1)
Factor 25*n**4/3 + 330*n**3 + 9601*n**2/3 - 1320*n + 400/3.
(n + 20)**2*(5*n - 1)**2/3
Factor 2*b**4 - 782*b**3 + 11430*b**2 - 56650*b + 94000.
2*(b - 376)*(b - 5)**3
Solve 3*z**3 - 657*z**2 - 3*z + 657 = 0 for z.
-1, 1, 219
Factor -4*b**2 - 1288*b - 1284.
-4*(b + 1)*(b + 321)
Find n such that -n**3 - 49*n**2 + 897*n + 945 = 0.
-63, -1, 15
Solve l**2/3 - 2*l + 8/3 = 0.
2, 4
Factor 4*f**4 - 60*f**3 + 192*f**2 - 176*f.
4*f*(f - 11)*(f - 2)**2
Factor s**3/7 - 44*s**2/7 + 12*s.
s*(s - 42)*(s - 2)/7
Factor -4*b**4 - 68*b**3 - 372*b**2 - 700*b - 392.
-4*(b + 1)*(b + 2)*(b + 7)**2
Let 4*t**4 + 40*t**3 - 100*t**2 - 40*t + 96 = 0. What is t?
-12, -1, 1, 2
Factor -4*m**3/3 + 52*m**2/3 - 40*m.
-4*m*(m - 10)*(m - 3)/3
Find f, given that -f**2/3 - 17*f/3 + 6 = 0.
-18, 1
Suppose 2*o**3/9 + 10*o**2/3 - 22*o/3 + 34/9 = 0. What is o?
-17, 1
Factor -3*z**2 + 687*z/4 - 171/4.
-3*(z - 57)*(4*z - 1)/4
Suppose -35*n**2/2 + 23*n/2 + 6 = 0. Calculate n.
-12/35, 1
Factor 3*s**2 - 132*s + 864.
3*(s - 36)*(s - 8)
Factor 4*o**4 - 26*o**3 - 52*o**2 + 32*o.
2*o*(o - 8)*(o + 2)*(2*o - 1)
What is k in 20*k**5 - 145*k**4 + 355*k**3 - 320*k**2 + 60*k = 0?
0, 1/4, 2, 3
Determine i so that -i**4/4 - i**3/4 = 0.
-1, 0
What is y in 2*y**4/3 + 28*y**3/3 - 62*y**2/3 + 32*y/3 = 0?
-16, 0, 1
Solve 27*v**5 - 357*v**4 + 645*v**3 + 2169*v**2 + 840*v - 300 = 0 for v.
-1, 2/9, 5, 10
Factor 9*g**3 - 60*g**2 + 132*g - 96.
3*(g - 2)**2*(3*g - 8)
Let -3*f**5 + 21*f**4 + 369*f**3 - 69*f**2 - 1038*f + 720 = 0. What is f?
-8, -2, 1, 15
Find v, given that 36*v**2/11 - 42*v/11 + 6/11 = 0.
1/6, 1
Factor -2*g**2 + 150*g - 292.
-2*(g - 73)*(g - 2)
Factor 4*w**4/7 + 464*w**3/7 + 20152*w**2/7 + 388368*w/7 + 2802276/7.
4*(w + 27)**2*(w + 31)**2/7
Find l such that -160*l**3/9 + 40676*l**2/9 + 10532*l/3 + 680 = 0.
-2/5, -3/8, 255
Factor -3*x**3 - 1116*x**2 - 138384*x - 5719872.
-3*(x + 124)**3
Factor 3*j**5 + 135*j**4 + 1710*j**3 + 4350*j**2 + 4095*j + 1323.
3*(j + 1)**3*(j + 21)**2
Factor -33*h**4/4 - 35*h**3/4 - h**2/2.
-h**2*(h + 1)*(33*h + 2)/4
Let v**2/3 + 2*v - 7/3 = 0. What is v?
-7, 1
Factor -4*i**5 + 12*i**3 + 8*i**2.
-4*i**2*(i - 2)*(i + 1)**2
Determine q so that -4*q**3 - 144*q**2 = 0.
-36, 0
Solve 2*l**2/5 + 36*l/5 + 64/5 = 0 for l.
-16, -2
Suppose 4*y**4 + 4*y**3 - 28*y**2 - 4*y + 24 = 0. Calculate y.
-3, -1, 1, 2
Find r such that -2*r**4 + 19*r**3 - 22*r**2 - 19*r + 24 = 0.
-1, 1, 3/2, 8
Factor -h**3 + 23*h**2 + h - 23.
-(h - 23)*(h - 1)*(h + 1)
Factor 4*x**4 + 20*x**3 - 52*x**2 + 28*x.
4*x*(x - 1)**2*(x + 7)
Factor -3*t**2 - 5802*t - 2805267.
-3*(t + 967)**2
Suppose l**5/4 + 3*l**4/4 - 4*l**3 - 5*l**2 + 24*l - 16 = 0. What is l?
-4, 1, 2
Find h, given that 2*h**2/5 - 314*h/5 - 636/5 = 0.
-2, 159
Solve -2*c**5 - 26*c**4 - 66*c**3 + 82*c**2 + 268*c + 144 = 0 for c.
-9, -4, -1, 2
Solve -4*k**3 + 204*k**2 - 2268*k - 8748 = 0.
-3, 27
Factor -324*r**3 + 5652*r**2 - 2464*r + 272.
-4*(r - 17)*(9*r - 2)**2
Factor -2*p**2 + 5336*p - 3559112.
-2*(p - 1334)**2
Solve 3*g**2/2 - 33*g/2 - 153 = 0 for g.
-6, 17
Suppose 3*n**5/2 + 151*n**4/6 - 476*n**3/3 - 2780*n**2 + 10696*n/3 - 1960/3 = 0. What is n?
-14, 2/9, 1, 10
Let -5*t**2 + 135*t - 550 = 0. What is t?
5, 22
Find s such that 2*s**2/15 + 36*s - 1088/15 = 0.
-272, 2
Factor -3*q**3 + 3*q**2 + 12*q - 12.
-3*(q - 2)*(q - 1)*(q + 2)
Determine m, given that -9*m**5/4 + 129*m**4/2 + 386*m**3 + 732*m**2 + 540*m + 136 = 0.
-2, -2/3, 34
Determine d so that -2*d**3/5 + 4*d**2/5 + 6*d/5 = 0.
-1, 0, 3
Factor 24*n**3 + 52*n**2 - 116*n - 168.
4*(n - 2)*(n + 3)*(6*n + 7)
What is r in -5*r**4/3 + 790*r**3/3 + 5*r**2/3 - 790*r/3 = 0?
-1, 0, 1, 158
Factor 4*w**3 + 7824*w**2 + 3818100*w - 7667528.
4*(w - 2)*(w + 979)**2
Factor n**2/3 - 32*n - 97/3.
(n - 97)*(n + 1)/3
Factor -9*a**2/2 - 123*a/4 - 105/4.
-3*(a + 1)*(6*a + 35)/4
Suppose 3*l**4 - 9*l**3 - 15*l**2 + 9*l + 12 = 0. Calculate l.
-1, 1, 4
Factor -5*i**3 + 15*i**2 - 10*i.
-5*i*(i - 2)*(i - 1)
What is g in -g**3/3 - 7*g**2/3 + 8*g/3 = 0?
-8, 0, 1
Find w such that -w**5 - 5*w**4 + w**3 + 5*w**2 = 0.
-5, -1, 0, 1
Factor 2*h**2 + 240*h - 242.
2*(h - 1)*(h + 121)
Suppose -4*b**5/3 + 91*b**4/3 - 171*b**3 + 314*b**2/3 + 112*b/3 = 0. What is b?
-1/4, 0, 1, 8, 14
Let -10*b**2/9 - 5068*b/9 + 338/3 = 0. Calculate b.
-507, 1/5
Factor -20*b**3 + 1032*b**2 - 13104*b - 5408.
-4*(b - 26)**2*(5*b + 2)
Find u, given that 2*u**4/15 + 26*u**3/15 - 242*u**2/15 - 266*u/15 = 0.
-19, -1, 0, 7
Factor -2*r**4/5 - 2*r**3 - 18*r**2/5 - 14*r/5 - 4/5.
-2*(r + 1)**3*(r + 2)/5
Factor -3*a**2 - 4155*a.
-3*a*(a + 1385)
Factor s**3/4 + 67*s**2/2 - 2059*s/4 + 481.
(s - 13)*(s - 1)*(s + 148)/4
Factor v**2/7 + 74*v/7 + 213/7.
(v + 3)*(v + 71)/7
Factor -2*b**3/7 + 58*b**2/7 - 510*b/7 + 1350/7.
-2*(b - 15)*(b - 9)*(b - 5)/7
Factor 2*w**4 - 12*w**3 + 44*w + 30.
2*(w - 5)*(w - 3)*(w + 1)**2
Factor -t**2/11 - 193*t/11.
-t*(t + 193)/11
Let 2*t**3/19 - 74*t**2/19 + 204*t/19 = 0. Calculate t.
0, 3, 34
Factor -16*a**2 - 116*a + 660.
-4*(a + 11)*(4*a - 15)
Suppose 5*s**4 - 10*s**3 - 60*s**2 + 90*s + 135 = 0. What is s?
-3, -1, 3
Factor -p**3/2 - 23*p**2/3 + 16*p/3.
-p*(p + 16)*(3*p - 2)/6
Factor 10609*c**2/5 + 1030*c + 125.
(103*c + 25)**2/5
Factor -3*z**4 + 1374*z**3 - 5460*z**2 + 5448*z.
-3*z*(z - 454)*(z - 2)**2
Factor z**3/2 - 3*z**2/2 - 14*z.
z*(z - 7)*(z + 4)/2
Find l, given that -3*l**3/5 + 489*l**2/5 - 384*l + 1908/5 = 0.
2, 159
Determine b so that -2*b**3 + 14*b**2 - 22*b + 10 = 0.
1, 5
Let -2*v**2 + 22392*v - 62675208 = 0. What is v?
5598
Find y such that -18*y**5/11 + 112*y**4/11 + 246*y**3/11 + 84*y**2/11 - 32*y/11 = 0.
-1, 0, 2/9, 8
Find m such that 6*m**5/5 - 206*m**4/5 - 442*m**3/15 + 254*m**2/5 + 96*m/5 - 56/3 = 0.
-1, 2/3, 35
Let -5*q**2 + 100*q - 495 = 0. What is q?
9, 11
Solve a**2 + 167*a = 0 for a.
-167, 0
Let 4*a**2 + 12*a - 72 = 0. Calculate a.
-6, 3
Factor -x**2/2 + 27*x - 52.
-(x - 52)*(x - 2)/2
Suppose -k**4 - k**3 + 21*k**2 + 41*k + 20 = 0. What is k?
-4, -1, 5
Factor 2*q**3 - 10*q**2 + 16*q - 8.
2*(q - 2)**2*(q - 1)
Solve 3*n**2 - 117*n - 246 = 0 for n.
-2, 41
What is z in -11*z**2/3 + 535*z - 1450/3 = 0?
10/11, 145
Factor 2*d**5/9 + 8*d**4/9 - 4*d**3/9 - 8*d**2/3 + 2*d.
2*d*(d - 1)**2*(d + 3)**2/9
Factor -2*p**2 + 12*p + 32.
-2*(p - 8)*(p + 2)
Factor -3*p**4/5 + 29*p**3/5 - 42*p**2/5 + 16*p/5.
-p*(p - 8)*(p - 1)*(3*p - 2)/5
Let 50*k**4 - 110*k**3 - 112*k**2 - 24*k = 0. What is k?
-2/5, 0, 3
Determine u, given that u**2/8 - 35*u/8 + 75/4 = 0.
5, 30
Let -i**4 + 25*i**3 + 127*i**2 - 325*i + 174 = 0. Calculate i.
-6, 1, 29
What is j in j**5 - 13*j**4 + 39*j**3 - 27*j**2 = 0?
0, 1, 3, 9
Find n, given that 5*n**2 - 810*n + 3160 = 0.
4, 158
Suppose 2*p**3/9 + 62*p**2/3 = 0. What is p?
-93, 0
Factor c**3/6 - 64*c**2/3 + 1807*c/2 - 12675.
(c - 50)*(c - 39)**2/6
Determine l so that 2*l**5/19 + 426*l**4/19 + 3716*l**3/19 + 8976*l**2/19 - 64*l/19 - 13056/19 = 0.
-204, -4, -2, 1
Determine h, given that 5*h**5/4 + 55*h**4/4 + 50*h**3 + 60*h**2 = 0.
-4, -3, 0
Factor -135*b**2 + 137*b - 2.
-(b - 1)*(135*b - 2)
Factor 5*j**3 + 80*j**2 + 195*j.
5*j*(j + 3)*(j + 13)
Factor 56*r**3 - 128*r**2 + 65*r/2 - 1.
(r - 2)*(4*r - 1)*(28*r - 1)/2
Factor -2738019*h**3 + 84681*h**2 - 873*h + 3.
-3*(97*h - 1)**3
Factor -4*v**3 - 116*v**2 + 248*v.
-4*v*(v - 2)*(v + 31)
Factor 5*d**3 - 250*d**2 + 715*d - 470.
5*(d - 47)*(d - 2)*(d - 1)
Factor -5*l**4 - 385*l**3 + 15*l**2 + 1165*l + 770.
-5*(l - 2)*(l + 1)**2*(l + 77)
Find c such that 35*c**3 + 850*c**2 - 4835*c - 1450 = 0.
-29, -2/7, 5
Find u such that -2*u**2/7 + 2/7 = 0.
-1, 1
What is d in -2*d**4 - 56*d**3/5 + 94*d**2/5 - 28*d/5 = 0?
-7, 0, 2/5, 1
Find n, given that -2*n**4/21 + 148*n**3/21 - 1112*n**2/7 + 9060*n/7 - 18450/7 = 0.
3, 15, 41
Suppose -2*f**4/3 + 24*f**3 - 306*f**2 + 4760*f/3 - 2600 = 0. What is f?
3, 10, 13
Factor -3*u**3 - 483*u**2 - 2817*u - 4185.
-3*(u + 3)**2*(u + 155)
Determine m, given that 5*m**5 + 125*m**4 - 140*m**3 - 260*m**2 = 0.
-26, -1, 0, 2
Let f**2/5 + 38*f/5 + 361/5 = 0. Calculate f.
-19
Solve 5*y**4 - 55*y**3 - 65*y**2 + 775*y - 660 = 0 for y.
-4, 1, 3, 11
Let -2*c**4/17 + 26*c**3/17 + 96*c**2/17 + 8*c/17 - 128/17 = 0. What is c?
-2, 1, 16
Find x such that 4*x**5/7 - 76*x**4/7 - 92*x**3/7 + 236*x**2/7 + 88*x/7 - 160/7 = 0.
-2, -1, 1, 20
Let 3*u**2 + 24*u - 27 = 0. Calculate u.