u**2 - 1032243*u + 1027179.
3*(u - 183)*(u - 1)*(u + 1871)
Factor 5*c**2/3 + 82249570*c/3 + 338249588259245/3.
5*(c + 8224957)**2/3
Let 737555*h**5 + 4425320*h**4 - 8113165*h**3 - 44253190*h**2 + 73756100*h - 1000 = 0. What is h?
-5, 2/147511, 2
Determine v, given that -791*v**4/3 + 10954*v**3/3 - 24424*v**2/3 - 3946*v/3 - 11 = 0.
-1/7, -1/113, 3, 11
Factor 2*s**2/9 - 19885612*s/3 + 59656834/9.
2*(s - 29828417)*(s - 1)/9
Suppose -3*g**5 - 18*g**4 + 1173*g**3 + 1668*g**2 - 95220*g + 92400 = 0. What is g?
-20, -11, 1, 10, 14
Factor a**3/2 + 151*a**2 + 5136*a + 31680.
(a + 8)*(a + 30)*(a + 264)/2
Factor -3*n**2 - 262755*n + 2102232.
-3*(n - 8)*(n + 87593)
Determine u so that -25*u**2/4 + 6942055*u/4 + 1388415 = 0.
-4/5, 277683
Factor o**3/5 + 17597*o**2 - 703929*o/5 + 263979.
(o - 5)*(o - 3)*(o + 87993)/5
Determine m, given that 3*m**4 + 25437*m**3 + 53601765*m**2 + 107127231*m + 53550900 = 0.
-4577, -3900, -1
Determine a so that -a**4/5 + 14734*a**3/5 - 54901824*a**2/5 + 4629529696*a/5 - 12015578624 = 0.
16, 70, 7324
Determine b, given that -1355*b**5 - 62255*b**4 - 50750*b**3 + 303810*b**2 - 199575*b + 10125 = 0.
-45, -3, 15/271, 1
Factor 312*o**2 - 22626243*o/8 + 27195/8.
3*(o - 9065)*(832*o - 1)/8
Let a**2/4 - 81483603*a/2 + 6639577557861609/4 = 0. Calculate a.
81483603
Factor i**2/8 + 6300526*i + 79393255753352.
(i + 25202104)**2/8
Factor d**3 - 2142068*d**2 - 10710365*d.
d*(d - 2142073)*(d + 5)
Let -4*l**3 - 4442612*l**2 + 39983800*l - 35541184 = 0. Calculate l.
-1110662, 1, 8
Factor o**3/7 - 28989*o**2/7 + 2891400*o/7 - 10317500.
(o - 28889)*(o - 50)**2/7
Determine p, given that -12*p**2/5 - 400396*p/5 + 533968 = 0.
-33373, 20/3
Solve 5*z**5 - 12790*z**4 + 89375*z**3 - 229690*z**2 + 255140*z - 102040 = 0 for z.
1, 2, 2551
Suppose -460*i**3 + 605208*i**2 + 200512*i - 631680 = 0. What is i?
-6/5, 20/23, 1316
Factor -v**2/3 + 14500527*v - 43501580/3.
-(v - 43501580)*(v - 1)/3
Factor 180*g**2 + 201*g - 318.
3*(g + 2)*(60*g - 53)
Let 27*v**4 - 30681*v**3 - 2164209*v**2 - 1432575*v - 238194 = 0. Calculate v.
-66, -1/3, 1203
Factor 3*o**2/4 + 512613*o/4 - 512625.
3*(o - 4)*(o + 170875)/4
Factor 305*i**2/6 + 9327515*i/6 + 25485.
5*(i + 30582)*(61*i + 1)/6
Find r such that -3*r**5/2 + 7239*r**4/2 - 4230681*r**3/2 - 164717175*r**2/2 - 567236250*r = 0.
-28, -9, 0, 1225
Suppose -3*b**5 + 10212*b**4 + 133263*b**3 = 0. Calculate b.
-13, 0, 3417
Factor -q**3 - 936*q**2 - 121325*q + 761862.
-(q - 6)*(q + 163)*(q + 779)
Let 286*o**5/15 + 512986*o**4/5 + 24444368*o**3/5 + 175288312*o**2/3 - 8875648*o/5 - 8191488/5 = 0. What is o?
-5333, -24, -2/13, 2/11
Find p such that 2*p**3/9 + 4409428*p**2/9 - 194017736*p/9 + 2134205744/9 = 0.
-2204758, 22
Factor f**2/3 + 8720*f/3 - 228748.
(f - 78)*(f + 8798)/3
Factor -x**2/2 + 4577769*x/2 - 2288884.
-(x - 4577768)*(x - 1)/2
What is o in 4*o**3 - 22856*o**2 + 205436*o - 319480 = 0?
2, 7, 5705
Find l such that 9*l**5/4 - 106275*l**4/2 - 549300*l**3 - 1311285*l**2/2 - 637929*l/4 = 0.
-9, -1, -1/3, 0, 23627
What is r in -2*r**2/5 - 158654*r/5 - 8403044/5 = 0?
-79274, -53
Factor 3*p**2/7 + 7668*p/7 + 650727.
3*(p + 939)*(p + 1617)/7
Determine g, given that -g**2/4 + 10533*g/2 - 4895285/4 = 0.
235, 20831
Suppose -160*r**3 - 131336*r**2 - 98432*r - 16402 = 0. What is r?
-8201/10, -1/2, -1/4
Suppose l**4 + 8770*l**3 + 435999*l**2 - 8770*l - 436000 = 0. Calculate l.
-8720, -50, -1, 1
Factor -2*q**2 + 5461950*q - 27309700.
-2*(q - 2730970)*(q - 5)
Solve -3*i**2 + 1069938*i - 43862415 = 0 for i.
41, 356605
Suppose -2*i**5/13 - 316*i**4/13 + 3124*i**3 + 1723016*i**2/13 - 40610*i/13 - 1722700/13 = 0. What is i?
-230, -35, -1, 1, 107
Let 2*j**4/3 - 2262*j**3 + 5164892*j**2/3 + 341653368*j + 4994828720/3 = 0. Calculate j.
-158, -5, 1778
Factor d**3/7 - 5320535*d**2/7 + 7077015190747*d/7 + 21231093457083/7.
(d - 2660269)**2*(d + 3)/7
Solve -2*p**3 + 264098*p**2 - 8718601248*p + 8718337152 = 0 for p.
1, 66024
Let 29*c**3/3 + 22092*c**2 + 1856659*c/3 - 640988 = 0. Calculate c.
-2257, -852/29, 1
What is i in -2*i**2 - 7926*i - 2035224 = 0?
-3687, -276
Let 3*a**2 - 60488880*a - 60488883 = 0. Calculate a.
-1, 20162961
Let -2*k**4/13 + 96366*k**3/13 + 3471120*k**2/13 + 31245912*k/13 = 0. Calculate k.
-18, 0, 48219
What is m in -16*m**5 - 350*m**4 - 432*m**3 + 18136*m**2 - 14272*m - 99456 = 0?
-14, -111/8, -2, 4
Suppose -2*l**3/7 - 22234*l**2/7 - 155420*l/7 + 1333200/7 = 0. What is l?
-11110, -12, 5
Factor -4*l**3 - 252*l**2 + 1300*l + 50700.
-4*(l - 15)*(l + 13)*(l + 65)
Factor 4*p**3 + 172988*p**2 - 6579476*p - 6752460.
4*(p - 39)*(p + 1)*(p + 43285)
What is a in 28*a**5 - 2696*a**4 + 62228*a**3 - 203368*a**2 - 1132320*a + 338688 = 0?
-3, 2/7, 8, 28, 63
Determine s, given that -20*s**5 + 20422*s**4 - 63108*s**3 - 8182*s**2 + 38672*s + 12216 = 0.
-1/2, -2/5, 1, 3, 1018
Solve -5*m**4 + 8640*m**3 + 453905*m**2 - 462540*m = 0.
-52, 0, 1, 1779
Factor -625*s**3/4 - 397825*s**2/2 - 71307736*s - 4920411240.
-(s + 90)*(25*s + 14788)**2/4
Suppose -g**5/5 - 80*g**4 + 9312*g**3/5 + 11698*g**2/5 - 49727*g/5 + 29118/5 = 0. What is g?
-422, -3, 1, 23
Factor 2*t**2/3 + 636784432*t/3 + 50686801604695328/3.
2*(t + 159196108)**2/3
Find p such that -2*p**4/3 + 5160674*p**3/3 - 5160670*p**2 + 15482006*p/3 - 5160668/3 = 0.
1, 2580334
Suppose -5*g**2 - 12430*g - 5645120 = 0. What is g?
-1888, -598
Factor o**2/3 - 2366*o/3 + 791089/3.
(o - 1963)*(o - 403)/3
Let -2*z**2/11 + 21056*z/11 + 167910 = 0. Calculate z.
-87, 10615
Solve 3*p**3 + 10971036*p**2 + 32913087*p + 21942054 = 0 for p.
-3657009, -2, -1
Factor 2*j**3 + 1775688*j**2 + 394026921288*j - 47308803917760.
2*(j - 120)*(j + 443982)**2
Find p, given that p**3/2 + 2027*p**2 - 130617*p/2 + 275805 = 0.
-4086, 5, 27
Suppose 7*u**3/4 - 729668*u**2 + 14593213*u/4 - 2918637 = 0. What is u?
1, 4, 2918637/7
Let g**3/4 - 195*g**2/2 - 64009*g/4 - 94245/2 = 0. What is g?
-122, -3, 515
Factor l**3/2 - 11831*l**2/2 - 308113*l/2 - 2003833/2.
(l - 11857)*(l + 13)**2/2
Determine h so that 3*h**3/2 + 1927305*h**2/2 - 6745653*h - 7709304 = 0.
-642442, -1, 8
Find f such that -5*f**4 + 533390*f**3 + 163033560*f**2 + 12358258290*f - 12521825235 = 0.
-153, 1, 106983
Let 3*w**3/7 + 62001*w**2/7 + 185814*w = 0. Calculate w.
-20646, -21, 0
Solve -4*r**4 - 1904*r**3 + 872428*r**2 + 410075864*r - 2491446144 = 0.
-473, 6, 464
Factor 5*j**3 + 1236220*j**2 - 3708695*j + 2472470.
5*(j - 2)*(j - 1)*(j + 247247)
Solve 5*l**3 - 76575*l**2 - 1456640*l - 1380060 = 0 for l.
-18, -1, 15334
Factor i**4 + 228330*i**3 + 13032277173*i**2 - 156411986580*i + 469260620676.
(i - 6)**2*(i + 114171)**2
Suppose m**4/7 + 21295201*m**3/7 = 0. What is m?
-21295201, 0
Factor 3*t**2/8 - 146193*t/4 - 16675749/8.
3*(t - 97519)*(t + 57)/8
Suppose -3*d**4/2 - 90255*d**3 - 1082871*d**2/2 + 2436642*d = 0. What is d?
-60164, -9, 0, 3
Suppose 44*z**2 - 6852144*z - 9966848 = 0. What is z?
-16/11, 155732
Let 5*q**2 - 8030480*q + 8030475 = 0. Calculate q.
1, 1606095
Find s, given that -2*s**3 + 333064*s**2 - 333062*s = 0.
0, 1, 166531
Factor q**2/2 + 5257*q/2 + 677960.
(q + 272)*(q + 4985)/2
Factor 2631*x**2/2 + 290722*x - 1547/2.
(x + 221)*(2631*x - 7)/2
Let -20020756495936*c**2 - 447445600*c - 2500 = 0. What is c?
-25/2237228
Factor o**5 - 1015742*o**4 + 2031481*o**3 - 1015740*o**2.
o**2*(o - 1015740)*(o - 1)**2
What is r in -7*r**5 - 1111*r**4 - 27749*r**3 - 113981*r**2 + 553068*r - 410220 = 0?
-129, -159/7, -10, 1, 2
Find g, given that -g**2 + 36115*g - 2810886 = 0.
78, 36037
Factor -2*d**2/11 + 97566*d/11 + 1854476/11.
-2*(d - 48802)*(d + 19)/11
Suppose w**4/7 - 1911*w**3 - 3*w**2/7 + 40133*w/7 - 3822 = 0. What is w?
-2, 1, 13377
Suppose -5*k**4 + 37222440*k**3 - 69275539200110*k**2 + 138550966732920*k - 69275464755245 = 0. Calculate k.
1, 3722243
Let 93479566445*u**3 + 186924949640*u**2 - 68363375*u + 6250 = 0. What is u?
-2, 25/136733
Factor 2*z**2 + 3570*z - 1904900.
2*(z - 430)*(z + 2215)
Let -3*h**5/2 - 918*h**4 - 141393*h**3/2 - 459378*h**2 - 643290*h = 0. What is h?
-523, -82, -5, -2, 0
Let -2*u**3/11 - 494*u**2/11 + 3937100*u/11 + 51261392/11 = 0. Calculate u.
-1526, -13, 1292
Factor -8*v**2 + 12854*v - 38490.
-2*(v - 3)*(4*v - 6415)
Find x, given that 34*x**3/5 + 448162*x**2/5 - 337512*x + 316440 = 0.
-13185, 30/17, 2
Find o, given that -3*o**2 + 88334