*l**3 + 4*l**2 - 46*l - 24.
-2*(l - 12)*(l - 1)*(l + 1)**3
Find p such that -75*p**5/4 - 390*p**4 + 2013*p**3/4 + 345*p**2/2 - 201*p - 66 = 0.
-22, -2/5, 1
Determine x, given that -3*x**3/2 - 21*x**2/2 - 3*x + 60 = 0.
-5, -4, 2
Factor -b**5 - 57*b**4 - 54*b**3 + 112*b**2.
-b**2*(b - 1)*(b + 2)*(b + 56)
Factor k**3/3 + 29*k**2/3 + 65*k - 75.
(k - 1)*(k + 15)**2/3
Find b such that 4*b**5/3 - 32*b**4/3 + 100*b**3/3 - 152*b**2/3 + 112*b/3 - 32/3 = 0.
1, 2
Solve -a**3 + 386*a**2 - 37632*a + 73728 = 0.
2, 192
Find s such that 4*s**3 + 36*s**2 + 80*s = 0.
-5, -4, 0
Find u such that -3*u**2 - 288*u - 1104 = 0.
-92, -4
Solve 3*i**2/7 + 138*i/7 - 288/7 = 0 for i.
-48, 2
Solve y**2 + 82*y - 1455 = 0 for y.
-97, 15
Factor z**3/2 - 71*z**2/2 + 812*z - 5880.
(z - 28)**2*(z - 15)/2
Factor v**5/7 - 6*v**4/7 - 6*v**3/7 + 44*v**2/7 - 51*v/7 + 18/7.
(v - 6)*(v - 1)**3*(v + 3)/7
Solve 392245882*v**3 - 2025366*v**2 + 3486*v - 2 = 0.
1/581
Factor -2*w**2/3 + 488*w/3 + 1344.
-2*(w - 252)*(w + 8)/3
Factor -2*c**2 - 172*c - 1106.
-2*(c + 7)*(c + 79)
What is a in -54*a**4/5 - 714*a**3/5 - 804*a**2/5 - 144*a/5 = 0?
-12, -1, -2/9, 0
Find g such that -2*g**5/5 - 24*g**4/5 - 58*g**3/5 + 84*g**2/5 + 288*g/5 = 0.
-8, -3, 0, 2
Let a**2/5 + 3607*a/5 = 0. What is a?
-3607, 0
Factor 4*m**2 - 152*m - 1260.
4*(m - 45)*(m + 7)
Factor 6*g**5 + 3*g**4 - 36*g**3 - 66*g**2 - 42*g - 9.
3*(g - 3)*(g + 1)**3*(2*g + 1)
Find c, given that -2*c**4 - 10*c**3 = 0.
-5, 0
Factor -5*n**3/2 - 15*n**2/2 + 90*n - 80.
-5*(n - 4)*(n - 1)*(n + 8)/2
Factor -o**4 + 197*o**3 - 9798*o**2 + 9212*o + 19208.
-(o - 98)**2*(o - 2)*(o + 1)
Suppose 2*b**2/9 - 156*b + 27378 = 0. Calculate b.
351
Determine b so that -21*b**3/5 + 789*b**2/5 + 354*b/5 - 456/5 = 0.
-1, 4/7, 38
Find w, given that 2*w**5/3 + 2*w**4/3 - 4*w**3/3 = 0.
-2, 0, 1
Find t, given that -5*t**5 - 70*t**4 - 245*t**3 = 0.
-7, 0
Factor b**5 - 10*b**4 + 4*b**3 + 42*b**2 + 27*b.
b*(b - 9)*(b - 3)*(b + 1)**2
Factor -s**2 - 565*s + 566.
-(s - 1)*(s + 566)
Determine j so that -675*j**2 + 1440*j - 768 = 0.
16/15
Factor h**3 + 15*h**2 + 14*h.
h*(h + 1)*(h + 14)
Factor v**4/9 - 43*v**2/9 + 50*v/3 - 16.
(v - 3)**2*(v - 2)*(v + 8)/9
Factor q**4/3 - 5*q**3/3 - 11*q**2/3 + 11*q - 6.
(q - 6)*(q - 1)**2*(q + 3)/3
Determine u, given that -8*u**5 - 102*u**4 + 298*u**3 + 348*u**2 - 1064*u + 240 = 0.
-15, -2, 1/4, 2
Suppose -6*q**4 + 80*q**3 - 238*q**2 - 196*q = 0. What is q?
-2/3, 0, 7
Suppose 4*v**3 - 5016*v**2 + 2096688*v - 292138528 = 0. What is v?
418
Suppose 3*v**4 - 18*v**3 - 147*v**2 - 198*v = 0. What is v?
-3, -2, 0, 11
Find r, given that 6860*r**5/3 - 53548*r**4/9 + 37148*r**3/9 + 1348*r**2/3 - 8240*r/9 + 16/9 = 0.
-2/5, 2/1029, 1
Solve -w**2 - 20*w - 19 = 0 for w.
-19, -1
Suppose -6*a**4 + 8*a**3 + 4*a**2/3 - 8*a/3 - 2/3 = 0. What is a?
-1/3, 1
Let 32*c**5/15 - 994*c**3/15 + 64*c**2 + 62*c/15 - 4 = 0. Calculate c.
-6, -1/4, 1/4, 1, 5
Let 3*q**2 - 54*q = 0. What is q?
0, 18
Find b, given that -4*b**4 + 40*b**3 - 52*b**2 - 96*b = 0.
-1, 0, 3, 8
Find u, given that -5*u**4 - 40*u**3 - 105*u**2 - 110*u - 40 = 0.
-4, -2, -1
Let l**2/10 - 4853*l/5 + 23551609/10 = 0. Calculate l.
4853
Factor -4*m**2 + 3384*m.
-4*m*(m - 846)
Factor 9*y**5/7 - 2964*y**4/7 - 1980*y**3/7.
3*y**3*(y - 330)*(3*y + 2)/7
Suppose 2*s**3 + 82*s**2 - 2*s - 82 = 0. Calculate s.
-41, -1, 1
Find i, given that -4*i**4 - 60*i**3 + 12*i**2 + 188*i + 120 = 0.
-15, -1, 2
Suppose 2*s**2/9 + 10*s/9 + 4/3 = 0. Calculate s.
-3, -2
Suppose -3*d**5/8 + d**4/2 + 25*d**3/8 + 13*d**2/4 + d = 0. What is d?
-1, -2/3, 0, 4
Factor 2*g**2 - 3832*g + 1835528.
2*(g - 958)**2
Factor -5*g**5 - 10*g**4 + 15*g**3 + 20*g**2 - 20*g.
-5*g*(g - 1)**2*(g + 2)**2
Factor -2*b**4 + 4*b**3 + 42*b**2 + 36*b.
-2*b*(b - 6)*(b + 1)*(b + 3)
Factor 115*q**2 - 20*q.
5*q*(23*q - 4)
Let -12*k**3 - 195*k**2 + 2961*k - 2106 = 0. What is k?
-26, 3/4, 9
Factor 3*o**5 + 174*o**4 + 2691*o**3 + 4872*o**2 + 2352*o.
3*o*(o + 1)**2*(o + 28)**2
Solve 16*g**5/7 - 220*g**4/7 + 1112*g**3/7 - 2396*g**2/7 + 1632*g/7 + 576/7 = 0 for g.
-1/4, 3, 4
Factor -n**4 + 8*n**3.
-n**3*(n - 8)
Find f, given that -5*f**3 + 80*f**2 + 5*f - 80 = 0.
-1, 1, 16
Factor 3*r**4 - 18*r**2 + 24*r - 9.
3*(r - 1)**3*(r + 3)
Factor 8*w**3/7 - 2*w**2/7.
2*w**2*(4*w - 1)/7
Factor -12*l**3 + 2572*l**2 - 3412*l + 852.
-4*(l - 213)*(l - 1)*(3*l - 1)
Factor 20*a**2 - 28*a.
4*a*(5*a - 7)
Let 4*w**4/7 + 48*w**3/7 + 88*w**2/7 - 48*w + 28 = 0. Calculate w.
-7, 1
Solve -54*a**5 + 930*a**4 + 20284*a**3/3 + 28924*a**2/3 - 2398*a + 138 = 0 for a.
-3, 1/9, 23
Suppose -324*i**5 - 5688*i**4 - 8116*i**3 + 161280*i**2 - 70224*i + 7744 = 0. What is i?
-11, 2/9, 4
Factor -4*k**5 - 40*k**4 - 132*k**3 - 160*k**2 - 64*k.
-4*k*(k + 1)**2*(k + 4)**2
Let t**2/3 + 40*t/3 + 13 = 0. What is t?
-39, -1
Determine n so that 2*n**5/5 - 4*n**4 + 18*n**3/5 + 216*n**2/5 - 216*n/5 = 0.
-3, 0, 1, 6
Suppose -2*c**3/3 + 94*c**2/3 = 0. What is c?
0, 47
Factor -o**2/3 + 46*o/3 + 869.
-(o - 79)*(o + 33)/3
Suppose -2*w**2 - 3436*w - 3434 = 0. What is w?
-1717, -1
Let -3*z**3 + 1824*z**2 - 3639*z + 1818 = 0. What is z?
1, 606
Factor -2*y**4/7 + 8*y**3/7 + 90*y**2/7.
-2*y**2*(y - 9)*(y + 5)/7
Factor -3*v**4 + 12*v**3 - 18*v**2 + 12*v - 3.
-3*(v - 1)**4
Factor 2*o**4/3 + 4*o**3/3 - 56*o**2/3 + 92*o/3 - 14.
2*(o - 3)*(o - 1)**2*(o + 7)/3
Suppose 5*d**5 + 25*d**4 + 40*d**3 + 20*d**2 = 0. What is d?
-2, -1, 0
Factor 12*z**2/5 - 52*z/5 + 48/5.
4*(z - 3)*(3*z - 4)/5
Factor 2*v**3 - 4*v**2 - 26*v - 20.
2*(v - 5)*(v + 1)*(v + 2)
Factor r**2 - 808*r.
r*(r - 808)
Factor 2*b**3/9 + 46*b**2/9 - 338*b/9 + 290/9.
2*(b - 5)*(b - 1)*(b + 29)/9
Let 3*s**5 - 3*s**4 - 9*s**3 + 3*s**2 + 6*s = 0. Calculate s.
-1, 0, 1, 2
Factor -4*r**2/3 - 1624*r/3 - 164836/3.
-4*(r + 203)**2/3
Suppose -3*o**3/5 - 54*o**2/5 - 324*o/5 - 648/5 = 0. What is o?
-6
Determine b, given that -5*b**5/9 - 56*b**4/9 - 26*b**3 - 48*b**2 - 33*b = 0.
-3, -11/5, 0
Factor 2*m**3/7 + 652*m**2/7 + 8360*m + 121968.
2*(m + 18)*(m + 154)**2/7
Determine k so that -2*k**4/7 + 312*k**3/7 + 182*k**2 + 960*k/7 = 0.
-3, -1, 0, 160
Factor -4*y**3 - 16*y**2 + 12*y + 72.
-4*(y - 2)*(y + 3)**2
Factor 6*r**4/7 - 158*r**3/7 - 108*r**2/7.
2*r**2*(r - 27)*(3*r + 2)/7
Factor 2*j**2/7 + 328*j/7 - 330/7.
2*(j - 1)*(j + 165)/7
What is c in 10*c**3/7 + 122*c**2/7 + 134*c/7 + 22/7 = 0?
-11, -1, -1/5
Let -p**2 - 63*p + 198 = 0. What is p?
-66, 3
Determine o so that -36*o**2 + 1268*o - 280 = 0.
2/9, 35
Let o**2/4 - 159*o + 1899/4 = 0. Calculate o.
3, 633
Solve 2*r**4 + 1052*r**3/7 + 26400*r**2/7 + 222500*r/7 + 31250/7 = 0 for r.
-25, -1/7
Suppose 3*l**2 + 225*l = 0. What is l?
-75, 0
Factor -c**4/5 - 39*c**3/5 + 796*c**2/5 - 4476*c/5 + 1584.
-(c - 6)**2*(c - 4)*(c + 55)/5
Suppose -x**5/4 - 21*x**4/4 + 573*x**3/4 + 1205*x**2/4 + 153*x = 0. Calculate x.
-36, -1, 0, 17
Suppose 3*c**2/5 - 102*c/5 - 1833/5 = 0. What is c?
-13, 47
Find m, given that 2*m**2/3 - 28*m/3 - 64/3 = 0.
-2, 16
Factor -2*s**3 + 582*s**2 - 56454*s + 1825346.
-2*(s - 97)**3
Suppose -3*l**5/5 + 69*l**4/5 - 81*l**3 + 651*l**2/5 + 408*l/5 - 144 = 0. What is l?
-1, 1, 4, 15
Factor -3*a**2 + 1245*a + 2502.
-3*(a - 417)*(a + 2)
Factor -2*p**3/7 - 68*p**2/7 - 278*p/7 + 348/7.
-2*(p - 1)*(p + 6)*(p + 29)/7
Factor 3*q**2 - 1377*q - 5556.
3*(q - 463)*(q + 4)
Factor -h**4 - 224*h**3 - 12766*h**2 - 24864*h - 12321.
-(h + 1)**2*(h + 111)**2
Find z, given that -z**3/2 + 647*z**2 = 0.
0, 1294
What is g in -2*g**2/5 + 392*g/5 - 19208/5 = 0?
98
Solve -4*b**3 - 150*b**2 - 354*b - 140 = 0.
-35, -2, -1/2
Factor 14*z**2 + 22004*z - 6288.
2*(z + 1572)*(7*z - 2)
Determine p so that 3*p**4/4 + 3*p**3/4 - 45*p**2/4 - 27*p/4 + 81/2 = 0.
-3, 2, 3
Determine g so that -5*g**4 - 75*g**3 - 190*g**2 - 120*g = 0.
-12, -2, -1, 0
Factor 3*o**4/8 - 3*o**3/8 - 45*o**2/4 - 57*o/2 - 21.
3*(o - 7)*(o + 2)**3/8
Factor -6*w**5/7 + 33*w**4/7 - 60*w**3/7 + 36*w**2/7.
-3*w**2*(w - 2)**2*(2*w - 3)/7
Factor 2*o**2/13 + 14*o + 3036/13.
2*(o + 22)*(o + 69)/13
Find d, given that -2*d**3 + 8*d**2/3 + 56*d/3 + 32/3 = 0.
-2, -2/3, 4
Factor -2*t**3/13 + 12*t**2/13 - 22*t/13 + 12/13.
-2*(t - 3)*(t - 2)*(t - 1)/13
Find a, given that -3*a**3 + 237*a**2 + 3*a - 237 = 0.
-1, 1, 79
Factor 4*g**2 + 32*g - 192.
4*(g - 4)*(g + 12)
Suppose 10*t**5/19 - 22*t**4/19 - 46*t**3/19 + 70*t**2/19 - 12*