**5/6 - 383*t**4/3 + 110207*t**3/3 - 14154628*t**2/3 + 1386606329*t/6 - 1330863361/3.
(t - 191)**4*(t - 2)/6
Solve 4*u**2 + 480*u = 0 for u.
-120, 0
Determine y, given that y**3 + 9*y**2/7 - 40*y/7 - 12/7 = 0.
-3, -2/7, 2
Factor 4*x**4 - 28*x**3 - 120*x**2 + 1008*x - 864.
4*(x - 6)**2*(x - 1)*(x + 6)
Find r, given that -2*r**4/5 - 98*r**3/15 + 298*r**2/15 - 118*r/15 - 76/15 = 0.
-19, -1/3, 1, 2
Solve -l**5 - 96*l**4 - 2550*l**3 - 10808*l**2 + 29655*l - 16200 = 0.
-45, -8, 1
Solve -3*u**2/5 - 2844*u/5 - 674028/5 = 0.
-474
Determine j so that 2*j**3/5 + 18*j**2/5 - 32*j/5 - 24 = 0.
-10, -2, 3
Factor 3*t**2 + 189*t.
3*t*(t + 63)
Determine l, given that -11*l**3 + 50*l**2 - 68*l + 24 = 0.
6/11, 2
What is g in -2*g**5 - 282*g**4 - 9508*g**3 + 30528*g**2 - 20736*g = 0?
-72, 0, 1, 2
Determine c so that 2*c**5 + 62*c**4/5 + 124*c**3/5 + 56*c**2/5 - 16*c - 64/5 = 0.
-2, -1, 4/5
Factor 18*v**4 - 42*v**3 - 46*v**2 + 170*v - 100.
2*(v - 1)*(v + 2)*(3*v - 5)**2
Factor 4*w**5 - 244*w**4 + 1584*w**3 - 3968*w**2 + 4352*w - 1728.
4*(w - 54)*(w - 2)**3*(w - 1)
Let -28*f**2/5 - 6*f - 2/5 = 0. What is f?
-1, -1/14
Determine l, given that -12*l**3 - 415*l**2/3 - 203*l/3 + 22 = 0.
-11, -3/4, 2/9
Factor 9*y**3/4 + 6*y**2 + 21*y/4 + 3/2.
3*(y + 1)**2*(3*y + 2)/4
What is g in 4*g**2/3 - 1600*g/3 - 1612 = 0?
-3, 403
Factor -2*f**2/7 - 32*f/7 + 114/7.
-2*(f - 3)*(f + 19)/7
Factor -3*l**5/7 + 129*l**4 - 67497*l**3/7 - 68403*l**2/7.
-3*l**2*(l - 151)**2*(l + 1)/7
Factor 2*p**5 + 8*p**4 + 6*p**3 - 8*p**2 - 8*p.
2*p*(p - 1)*(p + 1)*(p + 2)**2
Let -2*k**2 + 282*k + 864 = 0. Calculate k.
-3, 144
Factor -l**4/6 + 17*l**3/6 - 29*l**2/2 + 95*l/6 + 100/3.
-(l - 8)*(l - 5)**2*(l + 1)/6
Solve d**3 - 4*d**2 + 3*d = 0 for d.
0, 1, 3
Factor 3*t**4 + 903*t**3 + 80190*t**2 + 834900*t - 115797000.
3*(t - 29)*(t + 110)**3
Factor -3*k**3 - 18*k**2 + 48*k.
-3*k*(k - 2)*(k + 8)
Factor -2*l**3/3 - 106*l**2/3 - 304*l/3 - 200/3.
-2*(l + 1)*(l + 2)*(l + 50)/3
Factor -2*l**2/11 - 362*l/11 - 340.
-2*(l + 11)*(l + 170)/11
Factor -32*l**3 - 356*l**2 - 44*l.
-4*l*(l + 11)*(8*l + 1)
Factor 3*b**3/5 + 3*b**2/5 - 12*b/5 - 12/5.
3*(b - 2)*(b + 1)*(b + 2)/5
Find v, given that -17*v**2/3 + 2*v/3 = 0.
0, 2/17
Factor -2*m**4 + 112*m**3 - 1676*m**2 + 3024*m - 1458.
-2*(m - 27)**2*(m - 1)**2
Factor -4*g**3/9 + 28*g**2/3 - 140*g/9 - 76/3.
-4*(g - 19)*(g - 3)*(g + 1)/9
Suppose -4*v**2 - 7892*v - 7888 = 0. Calculate v.
-1972, -1
Solve c**3 - 14*c**2 - 68*c - 72 = 0.
-2, 18
Factor -5*k**3 - 405*k**2 - 10935*k - 98415.
-5*(k + 27)**3
Suppose 343*d**3 - 4263*d**2/2 + 17661*d/4 - 24389/8 = 0. What is d?
29/14
Suppose 35*z**3/6 + 85*z**2/3 + 65*z/2 = 0. Calculate z.
-3, -13/7, 0
Factor q**5 + 28*q**4 + 49*q**3 - 78*q**2.
q**2*(q - 1)*(q + 3)*(q + 26)
Factor f**2/8 - 15*f/2 - 32.
(f - 64)*(f + 4)/8
Factor -j**4/7 + 4*j**3/7 + 27*j**2/7 - 90*j/7.
-j*(j - 6)*(j - 3)*(j + 5)/7
Determine i so that -45*i**5 - 5700*i**4 - 20390*i**3 - 11700*i**2 - 1845*i = 0.
-123, -3, -1/3, 0
Let 2*b**4/17 + 16*b**3/17 + 32*b**2/17 = 0. What is b?
-4, 0
Let 9*y**3/2 + 111*y**2/2 - 39*y = 0. What is y?
-13, 0, 2/3
Factor -3*y**2 - 36*y - 81.
-3*(y + 3)*(y + 9)
Let 16*i**5 + 36*i**4 - 8*i**3 - 36*i**2 - 8*i = 0. What is i?
-2, -1, -1/4, 0, 1
Factor x**5/3 - 2*x**4 + 8*x**3/3 + 2*x**2/3 - 3*x + 4/3.
(x - 4)*(x - 1)**3*(x + 1)/3
Find y such that -3*y**3/2 - 51*y**2/2 + 30*y + 54 = 0.
-18, -1, 2
Suppose -23*t**4/6 + 35*t**3/3 + 10*t**2/3 - 35*t/3 + 1/2 = 0. Calculate t.
-1, 1/23, 1, 3
Find y such that 3*y**5 + 57*y**4 + 315*y**3 + 375*y**2 - 750*y = 0.
-10, -5, 0, 1
Suppose -98*x**4/17 + 1288*x**3/17 + 10426*x**2/17 + 10272*x/17 - 21888/17 = 0. Calculate x.
-24/7, 1, 19
Determine v, given that v**3/2 + 117*v**2/2 + 1491*v/2 + 5047/2 = 0.
-103, -7
Factor t**3/12 + 59*t**2/4 + 660*t + 1936/3.
(t + 1)*(t + 88)**2/12
Determine h, given that 3*h**3 - 12*h**2 - 60*h + 144 = 0.
-4, 2, 6
Let -4*f**3 - 64*f**2 + 68*f = 0. What is f?
-17, 0, 1
Factor -w**2/5 - 558*w/5.
-w*(w + 558)/5
Suppose 2*j**4/7 - 2*j**3/7 - 18*j**2 - 486*j/7 - 540/7 = 0. Calculate j.
-3, 10
What is t in 7*t**2 + 109*t + 60 = 0?
-15, -4/7
Determine w so that 4*w**5 + 24*w**4 + 28*w**3 - 72*w**2 - 176*w - 96 = 0.
-3, -2, -1, 2
Let i**3/4 - 5*i**2/2 + 25*i/4 = 0. Calculate i.
0, 5
Find y, given that 24*y**4/7 + 242*y**3/7 + 418*y**2/7 + 136*y/7 - 64/7 = 0.
-8, -4/3, -1, 1/4
Suppose -4*q**4 - 48*q**3 + 108*q**2 - 56*q = 0. What is q?
-14, 0, 1
Let -2*j**4/5 + 14*j**3/5 - 22*j**2/5 - 14*j/5 + 24/5 = 0. Calculate j.
-1, 1, 3, 4
Suppose -s**3/4 - 63*s**2/4 - 56*s + 177 = 0. Calculate s.
-59, -6, 2
Factor 3*f**4 - 995*f**3 + 86176*f**2 - 601020*f - 209952.
(f - 162)**2*(f - 8)*(3*f + 1)
Determine j, given that -2*j**5/7 + 18*j**4/7 + 50*j**3/7 - 50*j**2/7 - 24*j - 88/7 = 0.
-2, -1, 2, 11
Factor -f**3 + 15*f**2 - 32*f - 48.
-(f - 12)*(f - 4)*(f + 1)
Let 3*v**5 + 9*v**4 - 168*v**3 - 1116*v**2 - 2400*v - 1728 = 0. What is v?
-4, -2, 9
Determine n, given that -8*n**2/5 + 7134*n/5 + 1784/5 = 0.
-1/4, 892
Find r, given that -3*r**2 - 816*r - 813 = 0.
-271, -1
Solve -2*r**2/19 - 128*r/19 + 1314/19 = 0.
-73, 9
Factor -14*m**2/19 + 236*m/19 + 34/19.
-2*(m - 17)*(7*m + 1)/19
Suppose -k**2/7 + 38*k/7 + 80/7 = 0. What is k?
-2, 40
Solve -d**3 + 2*d**2 - d = 0 for d.
0, 1
What is k in k**3/4 - k**2/2 = 0?
0, 2
Factor -l**4/7 - 10*l**3/7 - 24*l**2/7 + 10*l/7 + 25/7.
-(l - 1)*(l + 1)*(l + 5)**2/7
Suppose -3*a**3 - 2808*a**2 - 11196*a - 11184 = 0. Calculate a.
-932, -2
Find a, given that -a**4 - 90*a**3 + 91*a**2 = 0.
-91, 0, 1
Find y, given that -5*y**2 + 130*y + 135 = 0.
-1, 27
Solve 10*d**3 + 5*d**2 = 0 for d.
-1/2, 0
Factor -4*i**3/5 - 584*i**2/5 - 1156*i/5 - 576/5.
-4*(i + 1)**2*(i + 144)/5
Solve 310*f**3 - 926*f**2 - 1252*f - 16 = 0.
-1, -2/155, 4
Factor l**3/3 - 364*l**2 + 727*l - 1090/3.
(l - 1090)*(l - 1)**2/3
Suppose 4*d**2/5 + 26016*d/5 + 42302016/5 = 0. Calculate d.
-3252
Factor 3*t**3/5 + 1029*t**2/5 - 4152*t/5 + 4164/5.
3*(t - 2)**2*(t + 347)/5
Suppose 45*l**4 + 915*l**3 + 1160*l**2 + 380*l = 0. What is l?
-19, -2/3, 0
Determine g, given that g**5/4 - 11*g**4/2 + 141*g**3/4 - 55*g**2 + 25*g = 0.
0, 1, 10
Factor -4*d**4 - 8*d**3 + 44*d**2 + 48*d.
-4*d*(d - 3)*(d + 1)*(d + 4)
Find i, given that 3*i**2/5 - 4104*i/5 + 1403568/5 = 0.
684
Let 90*p**5 - 3255*p**4 + 6775*p**3 - 4975*p**2 + 1535*p - 170 = 0. Calculate p.
1/3, 1/2, 1, 34
Factor d**3/4 + 5*d**2/4 - 12*d - 63.
(d - 7)*(d + 6)**2/4
Find g such that 175*g**5 + 44010*g**4 + 65095*g**3 + 23760*g**2 + 2500*g = 0.
-250, -1, -2/7, -1/5, 0
Suppose -1331*y**3/6 - 363*y**2/2 - 99*y/2 - 9/2 = 0. What is y?
-3/11
Determine x, given that -x**5 + 6*x**4 - 8*x**3 - 2*x**2 + 9*x - 4 = 0.
-1, 1, 4
Factor -2*q**3 - 48*q**2 - 238*q.
-2*q*(q + 7)*(q + 17)
Find c, given that -c**2 + 50*c + 275 = 0.
-5, 55
Solve w**2 + 12*w - 540 = 0 for w.
-30, 18
Factor -4*d**4 - 84*d**3 + 4*d**2 + 84*d.
-4*d*(d - 1)*(d + 1)*(d + 21)
Let -2*y**2/25 - 196*y/25 - 384/25 = 0. What is y?
-96, -2
Determine a, given that -20*a**2/7 + 472*a/7 + 192/7 = 0.
-2/5, 24
Factor -5*g**4/9 + 197*g**3/9 - 728*g**2/9 + 236*g/3.
-g*(g - 2)**2*(5*g - 177)/9
Factor v**2/8 - 3*v + 95/8.
(v - 19)*(v - 5)/8
Factor -h**5/2 - h**4/2 + 29*h**3/2 + 45*h**2/2 - 108*h - 216.
-(h - 4)**2*(h + 3)**3/2
Solve -w**3/3 + 23*w**2/3 + w/3 - 23/3 = 0.
-1, 1, 23
Solve 10*n**5 - 55*n**4 - 390*n**3 - 580*n**2 - 200*n = 0 for n.
-2, -1/2, 0, 10
What is j in -j**3/2 - 23*j**2 = 0?
-46, 0
Find d, given that -3*d**5 + 12*d**4 + 612*d**3 - 1878*d**2 + 1887*d - 630 = 0.
-14, 1, 15
Let 225*v**3/2 + 615*v**2/2 - 88*v + 6 = 0. What is v?
-3, 2/15
Factor 3*x**2/4 - 249*x/2 + 246.
3*(x - 164)*(x - 2)/4
Find q such that 5*q**5 - 5*q**4 - 335*q**3 + 965*q**2 - 630*q = 0.
-9, 0, 1, 2, 7
Factor -10*l**3 - 3638*l**2 - 14528*l/5 - 2904/5.
-2*(l + 363)*(5*l + 2)**2/5
Factor -b**3 + 36*b**2 - 68*b.
-b*(b - 34)*(b - 2)
Solve -162*x**4/13 + 84456*x**3/13 - 16511148*x**2/13 + 1434635304*x/13 - 46745200322/13 = 0 for x.
391/3
Let -3*c**2/5 - 1011*c/5 - 3996/5 = 0. What is c?
-333, -4
What is a in 3*a**2/4 - 615*a/4 = 0?
0, 205
Factor 5*s**3 - 60*s**2 + 25*s + 330.
5*(s - 11)*(s - 3)*(s + 2)
Factor m**3/10 + 78*m**2/5 + 6237*m/10 + 5929/5.
(m + 2)*(m + 77)**2/10
Determine x so that -3*x**3 + 6*x**2 + 3*x - 6 = 0.
-1, 1, 2
Factor 3*u*