2*n**5/5 + 116*n**4/5 - 484*n**3/5 + 736*n**2/5 - 494*n/5 + 124/5.
2*(n - 1)**4*(n + 62)/5
Find y such that 2*y**2/3 + 312*y + 36504 = 0.
-234
Find g such that g**3 - 4*g**2 - 7*g + 10 = 0.
-2, 1, 5
Find y, given that -y**4 - 10*y**3 - 9*y**2 = 0.
-9, -1, 0
Solve -2*b**4/11 - 102*b**3/11 - 720*b**2/11 + 16200*b/11 = 0.
-30, 0, 9
Solve -54*w**5/5 + 27*w**4 - 84*w**3/5 - 18*w**2/5 + 18*w/5 + 3/5 = 0 for w.
-1/3, -1/6, 1
Factor 35*n**5 + 405*n**4 + 1500*n**3 + 1520*n**2 - 960*n.
5*n*(n + 4)**3*(7*n - 3)
Factor -d**2/4 - d/2 + 2.
-(d - 2)*(d + 4)/4
Solve 4*c**5 - 72*c**4 + 52*c**3 + 1680*c**2 + 3472*c + 1920 = 0.
-2, -1, 8, 15
Factor 5*w**4 + 6370*w**3 + 2035205*w**2 + 4051320*w + 2022480.
5*(w + 1)**2*(w + 636)**2
Factor 5*a**2 - 1520*a + 115520.
5*(a - 152)**2
Let -6*f**5/7 + 69*f**4/7 - 267*f**3/7 + 387*f**2/7 - 135*f/7 = 0. Calculate f.
0, 1/2, 3, 5
Let -d**2/3 + 943*d/3 = 0. Calculate d.
0, 943
Determine i, given that 69*i**2 + 333*i - 60 = 0.
-5, 4/23
Factor 2*t**5/11 + 20*t**4/11 + 34*t**3/11 + 16*t**2/11.
2*t**2*(t + 1)**2*(t + 8)/11
Factor 2*l**4/3 - 16*l**3/3 - 2*l**2/3 + 16*l/3.
2*l*(l - 8)*(l - 1)*(l + 1)/3
Factor 4*c**2 + 100*c - 1400.
4*(c - 10)*(c + 35)
Find q, given that 4*q**4 + 324*q**3 - 4696*q**2 + 17904*q - 13536 = 0.
-94, 1, 6
Factor 3*l**3 + 894*l**2 + 891*l.
3*l*(l + 1)*(l + 297)
Find p, given that -5*p**4 + 130*p**3 + 1440*p**2 + 4590*p + 4725 = 0.
-3, 35
Suppose -3*b**4 - 30*b**3 - 99*b**2 - 108*b = 0. What is b?
-4, -3, 0
Factor -d**4/4 - 17*d**3/4 - 63*d**2/4 + 81*d/4.
-d*(d - 1)*(d + 9)**2/4
Factor -7*j**2 + 6*j + 1.
-(j - 1)*(7*j + 1)
Factor 2*p**4/5 - 54*p**3/5 + 48*p**2/5 + 104*p/5.
2*p*(p - 26)*(p - 2)*(p + 1)/5
What is w in 4*w**4 + 60*w**3 + 44*w**2 - 780*w = 0?
-13, -5, 0, 3
Factor -3*a**4/7 + 24*a**3/7 - 9*a**2 + 54*a/7.
-3*a*(a - 3)**2*(a - 2)/7
Factor -8*u**4 + 22*u**3 - 18*u**2 + 2*u + 2.
-2*(u - 1)**3*(4*u + 1)
Determine f so that 650*f**5 - 2245*f**4 + 2865*f**3 - 1625*f**2 + 385*f - 30 = 0.
2/13, 3/10, 1
Factor -3*r**2/8 - 333*r/4 + 168.
-3*(r - 2)*(r + 224)/8
Factor 15*k**3 + 215*k**2 - 980.
5*(k - 2)*(k + 14)*(3*k + 7)
What is d in -d**5 + 12*d**4 - d**3 - 162*d**2 - 268*d - 120 = 0?
-2, -1, 6, 10
Solve -3*a**4 + 864*a**3 - 82944*a**2 + 2654208*a = 0 for a.
0, 96
Determine j, given that 741*j**3/4 + 370*j**2 - j = 0.
-2, 0, 2/741
Suppose 2*q**2/17 + 392*q/17 + 19208/17 = 0. What is q?
-98
Solve 4*i**2 + 16*i + 12 = 0 for i.
-3, -1
Let -6*h**4/13 - 14*h**3/13 + 86*h**2/13 + 246*h/13 + 72/13 = 0. What is h?
-3, -1/3, 4
Let -50*j**4 + 620*j**3 - 2442*j**2 + 3224*j - 1352 = 0. Calculate j.
1, 26/5
Determine s so that 2*s**2 - 3804*s - 11430 = 0.
-3, 1905
Let 6*j**3 + 69*j**2 + 174*j - 105 = 0. What is j?
-7, -5, 1/2
Factor -5*c**2 + 655*c.
-5*c*(c - 131)
Determine g so that -4*g**3 + 408*g**2 - 10800*g + 20000 = 0.
2, 50
Factor -s**4/3 - s**3 + s**2 + 11*s/3 + 2.
-(s - 2)*(s + 1)**2*(s + 3)/3
Factor -36*s**2 - 64*s + 16.
-4*(s + 2)*(9*s - 2)
Factor 3*j**2 + 70*j - 48.
(j + 24)*(3*j - 2)
Factor 82*b**3/7 - 80*b**2/7 - 2*b/7.
2*b*(b - 1)*(41*b + 1)/7
What is k in k**5 - 9*k**4 + 125*k**3/4 - 52*k**2 + 165*k/4 - 25/2 = 0?
1, 2, 5/2
Determine v so that -2*v**4/7 - 110*v**3/7 + 6*v**2/7 + 326*v/7 - 220/7 = 0.
-55, -2, 1
Let 4*r**2/9 - 4*r/3 + 8/9 = 0. What is r?
1, 2
Determine j so that -j**3 - 4*j**2 - 3*j = 0.
-3, -1, 0
Find b, given that 5*b**5 - 50*b**4 + 40*b**3 + 50*b**2 - 45*b = 0.
-1, 0, 1, 9
Factor -4*j**2 - 1564*j.
-4*j*(j + 391)
Factor 5*f**2 - 200*f - 645.
5*(f - 43)*(f + 3)
Find v, given that -v**5 - 3*v**4 + v**3 + 11*v**2 + 12*v + 4 = 0.
-2, -1, 2
Factor -3*c**2/5 - 678*c/5 - 135.
-3*(c + 1)*(c + 225)/5
Factor z**5/3 - 395*z**4 + 116821*z**3 + 351649*z**2/3.
z**2*(z - 593)**2*(z + 1)/3
Determine a, given that 8*a**5 + 38*a**4 + 14*a**3 - 46*a**2 - 22*a + 8 = 0.
-4, -1, 1/4, 1
Determine d so that -27*d**4/7 - 2502*d**3/7 - 3999*d**2/7 + 8700*d/7 - 468 = 0.
-91, -3, 2/3
Solve -3*r**2 + 297*r - 294 = 0.
1, 98
Find g, given that 2*g**4/3 - 10*g**3/3 + 6*g**2 - 14*g/3 + 4/3 = 0.
1, 2
Factor 5*y**3/2 - 147*y**2/2 + 29*y.
y*(y - 29)*(5*y - 2)/2
Factor v**3 - 19*v**2 + 86*v - 104.
(v - 13)*(v - 4)*(v - 2)
Suppose -5*o**3 + 350*o**2 + 715*o + 360 = 0. What is o?
-1, 72
Solve 4*r**5 + 8*r**4 - 76*r**3 - 80*r**2 = 0 for r.
-5, -1, 0, 4
Factor t**2/2 - 22*t + 242.
(t - 22)**2/2
Let -14*g**4 + 40*g**3 + 6*g**2 - 56*g - 8 = 0. Calculate g.
-1, -1/7, 2
Let -4*p**5/9 + 2*p**4/3 + 20*p**3/3 + 50*p**2/9 = 0. What is p?
-5/2, -1, 0, 5
Determine i, given that 4*i**4 - 28*i**3 - 12*i**2 + 252*i - 216 = 0.
-3, 1, 3, 6
Suppose 3*f**4/4 - 7*f**3/2 + f**2/4 + 13*f/2 + 2 = 0. What is f?
-1, -1/3, 2, 4
Factor -7*r**4/4 + 29*r**3/2 - 65*r**2/4 + 7*r/2.
-r*(r - 7)*(r - 1)*(7*r - 2)/4
Let j**3/5 + 23*j**2 = 0. What is j?
-115, 0
Solve -2*h**3/21 + 58*h**2/21 - 110*h/21 + 18/7 = 0.
1, 27
Determine q, given that q**3/2 - 7*q**2/2 - 115*q - 300 = 0.
-10, -3, 20
Solve -i**5/3 + i**4/3 + 2*i**3 - 4*i**2/3 - 8*i/3 = 0 for i.
-2, -1, 0, 2
Find h such that -4*h**4/3 - 43*h**3 - 1264*h**2/3 - 1148*h - 784/3 = 0.
-14, -4, -1/4
Factor 3*c**3 - 15*c**2 + 18*c.
3*c*(c - 3)*(c - 2)
What is y in -5*y**2/2 + 140*y - 2115/2 = 0?
9, 47
Factor z**5 - 3*z**4 - 18*z**3 + 86*z**2 - 111*z + 45.
(z - 3)**2*(z - 1)**2*(z + 5)
Find f such that 5*f**5/3 + 40*f**4/3 + 20*f**3/3 - 110*f**2/3 - 25*f/3 + 70/3 = 0.
-7, -2, -1, 1
Find p such that -p**2/7 - 576*p/7 - 82944/7 = 0.
-288
Factor 2*w**2/11 + 34*w/11 + 60/11.
2*(w + 2)*(w + 15)/11
Find r, given that r**4/4 - 5*r**3/4 + 3*r**2/4 + 9*r/4 = 0.
-1, 0, 3
Find p such that -p**2 + 4580*p - 5244100 = 0.
2290
Factor s**3/4 + 49*s**2/2 - s/4 - 49/2.
(s - 1)*(s + 1)*(s + 98)/4
Suppose 2*g**5/3 + 2*g**4/3 - 64*g**3/3 - 64*g**2/3 + 512*g/3 + 512/3 = 0. Calculate g.
-4, -1, 4
Factor c**2 - 2*c + 1.
(c - 1)**2
Find w such that 4*w**3 + 28*w**2 - 240*w = 0.
-12, 0, 5
Find x such that 5*x**4 - 110*x**3 + 440*x**2 - 210*x - 765 = 0.
-1, 3, 17
Let -4*b**5 - 96*b**4 + 2636*b**3 - 15720*b**2 + 23936*b - 10752 = 0. Calculate b.
-42, 1, 8
Suppose f**5 - 188*f**4 + 372*f**3 = 0. What is f?
0, 2, 186
Solve -q**4/5 + 2*q**3/5 - 2*q/5 + 1/5 = 0 for q.
-1, 1
Factor 52*f**4/3 + 140*f**3/3 - 136*f**2 - 1648*f/3 - 1376/3.
4*(f + 2)**3*(13*f - 43)/3
Factor -141*b**2/2 + 15*b/2.
-3*b*(47*b - 5)/2
Factor -v**3/8 - 29*v**2/8 + 621*v/8 + 18225/8.
-(v - 25)*(v + 27)**2/8
Factor -t**3/2 - 707*t**2/3 + 315*t/2 + 236/3.
-(t - 1)*(t + 472)*(3*t + 1)/6
Solve -2*f**3 - 1014*f**2 - 2022*f - 1010 = 0.
-505, -1
Solve -f**3/8 - 41*f**2/4 + 85*f/8 + 83/4 = 0 for f.
-83, -1, 2
Factor -18*s**2 - 104*s + 24.
-2*(s + 6)*(9*s - 2)
Suppose -3*l**5 + 267*l**4 + 1389*l**3 + 1965*l**2 + 846*l = 0. What is l?
-3, -1, 0, 94
Suppose -3*g**2 - 117*g + 120 = 0. Calculate g.
-40, 1
Determine b, given that 2*b**2 + 374*b + 740 = 0.
-185, -2
Find o such that -o**2/11 + 40*o/11 - 175/11 = 0.
5, 35
Factor -24*x**4 + 129*x**3 - 141*x**2 + 36*x.
-3*x*(x - 4)*(x - 1)*(8*x - 3)
Factor -2*l**2/7 - 20660*l/7 - 53354450/7.
-2*(l + 5165)**2/7
Determine u, given that 15*u**3 - 5*u**2 - 280*u/3 - 80 = 0.
-4/3, 3
Factor -52654322*z**2/11 + 41048*z/11 - 8/11.
-2*(5131*z - 2)**2/11
What is g in g**2/4 - 3*g - 7 = 0?
-2, 14
Suppose j**4/3 + j**3 - 34*j**2/3 + 16*j = 0. What is j?
-8, 0, 2, 3
Determine s so that 4*s**2/9 + 336*s + 3020/9 = 0.
-755, -1
Determine d, given that 5*d**3 - 10*d**2 - 5*d + 10 = 0.
-1, 1, 2
Factor -i**2/3 + 359*i.
-i*(i - 1077)/3
Factor -3*w**3/5 + 9*w**2/5 + 18*w/5 - 24/5.
-3*(w - 4)*(w - 1)*(w + 2)/5
Suppose -720*i**3 + 1488*i**2 - 484*i/5 + 8/5 = 0. What is i?
1/30, 2
Factor -t**2/9 + 29*t/9 - 6.
-(t - 27)*(t - 2)/9
Suppose 33*g**2/5 + 1248*g/5 - 228/5 = 0. Calculate g.
-38, 2/11
Solve -q**4/2 + q**3/2 + 3*q**2 = 0 for q.
-2, 0, 3
Factor d**5/8 + d**4/2 - 21*d**3/8 + d**2/2 + 7*d/2.
d*(d - 2)**2*(d + 1)*(d + 7)/8
Factor -w**2 + 3*w.
-w*(w - 3)
Solve -j**5/7 + 268*j**4/7 - 16848*j**3/7 - 149040*j**2/7 - 228528*j/7 = 0 for j.
-6, -2, 0, 138
Factor -2*i**4 - 136*i**3 - 2652*i**2 - 10664*i + 13454.
-2*(i - 1)*(i + 7)*(i + 31)**2
Find p, given that 2*p**5 - 30*p**4 - 246*p**3 - 146*p**2 + 420*p = 0.
-5, -2, 0, 1, 21
Factor 3*q**5 + 66*q**4 + 207*q**3 - 1716*q**2 + 2028*q.
3*q*(q - 2)**2*(q + 13)**2
Factor 5*f**2 + 50*f - 195.
5*(f - 3)*(f + 13)
Factor