Factor v**5/3 - 52*v**4/3 + 40*v**3 + 486*v**2 - 2259*v + 2646.
(v - 49)*(v - 3)**3*(v + 6)/3
Let 3*c**2/7 + 69*c/7 - 72/7 = 0. Calculate c.
-24, 1
Solve -5*s**4 - 15*s**3 + 20*s**2 = 0 for s.
-4, 0, 1
Factor 2*r**5/11 - 42*r**4/11 + 294*r**3/11 - 686*r**2/11.
2*r**2*(r - 7)**3/11
Solve -3*v**2/2 + 24*v + 54 = 0 for v.
-2, 18
Solve r**4 + 510*r**3 + 65533*r**2 + 129540*r + 64516 = 0.
-254, -1
Solve 3*i**2/5 + 258*i/5 + 984/5 = 0 for i.
-82, -4
Determine t so that 5*t**5 - 20*t**4 + 20*t**3 + 10*t**2 - 25*t + 10 = 0.
-1, 1, 2
Solve 9*w**2/5 - 48*w/5 - 57/5 = 0 for w.
-1, 19/3
Let 4*p**4/7 + 262*p**3/7 + 302*p**2/7 - 155230*p/7 - 11094 = 0. Calculate p.
-43, -1/2, 21
Factor 3*l**3 + 357*l**2 + 1044*l.
3*l*(l + 3)*(l + 116)
Let -100*m**5 - 561580*m**4 - 788935516*m**3 - 1418803780*m**2 - 756497728*m - 126067984 = 0. Calculate m.
-2807, -1, -2/5
Factor -2*f**4 - 235*f**3 - 6844*f**2 + 3481*f.
-f*(f + 59)**2*(2*f - 1)
Factor p**2/4 + 465*p + 1859/4.
(p + 1)*(p + 1859)/4
Factor -3*f**4 + 6*f**3 + 3*f**2 - 6*f.
-3*f*(f - 2)*(f - 1)*(f + 1)
Solve 24*k**5 - 148*k**4 + 192*k**3 + 116*k**2 - 216*k + 32 = 0 for k.
-1, 1/6, 1, 2, 4
Let l**4 + 21*l**3/2 + 67*l**2/2 + 51*l/2 - 45/2 = 0. What is l?
-5, -3, 1/2
Factor 9*o**4 + 6*o**3 - 24*o**2.
3*o**2*(o + 2)*(3*o - 4)
Let -2*t**2 - 22*t + 52 = 0. What is t?
-13, 2
Find b such that -1118*b**2 + 16*b/3 + 8/3 = 0.
-2/43, 2/39
Find q, given that -2*q**2/15 + 404*q/5 - 61206/5 = 0.
303
Let -2*p**3 - 48*p**2 + 318*p + 812 = 0. Calculate p.
-29, -2, 7
Determine v so that v**2/5 - 519*v/5 + 518/5 = 0.
1, 518
Find p, given that -3*p**4/5 + 129*p**3/5 - 591*p**2/5 + 807*p/5 - 342/5 = 0.
1, 3, 38
Let -a**3/3 + 14*a**2/3 - 49*a/3 = 0. What is a?
0, 7
Factor 3*g**4/4 + 22251*g**3/4 + 13754826*g**2 + 11343142800*g + 11329393536.
3*(g + 1)*(g + 2472)**3/4
Suppose -2*x**2 + 274*x = 0. What is x?
0, 137
Factor -2*l**2/11 - 4768*l/11 - 2841728/11.
-2*(l + 1192)**2/11
Factor f**5/2 - 4*f**4 + 2*f**3 + 13*f**2 - 37*f/2 + 7.
(f - 7)*(f - 1)**3*(f + 2)/2
Let m**4/5 + 14*m**3/5 - 12*m**2 - 126*m/5 + 459/5 = 0. What is m?
-17, -3, 3
Factor r**5 - 11*r**4 + 7*r**3 + 35*r**2 - 52*r + 20.
(r - 10)*(r - 1)**3*(r + 2)
Let 2*t**3/15 - 14*t**2/3 - 388*t/15 - 32 = 0. What is t?
-3, -2, 40
Factor -y**2/2 - 87*y - 7569/2.
-(y + 87)**2/2
Factor -4*d**3/5 - 88*d**2 + 4*d/5 + 88.
-4*(d - 1)*(d + 1)*(d + 110)/5
Let -3*s**3/5 - 2316*s**2/5 = 0. Calculate s.
-772, 0
Suppose 4*f**3/13 - 3566*f**2/13 - 5362*f/13 + 3572/13 = 0. Calculate f.
-2, 1/2, 893
Solve 3*c**4/4 - 165*c**3/4 + 1089*c**2/2 + 672*c - 1176 = 0 for c.
-2, 1, 28
Suppose 4*j**4/9 + 22*j**3/9 + 20*j**2/9 - 16*j/9 = 0. Calculate j.
-4, -2, 0, 1/2
Determine w so that 4*w**2 - 76*w - 168 = 0.
-2, 21
Factor 4*j**3 - 324*j**2.
4*j**2*(j - 81)
Factor -2*r**2/3 + 5876*r/3 - 4315922/3.
-2*(r - 1469)**2/3
Factor -5*h**3 + 345*h**2 + 710*h.
-5*h*(h - 71)*(h + 2)
Factor 4*p**2/3 - 4*p.
4*p*(p - 3)/3
Find g such that -g**2/2 + 295*g/2 - 293 = 0.
2, 293
Factor -45*b**4 - 460*b**3 - 1225*b**2 - 250*b.
-5*b*(b + 5)**2*(9*b + 2)
Factor n**5/2 + 7*n**4/2 + 15*n**3/2 + 13*n**2/2 + 2*n.
n*(n + 1)**3*(n + 4)/2
Factor 4*b**2 - 8*b - 320.
4*(b - 10)*(b + 8)
Factor 8*d**2/3 - 66*d - 50/3.
2*(d - 25)*(4*d + 1)/3
Find f such that 2*f**2/13 + 1368*f/13 - 2744/13 = 0.
-686, 2
Let 84621601*t**2/11 + 36796*t/11 + 4/11 = 0. Calculate t.
-2/9199
Suppose y**3/4 + 63*y**2/2 - 255*y/4 + 32 = 0. Calculate y.
-128, 1
Solve i**5/4 + 33*i**4/4 - 35*i**3/2 = 0 for i.
-35, 0, 2
What is x in -3*x**4 - 34*x**3/3 + 296*x**2/3 - 64*x/3 = 0?
-8, 0, 2/9, 4
Solve -2916*q**3 - 60372*q**2 + 18080*q - 1344 = 0 for q.
-21, 4/27
Factor d**4/3 - 7*d**3/3 - 8*d**2/3.
d**2*(d - 8)*(d + 1)/3
Factor -2*x**4/13 - 2*x**3/13.
-2*x**3*(x + 1)/13
Factor 52*w**2 - 1616*w.
4*w*(13*w - 404)
Solve 2*g**5/5 + 14*g**4/5 + 26*g**3/5 + 2*g**2/5 - 28*g/5 - 16/5 = 0.
-4, -2, -1, 1
Factor -w**3/4 - 9*w**2 + 61*w - 84.
-(w - 4)*(w - 2)*(w + 42)/4
Factor 2*q**3 + 154*q**2 - 160*q - 312.
2*(q - 2)*(q + 1)*(q + 78)
Factor -75*h**3 - 65*h**2 + 10*h.
-5*h*(h + 1)*(15*h - 2)
What is o in o**4/5 - 77*o**3 = 0?
0, 385
Suppose -9*w**5/4 - 37*w**4/4 - 10*w**3 - w**2 = 0. Calculate w.
-2, -1/9, 0
Factor 2*p**4 + 12*p**3/5 + 2*p**2/5.
2*p**2*(p + 1)*(5*p + 1)/5
Suppose -3*r**4 + 60*r**3 + 21*r**2 - 402*r - 360 = 0. Calculate r.
-2, -1, 3, 20
Factor -5*x**4 - 55*x**3 - 120*x**2 + 20*x + 160.
-5*(x - 1)*(x + 2)**2*(x + 8)
Suppose 3*y**4/2 - 3*y**3/2 - 57*y**2/2 - 33*y/2 + 45 = 0. What is y?
-3, -2, 1, 5
Find l, given that 20*l**4 - 132*l**3 - 76*l**2 + 132*l + 56 = 0.
-1, -2/5, 1, 7
Factor 6*y**2/11 - 174*y/11 - 372/11.
6*(y - 31)*(y + 2)/11
Suppose 6*n**5/5 - 158*n**4/5 + 336*n**3/5 + 8*n**2/5 - 192*n/5 = 0. Calculate n.
-2/3, 0, 1, 2, 24
Factor -3*t**3/5 + 27*t**2/5 - 9*t + 21/5.
-3*(t - 7)*(t - 1)**2/5
Solve -2*h**5 + 16*h**4 - 30*h**3 - 16*h**2 + 32*h = 0 for h.
-1, 0, 1, 4
Solve -2*x**3/3 - 560*x**2/9 + 518*x + 1616/9 = 0.
-101, -1/3, 8
Determine t so that -t**5/8 - 3*t**4/8 + t**3/2 + 2*t**2 - 2 = 0.
-2, 1, 2
Suppose -6*x**5/7 + 170*x**4/7 - 1052*x**3/7 - 2188*x**2/7 - 510*x/7 + 450/7 = 0. Calculate x.
-1, 1/3, 15
Solve -102*i**5/13 - 760*i**4/13 - 1346*i**3/13 - 488*i**2/13 - 40*i/13 = 0 for i.
-5, -2, -1/3, -2/17, 0
Find s, given that 2*s**3/11 + 26*s**2/11 + 72*s/11 = 0.
-9, -4, 0
Suppose g**4/7 - 51*g**3/7 + 144*g**2/7 + 4*g/7 - 192/7 = 0. Calculate g.
-1, 2, 48
Solve -k**2/2 + 1/2 = 0 for k.
-1, 1
Factor p**2/5 - 38*p/5 + 56.
(p - 28)*(p - 10)/5
Let 2*q**4 + 36*q**3 + 72*q**2 - 260*q + 150 = 0. Calculate q.
-15, -5, 1
Solve 3*x**2 - 135*x - 918 = 0 for x.
-6, 51
Solve 3*a**4 + 12*a**3 - 75*a**2 - 264*a - 180 = 0.
-6, -2, -1, 5
Factor -z**3/4 - 17*z**2 - 65*z - 64.
-(z + 2)**2*(z + 64)/4
Determine g so that -2*g**5/3 + 2*g**3/3 = 0.
-1, 0, 1
Factor -63*b**3 - 75*b**2 + 96*b - 12.
-3*(b + 2)*(3*b - 2)*(7*b - 1)
Solve -27*y**4 - 255*y**3 - 729*y**2 - 681*y - 180 = 0 for y.
-5, -3, -1, -4/9
Suppose 14*x**4 - 200*x**3 + 238*x**2 - 52*x = 0. What is x?
0, 2/7, 1, 13
Determine k so that k**4/2 + 2*k**3 - 11*k**2/2 - 33*k - 36 = 0.
-3, -2, 4
Solve -4*s**5 - 17*s**4 + 8*s**3 + 59*s**2 + 46*s + 8 = 0.
-4, -1, -1/4, 2
Suppose -134*t**3/11 - 150*t**2/11 - 16*t/11 = 0. Calculate t.
-1, -8/67, 0
Factor b**3/2 - b**2/3.
b**2*(3*b - 2)/6
Factor 2*y**2 + 1056*y - 1058.
2*(y - 1)*(y + 529)
Let 9*h**2/2 + 1479*h/4 + 123/2 = 0. What is h?
-82, -1/6
Factor p**3 + 349*p**2 + 30275*p - 30625.
(p - 1)*(p + 175)**2
Factor -k**4/3 - k**3/3 + k**2 + k/3 - 2/3.
-(k - 1)**2*(k + 1)*(k + 2)/3
Find b, given that -5*b**3 - 7980*b**2 - 4245360*b - 752843840 = 0.
-532
Let -3*b**2/5 - 624*b/5 + 627/5 = 0. What is b?
-209, 1
Determine f, given that -2*f**3/19 + 14*f**2/19 - 32*f/19 + 24/19 = 0.
2, 3
Let 5*m**5 - 60*m**4 - 385*m**3 - 660*m**2 - 340*m = 0. What is m?
-2, -1, 0, 17
Factor 3*x**4/5 - 12*x**3 + 111*x**2/5 - 54*x/5.
3*x*(x - 18)*(x - 1)**2/5
Let -2*o**4/9 - 188*o**3/9 - 4418*o**2/9 = 0. Calculate o.
-47, 0
Find z such that -3*z**3/4 - 261*z**2/4 + 342*z - 276 = 0.
-92, 1, 4
Find k, given that 9*k**4 - 726*k**3 + 444*k**2 + 2904*k - 1920 = 0.
-2, 2/3, 2, 80
Factor 4*g**3/5 - 424*g**2/5 - 1744*g/5 - 352.
4*(g - 110)*(g + 2)**2/5
Suppose f**4/3 - 7*f**3/3 + 14*f**2/3 - 8*f/3 = 0. What is f?
0, 1, 2, 4
Let -2*j**2/3 + 4256*j/3 - 2264192/3 = 0. What is j?
1064
Find i, given that 4*i**2/7 - 128*i/7 + 1024/7 = 0.
16
Let -10*j**4/3 - 18*j**3 - 80*j**2/3 - 8*j = 0. Calculate j.
-3, -2, -2/5, 0
Determine x, given that -480*x**5 - 655*x**4 + 300*x**3 + 650*x**2 + 180*x + 5 = 0.
-1, -1/3, -1/32, 1
Determine b so that -7*b**4/3 + 4*b**3 - b**2 - 2*b/3 = 0.
-2/7, 0, 1
Solve -d**2/3 + 488*d/3 - 59536/3 = 0 for d.
244
Solve 2*c**2 + 132*c - 272 = 0.
-68, 2
Factor 28*r**3/5 - 8*r**2/5 - 140*r + 40.
4*(r - 5)*(r + 5)*(7*r - 2)/5
Solve 244205*u**2/2 - 2210*u + 10 = 0.
2/221
Factor -66*o**4/5 - 756*o**3/5 - 2736*o**2/5 - 2496*o/5 + 2304/5.
-6*(o + 4)**3*(11*o - 6)/5
Find u, given that -3*u**4 + 95*u**3 + 580*u**2 + 460*u - 592 = 0.
-4, -2, 2/3, 37
Factor -2*c**4/3 + 56*c**3/3 - 332*c**2/3 - 280*c - 150.
-2*(c - 15)**2*(c + 1)**2/3
Factor -4*z**4 + 76*z**3 + 48*z**2 - 976*z + 1216.
-4*(z - 19)*(z - 2)**2*(z + 4)
Determine f, given that -2*f**3/3 + 22*f**2/3 + 512*f/3 + 920/3 = 0.
-10, -2, 23
What is f