Factor -2*c**5/3 - 124*c**4/3 + 362*c**3 + 93248*c**2/3 - 1131008*c/3.
-2*c*(c - 16)**2*(c + 47)**2/3
Determine m so that -2*m**5/5 + 232*m**4/5 - 8554*m**3/5 + 97196*m**2/5 = 0.
0, 22, 47
Factor 18*u**3 - 1184*u**2 - 1470*u - 268.
2*(u - 67)*(u + 1)*(9*u + 2)
Suppose -2*w**2 - 53768*w + 215104 = 0. What is w?
-26888, 4
Factor -27*w**3/2 + 163491*w**2/2 - 18165*w.
-3*w*(w - 6055)*(9*w - 2)/2
Factor 89*j**3 + 36*j**2 - 195*j - 142.
(j + 1)**2*(89*j - 142)
Factor -2*r**2/3 - 46*r - 520/3.
-2*(r + 4)*(r + 65)/3
Determine h so that -2*h**4/3 + 303*h**3/2 - 211*h**2/6 - 606*h + 454/3 = 0.
-2, 1/4, 2, 227
Solve 39*i**3 + 34896*i**2 - 78021*i + 16146 = 0.
-897, 3/13, 2
Find f, given that -f**3/4 + 13*f**2/4 + 2*f - 60 = 0.
-4, 5, 12
Factor -2*z**3/5 + 75416*z**2/5 - 710946632*z/5.
-2*z*(z - 18854)**2/5
Factor -5*z**2 + 2459*z - 51230.
-(z - 470)*(5*z - 109)
Solve 5*j**3 + 30*j**2 - 12945*j - 25970 = 0 for j.
-53, -2, 49
Solve -2*p**3/13 - 544*p**2/13 - 35720*p/13 + 5664 = 0.
-156, -118, 2
Determine z so that z**2/5 + 2073*z/5 + 8276/5 = 0.
-2069, -4
Determine o so that -69*o**3/5 + 9938*o**2/5 - 92748*o/5 + 536 = 0.
2/69, 10, 134
Factor -2*q**2/3 + 7676*q/3 + 23082.
-2*(q - 3847)*(q + 9)/3
Find r such that -3*r**2/8 + 221697*r/2 - 16383186603/2 = 0.
147798
Find o such that -3*o**4 - 7914*o**3 - 5219271*o**2 + 31656*o + 20877132 = 0.
-1319, -2, 2
Factor -3*x**3/5 - 6468*x**2/5 - 702396*x - 27683424/5.
-3*(x + 8)*(x + 1074)**2/5
Find w such that -332*w**5 - 28212*w**4 + 147424*w**3 - 241248*w**2 + 125248*w - 2880 = 0.
-90, 2/83, 1, 2
Factor w**2 + 9310*w + 9309.
(w + 1)*(w + 9309)
Factor -a**2/5 - 66*a + 999/5.
-(a - 3)*(a + 333)/5
Let -2*w**2/5 - 1282*w + 12828/5 = 0. What is w?
-3207, 2
Factor -3*v**2 + 65460*v.
-3*v*(v - 21820)
What is t in t**3 + 361*t**2/3 + 8788*t/3 - 6020/3 = 0?
-86, -35, 2/3
Factor 5*i**3/2 - 221*i**2/2 + 1232*i - 242.
(i - 22)**2*(5*i - 1)/2
Factor -y**2/2 - 101*y + 16695/2.
-(y - 63)*(y + 265)/2
Find m such that 3*m**4/4 - 9735*m**3/4 + 7931511*m**2/4 - 55141521*m/4 + 39317415/2 = 0.
2, 5, 1619
Factor -g**5 + 3382*g**4 + 6767*g**3 + 3384*g**2.
-g**2*(g - 3384)*(g + 1)**2
Factor 5*d**3 - 420*d**2 + 3745*d - 3330.
5*(d - 74)*(d - 9)*(d - 1)
Determine o so that -o**4 - 126*o**3 - 2137*o**2 - 1764*o + 4028 = 0.
-106, -19, -2, 1
Find v, given that 4*v**3 + 1008*v**2 + 13520*v + 45696 = 0.
-238, -8, -6
Determine x so that -x**2/2 - 53379*x/2 = 0.
-53379, 0
Solve 4*b**3/5 + 72*b**2/5 - 1164*b/5 - 1232/5 = 0 for b.
-28, -1, 11
Factor -p**2/10 - 10752*p/5 - 21503/10.
-(p + 1)*(p + 21503)/10
Factor -m**5 + 572*m**4 - 11571*m**3.
-m**3*(m - 551)*(m - 21)
Suppose d**4/3 - 46*d**3/3 - 124*d**2 + 46*d/3 + 371/3 = 0. Calculate d.
-7, -1, 1, 53
Determine k, given that 4*k**5 + 52*k**4 - 548*k**3 - 4548*k**2 + 4608*k + 36720 = 0.
-17, -6, -3, 3, 10
Suppose -2*c**2/5 - 38196*c/5 - 182366802/5 = 0. Calculate c.
-9549
Solve 3*p**2 - 8661*p + 8658 = 0 for p.
1, 2886
Factor 2*w**3 + 2740*w**2 - 5494*w - 8232.
2*(w - 3)*(w + 1)*(w + 1372)
Determine y so that -y**5 + 27*y**4 + 10536*y**3 - 549712*y**2 + 1553664*y = 0.
-112, 0, 3, 68
Determine l so that l**4/6 - 220*l**3/3 + 4321*l**2/6 - 1505*l = 0.
0, 3, 7, 430
Find o, given that -3*o**2 + 335328*o - 9370405632 = 0.
55888
Let -5*u**3 + 1935*u**2 - 29755*u + 27825 = 0. What is u?
1, 15, 371
Factor -4*a**3 - 244*a**2 + 1976*a + 4896.
-4*(a - 9)*(a + 2)*(a + 68)
What is i in 2*i**4/3 - 5572*i**3/3 - 3718*i**2 + 5572*i/3 + 11152/3 = 0?
-2, -1, 1, 2788
Let k**3/7 + 78*k**2/7 + 737*k/7 = 0. What is k?
-67, -11, 0
Solve 98*h**4 - 203336*h**3 + 377388*h**2 - 211464*h + 37314 = 0.
3/7, 1, 2073
Factor n**3/2 + 357*n**2 + 712*n.
n*(n + 2)*(n + 712)/2
Factor -u**5 + 478*u**4 + 3888*u**3.
-u**3*(u - 486)*(u + 8)
Suppose 6*k**3/5 - 52254*k**2/5 + 626184*k/5 = 0. Calculate k.
0, 12, 8697
Find f such that 2*f**4/9 + 3784*f**3/9 - 2528*f**2 + 45536*f/9 - 30368/9 = 0.
-1898, 2
Factor -5*g**4 + 10*g**3 + 11765*g**2 + 11750*g.
-5*g*(g - 50)*(g + 1)*(g + 47)
Let g**3 + 1474*g**2 + 17580*g + 52632 = 0. What is g?
-1462, -6
Let -3*k**4 - 273*k**3 - 1422*k**2 + 9060*k - 10200 = 0. What is k?
-85, -10, 2
Suppose 2*l**3 - 6500*l**2 + 206464*l - 1647616 = 0. Calculate l.
16, 3218
Factor -2*k**4 - 90*k**3 - 258*k**2 - 254*k - 84.
-2*(k + 1)**3*(k + 42)
Let -2*m**5 + 10*m**4 + 446*m**3 - 2794*m**2 - 7260*m = 0. Calculate m.
-15, -2, 0, 11
Find u such that -u**2/6 - 46612*u/3 - 1086339272/3 = 0.
-46612
Factor -o**2/2 + 9299*o.
-o*(o - 18598)/2
Find n, given that -2*n**2 + 915220*n - 104703456050 = 0.
228805
Factor 12*n**2/19 - 298*n/19 - 50/19.
2*(n - 25)*(6*n + 1)/19
Factor -b**2/4 - 65953*b/4 - 16488.
-(b + 1)*(b + 65952)/4
Find a such that a**5 - 56*a**4 + 428*a**3 + 6368*a**2 + 14784*a = 0.
-4, 0, 22, 42
Suppose -2*p**4/3 - 161002*p**3/3 - 3240286000*p**2/3 - 3240125000*p/3 = 0. Calculate p.
-40250, -1, 0
Suppose 3*n**2/8 + 100599*n - 804795/8 = 0. Calculate n.
-268265, 1
Factor d**4/2 - 43*d**3 + 717*d**2/2 - 932*d + 616.
(d - 77)*(d - 4)**2*(d - 1)/2
Factor q**5/6 - 418*q**4/3 + 2481*q**3/2.
q**3*(q - 827)*(q - 9)/6
Factor r**5 - 48*r**4 + 89*r**3 + 138*r**2.
r**2*(r - 46)*(r - 3)*(r + 1)
Factor q**3/7 - 106*q**2/7 + 2225*q/7 - 7268/7.
(q - 79)*(q - 23)*(q - 4)/7
Find u, given that -2*u**5/5 + 2*u**4/5 + 22*u**3/5 + 14*u**2/5 - 4*u - 16/5 = 0.
-2, -1, 1, 4
Factor -d**2/6 - 53969*d/3 - 2912652961/6.
-(d + 53969)**2/6
Factor -15*o**2 + 66310*o - 44200.
-5*(o - 4420)*(3*o - 2)
Factor -5*l**2/4 + 5250*l - 20995/4.
-5*(l - 4199)*(l - 1)/4
Let -3*m**3 + 15306*m**2 - 61188*m + 61176 = 0. What is m?
2, 5098
Find n such that -n**2 - 493*n + 21894 = 0.
-534, 41
Factor -2*a**4 - 56*a**3 + 506*a**2 + 560*a.
-2*a*(a - 8)*(a + 1)*(a + 35)
Factor -3*h**2 - 396*h - 780.
-3*(h + 2)*(h + 130)
Factor 3*o**2 + 1485*o + 13122.
3*(o + 9)*(o + 486)
Factor m**4 + 235*m**3 + 17424*m**2 + 341820*m - 4665600.
(m - 9)*(m + 64)*(m + 90)**2
Suppose 2*m**3 + 1574*m**2 - 524162*m - 525734 = 0. What is m?
-1039, -1, 253
Find i such that -4*i**3 - 4536*i**2 + 59836*i + 220224 = 0.
-1147, -3, 16
Factor a**2/4 + 409*a/4 + 20169/2.
(a + 166)*(a + 243)/4
Determine d so that d**4/5 + 23*d**3 + 4481*d**2/5 + 61901*d/5 + 106782/5 = 0.
-39, -37, -2
Let 2*n**3 + 354*n**2 + 348*n - 704 = 0. Calculate n.
-176, -2, 1
Find y, given that -4*y**5 + 296*y**4 + 4700*y**3 + 19920*y**2 + 13104*y - 38016 = 0.
-6, -3, 1, 88
Determine f, given that f**3/5 - 164*f**2/5 + 443*f/5 + 1288 = 0.
-5, 8, 161
Factor -4*f**4 - 139096*f**3 - 1209509236*f**2 - 4836367920*f - 4835811600.
-4*(f + 2)**2*(f + 17385)**2
Solve 4*r**3 - 1476*r**2 + 2936*r = 0.
0, 2, 367
Suppose 2*t**4/17 - 127850*t**3/17 + 2043138886*t**2/17 + 2043266738*t/17 = 0. Calculate t.
-1, 0, 31963
Factor 2*t**2/3 - 60616*t/3 + 60610.
2*(t - 30305)*(t - 3)/3
Find k such that 2*k**2/11 - 71636*k/11 + 501354/11 = 0.
7, 35811
What is y in -2*y**5/3 - 104*y**4 - 2674*y**3/3 - 1372*y**2 = 0?
-147, -7, -2, 0
Let 2*z**4/13 + 6420*z**3/13 + 76824*z**2/13 + 17712*z = 0. What is z?
-3198, -6, 0
Find p, given that 3*p**4 + 1950*p**3 + 43449*p**2 + 116742*p + 75240 = 0.
-627, -20, -2, -1
Factor -f**4 - 30598*f**3 - 234059401*f**2.
-f**2*(f + 15299)**2
What is p in 2120*p**3/3 - 1334*p**2 - 488*p/3 + 8 = 0?
-3/20, 2/53, 2
Let 2*h**5/5 + 976*h**4/5 + 5782*h**3/5 - 976*h**2/5 - 5784*h/5 = 0. What is h?
-482, -6, -1, 0, 1
Find a such that 2*a**3/3 - 90*a**2 + 4804*a/3 + 12992 = 0.
-6, 29, 112
Determine t, given that -3*t**3 - 12939*t**2 - 14009520*t - 125039808 = 0.
-2152, -9
Find p such that 28*p**4 - 11196*p**3 + 9548*p**2 + 11196*p - 9576 = 0.
-1, 6/7, 1, 399
Let -2*t**4/3 + 770*t**3/3 + 7254*t**2 + 66258*t + 200232 = 0. What is t?
-9, 412
Let 2*w**3 - 11170*w**2 + 156086*w - 545958 = 0. Calculate w.
7, 5571
Factor -196*r**2 - 59276*r - 4481689.
-(14*r + 2117)**2
Factor -b**3/2 - 1439*b**2 + 14409*b/2 - 8649.
-(b - 3)*(b - 2)*(b + 2883)/2
Find u such that 2*u**4/13 + 102*u**3 + 5274*u**2/13 + 1306*u/13 - 7908/13 = 0.
-659, -3, -2, 1
Suppose -o**3/8 + 117*o**2/8 - 94*o - 495/2 = 0. What is o?
-2, 9, 110
Factor -3*p**5 + 531*p**4 - 26730*p**3 + 39204*p**2 + 18112248*p.
-3*p*(p - 66)**3*(p + 21)
Determine l, given that -l**5/6 + 22124*l**4/3 + 7375*l**3 - 22124*l**2/3 - 44249*l/6 = 0.
-1, 0, 1, 44249
Find s, given that 2*s**4 - 122