+ 636*d**2 + 888*d + 352 = 0 for d.
-44, -2, -2/3
Factor -2*q**5 - 654*q**4 - 72564*q**3 - 2868028*q**2 - 15318762*q - 22050774.
-2*(q + 3)**2*(q + 107)**3
Suppose -2*o**3 + 18606*o**2 - 57697206*o + 59639678602 = 0. Calculate o.
3101
Find a, given that -2*a**4/11 - 148*a**3/11 - 3650*a**2/11 - 30000*a/11 = 0.
-25, -24, 0
Factor 7*s**3 - 37*s**2 + 38*s - 8.
(s - 4)*(s - 1)*(7*s - 2)
Let -2*z**4/3 - 888*z**3 - 889772*z**2/3 - 590520*z - 884450/3 = 0. Calculate z.
-665, -1
Determine i so that -i**5/10 + 71*i**4/10 + 73*i**3/5 = 0.
-2, 0, 73
Find i, given that -24*i**4/5 - 58*i**3/5 + 87*i**2/5 + 142*i/5 + 21/5 = 0.
-3, -1, -1/6, 7/4
Factor c**5/5 + 2*c**4/5 - c**3/5 - 2*c**2/5.
c**2*(c - 1)*(c + 1)*(c + 2)/5
What is h in 2*h**4/15 - 38*h**3/15 + 18*h**2/5 + 46*h/3 + 136/15 = 0?
-1, 4, 17
Let -2*o**2 - 122*o/3 - 40/3 = 0. Calculate o.
-20, -1/3
Solve -q**5/6 - 32*q**4/3 - 889*q**3/6 + 2143*q**2/3 - 2822*q/3 + 1156/3 = 0 for q.
-34, 1, 2
Factor 4*r**3 - 92*r**2 - 196*r - 100.
4*(r - 25)*(r + 1)**2
Factor 2*y**4/7 + 12*y**3/7 - 54*y**2/7.
2*y**2*(y - 3)*(y + 9)/7
Solve 80*s**3 + 8040*s**2 + 197925*s - 206045 = 0 for s.
-203/4, 1
Find b such that b**4/3 + b**3/3 - 37*b**2/3 + 35*b/3 = 0.
-7, 0, 1, 5
Factor 3*u**3 - 12*u**2 + 9*u.
3*u*(u - 3)*(u - 1)
Find v, given that 30*v**4 - 88*v**3 + 54*v**2 + 4*v = 0.
-1/15, 0, 1, 2
Factor 46*t**2 + 3170*t/3 - 92/3.
2*(t + 23)*(69*t - 2)/3
Find p, given that 18*p**3/5 + 4*p**2 - 14*p/5 - 16/5 = 0.
-1, 8/9
Solve -3*c**4/5 - 27*c**3/5 + 21*c**2/5 + 207*c/5 + 162/5 = 0 for c.
-9, -2, -1, 3
Determine g so that -9*g**4 + 12*g**3 + 87*g**2 - 78*g - 144 = 0.
-8/3, -1, 2, 3
Solve 3*n**5 - 69*n**4/2 + 45*n**3 + 3*n**2/2 - 15*n = 0.
-1/2, 0, 1, 10
Factor -4*p**3 - 32*p**2 + 356*p + 1248.
-4*(p - 8)*(p + 3)*(p + 13)
Suppose 15*h**4/2 - 117*h**3/2 + 138*h**2 - 90*h - 24 = 0. What is h?
-1/5, 2, 4
Let -3*z**5 + 36*z**4 - 144*z**3 + 240*z**2 - 144*z = 0. Calculate z.
0, 2, 6
Solve p**2/5 - 7*p - 1416/5 = 0 for p.
-24, 59
Solve 20*s**5 + 92*s**4 + 80*s**3 - 128*s**2 - 128*s + 64 = 0 for s.
-2, 2/5, 1
Find w such that w**3 - 11*w**2 = 0.
0, 11
Factor -2*x**4/5 - 6*x**3/5 - 6*x**2/5 - 2*x/5.
-2*x*(x + 1)**3/5
Solve 5*b**3 - 80*b**2 + 145*b - 70 = 0.
1, 14
What is d in -2*d**5/3 - 2*d**4/9 + 2*d**3/3 + 2*d**2/9 = 0?
-1, -1/3, 0, 1
Solve 3*p**3 - 6*p**2 - 9*p = 0.
-1, 0, 3
Factor 3*k**2/7 - 204*k/7 + 1881/7.
3*(k - 57)*(k - 11)/7
Factor -2*c**4 + 192*c**3 - 742*c**2 + 552*c.
-2*c*(c - 92)*(c - 3)*(c - 1)
Let -21*b**4 + 300*b**3 + 651*b**2 - 1218*b + 288 = 0. What is b?
-3, 2/7, 1, 16
Factor -i**2/3 - 10174*i/3 - 25877569/3.
-(i + 5087)**2/3
Determine i, given that 3*i**2/5 + 123*i/5 + 186 = 0.
-31, -10
Factor 5*r**4 - 15*r**3 - 25*r**2 + 15*r + 20.
5*(r - 4)*(r - 1)*(r + 1)**2
Factor -m**5 + 6*m**4 - 6*m**3 - 16*m**2 + 15*m + 18.
-(m - 3)**2*(m - 2)*(m + 1)**2
What is w in 5*w**3 + 545*w**2 - 1105*w + 555 = 0?
-111, 1
Solve 69*c**2/2 - 3*c/2 = 0 for c.
0, 1/23
Solve 5*x**3 - 75*x**2 = 0.
0, 15
Find k such that -2*k**5 + 24*k**4 - 108*k**3 + 224*k**2 - 210*k + 72 = 0.
1, 3, 4
Suppose 15*b**3 + 10*b**2 - 60*b - 40 = 0. What is b?
-2, -2/3, 2
Factor -r**2 + 2*r + 3.
-(r - 3)*(r + 1)
Let 3*j**2/7 - 39*j/7 + 18 = 0. What is j?
6, 7
Factor x**2/7 - 4*x - 165/7.
(x - 33)*(x + 5)/7
Factor -4*x**2/5 + 284*x/5 + 952.
-4*(x - 85)*(x + 14)/5
Suppose -3*y**5 + 12*y**4 + 45*y**3 - 30*y**2 - 132*y - 72 = 0. What is y?
-2, -1, 2, 6
Factor -b**5 + 80*b**4 - 2112*b**3 + 20480*b**2 - 65536*b.
-b*(b - 32)**2*(b - 8)**2
Factor -6*h**2/5 + 3*h/5 + 18/5.
-3*(h - 2)*(2*h + 3)/5
Let -5*g**2 + 25*g - 30 = 0. What is g?
2, 3
Factor u**2/2 + 3*u + 5/2.
(u + 1)*(u + 5)/2
Solve -y**2/2 - 169*y + 339/2 = 0 for y.
-339, 1
Factor -6*s**3 + 26*s**2 - 4*s - 16.
-2*(s - 4)*(s - 1)*(3*s + 2)
Let -4*f**3 - 88*f**2 + 896*f - 1920 = 0. Calculate f.
-30, 4
Suppose 2*r**2/13 - 12*r = 0. Calculate r.
0, 78
Determine n, given that 4*n**3 - 16*n**2 - 36*n + 144 = 0.
-3, 3, 4
Find l, given that l**4 - 15*l**3 = 0.
0, 15
Factor -6*k**3 + 61*k**2 - 106*k + 16.
-(k - 8)*(k - 2)*(6*k - 1)
Solve -m**3/5 - 14*m**2/5 - 11*m - 42/5 = 0 for m.
-7, -6, -1
Factor -3*y**3/2 + 69*y**2/2 - 114*y.
-3*y*(y - 19)*(y - 4)/2
Find m such that -3*m**2 + 21*m + 180 = 0.
-5, 12
Suppose 4*f**4/7 + 11*f**3/7 - 19*f**2/7 + 4*f/7 = 0. Calculate f.
-4, 0, 1/4, 1
Factor -2*o**2/9 + 20*o/3 - 112/9.
-2*(o - 28)*(o - 2)/9
Factor -b**5/10 + 7*b**4/10 - 19*b**3/10 + 5*b**2/2 - 8*b/5 + 2/5.
-(b - 2)**2*(b - 1)**3/10
Factor 45*w**3 - 40*w**2 - 5*w.
5*w*(w - 1)*(9*w + 1)
Determine z, given that -2*z**5 + 4*z**4 + 52*z**3 - 162*z + 108 = 0.
-3, 1, 6
Let -v**3 + 4*v**2 + 9*v - 36 = 0. Calculate v.
-3, 3, 4
Factor -2*g**4 - 15264*g**3 - 29123712*g**2.
-2*g**2*(g + 3816)**2
Suppose 2*m**5 + 20*m**4 + 42*m**3 - 56*m**2 - 104*m + 96 = 0. What is m?
-6, -4, -2, 1
Factor -3*w**5 + 42*w**4 - 147*w**3.
-3*w**3*(w - 7)**2
Factor -3*i**3/4 + 507*i**2/4 - 22161*i/4 + 62001/4.
-3*(i - 83)**2*(i - 3)/4
Let 5*y**2 - 58*y - 24 = 0. Calculate y.
-2/5, 12
Solve -76*k**2 - 72*k + 4 = 0 for k.
-1, 1/19
Suppose -25*o**3 + 530*o**2 + 2395*o - 500 = 0. Calculate o.
-4, 1/5, 25
Let -6*l**3/11 + 10*l**2/11 + 12*l/11 - 16/11 = 0. Calculate l.
-4/3, 1, 2
Solve -2*n**2 - 104*n - 384 = 0.
-48, -4
Factor -h**2 - 22*h.
-h*(h + 22)
What is a in 3*a**3 - 75*a**2 - 84*a + 156 = 0?
-2, 1, 26
Factor 5*x**2 - 2550*x - 7695.
5*(x - 513)*(x + 3)
Factor -4*m**4/3 + 1760*m**3/3 - 3508*m**2/3 + 584*m.
-4*m*(m - 438)*(m - 1)**2/3
Suppose k**2/4 - 1765*k/2 + 3115225/4 = 0. Calculate k.
1765
Suppose -y**2/10 - 49*y/10 - 24/5 = 0. What is y?
-48, -1
Factor 45*d**5 + 110*d**4 + 40*d**3.
5*d**3*(d + 2)*(9*d + 4)
Factor 2040329596*g**3 + 22982436*g**2 + 86292*g + 108.
4*(799*g + 3)**3
Factor -z**4/6 + 9*z**3/2 - 65*z**2/2 + 169*z/6.
-z*(z - 13)**2*(z - 1)/6
Determine x so that -2*x**4 - 8*x**3 = 0.
-4, 0
Factor -z**3/2 + 2*z**2 + 41*z/2 + 18.
-(z - 9)*(z + 1)*(z + 4)/2
Let v**4/3 + 3*v**3 + v**2 - 89*v/3 - 28 = 0. What is v?
-7, -4, -1, 3
Factor 21*z**3/2 + 132*z**2 - 117*z/2.
3*z*(z + 13)*(7*z - 3)/2
Factor -10*d**3/7 + 134*d**2/7 - 472*d/7 + 24.
-2*(d - 7)*(d - 6)*(5*d - 2)/7
Factor -f**2/3 + 7*f - 30.
-(f - 15)*(f - 6)/3
Factor -2*j**3/9 + 110*j**2/9 - 316*j/9 + 208/9.
-2*(j - 52)*(j - 2)*(j - 1)/9
Factor -5*m**4/2 + 15*m**3 - 25*m**2/2 - 30*m.
-5*m*(m - 4)*(m - 3)*(m + 1)/2
Factor -10*k**4/9 + 172*k**3/9 - 34*k**2/9.
-2*k**2*(k - 17)*(5*k - 1)/9
Factor 5*z**5 - 95*z**4 + 530*z**3 - 350*z**2 - 2695*z - 1715.
5*(z - 7)**3*(z + 1)**2
Factor 5*t**2 - 115*t + 110.
5*(t - 22)*(t - 1)
Find z such that z**3 - z**2 - 8*z + 12 = 0.
-3, 2
Determine r, given that -35*r**3 + 80*r**2 - 55*r + 10 = 0.
2/7, 1
Let g**2 - 41*g - 510 = 0. What is g?
-10, 51
Factor -3*o**4 - 6*o**3 - 3*o**2.
-3*o**2*(o + 1)**2
Solve -2*i**2/15 - 716*i/5 - 192246/5 = 0 for i.
-537
Suppose 12*i**3 - 200*i**2 + 464*i - 224 = 0. Calculate i.
2/3, 2, 14
Factor -2*n**3 + 174*n**2 - 1590*n + 3850.
-2*(n - 77)*(n - 5)**2
Factor -5*q**3 + 5*q**2 + 20*q - 20.
-5*(q - 2)*(q - 1)*(q + 2)
Factor -4*q**3 + 12*q**2 + 36*q + 20.
-4*(q - 5)*(q + 1)**2
Factor 4*t**2 + 120*t + 224.
4*(t + 2)*(t + 28)
Factor -4*z**4 - 32*z**3 - 80*z**2 - 64*z.
-4*z*(z + 2)**2*(z + 4)
Let w**4/5 - 237*w**3/5 + 187*w**2 - 699*w/5 = 0. Calculate w.
0, 1, 3, 233
Solve 4*r**3/5 - 732*r**2/5 - 736*r/5 = 0.
-1, 0, 184
Factor s**5/4 - 7*s**4/4 - 17*s**3/4 - 9*s**2/4.
s**2*(s - 9)*(s + 1)**2/4
Find i such that -54*i**3 - 384*i**2 - 344*i + 96 = 0.
-6, -4/3, 2/9
Solve -h**4/2 + 3*h**3/2 + 7*h**2/2 - 15*h/2 - 9 = 0 for h.
-2, -1, 3
Let -196*t**4 + 3052*t**3 - 1696*t**2 + 240*t = 0. What is t?
0, 2/7, 15
Solve -6*y**4/11 - 10*y**3/11 + 94*y**2/11 + 186*y/11 - 72/11 = 0 for y.
-3, 1/3, 4
Let -25*h**2 + 83*h - 24 = 0. What is h?
8/25, 3
What is j in 15*j**3 - 155*j**2 + 425*j - 125 = 0?
1/3, 5
Let 2*b**4/21 - 44*b**3/21 + 314*b**2/21 - 264*b/7 + 216/7 = 0. What is b?
2, 9
What is v in 3*v**4/5 + 27*v**3/5 - 15*v**2 - 99*v/5 = 0?
-11, -1, 0, 3
Factor 15*n**2 + 365*n + 120.
5*(n + 24)*(3*n + 1)
Determine f, given that 2*f**2/3 - 62*f/3 - 64/3 = 0.
-1, 32
Factor -h**2/2 + 225*h/2.
-h*(h - 225)/2
Determine a so that 3*a**5/2 + 6*a**4 + 9*a**3/2 = 0.
-3, -1, 0
What is v in v**2/7 - 22*v/7 + 57/7 = 0?
3, 19
Factor 5*t**3/3 + t**2 - 5*t/3 - 1.
