r -2*d**3/3 + 566*d**2 + 2272*d + 6824/3.
-2*(d - 853)*(d + 2)**2/3
Factor -2*p**4 - 122*p**3 - 2394*p**2 - 13230*p + 37044.
-2*(p - 2)*(p + 21)**3
Determine c so that c**3 - 47*c**2 + 575*c - 529 = 0.
1, 23
Factor n**3 - 384*n**2.
n**2*(n - 384)
What is b in 2*b**3/5 - 16*b**2 - 584*b/5 + 1472/5 = 0?
-8, 2, 46
What is j in -252*j**5 - 12*j**4 + 164*j**3 - 68*j**2 + 8*j = 0?
-1, 0, 2/7, 1/3
Suppose 2*z**2/5 - 1728*z + 1866240 = 0. Calculate z.
2160
Let 5*z**3 - 170*z**2 - 5*z + 170 = 0. Calculate z.
-1, 1, 34
Find p such that 25*p**5 + 3090*p**4 - 4390*p**3 - 1840*p**2 + 4365*p - 1250 = 0.
-125, -1, 2/5, 1
Suppose 196*v**5/9 - 2716*v**4/9 - 3331*v**3/9 - 434*v**2/9 - 5*v/3 = 0. What is v?
-1, -1/14, 0, 15
Solve 5*d**3 - 280*d**2 + 540*d = 0 for d.
0, 2, 54
Factor q**5 - 5*q**4 + 10*q**3 - 10*q**2 + 5*q - 1.
(q - 1)**5
Determine d, given that -4*d**2/5 - 8*d + 60 = 0.
-15, 5
Suppose 204*n**4 - 212*n**3 - 1012*n**2 - 572*n + 24 = 0. What is n?
-1, 2/51, 3
Let -25*z**2/6 + 145*z/3 + 20 = 0. What is z?
-2/5, 12
Determine h so that h**2 + 2024*h + 2023 = 0.
-2023, -1
Factor 2*g**3 - 86*g**2 + 966*g - 882.
2*(g - 21)**2*(g - 1)
Factor -4*w**5/7 - 332*w**4/7 - 972*w**3/7 - 964*w**2/7 - 320*w/7.
-4*w*(w + 1)**3*(w + 80)/7
Determine r, given that -5*r**4 + 10*r**3 + 20*r**2 - 40*r = 0.
-2, 0, 2
Factor -3*m**2 + 711*m - 708.
-3*(m - 236)*(m - 1)
Factor 26912*f**2/15 + 464*f/15 + 2/15.
2*(116*f + 1)**2/15
Factor 6*v**2 + 9080*v - 6056.
2*(v + 1514)*(3*v - 2)
Factor -d**4/3 - d**3/3.
-d**3*(d + 1)/3
Find y such that 4*y**5 - 36*y**4 + 48*y**3 + 176*y**2 - 192*y = 0.
-2, 0, 1, 4, 6
Factor 3*b**3 + 117*b**2 + 225*b - 20625.
3*(b - 11)*(b + 25)**2
Determine p, given that p**3/10 + 723*p**2/10 - 145*p = 0.
-725, 0, 2
Determine m so that 4*m**5 + 18*m**4 + 26*m**3 + 12*m**2 = 0.
-2, -3/2, -1, 0
Factor 2*c**2/15 + 1438*c/15 + 1436/15.
2*(c + 1)*(c + 718)/15
Factor 2*j**3 - 3394*j**2 + 1441600*j - 1438208.
2*(j - 848)**2*(j - 1)
Factor 3*h**3 + 21*h**2 + 48*h + 36.
3*(h + 2)**2*(h + 3)
Factor i**2/2 - 51*i + 101/2.
(i - 101)*(i - 1)/2
Solve 2*k**3/5 - 848*k**2/5 + 338*k - 844/5 = 0.
1, 422
Determine a so that -a**2/8 + 173*a/4 - 29929/8 = 0.
173
Determine v, given that -2*v**2 + 78*v = 0.
0, 39
Let 2*p**2/13 - 872*p/13 + 95048/13 = 0. What is p?
218
Factor 3*u**5 + 18*u**4 + 36*u**3 + 30*u**2 + 9*u.
3*u*(u + 1)**3*(u + 3)
Solve -16*r**2/13 + 14*r/13 + 2/13 = 0 for r.
-1/8, 1
Factor 4*r**2 + 28*r + 40.
4*(r + 2)*(r + 5)
Factor 3*c**2/5 + 3*c - 198/5.
3*(c - 6)*(c + 11)/5
Solve 3*o**3 - 18*o**2 + 24*o = 0.
0, 2, 4
Factor 4*q**3 - 72*q**2 + 132*q - 64.
4*(q - 16)*(q - 1)**2
Let j**3 - 32*j**2/3 - 47*j/3 - 4 = 0. Calculate j.
-1, -1/3, 12
Factor 400*b**3 + 1370*b**2 + 904*b + 168.
2*(5*b + 2)**2*(8*b + 21)
Determine s, given that -4*s**3 - 259*s**2 - 439*s + 126 = 0.
-63, -2, 1/4
Determine n, given that -2*n**2/9 + 20*n/9 = 0.
0, 10
Let 3*h**4 - 414*h**3 + 819*h**2 - 408*h = 0. Calculate h.
0, 1, 136
Find y such that -y**3 + 11*y**2 + 120*y + 108 = 0.
-6, -1, 18
Find j, given that -5*j**2/3 + 370*j + 1115/3 = 0.
-1, 223
Factor -3*i**4 - 9*i**3 - 6*i**2.
-3*i**2*(i + 1)*(i + 2)
Find b such that 2*b**2 - 1590*b = 0.
0, 795
Find m, given that -3*m**4/4 - 36*m**3 - 393*m**2/4 + 144*m + 405 = 0.
-45, -3, -2, 2
Factor 2*b**5/7 - 6*b**4/7 - 54*b**3/7 + 270*b**2/7 - 324*b/7.
2*b*(b - 3)**3*(b + 6)/7
What is f in -5*f**5 - 5*f**4 + 25*f**3 + 5*f**2 - 40*f + 20 = 0?
-2, 1
Solve -150*l**3 - 905*l**2 - 1105*l + 210 = 0.
-21/5, -2, 1/6
Factor -2*j**3/13 + 278*j**2/13 - 9798*j/13 + 9522/13.
-2*(j - 69)**2*(j - 1)/13
Find g, given that -g**3 - 5*g**2 + g + 5 = 0.
-5, -1, 1
Solve 12*n**5 + 20980*n**4 + 9173504*n**3 + 3055504*n**2 = 0.
-874, -1/3, 0
Let r**3/6 + 4*r**2 + 21*r/2 = 0. Calculate r.
-21, -3, 0
Determine g, given that -2*g**3/7 - 1044*g**2/7 + 2*g/7 + 1044/7 = 0.
-522, -1, 1
Factor s**5/6 + 5*s**4/6 + s**3/3 - 4*s**2/3.
s**2*(s - 1)*(s + 2)*(s + 4)/6
Factor -2*w**3/3 - 238*w**2/3 - 6710*w/3 + 7442.
-2*(w - 3)*(w + 61)**2/3
Let -g**4/4 - 24*g**3 - 1199*g**2/2 - 1128*g - 2209/4 = 0. What is g?
-47, -1
Determine s, given that s**3/2 - s**2 + s/2 = 0.
0, 1
What is d in -5*d**2 - 3630*d - 658845 = 0?
-363
Find f, given that f**2/5 + 78*f/5 - 79/5 = 0.
-79, 1
Determine c so that 3*c**2/2 + 105*c/2 + 429 = 0.
-22, -13
Solve p**2/10 - 37*p/5 - 231/10 = 0.
-3, 77
Factor -4*b**2/9 + 244*b/9 + 256/3.
-4*(b - 64)*(b + 3)/9
Factor 2*j**4 + 86*j**3 - 564*j**2 + 1160*j - 784.
2*(j - 2)**3*(j + 49)
Factor 4*c**3/3 + 148*c**2 - 5760*c + 146432/3.
4*(c - 16)**2*(c + 143)/3
Find f, given that f**4/3 + 61*f**3/3 - 231*f**2 + 1199*f/3 - 568/3 = 0.
-71, 1, 8
Find a, given that -2*a**4/11 - 92*a**3/11 + 104*a**2/11 + 476*a/11 + 282/11 = 0.
-47, -1, 3
What is v in -v**3 + 5*v**2 + 1678*v + 1672 = 0?
-38, -1, 44
What is w in 2*w**5/7 + 2*w**4/7 - 4*w**3/7 = 0?
-2, 0, 1
Determine v, given that 4*v**5 - 48*v**3 + 8*v**2 + 108*v - 72 = 0.
-3, -2, 1, 3
Find o such that -16*o**2/3 + 418*o/3 - 52/3 = 0.
1/8, 26
What is a in -3136*a**4 - 2016*a**3 + 1020*a**2 - 100*a = 0?
-1, 0, 5/28
Solve -81*u**4/7 - 117*u**3/7 - 40*u**2/7 - 4*u/7 = 0.
-1, -2/9, 0
Find z, given that -z**3/3 - 13*z**2/3 - 16*z - 12 = 0.
-6, -1
Solve -2*i**4/3 - 8*i**3/3 - 10*i**2/3 - 4*i/3 = 0 for i.
-2, -1, 0
Determine s, given that 2*s**2/9 + 692*s/3 + 59858 = 0.
-519
Suppose 2*g**2/13 - 4*g/13 + 2/13 = 0. Calculate g.
1
What is r in 12*r**5 + 20*r**4 + 8*r**3 = 0?
-1, -2/3, 0
Determine u, given that -2*u**4/3 + 10*u**3 = 0.
0, 15
Determine h, given that 2*h**2/7 + 62*h/7 + 60/7 = 0.
-30, -1
Determine u, given that 3*u**5/4 + 105*u**4/4 + 381*u**3/4 + 279*u**2/4 = 0.
-31, -3, -1, 0
Factor u**3 - 6115*u**2 + 9351363*u - 9345249.
(u - 3057)**2*(u - 1)
Factor 2*d**3/9 + 52*d**2/9 - 110*d/9 + 56/9.
2*(d - 1)**2*(d + 28)/9
Suppose 3*t**2 + 93*t - 96 = 0. What is t?
-32, 1
Let -10*p**5 + 35*p**4 + 5*p**3 - 75*p**2 + 45*p = 0. What is p?
-3/2, 0, 1, 3
Factor h**4 + 791*h**3 + 2367*h**2 + 2365*h + 788.
(h + 1)**3*(h + 788)
Solve -v**4/3 - v**3/3 + 4*v**2 - 4*v/3 - 16/3 = 0 for v.
-4, -1, 2
Factor 32*z**2/5 + 208*z/5 + 338/5.
2*(4*z + 13)**2/5
Suppose 2*d**3 + 142*d**2 + 2590*d + 2450 = 0. Calculate d.
-35, -1
Determine r so that r**5/4 - 55*r**4/4 - 237*r**3/4 + 55*r**2/4 + 59*r = 0.
-4, -1, 0, 1, 59
Let -3*u**5 + 60*u**4 + 132*u**3 = 0. What is u?
-2, 0, 22
Factor l**4 - 13*l**3 + 54*l**2 - 92*l + 56.
(l - 7)*(l - 2)**3
Determine q so that -15*q**5 + 25*q**4 + 655*q**3 + 95*q**2 - 5080*q - 1680 = 0.
-4, -1/3, 3, 7
Determine q, given that -5*q**2 - 70*q + 1375 = 0.
-25, 11
Factor 4*y**3 + 20*y**2 - 24*y.
4*y*(y - 1)*(y + 6)
Factor -2*d**2/5 - 654*d/5.
-2*d*(d + 327)/5
Suppose 40*q**5 - 15*q**4 - 120*q**3 - 35*q**2 + 30*q = 0. Calculate q.
-1, 0, 3/8, 2
Factor f**3 - 33*f**2 + 62*f.
f*(f - 31)*(f - 2)
Let 6*n**5 - 32*n**4 + 28*n**3 + 48*n**2 - 18*n = 0. What is n?
-1, 0, 1/3, 3
Determine v, given that 16*v**3/5 + 412*v**2/5 - 536*v/5 + 108/5 = 0.
-27, 1/4, 1
Factor -3*q**4 + 6*q**3 + 9*q**2 - 12*q - 12.
-3*(q - 2)**2*(q + 1)**2
Factor t**5 + 135*t**4 + 519*t**3 - 655*t**2.
t**2*(t - 1)*(t + 5)*(t + 131)
Find q, given that 2*q**5 + 218*q**4 - 670*q**3 + 230*q**2 + 668*q - 448 = 0.
-112, -1, 1, 2
Factor -2*k**3 - 2286*k**2 - 870966*k - 110612682.
-2*(k + 381)**3
Factor -50*b**2 - 2740*b - 37538.
-2*(5*b + 137)**2
Factor -r**2/4 - r + 77/4.
-(r - 7)*(r + 11)/4
Factor -2*y**2/13 - 262*y/13 - 20.
-2*(y + 1)*(y + 130)/13
What is t in 4*t**2 - 7852*t = 0?
0, 1963
Factor 5*h**4/3 - 55*h**3/3 + 60*h**2 - 60*h.
5*h*(h - 6)*(h - 3)*(h - 2)/3
Factor -o**3/7 - 2783*o**2/7 - 8342*o/7 - 5560/7.
-(o + 1)*(o + 2)*(o + 2780)/7
Determine t, given that -4*t**2 - 32*t - 60 = 0.
-5, -3
Factor y**2/7 - 6*y/7 + 5/7.
(y - 5)*(y - 1)/7
Factor -108*a**4 - 1836*a**3 - 10404*a**2 - 19652*a.
-4*a*(3*a + 17)**3
Find m such that -33*m**2 - 90*m + 27 = 0.
-3, 3/11
Factor a**2/2 + 12*a - 26.
(a - 2)*(a + 26)/2
Factor 2*z**3/3 - 100*z**2/3 + 1238*z/3 - 380.
2*(z - 30)*(z - 19)*(z - 1)/3
Factor -5*q**3 - 45*q**2 + 50*q.
-5*q*(q - 1)*(q + 10)
Determine o so that -2*o**2/9 + 28180*o/9 - 99264050/9 = 0.
7045
Determine q so that 2*q**2/9 - 112*q/3 + 110 = 0.
3, 165
Factor h**2 + 42*h + 441.
(h + 21)**2
Solve 2*q**4/3 - 28*q**3 + 314*q**2/3 - 128*q + 152/3 = 0.
1, 2, 38
Factor