2)*(h + 1)**2*(h + 2)**2
Suppose 3*l**4 - 771*l**2 + 768 = 0. Calculate l.
-16, -1, 1, 16
Factor -4*t**4 + 52*t**3 - 84*t**2 - 340*t - 200.
-4*(t - 10)*(t - 5)*(t + 1)**2
Let 68*p**3/5 + 63*p**2 + 319*p/5 - 42/5 = 0. What is p?
-3, -7/4, 2/17
What is n in -2*n**3 + 170*n**2 - 334*n + 166 = 0?
1, 83
Determine m so that -4*m**2/7 + 1448*m/7 - 131044/7 = 0.
181
Let 4*p**2/3 + 89*p/3 + 22/3 = 0. Calculate p.
-22, -1/4
Factor 4*h**5 + 28*h**4 + 20*h**3 - 28*h**2 - 24*h.
4*h*(h - 1)*(h + 1)**2*(h + 6)
Factor r**4/2 + 15*r**3/2 - 3*r**2/2 - 47*r/2 - 15.
(r - 2)*(r + 1)**2*(r + 15)/2
What is n in 3*n**3 + 2298*n**2 - 12*n - 9192 = 0?
-766, -2, 2
Factor -3*n**5 + 42*n**4 - 108*n**3 + 102*n**2 - 33*n.
-3*n*(n - 11)*(n - 1)**3
Find j such that 2*j**2 - 154*j + 152 = 0.
1, 76
Suppose -h**3 + 85*h**2 - 1703*h + 9971 = 0. What is h?
13, 59
Let -r**4/7 + 9*r**3/7 + 10*r**2 = 0. Calculate r.
-5, 0, 14
Solve 2*s**2/7 + 216*s/7 + 424/7 = 0 for s.
-106, -2
Find i, given that 2*i**3 - 6*i**2 + 6*i - 2 = 0.
1
Factor -z**3/5 + 678*z**2/5 + 679*z/5.
-z*(z - 679)*(z + 1)/5
Factor l**4/5 + 13*l**3 + 63*l**2/5 - 13*l - 64/5.
(l - 1)*(l + 1)**2*(l + 64)/5
Suppose -a**3/4 + 13*a**2/4 - 8*a + 5 = 0. What is a?
1, 2, 10
Let -14*x**5/3 - 52*x**4/3 + 10*x**3 + 52*x**2/3 - 16*x/3 = 0. Calculate x.
-4, -1, 0, 2/7, 1
Factor c**2/2 - 7*c - 15/2.
(c - 15)*(c + 1)/2
Determine s, given that -s**3 + 33*s**2 - 251*s - 285 = 0.
-1, 15, 19
Suppose 125*r**4 + 675*r**3 - 1020*r**2 - 10880*r - 15360 = 0. Calculate r.
-16/5, -3, 4
Factor 4*m**2 + 160*m - 704.
4*(m - 4)*(m + 44)
Let 3*l**4 - 39*l**3 + 168*l**2 - 240*l = 0. Calculate l.
0, 4, 5
Factor 5*l**3/4 - 1025*l**2/4 + 2485*l/2 + 1500.
5*(l - 200)*(l - 6)*(l + 1)/4
Determine n, given that -5*n**3/2 + 60*n**2 - 350*n + 480 = 0.
2, 6, 16
Factor -4*n**4 - 12*n**3.
-4*n**3*(n + 3)
Factor 2*u**2 + 2*u - 84.
2*(u - 6)*(u + 7)
Factor 5*f**5 + 70*f**4 + 255*f**3 + 250*f**2 - 220*f - 360.
5*(f - 1)*(f + 2)**3*(f + 9)
Factor 2*j**3/3 + 4*j**2/3 - 2*j.
2*j*(j - 1)*(j + 3)/3
Find s such that s**4/7 + 38*s**3/7 - 165*s**2/7 + 18*s = 0.
-42, 0, 1, 3
Factor u**4/7 + 2*u**3/7 - u**2 + 4*u/7.
u*(u - 1)**2*(u + 4)/7
Factor -25*y**3 + 2615*y**2 + 1050*y.
-5*y*(y - 105)*(5*y + 2)
Suppose -64*m**4 + 608*m**3 + 5116*m**2 + 2440*m + 300 = 0. What is m?
-5, -1/4, 15
Factor 4*y**2 - 120*y - 396.
4*(y - 33)*(y + 3)
Solve -15*q**3 + 85*q**2 + 30*q = 0.
-1/3, 0, 6
Factor 3*k**4 + 456*k**3 - 936*k**2 - 1824*k + 3696.
3*(k - 2)**2*(k + 2)*(k + 154)
Let 5*q**5/4 - 25*q**4/4 - 55*q**3/4 + 185*q**2/4 + 205*q/2 + 50 = 0. Calculate q.
-2, -1, 4, 5
Factor -i**2 - 271*i + 2520.
-(i - 9)*(i + 280)
Determine o, given that 27*o**4 + 225*o**3 - 159*o**2 + 27*o = 0.
-9, 0, 1/3
Let 2*l**2/5 + 80*l + 390 = 0. What is l?
-195, -5
Find s, given that -21*s**5 - 9*s**4 + 51*s**3 + 9*s**2 - 30*s = 0.
-10/7, -1, 0, 1
Factor -k**3/6 + 35*k**2/2 - 388*k/3.
-k*(k - 97)*(k - 8)/6
Solve 14*f**5 + 73*f**4 - f**3 - 83*f**2 - 13*f + 10 = 0 for f.
-5, -1, -1/2, 2/7, 1
Factor p**3 - 10*p**2 - 11*p.
p*(p - 11)*(p + 1)
Find t such that -5*t**3 - 3765*t**2 - 710640*t - 706880 = 0.
-376, -1
Factor f**2 + 1401*f - 2806.
(f - 2)*(f + 1403)
Find i, given that -5*i**4 + 85*i**3 = 0.
0, 17
Factor -4*k**2 + 6384*k - 2547216.
-4*(k - 798)**2
Factor 3*a**3 - 810*a**2 + 54675*a.
3*a*(a - 135)**2
Factor 4*v**3 - 172*v**2 + 1616*v - 3968.
4*(v - 31)*(v - 8)*(v - 4)
Factor -s**3 - s**2 + 100*s + 100.
-(s - 10)*(s + 1)*(s + 10)
Find c such that 576*c**5 + 2352*c**4 + 3424*c**3 + 1900*c**2 + 56*c - 196 = 0.
-7/6, -1, 1/4
Factor 3*w**3/7 + 6*w**2 - 93*w/7 + 48/7.
3*(w - 1)**2*(w + 16)/7
Factor -s**3/10 - 29*s**2/10 - 57*s/5 + 72/5.
-(s - 1)*(s + 6)*(s + 24)/10
Factor -18*s**3 + 56*s**2 - 42*s + 4.
-2*(s - 2)*(s - 1)*(9*s - 1)
Factor a**3 - 164*a**2 + 6724*a.
a*(a - 82)**2
Solve -2*c**3 + 82*c**2 - 436*c + 560 = 0 for c.
2, 4, 35
Determine s so that 5*s**2 + 1210*s - 3675 = 0.
-245, 3
Let 126*t**5/5 - 214*t**4 - 416*t**3 + 336*t**2 + 1184*t/5 + 32 = 0. What is t?
-2, -2/7, -2/9, 1, 10
Factor -2*y**4 - 4*y**3 + 104*y**2 - 188*y + 90.
-2*(y - 5)*(y - 1)**2*(y + 9)
Factor 2*t**2 + 6*t - 8.
2*(t - 1)*(t + 4)
Factor -16*a**3/5 + 28*a**2/5 + 136*a/5 + 32/5.
-4*(a - 4)*(a + 2)*(4*a + 1)/5
Let 4*o**4 - 192*o**3 + 884*o**2 - 1032*o = 0. What is o?
0, 2, 3, 43
Factor -2*t**3/9 + 68*t**2/9 - 418*t/9 - 2888/9.
-2*(t - 19)**2*(t + 4)/9
What is u in 6*u**5 - 33*u**4 - 204*u**3 + 627*u**2 + 360*u = 0?
-5, -1/2, 0, 3, 8
Factor -d**3/2 - 9*d**2/4 - 9*d/4.
-d*(d + 3)*(2*d + 3)/4
Determine v so that 15*v**4 + 9*v**3 - 81*v**2 + 75*v - 18 = 0.
-3, 2/5, 1
Factor -a**2/6 - 5*a/6 + 4.
-(a - 3)*(a + 8)/6
What is h in h**5 - 6*h**4 - 7*h**3 = 0?
-1, 0, 7
Find m such that 25*m**4/4 + 155*m**3 - 204*m**2 - 236*m - 52 = 0.
-26, -2/5, 2
Factor 4*y**4 + 248*y**3 - 1364*y**2 - 1608*y.
4*y*(y - 6)*(y + 1)*(y + 67)
Let 2*c**4 - 6*c**3 - 8*c**2 = 0. What is c?
-1, 0, 4
Factor -u**2/3 - 1670*u/3 - 697225/3.
-(u + 835)**2/3
Find z such that -20*z**3 - 55*z**2 + 930*z + 720 = 0.
-8, -3/4, 6
Let 2*r**2/5 - 24*r/5 - 56/5 = 0. What is r?
-2, 14
Determine z so that 2*z**3/7 + 16*z**2/7 + 40*z/7 + 32/7 = 0.
-4, -2
Factor -4*k**2 - 620*k - 3000.
-4*(k + 5)*(k + 150)
Factor l**4 - 5*l**3 + 4*l**2.
l**2*(l - 4)*(l - 1)
Solve -5*o**2 + 55*o - 120 = 0.
3, 8
What is c in -c**4 - 15*c**3 - 78*c**2 - 160*c - 96 = 0?
-6, -4, -1
Suppose 2*l**5 - 6*l**4 - 18*l**3 + 46*l**2 + 48*l - 72 = 0. What is l?
-2, 1, 3
Factor -p**2 + 102*p - 2601.
-(p - 51)**2
Determine q so that 2*q**3/3 + 18*q**2 - 38*q + 58/3 = 0.
-29, 1
Factor -r**3 + 3*r**2 + 45*r - 175.
-(r - 5)**2*(r + 7)
Factor 5*b**3 + 250*b**2 - 1065*b + 810.
5*(b - 3)*(b - 1)*(b + 54)
Determine b, given that 6498*b**3 + 14060*b**2 + 19544*b/9 + 784/9 = 0.
-2, -14/171
Solve 2*v**3/3 - 3916*v**2/3 + 1916882*v/3 = 0.
0, 979
Factor -30*r**3/13 - 14*r**2 - 282*r/13 - 18/13.
-2*(r + 3)**2*(15*r + 1)/13
Factor -2*q**2/9 - 82*q/9 - 140/3.
-2*(q + 6)*(q + 35)/9
Factor p**3 + 122*p**2 - 248*p.
p*(p - 2)*(p + 124)
Solve -t**3 - 21*t**2 - 144*t - 320 = 0 for t.
-8, -5
Let 4*m**3/7 + 468*m**2/7 + 464*m/7 = 0. What is m?
-116, -1, 0
Factor 5*n**2 + 1660*n + 137780.
5*(n + 166)**2
Factor 12*p**4 + 9*p**3 - 27*p**2 + 6*p.
3*p*(p - 1)*(p + 2)*(4*p - 1)
Factor -y**4/4 + 5*y**3 - 89*y**2/4 + 35*y/2.
-y*(y - 14)*(y - 5)*(y - 1)/4
What is m in -13*m**3/7 - 11*m**2/7 + 80*m/7 - 12/7 = 0?
-3, 2/13, 2
Determine m so that 15*m**3 - 1540*m**2 - 525*m + 1030 = 0.
-1, 2/3, 103
What is n in 7*n**4 - 5*n**3 - 7*n**2 + 5*n = 0?
-1, 0, 5/7, 1
Factor -4*x**3/5 - 76*x**2/5 - 312*x/5.
-4*x*(x + 6)*(x + 13)/5
Suppose 3*o**2 + 54*o = 0. What is o?
-18, 0
Factor 4*g**3/9 - 23*g**2/9 + 10*g/3 + 1.
(g - 3)**2*(4*g + 1)/9
Factor 2*k**5 - 10*k**4 - 6*k**3 + 34*k**2 - 20*k.
2*k*(k - 5)*(k - 1)**2*(k + 2)
Suppose -6*q**4 + 27*q**3 + 18*q**2 - 15*q = 0. Calculate q.
-1, 0, 1/2, 5
Determine w so that -76*w**2 - 79*w - 3 = 0.
-1, -3/76
Let -y**5/2 - y**4 + 3*y**3/2 + 2*y**2 - 2*y = 0. What is y?
-2, 0, 1
Let w**5/3 + w**4/3 - 5*w**3/3 + w**2 = 0. What is w?
-3, 0, 1
Factor -m**2/7 - 8*m - 108/7.
-(m + 2)*(m + 54)/7
Factor t**3 - 4*t**2 - 15*t + 18.
(t - 6)*(t - 1)*(t + 3)
Factor -4*d**2 - 344*d + 704.
-4*(d - 2)*(d + 88)
Factor -5*c**2 - 695*c - 2040.
-5*(c + 3)*(c + 136)
Determine f, given that -f**4 + 6*f**3 + 11*f**2 - 60*f - 100 = 0.
-2, 5
Factor 5*s**2 - 583*s - 234.
(s - 117)*(5*s + 2)
Let -2*c**3 - 4846*c**2 - 4844*c = 0. What is c?
-2422, -1, 0
What is v in -v**5 + 136*v**4 - 402*v**3 + 400*v**2 - 133*v = 0?
0, 1, 133
Suppose -4*y**5 + 44*y**4 - 108*y**3 - 44*y**2 + 112*y = 0. What is y?
-1, 0, 1, 4, 7
Find d, given that 2*d**3/7 - 102*d**2/7 - 2*d/7 + 102/7 = 0.
-1, 1, 51
Solve -20*t**2 + 372*t + 152 = 0.
-2/5, 19
Suppose 3*u**4 + 30*u**3 - 81*u**2 - 912*u + 960 = 0. Calculate u.
-8, 1, 5
Let 4*m**4/9 + 22*m**3/9 - 4*m**2/3 = 0. Calculate m.
-6, 0, 1/2
Factor -4*h**2 + 52*h - 120.
-4*(h - 10)*(h - 3)
Suppose 81*g**5/4 + 2943*g**4/4 - 2052*g**3 + 2082*g**2 - 932*g + 156 = 0. Calculate g.
-39, 2/3
Suppose -4*x**3 + 116*x**2 + 244*x + 124 = 0. What is x?
-1, 31
Solve 4*a**2 - 27280*a + 46512400 = 0 for a.
3410
Determine s so that 5*s**3 - 90*s**2 + 405*s = 0.
0, 9
Determine a, given that -a**5/4 - a**4/4 + 5*a**3/4 + 5*a**2/4 - a - 1 = 0.
-2, -1, 1,