)**3
Factor 5*c**2 - 2160*c + 233280.
5*(c - 216)**2
Solve 2*b**4/15 + 4*b**3/3 + 16*b**2/5 + 44*b/15 + 14/15 = 0 for b.
-7, -1
Factor -44*i**3 + 360*i**2 + 332*i - 72.
-4*(i - 9)*(i + 1)*(11*i - 2)
Solve 4*p**5/3 + 49*p**4 - 553*p**3/3 - 1331*p**2/3 - 145*p + 200/3 = 0 for p.
-40, -1, 1/4, 5
Solve 2*g**5/7 - 12*g**4/7 - 32*g**3/7 + 148*g**2/7 - 162*g/7 + 8 = 0.
-4, 1, 7
Solve c**2/6 - 79*c/6 + 13 = 0.
1, 78
Suppose -5*h**2 + 1660*h - 1655 = 0. Calculate h.
1, 331
Suppose 2*r**3/11 - 48*r**2/11 + 72*r/11 + 32 = 0. Calculate r.
-2, 4, 22
Let -w**3 - 47*w**2 - 44*w + 92 = 0. Calculate w.
-46, -2, 1
Factor x**4/5 + x**3/5 - 6*x**2/5.
x**2*(x - 2)*(x + 3)/5
Factor t**5/3 - 4*t**4 + 16*t**3 - 80*t**2/3 + 16*t.
t*(t - 6)*(t - 2)**3/3
Solve -3*i**5/4 - 735*i**4/2 - 2925*i**3/2 - 2190*i**2 - 5835*i/4 - 729/2 = 0 for i.
-486, -1
Factor 5*p**3 - 50*p**2 + 115*p - 70.
5*(p - 7)*(p - 2)*(p - 1)
Let l**4/2 - l**3 - 35*l**2/2 = 0. What is l?
-5, 0, 7
Factor 7*z**2/4 + 3*z - 1.
(z + 2)*(7*z - 2)/4
Factor -4*n**3 - 28*n**2.
-4*n**2*(n + 7)
Factor z**3/2 + 11*z**2/8 - 19*z/8 + 1/2.
(z - 1)*(z + 4)*(4*z - 1)/8
Factor -2*i**3 - 856*i**2 + 862*i + 1716.
-2*(i - 2)*(i + 1)*(i + 429)
Factor 3*v**4/4 + 69*v**3/4 - 18*v**2.
3*v**2*(v - 1)*(v + 24)/4
Factor l**4/4 + 2*l**3 + 13*l**2/4 + 3*l/2.
l*(l + 1)**2*(l + 6)/4
Solve -2*l**4/3 + 62*l**3 - 1922*l**2 + 59582*l/3 = 0 for l.
0, 31
Find x, given that -3*x**4 + 36*x**3 - 105*x**2 - 36*x + 108 = 0.
-1, 1, 6
Suppose 4*u**2 - 80*u + 400 = 0. What is u?
10
Factor -u**3/4 + 127*u**2/2.
-u**2*(u - 254)/4
Let -4*o**2 + 1328*o - 110224 = 0. What is o?
166
Suppose 2*y**5/7 + 150*y**4/7 + 718*y**3/7 + 182*y**2 + 984*y/7 + 40 = 0. Calculate y.
-70, -2, -1
Solve 9*n**5 - 1329*n**4 - 4509*n**3 - 3183*n**2 + 1800*n + 1812 = 0 for n.
-2, -1, 2/3, 151
Let x**4 - 7*x**3 - 4*x**2 + 28*x = 0. What is x?
-2, 0, 2, 7
Suppose -3*m**5 + 3*m**4 + 45*m**3 - 15*m**2 - 102*m + 72 = 0. Calculate m.
-3, -2, 1, 4
Factor j**5 - 7*j**4 + 16*j**3 - 12*j**2.
j**2*(j - 3)*(j - 2)**2
Determine g so that -2*g**3/9 - 152*g**2/9 + 2*g/9 + 152/9 = 0.
-76, -1, 1
Determine x, given that 30*x**2 + 53*x/4 + 3/4 = 0.
-3/8, -1/15
Find y such that y**2/2 - 201*y/2 + 394 = 0.
4, 197
Solve 4*a**3/5 - 392*a**2/5 + 388*a/5 = 0 for a.
0, 1, 97
Determine o, given that -2*o**4/5 - 108*o**3 + 2734*o**2/5 - 4392*o/5 + 440 = 0.
-275, 1, 2
Solve -a**2/3 - 377*a/3 + 896 = 0.
-384, 7
Let -54*h**4/7 - 1620*h**3/7 - 7200*h**2/7 - 11500*h/7 - 6250/7 = 0. Calculate h.
-25, -5/3
Factor 16*v**4 - 660*v**3 - 508*v**2 + 168*v.
4*v*(v - 42)*(v + 1)*(4*v - 1)
Factor -6*u**3/7 + 324*u**2/7 + 666*u/7 + 48.
-6*(u - 56)*(u + 1)**2/7
Factor -4*b**5 + 36*b**4 - 104*b**3 + 80*b**2 + 96*b - 128.
-4*(b - 4)*(b - 2)**3*(b + 1)
Solve s**3/2 - 181*s**2 + 721*s/2 - 180 = 0 for s.
1, 360
Factor -2*h**3/3 - 22*h**2/3 + 130*h/3 + 50.
-2*(h - 5)*(h + 1)*(h + 15)/3
Factor -a**4/4 + 5*a**3/4 - a**2.
-a**2*(a - 4)*(a - 1)/4
Factor -5*i**2 - 100*i - 495.
-5*(i + 9)*(i + 11)
Let -c**5/2 - 4*c**4 - 9*c**3 - 8*c**2 - 5*c/2 = 0. What is c?
-5, -1, 0
Suppose i**5/4 + i**4/2 - 13*i**3/4 - 7*i**2/2 + 6*i = 0. What is i?
-4, -2, 0, 1, 3
What is p in -15*p**3 - 69*p**2 + 30*p = 0?
-5, 0, 2/5
Determine w so that 3*w**3 + 1167*w**2 - 5892*w + 7092 = 0.
-394, 2, 3
Factor -2*v**5 + 6*v**4 + 20*v**3 - 104*v**2 + 144*v - 64.
-2*(v - 2)**3*(v - 1)*(v + 4)
Determine v so that 8*v**3 + 90*v**2 + 324*v + 378 = 0.
-21/4, -3
Suppose 145*g**2/4 + 23915*g/4 - 825/2 = 0. Calculate g.
-165, 2/29
Factor u**4/5 + 4*u**3 + 15*u**2 - 100*u - 500.
(u - 5)*(u + 5)*(u + 10)**2/5
Solve r**3/7 - r**2 + 8*r/7 + 16/7 = 0.
-1, 4
What is y in 16*y**5 + 92*y**4 + 204*y**3 + 220*y**2 + 116*y + 24 = 0?
-2, -1, -3/4
Factor -2*d**4/5 + 144*d**3/5 - 3104*d**2/5 + 18432*d/5 - 32768/5.
-2*(d - 32)**2*(d - 4)**2/5
Factor t**5/6 + 7*t**4/6 + 7*t**3/3 + 4*t**2/3.
t**2*(t + 1)*(t + 2)*(t + 4)/6
Suppose -5*c**2 - 5020*c + 10060 = 0. What is c?
-1006, 2
Factor -s**4 + s**3 + 5*s**2 + 3*s.
-s*(s - 3)*(s + 1)**2
Let -u**3/4 + 27*u**2/4 = 0. Calculate u.
0, 27
Determine h so that -2*h**2 - 248*h - 2070 = 0.
-115, -9
Suppose 3*p**4 - 234*p**3 + 447*p**2 + 684*p = 0. What is p?
-1, 0, 3, 76
Let -4*s**5 + 382*s**4 - 8208*s**3 - 44200*s**2 - 20000*s = 0. Calculate s.
-4, -1/2, 0, 50
Factor 4*i**2 + 80*i - 1716.
4*(i - 13)*(i + 33)
Let s**4/5 + 73*s**3/5 + 360*s**2 + 15552*s/5 + 13824/5 = 0. What is s?
-24, -1
Factor 2*o**4 + 12*o**3 + 8*o**2 - 48*o - 64.
2*(o - 2)*(o + 2)**2*(o + 4)
Find u, given that 5*u**4 + 43*u**3 - 8*u**2 - 244*u + 96 = 0.
-8, -3, 2/5, 2
Factor 2*d**2 + 24*d + 72.
2*(d + 6)**2
Factor -q**2/3 - 268*q/3 - 17956/3.
-(q + 134)**2/3
Let 16*d**5/5 + 88*d**4/5 + 108*d**3/5 + 10*d**2 + 8*d/5 = 0. Calculate d.
-4, -1/2, 0
Factor 2*k**4/3 - 8*k**3/3 - 2*k**2/3 + 8*k/3.
2*k*(k - 4)*(k - 1)*(k + 1)/3
What is l in -l**3/5 - 67*l**2/5 - 314*l/5 - 248/5 = 0?
-62, -4, -1
Find y such that 2*y**5 - 292*y**4 + 14112*y**3 - 220892*y**2 - 235298*y = 0.
-1, 0, 49
Factor 144*w**4 + 48*w**3 - 812*w**2 + 920*w - 300.
4*(w - 1)*(w + 3)*(6*w - 5)**2
Suppose 6*x**4/11 + 38*x**3/11 - 30*x**2/11 - 14*x/11 = 0. What is x?
-7, -1/3, 0, 1
Factor t**5 - 24*t**4 - 51*t**3 - 26*t**2.
t**2*(t - 26)*(t + 1)**2
Let -2*m**4/3 + 32*m**3/9 - 10*m**2/3 - 4*m = 0. Calculate m.
-2/3, 0, 3
Find k such that -3*k**3 - 45*k**2 + 3*k + 45 = 0.
-15, -1, 1
Determine d, given that 4*d**3 - 120*d**2 - 124*d = 0.
-1, 0, 31
Let 3*b**2 - 423*b = 0. What is b?
0, 141
Factor -238*h**2 + 512*h - 72.
-2*(h - 2)*(119*h - 18)
Suppose -2*z**4/5 + 136*z**3 + 2054*z**2/5 + 1372*z/5 = 0. What is z?
-2, -1, 0, 343
Solve -o**5 + 6*o**4 - 10*o**3 + 11*o - 6 = 0.
-1, 1, 2, 3
Determine n so that n**2/2 + 115*n = 0.
-230, 0
Find v such that -2*v**5/3 - 224*v**4 - 55088*v**3/3 + 76160*v**2 - 231200*v/3 = 0.
-170, 0, 2
Determine n so that -5*n**5 + 70*n**4 - 275*n**3 + 250*n**2 + 280*n - 320 = 0.
-1, 1, 2, 4, 8
Determine z, given that 2*z**2/13 + 176*z/13 + 3872/13 = 0.
-44
Solve -30*k**2 - 95*k - 15 = 0 for k.
-3, -1/6
Determine a so that 2*a**2 + 1796*a = 0.
-898, 0
Determine u so that -35*u**4 - 270*u**3 - 305*u**2 + 810*u - 200 = 0.
-5, -4, 2/7, 1
Determine h, given that -126*h**2 + 19*h + 2 = 0.
-1/14, 2/9
Let -2*l**5 + 8*l**4 - 8*l**3 - 4*l**2 + 10*l - 4 = 0. What is l?
-1, 1, 2
Let -4*h**4 + 44*h**3 + 464*h**2 + 720*h = 0. What is h?
-5, -2, 0, 18
Determine f so that -64*f**4 - 32*f**3 + 156*f**2 - 72*f = 0.
-2, 0, 3/4
Let -x**2/8 - 3*x/2 = 0. What is x?
-12, 0
What is n in n**4 - 20*n**3 - 66*n**2 - 68*n - 23 = 0?
-1, 23
Suppose -7*c**3/3 - 382*c**2 = 0. Calculate c.
-1146/7, 0
Factor -2*u**2/3 - 6*u - 12.
-2*(u + 3)*(u + 6)/3
Factor 2*y**4 - 4*y**3 - 40*y**2 + 132*y - 90.
2*(y - 3)**2*(y - 1)*(y + 5)
Solve 6*w**5 + 38*w**4 + 30*w**3 - 150*w**2 - 196*w - 48 = 0 for w.
-4, -3, -1, -1/3, 2
Solve 4*i**4/3 + 10*i**3/3 - 202*i**2/3 + 278*i/3 - 30 = 0 for i.
-9, 1/2, 1, 5
Solve -4*k**4 + 12*k**3 + 20*k**2 - 12*k - 16 = 0 for k.
-1, 1, 4
Factor 15*n**3 - 1975*n**2 + 3260*n - 1300.
5*(n - 130)*(n - 1)*(3*n - 2)
Factor d**2/7 - 22*d + 2904/7.
(d - 132)*(d - 22)/7
Determine a so that -6*a**5/5 + 8*a**4/5 + 4*a**3/5 - 8*a**2/5 + 2*a/5 = 0.
-1, 0, 1/3, 1
Find n such that 3*n**2 - 21*n = 0.
0, 7
Find c such that -124*c**3/3 + 130*c**2/3 + 242*c/3 - 4 = 0.
-1, 3/62, 2
Factor 31*u**3/5 - 123*u**2/5 + 89*u/5 + 3/5.
(u - 3)*(u - 1)*(31*u + 1)/5
Determine f, given that -9*f**3/4 - 23*f**2/2 - 59*f/4 - 3/2 = 0.
-3, -2, -1/9
Factor -2*n**2/5 + 88*n/5 - 64.
-2*(n - 40)*(n - 4)/5
Factor -b**3/2 + 17*b**2/2 - 40*b + 32.
-(b - 8)**2*(b - 1)/2
Suppose -4*r**2 - 1784*r - 198916 = 0. What is r?
-223
What is n in 2*n**3 - 14*n - 12 = 0?
-2, -1, 3
Factor 2*z**2/3 - 640*z - 3848/3.
2*(z - 962)*(z + 2)/3
Solve -g**4 + 156*g**3 + 315*g**2 + 158*g = 0 for g.
-1, 0, 158
Determine d so that d**3 + 165*d**2 + 164*d = 0.
-164, -1, 0
Find f such that 4*f**2 - 2968*f + 550564 = 0.
371
Find y such that -3*y**5 + 3*y**4 + 9*y**3 - 3*y**2 - 6*y = 0.
-1, 0, 1, 2
Factor -r**4 + 64*r**3 - 125*r**2 + 62*r.
-r*(r - 62)*(r - 1)**2
Suppose 5*k**4 - 230*k**3 = 0. Calculate k.
0, 46
Find d, given that -10*d**3 - 75*d**2 + 40*d = 0.
-8, 0, 1/2
Factor -25*m**4 - 30*m**3 + 236*m**2 - 168*m + 32.
-(m - 2)*(m + 4)*(5*m - 2)**2
Suppose 24*g**5 + 483*g**4 + 3204