*u = 0.
-768, 0
Solve -u**4/9 + 5*u**3/9 + 37*u**2/9 - 5*u/9 - 4 = 0 for u.
-4, -1, 1, 9
Suppose 3*h**4/4 - 243*h**3/2 = 0. Calculate h.
0, 162
Determine q so that -2*q**5 + 2*q**4 + 6*q**3 - 2*q**2 - 4*q = 0.
-1, 0, 1, 2
Solve 3*j**5 - 6*j**4 - 33*j**3 + 36*j**2 + 108*j = 0 for j.
-2, 0, 3
Factor 121*n**3/4 - 319*n**2/4 - 32*n - 3.
(n - 3)*(11*n + 2)**2/4
Solve 10*v**4/7 + 274*v**3/7 - 1102*v**2/7 + 446*v/7 + 372/7 = 0 for v.
-31, -2/5, 1, 3
Factor -3*y**5/5 - 42*y**4/5 - 15*y**3 - 36*y**2/5.
-3*y**2*(y + 1)**2*(y + 12)/5
What is r in 39*r**5/4 + 267*r**4/4 - 81*r**3/4 - 267*r**2/4 + 21*r/2 = 0?
-7, -1, 0, 2/13, 1
Solve s**4/4 + 11*s**3/4 + 5*s**2/2 = 0 for s.
-10, -1, 0
Factor 3*g**2 + 3279*g + 3276.
3*(g + 1)*(g + 1092)
Factor -2*v**2/7 + 128*v/7 - 18.
-2*(v - 63)*(v - 1)/7
Factor 64*l**4/5 + 1424*l**3/5 - 1092*l**2/5 + 55*l - 23/5.
(l + 23)*(4*l - 1)**3/5
Factor -3*r**2 + 3138*r - 820587.
-3*(r - 523)**2
Let 38*k**4/9 - 3074*k**3/9 + 9198*k**2 - 82134*k - 8748 = 0. What is k?
-2/19, 27
Factor -c**4/8 + 3*c**3/4 - 9*c**2/8 + c/2.
-c*(c - 4)*(c - 1)**2/8
What is q in 3*q**2 - 75*q + 138 = 0?
2, 23
Let 3*m**2 - 3729*m = 0. What is m?
0, 1243
Factor a**5/2 - 6*a**4 + 22*a**3 - 35*a**2 + 51*a/2 - 7.
(a - 7)*(a - 2)*(a - 1)**3/2
Factor 2*h**2/17 + 44*h/17 + 42/17.
2*(h + 1)*(h + 21)/17
Factor u**3/7 - 2*u**2/7 - u/7 + 2/7.
(u - 2)*(u - 1)*(u + 1)/7
Let -c**5/2 + 3*c**4/2 - 3*c**3/2 + c**2/2 = 0. What is c?
0, 1
Suppose -6*p**4 - 219*p**3 + 573*p**2 - 465*p + 117 = 0. Calculate p.
-39, 1/2, 1
Suppose i**2 - 268*i/3 - 60 = 0. Calculate i.
-2/3, 90
Factor -2*k**2/7 - 18*k/7 + 72/7.
-2*(k - 3)*(k + 12)/7
Find w such that 6*w**5 - 22*w**4 + 18*w**3 + 14*w**2 - 24*w + 8 = 0.
-1, 2/3, 1, 2
Find j such that -j**3 - j**2 + j + 1 = 0.
-1, 1
Solve -2*t**2 + 232*t - 6728 = 0 for t.
58
Find j such that j**5 + 4*j**4 - 10*j**2 - j + 6 = 0.
-3, -2, -1, 1
Factor -k**2/3 + 812*k/3 - 164836/3.
-(k - 406)**2/3
Let 2*b**2/5 - 520*b + 169000 = 0. Calculate b.
650
Determine i, given that i**2/4 - 107*i/4 + 441/2 = 0.
9, 98
Factor 2*s**2 + 20*s + 50.
2*(s + 5)**2
What is p in 5*p**4 + 985*p**3 + 49000*p**2 + 48020*p = 0?
-98, -1, 0
Factor -5*t**4 - 95*t**3 + 100*t**2.
-5*t**2*(t - 1)*(t + 20)
Solve 2*x**5 - 2*x**4 - 18*x**3 + 10*x**2 + 32*x - 24 = 0.
-2, 1, 3
Suppose 3*j**4 - 108*j**3 + 483*j**2 - 558*j = 0. Calculate j.
0, 2, 3, 31
Factor 381*k**2/2 - 15*k.
3*k*(127*k - 10)/2
Solve 4*t**4 - 128*t**3 + 348*t**2 + 16*t - 464 = 0 for t.
-1, 2, 29
Factor -s**3 + 6*s**2 + s - 30.
-(s - 5)*(s - 3)*(s + 2)
Solve -t**2 + 77*t - 76 = 0.
1, 76
Find g such that -g**2/7 - 11*g/7 - 30/7 = 0.
-6, -5
Factor 5*d**4 - 260*d**3 + 1425*d**2 - 2070*d.
5*d*(d - 46)*(d - 3)**2
Find v, given that -45*v**2/4 + 9*v/4 + 1/2 = 0.
-2/15, 1/3
Factor -15*a**3 + 186*a**2 - 63*a - 108.
-3*(a - 12)*(a - 1)*(5*a + 3)
Solve -d**5/5 + 6*d**4/5 - d**3/5 - 24*d**2/5 - 16*d/5 = 0.
-1, 0, 4
Factor 4*l**4/3 - 68*l**2/3 + 48*l - 80/3.
4*(l - 2)**2*(l - 1)*(l + 5)/3
Find s, given that 23*s**2/5 - 163*s/5 + 14/5 = 0.
2/23, 7
Factor 2*j**4/19 - 32*j**3/19 - 4*j**2/19 + 1056*j/19 + 2178/19.
2*(j - 11)**2*(j + 3)**2/19
Factor 3*m**4 - 147*m**3 + 1509*m**2 - 3633*m - 5292.
3*(m - 36)*(m - 7)**2*(m + 1)
Suppose -2*x**4 + 26*x**3 + 282*x**2 - 26*x - 280 = 0. Calculate x.
-7, -1, 1, 20
Factor 4*h**3 + 76*h**2.
4*h**2*(h + 19)
Factor 2*n**3/3 + 154*n**2/15 + 4*n.
2*n*(n + 15)*(5*n + 2)/15
What is i in 3*i**3/2 - 177*i**2 - 360*i = 0?
-2, 0, 120
Factor 3*f**2 - 51*f + 90.
3*(f - 15)*(f - 2)
What is q in -q**2/3 - 51*q - 302/3 = 0?
-151, -2
Factor -2*w**2/5 - 98*w/5 + 312/5.
-2*(w - 3)*(w + 52)/5
Factor -3*s**2/5 + 237*s/5 + 48.
-3*(s - 80)*(s + 1)/5
Suppose -4*s**2 + 2012*s - 2008 = 0. Calculate s.
1, 502
Let 3*k**2 - 60*k + 300 = 0. Calculate k.
10
Find c such that 45*c**5 + 87*c**4 - 186*c**3 - 78*c**2 + 141*c - 9 = 0.
-3, -1, 1/15, 1
Factor -5*l**5 + 515*l**4 - 3920*l**3 + 11560*l**2 - 15280*l + 7600.
-5*(l - 95)*(l - 2)**4
What is j in -j**5/2 - 13*j**4/2 - 6*j**3 = 0?
-12, -1, 0
Suppose -5*h**2 + 195*h - 370 = 0. What is h?
2, 37
Find z, given that 3*z**3 + 225*z**2 + 1950*z = 0.
-65, -10, 0
Let -2*i**4 - 660*i**3 - 54448*i**2 + 660*i + 54450 = 0. What is i?
-165, -1, 1
Determine w, given that -2*w**2/5 - 40*w + 4522/5 = 0.
-119, 19
Suppose -h**3/7 - 4*h**2/7 + h/7 + 4/7 = 0. Calculate h.
-4, -1, 1
What is k in -15*k**3/2 + 36*k**2 - 45*k/2 - 6 = 0?
-1/5, 1, 4
Factor 3*h**3 - 1698*h**2 + 236835*h + 974700.
3*(h - 285)**2*(h + 4)
Suppose -2*p**3 - 32*p**2 - 104*p - 96 = 0. Calculate p.
-12, -2
Factor t**2 - 9*t - 52.
(t - 13)*(t + 4)
Solve -156*c**3/7 - 1864*c**2/7 - 1620*c/7 + 88/7 = 0.
-11, -1, 2/39
Factor 3*j**4 - 33*j**3 - 117*j**2 - 123*j - 42.
3*(j - 14)*(j + 1)**3
What is l in 2*l**2/17 + 324*l/17 + 13122/17 = 0?
-81
Suppose 25*a**3/4 + 160*a**2 + 3965*a/4 - 845/2 = 0. Calculate a.
-13, 2/5
Factor -4*j**4 - 68*j**3 - 180*j**2 - 172*j - 56.
-4*(j + 1)**3*(j + 14)
Factor h**3/2 + 91*h**2/2 + 294*h.
h*(h + 7)*(h + 84)/2
Determine h, given that 3*h**3/2 + 24*h**2 + 135*h/2 - 243 = 0.
-9, 2
Factor j**5/8 - j**4 - 16*j**3.
j**3*(j - 16)*(j + 8)/8
Suppose 15*g**3 + 63*g**2 - 48 = 0. Calculate g.
-4, -1, 4/5
Factor a**4 - 9*a**3 + 30*a**2 - 44*a + 24.
(a - 3)*(a - 2)**3
What is q in -4*q**2/5 + 12572*q/5 = 0?
0, 3143
Let -9*q**4 + 231*q**3 - 1437*q**2 - 663*q + 1014 = 0. What is q?
-1, 2/3, 13
Factor -u**2 + 28*u - 27.
-(u - 27)*(u - 1)
Factor -2*f**2/13 + 648*f/13 - 646/13.
-2*(f - 323)*(f - 1)/13
Determine t, given that 2*t**4/11 + 94*t**3/11 - 758*t**2/11 - 94*t/11 + 756/11 = 0.
-54, -1, 1, 7
Solve -2*d**4/15 - 4*d**3/5 - 6*d**2/5 = 0 for d.
-3, 0
Find h such that 2*h**4/13 - 24*h**2/13 - 32*h/13 = 0.
-2, 0, 4
Factor -3*w**2/2 + 81*w/2 + 42.
-3*(w - 28)*(w + 1)/2
Find j, given that 20*j**2 + 65*j - 60 = 0.
-4, 3/4
What is a in 5*a**4 - 90*a**3 - 795*a**2 - 1940*a - 1500 = 0?
-3, -2, 25
Factor -5*l**4 - 10*l**3 + 20*l**2 + 10*l - 15.
-5*(l - 1)**2*(l + 1)*(l + 3)
Determine w so that 3*w**2 - 762*w + 759 = 0.
1, 253
Let 16*d**5 - 28*d**4 - 8*d**3 + 32*d**2 - 8*d - 4 = 0. What is d?
-1, -1/4, 1
Suppose 2*u**2 + 2062*u - 2064 = 0. What is u?
-1032, 1
Factor 4*h**2 - 332*h + 2128.
4*(h - 76)*(h - 7)
What is y in 2*y**3 + 28*y**2 - 8*y - 112 = 0?
-14, -2, 2
Suppose 3*q**4/2 + 3*q**3 - 9*q**2/2 - 6*q + 6 = 0. Calculate q.
-2, 1
Factor 4*b**5 - 20*b**4 + 24*b**3.
4*b**3*(b - 3)*(b - 2)
Solve 3*p**5 + 21*p**4 + 12*p**3 - 36*p**2 = 0 for p.
-6, -2, 0, 1
Solve -2*s**4/9 + 8*s**3/9 + 26*s**2/9 - 80*s/9 - 32/3 = 0 for s.
-3, -1, 4
Determine r, given that -r**4/7 - 481*r**3/7 - 1437*r**2/7 - 205*r - 478/7 = 0.
-478, -1
Suppose 2*y**4/7 + 208*y**3/7 + 204*y**2/7 - 208*y/7 - 206/7 = 0. Calculate y.
-103, -1, 1
Factor h**3 + 21*h**2 + 23*h - 285.
(h - 3)*(h + 5)*(h + 19)
Factor 3*d**5 - 21*d**4 - 6*d**3 + 180*d**2 - 216*d.
3*d*(d - 6)*(d - 2)**2*(d + 3)
Factor -c**3 - 301*c**2 - 22800*c - 22500.
-(c + 1)*(c + 150)**2
Factor -g**2/2 - 50*g.
-g*(g + 100)/2
Factor -3*m**2 - 75*m + 78.
-3*(m - 1)*(m + 26)
Find z, given that z**4/7 + 8*z**3/7 - 23*z**2/7 - 30*z/7 = 0.
-10, -1, 0, 3
Suppose 3*h**2 + 90*h - 4617 = 0. Calculate h.
-57, 27
What is d in -5*d**5 - 370*d**4 - 2750*d**3 - 7380*d**2 - 7965*d - 2970 = 0?
-66, -3, -1
Determine h so that -2*h**2/19 + 86*h/19 + 88/19 = 0.
-1, 44
Factor g**4 + 7*g**3/6 - 14*g**2/3 + 5*g/2.
g*(g - 1)*(g + 3)*(6*g - 5)/6
Suppose 4*q**2/7 + 92*q - 648/7 = 0. What is q?
-162, 1
Let -15*p**5 - 18*p**4 + 72*p**3 - 30*p**2 - 9*p = 0. What is p?
-3, -1/5, 0, 1
Let -u**5/6 - 5*u**4/3 + 4*u**3 = 0. Calculate u.
-12, 0, 2
Factor -3*f**2/2 - 279*f - 25947/2.
-3*(f + 93)**2/2
Determine t, given that -3*t**3/7 - 186*t**2/7 + 3*t/7 + 186/7 = 0.
-62, -1, 1
Factor -c**2/8 - 45*c/8 - 43/4.
-(c + 2)*(c + 43)/8
Determine c so that 16*c**2 - 646*c + 240 = 0.
3/8, 40
Find a, given that -a**4/5 + 307*a**3/5 - 609*a**2/5 - 307*a/5 + 122 = 0.
-1, 1, 2, 305
Find u such that -u**4/7 + 2*u**3/7 + u**2/7 - 2*u/7 = 0.
-1, 0, 1, 2
Factor -a**2 + 3*a + 10.
-(a - 5)*(a + 2)
Find a, given that 2*a**4/3 - 26*a**3/3 + 42*a**2 - 90*a + 72 = 0.
3, 4
Factor c**3/5 - 197*c**2/5 + 196*c/5.
c*(c - 196)*(c - 1)/5
Suppose a**4 + 49*a**3/4 - 24*a**2 + 29*a/4 + 7/2 = 0. What is a?
-14, -1/4, 1
Solve -72*d**5 - 294*d**4 - 386*d**3 - 172*d*