*3 + 4584*r**2 + 1751088*r + 222971872.
4*(r + 382)**3
Factor 3*q**5 + 48*q**4 + 87*q**3 + 42*q**2.
3*q**2*(q + 1)**2*(q + 14)
Suppose -9*y**5 + 624*y**4 - 13161*y**3 + 76806*y**2 - 15660*y - 48600 = 0. Calculate y.
-2/3, 1, 9, 30
Solve 1715*f**5 - 519890*f**4 + 39176900*f**3 + 33835240*f**2 + 9691520*f + 924160 = 0.
-2/7, 152
Suppose -9*g**2 - 1696*g - 752 = 0. Calculate g.
-188, -4/9
Determine j, given that -4*j**2 + 308*j = 0.
0, 77
Solve 5*n**5/2 - 559*n**4/4 + 2426*n**3 - 13196*n**2 + 21696*n + 2304 = 0.
-1/10, 4, 24
Suppose -3*w**2/5 + 234*w/5 + 2064/5 = 0. Calculate w.
-8, 86
Find k, given that 20*k**5 + 52*k**4 - 576*k**3 - 304*k**2 + 4864*k - 5376 = 0.
-28/5, -4, 2, 3
Factor s**2/2 + 10*s.
s*(s + 20)/2
Find l such that -l**5 - 114*l**4 + 2*l**3 + 228*l**2 - l - 114 = 0.
-114, -1, 1
Suppose 2*h**2/7 + 114*h/7 - 920 = 0. What is h?
-92, 35
Suppose o**3/5 - 38*o**2/5 + 73*o/5 - 36/5 = 0. Calculate o.
1, 36
Solve 2*z**3/7 + 22*z**2/7 + 20*z/7 = 0 for z.
-10, -1, 0
Find z such that 30*z**5 - 1076*z**4 - 1254*z**3 - 148*z**2 = 0.
-1, -2/15, 0, 37
What is p in 4*p**2 - 60*p - 400 = 0?
-5, 20
Factor -p**4/2 - 13*p**3/2 + 63*p**2/2 - 83*p/2 + 17.
-(p - 2)*(p - 1)**2*(p + 17)/2
Find w such that 3*w**4/8 - 15*w**3/8 + 3*w**2 - 3*w/2 = 0.
0, 1, 2
Factor p**2/4 - 77*p/2 + 5929/4.
(p - 77)**2/4
Factor -11*s**3/5 + 452*s**2/5 - 41*s/5.
-s*(s - 41)*(11*s - 1)/5
Factor 2*q**3 - 794*q**2 - 2*q + 794.
2*(q - 397)*(q - 1)*(q + 1)
Find t such that -t**4 + 103*t**3 - 3813*t**2 + 58621*t - 297910 = 0.
10, 31
Determine i so that 8*i**4 - 42*i**3 + 2*i**2 + 42*i - 10 = 0.
-1, 1/4, 1, 5
Find r, given that 49*r**5 + 126*r**4 - 577*r**3 + 134*r**2 + 228*r + 40 = 0.
-5, -2/7, 1, 2
Factor 3*s**3 + 9*s**2 - 3*s - 9.
3*(s - 1)*(s + 1)*(s + 3)
Determine g so that -g**3 - 179*g**2 - 355*g - 177 = 0.
-177, -1
Find v, given that v**3/4 + 5*v**2/4 + v/2 - 2 = 0.
-4, -2, 1
Solve -3*b**3 + 18*b**2 + 108*b + 120 = 0 for b.
-2, 10
Solve 2*g**2 - 76*g = 0 for g.
0, 38
What is p in -2*p**2/7 + 36*p/7 - 144/7 = 0?
6, 12
What is z in z**3 - 9*z**2/2 - 10*z + 6 = 0?
-2, 1/2, 6
Factor -w**3/10 + 9*w**2/2 - 87*w/10 + 43/10.
-(w - 43)*(w - 1)**2/10
What is b in -3*b**5 + 132*b**4 + 276*b**3 + 6*b**2 - 273*b - 138 = 0?
-1, 1, 46
Let 4*i**3/7 + 36*i**2/7 + 32*i/7 = 0. What is i?
-8, -1, 0
Factor 4*m**2 - 196*m.
4*m*(m - 49)
Let -4*b**2 - 60*b - 56 = 0. Calculate b.
-14, -1
Suppose -4*f**5/3 - 392*f**4/3 - 9604*f**3/3 = 0. Calculate f.
-49, 0
Factor 3*j**2 + 177*j.
3*j*(j + 59)
Suppose l**3/3 + 262*l**2/3 + 17161*l/3 = 0. What is l?
-131, 0
Factor -2*f**3/3 + 712*f**2/3 - 63368*f/3.
-2*f*(f - 178)**2/3
Let -2*m**2/11 + 82*m/11 + 360/11 = 0. Calculate m.
-4, 45
Factor 169*h**2/2 - 26*h + 2.
(13*h - 2)**2/2
Determine x, given that 4*x**5/9 + 112*x**4/9 - 236*x**3/9 + 40*x**2/3 = 0.
-30, 0, 1
Determine o so that -2*o**2/5 + 1968*o/5 - 484128/5 = 0.
492
Suppose -5*m**2 - 55*m = 0. Calculate m.
-11, 0
Determine s, given that -s**3/5 + 656*s**2/5 - 131*s = 0.
0, 1, 655
Factor k**2/2 - 113*k + 224.
(k - 224)*(k - 2)/2
Solve 3*i**2/2 + 2913*i/2 = 0 for i.
-971, 0
Factor -5*w**2 + 95*w - 420.
-5*(w - 12)*(w - 7)
Factor -z**2 - 9*z - 18.
-(z + 3)*(z + 6)
Determine p so that 2*p**5/7 + 320*p**4/7 - 988*p**3 + 50280*p**2/7 - 21474*p + 22680 = 0.
-180, 3, 7
Factor 20*h**2/17 - 394*h/17 - 120/17.
2*(h - 20)*(10*h + 3)/17
Factor q**3/8 + 327*q**2/8 - 657*q/8 + 329/8.
(q - 1)**2*(q + 329)/8
Suppose 112*h**5/3 + 788*h**4/3 - 92*h**3/3 - 844*h**2/3 - 20*h/3 + 56/3 = 0. Calculate h.
-7, -1, -2/7, 1/4, 1
Factor 3*v**2/4 + 1635*v/2 + 891075/4.
3*(v + 545)**2/4
Suppose -22*j**2/7 - 276*j/7 - 800/7 = 0. What is j?
-8, -50/11
Factor -3*n**4/8 + 3*n**3 - 3*n**2/2 - 18*n.
-3*n*(n - 6)*(n - 4)*(n + 2)/8
Determine n, given that -3*n**5 + 53*n**4/2 + 15*n**3/2 - 53*n**2/2 - 9*n/2 = 0.
-1, -1/6, 0, 1, 9
Factor -2*b**4 - 12*b**3 + 142*b**2 + 480*b - 3200.
-2*(b - 5)**2*(b + 8)**2
Factor 4*n**2 - 27952*n + 48832144.
4*(n - 3494)**2
Solve -10*m**2/3 - 1868*m/3 - 1858/3 = 0.
-929/5, -1
Factor -2*d**3/3 - 8*d**2/3 + 134*d/3 + 140/3.
-2*(d - 7)*(d + 1)*(d + 10)/3
Solve 5*m**3 - 270*m**2 + 525*m - 260 = 0.
1, 52
Factor 4*w**2 - 64*w + 256.
4*(w - 8)**2
Solve 4*v**3/9 - 452*v**2/9 + 712*v/3 + 288 = 0 for v.
-1, 6, 108
Determine a so that -2*a**5 + 2*a**4 + 16*a**3 - 16*a**2 - 32*a + 32 = 0.
-2, 1, 2
Factor -11*k**3 - 8*k**2 + 3*k.
-k*(k + 1)*(11*k - 3)
Factor -3*k**2 - 6*k + 9.
-3*(k - 1)*(k + 3)
Factor 5*u**5 + 30*u**4 + 65*u**3 + 60*u**2 + 20*u.
5*u*(u + 1)**2*(u + 2)**2
Solve 20*t**4 - 28*t**3 - 124*t**2 + 60*t + 72 = 0.
-2, -3/5, 1, 3
Factor -b**2/8 + 6*b - 72.
-(b - 24)**2/8
Factor 2*q**2/9 + 12*q.
2*q*(q + 54)/9
Factor -2*n**4 - 11*n**3 + 21*n**2 - n - 7.
-(n - 1)**2*(n + 7)*(2*n + 1)
Factor -v**3/6 + 5*v**2/2 - 19*v/3 + 4.
-(v - 12)*(v - 2)*(v - 1)/6
What is d in -5*d**4 + 115*d**3 - 485*d**2 + 645*d - 270 = 0?
1, 3, 18
Factor -2*h**4 - 70*h**3 - 316*h**2 - 488*h - 240.
-2*(h + 1)*(h + 2)**2*(h + 30)
Factor 2*o**4/13 - 2*o**3/13 - 8*o**2/13 + 8*o/13.
2*o*(o - 2)*(o - 1)*(o + 2)/13
Factor 3*m**3 + 93*m**2.
3*m**2*(m + 31)
Suppose 3*j**4/4 - 27*j**3 - 9*j**2/4 + 159*j/2 + 54 = 0. Calculate j.
-1, 2, 36
Factor 13*j**2 - 75*j - 18.
(j - 6)*(13*j + 3)
Solve 6*j**2 + 501*j + 249 = 0.
-83, -1/2
Find a, given that -10*a**3 - 55*a**2 - 75*a = 0.
-3, -5/2, 0
Factor 3*n**2 + 33*n - 78.
3*(n - 2)*(n + 13)
Suppose v**3/5 - 24*v**2/5 - 52*v/5 = 0. What is v?
-2, 0, 26
Find u, given that 16*u**3 + 372*u**2 - 1156*u - 312 = 0.
-26, -1/4, 3
Factor -2*x**4/11 - 6*x**3/11 + 30*x**2/11 - 34*x/11 + 12/11.
-2*(x - 1)**3*(x + 6)/11
Find q, given that 2*q**3 - 10*q**2 + 12*q = 0.
0, 2, 3
Determine f, given that 3*f**3 - 225*f**2 + 648*f = 0.
0, 3, 72
Factor -12*z**3 - 716*z**2 - 468*z + 236.
-4*(z + 1)*(z + 59)*(3*z - 1)
Determine g so that -g**2/4 - 101*g/2 - 201/4 = 0.
-201, -1
Factor -3*o**4/4 + 27*o**3/4 - 27*o**2/2.
-3*o**2*(o - 6)*(o - 3)/4
Determine g, given that -49*g**5/3 + 42*g**4 + 372*g**3 - 664*g**2/3 + 32*g = 0.
-4, 0, 2/7, 6
Factor -3*i**3/7 - 69*i**2/7 - 429*i/7 - 363/7.
-3*(i + 1)*(i + 11)**2/7
Factor -4*u**2/3 + 88*u.
-4*u*(u - 66)/3
Factor f**3 - 41*f**2 - 85*f - 43.
(f - 43)*(f + 1)**2
Factor 21*h**4 + 258*h**3 + 828*h**2 + 888*h + 192.
3*(h + 2)**2*(h + 8)*(7*h + 2)
Factor 2*o**2 - 7340*o + 6734450.
2*(o - 1835)**2
Find q such that -4*q**2 - 212*q + 2232 = 0.
-62, 9
Factor 244*r**4 + 10240*r**3 + 107268*r**2 - 3528*r.
4*r*(r + 21)**2*(61*r - 2)
Factor 2*g**5/5 + 14*g**4/5 - 12*g**3.
2*g**3*(g - 3)*(g + 10)/5
Factor 6*d**2/7 - 48*d/7 + 90/7.
6*(d - 5)*(d - 3)/7
Solve -6*y**4 - 17*y**3 - 15*y**2 - 3*y + 1 = 0 for y.
-1, 1/6
Factor -a**2 + 101*a - 100.
-(a - 100)*(a - 1)
Suppose -4*d**3 - 148*d**2 + 1920*d + 82800 = 0. What is d?
-30, 23
Factor -90*p**3 + 805*p**2 - 675*p - 40.
-5*(p - 8)*(p - 1)*(18*p + 1)
Determine g, given that -7*g**2 - 262*g - 111 = 0.
-37, -3/7
Solve 3*h**3/2 + 78*h**2 + 1545*h/2 + 2100 = 0 for h.
-40, -7, -5
Let 2*c**5/7 + 8*c**4/7 + 8*c**3/7 = 0. What is c?
-2, 0
Factor -l**2/4 + 43*l/2 - 85/4.
-(l - 85)*(l - 1)/4
Factor -3*s**2 - 339*s.
-3*s*(s + 113)
Suppose h**4/3 + 6*h**3 + 5*h**2 - 34*h/3 = 0. Calculate h.
-17, -2, 0, 1
Factor 3*q**5 - 87*q**4 + 882*q**3 - 3402*q**2 + 2187*q + 6561.
3*(q - 9)**3*(q - 3)*(q + 1)
Factor -g**4/2 + 2*g**3 + 5*g**2/2.
-g**2*(g - 5)*(g + 1)/2
Factor 5*w**2 - 5710*w + 1630205.
5*(w - 571)**2
Let 12*t**4/5 - 243*t**3/5 + 876*t**2/5 - 972*t/5 + 192/5 = 0. Calculate t.
1/4, 2, 16
What is t in -2*t**5 + 6*t**4 + 10*t**3 - 54*t**2 + 64*t - 24 = 0?
-3, 1, 2
Factor -5*r**3 - 190*r**2 + 1075*r.
-5*r*(r - 5)*(r + 43)
Solve -3*y**5 - 5*y**4 + 11*y**3 + 9*y**2 - 16*y + 4 = 0 for y.
-2, 1/3, 1
Factor -4*a**2/7 - 2920*a/7 - 8724/7.
-4*(a + 3)*(a + 727)/7
Let -2*y**4/5 + 2*y**3 + 94*y**2/5 - 42*y + 108/5 = 0. What is y?
-6, 1, 9
Let -9*x**2 + 25*x + 6 = 0. Calculate x.
-2/9, 3
Factor -4*f**4 - 104*f**3 - 400*f**2 + 4200*f + 4500.
-4*(f - 5)*(f + 1)*(f + 15)**2
Factor 4*u**5 - 8*u**4 - 12*u**3 + 32*u**2 - 16*u.
4*u*(u - 2)*(u - 1)**2*(u + 2)
Factor -y**4/3 - 7*y**3/3 + 10*y**2/3 + 16*y/3.
-y*(y - 2)*(y + 1)*(y + 8)/3
Determine v, given that 9*v**4/4 - 105*v**3 + 273*v**2/4 + 69*v/2 = 0.
-1/3, 0, 1, 46
Suppose y**4/4 - 109*y**3/4 - 221*y**2/4 - 111*y/4 = 0. What is y?
-1, 0, 1