76 = 0 for i.
-4/11, 3
Factor -w**3/5 + 614*w**2/5 + 2468*w/5 + 2472/5.
-(w - 618)*(w + 2)**2/5
Factor 3*q**3 - 129*q**2 - 4392*q - 28944.
3*(q - 67)*(q + 12)**2
Factor -u**3/5 - 28*u**2/5 - 27*u/5.
-u*(u + 1)*(u + 27)/5
Solve h**5/6 - 241*h**4/6 - 243*h**3/2 - 731*h**2/6 - 122*h/3 = 0 for h.
-1, 0, 244
Let 60*u**2 + 485*u + 40 = 0. What is u?
-8, -1/12
Suppose 8*t**3 + 2*t**2 = 0. What is t?
-1/4, 0
Determine j so that 3*j**3 + 9*j**2 - 54*j = 0.
-6, 0, 3
What is n in 2*n**2 + 30*n + 100 = 0?
-10, -5
Solve l**5 + 3*l**4 - 24*l**3 - 80*l**2 = 0.
-4, 0, 5
Find z, given that -2*z**5/9 - 8*z**4/9 + 4*z**3/3 + 8*z**2/9 - 10*z/9 = 0.
-5, -1, 0, 1
Factor 5*c**5 - 25*c**4 - 35*c**3 + 25*c**2 + 30*c.
5*c*(c - 6)*(c - 1)*(c + 1)**2
Solve -2*u**3 + 24*u**2 + 90*u = 0.
-3, 0, 15
Let 2*o**2/5 - 86*o/5 - 36 = 0. What is o?
-2, 45
Solve p**5/4 + 2*p**4 + 3*p**3/2 - 10*p**2 + 25*p/4 = 0.
-5, 0, 1
Factor -2*m**2/11 + 6*m/11 + 20/11.
-2*(m - 5)*(m + 2)/11
Factor -2*g**3/3 - 4*g**2 + 62*g/3 + 24.
-2*(g - 4)*(g + 1)*(g + 9)/3
Let 108*v**3 + 828*v**2 + 1155*v + 450 = 0. What is v?
-6, -5/6
Factor -b**2/5 + 11*b - 54/5.
-(b - 54)*(b - 1)/5
Solve 2*w**4/5 - 28*w**3/5 + 48*w**2/5 = 0 for w.
0, 2, 12
Factor 2*o**3/7 + 12794*o**2/7 + 12792*o/7.
2*o*(o + 1)*(o + 6396)/7
Find g such that -7*g**5/5 + 58*g**4/5 + g**3 - 32*g**2 - 68*g/5 + 32/5 = 0.
-1, 2/7, 2, 8
Factor -20*q**3 + 825*q**2 + 5435*q - 1410.
-5*(q - 47)*(q + 6)*(4*q - 1)
Factor -3*s**3 - 39*s**2 + 90*s.
-3*s*(s - 2)*(s + 15)
Solve 5*g**2 + 500*g + 1920 = 0.
-96, -4
Find i, given that i**4/2 + 2*i**3 + 3*i**2 + 2*i + 1/2 = 0.
-1
What is o in -189*o**4 + 600*o**3 - 471*o**2 + 48*o + 12 = 0?
-1/9, 2/7, 1, 2
Factor -9*a**2/8 - 2715*a/8 - 903/4.
-3*(a + 301)*(3*a + 2)/8
Factor 2*q**2 + 70*q + 248.
2*(q + 4)*(q + 31)
Find t, given that -t**4 + t**3 + 4*t**2 - 4*t = 0.
-2, 0, 1, 2
Factor 2*a**2/5 - 8*a/5 - 714/5.
2*(a - 21)*(a + 17)/5
Factor a**5/4 - 3*a**3/2 - 2*a**2 - 3*a/4.
a*(a - 3)*(a + 1)**3/4
Factor -5*f**4 - 15*f**3 + 265*f**2 + 555*f + 280.
-5*(f - 7)*(f + 1)**2*(f + 8)
Factor -m**5/2 - m**4 + 15*m**3/2.
-m**3*(m - 3)*(m + 5)/2
Factor 4*z**2 + 156*z.
4*z*(z + 39)
Factor 4*s**4/5 - 24*s**3/5 - 252*s**2/5 - 432*s/5.
4*s*(s - 12)*(s + 3)**2/5
Determine o so that -49*o**4/4 + 3619*o**3/4 - 13365*o**2/4 + 9477*o/4 - 945/2 = 0.
3/7, 3, 70
Factor -4*l**2 + 28*l + 72.
-4*(l - 9)*(l + 2)
Factor -f**3/7 - 4*f**2/7 + 5*f/7.
-f*(f - 1)*(f + 5)/7
Factor 4*x**2 - 52*x + 168.
4*(x - 7)*(x - 6)
Let 2*p**2 + 18*p + 28 = 0. Calculate p.
-7, -2
Find d, given that d**3/2 - 17*d**2 - 162*d - 252 = 0.
-6, -2, 42
Determine d so that 2*d**4/3 - 62*d**3/3 + 130*d**2 + 3718*d/3 - 35152/3 = 0.
-8, 13
Find b such that 4*b**4 + 232*b**3 + 2156*b**2 - 2392*b = 0.
-46, -13, 0, 1
Solve 5*s**3 + 390*s**2 + 10140*s + 87880 = 0.
-26
Factor q**4 + 50*q**3 - 156*q**2 + 158*q - 53.
(q - 1)**3*(q + 53)
Factor 22*i**2/3 + 30*i + 24.
2*(i + 3)*(11*i + 12)/3
Let 2*a**2/3 - 40*a + 600 = 0. What is a?
30
Determine i, given that -i**3 - 7*i**2 + i + 7 = 0.
-7, -1, 1
Determine g so that -15*g**5/4 - 5*g**4/2 + 135*g**3/4 + 15*g**2/2 - 55*g - 30 = 0.
-3, -1, -2/3, 2
Find t, given that 18*t**3 + 302*t**2 - 392*t + 72 = 0.
-18, 2/9, 1
Factor -4*o**4 - 4*o**3 + 36*o**2 + 36*o.
-4*o*(o - 3)*(o + 1)*(o + 3)
Let 5*m**2 - 20*m + 20 = 0. What is m?
2
Factor l**3/7 - 4*l + 48/7.
(l - 4)*(l - 2)*(l + 6)/7
Factor -4*t**3 + 40*t**2 - 36*t.
-4*t*(t - 9)*(t - 1)
What is d in -2*d**5/17 + 282*d**4/17 - 9794*d**3/17 - 10650*d**2/17 + 20164*d/17 = 0?
-2, 0, 1, 71
Factor 4*k**3 + 36*k**2 + 56*k - 96.
4*(k - 1)*(k + 4)*(k + 6)
Factor -d**2 + 1946*d - 946729.
-(d - 973)**2
Suppose -35*t**4/3 - 197*t**3/6 - 33*t**2/2 + 16*t/3 + 2/3 = 0. Calculate t.
-2, -1, -1/10, 2/7
Suppose 2*v**2/9 - 20*v/3 + 322/9 = 0. Calculate v.
7, 23
Solve -5*k**2 - 8050*k - 3240125 = 0 for k.
-805
Factor 3*r**2/2 - 27*r/2.
3*r*(r - 9)/2
Solve 20*p**5/3 - 5*p**4/3 - 20*p**3 - 25*p**2/3 + 10*p/3 = 0.
-1, 0, 1/4, 2
Determine l, given that 2*l**3/5 - 338*l**2/5 = 0.
0, 169
Factor -j**2/9 - 4*j - 68/9.
-(j + 2)*(j + 34)/9
Factor v**5/8 + v**4/8 - v**3/2 - v**2/2.
v**2*(v - 2)*(v + 1)*(v + 2)/8
Determine m, given that -5*m**5 + 40*m**4 - 110*m**3 + 120*m**2 - 45*m = 0.
0, 1, 3
Factor -3*p**4 + 6*p**3 + 9*p**2 - 24*p + 12.
-3*(p - 2)*(p - 1)**2*(p + 2)
Suppose -3*z**3 + 15222*z**2 - 19324320*z + 38587776 = 0. Calculate z.
2, 2536
Let -30*x**4 + 8*x**3 + 360*x**2 + 384*x - 128 = 0. Calculate x.
-2, 4/15, 4
Factor 2*y**2/5 - 36*y/5 + 64/5.
2*(y - 16)*(y - 2)/5
Factor 2*u**2/11 - 320*u/11 - 978/11.
2*(u - 163)*(u + 3)/11
Find m, given that -9*m**2 - 69*m/4 + 3/2 = 0.
-2, 1/12
Let 3*y**5 + 201*y**4 + 381*y**3 - 597*y**2 - 768*y + 780 = 0. Calculate y.
-65, -2, 1
Factor 21*u**3 + 18*u**2 - 45*u + 6.
3*(u - 1)*(u + 2)*(7*u - 1)
Let -5*b**2 - 105*b - 190 = 0. Calculate b.
-19, -2
Factor -4*n**2 + 2656*n + 5328.
-4*(n - 666)*(n + 2)
Factor g**2 + 15*g - 34.
(g - 2)*(g + 17)
Let 5*h**3 + 465*h**2 - 4590*h = 0. What is h?
-102, 0, 9
Solve -d**5/10 + 3*d**4/5 - 7*d**3/10 - 3*d**2/5 + 4*d/5 = 0 for d.
-1, 0, 1, 2, 4
Factor d**4 + 51*d**3 + 669*d**2 + 325*d - 3750.
(d - 2)*(d + 3)*(d + 25)**2
Factor -3*h**3 + 6339*h**2 - 6336*h.
-3*h*(h - 2112)*(h - 1)
Solve -3*k**3/7 + 12*k/7 = 0.
-2, 0, 2
Factor h**5 + 11*h**4 + 19*h**3 + 9*h**2.
h**2*(h + 1)**2*(h + 9)
Find u, given that u**2/4 + 89*u/4 + 87/2 = 0.
-87, -2
What is p in -8*p**5/3 + 20*p**4/3 + 12*p**3 - 76*p**2/3 + 4*p/3 + 8 = 0?
-2, -1/2, 1, 3
Factor 3*u**2 + 6216*u + 3219888.
3*(u + 1036)**2
Solve -11*u**5/4 + 197*u**4/2 - 1911*u**3/2 + 1132*u**2 + 10489*u/4 + 867/2 = 0 for u.
-1, -2/11, 3, 17
Find i, given that 3*i**5/5 - 6*i**4/5 - 6*i**3/5 + 12*i**2/5 + 3*i/5 - 6/5 = 0.
-1, 1, 2
Solve 4*t**4/3 - 17*t**3 + 9*t**2 + 106*t/3 + 8 = 0 for t.
-1, -1/4, 2, 12
Factor a**2 - 5*a.
a*(a - 5)
Suppose -2*x**5 - 104*x**4 + 2*x**3 + 104*x**2 = 0. What is x?
-52, -1, 0, 1
Let c**3/6 - 62*c**2 + 7688*c - 953312/3 = 0. Calculate c.
124
Factor -r**2/4 + 355*r/4.
-r*(r - 355)/4
Determine g, given that -g**5 + 41*g**4 - 439*g**3 + 359*g**2 + 440*g - 400 = 0.
-1, 1, 20
Factor -y**2/3 + 5*y/3 - 4/3.
-(y - 4)*(y - 1)/3
Solve -12*i**3 + 321*i**2 + 1161*i + 270 = 0.
-3, -1/4, 30
Let -o**2/3 + 5*o - 44/3 = 0. Calculate o.
4, 11
Find b such that -3*b**4 + 9*b**3 - 3*b**2 - 9*b + 6 = 0.
-1, 1, 2
Factor d**2/6 - 2*d + 10/3.
(d - 10)*(d - 2)/6
Solve -2*x**3/3 + 12*x**2 - 34*x - 140/3 = 0 for x.
-1, 5, 14
Find h, given that -20*h**2 - 416*h - 320 = 0.
-20, -4/5
Factor 3*j**2 + 120*j + 837.
3*(j + 9)*(j + 31)
Let 5*a**2 + 7870*a + 3096845 = 0. What is a?
-787
Factor -3*r**2/8 - 21*r/2 + 48.
-3*(r - 4)*(r + 32)/8
Find l such that 9288*l**5 + 1632*l**4 - 17746*l**3/3 + 5026*l**2/3 - 196*l/3 = 0.
-1, 0, 2/43, 7/18
Factor -3*g**4 - 12*g**3 + 33*g**2 - 18*g.
-3*g*(g - 1)**2*(g + 6)
Let -21*k**4/5 + 69*k**3/5 - 12*k**2 + 12*k/5 = 0. What is k?
0, 2/7, 1, 2
Factor -4*l**4 - 11*l**3 + 43*l**2 - 10*l.
-l*(l - 2)*(l + 5)*(4*l - 1)
Determine a so that -3*a**2 + 225*a - 438 = 0.
2, 73
Factor 4*l**3/7 + 68*l**2 + 2224*l/7 - 912.
4*(l - 2)*(l + 7)*(l + 114)/7
Solve -v**2/8 - 11*v/8 - 5/4 = 0.
-10, -1
Factor -14*x**3/9 + 166*x**2/3 - 280*x/9.
-2*x*(x - 35)*(7*x - 4)/9
Find c, given that c**3 + 29*c**2/4 + 31*c/4 + 3/2 = 0.
-6, -1, -1/4
Let 4*z**4/3 + 60*z**3 + 464*z**2 + 3520*z/3 + 768 = 0. Calculate z.
-36, -4, -1
Factor 4*o**4 - 564*o**3 + 1668*o**2 - 1660*o + 552.
4*(o - 138)*(o - 1)**3
Determine d, given that d**2 - 29*d = 0.
0, 29
Suppose 2*z**2/3 + 3106*z - 9320/3 = 0. Calculate z.
-4660, 1
Factor 2*o**3 + 8*o**2 - 56*o + 64.
2*(o - 2)**2*(o + 8)
Let 6*j**5/17 + 218*j**4/17 - 1126*j**3/17 + 934*j**2/17 + 1288*j/17 - 984/17 = 0. What is j?
-41, -1, 2/3, 2, 3
Factor -2*l**3/19 - 50*l**2/19 - 158*l/19 + 210/19.
-2*(l - 1)*(l + 5)*(l + 21)/19
Factor f**2 - 63*f - 64.
(f - 64)*(f + 1)
Solve 2*k**5/13 - 12*k**4/13 + 20*k**3/13 - 22*k/13 + 12/13 = 0.
-1, 1, 2, 3
Factor -3*h**2 - 21*h.
-3*h*(h + 7)
Factor -3*h**4 - 18*h**3 - 36*h**2 - 30*h - 9.
-3*(h + 1)**3*(h + 3)
Let 2*t**5 + 32*t**4/3 + 40*t**3/3 - 20*t**2/3 - 46*t/3 - 4 = 0. What is t?
-3, -2, -1, -1/3, 1
Factor 5*l**2 + 2430*l + 2425.
5*(l + 1)*(l + 485)
Solve -q**2/6 + 13*q/3 - 133/6 = 0.
7, 19
Factor 2*r**4 + 2*r**3 - 8*r**2 - 8*r.
2*r*(r - 2)*(r