3.
-2*(c - 8)*(c + 1)*(c + 4)/13
Factor -c**4/2 - 71*c**3/2 + 2*c**2 + 142*c.
-c*(c - 2)*(c + 2)*(c + 71)/2
Factor r**4/3 - 8*r**3/3 + 19*r**2/3 - 4*r.
r*(r - 4)*(r - 3)*(r - 1)/3
Solve 2*f**4 + 56*f**3 + 370*f**2 + 532*f = 0.
-19, -7, -2, 0
Factor 4*z**3 - 460*z**2 - 13988*z - 95316.
4*(z - 141)*(z + 13)**2
Factor 5*x**4/2 - 25*x**3 + 70*x**2 - 15*x - 225/2.
5*(x - 5)*(x - 3)**2*(x + 1)/2
Suppose -2*v**5/5 - 52*v**4/5 - 44*v**3/5 + 152*v**2/5 + 46*v/5 - 20 = 0. Calculate v.
-25, -2, -1, 1
Factor -2*q**4/7 + 160*q**3/7 - 3644*q**2/7 + 17760*q/7 - 24642/7.
-2*(q - 37)**2*(q - 3)**2/7
Let -3*l**4/8 - 609*l**3/8 + 1857*l**2/8 + 609*l/8 - 927/4 = 0. What is l?
-206, -1, 1, 3
Factor 48*q**2 - 1800*q + 16875.
3*(4*q - 75)**2
Factor -w**5 + 7*w**4 + 2*w**3 - 14*w**2 - w + 7.
-(w - 7)*(w - 1)**2*(w + 1)**2
Suppose -4*m**5/13 - 74*m**4/13 + 12*m**3/13 + 230*m**2/13 + 148*m/13 = 0. Calculate m.
-37/2, -1, 0, 2
Let -4*u**3 - 296*u**2 - 580*u - 288 = 0. What is u?
-72, -1
Let 90*o**5 + 184*o**4 + 256*o**3/3 - 68*o**2/3 - 46*o/3 - 4/3 = 0. Calculate o.
-1, -1/3, -1/9, 2/5
Solve -5*a**2 + 140*a - 135 = 0.
1, 27
Let -4*m**4 - 96*m**3 + 4*m**2 + 96*m = 0. What is m?
-24, -1, 0, 1
Determine w, given that 8*w**4 - 100*w**3 + 120*w**2 + 140*w - 88 = 0.
-1, 1/2, 2, 11
Factor 212552*s**2/5 + 27384*s/5 + 882/5.
2*(326*s + 21)**2/5
Solve -145*i**2 + 150*i - 5 = 0.
1/29, 1
Factor 2*c**2/7 - 50*c/7 + 48/7.
2*(c - 24)*(c - 1)/7
Factor 3*z**3 + 40*z**2 + 71*z - 66.
(z + 3)*(z + 11)*(3*z - 2)
Determine q so that -q**4/3 + 2*q**3/3 + 8*q**2/3 = 0.
-2, 0, 4
Determine b, given that b**4 + 8*b**3 + 6*b**2 - 40*b + 25 = 0.
-5, 1
What is x in 2*x**5/13 + 10*x**4/13 + 12*x**3/13 - 4*x**2/13 - 14*x/13 - 6/13 = 0?
-3, -1, 1
What is p in -3*p**3 - 540*p**2 - 23184*p + 101568 = 0?
-92, 4
Determine t so that -4*t**4 - 700*t**3 - 30272*t**2 + 30976*t = 0.
-88, 0, 1
Determine z so that -2*z**2/21 + 636*z - 1061802 = 0.
3339
Solve 3*x**4/5 - 351*x**3/5 + 10773*x**2/5 - 29241*x/5 = 0.
0, 3, 57
Determine b so that 2*b**2/11 + 5726*b/11 - 5728/11 = 0.
-2864, 1
Factor 3*n**4/8 + 1497*n**3/8 + 23250*n**2 - 46875*n/2.
3*n*(n - 1)*(n + 250)**2/8
Factor 6*h**3 - 160*h**2 + 254*h - 100.
2*(h - 25)*(h - 1)*(3*h - 2)
Suppose -5*h**3 - 12*h**2 + 9*h = 0. What is h?
-3, 0, 3/5
Factor -16*z**3/3 + 484*z**2/3 - 40*z.
-4*z*(z - 30)*(4*z - 1)/3
Factor 4*o**4 + 12*o**3 - 52*o**2 - 60*o.
4*o*(o - 3)*(o + 1)*(o + 5)
Determine r so that -3*r**4/4 - 45*r**3/4 - 57*r**2/2 - 18*r = 0.
-12, -2, -1, 0
Solve 324*j**4 - 8406*j**3 - 524*j**2 + 1464*j - 208 = 0.
-1/2, 2/9, 26
Let -5*s**3 - 60*s**2 + 5*s + 60 = 0. What is s?
-12, -1, 1
Suppose -3*n**4 + 201*n**3 + 207*n**2 - 201*n - 204 = 0. What is n?
-1, 1, 68
Determine w, given that -w**2/5 + 213*w/5 - 212/5 = 0.
1, 212
Factor 2*p**4 + 37*p**3 + 224*p**2 + 441*p.
p*(p + 7)**2*(2*p + 9)
Factor 5*l**2 - 15*l - 140.
5*(l - 7)*(l + 4)
Solve -55*l**4 + 890*l**3 - 3515*l**2 + 4240*l - 660 = 0.
2/11, 2, 3, 11
Suppose 8*i**3 - 62*i**2 + 104*i + 30 = 0. What is i?
-1/4, 3, 5
Solve -u**5/2 + 7*u**4/10 + 33*u**3/10 - 79*u**2/10 + 28*u/5 - 6/5 = 0 for u.
-3, 2/5, 1, 2
Factor m**3/7 - 284*m**2/7 + 3036*m - 152352/7.
(m - 138)**2*(m - 8)/7
Factor -u**3 - 2*u**2 + u + 2.
-(u - 1)*(u + 1)*(u + 2)
Let u**4/4 + 7*u**3/2 + 35*u**2/4 + 11*u/2 = 0. Calculate u.
-11, -2, -1, 0
Determine y so that -y**2/2 + 3*y/2 + 9 = 0.
-3, 6
Find c, given that c**2/3 + 640*c + 307200 = 0.
-960
Factor 3*l**3/4 + 3*l**2/4 - 3*l - 3.
3*(l - 2)*(l + 1)*(l + 2)/4
Suppose -o**2/8 + 11*o/4 + 23/8 = 0. Calculate o.
-1, 23
Factor 5*l**4 + 3500*l**3 + 918750*l**2 + 107187500*l + 4689453125.
5*(l + 175)**4
Let -d**4/2 - 8*d**3 + 16*d**2 + 384*d - 1152 = 0. Calculate d.
-12, 4
Let 2*t**5 - 96*t**4/11 - 232*t**3/11 + 96*t**2/11 = 0. Calculate t.
-2, 0, 4/11, 6
Factor -2*a**3/11 - 20*a**2/11 + 46*a/11 - 24/11.
-2*(a - 1)**2*(a + 12)/11
Determine u, given that 5*u**4 - 165*u**3 + 1185*u**2 - 715*u - 2070 = 0.
-1, 2, 9, 23
Let -198*k**2 + 1581*k/2 + 6 = 0. What is k?
-1/132, 4
Factor 3*d**2 - 462*d + 17787.
3*(d - 77)**2
Factor -3*k**5/4 - 141*k**4/4 - 69*k**3/2.
-3*k**3*(k + 1)*(k + 46)/4
Determine c, given that c**2/9 + 322*c/9 - 323/9 = 0.
-323, 1
Let -2*d**4/7 - 22*d**3/7 - 76*d**2/7 - 104*d/7 - 48/7 = 0. Calculate d.
-6, -2, -1
Solve 5*t**5 + 5*t**4 - 970*t**3 + 1750*t**2 + 51205*t - 207515 = 0 for t.
-11, 7
Let -11*l**4 + 188*l**3 - 127*l**2 - 1046*l + 96 = 0. What is l?
-2, 1/11, 3, 16
Solve -2*t**4 + 34*t**3 + 76*t**2 = 0.
-2, 0, 19
Solve h**4/4 - 7*h**2/4 - 3*h/2 = 0 for h.
-2, -1, 0, 3
Let 11*z**4 + z**3 - 33*z**2 - 25*z - 2 = 0. Calculate z.
-1, -1/11, 2
Find i, given that -i**5/9 + 124*i**4/9 - 365*i**3/9 + 242*i**2/9 = 0.
0, 1, 2, 121
Suppose 4*z**2/5 + 32*z/5 + 12 = 0. What is z?
-5, -3
Suppose f**4/4 + 165*f**3/4 - 671*f**2/4 + 843*f/4 - 169/2 = 0. Calculate f.
-169, 1, 2
Factor d**2/4 + 7*d/4 - 15.
(d - 5)*(d + 12)/4
Let -2*f**3/5 + 256*f**2/5 - 8192*f/5 = 0. What is f?
0, 64
Factor 2*b**4/13 - 86*b**3/13 + 126*b**2/13 + 2646*b - 370440/13.
2*(b - 21)**3*(b + 20)/13
Solve 3*g**4 + 48*g**3 + 171*g**2 + 42*g - 264 = 0.
-11, -4, -2, 1
Solve 32*q**4 - 504*q**3 + 812*q**2 - 396*q + 56 = 0 for q.
1/4, 1/2, 1, 14
Factor 4*n**4 + 388*n**3 - 1236*n**2 - 3620*n - 2000.
4*(n - 5)*(n + 1)**2*(n + 100)
Suppose 4*d**4 - 12*d**2 - 8*d = 0. What is d?
-1, 0, 2
Factor 18*r**4/7 - 12*r**3/7 - 40*r**2/7 - 16*r/7.
2*r*(r - 2)*(3*r + 2)**2/7
Let -s**3/7 - 4*s**2/7 - s/7 + 6/7 = 0. What is s?
-3, -2, 1
Find n, given that -3*n**3 - 180*n**2 - 339*n + 522 = 0.
-58, -3, 1
Factor -2*l**4/3 + 58*l**3 - 170*l**2 + 506*l/3 - 56.
-2*(l - 84)*(l - 1)**3/3
Solve -2*k**5 + 10*k**4 + 28*k**3 + 4*k**2 - 26*k - 14 = 0.
-1, 1, 7
Factor 3*z**4/4 - 3*z**3/2 - 57*z**2/4 - 21*z - 9.
3*(z - 6)*(z + 1)**2*(z + 2)/4
Factor 2*a**2/5 - 992*a/5 + 123008/5.
2*(a - 248)**2/5
Factor 507*p**3 + 1287*p**2 - 675*p + 81.
3*(p + 3)*(13*p - 3)**2
Suppose 2*s**2 + 48*s - 162 = 0. What is s?
-27, 3
Factor -44944*f**2 + 424*f - 1.
-(212*f - 1)**2
Factor -t**4/3 + 14*t**3/3 + 40*t**2/3 - 128*t/3.
-t*(t - 16)*(t - 2)*(t + 4)/3
Factor 1012*k**2/3 - 87*k + 2/3.
(4*k - 1)*(253*k - 2)/3
Factor 16*d**3 - 4332*d - 27436.
4*(d - 19)*(2*d + 19)**2
Factor -d**2/4 - 27*d/2 - 26.
-(d + 2)*(d + 52)/4
Let -w**5 + 39*w**4 - 222*w**3 - 3022*w**2 - 7521*w - 4761 = 0. What is w?
-3, -1, 23
Factor -2*n**2/11 - 32*n/11 - 30/11.
-2*(n + 1)*(n + 15)/11
Factor v**3 - 18*v**2 + 44*v + 168.
(v - 14)*(v - 6)*(v + 2)
Find n such that 2*n**5/9 - 22*n**4/9 - 26*n**3/3 - 82*n**2/9 - 28*n/9 = 0.
-1, 0, 14
Solve 7*h**5/5 + 19*h**4/5 + 3*h**3 + h**2/5 - 2*h/5 = 0.
-1, 0, 2/7
Solve 4*b**4/5 = 0.
0
Factor 5*q**3 - 27*q**2 + 30*q - 8.
(q - 4)*(q - 1)*(5*q - 2)
Factor -2*k**3/5 - 28*k**2 - 266*k/5 + 408/5.
-2*(k - 1)*(k + 3)*(k + 68)/5
Suppose 2*x**3 - 76*x**2/7 + 122*x/7 - 60/7 = 0. What is x?
1, 10/7, 3
Solve -8*g**5 - 84*g**4 - 204*g**3 - 44*g**2 + 84*g = 0 for g.
-7, -3, -1, 0, 1/2
Find x such that 5*x**2 - 240*x + 2880 = 0.
24
Factor -5*m**5/3 - 70*m**4/3 - 230*m**3/3 - 320*m**2/3 - 205*m/3 - 50/3.
-5*(m + 1)**4*(m + 10)/3
Solve 4*i**3 - 4*i**2 - 384*i + 1584 = 0.
-11, 6
Factor 3*l**4 - 30*l**3 - 93*l**2 + 264*l - 144.
3*(l - 12)*(l - 1)**2*(l + 4)
Determine b, given that -4*b**2 - 4192*b + 4196 = 0.
-1049, 1
Solve 105*x**4/4 + 1083*x**3/4 - 510*x**2 + 249*x - 36 = 0 for x.
-12, 2/7, 2/5, 1
Factor 2*p**5/3 + 10*p**4/3 + 6*p**3 + 14*p**2/3 + 4*p/3.
2*p*(p + 1)**3*(p + 2)/3
Factor y**2/3 - 23*y/3 - 140/3.
(y - 28)*(y + 5)/3
Factor -2*i**3/3 + 92*i**2 - 4232*i + 194672/3.
-2*(i - 46)**3/3
Find m such that 2*m**5/15 + 2*m**4/3 + 2*m**3/3 - 2*m**2/3 - 4*m/5 = 0.
-3, -2, -1, 0, 1
Factor -v**5/7 + 3*v**4/7 + 6*v**3/7 - 10*v**2/7 - 3*v - 9/7.
-(v - 3)**2*(v + 1)**3/7
Factor 30*h**4 + 65*h**3 + 35*h**2.
5*h**2*(h + 1)*(6*h + 7)
Factor 6*a**4 - 32*a**3 + 46*a**2 - 12*a.
2*a*(a - 3)*(a - 2)*(3*a - 1)
Factor 2*v**4 - 2*v**3 - 8*v**2 + 8*v.
2*v*(v - 2)*(v - 1)*(v + 2)
Find g, given that -g**3 - 18*g**2 - 15*g + 34 = 0.
-17, -2, 1
Suppose 3*i**3/7 + 6*i**2/7 = 0. Calculate i.
-2, 0
Factor -2625*j**3 - 800*j**2 - 5*j + 10.
-5*(5*j + 1)**2*(21*j - 2)
Factor -3*x**3/7 - 153*x**2/7 - 2013*x/7 - 1863/7.
-3*(x + 1)*(x + 23)*(x + 27)/7
Determine q so that 48*q**5/7 - 240*q**4/7 - 600*q**3/7 - 480*q**2/7 -