3)
Find c, given that 3*c**5 - 27*c**4 + 69*c**3 - 45*c**2 = 0.
0, 1, 3, 5
Solve 2*q**3 + 6*q**2 - 8*q = 0 for q.
-4, 0, 1
Solve -h**2 - 12*h - 27 = 0 for h.
-9, -3
Let -5*a**3 + 25*a**2 + 5*a - 25 = 0. What is a?
-1, 1, 5
Factor 2*b**2/5 - 78*b/5 + 152.
2*(b - 20)*(b - 19)/5
Solve -3*v**4 + 129*v**3 + 273*v**2 - 129*v - 270 = 0 for v.
-2, -1, 1, 45
Solve -o**5/8 + o**4 - 3*o**3 + 17*o**2/4 - 23*o/8 + 3/4 = 0.
1, 2, 3
Factor 4*v**2 + 4*v - 24.
4*(v - 2)*(v + 3)
Suppose 7*l**3/9 - 142*l**2/9 - 268*l/9 + 88/9 = 0. Calculate l.
-2, 2/7, 22
Suppose -2*h**5/9 + 4*h**4 - 76*h**3/3 + 544*h**2/9 - 10*h - 100 = 0. What is h?
-1, 3, 5, 6
Solve h**2/2 - 868*h + 376712 = 0.
868
Factor -4*j**3/5 + 148*j**2/5 + 104*j - 320.
-4*(j - 40)*(j - 2)*(j + 5)/5
What is i in 3*i**2/5 + 57*i/5 + 102/5 = 0?
-17, -2
Determine g so that 3*g**4/7 - 9*g**3/7 - 9*g**2/7 + 3*g + 18/7 = 0.
-1, 2, 3
Suppose -r**3 - 2*r**2 + 3*r = 0. Calculate r.
-3, 0, 1
Factor 4*n**5 - 4*n**4 - 12*n**3 + 4*n**2 + 8*n.
4*n*(n - 2)*(n - 1)*(n + 1)**2
Solve -3*r**3/4 - 2007*r**2/2 + 8037*r/4 - 1005 = 0.
-1340, 1
What is s in s**3/6 - s**2/2 - 2*s/3 + 2 = 0?
-2, 2, 3
Determine z so that 5*z**5 - 15*z**4 - 105*z**3 + 55*z**2 + 240*z - 180 = 0.
-3, -2, 1, 6
Determine s, given that 3*s**5 + 42*s**4 - 267*s**3 + 354*s**2 + 204*s - 456 = 0.
-19, -1, 2
Suppose 2*o**2/11 - 64*o/11 = 0. What is o?
0, 32
Solve 4*x**5/7 - 44*x**4/7 - 104*x**3/7 - 8*x**2/7 + 100*x/7 + 52/7 = 0 for x.
-1, 1, 13
Suppose -4*b**5 + 60*b**4 - 56*b**3 = 0. Calculate b.
0, 1, 14
What is u in -2*u**3 - 8*u**2 + 90*u = 0?
-9, 0, 5
Find o such that 2*o**2/5 + 3666*o/5 - 3668/5 = 0.
-1834, 1
Find w such that 2*w**4/9 + 94*w**3/9 - 100*w**2/3 + 8*w/9 + 400/9 = 0.
-50, -1, 2
Factor -r**3/3 - 6*r**2 + 61*r/3 - 14.
-(r - 2)*(r - 1)*(r + 21)/3
Find l, given that 2*l**5/9 + 4*l**4/3 - 74*l**3/9 - 148*l**2/3 + 8*l + 48 = 0.
-6, -1, 1, 6
Solve -21*j**2/4 + 32*j - 3 = 0.
2/21, 6
Factor 15*t**5 + 327*t**4 + 2634*t**3 + 9180*t**2 + 11016*t - 2592.
3*(t + 4)*(t + 6)**3*(5*t - 1)
Let -14*x**5 - 32*x**4 + 566*x**3 + 752*x**2 + 168*x = 0. Calculate x.
-7, -1, -2/7, 0, 6
Solve -5*x**2 + 55*x - 50 = 0.
1, 10
Factor -3*g**2/4 + 387*g/4.
-3*g*(g - 129)/4
Suppose 9*b**4 + 57*b**3 + 99*b**2 + 63*b + 12 = 0. Calculate b.
-4, -1, -1/3
Suppose -2*f**5 - 14*f**4/5 - 4*f**3/5 = 0. Calculate f.
-1, -2/5, 0
Factor -s**4/3 + 13*s**3/3 + 46*s**2/3 + 32*s/3.
-s*(s - 16)*(s + 1)*(s + 2)/3
Suppose 3*i**2 + 129*i + 360 = 0. What is i?
-40, -3
What is b in 5*b**5 - 5*b**4 - 2005*b**3 - 1995*b**2 = 0?
-19, -1, 0, 21
Solve 1336*s**4 - 3348*s**3 + 2692*s**2 - 684*s + 4 = 0 for s.
1/167, 1/2, 1
Let 5*l**3 + 5*l**2 - 10*l = 0. What is l?
-2, 0, 1
Let -p**3/3 + 16*p**2/3 - 80*p/3 + 128/3 = 0. Calculate p.
4, 8
Factor -2*y**2/15 + 8*y/15 + 14/5.
-2*(y - 7)*(y + 3)/15
What is q in 2*q**5/5 - 32*q**4/5 + 154*q**3/5 - 44*q**2 + 96*q/5 = 0?
0, 1, 6, 8
Factor -4*p**4 - 8*p**3 + 48*p**2 - 56*p + 20.
-4*(p - 1)**3*(p + 5)
Find d such that d**4 + 3*d**3 + 2*d**2 = 0.
-2, -1, 0
Factor -2*m**4/21 + 4*m**3/21 + 2*m**2/7 - 8*m/21 - 8/21.
-2*(m - 2)**2*(m + 1)**2/21
Factor -3*f**2/4 + 207*f/4 + 213/2.
-3*(f - 71)*(f + 2)/4
Solve h**4/5 + 4*h**3 - 3*h**2/5 - 62*h/5 - 8 = 0 for h.
-20, -1, 2
Solve -2*y**3 + 103*y**2 + 158*y + 53 = 0 for y.
-1, -1/2, 53
Factor 3*s**3/2 + 123*s**2/2 + 657*s/2 + 945/2.
3*(s + 3)**2*(s + 35)/2
Determine s, given that 3*s**2/4 - 6*s + 21/4 = 0.
1, 7
Determine i, given that 20*i**2 - 296*i - 60 = 0.
-1/5, 15
Factor 3*a**3/7 + 111*a**2 + 49920*a/7 - 50700/7.
3*(a - 1)*(a + 130)**2/7
Suppose 2*p**3/11 + 42*p**2/11 + 40*p/11 = 0. What is p?
-20, -1, 0
Find t such that -5*t**3/2 + 125*t**2/2 = 0.
0, 25
Find i such that i**3/4 + 17*i**2/4 - 89*i/4 - 105/4 = 0.
-21, -1, 5
Find w, given that -6*w**5/25 + 46*w**4/25 - 92*w**3/25 + 12*w**2/5 + 2*w/25 - 2/5 = 0.
-1/3, 1, 5
Factor 4*b**4 + 296*b**3 + 6964*b**2 + 55056*b + 138384.
4*(b + 6)**2*(b + 31)**2
Solve s**5/4 - 3*s**4 + 13*s**3 - 24*s**2 + 16*s = 0 for s.
0, 2, 4
Solve -4*g**2 - 72*g + 252 = 0 for g.
-21, 3
Factor -5*b**2 + 740*b - 27380.
-5*(b - 74)**2
Find l such that -3*l**4 + 9*l**3 + 54*l**2 = 0.
-3, 0, 6
Solve -r**2 - 26*r - 25 = 0.
-25, -1
Factor 35*m**3 + 495*m**2 + 885*m + 425.
5*(m + 1)**2*(7*m + 85)
Factor -4*h**5/5 + 12*h**4/5 - 9*h**3/5 + 2*h**2/5.
-h**2*(h - 2)*(2*h - 1)**2/5
Solve -9*w**4/5 - 69*w**3/5 - 42*w**2/5 = 0.
-7, -2/3, 0
Factor 3*a**3 - 204*a**2 + 4455*a - 30618.
3*(a - 27)**2*(a - 14)
Factor -3*i**3/2 + 2427*i**2 + 9717*i/2 + 2430.
-3*(i - 1620)*(i + 1)**2/2
Factor -2*i**2/5 + 466*i/5.
-2*i*(i - 233)/5
Factor u**2/4 - 21*u/4 + 17.
(u - 17)*(u - 4)/4
Suppose -2*k**5/11 - 38*k**4/11 - 212*k**3/11 - 140*k**2/11 + 98*k - 686/11 = 0. Calculate k.
-7, 1
Solve -n**2/5 - 268*n/5 - 267/5 = 0 for n.
-267, -1
Factor -11226*n**2/11 - 4*n/11.
-2*n*(5613*n + 2)/11
Factor -2*a**3/7 - 62*a**2/7 - 528*a/7 - 1368/7.
-2*(a + 6)**2*(a + 19)/7
Let 4*z**3 + 16*z**2 - 112*z + 128 = 0. Calculate z.
-8, 2
Suppose -4*x**4/5 + 192*x**3/5 + 196*x**2/5 = 0. Calculate x.
-1, 0, 49
Determine h so that 275*h**2/3 + 1373*h/3 - 10/3 = 0.
-5, 2/275
Let 4*o**2/7 - 368*o/7 + 8464/7 = 0. What is o?
46
Suppose 2*i**5/3 + 14*i**4/3 - 18*i**3 + 58*i**2/3 - 20*i/3 = 0. Calculate i.
-10, 0, 1
What is m in 2*m**3 + 28*m**2 - 30*m = 0?
-15, 0, 1
Find a such that -2*a**4/7 + 18*a**3/7 - 16*a**2/7 = 0.
0, 1, 8
Factor 22*s**2/9 + 158*s/9 + 28/9.
2*(s + 7)*(11*s + 2)/9
Factor 13*d**2/5 - 63*d/5 + 72/5.
(d - 3)*(13*d - 24)/5
Solve -15*h**4/2 - 67*h**3/2 + 51*h**2/2 + 51*h/2 - 10 = 0 for h.
-5, -4/5, 1/3, 1
Find i such that -5*i**3/3 - 100*i**2/3 + 260*i/3 + 880/3 = 0.
-22, -2, 4
Factor -2*u**2 - 50*u + 528.
-2*(u - 8)*(u + 33)
Let -u**3/6 + 34*u**2 - 2312*u + 157216/3 = 0. What is u?
68
Factor -4*j**2 - 320*j - 624.
-4*(j + 2)*(j + 78)
Factor 5*z**5 - 140*z**4 + 1105*z**3 - 1690*z**2.
5*z**2*(z - 13)**2*(z - 2)
Determine u, given that 6*u**2/7 - 78*u/7 + 180/7 = 0.
3, 10
Suppose 2*z**4/9 + 8*z**3/3 + 34*z**2/3 + 176*z/9 + 32/3 = 0. What is z?
-4, -3, -1
Solve -8*y**5/3 - 64*y**4/3 - 54*y**3 - 86*y**2/3 + 170*y/3 + 50 = 0 for y.
-3, -5/2, -1, 1
Suppose 2*w**5/3 - 48*w**4 + 2584*w**3/3 + 192*w**2 - 3456*w = 0. Calculate w.
-2, 0, 2, 36
Suppose 2*l**5/7 - 68*l**4/7 + 638*l**3/7 - 956*l**2/7 - 640*l/7 + 1024/7 = 0. Calculate l.
-1, 1, 2, 16
Factor r**3/3 - 5*r**2/3 - 56*r/3 + 20.
(r - 10)*(r - 1)*(r + 6)/3
What is v in -5*v**3 + 18*v**2 + 33*v + 10 = 0?
-1, -2/5, 5
Solve -g**2/3 + 352*g/3 - 30976/3 = 0.
176
Suppose -2*x**2/7 - 2748*x/7 = 0. Calculate x.
-1374, 0
Solve 2*t**4/11 + 28*t**3/11 - 566*t**2/11 + 1472*t/11 - 936/11 = 0.
-26, 1, 2, 9
Suppose i**2 + 1576*i + 620944 = 0. What is i?
-788
Factor 4*i**4 + 220*i**3 - 248*i**2 - 1344*i.
4*i*(i - 3)*(i + 2)*(i + 56)
Solve -3*x**4 + 9*x**3 + 6*x**2 - 36*x + 24 = 0.
-2, 1, 2
Suppose 5*n**5/9 - 316*n**4/3 - 255*n**3 - 1726*n**2/9 - 128*n/3 = 0. Calculate n.
-1, -2/5, 0, 192
Determine b, given that 3*b**4 + 876*b**3 + 79068*b**2 + 2207520*b + 19051200 = 0.
-126, -20
Factor -15*m**2 - 6069*m + 2430.
-3*(m + 405)*(5*m - 2)
Solve u**2/4 + 5*u/4 - 75 = 0 for u.
-20, 15
Factor 14*t**2/3 - 62*t + 52/3.
2*(t - 13)*(7*t - 2)/3
Suppose -5*c**3 - 290*c**2 - 1560*c = 0. What is c?
-52, -6, 0
Factor -4*n**5 + 8*n**4 + 36*n**3 - 88*n**2 - 16*n + 96.
-4*(n - 2)**3*(n + 1)*(n + 3)
What is k in k**3/5 - 73*k**2/5 + 212*k/5 - 28 = 0?
1, 2, 70
Factor -5*p**3 + 15*p**2 + 1485*p + 8505.
-5*(p - 21)*(p + 9)**2
Factor p**2/5 - 714*p/5 + 127449/5.
(p - 357)**2/5
Factor 2*n**3 - 6*n**2 - 26*n + 30.
2*(n - 5)*(n - 1)*(n + 3)
Factor 2*f**2/9 - 12596*f/9 + 19832402/9.
2*(f - 3149)**2/9
Suppose -z**5 - 5*z**4 - z**3 + 13*z**2 + 2*z - 8 = 0. Calculate z.
-4, -2, -1, 1
Suppose -5*r**5 - 75*r**4 - 330*r**3 - 140*r**2 + 1560*r + 1440 = 0. What is r?
-6, -4, -1, 2
Let 28*c**4 - 60*c**3 + 4*c**2 + 60*c - 32 = 0. What is c?
-1, 1, 8/7
Let -3*p**2 + 4824*p - 1939248 = 0. What is p?
804
Find r such that -r**2 - 26*r - 133 = 0.
-19, -7
Determine w, given that 80*w**5 + 1080*w**4 + 325*w**3 - 2450*w**2 + 1095*w - 130 = 0.
-13, -2, 1/4, 1
Factor b**2 + 2340*b + 1368900.
(b + 1170)**2
Suppose -2*r**4/13 - 6*r**3/13 + 12*r**2/13 + 16*r/13 = 0. Calculate r.
-4, -1, 0, 2
Determine s so that 3*s**5 + 6*s**4 - 63*s**3 + 66*s**2 + 60*s 