8*b**5 - 69*b**4 - 336*b**3 - 414*b**2 - 186*b - 21 = 0. Calculate b.
-1, -1/6, 7
Determine v, given that -5*v**3 - 30*v**2 - 55*v - 30 = 0.
-3, -2, -1
Factor -5*n**5 + 10*n**3 - 5*n.
-5*n*(n - 1)**2*(n + 1)**2
Factor -3*n**2 - 8634*n - 6212163.
-3*(n + 1439)**2
Factor -3*b**2 - 3018*b - 3015.
-3*(b + 1)*(b + 1005)
Suppose 16*a**4 + 28*a**3 - 152*a**2 - 252*a + 72 = 0. Calculate a.
-3, -2, 1/4, 3
Determine m, given that -784*m**5 + 4144*m**4 - 8276*m**3 + 7904*m**2 - 3636*m + 648 = 0.
9/14, 1, 2
Factor -2*c**3 - 218*c**2 - 2990*c + 177450.
-2*(c - 21)*(c + 65)**2
Factor -18*u**2 - 1228*u - 272.
-2*(u + 68)*(9*u + 2)
Let -x**2/3 + x/3 + 2 = 0. What is x?
-2, 3
Factor 115*t**2 - 5745*t - 250.
5*(t - 50)*(23*t + 1)
Factor -3*f**3/2 - 12*f**2 - 15*f/2 + 75.
-3*(f - 2)*(f + 5)**2/2
Suppose -t**5 - 68*t**4 - 314*t**3 + 68*t**2 + 315*t = 0. Calculate t.
-63, -5, -1, 0, 1
Factor -y**3 + 1587*y**2 - 839523*y + 148035889.
-(y - 529)**3
What is f in -2*f**2/11 - 650*f/11 + 652/11 = 0?
-326, 1
Let 81*h**4 - 6372*h**3 + 4176*h**2 + 2832*h - 1872 = 0. What is h?
-2/3, 2/3, 78
Factor -6*x**3 + 87*x**2 - 396*x + 540.
-3*(x - 6)**2*(2*x - 5)
Solve 5*f**2 - 20*f + 15 = 0.
1, 3
Find d, given that 3*d**2/8 + 105*d/8 - 117/2 = 0.
-39, 4
Factor -q**2/2 + 771*q/2 - 1152.
-(q - 768)*(q - 3)/2
Solve 2*x**3/5 - 6*x**2/5 - 242*x/5 - 234/5 = 0 for x.
-9, -1, 13
Factor -2*k**4 - 10*k**3 + 304*k**2 - 840*k - 1152.
-2*(k - 6)**2*(k + 1)*(k + 16)
Factor -c**2/6 - 22*c.
-c*(c + 132)/6
Solve -2*r**3/21 - 4*r**2/3 + 190*r/21 = 0 for r.
-19, 0, 5
Determine u so that -10*u**4 + 2*u**3 = 0.
0, 1/5
Solve r**4/4 - 39*r**3/4 - 127*r**2/4 + 39*r/4 + 63/2 = 0.
-3, -1, 1, 42
Find a, given that a**4 - 56*a**3 - 58*a**2 + 56*a + 57 = 0.
-1, 1, 57
Factor 52*w**3/7 + 348*w**2/7 - 16*w.
4*w*(w + 7)*(13*w - 4)/7
Solve -2*r**2/3 + 680*r - 173400 = 0.
510
Determine j so that 4*j**3 - 32*j**2 - 148*j + 176 = 0.
-4, 1, 11
Solve 2*q**5/5 - 6*q**4/5 + 2*q**3/5 + 6*q**2/5 - 4*q/5 = 0 for q.
-1, 0, 1, 2
Find f such that -3*f**3 - 714*f**2 = 0.
-238, 0
Solve r**4/2 + 147*r**3/2 + 5473*r**2/2 + 5037*r/2 - 5329 = 0 for r.
-73, -2, 1
Factor 3*g**5 + 24*g**4 + 54*g**3 - 81*g.
3*g*(g - 1)*(g + 3)**3
Factor -8*a**5 + 20*a**4 - 12*a**3 - 4*a**2 + 4*a.
-4*a*(a - 1)**3*(2*a + 1)
Solve -2*w**5 - 46*w**4/3 + 928*w**3/9 - 56*w**2/3 - 832*w/9 + 128/3 = 0.
-12, -1, 2/3, 4
Determine o so that o**4/2 - 33*o**3/2 + 253*o**2/2 + 357*o/2 - 289 = 0.
-2, 1, 17
Find l, given that -9*l**4 + 408*l**3 - 919*l**2 + 692*l - 172 = 0.
2/3, 1, 43
Factor 75*q**4/4 + 165*q**3/4 - 42*q**2 + 9*q.
3*q*(q + 3)*(5*q - 2)**2/4
Let -3*x**5 - 24*x**4 + 183*x**3 - 156*x**2 = 0. What is x?
-13, 0, 1, 4
What is g in 3*g**3 + 51*g**2 - 3*g - 51 = 0?
-17, -1, 1
Find l such that l**3/4 + 4*l**2 + 5*l - 100 = 0.
-10, 4
Factor g**2 + 172*g + 7396.
(g + 86)**2
Let 2*i**2/3 - 334*i/3 - 112 = 0. Calculate i.
-1, 168
Solve -10*a**4/7 - 6*a**3 - 58*a**2/7 - 30*a/7 - 4/7 = 0.
-2, -1, -1/5
Let -44*t**3/9 - 370*t**2/9 + 676*t/9 - 80/3 = 0. Calculate t.
-10, 1/2, 12/11
Factor -6*r**2/5 + 3*r + 21/5.
-3*(r + 1)*(2*r - 7)/5
Let -f**4 - 23*f**3/4 + 27*f**2 - 81*f/4 = 0. Calculate f.
-9, 0, 1, 9/4
Solve -u**5/3 + 7*u**4/3 + 20*u**3/3 - 44*u**2 - 48*u = 0 for u.
-4, -1, 0, 6
What is s in -4*s**2/9 + 952*s/9 + 1952/3 = 0?
-6, 244
Let 3*h**3 + 12*h**2 - 3*h - 12 = 0. What is h?
-4, -1, 1
Factor -h**2/2 + 7392*h - 27320832.
-(h - 7392)**2/2
Suppose -4*p**3 + 32*p**2 - 44*p - 80 = 0. What is p?
-1, 4, 5
Factor 2*w**3 - 74*w**2 - 2*w + 74.
2*(w - 37)*(w - 1)*(w + 1)
Let 2*d**4/9 + 110*d**3/9 - 26*d**2 - 38*d = 0. Calculate d.
-57, -1, 0, 3
Factor -3*k**2 + 6594*k.
-3*k*(k - 2198)
Determine i, given that -5*i**3 + 30*i**2 + 675*i + 2000 = 0.
-5, 16
Factor -4*q**5 + 640*q**4 + 644*q**3.
-4*q**3*(q - 161)*(q + 1)
Factor -h**3 + 8*h**2 + 16*h - 128.
-(h - 8)*(h - 4)*(h + 4)
Factor -4*f**3 - 192*f**2 + 1036*f - 1272.
-4*(f - 3)*(f - 2)*(f + 53)
Determine q so that 9*q**5 - 17*q**4 - 19*q**3 + 69*q**2 - 58*q + 16 = 0.
-2, 8/9, 1
Factor -s**3/3 + 19*s**2/9 + 14*s/9.
-s*(s - 7)*(3*s + 2)/9
Let 5*o**3/2 - 56*o**2 - 71*o/2 + 23 = 0. Calculate o.
-1, 2/5, 23
Factor 3*v**2/2 + 771*v/2 + 765.
3*(v + 2)*(v + 255)/2
Determine n, given that -n**4/6 - 268*n**3/3 - 17956*n**2 - 4812208*n/3 - 161208968/3 = 0.
-134
Suppose 9*z**5 + 21*z**4 - 21*z**3 - 45*z**2 + 24*z + 12 = 0. Calculate z.
-2, -1/3, 1
Factor 4*s**2 - 8464*s + 4477456.
4*(s - 1058)**2
Find v such that 3*v**2 + 66*v - 405 = 0.
-27, 5
Let s**3/5 + 6*s**2/5 + s = 0. What is s?
-5, -1, 0
What is i in 3*i**4 - 78*i**2 + 75 = 0?
-5, -1, 1, 5
Suppose 2187*j**4/7 + 215055*j**3/7 + 284148*j**2/7 + 125904*j/7 + 18624/7 = 0. Calculate j.
-97, -4/9
Find l, given that 10*l**5/23 + 74*l**4/23 - 238*l**3/23 + 214*l**2/23 - 60*l/23 = 0.
-10, 0, 3/5, 1
Solve 4*h**4 - 72*h**3 = 0.
0, 18
Factor -2*b**4 + 1618*b**3 + 1620*b**2.
-2*b**2*(b - 810)*(b + 1)
Suppose -4*q**4 + 8*q**3 + 4*q**2 - 8*q = 0. What is q?
-1, 0, 1, 2
Factor 40*o**2 + 735*o + 2450.
5*(o + 14)*(8*o + 35)
Factor -s**2 - 1605*s - 1604.
-(s + 1)*(s + 1604)
Factor -5*w**4 - 240*w**3 - 1875*w**2 - 4760*w - 3120.
-5*(w + 1)*(w + 4)**2*(w + 39)
What is j in -j**3 + 1265*j**2 - 400688*j + 399424 = 0?
1, 632
Factor -p**2/3 - 265*p/3 - 88.
-(p + 1)*(p + 264)/3
Find n such that -3*n**2 - 150*n - 1875 = 0.
-25
Find y, given that 2*y**2/7 - 1312*y/7 + 215168/7 = 0.
328
Factor s**2/3 - 365*s/3 - 734/3.
(s - 367)*(s + 2)/3
Factor 3*y**2 - 63*y + 162.
3*(y - 18)*(y - 3)
Factor -33*u**2 - 18*u.
-3*u*(11*u + 6)
Factor -58*f**2/3 - 56*f/3.
-2*f*(29*f + 28)/3
Factor -4*d**5 - 96*d**4 - 848*d**3 - 3304*d**2 - 5292*d - 2744.
-4*(d + 1)*(d + 2)*(d + 7)**3
Solve 2*f**5/3 + 110*f**4/3 + 784*f**3/3 + 1504*f**2/3 = 0 for f.
-47, -4, 0
Factor -2*g**3/9 + 206*g**2/9 + 140*g/3.
-2*g*(g - 105)*(g + 2)/9
Determine c, given that c**2/8 - 3*c/2 + 9/2 = 0.
6
Factor -2*y**2/9 + 2*y/9.
-2*y*(y - 1)/9
Solve k**5/2 + 13*k**4/2 - 5*k**3/2 - 497*k**2/2 - 196*k + 2744 = 0.
-7, 4
Find i, given that -4*i**5/7 + 10*i**4 - 278*i**3/7 - 346*i**2/7 + 126*i - 324/7 = 0.
-2, 1/2, 1, 9
Suppose -5*n**2 - 95*n + 210 = 0. What is n?
-21, 2
Solve -4*i**2 + 324*i = 0.
0, 81
Suppose -2*c**4/9 - 10*c**3/9 + 40*c/9 + 32/9 = 0. Calculate c.
-4, -2, -1, 2
Suppose m**2 - 21*m + 38 = 0. Calculate m.
2, 19
Solve c**4 - 123*c**3/5 - 11*c**2 + 123*c/5 + 10 = 0.
-1, -2/5, 1, 25
Solve 2*b**5/13 - 26*b**4 + 17460*b**3/13 - 257732*b**2/13 + 464426*b/13 - 223818/13 = 0.
1, 21, 73
Factor u**3/5 + 1953*u**2/5 + 190515*u - 954529/5.
(u - 1)*(u + 977)**2/5
Factor -2*h**3/23 + 4*h**2/23 + 6*h/23.
-2*h*(h - 3)*(h + 1)/23
Factor -363*y**2/2 - 211*y/2 - 15.
-(3*y + 1)*(121*y + 30)/2
Determine f so that 6*f**4 - 8*f**3 - 14*f**2 + 8*f + 8 = 0.
-1, -2/3, 1, 2
Factor t**4/4 + t**3/4 - 17*t**2/4 + 15*t/4.
t*(t - 3)*(t - 1)*(t + 5)/4
Suppose -4*c**4 - 76*c**3 - 388*c**2 - 180*c + 648 = 0. What is c?
-9, -2, 1
Factor 2*m**2/11 - 192*m/11 + 4608/11.
2*(m - 48)**2/11
Suppose -m**5/9 + 14*m**4/3 - 49*m**3 = 0. What is m?
0, 21
Factor 2*j**5/17 - 56*j**4/17 + 584*j**3/17 - 2688*j**2/17 + 4608*j/17.
2*j*(j - 8)**2*(j - 6)**2/17
Factor 2*x**3/3 + 62*x**2/3 - 2*x/3 - 62/3.
2*(x - 1)*(x + 1)*(x + 31)/3
Solve -4*m**3/3 + 16*m**2 - 48*m = 0 for m.
0, 6
Suppose -k**2/3 + k + 10/3 = 0. What is k?
-2, 5
Factor -4*d**5/3 + 88*d**4/3 + 96*d**3 + 296*d**2/3 + 100*d/3.
-4*d*(d - 25)*(d + 1)**3/3
Let -3*v**3 - 57*v**2 - 294*v - 240 = 0. What is v?
-10, -8, -1
Solve -4*g**5/5 - 44*g**4/5 - 148*g**3/5 - 116*g**2/5 + 152*g/5 + 32 = 0 for g.
-5, -4, -2, -1, 1
Suppose h**5/3 - h**4 - 37*h**3/3 - 29*h**2/3 + 12*h + 32/3 = 0. Calculate h.
-4, -1, 1, 8
Suppose c**5/2 - 14*c**4 + 181*c**3/2 - 221*c**2 + 224*c - 80 = 0. What is c?
1, 2, 4, 20
Solve 3*o**5/5 - 6*o**4 - 198*o**3/5 + 336*o**2/5 + 1131*o/5 + 126 = 0 for o.
-5, -1, 3, 14
Factor h**2 - 5272*h + 6948496.
(h - 2636)**2
Factor -p**5 + 17*p**4 - 88*p**3 + 72*p**2 + 432*p - 432.
-(p - 6)**3*(p - 1)*(p + 2)
Determine n so that 3*n**3 - 45*n**2 - 1938*n = 0.
-19, 0, 34
Factor -3*q**3 + 168*q**2 - 327*q + 162.
-3*(q - 54)*(q - 1)**2
Factor l**4 + 4*l**3 - 3*l**2 - 14*l - 8.
(l - 2)*(l + 1)**2*(l + 4)
Suppose -3*s**4/5 - 41*s**3/5 + 17*s**2/5 + 41*s/5 - 14/5 = 0. Calculate s.
-14, -1, 1/3, 1
Suppose -3*l**4 - 9*l**3 - 3*l**2 + 