 9*z**2 + 60*z + 36.
-3*(z - 2)*(z + 1)**2*(z + 6)
Factor 2*o**4 - 40*o**3 + 36*o**2 + 40*o - 38.
2*(o - 19)*(o - 1)**2*(o + 1)
Factor -3*a**3 - 33*a**2 - 54*a.
-3*a*(a + 2)*(a + 9)
Find j, given that 2*j**4/13 - 14*j**3/13 - 80*j**2/13 - 88*j/13 = 0.
-2, 0, 11
Factor -18*u**3 - 626*u**2 + 2948*u - 624.
-2*(u - 4)*(u + 39)*(9*u - 2)
Factor -25*r**3/9 - 47*r**2/3 - 116*r/9.
-r*(r + 1)*(25*r + 116)/9
What is q in 12*q**4 - 296*q**3 + 444*q**2 + 384*q - 368 = 0?
-1, 2/3, 2, 23
Find d such that 2*d**5 - 18*d**4 - 74*d**3 + 18*d**2 + 72*d = 0.
-3, -1, 0, 1, 12
Suppose -3*o**4/8 - 15*o**3/8 - 3*o**2/2 = 0. What is o?
-4, -1, 0
Factor f**3 - 47*f**2 - 260*f.
f*(f - 52)*(f + 5)
Solve b**5/3 - b**4/3 - 8*b**3/3 + 4*b**2 = 0 for b.
-3, 0, 2
Factor -5*v**3 + 255*v**2 - 495*v + 245.
-5*(v - 49)*(v - 1)**2
Suppose u**2/6 - 74*u/3 + 146/3 = 0. Calculate u.
2, 146
Factor 8*s**2/15 - 1498*s/15 + 374/15.
2*(s - 187)*(4*s - 1)/15
Let 3*t**5/7 - 51*t**4/7 + 345*t**3/7 - 1161*t**2/7 + 1944*t/7 - 1296/7 = 0. What is t?
3, 4
Let -n**4 + 5*n**3 - 5*n**2 - 5*n + 6 = 0. Calculate n.
-1, 1, 2, 3
Solve -z**3/4 + 3*z**2/4 + 5*z/2 = 0 for z.
-2, 0, 5
What is j in 3*j**4 - 80*j**3/3 + 78*j**2 - 72*j - 9 = 0?
-1/9, 3
Factor 2*a**3 - 86*a**2 + 1120*a - 4600.
2*(a - 23)*(a - 10)**2
Determine a, given that a**5/10 + a**4/2 - a**3/10 - 17*a**2/10 + 6*a/5 = 0.
-4, -3, 0, 1
Let 2*z**3/15 + 18*z**2/5 - 116*z/15 = 0. What is z?
-29, 0, 2
Suppose 26*u**5/7 - 8*u**4/7 - 26*u**3/7 + 8*u**2/7 = 0. What is u?
-1, 0, 4/13, 1
Find f, given that -2*f**3 + 36*f**2 - 210*f + 400 = 0.
5, 8
Factor -3*f**3 + 120*f**2 - 1575*f + 6750.
-3*(f - 15)**2*(f - 10)
Factor -2*r**3/7 + 762*r**2/7 - 108*r - 1520/7.
-2*(r - 380)*(r - 2)*(r + 1)/7
Determine n, given that -n**2/11 - 112*n/11 - 3136/11 = 0.
-56
Factor -o**2/4 + 49*o/4 - 279/2.
-(o - 31)*(o - 18)/4
Determine l so that 225*l**4 + 315*l**3 - 1810*l**2 + 560*l = 0.
-56/15, 0, 1/3, 2
Find z, given that 2*z**4/11 + 172*z**3/11 + 170*z**2/11 = 0.
-85, -1, 0
Find z such that z**4 - 2*z**3/3 - 9*z**2 + 6*z = 0.
-3, 0, 2/3, 3
Factor -r**2/11 - 86*r/11 - 85/11.
-(r + 1)*(r + 85)/11
Factor 2*m**2/5 - 92*m/5 + 258/5.
2*(m - 43)*(m - 3)/5
Suppose 3*x**3/8 - 225*x**2/8 - 231*x/4 = 0. Calculate x.
-2, 0, 77
Determine a, given that 5*a**3 + 160*a**2 - 5*a - 160 = 0.
-32, -1, 1
Factor 3*x**2/7 - 32376*x/7 + 87350448/7.
3*(x - 5396)**2/7
Find g, given that 2*g**5/5 - 2*g**4 - 246*g**3/5 + 1042*g**2/5 - 1316*g/5 + 528/5 = 0.
-11, 1, 2, 12
Factor -3*i**2 + 1704*i.
-3*i*(i - 568)
Factor 5*r**2/4 + 2098*r + 839.
(r + 1678)*(5*r + 2)/4
Let -3*t**5 - 27*t**4 + 87*t**3 + 243*t**2 + 132*t = 0. What is t?
-11, -1, 0, 4
Determine n, given that -165*n**5 - 10*n**4 + 330*n**3 + 20*n**2 - 165*n - 10 = 0.
-1, -2/33, 1
Solve -3*q**5/4 - 213*q**4/2 + 873*q**3/4 + 321*q**2 - 435*q - 432 = 0.
-144, -1, 2
Factor 24*r**4 - 286*r**3 + 1128*r**2 - 1440*r - 128.
2*(r - 4)**3*(12*r + 1)
Solve -q**2/4 - 28*q - 784 = 0 for q.
-56
Determine v, given that -12*v**4 + 236*v**3 + 644*v**2 - 604*v - 264 = 0.
-3, -1/3, 1, 22
Let 5*u**5 - 25*u**4 - 5*u**3 + 25*u**2 = 0. What is u?
-1, 0, 1, 5
Solve -2*w**2/13 + 4360*w/13 - 2376200/13 = 0.
1090
Suppose -8*s**4/9 + 28*s**3/9 + 316*s**2/9 + 224*s/3 + 48 = 0. Calculate s.
-2, -3/2, 9
Factor 5*l**4 - 285*l**3 + 3610*l**2 + 12900*l + 9000.
5*(l - 30)**2*(l + 1)*(l + 2)
Solve 2*s**5/9 + 4*s**4 - 88*s**3/3 + 560*s**2/9 - 128*s/3 = 0 for s.
-24, 0, 2
Factor 2*p**4 - 64*p**3 - 68*p**2 + 64*p + 66.
2*(p - 33)*(p - 1)*(p + 1)**2
Factor 3*w**2/2 - 168*w.
3*w*(w - 112)/2
Factor -4*s**3 + 25312*s**2 - 40043584*s.
-4*s*(s - 3164)**2
Suppose l**4 - 27*l**3 - 1632*l**2 - 15104*l = 0. Calculate l.
-16, 0, 59
Factor -4*s**2/3 + 340*s/3 + 728.
-4*(s - 91)*(s + 6)/3
What is s in -2*s**4 + 4*s**3 + 1064*s**2 + 8060*s - 9126 = 0?
-13, 1, 27
Solve 2*f**3 - 2*f = 0.
-1, 0, 1
Determine c, given that -4*c**3/3 - 812*c**2/3 - 42400*c/3 - 40000 = 0.
-100, -3
Factor -3*l**2/7 + 2670*l/7 - 594075/7.
-3*(l - 445)**2/7
What is x in x**5/3 - x**4/3 = 0?
0, 1
Factor -4*u**2 - 8040*u - 4040100.
-4*(u + 1005)**2
Factor q**4 + 48*q**3 + 567*q**2 - 432*q - 5184.
(q - 3)*(q + 3)*(q + 24)**2
Factor 10*k**4 - 216*k**3 - 88*k**2.
2*k**2*(k - 22)*(5*k + 2)
Factor 2*l**4 + 6*l**3 - 8*l**2 - 24*l.
2*l*(l - 2)*(l + 2)*(l + 3)
Factor -c**2 + 42*c + 43.
-(c - 43)*(c + 1)
Find x such that -x**3/2 - 35*x**2/4 + 49*x/2 - 10 = 0.
-20, 1/2, 2
Factor -5*d**3 + 50*d**2 + 65*d - 110.
-5*(d - 11)*(d - 1)*(d + 2)
Determine h, given that -2*h**2 - 660*h - 54450 = 0.
-165
Factor 2*y**3 + 20*y**2 - 2*y - 20.
2*(y - 1)*(y + 1)*(y + 10)
Solve -2*p**2 - 20*p - 18 = 0.
-9, -1
Factor 4*h**4 + 184*h**3 - 2704*h**2 - 145336*h + 147852.
4*(h - 27)*(h - 1)*(h + 37)**2
Factor -2*c**2/5 - 84*c/5 - 882/5.
-2*(c + 21)**2/5
Suppose y**3/7 + 100*y**2/7 = 0. What is y?
-100, 0
Factor -4*f**5/7 - 48*f**4/7 - 144*f**3/7.
-4*f**3*(f + 6)**2/7
Factor l**3/6 + 23*l**2/6 + 7*l.
l*(l + 2)*(l + 21)/6
Factor 3*q**2 + 36*q - 135.
3*(q - 3)*(q + 15)
Factor 5*r**3 - 10*r**2 - 1365*r - 1350.
5*(r - 18)*(r + 1)*(r + 15)
Solve a**3/2 - 13*a**2 - 55*a/2 - 14 = 0.
-1, 28
What is q in q**2/4 - 11*q/4 + 6 = 0?
3, 8
Let 50*k**4 + 1940*k**3 + 19578*k**2 + 14744*k + 2888 = 0. Calculate k.
-19, -2/5
Determine z so that -3*z**4/8 - 17*z**3/8 - 3*z**2 + 3*z/2 + 4 = 0.
-8/3, -2, 1
Factor 2*o**3/3 - 2*o**2/3 - 88*o/3 + 56.
2*(o - 6)*(o - 2)*(o + 7)/3
Factor k**3/3 - 16*k**2 + 192*k - 2048/3.
(k - 32)*(k - 8)**2/3
Find b, given that 2*b**3/3 - 64*b**2/3 + 62*b/3 = 0.
0, 1, 31
Let l**4 + 44*l**3 - 7*l**2 - 302*l + 264 = 0. Calculate l.
-44, -3, 1, 2
Find y such that y**2/2 + 31*y/2 + 29 = 0.
-29, -2
Suppose 5*g**5/4 - 15*g**4/4 - 65*g**3/2 - 45*g**2/2 + 125*g/4 + 105/4 = 0. What is g?
-3, -1, 1, 7
Factor -6*o**4 + 10*o**3 + 8*o**2 - 8*o.
-2*o*(o - 2)*(o + 1)*(3*o - 2)
Find w such that -w**5/10 + 43*w**4/10 - 267*w**3/10 + 553*w**2/10 - 236*w/5 + 72/5 = 0.
1, 4, 36
Find n such that -2*n**2/11 - 244*n/11 + 750/11 = 0.
-125, 3
Factor f**2/2 - 33*f/2 - 35.
(f - 35)*(f + 2)/2
Suppose 2*z**3/9 + 34*z**2/9 + 14*z - 18 = 0. Calculate z.
-9, 1
Suppose -2*p**5/13 + 22*p**4/13 + 2*p**3/13 - 22*p**2/13 = 0. What is p?
-1, 0, 1, 11
Solve 4*b**5/11 - 18*b**4/11 - 50*b**3/11 + 60*b**2/11 + 136*b/11 + 48/11 = 0 for b.
-2, -1, -1/2, 2, 6
Let -1568*v**2 - 336*v - 18 = 0. What is v?
-3/28
Find v, given that v**5/3 + 12*v**4 + 133*v**3/3 + 54*v**2 + 64*v/3 = 0.
-32, -2, -1, 0
Find n, given that 4*n**5 - 9308*n**4 + 5410272*n**3 + 5419584*n**2 = 0.
-1, 0, 1164
Find c, given that 3*c**3/7 + 123*c**2/7 - 255*c/7 + 129/7 = 0.
-43, 1
Factor -65*x**3 + 330*x**2 - 25*x.
-5*x*(x - 5)*(13*x - 1)
Find u such that 25*u**5 + 10*u**4 - 25*u**3 - 10*u**2 = 0.
-1, -2/5, 0, 1
Factor 5*x**2 - 21300*x + 22684500.
5*(x - 2130)**2
Suppose 38*i**5/7 + 496*i**4/7 + 26*i**3/7 = 0. What is i?
-13, -1/19, 0
What is x in -2*x**5/17 + 18*x**4/17 - 40*x**3/17 - 40*x**2/17 + 192*x/17 - 128/17 = 0?
-2, 1, 2, 4
Solve -3*w**3 + 123*w**2 + 555*w - 675 = 0.
-5, 1, 45
Factor 6*f**2/5 + 18864*f + 74135520.
6*(f + 7860)**2/5
Determine s so that 2*s**5 - 4*s**4 - 4*s**3 + 16*s**2 - 14*s + 4 = 0.
-2, 1
Determine l so that -l**4/4 - 11*l**3 - 43*l**2/4 = 0.
-43, -1, 0
Suppose -3*c**4 + 87*c**3 + 90*c**2 = 0. What is c?
-1, 0, 30
Factor 2*l**2/3 + 142*l/3 + 260.
2*(l + 6)*(l + 65)/3
Determine t so that t**3/5 + 43*t**2/5 + 8*t - 84/5 = 0.
-42, -2, 1
Let -4*h**5 + 2460*h**4 - 381900*h**3 + 1130980*h**2 - 1126080*h + 374544 = 0. Calculate h.
1, 306
Find v such that 20*v**2/7 + 1124*v/7 + 32 = 0.
-56, -1/5
Factor -2*q**2/3 - 48*q - 910/3.
-2*(q + 7)*(q + 65)/3
Determine f, given that -f**2 - 26*f + 27 = 0.
-27, 1
Factor -1782*u**3/5 - 126*u**2 - 16*u/5 + 8/5.
-2*(9*u + 2)**2*(11*u - 1)/5
What is p in 2*p**2/13 + 16*p/13 - 306/13 = 0?
-17, 9
Solve -4*g**3/7 + 34*g**2/21 + 2*g/7 - 40/21 = 0 for g.
-1, 4/3, 5/2
Factor 2*h**4 - 36*h**3 - 166*h**2 - 216*h - 88.
2*(h - 22)*(h + 1)**2*(h + 2)
What is w in 2*w**5/9 + 64*w**4/9 + 722*w**3/9 + 3260*w**2/9 + 4600*w/9 + 2000/9 = 0?
-10, -1
Factor n**4/8 + n**3/4 - 13*n**2/8 + 5*n/4.
n*(n - 2)*(n - 1)*(n + 5)/8
Determine z so that 20*z**3 - 92*z**2 + 108*z - 36 = 0.
3/5, 1, 3
Find s such that -2*s**3 + 2*s**2 + 32*s - 32 = 0.
-4, 1, 4
Factor -q**3/2 + 27*q**2 + 169*q/2 +