0.
1, 1006
Solve -4*z**3/7 - 404*z**2/7 - 796*z/7 - 396/7 = 0 for z.
-99, -1
Factor -3188*t**4 + 6384*t**3 - 16*t**2.
-4*t**2*(t - 2)*(797*t - 2)
Factor -2*o**3 + 36*o**2 - 34*o.
-2*o*(o - 17)*(o - 1)
Factor -2*l**4 - 16*l**3 + 2*l**2 + 16*l.
-2*l*(l - 1)*(l + 1)*(l + 8)
Determine q, given that 2*q**4 + 100*q**3 + 448*q**2 - 100*q - 450 = 0.
-45, -5, -1, 1
Suppose 4*f**2/5 + 4*f/5 - 48/5 = 0. What is f?
-4, 3
Factor 3*a**4 + 174*a**3 + 1404*a**2 + 4050*a + 3969.
3*(a + 3)**3*(a + 49)
Factor -32*f**4/5 - 13328*f**3/5 - 1391106*f**2/5 - 693056*f/5 - 86528/5.
-2*(f + 208)**2*(4*f + 1)**2/5
Suppose -2*z**3/9 + 8*z**2 - 46*z/3 + 68/9 = 0. Calculate z.
1, 34
What is f in -f**4/5 + 6*f**3/5 + 24*f**2/5 + 26*f/5 + 9/5 = 0?
-1, 9
Factor 2*u**5/17 + 6*u**4/17 - 8*u**2/17.
2*u**2*(u - 1)*(u + 2)**2/17
Factor -85*j**3/9 + 43*j**2/3 - 14*j/9.
-j*(5*j - 7)*(17*j - 2)/9
Factor -4*a**3 + 368*a**2 - 724*a + 360.
-4*(a - 90)*(a - 1)**2
Factor r**3/6 - 15*r**2/2 + 121*r/3 - 52.
(r - 39)*(r - 4)*(r - 2)/6
Solve -3*l**3 - 33*l**2 - 18*l + 432 = 0 for l.
-8, -6, 3
Determine o, given that o**4/3 - 182*o**3/3 + 8281*o**2/3 = 0.
0, 91
Factor -2*q**2 - 54*q - 52.
-2*(q + 1)*(q + 26)
Factor 3*k**4 - 135*k**3 + 1707*k**2 - 4221*k + 2646.
3*(k - 21)**2*(k - 2)*(k - 1)
Factor r**2/3 - 29*r.
r*(r - 87)/3
Suppose -174*u**5 - 244*u**4 + 274*u**3 + 136*u**2 + 8*u = 0. Calculate u.
-2, -1/3, -2/29, 0, 1
Factor -5*t**2/3 + 89*t/3 + 6.
-(t - 18)*(5*t + 1)/3
Factor -35*l**4/2 + 29*l**3/4 + 7*l**2/2.
-l**2*(7*l + 2)*(10*l - 7)/4
Factor -2*q**5 - 8*q**4 - 8*q**3 + 4*q**2 + 10*q + 4.
-2*(q - 1)*(q + 1)**3*(q + 2)
Factor -9*g**4/4 - 15*g**3/4 - 3*g**2/4 + 3*g/4.
-3*g*(g + 1)**2*(3*g - 1)/4
Factor 2*t**3/5 + 66*t**2.
2*t**2*(t + 165)/5
Solve -k**3 - 115*k**2 - 659*k - 545 = 0 for k.
-109, -5, -1
Solve -5*b**2 + 8320*b = 0 for b.
0, 1664
Let -56*u**3/19 + 1458*u**2/19 - 1452*u/19 + 50/19 = 0. What is u?
1/28, 1, 25
What is h in h**4/2 + 93*h**3 + 8833*h**2/2 + 8556*h + 4232 = 0?
-92, -1
Solve 2*j**5/11 + 48*j**4/11 + 328*j**3/11 + 436*j**2/11 - 30*j - 44 = 0 for j.
-11, -2, -1, 1
Factor 10*z**3/7 - 58*z**2/7 + 86*z/7 - 38/7.
2*(z - 1)**2*(5*z - 19)/7
Determine n, given that -2*n**4/13 + 2*n**3 - 88*n**2/13 + 64*n/13 = 0.
0, 1, 4, 8
Find l such that 5*l**4 + 135*l**3/2 + 85*l**2 - 60*l = 0.
-12, -2, 0, 1/2
Determine v, given that 12*v**4 + 212*v**3 - 104*v**2 - 592*v - 288 = 0.
-18, -1, -2/3, 2
Let -4*k**5/5 + 64*k**4/5 - 372*k**3/5 + 952*k**2/5 - 1024*k/5 + 384/5 = 0. Calculate k.
1, 4, 6
Factor c**4/2 - 3*c**3/2 - 3*c**2 + 4*c.
c*(c - 4)*(c - 1)*(c + 2)/2
Find l, given that -2*l**3/5 + 56*l**2/5 - 98*l + 1372/5 = 0.
7, 14
Factor 5*f**3 + 445*f**2 + 13095*f + 127575.
5*(f + 27)**2*(f + 35)
What is v in 8*v**3/19 + 90*v**2/19 + 22*v/19 = 0?
-11, -1/4, 0
Factor 9*v**2/5 + 2967*v + 4944/5.
3*(v + 1648)*(3*v + 1)/5
Solve -4*o**4 - 156*o**3 + 1892*o**2 - 3300*o + 1568 = 0 for o.
-49, 1, 8
Suppose 5*a**5/2 - 17*a**4/2 + 3*a**3 = 0. Calculate a.
0, 2/5, 3
Factor 2*k**4 + 8*k**3 + 4*k**2 - 8*k - 6.
2*(k - 1)*(k + 1)**2*(k + 3)
Let 2*w**2/3 - 1516*w/3 + 287282/3 = 0. What is w?
379
Factor 4*x**5 + 856*x**4 + 45796*x**3.
4*x**3*(x + 107)**2
Factor 3*v**4/4 + 63*v**3/4 + 495*v**2/4 + 1725*v/4 + 1125/2.
3*(v + 5)**3*(v + 6)/4
Factor 2*l**5/9 + 2*l**4/3 - 8*l**2/9.
2*l**2*(l - 1)*(l + 2)**2/9
Factor -l**5/5 + l**4 + 40*l**3 - 300*l**2.
-l**2*(l - 10)**2*(l + 15)/5
Factor -3*v**4 + 327*v**3 - 9690*v**2 + 42432*v - 48672.
-3*(v - 52)**2*(v - 3)*(v - 2)
Factor 2*a**2/17 + 32*a/17 - 72/17.
2*(a - 2)*(a + 18)/17
Factor -2*c**2/9 - 70*c/9 - 248/9.
-2*(c + 4)*(c + 31)/9
Determine h, given that h**5/5 + 17*h**4/5 + 79*h**3/5 + 31*h**2 + 136*h/5 + 44/5 = 0.
-11, -2, -1
Factor -12*u**3 - 352*u**2 - 100*u + 464.
-4*(u - 1)*(u + 29)*(3*u + 4)
Factor -3*f**3 - 54*f**2 - 99*f - 48.
-3*(f + 1)**2*(f + 16)
Solve 2*c**5/15 + 4*c**4/5 - 2*c**3/15 - 4*c**2/5 = 0 for c.
-6, -1, 0, 1
Factor -3*t**3/8 - 2931*t**2/8 - 89670*t - 89304.
-3*(t + 1)*(t + 488)**2/8
Factor 9*n**2/8 + 231*n/8 - 39/4.
3*(n + 26)*(3*n - 1)/8
Factor 5*x**4/2 - 27*x**3/2 + 15*x**2 - 4*x.
x*(x - 4)*(x - 1)*(5*x - 2)/2
Factor -2*m**4 - 4*m**3 + 26*m**2 - 20*m.
-2*m*(m - 2)*(m - 1)*(m + 5)
Factor -2*p**4 + 34*p**3 - 62*p**2 + 30*p.
-2*p*(p - 15)*(p - 1)**2
Let -196*o**3 + 2856*o**2 - 1584*o + 224 = 0. What is o?
2/7, 14
Solve 4*g**2 + 120*g - 256 = 0.
-32, 2
Factor -5*t**5 - 20*t**4 + 10*t**3 + 60*t**2 - 45*t.
-5*t*(t - 1)**2*(t + 3)**2
Determine g so that -14*g**3/3 - 36*g**2 + 32*g/3 = 0.
-8, 0, 2/7
Suppose 50*k**4/3 - 490*k**3 + 6903*k**2/2 + 2205*k + 675/2 = 0. What is k?
-3/10, 15
Find x, given that 27*x**5/5 + 63*x**4/5 + 48*x**3/5 + 12*x**2/5 = 0.
-1, -2/3, 0
Find a, given that a**5/6 - 13*a**3/6 + 8*a**2/3 + 2*a - 8/3 = 0.
-4, -1, 1, 2
Factor 5*u**3/4 + 1105*u**2/4 + 2195*u/4 + 1095/4.
5*(u + 1)**2*(u + 219)/4
Factor -i**2 + 16*i - 48.
-(i - 12)*(i - 4)
Find t, given that 3*t**3/7 + 69*t**2/7 + 360*t/7 - 432/7 = 0.
-12, 1
Suppose 3*r**3/8 + 693*r**2/4 + 2763*r/8 + 345/2 = 0. What is r?
-460, -1
Factor g**2 + 8*g + 15.
(g + 3)*(g + 5)
Suppose -4*m**5 + 20*m**4 - 16*m**3 - 64*m**2 + 128*m - 64 = 0. Calculate m.
-2, 1, 2
Factor -2*v**2 + 2316*v - 670482.
-2*(v - 579)**2
Suppose g**4/3 + g**3/3 - 26*g**2/3 + 8*g = 0. What is g?
-6, 0, 1, 4
Factor 3*a**3/7 - 39*a**2/7 - 195*a/7 - 153/7.
3*(a - 17)*(a + 1)*(a + 3)/7
Factor 2*n**3/17 - 26*n**2/17 - 66*n/17 + 90/17.
2*(n - 15)*(n - 1)*(n + 3)/17
Factor -9*j**2/2 + 583*j/2 + 65.
-(j - 65)*(9*j + 2)/2
Suppose 2*w**4 - 224*w**3 + 6672*w**2 - 20736*w - 69984 = 0. Calculate w.
-2, 6, 54
Factor 102*d**2 + 105*d + 3.
3*(d + 1)*(34*d + 1)
Find d such that -3*d**2 - 12*d + 15 = 0.
-5, 1
Factor 2*q**5/3 + 4*q**4/3 - 10*q**3.
2*q**3*(q - 3)*(q + 5)/3
Determine k, given that -k**3/2 - 31*k**2/2 - 43*k - 28 = 0.
-28, -2, -1
Find i, given that 4*i**4 - 28*i**3 - 176*i**2 = 0.
-4, 0, 11
Let j**4/2 + 246*j**3 + 30011*j**2 - 60762*j + 61009/2 = 0. What is j?
-247, 1
What is o in 10*o**4/13 + 1954*o**3/13 + 770*o**2/13 - 1954*o/13 - 60 = 0?
-195, -1, -2/5, 1
Factor 3*y**2 + 33*y + 54.
3*(y + 2)*(y + 9)
Find d such that 4*d**5 - 128*d**4 + 864*d**3 + 2968*d**2 - 4964*d - 6936 = 0.
-3, -1, 2, 17
Factor -12665*p**3 - 12655*p**2 + 10*p.
-5*p*(p + 1)*(2533*p - 2)
Factor 25*y**4 - 810*y**3 + 6721*y**2 - 2592*y + 256.
(y - 16)**2*(5*y - 1)**2
Factor -2*z**4 - 18*z**3 + 22*z**2 + 18*z - 20.
-2*(z - 1)**2*(z + 1)*(z + 10)
Let 2*p**2/5 - 18508*p/5 + 42818258/5 = 0. Calculate p.
4627
Find f, given that f**2 + 228*f = 0.
-228, 0
Factor -3*j**2 - 534*j + 1629.
-3*(j - 3)*(j + 181)
Factor 2*k**2 + 492*k + 3808.
2*(k + 8)*(k + 238)
Factor y**2/3 - 134*y/3 + 889/3.
(y - 127)*(y - 7)/3
Find i, given that -3*i**3/4 + 3*i**2/2 + 3*i/4 - 3/2 = 0.
-1, 1, 2
Suppose -4*q**4 + 168*q**3 - 2484*q**2 + 15120*q - 32400 = 0. Calculate q.
6, 15
Factor b**3 - 41*b**2/4 + 77*b/4 - 10.
(b - 8)*(b - 1)*(4*b - 5)/4
Factor 5*j**2 + 1645*j - 1650.
5*(j - 1)*(j + 330)
Solve 14*d**3/15 + 2*d**2/3 - 4*d/15 = 0 for d.
-1, 0, 2/7
Factor 179*h**2 - 356*h - 4.
(h - 2)*(179*h + 2)
Let c**3 - 171*c**2 + 990*c = 0. What is c?
0, 6, 165
Find i, given that i**3 + 181*i**2 + 8099*i - 8281 = 0.
-91, 1
Determine a so that a**4/8 + 7*a**3/2 - 3*a**2/8 - 41*a/4 + 7 = 0.
-28, -2, 1
Factor 2*s**2/7 - 12*s/7 - 1782/7.
2*(s - 33)*(s + 27)/7
Factor -3*h**2/4 + 75*h/4 + 63.
-3*(h - 28)*(h + 3)/4
Let 155*x**2 + 22775*x - 1470 = 0. Calculate x.
-147, 2/31
Find x, given that -2*x**5/9 - 2*x**4/9 + 2*x**3 + 10*x**2/9 - 32*x/9 - 8/3 = 0.
-3, -1, 2
Suppose -j**4 + 18*j**3 - 116*j**2 + 312*j - 288 = 0. Calculate j.
2, 4, 6
Determine n so that -3*n**4/4 + 189*n**3/4 - 3069*n**2/4 + 2883*n/4 = 0.
0, 1, 31
Factor 3*j**3/2 - 471*j**2/2 - 3297*j - 3060.
3*(j - 170)*(j + 1)*(j + 12)/2
Factor 2*q**3 - 10*q**2 - 156*q - 144.
2*(q - 12)*(q + 1)*(q + 6)
Factor 4*w**3 + 1876*w**2 + 1864*w - 3744.
4*(w - 1)*(w + 2)*(w + 468)
Factor 3*i**3 - 564*i**2 - 1137*i - 570.
3*(i - 190)*(i + 1)**2
Determine o so that -2*o**2 - 652*o - 53138 = 0.
-163
Suppose -3*v**3 + 69*v**2 = 0. What is v?
0, 23
Suppose 4*t**5 - 16*t**4 + 16*t**3 = 0. What is t?
0, 2
Factor -2*r**2/9 + 9176*r/9 - 10524872/9.
-2*(r - 2294)**2/9
Find a, given that -2*a**3/9 + 16*a**2/9 - 22*a/9 - 40/9 = 0.
-1, 4, 5
Factor -4*u**4 - 108