**2/5 - 29*b/5 + 42/5.
-(b - 1)*(b + 6)*(b + 7)/5
Factor 3*m**5 + 82*m**4 + 532*m**3 - 392*m**2.
m**2*(m + 14)**2*(3*m - 2)
Factor -i**4/2 - 8*i**3 + 77*i**2/2 - 30*i.
-i*(i - 3)*(i - 1)*(i + 20)/2
Factor 3*x**2 - 420*x + 14700.
3*(x - 70)**2
Suppose 2*j**4/11 - 2*j**2/11 = 0. What is j?
-1, 0, 1
Find i such that -35*i**2 - 55*i - 20 = 0.
-1, -4/7
Suppose -9*c**4 + 3*c**3 + 117*c**2 + 69*c - 36 = 0. Calculate c.
-3, -1, 1/3, 4
Find d such that -d**3/3 - 85*d**2/3 + d/3 + 85/3 = 0.
-85, -1, 1
Let -q**4 - 12*q**3 + 45*q**2 - 4*q - 60 = 0. Calculate q.
-15, -1, 2
Let 50*n**4/3 - 160*n**3/3 - 2*n**2/3 + 88*n/3 + 8 = 0. What is n?
-2/5, 1, 3
Determine a so that -a**2/4 + a/4 + 3/2 = 0.
-2, 3
Factor -3*c**2/2 - 9*c/2.
-3*c*(c + 3)/2
Suppose 3*l**5 - 3*l**4 - 15*l**3 + 15*l**2 + 12*l - 12 = 0. Calculate l.
-2, -1, 1, 2
Suppose m**3 - 73*m**2 + 1711*m - 12615 = 0. Calculate m.
15, 29
Let 5*r**3 - 2195*r**2 + 241995*r - 239805 = 0. What is r?
1, 219
Factor -3*f**2/7 - 1587*f/7 + 1590/7.
-3*(f - 1)*(f + 530)/7
Suppose -5*t**3 + 1290*t**2 - 83205*t = 0. What is t?
0, 129
Determine h, given that -5324*h**5 - 19360*h**4 - 27500*h**3 - 19080*h**2 - 6480*h - 864 = 0.
-1, -6/11
Find m, given that -m**2/2 + 10*m + 21/2 = 0.
-1, 21
Solve t**4 + 7*t**3 + 6*t**2 = 0 for t.
-6, -1, 0
Find k, given that -4*k**2/7 + 1688*k/7 - 178084/7 = 0.
211
Factor 2*v**3/3 + 52*v**2/3 + 142*v/3 + 92/3.
2*(v + 1)*(v + 2)*(v + 23)/3
Suppose -2*l**3 - 47*l**2/2 - 66*l + 18 = 0. Calculate l.
-6, 1/4
Solve 3*l**5 + 18*l**4 + 33*l**3 + 6*l**2 - 36*l - 24 = 0 for l.
-2, -1, 1
What is s in -9*s**4 + 195*s**3 - 1429*s**2 + 4025*s - 3750 = 0?
2, 3, 25/3
Find y such that 3*y**2/5 - 72*y - 363/5 = 0.
-1, 121
Factor 3*q**2/8 + 42*q - 339/8.
3*(q - 1)*(q + 113)/8
Find z such that z**2/2 - 187*z - 375/2 = 0.
-1, 375
Find h, given that 12*h**3 + 94*h**2 + 132*h = 0.
-6, -11/6, 0
Factor 88*j**2 - 314*j - 60.
2*(4*j - 15)*(11*j + 2)
Factor 2*n**3/21 + 62*n**2/21 + 160*n/7.
2*n*(n + 15)*(n + 16)/21
Solve -t**4 + 5*t**3 - 20*t + 16 = 0 for t.
-2, 1, 2, 4
Factor -2*c**2/7 - 100*c/7 + 208/7.
-2*(c - 2)*(c + 52)/7
Solve -6*l**4 + 39*l**3 - 42*l**2 - 99*l + 108 = 0 for l.
-3/2, 1, 3, 4
Solve 192*d**2 + 2736*d + 9747 = 0 for d.
-57/8
Solve 52*y**4/7 - 54*y**3/7 - 102*y**2/7 + 4*y/7 = 0 for y.
-1, 0, 1/26, 2
Factor -2*o**2 + 20*o.
-2*o*(o - 10)
Factor 3*c**3 - 36*c**2 + 87*c - 54.
3*(c - 9)*(c - 2)*(c - 1)
Find u, given that 2*u**4 - 30*u**3 + 52*u**2 = 0.
0, 2, 13
Factor -5*l**3 + 545*l**2 - 9920*l - 288300.
-5*(l - 62)**2*(l + 15)
Suppose t**5/4 + 79*t**4 - 3*t**3/4 - 473*t**2/2 + 158*t = 0. What is t?
-316, -2, 0, 1
Solve 2*i**5/9 - 22*i**3/9 - 4*i**2 - 16*i/9 = 0.
-2, -1, 0, 4
Determine z, given that z**2/3 - 56*z = 0.
0, 168
Solve n**2/4 + 1056*n + 1115136 = 0 for n.
-2112
Factor 16*v**3 - 114*v**2 - 274*v + 36.
2*(v - 9)*(v + 2)*(8*v - 1)
Solve 168*n**5 + 860*n**4 + 3173*n**3/2 + 2559*n**2/2 + 430*n + 50 = 0.
-2, -5/4, -1/3, -2/7
Factor l**2/5 + 2*l/5 - 3.
(l - 3)*(l + 5)/5
Factor -676*i**4 + 3588*i**3 - 1056*i**2 + 80*i.
-4*i*(i - 5)*(13*i - 2)**2
Solve 2*h**4/5 + 52*h**3/5 - 56*h**2/5 - 52*h/5 + 54/5 = 0 for h.
-27, -1, 1
Factor -2*h**3/3 + 14*h**2/3 - 10*h + 6.
-2*(h - 3)**2*(h - 1)/3
Find s, given that -63*s**2/2 - 129*s/4 - 3/4 = 0.
-1, -1/42
What is l in 2*l**3/23 + 24*l**2/23 - 120*l/23 + 128/23 = 0?
-16, 2
Determine n, given that n**3/2 + 17*n**2/2 + 40*n + 32 = 0.
-8, -1
Suppose -b**5/2 - 3*b**4 + 18*b**3 - 20*b**2 = 0. Calculate b.
-10, 0, 2
Factor 3*a**3 - 168*a**2 + 2352*a.
3*a*(a - 28)**2
What is b in b**3/4 + 2593*b**2/4 + 1679615*b/4 - 1682209/4 = 0?
-1297, 1
Factor -4*g**4 + 36*g**3 + 4*g**2 - 36*g.
-4*g*(g - 9)*(g - 1)*(g + 1)
What is d in d**3/4 + 41*d**2/4 + 75*d/4 - 117/4 = 0?
-39, -3, 1
Factor -2*h**4 - 48*h**3 - 388*h**2 - 1152*h - 810.
-2*(h + 1)*(h + 5)*(h + 9)**2
Factor -4*m**2 - 432*m.
-4*m*(m + 108)
Factor 8*c**4/7 - 1062*c**3/7 + 35640*c**2/7 - 26136*c/7.
2*c*(c - 66)**2*(4*c - 3)/7
Let 18*r**3/5 + 78*r**2/5 + 16*r + 24/5 = 0. What is r?
-3, -2/3
Determine v so that -2*v**2/9 - 202*v/9 = 0.
-101, 0
Solve -r**4 + 23*r**3 + 341*r**2 - 363*r = 0 for r.
-11, 0, 1, 33
Let g**2/5 - 6*g = 0. Calculate g.
0, 30
Factor -4*k**3 + 1040*k**2 - 67600*k.
-4*k*(k - 130)**2
Solve 5*x**3 - 640*x**2 + 1885*x - 1250 = 0 for x.
1, 2, 125
Suppose -6*f**3 + 40*f**2/7 + 2*f/7 = 0. Calculate f.
-1/21, 0, 1
Factor -2*g**3/19 - 84*g**2/19 + 2*g/19 + 84/19.
-2*(g - 1)*(g + 1)*(g + 42)/19
What is b in -b**3/2 + 203*b**2 - 404*b = 0?
0, 2, 404
Factor d**4/3 - 73*d**2/3 + 4*d + 420.
(d - 6)**2*(d + 5)*(d + 7)/3
Determine a, given that a**4 - 6*a**3 + 11*a**2 - 6*a = 0.
0, 1, 2, 3
Factor -2*s**4 - 26*s**3 - 82*s**2 - 94*s - 36.
-2*(s + 1)**2*(s + 2)*(s + 9)
Determine j so that -3*j**5 - 66*j**4 - 33*j**3 + 606*j**2 - 504*j = 0.
-21, -4, 0, 1, 2
Suppose -5*o**3 + 50*o**2 - 65*o - 120 = 0. What is o?
-1, 3, 8
Factor k**4/3 + 13*k**3/3 + k**2/3 - 155*k - 450.
(k - 6)*(k + 5)**2*(k + 9)/3
What is q in 48*q**3 - 456*q**2 - 237*q - 30 = 0?
-1/4, 10
Solve 21*l**5 + 6*l**4 - 126*l**3 - 204*l**2 - 111*l - 18 = 0.
-1, -2/7, 3
Factor 2*d**4/5 - 11*d**3/5 - 21*d**2/5 - d/5 + 7/5.
(d - 7)*(d + 1)**2*(2*d - 1)/5
Factor 9*f**5 - 24*f**4 - 33*f**3.
3*f**3*(f + 1)*(3*f - 11)
Solve 8*z**5/5 + 14*z**4/5 - 12*z**3/5 - 14*z**2/5 + 4*z/5 = 0.
-2, -1, 0, 1/4, 1
Suppose -18*c**5/7 + 384*c**4/7 - 1376*c**3/7 + 788*c**2/7 + 1042*c/7 + 204/7 = 0. Calculate c.
-1/3, 2, 3, 17
Factor -28*i**3 - 7076*i**2 - 12032*i + 4016.
-4*(i + 2)*(i + 251)*(7*i - 2)
Let 4*x**4/7 + 82*x**3/7 - 856*x**2/7 - 64*x = 0. Calculate x.
-28, -1/2, 0, 8
Let 2*j**3/15 + 342*j**2/5 + 58482*j/5 + 3333474/5 = 0. Calculate j.
-171
Factor -j**2/7 + 30*j/7 - 29/7.
-(j - 29)*(j - 1)/7
Determine k, given that -k**4/5 + 6*k**3/5 - 12*k**2/5 + 2*k - 3/5 = 0.
1, 3
Solve -8*b**3/11 + 6*b**2/11 + 2*b/11 = 0.
-1/4, 0, 1
Factor 5*g**4 - 55*g**3 + 185*g**2 - 225*g + 90.
5*(g - 6)*(g - 3)*(g - 1)**2
Find c such that 2*c**2 - 20*c + 18 = 0.
1, 9
Determine f, given that -21*f**5 + 45*f**4 + 99*f**3 - 141*f**2 + 18*f = 0.
-2, 0, 1/7, 1, 3
Factor -b**4/6 - 7*b**3/6 + 11*b**2 - 74*b/3 + 52/3.
-(b - 2)**3*(b + 13)/6
Factor -y**3 - 369*y**2/7 - 1266*y/7 + 56.
-(y + 4)*(y + 49)*(7*y - 2)/7
Factor 2*s**5/3 + 8*s**4/3 + 10*s**3/3 + 4*s**2/3.
2*s**2*(s + 1)**2*(s + 2)/3
Solve -2*v**3/5 + 152*v**2/5 - 546*v - 6084/5 = 0.
-2, 39
Let 2*a**4/5 - 1098*a**3/5 + 2182*a**2/5 + 3282*a/5 = 0. What is a?
-1, 0, 3, 547
Factor 4*c**2 - 4600*c + 4596.
4*(c - 1149)*(c - 1)
Factor s**2 - 382*s + 36481.
(s - 191)**2
Factor -7*k**2 - 41*k/2 - 13.
-(k + 2)*(14*k + 13)/2
Determine d so that -d**2/2 + 37*d + 75/2 = 0.
-1, 75
Factor c**3 - 1757*c**2 + 770883*c + 772641.
(c - 879)**2*(c + 1)
Find a, given that -4*a**5 + 108*a**3 + 200*a**2 + 96*a = 0.
-4, -1, 0, 6
What is g in 43200*g**4 - 59040*g**3 + 9372*g**2 + 7380*g + 675 = 0?
-3/20, 5/6
Factor 3*l**2 - 57*l + 252.
3*(l - 12)*(l - 7)
Factor -2*g**2/7 - 816*g - 582624.
-2*(g + 1428)**2/7
Let -4*z**2 + 256*z - 2652 = 0. Calculate z.
13, 51
Let -2*l**3 + 64*l**2 - 258*l - 324 = 0. Calculate l.
-1, 6, 27
Let -2*o**5/9 - 448*o**4/9 - 33746*o**3/9 - 876604*o**2/9 - 1653752*o/9 - 810448/9 = 0. What is o?
-74, -1
Suppose 4*y**3/7 - 8*y**2/7 - 20*y/7 + 24/7 = 0. Calculate y.
-2, 1, 3
Factor -3*l**3/4 - 3*l**2/2 + 39*l/4 - 15/2.
-3*(l - 2)*(l - 1)*(l + 5)/4
What is s in 3*s**5/8 + 39*s**4/8 + 57*s**3/8 - 435*s**2/8 + 66*s - 24 = 0?
-8, 1
Determine n so that 4*n**3 - 88*n**2 - 92*n = 0.
-1, 0, 23
Factor y**3 - 84*y**2 + 624*y - 1216.
(y - 76)*(y - 4)**2
Factor 168*v**2 - 339*v + 6.
3*(v - 2)*(56*v - 1)
Factor -a**5 + 11*a**4 - 47*a**3 + 97*a**2 - 96*a + 36.
-(a - 3)**2*(a - 2)**2*(a - 1)
Determine i, given that -i**4 + 24*i**3 - 143*i**2 - 24*i + 144 = 0.
-1, 1, 12
Solve -3*y**2 - 23*y/2 - 5 = 0 for y.
-10/3, -1/2
Factor 2*o**3/9 + 16*o**2/9 - 62*o/9 + 44/9.
2*(o - 2)*(o - 1)*(o + 11)/9
Find z such that -12*z**4 - 99*z**3 - 84*z**2 + 585*z + 150 = 0.
-5, -1/4, 2
Suppose -p**2/4 + 2731*p - 7458361 = 0. Calculate p.
5462
Find r such that -r**3/2 - r**2/3 + 2*r + 4/3 = 0.
-2, -2/3, 2
Find r, given that 37*r**3 + 109*r**2 - 6*r = 0.
-3, 0, 2/37
Solve -8*g**5 - 172*g**4 + 280*g**3 + 80*g**2 - 272*g + 92 = 0.
-23, -1, 1/2, 1
Let -4*i**4 - 12*i**3 + 72*i**2 = 0. 