y**2 + 144*y/5 + 216/5.
2*(y + 3)*(y + 6)**2/5
Factor 2*o**2/3 - 482468*o + 87290764134.
2*(o - 361851)**2/3
Suppose -2*c**3 - 3476*c**2 + 17418*c - 20916 = 0. Calculate c.
-1743, 2, 3
Factor -2*i**2/13 + 2768*i/13 - 13790/13.
-2*(i - 1379)*(i - 5)/13
Let 5*n**4 + 1680*n**3 - 1695*n**2 - 3370*n = 0. Calculate n.
-337, -1, 0, 2
Suppose -2*t**2 - 11226*t = 0. What is t?
-5613, 0
Factor 3*h**2 + 16338*h - 212901.
3*(h - 13)*(h + 5459)
Factor 28*i**2 + 157532*i - 135048.
4*(i + 5627)*(7*i - 6)
Suppose -2*o**4 + 79*o**3 + 13443*o**2 + 32949*o - 19845 = 0. What is o?
-63, -3, 1/2, 105
Factor -q**3/3 - 1985*q**2/3 + 662*q.
-q*(q - 1)*(q + 1986)/3
Suppose -2*b**5/11 + 295*b**4/11 + 160*b**3/11 - 1785*b**2/11 + 1332*b/11 = 0. Calculate b.
-3, 0, 1, 3/2, 148
Suppose -g**2/9 - 5180*g/3 = 0. What is g?
-15540, 0
Solve v**5/2 - 8*v**4 - 333*v**3/2 - 92*v**2 + 1334*v + 1848 = 0.
-11, -2, 3, 28
Factor 11804*s**3 - 59016*s**2 + 47196*s + 16.
4*(s - 4)*(s - 1)*(2951*s + 1)
Factor -b**3/6 - 6997*b**2/6 - 12249991*b/6 - 12229009/2.
-(b + 3)*(b + 3497)**2/6
Factor -2*m**4 + 5612*m**3 - 3953618*m**2 + 23570400*m - 35280000.
-2*(m - 1400)**2*(m - 3)**2
Let 3*l**2/8 + 1497*l/2 + 5964 = 0. What is l?
-1988, -8
Find c, given that c**3/4 - 303*c**2/4 + 301*c/2 = 0.
0, 2, 301
Determine z, given that 5*z**5 + 1990*z**4 + 41900*z**3 + 204040*z**2 + 376640*z + 240640 = 0.
-376, -16, -2
Solve 2*n**2/11 + 34746*n/11 - 312876/11 = 0.
-17382, 9
Determine z, given that 5*z**5 + 40*z**4 + 120*z**3 + 170*z**2 + 115*z + 30 = 0.
-3, -2, -1
Factor 2*l**2/3 + 696200*l/3 + 60586805000/3.
2*(l + 174050)**2/3
Factor 2*n**4 + 112*n**3 + 1450*n**2 - 1564*n.
2*n*(n - 1)*(n + 23)*(n + 34)
Factor -m**3 - 28425*m**2 - 198926*m.
-m*(m + 7)*(m + 28418)
What is a in 2*a**3 - 788*a**2 + 78400*a - 153664 = 0?
2, 196
Find h, given that 5*h**5 + 25*h**4 - 135*h**3 - 625*h**2 + 130*h + 600 = 0.
-6, -4, -1, 1, 5
Solve -2*a**2/11 + 5560*a/11 - 22208/11 = 0 for a.
4, 2776
Factor 3*v**3/7 - 96*v**2/7 + 549*v/7 + 648/7.
3*(v - 24)*(v - 9)*(v + 1)/7
Factor -74*k**2/15 + 7846*k/15 - 7772/15.
-2*(k - 1)*(37*k - 3886)/15
Factor -4*c**2 + 3892*c - 57480.
-4*(c - 958)*(c - 15)
Suppose 4*g**2 + 21080*g + 231396 = 0. Calculate g.
-5259, -11
Solve 2*t**4 + 169432*t**3/3 + 531608588*t**2 + 1667892406856*t - 1668069615994/3 = 0.
-9413, 1/3
Factor 2*m**2/7 - 2529556*m/7 + 799831694642/7.
2*(m - 632389)**2/7
Find p such that -4*p**4 + 600*p**2 - 1120*p - 1716 = 0.
-13, -1, 3, 11
Let -3*g**5 - 303*g**4 - 8022*g**3 + 47034*g**2 + 3080025*g + 3025269 = 0. What is g?
-39, -1, 17
Solve -4*h**5 - 1032*h**4 + 136*h**3 + 34704*h**2 - 98820*h + 65016 = 0.
-258, -7, 1, 3
Factor 2*j**2/11 + 1037186*j/11 - 1037188/11.
2*(j - 1)*(j + 518594)/11
Let -2*z**5/17 - 8464*z**4/17 + 16942*z**3/17 + 25388*z**2/17 - 67736*z/17 + 33872/17 = 0. What is z?
-4234, -2, 1, 2
Factor -f**2 - 131269*f + 262542.
-(f - 2)*(f + 131271)
Factor 2*a**2/7 + 704*a/7 + 3170.
2*(a + 35)*(a + 317)/7
Factor u**3 - 216*u**2 + 428*u.
u*(u - 214)*(u - 2)
Determine y so that -2*y**5/11 - 84*y**4/11 - 1030*y**3/11 - 3308*y**2/11 + 6840*y/11 + 9200/11 = 0.
-23, -10, -1, 2
Factor -2*h**3 - 5934*h**2 - 4404510*h - 4398578.
-2*(h + 1)*(h + 1483)**2
Factor 5*l**2/2 + 13795*l/2 + 20670.
5*(l + 3)*(l + 2756)/2
Suppose -2*y**4 + 70*y**3 + 474*y**2 + 738*y = 0. Calculate y.
-3, 0, 41
Find c such that -4*c**4 - 118*c**3/5 + 1974*c**2/5 + 16336*c/5 + 31328/5 = 0.
-89/10, -4, 11
Factor 2*u**5 + 374*u**4 + 1110*u**3 + 1106*u**2 + 368*u.
2*u*(u + 1)**3*(u + 184)
Factor -2*j**2 + 283238*j + 283240.
-2*(j - 141620)*(j + 1)
Find c such that 3*c**5 - 315*c**4 - 4503*c**3 - 11589*c**2 - 10944*c - 3540 = 0.
-10, -1, 118
Factor -3*x**2 + 14859*x - 14856.
-3*(x - 4952)*(x - 1)
Factor -2*n**2 + 2806156*n - 984313937042.
-2*(n - 701539)**2
Let 372932505124*t**2 - 2442728*t + 4 = 0. Calculate t.
1/305341
Solve q**2 - 79576*q - 79577 = 0.
-1, 79577
What is d in d**3/2 + 2*d**2 - 501*d/2 + 1620 = 0?
-27, 8, 15
Factor 5*n**2 + 792470*n + 31400435045.
5*(n + 79247)**2
Factor -o**2/4 - 577*o/4 + 2637/2.
-(o - 9)*(o + 586)/4
Let -3*w**5/2 + 9*w**4/2 + 1020*w**3 + 990*w**2 - 4056*w - 4032 = 0. What is w?
-24, -2, -1, 2, 28
Factor -4*t**2 - 6288*t - 12560.
-4*(t + 2)*(t + 1570)
Solve -j**4/3 - 107*j**3/9 - 658*j**2/9 + 1228*j/9 + 120 = 0 for j.
-27, -10, -2/3, 2
Let 4*s**2/7 - 12176*s/7 - 24368/7 = 0. What is s?
-2, 3046
Factor 2*x**2 + 41936*x - 41938.
2*(x - 1)*(x + 20969)
Let -l**4 - 509*l**3 + 2566*l**2 - 2056*l = 0. Calculate l.
-514, 0, 1, 4
Find d such that -15*d**4 + 42351*d**3 + 365262*d**2 + 186960*d - 135936 = 0.
-8, -1, 2/5, 2832
Factor -p**5 - 7*p**4 - 14*p**3 - 8*p**2.
-p**2*(p + 1)*(p + 2)*(p + 4)
Solve 5*f**3 + 198460*f**2 + 396905*f + 198450 = 0 for f.
-39690, -1
Determine o so that -3*o**5/8 - 153*o**4/8 + 717*o**3/8 + 3177*o**2/8 + 1155*o/4 = 0.
-55, -2, -1, 0, 7
Factor -z**5 - 36*z**4 + 75*z**3 - 38*z**2.
-z**2*(z - 1)**2*(z + 38)
Find g, given that g**4/4 - 1772*g**3 - 21271*g**2/4 - 7091*g/2 = 0.
-2, -1, 0, 7091
Suppose 2*f**3/21 + 2486*f**2/7 + 37252*f/21 + 2128 = 0. What is f?
-3724, -3, -2
Determine o so that o**4 - 220*o**3 + 5018*o**2 - 27716*o - 32955 = 0.
-1, 13, 195
Factor u**3/6 + 92*u**2/3 + 8213*u/6 + 4015/3.
(u + 1)*(u + 73)*(u + 110)/6
Solve 3*f**2/5 - 1570128*f/5 + 205441828032/5 = 0 for f.
261688
Suppose -y**3 + 257*y**2 - 12720*y + 177300 = 0. What is y?
30, 197
What is c in -4*c**3/7 + 18456*c**2/7 + 18468*c/7 - 36920/7 = 0?
-2, 1, 4615
Factor -2*o**3/5 - 18*o**2 + 5996*o/5 - 5904/5.
-2*(o - 36)*(o - 1)*(o + 82)/5
Suppose -2*z**2/7 + 33830*z - 236808/7 = 0. What is z?
1, 118404
Find c, given that -4*c**2 + 8143832*c - 4145124977764 = 0.
1017979
Factor j**4/6 - 11*j**3/2 + 52*j**2/3 + 58*j.
j*(j - 29)*(j - 6)*(j + 2)/6
Let 2*d**3/5 + 4*d**2 - 6448*d/5 = 0. What is d?
-62, 0, 52
Suppose 4*q**2 - 1726288*q + 186254391184 = 0. What is q?
215786
Factor -3*o**3 - 2472*o**2 - 34167*o - 119070.
-3*(o + 7)**2*(o + 810)
Let -i**3 + 1086*i**2 - 303345*i + 4579600 = 0. Calculate i.
16, 535
Determine f so that 3*f**5/4 - 49*f**4/4 + 129*f**3/2 - 119*f**2 + 66*f = 0.
0, 1, 2, 6, 22/3
Solve -4*b**5 + 112*b**4 + 1896*b**3 - 4752*b**2 - 88452*b = 0 for b.
-9, 0, 7, 39
Let 2*f**5/7 + 34*f**4/7 + 54*f**3/7 - 90*f**2/7 = 0. What is f?
-15, -3, 0, 1
Find h such that 3*h**4 + 3684*h**3 + 1123569*h**2 - 4571952*h - 5691840 = 0.
-616, -1, 5
Suppose -2*x**2 + 188*x + 326880 = 0. What is x?
-360, 454
Determine i, given that i**3/5 - 3584*i**2/5 - i/5 + 3584/5 = 0.
-1, 1, 3584
Determine d, given that -3370800*d**2 + 82680*d - 507 = 0.
13/1060
Factor -i**3 - 99*i**2 + 1300*i - 3552.
-(i - 8)*(i - 4)*(i + 111)
Find i such that 5*i**4 + 400*i**3 - 1230*i**2 + 1240*i - 415 = 0.
-83, 1
Solve -i**5 - 484*i**4 + 4458*i**3 + 10364*i**2 + 5423*i = 0.
-493, -1, 0, 11
Find n, given that n**3 - 11625*n**2 - 23253*n - 11627 = 0.
-1, 11627
Find r such that 25*r**4 + 935*r**3 + 8775*r**2 + 26365*r + 18500 = 0.
-25, -37/5, -4, -1
Factor -l**3/4 - 1111*l**2/2 - 930353*l/4 + 89116019.
-(l - 236)*(l + 1229)**2/4
Find u such that 3*u**4/8 + 162*u**3 + 25515*u**2 + 1749600*u + 44286750 = 0.
-162, -90
Solve -5*g**2 - 5715*g - 1628710 = 0.
-601, -542
Factor f**2/8 + 99*f/4 + 5957/8.
(f + 37)*(f + 161)/8
Solve -m**5/9 + 4*m**4 - 365*m**3/9 - 14*m**2/3 + 1640*m - 4800 = 0.
-6, 4, 8, 15
Factor -5*f**2 - 43705*f + 43710.
-5*(f - 1)*(f + 8742)
Let -7*m**4 - 17468*m**3 + 44976*m**2 + 29936*m - 99920 = 0. What is m?
-2498, -10/7, 2
Factor n**4/10 + 9*n**3/5 - 91*n**2/10 - 24*n/5 + 198/5.
(n - 3)**2*(n + 2)*(n + 22)/10
Determine h so that 35*h**5/2 - 565*h**4 + 615*h**3 + 2530*h**2 + 1735*h/2 - 465 = 0.
-1, 2/7, 3, 31
Suppose -3*x**3 - 4656*x**2 - 4653*x = 0. What is x?
-1551, -1, 0
Factor m**4/3 + 433*m**3 - 867*m**2 + 1301*m/3.
m*(m - 1)**2*(m + 1301)/3
Find r, given that 5*r**2 - 47775*r - 239000 = 0.
-5, 9560
What is g in -3*g**5 - 123*g**4 + 984*g**3 - 1200*g**2 - 2304*g = 0?
-48, -1, 0, 4
Suppose 17*q**4/4 + 387*q**3/4 - 539*q**2/2 - 792*q + 200 = 0. What is q?
-25, -2, 4/17, 4
Determine o so that 31205*o**4 + 1132070*o**3 + 3402740*o**2 + 882090*o + 59895 = 0.
-33, -3, -11/79
Factor -36*l**2 + 420328*l + 93408.
-4*(l - 11676)*(9*l + 2)
Find p such that -48*p**5 - 2040*p**4 - 13059*p**3 - 16230*p**2 - 579