+ 15375*f + 5043.
3*(f + 1)**3*(f + 41)**2
Determine h so that -h**4/6 - 12*h**3 - 683*h**2/3 - 420*h - 1225/6 = 0.
-35, -1
Determine g, given that 5*g**3/3 - 505*g**2 - 1550*g/3 + 3040 = 0.
-3, 2, 304
Factor 4*y**3 + 4172*y**2 + 1089932*y + 1085764.
4*(y + 1)*(y + 521)**2
Let -x**5 + 3*x**4 + 69*x**3 - 143*x**2 + 72*x = 0. Calculate x.
-8, 0, 1, 9
Find h, given that h**3/4 - 113*h**2/4 + 136*h - 108 = 0.
1, 4, 108
Let 3*g**5 + 3*g**4 - 9*g**3 - 3*g**2 + 6*g = 0. What is g?
-2, -1, 0, 1
Solve 50*h**3 + 90*h**2 + 54*h + 54/5 = 0 for h.
-3/5
Find b such that b**4/3 - 4*b**3 - 31*b**2/3 + 14*b = 0.
-3, 0, 1, 14
Find v such that v**5/7 - v**4 - 9*v**3/7 + v**2 + 8*v/7 = 0.
-1, 0, 1, 8
Let 4*t**5 + 8*t**4 - 4*t**3 - 8*t**2 = 0. Calculate t.
-2, -1, 0, 1
Solve -2*j**2/3 + 8636*j - 27967686 = 0.
6477
Find c such that 5*c**4 + 1700*c**3 + 146185*c**2 + 285610*c = 0.
-169, -2, 0
What is n in 5*n**4 - 85*n**3 - 765*n**2 + 1765*n - 920 = 0?
-8, 1, 23
What is l in 27*l**2 - 84*l = 0?
0, 28/9
Solve -f**5/7 + 18*f**4/7 + 40*f**3/7 = 0.
-2, 0, 20
Let -2*r**2/3 + 784*r/3 - 76832/3 = 0. Calculate r.
196
Solve -5*r**3 + 5*r**2 + 600*r - 2160 = 0.
-12, 4, 9
Determine d so that -7*d**5 + 19*d**4 - 8*d**3 - 4*d**2 = 0.
-2/7, 0, 1, 2
Find u, given that 4*u**4 + 4176*u**3 + 1098256*u**2 + 4343040*u + 4326400 = 0.
-520, -2
Determine f so that 5*f**5 + 560*f**4 + 15680*f**3 = 0.
-56, 0
What is l in 3*l**3 - 90*l**2 - 189*l - 96 = 0?
-1, 32
Factor -20*n**2 + 3645*n - 910.
-5*(n - 182)*(4*n - 1)
Find o, given that 78*o**2/5 - 40*o + 42/5 = 0.
3/13, 7/3
Find w such that -2*w**4 - 22*w**3 - 16*w**2 + 40*w = 0.
-10, -2, 0, 1
Let -8*q**4 - 20*q**3 + 20*q + 8 = 0. What is q?
-2, -1, -1/2, 1
Factor -3*i**3/4 - 81*i**2/4 + 3*i/4 + 81/4.
-3*(i - 1)*(i + 1)*(i + 27)/4
What is x in -x**3/5 - 12*x**2/5 - 9*x - 10 = 0?
-5, -2
Factor k**2 + 2113*k + 4222.
(k + 2)*(k + 2111)
Solve -5*u**4/3 + 19*u**3/3 - 9*u**2 + 17*u/3 - 4/3 = 0.
4/5, 1
Factor -3*z**3/4 + 3*z**2/2 + 15*z/4 - 9/2.
-3*(z - 3)*(z - 1)*(z + 2)/4
Factor -y**2/4 + 11*y/2 + 23/4.
-(y - 23)*(y + 1)/4
Factor -9*v**4 - 2*v**3 + 9*v**2 + 2*v.
-v*(v - 1)*(v + 1)*(9*v + 2)
Determine j, given that 4*j**2 - 84*j + 216 = 0.
3, 18
Factor -i**3/9 + 101*i**2/9 + 4*i/9 - 404/9.
-(i - 101)*(i - 2)*(i + 2)/9
Suppose 3*r**2 + 36*r + 60 = 0. Calculate r.
-10, -2
Factor -2*d**3/9 + 872*d**2/9 - 1738*d/9 + 868/9.
-2*(d - 434)*(d - 1)**2/9
Factor 5*h**3 - 870*h**2 - 885*h + 1750.
5*(h - 175)*(h - 1)*(h + 2)
Solve -h**3 + 21*h**2/4 + 23*h/2 + 21/4 = 0.
-1, -3/4, 7
Factor o**3/5 - 3*o**2/10 - 4*o/5 - 3/10.
(o - 3)*(o + 1)*(2*o + 1)/10
What is h in 32*h**4/11 - 48*h**3/11 - 46*h**2/11 + 30*h/11 - 4/11 = 0?
-1, 1/4, 2
Suppose -15*k**3 - 40*k**2 + 15*k + 40 = 0. What is k?
-8/3, -1, 1
Factor y**2/3 + 9*y + 50/3.
(y + 2)*(y + 25)/3
Determine f, given that 3*f**2 - 21*f = 0.
0, 7
Find l, given that 3*l**3 + 513*l**2 - 5355*l + 13575 = 0.
-181, 5
Factor -4*v**5 + 40*v**4 + 92*v**3 + 48*v**2.
-4*v**2*(v - 12)*(v + 1)**2
Find t such that 2*t**3/3 - 38*t**2 + 480*t + 1800 = 0.
-3, 30
Suppose 5*f**2 - 10*f - 315 = 0. What is f?
-7, 9
Determine o, given that -2*o**2/15 - 158*o/15 + 32/3 = 0.
-80, 1
Find d, given that -155*d**3 - 165*d**2 + 300*d + 20 = 0.
-2, -2/31, 1
Solve 7*i**5/5 - 44*i**4/5 - 44*i**3/5 + 58*i**2/5 + 37*i/5 - 14/5 = 0 for i.
-1, 2/7, 1, 7
Factor 3*m**3/2 + 249*m**2/2 + 6873*m/2 + 63075/2.
3*(m + 25)*(m + 29)**2/2
Suppose -3*u**3 + 339*u**2 - 9744*u + 9408 = 0. Calculate u.
1, 56
Factor 3*x**4/5 + 24*x**3/5 - 42*x**2/5 - 144*x/5 - 81/5.
3*(x - 3)*(x + 1)**2*(x + 9)/5
Factor -3*h**4 + 111*h**3 - 1080*h**2 + 972*h.
-3*h*(h - 18)**2*(h - 1)
Factor 4*k**4 - 384*k**3 - 3848*k**2 + 627072*k + 10666756.
4*(k - 71)**2*(k + 23)**2
Determine u, given that 5*u**2 + 410*u - 415 = 0.
-83, 1
Find s, given that 2*s**5 + 10*s**4 - 4*s**3 - 20*s**2 + 2*s + 10 = 0.
-5, -1, 1
Solve -3*u**4 - 21*u**3 + 27*u**2 + 21*u - 24 = 0 for u.
-8, -1, 1
Factor v**4/4 - 9*v**3/4 + 25*v**2/4 - 27*v/4 + 5/2.
(v - 5)*(v - 2)*(v - 1)**2/4
Factor -3*c**2 + 1668*c - 231852.
-3*(c - 278)**2
Solve -4*v**2 + 224*v = 0 for v.
0, 56
Factor -3*q**2/4 - 21*q/2 - 18.
-3*(q + 2)*(q + 12)/4
Factor -w**3/2 - 31*w**2/2 - 132*w - 342.
-(w + 6)**2*(w + 19)/2
Factor 2*t**3/3 - 4*t**2/3 + 2*t/3.
2*t*(t - 1)**2/3
Factor 3*v**4 + 30*v**3 + 81*v**2 + 54*v.
3*v*(v + 1)*(v + 3)*(v + 6)
Suppose 2*p**5/3 - 10*p**4 + 148*p**3/3 - 88*p**2 + 48*p = 0. What is p?
0, 1, 2, 6
Find y, given that -20*y**5 - 80*y**4 - 65*y**3 + 55*y**2 + 40*y - 20 = 0.
-2, -1, 1/2
Suppose 2*z**3 - 1734*z**2 + 501126*z - 48275138 = 0. What is z?
289
What is p in 5*p**4 + 115*p**3 - 145*p**2 - 615*p - 360 = 0?
-24, -1, 3
Suppose 21*s**4 - 54*s**3 + 15*s**2 + 18*s = 0. What is s?
-3/7, 0, 1, 2
Factor 3*o**2 + 243*o - 3348.
3*(o - 12)*(o + 93)
Solve -3*f**3 - 195*f**2 - 1413*f - 2565 = 0.
-57, -5, -3
Factor 5*q**4 + 9580*q**3 + 4579230*q**2 - 9187220*q + 4598405.
5*(q - 1)**2*(q + 959)**2
Suppose -b**5/3 - 2*b**4/3 + 20*b**3/3 + 10*b**2 - 33*b - 36 = 0. What is b?
-4, -3, -1, 3
Determine r so that -2*r**5 - 38*r**4 - 102*r**3 + 902*r**2 + 968*r = 0.
-11, -1, 0, 4
Factor 3*z**2/8 + 663*z/2 + 146523/2.
3*(z + 442)**2/8
Factor -w**2/8 - 23*w/8 + 25/4.
-(w - 2)*(w + 25)/8
Factor v**5/2 - 77*v**4/2 + 73*v**3/2 + 233*v**2/2 - 191*v + 76.
(v - 76)*(v - 1)**3*(v + 2)/2
Solve k**3 - 89*k**2 + 2379*k - 16731 = 0 for k.
11, 39
Factor -5*s**2 - 280*s + 285.
-5*(s - 1)*(s + 57)
Let s**5/6 - 11*s**4/6 + 23*s**3/3 - 15*s**2 + 27*s/2 - 9/2 = 0. What is s?
1, 3
Solve -3*k**5/7 - 53*k**4/7 - 79*k**3/7 + 645*k**2/7 + 450*k/7 = 0.
-15, -5, -2/3, 0, 3
Factor h**5 + 5*h**4 - 33*h**3 + 27*h**2.
h**2*(h - 3)*(h - 1)*(h + 9)
Factor -5*j**3 + 50*j**2 - 85*j + 40.
-5*(j - 8)*(j - 1)**2
Factor s**3/7 + 3*s**2/7 - 9*s/7 + 5/7.
(s - 1)**2*(s + 5)/7
Factor 2*x**2/3 + 182*x + 540.
2*(x + 3)*(x + 270)/3
Suppose -k**5/5 + 344*k**4/5 + 692*k**3/5 = 0. Calculate k.
-2, 0, 346
Factor 4*u**2/3 - 614*u/3 - 308/3.
2*(u - 154)*(2*u + 1)/3
Factor -3*f**3 + 2196*f**2 - 535824*f + 43580352.
-3*(f - 244)**3
Factor 2*w**3/7 + 162*w**2/7 - 330*w/7 + 166/7.
2*(w - 1)**2*(w + 83)/7
Factor 4*o**3/5 - 104*o**2 + 1028*o/5 - 512/5.
4*(o - 128)*(o - 1)**2/5
Factor 3*h**2 + 264*h.
3*h*(h + 88)
Factor -g**2/4 - 247*g/2 - 246.
-(g + 2)*(g + 492)/4
Factor -t**2/11 + 46*t/11 + 255/11.
-(t - 51)*(t + 5)/11
Determine x so that -2*x**5/11 + 10*x**4/11 - 2*x**3/11 - 26*x**2/11 + 4*x/11 + 16/11 = 0.
-1, 1, 2, 4
Factor -3*a**2 + 27*a + 408.
-3*(a - 17)*(a + 8)
Factor -3*a**3 + 1197*a**2 - 159201*a + 7057911.
-3*(a - 133)**3
Factor -152*a**4 - 452*a**3 - 444*a**2 - 140*a + 4.
-4*(a + 1)**3*(38*a - 1)
Solve 15*b**2 + 110*b - 80 = 0.
-8, 2/3
Factor z**3/3 + 31*z**2.
z**2*(z + 93)/3
Factor -4*g**3 - 2180*g**2 - 10816*g - 8640.
-4*(g + 1)*(g + 4)*(g + 540)
Determine d, given that d**4/8 + 5*d**3/4 - d**2/8 - 5*d/4 = 0.
-10, -1, 0, 1
Let 2*k**2/3 + 26*k/3 - 28/3 = 0. What is k?
-14, 1
Find p such that -2*p**2/15 - 2*p/15 + 4/15 = 0.
-2, 1
Find f, given that -f**3 - 33*f**2 - 63*f - 31 = 0.
-31, -1
Let -16*u**5/7 - 94*u**4/7 - 28*u**3 - 166*u**2/7 - 40*u/7 + 8/7 = 0. Calculate u.
-2, -1, 1/8
Factor 2*i**3/9 - 22*i**2/3 + 242*i/3 - 2662/9.
2*(i - 11)**3/9
Factor 5*n**3 - 1275*n**2 - 13125*n - 33125.
5*(n - 265)*(n + 5)**2
Find h, given that 3*h**3/2 - 18*h**2 = 0.
0, 12
Factor -s**2/5 + 66*s/5 - 1089/5.
-(s - 33)**2/5
Determine c, given that 2*c**5 + 18*c**4 - 78*c**3 - 850*c**2 + 252*c + 7056 = 0.
-7, -4, 3, 6
Factor -130*b**4 - 228*b**3 - 32*b**2.
-2*b**2*(5*b + 8)*(13*b + 2)
Determine d, given that 144*d**4 + 125076*d**3 - 52148*d**2 - 6948*d + 3476 = 0.
-869, -1/4, 1/3
Let -v**3 + 28*v**2 - 27*v = 0. Calculate v.
0, 1, 27
Let -2*y**3/5 + 10*y**2 + 52*y/5 = 0. Calculate y.
-1, 0, 26
Factor 2*i**4 + 864*i**3 + 96704*i**2 + 732672*i + 1438208.
2*(i + 4)**2*(i + 212)**2
Suppose 2*w**5/5 - 8*w**3/5 + 4*w**2/5 + 6*w/5 - 4/5 = 0. What is w?
-2, -1, 1
Determine z so that -3*z**3 - 33*z**2 + 3*z + 33 = 0.
-11, -1, 1
Determine z so that -z**5/3 - 2*z**4 + 58*z**3/3 + 92*z**2 - 51*z - 378 = 0.
-9, -3, 2, 7
Factor 14*r**2/5 + 732*r/5 + 208/5.
2*(r + 52)*(7*r + 2)/5
Factor 3*q**3 - 54*q**2 + 213*q - 234.
3*(q - 13)*(q - 3)*(q - 2)
Solve -5*v**3 + 130*v**2 - 845*v = 0 for v.
0, 13
Factor -w**4 + 28*w**