaaba. What is prob of sequence baa? 39/280 Calculate prob of sequence rhhh when four letters picked without replacement from hhrhhhrhhhh. 7/55 Calculate prob of sequence gckq when four letters picked without replacement from {p: 1, q: 1, c: 2, g: 5, i: 3, k: 3}. 1/1092 What is prob of sequence sszz when four letters picked without replacement from zzzzzzzzzzzzzszzszz? 1/171 What is prob of sequence huh when three letters picked without replacement from {h: 2, u: 1}? 1/3 Four letters picked without replacement from {p: 1, d: 2, z: 5, a: 3, m: 1}. Give prob of sequence zmdz. 1/297 Calculate prob of sequence sgs when three letters picked without replacement from {s: 5, g: 5, a: 8}. 25/1224 What is prob of sequence kkkk when four letters picked without replacement from dkkkkkdkkdd? 7/66 What is prob of sequence vt when two letters picked without replacement from vvtttv? 3/10 Three letters picked without replacement from hhdhhddddhdhxh. What is prob of sequence dhd? 5/52 Two letters picked without replacement from {y: 6, e: 2, k: 2, d: 1, v: 7, p: 1}. What is prob of sequence dk? 1/171 Calculate prob of sequence levc when four letters picked without replacement from ceceqslcsvlevv. 9/4004 Calculate prob of sequence zzff when four letters picked without replacement from fzwwfzww. 1/420 Three letters picked without replacement from uooororoouorooo. What is prob of sequence oou? 6/91 Four letters picked without replacement from zvzzv. What is prob of sequence vzzv? 1/10 Calculate prob of sequence dvd when three letters picked without replacement from vvvdvvvvvvvd. 1/66 What is prob of sequence ii when two letters picked without replacement from iiyiaiyyzziiizziziai? 9/38 What is prob of sequence omcd when four letters picked without replacement from wcomwld? 1/840 What is prob of sequence ilol when four letters picked without replacement from elnolenenelelonnlbi? 5/11628 What is prob of sequence eb when two letters picked without replacement from ccbnbeccu? 1/36 Two letters picked without replacement from {i: 2, s: 3, c: 1, x: 4}. What is prob of sequence xc? 2/45 Four letters picked without replacement from {m: 10, j: 3, r: 2}. What is prob of sequence jmrj? 1/273 Four letters picked without replacement from {n: 3, j: 3, d: 3, b: 1, l: 2, q: 1}. What is prob of sequence lnlq? 1/2860 Three letters picked without replacement from {b: 10}. What is prob of sequence bbb? 1 Three letters picked without replacement from {l: 2, v: 4}. Give prob of sequence lvl. 1/15 Four letters picked without replacement from igegeciihicdigg. What is prob of sequence gdih? 1/1638 Calculate prob of sequence gg when two letters picked without replacement from {g: 7, x: 6}. 7/26 Two letters picked without replacement from {l: 6, d: 13}. Give prob of sequence ll. 5/57 What is prob of sequence cc when two letters picked without replacement from {c: 9, e: 5}? 36/91 Three letters picked without replacement from {g: 1, t: 3}. Give prob of sequence gtt. 1/4 What is prob of sequence ngx when three letters picked without replac
{ "pile_set_name": "DM Mathematics" }
0 and -89/13500. 13500 Calculate the common denominator of 11/816 and 65/209168. 627504 Calculate the lowest common multiple of 9867 and 7293. 167739 Calculate the lowest common multiple of 6324 and 11832. 366792 What is the common denominator of -63/848 and 23/23494? 9961456 Calculate the common denominator of -49/6672 and -19/88404. 353616 What is the smallest common multiple of 144 and 130824? 261648 What is the least common multiple of 465770 and 3290? 3260390 What is the smallest common multiple of 513 and 178923? 1610307 Calculate the common denominator of -13/93816 and -25/41696. 375264 Calculate the lowest common multiple of 1150450 and 8650. 1150450 What is the lowest common multiple of 156884 and 112? 627536 Find the common denominator of 93/4 and -37/104308. 104308 What is the smallest common multiple of 53770 and 155933? 1559330 Calculate the common denominator of 71/336 and 7/6704. 140784 What is the common denominator of 69/4 and 61/5926? 11852 What is the common denominator of -121/1854 and 73/2163? 12978 What is the least common multiple of 13155 and 45? 39465 Calculate the smallest common multiple of 195 and 60840. 60840 What is the smallest common multiple of 44780 and 89560? 89560 What is the common denominator of -125/54 and -21/610? 16470 What is the smallest common multiple of 16214 and 4114? 275638 Calculate the smallest common multiple of 135 and 756. 3780 What is the common denominator of 77/12 and -17/31964? 95892 What is the smallest common multiple of 68134 and 6669? 23915034 Calculate the common denominator of 3/5920 and -77/23680. 23680 Find the common denominator of -17/298 and -43/1746. 260154 Calculate the least common multiple of 9715 and 2680. 77720 Calculate the lowest common multiple of 4 and 181234. 362468 What is the common denominator of -191/1140 and 59/684? 3420 Calculate the common denominator of 5/21688 and 1/410. 4446040 Find the common denominator of -25/7 and -2/24233. 169631 What is the smallest common multiple of 4284 and 96? 34272 What is the lowest common multiple of 249 and 1668? 138444 Calculate the least common multiple of 26 and 478096. 6215248 What is the common denominator of 36/30737 and 18/153685? 153685 Calculate the common denominator of 59/110 and -109/16780. 184580 Find the common denominator of -51/119260 and -28/25. 596300 What is the lowest common multiple of 25740 and 47502? 5225220 What is the common denominator of 75/92 and -67/15228? 350244 What is the lowest common multiple of 234442 and 52? 468884 Calculate the common denominator of -67/935 and 1/574090. 574090 What is the lowest common multiple of 34 and 120? 2040 Calculate the common denominator of 9/92 and -181/80178. 160356 Calculate the common denominator of -4/5 and -97/36530. 36530 What is the smallest common multiple of 6670 and 460? 13340 What is the smallest common multiple of 488880 and 756? 1466640 Find the common denominator of -95/2988 and -59/8300. 74700 Calculate the common denominator of -121/20412 and 47/301. 877716 What is the smallest common multiple of 12 and 166264? 498792 What is the least common multiple of 120 and 54078? 1081560 What is the lowest common multiple of 4437 and 5916? 17748 Calculate the lowest common multiple of 24 and 72522. 290088 Calculate the common denominator of 2/20381 and -53/101905. 101905 What is the common denominator of 20/3453 and -4/532913? 1598739 Calculate the least common multiple of 1143450 and 139755. 12577950 Calculate the common denominator of 167/84744 and 55/636. 4491432 Calculate the least common multiple of 20160 and 40. 20160 What is the common denominator of 111/56 and 13/252? 504 What is the common denominator of -92/161865 and 52/51? 2751705 Calculate the smallest common multiple of 195 and 1671228. 8356140 Find the common denominator of -13/6312 and -10/2367. 18936 Calculate the lowest common multiple of 294 and 9. 882 What is the least common multiple of 70 and 485? 6790 Calculate the common denominator of 67/788 and -103/33884. 33884 Find the common denominator of -157/157212 and -13/71460. 786060 Calculate the common denominator of 89/213504 and -61/192. 213504 What is the least common multiple of 216 and 466956? 2801736 What is the least common multiple of 2016 and 1294? 1304352 Find the common denominator of 157/150 and 31/220. 3300 Calculate the smallest common multiple of 3174 and 1334. 92046 What is the common denominator of -67/128380 and 51/154? 1412180 Calculate the lowest common multiple of 1331265 and 9. 3993795 What is the smallest common multiple of 231 and 1683? 11781 Calculate the least common multiple of 470736 and 840. 2353680 What is the least common multiple of 10 and 34178? 170890 Calculate the least common multiple of 2166 and 173850. 3303150 What is the lowest common multiple of 1897 and 1009? 1914073 Calculate the lowest common multiple of 10560 and 2183280. 8733120 Calculate the common denominator of -64/235 and -27/25. 1175 Calculate the common denominator of 77/2130 and 58/345. 48990 What is the common denominator of 28/73585 and -97/10? 147170 Calculate the common denominator of 9/7168 and -127/84. 21504 What is the common denominator of -33/2072 and -181/3108? 6216 Calculate the common denominator of -25/8906 and 81/15184. 926224 What is the lowest common multiple of 35163 and 386793? 386793 What is the common denominator of -73/198 and -17/696? 22968 Calculate the smallest common multiple of 1680 and 720930. 5767440 What is the smallest common multiple of 148552 and 5? 742760 Calculate the common denominator of -41/45 and -137/73638. 368190 Calculate the lowest common multiple of 486774 and 4. 973548 Calculate the least common multiple of 272 and 19380. 77520 Calculate the least common multiple of 10330266 and 2. 10330266 Find the common denominator of 45/5236 and 99/3332. 36652 What is the least common multiple of 681 and 8595? 1951065 Calculate the common denominator of 23/13544 and 137/20316. 40632 Find the common denominator of -10/16951 and 32/7. 118657 What is the common denominator of -55/46599 and -43/439362? 3075534 What is the common denominator of 41/116160 and 47/116160? 116160 What is the least common multiple of 1958796 and 30? 9793980 Calculate the smallest common multiple of 182 and 7336. 95368 Calculate the least common multiple of 5391 and 23960. 215640 Calculate the common denominator of -151/6174 and 73/432. 148176 Calculate the common denominator of -99/135130 and 85/12. 810780 What is the lowest common multiple of 2888 and 1356? 979032 Calculate the least common multiple of 878560 and 3040. 878560 Calculate the least common multiple of 20184 and 636. 1069752 Calculate the lowest common multiple of 3528 and 1596. 67032 What is the common denominator of -20/73437 and 74/117? 220311 Calculate the smallest common multiple of 99680 and 149520. 299040 Calculate the common denominator of 1/2934 and -61/45. 14670 What is the common denominator of -223/21840 and 31/5928? 414960 Calculate the lowest common multiple of 166816 and 102656. 1334528 Find the common denominator of -75/2 and 41/158919. 317838 Calculate the lowest common multiple of 1803 and 3005. 9015 Calculate the common denominator of 65/568 and 85/56. 3976 Find the common denominator of -27/917821 and -3/319. 10096031 Calculate the common denominator of -137/408 and -39/391. 9384 Calculate the common denominator of -191/33558 and -57/56. 134232 What is the common denominator of -97/816 and 35/816? 816 Find the common denominator of 47/38393 and -28/9. 345537 Find the common denominator of -65/38577 and 25/12859. 38577 Calculate the smallest common multiple of 15440 and 17370. 138960 What is the common denominator of 77/3996 and 15/112? 111888 What is the common denominator of 73/24 and -35/293584? 880752 Calculate the least common multiple of 8 and 2020. 4040 Calculate the least common multiple of 5150 and 81370. 406850 Calculate the least common multiple of 104416 and 104416. 104416 Calculate the common denominator of -19/3231 and 59/183. 197091 What is the lowest common multiple of 93653 and 133790? 936530 Find the common denominator of -127/700 and -121/12. 2100 Find the common denominator of -109/94336 and 43/1072. 94336 What is the smallest
{ "pile_set_name": "DM Mathematics" }
3881774? 192138*b + 69 What is the first derivative of -6270115*l**2*o - 140837867*l**2 + 7*l*o wrt o? -6270115*l**2 + 7*l Differentiate 106740869*r - 47555828 wrt r. 106740869 Find the second derivative of -7191255*g**2 + 22675*g + 7 wrt g. -14382510 What is the derivative of -f*x**3 - 423*f*x**2 + 2*f*x - 2947*f + 37755905*x**3 wrt f? -x**3 - 423*x**2 + 2*x - 2947 Find the second derivative of 22*s**5 - 38889*s**4 + s**2 - 14130*s + 80 wrt s. 440*s**3 - 466668*s**2 + 2 What is the first derivative of 10322394*d - 8583322 wrt d? 10322394 What is the derivative of 164798*p**2 + 9*p - 11050502 wrt p? 329596*p + 9 What is the third derivative of -505997160*h**3 + h**2 - 38602813? -3035982960 What is the second derivative of 238004308*a*h**2 - 99*a*h + 497973*a wrt h? 476008616*a Find the second derivative of 104750157*h**2*t**2 + 30*h**2*t + 2*h**2 - 5*h*t + h + 273*t - 11 wrt t. 209500314*h**2 Differentiate -53*n**2 + 427712*n + 64338347. -106*n + 427712 Differentiate -175985735*p*r + 137688433*r with respect to p. -175985735*r Differentiate 5155*z**4 + 11307*z**2 + 565816302 with respect to z. 20620*z**3 + 22614*z What is the third derivative of b**3*w**3 - 10*b**3*w**2 + b**3*w - 35*b**3 - 2*b**2*w**2 - 5598249*b*w**3 + 2*b*w**2 + 193*w wrt w? 6*b**3 - 33589494*b Find the third derivative of -14*v**5 - 147934*v**3 + v**2 - 5173197. -840*v**2 - 887604 Find the second derivative of 35*g*j**2*z**3 - g*j**2*z + 3*g*z**3 - 794*g*z**2 + 1608*j**2 + 2*j*z**2 + 34*z**2 wrt j. 70*g*z**3 - 2*g*z + 3216 Differentiate 622*n*v**3 - 909*n*v**2 + 2*n*v - 2591104*v**3 with respect to n. 622*v**3 - 909*v**2 + 2*v Find the first derivative of -1082521798*u**2 - 81771589. -2165043596*u What is the second derivative of -2*t**4 + 176*t**3 - 120*t**2 - 346411*t - 1? -24*t**2 + 1056*t - 240 Find the first derivative of 4016*b*v**2 - 2*b*v - b + 64*v**2 + 53*v + 1819627 wrt v. 8032*b*v - 2*b + 128*v + 53 Differentiate 192762273*b**2*u - 361191948*b**2 + 2*u**2 with respect to u. 192762273*b**2 + 4*u What is the third derivative of 327712997*l**5 + 110029140*l**2? 19662779820*l**2 Find the third derivative of 1149*b**3*q**2 + 68*b**3*q - 4*b**3 + 2195*b**2*q**2 - 2*b**2*q - b*q**2 + 26*q + 2 wrt b. 6894*q**2 + 408*q - 24 Find the third derivative of -196726620*j**6 + 868*j**2 - 48*j - 48. -23607194400*j**3 Differentiate -27721551*k**3 - 20040156 with respect to k. -83164653*k**2 Differentiate 128*m**2*s**2 + 13870328*m**2 + 10275*m*s**3 with respect to s. 256*m**2*s + 30825*m*s**2 Find the third derivative of 4*a**5 + 1056074*a**4 - 2*a**3 - 109*a**2 - 78*a - 625 wrt a. 240*a**2 + 25345776*a - 12 What is the derivative of 22968853*x**2 - 35974913? 45937706*x Differentiate -283108*n**2 + 3*n + 11000425 wrt n. -566216*n + 3 What is the third derivative of 96856900*t**3*y**6 - 5*t**3*y**2 + 13*t**2*y**2 - 2*t**2 - 3*t*y**2 + 8*t + 270*y wrt y? 11622828000*t**3*y**3 What is the second derivative of -574794614*q**2 - 95878506*q? -1149589228 Find the first derivative of 1948370*p - 21503299. 1948370 What is the second derivative of -270066*m**2*z**2 + m**2*z - 2*m**2 - 2*m*z - 2*m - 15*z**2 + 5127*z - 504 wrt z? -540132*m**2 - 30 Find the third derivative of -5401250*r**4 - 4797357*r**2 wrt r. -129630000*r What is the second derivative of -9743997*w**5 - 548132*w - 5 wrt w? -194879940*w**3 Find the third derivative of -219489962*u**4 + 423957680*u**2 wrt u. -5267759088*u Differentiate 5562*b*m*r**3 + 12175*b*r**3 - 14*b*r - 2*b - 539*m*r**3 - 4*r**2 with respect to m. 5562*b*r**3 - 539*r**3 What is the second derivative of 249905697*h**4 + 7283816*h - 2 wrt h? 2998868364*h**2 Differentiate 5485*n**3*q - n**3 - 22*n**2 + 17910*n*q + 4*n + 184744 wrt q. 5485*n**3 + 17910*n What is the second derivative of -2598*m**5 + 11*m**3 - 2*m**2 + 358*m - 859 wrt m? -51960*m**3 + 66*m - 4 Find the third derivative of -375065830*h**3 + 4918*h**2 + 5524*h - 3 wrt h. -2250394980 Find the second derivative of -77443562*s**4 + 39289902*s wrt s. -929322744*s**2 What is the first derivative of -200929018*g + 151693234? -200929018 What is the first derivative of -2616626*c**2 + 83*c - 874853127 wrt c? -5233252*c + 83 Find the second derivative of -74305996*r**2 + 137*r - 42861. -148611992 Find the second derivative of -5504657*w**4 + 9713*w + 133. -66055884*w**2 What is the derivative of 23596529*q**2 + 26484845 wrt q? 47193058*q What is the third derivative of 19*s**6 + 224185*s**5 + 111*s**2 + 1085588*s - 2? 2280*s**3 + 13451100*s**2 Find the second derivative of s**4 - 10*s**3 + 142347*s**2 + 33221811*s. 12*s**2 - 60*s + 284694 Find the third derivative of -2*s**6 + 3404745*s**4 + 5*s**3 + 9414*s**2 + 2647*s wrt s. -240*s**3 + 81713880*s + 30 What is the third derivative of 260572845*a**4 - 361844*a**2 + 494 wrt a? 6253748280*a What is the third derivative of 16014*i**6 + 291*i**4 + 3*i**2 - 19750200*i wrt i? 1921680*i**3 + 6984*i What is the second derivative of -19304050*n**3 - 3193849*n? -115824300*n What is the third derivative of g**3*h**3*w - 10*g**3*h**2 - 1387*g**3*w - 2*g**2*h**2 + g**2*w - 487*g**2 - 15*h**3 - 104*h wrt g? 6*h**3*w - 60*h**2 - 8322*w What is the first derivative of 12*l**4 - l**3 + 150*l**2 + 12*l + 9092347? 48*l**3 - 3*l**2 + 300*l + 12 Differentiate 5*a**2 - 2334620*a + 27852573 wrt a. 10*a - 2334620 Find the first derivative of 475*g**4*p**2 - 19138*g*p**2 - 93869191*p**2 wrt g. 1900*g**3*p**2 - 19138*p**2 What is the second derivative of -39*t**3 - 551154*t**2 + 8*t + 450820? -234*t - 1102308 Find the first derivative of -30*f**2*y + 787*f**2 - 162*f*y + 35660150*y wrt f. -60*f*y + 1574*f - 162*y What is the second derivative of 7491*p**4 + 18*p**2 - 770276*p - 6 wrt p? 89892*p**2 + 36 What is the first derivative of -572134*h**3 - 2*h**2 - 171*h + 1286638916 wrt h? -1716402*h**2 - 4*h - 171 Find the second derivative of 8771378*h**2*k**2 - 980531*h*k**2 wrt h. 17542756*k**2 Find the second derivative of -5878*d**5 - 619*d**3 + 18220427*d. -117560*d**3 - 3714*d Find the second derivative of 195320688*w**3 - 13245420*w wrt w. 1171924128*w What is the first derivative of -467426330*h*w - 347554239*w wrt h? -467426330*w Find the first derivative of -59356953*t**3 + 174635323. -178070859*t**2 Find the third derivative of -103534931*k**3 + 106427378*k**2. -621209586 Find the second derivative of 3234*i*m**2 + 100*i - 32*m**2 - 15030*m wrt m. 6468*i - 64 What is the second derivative of -25050439*f**2 + 34251131*f wrt f? -50100878 Find the third derivative of j**4 + 4179668*j**3 - 179101829*j**2. 24*j + 25078008 What is the third derivative of -18*d**6 - 2025826*d**4 + 9*d**2 + 1103*d + 824? -2160*d**3 - 48619824*d Differentiate 1093*d*v**2 + 277*d*v - 279575614*d + 5*v**2 + 2*v wrt v. 2186*d*v + 277*d + 10*v + 2 Find the second derivative of 301507336*y**2 + 477408576*y. 603014672 What is the second derivative of -652641983*j**2 + 7*j + 8445260? -1305283966 What is the derivative of 13*t**2*y + 3329*t**2 - 23221536*t*y**2 - 7884*t - 2 wrt y? 13*t**2 - 46443072*t*y Find the second derivative of 891664194*q**4 - 14576710*q - 1. 10699970328*q**2 Find the second derivative of -20345833*k**2*u**5 - 7670*k**2*u - 2*k**2 - 6*k*u - 4*k - 13*u**3 + 2*u - 2 wrt u. -406916660*k**2*u**3 - 78*u Find the second derivative of 4243430*o**2 + 4451004*o wrt o. 8486860 Find the third derivative of -87868002*j**3 + 51261535*j**2 wrt j. -527208012 Find the second derivative of 2977*b**2*y**2 - 1891*b**2*y - 20491*b*y**2 + 2*b*y - b + y**2 + y + 67 wrt b. 5954*y**2 - 3782*y What is the second derivative of -550*r**4 + 12107*r**2 - 23977382*r wrt r? -6600*r**2 + 24214 What is the derivative of 246855*h**3 - 4*h*v + 104*v + 557 wrt h? 740565*h**2 - 4*v What is the second derivative of -621*d**5 + 1355*d**2 - 20463948*d wrt d? -12420*d**3 + 2710 Find the third derivative of 484412331*m**3 + 4*m**2 - 13405*m - 128. 2906473986 Find the third derivative of 38085*j*s**3 + 20*j*s**2 + j*s + 144*j - 715*s**3 - 679*s**2 - 4 wrt s. 228510*j - 4290 Find the second derivative of -7*n**4 - 960*n**3 + 29*n**2 + 24349389*n wrt n. -84*n**2 - 5760*n + 58 Find the second derivative of -k**2*u**3 - 4*k**2*u + 902*k**2 + 11*k*u**3 - 2*k - 23806*u**2 + 2*u + 15 wrt u. -6*k**2*u + 66*k*u - 47612 What is
{ "pile_set_name": "DM Mathematics" }
6)/(-9)*3. What is l*r(a) + s*f(a)? 2*a**3 + a Let p(t) = -2*t**3 + 2*t. Let l(a) = a. Let d = 141 - 144. What is d*p(v) + 6*l(v)? 6*v**3 Let v(u) = -2*u**2 - 4*u + 8. Let i(y) = 2*y**2 + 5*y - 8. Calculate -4*i(n) - 5*v(n). 2*n**2 - 8 Let k(w) = -9*w - 5. Let d(f) be the second derivative of -5*f**3/3 - 3*f**2 + 23*f. Give -6*d(p) + 7*k(p). -3*p + 1 Let k(g) = -2*g**2 + 8*g - 2. Let v(j) = j**2 - 7*j + 1. Give 2*k(n) + 3*v(n). -n**2 - 5*n - 1 Let q(u) be the first derivative of 5*u**4/4 + 7*u**2/2 - 7*u + 8. Let r(o) = -3*o**3 - 4*o + 4. Calculate 4*q(x) + 7*r(x). -x**3 Let u be -1*((-3 - -6) + 6). Let w(x) = -13*x**3 - 17. Let i(g) = -4 + 0*g**3 + 3*g**3 - 6*g**3. Give u*i(j) + 2*w(j). j**3 + 2 Let u(a) = -a**3 + a**2 + a. Let x(q) = -4*q**3 + 6*q**2 + 5*q. What is 6*u(i) - x(i)? -2*i**3 + i Let r(a) = -8*a - 3*a - 11 + 18*a. Let i(l) = 4*l - 6. Give -5*i(b) + 3*r(b). b - 3 Let u(r) = -10*r**2 + 5*r - 5. Suppose -2*a + 12 = 3*n - 7*n, a + 2*n = -2. Let p(q) = -5*q**2 + 2*q - 2. Give a*u(l) - 5*p(l). 5*l**2 Let m(s) = -4*s**2 + 2*s. Let z(t) = 9*t**2 - 4*t + 1. What is -5*m(x) - 2*z(x)? 2*x**2 - 2*x - 2 Let l(x) = x**3 + x**2 + x + 1. Let t(f) = 7*f**3 + 7*f**2 + 4*f + 6. Let g(m) = 6*l(m) - t(m). Let s(c) = -3*c**3 - 3*c**2 + 5*c. Calculate 7*g(o) - 3*s(o). 2*o**3 + 2*o**2 - o Let c(y) = -y + 1. Let u(r) = -2*r**3 - r**2 - r. Let n be u(-1). Let t(z) = 2*z**n - 2 + 0*z - 4*z**2 + 2*z + z. Suppose 5*q + 12 = q. Give q*c(x) - t(x). 2*x**2 - 1 Let q(z) = 6*z**2 - 14*z - 8. Suppose 0 = 4*j - j + 9. Let h = j - 8. Let r(t) = -2*t**2 + 5*t + 3. Determine h*r(a) - 4*q(a). -2*a**2 + a - 1 Let p(i) = -32*i**3 + 3*i**2 + 3*i - 3. Let k(n) = -1537*n**3 + 145*n**2 + 145*n - 145. Calculate -3*k(q) + 145*p(q). -29*q**3 Let m(x) = -9*x**2 + 3*x - 5. Let s(p) = 13*p**2 - 4*p + 7. Let o(g) = g**3 - 7*g**2 - 5*g - 17. Let i be o(8). What is i*m(d) + 5*s(d)? 2*d**2 + d Let l(x) be the third derivative of x**5/10 - 7*x**4/24 + 6*x**2. Let n(c) = c**2 - c. Give -l(z) + 5*n(z). -z**2 + 2*z Let w(d) = -3*d**3 + 6*d**2 - 6*d + 6. Let g be (-12)/(-4) + (-5 - -3). Let v(x) = x**3 - x**2 + x - 1. Determine g*w(i) + 6*v(i). 3*i**3 Let s(v) = 6*v**2 + 2*v - 4. Let r(t) = 5*t**2 + 2*t - 3. Let a(j) = j**2 - 5*j - 11. Let f be a(7). Calculate f*s(p) - 4*r(p). -2*p**2 - 2*p Let w(i) = -i**3 - i**2 - i + 1. Let p(y) = 6*y + 6*y**2 + 9*y**3 - 4 - 3*y - 3*y**3. Calculate -p(x) - 4*w(x). -2*x**3 - 2*x**2 + x Let r(k) = -5*k**3 - k**2 + k. Let i be r(1). Let v(j) = 4*j. Let n(c) = -3*c. Determine i*v(p) - 7*n(p). p Suppose -3*x + 6*x + 2*r + 11 = 0, -4*x + 3*r - 43 = 0. Let v(j) = 9*j**3 - 7*j**2 + 9*j + 11. Let l(w) = 4*w**3 - 3*w**2 + 4*w + 5. Calculate x*l(s) + 3*v(s). -s**3 - s - 2 Let r(u) = -6*u**2 - 6*u + 6. Let j(i) = 18*i**2 + 17*i - 17. What is 6*j(q) + 17*r(q)? 6*q**2 Let p(b) = 44*b - 1. Let s(o) = 44*o - 1. Determine 5*p(l) - 4*s(l). 44*l - 1 Let p(t) = -t**2. Let k(r) = r**2. Let o = 6 - 6. Let m = 3 - o. Determine m*p(z) + 4*k(z). z**2 Let z(v) = 4*v**3 + 7*v**2 + 14*v - 6. Let o(n) = 3*n**3 + 6*n**2 + 15*n - 5. Determine -5*o(s) + 4*z(s). s**3 - 2*s**2 - 19*s + 1 Let l(m) = 5*m**2 - 5*m + 2. Let r(f) = -3*f**2 + 3*f - 1. Let y(j) = 4*l(j) + 7*r(j). Let g(v) = -v**3 - 6*v**2 + 5*v + 4. What is -g(a) + 4*y(a)? a**3 + 2*a**2 - a Let g(q) = q**2 - 3*q - 4. Let s(m) = 3*m**2 - 8*m - 11. Let h(k) = 11*g(k) - 4*s(k). Let p(n) = n**3 + 3*n**2 + 5*n. Give 5*h(i) + p(i). i**3 - 2*i**2 Suppose l + 10 = -l. Let u(p) = 3*p + 5. Let q(v) = 2*v + 3. Let c(k) = k**2 - 7*k. Let y be c(8). Give l*u(n) + y*q(n). n - 1 Let o(g) = 3*g + 5. Let y(c) be the first derivative of -c**5/60 - c**4/8 + 5*c**3/3 + 3. Let z(n) be the third derivative of y(n). Determine 3*o(r) + 5*z(r). -r Let n = -25 - -23. Let v(i) = -i**2 + i. Let r = 0 + 0. Let o(a) = a - 1 + a**2 + r*a**2 - 5*a**2. Calculate n*v(h) + o(h). -2*h**2 - h - 1 Let x(s) = s**3 - 3*s - 6. Let y(p) = -p - 1. Let w be 9*5/225*5. Give w*x(q) - 3*y(q). q**3 - 3 Let k(v) = 7*v**2 + 6*v - 4. Let r(p) = -p**2 + p - 1. Determine -k(q) + 6*r(q). -13*q**2 - 2 Let c(o) = 5*o + 4. Let s(i) = i + 6*i + 9 + 4*i. What is -9*c(x) + 4*s(x)? -x Let g(h) = -38*h**2 + 5*h - 5. Let m(z) = -1007*z**2 + 133*z - 133. What is -133*g(n) + 5*m(n)? 19*n**2 Let i(p) = -221*p**2 - 51*p. Let b(l) = 22*l**2 + 5*l. Give -51*b(w) - 5*i(w). -17*w**2 Let f(m) = m**2 - 1. Let g(y) = -7*y**2 + 11*y + 5. Give 5*f(p) + g(p). -2*p**2 + 11*p Let c(y) = -4*y - 6. Suppose 5*l - 5*i = 5 - 15, -4*i - 40 = 4*l. Let d(p) = -9*p - 13. Calculate l*d(u) + 13*c(u). 2*u Let o(l) = -1 - l**2 + 1 + 16*l**3 - 17*l**3. Let m(c) = 1. What is -m(q) + o(q)? -q**3 - q**2 - 1 Let m(s) be the first derivative of 7*s**3/3 - s**2/2 + 7*s - 1. Let y(t) be the first derivative of -2*t**3 + t**2/2 - 6*t + 9. Determine -5*m(f) - 6*y(f). f**2 - f + 1 Let a(h) = 4*h**3 + 2*h**2 + 2*h + 1. Let u(n) = -20*n**3 - 11*n**2 - 11*n - 5. Determine -22*a(x) - 4*u(x). -8*x**3 - 2 Let u(a) = 10*a**2 + 5*a. Let q = 10 - 12. Let l(j) = -5*j**2 - 3*j + 3*j**2 + 2*j. Give q*u(n) - 11*l(n). 2*n**2 + n Let a(i) = 6*i + 20. Let p(h) be the second derivative of -h**3/3 - 7*h**2/2 - 7*h. Give -5*a(c) - 14*p(c). -2*c - 2 Let h(i) = -2*i**2 - 4*i - 9. Let c(l) = -3*l**2 - 5*l - 9. Calculate -4*c(t) + 5*h(t). 2*t**2 - 9 Let j(s) = s**2 + 3*s + 1. Let u(w) = -w + 1. Suppose -5 = 2*b - 7*b. What is b*u(q) + j(q)? q**2 + 2*q + 2 Let u(m) = m. Let s(o) = 4. What is s(d) + 2*u(d)? 2*d + 4 Let h(v) = -9*v - 6. Let u(i) = -i - 1. Calculate -h(x) + 5*u(x). 4*x + 1 Let s(h) = -4*h**2 - 2*h - 4. Let n(g) = -9*g**2 - 4*g - 7. Give -3*n(i) + 5*s(i). 7*i**2 + 2*i + 1 Let z(h) = h**2 + 9*h - 5. Let r be z(-9). Let l(b) = 7*b - 1. Let g(o) = 6*o - 1. Determine r*l(x) + 6*g(x). x - 1 Let j(v) be the second derivative of 7/3*v**3 - 9*v + 10*v**2 + 0. Let h(i) = -5*i - 7. Let r(d) = -d**2 + 3*d - 2. Let n be r(4). Give n*j(c) - 17*h(c). c - 1 Let d(i) = -2. Let l(q) = -q**3 + 3. Determine 6*d(k) + 4*l(k). -4*k**3 Suppose 2*t = 4*r + 6*t - 12, -3*t = 2*r - 3. Let c(m) = -2*m. Let n(o) be the second derivative of -o**3/3 - 19*o. Give r*c(f) - 7*n(f). 2*f Let l(x) = 8*x + 7. Let c(w) = 7*w + 6. Let g be ((-2)/(-1))/(8/(-20)). Let j(a) = -a**3 - 11*a**2 + 13*a + 18. Let h be j(-12). What is g*l(y) + h*c(y)? 2*y + 1 Suppose -15 = -0*b - 5*b. Let p(i) = -2 - 2*i + 8*i - b. Let c(a) = 1 + 7*a - 4 - 3. Determine 4*c(q) - 5*p(q). -2*q + 1 Let n(o) = 5*o**3 - 4*o**2 - o - 2. Let p(s) = s**3 - s**2 - s. Determine -n(l) + 4*p(l). -l**3 - 3*l + 2 Let y(j) = -11*j - 14. Suppose -d = -3*d + 4, 2*d + 64 = -4*a. Let t(i) = 4*i + 5. Determine a*t(l) - 6*y(l). -2*l - 1 Let i(h) = -2*h**2 + 2*h - 1. Let n(m) = -4*m**2 + 4*m - 2. Give -5*i(u) + 2*n(u). 2*u**2 - 2*u + 1 Let p(d) = 0*d - d**2 - 3*d + 5*d**3 + 0*d**2. Suppose 4*y - 19 = -11. Suppose -2*r = 2*r + 12. Let f(s) = 4*s**3 - 2*s. Give r*f(a) + y*p(a). -2*a**3 - 2*a**2 Let l(g) = 9*g**3 - 45*g - 45. Let f(b) = b + 1. Calculate -90*f(r) - 2*l(r). -18*r**3 Let d(q) = q + 9. Let j(n) = -n - 8. Suppose 2*m - 4*z - 2 = 0, -5*z + 0*z = -15. Let w = m - 1. Calculate w*d(l) + 7*j(l). -l - 2 Let s(w) = -w - 10. Let i(z) = 3*z + 1 + 36 - 8. What is -6*i(r) - 17*s(r)? -r - 4 Let f(k) be the first derivative of 2*k**3/3 + 4*k + 2. Let q(c) = 4 - c**3 - 1 + 3*c**2 + 2 + 2*c**3. Let w be 32/(-18) - 2/9. What is w*q(p) + 3*f(p)? -2*p**3 + 2 Let u(b) = -2*b + 10. Let s be u(8). Let h(k) = 4*k + 2. Let l(c) = 17*c + 9. Let d = -26 - -52. Give d*h(w) + s*l(w). 2*w - 2 Let x(i) = 4*i - 3 + 9 + 4*i**2 - 7. Let b(q) = 5*q**2 + 5*q - 2. Suppose -8 = -4*n, u + 4 = -0*u + 4*n. Determine u*x(p) - 3*b(p). p**2 + p + 2 Let w(u) = -7*u + 7. Suppose 242*i = 247*i + 55. Let j(g) = -4*g + 4. Determine i*j(b) + 6*w(b). 2*b - 2 Let v(t) = -t**3 + t - 1. Let s be 0 + 3 + 2/(-2). Let k(l) = l**3 + 0*l**2 + 0*l**s - 2*l. Let f = -11 - -10. What is f*k(g) - 2*v(g)? g**3 + 2 Let g be (-2)/6 + (-57)/(-9). Let t(r) = -1. Let y(a) = -8*a + 5. Let n(b) = 7*b - 4. Let s(f) = -7*n(f) - 6*y(f). Calculate g*t(h) - 3*s(h). 3*h Suppose 0*x - 4*x = 0. Suppose -6*l + 4*l - 12 = x. Let i(g) = 5*g**2 + 4*g - 4*g. Let r(j) = -9*j**2. Determine l*r(o) - 11*i(o). -o**2 Let s(r) = 4*r + 5. Let i(a) = -a - 1. Let k(n) = -6*i(n) - s(n). Let f(q) = -q - 1
{ "pile_set_name": "DM Mathematics" }
3 - 32 + 124/7*k**2 + 632/7*k = 0. -4, 1/3, 14 Factor 2/13*a**3 - 24/13*a**2 - 60/13 - 86/13*a. 2*(a - 15)*(a + 1)*(a + 2)/13 Suppose -5*o + m + 3 + 3 = 0, 5*m = 3*o + 14. Let -g**3 + 8257 - g**3 - 20030 - 9523 - 2904*g - 132*g**o = 0. What is g? -22 Find n such that -2/3*n**2 - 638450/3 + 2260/3*n = 0. 565 What is h in -20/7 - 138/7*h**2 + 38/7*h**3 + 106/7*h + 2*h**4 = 0? -5, 2/7, 1 Let w(n) be the third derivative of 1/10*n**6 + 2*n**4 + 8/3*n**3 + 0*n + 1 - 4*n**2 + 11/15*n**5. Factor w(f). 4*(f + 1)*(f + 2)*(3*f + 2) Let t = 10 + -15. Let n be (t/(-15))/(2/(-6))*-2. Factor -5*c + 15*c**n + 307 - 298 + 9*c**2 - 25*c. 3*(2*c - 1)*(4*c - 3) Factor 18853834*j**2 + 1428 + 176*j + 534*j - 18853836*j**2. -2*(j - 357)*(j + 2) Let p(j) be the third derivative of j**7/630 + j**6/45 - j**5/45 - 4*j**4/9 - 31*j**2 + 2*j - 2. Factor p(s). s*(s - 2)*(s + 2)*(s + 8)/3 Suppose 2*i - 42 = -48. Let z be 8/i*20/(-160). Let -z*v + 1/6*v**2 + 0 = 0. What is v? 0, 2 Let r be 1 + (0 - 0) + 1 + 0. Let d(o) = 15*o**3 - 220*o**2. Let y(v) = -7*v**3 + 109*v**2. Let t(x) = r*d(x) + 5*y(x). Factor t(f). -5*f**2*(f - 21) Let d be 2/12 + 16443/14094. Factor -10/3*k**3 + d*k + 16/3 - 22/3*k**2. -2*(k + 1)*(k + 2)*(5*k - 4)/3 Let c(i) = -i**2 + 8*i - 20. Let m(z) = -7*z**2 + 48*z - 120. Let d be 1*(-4)/3*(-585)/(-130). Let s(a) = d*m(a) + 39*c(a). Solve s(w) = 0 for w. -10, 2 Let w(r) = -4*r**2 + 291*r - 767. Let h be w(70). Let g(c) be the first derivative of 29 - 1/6*c - 2/9*c**h - 5/12*c**2. Factor g(s). -(s + 1)*(4*s + 1)/6 Let r = 22994 + -22992. Find x, given that -2/5*x**r - 14/5*x + 0 = 0. -7, 0 Let -1/3*s**2 + 1334/3*s - 444889/3 = 0. Calculate s. 667 Solve -3*b - 1639*b**2 + 722*b**3 + 1601*b**2 - 757*b**3 = 0 for b. -1, -3/35, 0 Let p(w) be the second derivative of 5*w**7/6 + 13*w**6/3 - 141*w**5/4 + 170*w**4/3 - 70*w**3/3 - 855*w. Find v such that p(v) = 0. -7, 0, 2/7, 1, 2 Let b(t) = 19*t**2 - 274*t + 803. Let m(d) = 34*d**2 - 547*d + 1601. Let i(q) = 7*b(q) - 4*m(q). Solve i(w) = 0. 3, 87 Let s(c) = -26 + c + 33 + 0. Let t be s(-5). Factor -3/7*l**t + 1/7*l - 1/7*l**3 + 1/7*l**4 + 2/7. (l - 2)*(l - 1)*(l + 1)**2/7 Suppose 5*a - 6*j = -26, 0 = 2*a - 2*j - 176 + 184. Let d(g) be the first derivative of -28 - 1/9*g**3 - 1/2*g**a + 4/3*g. Determine p so that d(p) = 0. -4, 1 Let k be (-724)/2*(8 + 45/(-5)). Suppose -19*w = -322 - k. Factor -3/2*s**3 - w*s + 24 + 27/2*s**2. -3*(s - 4)**2*(s - 1)/2 Suppose -4*n**5 + 4775*n - 407*n + 192*n**4 + 1760 + 3536*n**2 + 1468*n**3 + 427*n**2 - 83*n**2 = 0. What is n? -2, -1, 55 Let b(n) be the third derivative of -n**6/600 - 8*n**5/25 - 63*n**4/40 - 47*n**3/15 - 5692*n**2. Factor b(f). -(f + 1)**2*(f + 94)/5 Factor 164*r**3 - 120000 - 3*r**4 - 7716*r**2 + 304*r**3 + 120*r**3 - 117600*r - 19896*r**2. -3*(r - 100)**2*(r + 2)**2 Suppose -198*m + 32 = -190*m. Let c(s) be the first derivative of 0*s - 1/4*s**3 - 1/4*s**2 + 7 + 1/24*s**6 + 3/20*s**5 + 1/16*s**m. Factor c(r). r*(r - 1)*(r + 1)**2*(r + 2)/4 Let l be (-1)/3 - (-273)/9. Let c = l + -26. Factor 2*i**2 + 2*i**c - 12*i**3 + i**2 + 8*i**2 - i**2. 2*i**2*(i - 5)*(i - 1) Let n be 7 + -3 + -2 + (-14 - 1). Let s = 15 + n. Factor 0*r**3 + 4*r + 10*r**s + 0*r**3 - 2*r**2 - 8*r**4 - 4*r**5. -4*r*(r - 1)*(r + 1)**3 Let z = -1729 + 1729. Let y(h) be the first derivative of -1/8*h**4 - 1/6*h**3 + 0*h + z*h**2 + 14 + 1/12*h**6 + 1/10*h**5. Factor y(u). u**2*(u - 1)*(u + 1)**2/2 Suppose -6*i = -23*i + 51. Let z be i/((-63)/60)*(-16)/40. Determine h, given that -2/7*h**3 + 0 - 6/7*h - z*h**2 = 0. -3, -1, 0 Let -2/9*c**2 - 122/9 - 124/9*c = 0. Calculate c. -61, -1 Let j be 22/(-396)*-114 - ((-38)/14 + (-8)/28). Determine x, given that j*x - 2/3*x**3 - 14/3*x**2 + 32 = 0. -8, -2, 3 Let q be 4/(-18)*(2 - 3). Let w = 29817 + -268351/9. Factor q*g - 2/9*g**3 - 2/9*g**2 + w. -2*(g - 1)*(g + 1)**2/9 Let c = -77 - -81. Suppose 3*b + 10 = 28. Factor -c*t**3 - b*t - 18 - 10*t**3 + 11 + 11 - 24*t**2. -2*(t + 1)**2*(7*t - 2) Let q = 1155 + -1103. Let b be (5/40)/(13/q). Factor -1/10*a**4 + 1/5*a + 0 - b*a**2 + 2/5*a**3. -a*(a - 2)*(a - 1)**2/10 Determine j, given that 1/9 + 14/9*j**3 + 4/3*j - 3*j**2 = 0. -1/14, 1 Factor -93/5*x - 88 - 1/5*x**2. -(x + 5)*(x + 88)/5 Let i = 78 + 62. Let f be (6/5)/((-56)/i) + 5. Determine s, given that 1/8*s**4 + 0*s + 1/2*s**3 + 1/2*s**f + 0 = 0. -2, 0 Let o be 3 + (2 - (0 - -5)). Suppose -4*k - 5*y = 0, -y + 5*y = o. Factor -30*a**2 + a**3 + 286*a + 14*a - 1000 + k*a**3. (a - 10)**3 Let q(r) be the third derivative of r**2 + 3*r**3 + 0*r - 5/8*r**4 + 0 + 1/20*r**5. What is p in q(p) = 0? 2, 3 Let m(j) be the third derivative of -j**6/100 - 11*j**5/200 - j**4/8 - 6*j**3 - 28*j**2. Let z(p) be the first derivative of m(p). Factor z(v). -3*(v + 1)*(6*v + 5)/5 Let w(g) = -27 - 37*g - 6*g - 15*g**2 + 88 + 16*g**2. Let x(n) = -44*n + 60. Let t(p) = -4*w(p) + 3*x(p). Factor t(i). -4*(i - 8)*(i - 2) Let k(u) be the first derivative of -u**3 - 51*u**2/2 + 180*u - 3434. Factor k(s). -3*(s - 3)*(s + 20) Let h(i) = -13*i**2 - 25*i - 11. Let w be h(8). Let x = w + 1043. Determine d, given that x - 4/11*d + 2/11*d**3 + 6/11*d**4 - 6/11*d**2 + 2/11*d**5 = 0. -2, -1, 0, 1 Let p be 3770/725 - 11/5. Let s(z) be the third derivative of 0 + 7/300*z**6 + 0*z**p - 1/30*z**4 - 1/30*z**5 + 0*z + 15*z**2. Factor s(d). 2*d*(d - 1)*(7*d + 2)/5 Let m be 0/(3/3) + 86 + 1. Suppose 17*x + 19 - m = 0. Determine w so that -40/3*w - 34/3*w**x - 26*w**2 - 2*w**5 - 8/3 - 74/3*w**3 = 0. -2, -1, -2/3 Suppose -p = -149*g + 151*g - 4, -2*g + 4*p = 16. Let w(r) be the second derivative of 5/6*r**3 - 10*r + 0*r**2 - 5/12*r**4 + g. Let w(y) = 0. Calculate y. 0, 1 Let x(l) = 4*l**2 + 4*l. Let n(u) = -5*u**2 - 5*u - 2. Let w be (-270)/(-72) - (-1)/4*1. Let a(k) = w*x(k) + 3*n(k). Factor a(f). (f - 2)*(f + 3) Suppose 2*s - 5*f - 4 = 5*s, -6 = 3*f. Determine a, given that -53150*a**2 - 1931*a**3 + 53918*a**s + 671*a**3 - 92*a - 8 = 0. -2/35, 1/3 Let g(l) be the second derivative of -l**5/80 + 571*l**4/24 - 40612*l**3/3 - 81796*l**2 - 2890*l. Factor g(p). -(p - 572)**2*(p + 2)/4 Let z(b) be the second derivative of -b**5/160 + 13*b**4/3 + 835*b**3/48 + 209*b**2/8 - 397*b - 2. Factor z(d). -(d - 418)*(d + 1)**2/8 Let p(w) be the first derivative of -3/2*w**4 - 216 - 1/5*w**5 + 4/3*w**3 + 0*w + 1/6*w**6 + 4*w**2. Factor p(o). o*(o - 2)**2*(o + 1)*(o + 2) Let c(p) be the second derivative of -2*p**6/75 + 48*p**5/25 - 767*p**4/15 + 2856*p**3/5 - 7128*p**2/5 + 4310*p. Determine m, given that c(m) = 0. 1, 11, 18 Factor -1/3*m**3 - 98/3*m**2 + 0 + 0*m. -m**2*(m + 98)/3 Let k(l) = 9*l**3 - 158*l**2 + 301*l - 168. Let p(w) = 20*w**3 - 315*w**2 + 597*w - 338. Let o(c) = 9*k(c) - 4*p(c). Find r such that o(r) = 0. 1, 160 Let c = -2151432/7 + 307526. Factor -2/7*y**3 - 1150/7*y - c + 14*y**2. -2*(y - 25)**2*(y + 1)/7 Factor 3/4*m + 0 - 9/4*m**3 + 3/2*m**2. -3*m*(m - 1)*(3*m + 1)/4 Let g(s) = 13*s**3 + 445*s**2 + 523*s. Let k(q) = 6*q**3 + 228*q**2 + 261*q. Let y(z) = -3*g(z) + 7*k(z). What is d in y(d) = 0? -86, -1, 0 Let b(m) = m**3 + m**2 + m + 1. Let v(q) = -12*q**3 - 28*q**2 - 8*q + 8. Let y(h) = -20*b(h) - 2*v(h). Factor y(n). 4*(n - 1)*(n + 1)*(n + 9) Let j(c) be the second derivative of -c**5/40 - c**4/3 - 3*c**3/4 + 9*c**2/2 - 40*c + 2. Suppose j(p) = 0. What is p? -6, -3, 1 Let i(x) be the second derivative of -x**4/5 + 47*x**3/10 + 1071*x**2/10 + 2*x + 1213. Factor i(j). -3*(j - 17)*(4*j + 21)/5 Let u(q) be the third derivative of -q**8/4480 + 19*q**7/5040 - q**6/240 + q**4/4 + 63*q**2. Let x(g) be the second derivative of u(g). Factor x(f). -f*(f - 6)*(3*f - 1)/2 Let u(s) be the third derivative of -s**8/1512 + 4*s**7/945 - s**6/540 - 7*s**5/135 + 5*s**4/27 - 8*s**3/27 - s**2 + 156*s. Solve u(z) = 0. -2, 1, 2 Suppose 4*y + 9 = c - 18, 0 = 2*y + 8. Factor -n**2 - 3 + c + 5*n - 1 - 2 + 1. -(n - 6)*(n + 1) Find b such that 13*b**4 + 1/3*b**5 - 1445/3 + 458/3*b**3 - 153*b + 1406/3*b**2 = 0. -17, -5, -1, 1 Let p(j) = 10*j**4 - 38*j**3 + 100*j**2 + 96*j + 24. Let d(n) = n**4 - 5*n**3 - n**2 - 2*n + 2. Let m(l) = 12*d(l) - p(l). Factor m(q). 2*q*(q - 15)*(q + 2)**2 Let z be (37/7 - (-2)/(-7)) + -3. Factor -2*r**4 + z*r**2 + r**5 - r + 44047*r**3 - 44047*r**3. r*(r - 1)**3*(r + 1) Let v(n) be the first derivati
{ "pile_set_name": "DM Mathematics" }
? (a) 13/5 (b) 0.4 (c) -979 (d) 4/7 b Which is the closest to -0.39? (a) -11 (b) -2 (c) -2/11 (d) 2/5 (e) 2/13 c What is the nearest to -1/3 in 66, 2, -27, 0, 1? 0 What is the nearest to 0 in -2, 5, -3132, 4? -2 Which is the nearest to -0.088? (a) -0.4 (b) -0.1 (c) -0.5 (d) 0.007 b Which is the closest to -1/2? (a) 735 (b) -9/7 (c) 6 b What is the nearest to -0.1 in -44418, 5, -7? 5 What is the closest to 4 in 2, 5, 274, -4/3? 5 Which is the closest to 9541? (a) 0.1 (b) 3 (c) 1 (d) 0.3 (e) -2/25 b What is the nearest to -0.2 in 2/9, -5, 96, 3? 2/9 Which is the closest to 2/7? (a) -185 (b) 0.1 (c) -20/7 (d) 1 b Which is the closest to 0? (a) -2 (b) -2.41 (c) 9/5 (d) 3 c What is the closest to -0.1 in -2, 7, 0.1, 2/7, 2.9? 0.1 What is the nearest to 10 in 0.2, 219, -3, -2, 2/9? 2/9 What is the closest to 0.3 in -5, 1/8, 0.26, 2/7, 15? 2/7 Which is the closest to -1/2? (a) -1/4 (b) -26/53 (c) -1 b Which is the closest to 3? (a) 2 (b) 1/5 (c) -4 (d) 7 a Which is the nearest to 0? (a) -0.3 (b) 5 (c) 1 (d) 3 (e) -27 a What is the nearest to -1 in 4, 21, 2, 3? 2 What is the closest to 1/2 in -5, -1/19, 10, 2? -1/19 Which is the closest to -20/9? (a) 13 (b) 0.3 (c) -3 (d) 94/5 c What is the closest to 0.5 in 4, -998, -2/9, 6? -2/9 Which is the closest to 2/53? (a) -15 (b) 4 (c) -1 (d) 0.08 d What is the nearest to 5/67 in 37, 1, -8? 1 Which is the nearest to 0.2359? (a) -1 (b) -0.1 (c) 1 (d) 1/5 d Which is the nearest to 0.2? (a) -4 (b) 3/2 (c) -0.1 (d) -577 (e) 1/4 e Which is the closest to 5/4? (a) 3 (b) -4/7 (c) 34 a What is the nearest to 3 in 0.1, 4/7, 0.66762? 0.66762 What is the nearest to 3/127 in -3/2, 1/16, -1/2? 1/16 What is the nearest to 0 in -774, 5, -1, 14? -1 What is the nearest to 1/3 in -4, -3, -0.3, 1/24? 1/24 What is the nearest to -1 in -1, -0.1, 0.04445, -5, 2? -1 What is the closest to 0 in 558, -15, -2, 0.3, 0.2? 0.2 What is the nearest to -0.1 in 2/5, 2/11, 144/17, 0.1? 0.1 What is the nearest to -2/15 in -269, 1/6, -0.5, -1/4? -1/4 Which is the closest to -0.6? (a) 7529 (b) -5 (c) 3 c Which is the nearest to -1? (a) -3 (b) 12 (c) 64/17 (d) 5 (e) 1/4 e Which is the closest to 0? (a) 1 (b) -0.0898 (c) 5 (d) -18 (e) 0.3 b Which is the closest to -4.75? (a) 220 (b) -1/3 (c) 0.4 b Which is the nearest to 19? (a) 169 (b) 0.4 (c) 2 c Which is the nearest to 0.1? (a) 1/7 (b) 544045 (c) 0.4 a What is the nearest to 0 in 0.01, 14, 9, -0.3, -8? 0.01 What is the closest to -0.08 in -41, -4/3, -2.1, 0.1? 0.1 What is the closest to -107 in 783, 2/3, 0.4, -5, 2? -5 What is the nearest to 1/5 in -2.4, -1, -4, 5, -1/2? -1/2 What is the closest to -281 in 196, -7, 5? -7 Which is the nearest to -2? (a) -0.04 (b) -6 (c) -5969 a What is the closest to 0.1 in -24, 3, -0.025, -1/13, 2? -0.025 Which is the closest to 1/5? (a) 1/9 (b) -34 (c) -4 (d) 0.2 d What is the closest to 6 in 0, -3/8, 0.5, -0.4, 181? 0.5 Which is the closest to 0? (a) -0.2 (b) -0.18 (c) -1 (d) 2/3 (e) 6 b Which is the closest to 8? (a) -7 (b) 0.3 (c) 5 (d) -4 c Which is the nearest to 9/202? (a) 0.84 (b) -5 (c) -2 (d) 0.5 d What is the nearest to -1/4 in 0.3, 2, 2.2, 767? 0.3 Which is the nearest to -1? (a) -1 (b) 19/2 (c) -7 a What is the nearest to -10/19 in -0.1, 1/4, 169, 1? -0.1 What is the closest to 1050 in -5/4, 7, 3? 7 Which is the nearest to -0.02? (a) -1/4 (b) -5 (c) 1.4 (d) -0.05 d Which is the nearest to 0.03? (a) 3.7 (b) -4/7 (c) 10 (d) 3 b What is the nearest to -1 in 55/3, -1/4, 1/4, 5, -25? -1/4 Which is the nearest to 3? (a) 53 (b) 9/10 (c) 8 b What is the nearest to -6.8 in -2/9, 1/2, -4389? -2/9 What is the nearest to 3/2 in 2/7, -1/3, -49/5, -0.04, 1/5? 2/7 Which is the nearest to 1? (a) -5 (b) 354 (c) -0.3 (d) 17 c Which is the nearest to 1/3? (a) 1/4 (b) 14059 (c) -0.5 a Which is the nearest to 0.1? (a) 4 (b) -46/3 (c) -1 (d) 22 c Which is the nearest to 0? (a) -5 (b) 4 (c) -54 (d) 139/5 (e) 2/5 e Which is the nearest to -1? (a) 0.61 (b) 4 (c) -5/13 (d) -2/9 c Which is the closest to 1.5? (a) -0.012 (b) 3/5 (c) 0.4 (d) -3 b What is the nearest to -1 in -1/7, 1/6, 25, 7? -1/7 What is the nearest to -3 in 0.3, 3, 1/17128? 1/17128 What is the nearest to -10 in 1/2, -4/143, 0, -4? -4 Which is the nearest to 1.9? (a) 2/21 (b) 0.05 (c) 0.9 (d) 0.3 c What is the closest to -1/3 in 3, -143/4, -11? 3 Which is the nearest to 0? (a) 2 (b) -14 (c) -1/3 (d) -0.01 (e) -4 d What is the closest to -5.2 in 0.7, -0.5, 3, 148? -0.5 What is the closest to 3/182 in -2/3, 2, -2, 0.5, 6/11? 0.5 Which is the closest to 1.3? (a) -20 (b) 3/7 (c) 0.3 (d) 0.5 (e) 2/11 d What is the closest to 0.0099 in 1, -3/7, -0.5, 4? -3/7 What is the nearest to -21 in -2, 0.1, 21? -2 What is the nearest to 3 in -18, -0.1, -21? -0.1 What is the closest to -66 in -1/2, -4/5, 22? -4/5 What is the nearest to 1.6 in 1, 0.3, -11.24, 5? 1 Which is the nearest to 0.1? (a) -3/5 (b) -2/13 (c) 0.06 (d) 1 c What is the nearest to 8 in -3, 3, 1354? 3 What is the nearest to -1 in -2/11, -1, -19, 10.7, -2? -1 Which is the nearest to 0.1? (a) 7349/4 (b) 0 (c) -2/9 (d) -5 (e) -4 b Which is the closest to -2/13? (a) -240 (b) -0.3 (c) 3/5 b Which is the closest to 5.9? (a) 0.12 (b) 0.4 (c) 0.5 (d) 7/8 d Which is the closest to 79? (a) -0.4 (b) 4/205 (c) -1/24 b Which is the nearest to -4? (a) 29 (b) -1.6 (c) 4 b What is the closest to -1 in 53, 4, 64? 4 What is the nearest to -2/7 in -3/5, -3242, 5, -1/3, -0.4? -1/3 What is the closest to 68/49 in 45, 2, -4? 2 What is the nearest to -1 in -19, -0.3, 534? -0.3 What is the closest to 129 in -5, 8, -0.3? 8 Which is the closest to -1/5? (a) 42 (b) -0.3 (c) -86 (d) 0.3 b Which is the closest to 209? (a) 0.204 (b) -4 (c) -0.4 a What is the nearest to -1/8 in -32, -1/7, -99, -1/2? -1/7 Which is the nearest to 2? (a) -3/5 (b) 2/11 (c) -2/7 (d) -0.4 b Which is the nearest to 1/3? (a) 1 (b) 0.12 (c) 2/9 (d) -11 (e) -2 c Which is the nearest to 0? (a) -1/11 (b) -10/3 (c) 2 (d) -5 a Which is the nearest to 0? (a) 0.66 (b) -48/19 (c) -6 a What is the closest to 2 in -22, 5, -1/5, -1.3? -1/5 Which is the closest to -7? (a) -0.5 (b) -2 (c) 0.4 (d) -1871/6 b What is the nearest to -1/2 in -0.3, 2/5, 11.996? -0.3 What is the nearest to 3/4 in 5, 0.3, -32.1? 0.3 What is the closest to 0.111 in 1, 2, 3, 11? 1 What is the nearest to -1 in -7, 1/578, 0.1? 1/578 What is the nearest to -1 in -160/61, 0.1, -4? 0.1 What is the closest to -10/9 in 4, 4/7, -2/5, -17.5? -2/5 Which is the closest to 111? (a) 1/5 (b) -0.3 (c) -0.35 (d) -25 a What is the closest to -21/16 in 2/9, 2/127, 0.11? 2/127 Which is the nearest to 0.1? (a) -2.4 (b) 0.4 (c) 10 (d) -48 (e) 3 b Which is the nearest to 2? (a) 1/78 (b) -154 (c) 0.2 (d) 0.3 d Which is the closest to -2/3? (a) 7/3 (b) -0.4 (c) -2 (d) 6.7 b Which is the nearest to 1.9? (a) 0.325 (b) 1/6 (c) -5 (d) 2/11 a Which is the closest to -1? (a) 4 (b) 6 (c) -231 (d) -26 a Which is the nearest to -2/3? (a) 2/7 (b) -21035 (c) -2 a What is the nearest to 27 in -5, -0.7, 0.1? 0.1 Which is the closest to -18? (a) -1/4 (b) 1 (c) 617 (d) 0 a What is the closest to 1940 in 0.4, -3, 0, -0.1? 0.4 What is the closest to -2/191 in 14, 3/7, 1/3, 0? 0 Which is the nearest to 59? (a) 0.1 (b) 0.05 (c) 7/4 c What is the closest to 0.3 in -5, 2, 0.5, 43, -4? 0.5 What is the nearest to -1/3 in 0, -0.3, 0.36, -476? -0.3 Which is the closest to 0.04? (a) 3 (b) 2 (c) -2/7 (d) 2/3 (e) 1/3 e Which is the closest to 1? (a) 4 (b) -6.5 (c) -1/5 (d) -4 c What is the closest to 0 in 4/9, 1/13, -0.4, -132, -0.02? -0.02 Which is the nearest to -1? (a) -280/117 (b) -3/19 (c) -0.4 c What is the closest to -0.1 in -12/7, 0.1, -807, -3? 0.1 What is the nearest to 0.2 in -4/67, -5, -4.5? -4/67 Which is the closest to -8? (a) 40/43 (b) 1 (c) 1.81 a Which is the closest to 7? (a) 0.22 (b) -33 (c) 0 a Which is the nearest to -3/61? (a) 4 (b) 2 (c) 18 (d) 1 d What is the nearest to 0 in -76940, 0.2, 0.03? 0.03 Which is the nearest to 20? (a) -5 (b) -9 (c) 24/13 c What is the nearest to 4 in -4, -66, 4, 0.04? 4 What is the closest
{ "pile_set_name": "DM Mathematics" }
t. 5 Solve 0 = -3*y + 8*g - 70, 13*y - 780*g - 14 = -785*g for y. -2 Solve -5*u = 2*y - 235, 52248*y - 52250*y + 9*u = 423 for y. 0 Solve -11 = 2*z - 4*q - 77, -5*z + 2*q + 37 = 0 for z. 1 Solve -o = -s - 5, -179*s + 175*s - 3*o = -8 for s. -1 Solve -b = 3*p - 14, -23526*p = -11757*p - 11763*p - b - 31 for p. 5 Solve -2398*r = h - 2403*r - 76, 2*h - 47 = 3*r for h. 1 Solve -567*l + 708 = 64*m - 568*l, -4*l - 27 = -m for m. 11 Solve 40*a - 85*a - 3*r - 34 = -43*a, 0 = 5*a - r for a. -2 Solve -2*j = -4*m + 12, 8*j - 91076*m = -91074*m - 132 + 28 for j. -14 Solve 0 = 5*t - 26907*f + 26912*f - 10, 1165*t + 3*f = -4642 for t. -4 Solve 5*f + 9*s = 129, 0 = 39887592*f - 39887592*f + 2*s - 22 for f. 6 Solve -1117*s + 1121*s = 6*x - 16, 0*s - 2*x + 0 - 8 = 2*s for s. -4 Solve -2*f = 7*h - 105, 795*h + 2*f - 75 = 790*h for h. 15 Solve -4*f - 62 = v, 441*v = -4*f + 435*v - 52 for f. -16 Solve -78 = -3*s + d, s - 1668 + 1631 = 4*d for s. 25 Solve 0 = -4*b - 2*q - 50, 27687*b - 13*q = 27688*b - 25 for b. -14 Solve w + 13 = 67*p - 71*p, -p + 5*w = 2*p + 27 for p. -4 Solve 4974 = -8*v + 5*g + 4874, 3*v + 3*g = -18 for v. -10 Solve -9*g - 6*p = -p + 2889 - 2891, 2*p - 8 = 0 for g. -2 Solve 5*o + 787 = -2*z + 812, 5*o + 75 = 2*z for o. -5 Solve 2*g = -u - 9, -309 = 54*g + 133217*u - 133212*u for g. -6 Solve -2*g + 2*l + 14 = 0, -33*l + 35 - 18 = g - 30*l - 6 for g. 11 Solve 2*u + u + 2*x + 44 = -6*x - 21, 15 = -u - x for u. -11 Solve -5*p - f = -20, 2*f + 0 - 9 = p - 2 for p. 3 Solve 0 = o - f + 40, 3*o - 4614*f + 2309*f = -2304*f - 112 for o. -36 Solve -5*t = 12044*s - 12055*s + 48, -s + 0*s = s + t - 3 for s. 3 Solve 3*o = 2*n + 2, -16*n + 16*o + 13*o = 26*o + 58 for n. -4 Solve -20*u + y - 19 = 0, 0 = 21802*u - 21801*u - y + 38 for u. 1 Solve q - 4*p = 0, -2*q + 26*p - 56*p + 7 = -31*p for q. 4 Solve 9*h - 20 - 21 = 4*i - 8, 4*i + 63 = -h for i. -15 Solve 5*u = -391856*b + 391855*b - 9 + 4, 2*u - 83 = 3*b for u. 4 Solve -5 = -2*z + d, 0 = -6*z + 20*z - 8*z - 2*z - 8*z - 10*d + 94 for z. 6 Solve 5*b + 41*k = 2199, -75 = -156*b + 163*b - k for b. -3 Solve -5*m + 3*b - 38413 + 38377 = 0, 4*b = 4*m + 40 for m. -3 Solve 5*j - 8*s - 29609 = -29640, 0 = 3*s - 6 for j. -3 Solve -130 = -5*g - 3*o - 139, -g + 9 = 2*o + 8 for g. -3 Solve 13 = 2*i - 5*a + 4 + 13, -10*i - 20 = 5*a for i. -2 Solve u - w - 150672 = -2*u - 150658, 0 = 2*u + 4*w for u. 4 Solve -2*z = -3*m + 4 + 97, -311 = 7*z - 11*m + 41 for z. -55 Solve -4*a - 4613 = 3*g - 4754, -7*a = g - 64 for a. 3 Solve l + 5*q - 89 = 0, 161*q - 106*q = 3*l + 319 + 674 for l. -1 Solve 4*i + 104 = 4*h, -561 + 673 = 5*h + 4*i for h. 24 Solve -91*g = -33*g - 57*g - 3*x + 24, -79*g - 2*x = 2613 for g. -33 Solve 0 = 3*f + 2*a - 4 + 8, 4*a + 164 = f + 184 for f. -4 Solve 158 = 2*m + 37*l - 127, -4*m - 2*l + 156 = -54 for m. 50 Solve 11*t + 1 = -10*t + 19*t + o, -2*t + 8*o + 6 = 0 for t. -1 Solve 709*g + 17*o - 273 = 705*g, o - 17 = 0 for g. -4 Solve 4*t - 60 = -4*b, 2900 - 2891 = 16*t - 5*b for t. 4 Solve 406 = 49*n - 2*d, -2173*d + 14 = -2175*d for n. 8 Solve -36*u + 84*u - p - 111 = -75*u, 0 = -3*u - p + 15 for u. 1 Solve 2*q - 4*q + 88*r + 41 = 85*r, -q = 33*r + 566 for q. -5 Solve 13*y = 22*y - 70*y + t - 64, -8*t + 5*t = -5*y + 6*t - 32 for y. -1 Solve 135*h - 77*h - 92 - 102 + 56 = 3*w + 83*h, -96 = 4*w + 4*h for w. -21 Solve k - 2*k - 5*o + 24 = 0, -25*k - 2840 + 2972 = 7*o + o for k. 4 Solve -2*w - 78335 + 78280 = 3*r, -3*r + 85 = -2*w for r. 5 Solve 0 = -13*v + 11*v + 3*g - 55, 2*v - 4*g = -3*g - 57 for v. -29 Solve -55395*k = -55391*k - 4*i - 12, 0 = 2*k + k + 3*i - 3 for k. 2 Solve -5*z - 11 + 21 + 15 = 5*c, 0 = 4*c + 782*z - 1576 for c. 3 Solve 0 = 8*w - 16, 2*w = 590*b - 588*b + 12 for b. -4 Solve 21 = u + 4*r - 5*r, 29*u - 57*u - r - 6 = -26*u for u. 5 Solve -3*c + 22 = 2*x, -44*x - 47*x + 99*x + 0*c - c = 36 for x. 5 Solve -3*u - 7*r = -177 + 38, r + 39 - 172 = 11*u - 14*u for u. 44 Solve -375*u = -f - 1526, 23*u - 89 = 19*u + 2*f - 21 for u. 4 Solve -27*t + 4*j = 189 - 70, -3*j - 2 - 10 = 0 for t. -5 Solve 228 = -4*m + 4*t, 4*m + 4*t = -18720659 + 18720415 for m. -59 Solve 391*r = 390*r - 0 + 12, 0 = -4*t - 5*r + 1 + 67 for t. 2 Solve -23 = 5*s + 3*o + 12, 11*s + 3*o = -41 for s. -1 Solve z + 35*r - 2024 = 3*z, -38*r = -4*z - 39*r + 70 for z. 3 Solve 2*s - 7*o = 76 - 272, -10*s + 12*s + 5*o + 22 = 162 for s. 0 Solve 0 = 16*t + 7645*d - 7644*d + 66, -t + 41 = 2*t + 4*d for t. -5 Solve 4*n - 302 = -2*i, 67*i + 226 = 5*n + 101*i - 82*i for n. 74 Solve 11 = 4*l - 3*j, 0 = 3*l - 2*l - 3064*j + 3069*j + 26 for l. -1 Solve 0*j + 4*j - 7*p + 201 = 0, -6*j - 3*p + 205 = -10*j - 0*j for j. -52 Solve 3*h - 3*h + h - s + 15 = -0*h, 48 = -8*h + 2*s for h. -3 Solve 3*z = -14531*f + 14536*f + 310, 5*z = 2*f + z - 0 + 110 for f. -65 Solve 39686*a - 32 = 4*i + 39690*a, i - 86 = 8*i + a for i. -13 Solve 1455*b + 647 = 19*f + 1456*b, -2 = -2*b for f. 34 Solve 3*p = 6*s + p + 14, -31*p + 45*p - 40*p = -s + 203 for s. -5 Solve 25290*s - 17 = 25287*s - z, 2 = -2*z for s. 6 Solve 82*l = 5*p + 86*l + 10, 0 = 2721*p - 4*l + 5442 for p. -2 Solve -9134*l + 9137*l - 3*c = 78, 3*c - 90 = -5*l for l. 21 Solve 3*y = 2*w + 12, 10*w + 3*y + 1222 = 6*w + 1234 for w. 0 Solve 1233*c - 140*f = 1229*c - 4352, -5*c + 4*f = 139 for c. -3 Solve 1529*g - 1521*g + 4*f = -240, 27*f - 108 = 0 for g. -32 Solve -g = 3*j + 2*j - 30, -4*g - 5*j = 20284 - 20329 for g. 5 Solve 0 = -g - 5*n - 17, 17*g + 2*n - 53 = 49*g + 5 for g. -2 Solve -5*n - 3*i + 35 = -20, -9373*i = -5*n - 9374*i + 35 for n. 5 Solve -562435*o + 2*c = -562437*o + 64, 2*c = 16*o - 458 for o. 29 Solve 4*n + 216 + 93 = -11*w, 2*n = 6*w + 3*w + 237 for n. -3 Solve -4781*x + 4793*x = -b - 97, 44 = -5*x - 4*b for x. -8 Solve 23*l - 44*l - 2*g + 4 = -22*l, -2*l + 4 = 2*g for l. 0 Solve 2*t = -2*s - t - 16 + 37, 0*t = -5*t + t + 20 for s. 3 Solve 15 = -2*f - 222*d + 192*d + 85, 3*f - 5*d - 5 = 0 for f. 5 Solve -5*q - 223 = 3*l - 117, 36 = -2*q + 2*l for q. -20 Solve 3*w = 3*k + 2*w - 23, -26432*k + 26424*k - w + 32 = 0 for k. 5 Solve 0 = -k + 2*q + 15, 278*k - 18 = 281*k + q for k. -3 Solve -6*v - 2*j + 74 = 8*j - 8*j, 3*j - 12 = 0 for v. 11 Solve 33 = -12*k - 30 + 99, 3*x - 4*k + 0 = -6 for x. 2 Solve 2*q - 6 = -2*f - 60, -2*f + 46*q = 142*q + 2686 for f. 1 Solve 25*b - 16*b + 4*q - 187 = 0, -10*b + 24*b = -5*q + 220 for b. -5 Solve 6*n + 18 = 11*n - 4*n - 3*y, -y - 12 = 5*n + y for n. 0 Solve h = 8*s + 165 - 64, 57*h = -3*s - 39*h + 100*h - 56 for s. -12 Solve 654 = j + 5*m + 651, 5*m - 12 = -4*j for j. 3 Solve -5*c = 13*n + 127 + 158, 103*c + 100*c + 15 = 200*c for n. -20 Solve -4*m - 4*s = -0*m, -36*m + 39*m + 5*s = -6*s + 24 for m. -3 Solve -2052 = 25*u - i - 2050, 0 = 5*u - 3*i + 6 for u. 0 Solve -341*l + 665*l - 326*l + r = 24, -2*l - r - 32 = 0 for l. -14 Solve 5*t - 28 = -v, 104037*v - 103992*v = 2*t + 125 for t. 5 Solve 0 = 4*f - 2255*m + 2144*m - 308, -12 = 3*m for f. -34 Solve 5*h - 26 + 24 = 5*k + 113, 0 = 5*h - 4*k - 89 for h. -3 Solve -4*x = -10*x - x + f + 20, 100 = -73*x + 74*x - 5*f for x. 0 Solve 2*q + 107 = -3*d + 7*q, 1230 = d - 3*q + 1271 for d. -29 Solve 266*r = -2*p + 269*r - 6, 4*r = -5*p - 1 + 32 for p. 3 Solve -685*r + 689*r + 4*v + 40 = 0, 0 = 5*r + 4*v + 35 for r. 5 Solve -172 = 4*q - 3*k, -5*q - 230 = 594*k + 584*k - 1182*k for q. 2 Solve -36*b - 76 = -16*b - 18*b, 4*b + 137 = -5*o + 2*o for o. 5 Solve -30*h - 6 = -2*a - 28*h, -6*a - 10*h + 18 = -6*h for a. 3 Solve -3 = -3*d - u, -d - 5*u + 425 = 424 for d. 1 Solve -2*d + 3*h - 9980 = -9988, 3*h + 4*h = -14 for d. 1 Solve 5*d - 8*d = -10*p + 5*p - 26, 0 = -d - 5*p + 2 for d. 7 Solve -5*h + r + 1026 = 1010, 368 = -2*h - 23*r for h. 0 Solve 311 = 12*a + 5*l, -l + 235 = 5*a + 15*l - 12*l for a. 3 Solve -54*j = -u - 484, -63*u = 5*j - 62*u - 47 for j. 9 Solve -u = -4*f + 24, 0 = -5*f - 2451*u + 2446*u - 20 for f. 4 Solve 3714*k = 3711*k + 3*l + 42 - 141, 3*k = -13*k - 2*l - 546 for k. -34 Solve -234591 + 234587 = -2*x + 4*f, 0 = 3*x - 3*f - 6 for x. 2 Solve -37*g + 2*n - 9 = 34*g - 72*g, 0 = -4*g + g + 4*n + 57 for g. 15 Solve 4*z - 180 = -14*x, x + 239*z = 240*z + 18 for x. 14 Solve -49*z + 150 = -43*z + 2*y - 186, z = -2*y + 61 for z. 55 Solve 0 = -5*y + 351*p - 367*p - 17, 0 = -4*y + 5*p - 67 for y. -13 Solve 5*c
{ "pile_set_name": "DM Mathematics" }
= -1900 - -15203/8. Factor t*q**2 + 1/8*q + 1/8*q**4 + 0 + 3/8*q**3. q*(q + 1)**3/8 Let l(k) be the first derivative of 2*k**5/55 + 15*k**4/11 + 262*k**3/33 + 150*k**2/11 + 82. Let l(f) = 0. Calculate f. -25, -3, -2, 0 Let k(l) = 9*l**2 - 738*l. Let n be k(82). Factor n*i + 24/5*i**4 - 6/5*i**3 + 0 - 14/5*i**5 - 4/5*i**2. -2*i**2*(i - 1)**2*(7*i + 2)/5 Let g = 539/118 + -4/59. Let q = 63/2 - 30. Determine x, given that q*x**2 + 3 + g*x = 0. -2, -1 Let 24 + 17 - 15715*k - 10*k**2 + 11 + 15841*k = 0. Calculate k. -2/5, 13 Factor 27636*l + 4/3*l**3 + 388*l**2 - 86436. 4*(l - 3)*(l + 147)**2/3 Factor -162*x + 0*x + 64*x + 272 + 17*x**3 + 12*x**2 - x**4 - 122*x. -(x - 17)*(x - 2)**2*(x + 4) Let o(z) be the third derivative of z**8/26880 + z**7/2240 - z**6/240 + z**5/60 + 5*z**4/3 + 84*z**2. Let h(v) be the third derivative of o(v). Factor h(n). 3*(n - 1)*(n + 4)/4 Let i(z) be the third derivative of -2/255*z**5 - 1/102*z**4 + 1/17*z**3 + 53*z**2 + 1/1785*z**7 + 1/510*z**6 + 0*z + 0. Solve i(d) = 0. -3, -1, 1 Let x(j) be the second derivative of 1 - 5/3*j**4 - 22*j - 5/6*j**3 + 10*j**2 + 1/4*j**5. Factor x(s). 5*(s - 4)*(s - 1)*(s + 1) Let w(u) be the second derivative of u**5/10 + u**4 - 32*u**2 + 435*u + 1. Factor w(z). 2*(z - 2)*(z + 4)**2 Let q(d) = -6*d**4 + 72*d**3 - 46*d**2 - 2594*d - 5180. Let l(h) = 13*h**4 - 144*h**3 + 97*h**2 + 5189*h + 10358. Let n(r) = 2*l(r) + 5*q(r). Factor n(j). -4*(j - 12)**2*(j + 3)**2 Let m(y) be the third derivative of y**8/168 + 2*y**7/15 + 6*y**6/5 + 16*y**5/3 + 32*y**4/3 + y**2 + 840*y + 2. Factor m(h). 2*h*(h + 2)*(h + 4)**3 Determine z, given that 19*z**5 - 99*z**3 + 349*z**2 - 55*z**4 - 56*z**3 + 90 + z**5 - 84*z**2 + 435*z = 0. -2, -1, -1/4, 3 Let v be ((-12)/21)/(2*(-1)/7). Suppose 24 = 2*u - 5*l, -2*u - 3*u - 3*l - v = 0. Suppose -52*b - 28*b**3 - 2 + 4*b**4 + 2 + 60*b**u + 3 + 13 = 0. What is b? 1, 4 Factor 0 + 2/3*l**3 - 94/3*l - 92/3*l**2. 2*l*(l - 47)*(l + 1)/3 Let x(y) be the third derivative of -1/945*y**7 - 8/135*y**5 + 2/135*y**6 + 0*y**3 + 0*y**4 + 0*y + 81*y**2 + 0. Factor x(a). -2*a**2*(a - 4)**2/9 Let s be (2 - -1)*304/24. Let n be 4/s - (-140)/475. Factor -n*x**3 - 2/5*x**4 + 0 + 4/5*x**2 + 0*x. -2*x**2*(x - 1)*(x + 2)/5 Let w be (-4 - (-3312)/(-96))*48/(-198). Suppose -36*n**2 + 0 - 16/3*n**3 + w*n = 0. Calculate n. -7, 0, 1/4 Let w(v) be the third derivative of v**5/210 + 17*v**4/84 + 10*v**3/3 + 418*v**2 - 8*v. Factor w(f). 2*(f + 7)*(f + 10)/7 Suppose -3*q**4 - 1042*q**3 + 3*q**2 + 523*q**3 - 6*q + 525*q**3 = 0. What is q? -1, 0, 1, 2 Let t be 7 + -4*(-4038)/(-12). Let j = -1337 - t. Factor 15/2*q**j + 0*q + 0 + 3/4*q**3. 3*q**2*(q + 10)/4 Factor -3/8*w**2 + 261/8*w - 729/4. -3*(w - 81)*(w - 6)/8 Suppose -39*n - 62 - 100*n**2 + 24 + 99*n**2 = 0. What is n? -38, -1 Suppose 365 = 4*v - 3*u, 5*u + 224 = 3*v - 47. Let f be 1*-7 + (102 - v). Let 3/5*p - 3/5*p**f + 0 - 3/5*p**4 + 3/5*p**2 = 0. What is p? -1, 0, 1 Factor 123/5*z + 3/5*z**2 - 126/5. 3*(z - 1)*(z + 42)/5 Let p(h) = 3131*h + 6265. Let w be p(-2). Factor 11/5*j - 1/5*j**w - 2*j**2 + 0. -j*(j - 1)*(j + 11)/5 Let u be 0 - -2 - -12*6/24. Suppose 4*w + w = 3*f + 6, -4*f = -u*w + 8. Factor -c**3 + w - 6/5*c**2 + 0*c - 1/5*c**4. -c**2*(c + 2)*(c + 3)/5 Let i(a) = 5*a**2 - 33*a + 84. Let l(g) = 3*g + 33. Let j be l(-8). Let z(s) = 21*s**2 - 132*s + 336. Let r(b) = j*i(b) - 2*z(b). Solve r(x) = 0 for x. 4, 7 Let p(q) = -2*q**3 - 170*q**2 + 346*q - 182. Let c(l) = 4. Let f(v) = 2*c(v) + p(v). Factor f(o). -2*(o - 1)**2*(o + 87) Let t be (-33)/(-132) - (-406)/8. Suppose 0 = -9*k - 15 + t. Determine w, given that -k*w - 4/3*w**3 + 16/3*w**2 + 0 = 0. 0, 1, 3 Let d be -540 - (1 - (-1 + -5 + 7)). Let s = d + 542. Let -2 - 4/3*c + 2/3*c**s = 0. What is c? -1, 3 Let t(p) be the first derivative of -p**6/8 + 15*p**5 + 117*p**4 + 631*p**3/2 + 3171*p**2/8 + 477*p/2 - 3255. Suppose t(z) = 0. Calculate z. -3, -1, 106 Determine i, given that -2/5*i**4 + 686/5 - 252/5*i**2 - 392/5*i - 8*i**3 = 0. -7, 1 Suppose -141*p**3 + 88*p + 116*p**5 + 49*p**3 + 84*p**4 - 112*p**5 - 84*p**2 = 0. Calculate p. -22, -1, 0, 1 Let j = -28353/10 + 14199/5. Factor 3/2*h + j - 9/2*h**2 - 3/2*h**3. -3*(h - 1)*(h + 1)*(h + 3)/2 Let h be (230/(-40) - -17)*(-20)/(-90). Find g, given that 19/2*g**2 - 11/2*g - h*g**3 - 3/2 = 0. -1/5, 1, 3 Let p(q) = q**3 + q**2 + 2*q - 1. Let m(b) = -11*b**3 - 36*b**2 - 57*b + 6. Suppose 0 = -198*y + 197*y - 1. Let f(a) = y*m(a) - 6*p(a). Factor f(l). 5*l*(l + 3)**2 Let w(t) be the third derivative of -t**5/150 + 527*t**4/30 - 277729*t**3/15 - t**2 + 1256. Factor w(p). -2*(p - 527)**2/5 Factor 12*a**3 + 4*a**4 + 19*a**2 + 11*a**3 - 6*a**3 - 7*a**2 - a**3. 4*a**2*(a + 1)*(a + 3) Let w = -7/1380 + 1/46. Let d(b) be the third derivative of w*b**5 + 0*b + 0*b**4 + 0*b**3 - 7/240*b**6 + 1/84*b**7 + 0 + 4*b**2. Factor d(j). j**2*(j - 1)*(5*j - 2)/2 Let t(p) be the third derivative of p**5/160 + 21*p**4/32 - 25*p**3 + 5*p**2 - 117*p. Factor t(x). 3*(x - 8)*(x + 50)/8 Let p(o) = -84*o - 2 - 17*o**2 + 89*o + 15*o**2 - o**3 + 11. Let w be p(-3). Determine j, given that 0 - 9*j**w + 12*j - 39/2*j**4 + 15/2*j**5 + 30*j**2 = 0. -1, -2/5, 0, 2 Let i(f) be the first derivative of -27/8*f**2 - 27/8*f - 1/40*f**5 - 5/16*f**4 - 2 - 3/2*f**3. What is l in i(l) = 0? -3, -1 Let i(v) = -2*v**3 + 2*v**2 + 5*v + 4. Let f be i(-1). Let -335*a + 105*a**2 - 234*a**f + 569*a**3 + 15*a**4 + 10*a**4 - 130 = 0. What is a? -13, -1, -2/5, 1 Let i(h) be the first derivative of -h**4/16 - 193*h**3/12 - 9595*h**2/8 - 27075*h/4 - 201. Factor i(s). -(s + 3)*(s + 95)**2/4 Let d(y) = -y**2 - 16*y + 48. Let i be d(-18). Factor 15*v**2 - 20*v**3 + 10 + 44*v + i*v - 11*v. -5*(v - 2)*(v + 1)*(4*v + 1) Let y(h) = -223*h - h**3 - 219*h + 443*h. Let k(r) = 3*r**4 - 24*r**3 - 81*r**2 - 84*r - 30. Let d(v) = k(v) - 3*y(v). Suppose d(t) = 0. What is t? -1, 10 Let u(b) be the second derivative of -b**5/630 + 5*b**4/126 - 25*b**3/63 + 4*b**2 - 49*b - 1. Let o(t) be the first derivative of u(t). Factor o(r). -2*(r - 5)**2/21 Factor -z**2 + 0*z**2 - 14*z - 383 + 762 - 307. -(z - 4)*(z + 18) Solve 0 + 90/11*u**3 + 0*u - 92/11*u**4 + 0*u**2 + 2/11*u**5 = 0. 0, 1, 45 Suppose -86 = 5*u + 4*p, -48*u + 49*u - 4*p = -22. Let b be (-24)/(-55)*(-30)/u. Solve -b*t + 2/11*t**2 + 0 = 0 for t. 0, 4 Suppose 11 + 29 = -w. Let v be ((-30)/w)/(21/4) + 0. Factor v*d**2 + 0 + 4/7*d. d*(d + 4)/7 Let s = -52536 + 367755/7. Factor 6*d**3 + 39/7*d**2 - s*d + 0. 3*d*(d + 1)*(14*d - 1)/7 Let b(l) be the second derivative of l**7/1680 + 3*l**6/80 + 81*l**5/80 - 43*l**4/12 + l**3/3 + 30*l - 1. Let i(k) be the third derivative of b(k). Factor i(w). 3*(w + 9)**2/2 Let p(i) be the first derivative of 3*i**5/5 - 3*i**4 + 3*i**3 - 6161. Factor p(y). 3*y**2*(y - 3)*(y - 1) Let y(q) be the third derivative of q**5/15 - 15*q**4 + 1350*q**3 + 17*q**2 + 9*q. Solve y(a) = 0 for a. 45 Let l(t) = t**3 + 9*t**2 + 8*t. Suppose 45 = -8*u - 19. Let g be l(u). Solve z**3 + g*z**3 + z**2 - 18 + 18 = 0 for z. -1, 0 Let r = -62663/2 - -438645/14. Let z = 3 + 0. Factor r*u**z + 4/7*u**2 - 2/7*u - 1/7*u**4 - 3/7. -(u - 3)*(u - 1)*(u + 1)**2/7 Let r be (4*104/(-64) - -3)*(-76)/399. Factor -r*h**3 + 0 - 2*h**2 + 0*h. -2*h**2*(h + 3)/3 Let c(f) = 2*f**2 + 2*f + 1. Let u(l) = -18*l**2 + 2*l + 26. Let s(t) = -10*c(t) - u(t). Solve s(z) = 0 for z. -9, -2 Let k = 92/7 - 82/7. Let w be (-63 + 61)/(14/(-4)). Factor k*p**2 - 18/7*p - w. 2*(p - 2)*(5*p + 1)/7 Let c be 3 + (-4)/12 + 1852/1389. Suppose -6/11 - 12/11*n**2 + 2/11*n**c + 0*n**3 + 16/11*n = 0. Calculate n. -3, 1 Let z(q) be the first derivative of q**5/12 + 5*q**4/6 + 10*q**3/3 - q**2/2 - 2*q + 35. Let b(h) be the second derivative of z(h). Factor b(w). 5*(w + 2)**2 Factor -3/5*h**3 - 6/5*h + 3*h**2 - 24/5. -3*(h - 4)*(h - 2)*(h + 1)/5 Let p(d) be the second derivative of d**4/36 + d**3 - 60*d**2 - 4108*d. Factor p(z). (z - 12)*(z + 30)/3 Let c(r) be the third derivative of 7/390*r**5 + 0 + 0*r**4 + 1/780*r**6 + 0*r + 39*r**2 + 0*r**3. Factor c(f). 2*f**2*(f + 7)/13 Solve 9149*w**5 + 496*w**2 + 110*w**3 - 9144*w**5 + 45*w - 616*w**2 - 40*w**4 = 0 for w. 0, 1, 3 Let i = -463/1770 + 64/177. Let g(y) be the second derivative of i*y**3 + 1/10*y**2 + 0 + 1/100*y**5 + 1/20*y**4 - 17*y. Solve g(l) =
{ "pile_set_name": "DM Mathematics" }
king 2 f? 1/120 Calculate prob of picking 2 r and 1 t when three letters picked without replacement from rhthhrhrtzr. 4/55 What is prob of picking 2 x, 1 v, and 1 i when four letters picked without replacement from {c: 3, v: 9, b: 2, i: 1, x: 2}? 9/2380 What is prob of picking 1 b and 1 p when two letters picked without replacement from {b: 4, p: 7, q: 3, a: 4}? 28/153 Two letters picked without replacement from umrmm. What is prob of picking 1 u and 1 r? 1/10 Four letters picked without replacement from {w: 5, s: 14, z: 1}. Give prob of picking 4 w. 1/969 Four letters picked without replacement from {u: 2, n: 7, r: 5}. What is prob of picking 1 u and 3 r? 20/1001 Three letters picked without replacement from ffdmd. Give prob of picking 1 d and 2 f. 1/5 What is prob of picking 1 t and 1 o when two letters picked without replacement from tto? 2/3 Four letters picked without replacement from eauatvtvb. 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What is prob of picking 1 x and 1 l? 4/7 What is prob of picking 2 e when two letters picked without replacement from {e: 3, l: 5, h: 5, b: 2}? 1/35 Three letters picked without replacement from {x: 5, k: 1, o: 1, c: 5}. What is prob of picking 2 x and 1 o? 1/22 Calculate prob of picking 2 f when two letters picked without replacement from iffffinnfiiiiiiitii. 10/171 What is prob of picking 2 m and 1 s when three letters picked without replacement from {s: 3, c: 1, m: 4}? 9/28 What is prob of picking 2 d when two letters picked without replacement from {j: 2, c: 1, z: 2, d: 8}? 14/39 What is prob of picking 1 s, 1 b, 1 v, and 1 n when four letters picked without replacement from {s: 3, k: 4, v: 2, b: 1, n: 6}? 9/455 Calculate prob of picking 3 g when three letters picked without replacement from zzgzgggzzzgggz. 5/52 Four letters picked without replacement from yyyffffyyyuylyu. What is prob of picking 3 f and 1 l? 4/1365 What is prob of picking 1 z and 2 l when three letters picked without replacement from xztnznlt? 0 What is prob of picking 1 g and 3 n when four letters picked without replacement from ggggncncn? 2/63 What is prob of picking 1 k, 2 d, and 1 q when four letters picked without replacement from pxpqxxppqdkpqqpkdq? 1/306 Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {w: 1, c: 6, m: 1, k: 1, p: 4}. 1/13 What is prob of picking 1 r, 2 u, and 1 p when four letters picked without replacement from {p: 4, u: 2, t: 10, r: 3}? 1/323 Two letters picked without replacement from {i: 8, h: 2}. Give prob of picking 2 i. 28/45 Calculate prob of picking 1 j, 1 r, and 1 q when three letters picked without replacement from dkdaddaqrqjrqjaradd. 6/323 Two letters picked without replacement from {e: 1, a: 1, r: 1}. Give prob of picking 1 a and 1 e. 1/3 What is prob of picking 2 l when two letters picked without replacement from lcncnclnnclnln? 6/91 Three letters picked without replacement from {t: 1, v: 2, n: 1, e: 1}. What is prob of picking 1 t, 1 n, and 1 v? 1/5 Calculate prob of picking 1 d and 2 n when three letters picked without replacement from {n: 2, d: 6}. 3/28 Four letters picked without replacement from {s: 8, y: 3}. Give prob of picking 2 s and 2 y. 14/55 Four letters picked without replacement from {d: 4, f: 7, o: 1, b: 2, n: 1}. What is prob of picking 1 n and 3 f? 1/39 What is prob of picking 2 d when two letters picked without replacement from ddcdcdddddcdddccdddd? 21/38 Three letters picked without replacement from yuuyuuuuu. What is prob of picking 1 y and 2 u? 1/2 What is prob of picking 1 m, 1 t, and 1 a when three letters picked without replacement from yayoyaootm? 1/60 Three letters picked without replacement from submidi. What is prob of picking 1 u, 1 m, and 1 b? 1/35 Two letters picked without replacement from {u: 9, l: 1, x: 1, e: 4, c: 4}. What is prob of picking 1 e and 1 c? 16/171 Two letters picked without replacement from zzhhlhnlezdnznz. What is prob of picking 1 d and 1 l? 2/105 Two letters picked without replacement from {l: 1, i: 4, n: 3, g: 11}. Give prob of picking 2 g. 55/171 Calculate prob of picking 3 a and 1 j when four letters picked without replacement from {j: 16, a: 4}. 64/4845 Two letters picked without replacement from hzhfzbhhzbyy. What is prob of picking 2 z? 1/22 Calculate prob of picking 1 o, 1 j, and 1 z when three letters picked without replacement from {k: 4, j: 3, o: 6, q: 2, z: 3}. 9/136 Two letters picked without replacement from {s: 1, l: 1, z: 1, r: 4, g: 1}. Give prob of picking 1 g and 1 r. 1/7 Four letters picked without replacement from {b: 1, o: 1, f: 3, e: 3, g: 4, p: 5}. What is prob of picking 1 b, 2 g, and 1 e? 9/1190 What is prob of picking 1 i and 1 h when two letters picked without replacement from dihic? 1/5 Three letters picked without replacement from ececeeeeeeeeeecece. Give prob of picking 3 e. 91/204 Two letters picked without replacement from {l: 5, k: 1, e: 10, q: 2, p: 2}. Give prob of picking 2 e. 9/38 Calculate prob of picking 1 g and 1 s when two letters picked without replacement from ggzggzsgze. 1/9 What is prob of picking 1 l and 2 u when three letters picked without replacement from {l: 1, u: 12}? 3/13 Four letters picked without replacement from {x: 4, z: 1, h: 2, t: 4}. What is prob of picking 1 h, 2 t, and 1 z? 2/55 What is prob of picking 1 e, 1 l, and 2 o when four letters picked without replacement from eeooolelleeeleo? 8/65 What is prob of picking 2 u when two letters picked without replacement from {u: 7, l: 5}? 7/22 Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {v: 4, f: 6, a: 9}. 4/19 Calculate prob of picking 3 w when three letters picked without replacement from gggwwwwgggwgg. 5/143 Calculate prob of picking 2 z and 1 v when three letters picked without replacement from ozznvnqoonz. 1/55 What is prob of picking 2 k, 1 d, and 1 w when four letters picked without replacement from {i: 11, d: 1, k: 2, w: 1, n: 1, x: 4}? 1/4845 What is prob of picking 1 r and 1 v when two letters picked without replacement from vvrvvrrvvvv? 24/55 Calculate prob of picking 2 q when two letters picked without replacement from {q: 4}. 1 What is prob of picking 2 q and 1 r when three letters picked without replacement from {r: 1, q: 2, k: 3, x: 2, n: 8, s: 1}? 1/680 Four letters picked without replacement from {f: 1, j: 3, g: 2, i: 2, v: 1, z: 6}. What is prob of picking 1 f, 1 j, 1 i, and 1 z? 12/455 Three letters picked without replacement from icvawfwfiviw. Give prob of picking 1 i, 1 f, and 1 c. 3/110 Four letters picked without replacement from nsjjsjnnjsnn. What is prob of picking 3 n and 1 s? 2/33 Calculate prob of picking 2 u, 1 f, and 1 r when four letters picked without replacement from fruur. 2/5 What is prob of picking 1 b and 1 k when two letters picked without replacement from {k: 4, t: 2, r: 3, b: 1, w: 2}? 2/33 Two letters picked without replacement from msmmmmsmm. Give prob of picking 2 m. 7/12 Three letters picked without replacement from {u: 6, d: 1, z: 8}. Give prob of picking 1 z and 2 u. 24/91 Four letters picked without replacement from eejeejjjjeimjjejee. What is prob of picking 4 e? 7/306 Two letters picked without replacement from hphpppphphphhh. What is prob of picking 2 h? 3/13 Four letters picked without replacement from rxrrtrrxxt
{ "pile_set_name": "DM Mathematics" }
+ 11*z - 2. Let l(q) = q. Calculate l(p(h)). -h**2 - 794*h + 3 Let s(w) = 51*w**2 - 8*w. Let r(f) = -1183*f**2 + 182*f. Let o(b) = -4*r(b) - 91*s(b). Let h(k) = k + 10. Calculate o(h(a)). 91*a**2 + 1820*a + 9100 Let d(h) be the second derivative of -7*h**4/3 + 97*h**2/2 + 2*h + 15. Let a(g) be the first derivative of d(g). Let z(k) = k. What is a(z(y))? -56*y Let n(d) = -9*d**2. Let v(h) = 4*h**2. Let p = 183 - 180. Let c(t) = p*n(t) + 7*v(t). Let a(r) = 2*r**2 + 190*r. What is c(a(m))? 4*m**4 + 760*m**3 + 36100*m**2 Let p(c) = c**2. Let i(x) = -2*x**2 + 2*x - 3. Let o(a) = -5*a**2 + 10*a + 3. Let u(h) = 5*i(h) - o(h). Determine u(p(f)). -5*f**4 - 18 Let f(h) be the third derivative of h**5/60 - 2*h**2. Let m(q) be the third derivative of -q**5/30 - q**4/4 + 949*q**2 - 2*q. Give m(f(k)). -2*k**4 - 6*k**2 Let g(a) = -7*a. Let w(v) = 1219*v**2 + 45*v. Give w(g(n)). 59731*n**2 - 315*n Let x(b) = -2*b**2. Let t(m) be the first derivative of 0*m**3 - 13 + 23/2*m**2 + 0*m + 1/24*m**4. Let n(v) be the second derivative of t(v). Calculate x(n(p)). -2*p**2 Let x(p) = 2*p. Let o(a) = -76287849*a. What is o(x(j))? -152575698*j Let s(m) = m**2 + m. Let k be s(-2). Let w(y) = 8*y - k + 2. Let v(n) = 168*n - 191*n + 21*n. Determine v(w(l)). -16*l Let d(s) = 2*s**2 + 118*s - 69*s + 0*s**2 - 49*s. Let b(n) = 2*n**2 - 2*n**2 + 2*n**2. What is d(b(f))? 8*f**4 Let a(u) = 365 + 0*u - 365 - 4*u + 2*u. Let l(r) be the first derivative of -2*r**3/3 + 2*r + 2. What is a(l(c))? 4*c**2 - 4 Let i(a) = 813*a. Let j(s) = -2*s**2 - 6*s + 2. Let u(h) = 6*h**2 + 15*h - 5. Let q(z) = 5*j(z) + 2*u(z). What is i(q(w))? 1626*w**2 Let c(r) = -7*r + 12*r - 3*r + 14*r. Let z = 11 - 10. Let l(v) = 4 - 5 + z - 2*v**2. Determine l(c(i)). -512*i**2 Let v(s) = 69*s**2 + 2*s. Let y(z) be the first derivative of -z**2 - 904. What is y(v(w))? -138*w**2 - 4*w Suppose 9*z - 1134 = 6*z. Let s(x) = 9*x + z - 378. Let c(p) = 7*p**2. What is s(c(q))? 63*q**2 Let m(i) = -5*i. Let p(d) be the first derivative of -38981*d + 2*d**3 + 25 + 38981*d. What is m(p(b))? -30*b**2 Let h(v) = -207*v**2. Let f(i) = 1110367*i. Give h(f(y)). -255213379060623*y**2 Let h(j) be the first derivative of j**3 - 256705. Let a(y) be the first derivative of -5*y**2/2 - 2*y - 1. What is h(a(z))? 75*z**2 + 60*z + 12 Let j(w) = -14*w + 11*w + 9*w. Let v(l) = 14*l + 48. Let x(s) = 6*s + 20. Let t(a) = 5*v(a) - 12*x(a). Determine j(t(c)). -12*c Let c(v) = 2*v**2 + 8458*v - 18. Let r(m) = -8*m. Determine c(r(n)). 128*n**2 - 67664*n - 18 Let d(r) = 203*r**2 + 13*r + 13. Let t(s) = -94*s**2 - 6*s - 6. Let j(l) = 6*d(l) + 13*t(l). Let c(x) = -485*x**2. Give j(c(i)). -940900*i**4 Let t(i) = -60*i. Let d(u) = -79269264 + 34*u + 79269264. Calculate t(d(a)). -2040*a Let p(r) = r. Let o(m) = -3886399*m**2. Determine o(p(c)). -3886399*c**2 Let c(k) = -4*k**2 - 16*k. Let f(n) = 3*n**2 + 3*n**2 - n**2 + 10*n - 3*n**2. Let r(a) = 5*c(a) + 8*f(a). Let j(t) = -3*t. What is j(r(x))? 12*x**2 Let v(k) = -3*k**2 - 5*k - 25. Let m(l) = -8 + 7*l + 58 - 4 - 11 + 4*l**2. Let q(j) = -5*m(j) - 7*v(j). Let d(g) = 6*g - 13. Calculate q(d(z)). 36*z**2 - 156*z + 169 Let p be -4*30/50*(-5)/4. Let x(n) = -p*n + 11*n - 5*n. Let r(u) = 9*u**2 + 2. Calculate r(x(s)). 81*s**2 + 2 Let m(t) = 31*t. Let g(b) = 16*b**2 - 7*b + 7. Let y(f) = 11*f**2 - 5*f + 5. Suppose 18*s = -8*s + 182. Let k(j) = s*y(j) - 5*g(j). Calculate k(m(z)). -2883*z**2 Suppose -10 = 2*s - 0*s. Let h(f) = 5*f. Let c(i) = 4*i. Let a(g) = s*h(g) + 6*c(g). Let y(o) be the first derivative of -o**3 - 1608. Calculate y(a(p)). -3*p**2 Let c(q) = 24*q - 4. Let d(j) = 50974*j**2. Calculate c(d(h)). 1223376*h**2 - 4 Let y(m) = -6*m. Let r(a) = -32789984*a. Calculate y(r(p)). 196739904*p Let p(s) = -13*s. Let m(f) = 35*f. Let l(o) = m(o) + 3*p(o). Let b(w) = -151*w. Determine l(b(d)). 604*d Let y(c) be the second derivative of c**4/3 - 232*c. Suppose -f - 2*f = -9. Let v(o) = 30 - 30 - f*o. Give v(y(m)). -12*m**2 Let a(g) = 429*g**2. Let w(j) = 904821 - 904821 - j + 2*j. Give a(w(z)). 429*z**2 Let l(p) = 2*p. Suppose 0 = -2*m - 8 + 12. Let g(k) = 2 - 40*k**m + 210*k**2 - 2. What is l(g(i))? 340*i**2 Let a(q) = -108*q**2. Let o(u) = 16*u - 1. Let l(g) = -2*g**2 - 112*g + 7. Let n(i) = -2*l(i) - 14*o(i). Determine a(n(d)). -1728*d**4 Let b(k) = 8*k. Let i(y) = 59*y - 44. Let a(u) = -68*u + 46. Let l(j) = 7*a(j) + 8*i(j). Give l(b(z)). -32*z - 30 Let n(i) = -6*i**2 - 289*i. Let d(t) = 502*t. Give d(n(f)). -3012*f**2 - 145078*f Let w(r) = -3027*r**2. Let b(u) = -330551555 + 330551555 - 4*u. What is w(b(i))? -48432*i**2 Let t(d) = -36540*d + 1. Let r(g) = 1194*g. Give t(r(m)). -43628760*m + 1 Let m(y) = -2*y - 5. Let x(l) = -28*l**2 - 1128. What is x(m(i))? -112*i**2 - 560*i - 1828 Let f(z) = -2*z. Let l(y) = -6589282*y + 3. Determine f(l(r)). 13178564*r - 6 Let g(n) = 4*n**2 - 5*n + 19. Let a(b) = -2*b**2 + 2*b - 9. Let q(p) = -5*a(p) - 2*g(p). Let x(i) be the first derivative of -i**2 + 1224. Determine x(q(t)). -4*t**2 - 14 Let t(p) = p**2 + 6. Let a(f) = -64*f + 95*f - 53*f - 36*f. Determine a(t(m)). -58*m**2 - 348 Let j be 2/3*12/4. Let i(h) = 22*h**2 + 19*h**j - 30*h**2. Let p(b) = -19*b. What is i(p(m))? 3971*m**2 Let z(k) = -3*k. Let w(r) = 585*r. Let h(i) = -4*i. Let b(s) = 1320*h(s) + 8*w(s). Give b(z(u)). 1800*u Let d(b) = 53*b. Let y = -114 + 109. Let k(t) = -t**2 + 5*t - 5. Let p(c) = 2*c - 2. Let g(j) = y*p(j) + 2*k(j). Determine d(g(n)). -106*n**2 Let o(f) = 3*f. Let i(c) be the third derivative of 5*c**6/72 - c**4/24 + 5*c**3/2 + 3*c**2 + 1. Let s(z) be the second derivative of i(z). Calculate o(s(r)). 150*r Let d(u) = -u**2 + 21*u - 3. Let n(r) = 2*r**2 + 121*r - 11. Let f(z) = 2*z**2 + 132*z - 12. Let q(t) = -11*f(t) + 12*n(t). Calculate d(q(h)). -4*h**4 + 42*h**2 - 3 Let v(j) be the third derivative of j**4/24 + 199*j**3/3 - 4*j**2 + 61*j. Let t(b) = 2*b**2. Determine t(v(c)). 2*c**2 + 1592*c + 316808 Let y(l) be the second derivative of 0*l**3 - 5*l**2 - 5/24*l**4 - 9*l + 0. Let p(u) be the first derivative of y(u). Let m(z) = -3*z**2. Give p(m(i)). 15*i**2 Let m(k) = 2*k**2. Let c(h) = 1286*h + 20. Let s(v) = 1280*v + 23. Let j(p) = -7*c(p) + 6*s(p). Give m(j(y)). 3495368*y**2 + 10576*y + 8 Let s(a) = 2*a**2. Let p be ((-38)/(-4))/(1/90). Let n(u) = -428 - 429 + p + 75*u**2. Calculate s(n(f)). 11250*f**4 - 600*f**2 + 8 Let n(c) = -8*c**2 + c + 1. Let v(g) = 35438*g**2 - 4524*g - 4524. Let k(j) = -4524*n(j) - v(j). Let b(f) = -f**2. Determine b(k(s)). -568516*s**4 Let w(f) be the first derivative of -f**2/2 - 156. Suppose -3*g + y = -y - 142, 4*g - 188 = 4*y. Let c(d) = -g*d**2 - 3*d + 2*d + 45*d**2. Determine w(c(p)). 3*p**2 + p Let z(b) be the third derivative of -b**6/240 - b**4/24 - 3*b**3/2 - 202*b**2. Let g(w) be the second derivative of z(w). Let t(f) = -111*f**2. Give t(g(h)). -999*h**2 Let g(i) = 7055713*i. Let a(b) = -2*b. Determine a(g(p)). -14111426*p Let f(k) = 3*k**2 + 20620992. Let s(w) = 2*w. What is s(f(a))? 6*a**2 + 41241984 Let s(m) = -5*m**2 - 3*m + 27. Let c(a) = -12*a**2 - 8*a + 72. Let l(t) = -3*c(t) + 8*s(t). Let y(o) = -2*o**2 + 31. Give l(y(f)). -16*f**4 + 496*f**2 - 3844 Let o(i) = 11*i. Let b(s) = 181 + 181 - 533 + 2*s + 183. What is o(b(q))? 22*q + 132 Let x(u) = -2*u. Let m(n) = -4*n**2 - 45*n + 5. Let z(j) = -5*j**2 - 54*j + 4. Let a(g) = -6*m(g) + 5*z(g). Determine a(x(o)). -4*o**2 - 10 Let q(c) be the first derivative of -5*c**2/2 + 2003. Let p(r) = 122*r**2 - r. Calculate p(q(i)). 3050*i**2 + 5*i Let l(j) = -j**2 - j**2 - j**2. Let m(q) = 8 + 0 - 45*q + 50*q + 0 - 3. Calculate m(l(x)). -15*x**2 + 5 Let g(s) = -s. Let w(h) = 8*h - 57204540. Give w(g(r)). -8*r - 57204540 Let m = -31 + 29. Let b(x) = -x**3 - x. Let r be b(m). Let y(t) = 2*t - 3. Let c(j) = 4*j - 5. Let z(g) = r*y(g) - 6*c(g). Let i(v) = v**2. What is z(i(o))? -4*o**2 Let i(d) = -6*d**2. Let u(g) = -158*g + 16. Let p(x) = -163*x + 12. Let o(k) = 4*p(k) - 3*u(k). Determine i(o(j)). -190104*j**2 Let z(w) = w + 477. Let i(o) be the third derivative of 7*o**4/24 - 165*o**2 + 2*o + 4. Calculate i(z(u)). 7*u + 3339 Let n(o) be the second derivative of 13*o**4/6 + o**2 + 2*o. Suppose 42 = 6*t + 15*t. Let g(m) = 4*m**2 - m**t - 2*m**2. What is g(n(p))? 676*p**4 + 104*p**2 + 4 Let l(p) = -p. Le
{ "pile_set_name": "DM Mathematics" }
f**2 Let m(d) = -d**2 + 6*d + 37. Let q(g) = -1. Let s(v) = -m(v) + 5*q(v). Let w be s(-6). Find the first derivative of w*o + 25*o**4 + 0*o**4 + 31 - 30*o wrt o. 100*o**3 What is the first derivative of -2148 + 1610 - 7308*p**4 - 734 - 2186 wrt p? -29232*p**3 Let c = -56 - -60. Let y be (-3)/((-6)/c) - (-13 + -3). Find the first derivative of 0 - 3 - 20*g + y + 1 wrt g. -20 Let h(z) be the third derivative of -217*z**8/48 - z**7/210 + 409*z**5/20 - 516*z**2. What is the third derivative of h(t) wrt t? -91140*t**2 - 24*t Find the second derivative of 3*m + 379 + 459 + 410 - 8*m + 1114*m**2 - 1116 wrt m. 2228 Find the third derivative of -k**4 - 111 + 5*k**2 - 3*k**4 + 272*k + 115 + 311*k**5 + 492*k**5 - 530*k**5 wrt k. 16380*k**2 - 96*k What is the first derivative of 69 - 21*p + 1086*p**2 + 316 - 28*p + 47*p wrt p? 2172*p - 2 Let r(l) be the first derivative of -1087*l**5/5 - l**2/2 + 464*l + 1012. Find the second derivative of r(s) wrt s. -13044*s**2 Let s = -29 - -19. Let u(d) = d**2 + 8*d - 17. Let z be u(s). What is the third derivative of -4*t**z + 70 - 70 - 5*t**2 wrt t? -24 Find the second derivative of 596 - 596 - 247*s**2 + 700*s**2 + 1505*s + 659*s**2 wrt s. 2224 Let y(p) be the first derivative of -47 + 35/2*p**2 - 5*p**4 + 0*p**3 + 0*p. Find the second derivative of y(c) wrt c. -120*c What is the first derivative of 617*c + 687*c + 847 + 504*c - 2111 - 1193 wrt c? 1808 Let z(l) be the third derivative of 5/6*l**3 + 0*l**4 + 2 + 0*l + 1/40*l**6 + 7/60*l**5 - 20*l**2. Find the third derivative of z(p) wrt p. 18 Suppose 0 = -t - 12*t + 26. Suppose -t*h = 2*h - 2308. Find the third derivative of 24*n**2 - 577 + h + 25*n**6 + 11*n**6 wrt n. 4320*n**3 Let w be (-80)/(-16)*(-4)/(-5). What is the first derivative of 10*a - 2*a**2 + w + 7 - 10 - 47 wrt a? -4*a + 10 Let k(g) be the second derivative of 6597*g**5/20 - 2*g**4/3 + 104*g**3/3 + 56*g + 34. What is the third derivative of k(s) wrt s? 39582 Let n(z) be the second derivative of 0*z**4 + 0 + 42*z + 11/2*z**2 - 27/20*z**5 + 0*z**3. Differentiate n(t) with respect to t. -81*t**2 Find the third derivative of -1322565 + 229*q**3 + 1197*q**2 + 1322565 wrt q. 1374 Let x = 54 + -50. Let l(g) be the first derivative of -x - 2*g**3 + 13*g + 3 + 8 - 1. Differentiate l(v) wrt v. -12*v Let g(b) = -b**2 - 17*b - 16. Let v be g(-3). What is the second derivative of -232*f**5 + 719*f**5 - f - v - 191*f**5 wrt f? 5920*f**3 Let u(s) = -116*s**2 + 24*s - 890. Let p(t) = -115*t**2 + 21*t - 892. Let i(b) = -7*p(b) + 6*u(b). What is the second derivative of i(h) wrt h? 218 Let z(j) be the first derivative of -730*j**4 + 2046*j**3 + 3873. Find the third derivative of z(v) wrt v. -17520 Suppose 0 = -3*r + 212 + 505. Differentiate -13 - 26 + 169*w**2 - r*w**2 wrt w. -140*w Let t(k) be the first derivative of -773*k**3/3 - 59*k + 147. Differentiate t(j) wrt j. -1546*j Let d(x) be the second derivative of 589*x**4/4 - 634*x**2 + 75*x + 9. Find the first derivative of d(g) wrt g. 3534*g Let j(l) = -43*l**2 - 71*l - 2. Let d(s) = 2*s - s - 3 + 5. Let n(y) = -d(y) - j(y). Find the second derivative of n(i) wrt i. 86 Suppose -r + c = -10, 5*r - 38 = 2*c - 0. Find the third derivative of -111*j**2 - 29*j**6 + 126*j**2 - 22*j**r wrt j. -6120*j**3 Let z be (5/2)/(70/336). Let j = 33 - 18. Find the second derivative of -j*g**4 + 3*g**3 - 3*g**3 - 5*g + z*g wrt g. -180*g**2 Let b(w) = -w**3 - 17*w**2 - 14*w + 34. Let c be b(-16). What is the second derivative of -118 + 3*x + x - 4*x - c*x - 23*x**4 - x**3 wrt x? -276*x**2 - 6*x Let o = 5 + 48. Suppose 5*x - o = -23. Differentiate -x*j**2 + 11*j**2 - 2 + 10*j**2 with respect to j. 30*j Let a(j) be the third derivative of -11*j**6/120 - 71*j**5/60 - 217*j**4/12 + j**3/6 - 32*j**2 - 3*j. What is the second derivative of a(d) wrt d? -66*d - 142 What is the third derivative of -56*n**2 - 312*n**4 + 150*n**4 - 2*n**3 + 162*n**4 + 167*n**6 + 4*n**3 - 1 wrt n? 20040*n**3 + 12 Differentiate -6342 - 97*p + 315*p + 563*p - 152*p with respect to p. 629 Differentiate -870*f**4 - 562 + 583*f**4 - 560*f**4 - 548 - 851*f**4 with respect to f. -6792*f**3 Let j(x) be the second derivative of -112*x**2 + 0 - 233*x - 21/2*x**3. Find the first derivative of j(b) wrt b. -63 Let a(r) = r - 14. Let o be a(17). Suppose 6*j = 22 - 4. What is the first derivative of j - 22 - 6*l**3 - 2*l**3 + 0*l**o wrt l? -24*l**2 Let p(w) = -12 + 3*w**3 - 13*w**2 + 18*w - 2*w**3 + 1 + 3*w**2. Let q be p(8). What is the derivative of 14*k**3 - 2*k**3 + q*k**4 - 23 - 12*k**3 wrt k? 20*k**3 Find the second derivative of 940*v**4 - 613*v + 6840*v**3 - 6840*v**3 wrt v. 11280*v**2 Let o(b) = b**3 + b**2 + 4*b. Let t(m) = -3198*m**3 + 6*m**2 + 24*m - 4586. Let p(n) = -6*o(n) + t(n). Find the first derivative of p(r) wrt r. -9612*r**2 What is the second derivative of -57*a**3 + 1 - 3735*a**3 - 5499*a - 589*a - 1 wrt a? -22752*a Suppose 2*y - 23 = 2*l - 3*y, 81 = -4*l + 3*y. Let v be (-924)/l + (-1)/2. What is the second derivative of -3*b**2 + v*b - 54*b**3 + 51*b**3 + 0*b wrt b? -18*b - 6 Suppose -6*p = 188 + 16. Let x = p + 45. What is the third derivative of d**3 - 5*d**3 - x*d**3 + 14*d**2 wrt d? -90 Find the third derivative of -v**6 - 2*v**6 - 73496*v**2 + 72208*v**2 - 601*v**5 wrt v. -360*v**3 - 36060*v**2 Let w(t) = t**3 + 9*t**2 - 4*t - 94. Let a be w(-8). Let x(s) be the first derivative of 9*s + 35/2*s**a + 2. What is the first derivative of x(k) wrt k? 35 Let i be ((-3)/(-2) + -4)*-10*1. Find the first derivative of -100 + 80 + 4*f**3 - 120 - i*f wrt f. 12*f**2 - 25 Let h(x) = 3*x + 2. Let t be h(4). Let g(v) = -13*v - 212. Let d be g(-18). Differentiate -36*z - 7*z**3 + 11 + t*z + d*z with respect to z. -21*z**2 Let a(z) be the third derivative of -19/40*z**6 + 1/60*z**5 - 30*z**2 + 0 + 0*z**4 - z + 3/2*z**3. What is the third derivative of a(t) wrt t? -342 Let a(n) = -3373*n**2 + 30*n + 186. Let z(h) = 3377*h**2 - 24*h - 186. Let r(y) = -4*a(y) - 5*z(y). What is the first derivative of r(c) wrt c? -6786*c Let k(t) = 4*t**3 + t**2 - 5*t + 4. Let r be k(1). What is the third derivative of 4 - 4 + 4*z**2 - 39*z**2 + 52*z**r wrt z? 1248*z Let u be 5 - (5 + -7 + 7). Let b(x) be the first derivative of 16 + 0*x + 1/2*x**2 + 0*x**3 + u*x**4 - 2*x**5. What is the second derivative of b(j) wrt j? -120*j**2 Let r(k) be the first derivative of 7*k**5/120 - 17*k**4/6 - 16*k**3/3 - 12. Let b(s) be the third derivative of r(s). Differentiate b(w) with respect to w. 7 Let x(z) = -186*z**2 - 48*z - 4306. Let g(v) = 559*v**2 + 132*v + 12919. Let o(a) = 4*g(a) + 11*x(a). What is the derivative of o(i) wrt i? 380*i Let d(p) be the first derivative of 84*p**5 - 2248*p - 918. Differentiate d(x) with respect to x. 1680*x**3 Let l(r) = r**2 + 3*r - 2. Let v be l(-6). Suppose -4*x = -2*a - 16, 2*x + 0*a = 5*a + 24. What is the second derivative of -x*d + 13*d - v*d**3 + d wrt d? -96*d Let b(z) be the third derivative of 219*z**7/70 + 293*z**3/2 + z**2 + 33. Differentiate b(g) with respect to g. 2628*g**3 What is the derivative of 1902 - 136 + 71*u**2 + 47*u**2 wrt u? 236*u Let a(w) be the second derivative of 323*w**7/21 + 143*w**4/12 + 4*w - 36. Find the third derivative of a(d) wrt d. 38760*d**2 Let f(x) = 7*x**2 + 3*x. Let m be f(-1). Find the third derivative of -178*g**m + 11*g**2 - 57316*g**3 + 57316*g**3 wrt g. -4272*g Let g = 92 - -13. What is the second derivative of -97 - 23*i**2 - 92 + 187 - g*i wrt i? -46 Let n(z) = 2*z - 11. Let v be n(7). Suppose -5*g = -b - 10*g - v, -4*g - 6 = -b. What is the second derivative of -u**5 - u - b*u - u wrt u? -20*u**3 Let u(t) = -t**2 + 21*t + 2. Let g be u(21). Find the third derivative of -108*j**4 - 42*j**4 + 13*j**4 + 2*j**4 - 2*j - 28*j**g - 34*j**2 wrt j. -3240*j Let n(k) = 10*k**2 + 8*k - 15. Let q(h) = 357*h - 5 + 354*h - 708*h + 3*h**2. Suppose 15 = -3*i - 2*i. Let p(j) = i*n(j) + 8*q(j). Differentiate p(a) wrt a. -12*a Find the second derivative of -10*h**3 + 158*h**2 - 38*h**4 + 37*h + 41*h**4 + 35 - 159*h**2 + 40*h**3 wrt h. 36*h**2 + 180*h - 2 Let z(a) = 3*a**3 - 3*a**2 - 2*a + 1. Let t(n) = n**4 - 178*n**3 - 4*n**2 - 3*n + 6778. Let w(c) = -t(c) + 2*z(c). Find the second derivative of w(m) wrt m. -12*m**2 + 1104*m - 4 Let g(h) = -34*h - 130. Let a be g(-4). Fin
{ "pile_set_name": "DM Mathematics" }
or of m and s/6 - 2/(-12)? 18 Let j = 20327 - 366031/18. Let c = -4466 - -26713/6. Find the common denominator of j and c. 18 Let g = 16 + -11. Suppose -2*w + 36 = -4*q, 5*w = -3*q - g + 121. Find the common denominator of 7/22 and (-1)/4 + w/2. 44 Calculate the common denominator of (-340)/9*(-2)/(-16) and (6/(-80))/((-12)/(-232)). 180 Suppose -4*i = g + g - 74, -20 = -4*i. Suppose 3*w = g + 6. What is the least common multiple of w and 8? 88 Let v(w) = w**3 + w**2 - w + 20. Let a be v(0). Let f = -2748 + 30265/11. Calculate the common denominator of a/2 + 3/12 and f. 44 Let b be (-1)/5 + (-156815)/300. Let p = 1496/3 + b. Let g = -319/5 + 1501/20. Calculate the common denominator of g and p. 4 Find the common denominator of (2/(-20))/((-4)/(-215)) and -29/32. 32 Calculate the common denominator of -149/6 and 14/(-7) - 69/(-8). 24 Let i be (-7)/21 + 20/6. Suppose -5*w - 4*k = -29, w - 18 = -i*w + 2*k. What is the lowest common multiple of w and 11? 55 Suppose -5*f = 2 + 3, f = -3*s + 68. Suppose 2*y = 4*t - 14, -2*t + 6*t + 11 = -3*y. Suppose 0 = -2*l - t + s. Calculate the lowest common multiple of l and 3. 33 Suppose o - 9 = -2*z - 0, 36 = 3*z - 3*o. Suppose -2*t + 3*w + 30 = 0, 30 = 2*t - 0*w + w. What is the lowest common multiple of z and t? 105 Find the common denominator of 23/3 and ((-52)/(-10))/((-26)/(-39)). 15 Let b(t) = 2 + 3*t**2 + t - 3*t - 7*t**2 + 2*t**3. Suppose 237*r - 240*r + 42 = 0. What is the smallest common multiple of r and b(3)? 14 Let n = -856787/348504 + 2/14521. Calculate the common denominator of n and 29/30. 120 Suppose 5*w - 80 = -3*o + 7*o, 0 = -w. What is the common denominator of (-6)/(-18) - (-302)/(-96) and 423/o + 4/10? 16 Let u = -19/386 - -4447/2123. Let i = 18 + -11. Calculate the common denominator of (-3)/(-6)*(-15)/i and u. 154 Let v(m) = m**2 - 4*m - 3. Let z be v(5). Suppose z*j + 20 = 4*j. Suppose 0 = 5*i - 7 - 3. Calculate the smallest common multiple of j and i. 10 Let z(g) = g + 6. Let y be z(-7). Let n be ((414 - y)*-1)/(-1). Let r = n - 1589/4. Calculate the common denominator of r and 67/10. 20 Let r = -3534 + 21263/6. Calculate the common denominator of r and -77/12. 12 Let b = 10155/4 - 2551. Calculate the common denominator of b and -23/4. 4 Find the common denominator of 123/20 and (-4 + (-158)/(-40))*-31. 20 Suppose -4*c + 5*j + 17519 = 0, -4*c + 21883 = c - j. Let w be ((-5867)/6)/((-2)/9). Let l = w - c. Find the common denominator of 61/8 and l. 8 Let y = 256/7 + -13873/378. What is the common denominator of y and -29/66? 594 Suppose 11 = -6*h + 71. What is the smallest common multiple of h and 50? 50 Suppose 0 = -5*q + d - 0*d - 879, 3*d = -3*q - 531. Calculate the common denominator of 61/6 and 780/q + 2/11. 12 Let o(x) = -x**3 - 5*x**2 - 4. Let s be o(-5). Let m(z) = z**2 + z - 4. What is the least common multiple of m(s) and 2? 8 Suppose 4*r - s - 108 = 0, r - 2*r + s + 30 = 0. Let g = -16 + r. Calculate the least common multiple of g and 12. 60 Suppose 0 = 2*x + 2*g - 40, -3*x - 2*g = 2*x - 109. Suppose -2*u + x = 3*s, 4*s + 47 - 11 = 4*u. What is the smallest common multiple of 22 and u? 110 Let i(d) = -d - 11. Let n be i(-5). Let y = n - -28. Calculate the least common multiple of y and 18. 198 Suppose -5*o + 5 = -4*o. Suppose o*r - 28 = 167. What is the common denominator of -31/12 and (21/(-22))/((-9)/r)? 132 Let j be 15/10*(1 + 27). Suppose 2*m + m - j = 0. Calculate the lowest common multiple of 18 and m. 126 Find the common denominator of (-3)/2 + 7*110/120 and 7/33. 132 Let n = -78735841/2953 - -26663. Let k = -85673/53154 - n. Calculate the common denominator of 103/(-18)*(0 + -3) and k. 18 Let w(a) = -a**2 + 5*a + 2. Let v be w(5). Suppose 23 + 9 = v*m. Calculate the smallest common multiple of 6 and m. 48 Let l = -33793 + 7383. Let w = 15389 + l. Let z = w - -242527/22. Calculate the common denominator of z and 61/12. 132 Let x(o) = o**3 + o**2 - 4*o + 1. Let b be x(-3). Let p = 1 - b. Calculate the smallest common multiple of (p/(-5))/(1/(-5)) and 11. 66 Let d = 18120 - 362501/20. Find the common denominator of d and -37/10. 20 Suppose -l + 2*h = -12, h - 4 + 17 = l. What is the least common multiple of l and ((1 + 0)*-20)/(-1)? 140 Let h(m) = -3*m. Let a be h(0). Suppose -4*f + l + 0*l + 33 = 0, 4*f + 3*l - 13 = a. Let d = -13 + 19. What is the lowest common multiple of f and d? 42 Let o be (-1)/2 + 4105/(-20). Let t = o - -2735/12. Calculate the common denominator of t and 101/14. 42 Let j be (-22)/55 - (-24)/10. Suppose -3*g + 5*g - j = 0, -4*m + 3*g + 33 = 0. What is the least common multiple of m and 6? 18 Find the common denominator of 169/18 - (4 + -2) and -99/14. 126 Let d = -87 + 141. What is the least common multiple of d and 12? 108 Let s = 2 + 14. Let t(w) = -2*w. Calculate the lowest common multiple of s and t(-1). 16 Let s = 78/59 + -3968/413. Calculate the common denominator of s and 7. 7 Let r = 10997 - 22731/2. Let l(d) = -362*d**2 - 2*d - 1. Let n be l(-1). Let v = r - n. Calculate the common denominator of -115/14 and v. 14 Suppose -3*s + 4*s = -3*o + 39, 0 = -4*s - o + 145. Calculate the lowest common multiple of 12 and s. 36 Let r = -17 - -11. What is the common denominator of (-2)/(-4)*(-140)/3 and 209/330 - 1/r? 15 What is the common denominator of 29/5 and 28213/(-3115) + -1*2/14? 5 Let d = -257 - -267. Let u(v) = v**3 - 7*v**2 + 7*v + 3. What is the smallest common multiple of u(6) and d? 90 Let x = 7 + 1. Let k(b) = b + 11. Let z be k(-8). Suppose -2*w + 21 = v, -v - z = 2*v. Calculate the least common multiple of w and x. 88 Let y be 3/(-440)*17/3. Let r be (-2)/6 + (-17647)/(-2640). Let x = y + r. What is the common denominator of 67/20 and x? 80 Suppose 3*j - j = -12556. Let h = 18997/3 + j. Let t = h + -155/3. Find the common denominator of t and -93/2. 6 Let h(d) = -d**3 + 7*d**2 + d - 5. Let u be h(7). What is the common denominator of ((-155)/175)/(u/(-5)) and 61/8? 56 Let o(z) = -z**3 + z**2 - z + 2. Suppose -30 = i - 6*i. Calculate the smallest common multiple of i and o(0). 6 Let m be 6/3 + 1*2. Let d = -2 + m. Suppose -30 = -4*b + b. What is the smallest common multiple of b and d? 10 Let i = 7 - 6. Let h(p) = p**3 - 6*p**2 + 7*p - 5. What is the lowest common multiple of h(5) and 3*i - (6 - 4)? 5 Let n(o) = -o**3 - 4*o**2 - 3*o - 2. Let z be n(-3). Suppose 0 = 2*q - 6*q - 2376. Calculate the common denominator of 73/4 and z/9 - 267/q. 44 Suppose a + 11 = 2*q, -2*q = -3*a - 0*a - 17. Calculate the smallest common multiple of q and 16. 16 Suppose 16*k - 48 - 80 = 0. Calculate the lowest common multiple of k and 5. 40 Let a = -119 - -239. Suppose 3*d = -0*m - 4*m - a, -4*m - 5*d = 112. Find the common denominator of -8/9 and m/(-14)*(-4)/6. 63 Let n be 37/1 + (3 - 4). Let d = 50 - n. Suppose 4*l = 4*a + 40, 5*l - 5*a - 30 = 2*l. What is the lowest common multiple of l and d? 70 Suppose -3*z = -6*z + 48. Let i = -90 + 35. Calculate the common denominator of -1 + (i/z)/(-1) and -53/18. 144 Suppose 3*x - 24 = -2*a - 3*a, -5*x + 2*a + 40 = 0. Calculate the least common multiple of ((-7)/3)/(4/(-12)) and x. 56 Let s(w) = -w**2 - 8*w - 6. Suppose -r + 11 = -5. Suppose 2*i - 4 = r. What is the least common multiple of s(-7) and i? 10 Calculate the common denominator of -41/4 and (6/176)/(3 + 436/(-144)). 44 Suppose -4*g - u = 26, -3*g - 14 = g - 5*u. Let c(m) = -18*m - 2. Let z be c(g). What is the common denominator of 38/11 and (-2)/((-1)/(z/(-12)))? 33 Let j(x) = x**2 - 2*x + 23. Let s = 4 + -2. What is the lowest common multiple of s and j(0)? 46 Suppose -14 - 22 = -3*f. Calculate the smallest common multiple of f and 18. 36 Suppose 6*y - 81 = -4*a + 5*y, y = 1. Suppose 56 = a*b - 18*b. Calculate the least common multiple of 16 and b. 112 Let x(n) be the first derivative of n**3/3 + n + 3. What is the smallest common multiple of x(-3) and (-2 + 3)/(-1) + 19? 90 Suppose -12*o = -14*o + 18. Suppose 50 = 3*l + 2*l. Calculate the least common multiple of o and l. 90 Suppose -147 = 4*t + 141. What is the common denominator of 131/6 and 3/2 - 364/t? 18 Let t = 18 + -8. Calculate the smallest common multiple of 15 and t. 30 Let r be 6/((-1)/((-14)/3)). Suppose -48 = -0*i + 3*i. Let m = r + i. Calculate the smallest common multiple of 22
{ "pile_set_name": "DM Mathematics" }
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2 What is the tens digit of 23685008? 0 What is the hundred thousands digit of 1149436? 1 What is the hundreds digit of 11966601? 6 What is the units digit of 232281? 1 What is the thousands digit of 1887? 1 What is the ten thousands digit of 397796? 9 What is the millions digit of 2752055? 2 What is the hundreds digit of 526749? 7 What is the millions digit of 2054779? 2 What is the tens digit of 359402? 0 What is the tens digit of 4234075? 7 What is the hundreds digit of 5689? 6 What is the ten millions digit of 25876426? 2 What is the thousands digit of 522954? 2 What is the thousands digit of 7847500? 7 What is the units digit of 74421? 1 What is the ten thousands digit of 644986? 4 What is the ten thousands digit of 544786? 4 What is the units digit of 24243? 3 What is the hundred thousands digit of 421466? 4 What is the units digit of 6031780? 0 What is the hundreds digit of 93126? 1 What is the units digit of 2793699? 9 What is the tens digit of 709791? 9 What is the units digit of 30666957? 7 What is the thousands digit of 207614? 7 What is the hundreds digit of 2184344? 3 What is the tens digit of 466323? 2 What is the ten millions digit of 33316834? 3 What is the ten thousands digit of 1377015? 7 What is the ten thousands digit of 809016? 0 What is the hundreds digit of 5098797? 7 What is the ten thousands digit of 1159790? 5 What is the thousands digit of 119883? 9 What is the thousands digit of 127224? 7 What is the hundred thousands digit of 4017174? 0 What is the units digit of 9848582? 2 What is the hundreds digit of 2320895? 8 What is the ten thousands digit of 284691? 8 What is the hundred thousands digit of 104115? 1 What is the units digit of 446696? 6 What is the hundred thousands digit of 11348506? 3 What is the ten thousands digit of 4790481? 9 What is the tens digit of 2190023? 2 What is the millions digit of 2483403? 2 What is the ten thousands digit of 629734? 2 What is the hundred thousands digit of 299459? 2 What is the ten thousands digit of 17392393? 9 What is the hundred thousands digit of 7313550? 3 What is the tens digit of 191863? 6 What is the units digit of 157849? 9 What is the units digit of 73496? 6 What is the millions digit of 3457006? 3 What is the hundred thousands digit of 292370? 2 What is the millions digit of 19172339? 9 What is the units digit of 4813662? 2 What is the hundred thousands digit of 6482364? 4 What is the thousands digit of 65361? 5 What is the tens digit of 20193709? 0 What is the hundreds digit of 556040? 0 What is the hundreds digit of 8872500? 5 What is the hundred thousands digit of 760654? 7 What is the millions digit of 1823195? 1 What is the tens digit of 9004? 0 What is the ten thousands digit of 20992642? 9 What is the tens digit of 118867? 6 What is the tens digit of 1903424? 2 What is the millions digit of 10360748? 0 What is the tens digit of 1587577? 7 What is the millions digit of 20823435? 0 What is the ten thousands digit of 4466476? 6 What is the units digit of 286593? 3 What is the millions digit of 1552858? 1 What is the units digit of 541537? 7 What is the hundreds digit of 4542351? 3 What is the hundreds digit of 1605217? 2 What is the hundreds digit of 383159? 1 What is the thousands digit of 1106484? 6 What is the tens digit of 5549979? 7 What is the ten thousands digit of 28126419? 2 What is the thousands digit of 359936? 9 What is the units digit of 1914104? 4 What is the hundred thousands digit of 3404263? 4 What is the units digit of 506840? 0 What is the hundred thousands digit of 15691227? 6 What is the tens digit of 1041783? 8 What is the hundreds digit of 23470344? 3 What is the thousands digit of 674238? 4 What is the units digit of 126565? 5 What is the units digit of 6154476? 6 What is the hundreds digit of 213993? 9 What is the hundred thousands digit of 10542364? 5 What is the millions digit of 2300905? 2 What is the units digit of 2867013? 3 What is the ten thousands digit of 19806523? 0 What is the ten thousands digit of 15963650? 6 What is the tens digit of 268367? 6 What is the millions digit of 1854660? 1 What is the tens digit of 529182? 8 What is the thousands digit of 634844? 4 What is the millions digit of 3392720? 3 What is the hundred thousands digit of 809846? 8 What is the tens digit of 798614? 1 What is the ten thousands digit of 127295? 2 What is the hundred thousands digit of 147679? 1 What is the hundred thousands digit of 238912? 2 What is the ten thousands digit of 1008216? 0 What is the millions digit of 5037849? 5 What is the tens digit of 78024? 2 What is the ten thousands digit of 197125? 9 What is the thousands digit of 96894? 6 What is the ten thousands digit of 18604748? 0 What is the thousands digit of 2152077? 2 What is the units digit of 704578? 8 What is the tens digit of 115191? 9 What is the thousands digit of 2489824? 9 What is the tens digit of 137197? 9 What is the units digit of 7143018? 8 What is the millions digit of 4908165? 4 What is the millions digit of 5077680? 5 What is the tens digit of 192081? 8 What is the millions digit of 6431709? 6 What is the hundred thousands digit of 550593? 5 What is the tens digit
{ "pile_set_name": "DM Mathematics" }
nt from ebetebeteisiaeebee. Give prob of sequence ebet. 1/170 Four letters picked without replacement from {q: 4, e: 1, g: 1, t: 2}. What is prob of sequence qget? 1/210 Calculate prob of sequence zppz when four letters picked without replacement from pwlzw. 0 Two letters picked without replacement from hjhjhhhhh. Give prob of sequence hh. 7/12 Two letters picked without replacement from zhhzzahzzzhhhqhzazhz. Give prob of sequence qh. 2/95 Four letters picked without replacement from {j: 1, p: 5, v: 1, n: 9}. Give prob of sequence npjn. 3/364 What is prob of sequence sms when three letters picked without replacement from scsmecmccccmmsccsmvc? 1/114 Two letters picked without replacement from czccccczcccccczc. Give prob of sequence cc. 13/20 What is prob of sequence vg when two letters picked without replacement from eyllzglglyeezggvy? 1/68 What is prob of sequence eeep when four letters picked without replacement from {p: 10, e: 8, j: 1}? 35/969 What is prob of sequence nn when two letters picked without replacement from fjnnn? 3/10 Two letters picked without replacement from oololoslsssbssojbso. What is prob of sequence js? 7/342 Calculate prob of sequence at when two letters picked without replacement from {m: 1, g: 2, b: 1, a: 1, t: 1, h: 1}. 1/42 What is prob of sequence bcp when three letters picked without replacement from cpbnx? 1/60 Three letters picked without replacement from mxxxmtxmxxmxmmf. What is prob of sequence xmf? 1/65 Calculate prob of sequence vzv when three letters picked without replacement from hzvohzvvvvvzzoohov. 7/204 What is prob of sequence booo when four letters picked without replacement from oobbbboooooooobboob? 385/3876 Two letters picked without replacement from ttetteeteeiieteeet. What is prob of sequence ee? 4/17 Calculate prob of sequence mcmf when four letters picked without replacement from {f: 1, c: 2, a: 1, k: 2, s: 2, m: 1}. 0 What is prob of sequence gq when two letters picked without replacement from {g: 5, c: 1, q: 12}? 10/51 Two letters picked without replacement from {v: 1, r: 1, f: 1, a: 1, j: 2, s: 2}. What is prob of sequence jr? 1/28 Calculate prob of sequence xx when two letters picked without replacement from xxhxxxxxxhxxxxhhxxx. 35/57 Two letters picked without replacement from vxvx. What is prob of sequence xx? 1/6 Three letters picked without replacement from zvvhqvzv. What is prob of sequence hzv? 1/42 Two letters picked without replacement from tjjjjjjtjtttt. Give prob of sequence tj. 7/26 Calculate prob of sequence ohoh when four letters picked without replacement from orhrhilhreohehe. 1/819 Two letters picked without replacement from {f: 1, t: 2, o: 2, x: 1, h: 2, i: 1}. What is prob of sequence fx? 1/72 Three letters picked without replacement from {y: 3, b: 2, x: 2, v: 1, k: 1, o: 8}. Give prob of sequence xko. 1/255 What is prob of sequence uo when two letters picked without replacement from {c: 6, h: 2, o: 2, u: 3}? 1/26 Four letters picked without replacement from eggeeggegeegeggg. What is prob of sequence egeg? 9/130 Three letters picked without replacement from {t: 1, b: 7, y: 2}. What is prob of sequence bbb? 7/24 Calculate prob of sequence zdrd when four letters picked without replacement from {z: 8, r: 9, d: 2}. 1/646 What is prob of sequence lrer when four letters picked without replacement from {y: 3, v: 6, r: 2, e: 1, s: 4, l: 4}? 1/14535 Three letters picked without replacement from ccwwcccwccwwccwcwcww. What is prob of sequence cww? 11/95 Three letters picked without replacement from ppthhpttttttpt. What is prob of sequence tth? 2/39 Calculate prob of sequence pttj when four letters picked without replacement from {j: 1, t: 3, p: 3}. 3/140 Four letters picked without replacement from twwlzzllttttwtwwwzl. Give prob of sequence lwtt. 5/646 Two letters picked without replacement from {v: 8, z: 2, l: 5, w: 2, c: 1}. Give prob of sequence lw. 5/153 Two letters picked without replacement from rzszrvr. Give prob of sequence rv. 1/14 Calculate prob of sequence ns when two letters picked without replacement from snnsnnnnssssn. 7/26 Four letters picked without replacement from {l: 6, g: 1, m: 2, y: 3, o: 2, h: 5}. What is prob of sequence oghh? 5/11628 Four letters picked without replacement from {e: 3, t: 8}. What is prob of sequence teee? 1/165 Calculate prob of sequence iio when three letters picked without replacement from ioooiioo. 5/56 What is prob of sequence ggfg when four letters picked without replacement from {f: 2, g: 4}? 2/15 What is prob of sequence mmgs when four letters picked without replacement from qqmvqvwqgqgvqvsgmg? 1/9180 Two letters picked without replacement from {v: 1, g: 2, w: 1, z: 1, i: 1, b: 1}. Give prob of sequence zw. 1/42 Two letters picked without replacement from {z: 1, h: 7}. Give prob of sequence zh. 1/8 Two letters picked without replacement from {t: 4, y: 2, p: 2, f: 1, d: 7}. Give prob of sequence yd. 7/120 What is prob of sequence qq when two letters picked without replacement from fxjxqjqqjqx? 6/55 What is prob of sequence tte when three letters picked without replacement from {s: 3, t: 2, e: 2, d: 4, p: 6}? 1/1020 Calculate prob of sequence nq when two letters picked without replacement from dvqqqnn. 1/7 Calculate prob of sequence yqpv when four letters picked without replacement from pyvyqqyyqyyvypy. 4/1365 Four letters picked without replacement from {s: 13, y: 3, i: 3}. Give prob of sequence siii. 13/15504 What is prob of sequence lss when three letters picked without replacement from sllsslsslss? 28/165 Calculate prob of sequence ooot when four letters picked without replacement from {o: 12, b: 4, q: 1, t: 3}. 11/323 What is prob of sequence wwmw when four letters picked without replacement from {m: 1, w: 3}? 1/4 What is prob of sequence ff when two letters picked without replacement from {f: 3, k: 3}? 1/5 Three letters picked without replacement from irlarelraeerieaae. What is prob of sequence ari? 2/255 What is prob of sequence zp when two letters picked without replacement from coozpaoozzzpzzpzcoc? 7/114 Four letters picked without replacement from {c: 7, s: 2, p: 1, x: 3, i: 3, l: 3}. What is prob of sequence lssx? 1/5168 Two letters picked without replacement from wfwwwwxmmcffwwfww. What is prob of sequence cm? 1/136 Three letters picked without replacement from ionttfitin. Give prob of sequence fif. 0 Three letters picked without replacement from {g: 13, y: 3}. Give prob of sequence gyy. 13/560 Calculate prob of sequence nuti when four letters picked without replacement from uwntnwwinwnna. 1/3432 Two letters picked without replacement from {s: 2, z: 3, t: 2, e: 4}. What is prob of sequence sz? 3/55 Two letters picked without replacement from {x: 1, j: 1, q: 2, h: 2}. Give prob of sequence hx. 1/15 What is prob of sequence yian when four letters picked without replacement from iniiiaaaneiiyaaaaai? 7/5814 What is prob of sequence vfg when three letters picked without replacement from ggvzzzggzvvzfggv? 1/140 Four letters picked without replacement from jjjaadyivyddiiy. What is prob of sequence dvda? 1/2730 Four letters picked without replacement from vopxvxoppxpixxpxox. Give prob of sequence vvxi. 7/36720 Two letters picked without replacement from {u: 5, w: 3}. Give prob of sequence ww. 3/28 What is prob of sequence hr when two letters picked without replacement from {h: 7, r: 4}? 14/55 Four letters picked without replacement from ddglldwgdl. Give prob of sequence gwdd. 1/210 What is prob of sequence bb when two letters picked without replacement from {b: 4, m: 14}? 2/51 What is prob of sequence gggg when four letters picked without replacement from gexgdggggggggeggh? 99/476 What is prob of sequence hox when three letters picked without replacement from onhkxyk? 1/210 What is prob of sequence ww when two letters picked without replacement from {w: 6, x: 2}? 15/28 What is prob of sequence rgi when three letters picked without replacement from {s: 1, g: 1, i: 2, t: 5, u: 4, r: 2}? 2/1365 Three letters picked without replacement from {u: 16, v: 4}. What is prob of sequence vuu? 8/57 What is prob of sequence aa when two letters picked without replacement from aaaaaaaaaa? 1 Two letters picked without replacement from yyyyrr. Give p
{ "pile_set_name": "DM Mathematics" }
06. Suppose -5*f - j - 5 = 0, 4*f - 2*f + 4*j - 16 = 0. Which is the third biggest value? (a) z (b) f (c) x c Let y = -14 + 1. Let s = y - -8. What is the smallest value in 2/7, 1, s, 3/7? s Let k = 70.4 + -70.7. Let w(d) = d**3 - 10*d**2 - 11*d - 3. Let b be w(11). What is the biggest value in k, b, -1? k Suppose -p - p - 4 = 0. Let k = p - -4. Let g = -117 + 352/3. Which is the second biggest value? (a) g (b) -0.1 (c) k a Let p(r) be the third derivative of r**5/60 - 5*r**4/24 - 8*r**3/3 - 17*r**2. Let s be p(7). Which is the biggest value? (a) -5 (b) s (c) 4 c Let i be (-675)/(-840) + 6/(-16) + -1. Which is the smallest value? (a) 3 (b) -1/2 (c) i (d) -0.4 c Let x = -373 + 390. What is the biggest value in -1/3, x, 5? x Let b = 60 + -43. Let j = b + -17. Let z be ((-6)/(-7))/((-6)/4). What is the smallest value in z, j, -2? -2 Let o(v) = -v**3 + 2*v**2 + 8*v - 2*v - 6*v**2. Let s be o(-5). Let m = -0.0275 + 0.0275. Which is the biggest value? (a) m (b) s (c) 1 c Let z = 0.1 - -1.9. Suppose 0 = 4*i + 2*h + 6, -27 = 5*i - 6*h + 2*h. Let g = -2/19 - -44/57. Which is the second smallest value? (a) z (b) i (c) g c Let a be 4 + 6/9 + -4. Let d = 16 + -29. Let v = d - -8. What is the biggest value in a, 4/7, v? a Let p be (-6)/4 + (-65)/(-10). What is the third biggest value in 1, p, 4/9, -4/5? 4/9 Let q = -0.175 + 0.165. Let y = -81 + 81.2. Which is the smallest value? (a) q (b) 0 (c) y a Let h = -79 - -76. Which is the third smallest value? (a) 2 (b) h (c) -2 (d) -0.1 d Let t(d) = -3*d - 4. Let z be t(-3). Let m = -527 - -526.6. Which is the second biggest value? (a) m (b) 1/9 (c) z b Let k(u) = -u**3 + 18*u**2 + u - 32. Let f be k(18). Which is the second smallest value? (a) -0.19 (b) f (c) -1 c Let m = -0.97 - 0.03. What is the biggest value in 1/4, m, -5.4? 1/4 Let g = 979 - 974. What is the second smallest value in g, -0.01, -4? -0.01 Let z = -0.73 + 0.59. What is the smallest value in z, 4, -4, -1/4? -4 Let w = -1.1 + 2. What is the third smallest value in -6/7, 3/7, w? w Let w be 0 + (-1)/(-3) + -1. Suppose 47*v - 14*v = -165. Which is the smallest value? (a) v (b) -1/4 (c) w a Let u = 113 - 111. What is the biggest value in 1, 0.1, u? u Let u = 31.5 - 35.5. Which is the fourth biggest value? (a) 2 (b) -6 (c) u (d) -0.6 b Let b = 308 - 376. What is the second smallest value in 0.1, b, 1/2? 0.1 Let m = 69 - 109. Let b = m - -35. What is the smallest value in 0, 1, b? b Let v = 29 - 34. Let t = v + 6. What is the third biggest value in t, 4, 2/3? 2/3 Let q = 0.6 - 23.6. Let c = 19 + q. What is the third smallest value in 0.1, c, -2/7? 0.1 Let i be 8/15*(-6 - (-54)/8). Let n = 66.04 - 65. Let o = -0.04 + n. What is the second smallest value in o, -0.4, i? i Let n be 60/27*1 - 2. Let k = 12.14 - 0.14. Let u = k + -7. What is the third biggest value in 2, u, n? n Let w = -38733/1148 + 2944371/89380. Let s be (-26)/(-65) + 1536/(-3815). Let u = w + s. Which is the third smallest value? (a) u (b) -0.4 (c) 0 c Let r = -25 - -15. Let i = -73 + 68. Let v = i - r. Which is the smallest value? (a) 2/5 (b) v (c) -3 c Let n = -200 + 199.5. Which is the smallest value? (a) n (b) -138 (c) -3/4 b Suppose 7*q - 149 = -5*n + 5*q, 4*n - 3*q = 133. Which is the smallest value? (a) 0.5 (b) -12 (c) n b Let u = 18.01 + -0.01. What is the second smallest value in -0.06, u, 0.4? 0.4 Let g be 1 + (-10)/6 + 0. Suppose -3*s = 3*o + 18, -17*o + 16*o = 2*s + 9. Which is the fourth smallest value? (a) -4 (b) g (c) s (d) 0.1 d Let u = 52759 + -161542/3. Let w = u - -1071. Let k = w + 425/24. Which is the third smallest value? (a) -0.4 (b) k (c) -0.1 b Let r = 9/85 + 277/595. Let h = -9 + 9.3. What is the third smallest value in h, r, 0.08? r Let l = -42 - -47. Let z = -7883/19 + 415. What is the third biggest value in z, l, 4? z Let r be (-15)/(-10)*2/5. Let x be (-3)/(-6) - 4/6. What is the third smallest value in r, -4, x? r Let t = -0.1088 - 0.2912. Let s = -0.05 - 1.95. Which is the second biggest value? (a) t (b) s (c) -3.1 b Let t be (-6)/12*8/(-4). Let v be ((-3)/12)/(t/(-4)). What is the third biggest value in v, 10, 0? 0 Let g = -3.3 + 3. Let q = 1171 + -1166. What is the second smallest value in q, 1/4, -4/3, g? g Let r = 271.7 - 272. What is the third biggest value in -0.2, 0.06, r? r Let x = 102 - 133.4. Let z = -31 - x. Which is the second smallest value? (a) -2 (b) 1/3 (c) z b Let y be 30/(-14)*(-27)/1350*10. Suppose 2*i - 22 = 5*i + 5*l, -4*i + 5*l + 29 = 0. Which is the smallest value? (a) i (b) 0.7 (c) 5 (d) y d Let k = -2.41 - -2.11. Which is the biggest value? (a) 3 (b) 2 (c) k a Let u(w) be the first derivative of w**4/4 - 4*w**3/3 + 2*w**2 + 2*w - 3. Let f be u(2). Let p = 28/15 + -16/5. What is the smallest value in f, -3, p? -3 Suppose 0 = 2*s - 1 + 3. Let o be -10*s/(-4) - -3. Let v = 0.08 + -0.38. Which is the biggest value? (a) o (b) 4 (c) v b Let u = -3.7 + 4. Suppose -2*d + 20 = -4*d. Let t(n) = -n**3 - 10*n**2 - n - 14. Let p be t(d). What is the third biggest value in p, u, -5? -5 Let i = -3 - -8. Suppose -4*j - w = -7*j + 22, -2*j - i*w = -9. Let a be j - 5 - 2/3. What is the third biggest value in a, -1/2, -0.2? -1/2 Suppose -39*g + 9 = -36*g. Let q be (g + 0 - -5) + -4. Which is the third smallest value? (a) -3/5 (b) 2 (c) q c Let j(s) = s**2 - s - 16. Let p be j(-5). Suppose -p*g = -9*g + 10. Which is the second smallest value? (a) -1/3 (b) g (c) 3/4 a Let o(h) = -h**3 - 30*h**2 - 27*h + 59. Let j be o(-29). Which is the third biggest value? (a) j (b) -2 (c) 8 b Let v = 0.187 - -17.213. Let r = v + -20. Let i = 1.4 - r. What is the third smallest value in i, 0.6, -5? i Let t(y) = 4*y**2 - 8*y - 8. Let f be t(4). Suppose -j - 5*h = f, 2*h = -4*j + 7*h + 29. Which is the second biggest value? (a) j (b) -3 (c) -2 (d) -1/2 d Let q(i) = 14*i**3 + 16*i**2 - 15*i**3 + 19 - i - 6. Let y be q(16). Which is the third biggest value? (a) -3/5 (b) -5 (c) y b Let n = -1146.6 + 1147. What is the second biggest value in 0.16, n, -27? 0.16 Let p be 8 - 119/28 - (6 + -2). Let o = -2 - -2.6. Let w = -0.4 - o. What is the biggest value in w, 2/11, p? 2/11 Let i = -5119/9 + 569. What is the smallest value in i, 21/8, -0.4? -0.4 Let w = -6 - -10. Let m be 0 + (-3 + -9)/w. Let o be (0 + m)*(-32)/(-24). Which is the smallest value? (a) 3 (b) o (c) -5 c Let q = -0.39 + 0.89. Let r = -1.6 + 1.4. What is the third smallest value in -1, r, q? q Let k = 0.54 - 1.5. Let x = -0.04 + k. Let q be (12/(-8))/(12/(-32)). What is the third biggest value in q, x, 3? x Let o = -6.4 - -6. Let l = -0.1 - o. Let c = 97.75 + -97.95. What is the third smallest value in l, 2, c? 2 Let j be (18/12)/((-3)/(-8)). Let s(p) = -3*p + 48. Let k be s(16). Let o = j + k. Which is the biggest value? (a) 2 (b) 3 (c) o c Let x = -26 - -13. Let h = 13 + x. Let q = -2.9 - -3. What is the biggest value in q, 2/19, h? 2/19 Suppose 14*o = 16*o + 5*p + 12, -3*o - 7 = 2*p. What is the third smallest value in 14, 2, -1/14, o? 2 Let o = 0.25 + -17.25. Let p = o + 17.4. Which is the biggest value? (a) -2 (b) p (c) -1/4 b Let o = 114 + -118. What is the second smallest value in -2, 1, -3/8, o? -2 Let f = 250.5 - 251. Let t = 0 + -2. Let l = -5 - t. What is the second smallest value in f, l, -2/9? f Let f = -0.339 + 0.839. What is the third smallest value in f, 4/5, 0.06, -4/7? f Let d = -6919.7 - -6920. Let m = 7 - 5. What is the third biggest value in -5, -3/5, d, m? -3/5 Let k = 0.03 - 9.03. Let w = k - 9. Let t = 20 + w. What is the second biggest value in 3, t, 1.7? t Let m = 6.97 + 0.03. Let j = -7 + m. Suppose -3*k = 6, -2*k - 3*k = -u + 14. Which is the smallest value? (a) u (b) j (c) -3/2 c Let q = 509.9 - 510. Which is the smallest value? (a) q (b) -3/7 (c) 21 b Let t be (((-21)/(-102))/(-7))/((-4)/16). Let x = t - -5/102. Which is the second biggest value? (a) 3 (b) 0 (c) x (d) 1/4 d Let z = -23.6 - -25.6. Which is the second smallest value? (a) 5/4 (b) z (c) -9/4 a Let u = -0.744 - -0.444. Which is the fourth smallest value? (a) 5 (b) -3 (c) -6.7 (d) u a Let y = 5 + -9. What is the third biggest value in 2/13, y, 0.1? y Let m = -8.4 - -9. Let g = -59/14 + 30/7. Let d = 6/35 -
{ "pile_set_name": "DM Mathematics" }
, 0 = t*z - k - 37. Differentiate -z + 939*y - 971*y - 1 wrt y. -32 Let x(t) = -t**6 + 2*t**3 + t**2 + 3. Let s(p) = 12112*p**6 - 18*p**3 + 2103*p**2 - 27. Let r(h) = s(h) + 9*x(h). What is the third derivative of r(i) wrt i? 1452360*i**3 Let y(f) be the second derivative of -515*f**4/6 + 487*f**3/3 + 1226*f - 1. What is the second derivative of y(j) wrt j? -2060 Let w = -248 + 360. Suppose 0 = -y - 3*u + w, 2*u + 208 = 2*y - 0*u. Find the third derivative of y*v**6 - 12*v**2 - 78*v**6 - 6*v**2 wrt v. 3360*v**3 Let k be -11*(6 - (-1)/(-1 + 0)). Let p = 82 + k. Find the second derivative of 4*l + 19*l - p*l**4 - 52*l + 7*l wrt l. -324*l**2 Suppose -15*w - 184 = -19*w. Find the third derivative of 14*o**5 + 10*o**5 - w*o**2 - 10*o**2 + 2*o**5 wrt o. 1560*o**2 Let z(q) be the first derivative of -q**2 + 0*q**5 + 8*q**3 - 68/7*q**7 + 0*q**4 + 0*q**6 + 0*q - 69. Find the third derivative of z(t) wrt t. -8160*t**3 Find the second derivative of 2577*o - 90*o**4 - 6673*o - 5069*o + o**3 - 3*o**5 wrt o. -60*o**3 - 1080*o**2 + 6*o Find the second derivative of -945*p + 256563*p**2 - 3 - 256567*p**2 + 32*p**3 + 1 wrt p. 192*p - 8 Find the second derivative of 35 + 34 + 25*g + 6*g**2 - 112*g**3 - 21*g - 5*g**2 wrt g. -672*g + 2 Suppose 27 = 5*s + 4*s. Find the second derivative of 2*r**s - 78*r + 34*r - 72*r - 3*r**3 + 8*r**4 wrt r. 96*r**2 - 6*r What is the second derivative of 0 + 3 + 98*d - 10742*d**5 + 6*d + 93*d + 12 wrt d? -214840*d**3 Let j = 102 - 99. What is the second derivative of 138*d**j - 25*d - 60*d**3 + 38*d**3 wrt d? 696*d Differentiate -2539 - 1755 - 50*k**3 - 682*k**4 - 71*k**3 + 119*k**3 with respect to k. -2728*k**3 - 6*k**2 Let u = 81 - 75. Find the third derivative of u*y**2 - 12*y**3 + 9*y**2 - y - 12*y**3 wrt y. -144 Let a(v) = -9*v**3 + v**2 - v - 5. Let i be a(-3). Suppose 249*y = i*y - 31. Find the third derivative of 39*m + 15*m**2 - 39*m + 22*m**2 + y*m**3 wrt m. 186 Let q(t) be the second derivative of -452*t**3/3 - 1981*t**2/2 + 1066*t. What is the derivative of q(n) wrt n? -904 Let g(h) = -6*h - 36 + 22*h - 5*h. Let z(r) = 39*r - 143. Let y(d) = -9*g(d) + 2*z(d). What is the first derivative of y(t) wrt t? -21 Find the second derivative of 6*f**3 + 216*f - 23*f**2 - 8*f**3 + 50*f**2 - 8*f**3 wrt f. -60*f + 54 Let l(g) = 5066*g**2 - 10*g + 7252. Let u(n) = 1689*n**2 - 3*n + 2417. Let h(m) = -3*l(m) + 10*u(m). What is the derivative of h(b) wrt b? 3384*b What is the first derivative of 68 + 232 + 4 + 346*j**4 - 571*j**4 wrt j? -900*j**3 Suppose i - 16 = -i. Let u(d) = 4*d - 18. Let n be u(i). Differentiate n + 2*l**3 + 6*l**3 - 16*l**3 with respect to l. -24*l**2 What is the second derivative of 1425581*g**4 + 1424634*g**4 + 8529*g - 2848898*g**4 + 4*g**3 wrt g? 15804*g**2 + 24*g Suppose -2*b + 52 = 2*h, -82 = -3*h + 5*b - 4*b. Find the third derivative of -2*s**3 - 27 + 224*s**2 - 2*s**4 + h + 4*s**4 wrt s. 48*s - 12 Differentiate 1226 - 256*f**4 + 244*f**4 - 77*f**3 - 3046 - 1870 wrt f. -48*f**3 - 231*f**2 Let d be 2*21/(-6) + -2. Let l(c) = -169*c - 269. Let v(b) = 85*b + 134. Let q(j) = d*v(j) - 4*l(j). What is the derivative of q(w) wrt w? -89 Let n(u) be the third derivative of -u - 1/12*u**4 + 0*u**6 + 0*u**5 + 17/3*u**3 + 0*u**7 - 6*u**2 + 0 - 1/42*u**8. What is the second derivative of n(t) wrt t? -160*t**3 Let u(t) = 10870*t**3 + 17*t**2 - 9*t + 68. Let z(o) = 3624*o**3 + 6*o**2 - 3*o + 22. Let v(f) = -6*u(f) + 17*z(f). What is the second derivative of v(n) wrt n? -21672*n Let w(s) be the third derivative of -5*s**6/24 - 5*s**5/12 - 366*s**3 + 239*s**2. Find the first derivative of w(i) wrt i. -75*i**2 - 50*i Let p(o) = -1016*o**3 + 7*o**2 - 190*o - 21. Let j(v) = 2032*v**3 - 13*v**2 + 394*v + 40. Let m(r) = 6*j(r) + 11*p(r). Find the second derivative of m(d) wrt d. 6096*d - 2 Find the third derivative of 4041*t**6 + 189*t**5 - 3*t**3 + 1091*t**2 - 3760*t**2 - 4045*t**6 wrt t. -480*t**3 + 11340*t**2 - 18 Let j(m) = 217*m**2 - 949*m. Let g(u) = -217*u**2 + 969*u. Let r(p) = -4*g(p) - 5*j(p). Find the second derivative of r(q) wrt q. -434 Let l = -185 - -187. Find the second derivative of -1 - 8 - 21*u**2 - u + 3*u - l wrt u. -42 Let q(k) = 7*k**3 - k**2 - k - 1. Let c(f) = -774*f**3 - 4*f**2 + 115*f - 3. Let w(l) = c(l) - 3*q(l). Find the third derivative of w(u) wrt u. -4770 Suppose -3*f = -0*f - 18. Let k be (-9 - -12) + f/(-9)*-66. What is the first derivative of 45*r**4 - 43 - 4*r + 4*r + k wrt r? 180*r**3 Let b = -170 - -1002. Differentiate b*f + 47 + 107 + 110 - 32 - 551*f wrt f. 281 Let d(n) be the third derivative of n**5/30 - 61*n**4/24 - 6289*n**3/6 - 1043*n**2. What is the first derivative of d(i) wrt i? 4*i - 61 Let x(f) be the second derivative of -f**7/42 - 49*f**5/4 + 255*f**4/2 - 695*f + 1. Find the third derivative of x(c) wrt c. -60*c**2 - 1470 Suppose 5*n - 156 - 84 = 0. Let w = -42 + n. What is the third derivative of 3*f**6 + 8*f**6 + f**w + 2*f**2 wrt f? 1440*f**3 Let l(g) = g**2 - 51*g - 7. Let f be l(51). Let u(s) = 41*s - 168. Let o(j) = 122*j - 506. Let q(m) = f*u(m) + 2*o(m). Differentiate q(a) wrt a. -43 What is the third derivative of -16585*g**2 + 37226*g**2 - 17876*g**2 - 4*g**5 + 317*g**3 wrt g? -240*g**2 + 1902 Suppose 4*j + 0*j - 24 = -2*z, -3*j = -z - 8. Let l = 71 + -69. What is the derivative of 1 - z*a**2 - 4*a**2 - 12 + 3*a**l wrt a? -10*a Let j(m) be the third derivative of -3*m**9/28 + m**8/48 + m**6/60 - 643*m**5/20 + 1042*m**2. What is the third derivative of j(g) wrt g? -6480*g**3 + 420*g**2 + 12 Let s(p) be the first derivative of 0*p**2 + 29/3*p**3 + 5*p + 0*p**5 + 285 + 0*p**4 - 263/7*p**7 + 0*p**6. Find the third derivative of s(d) wrt d. -31560*d**3 Differentiate 4*v - 6*v + 3*v + 241*v**2 + 2*v + 13922 - 8791 wrt v. 482*v + 3 Let j(x) be the third derivative of -1271*x**8/336 - 2393*x**4/24 - 5*x**2 + 200. What is the second derivative of j(r) wrt r? -25420*r**3 Let z(x) = 172*x**3 + 22*x**2 + 5034*x. Let r(j) = -86*j**3 - 10*j**2 - 2521*j. Let g(t) = 9*r(t) + 4*z(t). What is the second derivative of g(d) wrt d? -516*d - 4 Let x = 27325 - 27325. Let i(g) be the first derivative of 21 + 0*g**3 + x*g**4 + 19/5*g**5 + 37/2*g**2 + 0*g. Find the second derivative of i(h) wrt h. 228*h**2 Let p(i) be the second derivative of -19*i**5/24 + 47*i**4/24 + i**3/3 - 3*i**2 - 84*i. Let z(x) be the second derivative of p(x). Differentiate z(b) wrt b. -95 Let r(v) = -13796*v**2 - 10320. Let i(f) = 4599*f**2 + 3445. Let g(d) = 8*i(d) + 3*r(d). What is the derivative of g(m) wrt m? -9192*m Let p(o) be the second derivative of 1127*o**3/3 + 2742*o**2 - 45*o + 18. Find the first derivative of p(k) wrt k. 2254 Differentiate 28242 - 568*s**2 + 28906 - 61603 - 2*s wrt s. -1136*s - 2 What is the second derivative of -2*g**3 - 1319*g - 14*g**3 + 2*g**3 + 194*g + 2*g**3 + 19*g**2 wrt g? -72*g + 38 Differentiate -771*b**2 - 25*b - 37*b**2 + 25*b - 1233 - 96 with respect to b. -1616*b Suppose -5*j + 10 = 0, -3*s = j + 4*j - 862. Differentiate 94*v - 53 - 99 + s wrt v. 94 Let n(s) be the third derivative of 647*s**6/120 - s**5/30 - 466*s**3 - 231*s**2 + 3*s. What is the derivative of n(r) wrt r? 1941*r**2 - 4*r Find the third derivative of -6982*g**2 - 2085*g**4 + 18373682*g**3 - 18373682*g**3 wrt g. -50040*g Let k(m) be the first derivative of 58/3*m**3 + m**2 - 16*m + 18. What is the second derivative of k(i) wrt i? 116 Suppose -4*l + 81 = -103. Find the second derivative of l*z - 7607 + 7607 - 4*z**3 wrt z. -24*z Let d(g) be the third derivative of -g**9/756 - g**6/30 - 7*g**5/30 - 57*g**2. Let w(s) be the third derivative of d(s). What is the derivative of w(z) wrt z? -240*z**2 Let d(p) = 9*p - 16. Let o be d(12). Let f = o + -89. Differentiate f - 3 - 97*w + 112*w + 7 wrt w. 15 What is the third derivative of -1313*x**2 - 717*x**2 - 6613*x**3 + 13463*x**3 - 6696*x**3 + 246*x**2 wrt x? 924 Let o(c) = 7*c**4 - 18*c**2 + 179*c - 4097. Let g(x) = 5*x**4 - 16*x**2 + 172*x - 4098. Let q(w) = 4*g(w) - 3*o(w). Differentiate q(m) with respect to m. -4*m**3 - 20*m + 151 Suppose 0 = -5*p + b + 157, -3*b - 87 = 2*p - 5*p. Find the second derivative of 58*o**2 - p*o - 4*o**2 + 10*o**2 + 82*o + 43*o wrt o. 128 Find the second derivative of 493*f**3 + 116*f + 17*f**2 - 387*f + f**2 - 213*f - 540*f**
{ "pile_set_name": "DM Mathematics" }
Calculate ((-6)/(-18))/((-2028)/(-5220) - 10/25). -29 Calculate (3 - 9) + (110/40 - -2). -5/4 Evaluate 3*((-7 - 9)/(-96) - (-2)/12). 1 Evaluate ((-3)/62)/(-1)*((-1656)/54 - -30). -1/31 Evaluate ((-16)/28)/(435/35)*3/2. -2/29 63/(-357) - (-370)/170 2 550/(-22) + -48 + 38 -35 What is the value of 347/22*2 - (-4368)/(-8008)? 31 What is 7 - 32/4 - (1 + -8)? 6 What is the value of (-10)/45*(21 + 15)? -8 What is the value of (-1380)/1104*(7/(-5) + 2)? -3/4 What is ((1560/100)/(-26))/(1 - 6/5)? 3 What is 14 - 0 - 20544/1536? 5/8 What is 13 - (-564)/(-44) - (68/132 - 3)? 8/3 4/90 - (28 + (-115376)/4140) -2/23 What is the value of (22 - 459/18)/7? -1/2 Evaluate (-1)/5*2 - (8 + (-830)/75). 8/3 Evaluate -69 + 33*196/154. -27 (-6)/9 - 1404/(-162) 8 What is (2 + (-36)/24)/((-4)/(-12))*-16? -24 What is (-93)/20 + (-32)/(-80)? -17/4 Evaluate 40/(-64) + 7475/(-520). -15 Evaluate ((-78)/(-130))/(0 + (-9)/(-120)). 8 Evaluate (-1302)/(-930) - 56/(-10). 7 What is 22 + ((-6755)/210 - -9)? -7/6 Calculate 104/(-3894) + (-918)/(-15147). 2/59 What is the value of (10 - (-490)/(-42))/((-5)/16)? 16/3 (17 + 217/(-14))/((-33)/18 + 2) 9 What is the value of -2 + (6 + (-66)/30 - 1)? 4/5 Evaluate (-15 - 1 - -7) + (-652)/(-72). 1/18 Evaluate -1 + 796/378 + (-2112)/1848. -1/27 Evaluate 4 + (6/(-9))/((-80)/(-492) - 0). -1/10 What is the value of (-54)/(-14) - (-5520)/(-560)? -6 Evaluate (-7)/((-22)/(-2) - (4 - 2261/(-306))). 18 Evaluate 37/(-2) - (-72)/4. -1/2 What is the value of (-693)/(-49) - 6 - (145/35 + -4)? 8 What is (-36)/(-576)*(-66 - 0) - 4/(-1)? -1/8 Calculate (-32)/(-12) + 36/(-297)*-11. 4 What is -42*((-30)/(-35))/2? -18 What is the value of (-8)/76 - (221212/(-18183) - -3*4)? 2/33 What is the value of 6/4*(-25)/(7650/238)? -7/6 Evaluate ((-9)/44)/(15*(-16)/(-1280)). -12/11 Evaluate 5 + -10 + 10 + (-23)/4. -3/4 What is (11/(-33))/((-6)/(-18))? -1 What is the value of (7/((-98)/8)*(-98)/(-140))/(-2)? 1/5 What is ((-616)/(-294) - -2 - 4)/((-3)/28)? -8/9 Evaluate (-5 + (-117)/(-18))/((-42)/532). -19 Evaluate (-42)/(-48) + 645/(-920). 4/23 What is the value of -34*1/(-10) + (-32)/(-20)? 5 Evaluate 4/((-6)/(-4)*32/(-96)). -8 ((-32)/40)/(34/425) -10 Calculate 4 - (-4 + 6) - (11 + 4). -13 Evaluate (-27)/(-1053)*(35/245 - 13/(-7)). 2/39 Evaluate 6/(5 - 2)*(627/66 + -1). 17 Evaluate (42/(-30) - -7) + -6. -2/5 Evaluate -1 + ((-15)/18 - (-23)/6). 2 What is the value of -5 + (-24)/((-24)/8)? 3 (465/(-10))/(-5 + 10 + (-35)/10) -31 What is (-1281)/(-122) - 872/80? -2/5 What is (-139*4/(-60) + -9)*(-9)/6? -2/5 (-50)/175*3*14/(-18) 2/3 Evaluate 666 + -672 + ((-3)/(-4))/((-2)/8). -9 What is 595/425*(-10)/(-28)? 1/2 What is (1 + 9/(-6))*-2*(-226)/791? -2/7 Evaluate (-24)/3 - (-120 - -112). 0 What is the value of 12/9*(-189)/36? -7 Calculate (-476)/(-10098)*-11*(-90)/(-21). -20/9 What is (378/(-1008))/((-2)/4)? 3/4 What is (22 + 846/(-54) + 5)*(-3)/(-1)? 34 39/260 + 378/(-120) -3 What is the value of -4*1148/(-576) + (7 - 6)*-8? -1/36 What is ((-1512)/1728)/(3/72)? -21 Evaluate 5*(-52)/(-65) + -7. -3 Calculate (-2 + 0 + 50/20)*(-308 - -316). 4 What is 13 - (-3 - 3 - (-112)/24)*6? 21 What is the value of -1*(2/(-15) + 98/(-140))? 5/6 What is (65/6*123/(-410) - -3)/(-1)? 1/4 (5/3 - 1)*-30 + 2190/219 -10 What is 14 - (9 + (-3248)/(-656))? 2/41 (-3237)/(-18343) + (-242)/(-170) 8/5 What is (2/(-10))/((-520)/4004) + (-6)/4? 1/25 Evaluate 8282/8888 + 6/(-8). 2/11 Evaluate (21/(-171 - 18))/((-12)/(-18)). -1/6 What is (9/18)/((-212)/16)? -2/53 Evaluate (52/(-36062)*-73)/(0 + -3). -2/57 Calculate (202/(-505))/((-4)/2). 1/5 (-24)/88 - (52059/924)/(-37) 5/4 What is the value of (45/375)/((-2499)/(-490))? 2/85 Evaluate 14*3*((-7072)/224 - -32). 18 26 + 4*(-26)/520 + (-58)/10 20 Evaluate ((-411)/274)/(2/(-12)). 9 Evaluate 7/(-8) - (-169)/169. 1/8 What is the value of (3 - 0) + 1 + 32 + -44? -8 Evaluate 4/(-10) - ((-48)/(-30) - 12). 10 Evaluate ((12/42)/((-46)/805))/(1/5). -25 (-104)/3484 + (-3340)/335 -10 What is the value of ((-7)/(385/(-60)) - 0)*5247/318? 18 Evaluate 2 - (-38)/((-304)/120). -13 What is (1/(-1))/(178/3026)? -17 Calculate (-278)/(-695) + (2 - ((-3)/105 - -2)). 3/7 Calculate (-42 + 38)/(4/10). -10 What is (0 + 8)*(38 + 68/(-2))? 32 What is the value of (-34 + (-5308)/(-156))*(-18 - 3 - -3)? -6/13 Calculate (-4 - 1/(50/(-6) - -8))*0. 0 Evaluate (1/(-3))/((1826/(-1386))/(-83)). -21 17 + 1736/(-104) - -27*(-2)/156 -1/26 What is the value of 124/93*(-8)/8? -4/3 What is the value of -4*(187/(-85))/11? 4/5 Evaluate (-20)/32*(-494)/(-1235). -1/4 What is (-5 - (1 + -7)) + (-7)/9? 2/9 Evaluate ((-570)/(-36))/(-19)*(-62)/(-155). -1/3 Evaluate (9/105)/(171/(-114)). -2/35 Calculate 112/42*(-3 + 4)/(208/12). 2/13 What is (-738)/(-205) + ((-3)/9)/(25/45)? 3 What is the value of (11/2 + (-75 - -64))*6? -33 (-555)/777*2/25 - 1/(-5) 1/7 Evaluate 24*(-40 - (-1771)/44). 6 -10*14*154/1960 -11 Calculate (-1775)/(-150) + 5/30. 12 (1 + 9/(-4))*(2676/135 - 20) 2/9 Calculate (-4)/3*(-504)/(-1120)*(-20)/(-6). -2 What is the value of (-6)/((1725/(-45))/23 + (-26)/(-12))? -12 ((-12)/54 + 14/36)/((-10)/20) -1/3 (-8)/14*(144/162 - 1/9) -4/9 What is the value of 27/(81/14)*(-9)/6? -7 (-1 - 6) + ((-6734)/(-1443))/((-2)/3) -14 612/864 - 2/6 3/8 What is the value of 1 - -4 - 56/(21 - 19)? -23 Evaluate (1614 + -1614)/((-1)/((-1)/(-1))). 0 2/((-56)/525) + 5 - 4/16 -14 What is (3 - -4) + 1260/84? 22 Calculate ((-5)/35 - 0)/((-246)/287). 1/6 (-1)/(54/12 + -5) 2 What is the value of 214/(-112) - 9776/(-4277)? 3/8 Calculate (22 + 6707/(-304))*-30. 15/8 What is the value of (24/(-80))/((-54)/144)? 4/5 Evaluate (2 + 16/(-14))*(-1649)/34629. -2/49 Evaluate -2*((-108)/4500)/((-12)/(-10)). 1/25 Calculate 2/47*(-186 - -185). -2/47 What is the value of 0 + -20 - (-7384)/364? 2/7 What is the value of 1110/4662*6/1? 10/7 Calculate (53 + -51)*(-26)/(-4). 13 Evaluate ((-23)/69)/((-41)/42 - -1). -14 Calculate ((-138)/144)/(-1) + (130/(-12))/13. 1/8 Evaluate (-456)/(-20) + -14 - 9. -1/5 What is 95/(-3420) + (-292)/(-144)? 2 (-4)/11 + -24 + (-4508)/(-176) 5/4 Calculate (-28)/(-21) - (-10)/15. 2 5/4 + 18788/(-19152) + 3/(-19) 1/9 Evaluate (-1 + 5 + 7)*(0 + -1). -11 What is the value of 10*(9/(-6) + -4 + -1 + 6)? -5 Evaluate 40 - (-18 + 54) - 27. -23 ((-728)/208)/((-1)/(4/10)) 7/5 What is ((-116)/(-87))/((-6)/18)? -4 What is (105/(-112))/((-290)/(-116))? -3/8 What is (-19)/((7 + -6)/(4 - 3))? -19 -3 - (-3*(11 - -4) - -11) 31 Calculate 54*((-712)/48 + 15). 9 36/(-96)*-14*18/(-1701) -1/18 What is 1782/1155 - 15/(-25)? 15/7 What is the value of (4998/(-340))/(-147) - (-38)/20? 2 -4*-3*(-16)/96 -2 8/((-105)/10 + (-40)/(-4)) -16 Calculate (-1 + (-21)/(-18))*(-56 + 10146/171). 5/9 (3 - (12/(-18))/((-5)/(-75)))/(-1) -13 Evaluate ((-9)/((-81)/21))/(-1 + (-8)/(-9)). -21 Evaluate (3 - (177/30 - -5)) + (-6)/60. -8 What is -28 - ((-23 - 34) + 12)? 17 Evaluate 17600/(-128)*(-32)/200. 22 Evaluate 6*(-7 - (-15)/(360/128)). -10 (-368)/(-24)*((-528)/32 - -15) -23 Evaluate 248/3348 - (-208)/108. 2 What is the value of -9 + -4 + 13 + 2/2 + -1? 0 (-1260)/(-49) - (-972)/(-567) 24 Evaluate (-36)/27*(-12)/(-16). -1 What is the value of (-2)/((-51 - -45) + (-2)/(-2))? 2/5 9/21 - 9*(-112)/(-1323) -1/3 Calculate ((-11)/(-2) + -4)/((-16500)/(-880)). 2/25 Evaluate (-4 - 473/(-99))*3. 7/3 What is (-2)/((6/(-4) - 1)*6182/(-2810))? -4/11 Calculate 4*342/152 - -10. 19 Evaluate (28/21 - (-16)/(-144))/(1/3). 11/3 Calculate 33/114 + 1032/4902. 1/2 Calculate 27/21 + ((-1740)/(-84))/(-29). 4/7 -3*(114/(-456) + 9/4) -6 ((-71)/(-213))/(-1 - 0) -1/3 Calculate (400/120 + -4)*6/(-8)*6. 3 Calculate 325/(-260)*(-1 + 7)*(-52)/39. 10 What is (-23 - -44) + -12 - (30 - (-3)/1)? -24 Evaluate -6*(-12)/(-27)*36/24. -4 What is the value of 180/324 + (-3598)/126? -28 What is (36/2)/(-3) - (-3)/(-4)*-4? -3 56/(-70)*(351/(-36) - -10) -1/5 What is the value of 4*((-2)/(-8))/((319/(-435))/(-11))? 15 (4/(-6))/(((-2200)/4455)/(-20)) -27 (-10*(-3)/(-14) - -3)*239/(-717) -2/7 What is the value of ((-9)/63)/(7/14)? -2/7 Calculate ((-459)/12)/17*8. -18 (-868)/1736*42*(0 + -1) 21 2/11 + (-943)/3795 + 692/30 23 Calculate 6 + -9 - (-7)/3. -2/3 40/(-192)*(-1924)/185 13/6 What is ((-140)/8)/((-14)/(-4))? -5 What is the value of 3/(-9) + (77/(-132))/(-7)? -1/4 Evaluate -10*(24 - 2892/120). 1 Evalua
{ "pile_set_name": "DM Mathematics" }
) -0.01 f What is the third biggest value in 3/2, -0.4, 1/18542, -1/64? -1/64 What is the second smallest value in -51, -2, -162/317, 1, -0.3? -2 What is the fourth biggest value in -13/5, 0.38, -18, 20? -18 What is the third smallest value in 1, -0.4, 327/682, 0.03, 0.3? 0.3 What is the second smallest value in -0.3, -5, 30.5, 16? -0.3 Which is the fourth biggest value? (a) 2.4 (b) -0.43 (c) 2/3 (d) 8566 b Which is the sixth smallest value? (a) 75 (b) -2 (c) 3/1720 (d) -11 (e) 2/3 (f) -1 (g) -0.2 e What is the fourth smallest value in 0.4, -112409, 0.3, -21? 0.4 Which is the fifth smallest value? (a) 3 (b) 5 (c) -0.2 (d) 28 (e) -0.4 (f) 766 (g) 13/2 g Which is the sixth biggest value? (a) 2/13 (b) -6 (c) 383 (d) 9 (e) -4/3 (f) -259 f What is the second biggest value in -2581, -11, -2/3, -6? -6 What is the fifth smallest value in -8/13, 1, -23, 3/11, 117? 117 What is the sixth biggest value in -1.1, 2/5, -12739, 4, 5, -0.5? -12739 What is the second biggest value in 2/3, 2, -2, -129684, 1? 1 What is the fifth biggest value in 512, 5/4, -2, 82, 0.3, -4? -2 What is the third smallest value in -212, 0, -0.01, -9, 4, -3/5, -3/16? -3/5 What is the third biggest value in 5678, -0.3, 0, 27/26? 0 Which is the fourth biggest value? (a) -0.4 (b) 2/7 (c) -2/133 (d) 4 (e) -162/17 a Which is the third biggest value? (a) -4/11 (b) -27/4 (c) 0.06 (d) -870 b Which is the second biggest value? (a) 0.04658 (b) 0.13 (c) 3/212 a What is the third smallest value in -26, -331227, 6? 6 Which is the third biggest value? (a) 74 (b) 3/2 (c) -113/5 (d) 194 b What is the fourth smallest value in -4, 0.1, -0.1, 3/10, 1/3, 13, 98? 3/10 Which is the fifth smallest value? (a) -1/4 (b) -60 (c) -0.4 (d) -1 (e) 0.01 (f) 784 e What is the fourth biggest value in 1/9, -1, -0.007, -2/7, -1018? -1 What is the second smallest value in 3/2, -55/7, -2739/8, -0.1? -55/7 Which is the biggest value? (a) 1 (b) 42067 (c) -33.3 (d) -1 b What is the second biggest value in -160, 24, 4, -0.34? 4 Which is the second smallest value? (a) -1 (b) 0.52 (c) 17/7 (d) -0.28 (e) -2/7 (f) 0.3 (g) 1 e What is the third smallest value in 3, 574, 0.2, 1, -5, 0, 2? 0.2 Which is the biggest value? (a) 4 (b) 2/9 (c) 743 (d) 2 (e) 2/3 c Which is the biggest value? (a) -1 (b) -136649 (c) -39 a Which is the second biggest value? (a) 4 (b) -147 (c) 159 (d) 2/9 a Which is the sixth biggest value? (a) 11 (b) 1 (c) -5 (d) -3 (e) -0.5 (f) 0 (g) 14/3 d What is the second smallest value in -0.092, 1/4, 5, 1/7, -244/39? -0.092 What is the second smallest value in -1/21, -47, 101? -1/21 Which is the smallest value? (a) 0.3 (b) -0.39 (c) -2 (d) -16/69 (e) 0 (f) -9 (g) 5 f What is the biggest value in -1.1663, -3, -36, -2, 79? 79 Which is the fifth smallest value? (a) -0.18 (b) -0.4 (c) 0.3 (d) 0.1 (e) 2/3 (f) -34780 c Which is the smallest value? (a) -0.4 (b) 0.2 (c) -2 (d) 25014 (e) 1/4 (f) -9 f What is the seventh smallest value in -3/160, 1/5, 105, 14, 1/3, -4, -3/7? 105 Which is the third smallest value? (a) 3 (b) -550073 (c) -4 (d) -0.03 d Which is the third biggest value? (a) -6 (b) 0 (c) 1/158 (d) -0.08 d What is the third smallest value in -0.4, 2.93, -0.2, -905? -0.2 Which is the fourth smallest value? (a) -4 (b) 5 (c) 0 (d) -18 (e) 0.1 (f) -108/85 c What is the smallest value in 60, -14/3, -33, -0.07? -33 What is the second biggest value in 0.79751, 2/11, -17/113? 2/11 What is the fourth smallest value in -11, 0.18, -3, -481.5? 0.18 Which is the biggest value? (a) -0.5 (b) 211885 (c) -379 b Which is the third biggest value? (a) 30 (b) -5 (c) -16 (d) 5 (e) 1/2 e What is the second smallest value in 1/1077, 0.5, -13, -1.63? -1.63 Which is the biggest value? (a) 10244 (b) 1/7 (c) -2/141 (d) 11 a What is the third biggest value in 337, 2/619, -379? -379 What is the second smallest value in 3/5, -4/7, 5, 4, 3/20, -11/2, 3/8? -4/7 Which is the second biggest value? (a) -3 (b) -4 (c) 0.11 (d) -107 (e) 2/5 c Which is the second smallest value? (a) 635 (b) -7/6 (c) 8/31 (d) 1/5 (e) -1 e Which is the third biggest value? (a) 13.8 (b) -3/2 (c) -1/15 (d) -15/238 c What is the fourth smallest value in -147394, -2.4, -5, 3? 3 What is the sixth smallest value in -0.6, -0.001, 907, -1/4, -5, 0.03? 907 Which is the third biggest value? (a) 2/27 (b) 2 (c) -2/209 (d) 1/1773 d Which is the third biggest value? (a) -4 (b) 6 (c) 37.2 (d) -9 (e) -0.006 (f) 2/7 (g) -5 f What is the fifth smallest value in -4.5, 2, -34, -128, 0.1? 2 What is the second smallest value in 6/95, 0.01, -46, 0? 0 What is the sixth smallest value in 2/9, -0.5, -4764, -2, -3, -0.15? 2/9 What is the smallest value in 0, -2.49, 2019, 106, 4? -2.49 What is the sixth biggest value in -4, -0.5, 0.3, 3/5, -285/22, -0.3, -5/2? -4 What is the smallest value in 0, 5.5, 5, 5178, -1.7? -1.7 What is the third biggest value in 0, -43.04, 121/3? -43.04 What is the second biggest value in -372378, 1, -4, -0.03, 0, -3/4? 0 What is the third biggest value in 473, 2/21, -0.2, 1067, 3? 3 Which is the second biggest value? (a) -0.08 (b) 3 (c) 2119 (d) -3/23 b What is the second smallest value in -4, 406.3662, 3? 3 What is the fourth biggest value in 7955/12, 0, 5, 3, 0.05? 0.05 Which is the fourth smallest value? (a) 147.058 (b) -2.7 (c) 11 (d) -4 a Which is the smallest value? (a) 0.07592 (b) -1/5 (c) 180 b Which is the third biggest value? (a) -4 (b) -15 (c) -4262/11 c What is the biggest value in -1/3, 5, 104757, 28/11, -4? 104757 What is the second biggest value in -2, -545, -2/3, -0.4, -20/11, -12, 5? -0.4 Which is the fourth smallest value? (a) 4/7 (b) 12 (c) 3 (d) 3.36 (e) 2 (f) 79 (g) -0.1 c What is the third biggest value in -40, 1.2, 1/5, -371.9, 4? 1/5 Which is the fourth smallest value? (a) -6 (b) -391 (c) 0.1 (d) -0.4 (e) 3 (f) 0.16 c Which is the second smallest value? (a) 1234 (b) -4 (c) 2 (d) 0.3 (e) 2926 d What is the seventh biggest value in 2, 17, 5, -7, 0, 1, -3? -7 Which is the seventh smallest value? (a) -3/7 (b) -0.05 (c) 5 (d) 0.5 (e) 19 (f) 5/119 (g) -3 e What is the second smallest value in 1/2, 0.01, -2, 4, 659, 1? 0.01 Which is the second biggest value? (a) 4 (b) 1 (c) -1/2 (d) 3/4 (e) -17418 (f) 0.4 (g) -0.1 b Which is the fourth smallest value? (a) 253 (b) -13 (c) 2 (d) -2.46 (e) -1 c Which is the second biggest value? (a) 8/21085 (b) -1/6 (c) 0.3 (d) -44 a What is the fourth biggest value in -3/494, -1/4, -0.117, -0.4, -3/4? -0.4 What is the smallest value in 2, -18, -3/208, 1/3, -1, 2/11? -18 What is the fifth smallest value in -4, 0.3, -2145, -1, -1.3? 0.3 What is the second biggest value in 0.563, 3, -3, 0.04, -0.1? 0.563 What is the second smallest value in 5, -0.1, 4, 0.93847, -3/8? -0.1 What is the fifth biggest value in -4, 2/17, 3, -0.1, 7, -392, 5? -0.1 What is the smallest value in -60.899, 5/3, 1? -60.899 What is the biggest value in 11581, 11/3, 54, -1/4? 11581 Which is the smallest value? (a) 1 (b) -82/83 (c) 1/4 (d) 6 (e) 4 b Which is the second smallest value? (a) -5 (b) -0.67512 (c) -0.066 b What is the third biggest value in 20, 1.57, 5.1? 1.57 What is the fifth smallest value in 5, -40, -2, 4771/5, 0.3? 4771/5 What is the sixth biggest value in 1534, -2/7, 0, 4, -2/11, 11? -2/7 Which is the second biggest value? (a) -141 (b) -0.126 (c) -3 (d) -2/7 (e) -8 (f) -0.249 f What is the second biggest value in 952, 962, 0? 952 Which is the third biggest value? (a) 4 (b) -20 (c) -345651 c Which is the biggest value? (a) 2/3 (b) -956 (c) -8 (d) 0.09687 a What is the biggest value in 1/2, 2, 0.4, -0.04, -1/2, 37/6? 37/6 Which is the fifth biggest value? (a) 0.1 (b) 0.06 (c) 23 (d) 2/9 (e) 735 b Which is the fourth biggest value? (a) -5 (b) 5 (c) 2/79 (d) 6 (e) 1/5 (f) 3.847 (g) 0 e Which is the fifth biggest value? (a) 1 (b) -7 (c) -0.09 (d) -4/7 (e) 2281 b What is the third smallest value in -401, 11086, -5? 11086 What is the fourth biggest value in 0, 1.3, -1/1261, 5, -0.1, 0.1? 0 Which is the third biggest value? (a) -0.248 (b) 1/5 (c) 18 (d) -17 (e) 2 b What is the smallest value in -16, 12003/3
{ "pile_set_name": "DM Mathematics" }
-3? 0.5 What is the nearest to -0.3 in 4, -104, -3, -2? -2 What is the closest to -0.1 in 4/45, -1/4, -1, 2/5? -1/4 What is the closest to 1/4 in -6.2, 15, 212? -6.2 What is the closest to -499/6 in -1/4, 0.2, -0.1? -1/4 What is the nearest to -2 in -6/5, -0.1, -24/7, 2, -4? -6/5 Which is the nearest to 0.4? (a) -17 (b) 3/7 (c) 6 b Which is the nearest to -0.3? (a) 104 (b) -222 (c) -1 c What is the closest to 0.04 in 0.01, 3, -0.2, 1552, -3/5? 0.01 What is the nearest to 0.11 in 3/7, 0.23, 3/10, 44? 0.23 What is the nearest to 68 in -2/5, 0, 2/3, 0.1, -3/218? 2/3 What is the closest to -3/4 in 4, -4, 13.7? -4 Which is the closest to -1? (a) 41 (b) 4 (c) 1.8 (d) -0.1 (e) -0.3 e Which is the nearest to 1? (a) 136575 (b) 0.1 (c) 1/5 c Which is the closest to -3? (a) -0.2 (b) -4/29 (c) -3/4 c What is the closest to -2 in -60, 66, 5, 2/7? 2/7 What is the nearest to -0.1 in -0.1, 152, -1/7, -7/3, -0.01? -0.1 What is the closest to -1/22 in 5, 1, 18? 1 Which is the nearest to 1? (a) 26/21 (b) -96 (c) 2/9 (d) -1 (e) -2/7 a What is the nearest to 1/3 in -32, -4/15, -5, -2, -3? -4/15 Which is the nearest to 1? (a) 22/5 (b) -0.5 (c) 217 (d) -0.3 d Which is the nearest to 16? (a) 3/7 (b) 13 (c) -2/7 b Which is the closest to 1? (a) -0.3 (b) -0.05 (c) -26/9 (d) 0.2 (e) -0.9 d What is the closest to 2/5 in 2/3, -14261/4, 1/6, 0.02, -1/7? 1/6 What is the nearest to -0.05 in 1/7, -2, 10/19, -0.4? 1/7 Which is the closest to -533? (a) 550 (b) -4/5 (c) 0.5 (d) -4 d What is the closest to -2/5 in -3/10, 4/7, -1/152? -3/10 What is the nearest to -2 in -0.3, 0.2, -26/15, -5/3, -0.2? -26/15 What is the nearest to 2 in -0.5, 3/8, 15.8, 0? 3/8 What is the nearest to -218 in 2, 0.125, -2? -2 What is the nearest to 1/2 in 32, -5, 0.5, 45, 0.4? 0.5 What is the nearest to 354 in 6/7, -1, 5, -1/3, 0.4? 5 Which is the closest to 0? (a) -276 (b) 1164 (c) 0.1 (d) -3/5 c Which is the closest to 0? (a) -1/10 (b) -1 (c) 5/6 (d) -2/9 a What is the nearest to -0.07 in -33, 0.1, 8? 0.1 What is the closest to -3 in -75, 2/15, 9? 2/15 What is the nearest to -0.034 in 8/13, 0, 0.1? 0 What is the closest to 2/3 in 924, 2, 1, 1/4? 1 What is the nearest to 9 in -4, 0.02, 45? 0.02 Which is the closest to -60? (a) -7 (b) 22 (c) 3 a What is the closest to -11/7 in 3, -27, 2/7? 2/7 Which is the nearest to 0? (a) -22 (b) -2/215 (c) 973 b What is the closest to 2/11 in -489, 3, 2/9? 2/9 What is the closest to 1/17 in 1/4, -0.2, 2, 1, -2/9? 1/4 Which is the nearest to -1/3? (a) 3 (b) -0.5 (c) 15 (d) 781 b What is the nearest to 1.034 in 1/12, -3/5, -1/8, -0.2, 0.4? 0.4 What is the nearest to -0.2 in -6.5, -3, 2/5? 2/5 What is the nearest to -69 in -5, -2/5, -1, -10, 0.001? -10 What is the nearest to -2/9 in 0, -0.3, -0.2, -606635? -0.2 What is the closest to 1 in -6, 323, -10? -6 Which is the closest to -65? (a) 2 (b) -685 (c) 0.4 c What is the nearest to -2.2 in -2/301, 0.4, -0.2, -0.6? -0.6 Which is the closest to -8? (a) -5 (b) 0.5 (c) -75/4 (d) -10 d What is the closest to -0.1 in -3/7, -0.1, -201, 829, -2? -0.1 Which is the nearest to 8? (a) 1 (b) 3/5 (c) 9 (d) 130 c Which is the nearest to -2.2? (a) -0.5 (b) -3/20 (c) 4 a What is the closest to -333 in 0.4, -4/7, -3/2, 2, -6? -6 What is the closest to 0 in -299, 3, 5, 3/2? 3/2 Which is the closest to -8.0692? (a) 1 (b) -0.1 (c) -3 c Which is the closest to -3206? (a) 1 (b) 13 (c) 4 a What is the nearest to 2.9 in 25, 3, 3/13? 3 What is the nearest to 0.1 in 1, -3, 3/46, 0, 21/31? 3/46 What is the closest to 3624 in 1/4, -1/3, 3, -3/2, 0.5? 3 What is the nearest to -2/7 in 3/5, 1, 0.4, 5, -1051? 0.4 Which is the closest to 0.2? (a) 0.01 (b) -0.3 (c) 0.1604 (d) 2 c Which is the closest to -68? (a) 10 (b) -1 (c) 0.3 b Which is the closest to -741/2? (a) 0.1 (b) -0.009 (c) -5 (d) 5 c Which is the nearest to -0.1? (a) 0 (b) -4 (c) -30.1 a Which is the nearest to -0.3? (a) -0.2 (b) -5 (c) -2/11 (d) 0.1286 a What is the closest to 2 in 4, -1, -150, 0.3? 0.3 Which is the closest to 1/59186? (a) 1/2 (b) -0.02 (c) -0.1 b What is the nearest to 0.1 in -0.2, -2.1, 2/13, -1? 2/13 Which is the closest to -3/8? (a) -4 (b) -1/4 (c) 20/3 b What is the closest to -3508 in -1, -11, 0.4? -11 Which is the nearest to -4497? (a) -3/2 (b) -0.3 (c) -5 (d) 0.5 c What is the nearest to 15194 in -1, -0.04, 1? 1 Which is the nearest to 0? (a) 2/9 (b) -0.4 (c) 0 (d) 5 c What is the closest to -1 in -15.24, -2, -4/19? -4/19 What is the closest to -5 in 5, -5, -6/7, -5.79? -5 Which is the closest to 2? (a) -8 (b) 1 (c) -7 (d) 5 (e) -0.34 b What is the nearest to 49 in 3, -117, -0.3? 3 What is the closest to -147 in 166, -2, -2/11, -0.18, 4? -2 Which is the closest to 1/2? (a) 4 (b) -44 (c) -5/23 c What is the closest to 2 in 11, -0.1, 1/11, -0.3, 0.1? 0.1 Which is the nearest to 4/5? (a) -4 (b) -3 (c) 5 (d) 3 (e) 728 d Which is the closest to 1? (a) -25 (b) 13 (c) -0.5 (d) -1/3 (e) 44 d Which is the nearest to 1? (a) -5 (b) -0.2 (c) 2/1791 c What is the nearest to -0.103 in -12/7, -0.5, -0.046, 4? -0.046 Which is the closest to -3.9? (a) 2 (b) 1 (c) -4/21 c What is the nearest to -1/2 in 24, 2/13, 201.2, -0.1? -0.1 Which is the nearest to 0? (a) -6 (b) 0.5 (c) -0.2 (d) -1/4 c Which is the nearest to -0.1? (a) -8 (b) -2/13 (c) 1 (d) 33 (e) -0.9 b What is the nearest to 2/7 in 5, 11, 3, -4, 8914? 3 Which is the nearest to -2/17? (a) 1 (b) -436 (c) 5/3 a Which is the nearest to 59? (a) 0.1 (b) -0.2 (c) 119 (d) 1 d What is the closest to 0.157 in 1/11, -3/2, -2/11, -1/2, 3/59? 1/11 What is the nearest to 1/4 in -4, 2, -1.17, 0.039, -2? 0.039 Which is the closest to -3? (a) -11604 (b) 0.1 (c) 1/7 b What is the nearest to 0 in -3, 2/35, 7, 4, 2? 2/35 Which is the closest to -1? (a) 1 (b) 0.16 (c) -0.4 (d) 11 (e) 1/15 c Which is the closest to -2? (a) -0.0418 (b) 1 (c) 0.08 (d) -3 d Which is the nearest to 1/3? (a) -0.5 (b) -0.4 (c) -68 (d) -1/8 (e) 2 d What is the nearest to -1 in 0.222, 7, -2, 11, -0.4? -0.4 Which is the closest to 4? (a) 14 (b) 5 (c) -2 (d) -0.8 b What is the nearest to -0.05 in 5, 0.4, -4, -31? 0.4 Which is the closest to -33? (a) -5 (b) -4 (c) 183 (d) 2/9 a What is the closest to 96/251 in -4, -0.4, 2/13? 2/13 What is the nearest to 1 in 15/4, -5, -6/11, 3? -6/11 Which is the nearest to 0.21? (a) 2 (b) -1 (c) 0.4 (d) -0.0263 c What is the closest to -0.1 in 1301, 0.1, 10, -0.1, -0.5? -0.1 Which is the closest to -0.021? (a) 42 (b) 24 (c) -1 (d) 2/9 d What is the closest to -2 in -91, 211, -2/11? -2/11 What is the nearest to 2/5 in 469, -0.1, -1/3, -3? -0.1 Which is the closest to -1? (a) -0.2 (b) -26 (c) 0.2 (d) 2/7 (e) 11/4 a What is the nearest to 0.09 in 0.5, -0.7, -118? 0.5 What is the closest to -2/5 in 0.3, -2/13, 5, 7, -0.2? -0.2 What is the closest to -0.1 in -261.5, 5, -3, -6? -3 Which is the nearest to -0.05? (a) -2/17 (b) -1 (c) 4 (d) 179 a What is the closest to 26/5 in -1, 1/6, -76? 1/6 Which is the closest to -24? (a) 7 (b) 4 (c) -0.2 c Which is the nearest to -4? (a) 5 (b) 8 (c) 1 (d) -2 (e) 0.02 d Which is the closest to -2/163? (a) 0 (b) -2 (c) -1.68 a Which is the closest to 1/23? (a) 1/6 (b) 1 (c) -3/4 (d) -1 (e) 11 a Which is the closest to -243? (a) 1 (b) 5 (c) -0.0455 (d) -4 d What is the nearest to 3/5 in -1/2, 2/81, -4, -5, 11? 2/81 What is the closest to -0.1 in -1/4, -6964, 0.4, 0.3? -1/4 What is the closest to 20 in -5/2, -0.1, 3, -0.6? 3 What is the nearest to -2 in -38/11, 5, 2/7, 0.2, 2.95? -38/11 Which is the closest to -0.1? (a) 59.4 (b) -3/5 (c) 1/139 c Which is the closest to 0.5? (a) -2/9 (b) 22 (c) 621 (d) -4 a What is the closest to -0.2 in 0, 1, 0.1, -1/27? -1/27 What is the nearest to -1/4 in 3/7, 0.4, 1/6, -97, 1/12? 1/12 What is the closest to -0.2 in -0.01, -1, -28? -0.01 Which is the closest to -21? (a) 1/3 (b) 4 (c) -0.2 c What is the nearest to 4496 in -6, 0.3, 2? 2 What is the closest to -4 in -6, 4, -4/3, 0.7, 5? -6 Which is the closest to -1/9? (a) -27 (b) -5 (c) 1/6 (d) -0.5 (e) -89 c What is the nearest to -4 in 10, 11, 3/7, -0.5? -0.5 What is the nearest to 2/3 in 1.237, -6/11,
{ "pile_set_name": "DM Mathematics" }
3, -3333009? -3332781 What comes next: 15531, 30984, 46437? 61890 What is the next term in 128762, 257477, 386192? 514907 What is the next term in -961, -905, -833, -745, -641, -521? -385 What is the next term in -700, -5913, -14602, -26761, -42384, -61465? -83998 What is the next term in 12728, 15383, 18038, 20693, 23348, 26003? 28658 What is next in -75643024, -75643027, -75643030, -75643033, -75643036? -75643039 What comes next: -52362, -52374, -52386, -52398, -52410, -52422? -52434 What comes next: -87, -749, -2809, -7077, -14363, -25477? -41229 What comes next: 29496, 29892, 30286, 30678, 31068, 31456? 31842 What is the next term in -359545, -359328, -358965, -358456, -357801? -357000 What comes next: -7880, -5666, -1978, 3178, 9796, 17870? 27394 What is next in 1584, 3216, 4936, 6750, 8664? 10684 What is the next term in 141584, 128514, 106730, 76232, 37020? -10906 What is next in -348, -112, 124? 360 What is next in -13350755, -13350744, -13350733, -13350722? -13350711 What is next in 156157, 156103, 156045, 155983? 155917 What is the next term in -1806545, -1806547, -1806549, -1806551, -1806553, -1806555? -1806557 What is the next term in 636717, 1273415, 1910113, 2546811, 3183509, 3820207? 4456905 What is next in 1365007, 10920782, 36857887, 87366988, 170638751? 294863842 What is next in -260424, -260208, -259992, -259776, -259560, -259344? -259128 What is the next term in 372011, 743961, 1115909, 1487855, 1859799, 2231741, 2603681? 2975619 What comes next: -22, -463, -1720, -4219, -8386, -14647, -23428, -35155? -50254 What is next in -17486, -34274, -51062, -67850, -84638? -101426 What is the next term in -143366066, -143366064, -143366060, -143366054, -143366046, -143366036, -143366024? -143366010 What comes next: 10910417, 21820831, 32731247, 43641665, 54552085? 65462507 What is next in -2593, -9781, -21769, -38557, -60145? -86533 What is next in -290, -3141, -7876, -14489, -22974, -33325, -45536, -59601? -75514 What is the next term in 19316, 38612, 57910, 77210, 96512, 115816, 135122? 154430 What is the next term in -10771, -14489, -18207, -21925? -25643 What is next in 3226, 6355, 9394, 12343, 15202? 17971 What comes next: -58643, -56819, -54995, -53171, -51347, -49523? -47699 What is the next term in 14176, 28929, 43682, 58435, 73188, 87941? 102694 What comes next: -2627677, -5255360, -7883041, -10510720, -13138397, -15766072? -18393745 What is the next term in 74007, 295909, 665711, 1183383, 1848895, 2662217, 3623319? 4732171 What is next in -2662, -10650, -23954, -42568, -66486? -95702 What is next in 4012, 4265, 4678, 5251, 5984, 6877, 7930? 9143 What is the next term in -42033, -42163, -42295, -42429, -42565? -42703 What comes next: -6757, -7123, -7489, -7855? -8221 What is the next term in 3032, 2817, 2486, 2039, 1476, 797? 2 What comes next: 3532, 7563, 11594, 15625, 19656? 23687 What comes next: 2612900, 20903226, 70548398, 167225840, 326612976, 564387230, 896226026? 1337806788 What is next in -1992, -3758, -8464, -17580, -32576, -54922? -86088 What comes next: 10968, 22017, 33050, 44067, 55068? 66053 What comes next: -4021, -8197, -12361, -16501, -20605? -24661 What is the next term in -20297, -20276, -20271, -20282, -20309, -20352, -20411? -20486 What comes next: 244211488, 244211484, 244211480, 244211476, 244211472, 244211468? 244211464 What is the next term in -1072, -3807, -8212, -14287, -22032? -31447 What comes next: 333777, 667529, 1001281, 1335033, 1668785? 2002537 What is next in 933801, 1867602, 2801403, 3735204, 4669005? 5602806 What is next in -832, -10038, -25416, -46996, -74808? -108882 What comes next: 94975, 189963, 284951, 379939, 474927, 569915? 664903 What comes next: 25931103, 51862275, 77793447? 103724619 What is next in -575789, -1151311, -1726833? -2302355 What comes next: -90047, -359733, -809201, -1438445, -2247459, -3236237? -4404773 What is the next term in 311229, 311192, 311121, 311004, 310829, 310584, 310257, 309836? 309309 What is the next term in -64606, -257690, -579496, -1030024, -1609274? -2317246 What comes next: 13260014, 13260004, 13259994, 13259984, 13259974? 13259964 What is next in -6485850, -6485862, -6485888, -6485934, -6486006, -6486110, -6486252? -6486438 What is next in -66362862, -66362861, -66362860, -66362859, -66362858, -66362857? -66362856 What comes next: 52757, 64297, 75847, 87413, 99001, 110617, 122267? 133957 What is next in 9455, 20786, 32117? 43448 What is the next term in 932, 1756, 2570, 3380, 4192? 5012 What comes next: -7698, -16203, -24708, -33213, -41718? -50223 What is the next term in 2725286, 2725251, 2725216, 2725181, 2725146, 2725111? 2725076 What is next in -277047, -553964, -830881? -1107798 What is the next term in 39552, 158133, 355780, 632505, 988320, 1423237? 1937268 What is the next term in 47455, 94783, 142119, 189463, 236815, 284175, 331543? 378919 What comes next: -528, 50, 636, 1230? 1832 What comes next: -329135, -1315185, -2958611, -5259419, -8217615? -11833205 What comes next: 759808, 1519624, 2279442, 3039262, 3799084, 4558908, 5318734? 6078562 What comes next: 45933, 46093, 46545, 47439, 48925? 51153 What is next in 136120497, 272240994, 408361491, 544481988, 680602485, 816722982? 952843479 What comes next: -26, -87, -188, -311, -438, -551? -632 What is the next term in -4732, -27441, -50150, -72859, -95568, -118277? -140986 What is next in -6046788, -12093513, -18140238, -24186963? -30233688 What comes next: 9323951, 9323974, 9323997? 9324020 What is the next term in 383, 1663, 4727, 10469, 19783, 33563? 52703 What comes next: 19342, 74948, 167618, 297346, 464126? 667952 What is next in 374816, 374859, 374898, 374933, 374964, 374991, 375014? 375033 What is the next term in -61737, -62076, -62415, -62754, -63093? -63432 What is the next term in -735, -2990, -6683, -11760, -18167, -25850? -34755 What is the next term in 7340, 45776, 150104, 353270, 688220, 1187900? 1885256 What comes next: -1523, -768, -17, 730, 1473, 2212, 2947? 3678 What is next in -124558, -497547, -1119194, -1989499, -3108462, -4476083? -6092362 What comes next: 30280568, 60561130, 90841692, 121122254, 151402816? 181683378 What is the next term in 85, 698, 1747, 3226, 5129, 7450? 10183 What is next in -13938338, -55753335, -125444996, -223013321, -348458310, -501779963, -682978280? -892053261 What comes next: 2496, 2705, 3274, 4383, 6212, 8941, 12750? 17819 What is the next term in 67634756, 135269506, 202904256? 270539006 What comes next: -447454, -448148, -448842, -449536? -450230 What is the next term in -6222, -5555, -4446, -2901, -926, 1473, 4290? 7519 What comes next: 1869, 2379, 3243, 4461, 6033? 7959 What is the next term in -608, -6419, -23458, -57743, -115292? -202123 What is next in 1540379, 3080989, 4621827, 6162893, 7704187, 9245709? 10787459 What comes next: -6661, -5866, -5071, -4276? -3481 What is the next term in -2300071, -2300359, -2300647, -2300935? -2301223 What is the next term in -4920992, -9842061, -14763140, -19684235, -24605352, -29526497? -34447676 What is next in 175854, 351651, 527448, 703245? 879042 What is next in 28256110, 28256114, 28256120, 28256128, 28256138, 28256150? 28256164 What comes next: -40415, -37720, -35011, -32282, -29527, -26740? -23915 What is next in -3045, -15901, -48379, -110289, -211441, -361645, -570711? -848449 What is next in -49467, -99032, -148595, -198156? -247715 What is next in -35383, -35849, -36315, -36781? -37247 What is the next term in 1330, 7602, 18066, 32728, 51594? 74670 What is the next term in 44186907, 44186909, 44186911, 44186913? 44186915 What is the next term in 68032576, 68032577, 68032578, 68032579? 68032580 What is the next term in 8548590, 8548531, 8548472? 8548413 What is next in -3995, -8249, -12503, -16757, -21011? -25265 What comes next: 1826631273, 1826631274, 1826631275, 1826631276? 1826631277 What is the next term in 2888, 2963, 3038, 3113, 3188? 3263 What comes next: 1443054, 2886185, 4329316, 5772447, 7215578, 8658709? 10101840 What is the next term in 243128353, 243128354, 243128357, 243128362, 243128369, 243128378, 243128389? 243128402 What is next in -2294, -4346, -6398? -8450 What comes next: -637837, -637793, -637689, -637501, -637205, -636777? -636193 What is the next ter
{ "pile_set_name": "DM Mathematics" }
. What is j(0)? 32 Let f(u) = -u**3 + 8*u**2 - 7*u + 6. Give f(5). 46 Let q(c) = 104*c**2 + 1. Give q(-1). 105 Let v(j) = 106*j + 113. What is v(-1)? 7 Let u(o) = 46*o - 91. Determine u(2). 1 Let i(q) = q**2. What is i(6)? 36 Let p(r) = -r**2 - 27*r + 11. Determine p(-26). 37 Let s(c) = -12*c + 82. Calculate s(9). -26 Let n(u) = u**2 - 7*u + 11. Give n(7). 11 Let a(o) = 19*o + 1. Calculate a(1). 20 Let l(o) = -o**3 + 5*o**2 - 5*o - 3. Determine l(6). -69 Let o(n) = n**3 + 4*n**2 - 5*n - 13. Determine o(-4). 7 Let g(o) = 2*o**3 - 2*o**2. Determine g(3). 36 Let s(m) = m**3 - 26*m**2 + 47*m + 5. Calculate s(24). -19 Let o(m) = m**3 - 10*m**2 - 4*m + 43. Calculate o(7). -132 Let b(j) = -3*j**2 - 14*j - 9. What is b(-6)? -33 Let w(f) = -f**3 + 7*f**2 + 12*f - 28. What is w(8)? 4 Let v(y) = 2*y**2 + 23*y + 58. Calculate v(-11). 47 Let q(g) = 2*g**2 + 15*g + 10. Determine q(-6). -8 Let u(h) = -h**3 - 7*h**2 - 6*h + 2. Give u(-6). 2 Let m(c) = -56*c + 843. Determine m(15). 3 Let s(q) = 6*q + 47. Determine s(-9). -7 Let l(x) = -5*x + 6. Determine l(4). -14 Let m(b) = b**3 - 6*b**2 + 7*b - 4. Give m(4). -8 Let c(v) = 7*v**2 + 7*v - 8. What is c(-4)? 76 Let p(x) = 2*x**2 - 27*x - 8. What is p(14)? 6 Let z(v) = v**3 - 2*v**2 - 15*v - 12. Calculate z(5). -12 Let j(m) = -m**3 - 3*m**2 - 9*m - 35. Determine j(-4). 17 Let v(f) = -6*f - 134. Calculate v(-13). -56 Let m(h) = -2*h**2 + 75*h + 207. Determine m(40). 7 Let f(d) = -8*d - 1. Calculate f(-6). 47 Let l(b) = -b**2 + 15*b + 12. Determine l(8). 68 Let r(c) = c**2 + 6*c + 9. Calculate r(-5). 4 Let l(b) = b**2 - 6*b. Give l(7). 7 Let k(m) = m**2 - 22*m - 14. Calculate k(22). -14 Let s(h) = h**2 - 46*h - 94. Calculate s(-2). 2 Let b(j) = 2*j**3 + 9*j**2 + 15*j + 2. Determine b(-2). -8 Let i(s) = -s**2 - 9*s - 10. Calculate i(0). -10 Let z(u) = 2*u - 51. Give z(25). -1 Let o(g) = 17*g - 43. What is o(3)? 8 Let a(b) = 9*b**3 - 4*b + 3. Determine a(2). 67 Let d(y) = -y. Give d(2). -2 Let h(n) = n**3 + 14*n**2 - 17*n - 12. Give h(-15). 18 Let w(z) = -2*z + 11. What is w(19)? -27 Let b(w) = -3*w**2 + 3*w - 2. Calculate b(2). -8 Let n(c) = -4*c - 135. Calculate n(-28). -23 Let h(q) = -2*q + 8. Determine h(7). -6 Let k(f) = 95*f**2. Give k(-1). 95 Let f(c) = -c**3 + 12*c**2 + 16*c + 5. Determine f(13). 44 Let p(u) = u**2 - 11*u + 30. Give p(8). 6 Let v(k) = -k**2 - 3*k. Determine v(4). -28 Let f(x) = -2*x + 5. What is f(3)? -1 Let j(b) = 4*b**2 + 138*b - 66. Calculate j(-35). 4 Let y(m) = 7*m + 23. What is y(-4)? -5 Let s(b) = -14*b - 32. Calculate s(5). -102 Let k(p) = 3*p**2 - 19*p + 34. Give k(2). 8 Let m(z) = z**2 + 8*z + 4. Determine m(-7). -3 Let o(s) = -s + 18. What is o(9)? 9 Let j(w) = -w**2 - 15*w - 2. Calculate j(-12). 34 Let p(k) = 14*k - 27. Calculate p(3). 15 Let g(x) = -x**3 + 10*x**2 + 12*x - 7. Calculate g(11). 4 Let a(f) = -5*f - 4. Determine a(-5). 21 Let g(t) = -t**3 + 14*t**2 + 14*t + 10. What is g(15)? -5 Let y(x) = -11*x - 51. Give y(-5). 4 Let v(h) = -32*h + 174. Give v(5). 14 Let i(r) = 2*r**3 + 12*r**2 + 9*r + 3. What is i(-5)? 8 Let o(i) = -2*i**2 - i - 4. Calculate o(-4). -32 Let j(k) = k**3 + 8*k**2 + 4*k - 2. Determine j(-7). 19 Let w(k) = k**2 + k + 2. Give w(-1). 2 Let u(j) = -j**2 + 16*j - 66. Calculate u(9). -3 Let z(t) = t**2 - 20*t + 71. Determine z(5). -4 Let a(d) = d**2 - 5*d + 17. Determine a(7). 31 Let s(m) = m**2 + m + 7. Calculate s(2). 13 Let q(p) = p**2 - 3*p + 2. Determine q(4). 6 Let c(u) = 3*u**2 + 7*u + 4. What is c(-4)? 24 Let m(w) = 8*w - 32. What is m(6)? 16 Let z(a) = 9*a**2 - 1. What is z(-1)? 8 Let j(v) = v + 21. Give j(0). 21 Let w(i) = -6*i + 32. Calculate w(6). -4 Let i(s) = -s**3 + 12*s**2 - 9*s - 27. Give i(11). -5 Let l(x) = x**2 - x - 11. What is l(6)? 19 Let t(z) = -z**3 + 4*z**2 + 20*z - 26. What is t(6)? 22 Let w(v) = -3*v**2 - v + 2. Calculate w(-2). -8 Let f(i) = 2*i**2 - i - 7. Give f(3). 8 Let x(o) = -7*o + 91. Give x(9). 28 Let x(i) = i**2 - 7*i - 2. Calculate x(7). -2 Let k(c) = -45*c + 5. Give k(1). -40 Let l(g) = -4*g - 27. Give l(-6). -3 Let b(k) = k**2 - 2. Determine b(-3). 7 Let d(g) = g**2 + 16*g + 17. Calculate d(-18). 53 Let d(l) = l**2 + 8*l + 10. What is d(-4)? -6 Let u(v) = -v**2 - 7*v + 21. Determine u(-9). 3 Let v(y) = 9*y - 23. Calculate v(0). -23 Let c(o) = o**2 + 33*o - 196. Determine c(5). -6 Let n(q) = -13*q + 537. What is n(41)? 4 Let h(j) = -j**2 + 7*j + 6. What is h(8)? -2 Let u(d) = -3*d - 83. Calculate u(-34). 19 Let h(a) = -2*a**3 - 30*a**2 + 5*a + 33. Give h(-15). -42 Let m(y) = 2*y**2 - 21*y + 23. What is m(11)? 34 Let u(z) = 13*z + 131. Give u(-11). -12 Let t(p) = -6*p + 149. Determine t(34). -55 Let l(i) = -5*i + 45. Give l(9). 0 Let l(w) = -2*w**2 - 14*w - 16. What is l(-2)? 4 Let h(q) = -8*q**2 - 65*q + 6. Calculate h(-8). 14 Let k(f) = -4*f**2 - 23*f - 8. What is k(-5)? 7 Let h(t) = 58*t + 344. Calculate h(-6). -4 Let w(d) = d**3 - 5*d**2 + 5*d - 5. Determine w(3). -8 Let c(j) = j**2 + 11*j + 41. Determine c(-7). 13 Let g(r) = -r**3 + 12*r**2 - 32*r + 5. Determine g(8). 5 Let f(i) = i - 6. Give f(6). 0 Let o(y) = y - 33. Determine o(23). -10 Let j(r) = 4*r**2 + 7*r + 4. Determine j(-3). 19 Let v(w) = -14*w - 19. Give v(-8). 93 Let g(k) = -9*k**2 - 81*k - 75. Determine g(-8). -3 Let n(c) = 3*c**3 + c**2 + c + 2. Calculate n(-2). -20 Let p(j) = -j**3 + 12*j**2 - 15*j + 15. Give p(11). -29 Let h(d) = 11*d**3 - 2*d**2 - 6*d - 4. What is h(-1)? -11 Let p(i) = -2*i + 2. What is p(-8)? 18 Let k(x) = x**3 - 20*x**2 + 37*x - 23. Give k(18). -5 Let s(o) = 10*o - 3. Calculate s(-4). -43 Let r(o) = o**3 - 9*o**2 - 14*o + 22. What is r(10)? -18 Let w(x) = 5*x**2 + 4*x - 3. Give w(1). 6 Let i(h) = -h**3 - 6*h**2 - 8*h - 3. What is i(-4)? -3 Let b(s) = s**3 + 3*s**2 - 12*s - 3. Give b(-5). 7 Let j(b) = 2*b**2 + 27*b + 126. Calculate j(-11). 71 Let g(v) = -v**3 - 10*v**2 + 6*v + 11. What is g(-11)? 66 Let t(x) = -x**3 + 2*x - 3. What is t(2)? -7 Let f(m) = -17*m - 126. What is f(-7)? -7 Let f(y) = y - 19. Calculate f(6). -13 Let w(z) = z**3 + 3*z**2 - 8*z - 10. Give w(-5). -20 Let r(h) = h**3 - 6*h**2 + 5*h - 4. Calculate r(5). -4 Let w(t) = t**2 + t + 24. Calculate w(0). 24 Let u(p) = -p**2 - 14*p - 1. Determine u(-12). 23 Let c(d) = -4*d**2 + 1. Calculate c(3). -35 Let a(k) = k**2 + 16*k + 52. Calculate a(-10). -8 Let t(k) = 36*k + 836. What is t(-23)? 8 Let i(n) = -2*n**3 - 44*n**2 - 3*n - 61. Calculate i(-22). 5 Let y(p) = -p**2 + 20*p - 121. What is y(11)? -22 Let b(y) = -y**3 - 8*y**2 + 4. Give b(-8). 4 Let y(b) = -b**2 + 22*b + 38. What is y(27)? -97 Let y(d) = -4*d + 147. Give y(24). 51 Let a(t) = -3*t**3 + 1. Determine a(-1). 4 Let x(l) = -l**2 - 12*l - 31. What is x(-6)? 5 Let q(t) = -2*t - 6. Determine q(7). -20 Let u(s) = 2*s**3 - 3*s**2 - 2*s - 7. Give u(3). 14 Let d(z) = -14*z - 63. Determine d(-4). -7 Let u(a) = 3*a**2 + 7*a + 1. Determine u(-6). 67 Let b(h) = 4*h + 3. Determine b(8). 35 Let m(c) = c**3 + 10*c**2 + 9*c + 10. Determine m(-9). 10 Let a(f) = f**3 - 2*f**2 + 2*f - 10. Give a(2). -6 Let q(w) = -15*w + 294. Calculate q(19). 9 Let j(k) = k**3 + 9*k**2 + 6*k + 10. Calculate j(-9). -44 Let b(u) = -u - 8. Determine b(-9). 1 Let r(q) = -q**3 + 15*q**2 - 17*q - 3. Determine r(14). -45 Let a(q) = -2*q**2 + 37*q - 59. Give a(17). -8 Let n(d) = -d**3 - 3*d**2 + 4*d + 2. Calculate n(-4). 2 Let l(m) = -m**2 - 5*m + 7. What is l(-6)? 1 Let i(f) = -f. Calculate i(-11). 11 Let w(j) = -2*j**3 + 4*j**2 + 19*j. Give w(4). 12 Let p(d) = -d + 6. Give p(-3). 9 Let h(f) = f**2 + 6*f. Determine h(-5). -5 Let u(j) = -8*j**2 + 87*j + 11. Give u(11). 0 Let v(f) = f**2 - 39*f + 2. What is v(39)? 2 Let p(m) = 3*m + 71. What is p(-18)? 17 Let z(p) = 3*p**2 + 29*p + 49. Give z(-10). 59 Let v(a) = a**3 + 2*a - 2. What is v(0)? -2 Let u(w) = -4*w + 1. Calculate u(0). 1 Let h(f) = 12*f - 109. Determine h(8). -13 Let c(u) = -2*u**3 - 16*u**2 - 5*u - 12. Give c(-8). 28 Let x(n) = -3*n**2 - 27*n - 61. What is x(-4)? -1 Let l(s) = 2*s + 5. Calculate l(4). 13 Let c(x) = -x**3 + 6*x**2 + 11*x - 11. Give c(8). -51 Let t(r) = r**2 - 12*r + 19. Determine t(10). -1 Let c(j) = -j - 27. Calculate c(14). -41 Let u(l) = l**3 + 6*l**2 + 4*l + 7. Determine u(-5). 12 Let s(d) = 50*d + 317. Calculate s(-6). 17 Let i(z) = -z**3 - 2*z**2 + 3*z + 4. Cal
{ "pile_set_name": "DM Mathematics" }
root of 362245 to the nearest integer? 602 What is 153530 to the power of 1/3, to the nearest integer? 54 What is 512873 to the power of 1/2, to the nearest integer? 716 What is the tenth root of 4157818 to the nearest integer? 5 What is the tenth root of 5593296 to the nearest integer? 5 What is 724247 to the power of 1/3, to the nearest integer? 90 What is 4307288 to the power of 1/6, to the nearest integer? 13 What is 8841 to the power of 1/2, to the nearest integer? 94 What is 303932 to the power of 1/2, to the nearest integer? 551 What is 33042123 to the power of 1/2, to the nearest integer? 5748 What is the square root of 18119994 to the nearest integer? 4257 What is 208895 to the power of 1/2, to the nearest integer? 457 What is the third root of 13445 to the nearest integer? 24 What is 4396441 to the power of 1/10, to the nearest integer? 5 What is the square root of 1604929 to the nearest integer? 1267 What is the square root of 16181693 to the nearest integer? 4023 What is the square root of 412876 to the nearest integer? 643 What is 1488400 to the power of 1/3, to the nearest integer? 114 What is the cube root of 4935787 to the nearest integer? 170 What is the third root of 213438 to the nearest integer? 60 What is the third root of 2273366 to the nearest integer? 131 What is the cube root of 343413 to the nearest integer? 70 What is the square root of 8607345 to the nearest integer? 2934 What is 251780 to the power of 1/3, to the nearest integer? 63 What is 1673242 to the power of 1/8, to the nearest integer? 6 What is the cube root of 210005 to the nearest integer? 59 What is the third root of 2206677 to the nearest integer? 130 What is 102639 to the power of 1/3, to the nearest integer? 47 What is the square root of 5931163 to the nearest integer? 2435 What is the cube root of 524308 to the nearest integer? 81 What is 506134 to the power of 1/10, to the nearest integer? 4 What is 82488 to the power of 1/2, to the nearest integer? 287 What is 780080 to the power of 1/5, to the nearest integer? 15 What is 1234874 to the power of 1/4, to the nearest integer? 33 What is the fourth root of 3740933 to the nearest integer? 44 What is the third root of 29114 to the nearest integer? 31 What is 16269651 to the power of 1/3, to the nearest integer? 253 What is 501378 to the power of 1/3, to the nearest integer? 79 What is 11199134 to the power of 1/8, to the nearest integer? 8 What is 4033966 to the power of 1/6, to the nearest integer? 13 What is 13730112 to the power of 1/4, to the nearest integer? 61 What is the ninth root of 868558 to the nearest integer? 5 What is the square root of 1153766 to the nearest integer? 1074 What is the fourth root of 830400 to the nearest integer? 30 What is the square root of 8915859 to the nearest integer? 2986 What is the ninth root of 105702 to the nearest integer? 4 What is the square root of 43141989 to the nearest integer? 6568 What is 604759 to the power of 1/2, to the nearest integer? 778 What is 211490 to the power of 1/6, to the nearest integer? 8 What is the eighth root of 1820059 to the nearest integer? 6 What is the fifth root of 34459 to the nearest integer? 8 What is the tenth root of 1889020 to the nearest integer? 4 What is the fourth root of 1042170 to the nearest integer? 32 What is the eighth root of 453361 to the nearest integer? 5 What is the cube root of 201014 to the nearest integer? 59 What is the fourth root of 165188 to the nearest integer? 20 What is the sixth root of 169643 to the nearest integer? 7 What is the cube root of 343371 to the nearest integer? 70 What is 15568437 to the power of 1/2, to the nearest integer? 3946 What is 526757 to the power of 1/9, to the nearest integer? 4 What is 2635686 to the power of 1/6, to the nearest integer? 12 What is the square root of 35280706 to the nearest integer? 5940 What is 96182 to the power of 1/2, to the nearest integer? 310 What is the sixth root of 416160 to the nearest integer? 9 What is 201181 to the power of 1/3, to the nearest integer? 59 What is the square root of 1355214 to the nearest integer? 1164 What is 50389 to the power of 1/2, to the nearest integer? 224 What is 6730863 to the power of 1/2, to the nearest integer? 2594 What is the square root of 19109019 to the nearest integer? 4371 What is the square root of 1817702 to the nearest integer? 1348 What is the square root of 1296501 to the nearest integer? 1139 What is the sixth root of 264445 to the nearest integer? 8 What is 6787919 to the power of 1/3, to the nearest integer? 189 What is the cube root of 343325 to the nearest integer? 70 What is 1100054 to the power of 1/9, to the nearest integer? 5 What is the third root of 382776 to the nearest integer? 73 What is the square root of 1220065 to the nearest integer? 1105 What is 124207 to the power of 1/2, to the nearest integer? 352 What is the cube root of 34127370 to the nearest integer? 324 What is 639886 to the power of 1/4, to the nearest integer? 28 What is 1163913 to the power of 1/2, to the nearest integer? 1079 What is 400620 to the power of 1/2, to the nearest integer? 633 What is 560766 to the power of 1/9, to the nearest integer? 4 What is 165411 to the power of 1/3, to the nearest integer? 55 What is the third root of 129436 to the nearest integer? 51 What is the ninth root of 705895 to the nearest integer? 4 What is the cube root of 31778 to the nearest integer? 32 What is 21841195 to the power of 1/8, to the nearest integer? 8 What is 4352 to the power of 1/2, to the nearest integer? 66 What is the seventh root of 1876680 to the nearest integer? 8 What is the eighth root of 5401914 to the nearest integer? 7 What is the cube root of 9638242 to the nearest integer? 213 What is 256791 to the power of 1/3, to the nearest integer? 64 What is 2703053 to the power of 1/8, to the nearest integer? 6 What is 1883637 to the power of 1/4, to the nearest integer? 37 What is the tenth root of 9534 to the nearest integer? 2 What is the tenth root of 33359496 to the nearest integer? 6 What is 118217 to the power of 1/3, to the nearest integer? 49 What is 15517782 to the power of 1/2, to the nearest integer? 3939 What is 323992 to the power of 1/2, to the nearest integer? 569 What is 3388839 to the power of 1/2, to the nearest integer? 1841 What is 49473 to the power of 1/10, to the nearest integer? 3 What is 590612 to the power of 1/2, to the nearest integer? 769 What is 7186864 to the power of 1/6, to the nearest integer? 14 What is 953494 to the power of 1/2, to the nearest integer? 976 What is 20201547 to the power of 1/2, to the nearest integer? 4495 What is 84134 to the power of 1/2, to the nearest integer? 290 What is 19475626 to the power of 1/2, to the nearest integer? 4413 What is the fifth root of 583597 to the nearest integer? 14 What is 3373190 to the power of 1/5, to the nearest integer? 20 What is the cube root of 5029192 to the nearest integer? 171 What is 6332314 to the power of 1/2, to the nearest integer? 2516 What is the cube root of 15727502 to the nearest integer? 251 What is 3025858 to the power of 1/2, to the nearest integer? 1739 What is the third root of 2709914 to the nearest integer? 139 What is the square root of 2842400 to the nearest integer? 1686 What is the third root of 688901 to the nearest integer? 88 What is 1764850 to the power of 1/2, to the nearest integer? 1328 What is 3802693 to the power of 1/3, to the nearest integer? 156 What is the cube root of 9674 to the nearest integer? 21 What is 12114944 to the power of 1/3, to the nearest integer? 230 What is 436172 to the power of 1/3, to the nearest integer? 76 What is 2227558 to the power of 1/7, to the nearest integer? 8 What is the seventh root of 13543257 to the nearest integer? 10 What is the fifth root of 1651453 to the nearest integer? 18 What is the cube root of 78350 to the nearest integer? 43 What is the fourth root of 14180703 to the nearest integer? 61 What is the square root of 91420 to the nearest integer? 302 What is 793790 to the power of 1/2, to the nearest integer? 891 What is the fifth root of 2367392 to the nearest integer? 19 What is the square root of 4025560 to the nearest integer? 2006 What is the squa
{ "pile_set_name": "DM Mathematics" }
False Is 1352 a factor of 788678384? True Is 302 a factor of 423461682? True Is 135661740 a multiple of 94? True Is 190 a factor of 8270804? False Is 17 a factor of 37914216? True Is 122779736 a multiple of 8? True Is 147490475 a multiple of 25? True Does 941 divide 5215426? False Is 49112841 a multiple of 137? False Is 9926 a factor of 4040551427? False Does 533 divide 5575036? False Does 164 divide 45850050? False Is 4525090 a multiple of 197? True Is 43 a factor of 25793851? True Does 3 divide 600265356? True Is 107 a factor of 868206701? False Is 40776656 a multiple of 496? True Is 144054648 a multiple of 18? True Does 1360 divide 1069432279? False Is 59627583 a multiple of 59? True Does 37 divide 1137204? False Is 24885162 a multiple of 4? False Is 48 a factor of 23628000? True Is 207 a factor of 396495873? True Is 2665 a factor of 30310393? False Is 165742846 a multiple of 1242? False Does 12 divide 210208293? False Is 17304066 a multiple of 219? True Does 149 divide 28584607? True Is 16 a factor of 14487600? True Is 6 a factor of 742622130? True Is 746448342 a multiple of 174? True Is 8 a factor of 40302184? True Does 23 divide 1584314179? False Is 268 a factor of 202037409? False Is 39 a factor of 5775627? True Is 552358110 a multiple of 6? True Is 1665685216 a multiple of 26? True Is 18747840 a multiple of 30? True Is 268168511 a multiple of 191? False Does 71 divide 209619477? True Is 1911792825 a multiple of 9025? True Is 69 a factor of 105145926? True Does 32 divide 30939072? True Does 896 divide 1192817997? False Is 103200681 a multiple of 476? False Is 89504792 a multiple of 4? True Is 398097910 a multiple of 10? True Is 13 a factor of 193007661? False Is 184078538 a multiple of 2749? True Is 163035300 a multiple of 60? True Is 4 a factor of 2790048? True Is 122457270 a multiple of 13? True Is 387050558 a multiple of 5971? False Is 990434264 a multiple of 46? False Is 18 a factor of 3838138758? True Is 375 a factor of 48821250? True Does 201 divide 8912340? True Is 18 a factor of 91960884? True Is 81 a factor of 624661956? True Is 17 a factor of 213349286? True Is 4020 a factor of 9816840? True Is 135850168 a multiple of 43? False Is 16664823 a multiple of 191? False Is 222994168 a multiple of 68? True Does 1733 divide 1250267651? True Does 4052 divide 569265399? False Is 15 a factor of 31239444? False Does 16 divide 147030464? True Is 295 a factor of 23961869? False Does 24 divide 4314912? True Does 7 divide 25417718? False Is 912 a factor of 53678496? True Does 777 divide 25766097? True Does 146 divide 31603598? True Does 35 divide 24687334? False Is 1584 a factor of 3230990928? True Is 389760965 a multiple of 827? True Is 34049466 a multiple of 449? True Is 27614014 a multiple of 237? False Is 4097853 a multiple of 3? True Is 44 a factor of 11793240? False Does 373 divide 8361985? False Is 386854683 a multiple of 11? False Is 63 a factor of 27722520? True Is 102 a factor of 27624514? False Does 4268 divide 992613028? True Is 13562184 a multiple of 2? True Does 28 divide 1492585055? False Does 24 divide 155726985? False Is 993272492 a multiple of 5459? False Does 26 divide 450575762? True Is 18 a factor of 30082939? False Is 12 a factor of 513322943? False Is 168 a factor of 258522886? False Is 262 a factor of 105422250? True Is 35238931 a multiple of 26? False Does 10 divide 36805300? True Is 23103526 a multiple of 135? False Is 406758960 a multiple of 5842? False Is 1807 a factor of 28769247? True Is 27 a factor of 1278671581? False Is 1502491 a multiple of 6? False Does 986 divide 24325069? False Is 3343 a factor of 410926709? False Is 989 a factor of 229371256? False Is 61765506 a multiple of 45? False Is 116119432 a multiple of 164? False Is 937 a factor of 1606183783? False Is 19453052 a multiple of 113? False Is 2463 a factor of 173769695? False Does 282 divide 80862936? True Is 88456400 a multiple of 1103? False Is 2310 a factor of 158625390? True Does 660 divide 5881260? True Does 271 divide 28757739? False Is 52773095 a multiple of 109? False Does 427 divide 281417766? True Does 229 divide 17726924? False Is 35 a factor of 1715665209? False Is 23 a factor of 66462674? False Does 45 divide 29191866? False Is 997 a factor of 499159550? False Is 40552422 a multiple of 19? True Is 5828419 a multiple of 3? False Does 15 divide 19163916? False Is 1913469388 a multiple of 1009? False Does 8 divide 22854328? True Is 902 a factor of 3122724? True Is 91 a factor of 24200072? False Is 821 a factor of 15829701? True Does 235 divide 6403651? False Is 444 a factor of 662862252? True Is 1529 a factor of 212356694? True Does 17 divide 12764739? True Is 6029 a factor of 34045763? True Does 273 divide 7859586? False Is 54257425 a multiple of 25? True Does 3628 divide 337691622? False Is 71216408 a multiple of 71? True Does 77 divide 8936144? False Is 36 a factor of 11522686? False Does 413 divide 45969297? False Is 414 a factor of 1821228628? False Is 6 a factor of 10539684? True Is 1047 a factor of 522682901? False Is 721 a factor of 138679303? True Does 9 divide 3945700? False Does 9 divide 9595601? False Is 3 a factor of 45673458? True Does 2749 divide 206801772? True Does 12 divide 3236555122? False Is 96404984 a multiple of 67? False Is 94452491 a multiple of 488? False Does 1447 divide 369391630? False Is 61727737 a multiple of 691? False Is 2386 a factor of 38717622? True Is 50 a factor of 8017850? True Does 233 divide 1904650024? False Does 64 divide 59817984? True Does 298 divide 13735118? True Is 50 a factor of 728980150? True Is 15 a factor of 765219994? False Is 545525990 a multiple of 347? False Is 54768175 a multiple of 4025? True Does 61 divide 103020460? True Is 32244148 a multiple of 1581? False Is 109554979 a multiple of 5? False Is 676552932 a multiple of 253? False Does 1945 divide 2176459? False Is 472163594 a multiple of 4858? True Does 13196 divide 2177630312? True Is 32495967 a multiple of 21? True Is 546047784 a multiple of 92? True Does 28 divide 12673362? False Is 43085066 a multiple of 20? False Does 15 divide 3648131469? False Is 64229316 a multiple of 61? False Is 63335505 a multiple of 15? True Is 49 a factor of 6211240? True Is 4898303 a multiple of 522? False Is 1181 a factor of 996695052? False Is 1771071 a multiple of 14? False Is 34 a factor of 1861300488? True Is 13530425 a multiple of 41? False Does 6666 divide 416498346? True Is 37 a factor of 1242488092? False Is 3 a factor of 10798602? True Is 50 a factor of 16442491? False Is 192697275 a multiple of 38? False Does 208 divide 10564528? True Is 31 a factor of 72301393? True Is 18452542 a multiple of 73? False Is 24 a factor of 243790236? False Is 1693730322 a multiple of 31? True Is 3 a factor of 443230251? True Is 44135257 a multiple of 25? False Is 1101 a factor of 9612834? False Is 25 a factor of 92067231? False Does 2831 divide 1039738539? True Is 978515 a multiple of 107? True Is 439 a factor of 1304486744? True Is 76 a factor of 2332645808? True Is 273312867 a multiple of 3? True Is 96126591 a multiple of 1353? True Is 386 a factor of 23103644? True Is 21051130 a multiple of 158? True Does 10 divide 914118119? False Is 586 a factor of 44618406? False Is 1196 a factor of 126796332? True Does 11 divide 771254940? False Does 2121 divide 43554147? False Is 32962644 a multiple of 396? True Is 99240378 a multiple of 29? True Is 835882846 a multiple of 220? False Does 243 divide 23024589? False Is 23431872 a multiple of 12? True Does 143 divide 4170675558? False Does 28 divide 43100736? True Does 299 divide 20297615? True Is 99162273 a multiple of 1767? True Is 12715920 a multiple of 14? True Is 3935004295 a multiple of 1235? False Is 2269 a factor of 45872373? True Does 211 divide 14009797? False Does 26 divide 10766182? False Is 8 a factor of 33561960? True Is 181793058 a multiple of 1140? False Is 58040629 a multiple of 373? False Is 428 a factor of 290752833? False Is 41 a factor of 236288986? True Is 701529762 a multiple of 647? False Does 18 divide 30157290? True Is 1025 a factor of 72888775? True Is 30157798 a multiple of 9? False Does 22 divide 19820549? False Is 27005230 a multiple of 10? True Is 883 a factor of 122123488? False Is
{ "pile_set_name": "DM Mathematics" }
d. Round d to the nearest 100. 2500 Suppose -3*v + 0*v + 12 = 0. Let r(o) be the second derivative of -o**3/3 + 3*o**2 + 2*o. Let d be r(v). What is d rounded to 0 dps? -2 Let h = 1.17 + -1.317. Let l = 72.8 - 79.753. Let f = h + l. What is f rounded to the nearest integer? -7 Let q = 241.6 + -264.18. Round q to one decimal place. -22.6 Let y = 764 + -763.99998552. Round y to five decimal places. 0.00001 Let r = -23.935 + 0.035. Let p = r - -0.7. What is p rounded to the nearest ten? -20 Let k = 354852 - 221852. What is k rounded to the nearest 1000000? 0 Let u(b) = 32927*b**3 - 2*b**2 - 5*b + 4. Let t be u(3). Round t to the nearest one hundred thousand. 900000 Let a = -0.0048 + -0.0599. Let q = 0.06470261 + a. Round q to 7 decimal places. 0.0000026 Let j = 911.98643 + -912. What is j rounded to three dps? -0.014 Let h = 9.05 - -0.53. What is h rounded to 1 decimal place? 9.6 Let x be 2*(-5 - (-70)/(-4)). Let z be 2 + 96/(-21) - x/(-105). Round z to the nearest integer. -3 Let s = -12485.136 + 12531. Let v = -46 + s. What is v rounded to two decimal places? -0.14 Let u = -18834.9147 - -18836. Let w = u + -1.09. Round w to three decimal places. -0.005 Let b be 0*(-1 + (-2)/(-4)). Suppose -z - 222 - 69 = b. Round z to the nearest 10. -290 Let g = -78 + 94.2. Let r = -16.19999962 + g. What is r rounded to seven decimal places? 0.0000004 Let d = -9926.9 + -110711.1. Let c = d - -120633.60236. Let i = -4.4 - c. Round i to four decimal places. -0.0024 Let u(l) = -l**2 + 7*l + 7. Let n be (12/16)/(1/(-4)). Let i be (9 - -1) + n/1. Let p be u(i). Round p to the nearest integer. 7 Let u = 679397612 - 679396875.999699. Let d = 736 - u. What is d rounded to five decimal places? -0.0003 Let b be ((16/(-6))/(-4))/(26/5118199203). Let n = b + -85835877. Round n to the nearest one million. 45000000 Let s = -7.97 - -8. Let g = s - -0.63. Let h = g - 0.66116. Round h to four decimal places. -0.0012 Let l = -65.1 - -65.10821. What is l rounded to four decimal places? 0.0082 Let d = -35.03 + 36. Let q = d - 12.57. Round q to 0 dps. -12 Let h(r) = -19*r**2 + 24*r - 7. Let v be h(-5). Let j = v + 1502. Round j to the nearest one hundred. 900 Let q = -15.9902 + 16.21. What is q rounded to two dps? 0.22 Let d = 4240841 + -1480850. Suppose 0 = 2*g - 5*g + d. Let u be g - (3 + 24/(-4)). What is u rounded to the nearest 100000? 900000 Let j(w) = w**3 - 17*w**2 + 24*w - 36. Let x be j(15). Round x to the nearest ten. -130 Let n be ((-500)/(-6))/(8/12). Let h = n + -228. What is h rounded to the nearest 10? -100 Let p = 108.795 - 110. What is p rounded to one decimal place? -1.2 Suppose -11*j - 143321753 = -6*j + 2*v, 2*j = v - 57328703. Let x(z) = -2860726*z + 5. Let c be x(6). Let w = c - j. Round w to the nearest 1000000. 12000000 Let b = -6698423 + -35801577. What is b rounded to the nearest 1000000? -43000000 Let v = -880 + -780. Round v to the nearest ten. -1660 Let o = 163 - 251. Let a = 56 + o. Let f = a + 31.99999792. What is f rounded to seven dps? -0.0000021 Let p = -5.5 - 18.5. Let m = p - -12. Let n = -11.99967 - m. What is n rounded to four decimal places? 0.0003 Suppose -4*t - 4*r = 40812, -2*r = -17 + 13. Round t to the nearest 100. -10200 Let s = -3 + 2. Let n(u) = 2*u**2 + 2*u - 4. Let p be n(3). Let y be 135/s*p/(-30). Round y to the nearest one hundred. 100 Suppose -21*z + 7840000 = -19*z. What is z rounded to the nearest 100000? 3900000 Let t(b) = -b**3 - 7*b**2 - b + 11. Let n be t(-7). Suppose n*p + 5700000 = 15*p. Round p to the nearest one million. -2000000 Let i(x) = x + 12. Let h be i(-6). Let l(j) = -58*j**3 - 5*j**2 + 8*j + 5. Let w be l(h). Let b = w - -8355. Round b to the nearest one thousand. -4000 Suppose 62472 = -25*a + 19*a. Let m be ((-5912)/(-3))/((-1)/3). Let t = a - m. What is t rounded to the nearest one thousand? -5000 Let b = 1254 - 1247.085. Let s = b - 7. Let u = -0.0849926 - s. Round u to 6 dps. 0.000007 Let b = 731.8 - 731.80007353. Round b to 5 dps. -0.00007 Let c = 0.0418 - -91.7582. What is c rounded to the nearest ten? 90 Let a(d) = -7480*d - 40. Let o be a(2). What is o rounded to the nearest 1000? -15000 Let g = -202 + 202.002885. Round g to 4 dps. 0.0029 Let z = -144250873.0000052 + 144250916. Let k = -43 + z. Round k to 6 dps. -0.000005 Let y(w) = -3*w. Let q be y(-2). Let h(j) = j**3 - 6*j**2 - 1. Let r be h(q). Let k be (-9)/(r + -2) + 79. What is k rounded to the nearest ten? 80 Let b = -45.96 + 46. Let j = b - 0.0399936. Round j to six decimal places. 0.000006 Let v = 449.01195 - 449. What is v rounded to 3 dps? 0.012 Let h = -7144685.244099782 - -7144544.2441. Let x = -141 - h. Round x to seven decimal places. -0.0000002 Let u = 121.9995378 - 122. What is u rounded to 5 dps? -0.00046 Let m = -6.599999292 + 6.6. Round m to 7 decimal places. 0.0000007 Let r = -4.5 + 4.38. Let x = 0.17 + r. What is x rounded to one decimal place? 0.1 Suppose 2*g - 2898 = 4*m, g - 1105 = m + 346. Suppose -3*h + t = 3056, 2*h + g + 595 = -2*t. Round h to the nearest one hundred. -1000 Let k = -19.57 - 1.03. Let q = k + 2. What is q rounded to 0 decimal places? -19 Let m = -17018024 - -17017931.999846. Let q = m - -92. Round q to five dps. -0.00015 Let z = 123751665257 - 123751664808.000000474. Let x = 449 - z. What is x rounded to seven decimal places? 0.0000005 Suppose 0 = 129*z - 127*z - 16. Let g be z/(-14) - -103312*1/(-14). Round g to the nearest 100. -7400 Let y = 82.200881 - 82.2. Round y to 4 dps. 0.0009 Let b = 0.4736 + -0.586. Round b to 2 dps. -0.11 Let j = -8206182.2495 + 8203317. Let f = -2983.25017 - j. Let d = -118 - f. What is d rounded to four decimal places? 0.0007 Let w = 13248 - 13247.999989651. What is w rounded to 6 dps? 0.00001 Let q be (-10)/35 - (-3 - (-383030)/(-14)). Let n = 69862 - q. Round n to the nearest one thousand. 43000 Suppose -1107601 = -n + 162399. Suppose -5*q - 5*p + 2*p + n = 0, 0 = -q + p + 254000. What is q rounded to the nearest ten thousand? 250000 Let r = 305 - 305.00744. Round r to 3 dps. -0.007 Let k = -0.13756 + 0.129. What is k rounded to 4 decimal places? -0.0086 Let y = 25.89 + 0.11. Let s = y + -9. Let h = -16.1 + s. Round h to 1 dp. 0.9 Let s(w) = 0 + 0 - w - 2. Let l be s(-4). Let k be -1 - (10499999 - l)/3. Round k to the nearest 1000000. -4000000 Let j = -41 + 45. Suppose 22499992 = x + j*x - 2*i, -9000016 = -2*x - 4*i. Round x to the nearest 1000000. 5000000 Let s = -0.007 - 26.993. Let n = s + 26.9. Let z = -0.10000044 - n. What is z rounded to seven dps? -0.0000004 Let g = 435.6 + -312. Let i = g + -102. Round i to the nearest integer. 22 Let u = -144.84 + 2.84. Let g = u + 148.3. Round g to the nearest integer. 6 Let i(w) = 1469893*w**2 + w - 1. Let l be i(1). Let x = -3669893 + l. What is x rounded to the nearest 1000000? -2000000 Let k = -1874 + 1873.9998712. What is k rounded to 4 dps? -0.0001 Let v = 2.12892 - 2.13. What is v rounded to 4 dps? -0.0011 Let c be (-2)/((-24)/(-52))*-213. Suppose -c - 1477 = p. What is p rounded to the nearest ten thousand? 0 Let f(g) = 240178*g + 8. Let t be f(6). Let v = 2117076 - t. Suppose -5*s + s = v. What is s rounded to the nearest 10000? -170000 Let x = 5066.29907 - 5065. Let c = -3.6 + 2.3. Let j = x + c. What is j rounded to four dps? -0.0009 Let z = 3.71 - 0.38. Let d = z - 3.3299723. What is d rounded to 6 dps? 0.000028 Let t = 23.5 - 55. Let k = t - -12. Round k to the nearest integer. -20 Let l = -285 + 285.000000001. Round l to seven dps. 0 Let k = -13819 - -13797.854. Let l = -21.18599856 - k. Let t = 0.04 + l. What is t rounded to 7 dps? 0.0000014 Let g = 10912 + -10911.989681. Round g to three decimal places. 0.01 Let b = -0.4 - 0.6. Let z = 1.19 + b. Let v = 2.31 + z. What is v rounded to the nearest integer? 3 Suppose 8*b = -b. Suppose -4*y + 2*y - 756 = b. What is y rounded to the nearest 100? -400 Let p = 4.7 + -4.69999672. What is p rounded to 7 decimal places? 0.0000033 Let j = -0.029286 - 2.170742. Let b = j - -2.2. Round b to five decimal places. -0.00003 Let i = 1.864 + -1.8644334. Round i to five decimal places. -0.00043 Let t = -0.3818 + 0.40027. What is t rounded to 3 decimal places? 0.018 Let q be 80*(-4306)/(-1)*5/20. What is q rounded to the nearest 10000? 90000 Let b = -102.349 + 102.4. Round b to on
{ "pile_set_name": "DM Mathematics" }
+ -1. Which is the second biggest value? (a) -0.5 (b) y (c) 5/4 (d) u b Suppose 2*s + 4 = 4*j, -2*s - 5 = j - 16. Which is the third biggest value? (a) 0.2 (b) -2.5 (c) j b Let a = -3075.8 - -3076. What is the biggest value in a, -0.3, -3, 33? 33 Let t = -1.14 + 0.14. Let r(d) = -9*d**2 + 540*d - 150. Let x be r(59). What is the third biggest value in x, t, -4/5? t Let o be (7 + -5)/((-7)/((-12873)/(-6))). Let p = o + 612. Which is the fourth biggest value? (a) p (b) -4 (c) -110/7 (d) 2/5 c Let c = 0.04 - -8.96. Suppose -3*q + 4*q = -2*q + 5*j, 0 = j. What is the third smallest value in q, -0.2, 0.5, c? 0.5 Let g = -2.36 - -6.36. Which is the second smallest value? (a) -5 (b) 1.7 (c) g b Let j = -73.6 - -56. Let n = -2.4 + j. Let k = n + 19.9. What is the second biggest value in k, -4, 5? k Suppose 0 = 4*a - 3*g - 2, 5*a - 5 = 9*g - 4*g. Let s be -1 - (18/(-6) - a). What is the fourth smallest value in 0.3, 0.06, 1/7, s? s Suppose -254*z - 14 = -251*z - 4*q, -4*z = -3*q + 14. Which is the fourth smallest value? (a) -3 (b) -271 (c) z (d) -5 (e) 0.5 c Let o be (-24)/(-20)*(-3)/(-6)*5. Let z = 4932/5 + -987. Which is the third biggest value? (a) -0.1 (b) z (c) o (d) 0.7 a Let l(x) = -x**3 + 8*x**2 + 5*x - 5. Let h = 16 + -8. Let z be l(h). Let u = -34 + z. Which is the second smallest value? (a) 0.3 (b) u (c) 7/2 b Let v = -1431.3 + 1431. Which is the second biggest value? (a) -5/3 (b) 0 (c) v (d) -2/43 (e) 1/2 b Let u = -11488/9 + 57413/45. What is the smallest value in 5, 0, -5/6, 29, u? -5/6 Let i = 256.3842 + 0.6158. Which is the smallest value? (a) 2 (b) 0.3 (c) i b Let z = -27934.93 - -27935. Which is the third biggest value? (a) -8 (b) -6 (c) z a Let w be ((-402)/568)/(-3*2/(-4)). Let p = -2/71 + w. Which is the second smallest value? (a) -1 (b) p (c) -6 a Let v(c) = -101*c - 6. Let l be v(-1). Suppose -40 = 9*f + l. Let a = -5/4 - -19/12. What is the biggest value in -0.3, a, f? a Suppose -2*p + 4*y - 10 = 14, 2*p - 3*y = -19. Let i(s) = -2*s + 8. Let m be i(6). Which is the second smallest value? (a) -5 (b) m (c) 1 (d) p b Let f = -3.959 - 0.041. Let z be (282/(-1645))/(4/(-150)). Which is the biggest value? (a) f (b) z (c) -3/7 b Let s be (214/(-749))/((-1)/(-77)). Which is the third biggest value? (a) -0.1 (b) -5 (c) s c Let i = 62.58 - 69.58. What is the second smallest value in 0.12, i, -4? -4 Let l = -11170 + 10859. Which is the smallest value? (a) 0.5 (b) 0.2 (c) l (d) -3/5 c Let j = 11 + -8. Let h = -1.176 - -1.376. Which is the fourth smallest value? (a) j (b) -0.01 (c) h (d) -0.4 a Let f be 4/(-35) - 2/(-5). Let q be -83 - ((-4)/(-14) - 76/(-28)). Let x = 87 + q. Which is the second smallest value? (a) 2 (b) f (c) x c Let k be 8/70 + (-6)/15. Let v = 50 - 50.07. Let r = 0.43 - v. What is the smallest value in r, k, 1/3, -1/2? -1/2 Suppose 5*d = d. Let t = -3.275 + 0.275. Let b be (-21)/(-49)*(0 + (-7)/2). What is the fourth biggest value in -1/6, t, b, d? t Let r = -547/9 - -61. Let y = -1651 + 1633. Which is the fourth smallest value? (a) r (b) 0.5 (c) -0.2 (d) y b Let j = 104 - 730/7. Let s(t) = -t**3 + t - 2. Let g be s(0). Let o be -1*(3/63 - g/7). Which is the biggest value? (a) -2 (b) -3/2 (c) o (d) j d Suppose -29 = -9*y - 29. Let j be y/1 + -9*3/(-162). Let r = 156/365 + -2/73. What is the fourth biggest value in -7, r, j, 4? -7 Let d = 467/141 - 10/3. Let v = d - 83/517. Which is the third biggest value? (a) -47/3 (b) v (c) -2 a Let j = -0.06712 + 0.06712. What is the second biggest value in -32, j, -2/17, 0.4? j Let q = -22 + 39. Let r = -2.25489 + 3.25489. Let d = 3.5 - 0.5. What is the fourth biggest value in q, d, -1, r? -1 Let t = -83 + 152. Let k = -415/6 + t. Let l = -0.06 + 0.06. Which is the third smallest value? (a) l (b) 4 (c) k b Suppose -5 + 7 = 2*t. Let m = -11 + 6. Let g be (-1)/(-15*(-26)/195). Which is the fourth smallest value? (a) 8 (b) t (c) g (d) m a Let o be (3388 - 3404) + 284/18. Suppose 0 = 4*h - 7*h - 21. What is the second smallest value in 5, h, 2, o? o Suppose -3*z - 2*k = 1628, -2710 = 5*z - 9*k + 13*k. Let p be 278/z - 60/(-130). Which is the biggest value? (a) 1 (b) p (c) -1/6 a Let k be ((-920)/30)/(13/156). Which is the third biggest value? (a) k (b) 0.4 (c) -1/4 a Let z = 2745 - 2747. Which is the third smallest value? (a) 4 (b) z (c) -94/25 a Let o(v) = -3*v**2 + 9*v + 4. Let p be o(4). Let n be 4 - -3 - p/4. Let t = n + -6. Which is the second biggest value? (a) 1/22 (b) t (c) 0.3 c Let r be 6/(-4)*60/27 + 4. Let h = 13.18 + -13.22. Which is the biggest value? (a) h (b) r (c) -1/4 b Let b = -1.2 + 1. Let p = 2 - 2.1. Let x = -0.217 + 0.067. What is the biggest value in x, b, p? p Let j = 3593.8 + -3594. What is the smallest value in -30, j, 1/4? -30 Suppose -38 = 3*j - 11. Let r(g) = g**2 + 2*g - 66. Let d be r(j). Let m = 4 + -1. What is the smallest value in m, d, -0.5, 2/7? d Let t be (-5)/(-55)*(-2)/2. Let u = 518 - 513. What is the third smallest value in -5, t, u? u Suppose -14*n - 209 - 169 = 0. Let b = n - -192/7. Let f = -1.1 + 1.2. What is the smallest value in -1/2, f, b? -1/2 Let x be (-56)/26 + 2 + 0. Let t = -20 - -145. Let u = t + -124.9. What is the fourth biggest value in 0.4, 0.5, x, u? x Let k = 0.032 + 0.008. Let h = k - -0.01. Let u = 0 + h. Which is the smallest value? (a) 1 (b) u (c) 0 c Let j = -88 - -83. Let m = 23 - -7. Let x be (m/(-40))/((-30)/32). Which is the third biggest value? (a) -2 (b) j (c) x b Let w = -343.589 + 0.589. Let d = 341 + w. Which is the third smallest value? (a) 46 (b) 1 (c) d a Let m be (-85)/75 - 70/(-525). What is the smallest value in m, 2/29, 0, -0.3? m Let q = -0.47 - -0.17. Let y = -148 - -148. Suppose 3*b = -5*f + 4*f + 2, 5*b - 8 = -4*f. What is the second smallest value in q, y, f? y Let o(v) = -v - 4. Let h = -22 + 14. Let n be o(h). Let j = 0.009 + -3.009. What is the third biggest value in -1, j, n? j Let p = 104.68 + -104.48. Which is the third biggest value? (a) -2/13 (b) 4 (c) p (d) -4.9 a Let m be (-203)/98 + 4/7. Let q = 79 + -77. Let z be q - -3 - (2 - -2). Which is the second biggest value? (a) -0.1 (b) z (c) m a Let v = 26603 + -26598. Let i = -65/88 + -1/88. Which is the second smallest value? (a) 0.06 (b) v (c) i a Let p be (2 - 0)/((-5)/(-15)). Let r = -5 - -5. Suppose -2*v - 2*v = r. What is the smallest value in -1/5, p, v? -1/5 Let h be 4/(-14) - 1582/(-49). Suppose -7*b + 6 = -i, 5*b - 11 + 5 = i. What is the biggest value in b, 1, h? h Let q = -7982 + 87800/11. Which is the smallest value? (a) -2/5 (b) -9 (c) 1 (d) -1/4 (e) q b Let x = 9161 + -9160.6. Which is the fifth biggest value? (a) -0.08 (b) -3 (c) -5 (d) x (e) 2 c Let i be (-3)/(0 + 102/(-4)). Let p be 435/(-290) + (-2 - 3) + -7 + 11. Which is the fourth smallest value? (a) i (b) -3 (c) p (d) -5 a Let w be 38/(-8) - (-7)/(-28). Let h be 1/(-374)*(-1093 + 7). Let l = 54/17 - h. What is the second smallest value in l, 0.5, w? l Let w = 64.86 + -3.86. Let s = -61 + w. Let k(o) = o**3 - 3*o**2 - 2*o + 2. Let l be k(3). Which is the third biggest value? (a) 2/3 (b) l (c) s b Let s = -2370 + 2375. Which is the third biggest value? (a) s (b) -13 (c) -1.3 b Let s = -14785/2 + 398963/54. What is the biggest value in s, 2/5, -1/12? 2/5 Let d = -0.104 - 17.896. Let u = 17.98 + d. Let t = -2.9 + 3. What is the smallest value in u, -1/12, t? -1/12 Let j = 4773 + -4786. What is the smallest value in -3, j, 10, -4? j Let d be -1 - 4 - (-1364)/275. What is the third biggest value in -2, d, 0.5? -2 Suppose -6*d = -56 + 50. What is the smallest value in d, -278, -0.5? -278 Let b = -0.24 + -0.06. Let y = 4.7 - b. What is the second smallest value in y, 17, -2? y Let k = 586.6 + -586. Let w be ((-55)/(-6))/(-5) - 6/9. What is the third biggest value in w, 2, k? w Let u = -867.04 - 35.96. What is the third smallest value in u, 3, -5? 3 Suppose -4 = -3*k + n, -3*k + 2*n - 55 = -63. Which is the biggest value? (a) k (b) 1 (c) 1.7 (d) -21 (e) -2 c Let n = -27 + 29. Let d = 0.71 - 0.884. Let f = 0.074 + d. Which is the biggest value? (a) -5 (b) n (c) f b Let q be ((-1)/(-3))/1 + -1. Suppose -29*p - 1804 = -1891. Which is the thir
{ "pile_set_name": "DM Mathematics" }
m = 39 - 38.88. Round m to 2 decimal places. 0.12 Let j = -68.000086 + 68. What is j rounded to 5 decimal places? -0.00009 Suppose -3*x + 3*y = 2*y + 27, -2*x - 4*y = 18. Let q be x/18*388/(-2). What is q rounded to the nearest 10? 100 Let p = -109816 - -109816.138114. Let m = p - 0.138. Round m to five dps. 0.00011 Let f be (-2 - 0)*(-5)/2. Suppose 336015 = 2*w + w + 5*o, f*w = -2*o + 560006. What is w rounded to the nearest ten thousand? 110000 Let w = -532.995 + 529. Let t = 0 - 4. Let k = t - w. What is k rounded to two dps? -0.01 Let x = 464773.767769 + 128618.931501. Let t = -593382 + x. Let b = -10.7 + t. Round b to 4 decimal places. -0.0007 Let i = 0.042 + -0.1. Round i to two dps. -0.06 Let a = 100292.2458 + -100231.2458117. Let y = 61 - a. Round y to 6 decimal places. 0.000012 Let w(r) = -225001*r + 5. Let v be w(4). Let l be -1 + -2 + 4 - v. Round l to the nearest one hundred thousand. 900000 Suppose 5*m - 176061 = 4*h + 558950, 147005 = m + 2*h. Suppose 3*v = -3*r + m, -4*r - 2*v + 195995 = -7*v. Round r to the nearest ten thousand. 50000 Let p = -1058324 + 538324. Round p to the nearest one hundred thousand. -500000 Suppose -3*r = -0*r + 42. Let k = -10 - r. Let v(h) = -8*h**2 - 3*h - 3. Let y be v(k). Round y to the nearest ten. -140 Let q = 4.7 - 4.32. Let w = 0.02 + q. What is w rounded to 1 dp? 0.4 Let v = 0.03 - -0.22. What is v rounded to one dp? 0.3 Suppose 0 = 7*v - 2*v - 20, 2*v - 8 = c. Suppose c = k + b - 5400005, -2*b + 16200025 = 3*k + 3*b. Round k to the nearest 1000000. 5000000 Let v be (1200/7)/((-1)/28). Round v to the nearest 1000. -5000 Let k be (-1 - 14)*(-2)/3. Let i be 39490/50 - (-2)/k. Round i to the nearest 100. 800 Let d = 388436 + -388436.0330062. Let m = d - -0.033. Round m to 6 dps. -0.000006 Let k = 0 - 0.0000008. What is k rounded to 7 decimal places? -0.0000008 Let i = 2840022 + -2831975.9076. Let f = i + -8050. Let z = -3.9 - f. What is z rounded to 3 decimal places? 0.008 Let j = -104.8 + 6.8. Let p = -0.213 - -91.913. Let s = p + j. Round s to the nearest integer. -6 Suppose 15*s + 569844376 = 76344376. Round s to the nearest one million. -33000000 Suppose 4*i = -z + 2*z + 11, -2*i + 16 = -4*z. Suppose -41167 - 86833 = i*p. Round p to the nearest 10000. -60000 Let b = -3.3 - 15.7. Let z = b - -18.99999979. What is z rounded to seven decimal places? -0.0000002 Suppose -5*g = -g - 16760. What is g rounded to the nearest one hundred? 4200 Let c = -284.6 - -399. Let z = 106 - c. What is z rounded to zero decimal places? -8 Let d(z) = z**3 - 6*z**2 - 8*z - 13. Let u be d(7). Let k be (6/4 - 0)*u. What is k rounded to the nearest 10? -30 Let d = -0.3999752 - -0.4. Round d to six dps. 0.000025 Let x = 247 + -246.879. Round x to one dp. 0.1 Suppose 4*f - 21 = 3. Let p be ((-12500)/(-3))/(f/(-792)). Round p to the nearest 100000. -600000 Let r = 2.7 - 2.689. Round r to 2 dps. 0.01 Let t(q) = -9920*q**3 - 4*q + 20. Let v be t(5). What is v rounded to the nearest one hundred thousand? -1200000 Suppose 4*z = 16361 + 7639. Round z to the nearest one thousand. 6000 Let c = 96 - 56. Let a = c - 3. Let k = a + -28.7. What is k rounded to the nearest integer? 8 Let y(u) = -3 - 2 + 61525*u + 1. Let c be y(4). Suppose -4*w = c + 1904. What is w rounded to the nearest 10000? -60000 Let l = -26 - -31.8. Let q = l - 0. Round q to zero dps. 6 Let c = 1.0590959 - 0.81909556. Let k = 16 - 15.76. Let g = k - c. What is g rounded to seven dps? -0.0000003 Let l(x) = 2*x - 5. Let h be l(5). Let s(i) = 8474997*i + 12. Let b be s(4). Suppose -2*k + h*k = -b. What is k rounded to the nearest 1000000? -11000000 Let h = 166.715057 - -0.353943. Let g = -10 + -157. Let n = h + g. What is n rounded to two dps? 0.07 Suppose 0 = -18*o + 19*o - 12. Let q be 98997 + -4*o/(-16). What is q rounded to the nearest 10000? 100000 Let r be 2 - ((-1580001)/(-1) + 1). Round r to the nearest one hundred thousand. -1600000 Let y = 14.7 + -15. Round y to the nearest integer. 0 Let q be 19/3 + (-6)/18. Suppose 2*k = q*k - 2668. Let b = -227 + k. Round b to the nearest one hundred. 400 Let q = -0.96 + -0.04. Let w = -1.4 - q. Let f = w - -0.39976. What is f rounded to four decimal places? -0.0002 Suppose -y - 3615 = 4*t + t, 4*y - 4*t + 14388 = 0. Round y to the nearest 1000. -4000 Let t = -1.15 - -1.14869. What is t rounded to four decimal places? -0.0013 Let t = -1.45 + -0.05. Let v = t + 1. Let s = -0.49999993 - v. What is s rounded to 7 decimal places? 0.0000001 Suppose 3*l = -1 + 7. Suppose -3*o = -5*a, 0 = 3*a + o + l*o. Suppose a*k = k. Round k to the nearest ten. 0 Let f = -602 - -329. Let x = -63 - f. Suppose 0 = y - 2*y - x. What is y rounded to the nearest 100? -200 Let t(h) = h**2 + 9*h + 5. Let l be t(-8). Let j(z) = 49*z - 3. Let r be j(l). Let c be r/3*480*5. What is c rounded to the nearest one hundred thousand? -100000 Suppose -8 = -0*x - 2*x. Suppose x*r = -0*r + 1023920. Suppose 0*d - 4*d + 4*w + 256020 = 0, -4*d = 4*w - r. What is d rounded to the nearest ten thousand? 60000 Let x(d) = -d + 2*d**3 + 4*d**3 - 5*d**3 + 5403819 + 3696181. Let w be x(0). Round w to the nearest one million. 9000000 Let s = -2242.7 - -2126. Let i = s - -112. Let f = i + 4.69999954. What is f rounded to seven dps? -0.0000005 Let a(y) = 2 - 512026*y - 323140*y - 714835*y. Suppose m + 3*m = 8. Let p be a(m). What is p rounded to the nearest one million? -3000000 Suppose -2*c + 10 = 0, -5*i - 5*c = 58126 + 110849. Round i to the nearest one thousand. -34000 Let o = -69 - -68.31. Round o to 1 dp. -0.7 Let l = 7.67205 + -5.7086. Let v = 0.563518 - l. Let b = v + 1.4. Round b to five dps. 0.00007 Let i = -0.0779 + -348.9221. Let c = 570 + i. Let j = c - 220.999911. What is j rounded to 5 decimal places? 0.00009 Let u = -19 + 21.7. Round u to zero dps. 3 Let s = -24.999949 + 25. What is s rounded to 5 decimal places? 0.00005 Let p = -5.5 + 5. Let i = p + 2.5. Let m = 3.25 - i. What is m rounded to one decimal place? 1.3 Suppose 0 = 3*v - 5313 - 2877. What is v rounded to the nearest one hundred? 2700 Let b = -1.05 - -1.1. Let u = b + -0.11. Let p = 0.060008 + u. Round p to 6 decimal places. 0.000008 Let u be (-7 - -4)*(0 + -1). Suppose 2*n + 0*n + u*g = -141, 2*g + 325 = -5*n. What is n rounded to the nearest 10? -60 Let j = -10.7 - 3.7. Let r = 20 + j. Round r to 0 dps. 6 Let q = -3.03 - -0.03. Let h = -503.999 - -501. Let m = q - h. What is m rounded to three dps? -0.001 Let v = 212047.4225 + -212104.42249949. Let q = -17 - -74. Let c = v + q. What is c rounded to 7 decimal places? 0.0000005 Let c = -110 - -109.907. Round c to two decimal places. -0.09 Let v = 14 + -14.0028. Let c = 47.1972 - v. Let w = -39 + c. What is w rounded to the nearest integer? 8 Let y = -0.52012 - -0.2201192. Let z = y - -0.3. Round z to six decimal places. -0.000001 Let q = -2.3 - -2. What is q rounded to zero dps? 0 Let n be (-42)/(-35)*(0 + 5). Let i = n + -3. Suppose -2*p = 4*f + 460020, i*p + 5*f + 230025 = 2*p. Round p to the nearest 100000. -200000 Let v = -2.099974 - -2.1. Round v to 6 decimal places. 0.000026 Let y = -4 - -2.1. What is y rounded to zero dps? -2 Let b(c) = 1591*c**2 - 11*c + 10. Let i be b(-17). Suppose u = d - i, -2*u = -5*d + 654382 + 265598. Round u to the nearest one hundred thousand. -500000 Let p = 31 + -31.59. What is p rounded to 1 dp? -0.6 Suppose 0 = 4*c - 3*c - 2. Suppose -24 = -c*x - 2*x. Let m be 3/(-2)*244000/x. Round m to the nearest ten thousand. -60000 Let h = 59930 + -59406.82. Let o = 513.1698 - h. Let t = -10 - o. Round t to three dps. 0.01 Let p be 1 + (1 - (-2)/2). Suppose -p*x - 2*i - 51383 = 0, -4*x - 2*i = 3*i + 68506. Let o = 29629 + x. Round o to the nearest one thousand. 13000 Let y = -187.99919 - -188. What is y rounded to 4 dps? 0.0008 Let x = -40.4 + 39.515. What is x rounded to 1 decimal place? -0.9 Let q = -178 - -160.8. Let u = q - -19. Let s = u + -1.7989. What is s rounded to three decimal places? 0.001 Let b = 13.0000037 - 13. What is b rounded to six dps? 0.000004 Let j be (-88000002)/(-8) + (-7)/28. Round j to the nearest 1000000. 11000000 Let t = -121.7 + 139. What is t rounded to the nearest integer? 17 Let s = -307950 + 1567940. Suppose -3*d = -4*d + 5*c - s, d - 4*c + 1259992 = 0. What is d rounded to the near
{ "pile_set_name": "DM Mathematics" }
**5 Expand (2*d + 5 - 5)*((0 + 0 + 2)*(-d - d + 3*d) - 3*d - 3*d + 5*d - 10*d + 7 - 7). -18*d**2 Expand (-2 + 1 + 2)*(5 + 0 - 3)*(-12*a**5 - 2*a**5 + 2*a**5 + a**5 + 3 - 3 + (3*a - 3*a + a**2)*(0*a**3 - a**3 + 2*a**3)). -20*a**5 Expand -2 + 4 - 2 - 3*n + (0*n + 5*n - 4*n)*(-1 + 0 + 3). -n Expand (2*p**3 - 6*p**3 + 2*p**3)*(-p - 18*p - 7*p). 52*p**4 Expand (2*z**4 + 4 - 4)*(201 - z - 199 - 2*z). -6*z**5 + 4*z**4 Expand (4*b - b - b)*(-4*b**2 + 4*b**2 - 2*b**4) + 3*b**5 + 3*b - 3*b + (2*b - b**2 - 2*b)*(0*b - b**3 + 0*b) + 2*b - 2*b + b**5. b**5 Expand (3*k - 3*k - 3*k**2)*(-23 + 23 + 6*k). -18*k**3 Expand (-a + a + 5*a)*(-4*a - 1 + 2*a + 4). -10*a**2 + 15*a Expand (-3 + 3 + v)*(0*v - 2*v + 8*v)*(-1 - 1 + 3). 6*v**2 Expand (4 - 3 + 1)*(3 - 3 - 1)*(-1 + 6 + 2)*(-2*n + 0*n + 5*n). -42*n Expand (0 + 0 + 1)*(3*u - u - 7*u). -5*u Expand (0 - 1 + 13*h - 9*h)*(-2 - 2 + 3). -4*h + 1 Expand (3*t**3 - 2*t**3 + 0*t**3)*(0*t - 2*t + 0*t) - 3*t**4 + 4*t**4 + 0*t**4 - 3*t - 8*t**4 + 3*t. -9*t**4 Expand 2*y - 2*y + 2*y**2 + (y - 25 - 2 - 14)*(-y - 4*y + 3*y)*(4 - 1 + 0). -4*y**2 + 246*y Expand (-2*r - r**3 + 2*r)*(2*r**2 - 5*r**2 + r**2 - r). 2*r**5 + r**4 Expand (-1 + 1 - r)*(4 - 1 + 2)*(-3*r + 4*r - 10*r). 45*r**2 Expand 5*p**3 + 4*p**3 - p**3 + 0*p + 0*p + p**3 + (-2 + 0 + 0)*(-p**3 + 2 - 2) + 0*p + 0*p + p**3. 12*p**3 Expand (0*g - g + 0 + 1)*(8 + 3 - 7). -4*g + 4 Expand 0 + 0 - 2*l**2 + (-l - 4*l + 3*l)*(-l + l - 2*l) + (-41 + 13*l + 41)*(-3*l - l + 8*l). 54*l**2 Expand (-3*m**2 + 3*m**2 - 2*m**4)*(0*m + m + 0*m) + (0*m**3 + m**5 + 0*m**3)*(3 - 5 + 3). -m**5 Expand (4 + 2*y - 4)*(-6*y**3 + 43*y - 43*y). -12*y**4 Expand ((u - 3 + 3)*(-u**2 + 4*u**2 - 4*u**2) + u**3 + 4*u**3 - 3*u**3)*(3 - 3 + 1)*(-3 + 11 + 0). 8*u**3 Expand (2*k + 0 + 0)*(k**4 - 3*k**4 + 4*k**4) - 2*k**5 - 2*k**3 + 2*k**3 - 9*k**5 + 5 - 5 + (-1 + 2 + 0)*(0*k**2 + 0*k**2 + 2*k**5). -5*k**5 Expand (48 + 31 - 119)*(-1 - 4 + 3)*(-2 + 2 + 2*j). 160*j Expand (3*c**3 - c + c)*(0*c**2 + 3*c**2 - 2*c**2) - 3*c + 3*c - 7*c**5. -4*c**5 Expand (-3 - w + 0*w + 2)*(-5 + 17 - 9)*(0 + 2 + 0). -6*w - 6 Expand (78 - 176 + 41)*(b - 2*b**4 - 3*b + 0*b + (2*b**3 + b**3 - b**3)*(1 - 1 + 2*b)). -114*b**4 + 114*b Expand (2*a**2 - 13 + 15 + 2*a**2)*(0 + 1 - 4). -12*a**2 - 6 Expand (3*o + 0*o - o)*(o**2 + 0*o**2 - 7*o**2) + 4*o**2 + 2*o**3 - 1 - 4*o**2. -10*o**3 - 1 Expand (6*y - y - 3*y - 1)*(-4*y**2 + 4*y**2 - 14*y**2). -28*y**3 + 14*y**2 Expand (-58*i - 70 + 29*i + 27*i)*(6*i - 5*i - 3*i). 4*i**2 + 140*i Expand (3*s**2 + 4 - 4 + (s - 2 + 2)*(2 - 2 - s) + s**2 + 0 + 0)*(2 - 2 + s**3) - s**5 - 2*s**5 + 2*s**5. 2*s**5 Expand -6*g**3 - 3*g**3 - 6*g**3 + (4*g - 4*g + 2*g**2)*(0*g + 3*g - 4*g). -17*g**3 Expand (0 + 1 + 0)*(-39*a - 22*a + 12*a). -49*a Expand (-n + 0*n - 2*n)*(0*n + n - 2*n) + 3*n**2 - 6*n**2 - 2*n**2. -2*n**2 Expand (4 + 0 + 4 - 4 + 2 + 0 + (2 - 3 - 1)*(-2 - 1 + 5))*(5 + 3*w - 5). 6*w Expand (1 - w**3 + w**2 - 1)*(-w - 5*w + 2*w + (4*w + 3*w - 6*w)*(-4 + 4 + 1)). 3*w**4 - 3*w**3 Expand (-s - 9*s + 9*s + (-4*s + s + 4*s)*(2 + 1 - 1))*(0 + 2*s + 0). 2*s**2 Expand (6*o**2 - 2*o**2 - 6*o**2)*(-3*o**3 + o**3 + 3*o**3). -2*o**5 Expand -q**2 - 3*q**2 + 0*q**2 + (0*q - 3*q + 2*q)*(0*q + q - 2*q). -3*q**2 Expand 5*s**2 + 2*s**2 - 2*s**2 + (-1 + 2 - 3)*(s**2 + 0*s**2 - 2*s**2) + 4*s - 4*s + s**2. 8*s**2 Expand (-2 + 5 - 1)*(-5*t + 5*t - 1 + 4*t**2). 8*t**2 - 2 Expand (5 - 4 - 4)*((-2 + 2 - 1)*(0 + 2*h + 0) - 1 + h + 1). 3*h Expand (7*n + 37*n - 24*n)*(-4*n + 5*n + 0*n) + 2*n**2 - n**2 - 2*n**2 + n**2 - 3*n**2 + 3*n**2 - n**2 + 4*n**2 - 2*n**2 + (3*n - n + 0*n)*(0*n + 2*n + 0*n). 25*n**2 Expand -g**2 - 117*g - g**3 + 120*g + 2*g**2 + 4*g**3 - 3*g**3 - 2*g**3 + (0 + 0 + g)*(-g**2 - 3*g**2 + 3*g**2). -3*g**3 + g**2 + 3*g Expand (-6*y**2 + 3*y**2 - 2*y**2)*(-2*y**2 + 0*y**2 + 3*y**2 + y**2 - y + y + (0*y + y + 0*y)*(0*y + 4*y - 2*y)). -20*y**4 Expand (i - 2 + 2)*(2 + 0 + 0)*(-2*i - i + 4*i)*(2*i**3 + 0*i**3 - 4*i**3). -4*i**5 Expand (0 + d**2 - 5 + 3)*(-7*d + 8*d + 3*d). 4*d**3 - 8*d Expand 2*f + 0*f + 0*f + (1 - 2 + 0)*(-4*f + f + f) + f - f + 3*f + 1. 7*f + 1 Expand (-2 + 2*j**3 + 2)*(6*j - 10*j - 10*j). -28*j**4 Expand g - 2*g - 2*g + 2*g + 0*g + 0*g + (2*g + 0 + 0)*(2 + 3 - 3). 3*g Expand (-c + c - c**2)*(32*c**3 + 36*c**3 + 10*c**2 - 66*c**3). -2*c**5 - 10*c**4 Expand (3*z + z - 5*z)*(-4*z - 3*z + 10*z) + 0*z**2 + 2*z**2 - 4*z**2. -5*z**2 Expand (3*q**4 - 3*q**4 + 2*q**4)*(0*q + 0*q + 2*q)*((-5 + 5 + 1)*(0 + 0 + 1) + 6 - 1 - 9). -12*q**5 Expand -3*q**5 + 175*q**3 - 175*q**3 + (-2*q + 3*q - 2*q)*(0*q**2 - q**4 + 0*q**2). -2*q**5 Expand (-j + 6*j + 5*j)*(3*j**3 + 3*j**3 - 4*j**3). 20*j**4 Expand (1 + 2 - 5)*(-2 - 9*i - 16*i + 24*i). 2*i + 4 Expand (-5*z**2 + 0*z**2 + 4*z**2)*(10*z**3 - 8*z**3 + 23*z**3). -25*z**5 Expand (-1 - 3*j**4 + 1)*(3*j + 9*j + 5*j). -51*j**5 Expand 4*d**5 + 3*d**5 - 5*d**5 + (-2*d**3 - 2*d**5 + 2*d**3)*(-2 - 1 + 1) + 16*d**5 - 4*d**5 + 23*d**5. 41*d**5 Expand (-1 + 2 - 2)*(-5*c**4 + 2*c**4 + c**4). 2*c**4 Expand -3*w**3 + w**3 - 8*w**3 + (2*w - 3*w - w)*(0*w**2 + 0*w**2 - 2*w**2) - w**3 + 2*w - 2*w. -7*w**3 Expand (-4*n + 2*n + 4*n)*(-2*n**2 + 2*n**2 - 8*n**2). -16*n**3 Expand (11*k**2 + 127 - 127)*(3 + 4 - 3). 44*k**2 Expand (y**2 - y**2 + 2*y**4)*(2*y - 5*y + 4*y) + 0*y**5 + 4*y**5 - y**5 - y**5 - 2*y**5 + 5*y**5 + 6*y**5 - 3*y**5 + 6 - 10. 10*y**5 - 4 Expand -u**2 + u**2 + 3*u**3 + (0*u**2 + u**2 - 2*u**2)*(-2*u - u + 5*u). u**3 Expand (-2 + 2 + 1)*(3*c**2 + c - c)*(0*c**3 - 3*c**3 + c**3). -6*c**5 Expand 0 + 0 + i**2 + (4 - 2 - 3)*(0 + 0 - 2*i**2). 3*i**2 Expand 5*f**4 - f**4 - 2*f**4 + (0 + 2*f + 0)*(2*f**3 - f**3 + f**3) + (-3*f + 7*f - 2*f)*(-4*f**3 + 2*f**3 + 4*f**3). 10*f**4 Expand (1 - 3 + 3)*(-5*h + h - 3*h). -7*h Expand (6 + 0 + 1)*(3 - 2*g - 3 + (2 - 6 + 3)*(0 + g + 0) + 1 - 1 + 2*g). -7*g Expand (1 + 3 - 3)*(0 - 6 + 1)*(-3*r + 2*r + 2*r). -5*r Expand -1 + v**2 + 1 + (-1 + 1 - 2*v)*(-2*v + 0*v + 0*v) - 13*v**2 + 5*v - 5*v. -8*v**2 Expand (k**3 + k**3 - 6*k**3)*(k + 1 - 1)*(-3*k - k + 2*k). 8*k**5 Expand (-53 + 2*q**4 + 53)*(q - q - 2*q). -4*q**5 Expand (0*p + 0*p + 2*p**2)*(-1 - p + 1) - 9*p**3 + 21*p**3 - p**2 - 5*p**3. 5*p**3 - p**2 Expand (-3*d**4 - d**4 + 3*d**4)*(-5 + 3 + 1)*(2 - 1 + 2). 3*d**4 Expand ((-3 - 11 + 4 + (-3 - 3 + 5)*(1 - 6 + 3) + 3 + 3 - 5)*(3 - 3 + 2*k) - 2*k + k - k)*(-3*k + 2*k**2 + 3*k). -32*k**3 Expand -2*o + 0*o + 0*o + (2*o + o + 0*o)*(0 + 2 - 3) - o - 3*o + o. -8*o Expand (0 + 0 - 7)*(4*q + 0*q - 6*q) - 1 + 3*q + 1. 17*q Expand (-2*r**2 - 5 + 5)*(2*r**3 - r**3 + 0*r**3) - 5*r**5 - 11*r**3 + 11*r**3. -7*r**5 Expand (-q - q**3 + q)*(2 - 1 + 0)*(3 + 12 - 1). -14*q**3 Expand (4 + 1 + 3)*(-2 + 2 - 4*m**2). -32*m**2 Expand (4 - 1 - 4)*(0 - 3 + 5)*(-u + 2*u + 4*u)*(2 - 4 + 1). 10*u Expand (2*a**2 + 0 + 0)*(4 - 2 - 1). 2*a**2 Expand (-3 + 3 - 2)*(-g**3 - 1 + 1) + 0*g**3 - g**3 + 2*g**3 + (-3*g**3 - 5*g**3 - 3*g**3)*(-2 + 3 + 0). -8*g**3 Expand (2 + 2 - 3)*(6*s**5 + 7*s**3 - 7*s**3) + (-2 - 2*s**3 + 2)*(-4*s**2 + 4*s**2 - 2*s**2) - 2*s**5 + 2*s**5 + s**5 + 4*s**5 - s**5 - 2*s**5. 12*s**5 Expand (-4*y + 6*y - 11*y)*(2*y + 4*y + 0*y)*(-5 + 3 + 0). 108*y**2 Expand (2 + 3 - 3)*(-4*s + 2*s + s) + 13*s + 6*s - 6*s - 2*s - 3 + 3 + (1 + 1 - 3)*(5*s - 3*s - 3*s). 10*s Expand (-1 + 0 + 2)*(-2*b - 4*b + 5*b + (-b + 3 - 3)*(-3 + 3 - 2) - 4 + 4 + 7*b). 8*b Expand (1 - 1 - 2*i**4)*(35 + 64 - 21). -156*i**4 Expand (2*c - 3*c + 2*c)*(-c - 3*c + 5*c) - c**2 + 2*c**2 - 6*c**2 + 3*c - 3*c + c**2. -3*c**2 Expand (-10*o**3 - 2*o**3 - o**3)*(0*o + o + o). -26*o**4 Expand -2 + o**2 + o + 0*o**2 - 4*o**2 + (0*o - o + 2*o)*(2*o + 2*o - 6*o). -5*o**2 + o - 2 Expand (-2 - 1 + 1)*(-22*u + 22*u + 6*u**4). -12*u**4 Expand (-3*z**3 + 5*z**3 - z**3)*(6 + 7 + 0) + 5*z**3 + z**3 - 4*z**3 + 1 + z**3 - 1 + (-z + 0*z - z)*(-2*z - z**2 + 2*z) + 2*z**3 + 0*z**3 + 0*z**3. 20*z**3 Expand (2*d**3 - 2*d**3 + 2*d**4 + (5*d**3 + 0*d**3 - 4*d**3)*(-3 + 3 + d))*(-3*d - d + 5*d). 3*d**5 Expand (-w**2 + w**2 + w**2)*(4*w**2 - 4*w**2 + 3*w**3) - 2*w**5 + 3*w**4 - 3*w**4 + 0*w**5 - w**5 - 2*w**5. -2*w**5 Expand (-2*h + h - 3*h)*(-2*h + h + 6*h). -20*h**2 Expand (5*d - d - 2*d)*(3 - 4 + 0)*(-24 - 3 + 7)*(0 - 3 + 2). -40*d Expand (0*o - 4*o + 5*o)*(-4*o**4 - 3*o**4 + 0*o**4) - o**5 + 4 - 5 - o**5. -9*o**5
{ "pile_set_name": "DM Mathematics" }
, -1/4? -1/4 Which is the third smallest value? (a) 5/2 (b) -0.8 (c) -2 (d) -3/19 d What is the second smallest value in 10834, -3, -0.2, 2/7? -0.2 What is the second biggest value in -2/205, 0.08, -2/11, 0.5? 0.08 Which is the third smallest value? (a) 1/9 (b) -70.8 (c) -2 a Which is the biggest value? (a) 16.6 (b) 3 (c) 48 (d) 0.2 c Which is the third smallest value? (a) 48 (b) -5 (c) -2/5 a What is the second biggest value in -0.02, 4, -0.4? -0.02 What is the fifth smallest value in -1.5, 3, -40/7, -2, 0? 3 Which is the third smallest value? (a) 2/15 (b) 0.16 (c) 1 (d) 17 c Which is the biggest value? (a) 3/7 (b) -23 (c) -0.4 a Which is the second smallest value? (a) 1 (b) 0.1 (c) 3/5 (d) -3/2 b Which is the smallest value? (a) -4/7 (b) -3/5 (c) -5 (d) 28 c Which is the fourth biggest value? (a) 5 (b) -28 (c) -37 (d) -5 (e) -3 b Which is the third smallest value? (a) 0.3 (b) 39 (c) -4 b What is the second smallest value in -3/5, 2/15, 201? 2/15 Which is the second smallest value? (a) -3 (b) -4 (c) -5 (d) 4 (e) 1 b What is the fourth biggest value in 5/2, -0.4, -1/4, -2? -2 Which is the second biggest value? (a) 1/81 (b) -5/2 (c) 0.5 (d) -1 a Which is the fourth biggest value? (a) -0.3 (b) -0.5 (c) -2 (d) -239 d What is the smallest value in 0.1, -4/15, -2/5, 5, 3? -2/5 What is the biggest value in -0.3, -2/13, -3, 0.2? 0.2 What is the fourth smallest value in -4, 1/8, -11/5, -0.09? 1/8 Which is the fifth biggest value? (a) -0.4 (b) 1/7 (c) -1 (d) -5/3 (e) 5 d Which is the biggest value? (a) 0.4 (b) -3 (c) -1 (d) -4 (e) 9 e Which is the fourth biggest value? (a) -2 (b) 1 (c) 5/2 (d) -3 d Which is the smallest value? (a) -1 (b) -0.1 (c) 2 (d) -8 d Which is the third smallest value? (a) -2 (b) -0.2 (c) 2.3 c Which is the smallest value? (a) 23/7 (b) -7 (c) 5 b Which is the fourth biggest value? (a) -14/3 (b) 0 (c) -2 (d) -0.5 a Which is the third biggest value? (a) -2 (b) -1.6 (c) 1 (d) 0 b Which is the fifth biggest value? (a) -19 (b) -5 (c) 0.6 (d) -1 (e) 23 a What is the second smallest value in 2, 0, -0.2, -0.5? -0.2 Which is the second smallest value? (a) -149 (b) 3/2 (c) -0.2 c Which is the biggest value? (a) -0.08 (b) -3/37 (c) 2 c What is the fourth smallest value in -3, 4, -1/40, -1/9? 4 Which is the fourth smallest value? (a) 14 (b) -274 (c) 2 (d) -0.5 a Which is the third smallest value? (a) 21 (b) -0.2 (c) 1 (d) 16 d Which is the second smallest value? (a) -0.4 (b) 5 (c) 0 (d) -50 a What is the fourth smallest value in 1/3, 0.03, 0, 5, 0.3? 1/3 What is the second smallest value in 4/3, -0.071, -1/4, 2? -0.071 Which is the smallest value? (a) -0.04 (b) -2 (c) -0.3 (d) -1/2 b Which is the second smallest value? (a) 7 (b) -69 (c) 5 c Which is the fourth smallest value? (a) -0.12 (b) -4 (c) 0.4 (d) -3 c What is the smallest value in 80, 4, -2, -0.045? -2 What is the second biggest value in 1, 36, -2/13, -0.4? 1 What is the second smallest value in -4, 15/7, 0.4, 0.5? 0.4 Which is the second smallest value? (a) 4 (b) 0.2 (c) 13 (d) -2 b What is the second biggest value in -3/2, 0.065, 2? 0.065 Which is the third smallest value? (a) 1/3 (b) 91 (c) -16 b Which is the third biggest value? (a) -0.1 (b) 0.3 (c) -0.03 (d) 0.1 c What is the second smallest value in 0.46, -4, -5? -4 What is the second smallest value in 3/5, 0.02, 7? 3/5 What is the second smallest value in -2/5, 2/7, 0.3, -12/67? -12/67 Which is the biggest value? (a) 21 (b) 0.2 (c) 0.1 a What is the fourth smallest value in 18, 14, -1/5, 2/21? 18 What is the biggest value in 2/7, -65, 1? 1 What is the biggest value in 0.1, -0.49, -2/5, -1? 0.1 Which is the biggest value? (a) -1/2 (b) -1 (c) 1/3 (d) 4 (e) 2/7 d What is the biggest value in -0.018, 6, -4? 6 Which is the second smallest value? (a) 0.4 (b) -5 (c) -0.98 c What is the fourth smallest value in -10, 3, -4, 102/19? 102/19 Which is the smallest value? (a) 6/19 (b) -3/2 (c) 1/6 (d) 4/9 b Which is the fourth smallest value? (a) 0 (b) 3.3 (c) -2/5 (d) -3 (e) 4/3 e What is the second biggest value in 0.4, -134, -3/7, -5/6? -3/7 Which is the third smallest value? (a) 3 (b) 4 (c) -30 (d) 0.19 a Which is the second biggest value? (a) -1 (b) 2 (c) 279 b Which is the fourth smallest value? (a) -11 (b) 18 (c) -0.1 (d) 1/5 b What is the third smallest value in -8, 4, 14? 14 Which is the fourth biggest value? (a) -13 (b) -2/17 (c) 0 (d) -21/4 a What is the second biggest value in -0.5, -0.2, 1192? -0.2 Which is the third smallest value? (a) -0.5 (b) 80 (c) -1/10 b Which is the fifth biggest value? (a) 0.078 (b) 3 (c) -0.6 (d) -0.5 (e) -4 e What is the smallest value in 3/4, -5, -7/6, 2/3, -2/11? -5 What is the fourth smallest value in 0.42, -3, 2/5, 2? 2 What is the fourth biggest value in -0.1, -28/11, -2, -4, 1/4? -28/11 What is the second biggest value in 0, -17, -197? -17 Which is the third smallest value? (a) -2 (b) 0 (c) -0.2 (d) 4/9 (e) 0.5 b Which is the fourth smallest value? (a) -0.3 (b) 0.24 (c) 0.5 (d) -0.1 c Which is the smallest value? (a) -2/11 (b) 4 (c) -74 c Which is the biggest value? (a) 1/9 (b) 12 (c) 9 b Which is the biggest value? (a) 2/7 (b) 74 (c) 2/3 b What is the smallest value in -1/47, -8.2, 2/17, -2? -8.2 Which is the fourth biggest value? (a) -0.4 (b) -1/5 (c) -33.2 (d) -0.3 c What is the third smallest value in 2/15, -0.069, -3, -5/3? -0.069 Which is the fourth biggest value? (a) -1/6 (b) -1 (c) -4 (d) -11 d What is the third biggest value in -1/6, 0, 3, -12? -1/6 Which is the fourth biggest value? (a) 3/25 (b) -1/3 (c) -0.08 (d) -1/6 b Which is the smallest value? (a) 6 (b) 0.5 (c) 3 (d) -8/79 d Which is the second smallest value? (a) -30 (b) 0 (c) -0.3 (d) -0.4 (e) 2 d Which is the third smallest value? (a) 17 (b) 1/6 (c) -4/5 (d) 1/2 d What is the second biggest value in 3/5, -13, 7/2? 3/5 Which is the third smallest value? (a) -3 (b) 0.3 (c) -45/2 b Which is the second smallest value? (a) -0.5 (b) 4 (c) -103 a Which is the second smallest value? (a) 0.1 (b) -1/5 (c) -2 b What is the biggest value in -5, 101, 0.5? 101 What is the second biggest value in -5, 6/5, -3? -3 What is the fourth smallest value in 5/3, -0.4, 0.3, -5, -1/8? 0.3 What is the fourth smallest value in 0.1, 14/11, 2/9, 5? 5 Which is the smallest value? (a) 1/18 (b) -5 (c) -54 c What is the smallest value in 3/4, 0, 2/5, 3, 0.1? 0 Which is the fourth biggest value? (a) 3 (b) -1/37 (c) -2 (d) -1 c What is the third biggest value in -5, -2, -0.06, 31? -2 What is the biggest value in -1, -5/4, -4, 4, -139? 4 Which is the second biggest value? (a) -0.3 (b) -29 (c) -0.5 (d) 5 (e) -1/6 e Which is the third biggest value? (a) -4/3 (b) -0.22 (c) 0.4 (d) 4/7 b What is the fourth smallest value in 4, 1/3, 2, -128? 4 Which is the second smallest value? (a) -1 (b) 4/3 (c) -131 (d) 3 a Which is the second biggest value? (a) -1/3 (b) 37 (c) 2 (d) -2 c Which is the fifth smallest value? (a) 1 (b) -2 (c) 10 (d) 1.1 (e) 0.06 c Which is the fourth biggest value? (a) -1 (b) 2/7 (c) 2 (d) -22 d Which is the biggest value? (a) -18 (b) 0.2 (c) 142 c What is the third smallest value in 7, -0.16, -4, -6/7? -0.16 What is the second biggest value in -0.1, 0.09, -7/4, 1? 0.09 Which is the smallest value? (a) -1/7 (b) 0.021 (c) -5 (d) -2/7 c Which is the smallest value? (a) 0.5 (b) 7/2 (c) -3 c Which is the fifth smallest value? (a) -4 (b) 0.5 (c) 0 (d) -2 (e) -2/13 b Which is the third biggest value? (a) -69 (b) 2 (c) 0.2 a What is the smallest value in 2/5, 3.2, 47, -1/6? -1/6 What is the third smallest value in 2/31, -2/9, -0.3, -3? -2/9 What is the fourth smallest value in 5, 1, 0, 3, 63? 5 What is the smallest value in -0.3, -1/10, 0.5, -4/5, 0? -4/5 What is the smallest value in 2.1, -4, -3? -4 What is the fifth biggest value in 0, 2/19, -1/3, -1/5, 0.576? -1/3 What is the second biggest value in -5, 0.04, 1/67? 1/67 What is the second smallest value in 0, 0.027, -23/3? 0 What is the second biggest value in 3, 4, -0.1, 7? 4 Which is the smallest value? (a) -1 (b) 0.2 (c) -0.21
{ "pile_set_name": "DM Mathematics" }
-96 - -136)). -84 Evaluate 3 - (19 + 2) - (-393 + 380). -5 (-953 - -919) + -1 + 1 -34 (-56 - (-25 + -47) - (0 - 6)) + 82 104 Evaluate -9 + (-139 - -62) - -165. 79 What is the value of (-34 - -1 - (-77 - -44)) + (-2 - 24) + 2? -24 What is the value of -25 - -30 - 2 - -32? 35 Evaluate -5 + 12 - -46 - 14 - (-2 + 19). 22 Calculate (-9 + -32 - -18) + 29. 6 What is the value of 18 + 2 - (8 + -39)? 51 What is 2 + -19 - (18 + 2 + 15 + -26 + -6)? -20 What is 6 + (-10 - -10) + -3 + 1 - (40 - 32)? -4 Evaluate -97 - (-30 + -18 + -18). -31 Evaluate 355 + -567 + 138 + 8. -66 Evaluate -30 + 6 + 19 - (-2 + 4 + -2). -5 What is the value of -1 + 7 + 8 + 1 + -19 + -4 + 43? 35 Calculate (7 - -17 - 21) + (-2 - -1) + 114. 116 What is 10 - (-1 + 14 - (-49 - -47)) - (-6 + -94)? 95 What is (-76 + 39 - -8) + (-5 + 1 - (-10 - -5))? -28 -68 + (146 - -52) + 9 139 Calculate (9 - (11 + 37 + -6 + -12)) + 29. 8 Evaluate -40 + 36 + (-4 - (-8 + (-5 - -10 - 9))). 4 Calculate -5 - (5 + (-17 - (6 - 21)) + (-17 - -8)). 1 Calculate -71 - -291 - (15 - -111). 94 What is the value of -29 - 52 - (-7 - (-10 + 3)) - -7? -74 Evaluate (0 - (2 + -17)) + (-166 - (50 + -251)). 50 Calculate -419 + 413 - (-4 - (7 + -4 + 19)). 20 What is (-2 - (1 - -3 - 52)) + -2 + (47 - 55)? 36 What is 21 + (-496 + 472 - (-6 - (-6 + 4)))? 1 6 - (-10 + 14 + -16 + 1 + 51) -34 Evaluate (-332 + 55 - -138) + 67. -72 What is -31 + 86 - (-5 - (-31 - -18))? 47 (41 - (2 - -22)) + 26 43 Evaluate 106 + (32 + -7 + -30 - (5 - 0) - -14). 110 What is 34 + -10 - 44 - (-93 + -6 + 18)? 61 What is (2 + 7 - 6 - 2) + 4 + 14 + -8? 11 Evaluate (-937 - -915 - (0 - 28)) + -15. -9 Evaluate -7 + (16 - ((-11 - -4) + 16)) + 66 + 0. 66 Evaluate -15 - (-32 + 8) - 36. -27 What is 53 - (30 + 17 + 0)? 6 What is the value of -109 + 6 + 7 + -13 + (-28 - -28)? -109 (-66 - -75 - 37) + -36 -64 (1 - 9 - (16 - -3 - 18)) + 60 + -14 37 -36 - (68 - 32 - 0 - 136) 64 Calculate (-21 - (-3 + 14 - 23)) + 63. 54 What is the value of -32 - ((25 - (17 - (-3 - -8))) + 0 + -28)? -17 What is 54 + (-19 - 147) + (-5 - -3) + (13 - -1)? -100 Evaluate (1 - 1) + 18 + (-70 - (-118 + 71 - 22)). 17 Evaluate 15 - (7 + -7 + 26). -11 Evaluate 31 + -173 + (197 - 146). -91 What is 58 + 2 + 1 + 10 + -124 + (-18 - -124)? 53 Evaluate -33 - (5 - 8 - (-13 + 9 - -2)). -32 Calculate (8 - (-18 + 52)) + 5 + -23 - 20. -64 (170 - -132) + -49 - 128 125 What is the value of (-13 - (-17 + -57)) + -27 - (-1 - 6)? 41 Calculate (0 - -107) + 17015 + -17194. -72 3 + 70 - (-20 - (124 + -157)) - (-16 - 0) 76 Calculate -7 + 19 + -1 + 20 + -41 + 11 + 4. 5 -7 - 62 - -42 - -24 -3 -32 + 97 - (150 + -71) -14 Evaluate -20 + 0 + (1257 - 1259). -22 Calculate (-29 - -57 - -12) + -14 - -53. 79 Calculate 11 - (9 + (13 - -2) + (112 - 112)). -13 Evaluate (-97 - (-24 - (-5 - -8))) + -3. -73 49 + 6 + 11 + ((14 - 5) + 3 - 25) 53 Calculate (469 + -463 - (-2 - -143)) + (-6 - -3) + 16. -122 What is the value of 36 + 84 + (46 + -69 - (-10 + 0))? 107 Evaluate (-2 - -35) + 141 + -157 + -81. -64 What is the value of 1 - (137 + 2 + 48 + -41) - -19? -126 What is (8 - (2 + 5)) + 6 + -48 - (-65 + 59)? -35 19 - (20 + (-46 - 2) - -20) 27 What is the value of -20 + 63 + -24 + -21 + -15? -17 What is the value of 10 + 12 + (15 + -25 + -8 - -6)? 10 What is the value of 68 - (60 + -90) - 183? -85 Calculate (-1 - 2 - (24 + -3)) + -3 + (73 - 71). -25 Evaluate 2 + (-12 - -4) + -2 + -31 + 68 + -28. 1 -16 - ((50 - 10) + 2) - (-5 + -5) -48 Evaluate -66 + -1 + -1 + 19 + -25 + (37 - 37). -74 What is the value of -105 + (-76 - -50) + 28? -103 What is the value of (-244 + 232 - (3 + -1)) + (-2 - -100)? 84 What is the value of -3 + -20 + 87 - (17 - (7 - 13))? 41 What is the value of 3 + -8 - -2 - (-8 + 11 + 0) - -47? 41 Evaluate 62 - ((21 - 23) + -30 - -14). 80 What is (-18 - -64) + -63 + (-23 - -1)? -39 What is 14 + 1 + (31 - 31) + -28 + (-37 - -7)? -43 What is the value of (62 - (104 - 46)) + (0 - (-2 + -11))? 17 Evaluate (11 - 0 - (10 - 37)) + (-9 - -16). 45 What is -99 - ((-251 - -121) + 58)? -27 Evaluate (-6 + 18 + -22 - 5) + 0 + -9. -24 (0 - -2 - 0) + 28 - (-733 + 727) 36 (-1 - -14) + -81 + (46 + 8 - 38) -52 What is the value of (-1 + -14 - -10) + (59 - -25) + -5? 74 Calculate -5 - (-15 - (26 + -35 + 9 + (63 - 1))). 72 What is -4 + 19 + (20 - (-12 - -18) - 6)? 23 -4 + (-35 - 0) - (13 + 17 - 25) -44 What is 14 + -14 - (-3 + -29 + 2 - (9 + -10))? 29 53 + -124 + 62 + -1 + -55 -65 0 - 30 - (-25 + 9 + (-7 - -20) - -5) -32 -17 + (-49 - 25) - (7 - 9) -89 Evaluate (299 - 411) + 118 + 3. 9 -59 + (-75 - -91) - 16 -59 Calculate 16 + 22 + -35 - (-137 + 31 + (-1 - 0)). 110 What is (0 - 40) + (-3 + 9 - ((34 - -1) + -27))? -42 -15 + (-27 - -49) - (19 - 6) -6 What is (69 - 5) + -44 - -16? 36 What is the value of (1265 - 1257) + (0 - (-6 - -34))? -20 What is (-40 + 45 - (3 - 18)) + 19? 39 Calculate (0 + -4 - (1 - 17)) + (18 - (-15 - 19)). 64 What is 20 - (1 + -27) - (5 + 5)? 36 What is the value of (-1 - 3) + 6 + -5 + -1 + 93 + -31? 58 What is 18 + 5 + (21 - (-17 + 81))? -20 Evaluate (14833 - 14838) + 14 + 1. 10 -34 - (-40 + (-27 - -63)) -30 Evaluate (-82 - (-35 - 36)) + 2. -9 What is -28 + 1 + 45 + (5 - -2)? 25 What is -9240 - -9348 - (10 - 1)? 99 Evaluate (0 + -31 - (-31 - -15) - (-7 + 0)) + -19. -27 Calculate 47 + -27 + (109 - 25) + -35. 69 -9 + 15 - (6 + -16 + -8 + 4) 20 Evaluate (67 - 141) + -95 + 152. -17 What is the value of (6 + 47 - 5) + (22 + -15 - 15 - -4)? 44 What is the value of -50 + -28 + -123 + 180? -21 Calculate -47 + 2 - (7 + -13 - (22 + -18 + -11)). -46 What is the value of (-31 - -61) + -4 - (-1 + 17)? 10 Calculate (-107 - 10 - -214) + 33. 130 What is the value of (265 - 43) + -98 - 226? -102 Evaluate 48 - 1 - (4 + 1 + (-23 + 15 - -11)). 39 -65 - -25 - 13 - -23 -30 What is 0 + -4 + 3 - (-994 + 999)? -6 What is (-4 - -2 - -1 - 3) + (190 - 46) + -150? -10 -62 - (-5 + ((3 - 8) + -4 - 3)) -45 What is 294 + -490 + (1 - -26) + 43? -126 Evaluate -2 + (9 + -28 + 26 - (0 + -11)). 16 (-40 - -9) + 21 + (-7 - 11) -28 What is -9 + -62 + -7 + -4 + 15 + 7? -60 What is the value of -3 + -1 + 3 - (1 + (-11 - (-12 + 14)))? 11 Calculate 82 + 3 + (40 - (79 - 19)). 65 Evaluate (-1 - 12 - (58 + -36 + -41)) + 14. 20 What is 1 + -2 - (6 + (15 - (-19 + 39))) - -42? 40 What is 11 - (-2 + (23 - 1) - -5)? -14 Evaluate 331 - 351 - (-1 + -24). 5 -67 + -1 + -1 + 2 + (17 - 3) -53 (-2 - 5) + (-53 - -59) - (-5 + 2 - 34) 36 Calculate -55 - -41 - (-1 + 36). -49 22 + -17 + (-11 + 58 - 25) 27 Evaluate 69 + 3 - (1211 + -1226). 87 3 + -5 + (-27 - 1) + (89 - 80) -21 (-1 + 41 - -63) + -47 56 Calculate (38 + -64 - -36) + -3. 7 What is the value of -6 + (5 - ((-16 - -4 - -1) + -4)) - -46? 60 Evaluate -36 + 44 + 1 - (-8 + 135 + -9). -109 What is the value of ((29 - 11) + -11 - 21) + 3? -11 Evaluate 12 + -2 + -61 + 9. -42 Calculate (18 - 4) + -39 + 24 + 18 - 129. -112 Calculate 23 - (6 - -12) - (5 - 10 - -47). -37 48 - 52 - (-34 + -4 + 15 + -5 + -7) 31 What is the value of -7 + (9 - 0 - (2 - 7)) - -55? 62 What is -35 - (6 - -19 - 22 - -26)? -64 What is the value of 35 + (-28 - (-44 - -48))? 3 12 + -13 - -20 - 57 -38 Calculate (2519 - 2504) + (-4 - 131). -120 What is (1 - 35) + 80 + 26 + -21? 51 20 + (-31 - 67) + 53 -25 -11 + 33 + -5 - (-175 + 133) 59 What is the value of 1 + (-17 - -34) - 62 - -3 - -21? -20 What is 3 - (4 + 4 + -9 - 2 - (2 - -14))? 22 What is (-6 - ((-5 - 12) + 13 + -1)) + -1 + -12? -14 What is 66 + (-52 - -17) + -55? -24 3 + (0 - 6) + 3 - (22 + -76 + 16) 38 What is -3 - 50 - (-46 - -59 - (28 - 5))? -43 What is 59 + -65 - (7 - -40)? -53 What is the value of -13 - (-4 - -2) - (-120 + (3 - -108))? -2 Calculate -232 - (-14 + -110) - -61. -47 Calculate 55 + -1 - (4 + (109 - 130)). 71 Evaluate 3 + -10 + -3 + (5 - (5 - 6)) + 10. 6 What is the value of -5 + -33 + 26 + 14 + 7 + -24? -15 What is the value of -15 + -12 + (-109 + 108 - (63 - 0)) - 14? -105 Evaluate -43 + 17 + -372 + 332. -66 Calculate (-4 - -4) + (-5 - -20) - 46. -31 69 + -44 + 2 + 1 - -9 37 What is the value of -16 - (-155 - -29 - -72)? 38 Calculate (5 - (3 + -5 - -13) - (-14 + 5)) + -11. -8 Evaluate (-42 + 67 - -79) + -116. -12 Evaluate 9 + (-133 + 107 - -21) + 0 + 15 + -1. 18 Evaluate 8 - (-15 + -4 - -30) - (-1 - -100 - -1). -103 Evaluate 1 - -13 - (11 - 7 - 23). 33 What is the value of -13 + (25 + -4
{ "pile_set_name": "DM Mathematics" }
smallest common multiple of 19544700 and 1563576? 39089400 Calculate the common denominator of 95/9952 and 95/666784. 666784 Calculate the lowest common multiple of 407124 and 36378. 19134828 Calculate the common denominator of 1/527 and -20/63733. 1975723 Calculate the lowest common multiple of 28064 and 434. 6089888 What is the common denominator of 73/1209648 and -161/1188? 10886832 What is the common denominator of 91/64 and 155/2431728? 9726912 What is the common denominator of -59/202537800 and -41/2700? 202537800 Calculate the least common multiple of 38205 and 42489. 180365805 Calculate the lowest common multiple of 106461 and 108. 425844 Calculate the common denominator of -109/56 and 83/6662308. 93272312 What is the least common multiple of 36 and 4808355? 57700260 Calculate the least common multiple of 18228 and 1789816. 37586136 What is the smallest common multiple of 49868 and 8736? 1196832 Calculate the common denominator of -65/1278756 and -149/282. 60101532 What is the smallest common multiple of 3048 and 686148996? 1372297992 Find the common denominator of 61/932616 and 73/6321064. 56889576 Calculate the least common multiple of 974886 and 264. 3899544 What is the common denominator of 1/58 and 35/3322066? 3322066 Calculate the smallest common multiple of 589785 and 5740. 2359140 What is the common denominator of -97/20 and 71/3902106812? 19510534060 Calculate the smallest common multiple of 1283568 and 319440. 70596240 Calculate the common denominator of 61/504028 and 69/10075198. 947068612 Find the common denominator of -145/468 and -7/3932. 460044 Calculate the lowest common multiple of 2525973 and 1222764. 191973948 Find the common denominator of 119/1353066 and 35/225511. 1353066 What is the common denominator of -119/506290 and -31/2? 506290 Calculate the smallest common multiple of 4514 and 5337. 24091218 Find the common denominator of 13/3897706 and -79/15590824. 15590824 Calculate the common denominator of 37/292520 and -53/3. 877560 Calculate the least common multiple of 230 and 3620315. 7240630 Calculate the least common multiple of 48 and 674760. 1349520 Calculate the common denominator of 29/404432 and -81/589064. 27096944 What is the lowest common multiple of 2158 and 8501831? 1411303946 Calculate the common denominator of -44/1305619 and 26/4211081. 298986751 Calculate the common denominator of -139/616920 and 11/3480. 17890680 What is the common denominator of -7/5 and -23/1503407? 7517035 Calculate the common denominator of 35/268 and 77/11050176. 11050176 What is the smallest common multiple of 1716 and 5286? 1511796 Calculate the common denominator of 49/815196 and 191/1260. 85595580 Calculate the smallest common multiple of 103258 and 4208. 217254832 Calculate the smallest common multiple of 49084756 and 8376. 294508536 What is the smallest common multiple of 35 and 26879517? 134397585 What is the lowest common multiple of 3390072 and 251644? 179673816 Calculate the common denominator of 71/79870 and -67/1433096. 50158360 Calculate the lowest common multiple of 322 and 114386. 18416146 What is the smallest common multiple of 24227465 and 555? 2689248615 What is the lowest common multiple of 111 and 3851? 427461 Calculate the smallest common multiple of 181389 and 725556. 725556 Find the common denominator of 71/88217604 and 21/1704688. 352870416 What is the lowest common multiple of 13691622 and 3911892? 27383244 What is the common denominator of 145/3516696 and 40/729? 3516696 What is the common denominator of -137/18 and 68/760725? 1521450 What is the lowest common multiple of 122724 and 473364? 3313548 What is the common denominator of 137/2196 and 17/3087576? 3087576 Find the common denominator of -83/470976 and 115/137995968. 137995968 What is the lowest common multiple of 3750 and 308625? 3086250 What is the lowest common multiple of 499887 and 246213? 16496271 Calculate the smallest common multiple of 2507400 and 3150. 2507400 Find the common denominator of -31/8874 and -23/857124. 14571108 What is the lowest common multiple of 14712 and 722436? 885706536 Calculate the least common multiple of 2803904 and 87622. 2803904 What is the smallest common multiple of 162435276 and 8914131? 1461917484 Calculate the common denominator of -43/28 and 9/124052. 868364 Calculate the common denominator of 109/81072 and 17/232. 2351088 Calculate the common denominator of 99/6544 and -109/69356. 113466416 What is the least common multiple of 3315 and 1629290? 83093790 Calculate the common denominator of -161/12960 and 157/2117340. 16938720 Calculate the common denominator of 57/2615 and 67/55. 28765 Calculate the lowest common multiple of 338160 and 5826. 328353360 What is the lowest common multiple of 69057 and 3153603? 9460809 What is the common denominator of -92/566175 and -71/75? 566175 Calculate the lowest common multiple of 1363 and 112056. 5266632 What is the lowest common multiple of 1820 and 262080? 262080 Find the common denominator of 43/3600 and -163/20614800. 61844400 Calculate the least common multiple of 522 and 2864613. 498442662 Calculate the common denominator of -5/128 and -73/462962. 29629568 Calculate the lowest common multiple of 57813262 and 4447174. 57813262 What is the common denominator of -103/9054 and 91/108504142? 976537278 What is the lowest common multiple of 1900 and 124925? 499700 What is the lowest common multiple of 69127 and 679? 46937233 Calculate the common denominator of 139/432264 and 23/405356. 201867288 What is the common denominator of 29/2044832 and -79/11246576? 22493152 Calculate the least common multiple of 12144 and 140486852. 1685842224 Calculate the common denominator of -34/16501875 and -57/7. 115513125 What is the common denominator of 43/2637 and 71/17163? 5028759 What is the lowest common multiple of 31248 and 22785? 1093680 Calculate the smallest common multiple of 403333313 and 7. 2823333191 Calculate the lowest common multiple of 71729968 and 64. 286919872 What is the common denominator of 149/137598 and 89/3379226? 719775138 Calculate the smallest common multiple of 84 and 26938002. 53876004 What is the least common multiple of 5935448 and 156196? 5935448 What is the common denominator of -67/10260 and 73/5238300? 47144700 What is the lowest common multiple of 20825 and 250? 208250 What is the common denominator of 73/860 and -41/78159380? 78159380 What is the common denominator of -99/56 and 67/7608334? 213033352 What is the common denominator of -137/10998 and 77/21411? 2012634 What is the common denominator of 69/1608856 and 45/124? 49874536 What is the common denominator of 97/90 and 67/216815750? 1951341750 Calculate the common denominator of -143/3216 and 113/168864. 11313888 What is the lowest common multiple of 11898990 and 6154650? 178484850 What is the least common multiple of 2360896 and 3700? 59022400 Find the common denominator of 61/814176 and 163/53365536. 587020896 Find the common denominator of 71/29157440 and 53/2915744. 29157440 Calculate the lowest common multiple of 8666982 and 11555976. 34667928 What is the smallest common multiple of 94756 and 20? 473780 Find the common denominator of 43/621009 and -76/915. 189407745 What is the smallest common multiple of 16194858 and 12? 32389716 Calculate the common denominator of -109/10992604 and 89/64385252. 450696764 What is the common denominator of 53/1928916 and 13/504? 27004824 What is the lowest common multiple of 4716321 and 8? 37730568 Find the common denominator of 5/324912 and -139/3528. 6823152 What is the smallest common multiple of 973788 and 1383804? 26292276 Find the common denominator of 167/13104000 and 149/374400. 13104000 What is the smallest common multiple of 12069 and 757842? 3048798366 Calculate the common denominator of -115/42 and 61/4214352. 29500464 Calculate the smallest common multiple of 7055721 and 9. 7055721 Calculate the common denominator of -1/108 and -17/1823796. 1823796 What is the least common multiple of 151797906 and 84332170? 758989530 Find the common denominator of -87/85120 and -47/6456960. 45198720 What is the common denominator of 61/9991215 and 68/2818035? 109903365 Calculate the common denominator of 35/11894927 and 107/6488142. 71369562 What is
{ "pile_set_name": "DM Mathematics" }
k**(447/130) Simplify (j*j**7*j*j*(j*j/j**(-2/19))/j)/(j/(j*j**2))**(1/24)*(j**(-4)/j)/j*j/(j/j**(6/13))*j*(j**1)**(-37) assuming j is positive. j**(-89957/2964) Simplify ((((z/(((z/(z**(-1/4)/z))/z)/z))**(-19))**(-35))**(-2/73))**(-17) assuming z is positive. z**(33915/146) Simplify (m/m**22*m*m*(m/((m*m*(m*m**14)/m*m)/m))/m*m)/((m**22*m)/m*((m/(m*m*m/(m*m/m**(2/39)*m)))/m)/m) assuming m is positive. m**(-2143/39) Simplify (((l**(5/3)*l*l)/l)**37/((l/l**15)/l**(-8)))**(-36) assuming l is positive. l**(-3768) Simplify ((k**2)**(-45)/((k**(7/4)/k)/(k/k**(2/13))))/((k**(-2/5))**(3/7)/(k**(-2/3)*k)**(-2/71)) assuming k is positive. k**(-34789309/387660) Simplify ((((w**(-5)*w)/w*w/(w/w**(-6)))/(w*(w/(w/(w**(2/9)/w)))/w)**(-1/24))**10)**27 assuming w is positive. w**(-11915/4) Simplify (q**(1/10)*q**(-38))/(q/q**4)**46 assuming q is positive. q**(1001/10) Simplify ((f/(f/(f/(f*((f**(5/2)*f)/f)/f))))**45*(f**9)**28)**(1/28) assuming f is positive. f**(369/56) Simplify (z/(z**(-1/2)*z*z))**(-47)/(z**(-1))**(-31)*((z**(1/3)*z)/z)/z**4*(z/(z/z**(2/11)))/(z*(z*(z/z**3)/z)/z) assuming z is positive. z**(-593/66) Simplify ((q**0/q**(-7/5))/(q**(-1))**16)/((q**(1/2))**(-2)*q**(-4)/((q/q**(-2/9)*q)/q)) assuming q is positive. q**(1063/45) Simplify ((h*h**(-4/17))**35*(h*h/h**38)**(-36))**(-19) assuming h is positive. h**(-427253/17) Simplify ((d**(-1)/d*d*(d**(2/15)/d)/d*(((d/(d/(d/d**(-13/2))))/d)/d*d)/(d/(d*d*d**(-7)*d*d)))**(-1/10))**10 assuming d is positive. d**(11/30) Simplify (t**(2/3))**46/((t*(t*t**(-2/9))/t)/t**7)*(t*t*t**(4/11)*t**(-5))/(t**(1/2))**(-43) assuming t is positive. t**(11039/198) Simplify ((((y/y**3)/y)/y*y)**(-2/187)*((y/y**4)/y)**(1/57))**(-8/9) assuming y is positive. y**(3248/95931) Simplify ((s/s**8)/s**(-2/3))**(-3/22)*s/s**(-4/5)*s**0*s*(s**(1/2))**(-7/3) assuming s is positive. s**(412/165) Simplify (w*w**6*w)/w*w*w**(3/10)*(w**2)**(-35/3)*((w**(-2/5))**(2/5))**(-4/5) assuming w is positive. w**(-11179/750) Simplify ((l/(l/(l**(-2)/l*l)))**(-4))**11/((l**3)**(-8))**(3/20) assuming l is positive. l**(458/5) Simplify ((j/(j*j/(j*j**(2/7)))*j)**22)**(2/21)*((j*j/j**(-1/3))/j*j)**40/(j**0/((j/(j/(j/(j/((j*(j**8*j)/j)/j)))))/j)) assuming j is positive. j**(15145/147) Simplify ((s**0)**(9/8)*(s*s/((s**(-1/3)*s)/s))**(-5))/((s**2)**40)**(-43) assuming s is positive. s**(10285/3) Simplify m**(-11)*m/m**(-6/5)*((m**(-5/12)/m)/m)/(m/m**(-24/11)) assuming m is positive. m**(-9503/660) Simplify (c/(c**9*c)*c)/c*c**4*c**(1/5)*c*c**1/c*(c**(-1/2)/((c/(c**(-9)/c))/c))/(c/c**1)**(-4/23) assuming c is positive. c**(-143/10) Simplify ((k**(-1/24)/(k*k/k**11))/(k**(-1))**(-29))**(-18) assuming k is positive. k**(1443/4) Simplify (((q**(2/3)/q)**(-49)/((q**(-7)/q)/(q*q**(-7))))**(-43))**(-27/2) assuming q is positive. q**(21285/2) Simplify (a**(-1/7)/(a*a*a**(2/17)*a))**14/((a**9*a*a**(2/15))/((a*a**(3/5)*a*a)/a**(2/7))) assuming a is positive. a**(-93652/1785) Simplify ((u*u**1)/(u/(u/(u*u**3)))*(((u**1/u)/u)/u*u)**12)/(((u/u**(4/3))/u**(-1))/(u*u**(-2/5)*u/u**1)) assuming u is positive. u**(-211/15) Simplify ((d**(1/4)*d)**(-6/19))**7*d**(3/5)/(d/(d**(-1/2)/d))*((d**(-1)/d)/d)**(-13) assuming d is positive. d**(3262/95) Simplify (m*(m/m**1)/m*m*m)**2/(m**(-6/7)*m/m**3)*m/(((m*m*((m*m*m/(m/m**(1/3)*m))/m*m)/m)/m)/m)*(m*m**1)/m*m**(1/3)/(m*m**(-7)) assuming m is positive. m**(104/7) Simplify (((h**(-2/13)/(h/(h/h**(-4))))**(-37))**(-21))**16 assuming h is positive. h**(621600/13) Simplify (z**(1/8)*z)/(z/((z/(((z*z**(6/7)*z)/z)/z)*z)/z)*z)*((z*z**1)/z)**(-14)*((z/z**(2/3))/z*z**(1/5)/z)**(-24) assuming z is positive. z**(5731/280) Simplify (a**(-1/2))**(1/5)/(a**(-2/5)/(a*a**4))*a**(-1)*(a/a**(-2/7))/a*a*a**(6/5)*a*a*a**1/a assuming a is positive. a**(123/14) Simplify ((r*(r*r*r*r*r**2/r*r)/r)/(r**(-2/17)*r)*(r*r**(2/5))**(-2/3))/((r/r**(1/2))/r**(-2/7)*(r/((r**(-1/3)*r)/r))**29) assuming r is positive. r**(-41969/1190) Simplify (((x**(-5)/x)/(x*x**(-10)*x))/((x*x/(((x**(8/3)/x)/x*x*x)/x))/x*x**13/x))**(2/9) assuming x is positive. x**(-56/27) Simplify ((r/((r/(r*r**5*r))/r*r))**17*(r/((r*r**(3/13))/r))/r**(-4))**(2/9) assuming r is positive. r**(3218/117) Simplify s**4*s**4*s**(2/3)/(s**(3/7)/s*s*s)*(((s**(-1/8)/s)/s*s)/((s*(s**3/s)/s)/s))/((s*s/(s*s**(-5)))/s**(-4)) assuming s is positive. s**(-821/168) Simplify (n*n**(-1)/n)/((n/(((n*n*n**(1/8))/n)/n))/n)*(n**(-2/7)/n)**(-2/75)*(((n**7*n)/n)/(n/n**(-2)))/(n**0)**(-10) assuming n is positive. n**(4423/1400) Simplify (z**(-1/5)/z**8)**(-41)/((z**(5/2)/z)/z*z*z**(1/5))**(1/32) assuming z is positive. z**(107567/320) Simplify (((s**(-3/7)/(s/s**(-1/18)))**(1/13))**(-2/13))**(-7/4) assuming s is positive. s**(-187/6084) Simplify ((r**0)**43)**(-4/19)/((r**(2/7)*r*r*((r/(r/(r/(r*(r/(r**(2/7)/r))/r*r)))*r)/r)/r)/(r*r**(2/3))**46) assuming r is positive. r**(1619/21) Simplify (y**(1/3)*y*y)/y**5*(y**(1/2))**(2/3)*(((y*y*((y**8/y)/y)/y)/y)/y*y**(-4/3))**(6/5) assuming y is positive. y**(31/15) Simplify y**(-3)/(((y*y*y**(-1/5))/y)/y)*(((y**0*y)/y)/y)**(9/8)*(y/y**(-2/45)*y**(-3/14))**(-2/57) assuming y is positive. y**(-567971/143640) Simplify (((p**(-4/11)*p/(p/p**(-2/3)))/((p**2/p)/p**(-1/6)))**(1/23))**(1/23) assuming p is positive. p**(-145/34914) Simplify (((d**(23/3)/d**(1/12))**39)**(-4))**(2/7) assuming d is positive. d**(-338) Simplify (h**1*h*h)/h*h*h**(-3)*h*(h**(1/3))**(-6/13)*(h**(3/10)*h*h*h**8/h*h)**21 assuming h is positive. h**(28229/130) Simplify (n**(-2/3)*n**(-4)/n)**(2/43)/(((n**(1/13)*n)/(n*n*n**2*n))/(n**0/n)**(-40)) assuming n is positive. n**(73217/1677) Simplify (((q**4*q*q**1/q)**(-27/5))**(-48))**(2/15) assuming q is positive. q**(864/5) Simplify ((c**10/c**(-2))/((c*c/(c**(-7)*c))/c**18))**(-28) assuming c is positive. c**(-616) Simplify ((o**(-2/3))**(-19/4)*(o**(-6)*o)/(o*o**(-6)))/(((o/o**(2/7))/o)**40)**(-29) assuming o is positive. o**(-13787/42) Simplify (((x/(x**5/x))/(x/(x**(-1/6)*x)))/(x**(2/9))**(5/3))/((x*x**4)**(-4))**42 assuming x is positive. x**(45169/54) Simplify (((k*k**(-2/47))/k)/k*k/(k/k**(2/3))*k*k**5/k*k**17/k)**(8/7) assuming k is positive. k**(23264/987) Simplify x/x**(7/5)*x**8*x**(-1/14)/((x**(-21)/x)/x) assuming x is positive. x**(2137/70) Simplify j*j/j**(-2/15)*j**(3/7)*(j*j/(j*j*j/(j**(-1)*j)*j))**(-5/12)*((j*j**(2/3)*j)**(-15))**50 assuming j is positive. j**(-419287/210) Simplify ((k/k**(-1/4))**(-3/26))**15*((k**(1/2))**(-11))**15 assuming k is positive. k**(-8805/104) Simplify ((h/(h*h**(-5))*h)**21*h**10*h*h**(-2/15)*h)**50 assuming h is positive. h**(20680/3) Simplify (((r*r**(-13)*r*r**(-13)*r)/((r*r/r**4)/((r**(-5/2)/r)/r*r)))**(-1))**24 assuming r is positive. r**588 Simplify w**(-1/4)/w**(-1/3)*w*w**(3/5)*w*w**(-1/6)*w*(((w*w**1/w*w)/w)**(-7/9))**(1/9) assuming w is positive. w**(5557/1620) Simplify (k**3*k/(k**4/k)*k*k*k*k**(-4)*k*k*k/((k/(k/((k**(-2/7)*k)/k)*k))/k)*k*k)/((k/k**1*k**(-4/3)/k)/(k/k**0)**(-17)) assuming k is positive. k**(-155/21) Simplify (p**(-3/10)/(p/(p**(-3/2)*p*p)))**(7/9)/(p/(p/p**(-1/10))*p**(-2/9))**29 assuming p is positive. p**(157/18) Simplify (r**(2/3)/((r*r**1/r)/r))**(6/7)*(r**6*r*r**(1/3))**(-40) assuming r is positive. r**(-6148/21) Simplify h**(-5)*(h*h**(-2/19)/h)/h*(h*(h*h**3)/h*h*h)/h**(-1)*(h/h**(-5/4)*h*h/h**4)**(-41) assuming h is positive. h**(-711/76) Simplify ((n/(n/(n**(-1)/n)))/(n**(-8)*n))**10/((n**(1/2)*n)**(-1)*n/(n*n**6)*n**(-6)) assuming n is positive. n**(127/2) Simplify ((y*y**(4/3)/y)**(-7)/(y**(5/6)*y**(-1/16)/y))**(4/13) assuming y is positive. y**(-437/156) Simplify (k**(-28)/(k/(k*k**(-1/14)))*(k**(1/3))**(-38))**(7/5) assuming k is positive. k**(-1711/30) Simplify (u**7/(u*u*u**8))**44*(u/(u*u**(-3/2)*u)*(u**(4/3)/u)/u)**(-6) assuming u is positive. u**(-131) Simplify a*a/(a/(a/a**0))*a**(-7/4)*((a*a**(-1/2))/a)**(-5/16)*(a**(3/7)*a*a**(-2/7)*a)/(a**(-1/3))**(1/21) assuming a is positive. a**(5171/2016) Simplify (j**4*j)**7/(j**(-1/46)*j*(j**8*j)/j*j) assuming j is positive. j**(1151/46) Simplify (s**7/s**4*s**(1/6)*(s/s**4)/s)/(s**(8/5)*s**(-2/11))**14 assuming s is positive. s**(-6827/330) Simplify (j**(-1)*j**11)**36/((j**(-2)*j*j)**(3/8)*j**0/j**(-3)) assuming j is positive. j**357 Simplify ((o*o**(-26)*o**(1/5))/(o/(o/o**(-15))*o*o/(o/(o/o**(-32)))*o))**(-42) assum
{ "pile_set_name": "DM Mathematics" }
h = -0.037 - -1.037. Let p = 2 + -2.1. What is the third smallest value in h, p, 0.4? h Let z(r) = 10*r - 31. Let s be z(4). Suppose -6*d = -3*d - s. What is the smallest value in -5/4, -1, d? -5/4 Suppose -5 + 70 = -5*m. Let d = m + 8. Let b = -1 - -1. What is the second smallest value in d, b, -2/13? -2/13 Let y = -1217 - -1227. What is the third smallest value in 2, y, -6, 3? 3 Let k = -32 - -32.6. What is the second biggest value in -0.2, -2/17, -1/2, k? -2/17 Let q = -34.3 + 31.3. What is the biggest value in q, -1/12, -5, -1? -1/12 Let m = 8/179 + 123/1253. What is the smallest value in 5, -2/9, m, -21? -21 Let o = -7.007 - -2.007. Let t = -15 + 9. Let u = 5 - t. Which is the second biggest value? (a) u (b) o (c) -0.5 c Suppose -5*j - 5*i = 5, 6 = -i + 3. Suppose -m + j*b + 3 = 7, 4*m - 3*b = -6. What is the smallest value in 4, -0.1, m, 1/8? -0.1 Let c = 2 - 5. Let o = 27 + 28. Let y = o - 57. What is the second smallest value in y, c, 13? y Let f = 14 + -14.1. Let r be (-6 - -4) + 0 - (-18)/8. Let o be 3*(-1)/(-2)*2. Which is the second smallest value? (a) r (b) o (c) f a Let t(s) = s**2 + 8*s + 4. Let l be t(-5). Let r(o) = -o**2 - 12*o - 8. Let h be r(l). Suppose -h + 12 = 3*m. What is the second smallest value in 2/9, 0.1, m? 2/9 Let a be -7*(-8)/80 + -1. What is the second biggest value in 0.3, a, 0.2? 0.2 Let t = 173/369 - 1/41. Which is the smallest value? (a) -2 (b) -1/2 (c) t (d) 0 a Let k(h) = -2*h - 17. Let y be k(-9). Let s be -6 + 12 + 0/y. Which is the second smallest value? (a) 5 (b) s (c) 0.5 a Let z = 30665/834 + 9/139. Let w = z + -37. Let l(y) = -y**2 - 11*y - 8. Let d be l(-10). Which is the biggest value? (a) w (b) 1/2 (c) d c Let p = 1562.8 - 1563. Which is the second biggest value? (a) -0.6 (b) 7 (c) -2/5 (d) p d Let n = -0.5 + 1. Let l = 0.911 - 1.211. Which is the second biggest value? (a) l (b) n (c) -9 a Let t be (-3 + -6 + 8)/(2/2). What is the third biggest value in 1, -0.07, 1/3, t? -0.07 Let b be (-8)/(-20) - 47/(-20). Let f(q) = 4*q**2 - 61*q + 14. Let n be f(15). What is the second smallest value in n, 3, b? b Let l = -11 - 14. Let f = 23.8 + l. Which is the third biggest value? (a) 0.2 (b) f (c) 2 b Let v = -103.322 + 103. Let i = v - -0.022. What is the fourth smallest value in -5, i, 4, 4/7? 4 Let x = 576 - 2877/5. Which is the biggest value? (a) 2 (b) x (c) 4 (d) -4 c Let o be (-9 + -1)/((-77)/33) + -4. Which is the third smallest value? (a) -1 (b) -4 (c) -0.1 (d) o c Let s = -0.4 - -1. Let o = 6.6 - 7.06. Let n = -0.66 - o. What is the second smallest value in -1, n, s? n Let o = 227 - 227. What is the smallest value in o, 1/3, -21? -21 Let w = 39.1 - 25.1. What is the second smallest value in 1/2, -0.4, w? 1/2 Let b = 41/2 + -367/18. Let v = 1.2 + -1. Let j = 33 + -32.7. What is the second biggest value in b, v, j? v Let g(f) = -f + 12. Let y be g(12). Suppose -v - 1 = -5. Which is the smallest value? (a) y (b) -2 (c) v b Let z be 4 + (-64)/36 - 2. Let t = -0.93 + 1.33. Which is the third smallest value? (a) 8 (b) t (c) z (d) 2/3 d Suppose -c + 15 - 22 = 0. What is the second biggest value in 24, c, 4? 4 Let i = -2.52 + -16.48. What is the third smallest value in 0.2, 1, i? 1 Let y = -9 - -6. Let l be (-6)/(-4) + 4 + (-105)/20. Which is the second smallest value? (a) y (b) l (c) -5 a Let k(p) = -p + 10. Suppose 0 = -0*q - 2*q + 24. Let v be k(q). Let h = -29 + 18. What is the biggest value in -1, h, v? -1 Suppose 9 = -2*y + 1. Let t = 1.87 - -5.13. Which is the second smallest value? (a) t (b) 3 (c) y b Let p be ((-6)/3 - -4) + 3 + 0. Let j = 21 - 43/2. Let n = -8 - -9. What is the third biggest value in p, j, n? j Suppose -5*g + 10 = 5*i, -2*i - 8 = -4*i - 4*g. Let v = 13 + -8. What is the third smallest value in -0.5, v, i? v Suppose 0 = -5*j - 7 - 3. Let p be (-34)/12 + 3 + (-34)/156. What is the fourth biggest value in j, -0.3, p, -4? -4 Let h(d) = -d**3 - 5*d**2 - 6*d - 9. Let p be h(-4). Let v = -0.5 + 0.2. What is the second smallest value in -2/5, v, p? -2/5 Let i = 38 + -15. Let k = 27 - i. What is the second smallest value in k, -0.5, -3, 3? -0.5 Let b = 4/331 + 626/2979. What is the third biggest value in -1/5, 3/10, b? -1/5 Let s be 3 - ((-8)/(-112))/((-4)/(-266)). What is the second biggest value in 2, -4, s, -2? s Let u(a) = a**2 - 4*a - 5. Let w be u(5). Let f(m) = -m**3 + 6*m**2 - 2*m + 9. Let x be f(6). Let b = -8.5 + 9. What is the second biggest value in x, w, b? w Let u = -279 + 413. Let p = u + -133.7. Which is the third smallest value? (a) 2 (b) 0 (c) 0.1 (d) p d Let k = -6 - -6.5. Let i = -5.15 - -0.15. Let j = 1 + i. What is the second smallest value in j, k, 3? k Let f = -0.17 + -27.83. Let h = -29 - f. What is the second biggest value in h, -2/43, -2/5? -2/5 Let s = 87 + -92. Which is the third smallest value? (a) -0.1 (b) s (c) 4 c Let u = -1/483 + -317/2415. Which is the biggest value? (a) u (b) 0.2 (c) -4 (d) 3 d Let k = -919.94 - -920. Which is the third biggest value? (a) k (b) 6 (c) -0.4 c Let i = -1.96 + -0.04. Let f = -8.3 - -2.3. Let n = f + 6.1. What is the second smallest value in i, n, -2/9? -2/9 Let w = 4 - -0.2. Let o = w - 0.2. Which is the biggest value? (a) 0.3 (b) 2 (c) o (d) 16 d Let r = 5.6 - 1.6. Which is the biggest value? (a) 1 (b) 0.2 (c) r (d) 2/9 c Let x = -3 - -2.4. Let j = -3.19 + 7.59. Let b = x - j. What is the third smallest value in 3, 4, b? 4 Let z(h) = -24*h - 36. Let w be z(-4). Let j be 9/(-6) - (-91)/w. Which is the second biggest value? (a) -2 (b) j (c) -0.5 c Let u = 4.975 + 0.025. Let n = -7 + u. Suppose 4*x = z - 15, x - 45 = 5*z + 5*x. Which is the third smallest value? (a) -4 (b) n (c) z b Let y = -117 - -117.1. Which is the biggest value? (a) 116 (b) y (c) -3/4 a Let j = -69.8 + 64.8. What is the second biggest value in j, -56, -0.3? j Let t be ((-36)/(-30))/((-17)/((-340)/(-6))). Let k(h) = -2*h - 1. Let d be k(-5). What is the biggest value in t, d, -5? d Let r = -1.76 - 1.24. Which is the second biggest value? (a) r (b) -2 (c) -1 b Let y = 3 - 14/5. Let w = -97 - -106.6. Let d = -10 + w. What is the smallest value in y, 3/4, d? d Suppose -85*x + 69*x - 32 = 0. Which is the third smallest value? (a) -0.5 (b) -0.19 (c) 0.4 (d) x b Let f = 94.09 - 76. Let q = f - -1.61. Let s = -20 + q. What is the third smallest value in -4/3, -5, s? s Let w = -1766 + 1763. Which is the smallest value? (a) -0.15 (b) -1/7 (c) w c Let y = -2268 - -2257. Let r be 8/9*2/(-8). What is the third biggest value in r, y, 4/3? y Let s = 1456 + -1490. What is the third smallest value in -0.3, -1, s? -0.3 Let p = 0.0234 - 0.2234. Which is the second smallest value? (a) p (b) -8/9 (c) 0.3 a Let u(v) = -2*v - 8. Let j be u(-6). Let p(k) = k - 7. Let n be p(-13). Let q be 30/44 + -1 - 10/n. Which is the second biggest value? (a) 2 (b) j (c) q a Let u be (-99)/12 + -1 + 6/24. Let g = -4 + 9. What is the third smallest value in -5, g, u, 0.4? 0.4 Let b = 35 + -106/3. Let u = -0.954 - -1.554. What is the second biggest value in b, -3, u? b Let f = -3.71 - -1.71. Which is the second smallest value? (a) f (b) 5/2 (c) 1/3 (d) -30 a Let w be ((-1)/(-45)*-1)/((-6)/(-295)). Let l = w - -7/27. Which is the third smallest value? (a) -1 (b) 0.3 (c) l b Let o be (-52*4/(-64))/((-3)/2). What is the fourth biggest value in 4, 5, o, -5? -5 Let w = 5 + 23. Let u be (1/2)/(w/148). Let t = -15/7 + u. What is the third smallest value in 5/3, 0, t? 5/3 Let x = 0.054 + 0.246. Suppose -2*s = -5*z + 9, 3*s - 1 + 3 = -4*z. Which is the smallest value? (a) x (b) s (c) 3/2 b Let h be (-21)/((-378)/132)*2/8. Which is the fourth biggest value? (a) 0.4 (b) 1/6 (c) h (d) 5 b Let f = -8.737 - -8.637. Let q be (-2)/2*2/(-178). Let o = q + 353/267. Which is the third smallest value? (a) f (b) o (c) 2 c Let d(l) = 5*l - 152. Let w be d(31). Let x = -1 + 0.7. Suppose 2*g + 2*g = -5*h - 27, h - 9 = 4*g. What is the third biggest value in g, x, w? g Let k = -10 + 13. Let q = 7.6 - -3.4. Let f = -10 + q. Which is the second smallest value? (a) k (b) f (c) -8 b Let p = -68.7 + 69.1. What is the second biggest value in 13, p, 0.04? p Let x(i) = i**2 + i - 7. Let d = 145 - 148. Let a
{ "pile_set_name": "DM Mathematics" }
, -2/5, 123 Suppose -4*d**4 + 108516*d**3 - 217016*d**2 = 0. What is d? 0, 2, 27127 Determine s so that 5*s**3/3 - 6430*s**2/3 + 1981120*s/3 + 55943680/3 = 0. -26, 656 Factor -3*p**3/5 + 123*p**2/5 + 672*p/5 + 828/5. -3*(p - 46)*(p + 2)*(p + 3)/5 Find t, given that -2*t**5/7 - 54*t**4/7 - 278*t**3/7 - 570*t**2/7 - 512*t/7 - 24 = 0. -21, -2, -1 Let -69*y**5 - 100194*y**4 + 292266*y**3 - 274944*y**2 + 74211*y + 8730 = 0. Calculate y. -1455, -2/23, 1 Factor -3*p**4 + 534*p**3 - 23760*p**2 - 534*p + 23763. -3*(p - 89)**2*(p - 1)*(p + 1) Let 2*z**5 - 1426*z**4 + 193836*z**3 + 22789620*z**2 - 46907694*z - 69502050 = 0. Calculate z. -75, -1, 3, 393 Solve -w**3 + 59*w**2 + 1310*w - 1368 = 0 for w. -18, 1, 76 Factor 2*n**2/7 + 178*n/7 - 192. 2*(n - 7)*(n + 96)/7 Factor -l**5 + 15*l**4 + 117*l**3 + 185*l**2 + 84*l. -l*(l - 21)*(l + 1)**2*(l + 4) Factor z**3 + 3468*z**2 + 3003285*z - 6020450. (z - 2)*(z + 1735)**2 Suppose 14*x**5/3 - 19158*x**4 + 418108*x**3/3 - 153000*x**2 + 32784*x = 0. Calculate x. 0, 2/7, 1, 6, 4098 Factor 5*d**3 - 4555*d**2 - 234960*d - 230400. 5*(d - 960)*(d + 1)*(d + 48) Find r such that -50*r**4/7 + 20596*r**3/7 - 2140602*r**2/7 + 4031120*r/7 + 336200/7 = 0. -2/25, 2, 205 Suppose -2*b**4/9 - 52*b**3/9 + 50*b**2/3 + 1024*b/9 - 1120/9 = 0. What is b? -28, -4, 1, 5 Factor y**2/3 + 98567*y/3 - 32856. (y - 1)*(y + 98568)/3 Find m, given that 185*m**4/12 + 27*m**3 - 23*m**2/3 = 0. -2, 0, 46/185 Let 4*p**3 + 387916*p**2 + 387912*p = 0. What is p? -96978, -1, 0 Factor -2*l**4 + 24*l**3 + 62*l**2 - 84*l. -2*l*(l - 14)*(l - 1)*(l + 3) Factor 32*x**3 + 596*x**2 + 348*x - 216. 4*(x + 1)*(x + 18)*(8*x - 3) Find d, given that -21*d**3 + 165*d**2 - 252*d + 108 = 0. 6/7, 1, 6 Let -2*y**3/3 - 66*y**2 - 892*y/3 + 1504 = 0. What is y? -94, -8, 3 Solve -4*x**4/7 + 178*x**3/7 + 2302*x**2/7 + 7670*x/7 + 5550/7 = 0 for x. -5, -1, 111/2 Factor -d**2/4 + 799*d/4 + 200. -(d - 800)*(d + 1)/4 Let -2*q**2 - 612*q - 35568 = 0. What is q? -228, -78 Factor 2*m**2/11 - 133772*m/11 + 133770/11. 2*(m - 66885)*(m - 1)/11 Factor 2*v**3/9 - 46*v**2/9 + 106*v/3 - 66. 2*(v - 11)*(v - 9)*(v - 3)/9 Let 4*o**3 - 1256*o**2 - 282204*o - 12492144 = 0. Calculate o. -81, 476 Solve p**2/6 + 6599*p/6 - 16510/3 = 0 for p. -6604, 5 Find g such that 2*g**3/11 - 6444*g**2/11 + 4998720*g/11 + 311993600/11 = 0. -58, 1640 Let -4*h**3 - 105*h**2 + 391*h + 1170 = 0. Calculate h. -117/4, -2, 5 Find g such that -8*g**3/9 - 430*g**2/3 - 1096*g - 8582/9 = 0. -613/4, -7, -1 Determine l, given that -9*l**2 + 381503*l - 84778 = 0. 2/9, 42389 Find r, given that 3*r**5 + 3033*r**4 + 306774*r**3 = 0. -897, -114, 0 Factor i**2/4 + 2063*i/4 - 2065/2. (i - 2)*(i + 2065)/4 Determine o so that -3*o**5 + 5007*o**4 + 20070*o**3 + 10050*o**2 - 20067*o - 15057 = 0. -3, -1, 1, 1673 Find u such that -15*u**4 - 245*u**3 - 500*u**2 - 140*u = 0. -14, -2, -1/3, 0 Suppose -3*q**5 + 1138*q**4 + 13779*q**3 - 36810*q**2 + 21896*q = 0. Calculate q. -14, 0, 1, 4/3, 391 Determine g so that 2*g**3 + 158*g**2 - 319*g/2 + 40 = 0. -80, 1/2 Find w, given that -55*w**3 - 1065*w**2 + 7870*w + 3000 = 0. -25, -4/11, 6 Factor 3*f**5 + 54141*f**4 + 325730298*f**3 + 653523458310*f**2 + 1306069942275*f + 652872160125. 3*(f + 1)**2*(f + 6015)**3 Solve -3*g**2 + 3573*g = 0. 0, 1191 What is m in -285*m**3 - 3984*m**2/7 - 1983*m/7 + 6/7 = 0? -1, 2/665 Factor 3*f**4/7 - 30*f**3/7 - 3*f**2 + 84*f. 3*f*(f - 7)**2*(f + 4)/7 Determine o, given that -3*o**4 + 84546*o**3 - 594991899*o**2 - 9541526448*o = 0. -16, 0, 14099 Find r, given that 2*r**2 + 8956*r - 1293040 = 0. -4618, 140 Factor j**3/5 + 93*j**2 - 466*j/5. j*(j - 1)*(j + 466)/5 Find j such that j**4/6 - 2333*j**3/6 - 7009*j**2/6 + 2333*j/6 + 1168 = 0. -3, -1, 1, 2336 Solve -h**2/6 - 133*h/6 - 500/3 = 0 for h. -125, -8 Solve j**5/2 - 23*j**4/2 - 584*j**3 + 5746*j**2 - 16992*j + 15840 = 0 for j. -30, 2, 3, 4, 44 Find h such that 53824*h**2 - 6853280*h + 218152900 = 0. 7385/116 Find b such that 4*b**4 - 208*b**3 + 396*b**2 + 208*b - 400 = 0. -1, 1, 2, 50 What is u in 2*u**5/5 - 316*u**4/15 + 278*u**3/3 - 448*u**2/3 + 1544*u/15 - 128/5 = 0? 2/3, 1, 2, 48 Solve 4*d**2 + 684*d + 25016 = 0. -118, -53 Factor 27*d**3/2 + 261993*d**2/2 + 174656*d/3 + 19406/3. (d + 9703)*(9*d + 2)**2/6 Determine l so that -5*l**3 + 14740*l**2 - 44185*l + 29450 = 0. 1, 2, 2945 Solve 2*c**5/5 - 708*c**4/5 - 2214*c**3/5 + 25768*c**2/5 - 22848*c/5 = 0 for c. -8, 0, 1, 4, 357 Suppose 17*u**4/2 - 250*u**3 + 1563*u**2/2 - 722*u + 182 = 0. Calculate u. 7/17, 1, 2, 26 Suppose 22*h**5/9 - 10*h**4 - 346*h**3/9 + 350*h**2/3 + 148*h - 240 = 0. Calculate h. -3, -2, 12/11, 3, 5 Determine z so that 5*z**2/2 - 17565*z - 35140 = 0. -2, 7028 Let -16*l**3 + 12492*l**2 + 2521024*l - 1897788 = 0. Calculate l. -167, 3/4, 947 Determine r so that 5*r**4 - 785*r**3 - 23165*r**2 - 115135*r + 139080 = 0. -19, -8, 1, 183 Let -5*q**2 + 2150*q - 163845 = 0. Calculate q. 99, 331 Determine w, given that -2*w**4/7 + 438*w**3 + 15366*w**2/7 + 21526*w/7 + 9228/7 = 0. -3, -1, 1538 Let -2*z**2/3 - 225592*z - 19084406424 = 0. What is z? -169194 Let -3*c**2/2 - 651*c - 104967/2 = 0. What is c? -327, -107 Factor -3*s**3 + 120722*s**2 - 442613*s + 241422. -(s - 40237)*(s - 3)*(3*s - 2) What is i in -3*i**4/5 + 2499*i**3/5 - 210009*i**2/5 + 238581*i - 1755864/5 = 0? 3, 88, 739 Let -3*s**5 + 378*s**4 - 10575*s**3 - 10956*s**2 = 0. What is s? -1, 0, 44, 83 Let -u**4/2 + 191*u**3/2 - 7199*u**2/2 + 76705*u/2 = 0. What is u? 0, 23, 145 Factor 2*w**2/15 - 526*w/15 + 7904/15. 2*(w - 247)*(w - 16)/15 Factor x**4/8 + 117*x**3/4 + 13905*x**2/8 + 2929*x - 25230. (x - 3)*(x + 5)*(x + 116)**2/8 Factor r**2/6 - 37801*r/6. r*(r - 37801)/6 Solve -5*o**4 + 3360*o**3 + 3375*o**2 - 6730*o = 0. -2, 0, 1, 673 What is u in -15*u**2 + 53748*u - 10749 = 0? 1/5, 3583 Solve 2*d**2 - 1592072*d + 316836656648 = 0 for d. 398018 Factor 3*m**2 - 1563*m - 6300. 3*(m - 525)*(m + 4) Factor 3*f**3 + 249276*f**2 + 5178210348*f. 3*f*(f + 41546)**2 Solve -5*n**5/4 - 138*n**4 - 190*n**3 + 167*n**2/2 + 765*n/4 + 109/2 = 0 for n. -109, -1, -2/5, 1 What is n in -5*n**2 - 228630*n - 2613583845 = 0? -22863 Let 9*n**4/7 + 49143*n**3 + 3286843530*n**2/7 - 782751072*n - 2191611264/7 = 0. Calculate n. -19112, -1/3, 2 Factor -3*n**3/2 + 393*n**2/2 - 7176*n + 80106. -3*(n - 79)*(n - 26)**2/2 Find o such that -21*o**4/5 + 41148*o**3/5 + 23541*o**2/5 - 41148*o/5 - 4704 = 0. -1, -4/7, 1, 1960 Suppose 5*m**4 - 1405*m**3 + 2765*m**2 + 7005*m - 8370 = 0. Calculate m. -2, 1, 3, 279 Determine t so that t**3/3 - 17894*t**2/3 - 35792*t/3 = 0. -2, 0, 17896 Let -f**2/3 - 94*f/3 - 91 = 0. What is f? -91, -3 Determine b so that -3*b**2/7 - 549*b/7 + 21384/7 = 0. -216, 33 Find x, given that -2*x**3 - 178*x**2 + 754*x + 930 = 0. -93, -1, 5 Determine v, given that -2*v**3 + 141550*v**2 + 2*v - 141550 = 0. -1, 1, 70775 Suppose 1220*s**3/3 - 17182*s**2/3 + 1426*s/3 + 28/3 = 0. What is s? -1/61, 1/10, 14 Determine t so that -4*t**5 - 32*t**4 + 1964*t**3 - 7400*t**2 + 9056*t - 3584 = 0. -28, 1, 2, 16 Determine f, given that 564*f**4 + 16*f**3 - 6768*f**2 + 8832*f + 256 = 0. -4, -4/141, 2 Factor 3*u**2/5 + 5736*u/5 - 15015. 3*(u - 13)*(u + 1925)/5 Factor -3*i**2/5 + 21*i/5 + 15732/5. -3*(i - 76)*(i + 69)/5 Solve -5*n**2 + 598*n + 240 = 0 for n. -2/5, 120 Determine u, given that u**3 - 21115*u**2 + 42227*u - 21113 = 0. 1, 21113 Factor -2*p**2/11 - 14700*p - 297123750. -2*(p + 40425)**2/11 Factor -3*b**2 - 68370*b + 136752. -3*(b - 2)*(b + 22792) Determine g so that g**3/5 + 20387*g**2/5 + 104100848*g/5 + 1970563264/5 = 0. -10184, -19 What is v in -5*v**4 - 1441*v**3 - 91630*v**2 + 1786912*v - 2911104 = 0? -152, 9/5, 14 Factor 10*z**2 + 346*z - 5016. 2*(z - 11)*(5*z + 228) Find i such that -3*i**3/5 - 453*i**2/5 + 3*i/5 + 453/5 = 0. -151, -1, 1 Let -2*b**5 - 2424*b**4 + 10*b**3 + 12120*b**2 - 8*b - 9696 = 0. Calculate b. -1212, -2, -1, 1, 2 Determine j so that j**3/7 + 237*j**2/7 + 6320*j/7 - 13596/7 = 0. -206, -33, 2 Factor 5595*w**2 - 1069*w - 10. (5*w - 1)*(1119*w + 10) Solve 2*w**2/13 + 4796*w/13 - 77248/13 = 0 for w. -2414, 16 What is s in -s**3 + 9925*s**2 - 9924*s = 0? 0, 1, 9924 Factor -h**3 - 337*h**2 - 1654*h + 1992. -(h - 1)*(h + 6)*(h + 332) Solve h**4/2 + 771*h**3/4 + 37433*h**2/2 + 26304*h - 129024 = 0 for
{ "pile_set_name": "DM Mathematics" }
at is the second derivative of -5766*s**5 - 55*s + 17 - 54*s - 2 + 103*s wrt s? -115320*s**3 Let l(q) be the first derivative of -1883*q**4/4 - 395*q - 1317. What is the derivative of l(w) wrt w? -5649*w**2 What is the third derivative of -2*j - 1212*j**3 - 31*j**2 + 10712*j**6 - 2*j**4 - 10711*j**6 - 5 - 9*j**2 + 5*j**4 wrt j? 120*j**3 + 72*j - 7272 What is the second derivative of 848*u**3 - 549*u**3 + 1625*u**3 - 729*u wrt u? 11544*u Let t(f) be the second derivative of 4843*f**4/6 + 13481*f**3/6 - 15075*f. Find the second derivative of t(q) wrt q. 19372 Let b(t) be the first derivative of 13*t**6/30 - 25*t**4/2 - 24*t - 181. Let m(s) be the first derivative of b(s). What is the third derivative of m(g) wrt g? 312*g Let h = 3 + 32. Suppose h = -3*t + 41. Find the first derivative of t*c + 2*c**2 - 2*c - 16*c**2 + 25 wrt c. -28*c Suppose 1 = -132*g + 1. Let n(l) be the first derivative of -3/2*l**4 + 15 + g*l + 0*l**2 - 14/3*l**3. What is the third derivative of n(c) wrt c? -36 What is the derivative of -3109 + 353*d - 137*d - 2555*d wrt d? -2339 Let h be (-95)/(-114)*2/10*5. Let t(w) be the second derivative of h*w**4 + 13/20*w**5 + 8*w + 0*w**3 + 0*w**2 + 0. Find the third derivative of t(x) wrt x. 78 Let y(f) be the third derivative of 743*f**8/112 + 63*f**5/20 - f**4/24 - f**2 - 200*f. What is the third derivative of y(n) wrt n? 133740*n**2 What is the third derivative of -7*j**4 + 3*j**4 + 920*j**2 + 2239*j**2 + 4*j**5 - 220*j**2 - 14*j**6 + 1802*j**2 wrt j? -1680*j**3 + 240*j**2 - 96*j Let u = 257 - 255. Find the third derivative of 7*t + t - 121182*t**3 + 121158*t**3 + 15*t**u wrt t. -144 Let y(j) be the third derivative of 47*j**9/252 + j**8/56 + 139*j**5/12 - 1096*j**2. What is the third derivative of y(k) wrt k? 11280*k**3 + 360*k**2 What is the third derivative of -1781244*y + 1781244*y + 4*y**6 + 205*y**2 - 1246*y**4 + 1 wrt y? 480*y**3 - 29904*y What is the third derivative of -27466*t + 476*t**2 - 562*t**3 + 27466*t - 10*t**3 wrt t? -3432 Suppose -24*k + 22*k + 94 = 4*g, 20 = -4*k. What is the second derivative of 199*p + g*p - 28*p**5 + 46*p**5 wrt p? 360*p**3 What is the second derivative of -q**3 - 883*q**2 + 2610*q - 235 - 2611*q - 290 wrt q? -6*q - 1766 Let d(w) be the first derivative of 0*w**3 - 1/5*w**5 + 128*w - 75/2*w**2 + 0*w**4 - 109. What is the first derivative of d(z) wrt z? -4*z**3 - 75 Let y = -179 - -190. Find the third derivative of 11*p**5 - 138*p**5 - 17*p - 2*p**2 - y*p wrt p. -7620*p**2 What is the first derivative of -741 - 82 + 1624 + 637 + 4*m**2 - 297*m**3 wrt m? -891*m**2 + 8*m Let i(p) = 5*p - 29. Let h be i(9). Find the first derivative of -75 - 22 - 14*u**2 - h*u**3 + 19*u**3 wrt u. 9*u**2 - 28*u Let n = 8420 + -8420. Let i(g) be the third derivative of -19*g**2 + 0*g + n + 10/3*g**3 - 1/12*g**4. What is the derivative of i(p) wrt p? -2 Let t = -21881/5 + 4377. Let g(x) be the second derivative of 0*x**3 - 18*x + 0 + t*x**5 + 0*x**2 - 1/12*x**4. Find the third derivative of g(h) wrt h. 96 Let d(u) be the second derivative of -1193*u**6/30 + 655*u**3/6 - 17*u + 11. Find the second derivative of d(l) wrt l. -14316*l**2 Let l(w) be the second derivative of 3*w**8/56 - 23*w**7/7 + 6691*w**4/12 - 2*w + 4799. Find the third derivative of l(a) wrt a. 360*a**3 - 8280*a**2 Let c = -12291 + 36874/3. Let v(d) be the second derivative of -34*d - 11/10*d**5 + 0*d**2 + 3/2*d**3 - c*d**4 + 0. Find the third derivative of v(w) wrt w. -132 Suppose -7*y = -52 + 3. Suppose -y*j + 10*j = 39. Find the third derivative of -30*h**6 + j*h**6 + 3 - 3 + 13*h**2 wrt h. -2040*h**3 What is the third derivative of -11703 - 881*i - 2*i**2 - 3*i**4 - i**4 + 11702 - 296*i**3 wrt i? -96*i - 1776 Find the second derivative of 13*v**2 - 680*v + 9*v**2 - 34*v**2 + 12*v**2 + 1200*v**4 wrt v. 14400*v**2 Let t(g) = -195*g**2 - 31*g - 14866. Let b(j) = 97*j**2 + 19*j + 7430. Let n(p) = 5*b(p) + 3*t(p). Differentiate n(k) wrt k. -200*k + 2 Let s(c) = -297*c**3 - 3*c**2 + 48*c + 194. Let p(q) = -593*q**3 - 6*q**2 + 88*q + 388. Let u(w) = 6*p(w) - 11*s(w). What is the third derivative of u(f) wrt f? -1746 Let f = -48 + 50. Find the third derivative of 5*z**4 + 8*z**4 - 10*z**4 + 11*z**4 + 7*z**f + 2*z**3 wrt z. 336*z + 12 Suppose -l + 183 = 4*v, -5*l + 6*v = 3*v - 823. Find the second derivative of -98*y**3 - l*y + 75*y**3 + 59*y**3 - 2*y**2 wrt y. 216*y - 4 Let v(u) be the second derivative of -24*u**2 + 43/3*u**3 - 1 + 32*u. What is the first derivative of v(a) wrt a? 86 Let r(n) = -5*n**2 - 770*n + 425. Let y(t) = -7*t**2 - 771*t + 424. Let a(w) = 4*r(w) - 3*y(w). Differentiate a(p) with respect to p. 2*p - 767 Differentiate 4961*w - 694*w - 982 + 6918 + 2928*w with respect to w. 7195 Let q(h) be the second derivative of 122*h + 0 + 91/20*h**5 + 0*h**4 - 45/2*h**2 + 0*h**3. Find the first derivative of q(d) wrt d. 273*d**2 What is the derivative of 3689 - 445*c**4 + 827 - 1234 - 633 + 3848 wrt c? -1780*c**3 Let c(w) be the third derivative of -5*w**9/504 - 19*w**7/21 - 143*w**5/10 - 673*w**2. Find the third derivative of c(d) wrt d. -600*d**3 - 4560*d Let r(m) be the third derivative of 2*m**7/105 + 29*m**6/40 + 89*m**3 + 2*m**2 + 1. Differentiate r(u) wrt u. 16*u**3 + 261*u**2 What is the third derivative of -17*t**2 + 29*t**2 - 28 + 43*t**6 + 653*t**6 + 3 wrt t? 83520*t**3 Let i = -33 - -6. Let q = i + 29. Find the second derivative of -6*u**4 + q*u**4 + 9*u + 7*u wrt u. -48*u**2 What is the third derivative of 459*l**3 - 3690*l - l**2 + 3687*l - 498*l**2 wrt l? 2754 Suppose 21*a = 35*a - 268086. What is the second derivative of -v**2 + 6*v**2 + a*v**3 + 8 - 19147*v**3 - 8*v wrt v? 12*v + 10 Let k(v) = -63*v**2 - 1904*v - 1200. Let z(l) = -95*l**2 - 1902*l - 1200. Let d(h) = 3*k(h) - 2*z(h). Find the first derivative of d(m) wrt m. 2*m - 1908 Let g(x) be the second derivative of 1/6*x**3 + 5/2*x**2 - x - 2 + 85/6*x**4. Find the second derivative of g(r) wrt r. 340 Let i(r) = -3*r**2 - 9*r - 11. Let l be i(-6). Let w = l - -70. What is the second derivative of -16*u**5 + u**5 + 20*u - 15*u**5 + w*u**5 wrt u? -500*u**3 Find the first derivative of 67984 - 72152 - 2510*n + 257*n wrt n. -2253 Let q(o) = 2*o**2 - 4*o - 13. Let m be q(-2). What is the third derivative of 102*x**2 - 48*x**2 - 22*x**2 + 29*x**m wrt x? 174 Let p(i) be the first derivative of -445*i**3 - 1137*i**2/2 - 1046. What is the second derivative of p(s) wrt s? -2670 Let n(t) be the third derivative of 5137*t**4/24 + 322*t**3/3 + 4238*t**2. Find the first derivative of n(m) wrt m. 5137 Let y = 214 + -200. Find the third derivative of -2*t**3 - 7*t**2 + y*t**3 - t + 72*t**3 + t**2 wrt t. 504 Let c(o) = -1600*o**2 + o + 2918. Let d(p) = -4802*p**2 + 3*p + 8752. Let h(k) = -8*c(k) + 3*d(k). Differentiate h(v) with respect to v. -3212*v + 1 Let q = 24 + -21. Find the first derivative of 22*h**3 + 22*h**3 + 60 + 25*h**q wrt h. 207*h**2 Let b(w) be the first derivative of -w**6/6 - 373*w**5 + 3293*w**2/2 - 4535. What is the second derivative of b(a) wrt a? -20*a**3 - 22380*a**2 Let p(u) be the third derivative of -29*u**5/60 + u**4/6 - 29*u**3/3 - u**2 + 8*u. Let j(w) be the first derivative of p(w). Differentiate j(z) wrt z. -58 Let s(y) be the first derivative of -992*y**5/5 - 12*y**2 + 56*y - 502. What is the second derivative of s(d) wrt d? -11904*d**2 Let f be (-10)/(-5)*8*1. Differentiate f*o**4 + 118 - 59 - 45 with respect to o. 64*o**3 Let j(d) = 1852*d**2 - 214*d - 620. Let t(x) = x**2 + 43*x. Let g(s) = 2*j(s) + 10*t(s). Find the second derivative of g(k) wrt k. 7428 Let p(f) = 5*f + 25. Let i be p(-4). What is the third derivative of -i*k**2 + 7*k - 65*k**5 + 3*k**2 + 13*k**4 + 64*k**5 wrt k? -60*k**2 + 312*k Suppose 5*f = -50 + 60. What is the second derivative of -73*v - 8*v**2 + 16*v + 107*v**2 + 15*v**f wrt v? 228 Let j(p) be the second derivative of 2647*p**6/30 - 156*p**2 + 143*p + 2. What is the derivative of j(x) wrt x? 10588*x**3 Let i(t) be the second derivative of t**7/21 - 1573*t**5/20 - 11*t**4/6 + 3*t**2/2 + 1343*t. What is the third derivative of i(s) wrt s? 120*s**2 - 9438 Let c(b) be the first derivative of 3376*b**3/3 - 410*b**2 - 2607. What is the second derivative of c(l) wrt l? 6752 Suppose 25*o - 28 = 22. What is the third derivative of 138
{ "pile_set_name": "DM Mathematics" }
k + 34 - 12, -2*k + 22 = 2*n for n. 11 Solve -37 = -z + 4*t + 40 - 145 + 20 + 26, -3*z - 5*t + 19 = 0 for z. -2 Solve 0 = w - 5155*h + 5219*h + 143, -w = 2*w + 2*h + 49 for w. -15 Solve -11*r - 12*r + 18*r - 2*a = -81, -46*a + 1298 = 13*r - 11*r for r. 5 Solve -17*j + 36*j + 104 = 13*j + 2*c, 4*j = -c - 67 for j. -17 Solve -4*j + 0*t - t - 2879 = -2759, -43 = j - 3*t for j. -31 Solve 45*n - 210 = 5*a + 50*n, 2*a - 11*n + 359 = 3*a + 421 for a. -40 Solve 230*u + 72 = 233*u - 4*f, 4*u + 19*f = 23 for u. 20 Solve 3*a + 4*z = -124, 135*a - 88*a - 4*z + 1876 = 0 for a. -40 Solve 0 = -4*p - 2*b + 12, 9*b + b = 5*p + 18*b - 59 for p. -1 Solve 13*w + 62 = 2*g - 7*g, -4*w - g + 2 = 20 for w. -4 Solve 2*a - 889*l + 892*l = -95, 4*l + 104 = 3*a for a. -4 Solve 0 = 2*s - 11*j - 147, -6*s + 2449*j + 191 = 2466*j for s. 46 Solve 4*a + 18002308 = 2*i + 18002430, 5*i + 4*a = -235 for i. -51 Solve l + 6 = 3*v, 93042*l + 17 = 5*v + 93038*l for v. 1 Solve -3*o + k + 748 = -o + 742, -3*k - 18 = -5*o for o. 0 Solve q = -d - 89 + 79, 14*q - 5*d = -2*d - 0*d - 55 for q. -5 Solve 54 = -5*i + 4*m, 185858*i - 185869*i + 3*m = 142 for i. -14 Solve -3*l + 5*u = 6, -5*l - 9*u - u + 3 = -14*u for l. 3 Solve 3*p + 4*k - 14 = 0, 79*p + 2*k + 0*k - 832 = -60*p for p. 6 Solve 3*c - 16 - 22 = -0*i - 4*i, -4*i + 11 = -4*c - 41 for i. 11 Solve -5*k - 30*o - 640 = 5*o, 44 = -4*k - 10*o + 8*o for k. -2 Solve -9 = -i - 4*i - 13*x + 6*x, 39 = 5*i - 3*x for i. 6 Solve 2*p + 17 = -5*n, -3*p - 62 = -3*n - 68 for n. -3 Solve 6*y = -5*q - 24, -4*q - 12 = -246*y + 128*y + 121*y for y. -4 Solve 0 = -3*a - 15, 2268*z - 4*a = 1123*z + 1104*z + 236 + 727 for z. 23 Solve 2*s - 18 = r, -27*r + 23*r - 86 = -17*s + 76 for r. 2 Solve -u = -4*v - 61, 9*u - 24*v + 264 = -95*u - 21*v for u. -3 Solve -104 = -4*c, 6*q - 26*c + 352 = -12*c for q. 2 Solve -18 = 5*l + 2*m, 439*m - 7 = 3*l + 444*m for l. -4 Solve 5*z + 3*k = -21, 25*k - 10996 = -10921 for z. -6 Solve 296*d = -c - 135 - 362 - 105, 5*d + c = -20 for d. -2 Solve 0 = y - 7*z - 32, -2*y + 889360*z - 889356*z + 24 = 0 for y. 4 Solve -2*a + 93 = 33*j - 12*j, 4*a + 19 = 851*j - 852*j for a. -6 Solve -320*i + 647*i + 2*v = 324*i - 19, -2*i + 203*v + 2848 = 0 for i. 3 Solve 0 = -8*k - 2*a - 3*a - 44, 0 = 2*a - 647 - 658 + 1313 for k. -3 Solve -4*a - 20*d = -22*d + 22, 20*d + 82 - 492 = 2*a for a. 5 Solve 2*c - 450 = -224 - 224, 0 = -5*p - c - 49 for p. -10 Solve 2040*c - 2036*c - 182 = -10*z, 2*c = -14*z + 244 for c. 3 Solve 0 = t + 7*s + 51, 29773*t + 9 = 29768*t + 5*s + 74 for t. 5 Solve -3*d = -381*j + 3063, 4*j - j - 11 - 18 = d - 0 for d. -5 Solve 219 = -c + 6*t, -81*t = 5*c - 82*t + 22 for c. 3 Solve 0 = 82*j - 84*j + 4, -29*o + 2*j - 7 = -26*o for o. -1 Solve 5*z - 82 = -3*c, -43*c - 224*z + 1024 = -118*z - 110*z for c. 24 Solve -n = -1476747*u + 1476748*u + 41, -85 = 2*u + 5*n for u. -40 Solve 5*t + 31 = 12*y + 32, 3*t - 2*t - 3 = y for t. 5 Solve 1448*w - 2903*w = -1455*w - 41*c + 164, w + 9 = c for w. -5 Solve 0 = -39*o + 18*s - 17*s + 171 - 59, 0 = -o - s + 8 for o. 3 Solve 7*o - 8*o - 5*o - 5*o - 32 = -3*v - 15*o, 4*v = -o + 34 for v. 8 Solve -4*l + 5*s = -99, 11*s = -3*l + 2*s - 219 for l. -4 Solve 2*m + 5*a = 43, 51 = 4*m - 66384*a + 66387*a for m. 9 Solve 2*z - 4*j = 4*z - 0*z - 30, 3*z + 97*j - 31 = 93*j for z. 1 Solve -25*u = 5*n - 392351 + 392461, 3*u - 19 = 4*n for u. -3 Solve 2*i + 2*q = i - 7*q + 6*q + 3, 0 = 2*i - 44*q + 44 for i. 0 Solve -4*n - 4615*u = -4618*u + 17, 0 = -4*n - 5*u + 7 for n. -2 Solve 5*k - c = 31, -34722*k + c + 22 = -34720*k for k. 3 Solve 4*t = -5*y + 36, -957*y + 520 = -826*y - t for y. 4 Solve -2*d - 73*l = d + 26*l - 449 - 259, 0 = -3*d - 5*l + 50 for d. 5 Solve -24414*k + 24422*k - 3*l = -173, 43 = -2*k + l for k. -22 Solve -2*w - 570 + 298 = -278, 0 = -a - 5*w + 12 for a. -3 Solve -2*q - 3*m + 1920 = 1940, 5*q + 2*q + 2*m + 2 = 0 for q. 2 Solve 0 = -4*o - v - 8, 5684*o - 5679*o - 4*v - 58 = -v for o. 2 Solve 3*n - 20 + 6 = -201*h + 196*h, -102*n = -4*h + 220 for n. -2 Solve -3*j + 36 = 2*n, 2*n = -248152*j + 248211*j - 336 for j. 6 Solve 0 = 32*q - 10100*a + 10101*a + 158, 4*q - 5*a = -30 for q. -5 Solve 7186 = -s - 4*x + 7208, -5*x + 18 = 6*s for s. -2 Solve 4*v - 34*n = -30*n + 108, 259*n + 6730 = -2*v - 2*v for v. 1 Solve 4*v = k + 47, -6673486*k - 5*v - 83 = -6673482*k for k. -27 Solve -2*f = -10, -85*a + 91*a + 3 = 2*f - 7 - 6 for a. -1 Solve -4*b - 4*g + 4 = 0, -2*b - 124*g = -173*g - 2 for b. 1 Solve 29*k + 56 = 5*x + 36*k, x - 19*x + k = -123 for x. 7 Solve 5*n = -u - 0*n - 16 + 48, -u = -5*n + 28 for u. 2 Solve 4*y + 2*t - 90 = 0, 4*y + 471*t - 213 = 466*t for y. 2 Solve 0 = -x + 309*v - 288*v + 108, -5*x = 4*v - 104 for x. 24 Solve 136*m - 4 = 138*m + 2*o, 2*m = -m - 4*o - 8 + 2 for m. -2 Solve 1052*j + 24 = 1048*j - 28*x + 24*x, x = j for j. -3 Solve l - 12 = -3*s, 3*s - 126*l - 12 = -122*l for s. 4 Solve 0*r - r + 4*x = -7*r + 2*r + 40, -25 = -r - 4*x for r. 5 Solve -90*i - 76*i = -163*i - 2*m - 17, -2*i - 4 = -5*m - 19 for i. 5 Solve 0 = 5*p - 7045*o + 7071*o + 333, 3*o = 5*p - 3*p + 4 - 45 for p. 1 Solve 0 = -4*i + 3*k + 18, -21*i = 407*k - 411*k - 10 - 61 for i. 3 Solve -3*o + 5*m = 83, 330*o + 29 = 329*o + 3*m for o. -26 Solve -4*k = -r - 5, 204*r + 206*r - 820*r - 9 = -201*r - 210*r - 3*k for r. 3 Solve 2*u - 69 = f - 67, -39*f + 9*u = -35*f + 8 for f. -2 Solve -6*c = 622*m - 621*m + 32, 4*c - 4*m = -40 for c. -6 Solve -22*t = 3*x - 15 - 7, -29 = 5*t + 5*x - 34 for t. 1 Solve -2*x = s - 16, -17*s - 36 = 4*x - 12*s - 122 for x. -1 Solve 0 = 17*q + 4*g + 17, -2*q - 3*g = 3*q - 1783426 + 1783431 for q. -1 Solve 2718*w - 2722*w = 4*y - 72, 2*w + 342 - 132 = 2*y + 170 for y. 19 Solve 18*u + 3*x - 2*x - 362 = 0, 3*u + 724*x = 718*x + 72 for u. 20 Solve 1243*y - 71 = -33*j + 1248*y, 2*y + 0*y + 1 = -2*j - 3*y for j. 2 Solve -3*y = -247*o + 125*o + 125*o + 270, 3*y = -4*o - 359 for o. -89 Solve g - 935 = 5*t + 940 - 1816, 11 = -t for g. 4 Solve -2011*o + 2007*o - 6*b = 30, -o = -0*o - 2*b - 2 + 13 for o. -9 Solve 2*c = -2*c - 25353*x + 25344*x - 257, -252 = 4*c + 4*x for c. -62 Solve -5*c = -a + 27, -291*a = c - 285*a + 18 + 6 for c. -6 Solve -2*i - 209*x - 2 - 31 = -194*x, -4*i + 2*x = 162 for i. -39 Solve -2*g = -2*i - 16, -i + 4*g - 343 = -296 for i. 5 Solve -3*c + s - 2282 = -2288, 15*c = -5*s for c. 1 Solve 2*w = -3*j + 69, 16435*w - 16437*w + 14 = -8*j for j. 5 Solve -1 + 7 + 5 = -8*w - 116*o + 119*o, 4*o = w - 24 for w. -4 Solve 60499 - 60532 = -3*x + 12*f, -5 = f for x. -9 Solve -4*r - 488 + 422 = -6*f, -r = 24 for f. -5 Solve -14*i + 9*i + 30 = 5*f, 2079*f - 2*i + 9 = 2080*f for f. 3 Solve 2*d = -70*u + 346, 20 = -9*u - 13*u + 26*u for d. -2 Solve 3*r - 26 + 18 - 9 = 30*w + 37, 7*w - 4*w + 8 = -r for w. -2 Solve 98*h = 103*h + 17*m - 131, 0 = -6*h - 4*m + 26 for h. -1 Solve -3*d + 17090 = -n + 17078, 0 = -n + d - 6 for n. -3 Solve -110*k = -105*k - 3*y + 26 + 10, k = 3*y - 48 for k. 3 Solve -9*t = -4*j - 1224829 + 1224840, -5*t + 5 = -5*j for t. -3 Solve -1093*v = -1114*v + 3*j - 156, -4*j - 23 = 5*v for v. -7 Solve 0 = -3*l + 7*z + 474 - 549, 56 = -5*l + 4*z for l. -4 Solve 0 = -2*r - 2*f - 50, -509 = -36*r + 41*r + 133*f for r. -22 Solve 3*w = 33*y - 35*y - 62, -y + 459 = -23*w for w. -20 Solve 2*f = -0*f + 325 - 315, 2*f = -20*m + 350 for m. 17 Solve -6374032*w + 6374028*w = -4*z - 64, -41 = -2*w + 5*z for w. 13 Solve -1193*y + 1194*y + 7*l - 47 = 0, -3*y - l = -1 for y. -2 Solve -89*l = -88*l + 5*c + 141, 51 = 5*l - 2*c for l. -1 Solve 7*j = 3*a + 69, -8 = 200907*a - 200903*a for j. 9 Solve 0 = -3*g - d - 176, -14*g + 3*d = 559397 - 558545 for g. -60 Solve 3891*v - 20 = 3887*v, -12 = a - v + 5 - 4 for a. -8 Solve -5*i - 11*h + 19*h - 8 = 3*h + 22, 7*h = 2*h + 20 for i. -2 Solve -17*w - n - 364 + 306 = -226, 0 = -4*w + n + 42 for w. 10 Solve 2*h - 34*m + 8 = -35*m, 79*h + 2*m = -140 - 26 for h. -2 Solve 0 = 5761*s - 5767*s + j - 40, -4*s - 24 = -2*j for s. -7 Solve 5*w + 10 = 0, -3*w - 36448 = -188*h - 32118 for h. 23 Solve 0 = -5*r - 5*o - 95, 343099*r + 11 = 343098*r + o for r. -15 Solve -k + 4403 - 4294 = -41*z, 0 = 3*z + 9 for k. -14 Solve -76 = -6*q - 5*z, -2*z + 36 = -2152*q + 2168*q + 3*z for q. -4 Solve 4 = -n - 3*q - 4*q + 182, -140 = -4*n - 6*q for n. -4 Solve -945*j
{ "pile_set_name": "DM Mathematics" }
0. What is the remainder when q is divided by 274? 141 Suppose -5*t - t + 7626 = 0. Suppose -a - 2*c = 407, 0 = 5*a - 2*a - 4*c + t. Calculate the remainder when (a/6)/(1/(-2)) is divided by 35. 34 Let w = 44423 - 44277. Suppose -2*o - 4*s + 60 = 0, -7*o - s = -2*o - 150. Calculate the remainder when w is divided by o. 26 Suppose 0 = -10*w + 9*w + 23*w - 968. Calculate the remainder when 1758 is divided by w. 42 Suppose -5*d = -1641 + 241. What is the remainder when (-1739)/(-9) - (d/(-36) - -8) is divided by 40? 33 Suppose 59*b - 55*b - 60 = 0. Suppose -7 = -2*a - 2*g + b, 5*a - 49 = -2*g. Calculate the remainder when ((-35)/4)/(6/(-72)) is divided by a. 6 Let q(k) = -k - 4*k + k + 33 + 5*k. Calculate the remainder when q(-2) is divided by 8. 7 Suppose -2*z = 6*h - 3*h - 12645, 4*z + 25242 = 6*h. What is the remainder when h is divided by 25? 11 Let u(k) = -k**3 + 16*k**2 + 17*k + 42. Let p be u(17). Let y(d) = -23 + 3*d + 7*d**2 + p - 23 + 2*d**2. Calculate the remainder when y(4) is divided by 9. 8 Let c(p) = -19*p - 50. Suppose 0 = 6*k - 5*k + 3*l + 8, 3*l + 3 = 0. What is the remainder when 103 is divided by c(k)? 13 Suppose -z = 4*x - 102, -95 = -z - 130*x + 133*x. What is the remainder when 196 is divided by z? 0 Let b(i) = 10*i**2 + 3*i - 1. Suppose -13*y + 18*y - 5 = 0. What is the remainder when -5*(-8)/20 - -114 is divided by b(y)? 8 Suppose s + 1 = 4, q = 2*s. Let v(a) = 145*a - 552. What is the remainder when v(4) is divided by q? 4 Let r = -5195 - -5246. What is the remainder when 3154 is divided by r? 43 Suppose 2*h - 5*d - 29 = -4, -h + d = -14. Let m = -9227 + 9301. Calculate the remainder when m is divided by h. 14 Let m = 21671 + -21296. Calculate the remainder when 494 is divided by m. 119 Suppose -4*f - 4*a = -244, -3*f - a = -6*f + 203. Let t = f - 67. Let x(j) = -66*j**3 - 2*j - 1. Calculate the remainder when x(t) is divided by 10. 7 Let p(r) = r**3 - 2*r**2 - r + 6. Suppose -28 = -2*m - 4*i, 5*m - 2*i - 74 = 2*m. What is the remainder when p(4) is divided by m? 12 Let l = 3 + 40. Let z(i) = i**3 - 5*i**2 + 8*i - 4. Let a = 182 - 178. Calculate the remainder when l is divided by z(a). 7 Let o = 44 - -36. Let d(u) = 67*u - 4. Let a be d(-1). Let s = o + a. What is the remainder when s is divided by 2? 1 Let l be -81 + (6 - (-10)/(-1)). Calculate the remainder when -3*(l/3 - -3) is divided by 11. 10 Let r(p) = -18*p - 351. Let u(g) = 11*g + 234. Let i(c) = 5*r(c) + 8*u(c). What is the remainder when i(27) is divided by 22? 19 Calculate the remainder when ((-226)/452)/((-19194)/9596 + 2) is divided by 60. 59 Let u(m) = -m + 10. Suppose 1825 = -21*r + 7726. Let q = -263 + r. What is the remainder when q is divided by u(0)? 8 Let n be 102/4*(-60)/(-45). Suppose -2*f + n = 24. Calculate the remainder when 17 is divided by f. 2 Suppose 13*c - 16320 = -c - 6*c. Calculate the remainder when c is divided by 32. 16 Let d(n) = 46*n - 969. What is the remainder when d(23) is divided by 13? 11 Let r = 48 + -23. Let z(u) = -u**2 - 16*u + 53. Suppose n - 108 = 7*n. What is the remainder when r is divided by z(n)? 8 Let t(j) = -109*j - 78. What is the remainder when t(-5) is divided by 26? 25 Let g = -6082 + 6128. Calculate the remainder when 2113 is divided by g. 43 Let h(x) = 15*x - 5. Calculate the remainder when (-6611)/(-110) + 2/(-20) is divided by h(2). 10 Suppose -2*x - 6*o + 116 = -2*o, -242 = -4*x + 2*o. Calculate the remainder when 113 is divided by x. 53 Let c = 2630 - 1995. Calculate the remainder when c is divided by 49. 47 Suppose -2*k = 5*x - 1591, 0 = 2*k - 5*x - 1478 - 43. What is the remainder when k is divided by 261? 256 Suppose -8535 = -11*k + 342. Calculate the remainder when k is divided by 28. 23 Suppose 26*z = 25*z, -3*r - z = -81. Let n(p) = 6*p**3 - 3*p**2 + 2*p + 2. What is the remainder when n(2) is divided by r? 15 Let i(l) = l**3 - 2*l**2 + 6*l - 4. Calculate the remainder when 6187 is divided by i(4). 51 Suppose 20*a - 62 = 198. What is the remainder when 157 is divided by a/(-26) + 99/6? 13 Calculate the remainder when (249/9 - -13)*6 is divided by 5. 4 Let x(i) = 2*i**2 + i - 2. Let m be x(-2). Suppose 0 = -m*n + 43 + 21. Let j(t) = 4*t**2 + 152*t + 9. Calculate the remainder when n is divided by j(-38). 7 Suppose 0 = -b - 4, 53 - 616 = -5*o - 3*b. Let i = o - 67. What is the remainder when 190 is divided by i? 46 Let b = -12787 + 12884. Calculate the remainder when b is divided by 43. 11 Let m = 129 + -90. Let y = -5812 + 6942. What is the remainder when y is divided by m? 38 Suppose -15*s + 17529 - 4044 = 0. What is the remainder when s is divided by 129? 125 Let t = 6956 + -6848. Calculate the remainder when 1066 is divided by t. 94 Let z be 225/18*((-52)/(-10) + -2). Suppose 4*n = 2*n - z. What is the remainder when 37 is divided by (68/n + -1)/((-3)/15)? 15 Suppose 2*v = -14, 2*y - 4*v - 436 = 1766. Calculate the remainder when y is divided by 209. 42 Let g be 4 + (2/(-2) - 0). Suppose -5*y = g*h - 434, 2*y + 5*h + 34 - 200 = 0. Suppose -100 = -39*r + 290. What is the remainder when y is divided by r? 8 Suppose 3*k = 5*k - 10. Suppose -2*u = 3*l - 12, -k*u = -l - 5 - 8. Let n(a) = -2*a**3 + 11*a**2 - 61*a + 410. What is the remainder when n(6) is divided by u? 2 Suppose j = 8 + 1. Let l(c) = 2*c**2 + 4*c - 77. Let f be l(8). Suppose -3*h + 46 = -h - 2*i, 3*h - f = -4*i. Calculate the remainder when h is divided by j. 7 Suppose 2*x - 220 = -4*f, -5*f + x + 275 = -0*x. Suppose -523*n + 538*n = 75. Suppose -n*p + 296 = 246. What is the remainder when f is divided by p? 5 Let n(b) = -b**3 - 38*b**2 - 34*b + 150. What is the remainder when 18600 is divided by n(-37)? 36 Let f = 3973 - 3953. Calculate the remainder when 1239 is divided by f. 19 Let j(b) = -b**3 + 13*b**2 + 166*b - 65. What is the remainder when j(-9) is divided by 112? 111 Let h = -2115 - -2696. What is the remainder when h is divided by 52? 9 Let y = 15836 + -15675. What is the remainder when 707 is divided by y? 63 Let h be (2/(-6))/(4/72). What is the remainder when 19 is divided by (-6 - (-87)/9)/((-2)/h)? 8 Let i be 0/2*3/(-6) + 3. Suppose -y - 10 = -i*y. Suppose 4*m + 603 = 5*g, -y*m = -2 + 12. Calculate the remainder when g is divided by 30. 29 Let t = 6 + -146. Let f be 8/t*-5 - 78/(-21). Calculate the remainder when 9 is divided by ((-2)/f)/(16/(-128)). 1 Let g be 3/(-9) + (-1152)/27. Let b = -22 - g. Let t(n) = n**2 + 2*n - 7. What is the remainder when b is divided by t(-5)? 5 Let q be 4243 + -1 + 1 + -3. Let y be (-8)/36 - q/(-45). Suppose y = -9*c + 823. What is the remainder when c is divided by 21? 18 Suppose 294*r - 3 = 295*r, 5*w - 23764 = -2*r. Calculate the remainder when w is divided by 23. 16 Suppose -43 = -5*x - d, -2*x - 3*d = -28 + 29. Let k(b) = 3*b**2 + 4*b + 3. Calculate the remainder when k(-4) is divided by x. 5 Let z(m) be the third derivative of -1/120*m**6 + 0 - 3/4*m**4 - 43*m**2 + 0*m + 17/3*m**3 - 4/15*m**5. Calculate the remainder when z(-15) is divided by 28. 23 Calculate the remainder when 886 is divided by (2/(-20)*-4)/(30/8325). 109 Let b(w) = 4*w**2 + 267*w + 1491. Calculate the remainder when 179 is divided by b(-6). 14 Suppose -x - 221 = -n, 5*x - 4*n + 817 + 284 = 0. Let m = 247 + x. What is the remainder when m is divided by 7? 2 Suppose -57*w = -10*w + 43*w - 2610. Let i(c) = 7*c + 2. Let b be i(3). Suppose 0 = -2*l + 9 + b. Calculate the remainder when w is divided by l. 13 Let s be 583 - (2*(3 - 7) + 4). Let c = 825 - s. What is the remainder when c is divided by 48? 46 Let z = 124 + -59. What is the remainder when 166 is divided by z? 36 Suppose 2*f = -3*d + 29, -3*f - 22 = -4*d - 6. Suppose -d*v + 2*v + 260 = 0. Suppose 324 = -70*c + 82*c. What is the remainder when v is divided by c? 25 Suppose 0 = 340*q - 332*q - 1808. What is the remainder when q is divided by 61? 43 Let d(j) = -75*j - 1. Let n(h) be the second derivative of 13*h**3/6 - h**2/2 - 2*h - 12. What is the remainder when d(-1) is divided by n(2)? 24 Let o(u) = 2*u**2 - 113*u + 252. What is the remainder when o(56) is divided by 92? 12 Let r = -6906 - -7134. What is the remainder when 3647 is divided by r? 227 Let j = 57 - 56. Calculate the remainder when 5049/66 - j/2 is divided by 14. 6 Suppose -4*c = -16 - 164. Let
{ "pile_set_name": "DM Mathematics" }
What is -12 - ((-7 - -17) + -13)? -9 Evaluate 2 - (-4 + (0 + 2 - -6)). -2 Evaluate -1 + (-6 + 5 - 1). -3 What is the value of (-10 + 3 - -3) + (2 - 0)? -2 (4 - (13 - 6)) + (-2 - -6) 1 Calculate 0 - (-7 + (10 - (-2 - -3))). -2 Evaluate 5 + -4 + -5 - (2 - 1). -5 Evaluate (2 - 1) + 1 + (1 - 0). 3 What is the value of -1 - (-1 - -2 - (5 + -4))? -1 What is the value of 3 + (4 - 2 - (2 - -6))? -3 Calculate (-21 - -17) + -2 + 4. -2 12 + -8 + 0 - 10 -6 (-4 - (4 - 6)) + -1 + -3 -6 What is (-4 - -6 - -5) + -3? 4 2 - 0 - (-6 - (-7 - -4)) 5 What is the value of -2 - (-4 + -1 + 0)? 3 What is -5 + 5 - (2 + -7)? 5 Calculate 0 + -4 + 7 + -2 + 6. 7 Evaluate 5 - (6 + (-5 - -9)). -5 Evaluate -4 + 14 + -49 + 37. -2 (0 - ((5 - 2) + -4)) + -1 0 What is the value of -1 + 0 - ((-11 - -8) + 5)? -3 Evaluate 2 + -16 + 7 - -14. 7 Calculate -1 - (-4 + (-2 - -3)). 2 Calculate -1 - 3 - (-15 - (0 + -16)). -5 Calculate -1 - -8 - (-69 + 76). 0 What is the value of 1 + -1 - (8 - (-14 + 18))? -4 Calculate (2 - (-1 + 3 - -5)) + 3. -2 What is the value of (-4 - (-10 - 3 - -3)) + -1? 5 -5 + 0 + 5 + 0 0 What is (-4 + 8 - 1) + -2 + 3? 4 Calculate (3 - (-1 - -6)) + 5 + -1. 2 What is -17 + 18 + (0 - 2) + 0? -1 What is the value of -3 - 1 - (5 + -11)? 2 Calculate (0 - -4 - (15 + -14)) + -1. 2 What is the value of 9 - (1 - (7 - 2 - 9))? 4 What is 0 + -10 - (15 + -19 - 2)? -4 -1 + (-9 - (-2 - 3)) -5 -7 + (-3 - (2 - 3) - -5) -4 -1 + 20 - (147 + -133) 5 Evaluate -6 + 2 - (-8 - -13). -9 Evaluate 5 - (2 - -2) - (-24 - -17). 8 (10 - 24) + (23 - -1) 10 What is the value of 2 - ((3 - -1) + (-2 - -2))? -2 Evaluate 4 + -5 + 1 + -2 - -4. 2 Calculate 0 + 3 + (-6 - (-15 + 9)). 3 What is the value of 2 - (-3 - -6) - 0 - 1? -2 What is the value of (4 - (-4 + 4 - -5)) + -4? -5 Evaluate 0 - 2 - (-9 - (-6 + -1)). 0 Evaluate 43 + -61 - (1 - 14). -5 What is -2 + -11 + 143 + -140? -10 What is the value of (-54 - -59) + 0 + 1? 6 Evaluate -5 - (-3 - 2 - 4). 4 -15 - (12 - (9 + 13)) -5 What is the value of 3 - (-1 + -5 - -7)? 2 What is 6 + -3 + -14 + 6? -5 Evaluate 0 + 6 + (-7 - (6 - 12)). 5 What is the value of 2 + (-2 - -1) - (3 - 2)? 0 What is -3 - -4 - -1 - (-7 + 10)? -1 -3 + (13 - (4 - (5 + -7))) 4 Evaluate -1 - ((1 - -13) + (-7 - 0)). -8 4 - (6 + -1) - (1 + -4) 2 What is -9 + 6 + 6 - 10? -7 Evaluate -4 + 12 + -2 + -4. 2 (35 - 42) + (-1 - -7) -1 Evaluate 17 + -24 + (-1 + 3 - 0). -5 Evaluate 7 + (4 - 1 - (0 + 5)). 5 Calculate -3 + -7 + (10 - 5). -5 What is the value of 0 + 2 - (6 + (-6 - -4))? -2 (5 - 24 - -7) + 3 -9 What is -2 - (0 - (-3 - -4))? -1 What is the value of -1 - 4 - -2 - (-3 + 1)? -1 What is the value of 6 - 13 - -14 - (-5 + 5)? 7 What is 5 + -5 - -6 - 9? -3 Calculate 0 - 4 - (0 - (10 + -7)). -1 (-1 - (-10 + (-5 - -2))) + -5 7 Evaluate 2 + -8 + (0 - -5). -1 Evaluate -2 + 1 + 4 - (8 + -10). 5 -4 + (2 - (-5 - -2)) 1 What is -2 + (7 - (-4 + 9))? 0 What is 2 - (1 + 0 + -2)? 3 What is -3 - (-4 + (2 - -2))? -3 -1 + -1 + 3 + -1 - -1 1 What is -10 + 1 - (-96 - -82)? 5 What is -2 - (-13 + 13 - (0 + -2))? -4 Calculate 2 - 14 - (110 + -113). -9 Evaluate (-2 - -6) + -11 - -10. 3 5 - (-5 - -8) - 5 -3 Calculate -2 - (-3 - (4 - 3)). 2 (-6 - 5) + -5 + 12 + -1 -5 What is the value of 5 + -4 + (3 - (5 - -3))? -4 Calculate 0 - ((-5 - -1) + -10 + 10). 4 Evaluate 5 - (-6 - (-3 - 3)). 5 Calculate (3 - (1 - -16)) + 6. -8 (-3 - 0) + -10 + 10 - -5 2 Evaluate 6 + -7 + -5 + 2. -4 What is (2 - (4 - 3)) + 4? 5 What is the value of -4 + 0 + -4 + 4? -4 3 + 9 + -21 + (7 - 1) -3 What is the value of 0 + (6 - (-5 + 6))? 5 Calculate 6 + (-6 + -6 - -5). -1 Evaluate -4 - (-3 + (-2 - -5)). -4 What is the value of 2 + (-12 + 14 - (-2 + 2))? 4 Calculate -7 + 1 + (5 + 12 - 14). -3 0 - 8 - (10 - 17) -1 Calculate 6 - (15 - (2 + 2)). -5 Calculate (0 + 3 - 3) + 3. 3 Evaluate 4 + (-5 - 3) - -4. 0 (0 + -1 - -5) + -6 -2 Evaluate 55 - 66 - (-13 + 2). 0 What is the value of 24 + -20 - (14 - 0 - 0)? -10 Calculate (-6 - -2) + -17 + 18 - -10. 7 What is the value of 9 + (-1 - 4) - 6? -2 Evaluate -9 - -11 - (4 + -7). 5 Evaluate (-5 - (5 + -4)) + 10 + -11. -7 What is -8 - (1 - 5) - -3? -1 What is 3 + (-1 - 2) - 3? -3 Calculate 6 + (2 - (-5 + 8) - -1). 6 Calculate 5 + -10 + -4 + 11 + -6. -4 -1 - -2 - (3 - -2) -4 Calculate (-20 - -9) + 10 + 6. 5 What is -3 - (-8 + (-6 - -5)) - 0? 6 Calculate 6 - 7 - (2 - 0). -3 Calculate 3 - ((4 - (3 - 2)) + 5). -5 Calculate 36 + -39 - (1 + 0 + -2). -2 Calculate -1 + 5 - 9 - -5. 0 Evaluate (-7 - (2 - 4) - -10) + -6. -1 What is the value of 4 + (-3 - 5) + 6 + 2? 4 What is the value of 11 + -4 + -3 + 3 + -1? 6 Calculate 10 - 3 - (7 + -4). 4 Calculate (5 - (0 - -3)) + -5 + -2. -5 What is the value of 2 + -3 + 1 + (1 - 5)? -4 Evaluate 1 - (-7 - (-4 + 0)). 4 What is the value of -2 + -2 - (46 + -49)? -1 What is the value of 3 - (8 + 0) - -1? -4 What is -11 - (-12 + -9) - 8? 2 -4 + 14 - (1 + 4) 5 Evaluate 0 + -1 + (-13 - -17). 3 Evaluate (0 - 2) + 11 + 12 + -15. 6 Calculate -4 - (11 + -10 - 7). 2 What is 5 - ((1 - -2) + -4 + 0)? 6 What is -1 + 23 + (1 - 13)? 10 (-4 - -9) + (-12 - -10) 3 What is the value of -60 - -60 - (2 + 5 - 2)? -5 Evaluate 2 + 3 + -1 + -2 + 4. 6 What is 55 + -56 - (-3 + -1)? 3 (-3 - -11) + 15 + -15 - -2 10 Calculate 0 - -4 - (-2 - -5). 1 Evaluate (25 - 33) + 3 + 3. -2 What is 1 + -6 + 4 - 0? -1 What is the value of -1 - (-10 - -11 - (-1 + 5))? 2 Calculate 4 + (0 - -2) + -1 - 3. 2 Evaluate (-18 - -21) + -3 + (0 - -2). 2 What is -2 + (0 - -4) - 5? -3 1 - -1 - (-2 - -4) 0 What is the value of (2 - 0) + -3 + (-1 - -4)? 2 What is 4 - 2 - 9 - -13? 6 7 - (0 + 3 + -3 + 2) 5 What is 5 + -7 + (10 - 5)? 3 Evaluate -3 + 0 - (-20 + 17). 0 Calculate -1 - 0 - (-10 - -29 - 21). 1 Evaluate -2 + (-1 + (6 - 7) - 4). -8 Evaluate 0 - (2 - (-2 - -6)). 2 -7 + 3 + (-1 - (-2 - -1)) -4 What is the value of (4 - 3 - -2) + 2 + -2? 3 What is -38 + 41 + (0 - 5)? -2 What is 22 - 7 - (-8 - -16)? 7 What is 0 + 2 - (-3 + 4 - 3)? 4 What is the value of (3 - (3 - 8)) + (-5 - -2)? 5 Evaluate (-1 - -2) + (-13 - -14). 2 What is 8 + -9 + (1 - (2 - 5))? 3 What is (2 - 0) + -1 + -126 + 132? 7 7 - -2 - (12 - 6 - 3) 6 What is 4 - ((2 - 3) + 2) - -3? 6 What is the value of 4 + -3 + 1 - -1? 3 Evaluate 5 + (0 - 4) - (1 + -1). 1 What is the value of (-3 - -3) + -9 + 15? 6 (-6 - -6 - 1) + (-1 - -4) 2 What is (2 + 2 - -1) + -10 + 9? 4 What is the value of (-3 - 0) + 3 + (-5 - -1)? -4 0 - 0 - (9 + -6 + 0) -3 8 - -1 - 9 - -6 6 Evaluate -1 - 2 - ((-2 - -4) + -5). 0 (0 - -2 - (-6 + 5)) + 0 3 What is (-1 - -6) + 1 + -1? 5 Evaluate 24 + 3 + -9 - 12. 6 4 + -1 + -19 + 15 -1 Evaluate -8 - (-9 + 4 - 4). 1 Calculate -4 + 0 + 3 + 8 - 3. 4 Calculate (15 + 0 - (38 - 33)) + -3. 7 4 - (-4 + (2 - -4)) 2 What is the value of (4 - (-6 + 9)) + (4 - 13)? -8 What is -2 - ((2 - 10) + 6 + -2)? 2 Evaluate 4 + (-1 - 2 - 2). -1 Evaluate -2 + 4 + 4 + -2. 4 (85 - 83) + -10 + 1 -7 What is 1 + -5 + 3 - -2? 1 Evaluate 0 + -5 - (8 - (9 - -4)). 0 What is -2 + 13 + (-10 - -5)? 6 What is 2 - (4 - (9 - 4) - -6)? -3 Evaluate 4 + (-9 - (2 + -7)). 0 Calculate 3 + -1 + 4 + -3 + 2. 5 What is (-1 - -4) + -4 - (-2 - -3)? -2 -14 - (-24 + 11 + 2) -3 Calculate 7 + (-4 + 12 - 7) + -4. 4 -2 + (3 - 1) + (2 - -2) 4 Evaluate (-9 - -9) + 1 - 0. 1 Calculate (-8 - (-3 + -9)) + (1 - 1). 4 Evaluate 1 + 3 + -1 + -8. -5 What is the value of 1 + -1 + 1 + -6 + 8? 3 What is 7 + (7 - -5) + -23? -4 What is the value of 3 + (1 - (5 + -2 + -4))? 5 Calculate -1 - (-10 - -14) - -10. 5 Calculate (1 - (6 + -2)) + (0 - -6). 3 (5 - 7 - (-4 + 2)) + -4 -4 Calculate (4 - 2) + -17 + 16. 1 (-3 - 0 - -2) + 0 + 1 0 -2 + (-2 - -4) - 1 -1 Calculate -2 + -7 - (-6 - -2). -5 (-2 - (3 + -6 + -5)) + -6 0 What is 0 + (4 - (-2 + 4 + 5))? -3 What is the value of (0 - (-1 - -1)) + -1? -1 1 + 12 + -6 - (5 - 1) 3 Evaluate -2 + 2 - ((-1 - -1) + 5). -5 Calculate (9 + -8 - 8) + 10. 3 Calculate 4 + -2 - 1 - -3. 4 What is the value of 5 + -5 + (-4 - -9)? 5 What is 48 - 50 - (3 + -4)? -1 What is the value of (-24 - -5) + 8 - -4? -7 What is (-22 - -31) + -19 + (6 - -1)? -3 Calculate (-36 - -29) + -5 - (-2 - -1). -11 Evaluate 6 + (1 - 2) + -3 + 0. 2 5 + (-1 - 5) - 3 -4 (-3 - 14 - -1) + 11 -5 Evaluate -9 + (14 - 8) - (-2 - 2). 1 -6 + -4 + (2 - -10 - 2) 0 Evaluate (4 - -2) + -10 + 8. 4 What is 0 - 0 - (18 - 19) - 5? -4 What is 3 - (9 + -5) - 2? -3
{ "pile_set_name": "DM Mathematics" }
70? 3361161 In base 15, what is 2 - b2a609b? -b2a6099 In base 4, what is -2032010120101 - 11? -2032010120112 In base 15, what is -97 - -3269? 31c2 In base 13, what is 3 - -2ba9? 2bac In base 8, what is -4767 - -176263? 171274 In base 3, what is -112 - 121002101120? -121002102002 In base 7, what is 4 + 336225456? 336225463 In base 9, what is -126347 + -73? -126431 In base 5, what is -1424 + 3344304? 3342330 In base 6, what is 2 - -4411535545? 4411535551 In base 7, what is 2436660 + -3250? 2433410 In base 14, what is 346849 + -274? 3465b5 In base 2, what is 10100 + 1110110100001111011? 1110110100010001111 In base 7, what is -10103502 + 44? -10103425 In base 13, what is -1 + -18683b8? -18683b9 In base 11, what is 298 - 129aa8? -129810 In base 11, what is 67a - -339566? 33a135 In base 10, what is -3207965 + -6? -3207971 In base 15, what is -4059970 - -5? -405996a In base 13, what is 12a48 - 76? 129a2 In base 2, what is 1101001000001110100100 + -1001101? 1101001000001101010111 In base 9, what is 21 - 1418271? -1418250 In base 6, what is -2 - -13351113? 13351111 In base 15, what is -5 - -2ab8e8? 2ab8e3 In base 16, what is 34a + -6f26? -6bdc In base 6, what is -42 + -1035012425? -1035012511 In base 8, what is -25021 - 4631? -31652 In base 14, what is -1052 + -21d6? -3248 In base 16, what is -d + -ad8c01? -ad8c0e In base 9, what is -1843446745 - 0? -1843446745 In base 7, what is -4 - -106526630? 106526623 In base 14, what is 64a + 3608? 3c54 In base 2, what is -1100011001000011001111011 + -110? -1100011001000011010000001 In base 13, what is c316606 - -3? c316609 In base 16, what is -24c4671 + 1d? -24c4654 In base 9, what is -27126130 - -6? -27126123 In base 14, what is -cb6 + 1c5? -ad1 In base 13, what is -37 - -279487? 279450 In base 6, what is -1104012 + -1353? -1105405 In base 14, what is 438 + -3296c? -32534 In base 13, what is -4 + 20c859b? 20c8597 In base 13, what is 75a + 6851? 72ab In base 10, what is 170 + 144027? 144197 In base 13, what is -c689 + -241? -c8ca In base 10, what is -338736 - 1290? -340026 In base 12, what is 6035a - 451? 5bb09 In base 8, what is -14415032 + 3? -14415027 In base 12, what is 13 + 127a65? 127a78 In base 3, what is 221020 - -11002212210101? 11002220201121 In base 4, what is -11 - 200311002203? -200311002220 In base 2, what is -1111001100100110 + -111011? -1111001101100001 In base 16, what is -1768 + 1b? -174d In base 4, what is 2310221002 - 110? 2310220232 In base 14, what is -1199c961 - 2? -1199c963 In base 11, what is -16 + -2744792? -27447a8 In base 16, what is -3 - 19d537? -19d53a In base 7, what is -6146325 + 6? -6146316 In base 8, what is -21733142 - -2? -21733140 In base 9, what is -300 + -27816? -28216 In base 10, what is -166086 - 7391? -173477 In base 4, what is -2 - -13001310211? 13001310203 In base 12, what is b3 + 329b89? 32a080 In base 12, what is -2166 + -3139? -52a3 In base 8, what is 726662501 - -4? 726662505 In base 6, what is -10412040014 + 3? -10412040011 In base 2, what is 10100101010101010100101 + -10? 10100101010101010100011 In base 15, what is 35 - -5554? 5589 In base 3, what is 102010110 - -221120? 110002000 In base 12, what is -11095a37 - 5? -11095a40 In base 14, what is 56c0b + 2a? 56c37 In base 3, what is 100020220020112100 - 11? 100020220020112012 In base 10, what is -4849 + -2736? -7585 In base 6, what is -1 - 145511531? -145511532 In base 3, what is 211121122002002 - -10? 211121122002012 In base 10, what is 4782858 + 14? 4782872 In base 15, what is 5e - e715? -e6a6 In base 8, what is 641743 - -33? 641776 In base 5, what is 340314 - 121? 340143 In base 5, what is -143 + 131234040? 131233342 In base 3, what is -102 - 1001102101202? -1001102102011 In base 15, what is 2 + 14a5b0? 14a5b2 In base 9, what is -2028 - -184418? 182380 In base 3, what is 1022200 - 102112002121? -102110202221 In base 4, what is -120032120 + 100200? -113331320 In base 9, what is 1702330 + 12? 1702342 In base 13, what is -5301a10c - -3? -5301a109 In base 2, what is -10111001111000110 - -111100010? -10111000111100100 In base 15, what is 4 + -8c95a? -8c956 In base 10, what is -5 + -3157302? -3157307 In base 15, what is 1d6a + -1100? c6a In base 13, what is -7 - 974049? -974053 In base 5, what is -1043241 + -10400202? -11443443 In base 16, what is 15 + 11377c? 113791 In base 10, what is 32043 + 253? 32296 In base 8, what is 251641 - -2365? 254226 In base 5, what is 1 - 2202113104? -2202113103 In base 11, what is -866a9041 - 2? -866a9043 In base 16, what is 9 + -70708? -706ff In base 12, what is 6 - -217b501? 217b507 In base 16, what is a3c9 - 11ba? 920f In base 8, what is 275 + -457030? -456533 In base 9, what is 2 - 8852645? -8852643 In base 13, what is -c67c48 + 7? -c67c41 In base 13, what is 3 - -65430c? 654312 In base 3, what is 0 + -2212220220002? -2212220220002 In base 2, what is -111100001001000001111101111 - -11? -111100001001000001111101100 In base 7, what is 52143 + -1112? 51031 In base 13, what is -1 + cc2324a? cc23249 In base 13, what is 1c45bb4 - 12? 1c45ba2 In base 7, what is 610633 + 113? 611046 In base 11, what is -1119a85a - 0? -1119a85a In base 6, what is 3323122 + -45043? 3234035 In base 13, what is -38 - 1b4ba2? -1b4c0a In base 8, what is -2562353 + 654? -2561477 In base 16, what is -184a071 - 4? -184a075 In base 14, what is -1696732 - 1c? -1696750 In base 6, what is 1 - -405503212? 405503213 In base 15, what is 5 + 3004ec5? 3004eca In base 2, what is -101011011111111 - 11111100? -101011111111011 In base 5, what is 0 + -2422102043? -2422102043 In base 16, what is -6c3 + -3358? -3a1b In base 4, what is -223103200 - -3? -223103131 In base 14, what is -80 + b585c? b57bc In base 7, what is 4 - 3204401? -3204364 In base 10, what is -34 - 366376? -366410 In base 13, what is 5c7 + -39aa? -33b3 In base 16, what is 94d5de + 6? 94d5e4 In base 11, what is 1341 - aa15? -9684 In base 6, what is 114025 + -1152404? -1034335 In base 4, what is -123021211021 - 3? -123021211030 In base 6, what is -213 + 2334043? 2333430 In base 2, what is -11011101110100110110110101100 + -10? -11011101110100110110110101110 In base 16, what is -335 - -1f9be? 1f689 In base 5, what is -23331 - 3343243? -3422124 In base 6, what is 255000355 + 0? 255000355 In base 12, what is 5 - -2102768? 2102771 In base 7, what is 2144 + -12602? -10425 In base 3, what is -102110211101 + -2102? -102110220210 In base 15, what is 9 - 14201a40? -14201a36 In base 7, what is -3 + -6014261? -6014264 In base 2, what is -101 + 11000100101110000000101? 11000100101110000000000 In base 8, what is 1347 - 53430? -52061 In base 13, what is -900a9 + -2ac? -90388 In base 6, what is 122225 + -3511? 114314 In base 15, what is -1d + -1675aab? -1675ac9 In base 6, what is -5 - 1150310023? -1150310032 In base 3, what is 120111100210122 - 22? 120111100210100 In base 14, what is -12cb + -2950? -3c3b In base 13, what is -168 - -13747? 135ac In base 4, what is 123 - -102312110122? 102312110311 In base 11, what is -7310482 - 0? -7310482 In base 6, what is -212 - 305540? -310152 In base 3, what is -1001200002022211 - 11? -1001200002022222 In base 13, what is 107c0 + -77c? 10041 In base 6, what is 100 + 2551252? 2551352 In base 16, what is 5a419d + 0? 5a419d In base 14, what is 24c148 + -7? 24c141 In base 6, what is 221144023 - -4? 221144031 In base 7, what is 325 + 11603? 12231 In base 7, what is -1316502552 - 2? -1316502554 In base 5, what is 342 - -14400022? 14400414 In base 11, what is -581940 - 2? -581942 In base 2, what is -101100101 - 11101101100011000? -11101110001111101 In base 14, what is -30 - -18b82? 18b52 In base 8, what is 142 - 6262463? -6262321 In base 8, what is -15066 + -655? -15743 In base 15, what is b + -bb51a? -bb50e In base 13, what is -40956a - -7? -409563 In base 6, what is -10 + 2421003324? 2421003314 In base 2, what is -11100 - 10110010000000110100? -10110010000001010000 In base 5, what is -103423430 + 3300? -103420130 In base 16, what is e2e4 - 2bc? e028 In base 12, what is -16041535 - -3? -16041532 In base 16, what is 4 + -31ec76e? -31ec76a In base 5, what is 13031441 + -13104? 13013332 In base 14, what is -c83 - -344c1? 3363c In base 10, what is 2843585 + -5? 2843580 In base 15, what is -1315dd + -2a? -131618 In base 3, what is 12021110100 - -111
{ "pile_set_name": "DM Mathematics" }
o -3/4? (a) 19 (b) -4 (c) 1/8 c What is the nearest to -0.11 in 3, -7, 5, 2265? 3 What is the closest to 1/2 in -14, 17, 4, -4, 1/12? 1/12 Which is the closest to -1/5? (a) -1/686 (b) -5 (c) 15 a What is the closest to 23 in -0.4, -9, -0.5, 3, 4/5? 3 What is the nearest to -0.2 in 4, -1, 188, -2, 0.4? 0.4 What is the nearest to -1 in -312, -2/5, 0.5? -2/5 What is the closest to -2 in 8.07, -4, -1, 3/2, -2? -2 What is the closest to 5 in -2, -94/13, -1, 2? 2 Which is the closest to -5? (a) -71/6 (b) 2/7 (c) -3 (d) 3 (e) 0.4 c What is the nearest to 1/41 in -1, -2/11, 6, 5, 4? -2/11 What is the nearest to -1/13042 in -2/5, 1/4, 0? 0 What is the closest to 1 in -12, -0.1, -11, -8, 3/5? 3/5 What is the nearest to 1/374 in 0.4, 1/4, -6/11, -0.4? 1/4 Which is the nearest to 9829? (a) -0.1 (b) -3 (c) -13 a What is the closest to 0.1 in 53, 17, 0.3? 0.3 Which is the closest to -0.05? (a) -0.4 (b) -8/7 (c) 3/26 c Which is the closest to -10268? (a) 2/15 (b) 29 (c) 0.4 (d) 0 d Which is the closest to 1/3? (a) 1 (b) 34/7 (c) -75.17 a What is the nearest to 0 in 0.5, 315, -5, 1, -5/14? -5/14 Which is the closest to 6? (a) -4/3 (b) -2 (c) -6/29 (d) 7 (e) 20 d What is the nearest to 2 in -14, 2/13, -0.014, 0.4, -5? 0.4 What is the nearest to 2 in 8, 3/4, -173? 3/4 Which is the nearest to 43/9? (a) 1/3 (b) 0.8 (c) -6 (d) 4 d What is the nearest to -1/2 in 0.5, -0.2, 0.04, -409? -0.2 Which is the closest to 4? (a) 1 (b) -325 (c) 0 a What is the nearest to -208 in -2, -0.035, 2? -2 What is the closest to -1/3 in 1/4, -187, 3, 0.2, 6/7? 0.2 Which is the nearest to 33/8? (a) 0.086 (b) -2 (c) -1/3 a What is the nearest to 2/3 in -0.1, -20, 2/3, -1, 4? 2/3 Which is the closest to -1/371? (a) -4 (b) -5 (c) 0.8 (d) 1/4 (e) 1 d What is the closest to 2/5 in 4, 626/7, 23? 4 What is the closest to 106 in 5/2, 0.3, -5? 5/2 What is the closest to 1 in -1287/7, 0, -4, -1? 0 What is the closest to -0.1 in 0.5, 1/8, -1.8, -9, -2/5? 1/8 Which is the closest to 1/6? (a) -1 (b) -0.4 (c) -27 (d) 13 b Which is the closest to -0.07? (a) -2 (b) 409 (c) -4/7 c Which is the nearest to -11/9? (a) -3 (b) -2 (c) -1/2 c What is the closest to -1/3 in 0, -0.1316, 3? -0.1316 What is the nearest to -492 in -12, -1, 0, -5? -12 What is the closest to -2 in 0.3, -34, -7/13, 3, 1? -7/13 Which is the closest to 0? (a) -0.3 (b) -734 (c) -27 (d) 1 a What is the closest to 36 in -0.193, 2, -1/4? 2 What is the nearest to 2/13 in 26, 2/5, -1? 2/5 Which is the nearest to -1? (a) -3/7 (b) 2/9 (c) 2/149 (d) 19 a What is the nearest to -2 in -0.2, 0.02, -9, -1? -1 Which is the nearest to 0? (a) 0.18 (b) 1/10 (c) -6/53 (d) -4 (e) -12 b What is the nearest to -397/4 in 1, -811, -2/19? -2/19 What is the nearest to 10 in -0.01, -2/13, -4, 4/7, 3? 3 Which is the closest to 34? (a) -1.7 (b) 1/5 (c) 0.4 (d) 1/3 c Which is the nearest to 5.6? (a) -223 (b) 4 (c) -0.3 (d) 3 (e) -5 b Which is the nearest to 0.3? (a) -29/6 (b) 6.6 (c) -33 a Which is the closest to 1? (a) -37 (b) 37 (c) -0.3 c Which is the closest to 1755? (a) -0.4 (b) 7 (c) -1/5 b What is the closest to -5 in -5, 0.4, 0.2, 29, 7? -5 What is the closest to -1 in 5, 0.1, -1/3, -1, -10? -1 What is the nearest to 0 in -5, 2/7, -0.3, -35, 3/5? 2/7 What is the closest to -4 in -4.2, -1, -0.4, 0.02, -6/7? -4.2 What is the nearest to -687 in -0.5, -4, 40, 3/4, 2/3? -4 Which is the closest to -2/3? (a) -301 (b) 0.4 (c) 2/7 (d) -6/5 d What is the closest to 0 in 0, 1, 1183944? 0 What is the closest to 2/5 in -3, -1, 34, 3, -0.016? -0.016 Which is the nearest to -1? (a) 11 (b) -3 (c) 10 (d) -0.4 d Which is the nearest to -2? (a) -2.3 (b) 3 (c) -0.34 (d) 0.23 (e) -3 a What is the closest to 30 in -54, 17, 1/3, 1/2, 1? 17 What is the nearest to 1 in -2, -16, 0.057, -0.4? 0.057 What is the closest to 1 in -0.3, 33, -1? -0.3 Which is the closest to 2/7? (a) 0 (b) 1/6 (c) -0.5 (d) 2633 b What is the nearest to 2 in 2/3, -1/8, 11/41? 2/3 What is the closest to 0 in 9, -1/3, 554, 1/4? 1/4 What is the nearest to -325/7 in 2/5, -1, -2/7, -2.1? -2.1 What is the closest to 39 in 68, -0.02, -3? 68 Which is the nearest to 1.4? (a) 35/17 (b) 0.2 (c) 0.3 a What is the closest to 6 in -0.2, -3816, 1? 1 What is the closest to 2 in 1/67, -0.02, -32/3? 1/67 What is the closest to 10 in -865, -5, -7? -5 Which is the closest to -271? (a) -2/169 (b) 5 (c) -6 c Which is the nearest to -11? (a) -1/8 (b) -0.2 (c) -1.2 (d) 3 c What is the closest to 2 in 3/7, 0.3, 400? 3/7 Which is the nearest to -2/3? (a) 32 (b) -3 (c) 3 (d) 5 b What is the closest to -1 in -3, -1/37, -7/4, -4/7? -4/7 What is the closest to 187 in 2, 0.6, -0.03, -2/7? 2 What is the closest to -2415 in 1/3, -5, 1/13? -5 Which is the closest to 1? (a) 0.17 (b) -1/3379 (c) 5 a Which is the closest to -4/5? (a) 19 (b) -0.3 (c) -4 (d) 4 b Which is the closest to -37? (a) -4 (b) -88 (c) -3 a Which is the nearest to -8944? (a) -2 (b) 0.3 (c) 0.02 a Which is the nearest to -3? (a) -1 (b) -1.17 (c) -0.3 (d) -2/5 (e) 0.03 b Which is the nearest to 107? (a) -14 (b) 1/5 (c) -0.4 (d) 4 (e) 5 e Which is the closest to 2/9? (a) -16 (b) 3/7 (c) 29 b Which is the nearest to -23? (a) -1/8 (b) -145 (c) 61 a Which is the nearest to 0? (a) 4 (b) 0.014 (c) 9.9 (d) -3 b What is the closest to 2 in 216.48, 4, 1/5? 1/5 Which is the closest to 2/3? (a) 3 (b) -1/5 (c) 0.3 (d) 32.22 c Which is the nearest to 1? (a) 2273 (b) -2 (c) -3 (d) -4 (e) 1 e What is the nearest to -16 in -0.05, -0.3, -232/5? -0.3 What is the closest to 3 in -0.5, 3, 68, -2/19? 3 Which is the closest to -46/9? (a) 0.3 (b) -0.5 (c) -0.03 b Which is the closest to 4493? (a) -0.3 (b) 4 (c) 1/2 (d) -5 b What is the nearest to -4/5 in 5, 3, -779? 3 What is the closest to 11 in 2/9, -30, 8, 0.3? 8 What is the nearest to 17 in 1, 1/654, 2/23, -1/6, 0.3? 1 What is the closest to 1 in 27, 0, -8, 4, 0.25? 0.25 Which is the nearest to -2/11? (a) 2/5 (b) -40 (c) -2/5 (d) -5/2 (e) 1/3 c What is the closest to -0.1 in 7, -5, 0.065, -2/3? 0.065 What is the closest to 1/2 in -2/3, 31, -0.4? -0.4 What is the closest to -152 in -2/11, 0.2, 5/2, -5? -5 What is the nearest to -0.3 in -1, -0.5, -0.03, 2? -0.5 What is the nearest to 0.3 in 5/3, 44, 5, 1/5? 1/5 Which is the closest to 5/2? (a) -155 (b) -0.2 (c) 2/9 c What is the nearest to -3 in -4/5, 10/7, 5, 1? -4/5 What is the nearest to -214 in -1/7, -0.4, -0.072? -0.4 What is the closest to 0 in -0.5, 0.12, 13/6, 4? 0.12 Which is the closest to 3/7? (a) -0.3 (b) -5/7 (c) -2/265 (d) 0.3 d What is the closest to 0.052 in 0.5, 2/11, 31/4? 2/11 Which is the nearest to -2/5? (a) -4 (b) -0.2 (c) 7/6 (d) -0.9 b Which is the nearest to -0.1? (a) 1 (b) -3 (c) -6/497 (d) -2/11 d Which is the nearest to 1? (a) 9 (b) 0 (c) -62 (d) 0.3 d What is the nearest to 1 in -9/2, -0.08, -99? -0.08 Which is the nearest to -0.396? (a) -1/8 (b) 0.4 (c) -4 (d) 0.5 (e) 105 a What is the nearest to -1/4 in 6.25, 0.5, 0.4, 4? 0.4 What is the nearest to 0 in -0.8, 0, 3, -2/15, -66? 0 Which is the closest to 1/3? (a) 0.06 (b) -6/5 (c) 2 (d) 4 (e) 3/16 e Which is the closest to 1? (a) -0.09 (b) 0.02 (c) -0.24 (d) -4 b What is the nearest to -107 in 0, -0.4, -21? -21 Which is the closest to 14/3? (a) -0.5 (b) 4 (c) -1/5 (d) 0 (e) -44 b Which is the nearest to 0? (a) 1/2 (b) 0.03 (c) -1/5 (d) -170.2 b Which is the closest to 0.15? (a) -3/5 (b) -0.4 (c) -2 (d) 855 b What is the nearest to -0.1 in 8, -0.02382, 1? -0.02382 What is the nearest to 0 in 0.6, -1.1, 6, -1/10? -1/10 Which is the closest to 0.1? (a) 3/7 (b) -0.11 (c) 1.009 b What is the nearest to -1/3 in -3, -19, 10/9, 4/9, 2? 4/9 Which is the nearest to 5/3? (a) 32/3 (b) 0.16 (c) -0.4 b What is the closest to -1/2 in -0.04, -0.1, 38.9, -4? -0.1 Which is the nearest to -37? (a) -2 (b) -0.15 (c) -0.2 (d) 2 a What is the nearest to 119 in -2, 3, 9, 0.1, 1? 9 What is the nearest to -2/111 in 0, -6, -110.6, 4? 0 What is the nearest to -1 in 72, -3/2, -0.4, 283? -3/2 Which is the closest to 320? (a) -0.8 (b) -0.5 (c) -0.4 (d) -5 (e) 3 e What is the closest to 2/5 in 2/5, 2/13, -9, 8, -25?
{ "pile_set_name": "DM Mathematics" }
s 1228676831 a multiple of 34? False Is 22833230 a multiple of 917? False Is 44231232 a multiple of 12? True Does 468 divide 34754616? True Is 575 a factor of 2768846375? True Is 1360389225 a multiple of 3028? False Is 5 a factor of 768712486? False Is 3090 a factor of 1965002070? True Is 258 a factor of 566239833? False Is 3785311 a multiple of 411? False Does 511 divide 93238593? True Is 418262896 a multiple of 664? True Is 541 a factor of 1034189125? True Is 588 a factor of 2604463? False Does 1881 divide 1409869692? True Does 1071 divide 239709873? False Is 50 a factor of 182411750? True Is 15933324 a multiple of 66? True Is 5764819 a multiple of 185? False Does 379 divide 27576419? True Does 874 divide 19422431? False Does 161 divide 1032661897? False Is 583145652 a multiple of 4620? False Is 1078 a factor of 6507756640? True Is 37199550 a multiple of 50? True Is 32031360 a multiple of 12? True Is 41 a factor of 34582921? False Is 4455305254 a multiple of 14? False Is 3579 a factor of 812483106? True Does 4168 divide 1510398597? False Is 58 a factor of 11748369? False Is 193 a factor of 24872853? False Is 6417513 a multiple of 7? False Is 1590 a factor of 1752587040? True Is 38205110 a multiple of 10? True Does 328 divide 149099761? False Is 19 a factor of 71310135? True Is 3686102 a multiple of 23? False Is 206 a factor of 161265246? True Does 470 divide 2276756175? False Does 261 divide 4406625? False Is 167629831 a multiple of 30? False Does 32 divide 3130080? True Is 93 a factor of 278210058? True Is 26278340 even? True Is 349759519 a multiple of 70? False Is 37 a factor of 724369683? True Is 240974800 a multiple of 550? True Is 13212 a factor of 631797840? True Is 91263590 a multiple of 1676? False Is 6676299 a multiple of 7? True Does 457 divide 1077572639? True Is 28431588 a multiple of 1426? True Is 4587806 even? True Is 17583120 a multiple of 58? False Is 32 a factor of 266017472? True Does 170 divide 268464000? True Is 152 a factor of 212490224? True Is 508 a factor of 15445149? False Does 864 divide 329819842? False Does 2350 divide 1124205443? False Is 86528470 a multiple of 14? True Is 7611421 a multiple of 640? False Does 705 divide 205996065? True Does 86 divide 10780186? True Is 69 a factor of 780631776? True Does 122 divide 27779538? False Is 2171 a factor of 28770092? True Is 54514718 a multiple of 1713? False Does 2 divide 124726142? True Does 87 divide 321090841? False Is 96 a factor of 1050314348? False Is 1220 a factor of 93111620? True Does 677 divide 10894284? True Is 97 a factor of 307064849? True Is 1128 a factor of 73543344? True Is 10880512 a multiple of 319? False Is 48124468 a multiple of 28? True Is 222438 a multiple of 3? True Does 237 divide 199751628? False Is 23 a factor of 380545475? False Is 3451 a factor of 1907993715? False Does 730 divide 38791052? False Is 3 a factor of 179519461? False Is 258 a factor of 127568964? False Is 8796254 a multiple of 6? False Is 390001157 a multiple of 91? True Is 4101581 a multiple of 1700? False Does 2504 divide 49288017? False Is 2064086600 a multiple of 20? True Does 11 divide 8099248? False Is 212 a factor of 137389992? True Is 327027472 a multiple of 671? False Is 91 a factor of 22593662? True Does 59 divide 22792585? True Is 124 a factor of 530890624? True Is 24 a factor of 99112872? True Does 168 divide 336631782? False Is 8961892 a multiple of 52? False Is 19 a factor of 647033725? False Is 1111 a factor of 15727316? True Is 153064732 a multiple of 62? True Is 1319 a factor of 2591694266? False Is 160 a factor of 2066065876? False Does 500 divide 52413000? True Does 92 divide 42425409? False Is 2781 a factor of 295703730? True Is 630405804 a multiple of 12374? True Does 100 divide 71761048? False Is 210559908 a multiple of 156? True Is 8767968 a multiple of 352? True Is 24 a factor of 268748496? True Does 601 divide 5055612? True Is 298521408 a multiple of 8? True Does 136 divide 51104? False Does 193 divide 1100993795? False Is 35 a factor of 28536165? True Is 50447832 a multiple of 2? True Is 3353934 a multiple of 687? True Does 51 divide 25853277? True Is 5 a factor of 12268071? False Is 8 a factor of 1273331? False Is 22 a factor of 4707091356? True Is 31769375 a multiple of 3241? False Does 630 divide 1987268850? True Is 679 a factor of 152988206? True Is 357 a factor of 21672042? True Is 70150561 a multiple of 13? True Does 213 divide 9952851? True Does 56 divide 1453896383? False Does 13 divide 4595682? True Is 863534202 a multiple of 11? False Is 597526410 a multiple of 1747? True Does 924 divide 664968056? False Is 178567453 a multiple of 499? False Is 75 a factor of 2233171448? False Does 1015 divide 123791430? True Is 3521 a factor of 1466609394? False Is 53189687 a multiple of 25? False Does 29 divide 43491416? True Is 159063450 a multiple of 1075? True Is 1871 a factor of 1677944452? False Is 229 a factor of 1929797885? True Is 191 a factor of 2163201454? False Is 1954 a factor of 44617790? False Is 305147860 a multiple of 20? True Is 2230 a factor of 10610340? True Is 780116946 a multiple of 81? False Is 12047 a factor of 109606395? False Is 67 a factor of 6136586816? True Is 3044856841 a multiple of 5463? False Is 292709720 a multiple of 305? True Is 831 a factor of 5228449? False Is 7 a factor of 1821043? True Is 17415430 a multiple of 86? True Does 8 divide 161904968? True Is 248355117 a multiple of 2? False Is 14 a factor of 233124486? True Is 393 a factor of 20026101? True Does 102 divide 537554994? True Does 119 divide 51845206? True Is 138 a factor of 547014171? False Does 19 divide 40031789? False Is 86874229 a multiple of 1834? False Does 1405 divide 36538430? True Is 526400527 a multiple of 6346? False Is 795 a factor of 301564170? True Is 36 a factor of 70397136? True Is 1418159805 a multiple of 85? True Is 80 a factor of 28355120? True Does 42 divide 90712193? False Does 351 divide 192069121? False Does 18 divide 1576963601? False Does 54 divide 7801717716? True Does 9 divide 41322933? True Does 1208 divide 613963584? True Is 34 a factor of 10248069? False Is 77483448 a multiple of 168? True Does 33 divide 5595348? True Is 643914 a multiple of 35? False Does 3 divide 1921097? False Is 534880644 a multiple of 21? False Is 12 a factor of 223631625? False Is 73 a factor of 40108755? True Is 36638841 a multiple of 1633? False Is 490 a factor of 9057160? True Is 2005702227 a multiple of 81? False Is 31187860 a multiple of 55? True Does 4 divide 164738516? True Is 37 a factor of 13744390? True Is 3 a factor of 261006621? True Is 248989752 a multiple of 2084? False Is 2 a factor of 5390798? True Is 2950 a factor of 135095742? False Is 26923715 a multiple of 35? True Is 62 a factor of 216688202? True Does 57 divide 35208361? False Is 736319592 a multiple of 12? True Is 83 a factor of 2007839? False Does 1992 divide 563817672? True Is 219315168 a multiple of 144? True Is 9 a factor of 67996977? False Does 182 divide 32099340? True Is 861967981 a multiple of 22? False Does 154 divide 808438274? False Does 512 divide 50444397? False Does 76 divide 5755100? True Is 59295040 a multiple of 514? True Is 239 a factor of 2566464669? False Does 7 divide 3638362? True Is 553956627 a multiple of 4411? False Is 8 a factor of 328870051? False Is 79 a factor of 75886768? True Is 950947378 a multiple of 178? True Is 23 a factor of 9591805? True Does 14 divide 6295558901? False Is 561057341 a multiple of 419? True Is 3877875455 a multiple of 4717? False Does 57 divide 8326788? True Is 38201612 a multiple of 37? True Does 47 divide 1564969457? False Does 257 divide 254737629? True Is 353 a factor of 8899363? False Does 1836 divide 12091763? False Is 836708832 a multiple of 18? True Does 6 divide 15169885? False Is 542 a factor of 5592253? False Is 33187819 even? False Is 3551455 a multiple of 395? False Does 1398 divide 86148954? True Is 18 a factor of 18148590? True Is 35 a factor of 97389729? False Does 56 divide 129527832? True Is 21371387 a multiple of 21? False Is 14307354 a multiple of 81? True Is 1049706174 a multiple of 279? False Is 137123700 a multiple of 34? True Is 1461980382 a multiple of 1336? False Is 129 a factor of 29671548? True Is 19 a
{ "pile_set_name": "DM Mathematics" }
(-28)/(-42))/((-4)/(-6)). Let q(f) = -532*f + l*f - 523*f. What is q(-5)? 5 Let n(b) = b**3 + 43. Let c be 0/((1/(-1))/((-7)/(-1 - 13))). Determine n(c). 43 Let v(u) be the second derivative of 126*u - 1/12*u**4 + 5/2*u**2 + 2 - u**3. Let f = -8 + 2. Determine v(f). 5 Let r(z) = 1495*z - 4505*z - 4*z**2 + 10 + 1499*z + 1498*z + 3*z**2. Determine r(-17). -58 Suppose 31*z - 290 = 2*z. Let c(b) = -4*b + 38. Let v be c(z). Let o(x) = 3*x**2 - x - 2. Give o(v). 12 Let c(s) = s**2 - s - 132. Let q(o) = 3. Let b(f) = c(f) - 7*q(f). Give b(13). 3 Suppose -52*g + 56*g = 288. Let w = 72 - g. Suppose 5*t + 12 + 33 = w. Let b(h) = -h - 1. Give b(t). 8 Suppose 0 = -6*i + 5*r + 69, -3*r + 99 = 126. Let a(v) be the first derivative of v**4/4 - 4*v**3/3 - v**2 - 5*v + 1. Calculate a(i). -13 Let f(i) = 9 - 15*i + 344*i**3 - 98*i**3 - 247*i**3 + 18*i**2. Calculate f(17). 43 Let x(v) = -85 + 28 + 2*v**2 - 19*v + 33. Calculate x(11). 9 Let l(h) be the second derivative of h**4/12 - 11*h**3/6 - 3*h**2 - h. Suppose -4*x - 3 = b, -x + 0 = -b + 2. Let f be (b/(-1))/(5/(-55)). Give l(f). -6 Let r(a) be the third derivative of -a**4/3 + 12882*a**2. Let c be (1*2)/(1 + 0). Determine r(c). -16 Let z = -34 - -35. Let g(f) = 6*f - z - 5*f - 5*f**2 - f. Suppose -4*a + 0*a = 2*w + 4, 0 = 5*a - w - 9. Give g(a). -6 Let k(h) = 5*h + 1. Suppose -30 + 0 = -6*f. Suppose -4*q - 9 = f*t, -6*q = -3*t - 7*q - 4. Let i be t*-4*3/(-4). What is k(i)? -14 Suppose 3*a - 31 = 5*t, 0 = -2*t + 12*a - 47 + 13. Let n(j) = -2*j**2 - 5*j + 5. Give n(t). -20 Suppose 0 = 2*s - 5*s + 6. Let k be 1/s*(-6)/3 + -17. Let f be 2*1 - (k + 14). Let r(n) = -n**3 + 7*n**2 - 7*n - 3. What is r(f)? -9 Let b(y) = -4*y**2 + 88*y**3 - 89*y**3 - y + 1 - 4*y. Calculate b(-3). 7 Let q = 304 - 288. Let s(t) = 7*t - 15*t + t + 8*t - q. Calculate s(14). -2 Let q be 1/(1*1/67). Let y(g) = g**2 + 43*g + 238. Let b be y(-34). Let d = q + b. Let z(w) = 12*w**3. What is z(d)? -12 Let q(x) = x**3 + 5*x**2 - 5*x + 5. Suppose 4*d - 420 = -4*j, 11*j - 529 = -5*d + 10*j. Let v = -111 + d. What is q(v)? 30 Let c(x) = x**3 - 6*x**2 - 4*x + 6. Let b = -94 - -133. Suppose -b*l = -15*l - 168. What is c(l)? 27 Suppose 5*u + 17 = s + 13, 3*s = 5*u + 12. Let h(k) = 3845 - 3830 - 6*k + u*k. Calculate h(3). -3 Let a be (-38)/133 - 112/(-49). Let i(b) = 2*b**3 + b**2 - 8. Determine i(a). 12 Suppose -4*r - 3*f = -41, 16*r = 19*r - f - 34. Let i(s) = -s**3 + 12*s**2 - 11*s + 19. Determine i(r). 19 Let a(d) = -6*d**2 + 46*d + 141. Let b be a(10). Let g(l) = -130*l**3 + l**2 - l - 1. What is g(b)? -131 Let v(g) = -34*g + 2072. Let z be v(61). Let l(q) be the second derivative of -5*q**3/6 - 5*q**2/2 + 2*q. Determine l(z). 5 Let j be ((-34)/(-102))/((-5)/(-15))*3. Let s(q) be the first derivative of j*q**3 - 6*q + 1/4*q**4 - 7 - 5*q**2. Determine s(-10). -6 Let b(q) = q**2 + 6*q + 7. Let r(a) = -a**3 - 6*a**2 - 10*a - 13. Suppose -2*t = -z + 14 - 2, -z = t. Let d be r(t). Give b(d). 2 Suppose -159*y + 164*y = 115. Let c(m) = 16*m + 278*m**2 - 277*m**2 - 4 - y*m. Calculate c(9). 14 Let b = 12 - 8. Suppose d = -5, -5*d = 5*p - b - 26. Let u(a) be the first derivative of -a**2/2 + 11*a + 222. Give u(p). 0 Let c(z) = z**3 + z**2 + z + 1. Let b = 50 - 45. Let w(x) = -8*x**3 - 6*x**2 - 4*x - 6. Let a(g) = b*c(g) + w(g). Determine a(1). -4 Let s(g) = g**3 - 15*g**2 + 23*g + 26. Suppose 39*c - 83 = 582 - 158. Determine s(c). -13 Let f(z) = -2205*z + 54. Let w(y) = -122*y. Let q(u) = f(u) - 18*w(u). Calculate q(5). 9 Let o(a) be the first derivative of -5*a**3/3 - 33*a**2/2 - 11*a - 4863. What is o(-5)? 29 Let m(w) = -21*w + 34. Let r(t) = 2*t**2 - 67*t + 103. Let b(a) = 7*m(a) - 2*r(a). Give b(-5). -3 Let c(u) = -u**2 - 10*u + 1. Let q(w) = w**3 - 36*w**2 - 44*w + 252. Let d be q(37). Give c(d). 22 Let r(y) = -10*y - 2. Let m be (-5)/2 - (23 + -27) - 5/2. Determine r(m). 8 Let d(q) = q**3 + 2*q**2 - q. Suppose w + 4*i + i = -156, 5*i = -4*w - 624. Let j = 142 + w. Let c be 3*(18/j + (-22)/(-77)). Calculate d(c). -6 Suppose 159*x + 115*x = 274. Suppose -3*h - 4*k + 2 = -24, 0 = -2*k + 4. Let w(p) = -p - 3*p**2 + 2*p**2 + h*p**2 + 1. Calculate w(x). 5 Let x = 14 - 5. Let y(d) = -554*d**2 + 2 - 549*d**2 + 9*d + 1652*d**2 - 541*d**2 - d**3. Calculate y(x). 2 Let s(k) = k**2 - 75 + 85*k + 178*k - 259*k. What is s(7)? 2 Let l(s) = -20*s. Suppose 4*p - 14 = -6. Suppose -4*d - 14 = -p*b, 0 = -d + 5*b - 4*b - 5. Let n be (1/4)/((-1)/(2 - d)). What is l(n)? 20 Let l = -32729 - -32747. Let b(d) = 9*d - 149. Determine b(l). 13 Let r = -23 - -74. Let s(j) = 8 + 4*j + 52*j**3 + 5*j**2 - r*j**3 + 5*j**2 - 2*j**2. Calculate s(-8). -24 Let h(t) = -4*t + 3*t + 2 - 4*t - t**2. Let j = -31 + 91. Let s be j/(-150) + 46/(-10) + 0. Determine h(s). 2 Let u(r) = -r**2 + 5. Suppose o + 2 = 0, -3*o - 38 = -0*s - 4*s. Suppose -s*i - 41 = -249. Let m = 26 - i. Calculate u(m). 5 Let o(g) be the first derivative of -g**5/20 + g**4/6 + g**3/3 + g**2 - 63*g - 4. Let n(w) be the first derivative of o(w). Calculate n(3). -1 Let h = -161 + 163. Suppose 5*l + h*l = -56. Let v(z) = z**3 + 7*z**2 - 7*z + 1. Give v(l). -7 Let z(d) = -3*d - 5. Suppose -2 = -o + 8. Suppose -b = o - 13. Suppose 3 = -j + 5, b*j = -2*k - 4. What is z(k)? 10 Let j(b) = -b - 3. Let k = 21 + 4. Suppose 0*f = 5*f - k. Let y be ((-6)/12)/(1 - f/6). Determine j(y). 0 Let p(o) = -2*o**3 - 17*o**2 + 6*o - 14. Suppose 0 = h + q + 17, 2*h - 52 = 6*h + 2*q. Calculate p(h). 13 Let p(o) = -3*o**3 - 3*o**2 + 2*o. Let d(g) be the second derivative of -g**5/10 - g**4/4 + g**3/3 - 9*g - 3. Let t(f) = -4*d(f) + 3*p(f). Give t(2). 0 Suppose 2*k + 0 + 2 = 0. Let m be (k - 19)*(-6)/12. Let l(c) = -c**2 + 5*c - 11. Let p(v) = -7*v**2 + 32*v - 76. Let n(d) = 15*l(d) - 2*p(d). What is n(m)? -3 Let s(k) = 1 - 5 - 3 + 2*k. Let v = 268 - 211. Let o = 62 - v. Give s(o). 3 Let b be (-2073)/6*-2 + -3. Let y = b - 688. Let i(k) = -k**2 - 4. What is i(y)? -4 Suppose 45572*v + 98 = 45579*v. Let i(a) = 6*a - 22. Calculate i(v). 62 Let q = 133 - 130. Suppose -2*f = -10, -q*y + f = 51 - 16. Let n(g) = -g + 1. Let z(v) = -5*v + 10. Let l(a) = -6*n(a) + z(a). What is l(y)? -6 Let r be 464/(-120) - (-1)/((-15)/2). Let c(l) be the second derivative of l**4/12 + 5*l**3/6 - 3*l**2/2 + 417*l. Give c(r). -7 Let i(x) = -4*x**2 - 23*x + 11. Let c(m) = -2*m**2 - 25*m + 13. Let y(s) = 3*c(s) - 2*i(s). Give y(12). -43 Let w(g) = -3*g. Suppose 2*x - 1 = -3*o + 19, -5*x = 4*o - 36. Let l(a) = -a - 2. Let y be l(o). Let r(u) = -u - 8. Let i be r(y). Give w(i). 6 Let z(w) = w**3 + w**2 + w - 11. Suppose v - 39 = 2*c, 5*c + 3*v = -68 - 24. Let i(s) = -1 + 5*s - 18 - 6*s. Let y be i(c). Give z(y). -11 Let p(y) = 18*y - 457*y**2 - 464*y**2 - 459*y**2 - 457*y**2 + 1835*y**2 + 10. Calculate p(9). 10 Let v be 4/18 + 2096/(-36). Let l = -92 + 40. Let m = v - l. Let o(c) = c**3 + 5*c**2 - 2*c + 4. Determine o(m). -20 Let d(f) = 11 - 6*f + 23 - 50 - 5. What is d(-3)? -3 Let f(s) = 24 + 7 - 39 + 22 + 31 + 21*s. What is f(-3)? -18 Let g = 36 - 31. Let q = 0 + g. Suppose -q = -8*t + 3*t. Let a(p) = 13*p - 1. What is a(t)? 12 Let m(o) be the first derivative of 2*o**2 - 12*o + 83. What is m(8)? 20 Let c(s) = 32*s + 275. Let q = 7233 - 7241. What is c(q)? 19 Suppose s + 4*v = 4*s - 10, 3*v = -4*s + 5. Suppose 0 = -5*p - l + 47 + 45, s*p - 4*l = 28. Let f(z) = 8*z + 9*z - 33*z + p*z. What is f(0)? 0 Let c(g) = g**3 - g**2 - 3*g + 10. Suppose 24*o = 28*o + 3*p - 3, -7*p = -o + 24. Calculate c(o). 19 Let k(u) = -2*u**2 - 17*u - 1. Let h be (-38)/5 - (-37)/((-3515)/38). Determine k(h). 7 Let p(z) = -z**3 - 2*z**2 + 2*z + 1. Let b = -18 + -28. Suppose 5*d = 6*d - 44. Let w = d + b. Determine p(w). -3 Let f = -2726 + 2731. Let u(x) be the third derivative of 1/12*x**6 - 1/12*x**4 + 0 + 0*x + 36*x**2 - 1/6*x**3 + 0*x**f. Calculate u(-1). -9 Let a(s) = -s**2 - 19*s + 42. Let o(d) = -d**2 + 2*d + 27. Let c be o(8). Let v be a(c). Let u(y) = 290 + v*y - y - 291. Give u(-8). 7 Let k(y) = -5 + y + 0 + 0. Let p(d) = d**3 - 9*d**2 - 3*d + 49. Let s be p(9). Suppose -775*q = -777*q + s. What is k(q)? 6 Suppose -4*k = k. Let y(v) = -8747*v - 8742*v - 31 + 17490*v. Calculate y(k). -31 Let k(u) be the third derivative of u**6/120 + u**5/10 - u**4/12 + 17*u**3/6 + 55*u**2 - 18*u. Calculate k
{ "pile_set_name": "DM Mathematics" }
306. Is r composite? False Let l(k) be the third derivative of k**6/120 + k**5/6 + 7*k**4/24 - 11*k**3/6 + 2*k**2. Is l(-9) composite? False Let k = 12 - 14. Is ((-260)/k)/((-12)/(-6)) a prime number? False Let r be ((-1)/4)/(4/(-16)). Let w(b) = 83*b + 1. Let u be w(r). Suppose 2*l = -2*l + u. Is l a composite number? True Suppose k - 291 = -2*v, -5*k + 3*v = -0*v - 1455. Is k a composite number? True Suppose -v + 6*v + 5*m = 245, -v + 37 = -3*m. Is v a composite number? True Suppose 7*x - 2684 = 3*x. Is x prime? False Suppose h + 0 = -1. Is h/(-4) - (-227)/4 a composite number? True Is (0 + -6)*159/(-6) a composite number? True Let p(h) = 2*h + 635. Is p(0) prime? False Let p(u) = -u**3 + 6*u**2 - 6*u + 7. Let o be p(5). Suppose 12 = o*d + d, 2*x - 796 = -2*d. Let a = x - 279. Is a composite? True Let i(p) = -p + 7. Let q be i(10). Let z = 0 - q. Let t = 16 - z. Is t a prime number? True Suppose -2*z - 2710 = 3*z. Let o = z - -1431. Is o a prime number? False Let y be (133/(-2))/(2/(-20)). Let m = -304 + y. Is m a prime number? False Let i(f) = -21*f - 3 - 45*f - f. Is i(-2) a composite number? False Let l = -1356 - -2953. Is l a prime number? True Let q be (12/(-5))/((-15)/200). Let x = q + 5. Is x a prime number? True Suppose 2*h + 1 = 3*f, -4*h + 27 = 5*f - h. Let g be (-1)/f + 3/9. Suppose g = -4*d - z + 11, 2*z + 6 = -3*d + 6*z. Is d a composite number? False Suppose d = 2*d. Suppose d = -4*w - 0*w. Suppose -2*n + 382 = -w*n. Is n a composite number? False Suppose 1632 = 3*r - 2079. Let x = 1904 - r. Is x a prime number? False Suppose 0 = 2*d + 3*i - 1393, -4*i = -0*d - d + 713. Is d prime? True Let i(d) = 6*d**3 - 7*d**2 + 17*d + 1. Is i(7) prime? False Let u be 6/(-4) - 39/(-6). Suppose -2*s = -3*l - 114 + 29, u*l - 45 = -2*s. Is s a prime number? False Let g be ((-1)/(-2))/(1/(-18)). Suppose 1 = -a + 15. Let d = a - g. Is d prime? True Suppose 30 = -0*v + 5*v. Let n(r) = 2*r**3 - 5*r**2 - 6*r + 1. Is n(v) composite? True Suppose 0 = 2*d - 0*d - 4. Suppose 46 = 5*l + 3*n + 15, -d*l = 4*n - 18. Suppose 183 - 28 = l*a. Is a composite? False Is (-2)/4 + 478/4 a composite number? True Let d(a) be the second derivative of a**5/20 - a**4/2 - a**3/2 - 3*a**2 - a. Is d(7) composite? True Suppose -2*c + 4*m = -318, -5*c - m + 600 = -c. Suppose 3*a - 629 = -4*l, -l - a + c = a. Is l prime? False Let r = 77 - 20. Is r a composite number? True Let p(h) = -h + 4. Suppose -10 = -5*n - 0*n. Let d be p(n). Is (-21 + d)*-1 + 2 a composite number? True Let w(a) = 1. Let f(p) = p + 4. Let u(y) = -f(y) + 6*w(y). Let v be u(7). Is (-435)/25*1*v prime? False Suppose -75 = -3*w + 36. Is w prime? True Let c(w) = 2*w**3 - 8*w**2 + w - 8. Is c(6) a composite number? True Let s(r) = 48*r + 59. Is s(22) a prime number? False Let h be 3 + -1 + (0 - 0). Let p(a) = 2*a - 3 - h*a + 2*a. Is p(8) composite? False Let u = -11 - -7. Let k(v) = 25*v**2 - 4*v - 3. Is k(u) prime? False Suppose 1 = j - 4. Suppose -j*b - 13 = -38. Suppose 6*f - 2*w + 24 = 8*f, 0 = 3*f - b*w - 60. Is f composite? True Suppose -3 = x - 1. Let h be x/(-4)*(-3 - -1). Is h/6 - 446/(-12) a prime number? True Suppose 11*u - 14*u = -165. Is u prime? False Let y be (-2 + 0)/((-5)/5). Is ((-2)/y)/((-4)/212) composite? False Suppose -4*i - 2 = -3*s + 4*s, 0 = 2*i. Is 6/s - (-6 - 7) prime? False Let r = -6 + 8. Suppose -2*o - r*o = 176. Let y = 75 + o. Is y a composite number? False Let i = 167 - 112. Is i a composite number? True Suppose -4*f - 164 = -4*c, 0*c + 213 = -5*f + 3*c. Suppose 3*y - 418 = -4*q, -2*q + 158 = y + 16. Let l = f + y. Is l a prime number? True Suppose -2*r - 4 = -2. Let s be (0/2)/(1 - r). Suppose 2*q - 104 = 3*f - s*f, -5*q + 302 = 3*f. Is q composite? True Suppose -v = -0*v + 16. Let c be 2*2*(-52)/v. Suppose 0 = -4*g + 41 - c. Is g a prime number? True Suppose 0 = -t + 3*t + 12. Let v(a) = -a**3 - 5*a**2 + 5*a - 1. Let r be v(t). Suppose -125 + 50 = -r*i. Is i composite? True Let j(z) = -z**3 + 8*z**2 + 5*z - 5. Let p be j(6). Let y = p - 249. Is 2 - 2 - (y - -3) composite? False Let h(q) = -6*q - q**2 - 5 + 3 + 0*q**2. Let n be h(-5). Suppose -4*x - 2*w = -n*w - 802, -2*x + w = -400. Is x prime? False Suppose 7*n = 4*n + 15. Let o = n + -5. Suppose -u - 2*u + s + 32 = o, s + 2 = 0. Is u a prime number? False Suppose 4*z = 20, -t = -2*z + z - 10. Suppose t = 5*q - 5. Suppose d - 147 = -0*d + 2*r, r + 616 = q*d. Is d a composite number? True Let y be 0/2 + (-72)/(-3). Let j = -17 + y. Suppose n - 72 = j. Is n a prime number? True Let c = 8384 + -4927. Is c a composite number? False Suppose 0 = -5*x + a + 37, -6*a + 23 = x - a. Let m(u) be the second derivative of u**4/6 - u**3 - 3*u**2 + 2*u. Is m(x) composite? True Let f be (-295)/(-10) - (-2)/4. Suppose -2*c = -5*c + f. Suppose c = -m - m, 2*p = -m + 225. Is p prime? False Let o(a) = 349*a**2 - 3*a - 3. Is o(-2) a prime number? True Is 683*(6/8 + (-4)/(-16)) a prime number? True Let d(h) = 5*h**3 + h**2 - 3*h + 1. Let l(w) = -9*w**3 - 2*w**2 + 7*w - 3. Let p(y) = 14*d(y) + 6*l(y). Is p(3) prime? False Suppose -2*d - o + 10 = 0, 3*d - 5*o + 5 = -6. Suppose -5*l - 13 + 46 = -2*f, d*l = 2*f + 19. Is l a composite number? False Suppose y + 2*w = 3*w + 145, 0 = -2*w - 4. Suppose x - 2*x + y = 0. Is x composite? True Let z(m) = -7*m**3 + 5*m**2 - 4*m - 2. Let y be z(-4). Let v = y + -379. Is v a prime number? True Let o(q) = q**3 - 3*q**2 + 2*q - 4. Let l be o(3). Suppose 270 = 11*f - 8*f. Suppose f = l*n + 4*k, 3*k = -4*n - 0*k + 200. Is n composite? False Let h(m) = 24*m + 37. Is h(10) a prime number? True Let g(j) = -12*j**2 - 4*j + 8. Let t(d) = -4*d**2 - d + 3. Let k(v) = 2*g(v) - 7*t(v). Is k(4) prime? False Suppose 5*a = 4*t - 2*t + 1239, -5*a = t - 1248. Is a composite? True Suppose 10*f = 5*f + 1945. Is f prime? True Let d be 2469/9 - 4/(-6). Let r = d + -130. Is r prime? False Let j be (-2 - -1) + -1 + 2. Suppose -2*a + 6 = j, 2*n - 5*a = 3*n - 46. Is n a prime number? True Let c be 0 + -1*(2 - 2). Let q(g) = g + 21. Is q(c) a prime number? False Is (-1655)/(-20) - (-2)/8 prime? True Let g(j) = j**3 + 3*j**2 - 3*j - 1. Let l be g(-4). Suppose 0*t - 72 = -4*t. Let b = l + t. Is b a composite number? False Let g = -6 + 8. Let a be g*(0 + 2 + 0). Suppose -a*h + 84 + 28 = 3*b, -h + 5*b = -5. Is h composite? True Suppose 3*o + o + 5*c = 1311, -2*c = 2. Let d = o + 44. Is d prime? True Let i(l) = 641*l**2 + l - 5. Is i(2) a prime number? False Let b be (-2)/9 + (-6)/(-27). Suppose j + j + 3*x + 4 = b, -3*x = -5*j - 10. Let p(n) = -2*n**3 - 3*n**2 - n + 1. Is p(j) composite? False Let u(s) = s**3 - 4. Let b be u(0). Let k(t) = -2*t + 3. Is k(b) a composite number? False Suppose -5*i - 1 - 4 = 0. Is i*3 + (35 - -3) prime? False Let c(h) = 38*h - 15. Is c(13) prime? True Suppose 2*n + 24 = 4*g, -n - g - 1 = 2*n. Let d be n/6 - 327/(-9). Suppose -3*v + d = -3*p - 0*p, 3*v - p - 34 = 0. Is v prime? True Let g = 712 + -449. Is g a prime number? True Suppose 0*h = 3*k + 2*h - 42, 63 = 4*k + 5*h. Let p(o) be the third derivative of 5*o**4/24 - 3*o**3/2 + 2*o**2. Is p(k) prime? False Let j(i) be the third derivative of 0*i + i**2 + 0 + 0*i**3 + 1/10*i**5 - 1/24*i**4. Is j(-2) a prime number? False Let l = 88 + 228. Suppose 0 = -3*i - l + 1078. Is i prime? False Let q = -490 - -1069. Let l = q + -365. Is 12/(-42) + l/14 a composite number? True Suppose -2*m + 2 = -10. Let k(s) = 2*s**2 - 5*s + 10. Let a(g) = -3*g**2 + 8*g - 15. Let f(y) = -5*a(y) - 7*k(y). Is f(m) a composite number? False Suppose 0*x = -2*x - 10. Let w be 1/(((-1)/x)/1). Suppose 3*g - h - 37 = 64, -g + 55 = w*h. Is g a prime number? False Let l(r) = -6*r + 2. Let w(s) = 12*s - 3. Let t(m) = -9*l(m) - 5*w(m). Is t(-6) prime? False Suppose 0*t + 2 = t. Let y = 3 + t. Suppose -4*s = 4*j - 76, 35 = 2*s - s + y*j. Is s a prime number? False Suppose 0 = -18*f + 13*f + 2595. Is f a composite number? True Let v(k) = -k**3 + 5*k**2 + k - 5. Let z = 5 + 0. Let g be v(z). Suppose -175 = -5*p - 3*y, g = -p + 4*p + 3*y - 105. Is p a composite number? True Let b(r) = -r - 13. Let d(y) = -1. Let k(h) = b(h) - 6*d(h). Let t be k(-7). Suppose t = -3*i - i + 56. Is i a composite number? True Suppose -r - 4 = -2*n, 0 = 4*r - 0*r - 4*n. Is (-3822)/(-4) + (-2)/r composite? True Let d =
{ "pile_set_name": "DM Mathematics" }
*l, j = 3*l + 2 for l. 5 Solve -o = -5*c + o - 38, c + 15*o + 165 = -69*o + 917 for c. -4 Solve 4*b + 11*u - 28 = 9*u, -52*b + 55*b + 2*u - 25 = 0 for b. 3 Solve -3484 + 7054 = 4*y - 4*n + 3474, -5*n - 114 = -2*y for y. 2 Solve 106 = 2*s + 28*i, -3*s - 13*s - 122 = -19*s - 5*i for s. 39 Solve 0 = 2*s - 30, 0 = -4*c - 6069*s + 6095*s - 406 for c. -4 Solve -o + 12 = -v - 2, v = 3*o - 48 - 2 for v. 4 Solve g - 45 = -5*g + 9*g - 3*c, 15*c + 4*c - 57 = 0 for g. -12 Solve 23*g - 2*q + 0*q = -20*g - 524, -11*g + 0*q = -4*q + 148 for g. -12 Solve -4*u + 4*a + 100 = 6*a, -613*u - 272 = -618*u - 6*a for u. 4 Solve 9*p - 15 = 2*j - 81, 3*p + 19 + 22 - 47 = 0 for j. 42 Solve -3*w - 644*b = -649*b - 76 + 2, -12*w = -4*b - 232 for w. 18 Solve -5*k + 30 = 0, 0 = -585*h + 583*h + 9*k - 62 for h. -4 Solve 1387*d - 1383*d + 3*q + 12 = 0, 0 = -3*d - 5*q + 2 for d. -6 Solve y + 55 = 4*d, -4*y - 2*d + 614 - 600 = 0 for y. -3 Solve a + 0*a - n - 20 = 3*a, 3*n - 21 = 3*a for a. -9 Solve 39229 - 39316 = -2*v + 3*h, 3*h + 102 = -3*v for v. -3 Solve 4*u = -17*u + 84, 430*u = -s + 431*u + 29 - 12 for s. 21 Solve -449*f + 46*a = -453*f + 41*a - 5, 4*f + 4*a - 15 = 3*a for f. 5 Solve -4*v - 2*t = 90, -2*v = -3180*t + 3179*t + 35 for v. -20 Solve -a = 2*w - 1, -32*w - 4*a - 5 + 5 = -28*w - 4 for w. 0 Solve -25 = 2*c + 2*k + 5, -5*k - 2595 = 262*c - 5*c for c. -10 Solve -2*k + 4*c + 2234 = 2036, -5*k + 2*c = -95 for k. -1 Solve -2*w - 5*l + 8 = -0*l, -w + 4 = 3498*l - 3505*l for w. 4 Solve 229*r = 226*r - 5*w + 73, 3*r - w + 29 = 0 for r. -4 Solve -9*r - 2133*i = -2134*i - 135, 0 = -i for r. 15 Solve 0*i + 5*i + 830 = 15*v, -12*i + 34*v - 36*v = -10*i - 108 for i. -1 Solve -2*g + 96 = -5*l, 5*l + 197*g - 205 = 192*g for l. -2 Solve -3*m - 3*t + 4*t = -2, -8*t = 19*m - 18*m - 34 for m. 2 Solve 5*u - 30*p + 10*p + 19*p + 5 = 0, 3*p + 5 = -5*u for u. -1 Solve 227*b - 29*x - 34 = 231*b, -b + 14 = -4*x for b. 6 Solve 285*m - 32 = 145*m + 135*m - 3*f, 4*m + 15*f - 76 = 0 for m. 4 Solve r = 2*u + 15, 3*u - 249 = -29*r - 33*r + 16*r - 34 for u. -5 Solve 0 = -s + 3*t + 23, 0 = -3*s - 3*t - 373 + 382 for s. 8 Solve 7*d - 3497*h = -3495*h - 46, 4*d - h + 2*h = -37 for d. -8 Solve 28*o - 10*c + 14*c - 7 = 35*o - 32, -3*o + 5*c = -37 for o. -1 Solve -9*m = 8*m, 25*f + 6 = 24*f - 3*m for f. -6 Solve p + 25 = -7*d, 5*p = -412*d + 410*d + 7 for d. -4 Solve -r = -2*d + 3, -15*d + 7*r = 10*d + 5*r + 57 for d. -3 Solve -5*f + 8 = 5750*p - 5755*p + 2*f, -2*p + 5*p - 5*f + 4 = 0 for p. -3 Solve -6*s - 22 = -s - 4*z, -5*s - 380*z = -383*z + 19 for s. -2 Solve 174 = -3*k + 4*j + 154, -4*j = -3*k - 3*j - 5 for k. 0 Solve -6695547*i - 30 = 3*o - 6695552*i, 0 = 4*o - i + 23 for o. -5 Solve 0 = -16*u + 53*u + 4*v + 724, 5*u + 116 = 4*v for u. -20 Solve 14*a - 42 = 14, 3*a = 5*f + 2*a + 4*a + 28 for f. -8 Solve -q + 138 = q + 20*f - 16*f, f = -2*q + 8 + 19 for q. -5 Solve 3*l = 4*n + 16, 107*l = 3*n + 105*l + 10 for n. 2 Solve -264588*g = -264591*g - 114, y + g + 43 = 0 for y. -5 Solve -3*f - 14*m - 21*m - 57 = 45*m + 998, 0 = 2*f + 2*m + 36 for f. -5 Solve 5*a = -4*r + 98, 282*r - 315*r + 3*a = -12 for r. 2 Solve 0 = -5*u + 39*h - 131, -2*u - 4*h = 13*h - 21*h + 6 for u. 5 Solve 2*i = 7*j - 80, -11*i - 21 = j - 55 for i. 2 Solve 8*f + 7*f + 5*f - 335 = 16*f - 0*f + 27*a, -84 = 8*f + 4*a for f. -4 Solve 38*l - 44*l - w = 12, 37*l - 38*l + 0 - 2 = 4*w for l. -2 Solve -24*x + 17*x - 3974 = -3*x - 362*a, a - 13 - 4 = -3*x for x. 2 Solve 45 = -3*x - 3*w, 6*x + 919*w = 923*w - 80 for x. -14 Solve 17*y - 24*y - 8 = 2*t, -8*y + 6*y - t + 14 = 6*y for y. 4 Solve 8*g + 2*b - 84 = 0, -2*b + 1624690 - 1624716 = 4*g - 7*g for g. 10 Solve -5968*u = -5967*u + b + 11, 2*b - 14 = 2*u for u. -9 Solve 28*i - 17*i + 10*o = 15*i + 62, -i - 3*i + 43 = 5*o for i. 2 Solve -10*t - t = -4*y - 7*t + 12, -3*t - 9 = 5*y for y. 0 Solve 45*l + 4*x = -4, 0*l + 21*x - 9*x - 2 = 2*l + 14*x for l. 0 Solve 2*u - 17 = 3*u + 2*c - c, -2231*u = -2264*u + 5*c - 105 for u. -5 Solve 3*t = 114 - 12, 0*u + 0*u - 10*t = -2*u + 3*u - 114 - 229 for u. 3 Solve 0*y - 38 = 2*y + 4*b, -14019*y - 2*b - 24 = -14023*y for y. 1 Solve 2*c + 3*o = 10817 - 10775, -5*o = 6*c - 78 for c. 3 Solve 236 - 325 = -81*y - 4*o, y + 2*o - 5 = 0 for y. 1 Solve 4*l - 990*j = -989*j + 42, 10*l = 5*j + 220 for l. -1 Solve 11137*i - 11140*i = 8*k + 71, 4*i + 2*k = -34 for i. -5 Solve -2*h + 2*s = 4*s - 8, -92*s + 89*s + 6 + 15 = 0 for h. -3 Solve -544*a + 3*c = -547*a - 15, 4*c + 28 = 0 for a. 2 Solve -10*g + 2 + 2 = -11*g - 5*y, 30*g + 120 = -2*y for g. -4 Solve 0 = -2*l + 2*q - 6, -q + 2*q = -42*l - 14*q - 109 - 17 for l. -3 Solve 2722*n + 4*x = 2725*n - 78, -3*n + 2*x = -84 for n. 30 Solve 2*d - 57 = -3*f, 187*d - 190*d - 71 - 64 = -23*f + 17*f for d. -3 Solve -12 - 172 = -3*b + 4*h, -4*h - 206 + 37 = -5*b + 15 for b. 0 Solve -24*t + s + 414 = -43*t - 4*s, 3*s = t + 12 for t. -21 Solve f = 5*p - 30, 49*f - p = 17*f + 10*f + 18*f - 25 for f. -5 Solve 2*f = -2*o + 16, 18*o - 3 = -13*o + 23*o + 8*o + 3*f for o. 9 Solve 29*m + 2*r - 17 = 30*m, 2*m - 3652*r + 59 = -3653*r for m. -27 Solve 0 = 47*n + 5*f - 266, 0 = 2*n - 6*n - n + 4*f - 5*f + 40 for n. 3 Solve 3*c + 90 = -2*c + 2*g, -107*c + 2*g = -89*c + 298 for c. -16 Solve 564 - 713 = 4*n + 5*y, -5*n - 2*y = 182 for n. -36 Solve 5*q + 1195 = -55*h, 41*h - 17*h - 3*q + 119 = 19*h for h. -22 Solve 102*l = 102*l - 3*g - 12, 7*l + 4*g + 58 = 0 for l. -6 Solve 7*d + 155 = 5*t, -280*d + 140*d - 53 = -2*t - 139*d for t. 24 Solve -5*j - j = 21*g - 171, 5*j - j = 4*g - 48 for g. 9 Solve -239788*n = -3*t - 239783*n + 47, 160 = -16*n for t. -1 Solve x + 2210 - 2227 = 2*d, -11*d - 26 = -x for x. 15 Solve 200*j + 2*k + k + 42 = 202*j, -5*j - 3*k = 42 for j. 0 Solve -34*p + 33*p = 5 + 46, -3*v = -2*p - 114 for v. 4 Solve -4*y + 4*h = -52, -33*h + 16*h - 7 = -4*y - 22*h for y. 8 Solve 4*g + 66 = -11*r - 8*r + 17*r, 3*r = -5*g - 85 for r. -5 Solve -53*v - 239 = -2*s, 103*s - 102*s = -v - 18 for v. -5 Solve 2*k - 3*v - 4 = 0, -5*k - 2*v + 1882503 = 1882493 for k. 2 Solve 0 = y + 32*r - 30*r + 13, y + 4*r + 7 = 0 for y. -19 Solve 1350 = -18*f + 10*f + 5*f + 59*a - 175, f - 81 = -3*a for f. 3 Solve 4*g - 124*v + 128*v + 36 = 0, 3*g - 5 = 5*v for g. -5 Solve 3*n = -4*s + 84, -108*s + 111*s + 22 = 5*n + 114 for s. 24 Solve -5*b - 23563 + 23313 = 5*s, 3*b + 37 = -s - 3 for b. 5 Solve 0 = -3*m + 49 - 165 + 80, 7*m + 59 = 5*a for a. -5 Solve -9*k + 353 = -j + 344, -k + 54 = -6*j for k. 0 Solve -2*g = 2*q + 6949496 - 6949516, -5*g = 2*q - 8 for q. 14 Solve -69*z = -72*z - 6, m + 8*z = -4 for m. 12 Solve -14*u = 4*q + 236, -123 = -78682*q + 78685*q - 3*u for q. -45 Solve 4*j = -10*a - 14, 3*j + 4 = j + 1068*a - 1070*a for j. -1 Solve 75*t = 150, -5*k - 4*t + 8 - 8 = 10 - 18 + 30 for k. -6 Solve 0*j + j - 37 = -0*j + 9*c, -3*j - c = 1 for j. 1 Solve 8 = -w - 4*k + 5*k, -4*k + 775 = 783 for w. -10 Solve -12 = -4*z, x + 45813*z - 45812*z - 7 = 0 for x. 4 Solve -10*c + 15*c + 0*c = 2*q - 34, 3*q + 12 = -3*c for c. -6 Solve 2*c = 5*i + 23, 2*c + 80 = 4*c + 2*c - 4*i + 102 - 62 for c. 9 Solve 320*s + 4*s = 0, -5*s - 109 = 4*j - 315 + 106 + 104 for j. -1 Solve -12*u - 3*y + 93 = 81, 14*y - 17*y + 12 = 5*u for u. 0 Solve v + 7800 = 7805, -11*o - 136 = -3*v for o. -11 Solve 0 = -3*z - 29*o + 131, -4*z - 2*o = 11280 - 11528 for z. 63 Solve 2*k - 4*k = -4*k + 16*g - 63*g, -3*g - 4*g + 2*g = 2*k for k. 0 Solve -63*i + 37 = d - 66*i, 0 = 4*d + 24*i - 4 for d. 25 Solve 329*t = -11*w + 328*t + 35, 9*t - 27 = 5*w - 8*w for w. 3 Solve 21805*r - 79 = 21808*r - 5*t, 0*r + 2*r - t + 13 = 0 for r. 2 Solve -6*v - 42 = 3107*d - 3102*d - 2*v, -10*v - 20 = 5*d + 40 for d. -6 Solve -2*o - 4*q + 11 = -o + 13 + 26, -8*q + 13*q + 25 = 0 for o. -8 Solve 14*u - 3*u + 16*y - 86 + 102 = 0, 4 = 3*u - 4*y for u. 0 Solve 16 = -4*g, 5*f = 10*f + 3*g - 597 + 629 for f. -4 Solve k + 8*i - 41 = -32, -2*k = 5*i + i + 12 - 0 for k. -15 Solve 0 = 5*r + 10, 4*r + 828 - 178 = -32*g + 6*r - 754 for g. -44 Solve -66 = 4*c + 4*y - 194, 8617*c - 8618*c = -5*y - 14 for c. 29 Solve 0 = -4*d + 7*m - 23 + 100, 3*d + 2*m - 267 = -289 for d. 0 Solve 0 = f + z + 6, -1469*f + 36 = -1466*f - 3*z for f. 3 Solve -24 = -4*v + 2*s, 5*v - 11*s + 1695588 = 1695652 for v. 4 Solve -5*v = 5*w + 15, -333522 =
{ "pile_set_name": "DM Mathematics" }
*k - 559. Calculate j(-26). -13 Let g(i) = -i**3 - 10*i**2 - 15*i + 29. Give g(-7). -13 Let x(a) = -3*a**2 + 85*a + 574. Determine x(34). -4 Let z(m) = 2*m - 6. Calculate z(13). 20 Let n(m) = -26*m - 142. Determine n(-5). -12 Let m(z) = z**3 + 12*z**2 + 23*z + 22. What is m(-10)? -8 Let i(w) = w**3 + 3*w**2 - w - 2. Give i(-3). 1 Let t(r) = r**3 + 1. Calculate t(-2). -7 Let w(c) = 6*c**2 - 2. Give w(1). 4 Let m(w) = 2*w - 11. What is m(13)? 15 Let g(u) = -3*u**2 - u + 2. Give g(1). -2 Let r(f) = -2*f**2 - 3*f - 4. Give r(-8). -108 Let s(r) = r + 2. What is s(19)? 21 Let g(k) = -2*k**3 - 35*k**2 - 15*k + 22. What is g(-17)? -12 Let t(y) = -y**2 - 33*y + 66. Give t(-35). -4 Let u(k) = k**3 - 3*k**2 - 7*k - 6. Calculate u(6). 60 Let i(h) = h**2 + 5*h - 4. What is i(-4)? -8 Let w(a) = a**3 + 4*a**2 - 8*a - 7. What is w(-6)? -31 Let k(p) = p**3 - 10*p**2 - 6. What is k(10)? -6 Let x(d) = 2*d**3 + 19*d**2 + 37*d. Determine x(-3). 6 Let p(u) = -63*u - 123. Determine p(-2). 3 Let t(n) = -n**3 - 10*n**2 - 3*n - 7. Determine t(-10). 23 Let p(y) = -y**3 - 11*y**2 + 12*y - 4. Give p(-12). -4 Let s(v) = v**2 - 16*v - 26. Determine s(17). -9 Let g(c) = c**2 + 13*c - 29. Determine g(-17). 39 Let j(p) = -6*p**3 + p - 1. Determine j(1). -6 Let a(k) = 2*k**3 + k**2 - 5*k + 5. Give a(2). 15 Let m(s) = 4*s + 12. What is m(-10)? -28 Let c(g) = -2*g + 2. What is c(-10)? 22 Let m(g) = 2*g - 2. What is m(8)? 14 Let b(a) = -a**2 - 20*a - 27. Determine b(-18). 9 Let n(o) = -2*o**3 + 22*o**2 - o + 7. Give n(11). -4 Let o(g) = -5*g + 4. What is o(-2)? 14 Let u(a) = -5*a**3 - a**2 - a - 1. Give u(-1). 4 Let n(g) = -g**3 + 6*g**2 + 8*g - 31. What is n(7)? -24 Let p(r) = r**2 + 7*r + 2. Determine p(-5). -8 Let c(y) = 20*y + 70. Calculate c(-4). -10 Let v(b) = 3*b + 7. What is v(5)? 22 Let a(w) = -22*w**3 - w**2 + 2*w + 2. Give a(-1). 21 Let g(x) = -7*x + 29. Calculate g(9). -34 Let s(p) = p**3 - 8*p**2 + 6*p - 6. Determine s(7). -13 Let d(i) = -i + 7. Determine d(6). 1 Let q(g) = -2*g - 16. Give q(0). -16 Let g(d) = -2*d - 2. Give g(0). -2 Let y(f) = f**2 - f - 2. Calculate y(-7). 54 Let w(u) = 2*u**2 - 5*u + 1. Give w(-5). 76 Let g(b) = -b**3 - 12*b**2 - 11*b + 11. What is g(-11)? 11 Let g(l) = 3*l**2 - 2*l - 23. Determine g(0). -23 Let l(t) = -t**3 - 2*t**2 + 6*t - 2. Calculate l(-5). 43 Let o(p) = -p**2 + p + 4. Give o(3). -2 Let l(y) = -y**3 - 9*y**2 - 9*y - 9. Give l(-7). -44 Let i(g) = -g**2 + 12*g + 6. Give i(0). 6 Let d(m) = -15*m - 170. Calculate d(-11). -5 Let d(r) = 6*r + 15. Give d(-4). -9 Let p(a) = -12*a**3 + 2*a - 2. Determine p(1). -12 Let g(t) = 6*t + 109. What is g(-14)? 25 Let o(j) = j**3 + 8*j**2 + 15*j + 13. Give o(-6). -5 Let k(f) = -43*f + 211. What is k(5)? -4 Let n(j) = 2*j**2 - 34. Determine n(-5). 16 Let f(z) = -z**2 + 2*z - 14. Determine f(6). -38 Let b(f) = f**3 + 48*f**2 + 50*f + 135. What is b(-47)? -6 Let l(x) = -38*x + 23. Calculate l(3). -91 Let h(o) = o**2 + 3*o - 15. Calculate h(4). 13 Let n(o) = -2*o + 38. What is n(14)? 10 Let l(h) = -28*h + 91. Calculate l(3). 7 Let l(n) = 32*n**2 - 5*n. Calculate l(-1). 37 Let u(a) = -a**2 - 12*a - 8. Determine u(-11). 3 Let k(x) = -x**2 - 23*x + 36. What is k(-24)? 12 Let u(x) = 7*x - 5. Give u(4). 23 Let j(q) = 2*q**2 + 10*q - 6. Determine j(-5). -6 Let b(g) = 3*g - 3. Determine b(-1). -6 Let g(h) = 2*h**2 + 22*h - 6. Determine g(-12). 18 Let t(v) = v**3 - 3*v**2 - v + 5. Determine t(4). 17 Let x(p) = p - 9. Determine x(6). -3 Let n(v) = 12*v - 5. What is n(-2)? -29 Let z(q) = -q**3 + 32*q**2 - 59*q - 34. Determine z(30). -4 Let o(b) = -7*b - 77. Give o(-16). 35 Let y(x) = 7*x + 28. Determine y(-3). 7 Let d(g) = 2*g**2 + 17*g - 14. Determine d(-7). -35 Let k(m) = -10*m - 133. Calculate k(-14). 7 Let d(v) = 19*v - 6. Calculate d(-1). -25 Let o(r) = 3*r + 21. Calculate o(-14). -21 Let t(h) = -2*h**2 + 81*h + 41. Give t(41). 0 Let d(p) = -2*p - 67. What is d(-17)? -33 Let y(r) = -2*r**3 - 59*r**2 + 32*r + 59. Calculate y(-30). -1 Let j(m) = -18*m - 2. Determine j(-1). 16 Let o(m) = -m**3 - 7*m**2 - 4*m. Give o(-5). -30 Let a(w) = w**2 + 6*w + 8. Determine a(-6). 8 Let f(r) = r**3 + 4*r**2 - 8*r - 8. Calculate f(-5). 7 Let n(z) = -7*z + 20. Give n(7). -29 Let m(i) = -14*i - 83. What is m(-6)? 1 Let q(g) = -2*g**2 - 2*g + 7. Give q(-5). -33 Let k(g) = 3*g**2 - 27*g + 58. What is k(7)? 16 Let o(m) = 22*m - 1019. Give o(46). -7 Let j(o) = -o**3 - 9*o**2 - 3*o - 15. What is j(-8)? -55 Let v(z) = -4*z**2 - 60*z - 3. What is v(-15)? -3 Let l(d) = -d**2 - 29*d - 102. Give l(-24). 18 Let h(c) = 10*c + 225. Calculate h(-17). 55 Let w(g) = -g + 10. Give w(5). 5 Let o(t) = t - 1. What is o(0)? -1 Let s(y) = -9*y + 139. Give s(15). 4 Let c(z) = 16*z + 39. Determine c(-3). -9 Let a(i) = -i**2 - 32*i + 29. What is a(-33)? -4 Let l(x) = -4*x**3 + x**2 + x + 2. Determine l(2). -24 Let g(u) = 11*u - 59. Determine g(5). -4 Let x(g) = -g**3 - 18*g**2 + 19*g + 40. Calculate x(-19). 40 Let r(h) = -h**2 + 3*h + 32. Calculate r(-5). -8 Let a(i) = -4*i - 28. Determine a(-6). -4 Let b(r) = 8*r - 12. Calculate b(-9). -84 Let j(d) = -d**3 - 15*d**2 + 19*d - 6. What is j(-16)? -54 Let d(n) = 3*n - 58. Determine d(18). -4 Let j(d) = -3*d**2 + 36*d - 6. Determine j(12). -6 Let m(d) = -3*d + 11. What is m(2)? 5 Let p(l) = -5*l + 16. What is p(-21)? 121 Let n(u) = u**3 + 33*u**2 - 2*u - 68. Determine n(-33). -2 Let w(g) = -6*g**2 - 2*g - 1. What is w(-3)? -49 Let l(d) = 10*d - 4. Calculate l(2). 16 Let a(z) = -z**3 - 14*z**2 + 7. Determine a(-14). 7 Let r(b) = b**2 + 2*b - 4. Give r(2). 4 Let y(i) = -i + 4. What is y(7)? -3 Let y(b) = -21*b + 100. What is y(5)? -5 Let r(y) = -y + 5. Determine r(-3). 8 Let d(g) = 8*g - 14. Determine d(-2). -30 Let n(h) = 8*h + 366. What is n(-44)? 14 Let o(q) = -q**3 - 3*q**2 - q - 1. Give o(-2). -3 Let c(l) = -2*l + 8. Determine c(6). -4 Let k(q) = 7*q - 51. Determine k(5). -16 Let t(d) = d. Give t(0). 0 Let n(s) = -s + 40. Calculate n(0). 40 Let l(h) = 157*h. Calculate l(0). 0 Let w(l) = 47*l + 1. Determine w(-1). -46 Let h(s) = -14*s**3 - 8*s**2 - 9*s - 2. Determine h(-1). 13 Let o(u) = -4*u**2 - 2*u - 1. Calculate o(-1). -3 Let v(k) = k + 11. Determine v(-6). 5 Let x(o) = -o - 7. What is x(6)? -13 Let f(s) = s**3 + 10*s**2 - 10*s + 6. Give f(-11). -5 Let g(w) = -w**2 + 4*w + 21. Give g(6). 9 Let m(y) = -3*y + 39. What is m(9)? 12 Let g(s) = s**3 + 25*s**2 - s - 17. Determine g(-25). 8 Let a(o) = o**2 - 3*o + 10. What is a(6)? 28 Let y(b) = -3*b - 6. What is y(1)? -9 Let u(a) = 7*a - 71. Calculate u(7). -22 Let j(b) = 3*b**2 + 5*b - 19. Determine j(3). 23 Let p(s) = s - 13. Determine p(6). -7 Let j(v) = 23*v - 2. Give j(-1). -25 Let b(v) = v**2 + 5*v. What is b(-4)? -4 Let a(h) = 3*h + 46. What is a(-16)? -2 Let w(i) = i**2 + 3*i - 30. Determine w(-8). 10 Let v(n) = 5*n - 174. Determine v(33). -9 Let y(i) = 2*i**2 + 10*i + 17. What is y(-7)? 45 Let b(x) = -x**3 - 21*x**2 - 23*x - 63. Calculate b(-20). -3 Let f(o) = o - 16. Calculate f(10). -6 Let y(j) = 4*j**2 - 32*j + 14. Determine y(7). -14 Let y(i) = -i - 35. Determine y(0). -35 Let m(d) = d**3 - 10*d**2 + 6*d + 5. Determine m(9). -22 Let m(i) = i**2 - 15*i - 34. Give m(17). 0 Let k(h) = 2*h**2 - 42*h + 50. Determine k(20). 10 Let r(o) = o**3 + 7*o**2 - 2*o + 48. Give r(-8). 0 Let j(z) = z**3 - 10*z**2 - 2. What is j(10)? -2 Let f(l) = -l**2 + 54*l - 468. What is f(11)? 5 Let z(l) = -60*l + 299. Give z(5). -1 Let s(b) = b**2 + 68*b + 588. Give s(-58). 8 Let p(d) = -13*d**2 - d - 1. What is p(-1)? -13 Let t(s) = -12*s + 115. Give t(10). -5 Let w(l) = l**3 - 6*l**2 + 7*l - 6. Calculate w(7). 92 Let i(q) = q**3 + 8*q**2 + 6*q - 1. Give i(-5). 44 Let b(r) = 18*r - 28. Give b(5). 62 Let g(k) = -10*k - 5. Calculate g(-4). 35 Let t(s) = 5*s - 33. Give t(7). 2 Let t(q) = q**3 - q**2 - 8*q + 2. Determine t(-4). -46 Let y(t) = -t**2 + 2*t - 16. What is y(7)? -51 Let j(p) = -4*p**2 - 64*p. Calculate j(-16). 0 Let a(j) = -j**3 + 12*j**2 - 7*j + 6. What is a(11)? 50 Let d(w) = 3*w**2 - 2*w - 12. Determine d(-3). 21 Let m(j) = 14*j - 9. Calculate m(-6). -93 Let i(r) = -r**3 - 14*r**2 + 19*r + 37. What is i(-15)? -23 Let t(s) = 4*s + 18. Determine t(-4). 2 Let b(a) = 4*a - 9. Calculate b(7). 19 Let b(n) = 2*n + 22. Calculate b(-9). 4 Let o(f) = 24*f - 867.
{ "pile_set_name": "DM Mathematics" }
cking 1 k and 1 p when two letters picked without replacement from dpchcddvdkddhpdkkc? 2/51 Three letters picked without replacement from {t: 7, b: 4, p: 7}. Give prob of picking 1 t and 2 b. 7/136 Three letters picked without replacement from sjsjhh. What is prob of picking 2 s and 1 h? 1/10 Calculate prob of picking 1 d and 3 l when four letters picked without replacement from {d: 2, e: 4, l: 3}. 1/63 What is prob of picking 4 e when four letters picked without replacement from ezezzzzzzzzzezzeezz? 5/3876 Four letters picked without replacement from {u: 2, e: 1, c: 3, r: 6, y: 6, g: 2}. Give prob of picking 1 r, 1 u, 1 e, and 1 g. 8/1615 Four letters picked without replacement from {q: 7, a: 3}. What is prob of picking 3 a and 1 q? 1/30 Three letters picked without replacement from {o: 5, n: 4, f: 3, b: 1}. What is prob of picking 2 f and 1 n? 6/143 Three letters picked without replacement from {b: 2, p: 1, v: 4, d: 2, y: 3, c: 6}. What is prob of picking 1 c and 2 d? 1/136 Two letters picked without replacement from cxccmmm. Give prob of picking 2 m. 1/7 Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {i: 2, x: 6, a: 4}. 4/11 Three letters picked without replacement from {i: 4, t: 2, l: 8}. What is prob of picking 3 l? 2/13 What is prob of picking 1 c, 2 d, and 1 k when four letters picked without replacement from {u: 1, d: 1, w: 1, y: 1, k: 2, c: 2}? 0 Calculate prob of picking 1 o, 1 w, and 1 q when three letters picked without replacement from pwooqpqwwwwoqooqq. 25/136 Calculate prob of picking 1 w and 1 x when two letters picked without replacement from ddldxkdwwl. 2/45 Three letters picked without replacement from {n: 7, f: 3}. Give prob of picking 3 f. 1/120 Two letters picked without replacement from {r: 2, w: 1, s: 1, k: 2, f: 2}. What is prob of picking 2 k? 1/28 Four letters picked without replacement from cscsccsccscss. What is prob of picking 3 c and 1 s? 42/143 Three letters picked without replacement from {i: 1, l: 7}. Give prob of picking 2 l and 1 i. 3/8 Calculate prob of picking 2 z and 1 c when three letters picked without replacement from {t: 3, z: 4, c: 1}. 3/28 Four letters picked without replacement from {f: 1, o: 3, b: 4, n: 7, g: 4}. Give prob of picking 2 b and 2 o. 3/646 Three letters picked without replacement from {e: 4, p: 2, b: 4}. What is prob of picking 1 e, 1 p, and 1 b? 4/15 Calculate prob of picking 1 f and 1 w when two letters picked without replacement from {o: 3, f: 2, x: 6, w: 4, y: 2}. 1/17 What is prob of picking 2 y when two letters picked without replacement from {y: 2, a: 3}? 1/10 What is prob of picking 1 o and 1 c when two letters picked without replacement from {o: 5, c: 1, y: 7, z: 4, s: 2, n: 1}? 1/38 Two letters picked without replacement from {k: 17, j: 3}. Give prob of picking 2 j. 3/190 Three letters picked without replacement from {p: 2, a: 1, e: 3, d: 1, r: 5}. What is prob of picking 1 a, 1 d, and 1 p? 1/110 Calculate prob of picking 3 f when three letters picked without replacement from gfcsssssscg. 0 What is prob of picking 1 m and 2 v when three letters picked without replacement from {s: 2, y: 4, r: 1, v: 8, m: 4}? 112/969 What is prob of picking 1 b, 1 d, and 1 c when three letters picked without replacement from {d: 1, b: 6, g: 2, n: 5, c: 2}? 3/140 Calculate prob of picking 2 f when two letters picked without replacement from {f: 1, n: 1, s: 1}. 0 Three letters picked without replacement from {c: 1, r: 2, z: 2, o: 1}. What is prob of picking 2 r and 1 c? 1/20 Four letters picked without replacement from {z: 1, p: 2, m: 2, j: 1}. Give prob of picking 1 j, 2 p, and 1 m. 2/15 What is prob of picking 4 q when four letters picked without replacement from {q: 2, k: 8}? 0 Two letters picked without replacement from {l: 9, h: 9}. Give prob of picking 2 l. 4/17 Calculate prob of picking 1 e, 1 o, and 1 v when three letters picked without replacement from {i: 2, e: 7, o: 5, g: 3, n: 1, v: 2}. 7/114 What is prob of picking 2 r when two letters picked without replacement from rruuzpttgtr? 3/55 What is prob of picking 1 e and 1 l when two letters picked without replacement from {e: 2, l: 8}? 16/45 What is prob of picking 1 g and 1 y when two letters picked without replacement from nqnnqqyoqqtnngo? 1/105 Four letters picked without replacement from xcxccczz. What is prob of picking 2 z, 1 c, and 1 x? 4/35 Three letters picked without replacement from {b: 2, v: 2, p: 1, c: 1, e: 1}. Give prob of picking 1 c, 1 b, and 1 v. 4/35 Three letters picked without replacement from jeeeeeeeeeee. What is prob of picking 3 e? 3/4 Three letters picked without replacement from ezcceaazcvzveezzaeze. Give prob of picking 1 c, 1 v, and 1 e. 3/95 Calculate prob of picking 1 a and 1 j when two letters picked without replacement from mxmmmamjjajm. 1/11 What is prob of picking 2 i when two letters picked without replacement from jmliiyj? 1/21 Calculate prob of picking 1 e, 1 q, and 1 c when three letters picked without replacement from {c: 4, q: 6, e: 7}. 21/85 What is prob of picking 1 m, 2 w, and 1 f when four letters picked without replacement from fwmwmwmwwwbmmbbw? 3/52 What is prob of picking 3 r and 1 s when four letters picked without replacement from srdrsldsrssdrurrrll? 175/3876 Calculate prob of picking 1 i and 1 y when two letters picked without replacement from iytcipp. 2/21 Calculate prob of picking 3 y and 1 j when four letters picked without replacement from jbjjyyybyhyky. 12/143 Calculate prob of picking 1 e and 1 m when two letters picked without replacement from gmgggeggge. 2/45 What is prob of picking 1 x, 1 o, and 2 b when four letters picked without replacement from bgxogbfbgoxttxb? 12/455 Two letters picked without replacement from loollololololllooo. What is prob of picking 2 l? 4/17 Four letters picked without replacement from jpupjjcpuppq. Give prob of picking 1 u, 2 j, and 1 q. 2/165 Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, l: 1}. 1/3 Four letters picked without replacement from {l: 2, m: 2, s: 2, o: 5, p: 5, r: 1}. What is prob of picking 1 l, 1 o, and 2 s? 1/238 Four letters picked without replacement from mmkbcmmmbcvkbvbmckv. Give prob of picking 4 b. 1/3876 Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, m: 6, t: 6}. 1/35 What is prob of picking 1 q and 2 t when three letters picked without replacement from atqqaaaaaataaaaqata? 3/323 Three letters picked without replacement from iii. Give prob of picking 3 i. 1 Calculate prob of picking 2 u when two letters picked without replacement from uux. 1/3 Two letters picked without replacement from {j: 2, v: 1}. Give prob of picking 1 j and 1 v. 2/3 Four letters picked without replacement from {v: 9, z: 2}. What is prob of picking 2 v and 2 z? 6/55 What is prob of picking 1 t and 2 c when three letters picked without replacement from {t: 2, l: 4, c: 2, n: 4}? 1/110 Calculate prob of picking 2 d when two letters picked without replacement from ddvvv. 1/10 What is prob of picking 1 p and 1 k when two letters picked without replacement from rpvvvppkrv? 1/15 Calculate prob of picking 3 v and 1 o when four letters picked without replacement from {v: 7, o: 9}. 9/52 Calculate prob of picking 1 h and 1 y when two letters picked without replacement from {h: 1, c: 2, a: 3, b: 3, y: 3, p: 3}. 1/35 What is prob of picking 3 s when three letters picked without replacement from {v: 4, m: 4, s: 8}? 1/10 What is prob of picking 3 i when three letters picked without replacement from {v: 3, i: 3, k: 2}? 1/56 What is prob of picking 1 e and 1 m when two letters picked without replacement from {c: 5, e: 6, h: 5, b: 2, u: 1, m: 1}? 3/95 Calculate prob of picking 1 u and 3 y when four letters picked without replacement from {u: 7, y: 6}. 28/143 Four letters picked without replacement from ncncrnnnnrnccccc. What is prob of picking 4 c? 1/52 What is prob of picking 1 c and 1 s when two letters picked without replacement from {s: 3, c: 1, d: 3}? 1/7 Two letters picked without replacement from {l: 12, d: 3}. Give prob of picking 2 d. 1/35 Four letters picked without replacement from uqbsauw. What is prob of picking 1 u, 1 w, 1 q, and 1 s? 2/35
{ "pile_set_name": "DM Mathematics" }
135, -4*i + 120 = -4*d. Suppose x - 5 = -2. What are the prime factors of x/(3*3/i)? 2, 5 Let l = 22 - 5. Let c = -9 + l. List the prime factors of c. 2 Let a(x) = 7*x**2 - 2*x + 3. List the prime factors of a(2). 3 Let c = 96 + -56. Let k be -1 - (-2 - (2 + 1)). What are the prime factors of c/18 + k/(-18)? 2 Let c(d) = -d**3 + 9*d**2 + 10*d. Let j be c(10). Let w(m) = m**2 + m + 60. What are the prime factors of w(j)? 2, 3, 5 Let v be 24/14 + 4/14. Suppose j - 4 = -0*j - s, v*j = -5*s - 1. What are the prime factors of j? 7 Let k(o) = o**3 + o - 9. Let z be k(0). List the prime factors of ((-54)/z)/(3/2). 2 Let n(l) = 4*l + 3 - 7*l + l**3 + 0*l. Let p be n(2). Suppose -5*a + 29 = -g, -p*a - 3*g = -3*a + 2. What are the prime factors of a? 5 Suppose 82 = 3*u - 3*t - 14, 5*u + t = 178. Suppose -2*r - 3 = -u. Suppose 2*b + 2*b = r. What are the prime factors of b? 2 Let a = -4 + 6. Suppose 9 = -i - 0*i + a*d, 4*i + 5*d = 29. What are the prime factors of 2*i*45/6? 3, 5 Let b(i) be the second derivative of -i**4/12 - i**3 + 4*i**2 - 2*i. Let f be b(-6). List the prime factors of 1 + 1 + -1 + f. 3 Suppose -3*x + 9 = 2*x - 3*n, 4*x + 6 = -2*n. Suppose 2*w - 28 = -x*w. What are the prime factors of w? 2, 7 Let s(i) = -i - 1. Let m(f) = -2*f**2 - 5. Let q(j) = -m(j) + 3*s(j). List the prime factors of q(3). 11 Suppose 3*f + 5*p = 2*f + 46, 45 = f + 4*p. What are the prime factors of f? 41 Suppose -o - 3 = c - 0*o, 0 = 2*c - 2*o + 2. List the prime factors of c/7 + 326/14. 23 Let a = 284 - 177. What are the prime factors of a? 107 Let l(t) = 2*t - 1. Let j be l(2). Suppose 0 = -4*q + 5*h + 32, h = 2*q - j*h - 16. Suppose 0 = 3*d - 7 - q. List the prime factors of d. 5 Let w(b) = -b**3 - 9*b**2 - 2*b - 12. Let g be w(-9). Let m be (g*(-1 - -2))/2. List the prime factors of (14/m)/(2/3). 7 Let j = 17 - 12. Suppose j*g - 23 - 52 = 0. List the prime factors of g. 3, 5 List the prime factors of (-112)/(4 - 20/4). 2, 7 Let w(o) = o + 6. Let t be w(-7). Let h be (-4)/6*18*t. Let r = -1 + h. List the prime factors of r. 11 Let a = 18 - 13. Let j(d) = -2*d - 3. Let q be j(a). Let o = -2 - q. List the prime factors of o. 11 Suppose -3*y = 2*y - 5*d - 30, 16 = 3*y - d. Suppose -20 = -0*u - y*u. What are the prime factors of u? 2 Suppose u = 5*z - 2*u - 59, -4*u = -3*z + 42. List the prime factors of z. 2, 5 Let f = 21 + -7. Let y = f + -1. List the prime factors of y. 13 What are the prime factors of (-9)/(-6)*(-462)/(-9)? 7, 11 Let p(k) = -k**3 + 4*k**2 + 3. Let h be p(3). Suppose x - h = -x. What are the prime factors of (-3)/x - 18/(-4)? 2 Let q = -19 - -27. Suppose -7*g = -q*g + 24. List the prime factors of g. 2, 3 Let t = -58 - -89. Let r = 47 - t. Let u = r + -9. What are the prime factors of u? 7 Let k be (-1)/(-2) - 35/(-2). Let s = -7 + k. List the prime factors of s. 11 Let z = 4 - 0. Suppose j = z*j - 27. List the prime factors of 114/j + 2/(-3). 2, 3 Suppose 5*q + 4*v - 18 = 7, 5*v = 0. Suppose 81 = q*w + 3*p, p + 2*p = 2*w - 45. List the prime factors of w. 2, 3 Suppose 3*z - 2*z - 39 = 0. What are the prime factors of z? 3, 13 Let t = 71 - 14. What are the prime factors of t? 3, 19 Let f(u) = u**2 + 6*u - 3. Let c be f(-5). Let h(r) = -5*r - 10. Let a be h(c). Suppose -4*b + 34 = -a. What are the prime factors of b? 2 Let w = -79 + 147. List the prime factors of w. 2, 17 Suppose 3*d + 2*d = 0. Suppose 90 = -3*j - d. Let z = -17 - j. List the prime factors of z. 13 List the prime factors of ((-745)/10)/(2/(-4)). 149 Suppose -3*q + t - 22 = 0, 2*q + 2*t = 4*t - 12. Let l = q - -11. Suppose -48 = -l*s - s. What are the prime factors of s? 2, 3 Suppose -731 - 189 = -4*s. List the prime factors of s. 2, 5, 23 Suppose -i = 76 - 138. List the prime factors of i. 2, 31 Let c(p) be the second derivative of p**4/12 + 5*p**3/6 - 3*p**2/2 - 2*p. Let k = -13 - -7. List the prime factors of c(k). 3 Let s = 69 - 26. Let q = s - 29. What are the prime factors of q? 2, 7 Let x = -205 + 363. What are the prime factors of x? 2, 79 Let h = 6 - 4. What are the prime factors of 11 - 2/(-1) - h? 11 Let j be ((-6)/(-8))/(1/(-4)). What are the prime factors of 16 - (3/j + 2)? 3, 5 Let f(v) = -v - 7. Let p be f(-5). Let m = 3 - p. List the prime factors of m. 5 Let z(g) = g**3 + 6*g**2 + 6*g + 12. Let x be z(-6). Suppose -5*v + 5*s = 40, 2*s - 80 = 5*v + 7*s. Let y = v - x. What are the prime factors of y? 2, 3 What are the prime factors of (-2)/7 + 107/7? 3, 5 Suppose 2*b + 4 = 3*b. Suppose 5*s - b*s = 20. What are the prime factors of s? 2, 5 List the prime factors of (6 - 4)*105/6. 5, 7 Let t(v) = 3*v**2 + 5*v - 6. Let l be t(-6). Suppose -f + 303 = -l. List the prime factors of f/18 + (-1)/(-6). 3, 7 Suppose -3*o + 15 = 2*o. Let a = o - -3. List the prime factors of a/9 + (-138)/(-9). 2 Let a be (-548)/10 + 3/(-15). Let o = 78 + a. What are the prime factors of o? 23 Suppose -3*h - m + 241 = 0, 54 = -2*h + m + 223. What are the prime factors of h? 2, 41 Suppose -y = -0*y + 2*s - 354, -s = 4. What are the prime factors of y? 2, 181 Suppose -a - 57 = -o, 4*a - 91 = -5*o + 194. List the prime factors of o. 3, 19 Suppose 0 = -2*w + 84 + 44. List the prime factors of w. 2 Suppose -3*p + 3*u - u - 9 = 0, 5*u - 15 = 0. Let h = 5 + p. Let g(j) = 2*j - 3. List the prime factors of g(h). 5 What are the prime factors of (-4)/10 + (-855)/(-75)? 11 Let a(x) = x**2 + 3*x + 9. List the prime factors of a(12). 3, 7 Let b be (0/(-7))/(-1 - -2). Let z be (2 + b)/(2/(-4)). What are the prime factors of ((-2)/(-3))/(z/(-96))? 2 Suppose -5*b = -4*c + 17, 6*b + 19 = 5*c + 2*b. What are the prime factors of c/(-12) + 122/8? 3, 5 Let d(x) = -x**3 - 5*x**2 - 4*x - 2. What are the prime factors of d(-5)? 2, 3 Suppose 198 = 3*v - 54. What are the prime factors of v? 2, 3, 7 Suppose 0*p = p + 1. List the prime factors of (p - -3)*-7*-1. 2, 7 What are the prime factors of 2*(-6)/(-4) + 24? 3 Suppose -k - 3*k - 4*j = -132, 151 = 5*k - 2*j. List the prime factors of k. 31 Suppose -s = 2*s - 3*m + 3, 0 = -4*m + 16. Suppose -s*i + 4 = -5*i. What are the prime factors of (i/(-5))/(1/30)? 2, 3 Suppose -3*n - 9*n + 576 = 0. What are the prime factors of n? 2, 3 Let m(k) = -k**2 - 3*k + 2. Let l be m(-3). Suppose l*s - 4*s = -30. List the prime factors of s. 3, 5 Let k(b) = -2*b + 3. Let y be k(2). Let j be (2/(-4))/(y/(-54)). Let p = j + 44. What are the prime factors of p? 17 Suppose 3*w + 2*s = -0*s + 173, 0 = 4*w - 2*s - 226. What are the prime factors of w? 3, 19 Let y = -3 - -7. Suppose 2*z - y*z = -6. Suppose 4*j - z*v - 56 = -5*v, 5*j - 75 = -5*v. List the prime factors of j. 13 Let j = -55 + -29. Let p = -39 - j. What are the prime factors of p? 3, 5 Let z be (1 - -2)*(-2)/(-2). Let h = -14 - -19. Suppose z*m = -2*t + 9, -11 - 14 = h*m. What are the prime factors of t? 2, 3 Let n be 1*(-5 - -3 - -2). Suppose -4*y + h - 2*h + 135 = n, 4*y - 3*h - 139 = 0. What are the prime factors of y? 2, 17 Let d = -15 - -27. Let j(l) be the first derivative of l**2 - 8*l - 10. List the prime factors of j(d). 2 Let o(a) = 2*a**3 - a**2 - 2*a - 1. Let d(n) = -6*n - 5 + n**2 + 2*n**2 - 2*n**2. Let v be d(7). List the prime factors of o(v). 7 Let v(w) = w**2 - w - 8. Let k be v(0). Let u = 7 + -3. Let m = u - k. What are the prime factors of m? 2, 3 Suppose -3*b - 6 + 72 = 0. What are the prime factors of b? 2, 11 Let l(j) = 30*j**2 - j. Let i be l(-1). Suppose -4*m - c = -5*c - 164, i = m + c. List the prime factors of m. 2, 3 Let r be 11*(1/1 - 0). Let q be 2/(2 + (-6)/4). Suppose 0 = -q*k - a + r, 0 = -3*k + 5*a - 2*a + 27. What are the prime factors of k? 2 Let a be 3 + -3 + 1 + -1. Let v = a - 0. What are the prime factors of 0 - 2 - (v - 9)? 7 Suppose 2*p = 72 - 4. Suppose 0*z = -2*z + p. List the prime factors of z. 17 Let i(c) = 2*c**2 + c - 3. What are the prime factors of i(-8)? 3, 13 What are the prime factors of 3354/130 - (-1)/5? 2, 13 List the prime factors of 490/12 - (-5)/30. 41 Let l(t) = t - 3. Suppose 3 - 33 = -5*w. Let j be l(w). Suppose -j*x + 42 = 3*k, -k + 5*x + 14 = k. List the prime factors of k. 2, 3 What are the prime factors of 40/6*(-96)/(-40)? 2 Suppose a = -4*l + 86, -5*a + 5*l - 32 + 512 = 0. What are the prime factors of a? 2, 47 Let d(c) be the second derivative of -c**5/20
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from {t: 2, j: 2, h: 11}. What is prob of sequence ht? 11/105 What is prob of sequence tttt when four letters picked without replacement from ttthhhhthtthhhthtt? 7/170 Four letters picked without replacement from {k: 11, o: 9}. Give prob of sequence kkko. 99/1292 Two letters picked without replacement from {g: 3, h: 1, p: 4, x: 2}. What is prob of sequence hg? 1/30 Calculate prob of sequence or when two letters picked without replacement from kkktkrrovrkk. 1/44 Three letters picked without replacement from {n: 5, u: 1, i: 5}. What is prob of sequence iin? 10/99 Two letters picked without replacement from {b: 6, a: 12}. Give prob of sequence bb. 5/51 Three letters picked without replacement from iiiiiiiciciiiiiicicc. What is prob of sequence iii? 91/228 Calculate prob of sequence bm when two letters picked without replacement from {b: 1, p: 1, x: 2, y: 1, m: 1, i: 2}. 1/56 What is prob of sequence xdd when three letters picked without replacement from xdd? 1/3 Two letters picked without replacement from {u: 2, c: 1, m: 2}. What is prob of sequence cu? 1/10 Calculate prob of sequence yy when two letters picked without replacement from ylliliiyyylyylb. 1/7 Calculate prob of sequence quq when three letters picked without replacement from gulglqugqnunguuqu. 3/340 Calculate prob of sequence dk when two letters picked without replacement from {k: 1, e: 2, g: 1, y: 1, d: 1, j: 1}. 1/42 What is prob of sequence obnn when four letters picked without replacement from osssnsbsnnsssss? 1/5460 What is prob of sequence yvsz when four letters picked without replacement from {y: 4, v: 5, z: 5, s: 1}? 5/1638 Three letters picked without replacement from fbzdfzfdffzffzfz. What is prob of sequence zfd? 1/42 What is prob of sequence fvi when three letters picked without replacement from efyivii? 1/70 Two letters picked without replacement from {d: 4, j: 3, b: 5, v: 1}. Give prob of sequence bj. 5/52 Calculate prob of sequence orr when three letters picked without replacement from orzzzorozzzooooz. 1/240 Calculate prob of sequence fp when two letters picked without replacement from fifplpilifi. 3/55 What is prob of sequence eoo when three letters picked without replacement from {e: 5, o: 3}? 5/56 Calculate prob of sequence vrw when three letters picked without replacement from vvrwwvvvvrwrrvrwrww. 14/323 Three letters picked without replacement from {s: 10, t: 3, j: 1, m: 3, k: 2}. What is prob of sequence kjk? 1/2907 Three letters picked without replacement from {i: 3, h: 2, n: 1, k: 1, q: 3}. What is prob of sequence khq? 1/120 Calculate prob of sequence ede when three letters picked without replacement from edee. 1/4 Calculate prob of sequence tt when two letters picked without replacement from {f: 1, t: 7}. 3/4 Calculate prob of sequence eze when three letters picked without replacement from {e: 10, n: 4, z: 5}. 25/323 Two letters picked without replacement from jmjjmmmm. Give prob of sequence jj. 3/28 Two letters picked without replacement from {v: 2, m: 6, a: 3, k: 8}. Give prob of sequence av. 1/57 What is prob of sequence nn when two letters picked without replacement from {n: 6, p: 13}? 5/57 Calculate prob of sequence zzz when three letters picked without replacement from wwwwwxwwwzxwwwx. 0 Two letters picked without replacement from {y: 1, u: 8, z: 9, s: 1}. Give prob of sequence ys. 1/342 Two letters picked without replacement from {r: 2, p: 1, f: 1, v: 2, m: 1, t: 1}. What is prob of sequence rr? 1/28 Two letters picked without replacement from {a: 1, f: 2, d: 9, j: 6}. Give prob of sequence fd. 1/17 Calculate prob of sequence zz when two letters picked without replacement from fzzzozoftffzzxoxtxot. 3/38 Calculate prob of sequence be when two letters picked without replacement from {e: 6, b: 7, p: 6}. 7/57 What is prob of sequence vbbv when four letters picked without replacement from {v: 7, b: 2}? 1/36 Four letters picked without replacement from {b: 7, r: 7}. Give prob of sequence brrr. 35/572 What is prob of sequence zdhh when four letters picked without replacement from pzpdupdhdzhzddd? 1/910 Three letters picked without replacement from {k: 2, d: 10, v: 4}. What is prob of sequence vkk? 1/420 What is prob of sequence ttt when three letters picked without replacement from ttttttt? 1 What is prob of sequence uzzu when four letters picked without replacement from fzzkfukzzkkzu? 1/429 What is prob of sequence nnu when three letters picked without replacement from nuun? 1/6 Calculate prob of sequence ujuj when four letters picked without replacement from ujjuuauwaaauuuauaj. 7/1530 What is prob of sequence tt when two letters picked without replacement from {t: 9}? 1 Four letters picked without replacement from iryvoyyhiyvvoyi. Give prob of sequence yohv. 1/1092 Calculate prob of sequence hms when three letters picked without replacement from uhuhusuaaasmsusuhuh. 8/2907 Two letters picked without replacement from ssxrxxsgxsg. Give prob of sequence rx. 2/55 Calculate prob of sequence qzq when three letters picked without replacement from qzqzqqqqqqzq. 9/55 Calculate prob of sequence eppe when four letters picked without replacement from epepee. 1/15 Three letters picked without replacement from aoaoo. What is prob of sequence aoa? 1/10 Three letters picked without replacement from {r: 5, z: 3, k: 2}. What is prob of sequence rkr? 1/18 Calculate prob of sequence gi when two letters picked without replacement from fiiiggi. 4/21 Calculate prob of sequence cpf when three letters picked without replacement from {s: 7, b: 3, p: 3, c: 2, f: 5}. 1/228 Two letters picked without replacement from {k: 8, h: 5}. Give prob of sequence hh. 5/39 What is prob of sequence yrtt when four letters picked without replacement from yytyyyyrryyrtyyyy? 3/2380 What is prob of sequence qeqq when four letters picked without replacement from {e: 2, q: 7}? 5/36 Three letters picked without replacement from {r: 1, q: 1, u: 2, m: 3, c: 1, p: 8}. Give prob of sequence prm. 1/140 Three letters picked without replacement from spploppplpplx. Give prob of sequence lol. 1/286 Four letters picked without replacement from ffzwwwniwffwffw. What is prob of sequence wwnz? 1/1092 Two letters picked without replacement from {m: 11, y: 2}. Give prob of sequence yy. 1/78 What is prob of sequence nne when three letters picked without replacement from {n: 3, e: 12}? 12/455 Calculate prob of sequence gcgg when four letters picked without replacement from {g: 5, c: 13}. 13/1224 Calculate prob of sequence cc when two letters picked without replacement from {m: 3, c: 1, g: 13}. 0 Three letters picked without replacement from {g: 7, m: 1, l: 3, j: 1, a: 4}. Give prob of sequence lja. 1/280 Two letters picked without replacement from xjtttxtjttg. Give prob of sequence xt. 6/55 What is prob of sequence ps when two letters picked without replacement from {b: 4, p: 1, s: 3, o: 8, g: 1}? 3/272 Calculate prob of sequence pdh when three letters picked without replacement from {d: 3, o: 7, p: 1, h: 7, z: 1}. 7/1938 Calculate prob of sequence poo when three letters picked without replacement from {o: 3, p: 3, h: 1}. 3/35 Three letters picked without replacement from wlzwzyzz. Give prob of sequence yzl. 1/84 Four letters picked without replacement from {g: 2, a: 5, s: 6}. Give prob of sequence agga. 1/429 Three letters picked without replacement from {c: 4, y: 1, h: 5}. Give prob of sequence ccy. 1/60 Three letters picked without replacement from fqqmqfqqqqmqqq. What is prob of sequence qqf? 15/182 Calculate prob of sequence llll when four letters picked without replacement from lllllllll. 1 Four letters picked without replacement from foofffnof. What is prob of sequence foof? 5/126 Calculate prob of sequence saqe when four letters picked without replacement from awawawsasqwpwea. 1/3276 What is prob of sequence nnnn when four letters picked without replacement from {n: 10}? 1 What is prob of sequence uu when two letters picked without replacement from ohhguuuogughhggghgg? 2/57 Two letters picked without replacement from zdzgrdgdgddrg. Give prob of sequence rd. 5/78 What is prob of sequence etw when three letters picked without replacement from {t: 1, e: 4, w: 1, h: 4, x: 1}? 2/495 Fou
{ "pile_set_name": "DM Mathematics" }