(m + 99)/2
Determine p so that -2*p**4/13 + 82*p**3/13 + 114264*p**2/13 - 575352*p/13 - 4123872/13 = 0.
-222, -4, 9, 258
Determine v, given that -v**4 + 5275458*v**3 - 42203613*v**2 + 68580856*v - 31652700 = 0.
1, 6, 5275450
Determine j, given that -j**4/7 + 9184*j**3 - 192855*j**2/7 = 0.
0, 3, 64285
Factor y**2 - 43277*y + 3714426.
(y - 43191)*(y - 86)
Factor 2*m**3/21 + 2833730*m**2/21.
2*m**2*(m + 1416865)/21
Factor 3*x**3/5 - 918*x**2/5 + 27027*x/5.
3*x*(x - 273)*(x - 33)/5
Solve -m**5/3 + 233*m**4 + 2128*m**3 - 8404*m**2/3 - 21760*m + 33984 = 0.
-9, -4, 2, 708
Solve -3*c**2/4 + 68121*c/2 + 17625141/4 = 0 for c.
-129, 45543
Factor 4*c**2 - 2093872*c - 4187760.
4*(c - 523470)*(c + 2)
Let -2*u**4 - 6052*u**3 + 54654*u**2 + 72800*u - 121400 = 0. What is u?
-3035, -2, 1, 10
Factor d**2/2 - 93503*d - 11411087/2.
(d - 187067)*(d + 61)/2
Find s, given that -s**4 + 2532*s**3 - 1955460*s**2 + 418211200*s = 0.
0, 352, 1090
Solve -x**4/3 - 865*x**3 - 667269*x**2 - 130010499*x + 396060300 = 0.
-1149, -300, 3
What is w in -2*w**5 + 4718*w**4/5 - 22406*w**3/5 - 934*w**2 = 0?
-1/5, 0, 5, 467
Factor -3*y**2 - 1082121*y - 2164230.
-3*(y + 2)*(y + 360705)
Find d, given that 3219*d**3/7 - 35415*d**2/7 - 46896*d + 612/7 = 0.
-6, 2/1073, 17
Solve -4*k**2 - 379593184*k - 9005686583703616 = 0 for k.
-47449148
Suppose -1658*u**4/9 - 18242*u**3/9 + 664814*u**2/9 + 2115554*u/9 + 1700/3 = 0. What is u?
-25, -3, -2/829, 17
Factor -4*v**3/7 - 2529836*v**2/7 - 57137881620*v + 12401351603100/7.
-4*(v - 31)*(v + 316245)**2/7
Find j such that 2*j**4/7 + 794*j**3/7 + 8556*j**2/7 - 2393208*j - 16774128 = 0.
-258, -7, 126
Factor t**3 + 1702*t**2 - 32681*t + 30978.
(t - 18)*(t - 1)*(t + 1721)
What is h in h**5 - 1735*h**4 + 513161*h**3 + 1035007*h**2 - 513162*h - 1033272 = 0?
-2, -1, 1, 381, 1356
Determine u, given that -u**5 - 203*u**4 + 13498*u**3 - 97108*u**2 + 141864*u = 0.
-257, 0, 2, 6, 46
Determine r so that -3*r**3/5 + 11215101*r**2/5 - 11215098*r/5 = 0.
0, 1, 3738366
Find z such that 8*z**3/3 + 262817806*z**2/3 + 719512480201900*z - 179878125525846 = 0.
-16426113, 1/4
Factor o**3/5 - 561*o**2/5 - 247068*o/5 - 736128/5.
(o - 852)*(o + 3)*(o + 288)/5
Suppose -h**5 + 5400*h**4 + 27049*h**3 - 129724*h**2 + 21588*h + 172960 = 0. Calculate h.
-8, -1, 2, 5405
Let -20*t**5 - 20952*t**4 + 115164*t**3 + 1518128*t**2 + 1902864*t - 1010880 = 0. Calculate t.
-1053, -5, -2, 2/5, 12
Factor 3*h**3 + 166710744*h**2 + 2316039347086128*h.
3*h*(h + 27785124)**2
Factor -5*u**2/3 - 98750*u/3 - 230335.
-5*(u + 7)*(u + 19743)/3
Factor 3*n**2 + 15948*n + 21167817.
3*(n + 2563)*(n + 2753)
Factor -l**3/5 + 2124*l**2/5 + 1467477*l/5.
-l*(l - 2673)*(l + 549)/5
Let r**4 + 201125*r**3 + 13484090400*r**2 + 301369417088000*r + 1506510008320000 = 0. What is r?
-67040, -5
Suppose -3*z**5 + 4749*z**4 + 4558179*z**3 + 765832143*z**2 - 42689035368*z + 519953590044 = 0. What is z?
-378, 23, 2293
Find z such that 5*z**4/6 + 680*z**3/3 - 325165*z**2/6 + 821880*z - 3226080 = 0.
-429, 8, 141
Factor 3*q**3 - 148718*q**2 - 49573*q.
q*(q - 49573)*(3*q + 1)
Find s such that 32*s**4/7 - 3056*s**3/7 - 177294*s**2/7 + 1662770*s/7 - 3640244/7 = 0.
-47, 17/4, 134
Let 2*t**3/13 + 5723290*t**2/13 + 4094486021424*t/13 - 28661682591864/13 = 0. Calculate t.
-1430826, 7
Suppose 2*p**3/3 - 15952*p**2/3 - 48709762*p/3 = 0. Calculate p.
-2357, 0, 10333
Factor -3589*o**2 - 488107*o - 408.
-(o + 136)*(3589*o + 3)
Find n, given that 5*n**3 + 27620*n**2 + 40155700*n + 5483092960 = 0.
-2686, -152
Let -v**4/5 - 1036*v**3/5 - 86169*v**2/5 + 1446214*v/5 + 3228832/5 = 0. Calculate v.
-943, -107, -2, 16
Factor -d**2 + 382948*d + 1914765.
-(d - 382953)*(d + 5)
Find q, given that 2*q**2/3 + 13258*q + 52650772/3 = 0.
-18461, -1426
Determine f so that f**5 - 267*f**4 + 9882*f**3 - 98870*f**2 + 377925*f - 489375 = 0.
3, 5, 29, 225
What is q in 126*q**5 - 8940*q**4 - 59842*q**3 + 87512*q**2 + 185752*q + 68992 = 0?
-7, -2/3, 16/7, 77
Factor -5*i**4 + 655*i**3 + 2000*i**2 + 1340*i.
-5*i*(i - 134)*(i + 1)*(i + 2)
Determine n so that -5*n**3 + 17305*n**2 - 12619970*n - 25309200 = 0.
-2, 1048, 2415
Factor 2*m**2 + 24008050*m.
2*m*(m + 12004025)
Find k such that -k**4/6 + 148129853*k**3/6 - 2438050405117923*k**2/2 + 120382690832403749265247*k/6 - 120382676204101911077113/3 = 0.
2, 49376617
Suppose -4*g**5 + 57180*g**4 - 39926500*g**3 + 119379300*g**2 - 79509976*g = 0. Calculate g.
0, 1, 2, 733, 13559
Determine f, given that -f**4 - 375566*f**3 + 4882517*f**2 - 3755814*f - 9013896 = 0.
-375579, -1, 2, 12
Let -d**2/2 + 2043010*d - 2086944930050 = 0. What is d?
2043010
Solve 4*k**2 + 103320*k - 4450156 = 0 for k.
-25873, 43
Solve g**3/4 + 598399*g**2/2 + 9574311*g/4 - 5385555/2 = 0.
-1196790, -9, 1
Determine a so that 138*a**4 - 35331*a**3/8 + 12294*a**2 - 64299*a/8 + 87/4 = 0.
1/368, 1, 2, 29
Let 7*r**5/3 + 210149*r**4/2 + 2814031*r**3/3 + 2806429*r**2/2 - 315161*r/3 = 0. Calculate r.
-45023, -7, -2, 0, 1/14
Factor -5*a**4 - 37475*a**3 - 2709030*a**2.
-5*a**2*(a + 73)*(a + 7422)
Factor 5*c**4 + 145835*c**3 - 6569325*c**2 + 98573625*c - 492952500.
5*(c - 15)**3*(c + 29212)
Determine w so that -2*w**4 + 125324*w**3 + 626654*w**2 + 1002664*w + 501336 = 0.
-2, -1, 62667
Find f such that 6*f**5 + 15740*f**4 + 130858*f**3 + 282420*f**2 - 64*f - 167360 = 0.
-2615, -4, -1, 2/3
Solve -n**3/4 - 55405*n**2 - 3069935633*n - 24555939272 = 0 for n.
-110806, -8
Factor -4*y**2/3 + 256636*y/3 - 16460584.
-4*(y - 63966)*(y - 193)/3
Determine v so that v**2 - 29084203*v + 29084202 = 0.
1, 29084202
What is d in 3*d**2 + 8928*d - 752268 = 0?
-3058, 82
Suppose -z**2 - 32810*z + 29370704 = 0. Calculate z.
-33682, 872
Factor 6777090*f**2 - 1505975*f - 10.
5*(9*f - 2)*(150602*f + 1)
Let 3*k**2/7 - 5058867*k/7 - 116355528/7 = 0. What is k?
-23, 1686312
Find z such that -3042*z**3 + 12164*z**2 + 36520*z + 48 = 0.
-2, -2/1521, 6
Determine g, given that 1736*g**3/5 + 3694*g**2 - 52022*g/5 + 16276/5 = 0.
-13, 313/868, 2
Suppose -b**4/3 + 16588*b**3/3 - 30379440*b**2 + 162591920192*b/3 + 17914087998976/3 = 0. Calculate b.
-104, 5564
Factor -2*y**3/5 + 86242*y**2/5 - 928717744*y/5 - 21406154464/5.
-2*(y - 21572)**2*(y + 23)/5
Let 18*q**5/17 - 17708*q**4/17 + 143724*q**3 + 940218568*q**2/17 + 50871991170*q/17 + 11258483236/17 = 0. What is q?
-91, -2/9, 583
Suppose y**4 - 36265*y**3 + 1847781*y**2 - 31402451*y + 177919382 = 0. What is y?
17, 36214
Determine r, given that 2*r**3 - 19775322*r**2 - 59325980*r - 39550656 = 0.
-2, -1, 9887664
Find w, given that 3*w**4 - 2379*w**3 - 63609*w**2 - 223389*w - 162162 = 0.
-22, -3, -1, 819
Factor -5*x**2/6 - 631435*x/3 + 1262875/6.
-5*(x - 1)*(x + 252575)/6
Determine t, given that t**2 - 92170*t + 92169 = 0.
1, 92169
Suppose f**5/11 - 931*f**4/11 - 296691*f**3/11 - 27116501*f**2/11 - 775284502*f/11 = 0. Calculate f.
-103, -61, 0, 1198
Determine n so that -5*n**5 - 19585*n**4 - 448340*n**3 - 2062260*n**2 + 6074640*n = 0.
-3894, -13, -12, 0, 2
Find c such that 14*c**5 + 13382*c**4/3 - 9928*c**3/3 - 110720*c**2/3 + 130432*c/3 + 15328 = 0.
-958/3, -3, -2/7, 2
Solve -2*u**3/5 - 1605698*u**2/5 + 1605704*u/5 + 642280 = 0.
-802850, -1, 2
Suppose a**4/5 + 38171*a**3 + 2862627*a**2/5 + 5152693*a/5 + 496184 = 0. Calculate a.
-190840, -13, -1
Factor z**4/7 + 9076*z**3/7 + 21602116*z**2/7 + 653907648*z + 36336400128.
(z + 114)**2*(z + 4424)**2/7
Solve i**2/3 + 45410*i/3 - 181688 = 0.
-45422, 12
Determine n, given that 2*n**3/13 + 11416*n**2 - 10098680*n/13 + 171716864/13 = 0.
-74272, 34
Determine j, given that -22*j**4/9 + 267832*j**3/9 - 2723918*j**2/9 - 9950308*j/9 + 632528/3 = 0.
-3, 2/11, 13, 12164
Let -2*i**4/5 - 39758*i**3 + 9544992*i**2/5 - 152736256*i/5 + 814637056/5 = 0. What is i?
-99443, 16
Factor 20*w**3 - 53887136*w**2 + 215548496*w/5 - 43109696/5.
4*(w - 2694356)*(5*w - 2)**2/5
Suppose 4*k**2 - 240980*k + 330680800 = 0. Calculate k.
1405, 58840
Determine k, given that 21*k**4 - 205995*k**3 + 2699604*k**2 + 327979668*k - 93924048 = 0.
-34, 2/7, 47, 9796
Determine w, given that -2*w**4/3 - 974*w**3 - 906068*w**2/3 + 912896*w - 1829696/3 = 0.
-1012, -452, 1, 2
Let 625*c**3 - 137034550*c**2 + 175403456*c - 56129024 = 0. What is c?
16/25, 219254
What is c in 196*c**5/9 + 39956*c**4/3 - 36057880*c**3/9 - 93363952*c**2/9 - 14836384*c/3 - 5937152