hat b**4/2 - 735*b**3/2 - 1107*b**2 = 0.
-3, 0, 738
Factor 2*w**4/5 - 14756*w**3/5 + 309288*w**2/5 - 2163644*w/5 + 5046902/5.
2*(w - 7357)*(w - 7)**3/5
Factor 5*a**3 - 905*a**2 - 451580*a + 452480.
5*(a - 404)*(a - 1)*(a + 224)
Find v such that -3*v**2/4 + 428841*v/2 - 428838 = 0.
2, 285892
Factor -j**3/5 + 1126*j**2/5 + 34711*j/5 - 35836/5.
-(j - 1156)*(j - 1)*(j + 31)/5
Factor m**3/7 - 84*m**2 - 3555*m/7 + 31517050/7.
(m - 395)**2*(m + 202)/7
Factor -r**3/3 + 658*r**2/3 - 217*r - 1314.
-(r - 657)*(r - 3)*(r + 2)/3
Solve 3*m**2 - 1167*m + 11370 = 0.
10, 379
Find v, given that 3*v**3 - 417*v**2 + 18504*v - 257040 = 0.
28, 51, 60
Solve -2*w**2/3 + 21016*w = 0.
0, 31524
Let -2*x**3/7 + 1778*x**2 - 37212*x = 0. What is x?
0, 21, 6202
Find k, given that -6*k**4/17 + 948608*k**3/17 + 1581028*k**2/17 + 316208*k/17 - 316206/17 = 0.
-1, 1/3, 158103
Solve 4*t**4 + 76*t**3 - 2964*t**2 - 6844*t + 157472 = 0 for t.
-37, -8, 7, 19
Let 4*r**2 + 7252*r - 50960 = 0. What is r?
-1820, 7
Determine u, given that 2*u**5/9 - 84040*u**4/9 + 46684*u**3 - 252080*u**2/9 - 420158*u/9 + 112040/3 = 0.
-1, 1, 4, 42015
Let -20*w**5 - 412*w**4 - 132*w**3 + 2060*w**2 - 1976*w + 480 = 0. Calculate w.
-20, -3, 2/5, 1
Factor -5*f**4 + 860*f**3 + 42400*f**2.
-5*f**2*(f - 212)*(f + 40)
Let -98*k**4 - 1134*k**3 - 1604*k**2 - 648*k - 80 = 0. What is k?
-10, -1, -2/7
Factor 4*v**2 - 224800*v + 3158440000.
4*(v - 28100)**2
Find x, given that -x**4 + 284*x**3 - 4583*x**2 + 11776*x - 7476 = 0.
1, 2, 14, 267
Solve -4*k**3/9 + 992*k**2/9 - 7360*k/3 + 14336 = 0 for k.
12, 224
Factor 4*d**3 + 176*d**2 + 1200*d + 1728.
4*(d + 2)*(d + 6)*(d + 36)
Suppose c**3/2 - 2560*c**2 + 3276800*c = 0. Calculate c.
0, 2560
Factor -5*n**4 - 162130*n**3.
-5*n**3*(n + 32426)
Suppose 2*w**2/3 + 576704*w/3 = 0. Calculate w.
-288352, 0
Determine g, given that 2*g**3 + 42334*g**2 + 296240*g = 0.
-21160, -7, 0
Suppose 10800*m**5 + 281160*m**4 + 9363*m**3 + 78*m**2 = 0. Calculate m.
-26, -1/60, 0
Determine f, given that 52*f**3/5 - 138068*f**2/5 - 393408*f/5 + 63792/5 = 0.
-3, 2/13, 2658
Factor f**3 + 261649*f**2 + 523295*f + 261647.
(f + 1)**2*(f + 261647)
Let 3*h**2/5 + 186579*h/5 = 0. Calculate h.
-62193, 0
Let -4*c**2 + 206984*c + 206988 = 0. What is c?
-1, 51747
Find m, given that -3*m**5 + 255*m**4 - 225*m**3 - 2235*m**2 - 2760*m - 1008 = 0.
-1, 4, 84
Solve -c**4/6 - 91*c**3/6 + 1367*c**2/2 - 18509*c/6 + 7250/3 = 0.
-125, 1, 4, 29
What is b in 5*b**2/3 + 131630*b/3 = 0?
-26326, 0
Determine r, given that r**4/4 + 9*r**3/4 - 18*r**2 - r + 84 = 0.
-14, -2, 3, 4
Suppose t**5 + 68*t**4 + 825*t**3 + 3866*t**2 + 7660*t + 5400 = 0. What is t?
-54, -5, -2
Factor h**3 - 1080*h**2 - 34411*h - 33330.
(h - 1111)*(h + 1)*(h + 30)
Find o such that o**4 - 6662*o**3 + 13321*o**2 - 6660*o = 0.
0, 1, 6660
Solve -2*s**3 - 2966*s**2 + 2*s + 2966 = 0.
-1483, -1, 1
Suppose 231*v**2/5 - 2298*v/5 - 24 = 0. Calculate v.
-4/77, 10
Factor 3*a**2 + 2406*a - 62025.
3*(a - 25)*(a + 827)
Factor -5*k**3 - 1440*k**2 + 38165*k + 226200.
-5*(k - 29)*(k + 5)*(k + 312)
Factor t**3/2 + 535*t**2/2 - 3556*t + 3288.
(t - 12)*(t - 1)*(t + 548)/2
Solve 14*z**4/13 + 264*z**3/13 + 714*z**2/13 - 1576*z/13 - 2040/13 = 0 for z.
-15, -34/7, -1, 2
Find m, given that -4*m**3 - 15252*m**2 - 14920092*m - 721784844 = 0.
-1881, -51
Factor m**4/2 - 2*m**3 - 91*m**2/2 - 55*m + 300.
(m - 12)*(m - 2)*(m + 5)**2/2
Find g, given that g**2 + 23*g - 115128 = 0.
-351, 328
Suppose 4*n**4/7 - 24648*n**3/7 + 10560*n**2 - 73912*n/7 + 24636/7 = 0. Calculate n.
1, 6159
Factor a**2/3 - 122*a + 363.
(a - 363)*(a - 3)/3
Find o such that -2*o**5/13 + 4*o**4/13 + 14*o**3/13 + 8*o**2/13 = 0.
-1, 0, 4
Let 2*l**3 + 2264*l**2 + 6778*l + 4516 = 0. What is l?
-1129, -2, -1
Factor t**3/5 + 1626*t**2/5 + 121536*t - 44164832/5.
(t - 62)*(t + 844)**2/5
Factor y**2/5 + 2482698*y/5 + 1540947339801/5.
(y + 1241349)**2/5
Factor 2*q**3 - 2062*q**2 + 519958*q + 5971702.
2*(q - 521)**2*(q + 11)
Factor 4*k**3 - 1004*k**2.
4*k**2*(k - 251)
What is n in -3*n**5/4 + 99*n**4/2 - 3741*n**3/4 + 8967*n**2/2 - 8235*n + 5250 = 0?
2, 25, 35
Factor 2*u**2/9 - 521720*u/9 + 34023969800/9.
2*(u - 130430)**2/9
Find c such that c**2/2 + 1094*c + 6546 = 0.
-2182, -6
Factor -3*v**2/4 - 711*v/4 + 5565.
-3*(v - 28)*(v + 265)/4
Determine q so that -5*q**4/7 - 1676*q**3/7 + 8145*q**2/7 - 5104*q/7 - 1360/7 = 0.
-340, -1/5, 1, 4
Determine g so that g**3/4 - 181*g**2/2 - 6105*g/4 + 10773/2 = 0.
-19, 3, 378
Factor -m**2/4 - 2417*m/4 + 33990.
-(m - 55)*(m + 2472)/4
Suppose -2*u**3 - 700*u**2/3 - 16274*u/3 - 10540/3 = 0. What is u?
-85, -31, -2/3
Find h, given that 5*h**2 + 480*h + 11500 = 0.
-50, -46
Factor -343*i**4/4 - 3956750*i**3 - 3391458*i**2 - 968984*i - 92284.
-(i + 46142)*(7*i + 2)**3/4
Let -4*k**5 + 300*k**4 - 5292*k**3 - 28172*k**2 + 518592*k + 2562768 = 0. Calculate k.
-6, 13, 37
What is w in -10*w**5 - 925*w**4 - 10685*w**3 + 1705*w**2 + 257895*w - 127980 = 0?
-79, -9, 1/2, 4
Find c such that -2*c**4/21 - 18*c**3 - 14836*c**2/21 + 3120*c = 0.
-130, -63, 0, 4
Factor 4*i**2 - 1799528*i + 202393813924.
4*(i - 224941)**2
Factor 12*w**3 - 9302*w**2/5 + 62*w.
2*w*(w - 155)*(30*w - 1)/5
What is h in -h**2 + 715*h - 39300 = 0?
60, 655
Factor -2*l**3/13 + 19358*l**2/13 + 77464*l/13.
-2*l*(l - 9683)*(l + 4)/13
Solve -l**2/2 - 8960*l + 17921/2 = 0.
-17921, 1
Factor y**3 - 716*y**2 + 1429*y - 714.
(y - 714)*(y - 1)**2
Factor d**5/7 + 8*d**4/7 - 12*d**3/7 - 16*d**2 - 128*d/7.
d*(d - 4)*(d + 2)**2*(d + 8)/7
Factor j**4 + 7703*j**3 - 254925*j**2 + 2806837*j - 10296616.
(j - 11)**3*(j + 7736)
Factor -2*x**2 + 46948*x - 275514338.
-2*(x - 11737)**2
Factor -2*o**2 - 594*o + 1800.
-2*(o - 3)*(o + 300)
Factor -2*n**2/5 - 12458*n/5 + 24924/5.
-2*(n - 2)*(n + 6231)/5
Find y such that -2*y**5/7 + 190*y**4/7 + 4488*y**3/7 - 902016*y**2/7 + 3359232*y - 43460064/7 = 0.
-69, 2, 54
Factor 7*b**4 + 1006*b**3 - 7687*b**2 + 2114*b.
b*(b - 7)*(b + 151)*(7*b - 2)
What is n in 9*n**5/7 + 174*n**4/7 + 765*n**3/7 - 372*n**2 - 20628*n/7 - 3888 = 0?
-9, -4, -2, 14/3
Factor -c**2/11 + 34858*c/11 - 303770041/11.
-(c - 17429)**2/11
Factor 75*d**4 + 5508810*d**3 + 101158828887*d**2 + 80924418900*d + 16184707500.
3*(d + 36725)**2*(5*d + 2)**2
Find o, given that -4*o**3/9 + 29830*o**2/9 + 1658*o - 4972 = 0.
-3/2, 1, 7458
Factor -5*s**2 + 313085*s + 1878690.
-5*(s - 62623)*(s + 6)
What is h in 2*h**4/11 + 42*h**3/11 + 258*h**2/11 + 398*h/11 + 180/11 = 0?
-10, -9, -1
Factor f**2/5 - 26514*f/5 + 175748049/5.
(f - 13257)**2/5
Suppose 7*t**5 - 27*t**4 - 137*t**3 + 303*t**2 + 886*t + 120 = 0. What is t?
-3, -2, -1/7, 4, 5
Factor 27*r**2 - 10644*r + 2364.
3*(r - 394)*(9*r - 2)
Factor 3*w**3/5 - 492*w**2/5 + 17652*w/5 - 62928/5.
3*(w - 114)*(w - 46)*(w - 4)/5
Suppose -m**5/8 + 1051*m**4/8 - 275615*m**3/8 - 286135*m**2/8 + 310077*m + 622521/2 = 0. Calculate m.
-3, -1, 3, 526
Factor -m**2/4 - 364637*m/4 + 182319/2.
-(m - 1)*(m + 364638)/4
Factor -t**2 + 588*t + 1180.
-(t - 590)*(t + 2)
Solve 39*p**3 - 1293*p**2 + 8622*p - 1296 = 0.
2/13, 9, 24
Factor 4*w**2 - 2612*w - 392616.
4*(w - 779)*(w + 126)
Factor -g**2/8 + 1062855*g/4 - 1129660751025/8.
-(g - 1062855)**2/8
Find v such that v**3/2 - 789*v**2 + 11007*v/2 - 7855 = 0.
2, 5, 1571
Let 5*z**4 - 30*z**3 - 4440*z**2 - 37120*z + 92160 = 0. What is z?
-16, 2, 36
Solve -a**5/7 + 93*a**4/7 - 360*a**3/7 + 356*a**2/7 = 0.
0, 2, 89
Factor 5*y**3 + 79490*y**2 - 3345195*y + 35147700.
5*(y - 21)**2*(y + 15940)
Let 3*v**4 - 5682*v**3 - 34173*v**2 - 51300*v = 0. Calculate v.
-3, 0, 1900
Factor -5*n**3 + 14040*n**2 - 139845*n - 153890.
-5*(n - 2798)*(n - 11)*(n + 1)
Factor -2*b**5 + 1682*b**4 - 351110*b**3 - 1063442*b**2 - 1066816*b - 356168.
-2*(b - 422)**2*(b + 1)**3
Let 5*s**2 - 11330*s - 22680 = 0. Calculate s.
-2, 2268
Solve 24*b**5 + 807*b**4 + 2646*b**3 + 1053*b**2 - 810*b = 0 for b.
-30, -3, -1, 0, 3/8
Factor 22*m**3 + 124532*m**2 + 176263720*m + 96106800.
2*(m + 2830)**2*(11*m + 6)
Factor -2*c**3/7 - 716*c**2/7 - 57970*c/7 + 1119008/7.
-2*(c - 16)*(c + 187)**2/7
Find b such that -2*b**2/3 - 172988*b/3 - 3740606018/3 = 0.
-43247
Factor j**3 - 86198*j**2 + 1857437600*j + 3715220000.
(j - 43100)**2*(j + 2)
Find s such that 3*s**2/2 - 15675*s/2 - 7839 = 0.
-1, 5226
Determine j, given that -3*j**2 + 738*j + 178200 = 0.
-