**2/4 + 95*u/4 = 0.
-95, 0
Determine x, given that x**3/6 - x**2 + x/2 + 5/3 = 0.
-1, 2, 5
Let -3*x**2/5 + 6*x - 63/5 = 0. Calculate x.
3, 7
Factor 133*j**3 + 1287*j**2 - 436*j - 60.
(j + 10)*(7*j - 3)*(19*j + 2)
Factor 2*w**2 - 32*w + 78.
2*(w - 13)*(w - 3)
Determine y so that -y**5/2 + y**4/6 + 7*y**3/3 - 2*y**2/3 - 4*y/3 = 0.
-2, -2/3, 0, 1, 2
Factor -2*t**3 - 70*t**2 - 704*t - 1536.
-2*(t + 3)*(t + 16)**2
Solve -3*j**3 + 93*j**2 + 96*j = 0.
-1, 0, 32
Let -2*p**5/15 - 134*p**4/3 - 62726*p**3/15 - 1110818*p**2/15 - 1195712*p/3 - 985960/3 = 0. What is p?
-157, -10, -1
Factor 5*w**2 + 1710*w - 1715.
5*(w - 1)*(w + 343)
Suppose -4*b**3/5 + 74*b**2 - 8648*b/5 + 4232/5 = 0. Calculate b.
1/2, 46
Factor -2*k**3/9 - 22*k**2/3 - 170*k/3 + 578/9.
-2*(k - 1)*(k + 17)**2/9
Find c, given that -8*c**4/7 + 31*c**3/7 + 100*c**2/7 + 12*c/7 = 0.
-2, -1/8, 0, 6
Factor 2*v**5/7 - 186*v**4/7.
2*v**4*(v - 93)/7
Let 5*k**5 - 5*k**4 - 45*k**3 + 45*k**2 = 0. What is k?
-3, 0, 1, 3
Find c, given that -15*c**4 - 5*c**3 + 60*c**2 + 20*c = 0.
-2, -1/3, 0, 2
Solve -5*a**2 - 730*a - 26645 = 0.
-73
Factor -s**2/7 + 278*s/7 - 277/7.
-(s - 277)*(s - 1)/7
Let -k**2/2 - 228*k + 457/2 = 0. What is k?
-457, 1
Find z such that -4*z**5 + 244*z**4 - 3744*z**3 - 20736*z**2 + 608256*z = 0.
-11, 0, 24
Factor -4*o**3 - 52*o**2 + 64*o + 112.
-4*(o - 2)*(o + 1)*(o + 14)
What is d in -3*d**5/7 - 3*d**4/7 + 6*d**3/7 + 6*d**2/7 - 3*d/7 - 3/7 = 0?
-1, 1
Solve 2*s**2 - 3588*s + 1609218 = 0 for s.
897
Factor h**2/8 - h - 9/8.
(h - 9)*(h + 1)/8
Find g such that 3*g**5 + 57*g**4 - 711*g**3 + 1239*g**2 - 588*g = 0.
-28, 0, 1, 7
Suppose t**2/3 + 1168*t/3 + 341056/3 = 0. What is t?
-584
Factor -4*c**3 + 31*c**2 - 20*c - 7.
-(c - 7)*(c - 1)*(4*c + 1)
Solve -4*p**4 - 52*p**3 + 276*p**2 + 52*p - 272 = 0 for p.
-17, -1, 1, 4
Determine g, given that -27*g**3 + 147*g**2 - 213*g + 93 = 0.
1, 31/9
Suppose 5*k**4 + 5*k**3 - 15*k**2 - 5*k + 10 = 0. What is k?
-2, -1, 1
Let -2*w**2/3 + 134*w + 404/3 = 0. What is w?
-1, 202
Determine k so that -k**4/5 + 19*k**3/5 + 87*k**2/5 + 113*k/5 + 46/5 = 0.
-2, -1, 23
Find j such that 5*j**2/2 + 3550*j + 1260250 = 0.
-710
Solve -g**3/4 - 285*g**2/8 - 351*g/4 - 35 = 0 for g.
-140, -2, -1/2
Suppose 2*o**3/5 + 2*o**2 - 114*o/5 + 198/5 = 0. Calculate o.
-11, 3
Factor 2*k**3/7 + 146*k**2/7 + 820*k/7 + 1072/7.
2*(k + 2)*(k + 4)*(k + 67)/7
Factor -b**4/4 + 3*b**3/2 + 3*b**2 - 19*b/2 + 21/4.
-(b - 7)*(b - 1)**2*(b + 3)/4
Factor 14*w**5 + 4*w**4 - 84*w**3 + 88*w**2 - 10*w - 12.
2*(w - 1)**3*(w + 3)*(7*w + 2)
Suppose z**3/4 - 9*z**2/4 + 15*z/4 - 7/4 = 0. What is z?
1, 7
Solve -3*u**4 + 27*u**3 - 57*u**2 - 27*u + 60 = 0 for u.
-1, 1, 4, 5
Factor 39*v**3/8 + 41*v**2/8 + v/4.
v*(v + 1)*(39*v + 2)/8
Suppose 14*d**3/9 - 2*d**2/3 - 4*d - 16/9 = 0. What is d?
-1, -4/7, 2
Factor 2*r**4/11 + 52*r**3/11 + 24*r**2 - 220*r - 1694.
2*(r - 7)*(r + 11)**3/11
Factor -3*b**2 - 354*b - 10443.
-3*(b + 59)**2
Solve -4*j**2/3 + 208*j/3 - 560 = 0 for j.
10, 42
Determine o, given that 4*o**3 - 32*o**2 + 28*o = 0.
0, 1, 7
Suppose -4*o**5/7 + 40*o**4/7 - 116*o**3/7 + 128*o**2/7 - 48*o/7 = 0. What is o?
0, 1, 2, 6
Determine v, given that -2*v**5 + 4*v**4 + 30*v**3 - 40*v**2 - 88*v + 96 = 0.
-3, -2, 1, 2, 4
Factor 20*w**4 - 84*w**3 + 116*w**2 - 60*w + 8.
4*(w - 2)*(w - 1)**2*(5*w - 1)
Determine g, given that -16*g**5/7 - 180*g**4/7 - 4*g**3 + 180*g**2/7 + 44*g/7 = 0.
-11, -1, -1/4, 0, 1
Factor 2*g**2/3 - 18*g - 56/3.
2*(g - 28)*(g + 1)/3
Suppose 35*u**3 + 410*u**2 - 575*u + 130 = 0. Calculate u.
-13, 2/7, 1
Find u, given that -u**3/3 - 1333*u**2 - 1776889*u - 2368593037/3 = 0.
-1333
Determine o so that -40*o**4 + 51*o**3 - 9*o**2 - 2*o = 0.
-1/8, 0, 2/5, 1
Find x, given that -1531250*x**3/3 - 4586750*x**2/3 + 20992*x/3 - 8 = 0.
-3, 2/875
Factor -4*j**4/5 - 56*j**3/5 - 132*j**2/5 + 448*j/5 - 256/5.
-4*(j - 1)**2*(j + 8)**2/5
Factor 5*f**3 - 50*f**2 + 135*f - 90.
5*(f - 6)*(f - 3)*(f - 1)
Let 7*a**5 + 23*a**4 + 13*a**3 - 19*a**2 - 20*a - 4 = 0. What is a?
-2, -1, -2/7, 1
Factor -3*s**3 + 31140*s**2 - 107744400*s + 124265208000.
-3*(s - 3460)**3
Factor 7*p**4 + 702*p**3 - 2684*p**2 + 2088*p + 832.
(p - 2)**2*(p + 104)*(7*p + 2)
Factor -3*l**5/4 + 33*l**4/2 + 75*l**3 + 78*l**2.
-3*l**2*(l - 26)*(l + 2)**2/4
Determine y, given that 9*y**5 + 12*y**4 - 15*y**3 - 6*y**2 = 0.
-2, -1/3, 0, 1
Factor -z**3 + 19*z**2 - 16*z - 36.
-(z - 18)*(z - 2)*(z + 1)
Factor -r**5 - 61*r**4 - 835*r**3 + 2881*r**2 - 3008*r + 1024.
-(r - 1)**3*(r + 32)**2
Factor 4*h**3 - 120*h**2 - 544*h.
4*h*(h - 34)*(h + 4)
Determine a, given that 3*a**3 + 420*a**2 + 831*a + 414 = 0.
-138, -1
Let -5*c**2 - 390*c = 0. What is c?
-78, 0
Factor -t**2/2 - 3*t/2 - 1.
-(t + 1)*(t + 2)/2
What is w in 20*w**3 + 175*w**2 - 45*w = 0?
-9, 0, 1/4
Factor -h**2 - 86*h + 267.
-(h - 3)*(h + 89)
Factor 5*n**4 - 40*n**3 + 25*n**2 + 70*n.
5*n*(n - 7)*(n - 2)*(n + 1)
Find h, given that -h**3 - 51*h**2 - 99*h - 49 = 0.
-49, -1
Let -3*t**3 + 51*t**2 + 12*t - 204 = 0. Calculate t.
-2, 2, 17
What is c in -50*c**5 - 35*c**4 + 615*c**3 - 380*c**2 - 740*c + 240 = 0?
-4, -1, 3/10, 2
Suppose -12*b**3/7 - 8*b**2 - 68*b/7 - 24/7 = 0. Calculate b.
-3, -1, -2/3
Solve -3*l**4/7 - 24*l**3/7 - 3*l**2 + 108*l/7 + 108/7 = 0.
-6, -3, -1, 2
Factor 4*s**4/5 + 8*s**3/5 - 8*s/5 - 4/5.
4*(s - 1)*(s + 1)**3/5
What is z in 3*z**3 - 4671*z**2 + 2424249*z - 419395077 = 0?
519
Let 4*x**2 + 3464*x - 10428 = 0. Calculate x.
-869, 3
Suppose 5*q**4 - 185*q**3 + 525*q**2 - 515*q + 170 = 0. What is q?
1, 34
Suppose -l**5 + 9*l**4 - 30*l**3 + 44*l**2 - 24*l = 0. Calculate l.
0, 2, 3
Factor 4*t**2/5 + 8*t - 3036/5.
4*(t - 23)*(t + 33)/5
Solve m**3/2 + 151*m**2/2 + 1672*m - 96800 = 0 for m.
-88, 25
Find p, given that p**2/3 - 4*p/3 - 5/3 = 0.
-1, 5
Factor -9*s**3 - 237*s**2 - 7081*s/4 - 5329/2.
-(s + 2)*(6*s + 73)**2/4
Suppose -6*p**2/11 + 60*p - 654/11 = 0. Calculate p.
1, 109
Suppose -2*z**5/13 - 18*z**4/13 - 10*z**3/13 + 50*z**2/13 + 12*z/13 - 32/13 = 0. Calculate z.
-8, -2, -1, 1
Factor -2*i**4 - 16*i**3 - 10*i**2 + 28*i.
-2*i*(i - 1)*(i + 2)*(i + 7)
Solve 98*y**5 - 4844*y**4 + 19650*y**3 - 5216*y**2 - 8248*y - 1440 = 0 for y.
-2/7, 1, 4, 45
Suppose -4*l**4/7 + 36*l**3/7 - 12*l**2/7 - 148*l/7 - 96/7 = 0. What is l?
-1, 3, 8
Factor -3*i**2 + 879*i + 882.
-3*(i - 294)*(i + 1)
Factor -5*a**2 - 60*a + 65.
-5*(a - 1)*(a + 13)
Find a, given that a**2 + 44*a + 43 = 0.
-43, -1
Factor 2*w**2/5 + 46*w/5 + 48.
2*(w + 8)*(w + 15)/5
Factor 3*i**3 + 45*i**2 - 1839*i - 1881.
3*(i - 19)*(i + 1)*(i + 33)
Factor 3*i**5 + 198*i**4 + 4992*i**3 + 58368*i**2 + 294912*i + 393216.
3*(i + 2)*(i + 16)**4
Factor 5*d**2/6 + 23*d/2 + 26/3.
(d + 13)*(5*d + 4)/6
Let 5*c**2 + 50*c + 120 = 0. What is c?
-6, -4
Find l such that -2*l**5 - 10*l**4 - 4*l**3 + 16*l**2 = 0.
-4, -2, 0, 1
What is w in -4*w**5 + 400*w**4 - 756*w**3 - 2824*w**2 + 7888*w - 4704 = 0?
-3, 1, 2, 98
Factor -3*a**2/2 - 1605*a/2 - 801.
-3*(a + 1)*(a + 534)/2
Determine n, given that 65*n**5 - 7400*n**4 + 34480*n**3 - 15190*n**2 - 66945*n - 9810 = 0.
-1, -2/13, 3, 109
Determine j so that -j**3/10 - 4*j**2/5 + 33*j/10 = 0.
-11, 0, 3
What is x in -12*x**4 - 7953*x**3 - 1320687*x**2 - 984063*x + 328683 = 0?
-331, -1, 1/4
Find o such that 50*o**4 + 1010*o**3 + 168*o**2 - 632*o + 160 = 0.
-20, -1, 2/5
Suppose -f**2/9 - 2*f/9 + 16/3 = 0. Calculate f.
-8, 6
Find q such that 27*q**4/7 + 80*q**3/7 - 3*q**2/7 - 108*q/7 + 4/7 = 0.
-2, 1/27, 1
Suppose -2*r**2 - 6*r + 36 = 0. Calculate r.
-6, 3
Factor -4*d**2 + 152*d + 1692.
-4*(d - 47)*(d + 9)
Let -l**2/3 + 180*l - 24300 = 0. What is l?
270
Find x such that -7*x**2/10 - 557*x + 796/5 = 0.
-796, 2/7
Determine q, given that q**2/4 - 11*q/4 = 0.
0, 11
Factor 18*w**3 - 5360*w**2 - 1192*w.
2*w*(w - 298)*(9*w + 2)
Suppose 5*f**5/6 - 25*f**4/6 - 20*f**3/3 + 10*f**2 = 0. Calculate f.
-2, 0, 1, 6
Find w such that -w**4/5 + w**3/5 + 7*w**2/5 - w/5 - 6/5 = 0.
-2, -1, 1, 3
Factor -3*t**2 - 366*t.
-3*t*(t + 122)
Find k, given that 2*k**5/9 + 40*k**4/9 - 2*k**3/3 - 116*k**2/9 + 80*k/9 = 0.
-20, -2, 0, 1
Factor 2*f**3/7 - 92*f**2/7 + 342*f/7 - 36.
2*(f - 42)*(f - 3)*(f - 1)/7
Factor 14*t**4/11 + 12372*t**3/11 + 2731560*t**2/11 - 781456*t/11.
2*t*(t + 442)**2*(7*t - 2)/11
Let -2*b**5/15 - 586*b**4/15 - 10222*b**3/3 - 652486*b**2/15 + 55138384