Determine i, given that -8262*i**3 + 7587*i**2/2 - 462*i + 6 = 0.
1/68, 2/9
Factor -f**3/6 + 29*f**2/3 - 98*f + 276.
-(f - 46)*(f - 6)**2/6
Find k such that -k**4/4 - 31*k**3/4 + 185*k**2/2 + 100*k = 0.
-40, -1, 0, 10
Determine h, given that -h**2 - 752*h = 0.
-752, 0
Factor 2*w**3 - 124*w**2 + 358*w - 236.
2*(w - 59)*(w - 2)*(w - 1)
Factor f**3/3 + 26*f**2/3 + 140*f/3 - 392/3.
(f - 2)*(f + 14)**2/3
Factor -2*z**4/7 - 2040*z**3/7 - 693600*z**2/7 - 78608000*z/7.
-2*z*(z + 340)**3/7
Factor -4*k**3 - 44*k**2 + 72*k + 288.
-4*(k - 3)*(k + 2)*(k + 12)
Find t such that -t**4/3 + 22*t**3/3 + t**2 - 64*t/3 - 44/3 = 0.
-1, 2, 22
Solve -16*g**5/5 + 47*g**4/5 - 9*g**3 + 13*g**2/5 + g/5 = 0 for g.
-1/16, 0, 1
Find o such that o**5/2 - 5*o**4 + 15*o**3/2 + 5*o**2 - 8*o = 0.
-1, 0, 1, 2, 8
Solve 5*f**4 + 25*f**3 - 20*f**2 - 100*f = 0 for f.
-5, -2, 0, 2
Factor -3*b**2 + 36*b - 108.
-3*(b - 6)**2
Factor -p**3 - 6*p**2 - 5*p.
-p*(p + 1)*(p + 5)
Factor 2*a**3/5 + 2*a**2/5 - 2*a/5 - 2/5.
2*(a - 1)*(a + 1)**2/5
Factor -3*r**3/4 - 2439*r**2/2 - 660969*r - 119415066.
-3*(r + 542)**3/4
Factor c**5/4 + 3*c**4.
c**4*(c + 12)/4
Factor i**3 + 134*i**2 - 1451*i - 1584.
(i - 11)*(i + 1)*(i + 144)
Factor 4*o**2/7 - 8*o/7.
4*o*(o - 2)/7
What is w in -87*w**2 + 12*w = 0?
0, 4/29
Factor 2*s**4 - 2016*s**3 + 516032*s**2 - 4032000*s + 8000000.
2*(s - 500)**2*(s - 4)**2
Solve 3*j**2 + 297*j + 4374 = 0 for j.
-81, -18
Determine v so that -2*v**3 - 72*v**2 + 74*v = 0.
-37, 0, 1
Find p, given that 5*p**2 - 7035*p + 21060 = 0.
3, 1404
What is c in -c**2/5 - 42*c/5 - 441/5 = 0?
-21
Find h such that -3*h**4 - 69*h**3 + 72*h**2 = 0.
-24, 0, 1
Let -2*p**2/7 + 60*p/7 - 450/7 = 0. What is p?
15
Determine q so that 4*q**3/3 + 16*q**2 + 28*q + 40/3 = 0.
-10, -1
Factor 3*a**3/7 + 6474*a**2/7 + 3492723*a/7.
3*a*(a + 1079)**2/7
Solve 15*u**4 - 144*u**3 + 75*u**2 + 54*u = 0 for u.
-2/5, 0, 1, 9
Factor c**3/4 + 5*c**2/4 - 6*c.
c*(c - 3)*(c + 8)/4
Suppose 8*p**4/9 - 46*p**3/9 - 20*p**2/9 + 46*p/9 + 4/3 = 0. Calculate p.
-1, -1/4, 1, 6
Factor z**2/6 - 46*z/3 - 95/2.
(z - 95)*(z + 3)/6
Suppose 2*b**2/15 + 7874*b/15 = 0. What is b?
-3937, 0
Factor -h**2/10 - 3*h/2 - 28/5.
-(h + 7)*(h + 8)/10
Factor -2*p**2 + 112*p - 110.
-2*(p - 55)*(p - 1)
Solve 2*y**2/11 - 12*y/11 - 54/11 = 0 for y.
-3, 9
Factor 3*x**2/2 + 96*x + 1197/2.
3*(x + 7)*(x + 57)/2
Find w such that -w**5/2 + 453*w**4/2 + w**3/2 - 453*w**2/2 = 0.
-1, 0, 1, 453
Determine s, given that -3*s**5/8 - 33*s**4/8 - 117*s**3/8 - 135*s**2/8 = 0.
-5, -3, 0
Let v**5/3 - v**4/3 - 2*v**3 + 4*v**2/3 + 8*v/3 = 0. Calculate v.
-2, -1, 0, 2
Determine w, given that -2*w**5/11 + 142*w**4/11 - 3308*w**3/11 + 23904*w**2/11 + 34560*w/11 - 55296/11 = 0.
-2, 1, 24
Factor 3*k**4 - 240*k**3 + 234*k**2 + 240*k - 237.
3*(k - 79)*(k - 1)**2*(k + 1)
Factor i**2/4 - 785*i/4 + 196.
(i - 784)*(i - 1)/4
Determine b so that 2*b**2 - 752*b - 754 = 0.
-1, 377
Factor 4*m**3 - 88*m**2 + 444*m - 360.
4*(m - 15)*(m - 6)*(m - 1)
Let 309*d**2 + 1248*d + 48 = 0. What is d?
-4, -4/103
Find o, given that -o**3/7 - 254*o**2/7 + 1551*o/7 - 2340/7 = 0.
-260, 3
Suppose r**3 + 3*r**2 - 97*r - 99 = 0. What is r?
-11, -1, 9
Let 95*b**4 + 6165*b**3 - 13285*b**2 + 7695*b - 670 = 0. What is b?
-67, 2/19, 1
Let 2*r**5 - 64*r**4 - 568*r**3 + 27680*r**2 + 22400*r - 3136000 = 0. Calculate r.
-14, 20
Factor 3*b**2/4 + 21*b/4 - 27/2.
3*(b - 2)*(b + 9)/4
Let 4*l**5 - 380*l**4 + 13344*l**3 - 202592*l**2 + 1049152*l + 1265472 = 0. Calculate l.
-1, 18, 26
Suppose 50*c**3 + 208310*c**2 - 166672*c + 33336 = 0. Calculate c.
-4167, 2/5
Solve l**2/5 - 19*l/5 - 4 = 0 for l.
-1, 20
Factor -6*a**3 - 536*a**2 - 3166*a - 996.
-2*(a + 6)*(a + 83)*(3*a + 1)
Factor 2*m**4 - 204*m**3 + 4992*m**2 + 10816*m.
2*m*(m - 52)**2*(m + 2)
Factor -2*h**3 - 68*h**2 + 230*h + 296.
-2*(h - 4)*(h + 1)*(h + 37)
Solve -2*v**3/5 - 16*v**2/5 = 0 for v.
-8, 0
Solve -18*p**4/7 + 214*p**3/7 - 120*p**2 + 1056*p/7 + 128/7 = 0.
-1/9, 4
Factor 2*y**5 - 4*y**4 - 6*y**3 + 8*y**2 + 8*y.
2*y*(y - 2)**2*(y + 1)**2
Suppose y**4/5 + y**3/5 - 78*y**2/5 - 36*y/5 + 1512/5 = 0. Calculate y.
-7, -6, 6
Factor 5*i**3/2 + 210*i**2 - 435*i/2 - 425.
5*(i - 2)*(i + 1)*(i + 85)/2
Let 3*m**2 - 1992*m = 0. Calculate m.
0, 664
Find d such that 4*d**2 - 132*d + 648 = 0.
6, 27
Let -2*q**4/3 + 28*q**3/3 + 40*q**2/3 - 52*q + 30 = 0. What is q?
-3, 1, 15
What is c in 5*c**3 + 65*c**2 + 160*c + 100 = 0?
-10, -2, -1
Factor 2*b**2/13 + 2*b - 60/13.
2*(b - 2)*(b + 15)/13
Solve 16*v**5 + 388*v**4 + 80*v**3 - 388*v**2 - 96*v = 0.
-24, -1, -1/4, 0, 1
Factor -2*g**3/13 + 176*g**2/13 - 3690*g/13 - 8100/13.
-2*(g - 45)**2*(g + 2)/13
Factor -4*i**4/7 - 8*i**3/7 + 44*i**2/7 + 48*i/7.
-4*i*(i - 3)*(i + 1)*(i + 4)/7
Let 35*n**5 - 295*n**4 + 785*n**3 - 705*n**2 + 180*n = 0. Calculate n.
0, 3/7, 1, 3, 4
Factor 6*q**5 + 15*q**4 + 9*q**3.
3*q**3*(q + 1)*(2*q + 3)
Determine c so that 5*c**5 - 265*c**4 - 5*c**3 + 265*c**2 = 0.
-1, 0, 1, 53
Factor 5*h**4 + 35*h**3 - 50*h**2 - 80*h.
5*h*(h - 2)*(h + 1)*(h + 8)
Find b such that b**2 + 24*b + 23 = 0.
-23, -1
Factor 3*d**5 - 12*d**4 - 6*d**3 + 36*d**2 + 27*d.
3*d*(d - 3)**2*(d + 1)**2
Solve -7*q**3/6 + 31*q**2/2 + 159*q - 140/3 = 0.
-7, 2/7, 20
Find d, given that -5*d**4 + 31*d**3 - 31*d**2 + 5*d = 0.
0, 1/5, 1, 5
Let -5*c**4 + 2060*c**3 - 4100*c**2 = 0. Calculate c.
0, 2, 410
Factor 4*c**3 - 24564*c**2 + 50282508*c - 34309431292.
4*(c - 2047)**3
Suppose -g**4/4 - 11*g**3/4 - 17*g**2/2 - 6*g = 0. Calculate g.
-6, -4, -1, 0
Determine n so that -18*n**4/7 + 2*n**3 + 40*n**2/7 + 8*n/7 = 0.
-1, -2/9, 0, 2
Suppose -x**3/6 + 37*x**2/2 - 1045*x/2 + 3025/6 = 0. Calculate x.
1, 55
Factor 2*u**3/9 - 10*u**2/9 + 14*u/9 - 2/3.
2*(u - 3)*(u - 1)**2/9
Factor -4*m**4 - 60*m**3 - 56*m**2.
-4*m**2*(m + 1)*(m + 14)
Solve t**4/3 + 22*t**3 = 0 for t.
-66, 0
Factor -5*o**2 - 270*o + 275.
-5*(o - 1)*(o + 55)
Solve -11*i**4 - 200*i**3 - 652*i**2 - 112*i = 0 for i.
-14, -4, -2/11, 0
Factor 3*y**2/2 + 2991*y + 5979/2.
3*(y + 1)*(y + 1993)/2
Find n such that -2*n**3/5 + 8*n**2/5 + 14*n/5 - 4 = 0.
-2, 1, 5
Suppose -4*u**2 + 80*u + 384 = 0. What is u?
-4, 24
Factor -3*m**3/8 - 39*m**2/4 - 243*m/8 + 189.
-3*(m - 3)*(m + 8)*(m + 21)/8
Let 4*w**5 - 96*w**4 - 604*w**3 + 696*w**2 = 0. What is w?
-6, 0, 1, 29
Factor 4*w**5 - 32*w**4 - 80*w**3 - 8*w**2 + 76*w + 40.
4*(w - 10)*(w - 1)*(w + 1)**3
Factor -3*j**4 - 246*j**3 - 1167*j**2 - 924*j.
-3*j*(j + 1)*(j + 4)*(j + 77)
Solve 26*l**2 - 4*l - 22 = 0.
-11/13, 1
Solve x**3 - 19*x**2 + 12*x + 108 = 0 for x.
-2, 3, 18
Let 2*c**4/5 + 68*c**3/5 + 186*c**2/5 = 0. Calculate c.
-31, -3, 0
Factor 5*o**3/4 + 6570*o**2 + 11510640*o + 6722213760.
5*(o + 1752)**3/4
Factor -2*a**3/5 + 12*a**2/5 + 18*a/5 - 108/5.
-2*(a - 6)*(a - 3)*(a + 3)/5
Determine o, given that 5*o**4 - 5*o**3 - 15*o**2 + 5*o + 10 = 0.
-1, 1, 2
Factor -5*t**2 + 6*t + 95.
-(t - 5)*(5*t + 19)
Solve 4*l**4 - 41*l**3 + 42*l**2 + 223*l + 136 = 0 for l.
-1, 17/4, 8
Find k such that -2*k**2 + 24*k - 64 = 0.
4, 8
Find j, given that 2*j**2/15 + 18*j/5 - 12 = 0.
-30, 3
Determine u so that -4*u**3 + 192*u**2 - 2304*u = 0.
0, 24
Find n, given that 5*n**4 - 70*n**3 + 245*n**2 - 180*n = 0.
0, 1, 4, 9
Determine j so that 5*j**3 - 125*j**2 - 160*j + 780 = 0.
-3, 2, 26
Factor 2*s**3 + 42*s**2 + 40*s.
2*s*(s + 1)*(s + 20)
What is y in 4*y**4 + 44*y**3 - 52*y**2 - 44*y + 48 = 0?
-12, -1, 1
Factor 2*u**2/13 - 456*u/13 + 25992/13.
2*(u - 114)**2/13
Determine r so that 12*r**5 + 88*r**4 + 124*r**3 - 160*r**2 - 64*r = 0.
-4, -1/3, 0, 1
Factor -s**5 + 77*s**4 + s**3 - 77*s**2.
-s**2*(s - 77)*(s - 1)*(s + 1)
Let -5*z**3 - 10*z**2 + 5*z + 10 = 0. What is z?
-2, -1, 1
What is c in 5*c**5 + 85*c**4 + 260*c**3 - 540*c**2 - 720*c = 0?
-12, -6, -1, 0, 2
Factor l**5 + 19*l**4 + 22*l**3 - 190*l**2 + 233*l - 85.
(l - 1)**3*(l + 5)*(l + 17)
Suppose 2*y**3/3 - 50*y/3 = 0. Calculate y.
-5, 0, 5
Factor 5*z**2 + 150*z - 155.
5*(z - 1)*(z + 31)
Factor -4*s**2 + 4*s + 8.
-4*(s - 2)*(s + 1)
Factor -3*l**3/5 + 3*l**2/5 + 108*l/5 - 108/5.
-3*(l - 6)*(l - 1)*(l + 6)/5
What is b in 147*b**4 - 47355*b**3 - 40662*b**2 - 81372*b/7 - 7752/7 = 0?
-2/7, 323
Factor 3*u**5 + 12*u**4 - 3*u**3 - 12*u**2.
3*u**2*(u - 1)*(u + 1)*(u + 4)
Solve -5*h**3 - 1750*h**2 - 156565*h - 598580 = 0 for h.
-173, -4
Determine y, given that