5410*y/3 + 3605/6 = 0. Calculate y.
-1/4, 1/7, 721
Let -4*z**3 + 3016*z**2 = 0. Calculate z.
0, 754
Factor p**3/3 - 19*p**2 - 1600*p/3 - 988.
(p - 78)*(p + 2)*(p + 19)/3
Determine d so that d**4/7 - 68289*d**3/7 + 68288*d**2/7 = 0.
0, 1, 68288
Suppose -4*u**2 - 5900*u + 11816 = 0. Calculate u.
-1477, 2
Factor -w**4/3 - 226*w**3 - 52560*w**2 - 4508334*w - 73524213.
-(w + 21)*(w + 219)**3/3
Determine l, given that 4*l**3 + 60*l**2 + 264*l + 320 = 0.
-8, -5, -2
Suppose 4*d**5 - 276*d**4 - 8704*d**3 + 300480*d**2 - 1958400*d = 0. What is d?
-40, 0, 12, 85
Factor 1148*x**2 - 76*x.
4*x*(287*x - 19)
Determine l so that 3*l**4/2 + 87*l**3 - 1731*l**2/2 + 2577*l - 2412 = 0.
-67, 2, 3, 4
Factor -3*v**2 + 155661*v - 155658.
-3*(v - 51886)*(v - 1)
Suppose -j**5/4 + 531*j**3/4 - 529*j**2/2 + 132*j = 0. Calculate j.
-24, 0, 1, 22
Let 4*l**5 + 13424*l**4 + 11356356*l**3 + 157167864*l**2 + 671100336*l + 804165408 = 0. What is l?
-1671, -6, -2
Find u, given that 3*u**5/2 + 3*u**4/2 - 45*u**3/2 + 69*u**2/2 - 15*u = 0.
-5, 0, 1, 2
Find q such that 3*q**4 - 3675*q**3 + 18321*q**2 - 25629*q + 10980 = 0.
1, 3, 1220
Find v such that -62*v**4/5 - 3718*v**3/5 - 50658*v**2/5 - 45482*v/5 + 304 = 0.
-40, -19, -1, 1/31
Factor g**4/3 - 764*g**3/3 + 134836*g**2/3 + 1411872*g + 10245312.
(g - 396)**2*(g + 14)**2/3
Suppose -u**3/4 + 81*u**2/4 - 20*u = 0. What is u?
0, 1, 80
Factor -4*a**2 - 80224*a - 402243136.
-4*(a + 10028)**2
Determine t so that t**5/4 + 17*t**4/4 - 37*t**3/4 + 19*t**2/4 = 0.
-19, 0, 1
Determine l, given that 13*l**2/3 + 65548*l/3 + 10084/3 = 0.
-5042, -2/13
Suppose m**5/4 - 14*m**4 + 501*m**3/4 - 113*m**2/2 - 505*m + 450 = 0. Calculate m.
-2, 1, 2, 10, 45
What is d in 140*d**5 - 41435*d**4 - 602220*d**3 - 2148055*d**2 - 75950*d = 0?
-7, -1/28, 0, 310
Solve 52*t**3 + 960*t**2 - 3636*t - 18144 = 0.
-21, -3, 72/13
What is c in -2*c**3 - 328*c**2 - 12998*c - 12672 = 0?
-99, -64, -1
Factor 5*u**2 - 23075*u - 23080.
5*(u - 4616)*(u + 1)
What is o in 3*o**2 - 38229*o + 152868 = 0?
4, 12739
Factor 2*m**3 - 786*m**2 - 800*m + 4728.
2*(m - 394)*(m - 2)*(m + 3)
Factor -4*o**2 - 2600*o + 5216.
-4*(o - 2)*(o + 652)
Find v such that 162*v**5 + 927*v**4 + 1577*v**3 + 803*v**2 + 125*v + 6 = 0.
-3, -2, -1/2, -1/9
Determine p, given that -9*p**4 + 78*p**3 - 48*p**2 = 0.
0, 2/3, 8
Let 4*s**3 - 21684*s**2 - 108520*s = 0. Calculate s.
-5, 0, 5426
What is x in 5*x**3 - 4525*x**2 + 79830*x = 0?
0, 18, 887
Solve 64689849*b**3 - 64657677*b**2 - 32168*b - 4 = 0.
-2/8043, 1
Factor -5*p**2 - 239800*p - 2875202000.
-5*(p + 23980)**2
Solve -2*c**2/7 - 129656*c/7 - 2101334792/7 = 0.
-32414
Let 2*l**4/3 + 40*l**3/3 - 8128*l**2/3 + 54560*l - 98400 = 0. What is l?
-82, 2, 30
Factor 2*w**4/11 + 30*w**3/11 + 96*w**2/11 - 128*w/11.
2*w*(w - 1)*(w + 8)**2/11
Factor -2*o**3/3 - 560*o**2/3 + 376*o.
-2*o*(o - 2)*(o + 282)/3
Factor 3*g**3 - 23553*g**2 + 141237*g - 211815.
3*(g - 7845)*(g - 3)**2
Factor 5*t**3 + 665*t**2 - 60145*t + 59475.
5*(t - 61)*(t - 1)*(t + 195)
Suppose -6*v**3/7 + 1011*v**2/7 - 40563*v/7 + 8370 = 0. What is v?
3/2, 62, 105
Solve 2*b**2/9 + 188*b/9 - 4294/9 = 0 for b.
-113, 19
Find a, given that -53*a**5/10 + 73*a**4/2 - 753*a**3/10 + 387*a**2/10 + 27*a/5 = 0.
-6/53, 0, 1, 3
Suppose -2*r**3/7 + 5720*r**2/7 - 11434*r/7 + 5716/7 = 0. Calculate r.
1, 2858
Suppose -m**3/4 + 4399*m**2/2 + 35229*m/4 - 92421/2 = 0. Calculate m.
-7, 3, 8802
Factor -c**3 + 154*c**2 - 4445*c + 4292.
-(c - 116)*(c - 37)*(c - 1)
Suppose 2*a**2/21 - 5844*a/7 - 70160/21 = 0. Calculate a.
-4, 8770
Find f, given that 2*f**4/3 - 520*f**3/3 + 4030*f**2/3 + 520*f/3 - 1344 = 0.
-1, 1, 8, 252
Suppose 5*f**2 + 163030*f + 1328939045 = 0. Calculate f.
-16303
Suppose -2*j**2/3 + 158*j/3 - 3008/3 = 0. Calculate j.
32, 47
Find i, given that -3*i**3/5 + 6073*i**2/5 - 617312*i + 2652260 = 0.
13/3, 1010
Factor 5*t**4 + 13535*t**3 + 107960*t**2.
5*t**2*(t + 8)*(t + 2699)
Suppose 3*g**3 - 76371*g**2 + 486082320*g - 486005952 = 0. Calculate g.
1, 12728
Let 18*x**3 - 719*x**2/4 + 319*x/2 + 9/4 = 0. Calculate x.
-1/72, 1, 9
Determine c so that -8*c**4 - 60*c**3 + 2232*c**2 - 7808*c - 16896 = 0.
-22, -3/2, 8
Factor 5*y**3 + 267*y**2 - 4184*y - 1716.
(y - 13)*(y + 66)*(5*y + 2)
Solve 115*y**3 + 16375*y**2 + 32405*y + 16145 = 0.
-3229/23, -1
Find q, given that 1682*q**5/17 + 14732*q**4/17 + 49948*q**3/17 + 81472*q**2/17 + 63618*q/17 + 19044/17 = 0.
-69/29, -2, -1
Factor 2*v**3/11 - 214*v**2/11 + 5864*v/11 - 20160/11.
2*(v - 63)*(v - 40)*(v - 4)/11
Factor d**2/5 + 532193*d/5.
d*(d + 532193)/5
Factor 2*y**4/5 + 24586*y**3/5 - 147564*y**2/5 + 59032*y - 196784/5.
2*(y - 2)**3*(y + 12299)/5
Let -u**3/2 + 115*u**2/2 + 1566*u + 2898 = 0. Calculate u.
-21, -2, 138
Factor 45*i**4 - 133170*i**3 + 1239980*i**2 - 2891000*i.
5*i*(i - 2950)*(3*i - 14)**2
Factor -2*x**4/5 + 49582*x**3/5 - 81952434*x**2 + 1129167820922*x/5 - 2256696989788/5.
-2*(x - 8263)**3*(x - 2)/5
Determine z, given that z**2/2 - 309*z/2 + 9234 = 0.
81, 228
Solve -n**4 + 18532*n**3 + 18534*n**2 - 18532*n - 18533 = 0.
-1, 1, 18533
Let -2*n**4/7 - 264*n**3/7 - 5770*n**2/7 + 214500*n/7 + 450000/7 = 0. Calculate n.
-75, -2, 20
What is r in 5*r**4 + 459205*r**3 + 1377585*r**2 + 1377575*r + 459190 = 0?
-91838, -1
Factor 46683*w**2 + 46685*w + 2.
(w + 1)*(46683*w + 2)
Determine b, given that 2*b**4/7 + 17082*b**3/7 + 6942606*b**2 + 6565332466*b - 39642456084 = 0.
-2849, 6
Determine q, given that -2*q**3 + 4490*q**2 - 245278*q + 240790 = 0.
1, 55, 2189
Determine h so that -8*h**3 - 840351*h**2 - 22068378828*h + 2758560484 = 0.
-52522, 1/8
Let -198*i**3 + 4753*i**2 - 15864*i + 80 = 0. Calculate i.
1/198, 4, 20
Solve -22*l**4 - 1792*l**3 - 5880*l**2 + 3744*l = 0 for l.
-78, -4, 0, 6/11
Factor -5*v**2 + 812680*v - 33022439120.
-5*(v - 81268)**2
Factor -2*q**2 - 7348*q + 22062.
-2*(q - 3)*(q + 3677)
Factor -y**2/4 + 313*y/4 + 560.
-(y - 320)*(y + 7)/4
Let -3*g**5/5 - 3681*g**4/5 - 1108554*g**3/5 + 12737202*g**2/5 + 28785357*g/5 + 14943279/5 = 0. Calculate g.
-619, -1, 13
Find c such that -8*c**3/5 + 52*c**2 - 1804*c/5 - 968/5 = 0.
-1/2, 11, 22
Factor -4*j**3 - 597100*j**2 + 2388448*j - 2388464.
-4*(j - 2)**2*(j + 149279)
Determine t, given that 36*t**4/5 - 5600*t**3 - 118688*t**2/5 - 27520*t - 25024/5 = 0.
-2, -2/9, 782
Factor 2*t**2/3 - 1610*t - 24200/3.
2*(t - 2420)*(t + 5)/3
Determine s, given that -5*s**4 + 4100*s**3 - 36570*s**2 + 60860*s - 28385 = 0.
1, 7, 811
Suppose -9*z**4/8 + 8511*z**3/4 - 6794565*z**2/8 + 193331817*z/2 + 129644091/2 = 0. What is z?
-2/3, 249, 1394
Factor -5*p**3 - 4250*p**2 - 890240*p + 5495520.
-5*(p - 6)*(p + 428)**2
Let 4*f**5 + 1612*f**4 + 9528*f**3 - 128*f**2 - 50816*f = 0. Calculate f.
-397, -4, 0, 2
Suppose -j**3 - 361*j**2/5 - 3299*j/5 + 7137/5 = 0. What is j?
-61, -13, 9/5
Factor q**4 - 325*q**3 + 4996*q**2 - 16116*q + 14832.
(q - 309)*(q - 12)*(q - 2)**2
Factor q**4 - 23*q**3 - 409*q**2 - 385*q.
q*(q - 35)*(q + 1)*(q + 11)
Let 15*b**4 - 155540*b**3 + 362870*b**2 - 259180*b + 51835 = 0. Calculate b.
1/3, 1, 10367
Factor -a**3/8 + 77*a**2/8 + 224349*a/8 + 35650575/8.
-(a - 575)*(a + 249)**2/8
Suppose 2*d**5 + 5252*d**4 + 10496*d**3 = 0. What is d?
-2624, -2, 0
Factor -y**4/8 - 24*y**3 - 9943*y**2/8 - 8625*y - 7406.
-(y + 1)*(y + 7)*(y + 92)**2/8
Factor b**5/6 + 5*b**4/6 + 7*b**3/6 + b**2/2.
b**2*(b + 1)**2*(b + 3)/6
What is a in -2*a**2/5 - 216*a/5 - 1064 = 0?
-70, -38
Let -7*w**4/2 - 449*w**3/5 + 1257*w**2/10 - 162*w/5 = 0. Calculate w.
-27, 0, 12/35, 1
Suppose -2*o**5/5 + 162*o**4 - 104968*o**3/5 + 742112*o**2 + 16840320*o - 17561600 = 0. What is o?
-16, 1, 140
Let -l**4/7 + 8*l**3/7 + 776*l**2/7 - 3168*l/7 - 156816/7 = 0. What is l?
-18, 22
Factor o**3 + 2162*o**2 - 4327*o + 2164.
(o - 1)**2*(o + 2164)
Suppose 14*i**5 - 2372*i**4 + 1000*i**3 + 2372*i**2 - 1014*i = 0. What is i?
-1, 0, 3/7, 1, 169
Let 6*o**2 - 54290*o - 36196 = 0. Calculate o.
-2/3, 9049
Factor 2*b**2/15 - 9178*b/5.
2*b*(b - 13767)/15
Solve -u**3/6 + 23*u**2/2 + 557*u/3 - 656 = 0 for u.
-16, 3, 82
Factor -2*h**3 + 1306*h**2 - 21684*h + 38160.
-2*(h - 636)*(h - 15)*(h - 2)
Factor -5*t**2 - 142140*t - 1010188980.
-5*(t + 14214)**2
Determine h so that -4*h**2 + 253632*h - 4020574464 = 0.
31704
Determine j, given that 2*j**5/3 - 6958*j**4 - 13918*j**3 - 20878*j**2/3 = 0.
-1, 0, 10