3 - 30*j**2 + 156*j - 72 = 0. Calculate j.
-3, -2, 2/3, 1, 2
Determine l so that 2*l**4/3 - 200*l**3 + 14388*l**2 + 91800*l + 140454 = 0.
-3, 153
Let 4*n**5/7 - 16*n**4/7 - 192*n**3/7 - 440*n**2/7 - 388*n/7 - 120/7 = 0. What is n?
-3, -1, 10
Suppose 2*k**4/3 - 38*k**3/3 + 82*k**2 - 602*k/3 + 392/3 = 0. Calculate k.
1, 4, 7
What is l in -2*l**5 + 76*l**4/3 - 38*l**3 + 44*l**2/3 = 0?
0, 2/3, 1, 11
Determine r so that 36*r**5 + 19*r**4 - 150*r**3 - 76*r**2 + 24*r = 0.
-2, -3/4, 0, 2/9, 2
Find x, given that 4*x**2 - 304*x + 5776 = 0.
38
Suppose 3*y**3/7 - 198*y**2/7 + 195*y/7 = 0. Calculate y.
0, 1, 65
Factor -4*g**3 + 984*g**2.
-4*g**2*(g - 246)
Factor -4*d**3 + 128*d**2 - 100*d - 744.
-4*(d - 31)*(d - 3)*(d + 2)
Factor 3*z**5 + 369*z**4 + 1428*z**3 - 48*z**2 - 5760*z - 5712.
3*(z - 2)*(z + 2)**3*(z + 119)
Factor j**2/2 - 5*j + 12.
(j - 6)*(j - 4)/2
Factor -5*m**4 - 175*m**3 + 365*m**2 - 185*m.
-5*m*(m - 1)**2*(m + 37)
Let -2*p**4/11 + 28*p**3/11 - 114*p**2/11 + 72*p/11 + 216/11 = 0. What is p?
-1, 3, 6
Find d, given that 3*d**3/7 - 36*d**2/7 - 3*d/7 + 36/7 = 0.
-1, 1, 12
Factor -b**2 + 16*b/3 - 5/3.
-(b - 5)*(3*b - 1)/3
Factor 2*x**3/11 + 148*x**2/11 + 568*x/11 + 560/11.
2*(x + 2)**2*(x + 70)/11
Solve f**4/4 + 3*f**3 + 5*f**2 = 0 for f.
-10, -2, 0
Solve 3*o**2/4 + 147*o/4 = 0 for o.
-49, 0
Suppose -u**2 + 212*u - 11236 = 0. Calculate u.
106
Factor 10*t**2 + 58*t - 12.
2*(t + 6)*(5*t - 1)
Factor 21*u**3 - 30*u**2 + 9*u.
3*u*(u - 1)*(7*u - 3)
Suppose 2*t**3/11 - 18*t**2/11 + 52*t/11 - 48/11 = 0. Calculate t.
2, 3, 4
Let 20*j**3 + 9392*j**2 + 1100740*j - 441800 = 0. Calculate j.
-235, 2/5
Solve 72*f**4 + 452*f**3 + 472*f**2 + 52*f - 40 = 0.
-5, -1, -1/2, 2/9
Suppose n**4 - 13*n**3 + 11*n**2 + 13*n - 12 = 0. What is n?
-1, 1, 12
Suppose -16*x**4 - 52*x**3 + 84*x**2 + 152*x + 32 = 0. What is x?
-4, -1, -1/4, 2
Find m such that -3*m**2/4 - 603*m/4 = 0.
-201, 0
Suppose -h**2 + 4206*h - 4422609 = 0. Calculate h.
2103
Find c such that -2*c**4/9 - 16*c**3/3 - 10*c**2 - 44*c/9 = 0.
-22, -1, 0
Solve -16*i**2/3 + 5108*i/3 - 1276/3 = 0.
1/4, 319
Find p such that -2*p**4/17 + 12*p**3/17 - 10*p**2/17 - 24*p/17 = 0.
-1, 0, 3, 4
Factor y**4/4 + 45*y**3/4 + 129*y**2/4 + 127*y/4 + 21/2.
(y + 1)**3*(y + 42)/4
Factor -3*o**4/8 - 3*o**3/8 + 3*o**2/4.
-3*o**2*(o - 1)*(o + 2)/8
Determine q, given that -5*q**4/4 - 855*q**3/4 - 9450*q**2 - 26460*q = 0.
-84, -3, 0
Determine v, given that 5*v**4 - 120*v**3 + 420*v**2 - 400*v = 0.
0, 2, 20
Find r such that 3*r**2 - 420*r - 3552 = 0.
-8, 148
Factor m**3/3 + 63*m**2.
m**2*(m + 189)/3
Let o**5/2 + 3*o**4/2 - 5*o**3/2 - 3*o**2/2 + 2*o = 0. Calculate o.
-4, -1, 0, 1
Find g, given that -4*g**2 - 208*g - 2704 = 0.
-26
Determine g, given that -3*g**5 - 21*g**4/5 + 24*g**3/5 + 12*g**2/5 = 0.
-2, -2/5, 0, 1
Determine u, given that -3*u**4 + 15*u**3 - 12*u**2 = 0.
0, 1, 4
Determine h, given that 2*h**4/21 - 2*h**3/3 - 8*h**2/21 + 8*h/3 = 0.
-2, 0, 2, 7
Determine r so that -4*r**5/5 - 131*r**4/5 + 33*r**3/5 = 0.
-33, 0, 1/4
Suppose -3*i**3/4 + 101*i**2/4 - 81*i/2 + 16 = 0. Calculate i.
2/3, 1, 32
Factor -y**3/4 + y**2/4 + 7*y/2 - 6.
-(y - 3)*(y - 2)*(y + 4)/4
Let s**5/8 + 5*s**4 + 27*s**3 + 209*s**2/4 + 343*s/8 + 51/4 = 0. What is s?
-34, -3, -1
Factor -12*k**2 - 562*k + 94.
-2*(k + 47)*(6*k - 1)
Solve 2*h**4/11 - 18*h**3/11 - 70*h**2/11 + 306*h/11 - 20 = 0 for h.
-5, 1, 2, 11
Find d such that -d**2/4 + 19*d/2 + 20 = 0.
-2, 40
Suppose 4*u**2/5 - 56*u + 980 = 0. Calculate u.
35
Factor -5*q**3 + 135*q**2 - 660*q - 800.
-5*(q - 20)*(q - 8)*(q + 1)
Factor 2*z**2/9 + 208*z/9 - 70/3.
2*(z - 1)*(z + 105)/9
What is b in -5*b**5 + 205*b**4 - 1970*b**3 - 3270*b**2 + 11655*b - 6615 = 0?
-3, 1, 21
Determine f so that -f**2/8 - f/4 + 3 = 0.
-6, 4
Determine k so that k**2/3 - 6034*k/3 + 9102289/3 = 0.
3017
Determine b, given that -2*b**3/7 + 10*b**2/7 - 16*b/7 + 8/7 = 0.
1, 2
Factor 4*z**5 - 44*z**3 - 72*z**2 - 32*z.
4*z*(z - 4)*(z + 1)**2*(z + 2)
Factor 2*d**2/7 + 4*d/7 - 48/7.
2*(d - 4)*(d + 6)/7
Factor -t**2/2 + 233*t/2 + 235.
-(t - 235)*(t + 2)/2
Find m, given that -9*m**4/5 + 3*m**3/5 + 9*m**2/5 - 3*m/5 = 0.
-1, 0, 1/3, 1
Factor -3*w**4 - 4911*w**3 - 14715*w**2 - 14709*w - 4902.
-3*(w + 1)**3*(w + 1634)
Suppose 2*u**2 + 148*u - 150 = 0. What is u?
-75, 1
Solve -21*z**4/5 + 15*z**3 - 36*z**2/5 - 84*z/5 + 48/5 = 0.
-1, 4/7, 2
Find p, given that 507*p**2 - 2808*p + 3888 = 0.
36/13
Factor 2*s**2 + 534*s + 1060.
2*(s + 2)*(s + 265)
Factor -w**4/6 - 19*w**3/3 - 107*w**2/2 + 380*w/3 - 200/3.
-(w - 1)**2*(w + 20)**2/6
Factor 64*l**2 + 7264*l + 206116.
4*(4*l + 227)**2
What is s in -35854358805*s**4 - 985686840*s**3 - 10161720*s**2 - 46560*s - 80 = 0?
-2/291
Let 2*c**5/5 - 2*c**4/5 - 8*c**3/5 + 8*c**2/5 = 0. Calculate c.
-2, 0, 1, 2
Find z, given that -5*z**3 - 65*z**2 - 210*z = 0.
-7, -6, 0
What is j in -5*j**4 - 225*j**3 + 960*j**2 - 980*j = 0?
-49, 0, 2
What is w in 3556996*w**3/7 + 7098904*w**2/7 - 30160*w/7 + 32/7 = 0?
-2, 2/943
Solve -2*d**5 + 12*d**4 + 336*d**3 + 1600*d**2 + 2304*d = 0 for d.
-4, 0, 18
Factor 2*u**4/17 - 344*u**3/17 + 15788*u**2/17 - 85656*u/17 + 124002/17.
2*(u - 83)**2*(u - 3)**2/17
Determine y, given that -3*y**4 + 141*y**3 + 9*y**2 - 417*y - 282 = 0.
-1, 2, 47
Factor -z**4 + 41*z**3.
-z**3*(z - 41)
Factor 6*p**2/5 + 54*p/5 + 48/5.
6*(p + 1)*(p + 8)/5
Solve 3*b**4 - 15*b**3 - 9*b**2 + 39*b + 30 = 0.
-1, 2, 5
Factor 4*v**4 + 28*v**3 + 56*v**2 + 32*v.
4*v*(v + 1)*(v + 2)*(v + 4)
Let 2*f**4/19 - 2*f**3/19 - 44*f**2/19 - 88*f/19 - 48/19 = 0. Calculate f.
-2, -1, 6
Solve -2*g**5/5 + 76*g**4/5 + 78*g**3/5 = 0.
-1, 0, 39
Find s such that s**3/2 + 11*s**2 - 295*s/2 + 400 = 0.
-32, 5
Find w such that -4*w**3 + 24*w**2 - 36*w + 16 = 0.
1, 4
Factor -20*i**4 + 12*i**3 + 20*i**2 - 12*i.
-4*i*(i - 1)*(i + 1)*(5*i - 3)
Factor 2*c**2 + 254*c - 780.
2*(c - 3)*(c + 130)
Suppose 2*n**3/7 + 4*n**2/7 - 78*n/7 + 144/7 = 0. Calculate n.
-8, 3
Factor -3*p**2/4 + 57*p + 2295/4.
-3*(p - 85)*(p + 9)/4
Find d such that 4*d**4 + 216*d**3 - 688*d**2 - 216*d + 684 = 0.
-57, -1, 1, 3
Factor 49*o**2/3 + 3836*o + 225228.
(7*o + 822)**2/3
Factor 4*d**2 - 368*d + 8464.
4*(d - 46)**2
Solve 2*b**3 - 40*b**2 + 38*b = 0 for b.
0, 1, 19
Factor -2*u**5/7 + 48*u**4/7 - 384*u**3/7 + 1280*u**2/7 - 1536*u/7.
-2*u*(u - 12)*(u - 4)**3/7
Let -10*q**3 - 75*q**2 + 40*q = 0. What is q?
-8, 0, 1/2
Factor 3*x**3/2 + 117*x**2/2 + 552*x.
3*x*(x + 16)*(x + 23)/2
Factor 4*w**5 + 64*w**4 + 352*w**3 + 768*w**2 + 576*w.
4*w*(w + 2)**2*(w + 6)**2
Suppose 2*y**4 - 4*y**3 - 14*y**2 + 16*y + 24 = 0. Calculate y.
-2, -1, 2, 3
Factor 5*w**4 - 157*w**3 - 263*w**2 - 35*w + 66.
(w - 33)*(w + 1)**2*(5*w - 2)
Factor 2*o**2/3 + 128*o/3 + 2048/3.
2*(o + 32)**2/3
Factor -4*y**3 + 15228*y**2 - 19324332*y + 8174192436.
-4*(y - 1269)**3
Factor b**5 + 19*b**4 + 78*b**3 + 116*b**2 + 56*b.
b*(b + 1)*(b + 2)**2*(b + 14)
Find a such that 11*a**2 - 37*a + 12 = 0.
4/11, 3
Let 361*j**3 + 1442*j**2 + 1436*j - 8 = 0. Calculate j.
-2, 2/361
Factor 2*q**2/19 + 280*q/19 + 278/19.
2*(q + 1)*(q + 139)/19
Factor 4*t**2 + 176*t + 1612.
4*(t + 13)*(t + 31)
Solve -3*z**4/5 + 6*z**3 - 111*z**2/5 + 36*z - 108/5 = 0 for z.
2, 3
Find c such that 3*c**3/4 - 33*c**2/2 - 405*c/4 = 0.
-5, 0, 27
Suppose 5*y**2 - 1840*y + 14400 = 0. What is y?
8, 360
Factor 3*v**3/2 - 69*v**2/8 - 33*v/8 + 45/4.
3*(v - 6)*(v - 1)*(4*v + 5)/8
Factor -2*x**4/3 - 374*x**3/3 + 378*x**2 - 1138*x/3 + 380/3.
-2*(x - 1)**3*(x + 190)/3
Determine d, given that -5*d**4 - 20*d**3 + 55*d**2 - 30*d = 0.
-6, 0, 1
Factor -4*s**3 + 6056*s**2 + 4*s - 6056.
-4*(s - 1514)*(s - 1)*(s + 1)
Determine s so that 4*s**4 - 352*s**3 + 9304*s**2 - 68640*s + 152100 = 0.
5, 39
Factor 2*k**2 - 20588*k + 52983218.
2*(k - 5147)**2
Factor 3*h**2 + 1164*h + 112908.
3*(h + 194)**2
Determine s, given that -3*s**3 + 216*s**2 - 5184*s + 41472 = 0.
24
Factor d**3/2 - 205*d**2/2 - 413*d/2 - 207/2.
(d - 207)*(d + 1)**2/2
Factor k**3/2 - 37*k**2/2 + 105*k.
k*(k - 30)*(k - 7)/2
Let -12*q**5 + 123*q**4 - 234*q**3 + 147*q**2 - 24*q = 0. What is q?
0, 1/4, 1, 8
Determine l, given that l**2/9 - 22*l/3 + 121 = 0.
33
Factor -l**2/9 - 26*l/9 - 40/3.
-(l + 6)*(l + 20)/9
Factor -f**5 + 4*f**4 + 11*f**3 + 6*f**2.
-f**2*(f - 6)*(f + 1)**2
Solve -2*i**4/5 + 24*i**3/5 + 134*i**2/5 - 12*i - 576/5 = 0 fo