- 20601 = 0.
-981, -7/4
Determine d, given that 275*d**4 - 14585*d**3 - 114970*d**2 + 4200*d = 0.
-7, 0, 2/55, 60
Determine a so that -a**5 + 30*a**4 - 137*a**3 - 216*a**2 + 1188*a - 864 = 0.
-3, 1, 2, 6, 24
Let c**5 + 231*c**4 - 10402*c**3 + 117938*c**2 - 205599*c + 97831 = 0. Calculate c.
-271, 1, 19
Determine t, given that 2*t**3 - 34928*t**2 - 104798*t - 69868 = 0.
-2, -1, 17467
Factor 3*c**4 + 906*c**3 - 9264*c**2 + 29856*c - 29952.
3*(c - 4)**2*(c - 2)*(c + 312)
Suppose -14*b**2/3 + 1590*b - 4756/3 = 0. Calculate b.
1, 2378/7
Factor 3*j**3 - 1221*j**2 - 381951*j - 23249727.
3*(j - 629)*(j + 111)**2
Factor -3*r**3 - 3087*r**2 + 37368*r - 112428.
-3*(r - 6)**2*(r + 1041)
Factor k**3/4 - 1341*k**2/4 - 10920*k - 87872.
(k - 1373)*(k + 16)**2/4
Suppose q**2 + 326576*q + 26662970944 = 0. Calculate q.
-163288
Determine z, given that -z**4/5 + 408*z**3/5 - 2814*z**2/5 + 2792*z/5 + 1203 = 0.
-1, 3, 5, 401
Factor -5*u**2 - 29615*u - 266130.
-5*(u + 9)*(u + 5914)
Factor -20752598*j**2 + 144844*j - 4802/19.
-2*(14041*j - 49)**2/19
Factor -2*z**4 + 646*z**3 + 648*z**2.
-2*z**2*(z - 324)*(z + 1)
Factor 5*x**2 - 208940*x - 1462825.
5*(x - 41795)*(x + 7)
Factor -2*f**3 + 105112*f**2 + 210230*f + 105116.
-2*(f - 52558)*(f + 1)**2
Determine r, given that 4*r**5/7 - 2*r**4 - 166*r**3/7 - 286*r**2/7 - 30*r/7 + 108/7 = 0.
-3, -2, -1, 1/2, 9
Factor -2*x**3 - 40*x**2 + 216*x + 576.
-2*(x - 6)*(x + 2)*(x + 24)
Factor -2*b**2/5 - 176248*b/5 - 3882919688/5.
-2*(b + 44062)**2/5
Factor -2*s**5 + 2024*s**4 - 476508*s**3 - 17995384*s**2 - 158099762*s.
-2*s*(s - 523)**2*(s + 17)**2
Determine n so that -n**2 - 93054*n = 0.
-93054, 0
Find x, given that 5*x**5 - 85*x**4 - 90*x**3 = 0.
-1, 0, 18
Let -1083*c**3 - 242820*c**2 - 51084*c - 2688 = 0. Calculate c.
-224, -2/19
Factor 7290*c**2 + 40608*c + 282752/5.
2*(135*c + 376)**2/5
Determine c, given that -4*c**3/3 - 20*c**2 + 300*c + 4500 = 0.
-15, 15
Let -5*a**4 + 130*a**3 - 205*a**2 - 820*a - 480 = 0. What is a?
-1, 4, 24
Find l such that l**5/3 - 176*l**4 + 27671*l**3/3 = 0.
0, 59, 469
Find p such that -3*p**2 - 4145280*p - 1431945523200 = 0.
-690880
Let 10*i**5/9 + 22*i**4/9 - 214*i**3/3 - 1310*i**2/9 - 656*i/9 = 0. Calculate i.
-41/5, -1, 0, 8
Suppose -2*c**3/7 + 22*c**2/7 + 64*c + 792/7 = 0. What is c?
-9, -2, 22
Factor -u**2/6 + 4159*u/3 - 13855/2.
-(u - 8313)*(u - 5)/6
Factor 4805*a**4 + 17202830*a**3 + 15399029945*a**2 + 2979974100*a + 144184500.
5*(a + 1790)**2*(31*a + 3)**2
Let -5*a**4 + 445*a**3 - 8975*a**2 + 16635*a - 8100 = 0. Calculate a.
1, 27, 60
Determine h so that -5*h**3 - 135*h**2 - 715*h + 855 = 0.
-19, -9, 1
Determine k so that 2*k**5/7 - 92*k**4/7 + 1020*k**3/7 + 1688*k**2/7 - 17342*k/7 - 31740/7 = 0.
-3, -2, 5, 23
Find g, given that -7*g**4 + 398*g**3 + 7063*g**2 - 8222*g - 14880 = 0.
-15, -1, 2, 496/7
Factor 4*o**2 + 1748*o.
4*o*(o + 437)
Factor 16129*l**3/6 - 148082*l**2/3 + 293056*l - 554496.
(l - 4)*(127*l - 912)**2/6
Solve -v**5/8 + 15*v**4/4 - 109*v**3/8 + 33*v**2/2 - 13*v/2 = 0.
0, 1, 2, 26
Find h such that 2*h**3 + 30*h**2 - 482*h + 450 = 0.
-25, 1, 9
Find k such that k**5/3 + 3197*k**4/3 + 2613680*k**3/3 + 93504724*k**2/3 + 299909280*k + 269611200 = 0.
-1580, -18, -1
Factor i**4/4 + 118691*i**3/2 + 4695870942*i**2 + 247719714433885*i/2 + 495420645621383/4.
(i + 1)*(i + 79127)**3/4
What is q in 5*q**3 - 91590*q**2 + 419436405*q = 0?
0, 9159
Let -m**2/5 + 21638*m/5 + 129864/5 = 0. Calculate m.
-6, 21644
Suppose f**4/3 - 29*f**3 + 62*f**2/3 + 676*f + 1032 = 0. What is f?
-3, -2, 6, 86
Factor -435*y**3/2 + 57*y**2/2.
-3*y**2*(145*y - 19)/2
Factor 6*j**3/5 + 23286*j**2/5 - 6*j/5 - 23286/5.
6*(j - 1)*(j + 1)*(j + 3881)/5
Solve -5*j**3 + 33825*j**2 - 57087960*j - 401274860 = 0 for j.
-7, 3386
Find j, given that 7*j**4/8 + 2497*j**3/8 + 4251*j**2/8 - 3205*j/8 - 1775/4 = 0.
-355, -2, -5/7, 1
Factor 3*m**2/5 - 12765*m - 63828/5.
3*(m - 21276)*(m + 1)/5
Determine m, given that 172*m**3/11 + 174*m**2/11 - 342*m/11 - 4/11 = 0.
-2, -1/86, 1
Find b, given that 905*b**2/3 + 104085*b + 3450 = 0.
-345, -6/181
Find j, given that -j**2/3 - 819088*j/3 - 167726287936/3 = 0.
-409544
Let -15*i**5/2 - 425*i**4/2 + 1975*i**3 - 3500*i**2 - 2800*i + 2880 = 0. What is i?
-36, -1, 2/3, 4
Solve -351*s**3/2 + 49*s**2/3 = 0.
0, 98/1053
Let 3*y**2/5 - 91*y/5 + 88/5 = 0. What is y?
1, 88/3
Solve -q**3/2 + 442*q**2 - 142477*q/2 - 12395499 = 0 for q.
-102, 493
What is g in g**5/5 + 188*g**4/5 - 7152*g**3/5 + 86218*g**2/5 - 374737*g/5 + 295482/5 = 0?
-222, 1, 11
Solve -5*h**4/6 - 28*h**3 - 246*h**2 - 1160*h/3 = 0 for h.
-20, -58/5, -2, 0
Solve s**5/5 + 3263*s**4/5 = 0 for s.
-3263, 0
Solve 4*m**4 + 928*m**3 - 4*m**2 - 928*m = 0.
-232, -1, 0, 1
Factor b**5 + 156*b**4 + 6057*b**3 - 4266*b**2 - 172692*b - 328536.
(b - 6)*(b + 3)**2*(b + 78)**2
Let -a**2 + 22391*a + 22392 = 0. What is a?
-1, 22392
Factor -2*m**3/11 - 135100*m**2/11 - 2281366144*m/11 + 4563272704/11.
-2*(m - 2)*(m + 33776)**2/11
Determine v so that -21*v**4/2 - 2535*v**3/2 - 91653*v**2/2 - 858441*v/2 + 126405 = 0.
-53, -15, 2/7
Suppose -20*p**5 - 605780*p**4 - 1817225*p**3 - 1968620*p**2 - 908585*p - 151430 = 0. What is p?
-30286, -1, -1/2
Let -k**5/5 - 2681*k**4/5 - 1668743*k**3/5 + 174813317*k**2/5 + 1668744*k/5 - 174810636/5 = 0. Calculate k.
-1386, -1, 1, 91
Let -4*m**3 - 132188*m**2 - 396536*m - 264352 = 0. Calculate m.
-33044, -2, -1
Suppose -g**2/2 + 1006*g + 2014 = 0. Calculate g.
-2, 2014
What is x in -2*x**5 - 390*x**4 + 2418*x**3 + 1174*x**2 - 6456*x - 4824 = 0?
-201, -1, 2, 6
Determine y, given that -y**3/3 + 292*y**2/3 - 1987*y/3 - 760 = 0.
-1, 8, 285
Factor -12*n**2 + 178881*n + 402543.
-3*(n - 14909)*(4*n + 9)
Factor -j**3/3 - 43*j**2/3 + 514*j/3 - 848/3.
-(j - 8)*(j - 2)*(j + 53)/3
Factor q**2/3 + 152072*q/3 + 152071/3.
(q + 1)*(q + 152071)/3
Let 3*s**4/2 - 399*s**3/2 + 17013*s**2/2 - 227529*s/2 = 0. Calculate s.
0, 27, 53
Factor 22*j**3/5 - 5233*j**2/5 + 310828*j/5 + 42483/5.
(j - 119)**2*(22*j + 3)/5
Let -5*m**4/4 - 12205*m**3/2 - 29767965*m**2/4 + 14926725*m + 22362615 = 0. What is m?
-2442, -1, 3
Suppose 961*f**4/5 + 558*f**3 - 27487*f**2/5 - 71484*f/5 + 19044 = 0. Calculate f.
-138/31, 1, 5
Let -v**4/2 + 244*v**3 - 35637*v**2/2 - 36371*v - 18308 = 0. What is v?
-1, 92, 398
Determine j so that -3*j**4 + 3366*j**3 - 69075*j**2 - 316788*j - 330300 = 0.
-2, 25, 1101
Factor -39*z**3 - 453*z**2 - 966*z - 432.
-3*(z + 2)*(z + 9)*(13*z + 8)
Find s, given that 6*s**4/5 + 206*s**3/5 + 1694*s**2/5 + 3026*s/5 + 828/5 = 0.
-23, -9, -2, -1/3
Let 2*w**2 + 120*w + 232 = 0. Calculate w.
-58, -2
Suppose 2*n**4 + 13926*n**3 + 55664*n**2 - 55704*n - 222688 = 0. Calculate n.
-6959, -4, -2, 2
Factor -2*n**4 + 1470*n**3 - 242550*n**2 - 10375750*n.
-2*n*(n - 385)**2*(n + 35)
Factor 20449*k**3/3 - 13442*k**2 - 380*k - 8/3.
(k - 2)*(143*k + 2)**2/3
Let 3*n**3 - 6*n**2 - 21*n - 12 = 0. Calculate n.
-1, 4
Factor -3*l**2/4 + 8091*l/4 + 8103.
-3*(l - 2701)*(l + 4)/4
Determine z so that 2*z**5/5 - 44*z**4/5 + 38*z**3/5 + 2244*z**2/5 + 1008*z = 0.
-4, -3, 0, 14, 15
Factor -3*t**2 - 474*t - 12375.
-3*(t + 33)*(t + 125)
Suppose 2*d**4 + 36*d**3 + 166*d**2 + 132*d = 0. What is d?
-11, -6, -1, 0
Solve 16*n**5/7 - 18*n**4/7 - 211*n**3/7 - 222*n**2/7 = 0.
-2, -3/2, 0, 37/8
Suppose -3*p**4/4 - 15*p**3/4 + 531*p**2/4 + 1107*p/4 - 405 = 0. What is p?
-15, -3, 1, 12
Solve 5*d**3 - 759180*d**2 + 1518345*d - 759170 = 0 for d.
1, 151834
Suppose -2*n**3 - 51702*n**2 - 258472*n - 310152 = 0. What is n?
-25846, -3, -2
Factor 2*b**2/9 + 970*b/9 + 17708/9.
2*(b + 19)*(b + 466)/9
Determine b so that -b**3/5 - 478*b**2/5 + 2409*b/5 - 2898/5 = 0.
-483, 2, 3
Determine s, given that s**4/5 + 27*s**3/5 + 224*s**2/5 + 588*s/5 = 0.
-14, -7, -6, 0
Factor -2*d**3/9 - 2*d**2/9 + 508*d/9 - 208.
-2*(d - 13)*(d - 4)*(d + 18)/9
Solve -3*h**3 - 465*h**2 + 65376*h - 1734912 = 0 for h.
-251, 48
Factor -3*k**3 - 52365*k**2 - 228376800*k + 1143193500.
-3*(k - 5)*(k + 8730)**2
Solve -b**3/3 - 14*b**2/3 + 7535*b/3 + 96800 = 0.
-55, 96
Factor v**4/8 - 107*v**3/4 - 739*v**2/8 + 2387*v.
v*(v - 217)*(v - 8)*(v + 11)/8
What is t in 4*t**5 + 5104*t**4 + 1623064*t**3 - 3261456*t**2 + 1633284*t = 0?
-639, 0, 1
Factor -4*s**3 - 9144*s**2 + 54972*s - 82512.
-4*(s - 3)**2*(s + 2292)
Factor 2*l**2/15 + 6756*l/5 - 20274/5.
