 12*x**2 - 4*x = 0 for x.
-2, -1, 0, 1/4, 2
Determine f so that -f**2/2 + 132*f - 8712 = 0.
132
Factor c**3/5 - 41*c**2/5 + 88*c - 80.
(c - 20)**2*(c - 1)/5
Solve 3*i**2 - 498*i/5 = 0 for i.
0, 166/5
Solve -2*h**5 + 14*h**4 + 28*h**3 - 304*h**2 + 64*h + 1280 = 0 for h.
-4, -2, 4, 5
Let -150*l**3/7 + 746*l**2/7 - 580*l/7 - 16/7 = 0. Calculate l.
-2/75, 1, 4
Factor -i**2/9 - 38*i/9.
-i*(i + 38)/9
Solve -2*c**5/11 + 172*c**4/11 - 4184*c**3/11 + 21136*c**2/11 - 39680*c/11 + 25600/11 = 0 for c.
2, 40
Find q such that -50*q**5/17 + 1140*q**4/17 - 1838*q**3/17 - 1164*q**2/17 + 1528*q/17 - 336/17 = 0.
-1, 2/5, 2, 21
Let 2*k**3/17 + 12*k**2/17 - 14*k/17 = 0. Calculate k.
-7, 0, 1
What is z in z**2/4 - 57*z/4 + 98 = 0?
8, 49
Find j, given that 63*j**3 - 3*j**2 - 63*j + 3 = 0.
-1, 1/21, 1
Suppose n**3/6 - n**2/2 - 96*n - 286/3 = 0. Calculate n.
-22, -1, 26
Factor -1083*r**2/8 - 57*r/2 - 3/2.
-3*(19*r + 2)**2/8
What is h in -4*h**3 + 4040*h**2 - 4028*h - 8072 = 0?
-1, 2, 1009
Solve -1276*n**3/3 - 2560*n**2/3 - 16*n/3 = 0 for n.
-2, -2/319, 0
Determine u, given that 3*u**4 + 93*u**3 - 3*u**2 - 93*u = 0.
-31, -1, 0, 1
Suppose j**4/2 + 3*j**3 + 13*j**2/2 + 6*j + 2 = 0. Calculate j.
-2, -1
Let 22*r**5/9 + 136*r**4/9 + 266*r**3/9 + 176*r**2/9 + 8*r/3 = 0. What is r?
-3, -2, -1, -2/11, 0
Find k, given that 4*k**2 - 304*k + 1152 = 0.
4, 72
Factor u**3/3 - 118*u**2 + 1751*u/3 - 698.
(u - 349)*(u - 3)*(u - 2)/3
Factor 98*s**3 - 364*s**2 + 408*s - 144.
2*(s - 2)*(7*s - 6)**2
Factor -2*w**3/15 - 82*w**2/15 - 176*w/3 - 160/3.
-2*(w + 1)*(w + 20)**2/15
Find i such that 5*i**2 - 9650*i + 4656125 = 0.
965
Suppose 4*o**3 - 16*o = 0. Calculate o.
-2, 0, 2
What is u in u**3/3 + 7*u**2 + 21*u - 85/3 = 0?
-17, -5, 1
Suppose 10*j**3 - 6*j**2 - 304*j - 120 = 0. Calculate j.
-5, -2/5, 6
Solve -4*f**4/21 + 62*f**3/21 - 26*f**2/21 - 62*f/21 + 10/7 = 0.
-1, 1/2, 1, 15
Suppose 2*a**5 + 412*a**4/15 - 26*a**3/3 - 256*a**2/15 - 56*a/15 = 0. What is a?
-14, -2/5, -1/3, 0, 1
Factor 3*d**3/4 + 165*d**2/2 + 5859*d/4 - 47628.
3*(d - 16)*(d + 63)**2/4
Suppose -a**3/4 - 55*a**2 + 443*a/4 - 111/2 = 0. Calculate a.
-222, 1
Suppose -m**5/3 - 55*m**4/3 + 175*m**3/3 + 55*m**2/3 - 58*m = 0. Calculate m.
-58, -1, 0, 1, 3
Factor j**3 + 11*j**2 + 15*j - 27.
(j - 1)*(j + 3)*(j + 9)
Let -2*m**5/13 - 112*m**4/13 - 110*m**3/13 = 0. What is m?
-55, -1, 0
Factor 8*p**3/7 - 718*p**2/7 + 76*p + 178/7.
2*(p - 89)*(p - 1)*(4*p + 1)/7
Solve 3*f**2 - 144*f - 147 = 0 for f.
-1, 49
Let -5*w**2/4 + 805*w + 3240 = 0. Calculate w.
-4, 648
Factor -5*m**2/9 + 4003*m/9 + 178.
-(m - 801)*(5*m + 2)/9
Find t, given that -1715*t**4 + 58065*t**3 - 48930*t**2 + 13900*t - 1320 = 0.
2/7, 33
Solve -5*b**5 + 10*b**4 - 5*b**3 = 0 for b.
0, 1
Factor -v**4/5 + 2*v**3/5 + 33*v**2/5 - 18*v.
-v*(v - 5)*(v - 3)*(v + 6)/5
Find p such that 3*p**3/2 - 141*p**2/2 + 420*p + 10584 = 0.
-9, 28
Factor 3*f**2 + 54*f + 195.
3*(f + 5)*(f + 13)
Determine w so that 3*w**3/5 - 294*w**2/5 + 228*w - 1128/5 = 0.
2, 94
Find c, given that c**2/4 + 3*c/4 - 1 = 0.
-4, 1
Factor 3*y**3 - 18*y**2 - 189*y + 1176.
3*(y - 7)**2*(y + 8)
Solve -s**5 - 19*s**4 - 33*s**3 + 19*s**2 + 34*s = 0.
-17, -2, -1, 0, 1
Factor -3*n**3 + 96*n**2 - 855*n + 1350.
-3*(n - 15)**2*(n - 2)
Suppose -2*a**3 - 24*a**2 + 62*a + 84 = 0. What is a?
-14, -1, 3
Solve -4*r**2/5 + 1348*r/5 + 1352/5 = 0 for r.
-1, 338
Factor c**4 - 3*c**2 + 2*c.
c*(c - 1)**2*(c + 2)
Factor -4*i**3 + 20*i**2 + 672*i + 2448.
-4*(i - 17)*(i + 6)**2
Factor 3*o**4 + 21*o**3 - 537*o**2 + 999*o - 486.
3*(o - 9)*(o - 1)**2*(o + 18)
Find i, given that i**3/9 - 5*i**2/9 + 4*i/9 = 0.
0, 1, 4
Factor x**5 + 7*x**4 + 15*x**3 + 13*x**2 + 4*x.
x*(x + 1)**3*(x + 4)
What is y in y**2/8 - 27*y/8 - 7/2 = 0?
-1, 28
Suppose -4*b**3 + 120*b**2 - 1008*b + 2592 = 0. What is b?
6, 18
Factor -3*k**4 - 36*k**3 - 135*k**2 - 162*k.
-3*k*(k + 3)**2*(k + 6)
Solve -5*r**4 - 15*r**3 + 115*r**2 - 165*r + 70 = 0 for r.
-7, 1, 2
Determine x so that -x**5/6 + x**4/6 + x**3/2 - x**2/6 - x/3 = 0.
-1, 0, 1, 2
Let 5*g**2/3 - 250*g/3 - 520/3 = 0. Calculate g.
-2, 52
Factor 4*u**4 + 36*u**3 + 36*u**2 - 340*u - 600.
4*(u - 3)*(u + 2)*(u + 5)**2
Factor 31*t**3 - 29*t**2 - 2*t.
t*(t - 1)*(31*t + 2)
Factor 7*n**3 - 232*n**2 - 205*n + 34.
(n - 34)*(n + 1)*(7*n - 1)
Determine h, given that -5*h**4 + 110*h**3 - 505*h**2 + 400*h = 0.
0, 1, 5, 16
Let d**3 - 7*d**2 + 12*d = 0. What is d?
0, 3, 4
Factor -14*r**3/3 - 1460*r**2/3 - 38272*r/3 - 10816/3.
-2*(r + 52)**2*(7*r + 2)/3
Determine y, given that -2*y**3/7 - 22*y**2/7 - 52*y/7 - 32/7 = 0.
-8, -2, -1
Factor -4*p**4 + 24*p**3 + 16*p**2 - 96*p.
-4*p*(p - 6)*(p - 2)*(p + 2)
Find q such that -60*q**5 - 123*q**4 + 177*q**3 + 15*q**2 - 9*q = 0.
-3, -1/4, 0, 1/5, 1
Determine b so that -5*b**3 - 5*b**2 + 45*b + 45 = 0.
-3, -1, 3
Find a, given that -3*a**5 + 15*a**4 - 15*a**3 - 15*a**2 + 18*a = 0.
-1, 0, 1, 2, 3
Factor -k**3/2 - 15*k**2 - 83*k/2 - 27.
-(k + 1)*(k + 2)*(k + 27)/2
What is c in c**4/2 + 12*c**3 + 113*c**2/2 + 45*c = 0?
-18, -5, -1, 0
Solve -2*x**2 + 200*x - 4800 = 0.
40, 60
Solve m**2 - m = 0 for m.
0, 1
Determine t, given that t**3 + 178*t**2 + 7740*t - 16200 = 0.
-90, 2
Factor 2*y**4/5 + 116*y**3/5 - 72*y**2 + 364*y/5 - 122/5.
2*(y - 1)**3*(y + 61)/5
Suppose 3*k**4 + 3*k**3 - 15*k**2 + 9*k = 0. Calculate k.
-3, 0, 1
Factor 5*p**2 + 420*p + 8820.
5*(p + 42)**2
Suppose -p**3/8 - 37*p**2/8 - 55*p/2 - 75/2 = 0. Calculate p.
-30, -5, -2
Factor -5*g**4 + 40*g**3 + 5*g**2 - 40*g.
-5*g*(g - 8)*(g - 1)*(g + 1)
Suppose -4*s**3 + 228*s**2 - 3132*s - 3364 = 0. What is s?
-1, 29
Find n such that 5*n**4 - 5*n**3 - 10*n**2 = 0.
-1, 0, 2
Find q, given that -2*q**4 + 194*q**3 - 5632*q**2 + 51304*q = 0.
0, 22, 53
Factor 2*h**5 + 494*h**4 + 33040*h**3 + 306328*h**2.
2*h**2*(h + 11)*(h + 118)**2
Determine w, given that -w**2 - 19*w - 48 = 0.
-16, -3
Find f such that 6*f**4/11 - 112*f**3/11 + 166*f**2/11 + 68*f/11 = 0.
-1/3, 0, 2, 17
Solve -v**5/8 + v**4 + 13*v**3/8 - 23*v**2/2 - 12*v = 0.
-3, -1, 0, 4, 8
Determine r, given that 392*r**3/3 - 1736*r**2/3 + 1922*r/3 = 0.
0, 31/14
Factor 5*z**5 + 50*z**4 + 165*z**3 + 220*z**2 + 100*z.
5*z*(z + 1)*(z + 2)**2*(z + 5)
Let 3*x**3 + 1638*x**2 + 298116*x + 18085704 = 0. What is x?
-182
Factor 3*m**4 + 84*m**3 + 654*m**2 + 780*m - 1521.
3*(m - 1)*(m + 3)*(m + 13)**2
Factor -2*j**2/9 - 22*j/3 - 364/9.
-2*(j + 7)*(j + 26)/9
Let -2*b**4 - 41*b**3/3 - 9*b**2 + 20*b/3 + 4 = 0. Calculate b.
-6, -1, -1/2, 2/3
Determine o so that 27*o**2 + 28059*o + 6234 = 0.
-1039, -2/9
Factor -3*t**5/2 - 382*t**4 - 1525*t**3/6 - 127*t**2/3.
-t**2*(t + 254)*(3*t + 1)**2/6
Factor d**2/2 + 34*d + 67/2.
(d + 1)*(d + 67)/2
Let 9583*b**5 - 4773*b**4/2 - 2053*b**3/2 - 84*b**2 - 2*b = 0. Calculate b.
-1/7, -2/37, 0, 1/2
Factor -2*t**5/7 - 30*t**4/7 + 200*t**3/7.
-2*t**3*(t - 5)*(t + 20)/7
Find z, given that 5*z**2 + 5705*z + 5700 = 0.
-1140, -1
Factor -2*i**3/19 - 2*i**2/19 + 32*i/19 - 40/19.
-2*(i - 2)**2*(i + 5)/19
Find l such that -30*l**4 - 176*l**3 + 504*l**2 - 64*l = 0.
-8, 0, 2/15, 2
Factor 4*u**3/5 + 744*u**2/5 + 2928*u/5 + 2912/5.
4*(u + 2)**2*(u + 182)/5
Find o, given that 3*o**3 + 14796*o**2 + 24324624*o + 13329893952 = 0.
-1644
What is u in -2*u**5/5 - 8*u**4/5 + 16*u**3/5 + 64*u**2/5 - 32*u/5 - 128/5 = 0?
-4, -2, 2
Determine p, given that p**4/2 + 11*p**3/2 + 9*p**2 = 0.
-9, -2, 0
Suppose 2*o**3/11 + 12*o**2/11 - 64/11 = 0. What is o?
-4, 2
Suppose 108*k**4 + 249*k**3 + 3*k**2 - 114*k + 24 = 0. What is k?
-2, -1, 1/4, 4/9
Factor 155*a**2 - 110*a - 45.
5*(a - 1)*(31*a + 9)
Factor q**4/3 + 2*q**3 + q**2 - 10*q/3.
q*(q - 1)*(q + 2)*(q + 5)/3
Let 2*c**2 - 2826*c = 0. What is c?
0, 1413
Suppose -160*q**4/17 + 252*q**3/17 - 18*q**2/17 - 80*q/17 + 6/17 = 0. Calculate q.
-1/2, 3/40, 1
Suppose -3*y**3 + 15*y**2 + 816*y + 4032 = 0. Calculate y.
-8, 21
Factor -2*k**2/3 + 148*k/3 - 2738/3.
-2*(k - 37)**2/3
Suppose -6*k**2/11 + 600*k/11 - 15000/11 = 0. Calculate k.
50
What is r in -5*r**2 - 325*r + 1750 = 0?
-70, 5
Factor -3*p**2 + 27*p + 66.
-3*(p - 11)*(p + 2)
Factor -7*y**5 - 8*y**4 + 20*y**3 + 38*y**2 + 19*y + 2.
-(y - 2)*(y + 1)**3*(7*y + 1)
Factor -u**4/4 + 3*u**3/4 - u.
-u*(u - 2)**2*(u + 1)/4
Determine d, given that 6*d**5 + 287*d**4/6 + 428*d**3/3 + 188*d**2 + 272*d/3 - 8/3 = 0.
-2, 1/36
Factor i**3 + 