Factor -2*u**3/7 + 68*u**2/7 - 754*u/7 + 2704/7.
-2*(u - 13)**2*(u - 8)/7
Factor -4*c**3/5 + 32*c**2/5 + 4*c/5 - 32/5.
-4*(c - 8)*(c - 1)*(c + 1)/5
Factor -3*d**2/4 - 51*d/4 + 150.
-3*(d - 8)*(d + 25)/4
What is a in -2*a**3 - 7*a**2 - 4*a + 4 = 0?
-2, 1/2
Factor -k**4 - 2*k**3 + 7*k**2 + 20*k + 12.
-(k - 3)*(k + 1)*(k + 2)**2
Let -3*x**2/5 + 2766*x/5 = 0. What is x?
0, 922
Solve -4*i**2/9 + 184*i/9 + 188/9 = 0.
-1, 47
Determine q so that -5*q**2 + 120*q - 720 = 0.
12
Factor 2*s**2/9 - 304*s/9 + 11552/9.
2*(s - 76)**2/9
Factor 5*j**3 - 440*j**2 + 11200*j - 64000.
5*(j - 40)**2*(j - 8)
Factor 5*s**4 - 1220*s**3 + 2425*s**2 - 1210*s.
5*s*(s - 242)*(s - 1)**2
Solve -f**2 + 78*f + 79 = 0.
-1, 79
Find u such that 2*u**4 + 42*u**3 + 240*u**2 + 200*u = 0.
-10, -1, 0
Factor -2*l**2/3 + 446*l/3 - 884/3.
-2*(l - 221)*(l - 2)/3
Factor 7814*i**2 - 7810*i - 4.
2*(i - 1)*(3907*i + 2)
Suppose 15123*v**3/2 + 12993*v**2/2 - 2055*v/2 + 75/2 = 0. Calculate v.
-1, 5/71
Suppose -n**3 - 159*n**2 - 152*n + 948 = 0. What is n?
-158, -3, 2
Determine t, given that 4*t**2 - 8*t - 572 = 0.
-11, 13
Determine t so that -2*t**2/5 + 8*t/5 + 64/5 = 0.
-4, 8
Factor x**4/2 + 19*x**3/2 + 56*x**2 + 96*x.
x*(x + 3)*(x + 8)**2/2
Factor -5*m**2 + 1510*m - 114005.
-5*(m - 151)**2
Factor -3*k**2/4 - 375*k/2 + 753/4.
-3*(k - 1)*(k + 251)/4
Factor -q**3/4 - 19*q**2/4 - 45*q/2.
-q*(q + 9)*(q + 10)/4
Factor -c**2 - 1850*c + 5559.
-(c - 3)*(c + 1853)
Find h such that 52488*h**3 - 471744*h**2 - 5830*h - 18 = 0.
-1/162, 9
Determine k, given that 2*k**4/11 + 30*k**3/11 + 8*k**2 = 0.
-11, -4, 0
Factor 2*r**3/9 + 16*r**2/9 + 14*r/3 + 4.
2*(r + 2)*(r + 3)**2/9
Solve l**2/6 + 53*l/6 - 9 = 0 for l.
-54, 1
Let 9*p**4 + 114*p**3 + 396*p**2 + 216*p = 0. What is p?
-6, -2/3, 0
Factor 6*z**2/5 - 456*z/5 - 462/5.
6*(z - 77)*(z + 1)/5
Factor 4*b**2 - 36*b + 72.
4*(b - 6)*(b - 3)
Let 3*d**3 + 9*d**2 - 72*d + 84 = 0. Calculate d.
-7, 2
Factor j**5/4 - 3*j**3/4 + j**2/2.
j**2*(j - 1)**2*(j + 2)/4
Find h such that 2*h**5/7 - 78*h**4/7 + 148*h**3/7 = 0.
0, 2, 37
Factor 3*t**4/2 + 15*t**3 + 12*t**2 - 15*t - 27/2.
3*(t - 1)*(t + 1)**2*(t + 9)/2
Let -2*k**5 + 52*k**4 + 54*k**3 = 0. What is k?
-1, 0, 27
Factor 722*b**5 - 2736*b**4 + 2288*b**3 + 576*b**2 + 32*b.
2*b*(b - 2)**2*(19*b + 2)**2
Let -14*k**3/5 - 66*k**2/5 - 36*k/5 + 16/5 = 0. Calculate k.
-4, -1, 2/7
Find h such that 2*h**3/3 + 212*h**2/3 + 5618*h/3 = 0.
-53, 0
Suppose -4*i**2 + 1668*i - 6608 = 0. Calculate i.
4, 413
Factor 2*u**3/3 - 11*u**2/3 - 12*u + 15.
(u - 1)*(u + 3)*(2*u - 15)/3
Determine p so that 3*p**3 - 9063*p**2 + 6849360*p - 6840300 = 0.
1, 1510
Factor 3*y**3/7 + 15*y**2/7 - 24*y - 180/7.
3*(y - 6)*(y + 1)*(y + 10)/7
Suppose -2*g**2 - 56*g + 58 = 0. What is g?
-29, 1
Determine a, given that -34*a**5/7 - 124*a**4/7 - 122*a**3/7 - 8*a**2/7 + 24*a/7 = 0.
-2, -1, 0, 6/17
Factor -i**2 - 272*i - 1855.
-(i + 7)*(i + 265)
Factor z**4/7 - z**3/7.
z**3*(z - 1)/7
Suppose f**5 - 18*f**4 - 4*f**3 + 72*f**2 = 0. What is f?
-2, 0, 2, 18
Factor 35*q**5 - 25*q**4 - 325*q**3 - 475*q**2 - 250*q - 40.
5*(q - 4)*(q + 1)**3*(7*q + 2)
Let 2*q**5/9 + 736*q**4/9 + 244*q**3 + 2192*q**2/9 + 730*q/9 = 0. What is q?
-365, -1, 0
Factor -s**2/5 + 6*s/5 - 1.
-(s - 5)*(s - 1)/5
Factor -v**5/3 - 8*v**4 - 176*v**3/3 - 186*v**2 - 261*v - 126.
-(v + 1)*(v + 3)**3*(v + 14)/3
Factor -3*g**5 + 24*g**4 - 72*g**3 + 96*g**2 - 48*g.
-3*g*(g - 2)**4
Determine b, given that -b**3 + 7*b**2 - 6*b = 0.
0, 1, 6
Solve -3*u**2/5 - 1002*u - 10008/5 = 0 for u.
-1668, -2
Suppose -t**2/2 - 15*t - 52 = 0. Calculate t.
-26, -4
Solve 2*u**4 + 75*u**3 + 100*u**2 - 285*u + 108 = 0.
-36, -3, 1/2, 1
What is r in -3*r**5 + 165*r**4 - 1263*r**3 + 939*r**2 + 1266*r - 1104 = 0?
-1, 1, 8, 46
Suppose -3*j**4 - 17*j**3 - 91*j**2/3 - 49*j/3 = 0. What is j?
-7/3, -1, 0
What is f in 2*f**3 - 298*f**2 + 1428*f + 1728 = 0?
-1, 6, 144
Find u such that -u**2/4 + 7*u/4 + 15 = 0.
-5, 12
Suppose 2*t**2 - 1536*t - 1538 = 0. Calculate t.
-1, 769
Factor 2*p**2 + 462*p + 916.
2*(p + 2)*(p + 229)
Factor 2*u**2/9 + 410*u/9 - 412/9.
2*(u - 1)*(u + 206)/9
Factor -s**4 - s**3 + 7*s**2 + 13*s + 6.
-(s - 3)*(s + 1)**2*(s + 2)
Factor -2*u**3/17 - 22*u**2 - 17670*u/17 - 17298/17.
-2*(u + 1)*(u + 93)**2/17
Suppose 4*k**2 - 88*k + 480 = 0. Calculate k.
10, 12
Find p, given that -4*p**3 - 72*p**2 - 68*p = 0.
-17, -1, 0
Factor 4*j**3 + 644*j**2 - 5344*j + 10816.
4*(j - 4)**2*(j + 169)
Solve -4*w**5 + 52*w**4/5 + 244*w**3/5 + 28*w**2/5 - 224*w/5 - 16 = 0 for w.
-2, -1, -2/5, 1, 5
Solve 4*q**3 + 20*q**2 - 88*q - 224 = 0 for q.
-7, -2, 4
Solve -28*q**5/3 + 12*q**4 + 188*q**3/3 - 28*q**2 - 160*q/3 + 16 = 0 for q.
-2, -1, 2/7, 1, 3
Solve -27*n**5 - 1353*n**4/4 - 5283*n**3/4 - 5373*n**2/4 + 3495*n/4 - 225/2 = 0.
-5, -3, 2/9, 1/4
Factor 3*h**3 - 6*h**2 - 285*h - 900.
3*(h - 12)*(h + 5)**2
Factor 5*q**2/4 - 275*q/2 + 1605/4.
5*(q - 107)*(q - 3)/4
Let -4*q**3 + 40*q**2 + 44*q = 0. What is q?
-1, 0, 11
Find v, given that -3*v**5 + 15*v**4 + 33*v**3 - 99*v**2 + 54*v = 0.
-3, 0, 1, 6
Factor -x**2/6 + 61*x/3 - 121/6.
-(x - 121)*(x - 1)/6
Factor 14*l**3 + 201*l**2/2 - 90*l + 16.
(l + 8)*(4*l - 1)*(7*l - 4)/2
Factor 6*f**3 - 146*f**2 + 44*f + 96.
2*(f - 24)*(f - 1)*(3*f + 2)
Factor a**4/6 + 21*a**3/2 + 243*a**2/2 - 6561*a/2 - 59049.
(a - 18)*(a + 27)**3/6
Factor -3*g**4 + 219*g**3 - 2928*g**2 + 10944*g.
-3*g*(g - 57)*(g - 8)**2
Find n, given that -676*n**4 + 59956*n**3 + 18496*n**2 + 1424*n = 0.
-2/13, 0, 89
Factor 2*a**2 + 186*a/5 - 76/5.
2*(a + 19)*(5*a - 2)/5
Factor 5*p**2/6 + 160*p/3 + 105/2.
5*(p + 1)*(p + 63)/6
Let 8*g**5 + 2*g**4 - 6*g**3 = 0. Calculate g.
-1, 0, 3/4
Let 4*q**2 + 864*q = 0. What is q?
-216, 0
Suppose -u**4 - 25*u**3 + 54*u**2 = 0. What is u?
-27, 0, 2
Find b such that b**5/7 + 8*b**4/7 + 19*b**3/7 + 12*b**2/7 = 0.
-4, -3, -1, 0
Factor 3*d**5/7 - 24*d**4 + 2178*d**3/7 + 696*d**2 + 2523*d/7.
3*d*(d - 29)**2*(d + 1)**2/7
Factor -243*p**3/2 - 20844*p**2 + 9282*p - 1032.
-3*(p + 172)*(9*p - 2)**2/2
Find i, given that i**3/7 - 9*i**2/7 + 27*i/7 - 27/7 = 0.
3
Find i such that 10*i**5/11 - 8*i**4/11 - 12*i**3/11 + 8*i**2/11 + 2*i/11 = 0.
-1, -1/5, 0, 1
Factor -2*s**2/5 + 102*s/5.
-2*s*(s - 51)/5
Factor h**2/3 - 5*h.
h*(h - 15)/3
Suppose -2*s**2/7 + 220*s/7 - 6050/7 = 0. Calculate s.
55
Factor -2*s**2/5 + 18*s.
-2*s*(s - 45)/5
Factor 108*j**2 + 856*j - 64.
4*(j + 8)*(27*j - 2)
Factor o**3/6 + 7*o**2/6 - 3*o.
o*(o - 2)*(o + 9)/6
Suppose 48*h**5 + 2*h**4 - 434*h**3/3 + 292*h**2/3 + 40*h/3 - 16 = 0. What is h?
-2, -3/8, 2/3, 1
Find m, given that m**4 - 678*m**3 + 114920*m**2 + 678*m - 114921 = 0.
-1, 1, 339
Find h, given that -2*h**3 - 104*h**2 - 102*h = 0.
-51, -1, 0
Solve 2*z**4/3 + 94*z**3/15 - 20*z**2/3 - 376*z/15 + 16 = 0 for z.
-10, -2, 3/5, 2
Find l such that -4*l**4 - 4*l**3 + 36*l**2 - 44*l + 16 = 0.
-4, 1
Let d**2/8 + 93*d/8 + 23/2 = 0. What is d?
-92, -1
Determine b so that 2*b**5/3 + 20*b**4 + 200*b**3 + 2000*b**2/3 = 0.
-10, 0
Factor -n**3/2 - n**2 + 13*n/2 - 5.
-(n - 2)*(n - 1)*(n + 5)/2
Factor 18*h**2/5 - 212*h/5 - 48/5.
2*(h - 12)*(9*h + 2)/5
Suppose -4*r**5 - 4*r**4 + 8*r**3 + 8*r**2 - 4*r - 4 = 0. Calculate r.
-1, 1
Factor 4*i**2 - 360*i + 2324.
4*(i - 83)*(i - 7)
Find m such that 2*m**5 - 122*m**4 + 2492*m**3 - 18380*m**2 + 29762*m - 13754 = 0.
1, 13, 23
Determine h, given that h**4/4 - 11*h**3/4 - 19*h**2 + 44*h + 240 = 0.
-4, 4, 15
Find d such that -2*d**3 - d**2 = 0.
-1/2, 0
Suppose -3*f**4 - 18*f**3 - 39*f**2 - 36*f - 12 = 0. Calculate f.
-2, -1
Suppose -z**2/4 + 26*z - 676 = 0. Calculate z.
52
Factor -14*p**2 - 180*p + 26.
-2*(p + 13)*(7*p - 1)
What is v in -5*v**4 - 35*v**3 - 55*v**2 - 25*v = 0?
-5, -1, 0
Find a, given that -3*a**5/4 + 6*a**3 - 12*a = 0.
-2, 0, 2
Let -5*p**3 + 225*p**2 - 220*p = 0. Calculate p.
0, 1, 44
Factor 3*g**2/5 - 54*g - 285.
3*(g - 95)*(g + 5)/5
Solve 2*q**2 - 496*q + 30752 = 0.
124
Factor -2*o**3 + 22*o**2 + 114*o + 90.
-2*(o - 15)*(o + 1)*(o + 3)
Solve 3*v**5 - 18*v**4 + 27*v**3 = 0 for v.
0, 3
Let p**4/2 - 2843*p**3/4 + 1012461*p**2/4 - 378430*p + 126025 = 0. What is p?
1/2, 1, 710
Suppose -2*p**2/7 - 1480*p/7 + 4458/7 = 0. What is p?
-743, 3
Factor 2*q**3 - 2*q**2 - 34*q - 30.
2*(q - 5)*(q + 1)*(q + 3)
Factor 4*a**5 - 244*a**4 - 756*a**3 - 764*a**2 - 256*a.
4*a*(a - 64)*(a + 1)**3