3
Determine q so that q**5/3 + 927*q**4 + 390548*q**3/3 + 2276624*q**2/3 + 1502944*q + 2991088/3 = 0.
-2633, -142, -2
Solve 4*x**3 - 24496*x**2 + 949260*x = 0 for x.
0, 39, 6085
Factor 4*j**2 + 1071633272*j + 71774866853589124.
4*(j + 133954159)**2
Find o, given that 3*o**2 - 16049802*o + 21466345353267 = 0.
2674967
Solve -n**5 + 325*n**4 + 16267*n**3 + 143291*n**2 - 584970*n = 0 for n.
-31, -17, 0, 3, 370
Determine d so that -10*d**3 + 6582*d**2/7 + 105624*d/7 = 0.
-489/35, 0, 108
Factor -j**2/3 + 35828*j/3 + 34486508/3.
-(j - 36766)*(j + 938)/3
Solve -2*m**4 - 374*m**3 + 18726*m**2 + 127838*m - 146188 = 0 for m.
-227, -7, 1, 46
Let -4*u**3 + 4792352*u**2 - 1435227935764*u - 111976937557368 = 0. What is u?
-78, 599083
Solve -188*p**5 - 250428*p**4 + 234620*p**3 + 15996*p**2 = 0 for p.
-1333, -3/47, 0, 1
Solve -3*a**3/2 + 41721*a**2 - 573311187*a/2 - 48140261766 = 0.
-164, 13989
Find h, given that 2*h**3 - 12086060*h**2 + 18259057446114*h + 146073233077776 = 0.
-8, 3021519
Suppose -j**4 + 31679*j**3 - 26139960*j**2 + 7275284800*j - 676977728000 = 0. What is j?
280, 30839
Factor 2*m**2/7 - 42940*m/7 + 40784208/7.
2*(m - 20474)*(m - 996)/7
Determine v so that 4*v**4 + 1640*v**3 + 62828*v**2 - 113912*v - 1937760 = 0.
-367, -44, -5, 6
Factor 9067*h**3 - 36249*h**2/2 - 19*h.
h*(h - 2)*(18134*h + 19)/2
Factor 207045*w**3 + 621235*w**2 + 300*w.
5*w*(w + 3)*(41409*w + 20)
Suppose 5*t**2 - 733553860*t + 26905063276044980 = 0. What is t?
73355386
Solve -2*r**3/7 - 198414*r**2 - 2777790*r/7 - 1388894/7 = 0 for r.
-694447, -1
Factor -12*v**2 + 37701579*v - 9425394.
-3*(v - 3141798)*(4*v - 1)
Suppose 2*o**5/7 - 1210*o**4/7 + 188354*o**3/7 - 7258054*o**2/7 - 15086020*o/7 - 1091200 = 0. What is o?
-1, 62, 160, 385
Find u, given that -12742*u**2 - 4663576*u - 1464 = 0.
-366, -2/6371
Let 5*c**2 + 80040*c + 35760400 = 0. Calculate c.
-15548, -460
Find z, given that -4*z**5 + 1608*z**4 - 20392*z**3 + 63984*z**2 - 73204*z + 28008 = 0.
1, 2, 9, 389
Determine n so that -4*n**2 - 20076*n - 539136 = 0.
-4992, -27
Let 5*u**4/3 + 966862*u**3/3 + 1740312*u**2 + 1740294*u - 1740303 = 0. Calculate u.
-193367, -3, 3/5
Let 77*n**3 - 185417*n**2 - 368732*n + 4820 = 0. What is n?
-2, 1/77, 2410
Let -3*i**5 - 1584*i**4 - 159660*i**3 + 13157232*i**2 - 175129920*i - 920851200 = 0. What is i?
-292, -4, 30
Let -3*y**2 - 69756*y + 10248324 = 0. Calculate y.
-23398, 146
Solve 25*a**5 - 83410*a**4 + 902235*a**3 + 40673650*a**2 + 207912500*a - 249405000 = 0 for a.
-10, 1, 30, 16627/5
Solve 3118*r**4 + 2213782*r**3 - 20150214*r**2 + 17921810*r + 11504 = 0.
-719, -1/1559, 1, 8
Solve z**3/9 + 763*z**2/3 - 86240*z + 61590452/9 = 0 for z.
-2597, 154
Let -6*n**5/5 + 376*n**4 - 21032*n**3 + 229044*n**2 + 2135246*n/5 + 176596 = 0. What is n?
-1, -2/3, 17, 53, 245
What is u in 35*u**4 + 118535*u**3 + 14030250*u**2 + 37108080*u - 11750400 = 0?
-3264, -120, -3, 2/7
Find w such that w**2/5 + 623214*w/5 + 623209 = 0.
-623209, -5
Factor -15076156225*b**3/4 - 1794062099635*b**2/4 + 14611414*b - 119.
-(b + 119)*(122785*b - 2)**2/4
What is w in -2*w**4/9 - 724*w**3/9 + 37358*w**2/9 - 72536*w/9 + 11968/3 = 0?
-408, 1, 44
Factor -3*s**2 + 28191501*s/5 + 16914906/5.
-3*(s - 1879434)*(5*s + 3)/5
Factor 2*o**3/9 - 16215380*o**2/9 + 64861496*o/9 - 7206832.
2*(o - 8107686)*(o - 2)**2/9
Factor 4*h**3 - 16696*h**2 + 114876*h + 7500600.
4*(h - 4167)*(h - 25)*(h + 18)
Factor -2*m**2/13 - 307616*m/13 + 33861960/13.
-2*(m - 110)*(m + 153918)/13
Let 4*n**5 - 484*n**4 + 12204*n**3 + 453844*n**2 - 22286080*n + 233707968 = 0. What is n?
-36, 23, 52, 59
Determine j so that -40*j**4 - 9222005*j**3 - 10374710*j**2 - 1152745*j = 0.
-230549, -1, -1/8, 0
Suppose -2*b**2 - 33098576*b - 136939466653472 = 0. Calculate b.
-8274644
Factor c**2 - 90067470*c + 2028037288050225.
(c - 45033735)**2
Factor -2*t**3/17 + 2689452*t**2/17 + 16136766*t/17 + 24205176/17.
-2*(t - 1344732)*(t + 3)**2/17
Solve 2*w**5 - 91222*w**4 - 638618*w**3 - 1550978*w**2 - 1551000*w - 547416 = 0 for w.
-3, -2, -1, 45618
Let -4*x**4 - 122760*x**3 - 1234402896*x**2 - 3840239305912*x + 2280566209831572 = 0. What is x?
-10399, 507
Find p such that -5*p**5 + 62075*p**4 - 194416715*p**3 + 10813118885*p**2 + 210465143440*p + 891885757760 = 0.
-8, 73, 6179
Solve 2*b**4 + 785734*b**3 - 11000676*b**2 - 3142936*b + 44002672 = 0.
-392881, -2, 2, 14
Factor 440*f**2 - 3452*f - 544.
4*(f - 8)*(110*f + 17)
Factor s**4/9 - 140*s**3/3 - 7012*s**2/9 + 1744*s.
s*(s - 436)*(s - 2)*(s + 18)/9
Determine i so that 2*i**4 + 130*i**3 - 28734*i**2 - 1749330*i + 42457932 = 0.
-99, 19, 114
Let -3*k**4/5 + 1880124*k**3/5 - 294621064929*k**2/5 + 3063022462560*k + 15609735257856/5 = 0. What is k?
-1, 53, 313328
What is x in x**2/2 - 374213*x/2 - 34631815 = 0?
-185, 374398
Determine n so that 2*n**2/11 + 56308*n/11 - 1691040/11 = 0.
-28184, 30
Find d, given that 3*d**3 + 3051*d**2 + 364722*d + 717264 = 0.
-879, -136, -2
Determine v so that -2*v**2/3 - 3766118*v + 248564756/3 = 0.
-5649199, 22
Factor 2*k**4/3 - 25096*k**3/3 + 250810*k**2/3 - 626900*k/3.
2*k*(k - 12538)*(k - 5)**2/3
Let -65*h**4/7 + 180781*h**3/7 + 4147488*h**2/7 - 1042996*h/7 - 257968/7 = 0. What is h?
-23, -2/13, 2/5, 2804
Factor 3*n**2 + 2998*n + 56840.
(n + 980)*(3*n + 58)
Find d, given that -144722*d**3 + 12719396*d**2 + 1419870*d + 39600 = 0.
-15/269, 88
Factor x**2 + 15140*x - 6919296.
(x - 444)*(x + 15584)
Factor c**3/4 + 94165*c**2/4 + 588411*c + 3389040.
(c + 9)*(c + 16)*(c + 94140)/4
Suppose -u**5/2 - 209*u**4/2 + 2241*u**3 - 11231*u**2 - 4481*u/2 + 22671/2 = 0. Calculate u.
-229, -1, 1, 9, 11
Factor q**3/3 - 32269*q**2/3 + 258095*q/3 - 225827/3.
(q - 32261)*(q - 7)*(q - 1)/3
Let -1661918773823044*c**2 - 326133104*c - 16 = 0. What is c?
-2/20383319
Factor -2*f**2 - 1266314*f - 1266312.
-2*(f + 1)*(f + 633156)
What is o in o**4/2 + 769*o**3 - 1028580*o**2 + 356585776*o - 39222238528 = 0?
-2486, 316
Factor -2*c**5 - 20906*c**4 - 41806*c**3 - 20902*c**2.
-2*c**2*(c + 1)**2*(c + 10451)
Solve -47524*u**2 - 21617752*u - 2458374724 = 0 for u.
-24791/109
Solve 5*l**2 - 683170*l + 5465040 = 0 for l.
8, 136626
Factor -11*o**2 + 8225*o + 2244.
-(o - 748)*(11*o + 3)
Factor g**3 - 22510*g**2 - 653603*g - 631092.
(g - 22539)*(g + 1)*(g + 28)
Solve 3*i**3 - 33738*i**2 + 6072477*i + 12279930 = 0.
-2, 185, 11063
Determine o so that 4355*o**2/9 + 1171493*o/9 - 538/9 = 0.
-269, 2/4355
Find v, given that -v**5 - 1910*v**4 - 717913*v**3 + 194758380*v**2 + 391662864*v + 196188480 = 0.
-1044, -1, 180
Let 4*i**2 - 74193720*i + 344044255464900 = 0. Calculate i.
9274215
Determine h, given that 6*h**5 + 6998*h**4 - 11820*h**3 - 163640*h**2 - 140016*h + 168192 = 0.
-1168, -3, -2, 2/3, 6
Factor y**3/3 - 175493*y**2/3 + 2566453505*y + 2566512003.
(y - 87747)**2*(y + 1)/3
Suppose 4*x**5/7 + 226*x**4/7 - 15916*x**3/7 + 145226*x**2/7 - 319380*x/7 - 198000/7 = 0. Calculate x.
-100, -1/2, 5, 6, 33
Suppose -2*q**4/5 + 3048*q**3 - 29573206*q**2/5 + 410414952*q - 2022516792/5 = 0. What is q?
1, 71, 3774
Factor -b**4 + 273333*b**3 - 24903096273*b**2 + 756232317962055*b + 4538290478279382.
-(b - 91113)**3*(b + 6)
Factor a**3/6 + 2963*a**2/6 + 5917*a/2 + 8871/2.
(a + 3)**2*(a + 2957)/6
Let 4*z**4 - 126336*z**3 + 1328799648*z**2 - 4640978363648*z - 140428684904640 = 0. Calculate z.
-30, 10538
Factor -4*z**3 - 3627764*z**2 - 822612714316*z - 32076378266556.
-4*(z + 39)*(z + 453451)**2
Suppose 5*g**3 - 992290*g**2 + 992275*g + 1984570 = 0. Calculate g.
-1, 2, 198457
Factor -2*r**2 + 172734960*r - 3729670800775200.
-2*(r - 43183740)**2
Suppose -16*x**4 - 914754*x**3 + 800438*x**2 + 914754*x - 800422 = 0. What is x?
-57173, -1, 7/8, 1
Let -3*c**5/5 + 46593*c**4/5 + 93222*c**3/5 - 372738*c**2/5 - 167751*c - 419391/5 = 0. Calculate c.
-3, -1, 3, 15533
Suppose -26*v**4/5 + 4904*v**3/5 - 90358*v**2/5 - 2079712*v - 797160 = 0. What is v?
-35, -5/13, 78, 146
Find k such that 2*k**3 + 71600*k**2 + 27833014*k + 110186584 = 0.
-35407, -389, -4
Factor -465784*p**2/3 + 2328922*p/3 - 10/3.
-2*(p - 5)*(232892*p - 1)/3
What is j in -j**5/3 - 10391*j**4/3 - 124592*j**3/3 - 456724*j**2/3 - 166064*j = 0?
-10379, -6, -4, -2, 0
Suppose 3*v**4 - 693*v**3 + 8733*v**2 + 342837*v - 350880 = 0. Calculate v.
-17, 1, 32, 215
Let 2*z**2/21 + 9248*z/21 - 31121350/7 = 0. What is z?