lculate c.
769446
Find m, given that -m**2 + 404351*m - 404350 = 0.
1, 404350
Factor 2*w**2/9 + 5422*w/9 + 5416/3.
2*(w + 3)*(w + 2708)/9
Factor -k**2 - 245*k - 244.
-(k + 1)*(k + 244)
Solve 5*o**2 + 320020*o + 5120640020 = 0 for o.
-32002
Factor -v**3/2 + 331*v**2/2 - 36455*v/2 + 1335725/2.
-(v - 115)**2*(v - 101)/2
Factor t**3 + 326378*t**2 + 26630649721*t.
t*(t + 163189)**2
Factor -t**3/5 - 6497*t**2 - 263835048*t/5 - 263802564/5.
-(t + 1)*(t + 16242)**2/5
Determine k so that 28629*k**2 - 9381*k - 54 = 0.
-18/3181, 1/3
Factor 3*b**4/5 + 138*b**3/5 - 153*b**2.
3*b**2*(b - 5)*(b + 51)/5
Factor 4*y**4 + 3160*y**3 + 9444*y**2.
4*y**2*(y + 3)*(y + 787)
Suppose 2*s**4 + 3222*s**3 - 65286*s**2 - 74942*s + 137004 = 0. Calculate s.
-1631, -2, 1, 21
Factor -g**2/2 - 6920*g - 23943200.
-(g + 6920)**2/2
Determine q, given that -245*q**2 - 28085*q - 150420 = 0.
-109, -276/49
Factor -z**3/6 + 24*z**2 + 1782*z.
-z*(z - 198)*(z + 54)/6
Factor -2*f**2 + 66*f - 324.
-2*(f - 27)*(f - 6)
Factor -2*h**2/3 + 23636*h/3 - 69832562/3.
-2*(h - 5909)**2/3
Solve w**3/11 + 37*w**2/11 + 36*w/11 = 0 for w.
-36, -1, 0
Find o such that -738*o**2/25 - 2186*o/25 - 1448/25 = 0.
-724/369, -1
Factor 2*a**2 + 466*a + 20532.
2*(a + 59)*(a + 174)
Factor -5*n**4 + 465*n**3 - 9000*n**2 + 49680*n.
-5*n*(n - 69)*(n - 12)**2
Find s, given that 2*s**3/3 + 914*s**2/3 + 35850*s + 236250 = 0.
-225, -7
Suppose -4*s**4 - 680*s**3 + 4956*s**2 = 0. Calculate s.
-177, 0, 7
Factor -2*h**2/11 - 589834*h/11 + 589836/11.
-2*(h - 1)*(h + 294918)/11
Find x, given that 2*x**2/5 - 1680*x - 219752/5 = 0.
-26, 4226
Find t such that t**3 - 469*t**2 + 1400*t - 932 = 0.
1, 2, 466
Factor -5*g**3 - 25*g**2 + 1870*g.
-5*g*(g - 17)*(g + 22)
Solve 3*s**2/2 + 82218*s + 1126633254 = 0 for s.
-27406
Suppose 4*v**2 - 3435296*v - 3435300 = 0. Calculate v.
-1, 858825
Determine d so that -4*d**2 - 8264*d - 82240 = 0.
-2056, -10
Determine u so that -2*u**3/3 - 78*u**2 + 30240*u + 4120704 = 0.
-168, 219
Solve 2*q**5 + 54*q**4 - 50*q**3 - 6566*q**2 - 25824*q + 32384 = 0 for q.
-23, -8, 1, 11
What is f in 4*f**3 - 18724*f**2 - 4*f + 18724 = 0?
-1, 1, 4681
Let k**2 + 196082*k + 9612037681 = 0. Calculate k.
-98041
Suppose 2*n**3/7 - 880*n**2/7 + 86666*n/7 + 176868/7 = 0. Calculate n.
-2, 153, 289
Solve -h**4/4 + 753*h**3/2 - 630729*h**2/4 + 11995290*h - 253764900 = 0.
45, 708
Factor 3*d**2/8 + 5289*d/2.
3*d*(d + 7052)/8
Factor -2*k**3 - 450*k**2 + 5216*k + 5664.
-2*(k - 12)*(k + 1)*(k + 236)
Suppose b**2/3 + 89854*b/3 + 2018435329/3 = 0. What is b?
-44927
Suppose -4*v**3/21 + 142*v**2/21 - 458*v/7 + 984/7 = 0. Calculate v.
3, 12, 41/2
Factor -4*b**3 - 1944*b**2 + 93460*b + 95400.
-4*(b - 45)*(b + 1)*(b + 530)
Determine o, given that 3*o**2 + 9*o - 54 = 0.
-6, 3
Factor 246*a**2 - 108976*a - 886.
2*(a - 443)*(123*a + 1)
Let -5*f**2/2 + 74615*f/6 = 0. What is f?
0, 14923/3
Find a such that -12*a**2 - 276741*a + 69186 = 0.
-23062, 1/4
What is n in -3*n**5 - 45*n**4 - 189*n**3 - 123*n**2 + 360*n = 0?
-8, -5, -3, 0, 1
Find d such that 3*d**4 + 104598*d**3 - 627660*d**2 + 1255368*d - 836928 = 0.
-34872, 2
Factor 4*n**3/3 - 31204*n**2 - 124832*n - 374512/3.
4*(n - 23407)*(n + 2)**2/3
What is z in z**2/2 - 16895*z + 168925/2 = 0?
5, 33785
Find t such that 5*t**3 + 865*t**2 + 10330*t - 11200 = 0.
-160, -14, 1
What is j in 58*j**2/13 + 14*j = 0?
-91/29, 0
Factor -p**2/8 - 969*p/8.
-p*(p + 969)/8
Determine p, given that 3*p**2/5 - 24498*p/5 + 97944/5 = 0.
4, 8162
Suppose -3*c**2 - 1676508*c + 1676511 = 0. Calculate c.
-558837, 1
Factor 5*d**2 - 11615*d - 46540.
5*(d - 2327)*(d + 4)
Factor -2*x**2/3 + 518*x - 7720/3.
-2*(x - 772)*(x - 5)/3
Factor -5*j**3 - 3065*j**2 + 18650*j + 49520.
-5*(j - 8)*(j + 2)*(j + 619)
Determine s so that 5*s**5 - 132*s**4 + 1017*s**3 - 1946*s**2 + 1344*s - 288 = 0.
2/5, 1, 12
Factor 3*j**3 + 96045*j**2 - 480300*j.
3*j*(j - 5)*(j + 32020)
Factor -4*t**4 + 124*t**3 + 480*t**2 - 2448*t.
-4*t*(t - 34)*(t - 3)*(t + 6)
Find s, given that -507*s**4/8 - 16614*s**3 - 1088856*s**2 = 0.
-1704/13, 0
Determine y, given that 3*y**4 + 255*y**3 - 2478*y**2 + 5604*y - 3384 = 0.
-94, 1, 2, 6
Solve 2*j**3 + 2058*j**2 + 40318*j - 42378 = 0.
-1009, -21, 1
Factor -w**4 + 95*w**3 - 712*w**2 + 1392*w.
-w*(w - 87)*(w - 4)**2
Factor l**5 + 116*l**4 - 1110*l**3 + 1900*l**2 + 3125*l.
l*(l - 5)**2*(l + 1)*(l + 125)
Find n, given that -2*n**5/15 + 4*n**4 - 8*n**3/15 - 976*n**2/5 + 64*n/15 + 3584/5 = 0.
-6, -2, 2, 8, 28
Factor m**3 + 34*m**2 - 415*m + 1100.
(m - 5)**2*(m + 44)
Determine q so that -2*q**2/3 - 296*q/15 - 266/5 = 0.
-133/5, -3
Factor -20*v**4 + 15995*v**3 - 15975*v**2.
-5*v**2*(v - 1)*(4*v - 3195)
Factor -y**3 - 1022*y**2 - 278240*y - 22832224.
-(y + 188)**2*(y + 646)
Determine r, given that 2*r**3 - 448*r**2 + 3870*r = 0.
0, 9, 215
Let m**3 - 96*m**2 - 945*m = 0. Calculate m.
-9, 0, 105
Factor c**5 + 128*c**4 - 1075*c**3 + 1762*c**2 - 816*c.
c*(c - 6)*(c - 1)**2*(c + 136)
What is l in -6*l**5/7 - 74*l**4/7 + 60*l**3/7 + 740*l**2/7 - 54*l/7 - 666/7 = 0?
-37/3, -3, -1, 1, 3
What is o in -82*o**4 + 480*o**3 - 666*o**2 + 220*o + 48 = 0?
-6/41, 1, 4
Solve 10*r**5 - 465*r**4 - 4140*r**3 - 11750*r**2 - 12990*r - 4905 = 0.
-3, -1, 109/2
What is p in -14*p**3/9 + 4036*p**2/9 + 2894*p/9 - 1156/9 = 0?
-1, 2/7, 289
Find p, given that -2*p**4 + 10*p**3 + 294*p**2 - 898*p - 2860 = 0.
-11, -2, 5, 13
Find i, given that -i**4 + 11840*i**3 - 35164536*i**2 + 698987520*i - 1257411600 = 0.
2, 18, 5910
Solve -2*g**5/3 - 176*g**4 + 354*g**3 - 532*g**2/3 = 0.
-266, 0, 1
What is n in 16*n**4 - 1318*n**3 - 10023*n**2/2 + 2023*n - 172 = 0?
-4, 1/8, 1/4, 86
Factor -4*h**3 - 392*h**2 - 1484*h + 1880.
-4*(h - 1)*(h + 5)*(h + 94)
Determine b, given that -3*b**2/2 + 747*b + 42525/2 = 0.
-27, 525
Let -4*h**3 + 15124*h**2 + 45400*h + 30272 = 0. Calculate h.
-2, -1, 3784
Factor 4*u**3 + 1456*u**2 + 7196*u + 5744.
4*(u + 1)*(u + 4)*(u + 359)
Find g such that -g**4 - 523*g**3 - 6610*g**2 + 10284*g + 42840 = 0.
-510, -14, -2, 3
Suppose -60*a**5 + 3081*a**4 + 2172*a**3 - 7323*a**2 - 8538*a - 2184 = 0. Calculate a.
-1, -2/5, 7/4, 52
Determine j, given that -j**3/4 - 5*j**2/4 + 31*j + 65 = 0.
-13, -2, 10
Determine k, given that -25*k**4 + 1830*k**3 + 29751*k**2 + 22916*k + 4524 = 0.
-13, -2/5, 87
Determine y, given that -y**4/4 - 73*y**3 - 2681*y**2 + 11608*y - 11904 = 0.
-248, -48, 2
What is n in -3*n**4/5 - 348*n**3/5 - 594*n**2 - 8748*n/5 - 8667/5 = 0?
-107, -3
Factor -o**4 + 31610*o**3 - 249766413*o**2 - 499627660*o - 249829636.
-(o - 15806)**2*(o + 1)**2
Let -780*a**3 - 3077872*a**2 + 3110228*a - 31576 = 0. What is a?
-3947, 2/195, 1
Find k such that 75*k**3 + 50670*k**2 - 20277*k + 2028 = 0.
-676, 1/5
Factor 4*b**2 + 67102*b + 33550.
2*(b + 16775)*(2*b + 1)
Determine o so that -o**3/3 - 114*o**2 + 14368*o/3 - 9120 = 0.
-380, 2, 36
Factor 5*q**3 + 69260*q**2 - 415715*q + 346450.
5*(q - 5)*(q - 1)*(q + 13858)
Factor -4*d**3 + 80660*d**2 - 406586892*d - 406667556.
-4*(d - 10083)**2*(d + 1)
Factor y**3 - 26446*y**2 - 105796*y - 105800.
(y - 26450)*(y + 2)**2
Solve 2*f**4 + 350*f**3 - 706*f**2 + 354*f = 0 for f.
-177, 0, 1
Factor -p**3/4 - 53*p**2/2 - 931*p - 10830.
-(p + 30)*(p + 38)**2/4
Factor 4*m**3/3 + 94*m**2/3 - 124*m + 54.
2*(m - 3)*(m + 27)*(2*m - 1)/3
Factor -7*z**5/5 + 44*z**4/5 - 15*z**3 + 18*z**2/5.
-z**2*(z - 3)**2*(7*z - 2)/5
Let -40*l**3 + 15222*l**2 + 6856*l + 762 = 0. Calculate l.
-1/4, -1/5, 381
Determine p so that -5*p**2 - 605840*p + 605845 = 0.
-121169, 1
Solve -3*m**4 - 6060*m**3 = 0 for m.
-2020, 0
Factor v**3/2 + 195*v**2/2 - 1656*v + 6752.
(v - 8)**2*(v + 211)/2
Find v such that 5*v**4 + 2020*v**3 + 108775*v**2 + 1411520*v - 5268480 = 0.
-343, -32, 3
Suppose -q**2/2 - 25445*q - 647448025/2 = 0. What is q?
-25445
Factor -3*u**5/7 - 2754*u**4/7 - 90684*u**3 - 1258584*u**2/7.
-3*u**2*(u + 2)*(u + 458)**2/7
Factor 2*u**3 + 680*u**2 - 4152*u.
2*u*(u - 6)*(u + 346)
Find l such that -65*l**5 + 300*l**4 + 35*l**3 - 770*l**2 - 120*l + 320 = 0.
-1, 8/13, 2, 4
Solve -3*r**3/8 + 621*r**2/8 - 2196*r + 16800 = 0 for r.
16, 175
Solve b**2/3 - 10*b/3 - 1271/3 = 0.
-31, 41
Let -3*f**4/4 - 579*f**3/4 - 26445*f**2/4 + 144639*f/4 - 29403 = 0. What is f?
-99, 1, 4
Let -2*b**3/13 + 802*b**2/13 - 8616*b/13 + 1080 = 0. What is b?
2, 9, 390
Factor 2*p**2 + 7