39*v**4/7 + 69*v**3/7 - 33*v**2/7.
3*v**2*(v - 11)*(v - 1)**2/7
Solve -2*l**2/11 + 64*l/11 - 312/11 = 0.
6, 26
Solve 3*d**4 - 12*d**3 + 12*d**2 = 0.
0, 2
Determine g, given that 5*g**4/3 + 65*g**3/3 + 100*g**2 + 560*g/3 + 320/3 = 0.
-4, -1
Factor 20*b**4 + 336*b**3 + 252*b**2 - 64*b.
4*b*(b + 1)*(b + 16)*(5*b - 1)
Suppose 21*y**5/8 - 33*y**4/4 + 51*y**3/8 - 3*y**2/4 = 0. Calculate y.
0, 1/7, 1, 2
Solve 2*c**4 + 756*c**3 + 750*c**2 - 1508*c = 0.
-377, -2, 0, 1
Find d, given that 2*d**3 - 70*d**2 - 4114*d - 39882 = 0.
-17, 69
Factor -3*v**4 - 24*v**3 - 51*v**2 - 30*v.
-3*v*(v + 1)*(v + 2)*(v + 5)
Let -5*u**2 + 25*u - 30 = 0. What is u?
2, 3
Find q, given that 87*q**2/4 - 231*q/2 + 135/4 = 0.
9/29, 5
Factor 2*o**2 + 366*o + 1080.
2*(o + 3)*(o + 180)
Let -14*l**5/3 + 48*l**4 - 208*l**3/3 - 320*l**2 + 96*l = 0. Calculate l.
-2, 0, 2/7, 6
Factor -3*i**2 + 108*i - 297.
-3*(i - 33)*(i - 3)
Factor -2000*a**3 + 2600*a**2 + 2555*a + 490.
-5*(a - 2)*(20*a + 7)**2
Factor -3*p**3 - 78*p**2 - 576*p - 864.
-3*(p + 2)*(p + 12)**2
Factor -5*z**2 + 35*z.
-5*z*(z - 7)
Factor -30*t**2 + 155*t - 190.
-5*(t - 2)*(6*t - 19)
Solve 235225*i**3 + 232315*i**2 - 2901*i + 9 = 0.
-1, 3/485
Solve -g**4/4 + 3*g**3/4 = 0.
0, 3
Factor -25*a**3 + 195*a**2 + 865*a + 165.
-5*(a - 11)*(a + 3)*(5*a + 1)
Factor w**3/5 - 12*w**2/5 + 32*w/5.
w*(w - 8)*(w - 4)/5
Find a, given that -76*a**4/5 - 154*a**3/5 - 16*a**2 - 2*a/5 = 0.
-1, -1/38, 0
Factor 4*k**2 + 356*k - 1488.
4*(k - 4)*(k + 93)
Find g, given that 4*g**2 - 25*g - 21 = 0.
-3/4, 7
Determine w so that 3*w**5 - 45*w**4 + 159*w**3 - 63*w**2 - 270*w = 0.
-1, 0, 3, 10
Solve -d**2/5 + 48*d/5 - 576/5 = 0.
24
Factor 3*a**2/4 + 9*a/2 + 15/4.
3*(a + 1)*(a + 5)/4
Solve -3*z**4 - 154*z**3 - 48*z**2 + 154*z + 51 = 0.
-51, -1, -1/3, 1
Solve j**2/4 + 27*j/4 - 7 = 0 for j.
-28, 1
Factor 4*d**4 - 12*d**3 - 100*d**2 - 84*d.
4*d*(d - 7)*(d + 1)*(d + 3)
Determine w so that 4*w**5 + 12*w**4 - 92*w**3 + 132*w**2 - 56*w = 0.
-7, 0, 1, 2
Determine a so that -a**3/7 - 75*a**2/7 + 153*a/7 - 11 = 0.
-77, 1
Determine a, given that -a**5 + 35*a**4 - 65*a**3 - 35*a**2 + 66*a = 0.
-1, 0, 1, 2, 33
Suppose -3*w**3/8 + 195*w**2/8 - 24*w = 0. Calculate w.
0, 1, 64
Factor w**2/2 - 63*w/2 + 118.
(w - 59)*(w - 4)/2
Solve -2*q**4/7 - 20*q**3 + 142*q**2/7 = 0.
-71, 0, 1
What is f in f**3 + 1699*f**2 + 720800*f - 722500 = 0?
-850, 1
Determine c so that 4*c**5 + 16*c**4 + 20*c**3 + 8*c**2 = 0.
-2, -1, 0
Determine y, given that -2*y**3/19 + 120*y**2/19 - 2106*y/19 + 11492/19 = 0.
13, 34
Factor -r**3 + 81*r**2 - 1755*r + 4563.
-(r - 39)**2*(r - 3)
Suppose -85*r**3/2 + 245*r**2/2 - 70*r - 10 = 0. What is r?
-2/17, 1, 2
Solve -2*r**3/5 + 36*r**2/5 + 558*r/5 - 1944/5 = 0 for r.
-12, 3, 27
Factor -5*b**4 + 10*b**3 + 60*b**2 + 70*b + 25.
-5*(b - 5)*(b + 1)**3
Factor b**2/5 - 6*b/5 - 16/5.
(b - 8)*(b + 2)/5
Factor -2*f**2/23 + 52*f/23 + 54/23.
-2*(f - 27)*(f + 1)/23
Factor 2*p**4/5 - 4*p**3/5 - 2*p**2/5 + 4*p/5.
2*p*(p - 2)*(p - 1)*(p + 1)/5
Determine m so that 3*m**4 + 39*m**3 + 36*m**2 = 0.
-12, -1, 0
Solve 3*y**4 + 12*y**3 + 18*y**2 + 12*y + 3 = 0 for y.
-1
Factor -r**2 + 72*r - 1296.
-(r - 36)**2
Suppose 8*q**3/7 - 514*q**2/7 + 8320*q/7 - 2048/7 = 0. What is q?
1/4, 32
Factor 4*r**3 + 176*r**2 - 564*r.
4*r*(r - 3)*(r + 47)
Factor b**3/4 + 115*b**2/4.
b**2*(b + 115)/4
Factor 3*i**5 + 24*i**4 + 39*i**3 + 18*i**2.
3*i**2*(i + 1)**2*(i + 6)
Determine h so that 4*h**3/9 + 22*h**2/9 - 8*h - 10 = 0.
-15/2, -1, 3
Factor y**3/4 - 127*y**2/4 - 789*y/4 - 1197/4.
(y - 133)*(y + 3)**2/4
Let -2*u**4/5 - 48*u**3/5 + 14*u**2/5 + 324*u/5 - 288/5 = 0. Calculate u.
-24, -3, 1, 2
Factor -2*x**3/9 + 26*x**2/9 - 8*x/3.
-2*x*(x - 12)*(x - 1)/9
What is n in -5*n**2/4 - 30*n - 475/4 = 0?
-19, -5
Solve 3*p**2 - 18*p - 81 = 0 for p.
-3, 9
Factor -20*y**2 + 1404*y + 1136.
-4*(y - 71)*(5*y + 4)
Factor l**2 - 7794*l + 15186609.
(l - 3897)**2
Factor -25*l**2 + 140*l - 75.
-5*(l - 5)*(5*l - 3)
Factor -x**3/6 - 25*x**2 - 149*x/6.
-x*(x + 1)*(x + 149)/6
Factor -3*m**4/4 - 3*m**3/2 + 21*m**2/4 - 3*m.
-3*m*(m - 1)**2*(m + 4)/4
What is i in i**2/5 - 9*i/5 = 0?
0, 9
Solve v**2 - 216*v = 0.
0, 216
Suppose -2*z**3 + 8*z**2 + 32*z - 128 = 0. What is z?
-4, 4
Factor -3*m**4/8 - 9*m**3/8 - 9*m**2/8 - 3*m/8.
-3*m*(m + 1)**3/8
Find w such that -2*w**3/23 - 798*w**2/23 - 106134*w/23 - 4705274/23 = 0.
-133
Determine k, given that -3*k**3 + 12*k**2 - 3*k - 18 = 0.
-1, 2, 3
Factor 4*p**3 + 3402*p**2 + 724200*p + 361250.
2*(p + 425)**2*(2*p + 1)
Suppose -3*v**3 - 5634*v**2 - 2639520*v + 5301600 = 0. What is v?
-940, 2
What is x in 2*x**5/7 - 8*x**4/7 - 16*x**3/7 + 12*x**2 - 18*x/7 - 108/7 = 0?
-3, -1, 2, 3
Suppose -3*j**3 + 33*j**2 + 54*j - 216 = 0. What is j?
-3, 2, 12
Determine j, given that -2*j**4/3 + 2*j**3/3 + 10*j**2/3 + 2*j = 0.
-1, 0, 3
Solve 44*b**5/5 + 228*b**4/5 - 92*b**3/5 - 596*b**2/5 + 336*b/5 + 16 = 0 for b.
-5, -2, -2/11, 1
Factor r**5/6 - 2*r**4/3 + r**3/6 + r**2.
r**2*(r - 3)*(r - 2)*(r + 1)/6
Factor -5*n**4 - 20*n**3 + 185*n**2 - 340*n + 180.
-5*(n - 2)**2*(n - 1)*(n + 9)
Let 2*c**4 - 54*c**3/5 - 8*c**2 + 24*c/5 = 0. Calculate c.
-1, 0, 2/5, 6
Factor -4*c**2/5 - 408*c/5 + 832/5.
-4*(c - 2)*(c + 104)/5
Find k, given that -2*k**2/19 + 4016*k/19 - 4014/19 = 0.
1, 2007
Solve -m**5/6 + 7*m**4/2 + 23*m**3/3 + m**2/3 - 15*m/2 - 23/6 = 0 for m.
-1, 1, 23
Let 3*i**2 - 96*i + 336 = 0. What is i?
4, 28
Factor -5*y**3 + 700*y**2 - 12500*y + 60000.
-5*(y - 120)*(y - 10)**2
Suppose -2*s**2/9 + 40*s/3 - 200 = 0. Calculate s.
30
Factor -2*n**3/13 + 28*n**2/13 + 2*n/13 - 28/13.
-2*(n - 14)*(n - 1)*(n + 1)/13
Factor -b**5/2 + 73*b**4/2 - 719*b**3 + 1943*b**2 - 3745*b/2 + 1225/2.
-(b - 35)**2*(b - 1)**3/2
Determine s, given that 303*s**4 - 297*s**3 - 612*s**2 - 12*s = 0.
-1, -2/101, 0, 2
What is z in 2*z**2/5 - 658*z/5 + 656/5 = 0?
1, 328
Solve -8*i**4 - 130*i**3 - 616*i**2 - 866*i - 180 = 0.
-9, -5, -2, -1/4
Determine d, given that -4*d**2/3 - 592*d/3 + 4340/3 = 0.
-155, 7
Solve 6*h**4 - 16*h**3 - 30*h**2 - 8*h = 0.
-1, -1/3, 0, 4
Determine q, given that 5*q**2 - 60*q + 100 = 0.
2, 10
What is u in 2*u**2 + 80*u = 0?
-40, 0
Find v such that 1100*v**4 + 520*v**3 - 2544*v**2 + 1504*v - 256 = 0.
-2, 2/5, 8/11
Factor 3*v**3/8 + 15*v**2/2 + 237*v/8 + 45/2.
3*(v + 1)*(v + 4)*(v + 15)/8
Let -5*g**2 - 8960*g - 4014080 = 0. What is g?
-896
Factor t**2/3 - 14*t - 45.
(t - 45)*(t + 3)/3
Factor 4*p**5 + 32*p**4 + 72*p**3 - 108*p.
4*p*(p - 1)*(p + 3)**3
Suppose 2*a**5 - 14*a**4 + 30*a**3 - 18*a**2 = 0. What is a?
0, 1, 3
Let 4*r**4 + 2592*r**3 + 557256*r**2 + 39178048*r - 122619756 = 0. Calculate r.
-217, 3
Solve -4*i**2 - 44*i - 40 = 0 for i.
-10, -1
Factor z**2/9 - 70*z/9 - 71/9.
(z - 71)*(z + 1)/9
What is k in k**3 + 31*k**2 - 145*k - 175 = 0?
-35, -1, 5
Determine k, given that 10*k**2 + 3345*k + 8300 = 0.
-332, -5/2
Let -2*w**3/3 + 10*w**2/3 - 2*w - 6 = 0. Calculate w.
-1, 3
Suppose 2*g**4/5 - 8*g**3/3 - 116*g**2/15 - 88*g/15 - 6/5 = 0. Calculate g.
-1, -1/3, 9
Suppose 3*d**2/5 - 78*d/5 - 93 = 0. Calculate d.
-5, 31
What is f in -f**4 - 7*f**3 - 2*f**2 + 28*f + 24 = 0?
-6, -2, -1, 2
Factor -2*c**5/9 - 8*c**4/9 + 22*c**3/9 - 4*c**2/3.
-2*c**2*(c - 1)**2*(c + 6)/9
Factor 2*w**4/9 - 668*w**3/9 + 16726*w**2/3 + 935200*w/9 + 3920000/9.
2*(w - 175)**2*(w + 8)**2/9
Factor -10*c**5/7 - 34*c**4/7 - 6*c**3 - 22*c**2/7 - 4*c/7.
-2*c*(c + 1)**3*(5*c + 2)/7
Factor -4*y**2 - 108*y - 200.
-4*(y + 2)*(y + 25)
Factor 3*v**3 + 4338*v**2 + 1563840*v - 3145056.
3*(v - 2)*(v + 724)**2
Determine g, given that 3*g**2 - 24*g - 315 = 0.
-7, 15
Suppose -5*i**2 - 5850*i - 1711125 = 0. Calculate i.
-585
Find r, given that -3*r**2/5 - 132*r + 663/5 = 0.
-221, 1
Factor 3*p**2/8 + 39*p + 1014.
3*(p + 52)**2/8
Suppose 5*z**5 + 55*z**4 + 215*z**3 + 365*z**2 + 280*z + 80 = 0. Calculate z.
-4, -1
Find d such that 3*d**2/2 - 96*d + 1536 = 0.
32
Factor -125*g**2 - 80*g.
-5*g*(25*g + 16)
Factor w**4/7 + 45*w**3/7 + 62*w**2 - 1632*w/7 + 1152/7.
(w - 2)*(w - 1)*(w + 24)**2/7
Let 24*o**5 - 609*o**4 - 7302*o**3 - 26352*o**2 - 36450*o - 14175 = 0. What is o?
-3, -5/8, 35
Factor -2*c**2/11 + 16*c - 352.
-2*(c - 44)**2/11
Suppose 2*j**2 + 86*j + 504 = 0. Calculate j.
-36, -7
Factor 2*l**3/3 + 2*l**2 - 12*l.
2*l*(l - 3)*(l + 6)/3
Factor 4*o**5 + 12*o**4 + 8*o**3 - 8*o**2 