91*m/4 + 6461.
-(m - 25844)*(18*m + 1)/4
Determine h, given that -h**3 - 1232*h**2 - 240125*h - 12845614 = 0.
-1006, -113
Factor -3*x**4 - 8253*x**3 - 32976*x**2 - 32964*x.
-3*x*(x + 2)**2*(x + 2747)
Factor 68*f**2 - 208696*f + 12276.
4*(f - 3069)*(17*f - 1)
Suppose 5*q**2 - 4970*q + 34545 = 0. What is q?
7, 987
Factor -5*d**3/2 - 17*d**2 - 32*d - 16.
-(d + 2)*(d + 4)*(5*d + 4)/2
Find r, given that 196*r**5 - 11736*r**4 - 63572*r**3 - 108744*r**2 - 63344*r - 6240 = 0.
-2, -1, -6/49, 65
Suppose 4*s**3/7 + 292*s**2/7 + 556*s/7 - 852/7 = 0. What is s?
-71, -3, 1
Factor -2*t**2/5 - 336*t/5 + 4576.
-2*(t - 52)*(t + 220)/5
Factor -d**3/5 + 37*d**2/5 + 608*d/5 - 768.
-(d - 48)*(d - 5)*(d + 16)/5
Factor -2*x**2/11 - 192*x/11 + 5474/11.
-2*(x - 23)*(x + 119)/11
Solve u**5/9 + 5657*u**4/3 + 96308534*u**3/9 + 184462956722*u**2/9 + 3229278489155*u/3 + 9503468802307/9 = 0 for u.
-5639, -53, -1
Factor -o**2/4 - 282*o + 5665/4.
-(o - 5)*(o + 1133)/4
Determine d, given that -d**2 - 8048*d - 16192576 = 0.
-4024
Let -4*v**3 - 3040*v**2 - 169812*v + 176562504 = 0. What is v?
-477, 194
Find d, given that -d**3/7 + 5304*d**2/7 + 53115*d/7 + 132850/7 = 0.
-5, 5314
Factor -b**3/3 + 496*b**2/3 - 34279*b/3.
-b*(b - 413)*(b - 83)/3
Find o such that 6*o**2/11 - 6*o/11 - 336/11 = 0.
-7, 8
Factor -p**3/6 + 37*p**2/6 + 97*p/3 - 988.
-(p - 38)*(p - 12)*(p + 13)/6
Let -14*v**3/5 - 36*v**2/5 + 774*v/5 - 324/5 = 0. What is v?
-9, 3/7, 6
Determine m so that 2*m**2/9 + 1672052*m/3 + 349469736338 = 0.
-1254039
Find c, given that 2*c**3/3 - 17800*c**2 + 35598*c - 53396/3 = 0.
1, 26698
Factor 5*l**3 - 9435*l**2 - 190200*l - 953500.
5*(l - 1907)*(l + 10)**2
Factor f**2/2 - 305*f/2 + 7442.
(f - 244)*(f - 61)/2
Factor -3*h**2/7 - 192849*h/7 - 192846/7.
-3*(h + 1)*(h + 64282)/7
Factor -4*b**2 + 1427288*b - 127321939684.
-4*(b - 178411)**2
Let j**4/6 - 46607*j**3/6 + 93211*j**2/6 - 15535*j/2 = 0. What is j?
0, 1, 46605
Let -v**2/6 - 463*v/2 = 0. What is v?
-1389, 0
Factor -841*d**3 - 3878808*d**2 - 534996*d - 18448.
-(d + 4612)*(29*d + 2)**2
Factor u**2 + 22782*u + 129754881.
(u + 11391)**2
Factor -3*y**4/5 - 1041*y**3 + 31338*y**2/5.
-3*y**2*(y - 6)*(y + 1741)/5
Determine i, given that -47*i**3 - 104*i**2 + 37*i + 114 = 0.
-2, -57/47, 1
Factor -4*n**3 + 148*n**2 + 1624*n + 1472.
-4*(n - 46)*(n + 1)*(n + 8)
Suppose -4*v**4 - 1244*v**3 + 6372*v**2 + 16460*v + 8848 = 0. What is v?
-316, -1, 7
Let -v**5/7 + 25*v**4/7 + 282*v**3/7 + 800*v**2/7 + 544*v/7 = 0. What is v?
-4, -1, 0, 34
Find i, given that 4*i**3 + 30244*i**2 - 151296*i + 181584 = 0.
-7566, 2, 3
Factor s**3 - 655*s**2 + 1306*s.
s*(s - 653)*(s - 2)
Solve 3*y**5 + 6147*y**4 - 24624*y**3 + 24636*y**2 = 0 for y.
-2053, 0, 2
Solve 5*p**2 - 619735*p/4 - 154935/4 = 0 for p.
-1/4, 30987
Factor 2*p**5/5 + 18416*p**4/5 + 42430448*p**3/5 + 169500864*p**2/5 + 169427232*p/5.
2*p*(p + 2)**2*(p + 4602)**2/5
Find s such that -3*s**2 + 17907*s - 17904 = 0.
1, 5968
Solve -3*z**3/4 + 19041*z**2/4 + 258147*z/2 = 0.
-27, 0, 6374
Factor -14*a**2/3 - 380*a/3 + 112.
-2*(a + 28)*(7*a - 6)/3
Suppose -2*h**4/5 + 86*h**3/5 - 214*h**2 + 3594*h/5 + 4752/5 = 0. What is h?
-1, 9, 11, 24
Let 3*r**4 - 1845*r**3 + 282684*r**2 + 321552*r - 5691840 = 0. What is r?
-5, 4, 308
Let 121*h**4/3 - 21802*h**3/3 - 155891*h**2/3 + 34173644*h + 891859692 = 0. Calculate h.
-37, 1398/11
Factor -5*z**2/6 + 4099*z/6 - 2584.
-(z - 816)*(5*z - 19)/6
Find l such that 3*l**5 + 210*l**4 - 1821*l**3 + 3984*l**2 + 396*l - 5616 = 0.
-78, -1, 2, 3, 4
Solve -y**2 - 2585*y - 2584 = 0.
-2584, -1
Let -283*w**3/3 - 4544*w**2/3 + 4555*w/3 + 272/3 = 0. What is w?
-17, -16/283, 1
Find g such that -2*g**3/5 + 4498*g**2/5 - 514238*g + 9448510 = 0.
19, 1115
Factor 3*d**2 + 3048*d + 48000.
3*(d + 16)*(d + 1000)
Factor -5*k**2 - 1546320*k - 119555277120.
-5*(k + 154632)**2
Factor 627*z**2 - 753*z + 126.
3*(z - 1)*(209*z - 42)
Find j such that 2*j**3/5 + 3744*j**2/5 - 432696*j + 275953568/5 = 0.
-2356, 242
Factor 5*w**2 + 66860*w + 223512980.
5*(w + 6686)**2
Let -4*y**3/3 - 22598*y**2/3 - 124126*y/3 + 79016 = 0. Calculate y.
-5644, -7, 3/2
Factor b**3 + 522*b**2 + 74400*b + 1599104.
(b + 26)*(b + 248)**2
Find b, given that -95*b**3 + 470*b**2 + 8005*b + 420 = 0.
-7, -1/19, 12
Find t such that -876*t**3 - 13148*t**2 - 12384*t - 112 = 0.
-14, -1, -2/219
Determine b so that -3*b**2/7 + 2340*b = 0.
0, 5460
What is b in 20*b**5 + 19104*b**4 - 53660*b**3 - 11496*b**2 = 0?
-958, -1/5, 0, 3
Let 4*o**5 + 868*o**4 + 23300*o**3 + 44012*o**2 + 21576*o = 0. What is o?
-186, -29, -1, 0
Find x such that -10*x**3 - 19035*x**2 + 47640*x - 19060 = 0.
-1906, 1/2, 2
Let -26*f**4/5 - 627872*f**3/5 - 1207372*f**2/5 - 531232*f/5 + 48294/5 = 0. Calculate f.
-24147, -1, 1/13
What is k in 3*k**4 - 3201*k**3 + 883464*k**2 - 15650832*k = 0?
0, 19, 524
What is v in v**5 + 171*v**4 + 8030*v**3 + 60810*v**2 + 68769*v - 137781 = 0?
-81, -7, -3, 1
Determine x so that x**4/6 + 63073*x**3/6 = 0.
-63073, 0
Suppose 4*t**2 - 4420*t - 4424 = 0. What is t?
-1, 1106
Determine s so that 5*s**4 - 185*s**3 - 10175*s**2 + 176885*s - 166530 = 0.
-39, 1, 14, 61
Factor 2*z**2 - 474*z + 4104.
2*(z - 228)*(z - 9)
Factor -k**4 - 412*k**3 + 848*k**2 + 8304*k + 9936.
-(k - 6)*(k + 2)**2*(k + 414)
Determine x, given that -2*x**4 - 84*x**3 + 6000*x**2 + 12244*x + 6162 = 0.
-79, -1, 39
Factor -2*p**3/5 - 12974*p**2/5 - 5188*p.
-2*p*(p + 2)*(p + 6485)/5
Let 3*p**2/8 - 996795*p/8 - 996801/4 = 0. Calculate p.
-2, 332267
Find g such that -g**5 - 29*g**4 + 61*g**3 - 31*g**2 = 0.
-31, 0, 1
Factor 2*r**2/5 - 20016*r/5 + 20014/5.
2*(r - 10007)*(r - 1)/5
Let 7*f**5/5 + 22*f**4 - 187*f**3 - 2810*f**2 + 3836*f - 4312/5 = 0. Calculate f.
-14, 2/7, 1, 11
Let -t**3/3 - 1169*t**2/3 - 6983*t/3 - 5815/3 = 0. Calculate t.
-1163, -5, -1
Find j, given that -2*j**2/5 - 247748*j/5 - 7672383938/5 = 0.
-61937
Suppose -3*v**4/5 + 111*v**3/5 + 34674*v**2/5 + 6912*v = 0. Calculate v.
-90, -1, 0, 128
Find p, given that 301*p**5/6 + 1137*p**4/2 + 803*p**3/6 - 3367*p**2/6 - 184*p - 22/3 = 0.
-11, -1, -2/7, -2/43, 1
Factor -2*n**3/15 - 1173938*n**2/15 + 2347882*n/15 - 391314/5.
-2*(n - 1)**2*(n + 586971)/15
Determine p, given that 5*p**5 + 2490*p**4 - 2675*p**3 - 89640*p**2 + 89820*p = 0.
-499, -6, 0, 1, 6
Factor f**5 + 864*f**4 + 188343*f**3 + 742180*f**2 + 554700*f.
f*(f + 1)*(f + 3)*(f + 430)**2
Solve -3*v**5 + 861*v**4 + 48*v**3 - 13776*v**2 = 0 for v.
-4, 0, 4, 287
Factor -5*r**2 - 847350*r.
-5*r*(r + 169470)
Solve -o**2 - 169295*o - 507876 = 0.
-169292, -3
Suppose -5*m**2 - 1165*m + 10890 = 0. What is m?
-242, 9
Let -75*h**5/8 + 1503*h**4/4 + 28005*h**3/4 + 73875*h**2/2 + 491625*h/8 - 20625/4 = 0. What is h?
-5, 2/25, 55
Solve -9*n**5 - 462*n**4 - 7605*n**3 - 37764*n**2 + 31440*n + 14400 = 0 for n.
-20, -12, -1/3, 1
Find v such that 3*v**5/7 - 39*v**4/7 - 828*v**3/7 + 864*v**2/7 = 0.
-12, 0, 1, 24
Determine g so that 2*g**5/3 - 598*g**4/15 - 26*g**3/3 + 598*g**2/15 + 8*g = 0.
-1, -1/5, 0, 1, 60
Factor 5*q**3 + 21075*q**2 + 8046360*q + 806920540.
5*(q + 206)**2*(q + 3803)
Solve -3*f**3 + 75*f**2 - 486*f + 864 = 0 for f.
3, 6, 16
Solve 2*x**5/11 - 72*x**4/11 + 758*x**3/11 - 2232*x**2/11 + 1976*x/11 = 0 for x.
0, 2, 13, 19
Factor -3*j**3 - 78273*j**2 - 156537*j - 78267.
-3*(j + 1)**2*(j + 26089)
Let -5*q**2 - 656470*q - 21547643045 = 0. Calculate q.
-65647
Find j such that 36*j**3 - 559*j**2 + 1494*j + 360 = 0.
-2/9, 15/4, 12
Factor u**2 - 21112*u + 295372.
(u - 21098)*(u - 14)
Factor -4*x**4/9 - 9332*x**3/3 - 55960*x**2/3 - 335696*x/9 - 24864.
-4*(x + 2)**3*(x + 6993)/9
Factor 2*l**2/9 - 38*l/3 - 3080/9.
2*(l - 77)*(l + 20)/9
Factor -18508*o**2 - 55526*o - 6.
-2*(o + 3)*(9254*o + 1)
Factor -3*p**2/8 + 51*p/8 + 369.
-3*(p - 41)*(p + 24)/8
Let -l**5 + 37*l**4 - 101*l**3 - 37*l**2 + 102*l = 0. What is l?
-1, 0, 1, 3, 34
Factor -a**3/9 - 40*a**2/3 + 889*a/9.
-a*(a - 7)*(a + 127)/9
Factor 5*n**2/4 - 16855*n/2 + 235725/4.
5*(n - 6735)*(n - 7)/4
Factor 3*b**2 + 23652*b.
3*b*(b + 7884)
Solve 2*v**5 + 522*v**4 + 10284*v**3 + 49336*v**2 + 90480*v + 57600 = 0 for v.
-240, -15, -2
Let q**2 - 59*q + 270 = 0. Calculate q.
5, 54
Factor -3*x**2 - 9924*x + 917460.
-3*(x - 90)*(x + 3398)
Factor 20*c**2/7 + 1559562*c/7 + 155956/7.
2*(c + 77978)*(10*c + 1)/7
Let -2*y**4/5 + 72*y**3/5 - 24*y**2 - 5