5)
Factor 2*f**3 - 464*f**2 + 19240*f + 946400.
2*(f - 130)**2*(f + 28)
Find d, given that 2*d**2/19 + 834*d/19 + 1660/19 = 0.
-415, -2
Factor -5*x**2 + 200*x - 1920.
-5*(x - 24)*(x - 16)
Solve -4*x**2 + 51772*x - 258760 = 0 for x.
5, 12938
Factor c**4/6 - c**3/2 - 83*c**2/2 + 1243*c/6 + 968.
(c - 11)**2*(c + 3)*(c + 16)/6
Find h such that 2*h**5 - 904*h**4 + 20388*h**3 + 66608*h**2 + 68426*h + 23112 = 0.
-1, 27, 428
Factor -5*l**2 - 3580*l - 86375.
-5*(l + 25)*(l + 691)
Factor y**3/7 - 47*y**2 + 2584*y/7 - 5136/7.
(y - 321)*(y - 4)**2/7
Solve 5*r**4 + 110*r**3 - 1115*r**2 + 2500*r - 1500 = 0 for r.
-30, 1, 2, 5
Factor -g**3 + 28510*g**2.
-g**2*(g - 28510)
Determine t so that 4*t**5 - 672*t**4 - 15396*t**3 - 90320*t**2 - 75600*t = 0.
-10, -1, 0, 189
Let -2*v**3 + 72*v**2 - 598*v = 0. Calculate v.
0, 13, 23
What is t in -699*t**3 + 6123*t**2/7 - 1182*t/7 - 48/7 = 0?
-8/233, 2/7, 1
Factor 5*y**3 + 10870*y**2 - 2176100*y + 104353160.
5*(y - 94)**2*(y + 2362)
Determine x, given that -5*x**3 + 175*x**2 + 20120*x - 169600 = 0.
-53, 8, 80
What is i in i**2/9 - 1573*i/9 + 3134/3 = 0?
6, 1567
Factor -2*d**3/7 - 31772*d**2/7 - 18016990*d + 72140600.
-2*(d - 4)*(d + 7945)**2/7
Determine g so that -2*g**5 - 3858*g**4 + 7722*g**3 - 3862*g**2 = 0.
-1931, 0, 1
Factor 2*b**3/25 - 134*b**2/25 - 48*b.
2*b*(b - 75)*(b + 8)/25
Solve 12*c**5/5 + 308*c**4/5 + 488*c**3/5 + 192*c**2/5 = 0 for c.
-24, -1, -2/3, 0
Suppose -4*z**4 + 268*z**3 + 4224*z**2 - 5008*z - 8960 = 0. Calculate z.
-14, -1, 2, 80
What is m in m**4/6 + 31*m**3/3 - 713*m**2/2 + 6644*m/3 + 7744/3 = 0?
-88, -1, 11, 16
Factor 4*b**2 + 2044340*b + 2044336.
4*(b + 1)*(b + 511084)
Find j such that -2*j**5 + 11698*j**4 - 35078*j**3 + 11686*j**2 + 35080*j - 23384 = 0.
-1, 1, 2, 5846
Solve -5*p**5/4 + 395*p**4/4 + 2515*p**3/4 + 3005*p**2/4 - 1255*p/2 - 850 = 0.
-4, -2, -1, 1, 85
Solve f**5/7 + 673*f**4/7 + 2470*f**3 - 97940*f**2/7 + 162664*f/7 - 82688/7 = 0 for f.
-646, -32, 1, 2
Factor 2*w**4/5 + 92*w**3/5 + 738*w**2/5 + 648*w/5.
2*w*(w + 1)*(w + 9)*(w + 36)/5
Factor c**4 + 75*c**3 - 4834*c**2 + 9360*c.
c*(c - 40)*(c - 2)*(c + 117)
Factor 5*t**4 + 780*t**3 + 25350*t**2 + 307580*t + 1285245.
5*(t + 13)**3*(t + 117)
Solve -3*m**3 - 4878*m**2 - 1982907*m = 0 for m.
-813, 0
Find x such that -2*x**3/7 - 824*x**2/7 + 75154*x/7 - 74328/7 = 0.
-489, 1, 76
Suppose -2*r**4/3 - 18*r**3 + 1172*r**2/3 - 1232*r = 0. Calculate r.
-42, 0, 4, 11
Find a such that -a**2 + 191*a - 9064 = 0.
88, 103
Solve 3*y**4/4 + 422073*y**3/4 + 14845679145*y**2/4 + 14845257075*y/4 = 0.
-70345, -1, 0
Factor -4*d**2 + 3615596*d - 3615592.
-4*(d - 903898)*(d - 1)
Factor -4*p**3 - 61400*p**2 + 245664*p.
-4*p*(p - 4)*(p + 15354)
Solve -7*h**5 + 2235*h**4 + 3863*h**3 - 3519*h**2 - 3856*h + 1284 = 0 for h.
-2, -1, 2/7, 1, 321
Factor -v**3 + 9944*v**2 - 119220*v + 357552.
-(v - 9932)*(v - 6)**2
Find a such that 2*a**4/5 - 9506*a**3/5 - 9508*a**2/5 = 0.
-1, 0, 4754
Determine o, given that -2*o**2/11 + 1214*o/11 + 12340/11 = 0.
-10, 617
Solve -w**3/2 - 16555*w**2 - 274068025*w/2 = 0 for w.
-16555, 0
Let -u**2/9 + 7933*u/9 - 3524 = 0. Calculate u.
4, 7929
Determine p so that -289*p**3/4 + 337*p**2/2 - 48*p = 0.
0, 96/289, 2
Suppose 98*w**5 + 3738*w**4 - 24020*w**3 + 53224*w**2 - 50640*w + 17600 = 0. Calculate w.
-44, 1, 10/7, 2
Factor 3*w**2 + 14583*w - 43776.
3*(w - 3)*(w + 4864)
Factor -v**4 - 16*v**3 + 80*v**2.
-v**2*(v - 4)*(v + 20)
Factor -3*a**4/4 - 6135*a**3/2 - 4179978*a**2 - 1894915176*a + 3806574816.
-3*(a - 2)*(a + 1364)**3/4
Solve q**5 - 74*q**4 + 1112*q**3 + 74*q**2 - 1113*q = 0 for q.
-1, 0, 1, 21, 53
Factor -2*d**3 - 272248*d**2 - 544490*d - 272244.
-2*(d + 1)**2*(d + 136122)
Find f such that -2*f**2 - 4762764*f - 2835490114962 = 0.
-1190691
Factor 5*q**2 + 7655*q + 1180590.
5*(q + 174)*(q + 1357)
Solve 5*k**2 - 1890395*k = 0.
0, 378079
Factor 4*m**3/3 - 9368*m**2/3 + 1822060*m + 7338288.
4*(m - 1173)**2*(m + 4)/3
Solve -i**5 + 2813*i**4 - 2248066*i**3 + 379640962*i**2 - 18389451389*i + 18012055681 = 0 for i.
1, 103, 1303
Let -5*w**3 - 345*w**2 + 4700*w + 24000 = 0. Calculate w.
-80, -4, 15
Factor -3*n**2 + 1453986*n - 176172940683.
-3*(n - 242331)**2
Determine v so that -66*v**4 + 13972*v**3 - 106878*v**2/11 + 23640*v/11 - 1688/11 = 0.
2/11, 1/3, 211
Factor 2*n**2/7 - 242*n/7 + 936/7.
2*(n - 117)*(n - 4)/7
Let -5*y**3 + 27790*y**2 + 250475*y + 222680 = 0. Calculate y.
-8, -1, 5567
Let -4*b**5 + 5*b**4 + 28034*b**3 - 900963*b**2 - 691488*b = 0. Calculate b.
-96, -3/4, 0, 49
What is l in 2*l**5 - 102*l**4 + 1612*l**3 - 8024*l**2 + 14256*l - 7744 = 0?
1, 2, 4, 22
Determine b, given that -3*b**5/4 + 135*b**4/2 + 15867*b**3 - 2318646*b**2 + 80143056*b = 0.
-168, 0, 86
Find h such that h**5/3 + 181*h**4/3 - 91*h**3/3 - 16381*h**2/3 + 5430*h = 0.
-181, -10, 0, 1, 9
Factor 2*r**2/15 + 63424*r/5 + 1508476416/5.
2*(r + 47568)**2/15
Factor l**3 - 10577*l**2 + 63435*l - 95139.
(l - 10571)*(l - 3)**2
Solve -15*t**2 + 4269*t + 1710 = 0.
-2/5, 285
Factor -q**2/3 - 2032*q/3 - 677.
-(q + 1)*(q + 2031)/3
Suppose v**3/3 - 109*v**2/3 - 2480*v/3 - 4300 = 0. What is v?
-10, 129
Factor 5*m**3 - 465*m**2 + 3040*m - 2580.
5*(m - 86)*(m - 6)*(m - 1)
Factor 2*w**2/9 - 3992*w/9 - 3998/3.
2*(w - 1999)*(w + 3)/9
Factor b**4/5 - 5346*b**3/5 + 7085881*b**2/5 + 157835304*b/5 + 871666576/5.
(b - 2684)**2*(b + 11)**2/5
Factor -n**3/8 - 706*n**2 - 67619*n/8 + 18317/2.
-(n - 1)*(n + 13)*(n + 5636)/8
Determine y, given that 196*y**4 + 2991380*y**3 + 3418528*y**2 + 976704*y = 0.
-15261, -4/7, 0
Let 6*u**2 + 447*u - 2898 = 0. Calculate u.
-161/2, 6
Factor 3*l**3/2 - 1701*l**2/2 + 257985*l/2 - 4695327/2.
3*(l - 273)**2*(l - 21)/2
Factor 3*v**5 + 48027*v**4 + 144063*v**3 + 144057*v**2 + 48018*v.
3*v*(v + 1)**3*(v + 16006)
What is x in 12*x**4 + 664*x**3 - 5572*x**2 - 37504*x + 27280 = 0?
-62, -5, 2/3, 11
Solve -3*j**2 - 18774*j - 29371923 = 0.
-3129
Solve 21*k**5 - 408*k**4 + 1806*k**3 + 1848*k**2 - 3267*k = 0 for k.
-11/7, 0, 1, 9, 11
Suppose 3*i**5/2 - 351*i**4/4 + 2607*i**3/2 - 630*i**2 = 0. Calculate i.
0, 1/2, 28, 30
Solve 12*h**5 - 81*h**4 + 24*h**3 + 180*h**2 = 0 for h.
-5/4, 0, 2, 6
Factor 3*z**5/4 - 3321*z**4/4 + 6633*z**3/4 - 3315*z**2/4.
3*z**2*(z - 1105)*(z - 1)**2/4
Determine k, given that -2*k**2/17 + 10400*k/17 - 10398/17 = 0.
1, 5199
Let 3*x**4 + 71*x**3 - 99*x**2 + 25*x = 0. Calculate x.
-25, 0, 1/3, 1
Factor -3*s**2 - 467769*s.
-3*s*(s + 155923)
Let 10*p**5 - 1092*p**4 + 28168*p**3 + 92940*p**2 - 145106*p + 25080 = 0. Calculate p.
-4, 1/5, 1, 55, 57
Suppose -27*w**3 + 375*w**2 - 669*w + 321 = 0. Calculate w.
1, 107/9
Factor 2*c**2/3 - 904*c - 445184/3.
2*(c - 1504)*(c + 148)/3
Determine s, given that 4*s**2 + 5012*s = 0.
-1253, 0
What is f in 4*f**2 - 209332*f + 627960 = 0?
3, 52330
Determine t so that -t**3 - 13*t**2 + 2518*t + 25480 = 0.
-52, -10, 49
Factor a**3 - 11352*a**2 + 32216976*a.
a*(a - 5676)**2
Suppose 34*p**5/5 + 1740*p**4 - 63652*p**3/5 - 1336*p**2/5 + 63618*p/5 - 7364/5 = 0. Calculate p.
-263, -1, 2/17, 1, 7
Solve 5*g**3 - 7475*g**2 = 0.
0, 1495
What is q in 3*q**2 - 2668572*q + 593439709932 = 0?
444762
Factor 5*o**2 + 1224140*o + 74925936980.
5*(o + 122414)**2
Find t such that 2*t**5/17 + 56*t**4/17 - 22870*t**3/17 - 1770500*t**2/17 - 40025000*t/17 - 158750000/17 = 0.
-50, -5, 127
Factor 4*h**2/5 - 91324*h/5 + 18264.
4*(h - 22830)*(h - 1)/5
Let -2*q**4/19 + 136*q**3/19 + 74*q**2 - 1540*q/19 = 0. What is q?
-10, 0, 1, 77
Suppose d**4/4 - 215*d**3/4 - 433*d**2/4 - 217*d/4 = 0. What is d?
-1, 0, 217
Factor 4*d**2 - 5616*d - 28180.
4*(d - 1409)*(d + 5)
Solve -9*f**2 - 1406409*f + 468804 = 0 for f.
-156268, 1/3
Factor u**2/4 + 295*u/2 - 8000.
(u - 50)*(u + 640)/4
Factor -2*y**2 + 26906*y + 53820.
-2*(y - 13455)*(y + 2)
Determine s so that -s**5/2 - 125*s**4/2 - 298*s**3 + 250*s**2 + 1200*s = 0.
-120, -5, -2, 0, 2
Factor -5*u**3 + 710*u**2 - 18565*u - 499280.
-5*(u - 79)**2*(u + 16)
Determine k so that k**2/3 - 1886*k/3 = 0.
0, 1886
Factor -2*y**2/11 + 178*y + 1960/11.
-2*(y - 980)*(y + 1)/11
Let 2*f**3/15 - 48*f**2 + 1888*f/5 - 11264/15 = 0. What is f?
4, 352
Factor t**4 - 236*t**3 - 956*t**2 - 960*t.
t*(t - 240)*(t + 2)**2
Solve 5*p**4 + 115300*p**3 + 664589190*p**2 - 1329524300*p + 664819805 = 0 for p.
-11531, 1
Let 4*y**5 + 32680*y**4/3 + 74