**4 - 36513*m**3 - 34500*m**2 - 2016*m = 0. What is m?
-8, -1, -84/1343, 0
Factor -3*v**3 - 14700*v**2 + 9041001*v - 1313299422.
-3*(v - 283)**2*(v + 5466)
Factor 3*m**2/2 - 1611897*m/2 - 805950.
3*(m - 537300)*(m + 1)/2
Factor 3*p**3 + 16479*p**2 - 231255*p + 214773.
3*(p - 13)*(p - 1)*(p + 5507)
Factor 2*i**3 + 2082*i**2 - 106920*i - 109000.
2*(i - 50)*(i + 1)*(i + 1090)
Find r such that -121*r**5/9 - 946*r**4 + 105371*r**3 + 4279160*r**2/9 + 487268*r/3 + 14448 = 0.
-129, -4, -2/11, 63
Factor -2*r**2/3 + 7540*r/3 + 1410624.
-2*(r - 4266)*(r + 496)/3
Solve u**3 + 9267482*u**2 + 21471490782560*u - 300602687385056 = 0.
-4633748, 14
Let -5*k**2 + 229882240*k - 2642292213370880 = 0. Calculate k.
22988224
Determine r, given that -4*r**4 - 60276*r**3 + 482596*r**2 + 1990164*r = 0.
-15077, -3, 0, 11
Suppose 4*w**2/5 + 29512*w + 442500 = 0. Calculate w.
-36875, -15
Factor 5*c**3 + 153405*c**2 + 121849200*c.
5*c*(c + 816)*(c + 29865)
Suppose -3*m**5 + 9408*m**4 + 37671*m**3 + 28272*m**2 - 37668*m - 37680 = 0. Calculate m.
-2, -1, 1, 3140
Factor 131*t**2/2 + 481*t/4.
t*(262*t + 481)/4
Determine p, given that 4*p**3/5 - 23828*p**2/5 + 119056*p/5 - 95232/5 = 0.
1, 4, 5952
Find z, given that 1617*z**5 + 11503*z**4 - 1785517*z**3 + 18956373*z**2 + 2202316*z - 236980 = 0.
-41, -2/11, 10/147, 17
Solve 2*x**3 - 19782*x**2 - 1978020*x = 0 for x.
-99, 0, 9990
Factor 5*p**2 - 20826870*p + 21687925699845.
5*(p - 2082687)**2
Let 12*h**5 - 695853*h**4 + 1913520*h**3 - 869769*h**2 - 347910*h = 0. What is h?
-1/4, 0, 1, 2, 57985
Let -5*o**5/4 - 10641*o**4/2 - 947745*o**3/4 - 189058*o**2 + 1916847*o + 2779524 = 0. Calculate o.
-21057/5, -44, -2, 3
Factor -3*v**3 - 4934217*v**2 - 2028872316480*v + 2028877250700.
-3*(v - 1)*(v + 822370)**2
Let -2*m**2/3 + 313216856*m/3 - 12263099860315592/3 = 0. What is m?
78304214
Let -3*j**2 - 233292*j + 1166535 = 0. What is j?
-77769, 5
Determine s so that 384*s**5 - 414480*s**4 - 6362037*s**3/2 - 1866660*s**2 - 570675*s/2 = 0.
-7, -5/16, 0, 1087
Factor -4*v**3 - 1005908*v**2 - 63239172640*v + 189726571200.
-4*(v - 3)*(v + 125740)**2
Solve -n**3/2 + 3461*n**2/2 + 813070*n - 814800 = 0 for n.
-420, 1, 3880
Suppose -1985*m**2/2 + 501214*m - 1515/2 = 0. Calculate m.
3/1985, 505
Solve 4*d**3/5 + 393296*d**2/5 + 393293*d/5 + 98323/5 = 0.
-98323, -1/2
Solve -2*u**4/13 + 92*u**3 + 11284998*u**2/13 - 263667400*u - 16427338805000/13 = 0 for u.
-1550, 1849
Suppose -b**5/3 + 293*b**4 + 7987*b**3/3 + 1507*b**2 - 23934*b - 37296 = 0. Calculate b.
-7, -3, -2, 3, 888
Factor 4*l**5 + 35360*l**4 + 96012000*l**3 + 52390800000*l**2 - 76264335000000*l.
4*l*(l - 610)*(l + 3150)**3
Suppose -w**4/5 + 8231*w**3/5 + 639794*w**2/5 - 648024*w/5 = 0. Calculate w.
-78, 0, 1, 8308
Find g such that 3815500*g**2 + 1059720*g + 864 = 0.
-18/65, -12/14675
Suppose -8*l**3 + 22132*l**2 - 13530304*l + 6759620 = 0. What is l?
1/2, 911, 1855
Factor 2*j**2/3 - 20502868*j/3.
2*j*(j - 10251434)/3
Find n such that -2*n**3/7 + 2736*n**2/7 + 2055768*n/7 + 317368480/7 = 0.
-286, 1940
Factor -3*j**3/7 + 70998*j**2 - 1987692*j + 13913256.
-3*(j - 165634)*(j - 14)**2/7
Suppose 4*w**2 - 5777272*w + 5777268 = 0. What is w?
1, 1444317
Suppose k**3 - 1475*k**2 - 2900393*k + 4320896667 = 0. Calculate k.
-1707, 1591
Find c, given that 5*c**2 + 32910*c + 6782985 = 0.
-6369, -213
Let -162*z**4 + 13659984*z**3 - 39461144*z**2 + 26981824*z - 5396352 = 0. Calculate z.
4/9, 2, 84318
Factor 5*i**2/2 + 84135*i + 6882260.
5*(i + 82)*(i + 33572)/2
Factor 2*l**3 - 4950*l**2 + 1709904*l + 1830824456.
2*(l - 1454)**2*(l + 433)
Factor 4*h**2 + 217292*h + 1520848.
4*(h + 7)*(h + 54316)
Factor 2*o**3/19 + 309970*o**2/19 + 12010020126*o/19 - 12010330098/19.
2*(o - 1)*(o + 77493)**2/19
Factor 3*q**5/2 - 18449001*q**4 + 75636808421778*q**3 - 103364707719273388428*q**2.
3*q**2*(q - 4099778)**3/2
Factor -3*r**5 - 718488*r**4 - 57383459046*r**3 - 1530354190726224*r**2 - 160055368765290495*r.
-3*r*(r + 105)*(r + 79797)**3
Factor -2*s**2/7 - 850342*s/7 + 850344/7.
-2*(s - 1)*(s + 425172)/7
Factor b**3/4 - 25949*b**2 + 8920909*b/4 - 95879895/2.
(b - 103710)*(b - 43)**2/4
Let 60*f**3 + 3360256*f**2 + 47047616304*f + 12545792064 = 0. Calculate f.
-28002, -4/15
Factor -2*f**3 - 2197572*f**2 + 4395150*f - 2197576.
-2*(f - 1)**2*(f + 1098788)
Factor 10970*q**2 - 7543*q/3 - 233.
(10*q - 3)*(3291*q + 233)/3
Solve 5*k**2 - 38220*k - 920160 = 0 for k.
-24, 7668
Find x, given that 7*x**2/4 - 83590629*x - 23883037 = 0.
-2/7, 47766074
Find h such that -2*h**4/5 - 2572*h**3/5 - 516146*h**2/5 + 199813536*h/5 - 12070850688/5 = 0.
-747, 104
Suppose -m**5/3 + 439*m**4/3 + 4953*m**3 + 100201*m**2/3 + 57830*m/3 - 57776 = 0. Calculate m.
-23, -8, -2, 1, 471
Factor 15*q**3 - 34202*q**2/5 - 67788*q/5 + 1832/5.
(q - 458)*(q + 2)*(75*q - 2)/5
Factor -4*o**2 + 82959608*o - 430143534969604.
-4*(o - 10369951)**2
Solve 3*g**3 - 39813*g**2 + 139601592*g - 49115695140 = 0 for g.
395, 6438
Solve -16*h**3/3 + 53108*h**2/9 + 211754*h/3 - 11928 = 0 for h.
-12, 1/6, 4473/4
Find p such that -750*p**5/17 - 4671800*p**4 - 90008960*p**3/17 + 9530748*p**2/17 + 40027662*p/17 + 672732 = 0.
-105893, -3/5, 2/3
Factor -3*n**3 - 59528370*n**2 - 295302236238075*n.
-3*n*(n + 9921395)**2
Suppose -5*c**2 - 5188500*c - 1346026612500 = 0. Calculate c.
-518850
Solve -t**3 - 112335*t**2/2 - 6529883*t + 6557967/2 = 0.
-56051, -117, 1/2
What is j in 8*j**5/5 - 113566*j**4/5 - 2074728*j**3/5 - 7333856*j**2/5 - 1614688*j - 1591968/5 = 0?
-14, -2, -1/4, 14214
Factor d**3/9 - 224*d**2/9 + 3485*d/3 + 19552.
(d - 141)*(d - 96)*(d + 13)/9
Factor -3*t**2 + 431069013*t - 431069010.
-3*(t - 143689670)*(t - 1)
Factor -t**2/7 + 23605*t/7 - 70752.
-(t - 23584)*(t - 21)/7
Solve d**3/3 + 32897*d**2/3 + 90474272*d + 4764383484 = 0.
-16422, -53
Factor -5*g**3 + 269*g**2 + 54*g.
-g*(g - 54)*(5*g + 1)
Find y, given that 2*y**3/9 + 405904*y**2/9 - 135302*y/3 = 0.
-202953, 0, 1
Solve -2*t**3/23 + 92158*t**2/23 + 737410*t/23 - 829566/23 = 0.
-9, 1, 46087
Factor 16*n**2 - 130387588*n + 32596896.
4*(n - 8149224)*(4*n - 1)
Factor -2*j**3/7 - 321840*j**2/7 + 321842*j/7.
-2*j*(j - 1)*(j + 160921)/7
Let -3*x**2/5 + 509259*x/5 + 12230856 = 0. Calculate x.
-120, 169873
Factor -4*v**2 + 3440*v + 1694000.
-4*(v - 1210)*(v + 350)
Factor 4*n**3 - 2612*n**2 + 167612*n - 165004.
4*(n - 581)*(n - 71)*(n - 1)
Suppose -k**5/4 - 843*k**4 + 13567*k**3/4 + 106417*k**2/2 + 123246*k + 74272 = 0. What is k?
-3376, -4, -2, -1, 11
Find f, given that -2*f**2/5 + 20068*f/5 + 21803494/5 = 0.
-989, 11023
Let -2*w**4 - 5330*w**3 + 6016*w**2 + 1823544*w = 0. Calculate w.
-2666, -18, 0, 19
Factor 6*z**2 + 394097607*z + 197048802.
3*(z + 65682934)*(2*z + 1)
Let 2*q**4 - 121096*q**3 + 847604*q**2 - 1816248*q + 1089738 = 0. Calculate q.
1, 3, 60541
Factor -4*c**2 + 48710968*c - 148297400218564.
-4*(c - 6088871)**2
What is m in -m**2/5 + 653864*m/5 - 653863/5 = 0?
1, 653863
Factor -2051*m**2/4 + 1501333*m/2 - 732.
-(m - 1464)*(2051*m - 2)/4
Suppose i**5/2 - 2120*i**4 - 12759*i**3/2 + 63581*i**2 + 271504*i + 203664 = 0. What is i?
-4, -1, 6, 4243
What is s in 2*s**4/9 + 868*s**3/9 - 23594*s**2/3 - 76768*s - 156936 = 0?
-503, -6, -3, 78
Determine r, given that 147*r**4 + 2542134*r**3 - 34526361*r**2 + 19106772*r - 2699892 = 0.
-17307, 2/7, 13
What is a in 2*a**5/3 + 44*a**4 - 322*a**3/3 - 21116*a**2 + 530816*a/3 = 0?
-58, -32, 0, 11, 13
Factor 3*d**3 + 6640533*d**2 + 3674733171120*d + 11024139748644.
3*(d + 3)*(d + 1106754)**2
Solve -2*g**4/7 - 40588*g**3/7 + 4237376*g**2/7 - 15758912*g = 0 for g.
-20398, 0, 52
Determine y, given that -2*y**2/7 + 184482*y/7 + 1660500/7 = 0.
-9, 92250
Factor -b**3/7 + 61669*b**2/7 - 52853*b - 61663.
-(b - 61663)*(b - 7)*(b + 1)/7
Find b, given that b**2/3 - 4168924*b/3 + 4344981829444/3 = 0.
2084462
Factor -39*j**2 + 2568*j + 2004300.
-3*(j - 262)*(13*j + 2550)
Find a, given that -2*a**2/9 + 204242*a/9 - 408476/9 = 0.
2, 102119
Solve j**3/3 + 103230671*j**2 + 7992428627948016*j + 23977285574152036/3 = 0 for j.
-154846006, -1
Factor q**3/2 + 8318*q**2 - 11977331*q/2 + 1055649267.
(q - 349)**2*(q + 17334)/2
Find u such that 2*u**3/3 + 61568*u**2/15 + 110798*u/15 + 9848/3 = 0.
-6155, -1, -4/5
Factor -2*z**3/7 + 4782652*z**2 - 140101747459192*z/7 - 280203628832656/7.
-2*(z - 8369642)**2*(z + 2