788*c**2 + 3760*c + 832.
(c + 4)**2*(c + 52)*(4*c + 1)
Find s, given that 2310*s**5 + 21933*s**4/2 - 21396*s**3 - 46089*s**2/2 + 6990*s - 18 = 0.
-6, -1, 1/385, 1/4, 2
Determine f so that f**2/3 - 31550*f/3 + 31549/3 = 0.
1, 31549
Factor -4*g**2/3 + 2816*g/3 + 44940.
-4*(g - 749)*(g + 45)/3
Find g, given that -3*g**4/5 + 2677*g**3/5 + 4472*g**2/5 - 1788*g/5 = 0.
-2, 0, 1/3, 894
Factor -3*r**3 - 3834*r**2 + 7689*r + 11520.
-3*(r - 3)*(r + 1)*(r + 1280)
Factor -4*v**4 + 4736*v**3 - 205020*v**2.
-4*v**2*(v - 1139)*(v - 45)
Factor 4*z**3 + 372*z**2 - 92292*z - 92660.
4*(z - 113)*(z + 1)*(z + 205)
Factor 4*s**3/7 - 17032*s**2 - 1550588*s/7.
4*s*(s - 29819)*(s + 13)/7
Solve -l**3 + 484*l**2 + 972*l = 0.
-2, 0, 486
Find p, given that -p**5/5 - 101*p**4/5 - 2289*p**3/5 - 1791*p**2/5 + 83862*p/5 - 33048 = 0.
-68, -30, -9, 3
Solve -3*s**2 + 133491*s = 0.
0, 44497
Factor -4*y**2/7 - 4412*y/7 - 73720.
-4*(y + 133)*(y + 970)/7
Solve 4*s**5 + 132*s**4 - 14136*s**3 + 237200*s**2 - 1231200*s + 1008000 = 0 for s.
-84, 1, 10, 30
Find b such that b**5 + 11*b**4 - 1383*b**3 + 17929*b**2 - 44302*b + 27744 = 0.
-48, 1, 2, 17
Determine o so that 3*o**3/4 + 411*o**2/2 - 5901*o/4 = 0.
-281, 0, 7
Find l, given that -3*l**4/8 - 87*l**3/4 - 273*l**2 - 1929*l/4 - 1845/8 = 0.
-41, -15, -1
Solve c**3/4 + 75*c**2/4 + 252*c + 944 = 0 for c.
-59, -8
Let 1934*h**4/7 - 3816*h**3/7 + 1830*h**2/7 + 52*h/7 = 0. Calculate h.
-26/967, 0, 1
Let q**5 + 33*q**4 + 183*q**3 - q**2 - 684*q + 468 = 0. Calculate q.
-26, -6, -3, 1
Suppose -f**2/5 - 4786*f/5 - 957 = 0. Calculate f.
-4785, -1
Let -4*k**5 + 236*k**4 - 420*k**3 - 2060*k**2 + 424*k + 1824 = 0. What is k?
-2, -1, 1, 4, 57
Factor -4*y**2/3 - 68876*y/3 - 275440/3.
-4*(y + 4)*(y + 17215)/3
Factor g**2/4 + 29*g/4 + 42.
(g + 8)*(g + 21)/4
Factor z**4/2 + 1123*z**3 - 2249*z**2/2 - 2247*z.
z*(z - 2)*(z + 1)*(z + 2247)/2
Determine m so that -5*m**3/2 + 52611*m**2/2 - 63127*m/2 + 10521/2 = 0.
1/5, 1, 10521
Solve 4*m**3/3 - 16616*m**2 - 33236*m - 49856/3 = 0.
-1, 12464
Solve 4*o**5 + 3988*o**4 + 833356*o**3 - 80006692*o**2 + 1652402240*o - 1573232896 = 0.
-536, 1, 37
Let 195*j**5 + 775*j**4 - 20*j**3 = 0. What is j?
-4, 0, 1/39
Determine u so that -4*u**4 - 11129*u**3 - 7991902*u**2 - 346339296*u - 86085504 = 0.
-1368, -46, -1/4
Solve w**3/7 + 2697*w**2/7 + 13464*w/7 + 10768/7 = 0 for w.
-2692, -4, -1
Factor -2*t**4 - 48560*t**3 - 291312*t**2 - 582592*t - 388384.
-2*(t + 2)**3*(t + 24274)
Find k, given that k**5 + 392*k**4 + 38020*k**3 - 78010*k**2 - 38021*k + 77618 = 0.
-197, -1, 1, 2
Let 3*n**4/2 - 885*n**3/2 + 38664*n**2 - 876744*n + 4390848 = 0. What is n?
7, 24, 132
What is c in c**3/2 - 3157*c**2 - 25259*c/8 - 6315/8 = 0?
-1/2, 6315
Factor -4*t**3 + 540*t**2 + 68628*t + 1634516.
-4*(t - 221)*(t + 43)**2
Factor -19*c**2/5 - 212*c/5 + 231/5.
-(c - 1)*(19*c + 231)/5
Solve -470*q**3 + 38995*q**2 - 74895*q - 2430 = 0 for q.
-3/94, 2, 81
Factor 5*i**3 - 305*i**2 + 2020*i + 5300.
5*(i - 53)*(i - 10)*(i + 2)
Find b such that 5*b**4 - 4030*b**3 + 799820*b**2 + 4945080*b = 0.
-6, 0, 406
Factor 4*a**2 - 15560*a - 31136.
4*(a - 3892)*(a + 2)
Factor 100*c**4/7 - 13940*c**3/7 - 22496*c**2/7 - 9024*c/7.
4*c*(c - 141)*(5*c + 4)**2/7
Factor -c**2 + 34709*c - 104118.
-(c - 34706)*(c - 3)
Let 34*d**3/5 + 293*d**2/5 + 806*d/5 + 712/5 = 0. What is d?
-4, -89/34, -2
What is t in -t**3/2 - 103*t**2/2 - 3003*t/2 - 26901/2 = 0?
-61, -21
Suppose 4*h**3 + 30520*h**2 + 58520900*h + 1158242000 = 0. What is h?
-3805, -20
Determine t, given that -3*t**5/2 - 420*t**4 - 58791*t**3/2 + 1257*t**2 + 87360*t - 58800 = 0.
-140, -2, 1
Suppose 3*l**5 - 828*l**4 - 6825*l**3 + 2490*l**2 + 18792*l - 13632 = 0. What is l?
-8, -2, 1, 284
Factor -3*w**3/2 + 493*w**2/2 - 81*w - 164.
-(w - 164)*(w - 1)*(3*w + 2)/2
Let -5*k**3 + 5175*k**2 = 0. Calculate k.
0, 1035
Determine h, given that h**4 - 298*h**3 + 2053*h**2 - 4668*h + 3492 = 0.
2, 3, 291
Factor -2*p**2 - 878*p + 10824.
-2*(p - 12)*(p + 451)
Solve 210*g**4 - 1265*g**3 - 7530*g**2 + 45540*g - 1080 = 0 for g.
-6, 1/42, 6
Factor -5*b**2 - 127990*b - 819072005.
-5*(b + 12799)**2
Factor 5*w**2 - 1755*w - 57150.
5*(w - 381)*(w + 30)
Factor 5*d**3/3 + 175*d**2 + 6610*d/3 + 7280.
5*(d + 6)*(d + 8)*(d + 91)/3
Factor 1492*q**2 + 4452*q - 72.
4*(q + 3)*(373*q - 6)
What is s in -3*s**2/2 - 24*s + 1440 = 0?
-40, 24
Let 4*w**2 + 12303344*w + 9460767098896 = 0. What is w?
-1537918
Suppose -2*l**3/15 - 4*l**2/5 + 88*l/5 + 112/3 = 0. Calculate l.
-14, -2, 10
Let 21*n**4/4 - 282*n**3 + 13257*n**2/4 - 13089*n/2 - 10146 = 0. What is n?
-1, 4, 89/7, 38
Let -f**2/6 - 28*f/3 + 10858/3 = 0. What is f?
-178, 122
Factor 4*a**2 + 1548*a - 938080.
4*(a - 328)*(a + 715)
What is d in -12*d**2 - 683204*d - 455464 = 0?
-56933, -2/3
Determine h, given that 20*h**2 + 29665*h + 37050 = 0.
-1482, -5/4
Factor -q**3/4 + 123*q**2/4 - 116*q - 357.
-(q - 119)*(q - 6)*(q + 2)/4
Find l, given that -2*l**3 + 142466*l**2/3 + 142472*l/3 = 0.
-1, 0, 71236/3
What is a in 5*a**2 - 427520*a + 9138667520 = 0?
42752
Factor p**5 - 57*p**4 - 60*p**3 + 116*p**2.
p**2*(p - 58)*(p - 1)*(p + 2)
Find u, given that -12*u**4 + 4907*u**3 + 97994*u**2 + 7723*u - 8132 = 0.
-19, -1/3, 1/4, 428
Let 2*n**2 + 2007112*n + 2007110 = 0. What is n?
-1003555, -1
Factor -4*j**2 + 11140*j + 869744.
-4*(j - 2861)*(j + 76)
Find n such that 81*n**3/2 + 31491*n**2 + 236198*n + 445060 = 0.
-770, -34/9
Factor -u**2/6 - 49*u/3 - 296.
-(u + 24)*(u + 74)/6
Let 5*g**3 + 91040*g**2 = 0. What is g?
-18208, 0
What is s in 2*s**5 + 226*s**4 + 2126*s**3 + 6878*s**2 + 8272*s + 3296 = 0?
-103, -4, -1
What is n in -11*n**4/2 - 21977*n**3/4 - 5477001*n**2/4 + 1437250*n - 62500 = 0?
-500, 1/22, 1
Factor -j**4/10 + 2526*j**3/5 - 3225506*j**2/5 + 88834368*j/5 - 618394112/5.
-(j - 2512)**2*(j - 14)**2/10
Factor w**2 - 622560*w + 622559.
(w - 622559)*(w - 1)
Solve -2*w**2/15 + 221276*w/15 = 0.
0, 110638
Solve f**2/2 - 1081*f - 2164 = 0.
-2, 2164
Solve 5*n**3/3 + 15085*n**2 + 34080725*n - 717914435/3 = 0.
-4529, 7
Find n such that 3*n**3 + 252*n**2 - 75*n - 6300 = 0.
-84, -5, 5
Let -5*q**5 - 175*q**4 - 110*q**3 + 2020*q**2 - 760*q - 2720 = 0. What is q?
-34, -4, -1, 2
Let -4*g**2/9 - 2209688*g/9 - 305170066084/9 = 0. Calculate g.
-276211
Factor j**3/10 + 14*j**2/5 + 39*j/2.
j*(j + 13)*(j + 15)/10
Solve -4*w**3 + 95088*w**2 - 285236*w + 190152 = 0.
1, 2, 23769
What is s in 86*s**3/5 - 1552*s**2/5 + 72*s/5 = 0?
0, 2/43, 18
Solve z**3/4 - 97*z**2/4 - 291*z - 648 = 0 for z.
-8, -3, 108
Factor 3*b**3 + 12927*b**2 + 77481*b + 116181.
3*(b + 3)**2*(b + 4303)
Suppose -3*z**3/5 - 881133*z**2/5 - 12940010841*z - 12939834615 = 0. Calculate z.
-146855, -1
Factor 2*z**3 + 14614*z**2 + 26644902*z - 187231086.
2*(z - 7)*(z + 3657)**2
Solve -4*q**2/7 - 158552*q/7 - 1571171044/7 = 0 for q.
-19819
Let 4*c**2 + 532*c + 4920 = 0. What is c?
-123, -10
Let 2*c**5 + 746*c**4 + 69932*c**3 + 67704*c**2 - 138384*c = 0. Calculate c.
-186, -2, 0, 1
Factor -3*n**2 + 3384*n + 3387.
-3*(n - 1129)*(n + 1)
Factor g**3 + 118*g**2 + 117*g.
g*(g + 1)*(g + 117)
Solve i**4/5 + 514*i**3/5 + 4572*i**2/5 + 13662*i/5 + 2727 = 0.
-505, -3
Determine v so that -2*v**4/7 - 496*v**3/7 + 13010*v**2/7 - 12512*v/7 = 0.
-272, 0, 1, 23
Let -2*y**3/3 + 539*y**2/2 - 11122*y/3 + 910 = 0. What is y?
1/4, 14, 390
Let -4*h**3/3 + 124*h**2/3 + 1016*h/3 + 608 = 0. What is h?
-4, -3, 38
Find r such that 2*r**2 - 1022*r + 52548 = 0.
58, 453
Determine s, given that 3*s**3/7 + 12288*s**2/7 + 12908127*s/7 + 661679442/7 = 0.
-2021, -54
Factor -3*k**3 + 273*k**2 + 5187*k - 5457.
-3*(k - 107)*(k - 1)*(k + 17)
What is s in -s**2 + 1549*s - 12328 = 0?
8, 1541
Factor -t**2/2 + 1691*t - 3381/2.
-(t - 3381)*(t - 1)/2
Let x**5/2 + 34*x**4 - 71*x**3/2 - 69*x**2 = 0. Calculate x.
-69, -1, 0, 2
Let v**4/5 - 51904*v**3 + 519037*v**2/5 - 259518*v/5 = 0. What is v?
0, 1, 259518
Determine t, given that -t**4 - 12421*t**3 - 51554790*t**2 - 72031288700*t - 2183794907000 = 0.
-4130, -31
Determine m, given that -2*m**3/13 + 298*m**2/13 - 880*m + 10088 = 0.
26, 97
Let -5*b**4 + 2405*b**3 + 117920*b**2 + 226180*b = 0. What is b?
-43, -2, 0, 526
What is n in -5*n**4 + 150*n**3 - 465*n**2 - 1400*n - 780 = 0?
-1, 6, 26
Suppose 9*g**4/2 + 54663*g**3/8 - 10827*g**2 + 36477*g/8 - 570 = 0. What is g?
-1520, 1/4,