t 3*z**5 + 93*z**4 - 5427*z**3 + 20607*z**2 - 25320*z + 10044 = 0.
-62, 1, 2, 27
Factor 5*q**2 + 3320*q + 3315.
5*(q + 1)*(q + 663)
Factor 14*f**2/11 - 65750*f/11 + 28176/11.
2*(f - 4696)*(7*f - 3)/11
Suppose 3*p**3/8 + 248097*p**2/8 = 0. What is p?
-82699, 0
Determine i, given that -5*i**4 - 16590*i**3 + 906932700*i**2 - 5349608102610*i + 9271282117706505 = 0.
-17511, 4731
Factor -7656175805*v**2/3 - 27391700*v - 73500.
-5*(39131*v + 210)**2/3
Determine u, given that -4*u**3 - 25501280*u**2 + 25501284*u = 0.
-6375321, 0, 1
Let 2*d**5/11 - 3338*d**4/11 + 322594*d**3/11 + 3338*d**2/11 - 322596*d/11 = 0. Calculate d.
-1, 0, 1, 103, 1566
Find j such that -35*j**2 - 366047560*j + 104585020 = 0.
-10458502, 2/7
Determine k so that 2*k**2 + 1354254*k + 10833904 = 0.
-677119, -8
Factor -2*q**2/11 + 404114852*q/11 - 20413601700872738/11.
-2*(q - 101028713)**2/11
Find m, given that -m**3/4 + 12082*m**2 + 24165*m = 0.
-2, 0, 48330
Factor -4*s**3 - 696*s**2 + 2231056*s + 4464864.
-4*(s - 666)*(s + 2)*(s + 838)
Find x such that 2*x**5/5 - 602*x**4/5 - 31332*x**3 + 160848*x**2/5 + 943488*x/5 = 0.
-168, -2, 0, 3, 468
Let -4*m**3/7 + 40392*m**2/7 + 485332*m/7 - 525720/7 = 0. What is m?
-13, 1, 10110
Determine f so that -2*f**3/3 + 256*f**2/3 + 238210*f/3 = 0.
-287, 0, 415
Determine n, given that -n**3/3 - 57067*n**2 - 2442966864*n - 124541837888/3 = 0.
-85592, -17
Solve 3*p**5/8 + 189*p**4/4 + 177*p**3/2 - 2259*p**2/4 - 6615*p/8 + 2511/2 = 0.
-124, -3, 1, 3
Determine b, given that -87*b**5/2 + 34443*b**4/2 - 1258893*b**3/2 - 1496847*b**2/2 + 1226502*b + 134190 = 0.
-2, -3/29, 1, 42, 355
Factor 2*n**3 + 1100*n**2 - 307994*n + 4090828.
2*(n - 193)*(n - 14)*(n + 757)
Factor -2*x**2/15 - 1367058*x - 20505868/15.
-2*(x + 1)*(x + 10252934)/15
Find o, given that o**2 + 532632*o - 4261120 = 0.
-532640, 8
Factor -2*f**3/3 + 10681030*f**2 - 128172288*f + 384516792.
-2*(f - 16021533)*(f - 6)**2/3
Solve -21*l**2 + 151814*l - 491368 = 0 for l.
68/21, 7226
What is d in 11*d**2 - 17672*d/5 - 13195 = 0?
-203/55, 325
Solve -o**3/8 - 1137921*o**2/4 + 2275845*o/8 + 2275843/4 = 0.
-2275843, -1, 2
Find q such that q**2/2 - 34935*q - 69872 = 0.
-2, 69872
Suppose -46*u**4/3 - 14890*u**3 - 4830142*u**2 - 1580167034*u/3 - 1078344544 = 0. What is u?
-323, -48/23
Solve -5*m**4/3 - 3035*m**3/3 - 107980*m**2 - 932620*m/3 + 1259600/3 = 0 for m.
-470, -134, -4, 1
What is s in -4*s**3/3 - 7110676*s**2/3 - 42663884*s/3 + 49774564/3 = 0?
-1777663, -7, 1
Solve -3*p**4 - 14088*p**3 - 224475*p**2 + 772086*p - 533520 = 0.
-4680, -19, 1, 2
Factor -32*p**3/9 + 15508706*p**2/9 - 323098*p/3.
-2*p*(p - 484647)*(16*p - 1)/9
Solve 6*f**4 + 5304027*f**3 + 416329380*f**2 + 206838684*f = 0.
-883926, -78, -1/2, 0
Find a such that 5*a**3 + 12835*a**2 + 4639335*a + 22876425 = 0.
-2133, -429, -5
What is b in -4*b**3 - 33636*b**2 - 1807596*b - 24363180 = 0?
-8355, -27
Determine f so that 4*f**4/5 - 10264*f**3/5 + 220884*f**2 + 10629376*f/5 + 16758896/5 = 0.
-7, -2, 122, 2453
Factor -g**3 + 5041*g**2 + 15186*g - 272376.
-(g - 5044)*(g - 6)*(g + 9)
Solve 2*x**4/5 - 612*x**3 - 726342*x**2/5 - 9659296*x - 163879560 = 0.
-95, -26, 1746
Let c**2/8 + 19171*c/2 - 1112759/2 = 0. Calculate c.
-76742, 58
Factor 4*y**2 - 165898908*y + 331797800.
4*(y - 41474725)*(y - 2)
Factor 2*b**2/9 + 203771764*b/9 + 5190366475458962/9.
2*(b + 50942941)**2/9
Find o such that o**3 + 558525*o**2 + 77991174192*o + 1013790875968 = 0.
-279256, -13
Suppose 2*l**4 - 65554*l**3 - 778837122*l**2 - 2711182307526*l - 3058363651773528 = 0. Calculate l.
-3297, 42668
Factor 3072*w**5 - 4528126*w**4 - 2948*w**3.
2*w**3*(w - 1474)*(1536*w + 1)
Determine d, given that -2*d**2/11 - 326788652*d/11 - 13348852884497138/11 = 0.
-81697163
Factor 4*l**2/5 - 254544*l/5 - 42876288/5.
4*(l - 63804)*(l + 168)/5
Let 2489349845*c**3 - 1087845436005*c**2 - 195015600*c - 8740 = 0. What is c?
-2/22313, 437
Determine a so that -2*a**2 + 27346104*a - 93476175497352 = 0.
6836526
Suppose 545*y**5/3 + 1450*y**4 + 4825*y**3/3 - 3300*y**2 + 60*y = 0. Calculate y.
-6, -3, 0, 2/109, 1
Determine a, given that 3*a**2 + 84435*a - 1098162 = 0.
-28158, 13
Let 8*r**5 + 44786*r**4/3 + 297668*r**3 + 1991198*r**2 + 13517000*r/3 + 361816 = 0. Calculate r.
-1846, -7, -6, -1/12
Determine y, given that 2*y**5/5 + 22*y**4/5 - 3046*y**3/5 - 27422*y**2/5 + 63884*y/5 - 6688 = 0.
-40, -11, 1, 38
Solve -4538*w**4/21 + 270778*w**3/7 + 12424*w**2/21 - 1083112*w/7 + 22912/21 = 0 for w.
-2, 16/2269, 2, 179
Factor q**2/4 - 1090247*q/4.
q*(q - 1090247)/4
Let -2*i**2/15 + 3028286*i/15 + 3028288/15 = 0. Calculate i.
-1, 1514144
Solve -5091*o**5/5 + 40776*o**4/5 + 35253*o**3/5 - 254886*o**2/5 - 241968*o/5 + 2304/5 = 0 for o.
-2, -1, 16/1697, 3, 8
Determine s, given that -3*s**2/7 + 62316*s/7 + 56890944/7 = 0.
-876, 21648
Suppose -35*l**3 - 41065*l**2 - 4821150*l - 1374120 = 0. What is l?
-1041, -132, -2/7
Solve -11*s**4/4 + 767*s**3/2 - 16697*s**2 + 212802*s + 121104 = 0.
-6/11, 24, 58
Suppose 8*y**5/9 + 9740480*y**4/9 + 2964924188090*y**3/9 + 3953190853850*y**2/3 + 1070653810080*y + 247073768856 = 0. What is y?
-608778, -3, -1/2
Solve -3*u**4/2 - 5172*u**3 + 207783*u**2/2 - 514998*u = 0.
-3468, 0, 9, 11
Let -2*k**3/7 + 32530*k**2 + 3871564*k/7 + 1366464 = 0. What is k?
-14, -3, 113872
Factor 2*t**3 + 1628*t**2 + 196098*t + 6436872.
2*(t + 69)**2*(t + 676)
Factor -4*w**2 + 150608*w + 1958580.
-4*(w - 37665)*(w + 13)
Let -7*u**5/8 - 1489*u**4/2 - 104521*u**3/8 - 41265*u**2 - 52479*u/2 = 0. What is u?
-833, -14, -3, -6/7, 0
Determine l so that -9*l**4 - 7539*l**3/2 - 129243*l**2/2 - 104613*l + 19248 = 0.
-401, -16, -2, 1/6
Let -3*j**3 - 2010624*j**2 + 6031911*j + 8042532 = 0. What is j?
-670211, -1, 4
Determine z, given that -5*z**2 + 686770*z + 4807635 = 0.
-7, 137361
What is c in -2*c**4/21 + 278*c**3/21 + 1220*c**2/7 - 18000*c/7 = 0?
-20, 0, 9, 150
Find q, given that -2*q**2/5 + 28562*q/5 - 6960368/5 = 0.
248, 14033
Factor -87*f**3 + 43*f**2 + 748*f - 492.
-(f + 3)*(3*f - 2)*(29*f - 82)
Solve 3*n**5 + 2340*n**4 - 72393*n**3 - 7819650*n**2 - 114855000*n = 0 for n.
-806, -25, 0, 76
Factor 7592832*j**4/5 - 25797376800*j**3 - 2480518872*j**2/5 - 15900766*j/5 - 33976/5.
2*(j - 16988)*(156*j + 1)**3/5
Suppose 5*d**2 - 5665480*d - 5665485 = 0. Calculate d.
-1, 1133097
Let 4*x**3/5 + 4142284*x**2/5 - 1656916*x + 4142292/5 = 0. What is x?
-1035573, 1
Let 3*z**2/7 - 10068*z/7 - 15873 = 0. Calculate z.
-11, 3367
Factor 2*o**3/11 - 372720*o**2/11 - 9691734*o/11 - 62998468/11.
2*(o - 186386)*(o + 13)**2/11
Factor 2*q**2/7 + 11769620*q/7 + 17315494368050/7.
2*(q + 2942405)**2/7
Determine g so that 3*g**2 - 624780*g - 3123975 = 0.
-5, 208265
Determine i so that 3*i**2 + 1783290*i - 32100192 = 0.
-594448, 18
Determine f so that -f**2 - 49390*f + 17358911 = 0.
-49739, 349
Factor 207*i**2/2 + 99155*i + 1916.
(i + 958)*(207*i + 4)/2
Find l such that -l**4 + 24917*l**3 + 448834*l**2 - 99668*l - 1795320 = 0.
-18, -2, 2, 24935
Find c, given that -c**5/7 - 18448*c**4/7 - 84693624*c**3/7 + 3586431118*c**2/7 - 15303239255*c/7 - 18974345550/7 = 0.
-9245, -1, 6, 37
Let 9*j**3/4 - 295845*j**2 + 9725312673*j - 25932063384 = 0. What is j?
8/3, 65742
Factor 4*h**3 + 3984*h**2 - 1127004*h + 1123016.
4*(h - 229)*(h - 1)*(h + 1226)
Find w, given that 4*w**3 + 1140400*w**2 - 15966188*w + 55882344 = 0.
-285114, 7
Find m such that -3*m**3 + 132*m**2 + 38196*m - 1805760 = 0.
-114, 48, 110
Find l, given that 31281649*l**5 + 126312312*l**4 + 161162345*l**3 + 68536822*l**2 + 2427612*l + 22472 = 0.
-2, -1, -106/5593
Let -32*q**3/7 - 222384*q**2/7 + 2353554*q + 1667766095980/7 = 0. What is q?
-18679/4, 2390
Find c, given that 2*c**4/5 + 5190*c**3 + 259332*c**2/5 + 82976*c = 0.
-12965, -8, -2, 0
Factor 2*w**2 + 112750660*w + 1589088916304450.
2*(w + 28187665)**2
Suppose d**4/2 + 3915*d**3/2 - 3951137*d**2/2 + 903865185*d/2 - 1776246682 = 0. What is d?
-4781, 4, 431
Let 2*n**2/5 - 7742*n/5 + 732156/5 = 0. Calculate n.
97, 3774
Factor 5*x**2 - 114686920*x + 657654480954320.
5*(x - 11468692)**2
Solve 124*l**2/7 + 50238*l/7 + 7290/7 = 0.
-405, -9/62
Factor 3*m**2 - 6357*m + 2819352.
3*(m - 1487)*(m - 632)
Solve z**2/8 - 774933*z/4 + 600521154489/8 = 0 for z.
774933
Let -2*t**2 - 47562*t + 618644 = 0. What is t?
-23794, 13
Factor -10*k**2 - 511044