Determine h, given that h**5/4 + 53*h**4/4 - 31*h**3/4 - 10685*h**2/4 + 10623*h/2 - 2646 = 0.
-49, -18, 1, 12
Solve 2*u**4 - 1968*u**3 + 680064*u**2 - 92587264*u + 3506173440 = 0 for u.
60, 308
Factor 3*p**4/4 - 42*p**3 + 2511*p**2/4 - 2187*p/2.
3*p*(p - 27)**2*(p - 2)/4
Let -20139*n**2/4 - 3*n/4 = 0. Calculate n.
-1/6713, 0
Let r**4/6 - 6259*r**3/6 + 1629684*r**2 + 8174520*r = 0. Calculate r.
-5, 0, 3132
Factor 2*z**3/3 - 172*z**2 + 8406*z - 24704/3.
2*(z - 193)*(z - 64)*(z - 1)/3
Solve 3*o**2 - 2502*o + 166659 = 0.
73, 761
Factor -3*d**2 + 2904831*d - 2904828.
-3*(d - 968276)*(d - 1)
Determine d so that 5*d**3 - 2865*d**2 + 68370*d + 71240 = 0.
-1, 26, 548
Let 108*p**3 + 452076*p**2 - 50240*p - 33488 = 0. Calculate p.
-4186, -2/9, 1/3
Factor -n**4 + 68*n**3 + 8229*n**2 - 574240*n - 582400.
-(n - 80)**2*(n + 1)*(n + 91)
Solve 3*y**3 + 4278*y**2 + 12795*y - 17076 = 0 for y.
-1423, -4, 1
Determine b, given that -3*b**4 + 21*b**3 - 18*b**2 = 0.
0, 1, 6
Factor -2*g**2/5 + 1662*g/5 + 65736.
-2*(g - 996)*(g + 165)/5
Factor 2*t**2/3 + 993988*t + 370504554054.
2*(t + 745491)**2/3
Factor 6*w**2 - 39*w - 3915.
3*(w - 29)*(2*w + 45)
Let 14*n**2/13 + 558*n/13 - 4700/13 = 0. Calculate n.
-47, 50/7
Find u such that -2*u**3/15 + 38*u**2/3 + 22034*u/15 + 21842/15 = 0.
-67, -1, 163
Find k such that 5*k**4 - 960*k**3 + 48790*k**2 - 252960*k - 302715 = 0.
-1, 7, 93
Factor -4*q**2 + 137960*q - 1189560100.
-4*(q - 17245)**2
Factor -4*u**2 + 617916*u + 617920.
-4*(u - 154480)*(u + 1)
Factor 6*p**3/5 + 48*p**2 + 498*p/5 - 6216/5.
6*(p - 4)*(p + 7)*(p + 37)/5
Factor q**3 - 7201*q**2 - 14405*q - 7203.
(q - 7203)*(q + 1)**2
Determine b, given that 3*b**3 + 475122*b**2 + 18811742907*b = 0.
-79187, 0
Find n such that -n**2 + 48347*n - 48346 = 0.
1, 48346
Find a such that 21*a**3 + 2316*a**2 + 13329*a + 19710 = 0.
-730/7, -3
Determine w, given that 3*w**3 + 2736*w**2 + 577728*w - 21387264 = 0.
-472, 32
Determine p, given that p**4 + 9490*p**3 + 18976*p**2 = 0.
-9488, -2, 0
Determine o so that -2*o**3/5 - 1736*o**2/5 + 499776*o/5 = 0.
-1096, 0, 228
Determine u so that 21*u**5 - 4761*u**4 + 3300*u**3 + 20400*u**2 - 13536*u - 5424 = 0.
-2, -2/7, 1, 2, 226
Factor -3*z**2 + 583812*z - 1167612.
-3*(z - 194602)*(z - 2)
Let -2*u**3/3 + 2110*u**2/3 = 0. What is u?
0, 1055
Factor 2*l**2/7 - 14578*l/7 - 29164/7.
2*(l - 7291)*(l + 2)/7
Factor -2*a**2/17 + 1140*a/17 + 89600/17.
-2*(a - 640)*(a + 70)/17
Let -3*w**3 + 18765*w**2 - 29816424*w + 1472227812 = 0. Calculate w.
51, 3102
Suppose -3*m**2/2 + 1233168*m - 253450552704 = 0. Calculate m.
411056
Find r such that -2*r**5/5 - 324*r**4/5 - 12972*r**3/5 + 4760*r**2 + 180630*r - 656100 = 0.
-81, -10, 5
Determine a so that -4*a**3 + 1940*a**2 + 92324*a + 412620 = 0.
-39, -5, 529
Determine n, given that 8*n**5 + 23274*n**4 - 110676*n**3 + 163160*n**2 - 69936*n = 0.
-2914, 0, 3/4, 2
Find c, given that -c**2 - 9100*c - 20702500 = 0.
-4550
Suppose 2*w**4/13 + 2970*w**3/13 + 17718*w**2/13 - 44354*w/13 + 23664/13 = 0. Calculate w.
-1479, -8, 1
Find z, given that -4*z**4/7 - 1984*z**3/7 - 253788*z**2/7 - 1918816*z/7 - 238144 = 0.
-244, -7, -1
Let -b**3 + 4042*b**2 - 4171913*b + 175824044 = 0. What is b?
44, 1999
Factor 3*i**3/7 - 6864*i**2/7.
3*i**2*(i - 2288)/7
Let -21*b**4/4 - 5811*b**3/4 - 7821*b**2/2 - 1641*b + 822 = 0. What is b?
-274, -2, -1, 2/7
Solve 2*k**2/3 - 596*k/3 + 14608 = 0 for k.
132, 166
Factor 5*w**4 - 250*w**3 - 19680*w**2 - 355840*w - 2007040.
5*(w - 98)*(w + 16)**3
Find b, given that 3*b**4/5 - 54*b**3 - 405*b**2 - 240*b + 3492/5 = 0.
-6, -2, 1, 97
Suppose 4*r**2 - 4392*r - 263340 = 0. Calculate r.
-57, 1155
Solve 2*u**3/5 - 1082*u**2/5 - 40896*u/5 - 373896/5 = 0 for u.
-18, 577
Factor -m**3/3 - 31927*m**2/3 - 254817368*m/3 + 254849296/3.
-(m - 1)*(m + 15964)**2/3
Factor -622739534883*p**4 + 2491589187870*p**3 - 2524406508*p**2 + 852648*p - 96.
-3*(p - 4)*(5921*p - 2)**3
Solve -40*y**5 + 9*y**4 + 289*y**3 - 303*y**2 - 9*y + 54 = 0 for y.
-3, -3/8, 3/5, 1, 2
Factor 20*f**3 - 2200*f**2 + 63665*f - 171735.
5*(f - 3)*(2*f - 107)**2
Factor -3*y**3 - 172002*y**2 + 1548261*y.
-3*y*(y - 9)*(y + 57343)
Factor 2*y**3 + 3226*y**2 + 1292782*y - 6544810.
2*(y - 5)*(y + 809)**2
Solve -t**5/2 - 2333*t**4/2 + 9343*t**3/2 - 11683*t**2/2 + 2337*t = 0 for t.
-2337, 0, 1, 2
Let 3*q**2 - 5166*q = 0. Calculate q.
0, 1722
Let c**3 + 49*c**2 - 508*c + 812 = 0. Calculate c.
-58, 2, 7
Determine l, given that 2*l**3/5 - 332070*l**2 + 344596095486*l/5 - 344594435138/5 = 0.
1, 415087
Suppose 4*d**3/9 + 729721*d**2/9 + 3697876370*d + 924464025 = 0. Calculate d.
-91215, -1/4
Let n**3 + 4*n**2 - 137*n + 420 = 0. Calculate n.
-15, 4, 7
Factor -k**3/4 - 20995*k**2/4 + 63021*k.
-k*(k - 12)*(k + 21007)/4
What is d in 25*d**4 - 1180*d**3 + 7385*d**2 - 7430*d + 1200 = 0?
1/5, 1, 6, 40
Suppose r**5 + 717*r**4 - 17586*r**3 + 146070*r**2 - 479439*r + 540189 = 0. Calculate r.
-741, 3, 9
Factor -k**4 + 12*k**3 - 9*k**2 - 22*k.
-k*(k - 11)*(k - 2)*(k + 1)
Factor -3*o**2/4 + 189*o/4 - 735.
-3*(o - 35)*(o - 28)/4
Factor -2*i**2/5 + 3149116*i/5 - 1239616447682/5.
-2*(i - 787279)**2/5
Factor 156*y**2 - 540*y - 21.
3*(2*y - 7)*(26*y + 1)
Find a such that 2*a**2/3 + 120666*a + 361992 = 0.
-180996, -3
Factor -a**4 - 209*a**3 - 809*a**2 + 2249*a - 1230.
-(a - 1)**2*(a + 6)*(a + 205)
Factor 7*j**2 + 104*j - 396.
(j + 18)*(7*j - 22)
Suppose 4*c**5 - 56*c**4 + 104*c**3 + 416*c**2 - 1260*c + 792 = 0. What is c?
-3, 1, 2, 3, 11
Solve -5*z**5 + 115*z**4 - 765*z**3 + 1205*z**2 - 550*z = 0 for z.
0, 1, 10, 11
Find v, given that 3*v**5 + 4947*v**4 - 4959*v**3 - 14847*v**2 + 4956*v + 9900 = 0.
-1650, -1, 1, 2
Determine i so that 2*i**4/5 + 66*i**3/5 - 802*i**2/5 + 2454*i/5 - 344 = 0.
-43, 1, 4, 5
Factor f**2 + 143*f - 2370.
(f - 15)*(f + 158)
Factor -2*p**3/5 - 13358*p**2/5 - 319728*p/5 - 383328.
-2*(p + 12)**2*(p + 6655)/5
Suppose -5*q**4 + 660*q**3 + 1660*q**2 - 43680*q + 107200 = 0. Calculate q.
-10, 4, 134
Solve 3*h**5 - 2190*h**4 - 6*h**3 + 4380*h**2 + 3*h - 2190 = 0 for h.
-1, 1, 730
Let -5*j**2 + 2150*j - 33120 = 0. What is j?
16, 414
Factor -18*a**3 + 5932*a**2 - 3282*a - 2632.
-2*(a - 329)*(a - 1)*(9*a + 4)
Factor -2*y**2 - 51472*y - 331170848.
-2*(y + 12868)**2
What is g in 4*g**3/9 - 1228*g**2/9 + 64048*g/9 + 21760/3 = 0?
-1, 68, 240
Factor 3*o**3/7 + 207*o**2/7 - 3267*o/7 - 70863/7.
3*(o - 23)*(o + 13)*(o + 79)/7
Solve -2*f**2/7 + 100560*f/7 - 1264039200/7 = 0.
25140
Suppose -2*j**2/5 - 234*j/5 + 14168/5 = 0. What is j?
-161, 44
Factor 2*g**3/9 + 1052*g**2/9 - 4232*g/9 + 4240/9.
2*(g - 2)**2*(g + 530)/9
What is x in 2*x**2/7 + 1054*x/7 + 84744/7 = 0?
-428, -99
Let -25*d**5 + 11145*d**4 - 1240770*d**3 - 348950*d**2 + 11168955*d + 2237805 = 0. Calculate d.
-3, -1/5, 3, 223
Let -s**3/2 - 2207*s**2/2 + 4420*s - 4422 = 0. Calculate s.
-2211, 2
Factor -q**4/9 + 8026*q**3/9 - 16104169*q**2/9.
-q**2*(q - 4013)**2/9
Find j such that 3*j**2/2 + 2139*j/2 + 139023 = 0.
-542, -171
Let 4418*k**5 + 3324874*k**4/5 + 1696176*k**3/5 - 1487824*k**2/5 + 116384*k/5 - 480 = 0. Calculate k.
-150, -1, 2/47, 2/5
Suppose 2*u**2/7 + 343276*u/7 + 14729801522/7 = 0. Calculate u.
-85819
Factor 4*d**5 + 31340*d**4 + 125320*d**3 + 187960*d**2 + 125300*d + 31324.
4*(d + 1)**4*(d + 7831)
Factor -2000*y**4/11 - 7307400*y**3/11 + 2192340*y**2/11 - 219238*y/11 + 7308/11.
-2*(y + 3654)*(10*y - 1)**3/11
Factor 14*h**3/5 + 452*h**2/5 + 336*h.
2*h*(h + 28)*(7*h + 30)/5
Let 177*k**4/2 + 2433*k**3 - 2697*k**2/2 - 2433*k + 1260 = 0. What is k?
-28, -1, 30/59, 1
Determine k so that 4*k**3 + 24608*k**2 - 493684*k + 469072 = 0.
-6172, 1, 19
Factor 2*l**3/13 - 38*l**2/13 - 290*l/13 - 250/13.
2*(l - 25)*(l + 1)*(l + 5)/13
What is h in 22*h**4 - 1018*h**3/7 + 1544*h**2/7 - 248*h/7 = 0?
0, 2/11, 2, 31/7
Factor -2*q**3/3 - 1048*q**2/3 + 10630*q/3 - 8900.
-2*(q - 5)**2*(q + 534)/3
Let 14*l**4/5 + 202*l**3 + 20934*l**2/5 + 94446*l/5 + 13068/5 = 0. Calculate l.
-33, -6, -1/7
Determine b, given that 3*b**4 + 153*b**3 + 789*b**2 - 945*b = 0.
-45, -7, 0, 1
What is w in -w**2/4 - 17*w/4 + 372 = 0?
-48, 31
Find w, given that -5*w**3 + 2786955*w**2 - 388354515120*w - 388357302080 = 0.
-1, 278696
Suppose 3*h**2 - 501*h - 99684 = 0. What is h?
-117, 284
Factor 5*b**3 - 600*b**2 + 7065*b - 11770.
5*(b - 107)*(b - 11)*(b - 2)
Deter