20)**2/3
Solve 3*j**4/5 - 48*j**3/5 + 72*j**2/5 + 192*j + 240 = 0 for j.
-2, 10
Suppose -v**5/2 + v**4 + 11*v**3/2 - 2*v**2 - 14*v - 8 = 0. Calculate v.
-2, -1, 2, 4
Factor 14*w**2 - 102*w + 160.
2*(w - 5)*(7*w - 16)
Factor 11*f**3/2 + 13*f**2/2 - 65*f - 12.
(f - 3)*(f + 4)*(11*f + 2)/2
Factor 2*s**2/7 - 148*s/7 + 1488/7.
2*(s - 62)*(s - 12)/7
Factor g**3/11 + 17*g**2/11 + 92*g/11 + 160/11.
(g + 4)*(g + 5)*(g + 8)/11
Factor -5*j**3 - 220*j**2 + 460*j.
-5*j*(j - 2)*(j + 46)
Factor -2*h**5 - 30*h**4 - 100*h**3 - 140*h**2 - 90*h - 22.
-2*(h + 1)**4*(h + 11)
Factor 3*u**3 - 12*u**2 + 15*u - 6.
3*(u - 2)*(u - 1)**2
Let d**5/3 - 2*d**4 + 2*d**3/3 + 20*d**2/3 - 9*d + 10/3 = 0. Calculate d.
-2, 1, 5
Factor 3*p**3 + 129*p**2 + 942*p + 816.
3*(p + 1)*(p + 8)*(p + 34)
What is d in 2*d**3/11 + 184*d**2/11 + 5120*d/11 + 38400/11 = 0?
-40, -12
Determine r so that r**2 + 33*r - 34 = 0.
-34, 1
Factor 15*v**2 + 145*v - 220.
5*(v + 11)*(3*v - 4)
Let -5*a**5 - 50*a**4 + 135*a**3 + 180*a**2 = 0. What is a?
-12, -1, 0, 3
Let -2*h**5/9 - 16*h**4/9 + 2*h**3/9 + 16*h**2/9 = 0. What is h?
-8, -1, 0, 1
Let 3*v**5 + 117*v**4 = 0. What is v?
-39, 0
Find b, given that b**2/3 + 690*b + 357075 = 0.
-1035
Factor -3*h**4/4 - 9*h**3/4 + 3*h.
-3*h*(h - 1)*(h + 2)**2/4
Determine g, given that g**2/5 - 24*g/5 + 28 = 0.
10, 14
Factor -2*k**3/9 - 148*k**2/9 - 146*k/9.
-2*k*(k + 1)*(k + 73)/9
Suppose 16*a**3 + 1404*a**2 - 3232*a + 720 = 0. What is a?
-90, 1/4, 2
Factor f**2 + 771*f + 770.
(f + 1)*(f + 770)
Determine y so that 4*y**3/5 - 12*y**2/5 - 4*y/5 + 12/5 = 0.
-1, 1, 3
Factor -5*a**3 + 10*a**2 + 65*a + 50.
-5*(a - 5)*(a + 1)*(a + 2)
Factor -5*x**2 - 525*x - 2020.
-5*(x + 4)*(x + 101)
Determine s so that 3*s**2/5 + 21*s/5 + 18/5 = 0.
-6, -1
Solve 4*c**4/3 + 968*c**3/3 + 19196*c**2 - 118096*c/3 + 59536/3 = 0.
-122, 1
Let 108*g**5 + 828*g**4 + 2040*g**3 + 2032*g**2 + 864*g + 128 = 0. Calculate g.
-4, -2, -2/3, -1/3
Factor -5*r**2 - 40*r + 165.
-5*(r - 3)*(r + 11)
Factor -2*f**4 + 42*f**3 + 192*f**2 + 200*f.
-2*f*(f - 25)*(f + 2)**2
Determine z so that 2*z**3 + 32*z**2 - 78*z - 108 = 0.
-18, -1, 3
Factor -j**2/3 + 23*j/3 - 14.
-(j - 21)*(j - 2)/3
Find b such that 3*b**5/5 - 93*b**4/5 + 1137*b**3/5 - 6867*b**2/5 + 4104*b - 4860 = 0.
5, 6, 9
Suppose -5*g**3 + 95*g**2 = 0. What is g?
0, 19
Suppose -4*l**5 - 36*l**4 + 156*l**3 + 116*l**2 - 360*l - 288 = 0. What is l?
-12, -1, 2, 3
Suppose -3*y**4 - 81*y**3 + 360*y**2 - 372*y = 0. What is y?
-31, 0, 2
Factor -3*o**3/8 + 57*o**2/8 - 18*o - 135/2.
-3*(o - 15)*(o - 6)*(o + 2)/8
Determine o so that -15*o**3/8 - 729*o**2/8 - 279*o/2 + 141/2 = 0.
-47, -2, 2/5
Factor -y**4/10 - y**3/10.
-y**3*(y + 1)/10
Factor 3*s**3/7 - 12*s**2/7 - 297*s/7 - 702/7.
3*(s - 13)*(s + 3)*(s + 6)/7
Determine n, given that 5*n**4 - 50*n**3 + 115*n**2 - 70*n = 0.
0, 1, 2, 7
Suppose -3*x**4 + 141*x**3 - 120*x**2 - 828*x = 0. Calculate x.
-2, 0, 3, 46
Factor 4*z**2 + 196*z + 192.
4*(z + 1)*(z + 48)
Factor 2*b**2/7 - 712*b/7 - 1432/7.
2*(b - 358)*(b + 2)/7
Factor -d**2/4 - 38*d - 1444.
-(d + 76)**2/4
Let 2*b**2/11 - 78*b/11 = 0. Calculate b.
0, 39
Factor 2*y**4/7 + 54*y**3/7 + 276*y**2/7 + 520*y/7 + 48.
2*(y + 2)**3*(y + 21)/7
Solve -2*f**3/25 - 12*f**2/25 - 24*f/25 - 16/25 = 0 for f.
-2
Factor -4*m**2/5 - 8672*m/5.
-4*m*(m + 2168)/5
Factor k**3/4 - 67*k**2/4 + 374*k - 2783.
(k - 23)*(k - 22)**2/4
Solve -2*m**3/13 - 64*m**2/13 - 232*m/13 - 224/13 = 0 for m.
-28, -2
Factor 25*c**3/4 + 515*c**2/2 - 209*c + 42.
(c + 42)*(5*c - 2)**2/4
Factor -5*u**4 - 390*u**3 - 1500*u**2 - 1480*u.
-5*u*(u + 2)**2*(u + 74)
Factor s**5/5 + 8*s**4/5 + 21*s**3/5 + 22*s**2/5 + 8*s/5.
s*(s + 1)**2*(s + 2)*(s + 4)/5
Factor 3*m**4/4 - 3*m**3/4 - 9*m**2/2.
3*m**2*(m - 3)*(m + 2)/4
What is c in -c**2/4 + 15*c/2 + 31/4 = 0?
-1, 31
Let 4*r**5 - 8*r**4 - 40*r**3 + 80*r**2 + 36*r - 72 = 0. What is r?
-3, -1, 1, 2, 3
Let 4*y**3 + 28*y**2 - 160*y + 176 = 0. Calculate y.
-11, 2
Find l such that -5*l**2 - 50*l - 45 = 0.
-9, -1
Let 21*f**5/2 + 38*f**4 - 60*f**3 - 160*f**2 + 72*f + 32 = 0. Calculate f.
-4, -2, -2/7, 2/3, 2
Suppose -2*s**3/3 + 20*s**2/3 = 0. What is s?
0, 10
Find w, given that -2*w**4/5 + 6*w**3/5 + 162*w**2/5 + 154*w/5 = 0.
-7, -1, 0, 11
Find t, given that -5*t**2 + 29310*t - 42953805 = 0.
2931
Solve -k**5/6 - 3*k**4/2 - 5*k**3 - 22*k**2/3 - 4*k = 0 for k.
-3, -2, 0
Factor -5*u**5 + 35*u**4 + 200*u**3 + 220*u**2.
-5*u**2*(u - 11)*(u + 2)**2
Let -5*f**2 + 605 = 0. What is f?
-11, 11
Let -2*h**2/13 + 1642*h/13 + 3292/13 = 0. What is h?
-2, 823
Factor -5*u**5 + 4635*u**4 - 1432215*u**3 + 147518145*u**2.
-5*u**2*(u - 309)**3
What is m in 2*m**2/9 + 34*m/9 - 320/3 = 0?
-32, 15
Find g such that 6*g**2/7 - 34*g/7 - 12/7 = 0.
-1/3, 6
Suppose 4*f**3/7 - 2008*f**2/7 + 252004*f/7 = 0. What is f?
0, 251
Factor -2*u**2 - 110*u + 3792.
-2*(u - 24)*(u + 79)
Suppose -q**3/4 + 3*q**2/2 - 9*q/4 + 1 = 0. Calculate q.
1, 4
Let -2*j**3/5 + 36*j**2/5 + 168*j/5 + 176/5 = 0. What is j?
-2, 22
Solve j**4/3 + j**3 - 65*j**2 + 1225*j/3 - 750 = 0 for j.
-18, 5
Determine p, given that 3*p**5 - 9*p**4 - 3*p**3 + 9*p**2 = 0.
-1, 0, 1, 3
Find v, given that 2*v**2 - 640*v + 51200 = 0.
160
Solve -4*t**4 + 11*t**3 + 43*t**2 + 10*t = 0.
-2, -1/4, 0, 5
Find c, given that -c**2/5 - 14*c - 201/5 = 0.
-67, -3
Solve 3*h**2/8 - 15*h/8 - 9/4 = 0.
-1, 6
Let 4*q**4 - 76*q**3 + 52*q**2 + 348*q + 216 = 0. What is q?
-1, 3, 18
Factor -298374*b**3/11 - 53520*b**2 + 16002*b/11 - 108/11.
-6*(b + 2)*(223*b - 3)**2/11
Factor -24*c**2 - 1604*c + 268.
-4*(c + 67)*(6*c - 1)
Suppose -4*z**2 - 24*z + 28 = 0. What is z?
-7, 1
Solve -2*t**3/7 - 36*t**2/7 - 138*t/7 - 104/7 = 0 for t.
-13, -4, -1
Let -6*m**3 + 752*m**2/3 - 1864*m - 1280/3 = 0. Calculate m.
-2/9, 10, 32
Factor l**4/7 + 64*l**3/7 + 114*l**2 + 448*l + 343.
(l + 1)*(l + 7)**2*(l + 49)/7
Find z, given that -7*z**4 - 45*z**3/2 - 51*z**2/2 - 23*z/2 - 3/2 = 0.
-1, -3/14
What is k in -3*k**3/2 + 63*k**2/2 + 471*k/2 + 405/2 = 0?
-5, -1, 27
Factor -3*y**5 + 9*y**4 + 54*y**3 - 162*y**2 - 243*y + 729.
-3*(y - 3)**3*(y + 3)**2
Factor 2*r**2 - 66*r.
2*r*(r - 33)
Suppose -3*r**3 - 286*r**2/3 - 2240*r/3 + 512/3 = 0. Calculate r.
-16, 2/9
Let 4*z**4 - 32*z**3 + 56*z**2 + 32*z - 60 = 0. What is z?
-1, 1, 3, 5
Factor t**5 + 53*t**4 + 291*t**3 + 423*t**2.
t**2*(t + 3)**2*(t + 47)
Suppose -4*w**3 + 20*w**2 - 8*w - 32 = 0. What is w?
-1, 2, 4
Let 3*u**2 + 21*u - 54 = 0. What is u?
-9, 2
Let -2*p**5 + 38*p**3 + 68*p**2 - 24*p - 80 = 0. What is p?
-2, 1, 5
Factor b**4 - 4*b**3 + 2*b**2 + 4*b - 3.
(b - 3)*(b - 1)**2*(b + 1)
What is c in c**4/4 + 2*c**3 - 47*c**2/2 + 40*c - 75/4 = 0?
-15, 1, 5
Suppose -15*g**5 - 126*g**4 + 402*g**3 - 300*g**2 - 27*g + 66 = 0. Calculate g.
-11, -2/5, 1
Solve 4*b**5/5 + 88*b**4/5 + 492*b**3/5 + 232*b**2 + 1232*b/5 + 96 = 0.
-15, -2, -1
Let -9*x**5/4 - 93*x**4/4 - 46*x**3 - 33*x**2 - 8*x = 0. What is x?
-8, -1, -2/3, 0
Find t, given that 14*t**5 + 150*t**4 + 320*t**3 + 120*t**2 - 64*t = 0.
-8, -2, -1, 0, 2/7
Let 2*g**4/9 - 2*g**3 + 14*g**2/9 + 2*g - 16/9 = 0. Calculate g.
-1, 1, 8
What is h in 4*h**3 - 160*h**2 - 1072*h - 1472 = 0?
-4, -2, 46
Determine j, given that -2*j**3 + 96*j**2 - 1050*j - 2500 = 0.
-2, 25
Find x, given that 2*x**2 - 100*x + 1250 = 0.
25
Determine f so that f**2/7 - 10*f/7 - 39/7 = 0.
-3, 13
Let -w**2/4 + 781*w/4 + 391/2 = 0. Calculate w.
-1, 782
Suppose 20*j**5 - 248*j**4 + 996*j**3 - 1360*j**2 + 400*j = 0. What is j?
0, 2/5, 2, 5
Determine t, given that -18*t**4 + 5748*t**3 + 15430*t**2 + 8368*t + 1288 = 0.
-2, -1/3, 322
Let -60*q**3/7 + 13*q**2/7 + 11*q/7 = 0. What is q?
-1/3, 0, 11/20
Determine s so that -s**3 - 664*s**2 - 110224*s = 0.
-332, 0
Let 3*w**3/2 + 243*w**2/2 + 4797*w/2 - 5043/2 = 0. What is w?
-41, 1
Let -3*n**2/4 - 237*n/4 - 171 = 0. Calculate n.
-76, -3
Find i, given that 66*i**4 + 1664*i**3 + 11448*i**2 + 12096*i + 3456 = 0.
-12, -2/3, -6/11
What is b in -8*b**3/5 + 2764*b**2/5 + 1384*b/5 = 0?
-1/2, 0, 346
Factor z**2/9 + 8*z/9 - 16/3.
(z - 4)*(z + 12)/9
Find n such that -5*n**4 + 75*n**3 - 355*n**2 + 525*n = 0.
0, 3, 5, 7
Suppose h**5/6 - 2*h**4/3 + h**3/2 + 2*h**2/3 - 2*h/3 = 0. Calculate h.
-1, 0, 1, 2
Let k**5/3 + 8*k**4/3 + 2*k**3 - 8*k**2/3 - 7*k/3 = 0. What is k?
-7, -1, 0, 1
Find d such that -2*d**4/5 - 64*d**3/5 - 284*d**2/5 