)**2
Solve -3*f**5 - 39*f**4 - 177*f**3 - 357*f**2 - 324*f - 108 = 0.
-6, -3, -2, -1
Suppose 35*d**2 + 4128*d - 236 = 0. What is d?
-118, 2/35
Suppose 27*p**4/2 + 30*p**3 + 39*p**2/2 + 3*p = 0. What is p?
-1, -2/9, 0
Suppose -r**4/4 + 6*r**3 - 43*r**2/4 - 6*r + 11 = 0. What is r?
-1, 1, 2, 22
Solve -729*s**5/11 - 30132*s**4/11 - 3456*s**3 + 34352*s**2/11 - 8304*s/11 + 640/11 = 0 for s.
-40, -2, 2/9
Find q, given that q**3/4 + 29*q**2/2 + 841*q/4 = 0.
-29, 0
Factor -4*i**2/3 + 132*i.
-4*i*(i - 99)/3
Solve -15*g**3 + 2885*g**2 - 139200*g + 46080 = 0 for g.
1/3, 96
Suppose -2*f**2 - 14*f - 24 = 0. What is f?
-4, -3
What is b in -2*b**3/9 + 4*b**2/3 + 2*b/9 - 20/3 = 0?
-2, 3, 5
Suppose -2*x**2/11 + 1890*x/11 + 172 = 0. What is x?
-1, 946
Factor 4382*g**2/11 + 2560*g/11 + 32/11.
2*(7*g + 4)*(313*g + 4)/11
Determine m so that -5*m**3 + 6025*m**2 - 1818040*m + 1812020 = 0.
1, 602
Factor 3*h**3 + 18*h**2 + 15*h.
3*h*(h + 1)*(h + 5)
Factor 3*f**4/7 - 12*f**3/7 + 18*f**2/7 - 12*f/7 + 3/7.
3*(f - 1)**4/7
Suppose 2*d**4/9 - 214*d**3/9 + 412*d**2/3 - 2440*d/9 + 1616/9 = 0. Calculate d.
2, 101
Let -2*h**2/9 - 688*h/9 - 686/9 = 0. What is h?
-343, -1
Factor 2*r**2 - 26*r - 840.
2*(r - 28)*(r + 15)
Factor -l**4 - 3*l**3 + l**2 + 3*l.
-l*(l - 1)*(l + 1)*(l + 3)
Solve 77618*j**3/13 + 79194*j**2/13 + 1584*j/13 + 8/13 = 0 for j.
-1, -2/197
Factor -6*f**2 - 64*f - 90.
-2*(f + 9)*(3*f + 5)
Solve 5*d**3 + 215*d**2 + 920*d - 1140 = 0.
-38, -6, 1
Solve 3*p**3/7 - 9*p**2/7 - 228*p/7 - 396/7 = 0 for p.
-6, -2, 11
Factor -n**3/4 - 19*n**2 - 361*n/4 - 213/2.
-(n + 2)*(n + 3)*(n + 71)/4
Factor 3*t**2/7 - 18*t/7 + 24/7.
3*(t - 4)*(t - 2)/7
What is p in -3*p**2 - 381*p + 384 = 0?
-128, 1
Factor 3*q**3/4 + 24*q**2 + 183*q/4 + 45/2.
3*(q + 1)**2*(q + 30)/4
Suppose -9*w**4/4 - 87*w**3/4 + 129*w**2/4 - 33*w/4 = 0. Calculate w.
-11, 0, 1/3, 1
Suppose 3*q**4 + 9*q**3 - 27*q**2 + 15*q = 0. Calculate q.
-5, 0, 1
What is x in 2*x**5 - 240*x**4 + 7762*x**3 + 29164*x**2 - 3288264*x - 3309424 = 0?
-17, -1, 46
Find z such that z**2/3 + 55*z/3 + 172 = 0.
-43, -12
Factor -3*a**3 - 12*a**2 + 87*a - 72.
-3*(a - 3)*(a - 1)*(a + 8)
What is a in -5*a**2/2 - 95*a - 180 = 0?
-36, -2
Factor -3*a**3/5 + 93*a**2/5 - 372*a/5 - 468/5.
-3*(a - 26)*(a - 6)*(a + 1)/5
Solve -2*w**4/7 + 16*w**3/7 - 40*w**2/7 + 32*w/7 = 0 for w.
0, 2, 4
Solve 5*p**3 + 2585*p**2 - 20*p - 10340 = 0.
-517, -2, 2
Let q**3 + 16*q**2 - 391*q - 406 = 0. What is q?
-29, -1, 14
Find h, given that -5*h**4 - 40*h**3 + 175*h**2 + 570*h - 1800 = 0.
-10, -4, 3
Factor 2*w**3/3 - 106*w**2/3 + 68*w.
2*w*(w - 51)*(w - 2)/3
Determine z so that -4*z**2 + 496*z + 500 = 0.
-1, 125
Factor 2*h**3/7 - 82*h**2/7 + 704*h/7 + 2904/7.
2*(h - 22)**2*(h + 3)/7
Suppose 4*l**2 - 14888*l = 0. What is l?
0, 3722
Solve l**5/3 - 2*l**3/3 + l/3 = 0 for l.
-1, 0, 1
Determine h so that -44*h**4 - 472*h**3 + 308*h**2 + 1888*h - 528 = 0.
-11, -2, 3/11, 2
Suppose g**4/3 - 7*g**3/3 + 8*g**2/3 + 16*g/3 = 0. What is g?
-1, 0, 4
Let t**5/3 + 26*t**4/3 = 0. Calculate t.
-26, 0
Factor 20*r**3 - 40*r**2 - 55*r - 15.
5*(r - 3)*(2*r + 1)**2
Find l such that -8*l**4/3 - 13*l**3/3 + 14*l**2/3 + 13*l/3 - 2 = 0.
-2, -1, 3/8, 1
Factor 2*g**4/13 - 20*g**3/13 + 34*g**2/13 - 16*g/13.
2*g*(g - 8)*(g - 1)**2/13
Factor l**2/4 - 65*l/4 - 33/2.
(l - 66)*(l + 1)/4
Let -2*f**4/5 - 6*f**3/5 + 636*f**2/5 - 2408*f/5 + 2352/5 = 0. Calculate f.
-21, 2, 14
Factor -3*q**3 - 15*q**2 - 24*q - 12.
-3*(q + 1)*(q + 2)**2
Solve -o**3/2 - 519*o**2 - 179574*o - 20710868 = 0 for o.
-346
Let -w**2/3 + 53*w + 162 = 0. Calculate w.
-3, 162
Suppose -3*l**2 - 15*l - 12 = 0. Calculate l.
-4, -1
Factor 147*n**4 + 336*n**3 + 87*n**2 + 6*n.
3*n*(n + 2)*(7*n + 1)**2
Determine i so that -2*i**3 + 4*i**2 + 26*i + 20 = 0.
-2, -1, 5
Factor -5*a**5 + 10*a**4 - 10*a**2 + 5*a.
-5*a*(a - 1)**3*(a + 1)
Solve 5*v**2 - 30*v - 35 = 0 for v.
-1, 7
Factor 2*w**2/5 + 22*w/5 + 12.
2*(w + 5)*(w + 6)/5
Factor 3*v**3 - 405*v**2 + 18225*v - 273375.
3*(v - 45)**3
Factor p**2 - 30*p + 29.
(p - 29)*(p - 1)
Factor 512*c**3/11 + 2624*c**2/11 + 322*c/11 + 10/11.
2*(c + 5)*(16*c + 1)**2/11
Factor 21*l**2/2 + 41*l + 40.
(l + 2)*(21*l + 40)/2
What is z in 4*z**2/3 + 940*z/3 + 1864/3 = 0?
-233, -2
Factor -1029*n**3 + 5292*n**2 - 9072*n + 5184.
-3*(7*n - 12)**3
Factor 2*i**2/7 - 192*i/7 + 4608/7.
2*(i - 48)**2/7
Let 6*n**3/11 + 438*n**2/11 - 456*n/11 - 888/11 = 0. What is n?
-74, -1, 2
Find p such that -p**5/7 - 2*p**4/7 + 4*p**3/7 + 8*p**2/7 = 0.
-2, 0, 2
Factor -10*u**2 + 55*u - 25.
-5*(u - 5)*(2*u - 1)
Let 2*g**2 + 27384*g + 93735432 = 0. What is g?
-6846
Solve -3*v**2/7 - 6*v/7 + 72/7 = 0 for v.
-6, 4
Factor 3*b**5 - 12*b**4 + 9*b**3 + 12*b**2 - 12*b.
3*b*(b - 2)**2*(b - 1)*(b + 1)
Factor s**5 - 74*s**4 + 1508*s**3 - 5110*s**2 + 3675*s.
s*(s - 35)**2*(s - 3)*(s - 1)
Find t, given that -3*t**2 + 357*t = 0.
0, 119
Factor -4*n**3 - 3924*n**2 - 960396*n + 964324.
-4*(n - 1)*(n + 491)**2
Suppose 4*v**5 + 48*v**4 + 144*v**3 - 56*v**2 - 660*v - 504 = 0. What is v?
-7, -3, -1, 2
Solve a**4 - 19*a**3/3 + 11*a**2 - 3*a = 0 for a.
0, 1/3, 3
Find m, given that 9*m**5/2 - 17*m**4 - 233*m**3/2 + 101*m**2 + 28*m = 0.
-4, -2/9, 0, 1, 7
Find f, given that -2*f**5 + 88*f**4 - 162*f**3 - 252*f**2 = 0.
-1, 0, 3, 42
Let -p**2/7 - 10*p + 456/7 = 0. Calculate p.
-76, 6
Let z**3/6 - 23*z**2/6 + 91*z/6 + 169/2 = 0. Calculate z.
-3, 13
Factor 4*y**5 + 284*y**4 - 580*y**3 + 292*y**2.
4*y**2*(y - 1)**2*(y + 73)
Factor n**4/7 - 97*n**3/7 + 3168*n**2/7 - 5120*n + 32768/7.
(n - 32)**3*(n - 1)/7
Find h, given that -h**5 - 13*h**4 + 29*h**3 - 15*h**2 = 0.
-15, 0, 1
Find l such that 2*l**3/9 + 52*l**2 - 158*l = 0.
-237, 0, 3
Solve -21*s**5/5 - 111*s**4/5 - 9*s**3/5 + 111*s**2/5 + 6*s = 0 for s.
-5, -1, -2/7, 0, 1
Let -3*w**2/8 - 3939*w/2 - 5171907/2 = 0. What is w?
-2626
Determine x, given that 4*x**3 + 12*x**2 - 832*x = 0.
-16, 0, 13
Solve -5*g**5/3 - 158*g**4/3 - 1736*g**3/3 - 7280*g**2/3 - 6800*g/3 + 4000/3 = 0 for g.
-10, -2, 2/5
Factor 2*u**5 - 25*u**4 + 83*u**3 - 24*u**2 - 36*u.
u*(u - 6)**2*(u - 1)*(2*u + 1)
Factor -c**2 + 175*c.
-c*(c - 175)
Factor 2*q**3/9 - 58*q**2/3 + 1682*q/3 - 48778/9.
2*(q - 29)**3/9
Factor 3*t**5/4 + 159*t**4 + 33063*t**3/4 - 34347*t**2/2.
3*t**2*(t - 2)*(t + 107)**2/4
Determine w so that 3*w**2/7 + 54*w/7 + 33 = 0.
-11, -7
Let 4*d**3 + 88*d**2 + 164*d + 80 = 0. What is d?
-20, -1
Factor v**3/3 + 7*v**2/3 - 7*v - 9.
(v - 3)*(v + 1)*(v + 9)/3
Factor 3*f**2/2 - 30*f + 273/2.
3*(f - 13)*(f - 7)/2
Let -3*v**2/7 - 300*v/7 - 7500/7 = 0. What is v?
-50
Find g, given that -2*g**4 + 4*g**3 + 58*g**2 + 84*g = 0.
-3, -2, 0, 7
Let 30*k**5 + 63*k**4/2 - 60*k**3 - 9*k**2/2 + 3*k = 0. Calculate k.
-2, -1/4, 0, 1/5, 1
Determine h, given that 27*h**3 - 4869*h**2 - 32685*h/4 - 6825/2 = 0.
-5/6, 182
Let -2*s**4 + 2*s**3 + 8*s**2 - 8*s = 0. What is s?
-2, 0, 1, 2
Factor -d**4/6 + 5*d**3/6 - d**2.
-d**2*(d - 3)*(d - 2)/6
Solve -114*r**2/5 + 118*r/5 - 4/5 = 0.
2/57, 1
Find w, given that 2*w**5 - 4*w**4 - 144*w**3 + 436*w**2 - 434*w + 144 = 0.
-9, 1, 8
Find w, given that -4*w**5/7 - 264*w**4/7 - 828*w**3 - 6048*w**2 = 0.
-24, -21, 0
Determine b, given that b**5/3 + 2*b**4/3 - 2*b**3 - 8*b**2/3 + 5*b/3 + 2 = 0.
-3, -1, 1, 2
Suppose 2*a**2/3 - 18*a + 304/3 = 0. What is a?
8, 19
Factor -n**3/4 - 139*n**2/8 - 101*n/4 + 17.
-(n + 2)*(n + 68)*(2*n - 1)/8
Find p such that 3*p**4 + 17*p**3 + 14*p**2 = 0.
-14/3, -1, 0
Determine y, given that -4*y**4/15 + 122*y**3/15 - 34*y**2/3 - 122*y/15 + 58/5 = 0.
-1, 1, 3/2, 29
Factor 25*t**2 - 2*t.
t*(25*t - 2)
What is w in 3*w**4 - 12*w**3 - 39*w**2 + 120*w + 144 = 0?
-3, -1, 4
Let -2*r**2/7 - 240*r/7 + 738/7 = 0. Calculate r.
-123, 3
Factor 3*i**2/2 + 3681*i + 4516587/2.
3*(i + 1227)**2/2
Factor -4*f**4 + 4184*f**3 - 1114836*f**2 + 10836560*f - 26832400.
-4*(f - 518)**2*(f - 5)**2
Factor b**4 + 8*b**3 + 21*b**2 + 18*b.
b*(b + 2)*(b + 3)**2
Let 1170*m**2 + 268*m/5 - 16/5 = 0. What is m?
-2/25, 4/117
What is i in 3*i**5 + 60*i**4 + 153*i**3 - 12*i**2 - 204*i = 0?
-17, -2, 0, 1
Let -1369*t**3/4 - 1665*t**2/2 - 312*t - 32 = 0. Calculate t.
-2, -8/37
Factor 2*w**2/5 + 6*w - 252/5.
2*(w - 6)*(w + 21)/5
Find z such that -32*z**3 + 26*z - 6 = 0.
-1, 1/4, 3/4
Find j, given that -19*j**5/5 - 113*j**4/5 - 222*j**3/5 - 178*j**2/5 - 47*j/5 + 