 + 59415*h**3 + 108655*h**2 + 48480*h + 6300 = 0. Calculate h.
-35, -3, -2/7
What is v in v**2 - 176*v + 7744 = 0?
88
Factor -20*r**3 - 8*r**2 + 20*r + 8.
-4*(r - 1)*(r + 1)*(5*r + 2)
Let 9*w**3 + 138*w**2 + 471*w - 378 = 0. Calculate w.
-9, -7, 2/3
Factor 122*w**3 + 24*w**2 - 122*w - 24.
2*(w - 1)*(w + 1)*(61*w + 12)
Suppose 15*j**5 - 145*j**4 + 505*j**3 - 715*j**2 + 240*j + 180 = 0. Calculate j.
-1/3, 2, 3
Factor 35*l**2 - 500*l + 140.
5*(l - 14)*(7*l - 2)
Factor 2*z**2 - 534*z + 1060.
2*(z - 265)*(z - 2)
Solve -5*w**5 + 45*w**4 - 115*w**3 + 15*w**2 + 180*w = 0.
-1, 0, 3, 4
Find k such that -20*k**5/3 + 31*k**4/3 + 77*k**3/3 + 29*k**2/3 + k = 0.
-1, -1/4, -1/5, 0, 3
Let -5*j**2 + 9635*j - 9630 = 0. Calculate j.
1, 1926
Factor -n**4 + 58*n**3 - 1201*n**2 + 10440*n - 32400.
-(n - 20)**2*(n - 9)**2
Factor 8*z**3/9 + 38*z**2/9 + 10*z/9 - 56/9.
2*(z - 1)*(z + 4)*(4*z + 7)/9
Factor 2*u**4/5 + 54*u**3/5 + 528*u**2/5 + 2176*u/5 + 3072/5.
2*(u + 3)*(u + 8)**3/5
Factor 3*c**3 - 243*c**2 - 246*c.
3*c*(c - 82)*(c + 1)
Find q, given that 2*q**5/9 - 26*q**4/9 - 10*q**3/3 + 26*q**2/9 + 28*q/9 = 0.
-1, 0, 1, 14
Factor 882*y**5 - 3696*y**4 + 4208*y**3 - 704*y**2 + 32*y.
2*y*(y - 2)**2*(21*y - 2)**2
Factor -2*u**3/19 - 672*u**2/19 - 75264*u/19 - 2809856/19.
-2*(u + 112)**3/19
Solve -q**3/4 + 79*q**2/2 - 467*q/4 + 155/2 = 0 for q.
1, 2, 155
Solve -l**2/2 + 61*l/2 - 437 = 0 for l.
23, 38
Solve -22*j**3 + 150*j**2 - 104*j - 24 = 0 for j.
-2/11, 1, 6
Solve 2*a**2/7 + 268*a/7 = 0.
-134, 0
Factor -2*d**4/13 - 2*d**3/13 + 2*d**2/13 + 2*d/13.
-2*d*(d - 1)*(d + 1)**2/13
Determine y so that 5*y**3 - 860*y**2 - 1735*y - 870 = 0.
-1, 174
Let 20*v**4 + 72*v**3 - 132*v**2 + 40*v = 0. Calculate v.
-5, 0, 2/5, 1
Find n, given that 3*n**2/4 + 267*n/2 + 23763/4 = 0.
-89
Find k such that 2*k**3/13 + 22*k**2/13 + 30*k/13 - 54/13 = 0.
-9, -3, 1
Factor 2*z**2/11 + 18*z/11 - 72/11.
2*(z - 3)*(z + 12)/11
Let -754*y**2/3 - 502*y + 4/3 = 0. What is y?
-2, 1/377
Factor -3*v**2/5 + 198*v - 987/5.
-3*(v - 329)*(v - 1)/5
Factor -c**4/4 - c**3 + 8*c**2.
-c**2*(c - 4)*(c + 8)/4
What is h in h**4/4 + h**3 + 3*h**2/4 - h - 1 = 0?
-2, -1, 1
Factor g**3/5 - 60*g**2 + 6000*g - 200000.
(g - 100)**3/5
Suppose 2*s**5/3 + 13*s**4/3 - 3*s**3 - 13*s**2/3 + 7*s/3 = 0. Calculate s.
-7, -1, 0, 1/2, 1
Let 2*i**2/13 + 70*i/13 + 132/13 = 0. Calculate i.
-33, -2
Factor -q**2/3 - 80*q - 239/3.
-(q + 1)*(q + 239)/3
Let 5*o**2 - 75*o + 220 = 0. What is o?
4, 11
Factor -2*x**4/9 + 50*x**3/3 - 962*x**2/3 + 2738*x/9.
-2*x*(x - 37)**2*(x - 1)/9
Factor 4*c**2 + 432*c + 11664.
4*(c + 54)**2
Let 2*b**4/15 + 2*b**3/15 = 0. What is b?
-1, 0
Factor 2*u**3/7 - 8952*u**2/7 + 13356384*u/7 - 6642574976/7.
2*(u - 1492)**3/7
Factor -2*d**2 + 106*d + 708.
-2*(d - 59)*(d + 6)
Factor u**2 + 252*u + 15876.
(u + 126)**2
Determine p, given that p**4/2 + 9*p**3 - p**2/2 - 9*p = 0.
-18, -1, 0, 1
Determine h, given that -3*h**2 + 39*h = 0.
0, 13
Let k**2/8 - 11*k/8 + 3 = 0. Calculate k.
3, 8
Suppose -3*a**5/5 + 141*a**4/5 + 756*a**3/5 + 1236*a**2/5 + 624*a/5 = 0. Calculate a.
-2, -1, 0, 52
Factor -2*r**3 - 214*r**2 - 832*r - 824.
-2*(r + 2)**2*(r + 103)
Factor 21*z**2/4 - 494*z + 47.
(z - 94)*(21*z - 2)/4
Factor -r**3/2 + r**2 + 21*r/2 + 9.
-(r - 6)*(r + 1)*(r + 3)/2
Factor 5*f**4 + 125*f**3 - 710*f**2 + 1180*f - 600.
5*(f - 2)**2*(f - 1)*(f + 30)
Factor 4*w**4/9 + 16*w**3/9 - 8*w**2/3 - 16*w/9 + 20/9.
4*(w - 1)**2*(w + 1)*(w + 5)/9
Factor n**2/9 + 25*n.
n*(n + 225)/9
Factor -3*s**2 + 129*s - 126.
-3*(s - 42)*(s - 1)
Solve 5*i**2 + 50*i + 125 = 0.
-5
Factor -n**3/3 + 19*n**2/3 + n/3 - 19/3.
-(n - 19)*(n - 1)*(n + 1)/3
Factor -3*f**3 - 63*f**2 + 3*f + 63.
-3*(f - 1)*(f + 1)*(f + 21)
Factor -4*b**2/7 + 216*b/7 + 244.
-4*(b - 61)*(b + 7)/7
Factor 3584*r**3 - 64*r**2 + 2*r/7.
2*r*(112*r - 1)**2/7
Solve -2*o**4/3 + 64*o**3/3 - 50*o**2/3 - 124*o = 0 for o.
-2, 0, 3, 31
Factor -3*z**4 + 231*z**3 - 675*z**2 + 669*z - 222.
-3*(z - 74)*(z - 1)**3
Let 4*p**3 + 292*p**2 = 0. Calculate p.
-73, 0
Factor 3*i**4 - 570*i**3 - 573*i**2.
3*i**2*(i - 191)*(i + 1)
Factor -2*g**4/9 + 20*g**3/3 - 56*g**2/3 - 8624*g/9 + 21952/3.
-2*(g - 14)**3*(g + 12)/9
Factor -l**3 - 25*l**2 + 181*l - 155.
-(l - 5)*(l - 1)*(l + 31)
Solve -2*u**2 - 248*u - 7688 = 0.
-62
Find z such that 2*z**3/5 - 2*z**2/5 - 12*z/5 = 0.
-2, 0, 3
Let 4*a**5/7 - 16*a**4/7 + 8*a**3/7 + 16*a**2/7 - 12*a/7 = 0. Calculate a.
-1, 0, 1, 3
Factor -9*o**3 + 48*o**2 - 9*o - 30.
-3*(o - 5)*(o - 1)*(3*o + 2)
Factor -m**3 - 39*m**2 + 316*m - 276.
-(m - 6)*(m - 1)*(m + 46)
Let -2*a**3/11 - 18*a**2/11 + 42*a/11 - 2 = 0. What is a?
-11, 1
Factor r**4/3 + 1814*r**3/3 - 3631*r**2/3 + 1816*r/3.
r*(r - 1)**2*(r + 1816)/3
Factor 3*l**2 - 60*l + 153.
3*(l - 17)*(l - 3)
Find d, given that -3*d**2 - 13452*d - 15079692 = 0.
-2242
What is f in f**4/4 - 357*f**3/4 - 359*f**2/4 + 357*f/4 + 179/2 = 0?
-1, 1, 358
Factor l**2/4 - 9/4.
(l - 3)*(l + 3)/4
Factor -k**4/4 + 5*k**3 + 207*k**2/4 - 243*k/2.
-k*(k - 27)*(k - 2)*(k + 9)/4
Factor -2*i**2/3 + 1462*i/3 - 1460/3.
-2*(i - 730)*(i - 1)/3
Let 3*g**5 + 54*g**4 + 111*g**3 - 1188*g**2 + 1452*g = 0. What is g?
-11, 0, 2
Factor t**3/10 + 131*t**2/10 + 871*t/2 + 845/2.
(t + 1)*(t + 65)**2/10
Solve -2*h**5/13 + 178*h**4/13 + 14*h**3/13 - 1234*h**2/13 - 1068*h/13 = 0 for h.
-2, -1, 0, 3, 89
Let 2*y**5/17 - 1490*y**4/17 + 444020*y**3/17 - 66158980*y**2/17 + 4928844010*y/17 - 146879551498/17 = 0. Calculate y.
149
Factor 12*z**4 - 27*z**3 + 18*z**2 - 3*z.
3*z*(z - 1)**2*(4*z - 1)
Factor w**3/5 + 11*w**2/5 + 2*w.
w*(w + 1)*(w + 10)/5
Factor 3*n**2 + 1017*n - 5160.
3*(n - 5)*(n + 344)
Let -2*f**4/13 + 272*f**3/13 + 1114*f**2/13 + 840*f/13 = 0. What is f?
-3, -1, 0, 140
What is w in 3*w**2/5 - 28176*w/5 + 66157248/5 = 0?
4696
Factor m**4 + 5*m**3 - 22*m**2 + 16*m.
m*(m - 2)*(m - 1)*(m + 8)
Factor 5*h**2/4 - 20*h.
5*h*(h - 16)/4
Suppose f**2/3 + 15*f - 46/3 = 0. Calculate f.
-46, 1
What is c in -10*c**3/11 - 124*c**2/11 - 158*c/11 - 4 = 0?
-11, -1, -2/5
Factor 4*x**5 - 100*x**4 + 40*x**3 + 6840*x**2 + 27540*x + 31212.
4*(x - 17)**2*(x + 3)**3
Determine h so that 9*h**4 + 48*h**3 + 36*h**2 - 48*h = 0.
-4, -2, 0, 2/3
Factor j**3/8 + 2*j**2 + 55*j/8.
j*(j + 5)*(j + 11)/8
Factor -2*u**3/7 - 82*u**2/7 - 636*u/7 + 720/7.
-2*(u - 1)*(u + 12)*(u + 30)/7
Determine f so that -2*f**4/3 + 3*f**3 - 4*f**2/3 = 0.
0, 1/2, 4
Determine v, given that -v**2/5 - 102*v/5 = 0.
-102, 0
What is i in 3*i**5/4 - 2*i**4 - 17*i**3/4 + i**2/2 + 2*i = 0?
-1, 0, 2/3, 4
Factor u**2/6 - 403*u + 487227/2.
(u - 1209)**2/6
Factor -3*d**2/8 + 3561*d/4 + 7125/8.
-3*(d - 2375)*(d + 1)/8
Find q, given that q**3 - 208*q**2 - 419*q - 210 = 0.
-1, 210
Factor 7*t**2 + 86*t + 24.
(t + 12)*(7*t + 2)
Factor -5*b**5/6 + 20*b**4/3 - 25*b**3/2.
-5*b**3*(b - 5)*(b - 3)/6
Factor 2*k**4 + 978*k**3 + 238141*k**2/2 - 119805*k + 60025/2.
(k + 245)**2*(2*k - 1)**2/2
Determine o, given that -9*o**5/5 + 12*o**4/5 + 6*o**3/5 - 12*o**2/5 + 3*o/5 = 0.
-1, 0, 1/3, 1
Factor b**2 - 980*b + 979.
(b - 979)*(b - 1)
Solve -10*l**2 - 3034*l/3 - 404/3 = 0 for l.
-101, -2/15
Suppose -2*o**2/5 - 408*o/5 = 0. What is o?
-204, 0
Determine c, given that -2*c**2/3 + 158*c/3 - 672 = 0.
16, 63
Factor w**5/10 - 3*w**4/10 - 2*w**3/5.
w**3*(w - 4)*(w + 1)/10
Factor -4*n**2/3 + 136*n/3.
-4*n*(n - 34)/3
Factor -c**3/3 - 14*c**2/3 + 20*c/3 + 200.
-(c - 6)*(c + 10)**2/3
Let -2*g**4/17 - 60*g**3/17 - 594*g**2/17 - 1936*g/17 = 0. Calculate g.
-11, -8, 0
Factor -3*s**3/5 + 609*s**2/5 - 6120*s - 31212/5.
-3*(s - 102)**2*(s + 1)/5
What is o in 2*o**4/7 - 16*o**3/7 - 48*o**2 - 576*o/7 + 2592/7 = 0?
-6, 2, 18
Factor 5*b**2 - 1715*b + 1710.
5*(b - 342)*(b - 1)
Factor -l**5 + 22*l**4 - 140*l**3 + 200*l**2.
-l**2*(l - 10)**2*(l - 2)
Factor -2*a**3/9 - 54*a**2 - 9760*a/3 + 29768/9.
-2*(a - 1)*(a + 122)**2/9
Find x, given that -x**2 - 49*x - 94 = 0.
-47, -2
What is d in -2*d**2 - 28*d + 352 = 0?
-22, 8
Determine b so that -6*b**4/13 - 22*b**3/13 + 122*b**2/13 - 122*b/13 + 28/13 = 0.
-7, 1/3, 1, 2
Factor -3*t**4 - 948*t**3 - 73938*t**2 + 150732*t - 75843.
-3*(t - 1)**2*(t + 159)**2
Solve 2*h**5/11 + 10*h**4/11 - 106*h**3/11 - 26*h**2/11 + 320*h/11 - 200/11 = 0.
-10, -2, 1, 5
Suppose 3*x**5 - 18*x**4 - 144*x**3 - 222*x**2 - 99*x = 0. What is x?
-3, -1, 0, 11
Determine s, given tha