*l**2/9 + 46*l/9 + 4/9 = 0. Calculate l.
-1, -2/19
Determine w so that 147*w**4 + 693*w**3 - 1215*w**2 - 6561*w = 0.
-27/7, 0, 3
Solve -2*o**4 + 508*o**3 - 30698*o**2 - 198120*o - 304200 = 0 for o.
-3, 130
Find u such that 25*u**5/2 - 140*u**4 + 282*u**3 + 296*u**2 + 64*u = 0.
-2/5, 0, 4, 8
Determine u, given that -2*u**4/7 + 76*u**3/7 + 6*u**2/7 - 232*u/7 + 152/7 = 0.
-2, 1, 38
What is j in 2*j**5/5 + 2*j**4/5 - 12*j**3/5 = 0?
-3, 0, 2
What is f in -10*f**3/9 + 34*f**2/9 + 56*f/3 - 8 = 0?
-3, 2/5, 6
Factor -q**3/6 + 31*q**2/6 - 105*q/2 + 351/2.
-(q - 13)*(q - 9)**2/6
Find y, given that y**3/6 + 5*y**2/6 - 4*y/3 - 2 = 0.
-6, -1, 2
Factor 4*b**5 - 96*b**3 - 256*b**2 - 192*b.
4*b*(b - 6)*(b + 2)**3
Factor -3*o**2 + 4866*o - 9720.
-3*(o - 1620)*(o - 2)
Solve 4*t**4/5 + 14*t**3/5 - 52*t**2/5 + 46*t/5 - 12/5 = 0 for t.
-6, 1/2, 1
What is r in -2*r**3/5 + 118*r**2/5 + 50*r - 366/5 = 0?
-3, 1, 61
Determine q so that 5*q**4 - 160*q**3 + 150*q**2 + 160*q - 155 = 0.
-1, 1, 31
Determine n, given that -6*n**3 + 6240*n**2 + 12489*n/2 + 3123/2 = 0.
-1/2, 1041
Factor 5*q**5 - 30*q**4 + 45*q**3.
5*q**3*(q - 3)**2
Solve 2*i**2 - 876*i + 95922 = 0.
219
Solve 4*k**4 + 20*k**3 - 12*k**2 - 52*k + 40 = 0.
-5, -2, 1
Solve f**4/3 - 41*f**3/3 + 125*f**2 + 877*f/3 + 460/3 = 0 for f.
-1, 20, 23
Determine l, given that 2*l**2 + 60*l + 112 = 0.
-28, -2
Factor -5*t**2 + 200*t - 720.
-5*(t - 36)*(t - 4)
Factor y**4/4 - 127*y**3 + 759*y**2/2 - 379*y + 505/4.
(y - 505)*(y - 1)**3/4
Suppose -3808*m**4 + 1556*m**3 - 48*m**2 = 0. What is m?
0, 4/119, 3/8
Suppose -2*d**4/9 - 10*d**3/9 + 4*d**2/3 = 0. Calculate d.
-6, 0, 1
What is p in -3*p**3 + 24*p**2 - 33*p - 60 = 0?
-1, 4, 5
Determine a, given that -2*a**4/3 - 32*a**3/3 + 658*a**2/3 - 904*a + 696 = 0.
-29, 1, 6
Factor -2*d**2/3 + 320*d + 1928/3.
-2*(d - 482)*(d + 2)/3
Solve 5*h**2 + 30470*h + 46421045 = 0.
-3047
Let -10*d**2 - 292*d/3 + 80/3 = 0. Calculate d.
-10, 4/15
What is v in -3*v**2 + 330*v - 327 = 0?
1, 109
Find n such that -n**3 + 26*n**2 - 185*n + 400 = 0.
5, 16
Let -2*l**4/7 - 4*l**3/7 + 134*l**2/7 - 248*l/7 + 120/7 = 0. What is l?
-10, 1, 6
What is b in 2*b**3/15 + 94*b**2/15 - 374*b/5 + 342/5 = 0?
-57, 1, 9
Find l, given that -l**3/4 - 3*l**2/2 - 9*l/4 = 0.
-3, 0
What is q in 4*q**2 + 36*q - 144 = 0?
-12, 3
Suppose 5*q**2 + 1540*q - 7825 = 0. What is q?
-313, 5
Find g, given that -g**5 - 4*g**4 + 6*g**3 + 4*g**2 - 5*g = 0.
-5, -1, 0, 1
Let f**3 + 183*f**2 + 8463*f + 8281 = 0. Calculate f.
-91, -1
What is s in -2*s**3 - 2*s**2 + 16*s + 24 = 0?
-2, 3
Suppose -4*o**4 - 164*o**3 - 1572*o**2 + 2772*o + 10584 = 0. Calculate o.
-21, -2, 3
Factor -z**3 + 8*z**2 - 19*z + 12.
-(z - 4)*(z - 3)*(z - 1)
Find j such that 2*j**5/3 - 6*j**4 + 14*j**3/3 + 6*j**2 - 16*j/3 = 0.
-1, 0, 1, 8
What is u in 4*u**5 + 28*u**4/5 - 132*u**3/5 - 76*u**2/5 + 112*u/5 + 48/5 = 0?
-3, -1, -2/5, 1, 2
Find d such that 3*d**5/7 + 69*d**4/7 + 345*d**3/7 + 699*d**2/7 + 624*d/7 + 204/7 = 0.
-17, -2, -1
Determine z so that 4*z**3/3 - 16*z**2/3 - 64*z/3 + 256/3 = 0.
-4, 4
Find k, given that -10*k**5 - 5*k**4 + 890*k**3 - 2795*k**2 + 1460*k + 1540 = 0.
-11, -1/2, 2, 7
Let -x**3 - 368*x**2 + 371*x + 738 = 0. Calculate x.
-369, -1, 2
Suppose 3*j**4 + 126*j**3 - 276*j**2 - 504*j + 1056 = 0. Calculate j.
-44, -2, 2
Determine n, given that 2*n**5/7 + 24*n**4/7 + 38*n**3/7 - 24*n**2/7 - 40*n/7 = 0.
-10, -2, -1, 0, 1
Let -2*t**4/21 - 116*t**3/21 - 1432*t**2/21 + 7316*t/21 - 1922/7 = 0. What is t?
-31, 1, 3
Factor -q**4 + 361*q**3 + 1465*q**2 - 1825*q.
-q*(q - 365)*(q - 1)*(q + 5)
Solve 12*d**4/7 + 92*d**3/7 + 172*d**2/7 + 52*d/7 - 40/7 = 0.
-5, -2, -1, 1/3
Factor -u**4/2 + 3*u**3/2 + 2*u**2.
-u**2*(u - 4)*(u + 1)/2
Let 36*n**3 + 332*n**2 + 360*n + 64 = 0. What is n?
-8, -1, -2/9
Factor -5*w**3 - 640*w**2 - 635*w.
-5*w*(w + 1)*(w + 127)
Determine c, given that c**3/2 + 156*c**2 - 630*c + 632 = 0.
-316, 2
Let i**3 + 23*i**2 + 42*i = 0. Calculate i.
-21, -2, 0
Suppose -m**3 + 51*m**2 + 105*m + 53 = 0. What is m?
-1, 53
Solve r**2 - 94*r - 95 = 0.
-1, 95
What is o in -3*o**4 - 3*o**3/4 + 123*o**2/8 - 15*o/4 = 0?
-5/2, 0, 1/4, 2
Factor -3*d**2/2 - 1088*d - 725/2.
-(d + 725)*(3*d + 1)/2
Factor 4*p**2 + 387*p - 97.
(p + 97)*(4*p - 1)
Determine i, given that 22*i**5/21 - 128*i**4/21 + 80*i**3/7 - 172*i**2/21 + 26*i/21 + 4/7 = 0.
-2/11, 1, 3
Suppose 5*z**5 + 40*z**4 + 20*z**3 - 400*z**2 - 320*z + 1280 = 0. Calculate z.
-4, 2
Suppose r**5/2 - r**4 - 2*r**3 + 4*r**2 = 0. What is r?
-2, 0, 2
Factor 5*l**2 + 15*l.
5*l*(l + 3)
Factor -2*t**2/15 - 902*t/15 - 60.
-2*(t + 1)*(t + 450)/15
Let -2*g**2/13 + 172*g/13 - 3698/13 = 0. What is g?
43
Factor -5*y**4 - 235*y**3 - 2035*y**2 + 2275*y.
-5*y*(y - 1)*(y + 13)*(y + 35)
Find f such that -96*f**5 + 2904*f**4 - 5850*f**3 - 10983*f**2/2 - 2931*f/2 - 126 = 0.
-1/4, 3, 28
Factor 5*v**2 + 5900*v + 1740500.
5*(v + 590)**2
Solve -c**2 - 18*c - 32 = 0.
-16, -2
Factor 5*m**4 - 60*m**3 - 75*m**2 + 130*m.
5*m*(m - 13)*(m - 1)*(m + 2)
Determine v so that -v**2/3 + 9*v - 140/3 = 0.
7, 20
Let 2*m**2 + 1860*m + 3712 = 0. Calculate m.
-928, -2
Find n such that -n**3/4 + 38*n**2 - 75*n = 0.
0, 2, 150
Find d, given that 5*d**2 + 70*d - 160 = 0.
-16, 2
Determine g so that 4*g**5/11 + 70*g**4/11 - 1456*g**3/11 + 6518*g**2/11 - 7368*g/11 + 2232/11 = 0.
-31, 1/2, 1, 6
Factor 10*c**3/9 - 14*c**2/9 - 16*c/9 + 8/9.
2*(c - 2)*(c + 1)*(5*c - 2)/9
Suppose 5*v**3/4 - 229*v**2/2 - 187*v/4 + 69 = 0. Calculate v.
-1, 3/5, 92
Solve -21*k**4/4 - 183*k**3/4 + 495*k**2/4 - 357*k/4 + 33/2 = 0.
-11, 2/7, 1
Factor 2*x**2/3 + 1400*x/3 + 245000/3.
2*(x + 350)**2/3
Factor -4*t**4 - 276*t**3 - 3576*t**2 + 45904*t + 103968.
-4*(t - 9)*(t + 2)*(t + 38)**2
Factor x**4/3 + 79*x**3/3 - 259*x**2 + 1313*x/3 - 616/3.
(x - 7)*(x - 1)**2*(x + 88)/3
Factor 2*s**4/19 + 210*s**3/19 - 426*s**2/19 + 214*s/19.
2*s*(s - 1)**2*(s + 107)/19
Suppose 96*g**5 - 688*g**4 - 618*g**3 - 174*g**2 - 16*g = 0. Calculate g.
-1/3, -1/4, 0, 8
Find d, given that 3*d**4/5 + 27*d**3 + 129*d**2/5 - 27*d - 132/5 = 0.
-44, -1, 1
Factor -115*j**2 + 5740*j + 500.
-5*(j - 50)*(23*j + 2)
Factor -200*k**2 + 520*k - 338.
-2*(10*k - 13)**2
Factor 4*o**3 - 56*o**2 + 36*o + 1296.
4*(o - 9)**2*(o + 4)
Factor c**2 - 349*c + 694.
(c - 347)*(c - 2)
Find l, given that -35*l**4 - 45*l**3 - 10*l**2 = 0.
-1, -2/7, 0
Factor -b**4/3 + 12*b**3 + 39*b**2 + 4*b/3 - 52.
-(b - 39)*(b - 1)*(b + 2)**2/3
Solve -12*m**4 - 104*m**3 + 836*m**2 - 912*m - 1008 = 0 for m.
-14, -2/3, 3
Find n, given that 4*n**2/5 - 738*n/5 + 364 = 0.
5/2, 182
Factor -14*h**3/3 + 10*h**2/3 + 4*h/3.
-2*h*(h - 1)*(7*h + 2)/3
Let -5*t**3 - 315*t**2 - 4080*t + 28900 = 0. What is t?
-34, 5
Suppose -5*r**3 + 185*r**2 + 190*r = 0. What is r?
-1, 0, 38
Factor 2*i**2/3 + 144*i + 7776.
2*(i + 108)**2/3
Let -16*f**5/17 - 4*f**4/17 + 58*f**3/17 + 2*f**2 - 12*f/17 = 0. What is f?
-3/2, -1, 0, 1/4, 2
Let 2*p**5 - 494*p**4/3 + 616*p**3/3 + 2624*p**2/3 - 2560*p/3 - 864 = 0. Calculate p.
-2, -2/3, 2, 81
Factor x**3/9 + 332*x**2/9 + 661*x/9 + 110/3.
(x + 1)**2*(x + 330)/9
Factor 2*n**3/9 + 32*n**2/9 - 34*n/9.
2*n*(n - 1)*(n + 17)/9
Determine n so that n**5/11 - 3*n**4 + 305*n**3/11 - 615*n**2/11 - 306*n/11 + 648/11 = 0.
-1, 1, 3, 12, 18
Factor -2*l**2/3 + 3644*l/3.
-2*l*(l - 1822)/3
Suppose 4*i**2 - 100*i - 104 = 0. What is i?
-1, 26
Factor c**5/2 - 315*c**4/2 + 16215*c**3 - 510925*c**2 - 7041135*c/2 - 11025387/2.
(c - 107)**3*(c + 3)**2/2
Factor 2*j**3/9 - 26*j**2/9 + 32*j/3 - 8.
2*(j - 6)**2*(j - 1)/9
Factor -2*p**2 + 3232*p + 9714.
-2*(p - 1619)*(p + 3)
Find h such that h**2/5 + 3062*h/5 + 2343961/5 = 0.
-1531
Let 4*u**4 - 7*u**3 - u**2 + 7*u - 3 = 0. What is u?
-1, 3/4, 1
Solve 5*q**4/2 + 25*q**3 - 35*q**2/2 - 190*q - 150 = 0 for q.
-10, -2, -1, 3
Solve 28*j**4/9 + 146*j**3 + 1906*j**2 + 39424*j/9 - 968/3 = 0.
-22, -3, 1/14
Determine z, given that 4*z**5 - 152*z**4 + 800*z**3 - 1000*z**2 - 804*z + 1152 = 0.
-1, 1, 3, 32
Let n**2 - 9*n - 22 = 0. Calculate n.
-2, 11
Factor 5*t**4 - 990*t**3 + 3900*t**2 - 3880*t.
5*t*(t - 194)*(t - 2)**2
What is h in 7*h**3 - 69*h**2 + 53*h + 9 = 0?
-1/7, 1, 9
Factor -4*k**3 - 161*k**2 - 40*k.
-k*(k + 40)*(4*k + 1)
Solve -9*a**5 + 20*a**4 + 59*a**3 + 22*a**2 - 8*a = 0.
-1, 0, 2/9, 4
Factor -5*o**2 + 155*o - 290.
-5*(o - 29)*(o - 2)
Factor 