b**4 - 65604*b**3 + 32575764*b**2 - 5466689644*b + 306869208984.
4*(b - 15894)*(b - 169)**3
Determine u, given that u**3/4 - 481*u**2/4 + 52155*u/4 - 152163/4 = 0.
3, 159, 319
Factor -4*b**3/3 + 4012*b**2 - 428904*b.
-4*b*(b - 2898)*(b - 111)/3
Determine m so that m**4/11 - 4834966*m**3/11 + 9669929*m**2/11 - 4834964*m/11 = 0.
0, 1, 4834964
Let r**4/5 - 186094*r**3/5 - r**2/5 + 186094*r/5 = 0. What is r?
-1, 0, 1, 186094
Find o, given that 226*o**2/9 + 3914*o/9 - 25520/3 = 0.
-29, 1320/113
Find z such that -5*z**2/3 + 33775*z + 304110 = 0.
-9, 20274
Suppose -5*w**3 + 69031135*w**2 - 238264914484975*w + 238264845453845 = 0. Calculate w.
1, 6903113
Factor -3*r**2 + 6141*r + 8482320.
-3*(r - 2992)*(r + 945)
Factor 2*s**2/5 - 4300328*s/5 - 17201344/5.
2*(s - 2150168)*(s + 4)/5
Find c, given that -5*c**2 - 5134750*c + 10269520 = 0.
-1026952, 2
Find h such that 3*h**3 - 829272*h**2 + 9121713*h - 23218692 = 0.
4, 7, 276413
Factor 8*q**2 + 63050*q + 3023538.
2*(q + 7833)*(4*q + 193)
Factor 2*i**2/7 + 811410*i/7.
2*i*(i + 405705)/7
Let 780*n**2 + 605975*n/3 - 22015/3 = 0. Calculate n.
-259, 17/468
What is s in -s**5/4 - 513827*s**4/4 - 256905*s**3/2 + 2055308*s**2 + 2055304*s = 0?
-513826, -4, -1, 0, 4
Factor -18*x**2 - 218343*x - 26833410.
-3*(x + 12006)*(6*x + 745)
Suppose -2*a**2/9 + 23246960*a - 607973792896800 = 0. What is a?
52305660
Solve q**5/6 + 875*q**4/6 + 99667*q**3/3 + 1691528*q**2/3 - 3459952*q + 4396416 = 0.
-428, -24, 2, 3
Let w**2/4 - 5975*w/2 - 180150 = 0. What is w?
-60, 12010
Find p, given that 2594642*p**5 - 7806706*p**4 + 68390*p**3 + 10378418*p**2 - 91120*p + 200 = 0.
-1, 5/1139, 2
Factor 5*q**3/2 - 4575855*q**2/2 + 18303300*q - 36606520.
5*(q - 915163)*(q - 4)**2/2
Suppose 390096*s**3 - 819705*s**2/2 + 39663*s/2 - 75 = 0. Calculate s.
25/6048, 2/43, 1
Find r, given that -4*r**4 + 2032*r**3 - 39324*r**2 - 1677312*r + 1714608 = 0.
-21, 1, 42, 486
Factor s**4/3 + 253618*s**3.
s**3*(s + 760854)/3
Let -4*n**3/5 - 1336*n**2/5 - 21460*n + 114080 = 0. Calculate n.
-184, -155, 5
Solve -6*h**3/7 + 188352*h**2/7 + 63411570*h/7 + 5308838484/7 = 0 for h.
-167, 31726
Let -4*m**2/9 + 1191046168*m/9 - 88661935894217764/9 = 0. Calculate m.
148880771
Suppose -3*c**2 + 47595*c - 70024752 = 0. What is c?
1641, 14224
Find t, given that -t**5 + 2091*t**4 + 127036*t**3 - 399904*t**2 + 8352*t + 533200 = 0.
-62, -1, 2, 2150
Let i**5/3 - 391*i**4/3 + 5644*i**3 - 157820*i**2/3 - 927472*i/3 = 0. Calculate i.
-4, 0, 26, 343
Find i, given that -2*i**3/7 - 2410*i**2/7 + 421592*i/7 - 16586240/7 = 0.
-1364, 64, 95
Factor a**3/3 - 5632*a**2 + 750199*a - 75244618/3.
(a - 16762)*(a - 67)**2/3
Factor 5*b**3 - 837025*b**2 - 5022330*b.
5*b*(b - 167411)*(b + 6)
Find g such that -g**3/4 + 3851*g**2/4 + 128004*g + 1396980 = 0.
-117, -12, 3980
Solve 3*t**2/7 + 207936*t - 18922683/7 = 0 for t.
-485197, 13
Suppose 2*k**5 - 215786*k**4 + 1941818*k**3 + 10140970*k**2 + 13593332*k + 5609968 = 0. Calculate k.
-2, -1, 13, 107884
Suppose -5*w**5 + 125*w**4 + 35885*w**3 - 1603565*w**2 + 4338840*w + 5978160 = 0. Calculate w.
-92, -1, 4, 57
Find l, given that l**3 - 8213616*l**2 - 114990771*l - 402467870 = 0.
-7, 8213630
Suppose -3*a**2 + 859110*a + 71326797 = 0. Calculate a.
-83, 286453
Factor -85*u**2 + 213280*u - 1526220.
-5*(u - 2502)*(17*u - 122)
Factor -2*d**2/11 + 142518196*d/11 - 2538929523886802/11.
-2*(d - 35629549)**2/11
Suppose 3*r**3/4 + 37866*r**2 + 3784797*r/4 + 908334 = 0. What is r?
-50463, -24, -1
Suppose -r**4/2 + 45395779*r**3/2 - 136187325*r**2 + 272374642*r - 181583092 = 0. Calculate r.
2, 45395773
Suppose -8*c**4 - 662*c**3 - 3570*c**2 - 2146*c + 770 = 0. What is c?
-77, -5, -1, 1/4
Determine c, given that -599076*c**5 - 68887548*c**4 + 142693076*c**3 + 208806332*c**2 - 2169600*c + 5616 = 0.
-117, -1, 2/387, 3
Suppose 2*p**4 + 1044*p**3 - 131256*p**2 + 573804*p + 197019702 = 0. Calculate p.
-627, -33, 69
Find d such that 2*d**5/7 - 548*d**4/7 + 5312*d**3/7 - 8448*d**2/7 = 0.
0, 2, 8, 264
Determine j so that -144120*j**2 - 77059*j/4 - 13/2 = 0.
-2/15, -13/38432
Factor 5*d**3 + 112200*d**2 + 336505*d - 1121850.
5*(d - 2)*(d + 5)*(d + 22437)
Let -t**4/4 - 140884*t**3 - 19848301455*t**2 + 563536*t + 79393205824 = 0. What is t?
-281768, -2, 2
Solve -3*u**5 - 5784*u**4 - 2777238*u**3 - 5537136*u**2 - 2765679*u = 0.
-1037, -889, -1, 0
Factor q**2/2 + 6269*q - 46484283/2.
(q - 2993)*(q + 15531)/2
Let -q**3 + 3297*q**2 + 1761106*q - 12488952 = 0. Calculate q.
-474, 7, 3764
Factor o**2/6 - 892*o - 718273/6.
(o - 5483)*(o + 131)/6
Solve -35*h**5 - 146625*h**4 - 204338185*h**3 - 94600815815*h**2 + 162891122280*h + 54258071300 = 0.
-1453, -1285, -2/7, 2
Solve -364109662225*c**2/7 + 1206830*c/7 - 1/7 = 0 for c.
1/603415
Suppose s**3/2 - 350*s**2 + 13888*s + 1147520 = 0. What is s?
-40, 88, 652
Solve 3*y**3 - 23052*y**2 - 3790113*y + 7672410 = 0 for y.
-163, 2, 7845
Let 3*r**3/7 + 1122*r**2/7 - 4700124*r/7 - 2963796264/7 = 0. Calculate r.
-858, 1342
Find l such that l**3 - 2874*l**2 + 423851*l + 426726 = 0.
-1, 157, 2718
Determine v, given that -v**3 + 299455*v**2 + 1497300*v = 0.
-5, 0, 299460
Find d, given that 3*d**3/5 - 47460033*d**2/5 + 187704489840021*d/5 + 563113896660441/5 = 0.
-3, 7910007
Factor -2*k**2/11 - 21016*k/11 - 630354.
-2*(k + 341)*(k + 10167)/11
Factor -2*z**2/9 - 1479644*z/9 + 1479650/3.
-2*(z - 3)*(z + 739825)/9
Suppose -2*y**3 - 65348*y**2 + 326818*y + 915012 = 0. Calculate y.
-32679, -2, 7
Let -2*h**2 + 921082*h - 15657816 = 0. Calculate h.
17, 460524
Solve -3*g**3/7 + 17499*g**2/7 + 368742*g/7 + 351240/7 = 0 for g.
-20, -1, 5854
Let 125*s**5/4 - 371175*s**4/4 - 13325445*s**3/4 - 140520865*s**2/4 - 96254280*s - 77889600 = 0. Calculate s.
-16, -9/5, 3005
Find j such that -2*j**5 - 1474*j**4/7 - 6458*j**3/7 + 99058*j**2/7 + 68840*j - 56000 = 0.
-100, -7, 5/7, 8
Let 13*x**3/4 + 652531*x**2/2 - 2108203*x/4 + 200782 = 0. Calculate x.
-100391, 8/13, 1
Determine d so that 43020*d**2 + 54377276*d - 5056 = 0.
-1264, 1/10755
Factor 2*f**2 - 15500616*f + 30033637047432.
2*(f - 3875154)**2
Find i, given that i**3/3 - 724*i**2/3 + 24836*i/3 - 46784/3 = 0.
2, 34, 688
Factor -1058*x**2/11 - 9442420*x/11 - 21067886450/11.
-2*(23*x + 102635)**2/11
Factor -3*c**2/7 + 7357068*c - 31573762241364.
-3*(c - 8583246)**2/7
Factor z**2/4 + 2435*z - 48725/4.
(z - 5)*(z + 9745)/4
Solve -202*z**2/7 + 6126*z/7 - 1880 = 0.
235/101, 28
Suppose -1655*f**3/2 + 39725*f**2/3 - 74635*f/6 + 25 = 0. Calculate f.
2/993, 1, 15
Find j, given that -5*j**5 + 2146350*j**4 + 19317555*j**3 = 0.
-9, 0, 429279
Factor -5*r**2/4 - 84956955*r/2 - 1443536840574405/4.
-5*(r + 16991391)**2/4
Factor -2*o**2/7 + 1684*o/7 + 575766/7.
-2*(o - 1103)*(o + 261)/7
Factor -302*q**3/7 + 3142*q**2/7 - 5378*q/7 + 2538/7.
-2*(q - 1)**2*(151*q - 1269)/7
Factor r**3/4 + 7535*r**2/2 + 4580875*r + 1454456250.
(r + 650)**2*(r + 13770)/4
Solve -8*w**5 - 7011892*w**4 - 1536564095256*w**3 - 46858787490816*w**2 - 23045253598080*w = 0 for w.
-438228, -30, -1/2, 0
Determine i so that -66*i**4 - 11296*i**3 + 13065282*i**2 - 11078904*i + 1582504 = 0.
-539, 2/11, 2/3, 367
Suppose m**5/3 + 1334*m**4 - 761454*m**3 + 303462436*m**2/3 + 204597987*m + 102681054 = 0. What is m?
-4522, -1, 261
Solve 282*w**5/11 - 231514*w**4/11 + 4984550*w**3/11 - 2465626*w**2 - 70312*w = 0.
-4/141, 0, 11, 799
Determine b, given that 6*b**5/5 + 1899*b**4/5 + 124011*b**3/5 + 1274721*b**2/5 + 109107*b - 607068/5 = 0.
-231, -73, -12, -1, 1/2
Determine m, given that 5*m**5 + 135430*m**4 + 135290*m**3 - 3656340*m**2 + 3656745*m + 7312950 = 0.
-27085, -6, -1, 3
Solve -3*s**5 - 5223*s**4 + 728640*s**3 - 24476364*s**2 = 0.
-1873, 0, 66
Factor -2*d**3 - 18244*d**2 + 1750858*d - 3428724.
-2*(d - 93)*(d - 2)*(d + 9217)
Determine c so that -2*c**4 - 2600*c**3 - 153510*c**2 + 2600*c + 153512 = 0.
-1238, -62, -1, 1
What is b in -323*b**4/3 + 2469*b**3/2 - 25921*b**2/6 + 8895*b/2 - 7525/6 = 0?
301/646, 1, 5
Factor w**3/5 - 2870743*w**2/5 + 2870738*w.
w*(w - 2870738)*(w - 5)/5
Suppose -196545*g**2 - 393130*g - 80 = 0. What is g?
-2, -8/39309
Solve -4*r**3 + 11017628*r**2 + 66105876*r + 99158868 = 0.
-3, 2754413
What is s in -8*s**5 + 11524*s**4 + 109972*s**3 + 330344*s**2 + 371120*s + 116000 = 0?
-5, -2, -1/2, 1450
Determine y so that 25*y**3/3 - 740495*y**2 + 1644