 676*h**2 + 22256*h + 183184 = 0.
-214/13
Solve -5*u**5 - 5*u**4 + 15*u**3 + 5*u**2 - 10*u = 0 for u.
-2, -1, 0, 1
Find l, given that 5*l**5 + 10*l**4 - 175*l**3 - 80*l**2 + 1700*l - 2000 = 0.
-5, 2, 4
Determine z so that -4*z**4 + 4*z**3 + 12*z**2 - 4*z - 8 = 0.
-1, 1, 2
What is c in 4*c**3 - 64*c**2 = 0?
0, 16
Factor 3*x**2 + 1176*x + 115248.
3*(x + 196)**2
Find n, given that 12*n**5 + 123*n**4 + 318*n**3 + 336*n**2 + 150*n + 21 = 0.
-7, -1, -1/4
Let -36*c**2 + 15384*c - 1643524 = 0. What is c?
641/3
Factor 15*t**2 + 39460*t - 13155.
5*(t + 2631)*(3*t - 1)
Factor a**4 - 453*a**3 + 452*a**2.
a**2*(a - 452)*(a - 1)
Determine i, given that 5*i**2 - 155*i + 1200 = 0.
15, 16
Factor -j**2/2 - 70*j + 142.
-(j - 2)*(j + 142)/2
Factor -3*s**3 - 3*s**2 + 6*s.
-3*s*(s - 1)*(s + 2)
What is f in f**4/6 + f**3/3 - 121*f**2/6 - f/3 + 20 = 0?
-12, -1, 1, 10
Factor -1395*v**2 - 10*v.
-5*v*(279*v + 2)
Find z such that 2*z**3/3 - 12*z**2 + 54*z = 0.
0, 9
Solve -4*l**2 - 3*l/2 + 13 = 0.
-2, 13/8
Let -4*f**5/7 + 32*f**4/7 - 20*f**3/7 - 200*f**2/7 = 0. What is f?
-2, 0, 5
Suppose -3*p**5 + 15*p**3 - 12*p = 0. Calculate p.
-2, -1, 0, 1, 2
Determine s so that -2*s**3/9 - 7*s**2/9 + 7*s/9 + 4/3 = 0.
-4, -1, 3/2
Factor 2*n**3/5 - 26*n**2/5 + 78*n/5 - 54/5.
2*(n - 9)*(n - 3)*(n - 1)/5
Suppose -2*y**5 + 4*y**4 + 18*y**3 - 4*y**2 - 16*y = 0. Calculate y.
-2, -1, 0, 1, 4
Determine r, given that 10*r**3 + 19*r**2 - 32*r + 3 = 0.
-3, 1/10, 1
Determine b, given that 5*b**2/4 - 205*b/4 + 360 = 0.
9, 32
Find p such that -3*p**3 + 99*p**2 - 765*p - 867 = 0.
-1, 17
Factor 2*f**5 - 8*f**4 + 4*f**3 + 8*f**2 - 6*f.
2*f*(f - 3)*(f - 1)**2*(f + 1)
Factor 3*t**2/4 - 21*t/4 - 6.
3*(t - 8)*(t + 1)/4
Determine o so that o**2 - 1338*o + 447561 = 0.
669
Determine q, given that -6*q**4 + 117*q**3 - 573*q**2 + 882*q - 312 = 0.
1/2, 2, 4, 13
What is b in -b**4/4 - 2*b**3 - 17*b**2/4 + b/2 + 6 = 0?
-4, -3, -2, 1
Determine v, given that -8*v**3 + 10*v**2 + 42*v = 0.
-7/4, 0, 3
Factor 42*s**2 + 99*s - 81.
3*(s + 3)*(14*s - 9)
Suppose -35*b**5 - 445*b**4 - 1500*b**3 - 180*b**2 + 2160*b = 0. Calculate b.
-6, -12/7, 0, 1
Suppose -45*d**4 - 960*d**3 - 1220*d**2 - 400*d = 0. Calculate d.
-20, -2/3, 0
Factor 3*c**2 - 624*c - 627.
3*(c - 209)*(c + 1)
Determine a, given that 5*a**3 - 185*a**2 - 220*a + 1140 = 0.
-3, 2, 38
Determine p so that 18*p**4 + 1335*p**3 - 5322*p**2 + 4692*p + 936 = 0.
-78, -1/6, 2
Factor -2*w**3/17 + 8*w**2/17 + 38*w/17 + 28/17.
-2*(w - 7)*(w + 1)*(w + 2)/17
Let -8*o**2 + 1620*o + 812 = 0. Calculate o.
-1/2, 203
Factor z**2/4 + 37*z/4 + 105/2.
(z + 7)*(z + 30)/4
Determine q, given that -2*q**4 - 1028*q**3 - 2050*q**2 - 1024*q = 0.
-512, -1, 0
Solve -3*i**3 - 2865*i**2 + 5739*i - 2871 = 0.
-957, 1
Factor 3*t**5 + 108*t**4 + 1539*t**3 + 10854*t**2 + 37908*t + 52488.
3*(t + 6)**3*(t + 9)**2
Factor 2*g**3/19 + 24*g**2/19 + 72*g/19.
2*g*(g + 6)**2/19
Factor 2*z**4 - 136*z**3 - 1788*z**2 + 3976*z - 2054.
2*(z - 79)*(z - 1)**2*(z + 13)
Factor 2*d**5/9 + 10*d**4/9 + 20*d**3/9 + 20*d**2/9 + 10*d/9 + 2/9.
2*(d + 1)**5/9
Let 3*i**2/8 - 21*i/8 - 3 = 0. Calculate i.
-1, 8
Factor 5*j**4 - 55*j**3 + 120*j**2 + 20*j - 160.
5*(j - 8)*(j - 2)**2*(j + 1)
Factor 2*c**3/7 + 324*c**2/7 + 15096*c/7 + 21904.
2*(c + 14)*(c + 74)**2/7
What is c in -4*c**2 - 72*c - 324 = 0?
-9
What is a in -2*a**4/3 - 4*a**3 - 8*a**2/3 + 4*a + 10/3 = 0?
-5, -1, 1
Suppose 2*r**4 + 54*r**3 - 6*r**2 - 158*r + 108 = 0. Calculate r.
-27, -2, 1
What is y in 5*y**3/6 - 25*y**2/2 + 60*y - 280/3 = 0?
4, 7
Find c, given that 20*c**4 - 115*c**3 + 70*c**2 + 265*c + 60 = 0.
-1, -1/4, 3, 4
Factor -w**4/3 - 154*w**3/3 - 2652*w**2 - 46818*w - 44217.
-(w + 1)*(w + 51)**3/3
Factor -2*o**2/9 + 4*o - 34/9.
-2*(o - 17)*(o - 1)/9
Factor -2*f**3/3 - 16*f**2/3 + 46*f/3 + 20.
-2*(f - 3)*(f + 1)*(f + 10)/3
Let 2*l**4/3 - 38*l**3/3 + 60*l**2 - 328*l/3 + 208/3 = 0. Calculate l.
2, 13
Factor -2*q**3/3 - 406*q**2/3 - 20806*q/3 - 20402/3.
-2*(q + 1)*(q + 101)**2/3
Factor -2*x**3/5 + 108*x**2/5 + 222*x/5 + 112/5.
-2*(x - 56)*(x + 1)**2/5
Factor 2*u**3/7 - 32*u**2/7 + 8*u.
2*u*(u - 14)*(u - 2)/7
Factor 2*r**2/11 - 64*r/11 - 210/11.
2*(r - 35)*(r + 3)/11
What is l in 3*l**5/8 - 3*l**4/8 - 15*l**3/8 - 9*l**2/8 = 0?
-1, 0, 3
Factor -6*b**2 + 946*b - 628.
-2*(b - 157)*(3*b - 2)
Find u, given that -u**2/4 - 9*u/4 - 5 = 0.
-5, -4
Solve 15*h**5 - 153*h**4 + 1302*h**3/5 + 228*h**2/5 - 648*h/5 - 192/5 = 0 for h.
-2/5, 1, 2, 8
Factor -2*b**4/3 - 8*b**3 - 14*b**2 - 20*b/3.
-2*b*(b + 1)**2*(b + 10)/3
Factor 4*d**5 - 4*d**4 - 48*d**3 - 16*d**2 + 64*d.
4*d*(d - 4)*(d - 1)*(d + 2)**2
Determine j, given that j**2/7 + 3*j/7 - 10/7 = 0.
-5, 2
Factor 5*o**2 + 20*o - 225.
5*(o - 5)*(o + 9)
Let -q**2 - 10*q + 24 = 0. Calculate q.
-12, 2
Factor -10*c**2 - 55*c - 70.
-5*(c + 2)*(2*c + 7)
Let -l**4/3 - 178*l**3/3 + 180*l**2 - 542*l/3 + 181/3 = 0. What is l?
-181, 1
Find n such that -4*n**5 + 32*n**4 - 60*n**3 - 32*n**2 + 64*n = 0.
-1, 0, 1, 4
Factor 25*l**4 - 370*l**3 - 1516*l**2 + 1384*l - 288.
(l - 18)*(l + 4)*(5*l - 2)**2
Factor 2*h**4/9 - 22*h**3/9 - 52*h**2/9.
2*h**2*(h - 13)*(h + 2)/9
Factor -4*a**4/3 + 24*a**3 - 160*a**2 + 1408*a/3 - 512.
-4*(a - 6)*(a - 4)**3/3
Factor -3*i**3 + 420*i**2 + 849*i + 426.
-3*(i - 142)*(i + 1)**2
Let -2*a**4 + 10*a**3 - 14*a**2 + 6*a = 0. What is a?
0, 1, 3
Factor 2*h**2 - 11*h/2 - 3/2.
(h - 3)*(4*h + 1)/2
What is i in -3*i**5/4 + 3*i**4/4 + 39*i**3/4 - 3*i**2/4 - 36*i - 27 = 0?
-2, -1, 3
Factor -20*q**4 - 1860*q**3 - 42305*q**2 + 43710*q - 11045.
-5*(q + 47)**2*(2*q - 1)**2
Let -3*n**4 + 129*n**3 - 756*n**2 = 0. Calculate n.
0, 7, 36
Determine t, given that t**4 + 8*t**3 - 72*t**2 + 160*t - 112 = 0.
-14, 2
Solve 2*s**5/19 - 4*s**4/19 - 12*s**3/19 + 8*s**2/19 + 26*s/19 + 12/19 = 0 for s.
-1, 2, 3
Let -o**3 + 792*o**2 - 209088*o + 18399744 = 0. Calculate o.
264
Find r such that 2*r**3/5 - 22*r**2/5 - 24*r/5 = 0.
-1, 0, 12
Find j, given that 2*j**4 + 2*j**3 - 6*j**2 - 2*j + 4 = 0.
-2, -1, 1
Find f such that -f**2 - 290*f - 21025 = 0.
-145
Factor -2*h**2/3 + 130*h/3 - 488/3.
-2*(h - 61)*(h - 4)/3
Factor r**4 - 8*r**3 + 18*r**2 - 16*r + 5.
(r - 5)*(r - 1)**3
Factor -3*w**4/2 + 3*w**3/2 + 24*w**2 - 24*w.
-3*w*(w - 4)*(w - 1)*(w + 4)/2
Factor n**5/2 + 23*n**4/2 - 25*n**3 + n**2 + 49*n/2 - 25/2.
(n - 1)**3*(n + 1)*(n + 25)/2
Find h, given that -5*h**4 - 215*h**3 + 5*h**2 + 215*h = 0.
-43, -1, 0, 1
Factor -2*q**2/5 - 58*q/5.
-2*q*(q + 29)/5
Factor 5*q**2 + 120*q + 720.
5*(q + 12)**2
Factor -5*v**4/2 - 5*v**3 + 30*v**2 + 100*v + 80.
-5*(v - 4)*(v + 2)**3/2
Find w such that 3*w**3 - 54*w**2 + 123*w + 180 = 0.
-1, 4, 15
Factor 25*f**3 - 1115*f**2 + 12760*f - 7260.
5*(f - 22)**2*(5*f - 3)
Factor 2*d**4/7 - 4*d**3/7 - 8*d**2/7 + 16*d/7.
2*d*(d - 2)**2*(d + 2)/7
Find j such that -4*j**2 - 3176*j - 630436 = 0.
-397
Determine h so that h**3/7 - 149*h**2/7 - 150*h/7 = 0.
-1, 0, 150
Factor 64516*v**2 - 4572*v + 81.
(254*v - 9)**2
What is f in 118*f**2 + 181*f + 6 = 0?
-3/2, -2/59
Find h, given that h**2/9 - 83*h/3 + 248/9 = 0.
1, 248
Let 3*x**2 + 237*x + 462 = 0. Calculate x.
-77, -2
Factor 3*a**3/2 + 279*a**2/2 - 726*a + 882.
3*(a - 3)*(a - 2)*(a + 98)/2
Factor 3*v**4 - 6*v**3 - 15*v**2 + 18*v.
3*v*(v - 3)*(v - 1)*(v + 2)
Factor -2*z**3 + 1128*z**2.
-2*z**2*(z - 564)
Suppose j**3 + j**2 - 6*j = 0. What is j?
-3, 0, 2
Suppose 4*g**5 + 6640*g**4 + 4408960*g**3 + 1463774720*g**2 + 242986603520*g + 16134310473728 = 0. Calculate g.
-332
Suppose 4*v**5 - 132*v**4 - 284*v**3 + 132*v**2 + 280*v = 0. What is v?
-2, -1, 0, 1, 35
Factor -i**2/6 + 11*i/2 + 17/3.
-(i - 34)*(i + 1)/6
Find m, given that 25*m**5/4 - 55*m**4 + 41*m**3 - 8*m**2 = 0.
0, 2/5, 8
Let -j**5/6 + 3*j**4/2 + 11*j**3/6 - 3*j**2/2 - 5*j/3 = 0. What is j?
-1, 0, 1, 10
Find q such that q**4/3 - 2*q**3/3 - 311*q**2/3 + 104*q + 8112 = 0.
-12, 13
Factor 6036849*b**2/4 - 2457*b + 1.
(2457*b - 2)**2/4
Solve 140*g**2 - 275*g - 10 = 0.
-1/28, 2
Solve -t**2/6 + 19*t/6 + 25 = 0 for t.
-6, 25
Solve s**3/4 + 15*s**2/2 + 137*s/4 - 42 = 0 for s.
-24, -7, 1
Factor p**5/4 - 3*p**4/4 - p**3/4 + 11*p**2/4 - 3*p + 1.
(p - 2)*(p - 1)**3*(p + 2)/4
Factor 17*m**2/6 + 491*m/6 - 29/3.
(m + 29)*(17*m - 2)/6
Suppose -t**5 + 6*t**4 + t**3 - 6*t**2 = 0. Calculate t.
-1, 0, 1, 6
Factor -v**2/3 + 3*v + 10/3.
-(v - 10)*(v + 1)/