*(w + 4)*(w + 5)
Solve -3*n**5 + 12*n**4 + 21*n**3 - 30*n**2 = 0.
-2, 0, 1, 5
Solve 4*y**4/9 + 12*y**3 + 604*y**2/9 - 12*y - 608/9 = 0.
-19, -8, -1, 1
Determine u, given that -6*u**5/11 - 182*u**4/11 - 708*u**3/11 + 11448*u**2/11 + 3888*u/11 = 0.
-18, -1/3, 0, 6
Determine v so that -2*v**4 - 104*v**3 - 1836*v**2 - 11560*v - 9826 = 0.
-17, -1
Factor 3*b**5 + 6*b**4 - 9*b**3.
3*b**3*(b - 1)*(b + 3)
What is s in 5*s**2/2 + 15495*s/2 + 7745 = 0?
-3098, -1
Factor -3*s**3 + 354*s**2 + 357*s.
-3*s*(s - 119)*(s + 1)
Factor l**3/3 + 47*l**2/3 + 85*l + 123.
(l + 3)**2*(l + 41)/3
Factor 5*k**5 + 15*k**4 + 15*k**3 + 5*k**2.
5*k**2*(k + 1)**3
Determine v, given that 14*v**4 + 40*v**3 - 122*v**2 - 172*v + 240 = 0.
-4, -2, 1, 15/7
Find a such that -3*a**4 + 150*a**3 - 2016*a**2 + 3456*a = 0.
0, 2, 24
Factor -4*v**2 + 6084*v.
-4*v*(v - 1521)
Factor -m**4 - 11*m**3 - 18*m**2.
-m**2*(m + 2)*(m + 9)
Solve -n**4/4 - 9*n**3/4 - 7*n**2/4 + 9*n/4 + 2 = 0.
-8, -1, 1
Determine u, given that 35*u**2 - 95*u - 30 = 0.
-2/7, 3
Solve -4*r**2 + 60*r + 64 = 0 for r.
-1, 16
Let 2*i**5 - 3*i**4 - 13*i**3 + 9*i**2 + 11*i - 6 = 0. What is i?
-2, -1, 1/2, 1, 3
Suppose -2*y**4/11 + 30*y**3/11 - 126*y**2/11 + 98*y/11 = 0. What is y?
0, 1, 7
Factor 2*n**2/17 - 172*n/17 + 3698/17.
2*(n - 43)**2/17
Solve -414*u**2/7 - 418*u/7 - 4/7 = 0 for u.
-1, -2/207
Solve 1250*b**5/19 + 10400*b**4/19 + 19482*b**3/19 + 12956*b**2/19 + 2816*b/19 + 192/19 = 0.
-6, -1, -4/25
Find w, given that 48*w**5/7 - 1156*w**4/7 + 8732*w**3/7 - 2832*w**2 + 880*w/7 + 1600/7 = 0.
-1/4, 1/3, 4, 10
Determine z, given that -2*z**2 + 152*z - 1088 = 0.
8, 68
Factor 5929*k**3/2 + 5621*k**2/2 - 152*k + 2.
(k + 1)*(77*k - 2)**2/2
Solve 2*f**5 - 18*f**4 + 16*f**3 + 184*f**2 - 192*f - 640 = 0.
-2, 4, 5
What is w in 2*w**2/7 - 25356*w/7 + 80365842/7 = 0?
6339
Factor -3*b**2 - 39*b - 66.
-3*(b + 2)*(b + 11)
Factor h**4/3 - 128*h**3 + 12029*h**2 + 149380*h/3 + 37636.
(h - 194)**2*(h + 1)*(h + 3)/3
Determine x so that 2*x**4/11 + 84*x**3/11 + 882*x**2/11 = 0.
-21, 0
Factor -c**3/3 - 7*c**2 + 8*c + 44/3.
-(c - 2)*(c + 1)*(c + 22)/3
Factor 4*y**4/5 - 8*y**3 + 96*y**2/5.
4*y**2*(y - 6)*(y - 4)/5
Let 2*q**3 + 52*q**2 - 814*q = 0. Calculate q.
-37, 0, 11
Solve -3*j**2 - 3*j + 60 = 0 for j.
-5, 4
Factor -3*d**3 + 228*d**2 + 249*d - 1386.
-3*(d - 77)*(d - 2)*(d + 3)
Let -12*p**3/5 + 164*p**2/5 - 292*p/5 + 28 = 0. Calculate p.
1, 35/3
Find o, given that -4*o**4 + 864*o**3 - 49172*o**2 + 271320*o - 352800 = 0.
2, 4, 105
Solve -2*i**4/7 - 13*i**3/7 - 16*i**2/7 - 5*i/7 = 0.
-5, -1, -1/2, 0
Suppose 3*r**2/4 + 6*r + 12 = 0. Calculate r.
-4
Determine o, given that -o**3/9 + 364*o**2/9 - 725*o/9 + 362/9 = 0.
1, 362
Find p such that -2*p**5/3 - 2*p**4/3 + 8*p**3/3 + 8*p**2/3 = 0.
-2, -1, 0, 2
Let m**2/3 - 9880*m/3 + 24403600/3 = 0. What is m?
4940
Suppose 7*k**5/2 + 387*k**4/2 + 3715*k**3/2 + 10725*k**2/2 + 4619*k + 924 = 0. What is k?
-44, -7, -3, -1, -2/7
Factor j**2 + 880*j + 193600.
(j + 440)**2
Suppose -4*n**4 + 84*n**3 - 292*n**2 + 348*n - 136 = 0. Calculate n.
1, 2, 17
Factor -4*q**2 + 36*q + 88.
-4*(q - 11)*(q + 2)
Factor -h**4/4 + 39*h**3/4 + 167*h**2/4 + 213*h/4 + 43/2.
-(h - 43)*(h + 1)**2*(h + 2)/4
Suppose -45*w**5/4 + 185*w**4/4 + 35*w**3/2 - 275*w**2/2 - 345*w/4 + 45/4 = 0. What is w?
-1, 1/9, 3
Factor -2*i**5/7 + 4*i**4/7 + 2*i**3 + 8*i**2/7.
-2*i**2*(i - 4)*(i + 1)**2/7
Suppose -2*i**2/9 + 20*i/3 + 62/9 = 0. What is i?
-1, 31
Solve 12*w**4 + 147*w**3 + 144*w**2 - 237*w - 66 = 0.
-11, -2, -1/4, 1
Factor -2*u**2 - 52*u - 138.
-2*(u + 3)*(u + 23)
Factor -3*z**4/2 + 21*z**3/2 - 45*z**2/2 + 39*z/2 - 6.
-3*(z - 4)*(z - 1)**3/2
Solve -2*g**2/5 - 78*g/5 + 16 = 0.
-40, 1
Suppose -2*s**3/5 - 6*s**2/5 + 36*s/5 = 0. Calculate s.
-6, 0, 3
Factor 3*b**3/4 + 99*b**2/4.
3*b**2*(b + 33)/4
Factor -3*h**5 + 12*h**3 + 6*h**2 - 9*h - 6.
-3*(h - 2)*(h - 1)*(h + 1)**3
Factor -y**3 + 206*y**2 + 1051*y + 844.
-(y - 211)*(y + 1)*(y + 4)
Suppose -4*w**2/9 - 36040*w/9 - 81180100/9 = 0. What is w?
-4505
Determine k so that -4*k**3 + 212*k**2 - 2464*k - 9408 = 0.
-3, 28
What is f in -4*f**5 - 20*f**4 + 32*f**3 + 48*f**2 = 0?
-6, -1, 0, 2
Let -b**3/4 + b**2 + 11*b/4 + 3/2 = 0. Calculate b.
-1, 6
Solve v**2/4 - 1 = 0 for v.
-2, 2
Suppose 2*w**5 - 204*w**4/5 + 90*w**3 - 328*w**2/5 + 72*w/5 = 0. What is w?
0, 2/5, 1, 18
Solve -4*o**4 - 132*o**3 + 136*o**2 = 0.
-34, 0, 1
Factor 3*z**5/7 - 9*z**3/7 - 6*z**2/7.
3*z**2*(z - 2)*(z + 1)**2/7
Determine f so that 3*f**5 + 27*f**4 - 9*f**3 - 75*f**2 + 54*f = 0.
-9, -2, 0, 1
Factor m**4/2 - 59*m**3/3 + 222*m**2 - 540*m.
m*(m - 18)**2*(3*m - 10)/6
Suppose -4*j**2 + 52*j - 168 = 0. Calculate j.
6, 7
Find w, given that -20*w**2 + 2885*w - 720 = 0.
1/4, 144
Factor 4*s**4/3 - 56*s**3 + 1588*s**2/3 + 1232*s + 1936/3.
4*(s - 22)**2*(s + 1)**2/3
Let -5*v**5 - 770*v**4 - 3010*v**3 - 1480*v**2 + 3015*v + 2250 = 0. Calculate v.
-150, -3, -1, 1
Find i, given that 5*i**4 - 90*i**3 + 165*i**2 - 80*i = 0.
0, 1, 16
Factor -9*g**3 - 1371*g**2 + 921*g + 459.
-3*(g - 1)*(g + 153)*(3*g + 1)
Factor t**3/2 - 13*t**2/2 + 8*t + 96.
(t - 8)**2*(t + 3)/2
Find z, given that 4*z**2 - 116*z + 112 = 0.
1, 28
Solve m**3/5 + 3*m**2/5 - 2*m = 0 for m.
-5, 0, 2
What is j in -7*j**2/8 - 17*j/4 - 5 = 0?
-20/7, -2
Factor -b**5/3 + 20*b**4 - 958*b**3/3 + 580*b**2 - 841*b/3.
-b*(b - 29)**2*(b - 1)**2/3
Determine w so that 2*w**2 + 272*w + 1056 = 0.
-132, -4
Factor 2*k**5/3 - 8*k**4/3 + 10*k**3/3 - 4*k**2/3.
2*k**2*(k - 2)*(k - 1)**2/3
Suppose 3*m**2/4 - 39*m/2 = 0. Calculate m.
0, 26
Factor 3*z**2/2 + 9*z/2 - 690.
3*(z - 20)*(z + 23)/2
Let 169*c**4/6 - 91*c**3/2 + 20*c**2 - 8*c/3 = 0. What is c?
0, 4/13, 1
Solve -4*f**5 + 16*f**4 - 4*f**3 - 56*f**2 + 80*f - 32 = 0.
-2, 1, 2
Suppose -2*b**3 - 4536*b**2 + 13622*b - 9084 = 0. Calculate b.
-2271, 1, 2
Factor 3*n**2 + 186*n - 1680.
3*(n - 8)*(n + 70)
Solve -405*r**4 + 5085*r**3 - 14690*r**2 - 7300*r - 840 = 0 for r.
-2/9, 6, 7
Let 30*i**2 - 2*i - 4 = 0. Calculate i.
-1/3, 2/5
Factor -4*c**4/3 + 652*c**3/3 - 10472*c**2 + 605968*c/3 - 4131424/3.
-4*(c - 97)*(c - 22)**3/3
Factor -12*b**4/17 + 22*b**3/17 - 10*b**2/17.
-2*b**2*(b - 1)*(6*b - 5)/17
Factor 2*u**2/3 + 62*u.
2*u*(u + 93)/3
Solve -2*f**4/7 + 38*f**3/7 - 66*f**2/7 - 38*f/7 + 68/7 = 0.
-1, 1, 2, 17
Factor x**4 - 309*x**3 + 24630*x**2 - 117344*x + 138624.
(x - 152)**2*(x - 3)*(x - 2)
Let 2*z**5/5 + 62*z**4/5 - 274*z**3/5 + 42*z**2 = 0. What is z?
-35, 0, 1, 3
Factor 5*r**4/6 - 670*r**3/3 + 22445*r**2 - 3007630*r/3 + 100755605/6.
5*(r - 67)**4/6
Factor -3*j**4/7 - 69*j**3/7 + 150*j**2/7.
-3*j**2*(j - 2)*(j + 25)/7
Suppose f**2/5 - 314*f/5 + 24649/5 = 0. Calculate f.
157
Factor 2*l**2/5 + 22*l/5 - 484/5.
2*(l - 11)*(l + 22)/5
Determine x so that -6*x**2/7 - 244*x/7 + 82/7 = 0.
-41, 1/3
Factor -12*w**2 - 28*w - 16.
-4*(w + 1)*(3*w + 4)
Factor -l**4/4 - 99*l**3/2 + 102*l**2 + 400*l.
-l*(l - 4)*(l + 2)*(l + 200)/4
Factor -2*r**3 + 136*r**2 + 570*r + 432.
-2*(r - 72)*(r + 1)*(r + 3)
Determine u so that 3*u**2/2 + 3*u/2 = 0.
-1, 0
Solve 14*t**5/5 - 124*t**4/5 + 404*t**3/5 - 120*t**2 + 414*t/5 - 108/5 = 0 for t.
6/7, 1, 3
Factor -4*l**3/7 - 80*l**2/7 - 300*l/7.
-4*l*(l + 5)*(l + 15)/7
Factor b**4/5 - 4*b**3/5 - 2*b**2 + 28*b/5 - 3.
(b - 5)*(b - 1)**2*(b + 3)/5
Determine p, given that -p**5/6 - 181*p**4/3 + 487*p**3/2 - 551*p**2/3 - 730*p/3 + 244 = 0.
-366, -1, 1, 2
Factor -q**3/6 + 361*q**2/6 + 725*q/6 + 121/2.
-(q - 363)*(q + 1)**2/6
Factor y**4/4 + y**3/2 + y**2/4.
y**2*(y + 1)**2/4
Let -256*t**2 - 448*t - 196 = 0. Calculate t.
-7/8
Factor 4*x**2 - 1056*x + 2096.
4*(x - 262)*(x - 2)
Find d, given that -6*d**5/17 + 8*d**4 + 520*d**3/17 + 20*d**2/17 - 514*d/17 - 156/17 = 0.
-3, -1, -1/3, 1, 26
What is h in -3*h**2/5 + 228*h/5 - 2457/5 = 0?
13, 63
Let -2*k**4/7 + 22*k**2/7 + 36*k/7 + 16/7 = 0. What is k?
-2, -1, 4
Find x such that -5*x**4 - 30*x**3 + 60*x**2 + 190*x + 105 = 0.
-7, -1, 3
Factor -2*u**2/3 - 52*u/3.
-2*u*(u + 26)/3
Suppose 5*t**4/2 - 70*t**3 + 245*t**2/2 + 195*t = 0. What is t?
-1, 0, 3, 26
Factor -18*y**4 - 21*y**3 - 6*y**2.
-3*y**2*(2*y + 1)*(3*y + 2)
Suppose 27*a**4/5 - 120*a**3 - 2568*a**2/5 - 2208*a/5 + 624/5 = 0. What is a?
-2, 2/9, 26
Solve -5*g**5/4 - 183*g**4/4 - 223*g**3/2 - 33*g**2 + 34*g = 0 for g.
-34, -2, -1, 0, 2/5
Factor -3*c**2 - 267*