**2/3 + 683185*u/6 + 483025/6 = 0. Calculate u.
-139, -5, -1
Factor g**2/3 + 871*g/3 - 582.
(g - 2)*(g + 873)/3
Let 4*h**3 + 804*h**2 + 53868*h + 1203052 = 0. What is h?
-67
Factor h**3/6 + 3685*h**2/6 - h/6 - 3685/6.
(h - 1)*(h + 1)*(h + 3685)/6
Solve -3*a**3 + 6*a**2 + 3*a - 6 = 0.
-1, 1, 2
Find x such that 3*x**5 - 309*x**4 + 297*x**3 + 933*x**2 - 1536*x + 612 = 0.
-2, 1, 102
Determine i so that 2*i**4/3 + 2*i**3 - 6*i**2 - 46*i/3 - 8 = 0.
-4, -1, 3
Solve 3*l**4 - 102*l**3 + 279*l**2 = 0 for l.
0, 3, 31
Let -2*c**4 - 76*c**3 - 536*c**2 + 3948*c + 4410 = 0. Calculate c.
-21, -1, 5
Factor 2*p**2/9 + 205*p/9 - 103/9.
(p + 103)*(2*p - 1)/9
Factor w**5/2 - w**4/2 - 25*w**3/2 + 25*w**2/2.
w**2*(w - 5)*(w - 1)*(w + 5)/2
Determine w so that 3*w**4/5 - 27*w**3/5 - 234*w**2/5 - 516*w/5 - 72 = 0.
-2, 15
Factor 2*d**4/7 + 66*d**3/7 + 780*d**2/7 + 3800*d/7 + 6000/7.
2*(d + 3)*(d + 10)**3/7
Let -t**4 - 98*t**3 - 3116*t**2 - 31768*t = 0. What is t?
-38, -22, 0
Factor -3*d**4 - 204*d**3 + 1086*d**2 - 684*d - 1971.
-3*(d - 3)**2*(d + 1)*(d + 73)
Factor 5*w**3 - 595*w**2 - 5*w + 595.
5*(w - 119)*(w - 1)*(w + 1)
What is z in 4*z**2 - 44*z - 48 = 0?
-1, 12
Factor t**3/4 + t**2/2 - 9*t/4 - 9/2.
(t - 3)*(t + 2)*(t + 3)/4
Determine b so that 2*b**3/13 + 12*b**2/13 + 18*b/13 + 8/13 = 0.
-4, -1
Factor -2*z**3 + 106*z**2 - 104*z.
-2*z*(z - 52)*(z - 1)
Determine r, given that -2*r**3 - 274*r**2 - 9246*r + 9522 = 0.
-69, 1
Factor -4*g**3/9 - 268*g**2/9 - 5900*g/9 - 42500/9.
-4*(g + 17)*(g + 25)**2/9
Find w, given that 39*w**5 + 264*w**4 + 687*w**3 + 858*w**2 + 516*w + 120 = 0.
-2, -1, -10/13
Factor 20*f**3/3 - 88*f**2/3 - 68*f/3 + 40/3.
4*(f - 5)*(f + 1)*(5*f - 2)/3
Find o such that -14*o**4 + 4*o**3 + 98*o**2 - 112*o + 24 = 0.
-3, 2/7, 1, 2
Factor 2*h**3 + 18*h**2 - 42*h + 22.
2*(h - 1)**2*(h + 11)
Factor g**4 + 41*g**3 + 75*g**2 - 117*g.
g*(g - 1)*(g + 3)*(g + 39)
Suppose -15*k**3/2 + 39*k**2/2 + 27*k/2 - 27/2 = 0. Calculate k.
-1, 3/5, 3
Let 3*g**3/4 + 21*g**2/4 - 30*g + 33 = 0. What is g?
-11, 2
Determine k so that -k**2/7 + 23*k/7 - 22/7 = 0.
1, 22
Factor -3*q**3 - 255*q**2 - 501*q - 249.
-3*(q + 1)**2*(q + 83)
Solve 10*f**2 + 2256*f - 904 = 0.
-226, 2/5
Determine q so that -4*q**3/9 - 976*q**2/9 - 7872*q - 145152 = 0.
-108, -28
Suppose -35*y**5 + 510*y**4 - 1525*y**3 - 750*y**2 = 0. What is y?
-3/7, 0, 5, 10
Factor 2*i**2 - 34*i - 168.
2*(i - 21)*(i + 4)
Solve -4*f**3 + 36*f**2 - 32*f = 0.
0, 1, 8
Determine r so that -3*r**3/8 + 15*r**2/2 + 33*r/2 = 0.
-2, 0, 22
Factor -35*m**3 + 10*m**2 + 85*m - 60.
-5*(m - 1)**2*(7*m + 12)
Factor 2*u**2/7 - 652*u/7 + 53138/7.
2*(u - 163)**2/7
Solve -v**4 + 6*v**3 - v**2 - 24*v - 16 = 0 for v.
-1, 4
Determine l so that 3*l**2 + 30*l - 72 = 0.
-12, 2
Factor 15*m**4 - 93*m**3 + 138*m**2 - 24*m.
3*m*(m - 4)*(m - 2)*(5*m - 1)
Factor -v**3/3 + 863*v**2 + 1727*v + 2591/3.
-(v - 2591)*(v + 1)**2/3
Solve 4*l**4 - 28*l**3 + 40*l**2 = 0 for l.
0, 2, 5
Factor -2*x**5 - 8*x**4 + 24*x**3.
-2*x**3*(x - 2)*(x + 6)
Solve 20*o**2/3 + 84*o + 48 = 0 for o.
-12, -3/5
Find m, given that 2*m**4/7 + 104*m**3/7 + 1864*m**2/7 + 1792*m + 18432/7 = 0.
-18, -16, -2
Suppose -20*t**4 + 32*t**3 - 17*t**2 + 3*t = 0. Calculate t.
0, 1/2, 3/5
Factor -z**5 + 5*z**4 + 8*z**3 - 12*z**2.
-z**2*(z - 6)*(z - 1)*(z + 2)
Factor f**2/10 - 653*f/5 + 426409/10.
(f - 653)**2/10
Factor -3*j**4 + 414*j**3 + 849*j**2 - 1260*j.
-3*j*(j - 140)*(j - 1)*(j + 3)
Find s such that 2*s**5/11 + 26*s**4/11 + 86*s**3/11 - 34*s**2/11 - 304*s/11 + 224/11 = 0.
-7, -4, 1
Let -2*v**2/11 + 14*v + 316/11 = 0. Calculate v.
-2, 79
Factor -4*u**4 - 9648*u**3 - 8726616*u**2 - 3508099632*u - 528846019524.
-4*(u + 603)**4
Determine k so that -2*k**2/9 + 364*k/9 - 362/9 = 0.
1, 181
Suppose 40*u**2 - 45*u + 5 = 0. Calculate u.
1/8, 1
Let 35*z**3 + 255*z**2 + 490*z + 120 = 0. What is z?
-4, -3, -2/7
Factor 3*g**5 + 16*g**4 - 13*g**3 - 6*g**2.
g**2*(g - 1)*(g + 6)*(3*g + 1)
Let -4*p**3 - 44*p**2 - 16*p + 240 = 0. Calculate p.
-10, -3, 2
Factor t**3/7 - 36*t/7.
t*(t - 6)*(t + 6)/7
Find h, given that h**3 - 7*h**2 - 34*h + 40 = 0.
-4, 1, 10
Suppose -g**2/9 - 11*g/3 - 32/9 = 0. What is g?
-32, -1
Find z such that -5*z**5 + 85*z**4 - 80*z**3 = 0.
0, 1, 16
What is c in -c**5/6 + 21*c**4/2 + 1507*c**3/6 + 4133*c**2/6 + 667*c + 656/3 = 0?
-16, -1, 82
Factor -2*r**2 - 122*r - 120.
-2*(r + 1)*(r + 60)
Find q such that q**3 - 26*q**2/3 + 37*q/3 - 14/3 = 0.
2/3, 1, 7
Factor u**3/2 - 15*u**2 + 29*u/2.
u*(u - 29)*(u - 1)/2
Factor -u**2 + 451*u + 452.
-(u - 452)*(u + 1)
Find a such that -3*a**2/7 - 12*a/7 + 15/7 = 0.
-5, 1
Solve 4*o**3 + 60*o**2 - 376*o + 480 = 0.
-20, 2, 3
What is c in 2*c**5 + 238*c**4/11 + 6*c**3 - 1054*c**2/11 + 848*c/11 - 120/11 = 0?
-10, -3, 2/11, 1
Let 4*z**3 + 104*z**2 + 560*z - 1568 = 0. Calculate z.
-14, 2
Find j, given that j**2/6 - 283*j/3 + 565/6 = 0.
1, 565
Factor -3*x**5/4 - 75*x**4/4 - 285*x**3/2 - 645*x**2/2 - 1155*x/4 - 363/4.
-3*(x + 1)**3*(x + 11)**2/4
Factor m**5 - 18*m**4 - 49*m**3 + 2270*m**2 - 8700*m - 11000.
(m - 10)**3*(m + 1)*(m + 11)
Let a**2 - 40*a - 41 = 0. What is a?
-1, 41
Let 4*c**3 - 104*c**2 + 880*c - 2400 = 0. Calculate c.
6, 10
Factor -5*c**2 - 46360*c - 107462480.
-5*(c + 4636)**2
Find u such that -5*u**3 + 110*u**2 + 5*u - 110 = 0.
-1, 1, 22
Let 2*o**5/13 - 8*o**4/13 - 22*o**3/13 + 124*o**2/13 - 160*o/13 + 64/13 = 0. Calculate o.
-4, 1, 2, 4
Determine x, given that 2*x**2/17 + 44*x/17 = 0.
-22, 0
Factor -c**2 - 124*c.
-c*(c + 124)
Factor u**2/4 + 11*u/2 + 21/4.
(u + 1)*(u + 21)/4
Let -11*v**3/6 - 36*v**2 + 311*v/6 - 14 = 0. Calculate v.
-21, 4/11, 1
What is f in -2*f**4/15 + 38*f**3/15 - 28*f**2/3 = 0?
0, 5, 14
What is n in 5*n**2 - 65*n + 180 = 0?
4, 9
Factor -n**4/9 + 167*n**3/9.
-n**3*(n - 167)/9
Factor -256*a**4 - 64*a**3 + 156*a**2 - 36*a.
-4*a*(a + 1)*(8*a - 3)**2
Factor -2*t**3/15 + 2*t**2/3 + 2*t/15 - 2/3.
-2*(t - 5)*(t - 1)*(t + 1)/15
Factor v**3 - 12*v + 16.
(v - 2)**2*(v + 4)
Factor 7*c**4 - 712*c**3 + 23043*c**2 - 238302*c - 69984.
(c - 48)*(c - 27)**2*(7*c + 2)
Factor -3*h**2/4 - 9*h/2.
-3*h*(h + 6)/4
Factor -p**3/7 - 20*p**2/7 + 67*p/7 - 46/7.
-(p - 2)*(p - 1)*(p + 23)/7
Factor 2*f**2/9 + 4*f/3 - 32/9.
2*(f - 2)*(f + 8)/9
Factor -k**3 + 3214*k**2 - 2582449*k.
-k*(k - 1607)**2
Factor 2*s**2 - 662*s - 664.
2*(s - 332)*(s + 1)
Factor 2*v**5/15 - 12*v**4/5 + 64*v**3/5 - 256*v**2/15.
2*v**2*(v - 8)**2*(v - 2)/15
Solve 17475*s**2 + 3470*s - 5 = 0 for s.
-1/5, 1/699
Let -84*g**2 - 109*g - 5 = 0. Calculate g.
-5/4, -1/21
Find f such that -4*f**5 - 44*f**4 - 28*f**3 + 588*f**2 = 0.
-7, 0, 3
Factor 5*s**3 - 200*s**2 - 415*s - 210.
5*(s - 42)*(s + 1)**2
Factor b**2/7 - 205*b - 4314/7.
(b - 1438)*(b + 3)/7
Solve -2*g**4/5 - 4*g**3/5 + 38*g**2/5 - 56*g/5 + 24/5 = 0.
-6, 1, 2
Let -i**3/7 + 27*i**2/7 - 170*i/7 = 0. Calculate i.
0, 10, 17
Find i such that -30*i**5/11 - 607*i**4/11 - 698*i**3/11 + 111*i**2/11 + 28*i + 76/11 = 0.
-19, -1, -1/2, -2/5, 2/3
Solve 3*x**4/4 - 6*x**3 + 69*x**2/4 - 21*x + 9 = 0.
1, 2, 3
Determine o, given that 16*o**3/3 - 148*o**2/3 + 164*o/3 - 32/3 = 0.
1/4, 1, 8
Determine i, given that -5*i**4 + 15*i**2 + 10*i = 0.
-1, 0, 2
Let 4*j**4/13 - 10*j**3 + 1086*j**2/13 - 448*j/13 - 512/13 = 0. Calculate j.
-1/2, 1, 16
Find u, given that 2*u**2 + 62*u - 64 = 0.
-32, 1
What is u in u**3/3 + 61*u**2 + 3721*u + 226981/3 = 0?
-61
Suppose -5*z**3 + 40*z**2 - 105*z + 90 = 0. Calculate z.
2, 3
Factor -5*k**2 - 905*k + 910.
-5*(k - 1)*(k + 182)
Find i, given that i**3 + 7*i**2 + 14*i + 8 = 0.
-4, -2, -1
Factor -5*j**2 - 2760*j - 380880.
-5*(j + 276)**2
Factor 3*u**3/4 - 3*u**2/8 - 9*u/2 - 27/8.
3*(u - 3)*(u + 1)*(2*u + 3)/8
Factor -4*k**3 - 3324*k**2 - 692220*k - 688900.
-4*(k + 1)*(k + 415)**2
Determine j so that -2*j**5/3 + 68*j**4/3 - 782*j**3/3 + 1060*j**2 - 384*j - 1728 = 0.
-1, 2, 9, 12
Factor -r**2 + 8*r.
-r*(r - 8)
Factor -n**3/3 - 34*n**2/3 - 84*n + 216.
-(n - 2)*(n + 18)**2/3
Suppose 4*u**2/5 + 32784*u/5 + 67174416/5 = 0. Calculate u.
-4098
Factor 2*z**5 - 10*z**4 + 16*z**3 - 8*z**2.
2*z**2*(z - 2)**2*(z - 1)
Factor 4*m**5 - 12*m**4 - 216*m**3 + 448*m**2.
4*m**2*(m - 8)*(m - 2)*(m + 7)
Factor k**5 + 13*k**4 - 85*k**3 - 769*k**2 + 4440*k - 3600.
(k - 5)**2*(k - 1)*(k + 12)**2
Solve -x**4/3 - 11*x**3/3 - 2*x**2/3 + 92*x/3 + 40 = 0.
-10, -2,