such that -8*i**5/13 + 54*i**4/13 - 98*i**3/13 + 36*i**2/13 + 16*i/13 = 0.
-1/4, 0, 1, 2, 4
Find g, given that 2*g**4 + 4948*g**3 + 3055386*g**2 - 6125624*g + 3065288 = 0.
-1238, 1
Factor -2*u**5 + 22*u**4 - 92*u**3 + 184*u**2 - 176*u + 64.
-2*(u - 4)*(u - 2)**3*(u - 1)
Solve -2*l**3 + 58*l**2 - 494*l + 1014 = 0.
3, 13
Determine x, given that 7*x**3/5 + 408*x**2/5 + 1628*x/5 + 432/5 = 0.
-54, -4, -2/7
Factor n**3/7 + n**2 + 2*n + 8/7.
(n + 1)*(n + 2)*(n + 4)/7
Solve 2*r**5/13 + 144*r**4/13 + 2586*r**3/13 - 436*r**2/13 - 8064*r/13 - 5184/13 = 0.
-36, -1, 2
Factor 15*k**3/7 - 9*k**2/7 - 60*k/7 + 36/7.
3*(k - 2)*(k + 2)*(5*k - 3)/7
Factor h**5/3 - 7*h**4/3 + 16*h**3/3 - 8*h**2/3 - 16*h/3 + 16/3.
(h - 2)**4*(h + 1)/3
Solve -5*q**3/6 + 25*q**2/6 - 20*q/3 + 10/3 = 0.
1, 2
Factor -4*c**4 + 56*c**3 - 48*c**2 - 56*c + 52.
-4*(c - 13)*(c - 1)**2*(c + 1)
Suppose -25*v**4 + 1690*v**3 + 4155*v**2 + 3140*v + 700 = 0. What is v?
-1, -2/5, 70
Factor -n**4/2 - 6*n**3 - 16*n**2 + 24*n + 72.
-(n - 2)*(n + 2)*(n + 6)**2/2
Determine f, given that -f**2/9 - 40*f/3 + 244/9 = 0.
-122, 2
Factor l**4 + 79*l**3 - 80*l**2.
l**2*(l - 1)*(l + 80)
Let 2*p**4/5 - 6*p**3/5 - 4*p**2 = 0. Calculate p.
-2, 0, 5
Factor -t**5 - 5*t**4 - 2*t**3 + 8*t**2.
-t**2*(t - 1)*(t + 2)*(t + 4)
Let b**3 - 214*b**2 + 14329*b - 285156 = 0. Calculate b.
36, 89
Find b such that -b**4/6 + 10*b**3/3 + 1081*b**2/3 - 3770*b - 426387/2 = 0.
-29, 39
Determine s so that 2*s**2/11 + 158*s/11 - 1204/11 = 0.
-86, 7
Determine o, given that -2*o**3/13 - 926*o**2/13 - 105782*o/13 + 325734/13 = 0.
-233, 3
Factor -3*b**3/4 - 15*b**2/4 + 6*b + 9.
-3*(b - 2)*(b + 1)*(b + 6)/4
Factor 2*v**3/3 + 8*v**2/3 - 2*v/3 - 8/3.
2*(v - 1)*(v + 1)*(v + 4)/3
Determine x, given that x**4/2 + 103*x**3/2 + 2703*x**2/2 + 2601*x/2 = 0.
-51, -1, 0
Factor d**3/2 + 39*d**2/10 + 36*d/5 - 8/5.
(d + 4)**2*(5*d - 1)/10
Let 3*v**2/2 + 3*v - 660 = 0. What is v?
-22, 20
Suppose 2*j**2/7 + 1296*j + 1469664 = 0. Calculate j.
-2268
Solve 10*w**3 - 26*w**2 - 18*w + 18 = 0.
-1, 3/5, 3
Determine c so that -3*c**5 + 228*c**4 - 879*c**3 + 1086*c**2 - 432*c = 0.
0, 1, 2, 72
Let -c**2/2 + 7*c - 49/2 = 0. Calculate c.
7
Solve i**2 + 314*i + 24649 = 0.
-157
Factor -3*s**2/8 + 579*s/4 - 1155/8.
-3*(s - 385)*(s - 1)/8
What is w in -3*w**2/2 - 15*w/2 + 561 = 0?
-22, 17
Find c such that 6*c**5/7 + 45*c**4/7 - 363*c**3/7 + 801*c**2/7 - 723*c/7 + 234/7 = 0.
-13, 1, 3/2, 2
Solve -o**5 - 2*o**4 + 21*o**3 - 22*o**2 - 20*o + 24 = 0 for o.
-6, -1, 1, 2
Factor -2*w**2 + 1640*w - 336200.
-2*(w - 410)**2
Factor 7*h**5 - 22*h**4 + 16*h**3 + 14*h**2 - 23*h + 8.
(h - 1)**3*(h + 1)*(7*h - 8)
Factor 4*y**4 + 76*y**3 + 388*y**2 + 180*y - 648.
4*(y - 1)*(y + 2)*(y + 9)**2
Factor 2*i**3/17 - 2*i**2/17 - 12*i/17.
2*i*(i - 3)*(i + 2)/17
Find d such that -4*d**2 + 72*d + 76 = 0.
-1, 19
Factor -3*f**3/2 - 51*f**2 - 93*f/2 + 99.
-3*(f - 1)*(f + 2)*(f + 33)/2
Let -u**3/4 - 3*u**2 - 21*u/4 + 49/2 = 0. Calculate u.
-7, 2
Factor -18*z**4/19 + 876*z**3/19 + 1192*z**2/19 + 400*z/19.
-2*z*(z - 50)*(3*z + 2)**2/19
Suppose 4*f**2/7 - 120*f/7 + 500/7 = 0. What is f?
5, 25
Factor -28*l**4 - 58*l**3 - 32*l**2 - 2*l.
-2*l*(l + 1)**2*(14*l + 1)
Determine g so that -g**3/8 - 2247*g**2/8 - 157641*g + 157922 = 0.
-1124, 1
Determine d, given that 5*d**4 - 960*d**3 + 31065*d**2 + 1544530*d = 0.
-26, 0, 109
Factor -2*h**3/17 + 6*h**2/17 + 8*h/17 - 24/17.
-2*(h - 3)*(h - 2)*(h + 2)/17
Factor j**5/7 + 18*j**4/7 + 12*j**3 + 22*j**2 + 123*j/7 + 36/7.
(j + 1)**3*(j + 3)*(j + 12)/7
Determine g, given that 2*g**5 + 36*g**4 + 26*g**3 - 144*g**2 - 136*g = 0.
-17, -2, -1, 0, 2
Factor -4*a**2 + 212*a - 208.
-4*(a - 52)*(a - 1)
Factor -2*a**2/3 + 92*a/3.
-2*a*(a - 46)/3
What is w in 18*w**3/5 - 58*w**2/5 + 48*w/5 - 8/5 = 0?
2/9, 1, 2
Factor 2*i**3 + 7*i**2 + 5*i.
i*(i + 1)*(2*i + 5)
Factor d**2/9 + 577*d/9 - 578/9.
(d - 1)*(d + 578)/9
Suppose 2*x**2 + 236*x - 480 = 0. Calculate x.
-120, 2
Factor y**4/9 + 14*y**3/9 - 5*y**2/3.
y**2*(y - 1)*(y + 15)/9
Find k, given that k**4 - 3*k**3 - 93*k**2 - 205*k + 300 = 0.
-5, 1, 12
Let 21*q**5/4 - 39*q**4/2 - 297*q**3/4 + 3*q**2/2 + 69*q + 18 = 0. Calculate q.
-2, -1, -2/7, 1, 6
Factor c**5/3 - 8*c**4/3 + 5*c**3 + 8*c**2/3 - 16*c/3.
c*(c - 4)**2*(c - 1)*(c + 1)/3
Determine i, given that i**5/3 - i**4/3 - 4*i**3/3 + 4*i**2/3 = 0.
-2, 0, 1, 2
Factor 2*w**2/5 - 764*w + 364810.
2*(w - 955)**2/5
Factor -140*y**2 - 125*y + 40.
-5*(4*y - 1)*(7*y + 8)
Solve p**2/8 - 55*p/8 + 47 = 0.
8, 47
Solve 45*b**4 - 174*b**3 + 132*b**2 + 120*b - 96 = 0 for b.
-4/5, 2/3, 2
What is q in -q**4/7 + 43*q**3/7 - 82*q**2/7 = 0?
0, 2, 41
Solve 2*z**2/7 - 1856*z/7 + 430592/7 = 0 for z.
464
Suppose h**3/7 - 21*h**2 - 297*h/7 - 149/7 = 0. What is h?
-1, 149
What is y in 3*y**4 + 56*y**3 + 35*y**2 - 18*y = 0?
-18, -1, 0, 1/3
Solve 5*n**3 + 35*n**2 - 5*n - 35 = 0 for n.
-7, -1, 1
Factor 5*c**2 + 1340*c - 1345.
5*(c - 1)*(c + 269)
Factor 3*c**2/2 + 63*c/2.
3*c*(c + 21)/2
Factor -5*p**2 + 50*p + 55.
-5*(p - 11)*(p + 1)
Find a, given that a**3 + 15*a**2 - 28*a - 588 = 0.
-14, -7, 6
Factor 2*f**2/21 + 12*f/7 + 54/7.
2*(f + 9)**2/21
Determine l so that -4*l**2 - 40*l - 36 = 0.
-9, -1
Find d, given that -2*d**2/7 - 44*d - 1694 = 0.
-77
Factor -6*p**2/7 - 12*p/7.
-6*p*(p + 2)/7
Suppose 3*y**3/10 - 229*y**2/10 - 196*y/5 + 78/5 = 0. What is y?
-2, 1/3, 78
Factor -5*h**4 + 45*h**3.
-5*h**3*(h - 9)
Factor -2*r**2 + 56*r + 1176.
-2*(r - 42)*(r + 14)
Factor 4*o**3/3 + 116*o**2/3 - 244*o/3 + 124/3.
4*(o - 1)**2*(o + 31)/3
Determine l, given that 2*l**3/3 + 56*l**2/3 - 182*l/3 + 124/3 = 0.
-31, 1, 2
Factor -2*a**2/3 - 1096*a/3 - 150152/3.
-2*(a + 274)**2/3
Solve 36*p**4 + 20*p**3 - 16*p**2 = 0 for p.
-1, 0, 4/9
Factor -5*f**4/2 - 25*f**3 - 20*f**2 + 160*f.
-5*f*(f - 2)*(f + 4)*(f + 8)/2
Factor -w**3 - 120*w**2.
-w**2*(w + 120)
Let -3*c**4 - 137*c**3 + 191*c**2 + 137*c - 188 = 0. What is c?
-47, -1, 1, 4/3
Find q such that -3*q**3/2 + 15*q**2/2 + 39*q/2 + 21/2 = 0.
-1, 7
Suppose -4*w**4 + 92*w**3 - 372*w**2 - 1820*w - 1352 = 0. What is w?
-2, -1, 13
Factor r**2 + 7*r + 10.
(r + 2)*(r + 5)
Factor -2*g**3 + 158*g**2 + 840*g.
-2*g*(g - 84)*(g + 5)
Factor 4*g**2/5 + 756*g/5 - 152.
4*(g - 1)*(g + 190)/5
Let -f**3 + 664*f**2 - 109557*f - 221778 = 0. What is f?
-2, 333
Factor -a**2/3 + 13*a/3 - 4.
-(a - 12)*(a - 1)/3
Suppose -j**2/2 - 38*j - 722 = 0. What is j?
-38
Determine w, given that -w**3/3 - 531*w**2 - 281961*w - 49907097 = 0.
-531
Factor c**5/2 - 18*c**4 + 64*c**3 + 8*c**2 - 264*c + 256.
(c - 32)*(c - 2)**3*(c + 2)/2
Factor 3*l**4 - 423*l**3 + 14697*l**2 + 15123*l.
3*l*(l - 71)**2*(l + 1)
Solve -36*r**4 - 4701*r**3 + 11535*r**2 - 4803*r - 1995 = 0.
-133, -1/4, 1, 5/3
Factor t**5/6 - 581*t**4/6 + 83515*t**3/6 + 254041*t**2/6 + 127604*t/3 + 42632/3.
(t - 292)**2*(t + 1)**3/6
Factor 2*h**3/3 - 3410*h**2/3 - 6826*h/3 - 1138.
2*(h - 1707)*(h + 1)**2/3
Factor s**3/4 - s/4.
s*(s - 1)*(s + 1)/4
Factor f**2/4 - 231*f/4 - 58.
(f - 232)*(f + 1)/4
Factor s**4/3 - 112*s**3/3 - 235*s**2/3 + 802*s/3 - 152.
(s - 114)*(s - 1)**2*(s + 4)/3
Solve 5*l**4/3 - 10*l**3/3 - 25*l**2 + 60*l = 0 for l.
-4, 0, 3
Determine s, given that -3*s**2/4 - 69*s/2 + 141/4 = 0.
-47, 1
Determine i so that -5*i**3 + 235*i**2 - 2080*i - 16900 = 0.
-5, 26
Let -15*b**3 - 42*b**2 - 21*b + 6 = 0. Calculate b.
-2, -1, 1/5
Determine q so that 4*q**3 - 8*q**2 + 4*q = 0.
0, 1
Factor -3*l**2/7 - 228*l + 1599/7.
-3*(l - 1)*(l + 533)/7
Let -4*q**5 + 24*q**4 - 16*q**3 - 24*q**2 + 20*q = 0. What is q?
-1, 0, 1, 5
Let 4*p**4 + 28*p**3 + 60*p**2 + 52*p + 16 = 0. What is p?
-4, -1
Solve w**2/2 - 177*w/2 + 430 = 0 for w.
5, 172
Find q such that -4*q**4/9 + 52*q**3/9 + 16*q**2/9 - 688*q/9 - 320/3 = 0.
-2, 5, 12
Factor -2*i**2/9 + 46*i/9.
-2*i*(i - 23)/9
Suppose -i**3/2 + 6*i + 8 = 0. What is i?
-2, 4
Let -4*z**2 + 64*z + 4644 = 0. Calculate z.
-27, 43
Find f such that -f**4/3 + 8*f**3/3 + 76*f**2/3 - 368*f/3 + 128 = 0.
-8, 2, 12
Factor i**3 - 39*i**2 + 266*i + 696.
(i - 29)*(i - 12)*(i + 2)
Solve -196*f**5 + 364*f**4 - 8*f**3 - 328*f**2 + 204*f - 36 = 0.
-1, 3/7, 1
Let 5*i**3 + 10*i**2 - 75*i - 180 = 0. Calculate i.
-3, 4
Factor -3*c**3/4 + 21*c**2/2 - 45*c + 54.
-3*(c - 6)**2*(c - 2)/4
Let -w**4 - 14*w**3 - 65*w**2 - 100*w = 0. Calculate w.
-5, -4, 0
Factor -2*o**4/3 - 56*