8*n = 0. Calculate n.
0, 3232
Solve x**5 + 32*x**4 + 221*x**3 - 578*x**2 = 0 for x.
-17, 0, 2
Let 588*v**2 + 252*v + 27 = 0. Calculate v.
-3/14
Solve -18*q**5 - 40*q**4 + 46*q**3 + 12*q**2 = 0.
-3, -2/9, 0, 1
Factor -2*q**5 + 62*q**4 - 448*q**3 - 512*q**2.
-2*q**2*(q - 16)**2*(q + 1)
Let 4*w**2 - 8*w = 0. What is w?
0, 2
Determine n, given that 5*n**4/2 - 697*n**3/2 + 2799*n**2 - 6304*n + 2096 = 0.
2/5, 4, 131
Find b, given that -2*b**2/7 - 122*b/7 - 120/7 = 0.
-60, -1
Determine r so that -2*r**4/15 - 34*r**3/15 - 34*r**2/3 - 82*r/5 - 36/5 = 0.
-9, -6, -1
Let 5*p**5/2 + 25*p**4/2 + 45*p**3/2 + 35*p**2/2 + 5*p = 0. Calculate p.
-2, -1, 0
Factor -3*s**5/5 - 87*s**4/5 - 312*s**3/5 - 60*s**2.
-3*s**2*(s + 2)**2*(s + 25)/5
Factor -99*b**2/7 + 15*b/7 + 6/7.
-3*(3*b - 1)*(11*b + 2)/7
Factor 4*o**2 + 40*o.
4*o*(o + 10)
Determine s, given that 25*s**4/4 + 40*s**3 + 185*s**2/4 + 25*s/2 = 0.
-5, -1, -2/5, 0
Factor h**2 + 38*h + 72.
(h + 2)*(h + 36)
Solve o**2 + o - 2 = 0 for o.
-2, 1
Let 12*q**3 - 128*q**2 + 332*q - 168 = 0. What is q?
2/3, 3, 7
Factor 2*q**3/3 + 28*q**2/3 - 136*q/3 + 48.
2*(q - 2)**2*(q + 18)/3
Factor o**3/5 - 382*o**2/5 + 7372*o - 14440.
(o - 190)**2*(o - 2)/5
Find a such that 20*a**5 - 15*a**4 - 345*a**3 + 335*a**2 + 825*a + 180 = 0.
-4, -1, -1/4, 3
Determine r, given that -50*r**5 - 1310*r**4 - 11078*r**3 - 26946*r**2 + 27216*r - 5832 = 0.
-9, 2/5
Find m such that -47*m**3 - 367*m**2/2 - 170*m + 18 = 0.
-2, 9/94
Factor 5*f**4 + 380*f**3 - 3255*f**2 + 8730*f - 7560.
5*(f - 3)**2*(f - 2)*(f + 84)
Factor -53*s**2/7 + 50*s/7 + 3/7.
-(s - 1)*(53*s + 3)/7
Let -3*b**3 - 306*b**2 - 6435*b + 72600 = 0. Calculate b.
-55, 8
Factor -b**4/4 - 27*b**3/2 - 193*b**2 - 234*b + 1352.
-(b - 2)*(b + 4)*(b + 26)**2/4
Factor -3*u**2 - 30*u + 72.
-3*(u - 2)*(u + 12)
Solve 4*k**3/3 - 124*k**2/3 - 400*k/3 - 272/3 = 0 for k.
-2, -1, 34
Suppose -5*g**3 + 320*g = 0. What is g?
-8, 0, 8
Suppose 112*v**3 + 1020*v**2 - 1012*v - 120 = 0. Calculate v.
-10, -3/28, 1
Find m, given that 4*m**4/7 - 1620*m**3/7 + 23316*m**2 + 23548*m = 0.
-1, 0, 203
Find h such that -5*h**4 + 1160*h**3 - 63710*h**2 - 414120*h - 637245 = 0.
-3, 119
Factor -j**4 - 14*j**3 + 60*j**2 + 1400*j + 4000.
-(j - 10)*(j + 4)*(j + 10)**2
What is r in -2*r**2/13 + 15592*r/13 - 30388808/13 = 0?
3898
Factor 25*j**3/6 - 85*j**2/6 + 31*j/6 - 1/2.
(j - 3)*(5*j - 1)**2/6
Let 3*k**2/4 - 237*k/2 + 234 = 0. What is k?
2, 156
Factor -578*o**2 + 408*o - 72.
-2*(17*o - 6)**2
Determine m so that -5*m**5 - 40*m**4 + 95*m**3 + 490*m**2 + 360*m = 0.
-9, -2, -1, 0, 4
Find r such that -2*r**3/13 - 896*r**2/13 - 4442*r/13 - 5316/13 = 0.
-443, -3, -2
Factor -2*m**2 - 426*m + 3080.
-2*(m - 7)*(m + 220)
Factor -5*n**2/3 + 24725*n/3.
-5*n*(n - 4945)/3
Factor 4*s**4 + 22140*s**3 + 30625152*s**2 - 30647296*s.
4*s*(s - 1)*(s + 2768)**2
Factor 5*b**5 + 5*b**4 - 35*b**3 - 65*b**2 - 30*b.
5*b*(b - 3)*(b + 1)**2*(b + 2)
What is l in 3*l**4/8 + 3*l**3/4 - 9*l**2/8 - 3*l - 3/2 = 0?
-2, -1, 2
Factor -36*w**3 + 182*w**2 - 10*w.
-2*w*(w - 5)*(18*w - 1)
Determine y so that -4*y**2 + 440*y - 12100 = 0.
55
Find m such that -m**2/5 + 521*m/5 - 104 = 0.
1, 520
Determine m so that 4*m**3 - 12*m - 8 = 0.
-1, 2
Factor -q**2/2 + 45*q/2.
-q*(q - 45)/2
Factor k**3/3 + 2*k**2/3 - 184*k/3 + 640/3.
(k - 10)*(k - 4)*(k + 16)/3
Factor q**3/5 - 6*q**2/5 + 11*q/5 - 6/5.
(q - 3)*(q - 2)*(q - 1)/5
Factor -3*m**4/2 + 9*m**3/2 + 45*m**2/2 + 51*m/2 + 9.
-3*(m - 6)*(m + 1)**3/2
Find z such that 5*z**5 - 40*z**4 - 1180*z**3 - 1360*z**2 + 20480*z - 25600 = 0.
-8, 2, 20
Solve -p**3 + 75*p**2 + 9*p - 675 = 0 for p.
-3, 3, 75
Determine g, given that 5*g**3 - 595*g**2 - 5*g + 595 = 0.
-1, 1, 119
Factor -2*v**3 - 286*v**2 - 1662*v - 2466.
-2*(v + 3)**2*(v + 137)
Determine d, given that 4*d**4 - 924*d**3 + 1836*d**2 - 916*d = 0.
0, 1, 229
Solve 35*g**3/6 - 160*g**2/3 - 50*g = 0.
-6/7, 0, 10
Factor 5*m**2/3 - 19*m/3 - 4/3.
(m - 4)*(5*m + 1)/3
Find w, given that -3*w**4 - 3*w**3 + 66*w**2 + 120*w = 0.
-4, -2, 0, 5
Determine w so that -w**4/5 - 4*w**3/5 + 91*w**2/5 + 98*w = 0.
-7, 0, 10
Let -42*b**5 - 370*b**4/3 + 32*b**3/3 + 8*b**2 = 0. What is b?
-3, -2/9, 0, 2/7
Factor 2*v**2/9 + 34*v/9 - 76/9.
2*(v - 2)*(v + 19)/9
What is b in 5*b**4/4 + 35*b**3/4 + 5*b**2 - 15*b = 0?
-6, -2, 0, 1
Factor 2*p**3 - 10*p**2 - 400*p + 3000.
2*(p - 10)**2*(p + 15)
Factor -6*y**2 + 333*y - 165.
-3*(y - 55)*(2*y - 1)
Factor f**2 - 122*f + 3721.
(f - 61)**2
Suppose -8*b**4 + 52*b**3 - 124*b**2 + 128*b - 48 = 0. What is b?
1, 3/2, 2
Solve -5*c**3 - 80*c**2 + 85*c = 0.
-17, 0, 1
Determine t, given that 2*t**2 - 40*t - 88 = 0.
-2, 22
Solve -4*k**2/9 - 128*k/9 - 208/3 = 0.
-26, -6
Factor -3*v**3/2 + 83*v**2/2 - 27*v.
-v*(v - 27)*(3*v - 2)/2
Factor 4*o**5 + 4*o**4 - 4*o**3 - 4*o**2.
4*o**2*(o - 1)*(o + 1)**2
Let 18*f**4/5 - 1184*f**3/5 + 3444*f**2/5 - 3408*f/5 + 226 = 0. Calculate f.
1, 565/9
Let -p**2/10 - 5513*p/10 - 2756/5 = 0. Calculate p.
-5512, -1
Factor 4*p**2/7 + 28*p - 408/7.
4*(p - 2)*(p + 51)/7
Solve z**2/6 + 143*z/6 - 73 = 0.
-146, 3
Factor m**5 - 25*m**4 - 819*m**3 - 6419*m**2 - 15778*m.
m*(m - 46)*(m + 7)**3
Factor 2*n**3/5 + 4*n**2 + 46*n/5 + 28/5.
2*(n + 1)*(n + 2)*(n + 7)/5
Factor 4*s**3 + 20*s**2 + 24*s.
4*s*(s + 2)*(s + 3)
Let c**2/2 - 1958*c + 1916882 = 0. Calculate c.
1958
Find a, given that -9*a**2 - 147*a - 48 = 0.
-16, -1/3
Solve o**5/3 - o**4 - 2*o**3/3 + 4*o**2 - 8*o/3 = 0 for o.
-2, 0, 1, 2
Solve -2*j**3/15 - 14*j**2/15 - 14*j/15 + 2 = 0.
-5, -3, 1
Factor -2*h**3 + 24*h**2 + 338*h + 840.
-2*(h - 21)*(h + 4)*(h + 5)
Factor 3*f**3/4 - 117*f**2/4 - 63*f/2 + 60.
3*(f - 40)*(f - 1)*(f + 2)/4
Factor y**3/4 + 21*y**2/2 + 225*y/4 + 81.
(y + 3)**2*(y + 36)/4
Find u, given that -u**5/2 - 25*u**4 - 258*u**3 + 1377*u**2 - 2187*u/2 = 0.
-27, 0, 1, 3
Determine d, given that 2*d**4/13 - 24*d**3/13 + 8*d**2/13 + 384*d/13 + 512/13 = 0.
-2, 8
Find i, given that 2*i**4/5 - 38*i**3/5 + 194*i**2/5 - 18*i - 324/5 = 0.
-1, 2, 9
Find y, given that 5*y**2 - 1155*y - 3510 = 0.
-3, 234
Solve 3*m**2/2 - 93*m + 180 = 0 for m.
2, 60
Solve -5*s**3 - 745*s**2 = 0.
-149, 0
Solve 4*q**3 + 44*q**2 + 92*q - 140 = 0 for q.
-7, -5, 1
Factor 6*y**4/5 - 3*y**3 + 12*y**2/5 - 3*y/5.
3*y*(y - 1)**2*(2*y - 1)/5
Find r such that -5*r**2 + 805*r = 0.
0, 161
Solve 15*z**5 + 605*z**4 - 425*z**3 - 605*z**2 + 410*z = 0 for z.
-41, -1, 0, 2/3, 1
Determine g, given that -2*g**4 + 58*g**3 + 188*g**2 + 128*g = 0.
-2, -1, 0, 32
Factor 2*o**5/13 - 8*o**4/13 + 2*o**3/13 + 20*o**2/13 - 8*o/13 - 16/13.
2*(o - 2)**3*(o + 1)**2/13
Factor -3*u**3 - 3*u**2 + 6*u.
-3*u*(u - 1)*(u + 2)
What is h in h**4/4 - 51*h**3/4 + 663*h**2/4 - 25*h/4 - 1875 = 0?
-3, 4, 25
Let 9*a**4 + 39*a**3 - 623*a**2 + 401*a - 66 = 0. Calculate a.
-11, 1/3, 6
Factor 50*h**3 - 3340*h**2 + 9058*h - 6272.
2*(h - 64)*(5*h - 7)**2
Find c, given that -5*c**5 + 25*c**4 + 195*c**3 - 685*c**2 + 710*c - 240 = 0.
-6, 1, 8
Determine c so that 60*c**3/17 - 14*c**2/17 - 54*c/17 + 20/17 = 0.
-1, 2/5, 5/6
Determine r, given that 2*r**2/11 - 204*r/11 - 206/11 = 0.
-1, 103
Factor 339*j**4 - 1368*j**3 + 1404*j**2 - 48*j.
3*j*(j - 2)**2*(113*j - 4)
Suppose -3*g**2/4 + 75*g/4 = 0. Calculate g.
0, 25
Let -3*t**3/2 + 57*t**2/2 - 120*t - 150 = 0. What is t?
-1, 10
Find c such that -11*c**5/2 - 29*c**4 - 57*c**3 - 52*c**2 - 43*c/2 - 3 = 0.
-2, -1, -3/11
Factor -a**4 - 14*a**3 - 11*a**2 + 26*a.
-a*(a - 1)*(a + 2)*(a + 13)
Find n such that 7*n**3/3 - 121*n**2/3 + 146*n/3 - 32/3 = 0.
2/7, 1, 16
Factor 2*u**2 + 128*u + 2048.
2*(u + 32)**2
Let -2809*y**3/6 - 530*y**2/3 - 50*y/3 = 0. What is y?
-10/53, 0
Factor -4*s**4 - 20*s**3 - 32*s**2 - 16*s.
-4*s*(s + 1)*(s + 2)**2
Factor 4*g**2 + 48*g + 144.
4*(g + 6)**2
Determine k, given that -2*k**2/3 - 34*k - 196/3 = 0.
-49, -2
Let 5*x**2/3 - 30680*x/3 + 47063120/3 = 0. Calculate x.
3068
Find l such that -3*l**3/4 - 9*l**2/2 - 33*l/4 - 9/2 = 0.
-3, -2, -1
Determine x so that x**5/4 - 3*x**4/4 - 21*x**3/4 + 47*x**2/4 + 30*x - 36 = 0.
-3, 1, 4
Find q such that 4*q**4/7 + 40*q**3 + 1072*q**2/7 + 1056*q/7 = 0.
-66, -2, 0
Factor 3*y**5 + 30*y**4 - 9*y**3 - 420*y**2 + 588*y.
3*y*(y - 2)**2*(y + 7)**2
Suppose b**5/10 - 2*b**4/5 - 3*b**3/5 + 2*b**2/5 + b/2 = 0. Calculate b.
-1, 0, 1, 5
Factor 735*h**3 - 693*h**2 + 72*h + 48.
3*(5*h + 1)*(7*h - 4)*