8
Solve f**5/6 + 3381*f**4/2 + 25755587*f**3/6 + 179903869*f**2/6 + 47096924*f + 64211560/3 = 0 for f.
-5068, -5, -1
Determine d so that -d**3/2 + 649*d**2/2 + 7945*d/2 - 8593/2 = 0.
-13, 1, 661
Find u such that -5*u**5 - 37095*u**4 - 68783395*u**3 + 68857595*u**2 + 68783400*u - 68820500 = 0.
-3710, -1, 1
Determine f, given that 2*f**5 + 48*f**4 - 52*f**3 - 48*f**2 + 50*f = 0.
-25, -1, 0, 1
Let -4*b**2 + 7004*b - 117912 = 0. What is b?
17, 1734
What is i in 1155*i**4 + 173380*i**3 + 6516290*i**2 + 718500*i - 478125 = 0?
-75, -1/3, 17/77
Factor p**2/5 + 36353*p/5 - 36354/5.
(p - 1)*(p + 36354)/5
Determine d, given that -4*d**2 + 296*d + 4928 = 0.
-14, 88
Let -d**2 + 1495630*d - 559227274225 = 0. What is d?
747815
Find x, given that 3*x**5 - 792*x**4 + 777*x**3 + 3168*x**2 - 3156*x = 0.
-2, 0, 1, 2, 263
Suppose 4*t**4/3 - 340*t**2/3 + 480*t - 528 = 0. What is t?
-11, 2, 3, 6
Factor -2*g**3/9 - 208*g**2/3 - 6528*g - 1479680/9.
-2*(g + 40)*(g + 136)**2/9
Factor -q**2/2 - 14029*q/2.
-q*(q + 14029)/2
Factor -2*c**5/7 + 1770*c**4/7 - 388944*c**3/7 - 1182816*c**2/7.
-2*c**2*(c - 444)**2*(c + 3)/7
Suppose -3*z**2/5 - 492*z - 84672/5 = 0. Calculate z.
-784, -36
Factor 2*k**2/9 + 3626300*k/9 + 1643756461250/9.
2*(k + 906575)**2/9
Solve -920*y**5 + 28508*y**4 - 15536*y**3 - 27292*y**2 + 16456*y - 1216 = 0.
-1, 2/23, 1/2, 1, 152/5
Find y such that 3*y**2/2 - 517605*y + 89304978675/2 = 0.
172535
Determine h, given that 18*h**2 + 68926*h + 15316 = 0.
-3829, -2/9
Solve 242*h**2 + 3873*h + 16 = 0 for h.
-16, -1/242
Factor 2*d**5/5 - 14756*d**4/5 + 44256*d**3/5 - 44252*d**2/5 + 2950*d.
2*d*(d - 7375)*(d - 1)**3/5
Solve -h**4/4 + 67*h**3/4 - 371*h**2/4 + 293*h/4 + 183 = 0 for h.
-1, 3, 4, 61
Suppose -4*l**4 + 24806*l**3 + 12420*l**2 - 99224*l - 49616 = 0. Calculate l.
-2, -1/2, 2, 6202
Solve -d**3 - 396*d**2 + 5317*d = 0.
-409, 0, 13
Let -38*i**2 - 490*i - 1500 = 0. What is i?
-150/19, -5
Suppose -2*p**5/9 - 20*p**4 + 126*p**3 - 1720*p**2/9 + 256*p/3 = 0. Calculate p.
-96, 0, 1, 4
Factor -3*s**3/5 + 1014*s**2/5 - 7956*s/5 + 2376.
-3*(s - 330)*(s - 6)*(s - 2)/5
Let 3*l**3/7 - 8619*l**2/7 - 243603*l/7 - 234981/7 = 0. Calculate l.
-27, -1, 2901
Solve -5*u**4/6 + 95*u**3/3 - 515*u**2/2 + 2080*u/3 - 1400/3 = 0.
1, 4, 5, 28
Solve -y**3/2 - 131*y**2/2 + 269*y/2 + 399/2 = 0.
-133, -1, 3
Factor -8*k**2 - 2458*k.
-2*k*(4*k + 1229)
Factor 2*c**2/9 - 982*c/3 + 2944/9.
2*(c - 1472)*(c - 1)/9
Let 5*s**2 - 1257500*s + 79065312500 = 0. Calculate s.
125750
Factor -a**2 - 352*a + 3620.
-(a - 10)*(a + 362)
Determine g so that 2*g**3 - 66*g**2 + 612*g - 1520 = 0.
4, 10, 19
Find y, given that -4*y**3 - 1820*y**2 - 206584*y = 0.
-238, -217, 0
Solve 50*c**4/11 - 18560*c**3/11 - 1849522*c**2/11 - 1470696*c/11 - 293544/11 = 0 for c.
-81, -2/5, 453
Find u, given that -u**3/5 - 3656*u**2/5 + 3659*u/5 + 7314/5 = 0.
-3657, -1, 2
Solve 10*r**3 - 1055*r**2 + 22085*r - 10780 = 0.
1/2, 28, 77
Factor 2*v**4 - 18252*v**2 - 949104*v - 13880646.
2*(v - 117)*(v + 39)**3
Factor 4*x**4 + 15416*x**3 - 92604*x**2 + 138960*x.
4*x*(x - 3)**2*(x + 3860)
Find q, given that -q**5/3 - 11*q**4/3 - 35*q**3/3 - 13*q**2/3 + 20*q = 0.
-5, -4, -3, 0, 1
Let -3*l**3/5 - 3204*l**2/5 - 206739*l - 17903430 = 0. What is l?
-465, -138
Factor f**3/2 + 201*f**2/2 + 9999*f/2 - 10201/2.
(f - 1)*(f + 101)**2/2
Let -4*q**5 - 11850*q**4 + 29642*q**3 - 23718*q**2 + 5930*q = 0. What is q?
-2965, 0, 1/2, 1
Determine k, given that -4*k**3 - 203148*k**2 + 406308*k - 203156 = 0.
-50789, 1
Let -2*n**3/23 + 8*n**2/23 - 6*n/23 = 0. Calculate n.
0, 1, 3
Let z**4/3 + 40*z**3/3 - 433*z**2/3 + 392*z/3 = 0. Calculate z.
-49, 0, 1, 8
Determine w so that 25*w**2 + 119715*w - 287460 = 0.
-4791, 12/5
Let 353*c**5/5 + 7417*c**4/5 - 269*c**3/5 - 7417*c**2/5 - 84*c/5 = 0. Calculate c.
-21, -1, -4/353, 0, 1
What is m in -4*m**2/5 - 55172*m/5 - 33096 = 0?
-13790, -3
Factor -2*m**2/3 - 1604*m + 19280/3.
-2*(m - 4)*(m + 2410)/3
What is g in -2*g**5/7 - 52322*g**4/7 + 37386*g**3 + 1099018*g**2/7 + 1203652*g/7 + 59808 = 0?
-26166, -1, 8
Determine q, given that q**3 + 19336*q**2 = 0.
-19336, 0
Let 3*q**2/5 - 31572*q/5 + 31569/5 = 0. What is q?
1, 10523
Suppose -3*q**4 + 1093*q**3 + 5159*q**2 + 2587*q - 1476 = 0. What is q?
-4, -1, 1/3, 369
Find u such that -5*u**4 + 1050*u**3 + 7685*u**2 - 19530*u = 0.
-9, 0, 2, 217
Suppose -29*p**2/2 + 3717*p/2 - 5445 = 0. What is p?
3, 3630/29
Factor 5*c**3 + 13620*c**2 - 20*c - 54480.
5*(c - 2)*(c + 2)*(c + 2724)
Factor -67292*q**3 - 1614996*q**2 - 9689760*q + 1728.
-4*(q + 12)**2*(16823*q - 3)
Factor b**2/4 + 1403*b + 1968409.
(b + 2806)**2/4
Factor d**3/4 + 22*d**2 + 403*d.
d*(d + 26)*(d + 62)/4
Solve -p**3/2 - 23*p**2/2 + 332*p - 320 = 0.
-40, 1, 16
Factor -3*i**4 + 14445*i**3 - 14442*i**2.
-3*i**2*(i - 4814)*(i - 1)
Factor -2*u**3/7 + 538*u**2/7 - 1068*u/7.
-2*u*(u - 267)*(u - 2)/7
Find g such that -4*g**4 - 5036*g**3 - 10060*g**2 - 5028*g = 0.
-1257, -1, 0
Factor 2*l**3 + 11288*l**2 + 33850*l + 22564.
2*(l + 1)*(l + 2)*(l + 5641)
Let -2*i**2/11 - 614*i/11 + 8320/11 = 0. What is i?
-320, 13
Suppose f**5/6 + 22*f**4/3 + 31*f**3/6 - 256*f**2/3 + 94*f/3 + 344/3 = 0. Calculate f.
-43, -4, -1, 2
Let -5*i**2/2 - 1852785*i - 686562451245/2 = 0. What is i?
-370557
Solve -4*s**2 + 8348*s = 0.
0, 2087
Suppose -2*x**2/3 - 1393072*x - 727743598944 = 0. Calculate x.
-1044804
Factor 5*k**2 - 243710*k + 731085.
5*(k - 48739)*(k - 3)
Factor 257435*y**3 - 514880*y**2 + 257455*y - 10.
5*(y - 1)**2*(51487*y - 2)
Suppose -f**2 + 673636*f = 0. What is f?
0, 673636
Let -u**2/7 - 1712*u/7 - 732736/7 = 0. What is u?
-856
Determine y so that 2*y**2 + 4546*y + 4544 = 0.
-2272, -1
Find u such that 3*u**3 - 12333*u**2 - 61728*u - 49392 = 0.
-4, -1, 4116
Let i**3/5 + 4399*i**2/5 + 4398*i/5 = 0. Calculate i.
-4398, -1, 0
Let p**5 - 109*p**4 + 4207*p**3 - 66743*p**2 + 346256*p + 417316 = 0. What is p?
-1, 17, 38
Solve -448*q**4 + 8068*q**3 - 32328*q**2 + 288*q = 0 for q.
0, 1/112, 6, 12
Factor j**3/3 + 167*j**2 + 1484*j/3 - 1660.
(j - 2)*(j + 5)*(j + 498)/3
Factor -2*j**4 - 266*j**3.
-2*j**3*(j + 133)
Find o, given that 5*o**3 + 1185*o**2 + 24490*o - 25680 = 0.
-214, -24, 1
Determine h, given that 2*h**2/3 - 758*h/3 + 752 = 0.
3, 376
Find i, given that i**4/8 - 31*i**3/4 + 121*i**2/8 - 15*i/2 = 0.
0, 1, 60
Determine s, given that -12*s**5 + 164*s**4 + 1384*s**3 - 7376*s**2 - 13024*s + 11520 = 0.
-8, -2, 2/3, 5, 18
Let -11664*n**5 + 34884*n**4 - 138673*n**3/4 + 45363*n**2/4 + 429*n/4 + 1/4 = 0. Calculate n.
-1/216, 1
Find c, given that -4*c**5 + 4192*c**4 - 301560*c**3 + 5913232*c**2 - 10938532*c + 5322672 = 0.
1, 37, 972
Suppose 12*r**4 + 200*r**3 + 724*r**2 + 600*r - 288 = 0. Calculate r.
-12, -3, -2, 1/3
Factor -u**2 - 1607*u - 12792.
-(u + 8)*(u + 1599)
Factor -261*x**2/4 + 1267*x/2 + 144.
-(9*x + 2)*(29*x - 288)/4
Factor q**4/9 - 52*q**3/3 - 635*q**2/9 - 266*q/3 - 320/9.
(q - 160)*(q + 1)**2*(q + 2)/9
Let 4*v**5 + 136536*v**4 - 2458624*v**3 + 10928712*v**2 + 2458620*v - 11065248 = 0. Calculate v.
-34152, -1, 1, 9
What is z in 34*z**5 - 1330*z**4 + 2604*z**3 + 47448*z**2 - 137808*z + 15552 = 0?
-6, 2/17, 3, 6, 36
Factor -2*m**4/9 + 58760*m**3/3 - 431709704*m**2 + 5178401280*m - 15533088768.
-2*(m - 44064)**2*(m - 6)**2/9
Factor -60*f**2 - 1753432*f + 233792.
-4*(f + 29224)*(15*f - 2)
Determine g, given that -70*g**5/13 + 1604*g**4/13 + 1822*g**3/13 + 4*g**2 - 96*g/13 = 0.
-1, -2/7, 0, 1/5, 24
Factor a**4 - 65423*a**3 - 196275*a**2 - 196277*a - 65426.
(a - 65426)*(a + 1)**3
Solve m**3/6 - 13675*m**2/6 + 23372284*m/3 + 23379122/3 = 0.
-1, 6838
Factor 2*j**2 + 22*j - 9052.
2*(j - 62)*(j + 73)
What is d in 7*d**5/6 - 383*d**4 - 3137*d**3/3 - 2482*d**2/3 - 111*d/2 + 331/3 = 0?
-1, 2/7, 331
Factor -6424*h**2 + 186298*h - 58.
-2*(h - 29)*(3212*h - 1)
Factor -7*b**4 - 1021*b**3 - 37157*b**2 + 5329*b.
-b*(b + 73)**2*(7*b - 1)
Factor 141*o**3/4 - 4087*o**2/4 + 1889*o + 27.
(o - 27)*(o - 2)*(141*o + 2)/4
Solve 4*w**2 - 191304*w + 2287326276 = 0 for w.
23913
Factor 163*g**2/7 + 650*g/7 - 8/7.
(g + 4)*(163*g - 2)/7
Factor 5*l**3 - 625*l**2 - 2685*l + 13545.
5*(l - 129)*(l - 3)*(l + 7)
Let 3*q**4 - 93*q**3 + 747*q**2 - 1227*q + 570 = 0. What is q?
1, 10, 19
Factor 2*l**2/3 - 7126*l/3 + 4748.
2*(l - 3561)*(l - 2)/3
Factor 78290*w**2 + 156572*w - 16.
2*(