33580*u**3 - 18812*u**2 - 3674*u - 242.
-2*(u + 11)**2*(5*u + 1)**3
Let i**5 - 5*i**4 + 8*i**3 - 4*i**2 = 0. Calculate i.
0, 1, 2
Let 6272*t**5/5 + 4032*t**4/5 + 872*t**3/5 + 72*t**2/5 + 2*t/5 = 0. What is t?
-1/4, -1/14, 0
What is t in t**2/3 - 11*t/3 + 10/3 = 0?
1, 10
Suppose 5*x**3/3 - 500*x**2/3 - 1015*x/3 - 170 = 0. Calculate x.
-1, 102
Factor 2*l**3/3 - 140*l**2/3 + 1600*l/3 + 32000/3.
2*(l - 40)**2*(l + 10)/3
Factor -27*y**3 - 693*y**2 + 960*y - 324.
-3*(y + 27)*(3*y - 2)**2
Determine t so that -2*t**2/13 + 66*t/13 - 280/13 = 0.
5, 28
Find p, given that 2*p**3/15 + 62*p**2/15 + 34*p + 30 = 0.
-15, -1
Determine m so that 4*m**4 + 80*m**3 + 468*m**2 + 648*m = 0.
-9, -2, 0
Suppose -2*w**3/13 - 892*w**2/13 = 0. Calculate w.
-446, 0
Factor -4*l**2/3 + 136*l/3 + 140/3.
-4*(l - 35)*(l + 1)/3
Determine s so that 5*s**4 - 45*s**3 + 125*s**2 - 135*s + 50 = 0.
1, 2, 5
Factor -4*r**3/3 + 20*r**2/3 - 8*r/3 - 32/3.
-4*(r - 4)*(r - 2)*(r + 1)/3
Suppose 3*k**4 - 279*k**3 + 1848*k**2 - 3636*k + 2064 = 0. What is k?
1, 2, 4, 86
Factor 3*v**2/5 - 36*v/5 + 33/5.
3*(v - 11)*(v - 1)/5
Factor 4*p**2/3 + 8*p + 32/3.
4*(p + 2)*(p + 4)/3
Factor g**4/4 + 11*g**3/2 + 30*g**2 - 11*g/2 - 121/4.
(g - 1)*(g + 1)*(g + 11)**2/4
Factor -2*a**5/9 + 2*a**3/9.
-2*a**3*(a - 1)*(a + 1)/9
Let 14*x**3/9 - 536*x**2/9 + 5206*x/9 - 1444/9 = 0. Calculate x.
2/7, 19
Suppose 3*s**2/7 - 48*s/7 + 192/7 = 0. Calculate s.
8
Factor -2*g**3 - 24*g**2 - 42*g + 196.
-2*(g - 2)*(g + 7)**2
Determine b, given that 5*b**4/2 + 1180*b**3 - 5*b**2/2 - 1180*b = 0.
-472, -1, 0, 1
Find q, given that 5*q**5 + 2790*q**4 + 394750*q**3 + 1548440*q**2 + 1923765*q + 767290 = 0.
-277, -2, -1
Factor -2*w**4/9 + 4*w**3/9.
-2*w**3*(w - 2)/9
Factor -10*j**3/3 - 4*j**2/3.
-2*j**2*(5*j + 2)/3
Factor -d**2 - 1271*d - 1270.
-(d + 1)*(d + 1270)
Solve -r**3 - r**2 + 30*r + 72 = 0 for r.
-4, -3, 6
Let -2*p**5 + 8*p**4 + 6*p**3 - 20*p**2 - 16*p = 0. What is p?
-1, 0, 2, 4
Factor -i**4/7 - 6*i**3/7 + 12*i**2/7 + 8*i - 96/7.
-(i - 2)**2*(i + 4)*(i + 6)/7
Find s, given that s**5 - 10*s**4 + 24*s**3 - 22*s**2 + 7*s = 0.
0, 1, 7
Factor 5*y**2 - 5*y - 30.
5*(y - 3)*(y + 2)
Determine c, given that 4*c**2 + 88*c - 300 = 0.
-25, 3
Factor 7*y**2/4 - 5*y/4 - 1/2.
(y - 1)*(7*y + 2)/4
Factor -3*a**3 - 75*a**2 - 186*a + 264.
-3*(a - 1)*(a + 4)*(a + 22)
Find l, given that -5*l**4 + 15*l**3 - 15*l**2 + 5*l = 0.
0, 1
Find h such that 3*h**5 + 12*h**4 - 18*h**3 - 12*h**2 + 15*h = 0.
-5, -1, 0, 1
Factor -b**4/6 + b**3/2 - b**2/6 - b/2 + 1/3.
-(b - 2)*(b - 1)**2*(b + 1)/6
Solve -a**2 - 5*a - 4 = 0.
-4, -1
Factor 8*r**2/3 + 124*r/9 + 112/9.
4*(r + 4)*(6*r + 7)/9
Factor 4*a**2/7 + 68*a/7 - 240/7.
4*(a - 3)*(a + 20)/7
Find u such that 2*u**5 + 4*u**4 - 14*u**3 + 8*u**2 = 0.
-4, 0, 1
Factor 5*u**3/7 - 2*u**2 + u + 2/7.
(u - 2)*(u - 1)*(5*u + 1)/7
Find a such that -5*a**5 + 60*a**4 - 45*a**3 - 110*a**2 = 0.
-1, 0, 2, 11
Let q**2/3 - 83*q/3 - 170/3 = 0. Calculate q.
-2, 85
Suppose 2*f**2 + 164*f + 3362 = 0. What is f?
-41
Determine h so that h**5 - 6*h**4 - 4*h**3 + 24*h**2 = 0.
-2, 0, 2, 6
Solve -2*b**5 + 16*b**4 + 24*b**3 - 52*b**2 - 22*b + 36 = 0.
-2, -1, 1, 9
What is p in 2*p**5 - 20*p**4 + 28*p**3 + 176*p**2 - 366*p + 180 = 0?
-3, 1, 5, 6
Let -5*i**2 + 85*i + 300 = 0. Calculate i.
-3, 20
Find k such that -3*k**5/4 - 3*k**4 + 21*k**2/2 + 51*k/4 + 9/2 = 0.
-3, -1, 2
Find z, given that -2*z**2/7 + 6208*z/7 - 4817408/7 = 0.
1552
Factor z**2/3 - 47*z/3.
z*(z - 47)/3
Factor 4*f**4/3 + 20*f**3 + 100*f**2 + 500*f/3.
4*f*(f + 5)**3/3
Solve -p**2 + 80*p - 1551 = 0.
33, 47
Factor g**4/4 + g**3 - g**2/4 - g.
g*(g - 1)*(g + 1)*(g + 4)/4
Factor 4*x**2 - 1604*x + 1600.
4*(x - 400)*(x - 1)
Let -2*s**2/7 + 4*s + 30/7 = 0. What is s?
-1, 15
Factor 5*g**4 + 145*g**3 + 920*g**2 + 1680*g.
5*g*(g + 4)**2*(g + 21)
Factor 4*l**5 - 140*l**4 - 156*l**3 + 412*l**2 + 712*l + 288.
4*(l - 36)*(l - 2)*(l + 1)**3
Factor -o**4/3 + 9*o**3 - 88*o**2 + 1088*o/3 - 512.
-(o - 8)**3*(o - 3)/3
Factor -4*s**2 - 20*s - 24.
-4*(s + 2)*(s + 3)
Find m, given that 11*m**5/5 - 108*m**4/5 - 416*m**3/5 - 98*m**2 - 219*m/5 - 26/5 = 0.
-1, -2/11, 13
Let -t**3/7 + 3*t**2/7 + 118*t/7 - 120/7 = 0. Calculate t.
-10, 1, 12
Factor -2*s**2 + 62*s - 216.
-2*(s - 27)*(s - 4)
Determine b, given that 315*b**5 - 1640*b**4 + 115*b**3 + 1010*b**2 + 200*b = 0.
-4/7, -2/9, 0, 1, 5
Determine l, given that -505*l**2 + 985*l + 50 = 0.
-5/101, 2
Find x, given that -8*x**4/11 - 26*x**3/11 - 2*x**2 - 4*x/11 = 0.
-2, -1, -1/4, 0
Let 2*j**4/3 + 22*j**3/3 - 48*j**2 + 248*j/3 - 128/3 = 0. What is j?
-16, 1, 2
Factor o**3/3 - 250*o**2/3 + 247*o/3 + 166.
(o - 249)*(o - 2)*(o + 1)/3
Determine l, given that l**4/2 + 11*l**3/2 + 19*l**2/2 + 9*l/2 = 0.
-9, -1, 0
Determine m, given that 7*m**4/4 + 19*m**3/4 + 15*m**2/4 + m/4 - 1/2 = 0.
-1, 2/7
Let 2*p**3/7 + 9*p**2/7 - 5*p/7 = 0. Calculate p.
-5, 0, 1/2
Suppose 5*g**3 - 80*g**2 + 345*g - 450 = 0. What is g?
3, 10
Solve -2*r**5/9 - 20*r**4/9 - 8*r**3/3 + 68*r**2/9 + 26*r/9 - 16/3 = 0 for r.
-8, -3, -1, 1
Suppose 2*d**4/9 + 248*d**3/9 + 6056*d**2/9 - 33728*d/3 + 36992 = 0. Calculate d.
-68, 6
Factor 2*r**3/11 - 52*r**2/11 - 112*r/11.
2*r*(r - 28)*(r + 2)/11
Factor -a**3/2 + 437*a**2/2 - 47523*a/2 - 47961/2.
-(a - 219)**2*(a + 1)/2
Factor -u**2/2 - 323*u/2 - 161.
-(u + 1)*(u + 322)/2
What is p in -4*p**5 + 27212*p**4 - 46239976*p**3 - 138883240*p**2 - 138937684*p - 46321636 = 0?
-1, 3403
Factor -2*z**4 + 20*z**3 - 54*z**2 + 36*z.
-2*z*(z - 6)*(z - 3)*(z - 1)
Factor -2*f**3/9 - 1442*f**2/9 - 262070*f/9 - 257762/3.
-2*(f + 3)*(f + 359)**2/9
Factor 5*u**2 - 2230*u - 9000.
5*(u - 450)*(u + 4)
Solve -28*v**4 + 120*v**3 + 164*v**2 - 336*v + 80 = 0.
-2, 2/7, 1, 5
What is m in 2625*m**5 + 3000*m**4 - 3960*m**3 + 1056*m**2 - 48*m = 0?
-2, 0, 2/35, 2/5
Factor -5*s**2 - 115*s - 110.
-5*(s + 1)*(s + 22)
Factor c**4/4 - 15*c**3/2 + 273*c**2/4 - 196*c.
c*(c - 16)*(c - 7)**2/4
Let -l**4/4 + 9*l**3/4 - 5*l**2/2 - 9*l + 14 = 0. What is l?
-2, 2, 7
Determine x so that 25*x**5 + 115*x**4 + 25*x**3 - 155*x**2 - 50*x + 40 = 0.
-4, -1, 2/5, 1
Factor -2*t**5/3 + 86*t**4/3 + 178*t**3/3 + 30*t**2.
-2*t**2*(t - 45)*(t + 1)**2/3
Find v such that -12*v**5 - 44*v**4 + 36*v**3 + 76*v**2 - 24*v - 32 = 0.
-4, -1, -2/3, 1
Suppose -21*s**3/8 - 27*s**2/8 + 15*s/4 = 0. What is s?
-2, 0, 5/7
Let -b**4 + 17*b**3 + 42*b**2 - 68*b - 152 = 0. Calculate b.
-2, 2, 19
Find l such that 5*l**5/2 + 8*l**4 + 3*l**3/2 = 0.
-3, -1/5, 0
Determine g, given that 2*g**2/11 + 32*g/11 = 0.
-16, 0
Factor 98*o**2 - 1204*o + 3698.
2*(7*o - 43)**2
Solve -4*o**5 - 16*o**4 + 80*o**3 - 40*o**2 - 76*o + 56 = 0 for o.
-7, -1, 1, 2
Factor -5*y**2 - 10*y + 120.
-5*(y - 4)*(y + 6)
Solve -114*d**2 - 232*d - 8 = 0.
-2, -2/57
Factor k**4 + 77*k**3 + 1323*k**2 + 8575*k + 19208.
(k + 7)**3*(k + 56)
Let 4*u**4 - 1752*u**3 + 1744*u**2 + 1752*u - 1748 = 0. What is u?
-1, 1, 437
Let 2*b**4/9 - 10*b**3/9 - 2*b**2/9 + 10*b/9 = 0. What is b?
-1, 0, 1, 5
Factor -3*h**3 + 1065*h**2 + 4296*h + 4308.
-3*(h - 359)*(h + 2)**2
Determine o so that 4*o**5/9 - 4*o**4/9 - 4*o**3/3 + 4*o**2/9 + 8*o/9 = 0.
-1, 0, 1, 2
Suppose -6*d**4/13 + 70*d**3/13 - 186*d**2/13 + 74*d/13 + 48/13 = 0. Calculate d.
-1/3, 1, 3, 8
Let 2*y**2/15 - 64*y/15 + 58/5 = 0. What is y?
3, 29
Suppose v**2/10 - 2264*v/5 + 2562848/5 = 0. Calculate v.
2264
Factor 4*j**4 + 8*j**3 - 12*j**2 - 32*j - 16.
4*(j - 2)*(j + 1)**2*(j + 2)
Let -3*l**3 - 3*l**2 + 366*l - 360 = 0. What is l?
-12, 1, 10
Determine m so that -m**5/2 + 495*m**4/2 - 60507*m**3/2 - 186003*m**2/2 = 0.
-3, 0, 249
Factor 2*m**2/7 + 114*m/7.
2*m*(m + 57)/7
Suppose -g**3/8 + 3*g**2/8 + g/2 = 0. Calculate g.
-1, 0, 4
Factor 6*o**3/5 - 246*o**2/5.
6*o**2*(o - 41)/5
Factor -5*u**3 + 45*u**2 - 115*u + 75.
-5*(u - 5)*(u - 3)*(u - 1)
Factor 5*z**4/8 + 27*z**3/8 + 5*z**2 + 3*z/2.
z*(z + 2)*(z + 3)*(5*z + 2)/8
Suppose h**5/5 + 8*h**4/5 + 9*h**3/5 - 18*h**2/5 = 0. What is h?
-6, -3, 0, 1
Factor -9*t**4 + 102*t**3 - 109*t**2 - 108*t - 20.
-(t - 10)*(t - 2)*(3*t + 1)**2
Let 4*q**3 + 56*q**2 = 0. Calculate q.
-14, 0
Factor -2*t**2 - 322*t.
-2*t*(t + 161)
Find y, given that 2*y**2/11 + 928*y/11 + 926/11 = 0.
-463, -1
Factor -o**4 + 12*o**3 - 37*o**2 + 42*o - 16.
-(o - 8)*(o - 2)*(o - 1)**2
Factor z**5/6 - 5*z**4/3 - 4*z**3.
z**3*(z - 12)*(z + 2)