**4 - 48*c**3 - 184*c**2 - 240*c - 100.
-4*(c + 1)**2*(c + 5)**2
Suppose -c**4/2 - 12231*c**3/2 - 12229*c**2/2 + 12231*c/2 + 6115 = 0. What is c?
-12230, -1, 1
Factor 2*u**3 + 3906*u**2 + 3904*u.
2*u*(u + 1)*(u + 1952)
Factor r**3 - 314*r**2 - 635*r + 948.
(r - 316)*(r - 1)*(r + 3)
Factor -5*f**3 - 286655*f**2 + 286660*f.
-5*f*(f - 1)*(f + 57332)
Solve 2*r**4/3 - 334*r**3/3 + 20074*r**2/3 - 513074*r/3 + 1553244 = 0.
22, 41, 63
Factor -h**2/4 + 44751*h/2 - 268497/4.
-(h - 89499)*(h - 3)/4
Factor 4*v**2 - 13248*v - 347152.
4*(v - 3338)*(v + 26)
Solve -2*a**2 + 160*a + 1800 = 0 for a.
-10, 90
Find c such that -2*c**2/5 - 8306*c/5 + 8308/5 = 0.
-4154, 1
Determine v, given that 2*v**4 + 38668*v**3 + 186437186*v**2 - 4491210864*v + 26980715808 = 0.
-9679, 12
Find x such that x**5 + 3833*x**4 + 3831*x**3 - 3833*x**2 - 3832*x = 0.
-3832, -1, 0, 1
Find l, given that 3*l**5/7 + 3*l**4 - 360*l**3/7 - 3504*l**2/7 - 768*l + 9216/7 = 0.
-8, -4, 1, 12
Determine y, given that 5*y**4 + 34100*y**3 - 5*y**2 - 34100*y = 0.
-6820, -1, 0, 1
Factor -36*o**2/7 + 64*o - 572/7.
-4*(o - 11)*(9*o - 13)/7
Find v such that 4*v**4 + 1560*v**3 + 150468*v**2 - 330848*v - 2304960 = 0.
-196, -3, 5
Let -4*f**3 + 9668*f**2 - 5856364*f + 17482188 = 0. What is f?
3, 1207
Factor i**3/2 + 16*i**2 - 71*i/2 - 51.
(i - 3)*(i + 1)*(i + 34)/2
Factor 2*j**3/5 - 2392*j**2 + 71688*j/5.
2*j*(j - 5974)*(j - 6)/5
Solve -6*x**3/23 + 4270*x**2/23 - 15588*x/23 + 8496/23 = 0.
2/3, 3, 708
Determine p so that 2*p**2/7 + 202*p/7 + 1656/7 = 0.
-92, -9
Factor -3*r**4 - 5436*r**3 - 3277890*r**2 - 654452700*r + 1993006125.
-3*(r - 3)*(r + 605)**3
Let 52*j**5 - 892*j**4 + 5336*j**3 - 12656*j**2 + 9312*j - 1152 = 0. What is j?
2/13, 1, 4, 6
Factor c**3/4 + 7*c**2/4 - 105*c/4 + 225/4.
(c - 5)*(c - 3)*(c + 15)/4
Factor -2*j**4/9 + 536*j**3/3 - 326408*j**2/9 + 428800*j/3 - 1280000/9.
-2*(j - 400)**2*(j - 2)**2/9
Factor -5*n**2 + 6920*n - 20715.
-5*(n - 1381)*(n - 3)
Suppose -4*v**4 - 3356*v**3 - 43072*v**2 - 99120*v = 0. What is v?
-826, -10, -3, 0
Factor 4*k**2 - 7232*k + 171264.
4*(k - 1784)*(k - 24)
Factor -2*i**5 - 1330*i**4 - 11808*i**3.
-2*i**3*(i + 9)*(i + 656)
Factor h**2/2 + 2738*h - 16446.
(h - 6)*(h + 5482)/2
Find u, given that 2988*u**4/19 - 1730*u**3 - 2966*u**2/19 + 1730*u - 22/19 = 0.
-1, 1/1494, 1, 11
Solve 2*v**2/13 + 73704*v/13 + 679034952/13 = 0 for v.
-18426
Find r, given that r**2/5 - 4364*r = 0.
0, 21820
Factor 5*f**2 - 2373660*f + 281713089780.
5*(f - 237366)**2
Let 4*l**2 - 848*l + 18700 = 0. What is l?
25, 187
Factor k**3 + 4550*k**2 - 9103*k + 4552.
(k - 1)**2*(k + 4552)
Factor 3*s**2 + 164556*s - 329124.
3*(s - 2)*(s + 54854)
Factor 2*l**3/13 - 972*l**2/13 + 9520*l/13.
2*l*(l - 476)*(l - 10)/13
Factor 3*d**4 + 6453*d**3 + 12897*d**2 + 6447*d.
3*d*(d + 1)**2*(d + 2149)
Factor 78623689*t**2 + 602956*t + 1156.
(8867*t + 34)**2
Factor -2*x**3 + 2516*x**2/11 - 7010*x + 26400.
-2*(x - 55)**2*(11*x - 48)/11
Let -3*y**2 + 36237*y - 108684 = 0. Calculate y.
3, 12076
Factor v**4/7 - 210839*v**3/7 + 2116803480*v**2 - 49588238302400*v - 49590355136000.
(v - 70280)**3*(v + 1)/7
Suppose -155*d**5 + 14560*d**4 - 326575*d**3 - 720490*d**2 - 402240*d - 23040 = 0. What is d?
-1, -2/31, 48
What is o in 5*o**4 + 940*o**3 - 950*o**2 - 940*o + 945 = 0?
-189, -1, 1
Find j, given that -5*j**2 - 305*j - 4550 = 0.
-35, -26
Factor -c**2/2 - 1219*c - 7296.
-(c + 6)*(c + 2432)/2
Factor -87*o**2 - 66342*o - 36576.
-3*(o + 762)*(29*o + 16)
Solve 6*h**5/11 + 390*h**4/11 - 5820*h**3/11 + 20400*h**2/11 - 14976*h/11 = 0.
-78, 0, 1, 4, 8
Find b such that 3*b**4/7 + 14187*b**3/7 + 56496*b**2 + 394884*b = 0.
-4701, -14, 0
Let -29*w**4 - 56229*w**3 - 220669*w**2 - 152859*w + 11610 = 0. Calculate w.
-1935, -3, -1, 2/29
Find w, given that 800*w**4/9 - 754900*w**3/9 + 59314664*w**2/3 + 66842752*w/9 - 1782272/9 = 0.
-2/5, 1/40, 472
Factor 2*b**2/3 + 43834*b/3 + 29220.
2*(b + 2)*(b + 21915)/3
Factor -45*l**3 - 2921*l**2 - 15670*l + 1416.
-(l + 6)*(l + 59)*(45*l - 4)
Determine f so that -4620*f**3 - 10389*f**2 - 2229*f + 138 = 0.
-2, -23/77, 1/20
Factor i**2 - 28026*i - 84087.
(i - 28029)*(i + 3)
Suppose -2*b**4 + 292*b**3/3 + 98*b**2/3 = 0. Calculate b.
-1/3, 0, 49
Let -4*a**5/3 + 236*a**4/3 - 3032*a**3/3 - 3512*a**2/3 + 1012*a + 1092 = 0. Calculate a.
-1, 1, 21, 39
Find y, given that 15*y**3 - 9357*y**2/2 - 14643*y - 2835/2 = 0.
-3, -1/10, 315
Factor -2*w**3/5 + 716*w**2/5 + 94824*w/5 + 2717712/5.
-2*(w - 466)*(w + 54)**2/5
Suppose g**3/4 + 29*g**2/4 - 137*g/4 - 165/4 = 0. Calculate g.
-33, -1, 5
Suppose -5*r**4 - 235*r**3 + 1115*r**2 + 4915*r + 3570 = 0. Calculate r.
-51, -2, -1, 7
Let 3*x**4 - 3114*x**3 + 776343*x**2 + 16473060*x + 83952300 = 0. What is x?
-10, 529
Factor 3*b**3/4 + 33*b**2/4 - 75*b/4 - 825/4.
3*(b - 5)*(b + 5)*(b + 11)/4
Factor -45004800128*g**2/7 + 600032*g/7 - 2/7.
-2*(150008*g - 1)**2/7
Determine r so that -r**3/5 + 76*r**2/5 + 36*r - 1872/5 = 0.
-6, 4, 78
Factor -2*s**2/13 - 113660*s/13.
-2*s*(s + 56830)/13
Find y such that y**5/3 - 125*y**4 + 47609*y**3/3 - 712047*y**2 + 3842766*y - 4962312 = 0.
2, 4, 123
Factor -3*k**3/8 - 63*k**2 + 513*k/8 + 507/4.
-3*(k - 2)*(k + 1)*(k + 169)/8
Factor h**3/6 + 1987193*h**2/6 + 493617499204*h/3 + 493616505608/3.
(h + 1)*(h + 993596)**2/6
Factor -w**4/3 - 19668*w**3 - 386849890*w**2 - 7610497531964*w/3 - 7607016413963.
-(w + 3)*(w + 19667)**3/3
Factor -2*p**4 - 16968*p**3 - 35989128*p**2.
-2*p**2*(p + 4242)**2
Suppose -b**3/7 + 70936*b**2/7 - 1258049957*b/7 + 2515816178/7 = 0. Calculate b.
2, 35467
Factor 4*w**3 - 4476*w**2 - 4528*w + 53760.
4*(w - 1120)*(w - 3)*(w + 4)
Suppose 8*t**5/15 - 22*t**4/5 + 8*t**3/3 + 50*t**2/3 - 96*t/5 + 56/15 = 0. Calculate t.
-2, 1/4, 1, 2, 7
Factor 3*n**2/2 - 2832*n.
3*n*(n - 1888)/2
Solve f**5 - 992*f**4 + 1964*f**3 + 15842*f**2 - 1965*f - 14850 = 0 for f.
-3, -1, 1, 5, 990
Suppose -4*s**5 - 124*s**4 + 264*s**3 - 8*s**2 - 260*s + 132 = 0. Calculate s.
-33, -1, 1
Factor 3*p**2/2 + 729*p/2 - 20445.
3*(p - 47)*(p + 290)/2
Solve 2*t**2/3 + 5906*t/3 - 5908/3 = 0.
-2954, 1
Solve -3*i**2 + 2445*i + 86598 = 0 for i.
-34, 849
Factor -2*x**2/3 + 581174*x/3.
-2*x*(x - 290587)/3
Solve -4*d**5 + 10968*d**4 + 87928*d**3 + 198000*d**2 + 108*d - 297000 = 0 for d.
-3, 1, 2750
Let 15*k**5 - 687*k**4 - 3963*k**3 - 765*k**2 = 0. What is k?
-5, -1/5, 0, 51
Factor -2*q**2/13 + 10402*q/13 - 20796/13.
-2*(q - 5199)*(q - 2)/13
Determine n so that -5*n**2 + 231270*n - 2674290645 = 0.
23127
Factor -3*u**2/7 + 354*u/7 - 3816/7.
-3*(u - 106)*(u - 12)/7
Solve h**3/3 - 87*h**2 - 1057*h/3 - 265 = 0 for h.
-3, -1, 265
Determine k, given that -2*k**5 - 136*k**4 - 180*k**3 + 13000*k**2 - 42250*k = 0.
-65, -13, 0, 5
Find p such that -46875*p**5 - 1594500*p**4 - 8322378*p**3 - 11945352*p**2 - 189531*p - 756 = 0.
-28, -3, -1/125
Factor -c**2/2 - 98*c - 7755/2.
-(c + 55)*(c + 141)/2
Solve 71*d**2 + 194680*d/3 - 1828/3 = 0 for d.
-914, 2/213
Factor -10*c**3 + 9455*c**2 - 61065*c + 28170.
-5*(c - 939)*(c - 6)*(2*c - 1)
Solve -5*t**4 - 56615*t**3 + 113245*t**2 - 56625*t = 0 for t.
-11325, 0, 1
Determine j so that j**3/2 - 11042*j**2 + 121947845*j/2 - 121903681 = 0.
2, 11041
Let -21644*a**2 - 9192*a + 36 = 0. Calculate a.
-3/7, 3/773
Determine j so that j**5/4 + 781*j**4/2 - 42693*j**3/4 + 166795*j**2/2 - 40475*j - 1191750 = 0.
-1589, -3, 10
Factor -f**3/3 + 40*f**2 - 333*f.
-f*(f - 111)*(f - 9)/3
Factor 3*h**3 + 15285*h**2 + 19522656*h + 135910656.
3*(h + 7)*(h + 2544)**2
Factor s**2/6 - 50*s/3 + 33/2.
(s - 99)*(s - 1)/6
What is d in -2*d**4 + 78*d**3 + 1260*d**2 - 70200*d + 486000 = 0?
-30, 9, 30
Factor -245*g**3 - 136745*g**2 + 117345*g - 25155.
-5*(g + 559)*(7*g - 3)**2
What is g in -g**2 + 1474*g + 5912 = 0?
-4, 1478
Find r such that 3*r**3/4 + 4467*r**2/2 - 4470*r = 0.
-2980, 0, 2
Factor 2*i**2/9 + 20116*i/9 + 50581682/9.
2*(i + 5029)**2/9
Factor 2*s**2/17 + 58852*s/17 + 432944738/17.
2*(s + 14713)**2/17
Factor -v**3/4 + 78413*v**2 - 6148441740*v - 24595021584.
-(v - 156828)**2*(v + 4)/4
Let 3*h**2/7 - 141*h/7 - 3762/7 = 0. What is h?
-19, 66
Factor -p**5/4 - 31*p**4 - 5109*p**3/4 - 34983*p**2/2.
-p**2*(p + 39)**2*(p + 46)/4
Factor -t**4 - 114*t**3 - 443*t**2 - 330*t.
-t*(t + 1)*(t + 3)*(t + 110)
Let -6*t**5/5 - 3108*t**4/5 - 6192*t**3/5 + 12*t**2/5 + 6198*t/5 + 309