**3 - 36*j**2.
3*j**2*(j - 1)*(j + 2)*(j + 6)
Find o such that -o**3 + o**2 + 64*o - 64 = 0.
-8, 1, 8
Determine a so that -9*a**3/2 + 6*a**2 - 3*a/2 = 0.
0, 1/3, 1
Solve 16*d**3/3 + 236*d**2/3 + 740*d/3 - 200/3 = 0 for d.
-10, -5, 1/4
Let 5*y**4/2 - 5*y**3/2 - 5*y**2 = 0. What is y?
-1, 0, 2
Let 3*u**2/5 + 204*u + 17340 = 0. Calculate u.
-170
Determine o so that -168*o**2 + 674*o - 8 = 0.
1/84, 4
Determine d so that -d**2 + 6*d - 8 = 0.
2, 4
Factor -2*i**2/5 + 86*i/5 + 276/5.
-2*(i - 46)*(i + 3)/5
Factor -4*r**4 + 28*r**2 + 24*r.
-4*r*(r - 3)*(r + 1)*(r + 2)
Factor 4*o**2 - 144.
4*(o - 6)*(o + 6)
Solve -2*p**5/3 - 4*p**4/3 + 16*p**3/3 = 0.
-4, 0, 2
Determine m, given that -m**5/9 - 2*m**4/9 + 7*m**3/9 + 20*m**2/9 + 4*m/3 = 0.
-2, -1, 0, 3
What is v in -12*v**5 + 93*v**4 - 132*v**3 + 33*v**2 + 18*v = 0?
-1/4, 0, 1, 6
Solve k**3/5 - 128*k**2/5 + 241*k - 590 = 0 for k.
5, 118
What is p in -4*p**5 + 992*p**4 + 2000*p**3 + 8*p**2 - 1996*p - 1000 = 0?
-1, 1, 250
Factor -t**4/5 - 908*t**3/5 - 2718*t**2/5 - 2716*t/5 - 181.
-(t + 1)**3*(t + 905)/5
Factor -2*u**5 + 8*u**3 - 4*u**2 - 6*u + 4.
-2*(u - 1)**3*(u + 1)*(u + 2)
Suppose -4*o**3/7 - 32*o**2/7 - 64*o/7 = 0. What is o?
-4, 0
Factor h**2/6 - 341*h/6 + 170/3.
(h - 340)*(h - 1)/6
Factor -3*i**5/2 - 3*i**4 + 9*i**3/2 + 6*i**2 - 6*i.
-3*i*(i - 1)**2*(i + 2)**2/2
Factor 2*g**5/7 + 4*g**4/7 + 2*g**3/7.
2*g**3*(g + 1)**2/7
Let 2*m**3/3 + 10*m**2/3 - 56*m/3 - 64/3 = 0. Calculate m.
-8, -1, 4
Find z such that 4*z**4 - 16*z**3 - 156*z**2 + 184*z + 320 = 0.
-5, -1, 2, 8
Suppose 2*i**4/13 + 62*i**3/13 + 60*i**2/13 = 0. Calculate i.
-30, -1, 0
What is t in 4*t**2 + 2024*t + 256036 = 0?
-253
Factor -h**3 - 23*h**2 - 22*h.
-h*(h + 1)*(h + 22)
Factor 2*d**3/5 - 246*d**2/5 + 1584*d - 4320.
2*(d - 60)**2*(d - 3)/5
Solve -3*z**5/2 - 15*z**4/2 + 9*z**3/2 + 39*z**2/2 - 15*z = 0.
-5, -2, 0, 1
Factor -95*u**3 + 5120*u**2 - 68715*u - 7290.
-5*(u - 27)**2*(19*u + 2)
Determine n, given that -3*n**2/2 - 45*n + 93/2 = 0.
-31, 1
Factor 3*u**4 + 2592*u**3 + 839808*u**2 + 120932352*u + 6530347008.
3*(u + 216)**4
Suppose -v**2/5 + 131*v/5 + 822/5 = 0. What is v?
-6, 137
Find n, given that 20*n**5 - 32*n**4 + 4*n**3 + 8*n**2 = 0.
-2/5, 0, 1
Factor 2*u**2/7 + 3788*u/7 + 1793618/7.
2*(u + 947)**2/7
Factor -5*m**2/4 + 795*m/2 - 126405/4.
-5*(m - 159)**2/4
Solve -3*i**2 + 40800*i - 138720000 = 0 for i.
6800
Let 4*b**5 - 44*b**4 - 480*b**3 + 7936*b**2 - 26624*b = 0. Calculate b.
-13, 0, 8
Factor -218*s**2/7 + 6*s/7.
-2*s*(109*s - 3)/7
Factor -s**2 + 150*s - 5625.
-(s - 75)**2
Let 2*b**4 - 4*b**2 + 2 = 0. What is b?
-1, 1
Factor h**4/3 - 148*h**3/3 + 5326*h**2/3 + 3700*h + 1875.
(h - 75)**2*(h + 1)**2/3
Factor -n**4/3 - 7*n**3 + 46*n**2/3.
-n**2*(n - 2)*(n + 23)/3
What is s in s**2/6 - 13*s + 507/2 = 0?
39
What is n in 6*n**5 + 37*n**4 + 6*n**3 - 132*n**2 + 68*n + 15 = 0?
-5, -3, -1/6, 1
Factor -432964*x**3/3 + 2632*x**2/3 - 4*x/3.
-4*x*(329*x - 1)**2/3
Factor 9*u**4 - 564*u**3 + 369*u**2 + 186*u.
3*u*(u - 62)*(u - 1)*(3*u + 1)
Factor -3*o**5/2 + 39*o**4/2 + 27*o**3/2 - 1215*o**2/2.
-3*o**2*(o - 9)**2*(o + 5)/2
Factor 5*z**2 + 165*z - 170.
5*(z - 1)*(z + 34)
Suppose 4*j**2/7 - 24776*j/7 + 38365636/7 = 0. What is j?
3097
What is z in 35*z**2 - 2685*z - 770 = 0?
-2/7, 77
Factor -i**4/2 - 33*i**3/2 + 187*i**2/2 - 123*i/2 - 171.
-(i - 3)**2*(i + 1)*(i + 38)/2
Find g, given that g**4 + 14*g**3 - 39*g**2 - 116*g - 64 = 0.
-16, -1, 4
What is h in -2*h**3 + 20*h**2 - 46*h + 28 = 0?
1, 2, 7
Suppose 2*s**3/3 + 182*s**2/3 + 5254*s/3 + 46546/3 = 0. What is s?
-37, -17
Factor 4*t**4 + 32*t**3 + 68*t**2 + 40*t.
4*t*(t + 1)*(t + 2)*(t + 5)
Solve 3*n**3/2 + 10*n**2/3 - 311*n/6 - 35/3 = 0 for n.
-7, -2/9, 5
Factor 6*z**3 + 84*z**2/5 - 426*z/5 - 96.
6*(z + 1)*(z + 5)*(5*z - 16)/5
Let 36*v**2 + 524*v - 240 = 0. Calculate v.
-15, 4/9
Factor 3*t**2/7 - 75*t/7 + 72/7.
3*(t - 24)*(t - 1)/7
Let -4*m**2/7 + 192*m/7 - 188/7 = 0. Calculate m.
1, 47
Solve 2*w**3 - 72*w**2 + 768*w - 2560 = 0.
8, 20
Find l such that 2*l**4/5 - 4*l**3 + 42*l**2/5 = 0.
0, 3, 7
Determine d so that -8*d**5 - 108*d**4 - 508*d**3 - 1020*d**2 - 828*d - 216 = 0.
-6, -3, -1, -1/2
Determine w so that 5*w**3 + 70*w**2 + 80*w - 480 = 0.
-12, -4, 2
Factor 2*r**3 + 48*r**2 - 216*r + 224.
2*(r - 2)**2*(r + 28)
Find w such that w**3/7 - 12*w**2/7 + 11*w/7 = 0.
0, 1, 11
Find s such that s**5/4 - 3*s**4/2 + 11*s**3/4 - s**2/2 - 3*s + 2 = 0.
-1, 1, 2
Factor -j**2/4 + j.
-j*(j - 4)/4
Determine j, given that 15*j**5 - 198*j**4/7 - 36*j**3/7 + 24*j**2/7 = 0.
-2/5, 0, 2/7, 2
Factor -l**3/2 - 14*l**2 - 103*l/2 + 462.
-(l - 4)*(l + 11)*(l + 21)/2
Determine g so that 2*g**3 - 50*g**2 + 94*g - 46 = 0.
1, 23
Determine r, given that r**4/2 - 187*r**3 + 23250*r**2 - 953125*r - 1953125/2 = 0.
-1, 125
Find c such that -3*c**5/7 + 3*c**4/7 + 12*c**3 - 228*c**2/7 + 144*c/7 = 0.
-6, 0, 1, 2, 4
Factor y**2/3 - 142*y/3 + 139.
(y - 139)*(y - 3)/3
Suppose d**5/10 + 123*d**4/10 + 3841*d**3/10 + 3477*d**2/10 - 3721*d/5 = 0. Calculate d.
-61, -2, 0, 1
Let -64*l**5/9 - 256*l**4/9 + 3532*l**3/9 + 1810*l**2/9 + 76*l/3 = 0. What is l?
-19/2, -1/4, 0, 6
Find k, given that -k**5/4 + k**4/4 + k**3/2 = 0.
-1, 0, 2
Solve -4*k**2 - 136*k - 372 = 0 for k.
-31, -3
Determine x so that 3*x**4 + 9*x**3 + 6*x**2 = 0.
-2, -1, 0
Suppose 5*k**3/2 + 1280*k**2 - 5*k/2 - 1280 = 0. Calculate k.
-512, -1, 1
Find c such that 8*c**4 + 780*c**3 + 2660*c**2 + 2640*c + 752 = 0.
-94, -2, -1, -1/2
Suppose 2*z**2/3 - 40*z + 742/3 = 0. Calculate z.
7, 53
Factor 4*d**3 - 524*d**2 + 6748*d - 22932.
4*(d - 117)*(d - 7)**2
Suppose -v**3/2 - 96*v**2 - 4608*v = 0. Calculate v.
-96, 0
Factor 4*f**2 - 1165*f + 291.
(f - 291)*(4*f - 1)
Suppose -5*m**5 - 20*m**4 + 190*m**3 + 400*m**2 - 1265*m + 700 = 0. What is m?
-7, -4, 1, 5
Factor v**3 + 9*v**2 + 8*v.
v*(v + 1)*(v + 8)
Factor -4*s**3/5 - 20*s**2 - 188*s/5 - 92/5.
-4*(s + 1)**2*(s + 23)/5
Find f such that 2*f**3/9 - 2*f/9 = 0.
-1, 0, 1
Suppose -2*f**3/5 - 2*f**2/5 + 2*f/5 + 2/5 = 0. Calculate f.
-1, 1
Solve a**2/3 + 13*a/3 + 12 = 0 for a.
-9, -4
Suppose -s**5 - 23*s**4/2 - 35*s**3 + 5*s**2/2 + 81*s - 36 = 0. What is s?
-6, -4, -3, 1/2, 1
Suppose 3*i**4/5 + 48*i**3/5 - 162*i**2/5 + 168*i/5 - 57/5 = 0. What is i?
-19, 1
Factor -b**2/2 - 25*b/2 - 12.
-(b + 1)*(b + 24)/2
Factor -5*i**2 - 1570*i - 1565.
-5*(i + 1)*(i + 313)
Factor -3*v**3 + 294*v**2 + 1527*v + 1854.
-3*(v - 103)*(v + 2)*(v + 3)
Factor a**5 - 16*a**4 + 7*a**3 + 132*a**2 - 180*a.
a*(a - 15)*(a - 2)**2*(a + 3)
Solve -2*k**4/5 - 2*k**3/5 + 28*k**2/5 + 48*k/5 = 0.
-3, -2, 0, 4
What is f in -2*f**2 + 50 = 0?
-5, 5
Solve h**4/2 - 12*h**3 + 72*h**2 = 0.
0, 12
Factor 49*n**4/3 + 154*n**3/3 - 277*n**2 - 1496*n/3 + 4624/3.
(n + 4)**2*(7*n - 17)**2/3
Factor 35*i**3 - 95*i**2 - 660*i - 180.
5*(i - 6)*(i + 3)*(7*i + 2)
Factor c**3 - 52*c**2 - 108*c.
c*(c - 54)*(c + 2)
Find k such that -2*k**2/3 - 124*k/3 + 650 = 0.
-75, 13
Factor 7*a**2/6 + 46*a/3 + 13/6.
(a + 13)*(7*a + 1)/6
Find y, given that y**4/4 - 17*y**3 - 283*y**2/4 - 179*y/2 - 36 = 0.
-2, -1, 72
Factor -2*n**2/13 + 34*n/13 - 84/13.
-2*(n - 14)*(n - 3)/13
What is r in -58*r**2/5 - 178*r/5 - 12/5 = 0?
-3, -2/29
Find l such that 4*l**4/13 + 2*l**3/13 - 16*l**2/13 - 8*l/13 = 0.
-2, -1/2, 0, 2
Factor -2*a**3/5 - 10*a**2 - 406*a/5 - 1078/5.
-2*(a + 7)**2*(a + 11)/5
Factor 2*k**2/5 + 20*k - 208/5.
2*(k - 2)*(k + 52)/5
Determine a so that -4050*a**3 - 4770*a**2 - 752*a - 32 = 0.
-1, -4/45
Determine t, given that 2*t**3 - 126*t**2 + 2550*t - 16250 = 0.
13, 25
Factor s**4 - 4*s**3 - 13*s**2 + 28*s + 60.
(s - 5)*(s - 3)*(s + 2)**2
Factor 4*u**2 + 8*u.
4*u*(u + 2)
Suppose 3*n**2/8 - 165*n/8 + 159/4 = 0. What is n?
2, 53
Factor 2*r**3/23 + 26*r**2/23 - 2*r/23 - 26/23.
2*(r - 1)*(r + 1)*(r + 13)/23
Factor -3*w**3 + 42*w**2 - 99*w.
-3*w*(w - 11)*(w - 3)
Let 5*n**3 - 1900*n**2 + 1895*n = 0. What is n?
0, 1, 379
Factor 3*t**3/4 - 3*t**2/4 - 3*t/4 + 3/4.
3*(t - 1)**2*(t + 1)/4
Determine x, given that -3*x**5 + 48*x**4 - 84*x**3 - 6*x**2 + 87*x - 42 = 0.
-1, 1, 14
Find m such that 2*m**4 + 6*m**3 - 14*m**2 - 54*m - 36 = 0.
-3, -2, -1, 3
Factor -2*g**2/9 + 406*g/3 + 1220/9.
-2*(g - 610)*(g + 1)/9
What is w in w**5/5 - 1027*w**4/5 + 262138*w**3/5 + 792586*w**2/5 + 158929*w + 53045 = 0?
-1, 515
Find q such that 1965*q**2 + 