**5 - 644*a**4 + 2166*a**3 - 1456*a**2 - 120*a = 0.
-2/27, 0, 1, 5, 6
Determine r, given that r**4/2 - 75*r**3 + 387*r**2/2 + 4025*r - 8232 = 0.
-7, 2, 8, 147
Factor 5*z**3 + 6030*z**2 + 1899525*z + 48568940.
5*(z + 28)*(z + 589)**2
Factor 2*f**4/3 + 3880*f**3/3 + 3876*f**2 + 11624*f/3 + 3874/3.
2*(f + 1)**3*(f + 1937)/3
Determine s so that -2680*s**3 - 37495*s**2 + 137030*s - 1275 = 0.
-17, 5/536, 3
Determine h so that -4*h**2 - 1056*h + 8704 = 0.
-272, 8
Let 9*a**5 - 14237*a**4/5 + 74783*a**3/5 + 148749*a**2/5 + 68392*a/5 + 8708/5 = 0. What is a?
-1, -2/5, -2/9, 7, 311
Determine g so that 8*g**4/3 + 314*g**3/3 - 80*g**2 = 0.
-40, 0, 3/4
Factor -45*z**2 + 136205*z + 682150.
-5*(z + 5)*(9*z - 27286)
Suppose -2*l**2/5 - 276680*l - 47844889000 = 0. Calculate l.
-345850
What is s in 5*s**4 + 35*s**3 - 4640*s**2 + 9100*s = 0?
-35, 0, 2, 26
Find d such that -3*d**3/5 - 27*d**2 + 45732*d/5 = 0.
-148, 0, 103
Suppose 1268*r**2 + 40594*r + 576 = 0. Calculate r.
-32, -9/634
Let j**3 - 9877*j**2 + 59235*j - 88839 = 0. Calculate j.
3, 9871
Factor -2*a**2/5 - 46356*a/5 - 268609842/5.
-2*(a + 11589)**2/5
Solve -2*d**2 - 44782*d + 89572 = 0.
-22393, 2
Find t, given that 246*t**4 + 94*t**3 - 980*t**2 - 376*t - 16 = 0.
-2, -1/3, -2/41, 2
Find k such that k**4/4 - 3*k**3/4 - 11*k**2/2 + 6*k = 0.
-4, 0, 1, 6
Find s such that 5*s**4 - 780*s**3 + 30420*s**2 = 0.
0, 78
Factor -5*s**3/2 + 1340*s**2 + 168055*s/2 + 1248885.
-5*(s - 594)*(s + 29)**2/2
Factor 14*b**3 - 103212*b**2 + 190241832*b - 54346384.
2*(b - 3686)**2*(7*b - 2)
Factor -4*n**2 - 1132*n - 22968.
-4*(n + 22)*(n + 261)
Factor -5*z**2 - 6935*z - 613700.
-5*(z + 95)*(z + 1292)
Suppose i**5 + 1626*i**4/5 + 155081*i**3/5 + 3546792*i**2/5 + 115924*i - 2813712/5 = 0. Calculate i.
-146, -33, -1, 4/5
Factor -81*q**2/2 + 1505*q/2 + 793.
-(q + 1)*(81*q - 1586)/2
Solve -4*r**4 + 16060*r**3 - 21498984*r**2 + 9602868816*r - 9581385888 = 0 for r.
1, 1338
Suppose 320*y**3 - 75920*y**2 + 94525*y - 29500 = 0. Calculate y.
5/8, 236
Factor -j**2/2 - 671*j/2 - 46964.
-(j + 199)*(j + 472)/2
Factor 519*p**2 + 593214*p - 3429.
3*(p + 1143)*(173*p - 1)
Let -5*m**2/2 - 690*m - 1370 = 0. Calculate m.
-274, -2
Factor 47568609*m**3/4 - 142733415*m**2/4 + 20692*m - 3.
(m - 3)*(6897*m - 2)**2/4
Find u such that 2*u**3/3 + 34428*u**2 - 68858*u + 103288/3 = 0.
-51644, 1
Factor s**3 + 10581*s**2.
s**2*(s + 10581)
Factor -5*j**2 + 10345*j - 335940.
-5*(j - 2036)*(j - 33)
Find h such that 4*h**5 - 80*h**4 - 348*h**3 + 15128*h**2 - 85072*h + 113568 = 0.
-14, 2, 6, 13
Factor 4*v**2 + 1236*v + 57456.
4*(v + 57)*(v + 252)
Solve a**5 - 236*a**4 + 11491*a**3 - 11256*a**2 = 0 for a.
0, 1, 67, 168
Suppose -50*h**4 + 15770*h**3 - 37632*h**2 + 22536*h = 0. What is h?
0, 6/5, 313
Factor -3*t**2 + 1398*t.
-3*t*(t - 466)
Suppose -3*h**5 + 51*h**4 + 186*h**3 - 84*h**2 - 696*h - 480 = 0. What is h?
-2, -1, 2, 20
Factor 2*r**3/9 + 10*r**2 - 128*r/3 + 392/9.
2*(r - 2)**2*(r + 49)/9
Factor 4*v**3/7 + 26248*v**2/7 + 42875520*v/7 - 86487552.
4*(v - 14)*(v + 3288)**2/7
Determine h so that h**5/9 + 73*h**4/9 + 122*h**3 + 690*h**2 + 1677*h + 1485 = 0.
-55, -9, -3
Solve 3*d**2 - 51066*d + 217311363 = 0.
8511
Solve 228488*h**3/15 - 21188544*h**2 + 626878*h/5 - 2782/15 = 0.
1/338, 1391
Determine r, given that -r**4/9 + 88*r**3/9 + 131*r**2 + 2090*r/9 + 1000/9 = 0.
-10, -1, 100
Solve -2*g**5/3 + 14*g**4/3 - 10*g**3/3 - 110*g**2/3 + 84*g - 48 = 0.
-3, 1, 2, 3, 4
Factor 324*k**4/5 - 45072*k**3 + 39137488*k**2/5 + 3485568*k + 1937664/5.
4*(k - 348)**2*(9*k + 2)**2/5
Let -5*q**5 - 475*q**4 + 9515*q**3 + 71035*q**2 + 61050*q = 0. Calculate q.
-111, -5, -1, 0, 22
Suppose 9*o**5/4 + 42*o**4 - 537*o**3/2 + 456*o**2 - 1143*o/4 + 54 = 0. What is o?
-24, 1/3, 1, 3
Factor 3*p**2/7 + 2679*p/7.
3*p*(p + 893)/7
Factor k**3/2 - 353*k**2/2 - 4369*k/2 - 4015/2.
(k - 365)*(k + 1)*(k + 11)/2
Factor -o**5 + 6100*o**4 - 6090*o**3 - 54880*o**2 - 67085*o - 24396.
-(o - 6099)*(o - 4)*(o + 1)**3
Suppose -y**5 + 82*y**4 - 987*y**3 + 2402*y**2 - 1496*y = 0. Calculate y.
0, 1, 2, 11, 68
Factor -2*r**2/11 + 10436*r/11 - 20864/11.
-2*(r - 5216)*(r - 2)/11
Factor -3*o**3 - 597*o**2 - 34977*o - 499023.
-3*(o + 21)*(o + 89)**2
Let z**5/2 - 32*z**4 - 34*z**3 + 97*z**2 + 67*z/2 - 65 = 0. Calculate z.
-2, -1, 1, 65
What is g in -4*g**3 - 93412*g**2 - 186812*g - 93404 = 0?
-23351, -1
Determine u, given that -2*u**3/11 + 8*u**2 + 3176*u/11 + 544 = 0.
-22, -2, 68
Solve 3*r**4/8 + 165*r**3/8 - 1551*r**2/8 - 28065*r/8 - 3294 = 0.
-61, -9, -1, 16
Let 2*n**5/13 + 74*n**4/13 + 1006*n**3/13 + 5758*n**2/13 + 720*n - 16200/13 = 0. Calculate n.
-10, -9, 1
Factor -2*l**3 + 942*l**2 - 33532*l - 70848.
-2*(l - 432)*(l - 41)*(l + 2)
Find t such that 2*t**4/3 - 98*t**3/3 + 652*t**2/3 + 2672*t/3 + 640 = 0.
-2, -1, 12, 40
Factor -3*h**2/7 + 10779*h/7 - 3078.
-3*(h - 3591)*(h - 2)/7
Factor 3*x**3/5 + 79074*x**2/5 - 31632*x.
3*x*(x - 2)*(x + 26360)/5
Factor 3*v**4 - 315279*v**3 + 11045169135*v**2 - 129011249653581*v + 773669939929002.
3*(v - 35029)**3*(v - 6)
Factor 3*m**2/5 + 200466*m/5 + 3348884763/5.
3*(m + 33411)**2/5
Factor 5*p**2 + 10535*p + 198360.
5*(p + 19)*(p + 2088)
Factor 4*j**2 - 51016*j/3 + 162664516/9.
4*(3*j - 6377)**2/9
Solve 10*b**4/7 + 251*b**3/7 + 1373*b**2/7 - 2330*b/7 + 696/7 = 0.
-29/2, -12, 2/5, 1
Determine w so that 2*w**3/5 + 72*w**2/5 - 11766*w - 11780 = 0.
-190, -1, 155
Solve -980*t**4 + 11736*t**3 - 34992*t**2 + 30496*t + 768 = 0 for t.
-6/245, 2, 8
Factor 106*c**3 + 408*c**2 - 1240*c.
2*c*(c - 2)*(53*c + 310)
Let -2*q**3/11 + 268*q**2/11 + 18*q/11 - 2412/11 = 0. Calculate q.
-3, 3, 134
Factor -3*m**3 - 1374*m**2 + 15477*m.
-3*m*(m - 11)*(m + 469)
Suppose -5*s**3 + 16270*s**2 - 65020*s + 65000 = 0. What is s?
2, 3250
Factor d**2/9 - 449230*d/3 + 50451898225.
(d - 673845)**2/9
Factor 2*w**3/17 + 25246*w**2/17 + 79682686*w/17 + 79657442/17.
2*(w + 1)*(w + 6311)**2/17
Factor -27*b**5 + 1080*b**4 - 1035*b**3 - 730*b**2 + 1100*b - 312.
-(b - 39)*(b + 1)*(3*b - 2)**3
Solve -50*n**4/7 - 104*n**3/7 - 58*n**2/7 - 4*n/7 = 0 for n.
-1, -2/25, 0
Suppose o**3/4 - 4956*o**2 + 24561936*o = 0. What is o?
0, 9912
Factor -2*q**2/3 - 6694*q/3 - 6692/3.
-2*(q + 1)*(q + 3346)/3
What is s in -s**3/4 - 1077*s**2/4 - 95634*s - 11173140 = 0?
-396, -285
What is b in -3*b**5/4 + b**4 + 15*b**3/4 - 5*b**2 - 3*b + 4 = 0?
-2, -1, 1, 4/3, 2
Factor -2*c**3/9 - 316*c**2/9 - 12482*c/9.
-2*c*(c + 79)**2/9
Factor 5*z**5 - 395*z**4 + 6090*z**3 + 46420*z**2 + 99560*z + 68640.
5*(z - 52)*(z - 33)*(z + 2)**3
Factor -o**2 - 385*o.
-o*(o + 385)
Suppose r**2 + 7024*r - 21081 = 0. What is r?
-7027, 3
Factor k**3/6 - 145*k**2/6 - 124*k - 150.
(k - 150)*(k + 2)*(k + 3)/6
Find u such that 5*u**4 + 11295*u**3 + 56350*u**2 = 0.
-2254, -5, 0
Factor -72*s**2/5 + 534*s/5 - 612/5.
-6*(s - 6)*(12*s - 17)/5
Determine a, given that 2*a**2/3 + 72*a + 4264/3 = 0.
-82, -26
Factor -q**3/4 + 241*q**2/4 - 57*q - 720.
-(q - 240)*(q - 4)*(q + 3)/4
Factor t**5 - 542*t**4 + 99340*t**3 - 6408712*t**2 + 46638848*t - 90236032.
(t - 178)**3*(t - 4)**2
Determine x so that x**5 - 136*x**4 + 4829*x**3 - 10214*x**2 - 232980*x - 217800 = 0.
-5, -1, 10, 66
Suppose 6*r**5/7 - 2194*r**4/7 - 1264*r**3 - 8872*r**2/7 = 0. What is r?
-2, 0, 1109/3
Let -c**2/2 + 105694*c - 211387/2 = 0. Calculate c.
1, 211387
Factor -15*g**3 - 260643*g**2 - 1132272288*g - 226444032.
-3*(g + 8688)**2*(5*g + 1)
Factor -g**4 + 230*g**3 - 12757*g**2 - 53820*g - 54756.
-(g - 117)**2*(g + 2)**2
Suppose 15*x**3 + 531*x**2 - 951*x - 2331 = 0. Calculate x.
-37, -7/5, 3
Factor -2*d**2/3 - 22*d/3 + 952/3.
-2*(d - 17)*(d + 28)/3
What is q in -q**5/2 + 207*q**4 - 20790*q**3 - 132300*q**2 = 0?
-6, 0, 210
Factor -3*d**2/2 - 507*d/2 + 54498.
-3*(d - 124)*(d + 293)/2
Suppose 3*h**3/5 + 384*h**2/5 - 27*h/5 - 3456/5 = 0. What is h?
-128, -3, 3
Let 4*h**3 + 1164*h**2 + 68876*h + 67716 = 0. What is h?
-209, -81, -1
Factor -2*g**2/7 - 214708*g/7 - 5762440658/7.
-2*(g + 53677)**2/7
Suppose 6160*t**5 - 83000*t**4 - 380615*t**3 + 194605*t**2 - 20870*t - 680 = 0. Calculate t.
-4, -2/77, 1/4, 17
Determine m, given that -3*m**3 - 53760*m**2 - 215004*m - 214992 = 0.
-17916, -2
Factor 4*a**2 + 2924*a + 5832.
4*(a + 2)*(a + 729)
Suppose 2*n**3/5 - 86*n**2 - 11228*n/5 + 13328 = 0. What is n?
-28, 5, 238
What is y in 