/2 - 1285*f**3/2 + 2629*f**2 - 11033*f/4 + 1445/2 = 0.
2/5, 1, 5, 17
Suppose 2*q**5 + 55*q**4 - 148*q**3 + 60*q**2 = 0. Calculate q.
-30, 0, 1/2, 2
Solve 2*d**5/5 - 36*d**4/5 + 194*d**3/5 - 288*d**2/5 + 128*d/5 = 0 for d.
0, 1, 8
Factor -2*o**3/3 - 28*o**2/3 - 40*o - 48.
-2*(o + 2)*(o + 6)**2/3
Factor 3*r**2/5 + 204*r/5.
3*r*(r + 68)/5
Determine n, given that -n**5/2 + n**4/2 + 12*n**3 - 44*n**2 + 56*n - 24 = 0.
-6, 1, 2
Determine o so that 3*o**4/4 + 6*o**3 - 45*o**2/2 - 168*o + 735/4 = 0.
-7, 1, 5
What is z in -z**4/7 + 23*z**3/7 - 79*z**2/7 + 57*z/7 = 0?
0, 1, 3, 19
Let -3*z**2/7 + 57*z/7 - 30 = 0. Calculate z.
5, 14
Solve 2*t**2 - 1264*t + 1262 = 0.
1, 631
Let -2*u**3 - 220*u**2 + 222*u = 0. Calculate u.
-111, 0, 1
Factor 2*q**3/3 + 62*q**2/3 - 272*q/3 + 280/3.
2*(q - 2)**2*(q + 35)/3
Find d such that -8*d**4/9 - 74*d**3/9 - 248*d**2/9 - 118*d/3 - 20 = 0.
-3, -2, -5/4
Factor 15*m**2 + 910*m - 2865.
5*(m - 3)*(3*m + 191)
Find f, given that -5*f**5 + 10*f**4 + 20*f**3 - 10*f**2 - 15*f = 0.
-1, 0, 1, 3
Find x such that 4*x**2 + 12*x + 8 = 0.
-2, -1
Factor -2*v**2/7 - 114*v/7 + 360/7.
-2*(v - 3)*(v + 60)/7
Factor z**3 + 299*z**2 + 22499*z + 22201.
(z + 1)*(z + 149)**2
Determine f so that -10*f**5 - 144*f**4 + 184*f**3 + 1356*f**2 - 846*f - 540 = 0.
-15, -3, -2/5, 1, 3
Find l such that 35*l**4 - 190*l**3 + 75*l**2 = 0.
0, 3/7, 5
What is q in -4*q**4/3 + 56*q**3/3 + 4*q**2/3 - 56*q/3 = 0?
-1, 0, 1, 14
What is r in -5*r**3 - 75*r**2 - 130*r = 0?
-13, -2, 0
Solve 2*g**4 - 336*g**3 + 5616*g**2 - 32832*g + 64800 = 0.
6, 150
Determine u so that u**4/5 - 38*u**3/5 + 261*u**2/5 = 0.
0, 9, 29
Factor -3*y**4 + 234*y**3 - 4071*y**2 - 19188*y - 20172.
-3*(y - 41)**2*(y + 2)**2
Factor 2*a**3 + 34*a**2/3 - 20*a/3 - 16.
2*(a + 1)*(a + 6)*(3*a - 4)/3
Factor -12*w**4 - 164*w**3 - 532*w**2 + 196*w.
-4*w*(w + 7)**2*(3*w - 1)
Factor -3*o**2 + 30*o + 117.
-3*(o - 13)*(o + 3)
Find s such that -2*s**3/23 - 2*s**2/23 + 8*s/23 + 8/23 = 0.
-2, -1, 2
Factor -5*d**3 + 195*d**2 - 1350*d.
-5*d*(d - 30)*(d - 9)
Factor -3*p**2 - 138*p - 1587.
-3*(p + 23)**2
Suppose 6*p**5 + 105*p**4 + 513*p**3 + 201*p**2 - 2715*p - 1350 = 0. What is p?
-9, -5, -1/2, 2
Factor -4*a**4 + 708*a**3 + 2152*a**2 + 1440*a.
-4*a*(a - 180)*(a + 1)*(a + 2)
Find o, given that -3*o**2 + 48*o + 51 = 0.
-1, 17
What is n in -2*n**2/5 - 118*n + 600 = 0?
-300, 5
Solve -2*c**5 - 98*c**4 + 994*c**3 - 2846*c**2 + 3112*c - 1160 = 0 for c.
-58, 1, 2, 5
Let -14450*u**2/3 + 340*u/3 - 2/3 = 0. What is u?
1/85
Factor -2*n**4 + 12*n**3 - 18*n**2.
-2*n**2*(n - 3)**2
Determine k, given that 3*k**4/5 + 21*k**3/5 - 3*k**2/5 - 21*k/5 = 0.
-7, -1, 0, 1
Factor -5*z**3 + 29330*z**2 - 43012445*z.
-5*z*(z - 2933)**2
Factor -5*g**2 + 60*g - 55.
-5*(g - 11)*(g - 1)
Solve -5*y**3 - 795*y**2 - 780*y + 1580 = 0 for y.
-158, -2, 1
Solve -4*a**4 + 4*a**3 + 48*a**2 + 16*a - 64 = 0.
-2, 1, 4
Factor k**3 - 18*k**2 - 217*k + 234.
(k - 26)*(k - 1)*(k + 9)
Solve u**4/7 + 22*u**3/7 + 20*u**2/7 - 22*u/7 - 3 = 0 for u.
-21, -1, 1
Factor 2*p**4/7 + 2*p**3/7 - 10*p**2/7 + 6*p/7.
2*p*(p - 1)**2*(p + 3)/7
Factor -162*v**3 - 2502*v**2 - 1088*v - 120.
-2*(v + 15)*(9*v + 2)**2
Factor -2*z**3/3 + 16*z**2/3 + 1024*z/3 - 4096.
-2*(z - 16)**2*(z + 24)/3
Let 3*z**2 + 30*z - 33 = 0. What is z?
-11, 1
Solve m**3 + 7*m**2 - 41*m + 33 = 0 for m.
-11, 1, 3
Let -2*g**4/3 - 14*g**3 - 100*g**2/3 + 48*g = 0. Calculate g.
-18, -4, 0, 1
Let -8*u**5/17 - 70*u**4/17 - 158*u**3/17 + 44*u**2/17 + 256*u/17 - 64/17 = 0. What is u?
-4, -2, 1/4, 1
Solve -12*t**4/5 - 346*t**3/5 - 832*t**2/5 + 1336*t/5 - 416/5 = 0 for t.
-26, -4, 1/2, 2/3
Suppose -5*l**5 - 170*l**4 - 465*l**3 = 0. What is l?
-31, -3, 0
Factor -3*t**4 + 33*t**3 - 30*t**2.
-3*t**2*(t - 10)*(t - 1)
What is p in -p**2/3 + 13*p/3 + 338 = 0?
-26, 39
Solve -p**2/2 + 11*p/2 - 5 = 0.
1, 10
Suppose -k**5/4 + 239*k**4/2 - 357*k**3 + 713*k**2/2 - 475*k/4 = 0. Calculate k.
0, 1, 475
Determine p so that 4*p**4/7 + 96*p**3/7 - 428*p**2/7 + 552*p/7 - 32 = 0.
-28, 1, 2
Solve 4*j**4 + 20*j**3 - 276*j**2 + 684*j - 432 = 0 for j.
-12, 1, 3
Solve a**4/3 + 271*a**3/3 - 1103*a**2/3 - 269*a + 1650 = 0 for a.
-275, -2, 3
Factor -3*b**5/4 + 45*b**4/2 + 48*b**3.
-3*b**3*(b - 32)*(b + 2)/4
Suppose -147*h**4 - 11109*h**3 - 17190*h**2 - 7116*h - 888 = 0. Calculate h.
-74, -1, -2/7
Let -105*r**5/2 - 1187*r**4/2 + 456*r**3 + 214*r**2 - 24*r = 0. Calculate r.
-12, -2/5, 0, 2/21, 1
Factor -r**4/4 + 29*r**3/4 - 27*r**2/2.
-r**2*(r - 27)*(r - 2)/4
Let 50*y**5 - 90*y**4 - 162*y**3 + 146*y**2 + 240*y + 72 = 0. What is y?
-1, -3/5, 2
Factor w**2/3 + 149*w/3 - 302/3.
(w - 2)*(w + 151)/3
Factor w**3/4 - 4*w**2 + 51*w/4 - 9.
(w - 12)*(w - 3)*(w - 1)/4
Factor 5*y**2 + 185*y + 1260.
5*(y + 9)*(y + 28)
Solve 3*g**3 + 21*g**2/5 - 3*g - 21/5 = 0 for g.
-7/5, -1, 1
What is j in -5*j**4/3 - 65*j**3/3 - 25*j**2 + 365*j/3 - 220/3 = 0?
-11, -4, 1
What is u in -42*u**4 + 188*u**3 + 114*u**2 - 20*u = 0?
-2/3, 0, 1/7, 5
Factor 2*s**4 - 18*s**3 + 36*s**2 + 64*s - 192.
2*(s - 4)**2*(s - 3)*(s + 2)
Solve m**3 - 97*m**2 + 376*m - 372 = 0 for m.
2, 93
Factor -4*h**2/9 + 20*h/9 - 16/9.
-4*(h - 4)*(h - 1)/9
Find v, given that -3*v**3/4 + 9*v**2/2 + 57*v/4 - 63 = 0.
-4, 3, 7
Let -r**3/3 - 1272*r**2 - 1617984*r - 686025216 = 0. Calculate r.
-1272
Factor -3*h**3 + 72*h**2 - 495*h + 726.
-3*(h - 11)**2*(h - 2)
Suppose -2*j**3 + 14*j**2 + 2*j - 14 = 0. What is j?
-1, 1, 7
Let 8*u**2/5 - 86*u/5 - 22/5 = 0. Calculate u.
-1/4, 11
Factor 3*w**5 - 57*w**4 + 345*w**3 - 723*w**2 + 624*w - 192.
3*(w - 8)**2*(w - 1)**3
Let -6*j**3/11 - 6*j**2 + 1200*j/11 + 5472/11 = 0. Calculate j.
-19, -4, 12
Find y, given that y**5/10 + y**4/2 - 7*y**3/10 - y**2/2 + 3*y/5 = 0.
-6, -1, 0, 1
Factor o**3/2 - 35*o**2/2 + 179*o/2 - 145/2.
(o - 29)*(o - 5)*(o - 1)/2
Find q such that -2*q**4/5 + 36*q**3/5 + 88*q**2/5 - 144*q/5 - 64 = 0.
-2, 2, 20
Factor v**3 - 7*v**2/2 - 7*v - 5/2.
(v - 5)*(v + 1)*(2*v + 1)/2
Let 6*r**4/7 - 33*r**3/7 - 801*r**2/7 + 1248*r/7 - 60 = 0. What is r?
-10, 1/2, 1, 14
Factor 3*c**2 + 282*c + 819.
3*(c + 3)*(c + 91)
Suppose 3*j**2/2 + 831*j/2 + 825 = 0. What is j?
-275, -2
Find r, given that r**4 + 94*r**3 + 2209*r**2 = 0.
-47, 0
Factor -a**2 - 46*a - 529.
-(a + 23)**2
Solve 3*l**4/8 + 39*l**3/8 - 93*l**2/8 - 39*l/8 + 45/4 = 0.
-15, -1, 1, 2
Factor 3*u**3 - 108*u**2 + 483*u - 558.
3*(u - 31)*(u - 3)*(u - 2)
Determine u, given that -3*u**2 - 5136*u - 5133 = 0.
-1711, -1
Factor 2*x**2 + 3976*x + 1976072.
2*(x + 994)**2
Determine b, given that b**5/2 + 121*b**4 - 244*b**3 + b**2 + 487*b/2 - 122 = 0.
-244, -1, 1
Factor -2*f**4 - 78*f**3 - 648*f**2.
-2*f**2*(f + 12)*(f + 27)
Let 2*s**3 - 2*s**2 - 170*s - 550 = 0. What is s?
-5, 11
Factor a**4 + a**3 - 6*a**2 - 4*a + 8.
(a - 2)*(a - 1)*(a + 2)**2
What is o in -2*o**5/13 - 58*o**4/13 - 308*o**3/13 + 1292*o**2/13 - 1418*o/13 + 38 = 0?
-19, -13, 1
Factor 2*q**3 + 18*q**2 + 16*q.
2*q*(q + 1)*(q + 8)
Solve -2*f**3 + 18*f**2 + 194*f - 210 = 0.
-7, 1, 15
Solve 59*r**3 - 244*r**2 + 209*r - 24 = 0 for r.
8/59, 1, 3
Suppose 3*w**2 - 78*w + 315 = 0. What is w?
5, 21
Let c**3/2 + 769*c**2/3 - 685*c/2 + 257/3 = 0. Calculate c.
-514, 1/3, 1
Factor -b**2/2 + 17*b/2 - 15.
-(b - 15)*(b - 2)/2
What is t in 33*t**3 - 12*t**2 - 207*t - 162 = 0?
-18/11, -1, 3
Find h such that -2*h**4/11 + 54*h**3/11 + 16*h**2 + 120*h/11 = 0.
-2, -1, 0, 30
Solve -10*y**3/9 + 38*y**2/3 + 76*y/9 - 16/3 = 0.
-1, 2/5, 12
Let 3*o**3 - 48*o**2 + 108*o + 432 = 0. What is o?
-2, 6, 12
Find h, given that -h**3/6 + h**2 - h/2 - 5/3 = 0.
-1, 2, 5
Factor 196*b**4 - 728*b**3 + 368*b**2 + 152*b + 12.
4*(b - 3)*(b - 1)*(7*b + 1)**2
Suppose 5*r**5/3 - 10*r**4 + 20*r**3/3 + 10*r**2 - 25*r/3 = 0. What is r?
-1, 0, 1, 5
Factor -3*h**4 - 132*h**3 + 135*h**2.
-3*h**2*(h - 1)*(h + 45)
Solve 3*j**2/5 - 3*j/5 = 0 for j.
0, 1
Suppose -2*z**2/5 - 762*z + 3812/5 = 0. What is z?
-1906, 1
Factor -v**3/5 + 22*v**2/5 + 47*v/5 + 24/5.
-(v - 24)*(v + 1)**2/5
Factor 4*w**4 + 20*w**3 + 32*w**2 + 16*w.
4*w*(w + 1)*(w + 2)**2
Determine f so that 21*f**5/10 + 179*f**4/5 - 41*f**3/10 - 471*f**2/5 + 74*f - 68/5 = 0.
-17, -2, 2/7, 2/3, 1
Factor o**4 - 6*o**3 - 24*o**2 - 26*o - 9.
(o - 9)*(o + 1)**3
Suppose 3*b**3/7 + 2358*b**2/7 + 617796*b/7 + 53954184/7 = 0. What is b?
-262
Suppose 15*m**4/7 + 66*m**3/7 - 3*m**