.
-3*v**2*(v + 1)*(v + 10)
Determine i so that -16*i**3 - 60*i**2 + 96*i - 20 = 0.
-5, 1/4, 1
Solve -6*d**5 - 15*d**4 + 243*d**3 + 33*d**2 - 705*d + 450 = 0.
-15/2, -2, 1, 5
Factor 5*n**3 + 3475*n**2 - 5*n - 3475.
5*(n - 1)*(n + 1)*(n + 695)
What is r in 28*r**5 + 496*r**4 - 704*r**3 - 344*r**2 + 676*r - 152 = 0?
-19, -1, 2/7, 1
Determine v so that -2*v**4 - 16*v**3 + 86*v**2 - 116*v + 48 = 0.
-12, 1, 2
Factor -3*x**2 - 282*x - 1080.
-3*(x + 4)*(x + 90)
Let -3*r**4 - 30*r**3 - 99*r**2 - 120*r - 48 = 0. Calculate r.
-4, -1
Factor 4*d**2 + 495*d + 369.
(d + 123)*(4*d + 3)
Factor -3*i**2 - 48*i - 45.
-3*(i + 1)*(i + 15)
Factor 3*o**4 + 156*o**3 + 2946*o**2 + 23868*o + 70227.
3*(o + 9)**2*(o + 17)**2
Factor 3*z**2/7 - 162*z - 1137/7.
3*(z - 379)*(z + 1)/7
Find f, given that 18*f**2 + 2*f = 0.
-1/9, 0
Solve -4*t**4 - 4*t**3/3 + 152*t**2/3 - 32*t = 0 for t.
-4, 0, 2/3, 3
Determine y, given that -4*y**4/7 + 54*y**3/7 - 22*y**2/7 - 54*y/7 + 26/7 = 0.
-1, 1/2, 1, 13
Factor 5*z**5 - 5*z**4 - 10*z**3.
5*z**3*(z - 2)*(z + 1)
What is z in z**3/4 - z**2/4 - 25*z/4 + 25/4 = 0?
-5, 1, 5
Factor -4*o**2/5 - 232*o/5 - 228/5.
-4*(o + 1)*(o + 57)/5
Suppose 5*b**3 - 65*b - 60 = 0. What is b?
-3, -1, 4
Determine v, given that 2*v**5 + 24*v**4 + 98*v**3 + 180*v**2 + 152*v + 48 = 0.
-6, -2, -1
Factor c**2 - 3*c - 4.
(c - 4)*(c + 1)
Factor -p**5/10 + p**4/5 + 3*p**3/10 - 2*p**2/5 - 2*p/5.
-p*(p - 2)**2*(p + 1)**2/10
Find s, given that -2*s**3/19 + 36*s**2/19 = 0.
0, 18
Let -2*c**2 + 122*c - 120 = 0. Calculate c.
1, 60
Factor -r**2/3 - 4*r + 15.
-(r - 3)*(r + 15)/3
Let 33*q**4 + 69*q**3 + 6*q**2 = 0. What is q?
-2, -1/11, 0
Let -3*m**2/5 + 147*m/5 + 468/5 = 0. What is m?
-3, 52
Factor 3*l**4/2 - 6*l**3 - 9*l**2/2 + 21*l - 12.
3*(l - 4)*(l - 1)**2*(l + 2)/2
Factor -y**2/2 - 7*y/2 + 4.
-(y - 1)*(y + 8)/2
Let 4*t**5 + 4576*t**4 + 9140*t**3 + 4568*t**2 = 0. What is t?
-1142, -1, 0
Suppose 3*w**2/5 - 522*w/5 + 22707/5 = 0. Calculate w.
87
Let 5*d**3/4 + 318*d**2 + 81153*d/4 + 16129/2 = 0. Calculate d.
-127, -2/5
Determine k, given that -3*k**2 - 291*k = 0.
-97, 0
Factor -4*i**2 + 3776*i - 891136.
-4*(i - 472)**2
Factor -81*z**5/7 - 10728*z**4/7 - 475204*z**3/7 - 7109520*z**2/7 - 441408*z - 340736/7.
-(z + 44)**3*(9*z + 2)**2/7
Factor 3*u**3/2 - 321*u**2/2 - 651*u/2 - 327/2.
3*(u - 109)*(u + 1)**2/2
Factor c**2 + 92*c + 435.
(c + 5)*(c + 87)
Factor 245*s**4 - 1120*s**3 - 4565*s**2 + 2860*s - 420.
5*(s - 7)*(s + 3)*(7*s - 2)**2
Suppose -138*q**2/11 - 1644*q/11 + 144/11 = 0. What is q?
-12, 2/23
What is z in 5*z**5 + 25*z**4 + 35*z**3 + 15*z**2 = 0?
-3, -1, 0
Determine w, given that -3*w**5/2 + 3*w**4 + 393*w**3 - 3486*w**2 + 15417*w/2 - 4617 = 0.
-19, 1, 2, 9
Solve 9*r**3 + 870*r**2 - 1173*r + 294 = 0 for r.
-98, 1/3, 1
Let -8*q**3/5 + 9*q**2/5 + 17*q/5 = 0. Calculate q.
-1, 0, 17/8
What is m in -3*m**5 + 171*m**4 + 174*m**3 = 0?
-1, 0, 58
Factor -z**2/4 - 157*z/2 - 24649/4.
-(z + 157)**2/4
Factor -5*h**4 + 15*h**3 + 75*h**2 + 85*h + 30.
-5*(h - 6)*(h + 1)**3
Factor i**3/2 + i**2 - 4*i.
i*(i - 2)*(i + 4)/2
Factor -15*l**3 + 440*l**2 - 3075*l - 2250.
-5*(l - 15)**2*(3*l + 2)
Factor l**4/2 + 21*l**3/2 - 9*l**2/2 - 189*l/2.
l*(l - 3)*(l + 3)*(l + 21)/2
Suppose -3*s**4/4 - 219*s**3/4 + 9*s**2/4 + 663*s/4 + 219/2 = 0. What is s?
-73, -1, 2
What is t in 4*t**4 - 28*t**3 + 72*t**2 - 80*t + 32 = 0?
1, 2
Suppose 1058*h**5 + 35627*h**4 - 12343*h**3 - 20938*h**2 - 3268*h - 136 = 0. What is h?
-34, -1/2, -2/23, 1
Let 2*w**2/13 + 18*w/13 - 180/13 = 0. Calculate w.
-15, 6
Determine t, given that 629*t**2/3 - 631*t/3 + 2/3 = 0.
2/629, 1
Find z, given that 4*z**2 - 60*z + 176 = 0.
4, 11
Suppose 12*a**4/7 + 33*a**3/7 - 57*a**2/7 - 132*a/7 + 36/7 = 0. Calculate a.
-3, -2, 1/4, 2
Suppose -5*f**2 - 17740*f - 15735380 = 0. What is f?
-1774
Suppose t**5/11 - 61*t**4/11 + 767*t**3/11 + 4921*t**2/11 + 768*t + 396 = 0. Calculate t.
-2, -1, 33
Determine y, given that 2*y**3/11 + 82*y**2/11 - 2402*y/11 + 2318/11 = 0.
-61, 1, 19
Factor -2*a**2 - 25544*a - 81561992.
-2*(a + 6386)**2
Determine r so that 3*r**4/7 + 138*r**3/7 - 909*r**2/7 + 1404*r/7 = 0.
-52, 0, 3
Factor 4*c**3 - 10524*c**2 + 6916896*c + 6927424.
4*(c - 1316)**2*(c + 1)
Factor 35*o**2 - 14430*o + 4120.
5*(o - 412)*(7*o - 2)
Factor -5*i**3 + 525*i**2 - 12960*i - 43740.
-5*(i - 54)**2*(i + 3)
Find w such that -4*w**3 + 140*w**2 - 1152*w - 1296 = 0.
-1, 18
Find t, given that -t**3/6 - 3*t**2/2 + 19*t/2 + 65/6 = 0.
-13, -1, 5
Factor 3*t**2/4 - 945*t/2 + 297675/4.
3*(t - 315)**2/4
Let 4*b**2 - 16*b - 48 = 0. What is b?
-2, 6
Factor -r**3/2 + 13*r**2 + 187*r/2 + 80.
-(r - 32)*(r + 1)*(r + 5)/2
Let 7*f**2 - 15*f + 8 = 0. Calculate f.
1, 8/7
Suppose -2*z**4/7 + 34*z**3/7 - 22*z**2/7 - 22*z - 96/7 = 0. What is z?
-1, 3, 16
Factor 2*i**4/11 - 32*i**3/11 + 180*i**2/11 - 400*i/11 + 250/11.
2*(i - 5)**3*(i - 1)/11
Find g such that -4*g**5 - 20*g**4 - 24*g**3 + 8*g**2 + 28*g + 12 = 0.
-3, -1, 1
Solve h**4/4 - 3*h**3/2 + 5*h**2/4 = 0.
0, 1, 5
Factor -5*o**2 + 185*o - 350.
-5*(o - 35)*(o - 2)
Factor -w**4/4 - 49*w**3/4 + 133*w**2/2 - 54*w.
-w*(w - 4)*(w - 1)*(w + 54)/4
Let -3*v**3 - 4230*v**2 - 1491075*v = 0. What is v?
-705, 0
Factor 2*g**3/9 - 44*g**2/9 + 82*g/9 - 40/9.
2*(g - 20)*(g - 1)**2/9
Factor 2*y**2 + 2*y.
2*y*(y + 1)
Let -10*x**5 - 8865*x**4 + 13320*x**3 - 5*x**2 - 4440*x = 0. Calculate x.
-888, -1/2, 0, 1
Let -2*b**4/9 + 20*b**3/9 - 14*b**2/9 - 4*b = 0. What is b?
-1, 0, 2, 9
Determine x so that -x**4/4 + 3*x**3/4 + 13*x**2/4 - 15*x/4 = 0.
-3, 0, 1, 5
Factor -3*y**2/5 + 9*y/5 - 6/5.
-3*(y - 2)*(y - 1)/5
Factor 27*q**3/4 - 969*q**2/4 - 55*q/2 + 18.
(q - 36)*(3*q + 1)*(9*q - 2)/4
Suppose 4*w**4 + 84*w**3 - 380*w**2 + 492*w - 200 = 0. What is w?
-25, 1, 2
Factor -9*o**2/7 - 102*o/7 + 72/7.
-3*(o + 12)*(3*o - 2)/7
Factor 2*p**2/9 + 344*p/9.
2*p*(p + 172)/9
Factor -48*d**5 + 216*d**4 - 99*d**3 + 12*d**2.
-3*d**2*(d - 4)*(4*d - 1)**2
Suppose -3*z**3 - 63*z**2 + 462*z - 648 = 0. What is z?
-27, 2, 4
Factor -2*z**3/7 + 272*z**2/7 - 9248*z/7.
-2*z*(z - 68)**2/7
Determine o, given that 4*o**5/7 - 100*o**4/7 + 264*o**3/7 = 0.
0, 3, 22
Factor 2*k**3 + 122*k**2 + 1840*k + 8200.
2*(k + 10)**2*(k + 41)
Find z such that z**2 + 90*z + 2025 = 0.
-45
Factor f**2/3 - 3*f + 20/3.
(f - 5)*(f - 4)/3
Factor -2*l**3 + 64*l**2 - 330*l + 468.
-2*(l - 26)*(l - 3)**2
Solve -1597696*h**2/5 - 15168*h/5 - 36/5 = 0 for h.
-3/632
Solve 2*c**2 - 2*c - 24 = 0.
-3, 4
Factor -u**4/6 - 1837*u**3/3 + 1838*u**2 - 5515*u/3 + 3677/6.
-(u - 1)**3*(u + 3677)/6
Determine a so that 2*a**5/13 + 38*a**4/13 + 6*a**3 - 630*a**2/13 = 0.
-15, -7, 0, 3
Find s such that -4*s**4 + 252*s**3 - 5292*s**2 + 37044*s = 0.
0, 21
Factor 3*i**5/7 - 6*i**4/7.
3*i**4*(i - 2)/7
Factor 169*l**3/4 - 1833*l**2/2 - 285*l - 22.
(l - 22)*(13*l + 2)**2/4
Factor 5*d**5 + 580*d**4 + 22805*d**3 + 318250*d**2 + 570380*d + 274360.
5*(d + 1)**2*(d + 38)**3
Suppose 3*b**2/4 + 69*b/4 + 57 = 0. Calculate b.
-19, -4
Determine m so that 3*m**5/7 - 69*m**4/7 - 150*m**3/7 - 6*m**2/7 + 21*m + 75/7 = 0.
-1, 1, 25
Determine g, given that -2*g**2/3 - 2*g + 20/3 = 0.
-5, 2
Factor 3*b**5 - 9*b**4 - 12*b**3.
3*b**3*(b - 4)*(b + 1)
Suppose -4*n**5 + 16*n**4 + 44*n**3 + 24*n**2 = 0. What is n?
-1, 0, 6
Determine a so that 2*a**4/13 - 6*a**3/13 + 6*a**2/13 - 2*a/13 = 0.
0, 1
Factor -3*m**3/2 + 237*m**2 - 471*m/2.
-3*m*(m - 157)*(m - 1)/2
Let 9*c**4/5 - 906*c**3/5 + 2367*c**2/5 - 294*c = 0. Calculate c.
0, 1, 5/3, 98
Factor -3*j**2 - 390*j + 393.
-3*(j - 1)*(j + 131)
Factor 2*d**3 + 22*d**2 - 336*d - 3744.
2*(d - 13)*(d + 12)**2
Factor 2*b**2 - 1424*b + 2840.
2*(b - 710)*(b - 2)
Determine d so that d**3 - 34*d**2 - 231*d - 360 = 0.
-3, 40
Suppose 4*f**2/3 - 352*f/3 + 1660/3 = 0. Calculate f.
5, 83
Solve -2*n**4/23 - 20*n**3/23 + 182*n**2/23 - 8*n - 384/23 = 0 for n.
-16, -1, 3, 4
Factor -15*p**3/4 - 571*p**2/2 - 5453*p - 722.
-(p + 38)**2*(15*p + 2)/4
Suppose -4*s**5/3 - 68*s**4/3 + 76*s**3/3 + 68*s**2/3 - 24*s = 0. Calculate s.
-18, -1, 0, 1
Find v, given that -4*v**3 - 204*v**2 - 396*v - 196 = 0.
-49, -1
Let 5*q**3/3 - 35*q**2/3 - 30*q = 0. What is q?
-2, 0, 9
Find c such that -2*c**3/9 - 34*c**2/9 - 28*c/3 = 0.
-14, -3, 0
Factor 14*b**3/3 - 8*b**2/3 - 14*b/3 + 8/3.
2*(b - 1)*(b + 1)*(7*b - 4)/3
Solve -8*o**2 - 4822*o + 1206 = 0.
-603