e k**2 + 385*k - 221516 = 0 for k.
-701, 316
Solve -j**4 + 28277*j**3 - 791217*j**2 + 6921691*j - 19378814 = 0 for j.
7, 14, 28249
Find w, given that 115934*w**3/9 + 85996274*w**2/9 + 5317829440*w/3 + 253035008 = 0.
-33744/91, -1/7
Solve 2*w**3/15 - 2591182*w**2/15 - 863728*w/5 = 0.
-1, 0, 1295592
Solve k**4 + 721*k**3 - 37125*k**2 - 163537*k + 199940 = 0.
-769, -5, 1, 52
Factor 5*p**2 - 119715*p - 4076090.
5*(p - 23977)*(p + 34)
Determine l so that 2*l**4/11 + 1434*l**3/11 - 131202*l**2/11 - 132634*l/11 = 0.
-799, -1, 0, 83
What is y in -2*y**5/15 + 39938*y**4/15 + 15982*y**3 - 599266*y**2/15 + 63920*y/3 = 0?
-8, 0, 1, 19975
Find v, given that 3*v**2 - 615072*v - 17839611 = 0.
-29, 205053
Solve 2*s**3/3 - 38980634*s**2/3 - 155922560*s/3 - 155922568/3 = 0.
-2, 19490321
Factor 2*o**3 + 162148*o**2 + 3278374338*o - 329460913800.
2*(o - 100)*(o + 40587)**2
Solve 6*r**5 - 1635*r**4 + 25857*r**3 - 132384*r**2 + 271092*r - 193536 = 0.
2, 7/2, 9, 256
Suppose 4*p**3 - 245952*p**2 - 1721812*p - 2951760 = 0. What is p?
-4, -3, 61495
Suppose n**3 - 1025*n**2 + 74298*n - 409104 = 0. Calculate n.
6, 72, 947
Factor 630548778098*n**2/3 - 386307184*n/3 + 59168/3.
2*(561493*n - 172)**2/3
Find i such that -2*i**3/5 + 563356*i**2/5 + 1126742*i + 2816880 = 0.
-5, 281688
Solve 3*h**2/2 + 143061*h + 1430535/2 = 0.
-95369, -5
Solve 255*y**5/8 - 3948*y**4 + 746001*y**3/8 + 17196*y**2 - 93282*y - 13248 = 0.
-1, -12/85, 1, 32, 92
Factor 2*a**2 - 99494*a + 120013740.
2*(a - 48510)*(a - 1237)
Let u**4 + 464*u**3 + 36391*u**2 - 4176*u - 327600 = 0. Calculate u.
-364, -100, -3, 3
Suppose 2*g**2/9 - 33074*g/9 + 3945724/3 = 0. Calculate g.
366, 16171
Determine s, given that -2*s**5/7 - 132*s**4/7 + 7502*s**3/7 + 15888*s**2/7 - 23256*s/7 = 0.
-102, -3, 0, 1, 38
Factor 2*r**3 + 360090*r**2 - 2520708*r + 3601040.
2*(r - 5)*(r - 2)*(r + 180052)
Suppose -2*r**5/3 - 1412*r**4 - 171538*r**3/3 - 850008*r**2 - 5389344*r - 11963520 = 0. What is r?
-2077, -12, -5
Factor -m**2/6 + 457*m/6 + 12599.
-(m - 586)*(m + 129)/6
Determine x, given that 2*x**2 + 99245052*x + 1231197543310338 = 0.
-24811263
Let 3*x**3 + 1355547*x**2 + 8133201*x + 12199761 = 0. Calculate x.
-451843, -3
Solve -2*x**5/9 - 416*x**4/9 - 31436*x**3/9 - 997432*x**2/9 - 9684610*x/9 + 56817800/9 = 0.
-65, -41, 4
What is d in -4*d**5/3 - 244*d**4/3 - 2680*d**3/3 - 2200*d**2/3 + 2684*d/3 + 2444/3 = 0?
-47, -13, -1, 1
Factor 3*g**2 + 3264963*g - 3264966.
3*(g - 1)*(g + 1088322)
Suppose -o**2/8 + 2945*o/4 - 2943 = 0. What is o?
4, 5886
Suppose 3*f**3 + 2721*f**2 + 8106*f - 27120 = 0. Calculate f.
-904, -5, 2
Suppose x**2/4 - 17489*x/4 - 9488425/2 = 0. What is x?
-1025, 18514
Factor -m**3 - 41031*m**2 + 779902*m - 1970400.
-(m - 16)*(m - 3)*(m + 41050)
Factor -r**3/4 - 1773207*r**2/4 - 886603*r/2.
-r*(r + 1)*(r + 1773206)/4
Find w, given that -30*w**3 - 49848172*w**2 + 13292848*w = 0.
-1661606, 0, 4/15
Solve -2*l**3/9 + 2434*l**2/9 + 4384*l = 0 for l.
-16, 0, 1233
Factor -2*s**2/13 + 262970*s/13 - 2892428/13.
-2*(s - 131474)*(s - 11)/13
Factor -4*i**2 + 81860*i - 33675600.
-4*(i - 20045)*(i - 420)
Let k**3/2 - 341*k**2/2 + 498*k + 3042 = 0. What is k?
-3, 6, 338
Determine p, given that -5*p**4/2 - 4285*p**3/2 + 6540*p**2 + 77130*p - 232200 = 0.
-860, -6, 3, 6
Find d, given that -2*d**5/9 + 43828*d**4/3 - 2162056588*d**3/9 + 34547291096*d**2/9 + 21864213982*d - 3650321479220/9 = 0.
-10, 13, 32863
Factor -2*y**3/15 + 135718*y**2/5.
-2*y**2*(y - 203577)/15
What is s in 16*s**5 + 8404*s**4 + 471412*s**3 - 4044464*s**2 + 7556032*s + 2149120 = 0?
-460, -73, -1/4, 4
Determine g so that -5*g**2 + 7312825*g + 14625670 = 0.
-2, 1462567
What is n in 4*n**5/3 - 1576*n**4/3 + 5660*n**3 - 49136*n**2/3 + 42896*n/3 = 0?
0, 2, 7, 383
What is x in 214*x**3/5 + 132682*x**2/5 + 265744*x/5 + 2472/5 = 0?
-618, -2, -1/107
Find u such that -2*u**4 - 88*u**3 + 118*u**2 + 8052*u - 30960 = 0.
-43, -12, 5, 6
Let 5*z**4/4 - 12465*z**3/4 - 35*z**2/4 + 87285*z/4 - 37395/2 = 0. What is z?
-3, 1, 2, 2493
Factor -4*s**3/9 - 429068*s**2/9 - 3836189600*s/3 - 14060260544.
-4*(s + 11)*(s + 53628)**2/9
Let -2*b**5 + 56902*b**4 - 340838*b**3 - 14280950*b**2 + 44340400*b + 961441000 = 0. Calculate b.
-10, 13, 28445
Factor 483*t**2/8 + 85741*t/4 + 6035/8.
(t + 355)*(483*t + 17)/8
Factor 3*v**3/4 + 201*v**2 - 2554860*v + 1604828400.
3*(v - 980)**2*(v + 2228)/4
Factor -q**2/2 - 3079891*q - 9485728571881/2.
-(q + 3079891)**2/2
Suppose k**3/4 + 23923*k**2/4 - 117404969*k/4 + 131901918645/4 = 0. What is k?
-28245, 2161
Suppose 2*p**4 - 656*p**3 - 2092038*p**2 - 20870180*p - 52133200 = 0. Calculate p.
-866, -5, 1204
Let 10*a**4/9 - 984526*a**3/9 - 4332052*a**2/9 - 5513576*a/9 - 525104/3 = 0. What is a?
-2, -2/5, 98457
Determine d so that -d**2/3 - 108560152*d/3 - 2946326650565776/3 = 0.
-54280076
Factor d**2 + 50464*d - 25739345.
(d - 505)*(d + 50969)
What is l in -6*l**5/7 + 5694452*l**4/7 + 26574256*l**3/7 - 15185252*l**2/7 - 26574250*l/7 + 9490800/7 = 0?
-5, -1, 1/3, 1, 949080
Factor 2*r**2 - 20396120*r + 52000213881800.
2*(r - 5099030)**2
What is t in -t**5/3 + 568*t**4/3 - 45118*t**3/3 + 28760*t**2 + 43989*t = 0?
-1, 0, 3, 93, 473
Factor -3*x**2 - 2034*x + 891729.
-3*(x - 303)*(x + 981)
Find f such that -2*f**3/3 - 71680*f**2/3 + 23894*f = 0.
-35841, 0, 1
What is w in 2*w**2/9 - 126745306*w/9 - 14082812 = 0?
-1, 63372654
Factor 5*b**3 - 7780*b**2 - 311225*b + 319000.
5*(b - 1595)*(b - 1)*(b + 40)
Solve h**4 + 181870*h**3 - 3092016*h**2 + 11458962*h + 14732847 = 0.
-181887, -1, 9
Solve -y**4/4 + 14109*y**3/4 + 197697*y**2/4 + 353063*y/4 + 42369 = 0 for y.
-12, -1, 14123
Find r such that 2*r**4/11 - 152*r**3/11 - 2858*r**2/11 - 8032*r/11 + 11040/11 = 0.
-12, -5, 1, 92
Factor 127*h**3/3 - 67426*h**2/3 + 134471*h/3 - 67172/3.
(h - 1)**2*(127*h - 67172)/3
Solve 3*o**3 - 25209*o**2 + 42890184*o + 44150428272 = 0 for o.
-709, 4556
Find s, given that -s**2 + 10840*s - 27647175 = 0.
4105, 6735
Factor q**3/2 - 5671*q**2/2 + 9862475*q/2 - 4827993125/2.
(q - 2425)**2*(q - 821)/2
Determine w, given that -w**4 - 54*w**3 + 877*w**2 + 10890*w + 23400 = 0.
-65, -6, -3, 20
Suppose n**2/6 - 5434783*n/6 + 8152161 = 0. Calculate n.
9, 5434774
Factor -2*w**2 + 8598772*w - 9242359988498.
-2*(w - 2149693)**2
Solve -4*b**3/9 + 1636*b**2/3 - 134608*b - 1216384/9 = 0 for b.
-1, 344, 884
Determine n so that -n**5/3 - 757*n**4/3 - 8344*n**3 + 171508*n**2/3 - 236816*n/3 = 0.
-722, -41, 0, 2, 4
Suppose r**3 + 60021*r**2 - 420186*r + 600280 = 0. Calculate r.
-60028, 2, 5
Determine f so that -3*f**3/2 - 2517*f**2 - 2027013*f/2 + 2037093 = 0.
-1003, -677, 2
Factor 4*m**3 + 6336*m**2 + 81332*m - 565560.
4*(m - 5)*(m + 18)*(m + 1571)
Factor 4*m**4/5 - 1650008*m**3/5 - 9900144*m**2/5 - 19800352*m/5 - 13200256/5.
4*(m - 412508)*(m + 2)**3/5
Factor 5*h**4 - 52748*h**3 + 190639008*h**2 - 290413473616*h + 160215972461104.
(h - 1862)**3*(5*h - 24818)
Factor 2*x**3/21 + 4116554*x**2/7 + 16466208*x/7 + 49398616/21.
2*(x + 2)**2*(x + 6174827)/21
Suppose -2*q**2/5 + 3597792*q/5 - 7195576/5 = 0. Calculate q.
2, 1798894
Factor h**2/2 - 333065739*h + 110932786495616121/2.
(h - 333065739)**2/2
Determine o so that -4*o**3/7 - 2154*o**2 - 4092960*o/7 + 2050250/7 = 0.
-3475, -295, 1/2
Solve 18*i**2 + 7340896*i + 4078270 = 0 for i.
-407827, -5/9
What is o in o**3 - 6683*o**2 + 757066*o - 11467728 = 0?
18, 97, 6568
Factor -20*m**2/7 - 26607418*m/7 + 380106.
-2*(m + 1330371)*(10*m - 1)/7
Find m such that 2*m**2/17 - 13938*m/17 - 321632/17 = 0.
-23, 6992
Factor -3*z**4 + 2872566*z**3 - 687748306311*z**2 + 53631261085428*z - 1045724399234892.
-3*(z - 478722)**2*(z - 39)**2
Find k such that 2*k**2/17 - 2315596*k/17 - 113469006/17 = 0.
-49, 1157847
Factor 5*t**3 - 90875725*t**2 + 181751430*t.
5*t*(t - 18175143)*(t - 2)
Factor -3*m**2/5 - 337521*m/5 + 4050684/5.
-3*(m - 12)*(m + 112519)/5
Factor 64*k**3 - 459384160*k**2 - 229692092*k - 28711512.
4*(k - 7177878)*(4*k + 1)**2
Find h, given that h**4/5 + 230486*h**3/5 + 460968*h**2/5 = 0.
-230484, -2, 0
Let a**4/3 - 562847*a**3/3 + 562845*a**2 - 1688533*a/3 + 562844/3 = 0. What is a?
1, 562844
Factor -4*n**2 + 1205136*n - 18076140.
-4*(n - 301269)*(n - 15)
Suppose 2*y**4 + 48580*y**3 - 194342*y**2 + 242936*y - 97176 = 0. Calculate y.
-24294, 1, 2
Suppose 4*y**2 - 16310356*y = 0