**3 + 285*s**2 - 585*s + 295.
5*(s - 1)**2*(s + 59)
Solve -5*x**5 + 40*x**4 - 105*x**3 + 110*x**2 - 40*x = 0.
0, 1, 2, 4
Factor l**2/5 + 2237*l/5 - 2238/5.
(l - 1)*(l + 2238)/5
Suppose 5*u**5 + 10*u**4 - 170*u**3 - 40*u**2 + 1725*u - 2250 = 0. What is u?
-5, 2, 3
Let -q**5/4 - 7*q**4 - 297*q**3/4 - 729*q**2/2 - 783*q - 486 = 0. What is q?
-9, -6, -1
Solve 2*o**4/3 + 32*o**3/3 - 206*o**2/3 + 100*o/3 + 112 = 0.
-21, -1, 2, 4
Determine w, given that 3*w**2/4 + 195*w/2 = 0.
-130, 0
Factor 2*b**3/7 - 682*b**2/7 + 8544*b - 40320.
2*(b - 168)**2*(b - 5)/7
Factor u**3/3 - 29*u**2/3 - 176*u/3 + 68.
(u - 34)*(u - 1)*(u + 6)/3
Determine w, given that -2*w**3 + 26*w**2 - 64*w + 40 = 0.
1, 2, 10
Find j such that 3*j**3 + 287*j**2/2 + 1704*j - 288 = 0.
-24, 1/6
Determine a so that -3*a**3 + 18*a**2 - 24*a = 0.
0, 2, 4
Suppose 5*y**3/4 - 51*y**2/4 + 45*y/2 - 4 = 0. Calculate y.
1/5, 2, 8
Let -12*a**2/7 - 1977*a - 3459/7 = 0. What is a?
-1153, -1/4
Factor 36*q**4 - 8364*q**3 + 487201*q**2 - 161704*q + 13456.
(q - 116)**2*(6*q - 1)**2
Factor -3*c**2/2 + 75*c/2 - 99.
-3*(c - 22)*(c - 3)/2
Factor 5*q**5 + 245*q**4 - 1030*q**3 + 1570*q**2 - 1055*q + 265.
5*(q - 1)**4*(q + 53)
Let -f**2/4 - 81*f/2 - 450 = 0. Calculate f.
-150, -12
Suppose 3*n**2 + 39*n + 36 = 0. Calculate n.
-12, -1
Let 2*d**2/11 + 4*d + 22 = 0. What is d?
-11
Suppose u**2 - 191*u - 386 = 0. What is u?
-2, 193
Suppose -3*l**3 - 90*l**2 - 312*l = 0. Calculate l.
-26, -4, 0
Factor 2*j**3 + 138*j**2 - 282*j + 142.
2*(j - 1)**2*(j + 71)
Factor -s**2/2 - 1151*s - 1324801/2.
-(s + 1151)**2/2
Factor -3*a**2/4 + 33*a/2 - 171/4.
-3*(a - 19)*(a - 3)/4
Factor -2*y**2/7 + 316*y/7 - 12482/7.
-2*(y - 79)**2/7
Factor x**4 - 7*x**3 - 28*x**2 - 20*x.
x*(x - 10)*(x + 1)*(x + 2)
Suppose -3*f**2/2 - 189*f - 11907/2 = 0. Calculate f.
-63
Factor -g**2 + 822*g - 168921.
-(g - 411)**2
Find v, given that v**2/2 + 287*v - 575/2 = 0.
-575, 1
Factor -2*m**4/3 - 138*m**3 - 7210*m**2 - 21218*m/3.
-2*m*(m + 1)*(m + 103)**2/3
Factor 2*o**4/7 - 3372*o**3/7 + 1424666*o**2/7 - 2839224*o/7 + 1417928/7.
2*(o - 842)**2*(o - 1)**2/7
Solve -8*u**5 + 12*u**4 + 40*u**3 - 32*u - 12 = 0 for u.
-1, -1/2, 1, 3
Determine i, given that 2*i**2 - 40*i - 88 = 0.
-2, 22
Find n, given that -324*n**5 - 36*n**4 + 2168*n**3 - 1792*n**2 + 384*n = 0.
-3, 0, 4/9, 2
What is n in 2*n**3/5 - 10*n**2 + 176*n/5 - 168/5 = 0?
2, 21
Suppose -4*f**4 - 16*f**3 + 16*f**2 + 64*f = 0. What is f?
-4, -2, 0, 2
Suppose -h**5 - 188*h**4 + 765*h**3 - 580*h**2 - 764*h + 768 = 0. What is h?
-192, -1, 1, 2
Factor -h**2 + 45*h + 46.
-(h - 46)*(h + 1)
Let 2*w**3 - 18*w**2 + 36*w = 0. What is w?
0, 3, 6
Factor -8*t**3 - 15*t**2 + 66*t - 8.
-(t - 2)*(t + 4)*(8*t - 1)
Solve 5*f**2 + 145*f - 310 = 0.
-31, 2
Solve m**2 + 726*m + 131769 = 0 for m.
-363
What is g in 16*g**5 + 1508*g**4 + 38460*g**3 + 132300*g**2 - 121500*g = 0?
-45, -5, 0, 3/4
What is l in -2*l**2/9 + 26*l/9 + 20/3 = 0?
-2, 15
Let 2*m**3/15 + 2*m**2/5 - 8*m/15 - 8/5 = 0. Calculate m.
-3, -2, 2
Factor l**4 - l**3 - 14*l**2 + 24*l.
l*(l - 3)*(l - 2)*(l + 4)
Let -14*q**2/3 + 116*q/3 - 32/3 = 0. What is q?
2/7, 8
Factor 4*u**3 - 26*u**2 + 48*u - 18.
2*(u - 3)**2*(2*u - 1)
Determine w so that 25*w**2/2 - 2465*w/2 - 495 = 0.
-2/5, 99
Find g such that -92*g**3/5 - 176*g**2/5 - 76*g/5 + 8/5 = 0.
-1, 2/23
Factor j**3/5 - 7*j**2/5 + 11*j/5 - 1.
(j - 5)*(j - 1)**2/5
Find m, given that -236*m**2 - 15*m = 0.
-15/236, 0
Factor -2*r**3/3 - 42*r**2 - 882*r - 6174.
-2*(r + 21)**3/3
Factor 3*o**5 + 30*o**4 + 102*o**3 + 108*o**2 - 81*o - 162.
3*(o - 1)*(o + 2)*(o + 3)**3
Solve 5*d**4/3 - 50*d**3/3 + 80*d**2/3 + 150*d - 375 = 0.
-3, 3, 5
Factor -14*t**3 - 148*t**2 - 568*t/7 - 80/7.
-2*(t + 10)*(7*t + 2)**2/7
Factor 2*d**3/7 + 22*d**2/7 + 64*d/7 + 8.
2*(d + 2)**2*(d + 7)/7
Factor -k**5/2 - 8*k**4 - 39*k**3/2.
-k**3*(k + 3)*(k + 13)/2
Factor w**5 + 38*w**4 + 72*w**3.
w**3*(w + 2)*(w + 36)
Determine a so that 2*a**3/7 - 4*a**2/7 - 2*a - 8/7 = 0.
-1, 4
Suppose n**3/5 + 8*n**2/5 - 9*n/5 = 0. What is n?
-9, 0, 1
Suppose 4*d**4/7 - 12*d**3 + 80*d**2/7 = 0. Calculate d.
0, 1, 20
Solve 4*b**4 + 292*b**3 + 3432*b**2 - 71568*b + 127008 = 0.
-42, 2, 9
Factor 30*m**4 + 27*m**3 - 183*m**2 + 18*m.
3*m*(m - 2)*(m + 3)*(10*m - 1)
Factor c**3 + 84*c**2 + 1584*c - 7744.
(c - 4)*(c + 44)**2
What is w in 4*w**5 + 80*w**4 - 592*w**3 + 856*w**2 + 588*w - 936 = 0?
-26, -1, 1, 3
Suppose n**4/9 + 2*n**3 + 5*n**2/3 - 34*n/9 = 0. What is n?
-17, -2, 0, 1
Factor -3*h**4 - 231*h**3 - 1314*h**2 - 2580*h - 1704.
-3*(h + 2)**3*(h + 71)
Factor -c**2/3 - 8*c - 23/3.
-(c + 1)*(c + 23)/3
Suppose v**5/7 - 9*v**4/7 + 32*v**3/7 - 8*v**2 + 48*v/7 - 16/7 = 0. Calculate v.
1, 2
Suppose i**4/10 - 33*i**3/5 - 137*i**2/10 + 33*i/5 + 68/5 = 0. What is i?
-2, -1, 1, 68
Factor -3*v**4 + 45*v**3 - 18*v**2 - 1140*v - 1800.
-3*(v - 10)**2*(v + 2)*(v + 3)
Suppose 4*t**4/7 + 1284*t**3/7 - 4*t**2/7 - 1284*t/7 = 0. What is t?
-321, -1, 0, 1
Find m, given that 4*m**5 - 16*m**4 + 64*m**2 - 64*m = 0.
-2, 0, 2
Let -6*w**5/11 - 618*w**4/11 - 21228*w**3/11 - 279684*w**2/11 - 1481166*w/11 - 2450898/11 = 0. What is w?
-41, -9, -3
Suppose -2*l**4 + 6*l**3 - 6*l**2 + 2*l = 0. What is l?
0, 1
Factor d**4 - 5*d**3 - 2*d**2 + 24*d.
d*(d - 4)*(d - 3)*(d + 2)
Factor -2*y**3/9 - 28*y**2/9 - 82*y/9 + 112/9.
-2*(y - 1)*(y + 7)*(y + 8)/9
Factor -o**2/3 - 3*o - 14/3.
-(o + 2)*(o + 7)/3
Suppose -3*r**4 - 132*r**3 - 1161*r**2 + 6480*r - 5184 = 0. Calculate r.
-24, 1, 3
Factor 128*y**5 + 416*y**4 - 366*y**3 + 72*y**2.
2*y**2*(y + 4)*(8*y - 3)**2
Suppose 4*p**5/5 - 15*p**4 + 301*p**3/5 + 96*p**2 + 20*p = 0. What is p?
-1, -1/4, 0, 10
Find p such that -2*p**5 - 23*p**4 + 40*p**3 + 10*p**2 - 38*p + 13 = 0.
-13, -1, 1/2, 1
Suppose 4*o**5/3 - 13*o**4/3 - 16*o**3/3 + 61*o**2/3 - 12 = 0. Calculate o.
-2, -3/4, 1, 2, 3
Factor 3*s**3 + 27*s**2 - 192*s - 468.
3*(s - 6)*(s + 2)*(s + 13)
Solve -2*w**4/13 + 194*w**3/13 - 562*w**2/13 - 194*w/13 + 564/13 = 0.
-1, 1, 3, 94
Solve k**3/4 - 49*k**2/4 - k/4 + 49/4 = 0.
-1, 1, 49
Solve -2*b**3 + 1106*b**2 + 2*b - 1106 = 0.
-1, 1, 553
Determine q so that 3*q**5 - 45*q**4 + 114*q**3 - 72*q**2 = 0.
0, 1, 2, 12
What is k in 5*k**5 + 120*k**4 + 970*k**3 + 2880*k**2 + 2025*k = 0?
-9, -5, -1, 0
Factor 9*z**3 - 5565*z**2 + 861183*z - 286443.
3*(z - 309)**2*(3*z - 1)
Find h such that -2*h**2/13 - 2882*h/13 + 2884/13 = 0.
-1442, 1
Factor -5*z**3/6 + 80*z**2 - 155*z/2 - 475/3.
-5*(z - 95)*(z - 2)*(z + 1)/6
Determine y, given that -5*y**4 + 150*y**3 - 360*y**2 - 1190*y - 675 = 0.
-1, 5, 27
Factor 35*a**5 + 185*a**4 + 365*a**3 + 335*a**2 + 140*a + 20.
5*(a + 1)**3*(a + 2)*(7*a + 2)
Let -s**2/4 - 27*s/4 - 13/2 = 0. What is s?
-26, -1
Solve 48*z**5 + 556*z**4 + 244*z**3 - 724*z**2 - 196*z + 264 = 0.
-11, -1, 2/3, 3/4
What is n in -2*n**4/9 - 2*n**3/3 - 2*n**2/3 - 2*n/9 = 0?
-1, 0
Let -21*c**4 + 573*c**3 - 5013*c**2 + 14763*c - 3822 = 0. Calculate c.
2/7, 7, 13
Suppose -2*p**2/3 - 7*p/2 - 5/6 = 0. Calculate p.
-5, -1/4
Suppose -2100*r**3 + 8220*r**2 - 6741*r - 2646 = 0. What is r?
-2/7, 21/10
Suppose 2*o**2/21 + 64*o/21 - 10 = 0. Calculate o.
-35, 3
Suppose -c**5/4 + c**4 + 61*c**3/4 + 41*c**2 + 33*c = 0. What is c?
-3, -2, 0, 11
Factor -970*i**2 - 5*i.
-5*i*(194*i + 1)
Let -2*u**2/7 - 6*u/7 = 0. Calculate u.
-3, 0
Solve -q**2 + 446*q = 0 for q.
0, 446
Let -961*a**4/4 - 2821*a**3/2 - 1737*a**2 + 242*a - 8 = 0. What is a?
-4, -2, 2/31
Find g such that -g**2 - 18*g + 88 = 0.
-22, 4
Determine r, given that -8*r**4/13 - 752*r**3/13 - 2202*r**2/13 - 1642*r/13 - 28 = 0.
-91, -2, -1/2
Factor 3*x**4 + 78*x**3 + 600*x**2 + 1650*x + 1125.
3*(x + 1)*(x + 5)**2*(x + 15)
Factor -c**4/6 + 11*c**3/2 - 143*c**2/3 + 32*c + 256/3.
-(c - 16)**2*(c - 2)*(c + 1)/6
Factor -5*i**5 - 40*i**4 + 105*i**3 + 1900*i**2 + 6320*i + 6720.
-5*(i - 7)*(i + 3)*(i + 4)**3
Solve n**2/2 - 437*n/6 - 73/3 = 0.
-1/3, 146
Find u, given that -4*u**5 - 5*u**4/2 + 8*u**3 + 5*u**2 - 4*u - 5/2 = 0.
-1, -5/8, 1
Suppose -96*v**5/5 + 1772*v**4/5 - 2236*v**3/5 - 2532*v**2/5 + 1436*v/5 - 136/5 = 0. What is v?
-1, 1/8, 1/3, 2, 17
Find d, given that d**5/3 + 19*d**4/3 + 83*d**3/3 - 19*d**2/3 - 28*d = 0.
-12, -7, -1, 0, 1
Solve -m**5/3 + m**4/3 + 2*m**3 - 14*m**2/3 + 11*m/3 - 1 = 0 for m.
-3, 1
Factor 3*u**4 - 17*u**3 - 29*u**2 + 5*u + 14.
(u - 7)*(u