2*(o + 1)*(o + 3)
Solve 2*m**4/5 - 12*m**3/5 - 38*m**2/5 + 48*m/5 = 0.
-3, 0, 1, 8
Suppose -a**3/3 - 14*a**2/3 - 43*a/3 - 10 = 0. What is a?
-10, -3, -1
Factor -6*l**4 - 2858*l**3 + 5722*l**2/3 - 318*l.
-2*l*(l + 477)*(3*l - 1)**2/3
Let 5*f**4 - 3970*f**3 + 15825*f**2 - 19760*f + 7900 = 0. Calculate f.
1, 2, 790
Factor -2*q**4 - 46*q**3 + 2*q**2 + 46*q.
-2*q*(q - 1)*(q + 1)*(q + 23)
Determine a so that -a**5/3 - a**4/3 + 5*a**3/3 - a**2 = 0.
-3, 0, 1
Factor 5*t**4 - 590*t**3 - 5*t**2 + 590*t.
5*t*(t - 118)*(t - 1)*(t + 1)
Let 15*d**2 - 609*d - 246 = 0. What is d?
-2/5, 41
Let -2*u**5/3 + 80*u**4/3 - 122*u**3 + 568*u**2/3 - 280*u/3 = 0. What is u?
0, 1, 2, 35
Factor 3*q**2 + 1962*q.
3*q*(q + 654)
Find g such that -3*g**4 - 27*g**3 - 57*g**2 + 27*g + 60 = 0.
-5, -4, -1, 1
Factor 2*q**3/5 - 6*q**2 - 66*q/5 - 34/5.
2*(q - 17)*(q + 1)**2/5
Factor p**4/5 - 11*p**3/5 + 42*p**2/5 - 64*p/5 + 32/5.
(p - 4)**2*(p - 2)*(p - 1)/5
Suppose 4*b**3 - 196*b**2 - 832*b - 848 = 0. Calculate b.
-2, 53
Solve 2*k**5 + 10*k**4 + 6*k**3 - 18*k**2 = 0 for k.
-3, 0, 1
Let 5*w**3 - 55*w**2 + 170*w - 120 = 0. What is w?
1, 4, 6
Solve 3*u**3/4 - 48*u**2 + 828*u - 4320 = 0 for u.
12, 40
Solve a**3/2 + a**2/3 - 25*a/6 - 4 = 0 for a.
-8/3, -1, 3
Factor 100*r**4 + 392*r**3 + 368*r**2 - 32*r.
4*r*(r + 2)**2*(25*r - 2)
Solve -4*l**5 + 20*l**4 - 28*l**3 - 4*l**2 + 32*l - 16 = 0 for l.
-1, 1, 2
Factor -405*o**3 - 9730*o**2 - 18060*o - 440.
-5*(o + 2)*(o + 22)*(81*o + 2)
Suppose -477*b**3/5 - 186*b**2 - 429*b/5 + 24/5 = 0. What is b?
-1, 8/159
Factor -4*w**2 + 1008*w - 63504.
-4*(w - 126)**2
Suppose -a**4 - 594*a**3 - 88209*a**2 = 0. Calculate a.
-297, 0
Solve 34*a**4/5 - 38*a**3/5 - 268*a**2/5 + 88*a - 48/5 = 0.
-3, 2/17, 2
Factor 4*z**3/5 + 4*z**2 - 868*z/5 - 884/5.
4*(z - 13)*(z + 1)*(z + 17)/5
Suppose 2665*n**3/9 - 1076*n**2/9 + 4*n/9 = 0. What is n?
0, 2/533, 2/5
Suppose w**2/5 + 2*w/5 - 48/5 = 0. What is w?
-8, 6
Factor -w**4/3 - 92*w**3 - 274*w**2 - 820*w/3 - 91.
-(w + 1)**3*(w + 273)/3
Determine j, given that 6*j**2/11 - 30*j/11 = 0.
0, 5
Let -5*z**3 - 25*z**2 + 1020*z = 0. Calculate z.
-17, 0, 12
Suppose 2*r**4/11 + 2*r**3/11 - 6*r**2/11 - 2*r/11 + 4/11 = 0. Calculate r.
-2, -1, 1
Find j such that 20*j**4 + 765*j**3 + 8690*j**2 + 25245*j + 5780 = 0.
-17, -4, -1/4
Factor 152*z**3 + 596*z**2 + 560*z - 48.
4*(z + 2)**2*(38*z - 3)
Factor -a**3/6 + 49*a**2/6 + 25*a/3.
-a*(a - 50)*(a + 1)/6
Factor 3*d**3 - 31*d**2 + 10*d.
d*(d - 10)*(3*d - 1)
Factor -2*u**3/7 + 4*u**2 - 88*u/7 + 80/7.
-2*(u - 10)*(u - 2)**2/7
Factor 5*d**5 + 80*d**4 + 270*d**3 + 380*d**2 + 245*d + 60.
5*(d + 1)**4*(d + 12)
What is h in -h**2 - 46*h - 45 = 0?
-45, -1
Determine r, given that -11*r**2/5 + 167*r/5 - 6 = 0.
2/11, 15
Factor -5*t**3 + 32*t**2 - 52*t + 16.
-(t - 4)*(t - 2)*(5*t - 2)
Suppose -3*o**3 + 75*o**2 + 84*o - 156 = 0. Calculate o.
-2, 1, 26
Factor 2*g**3 - 6*g + 4.
2*(g - 1)**2*(g + 2)
Factor 2*f**4/15 + 14*f**3/15 + 4*f**2/3.
2*f**2*(f + 2)*(f + 5)/15
Let 6*d**2/5 - 36*d + 336/5 = 0. What is d?
2, 28
Factor -23*w**2/7 + 20*w/7 + 3/7.
-(w - 1)*(23*w + 3)/7
Factor 24*d**4 + 28*d**3 - 24*d**2 - 28*d.
4*d*(d - 1)*(d + 1)*(6*d + 7)
Factor -4*j**3/9 + 52*j**2/3 - 1340*j/9 + 132.
-4*(j - 27)*(j - 11)*(j - 1)/9
Factor m**4/4 - 5*m**3/2 - 4*m**2 + 29*m/2 - 33/4.
(m - 11)*(m - 1)**2*(m + 3)/4
Factor 2*i**2/9 + 22*i/9 - 304/9.
2*(i - 8)*(i + 19)/9
Suppose 2*h**2/9 - 188*h/3 + 4418 = 0. What is h?
141
Factor 5*f**4 + 240*f**3 - 4095*f**2 + 15190*f.
5*f*(f - 7)**2*(f + 62)
Factor 5*t**5 - 15*t**4 + 5*t**3 + 15*t**2 - 10*t.
5*t*(t - 2)*(t - 1)**2*(t + 1)
Suppose 3*j**3/5 - 27*j**2 - 144*j/5 + 276/5 = 0. What is j?
-2, 1, 46
Factor 5*z**4 - 345*z**3 + 2820*z**2 - 7280*z + 4800.
5*(z - 60)*(z - 4)**2*(z - 1)
Factor -5*v**2 - 300*v - 4500.
-5*(v + 30)**2
Find z, given that z**2/8 + 307*z/8 + 153/4 = 0.
-306, -1
Let -2*v**2/19 + 4*v/19 - 2/19 = 0. What is v?
1
Solve m**3 - 35*m**2 + 67*m - 33 = 0.
1, 33
Factor -2*m**3 + 76*m**2 - 280*m + 272.
-2*(m - 34)*(m - 2)**2
Factor -a**2/7 - 3*a.
-a*(a + 21)/7
Factor -p**2 + 100*p/9.
-p*(9*p - 100)/9
Factor -4*n**3/7 + 396*n**2/7 - 744*n/7 - 3104/7.
-4*(n - 97)*(n - 4)*(n + 2)/7
Factor -2*n**4 + 16*n**3 - 10*n**2 - 100*n.
-2*n*(n - 5)**2*(n + 2)
Find c such that c**3 + 193*c**2 + 192*c = 0.
-192, -1, 0
Factor -2*k**3 + 48*k**2 - 288*k.
-2*k*(k - 12)**2
Factor 3*h**3 - 129*h**2 + 126*h.
3*h*(h - 42)*(h - 1)
What is v in -4*v**5 - 16*v**4 - 12*v**3 + 16*v**2 + 16*v = 0?
-2, -1, 0, 1
Factor r**5 + 2*r**4 - 6*r**3 - 20*r**2 - 19*r - 6.
(r - 3)*(r + 1)**3*(r + 2)
Solve 48*n**5/7 - 172*n**4/7 + 104*n**3/7 + 16*n**2 - 32*n/7 = 0.
-2/3, 0, 1/4, 2
Factor 3*a**3 + 15*a**2 + 21*a + 9.
3*(a + 1)**2*(a + 3)
Factor 3*u**2 + 4227*u - 4230.
3*(u - 1)*(u + 1410)
Factor 5*y**2 + 6880*y + 2366720.
5*(y + 688)**2
Solve 2*g**4/11 + 116*g**3/11 + 442*g**2/11 + 544*g/11 + 216/11 = 0 for g.
-54, -2, -1
Suppose -2*x**4/9 + 80*x**3/9 + 38*x**2 + 436*x/9 + 176/9 = 0. What is x?
-2, -1, 44
Factor -2*g**3 - 218*g**2 - 6048*g - 5832.
-2*(g + 1)*(g + 54)**2
Let 2*p**3/15 - 8*p**2/15 - 82*p/15 - 24/5 = 0. What is p?
-4, -1, 9
What is x in -5*x**4/4 - 315*x**3/4 - 5105*x**2/4 - 4185*x/4 + 4805/2 = 0?
-31, -2, 1
What is d in -5*d**5 - 200*d**4 + 850*d**3 - 1300*d**2 + 875*d - 220 = 0?
-44, 1
Factor 2*z**4/5 - 112*z**3/5 + 616*z**2/5 - 160*z.
2*z*(z - 50)*(z - 4)*(z - 2)/5
Factor 2*a**3/17 + 126*a**2/17 - 258*a/17 + 130/17.
2*(a - 1)**2*(a + 65)/17
Factor 4*x**3 + 308*x**2 + 5772*x - 6084.
4*(x - 1)*(x + 39)**2
Factor -d**2 - 54*d - 288.
-(d + 6)*(d + 48)
Find r such that r**5 + 14*r**4 + 55*r**3 + 50*r**2 - 56*r - 64 = 0.
-8, -4, -2, -1, 1
Determine u, given that u**4 - 2*u**3 - 3*u**2 + 8*u - 4 = 0.
-2, 1, 2
Factor -b**3 + 505*b**2 - 63503*b - 64009.
-(b - 253)**2*(b + 1)
Find l such that 2*l**4/21 + 20*l**3/21 + 16*l**2/21 - 20*l/21 - 6/7 = 0.
-9, -1, 1
Factor 4*x**3/9 + 116*x**2/9 + 896*x/9 + 784/9.
4*(x + 1)*(x + 14)**2/9
Find r such that -3*r**5/2 + 21*r**4/2 - 39*r**3/2 - 9*r**2/2 + 27*r = 0.
-1, 0, 2, 3
Find q such that -q**3/4 + 5*q**2/4 + q - 5 = 0.
-2, 2, 5
Solve 3*r**5/7 + 3*r**4/7 - 471*r**3/7 - 309*r**2 - 1152*r/7 + 540 = 0 for r.
-10, -3, 1, 14
Factor 3*z**4/2 - 231*z**3 - 2853*z**2/2 - 2160*z.
3*z*(z - 160)*(z + 3)**2/2
Let -i**5 - 6*i**4 - 7*i**3 + 6*i**2 + 8*i = 0. What is i?
-4, -2, -1, 0, 1
Factor d**2/2 + 94*d - 190.
(d - 2)*(d + 190)/2
Determine x, given that 3*x**5/7 + 6*x**4/7 - 15*x**3/7 - 18*x**2/7 = 0.
-3, -1, 0, 2
Suppose -5*g**2/4 - 105*g/2 - 205/4 = 0. Calculate g.
-41, -1
Factor -16*g**3 - 252*g**2 - 176*g + 60.
-4*(g + 1)*(g + 15)*(4*g - 1)
Find s, given that 81*s**3 + 2799*s**2 - 1256*s + 140 = 0.
-35, 2/9
Determine f so that -f**3 - f**2 + 39*f/4 - 9 = 0.
-4, 3/2
Find a, given that -3*a**3 - 87*a**2 + 3*a + 87 = 0.
-29, -1, 1
Factor -y**2/4 + 5*y/2 - 4.
-(y - 8)*(y - 2)/4
Solve -3*t**4/5 - 11*t**3/5 + 41*t**2/5 + 99*t/5 - 126/5 = 0.
-14/3, -3, 1, 3
What is c in c**3/6 + 11*c**2/3 = 0?
-22, 0
Solve f**4/3 - 41*f**3/3 + 51*f**2 - 187*f/3 + 74/3 = 0.
1, 2, 37
Suppose -w**4/4 - w**3/2 + 3*w**2/4 + w - 1 = 0. What is w?
-2, 1
Find g such that 5*g**4 + 75*g**3 - 15*g**2 - 235*g - 150 = 0.
-15, -1, 2
Determine a so that -36*a**4 - 7752*a**3 - 10228*a**2 + 9408*a - 1712 = 0.
-214, -2, 1/3
Suppose 5*c**5/2 - 10*c**4 + 25*c**2 - 5*c/2 - 15 = 0. What is c?
-1, 1, 2, 3
Factor m**4 + 10*m**3 + 36*m**2 + 56*m + 32.
(m + 2)**3*(m + 4)
Factor -2*p**4/9 + 8*p**3/3 - 14*p**2/3 + 20*p/9.
-2*p*(p - 10)*(p - 1)**2/9
Factor -2*s**2/7 + 10*s/7 - 8/7.
-2*(s - 4)*(s - 1)/7
Factor -2*g**4 + 108*g**3 - 1344*g**2 - 3136*g.
-2*g*(g - 28)**2*(g + 2)
Factor 15*i**4 + 1205*i**3 + 31995*i**2 + 273375*i - 196830.
5*(i + 27)**3*(3*i - 2)
Determine o, given that o**4/5 + 33*o**3/5 + 31*o**2/5 - 33*o/5 - 32/5 = 0.
-32, -1, 1
Factor -f**3/8 + 5*f**2/4 - 17*f/8 + 1.
-(f - 8)*(f - 1)**2/8
Solve 4*y**3/3 + 304*y**2/3 + 2240*y/3 + 4352/3 = 0 for y.
-68, -4
Factor -r**3 + 35*r**2/4 - 13*r + 21/4.
-(r - 7)*(r - 1)*(4*r - 3)/4
What is u in 2*u**4 - 16*u**3 + 44*u**2 - 48*u + 18 = 0?
1, 3
Find x such that 100*x**5/3 - 574*x**4/9 - 2*x**3/3 + 554*x**2/9 - 98*x/3 + 20/9 = 0.
-1, 2/25, 5/6, 1
Find b such that -3*b**2 - 48*b + 51 = 0.
-17, 1
Factor -243*d**2 - 4158*d - 17787.
-3*(9*d + 77)**2
Find p such that -2448*p