given that 2*m**5/9 + 8*m**4/9 - 20*m**2/9 - 2*m/9 + 4/3 = 0.
-3, -2, -1, 1
Solve -4*z**4/5 + 1024*z**3/5 - 200*z**2 - 5088*z/5 - 612 = 0 for z.
-1, 3, 255
Factor -3*z**2 - 262668*z - 5749539852.
-3*(z + 43778)**2
Factor -643107*b**2 + 9750780*b - 36960300.
-3*(463*b - 3510)**2
Determine r, given that 4*r**2 + 624*r + 1232 = 0.
-154, -2
Find h such that 2*h**3/11 + 14*h**2 - 880*h + 10648 = 0.
-121, 22
Find a, given that a**2/4 - 18845*a + 355134025 = 0.
37690
Let -2*r**3/7 + 860*r**2/7 - 67586*r/7 + 212064 = 0. What is r?
47, 336
Factor 3*j**3/5 - 792*j**2/5 - 38433*j/5 - 37638/5.
3*(j - 306)*(j + 1)*(j + 41)/5
Determine l so that -2*l**2 + 38654*l + 38656 = 0.
-1, 19328
Find j such that 3*j**3 - 396*j**2 + 15120*j - 129600 = 0.
12, 60
Let -4*l**5/3 + 176*l**4/3 - 2492*l**3/3 + 11920*l**2/3 - 3200*l = 0. What is l?
0, 1, 8, 15, 20
Determine a, given that 2*a**2/7 + 256624*a/7 - 256626/7 = 0.
-128313, 1
What is u in 5*u**4 - 740*u**3 - 180635*u**2 + 547010*u - 365640 = 0?
-132, 1, 2, 277
Factor -4*k**2/7 - 12784*k - 268428/7.
-4*(k + 3)*(k + 22369)/7
Determine d, given that -700*d**5 - 13315*d**4 - 11485*d**3 + 24960*d**2 + 540*d = 0.
-18, -2, -3/140, 0, 1
Find b such that 2*b**4 + 656*b**3 + 1178*b**2 - 41076*b = 0.
-326, -9, 0, 7
Factor v**2/6 + 18241*v/6 + 9119.
(v + 3)*(v + 18238)/6
What is w in -4*w**5 + 240*w**4 + 2428*w**3 - 17272*w**2 + 8832*w + 28288 = 0?
-13, -1, 2, 4, 68
Find j, given that j**2/2 + 20473*j + 419143729/2 = 0.
-20473
Suppose -y**5/8 + 5*y**4/8 + 11*y**3/8 - 33*y**2/8 + 9*y/4 = 0. Calculate y.
-3, 0, 1, 6
Find m, given that 10*m**2/9 + 17614*m/9 + 2348/3 = 0.
-1761, -2/5
Factor 3*h**3/5 + 579*h**2 + 245622*h/5.
3*h*(h + 94)*(h + 871)/5
Factor s**4/4 - 145841*s**3/2 + 21269597281*s**2/4.
s**2*(s - 145841)**2/4
Find t such that 2*t**2/13 - 2692308*t/13 + 906065295858/13 = 0.
673077
Determine v, given that -2*v**5/23 + 260*v**4/23 + 534*v**3/23 - 776*v**2/23 - 2104*v/23 - 1056/23 = 0.
-2, -1, 2, 132
Solve -2*o**4/5 - 2122*o**3/5 + 2*o**2/5 + 2122*o/5 = 0 for o.
-1061, -1, 0, 1
Factor -a**3/2 - 12059*a**2/4 - 4540588*a + 11370320.
-(a + 3016)**2*(2*a - 5)/4
Factor -3*i**4 - 76*i**3 + 53*i**2 + 26*i.
-i*(i - 1)*(i + 26)*(3*i + 1)
Factor 4*i**4 - 286364*i**3 + 5124841708*i**2 + 15377102508*i.
4*i*(i - 35797)**2*(i + 3)
What is b in -2*b**5 + 4*b**4 + 408*b**3 - 2384*b**2 + 4672*b - 3072 = 0?
-16, 2, 12
Solve 398*j**3 - 394*j**2 - 800*j - 8 = 0.
-1, -2/199, 2
Let -3*d**4/5 - 270*d**3 - 47919*d**2/5 + 523152*d/5 - 168756 = 0. What is d?
-410, -49, 2, 7
Solve -3*y**5 - 15*y**4 + 207*y**3 - 69*y**2 - 1704*y + 1584 = 0.
-11, -3, 1, 4
Let -l**2/5 + 15112*l/5 + 15113/5 = 0. Calculate l.
-1, 15113
Factor l**2/2 + 3678*l - 327536.
(l - 88)*(l + 7444)/2
Suppose 3*c**2 - 46641*c + 93270 = 0. What is c?
2, 15545
Determine b, given that 10*b**4 - 79504*b**3 + 157958520*b**2 + 253000832*b - 126468608 = 0.
-2, 2/5, 3976
Let -i**4/2 - 194*i**3 - 2675*i**2/2 - 1516*i + 3048 = 0. What is i?
-381, -4, 1
Solve m**3/3 + 4418*m**2 + 52980*m + 158904 = 0.
-13242, -6
Factor s**4/6 - 2593*s**3/3 + 25830*s**2 - 773900*s/3 + 2578000/3.
(s - 5156)*(s - 10)**3/6
Solve -4*i**2/3 - 2012*i/3 + 4760 = 0 for i.
-510, 7
Suppose 9*g**5/4 + 2706*g**4 - 14469*g**3/4 - 6318*g**2 + 3615*g + 3612 = 0. What is g?
-1204, -1, -2/3, 1, 2
Determine g, given that 3*g**4 - 1986*g**3 + 490503*g**2 - 53562420*g + 2182142700 = 0.
145, 186
Suppose 5*d**2/4 + 508605*d - 2034425/4 = 0. Calculate d.
-406885, 1
Factor i**3 + 15418*i**2 + 77069*i + 61652.
(i + 1)*(i + 4)*(i + 15413)
Let -44*p**4 - 39592*p**3 - 268108*p**2 - 185696*p + 42864 = 0. Calculate p.
-893, -6, -1, 2/11
Factor -2*o**3/7 - 62*o**2/7 - 552*o/7 - 1152/7.
-2*(o + 3)*(o + 12)*(o + 16)/7
Factor -b**4 + 39209*b**3 + 588285*b**2 + 2941675*b + 4903000.
-(b - 39224)*(b + 5)**3
Factor 7203*x**5 + 1095150*x**4 + 41649219*x**3 + 1698600*x**2 + 17328*x.
3*x*(x + 76)**2*(49*x + 1)**2
Suppose -4*r**5 - 10148*r**4 - 6451564*r**3 - 19263468*r**2 = 0. Calculate r.
-1267, -3, 0
Factor s**3/3 + 19*s**2/3 + 76*s/3 - 32.
(s - 1)*(s + 8)*(s + 12)/3
Determine m so that -4*m**2/3 + 7144*m/3 + 4768 = 0.
-2, 1788
Determine u, given that -2*u**4 + 3934*u**3 + 63458*u**2 - 3934*u - 63456 = 0.
-16, -1, 1, 1983
Determine b so that 3*b**3 + 1239*b**2 + 9741*b + 8505 = 0.
-405, -7, -1
Factor 4*g**4 + 128*g**3 - 136*g**2 - 128*g + 132.
4*(g - 1)**2*(g + 1)*(g + 33)
Find z, given that 4*z**4 - 12604*z**3 + 88000*z**2 + 100608*z = 0.
-1, 0, 8, 3144
Find y, given that 25*y**5 - 4295*y**4 + 34895*y**3 + 157295*y**2 + 720*y - 117360 = 0.
-3, -1, 4/5, 12, 163
Let 8*m**5/7 + 74*m**4/7 - 1110*m**3/7 - 12962*m**2/7 - 4910*m - 7800/7 = 0. Calculate m.
-12, -5, -1/4, 13
Find y such that -2*y**2/3 - 2330*y/3 - 92168/3 = 0.
-1124, -41
Factor 4*l**3 + 23476*l**2 + 117256*l - 140736.
4*(l - 1)*(l + 6)*(l + 5864)
What is c in -5*c**5 - 19365*c**4 + 38775*c**3 + 96845*c**2 - 116250*c = 0?
-3875, -2, 0, 1, 3
Solve t**5 + 1025*t**4 + 249422*t**3 - 6841298*t**2 + 12930225*t - 6339375 = 0.
-525, 1, 23
Find v such that 2*v**3 + 1648*v**2 - 14958*v + 29988 = 0.
-833, 3, 6
Suppose 5*f**4 + 20*f**3 - 3485*f**2 - 3500*f = 0. Calculate f.
-28, -1, 0, 25
What is d in -16*d**3 + 324*d**2 + 3196*d - 7560 = 0?
-35/4, 2, 27
What is r in r**5/7 + 3529*r**4/7 + 3515*r**3/7 - 45865*r**2/7 - 3516*r/7 + 6048 = 0?
-3528, -4, -1, 1, 3
Determine b so that -3*b**2 + 1821*b - 64866 = 0.
38, 569
Let -z**3/2 - 263*z**2/2 - 13195*z/2 + 567675/2 = 0. What is z?
-145, 27
Determine l so that l**4/4 + 5653*l**3/4 - 119355*l**2/2 + 683200*l - 1139000 = 0.
-5695, 2, 20
Suppose 5*a**3/4 - 21263*a**2/4 - 119689*a - 47025 = 0. What is a?
-22, -2/5, 4275
Suppose -3*i**2/5 + 3234*i/5 - 171696/5 = 0. Calculate i.
56, 1022
Factor -2*b**3/11 + 456*b**2/11 + 918*b/11 - 3651804/11.
-2*(b - 153)**2*(b + 78)/11
Factor 2*k**3/3 - 392*k**2 + 34782*k + 21860828/3.
2*(k - 341)**2*(k + 94)/3
Determine b so that -b**2/6 + 2*b + 14/3 = 0.
-2, 14
Factor 4*g**3 - 92444*g**2 + 534072096*g + 534164544.
4*(g - 11556)**2*(g + 1)
Solve 2*a**2/7 + 1618*a/7 - 6504/7 = 0 for a.
-813, 4
Determine m so that -2*m**4 + 536*m**3 - 6740*m**2 + 28200*m - 38250 = 0.
3, 5, 255
Let p**3 + 32*p**2 - 140*p + 144 = 0. Calculate p.
-36, 2
Solve 22*m**3/9 - 68*m**2 - 1432*m/9 - 80/3 = 0 for m.
-2, -2/11, 30
Solve -2*z**2/3 - 284*z/3 + 290 = 0.
-145, 3
Let 2*v**4/7 + 10*v**3/7 - 96*v**2/7 + 8*v + 160/7 = 0. Calculate v.
-10, -1, 2, 4
What is i in -2*i**4/7 + 768*i**3/7 - 12588*i**2/7 + 40448*i/7 - 28626/7 = 0?
1, 3, 13, 367
Solve 42*p**5 - 6043*p**4 + 94366*p**3 + 33511*p**2 - 94408*p - 27468 = 0.
-1, -2/7, 1, 109/6, 126
Solve -4*t**5/3 + 12*t**4 + 200*t**3 + 1184*t**2/3 - 1664*t - 4608 = 0 for t.
-4, 3, 18
Factor 4*l**2/5 + 69536*l/5 + 302203456/5.
4*(l + 8692)**2/5
Factor -2*h**2/7 + 134*h + 32064/7.
-2*(h - 501)*(h + 32)/7
Solve 3*h**2/2 - 148005*h + 7301826675/2 = 0 for h.
49335
Factor k**2/2 - 54*k + 1216.
(k - 76)*(k - 32)/2
Solve -s**3/9 + 125041*s**2/9 - 3908625352*s/9 - 3909000484/3 = 0 for s.
-3, 62522
Find d such that 2*d**2/5 - 311756*d/5 + 623504/5 = 0.
2, 155876
Solve 4*y**2 - 196008*y + 2401196004 = 0 for y.
24501
Factor 4*j**2/21 - 386882*j/21 + 64480/7.
2*(j - 96720)*(2*j - 1)/21
Let -80586*g**5 - 6494631*g**4/5 + 13740116*g**3/5 + 1697472*g**2/5 + 48592*g/5 - 144/5 = 0. Calculate g.
-18, -2/33, 1/370, 2
Let -4*l**2 - 146900*l + 146904 = 0. Calculate l.
-36726, 1
Let z**5/6 + 173*z**4/3 + 14614*z**3/3 - 60725*z**2/3 + 30625*z/2 = 0. What is z?
-175, 0, 1, 3
Factor -14*t**2/5 - 14730*t + 21044/5.
-2*(t + 5261)*(7*t - 2)/5
What is p in 4*p**3/7 + 16*p**2/7 - 268*p/7 - 40 = 0?
-10, -1, 7
Determine b so that -940*b**2 - 1764*b + 232 = 0.
-2, 29/235
Determine k so that -4*k**2 + 7576*k + 215264 = 0.
-28, 1922
Factor -3*n**2 - 9138*n + 9141.
-3*(n - 1)*(n + 3047)
Factor -2*g**2/3 - 306*g - 3576.
-2*(g + 12)*(g + 447)/3
What is a in 15*a**5 + 2435*a**4 + 39855*a**3 + 35245*a**2 - 212910*a - 73440 = 0?
-144, -17, -3, -1/3, 2
Let -35*s**5 + 13925*s**4 + 72455*s**3 + 34555*s**2 - 120900*s = 0. Calculate s.
-4, -15/7, 0, 1, 403
Factor r**3/5 + 6498*r**2/5 - 19501*r/5 + 13002/5.
(r - 2)*(r - 1)*(r + 6501)/5
Solve -35*r**2 - 2228090*r + 636600 = 0.
-63660, 2/7
Suppose d**3/4 - 28717*d**2/4 + 51616930*d - 1080791796 = 0. What i