 - 80*v**2 + 400*v.
4*v*(v - 10)**2
Find w, given that -3*w**4/5 - 6*w**3/5 + 9*w**2/5 + 24*w/5 + 12/5 = 0.
-2, -1, 2
Solve 2*c**4/3 - 54*c**3 + 306*c**2 - 450*c = 0 for c.
0, 3, 75
Factor -4*o**4 + 28*o**3 - 20*o**2 - 28*o + 24.
-4*(o - 6)*(o - 1)**2*(o + 1)
Factor -5*n**2 - 3090*n - 477405.
-5*(n + 309)**2
Suppose -x**3/7 + 263*x**2/7 + 529*x/7 + 265/7 = 0. Calculate x.
-1, 265
Factor -5*z**3/4 - 655*z**2/4 - 645*z/2.
-5*z*(z + 2)*(z + 129)/4
Solve 2*g**4/11 - 6*g**3/11 - 40*g**2/11 + 96*g/11 + 128/11 = 0.
-4, -1, 4
Factor -x**2 + 226*x - 12769.
-(x - 113)**2
Factor m**3/5 + 402*m**2/5 + 7749*m - 67240.
(m - 8)*(m + 205)**2/5
Find o such that 5*o**2 - 17890*o + 16002605 = 0.
1789
Find r, given that -2*r**4 - 2*r**3 + 14*r**2 + 2*r - 12 = 0.
-3, -1, 1, 2
Factor -7*d**3 + 89*d**2 + 1202*d + 336.
-(d - 21)*(d + 8)*(7*d + 2)
Factor -i**3/2 + 61*i**2/2 - 480*i + 450.
-(i - 30)**2*(i - 1)/2
Suppose -10*k**2 - 1325*k = 0. What is k?
-265/2, 0
Determine h, given that h**2/11 - 1175*h/11 - 214 = 0.
-2, 1177
Suppose -z**5 - 69*z**4 + 216*z**3 - 4*z**2 - 288*z = 0. Calculate z.
-72, -1, 0, 2
Solve 2*p**3/13 + 60*p**2/13 + 600*p/13 + 2000/13 = 0 for p.
-10
Factor 3*w**3 - 14427*w**2 + 23126481*w - 12357249681.
3*(w - 1603)**3
Factor 2*s**2/5 - 26*s/5 + 72/5.
2*(s - 9)*(s - 4)/5
Determine s, given that -8*s**2/9 - 220*s/9 + 472/9 = 0.
-59/2, 2
What is v in -2*v**3/7 - 2*v**2 + 2*v/7 + 2 = 0?
-7, -1, 1
Factor 10*h**2 + 52*h/3 - 16/3.
2*(h + 2)*(15*h - 4)/3
Factor -j**5/2 - 12*j**4 - 72*j**3.
-j**3*(j + 12)**2/2
Factor d**5/3 - d**4/3 - 2*d**3/3 + 2*d**2/3 + d/3 - 1/3.
(d - 1)**3*(d + 1)**2/3
Find c such that 18*c**4/13 - 17626*c**3/13 + 332746*c**2 - 5264574*c/13 + 956484/13 = 0.
2/9, 1, 489
Factor -12*c**2 + 75*c/2 - 27.
-3*(c - 2)*(8*c - 9)/2
Factor 4*r**3 + 1160*r**2 + 84100*r.
4*r*(r + 145)**2
Let 5*t**5 + 65*t**4 + 220*t**3 + 160*t**2 = 0. Calculate t.
-8, -4, -1, 0
Factor -2*u**3/7 - 8*u**2/7.
-2*u**2*(u + 4)/7
Factor 2*r**2 + 1024*r + 131072.
2*(r + 256)**2
Solve 3*w**2/8 + 75*w/2 + 1875/2 = 0 for w.
-50
Factor -3*q**3/4 - 267*q**2/4 + 543*q/4 - 273/4.
-3*(q - 1)**2*(q + 91)/4
Factor -2*f**4/3 - 16*f**3/3 - 16*f**2 - 64*f/3 - 32/3.
-2*(f + 2)**4/3
Factor 35*z**3 + 29060*z**2 + 6036175*z + 1722250.
5*(z + 415)**2*(7*z + 2)
Suppose 4*i**5/15 + 34*i**4/15 + 64*i**3/15 - 104*i**2/15 - 64*i/3 - 128/15 = 0. What is i?
-4, -2, -1/2, 2
Factor -12*h**2 + 11*h + 1.
-(h - 1)*(12*h + 1)
Factor o**5 - 392*o**4 + 38022*o**3 + 77224*o**2 + 38809*o.
o*(o - 197)**2*(o + 1)**2
Find s such that 2*s**4 - 154*s**3 + 736*s**2 - 1160*s + 576 = 0.
1, 2, 72
Let -z**3 + 11*z**2 - 40*z + 48 = 0. What is z?
3, 4
Let 7*f**4 + 12*f**3 - 25*f**2 + 6*f = 0. Calculate f.
-3, 0, 2/7, 1
Suppose 2*a**4/15 + 4*a**3/15 - 8*a**2/15 - 4*a/15 + 2/5 = 0. Calculate a.
-3, -1, 1
Let -2*p**3/17 + 64*p**2/17 + 142*p/17 - 12 = 0. What is p?
-3, 1, 34
Factor -5*d**2 + 8735*d - 17450.
-5*(d - 1745)*(d - 2)
Let 5*x**2 - 5*x = 0. What is x?
0, 1
Suppose -m**2 - 3*m + 4 = 0. Calculate m.
-4, 1
Factor -4*t**2 + 24*t + 28.
-4*(t - 7)*(t + 1)
Factor 2*s**2 + 116*s + 1682.
2*(s + 29)**2
Factor 6*u**2/17 - 1816*u/17 + 1208/17.
2*(u - 302)*(3*u - 2)/17
Factor y**5/2 - 4*y**4 + 9*y**3 - 8*y**2 + 5*y/2.
y*(y - 5)*(y - 1)**3/2
Solve 4*o**3 - 100*o**2 + 608*o - 1088 = 0 for o.
4, 17
Let -250*z**5/11 + 1050*z**4/11 + 1180*z**3/11 - 684*z**2/11 - 1026*z/11 - 270/11 = 0. What is z?
-3/5, 1, 5
What is f in 3*f**2/7 - 30*f/7 - 72/7 = 0?
-2, 12
Factor -x**5/7 - x**4 + 8*x**3/7.
-x**3*(x - 1)*(x + 8)/7
Determine o so that 4*o**5 + 20*o**4 - 8*o**3 - 168*o**2 - 252*o - 108 = 0.
-3, -1, 3
What is b in -6*b**4 - 122*b**3 - 780*b**2 - 1368*b + 1296 = 0?
-9, -6, 2/3
Factor -2*m**3/9 + 10*m**2/9 + 268*m/9 + 160/3.
-2*(m - 15)*(m + 2)*(m + 8)/9
Determine u so that -u**2/3 - 56*u - 324 = 0.
-162, -6
Factor -t**5 - 2*t**4 - t**3.
-t**3*(t + 1)**2
Find l such that l**3 + 16*l**2 - 35*l + 18 = 0.
-18, 1
Factor 2*t**3 - 23*t**2 + 47*t - 18.
(t - 9)*(t - 2)*(2*t - 1)
What is b in -b**3/2 + 665*b**2/8 - 2003*b/4 + 120 = 0?
1/4, 6, 160
Find u, given that -343*u**3/3 + 196*u**2/3 - 35*u/3 + 2/3 = 0.
1/7, 2/7
Factor 14*i**2 + 1458*i - 1260.
2*(i + 105)*(7*i - 6)
Factor -620*t**2 - 1855*t + 15.
-5*(t + 3)*(124*t - 1)
Factor -u**4 - 7*u**3 + 22*u**2 + 28*u - 72.
-(u - 2)**2*(u + 2)*(u + 9)
Factor -2*f**5 - 24*f**4 - 64*f**3.
-2*f**3*(f + 4)*(f + 8)
Solve z**2/4 + 89*z/4 + 345 = 0 for z.
-69, -20
Solve 2*q**2/9 + 202*q/3 - 840 = 0.
-315, 12
Solve 480*v**2 - 4*v = 0 for v.
0, 1/120
Factor j**2/3 + 9*j.
j*(j + 27)/3
Find a, given that 4*a**2 - 360*a + 3200 = 0.
10, 80
Suppose 4*p**5 - 16*p**4 + 12*p**3 + 16*p**2 - 16*p = 0. Calculate p.
-1, 0, 1, 2
Find s such that -2*s**5/15 + 196*s**3/15 - 328*s**2/5 + 278*s/3 - 40 = 0.
-12, 1, 5
Factor -4*d**2 - 1288*d - 103684.
-4*(d + 161)**2
Factor 3*n**3 - 42*n**2 + 39*n.
3*n*(n - 13)*(n - 1)
Solve i**3/2 + 15*i**2 + 96*i - 256 = 0 for i.
-16, 2
Factor 14*d**3 + 206*d**2 + 556*d - 176.
2*(d + 4)*(d + 11)*(7*d - 2)
Let 3*z**3 + 741*z**2 + 45384*z - 46128 = 0. What is z?
-124, 1
Solve -q**4/5 + 4*q**3 - 118*q**2/5 + 36*q - 81/5 = 0 for q.
1, 9
Let 9*k**3/4 - 3*k**2 - 39*k/4 - 9/2 = 0. What is k?
-1, -2/3, 3
Factor -4*d**2 + 1588*d.
-4*d*(d - 397)
Factor 2*i**4 - 42*i**3 + 270*i**2 - 486*i.
2*i*(i - 9)**2*(i - 3)
Factor z**2/2 + 95*z - 191/2.
(z - 1)*(z + 191)/2
Suppose -3*q**2 + 39*q + 42 = 0. Calculate q.
-1, 14
Find t such that t**3/2 - 13*t**2/2 - 845*t/2 - 6591/2 = 0.
-13, 39
Let 3*o**5 - 24*o**4 + 72*o**3 - 102*o**2 + 69*o - 18 = 0. Calculate o.
1, 2, 3
Determine j so that -4*j**3/7 + 6168*j**2/7 - 3170352*j/7 + 543186976/7 = 0.
514
Let 3*x**2/8 + 291*x/2 - 585/2 = 0. What is x?
-390, 2
Factor p**5/5 - 8*p**4/5 + 22*p**3/5 - 24*p**2/5 + 9*p/5.
p*(p - 3)**2*(p - 1)**2/5
Find h such that 4*h**4 + 5768*h**3 + 2073588*h**2 - 4164496*h + 2085136 = 0.
-722, 1
Factor -5*x**4/3 + 155*x**3/3 - 295*x**2/3 + 145*x/3.
-5*x*(x - 29)*(x - 1)**2/3
Factor 5*g**5/6 - 935*g**4/6 - 1895*g**3/3 - 2855*g**2/3 - 3815*g/6 - 955/6.
5*(g - 191)*(g + 1)**4/6
Determine n, given that 2*n**3/9 + 2*n**2 - 20*n/9 = 0.
-10, 0, 1
Factor h**4/8 + 17*h**3/8 + 15*h**2/8 - 17*h/8 - 2.
(h - 1)*(h + 1)**2*(h + 16)/8
Factor -3*f**2 - 6*f + 72.
-3*(f - 4)*(f + 6)
Factor 3*g**3/7 + 75*g**2/7 + 366*g/7 + 456/7.
3*(g + 2)*(g + 4)*(g + 19)/7
Let j**3 + 18*j**2 - 165*j + 250 = 0. What is j?
-25, 2, 5
Factor 5*a**3/4 + 127*a**2/4 - 20*a - 13.
(a - 1)*(a + 26)*(5*a + 2)/4
Suppose 2*g**4/7 - 328*g**3/7 + 18408*g**2/7 - 406720*g/7 + 3075200/7 = 0. What is g?
20, 62
Factor -2*o**4/5 + 32*o**3/5.
-2*o**3*(o - 16)/5
Factor 2*c**2/5 + 44*c/5 + 114/5.
2*(c + 3)*(c + 19)/5
What is r in -5*r**4 + 45*r**3 + 115*r**2 - 45*r - 110 = 0?
-2, -1, 1, 11
Find p, given that 2*p**2 + 972*p + 118098 = 0.
-243
Factor -v**2/3 - 478*v/3 - 57121/3.
-(v + 239)**2/3
Solve 2*f**5/5 - 16*f**4/5 + 18*f**3/5 + 44*f**2/5 - 8*f - 48/5 = 0.
-1, 2, 6
Factor 4*x**2 - 68*x + 64.
4*(x - 16)*(x - 1)
Factor u**2/2 + 161*u/2 + 159.
(u + 2)*(u + 159)/2
Let 2*f**4/5 - 36*f**3/5 + 166*f**2/5 - 132*f/5 = 0. What is f?
0, 1, 6, 11
Factor -2*f**4/3 + 1178*f**3/3 - 1174*f**2 + 3518*f/3 - 1172/3.
-2*(f - 586)*(f - 1)**3/3
Find m, given that -4*m**3 + 40*m**2 - 92*m + 56 = 0.
1, 2, 7
Determine b so that 3*b**4 + 80*b**3 + 123*b**2 - 50*b = 0.
-25, -2, 0, 1/3
Factor -4*b**4 - 8*b**3 + 108*b**2 - 208*b + 112.
-4*(b - 2)**2*(b - 1)*(b + 7)
Let -2*n**5/3 - 16*n**4/3 - 10*n**3 + 8*n**2/3 + 40*n/3 = 0. What is n?
-5, -2, 0, 1
Find r, given that -2*r**5 - 26*r**4 - 96*r**3 - 72*r**2 = 0.
-6, -1, 0
Find y, given that -y**4/10 + 11*y**3/10 + 51*y**2/10 - 131*y/10 + 7 = 0.
-5, 1, 14
Factor d**2/4 - 1083*d/4 + 1081/2.
(d - 1081)*(d - 2)/4
Factor -2*d**4/7 - 20*d**3/7 - 74*d**2/7 - 120*d/7 - 72/7.
-2*(d + 2)**2*(d + 3)**2/7
Solve -74*s**2/3 - 76*s/3 - 2/3 = 0 for s.
-1, -1/37
Let 2*g**3/5 + 44*g**2 - 446*g/5 + 224/5 = 0. Calculate g.
-112, 1
Suppose 8*g**2/9 + 58*g/9 + 14/9 = 0. Calculate g.
-7, -1/4
Let b**4/5 - 9*b**3 + 563*b**2/5 - 2139*b/5 + 324 = 0. Calculate b.
1, 5, 12, 27
Find q, given that -5*q**5/4 - 135*q**4/4 + 305*q**3/4 + 415*q**2/4 - 150*q - 145 = 0.
-29, -1, 2
Determine n, given that -n**2/4 - 55*n/2 - 3025/4 = 0.
-55
Find i, given that -2*i**5/7 + 10*i**4 + 74*i**3/7 - 10*i**2 - 