/275, 6
Factor -g**2/6 + 55*g/3 + 575/6.
-(g - 115)*(g + 5)/6
Factor m**3 - 32*m**2 + 285*m - 450.
(m - 15)**2*(m - 2)
Factor -v**2/5 - 76*v/5 - 1444/5.
-(v + 38)**2/5
Suppose 5*y**4 + 2050*y**3 = 0. Calculate y.
-410, 0
Let n**4/3 - 32*n**3/3 - 1538*n**2/3 + 9568*n + 268203 = 0. What is n?
-23, 39
Let -4*s**3 + 132*s**2 + 280*s = 0. What is s?
-2, 0, 35
Factor m**2/6 - 25*m/6 + 23/3.
(m - 23)*(m - 2)/6
Solve -6*c**2/19 - 110*c/19 + 4 = 0.
-19, 2/3
Factor -4*c**2/11 + 14*c/11 + 4.
-2*(c + 2)*(2*c - 11)/11
Solve -n**2/2 - 479*n/2 - 239 = 0.
-478, -1
What is n in 2*n**4/7 - 3*n**3/7 - 4*n**2/7 + 3*n/7 + 2/7 = 0?
-1, -1/2, 1, 2
Determine x, given that 2*x**5 + 4*x**4 - 2*x**3 - 4*x**2 = 0.
-2, -1, 0, 1
Suppose -y**2/3 - 50*y/3 - 49/3 = 0. What is y?
-49, -1
Let 2*g**2/5 + 774*g/5 = 0. What is g?
-387, 0
Let 3*g**2/2 - 13*g/6 + 2/3 = 0. What is g?
4/9, 1
Factor 3*w**4 - 30*w**3 - 3*w**2 + 30*w.
3*w*(w - 10)*(w - 1)*(w + 1)
Find m such that 4*m**2 - 476*m - 968 = 0.
-2, 121
Solve 126*i**3 + 228*i**2 - 328*i/7 + 16/7 = 0 for i.
-2, 2/21
Find z, given that 3*z**4 + 153*z**3 + 2106*z**2 + 11340*z + 21384 = 0.
-33, -6
Factor 3*b**3/7 + 510*b**2/7 - 147*b + 516/7.
3*(b - 1)**2*(b + 172)/7
Factor 2*s**4/11 + 34*s**3/11 + 190*s**2/11 + 350*s/11.
2*s*(s + 5)**2*(s + 7)/11
Factor -3*l**3 - 75*l**2 - 357*l - 285.
-3*(l + 1)*(l + 5)*(l + 19)
Find g, given that g**4/4 - g**3/4 - 121*g**2/4 - 431*g/4 - 78 = 0.
-8, -3, -1, 13
Determine b so that b**2/2 - 434*b - 1744 = 0.
-4, 872
Factor -2*k**3/5 - 86*k**2/5 - 176*k + 968/5.
-2*(k - 1)*(k + 22)**2/5
Factor -2*t**2 - 912*t + 1832.
-2*(t - 2)*(t + 458)
Suppose r**5/8 - 5*r**4/4 - 9*r**3/2 - 19*r**2/4 - 13*r/8 = 0. What is r?
-1, 0, 13
Let 2*v**5/7 + 18*v**4/7 - 82*v**3/7 - 114*v**2/7 + 80*v/7 + 96/7 = 0. Calculate v.
-12, -1, 1, 4
Factor 3*o**3/2 - 84*o**2 + 2511*o/2 - 2187.
3*(o - 27)**2*(o - 2)/2
Determine o, given that -o**3/5 + 7*o**2/2 + 82*o/5 + 86/5 = 0.
-2, 43/2
Factor 7*a**4/5 - 17*a**3/5 + 13*a**2/5 - 3*a/5.
a*(a - 1)**2*(7*a - 3)/5
Solve -2*u**2/9 + 50*u/3 = 0.
0, 75
Suppose m**2/6 + 259*m/6 - 87 = 0. Calculate m.
-261, 2
Factor 4*d**3 + 228*d**2 + 2844*d - 10692.
4*(d - 3)*(d + 27)*(d + 33)
Suppose -1369*o**2/3 + 74*o/3 - 1/3 = 0. Calculate o.
1/37
Let -2*h**3/9 + 572*h**2/9 - 5570*h/9 + 4600/3 = 0. What is h?
5, 276
Solve -4*l**5 + 52*l**4 - 164*l**3 - 52*l**2 + 744*l - 576 = 0 for l.
-2, 1, 3, 8
Solve -5*q**5 - 325*q**4 - 1810*q**3 - 2330*q**2 + 1815*q + 2655 = 0.
-59, -3, -1, 1
Determine l, given that -4*l**4 - 36*l**3 + 16*l**2 + 144*l = 0.
-9, -2, 0, 2
Determine i, given that 2*i**4 - 26*i**3 - 8*i**2 + 104*i = 0.
-2, 0, 2, 13
What is t in -3*t**4 + 9*t**2 + 6*t = 0?
-1, 0, 2
Find q such that -q**3 + 196*q**2 - 771*q + 576 = 0.
1, 3, 192
Factor 4*x**3 - 30*x**2 - 16*x.
2*x*(x - 8)*(2*x + 1)
Solve z**4/5 - 52*z**3/5 + 814*z**2/5 - 3588*z/5 + 4761/5 = 0.
3, 23
Factor 3*d**3/4 - 1941*d**2/4 - 1947*d/2.
3*d*(d - 649)*(d + 2)/4
Factor 3*y**2 + 204*y + 3468.
3*(y + 34)**2
Factor -4*h**3 + 992*h**2 - 61504*h.
-4*h*(h - 124)**2
Determine b so that 40*b**4 - 52*b**3 + 12*b**2 = 0.
0, 3/10, 1
Find n, given that 8*n**5 + 19*n**4 + 14*n**3 + 3*n**2 = 0.
-1, -3/8, 0
Solve 10*t**4 - 215*t**3 - 590*t**2 - 240*t = 0.
-2, -1/2, 0, 24
Suppose -2*t**3 + 44*t**2 = 0. Calculate t.
0, 22
Solve 2*n**3 + 10*n**2 - 64*n + 72 = 0.
-9, 2
Factor 3*l**3 - 39*l**2 - 27*l + 351.
3*(l - 13)*(l - 3)*(l + 3)
Factor t**4 + 248*t**3 + 15864*t**2 + 60512*t + 59536.
(t + 2)**2*(t + 122)**2
Let g**3 + 5*g**2 - 6*g = 0. Calculate g.
-6, 0, 1
Factor 2*q**3/5 + q**2/5 - 5*q + 12/5.
(q - 3)*(q + 4)*(2*q - 1)/5
Solve 5*b**4 + 35*b**3 - 40*b**2 = 0 for b.
-8, 0, 1
What is k in k**5/8 - k**4/8 - 3*k**3/4 - k**2/4 + 5*k/8 + 3/8 = 0?
-1, 1, 3
Determine f, given that -363*f**2 - 61776*f - 2628288 = 0.
-936/11
Determine x so that -x**3/3 - x**2/3 + 7*x + 15 = 0.
-3, 5
Factor 5*s**2 - 585*s - 1190.
5*(s - 119)*(s + 2)
Determine v, given that 3*v**4 - 609*v**3/2 + 1032*v**2 - 579*v/2 - 441 = 0.
-1/2, 1, 3, 98
Factor -5*j**4 - 45*j**3 + 15*j**2 + 145*j + 90.
-5*(j - 2)*(j + 1)**2*(j + 9)
Factor -12*n**3 + 196*n**2 - 368*n - 336.
-4*(n - 14)*(n - 3)*(3*n + 2)
Factor d**5/9 + 403*d**4/9 + 41203*d**3/9 + 121201*d**2/9 + 120400*d/9 + 40000/9.
(d + 1)**3*(d + 200)**2/9
Factor -c**5/4 - 301*c**4/4 - 17025*c**3/2 - 860625*c**2/2 - 33328125*c/4 - 31640625/4.
-(c + 1)*(c + 75)**4/4
Factor 16*j**2/5 + 12*j + 36/5.
4*(j + 3)*(4*j + 3)/5
Solve g**4 - 64*g**3 + 1082*g**2 - 1736*g - 2883 = 0 for g.
-1, 3, 31
Solve u**4/2 - 4*u**3 + u**2 + 16*u + 21/2 = 0 for u.
-1, 3, 7
Find t, given that -t**5/3 + 59*t**4/3 - 382*t**3/3 + 956*t**2/3 - 1048*t/3 + 416/3 = 0.
1, 2, 52
Factor -2*q**2 - 238*q - 468.
-2*(q + 2)*(q + 117)
Find p such that -2*p**5 - 76*p**4 - 462*p**3 - 884*p**2 - 496*p = 0.
-31, -4, -2, -1, 0
Factor 182*w**3 + 606*w**2 - 188*w.
2*w*(7*w - 2)*(13*w + 47)
Find d, given that 5*d**5 + 5*d**4 - 20*d**3 - 20*d**2 = 0.
-2, -1, 0, 2
Solve -5*b**2 + 75*b - 130 = 0 for b.
2, 13
What is n in -2*n**3 + 46*n**2 + 48*n = 0?
-1, 0, 24
Factor -4*f**4 + 204*f**3 + 420*f**2 + 212*f.
-4*f*(f - 53)*(f + 1)**2
Factor 2*i**3 - 118*i**2 - 242*i - 122.
2*(i - 61)*(i + 1)**2
Find u, given that 8*u**5 + 126*u**4 + 328*u**3 - 1386*u**2 + 324*u = 0.
-9, 0, 1/4, 2
Find g, given that -3*g**3/4 - 195*g**2/4 + 399*g/4 - 201/4 = 0.
-67, 1
Let -5*d**4 - 2140*d**3 + 4300*d**2 = 0. Calculate d.
-430, 0, 2
Solve -6*w**4/5 + 24*w**3/5 + 294*w**2/5 + 624*w/5 + 72 = 0.
-3, -2, -1, 10
Find c such that -3*c**5/2 - 39*c**4/4 + 45*c**3/4 + 39*c**2 - 21*c = 0.
-7, -2, 0, 1/2, 2
Factor -2*q**3/3 - 76*q**2 - 296*q - 880/3.
-2*(q + 2)**2*(q + 110)/3
Factor -5*n**3 + 70*n**2 + 245*n + 170.
-5*(n - 17)*(n + 1)*(n + 2)
Factor y**5 - 19*y**4 + 78*y**3 + 304*y**2 - 1408*y - 3072.
(y - 8)**3*(y + 2)*(y + 3)
Solve -2*d**2 + 22*d - 20 = 0 for d.
1, 10
Factor -4*o**3 + 576*o**2 + 16*o - 2304.
-4*(o - 144)*(o - 2)*(o + 2)
Let 2*t**5/13 + 76*t**4/13 - 250*t**3/13 - 140*t**2/13 + 968*t/13 - 656/13 = 0. What is t?
-41, -2, 1, 2
Determine a, given that -a**3/4 - 55*a**2/2 - 1625*a/4 + 21125 = 0.
-65, 20
Factor -2*m**4 - 2*m**3 + 24*m**2.
-2*m**2*(m - 3)*(m + 4)
Let 338*n**4/3 + 910*n**3/3 - 304*n**2/3 + 8*n = 0. Calculate n.
-3, 0, 2/13
Find v such that 15*v**2 - 84*v - 36 = 0.
-2/5, 6
Solve k**4/6 + 9*k**3/2 + 27*k**2 = 0 for k.
-18, -9, 0
Factor -u**4/2 - 13*u**3/2 - 17*u**2 + 24*u.
-u*(u - 1)*(u + 6)*(u + 8)/2
Suppose -c**5/2 + 2*c**4 + 21*c**3/2 + 2*c**2 - 14*c = 0. What is c?
-2, 0, 1, 7
Find w, given that 3*w**5/5 + 22*w**4/5 + 7*w**3 - 4*w**2/5 - 4*w = 0.
-5, -2, -1, 0, 2/3
Factor -20*r**3 + 4025*r**2 - 990*r - 3015.
-5*(r - 201)*(r - 1)*(4*r + 3)
Find v such that 2*v**3 - 2352*v**2 + 921984*v - 120472576 = 0.
392
Determine z, given that -2*z**2/5 + 48*z/5 = 0.
0, 24
Factor s**2/7 + 6*s/7 - 40/7.
(s - 4)*(s + 10)/7
Let -2*u**3/7 - 4*u**2/7 + 6*u/7 = 0. Calculate u.
-3, 0, 1
Factor -2*v**2/7 - 2*v/7 + 144/7.
-2*(v - 8)*(v + 9)/7
Factor 2*x**4 + 836*x**3 + 116760*x**2 + 5487164*x + 5371238.
2*(x + 1)*(x + 139)**3
Factor -q**4 + 17*q**3 - 63*q**2 - 81*q.
-q*(q - 9)**2*(q + 1)
Factor p**2/5 - 4*p - 69/5.
(p - 23)*(p + 3)/5
Determine p so that -11*p**4 - 19*p**3 - 43*p**2/9 + 31*p/9 + 2/9 = 0.
-1, -2/33, 1/3
Solve -p**3/5 - 2*p**2/5 + 4*p/5 + 8/5 = 0.
-2, 2
Factor 4*d**2 + 2248*d + 315844.
4*(d + 281)**2
Factor -6*j**3/5 + 6264*j**2/5 - 2179872*j/5 + 252865152/5.
-6*(j - 348)**3/5
Factor 39*w**2/2 - 18*w.
3*w*(13*w - 12)/2
Let -u**3/2 + 57*u**2 - 3969*u/2 + 21870 = 0. What is u?
27, 60
Find d such that -53*d**3/2 - 54*d**2 - 57*d/2 - 1 = 0.
-1, -2/53
Suppose -3*a**4/5 - 162*a**3/5 - 567*a**2 - 3000*a + 3600 = 0. Calculate a.
-20, -15, 1
Suppose 4*d**2/5 + 48*d/5 + 108/5 = 0. Calculate d.
-9, -3
Solve 2*t**2/9 - 54*t - 164 = 0 for t.
-3, 246
Factor 2*d**3 - 1930*d**2 - 1936*d + 3864.
2*(d - 966)*(d - 1)*(d + 2)
What is u in 2*u**4 - 10*u**3 + 16*u**2 - 8*u = 0?
0, 1, 2
Factor -q**3 + 33*q**2/5 - 19*q/5 - 21.
-(q - 5)*(q - 3)*(5*q + 7)/5
Solve -2*f**5 - 10*f**4 - 6*f**3 + 10*f**2 + 8*f = 0.
-4, -1, 0, 1
Factor 2*d**4 + 72*d**3 - 8*d**2 - 288*d.
2*d*(d - 2)*(d + 2)*(d + 36)
Factor -5*s**3/6 + 3*s**2/2 + 17*s/6 + 1/2.
-(s - 3)*(s + 1)*(5*s + 1)/6
What is y in 2*y**3/3 - 4*y**2 = 0?
0, 6
Let -24*w**3 - 196*w**2