2/3
Factor -r**3/7 + 890*r**2 - 56003*r/7 + 12442.
-(r - 6221)*(r - 7)*(r - 2)/7
Factor 5*y**2 - 311550*y - 934695.
5*(y - 62313)*(y + 3)
Factor -5*m**3 - 3035*m**2 - 80595*m + 269235.
-5*(m - 3)*(m + 31)*(m + 579)
Determine g so that 4*g**5/5 - 12*g**4/5 - 236*g**3/5 - 84*g**2 - 40*g = 0.
-5, -1, 0, 10
Determine u, given that 3*u**4/4 + 465*u**3/4 + 330*u**2 - 1815*u + 1368 = 0.
-152, -6, 1, 2
Solve 2*s**2/19 + 298*s/19 + 9996/19 = 0.
-98, -51
Factor 2*i**2 + 617684*i + 47691690482.
2*(i + 154421)**2
Factor 2*c**2 + 4370*c + 340848.
2*(c + 81)*(c + 2104)
Factor -5*m**2 - 114250*m - 652653125.
-5*(m + 11425)**2
Factor -p**2 - 436*p + 3101.
-(p - 7)*(p + 443)
Let 3*q**4 - 723*q**3 - 18540*q**2 - 141900*q - 318000 = 0. Calculate q.
-10, -4, 265
What is n in -2*n**3 - 16590*n**2 + 132888*n + 332120 = 0?
-8303, -2, 10
Suppose m**2/5 + 66552*m - 332761/5 = 0. Calculate m.
-332761, 1
What is n in -4*n**3 - 456*n**2 + 6460*n - 18288 = 0?
-127, 4, 9
Factor -5*o**4 - 70*o**3 + 1175*o**2 - 4760*o + 6000.
-5*(o - 4)**2*(o - 3)*(o + 25)
Factor -l**3/6 + 2776*l**2 - 11575902*l + 138511368.
-(l - 8322)**2*(l - 12)/6
Find d, given that 3*d**3 - 2553*d**2 + 710277*d - 64162335 = 0.
205, 323
Factor 2*v**5/5 - 284*v**4 + 261794*v**3/5 - 691824*v**2 + 11868192*v/5.
2*v*(v - 348)**2*(v - 7)**2/5
Factor 309580*r**3 - 619172*r**2 + 24*r.
4*r*(r - 2)*(77395*r - 3)
Solve -3*t**2 + 1593*t + 24570 = 0 for t.
-15, 546
Factor -4*i**4 - 756*i**3 - 37536*i**2 - 169280*i.
-4*i*(i + 5)*(i + 92)**2
What is o in 4*o**2/7 + 352*o/7 - 1472/7 = 0?
-92, 4
Find u, given that -u**2 - 8942*u - 19989841 = 0.
-4471
What is g in g**5/4 - 20*g**4 + 1599*g**3/4 + 20*g**2 - 400*g = 0?
-1, 0, 1, 40
Solve -7*l**3 + 18531*l**2 - 23816*l + 5292 = 0.
2/7, 1, 2646
Find g, given that -4*g**4 + 436*g**3 + 9300*g**2 - 19892*g + 10160 = 0.
-20, 1, 127
Solve 5*u**5 - 205*u**4 - 685*u**3 + 1085*u**2 + 680*u - 880 = 0 for u.
-4, -1, 1, 44
Find x such that -5*x**4 - 2030*x**3 - 6055*x**2 - 4030*x = 0.
-403, -2, -1, 0
Let -87*j**3/5 - 4304*j**2/5 + 2308*j/5 + 80 = 0. What is j?
-50, -4/29, 2/3
Find v such that -30*v**2 - 223*v/8 + 17/4 = 0.
-17/16, 2/15
Factor -2*n**2/7 + 240*n/7 - 6912/7.
-2*(n - 72)*(n - 48)/7
Factor p**5 - 83*p**4 + 837*p**3 - 3321*p**2 + 5886*p - 3888.
(p - 72)*(p - 3)**3*(p - 2)
Find y, given that 2*y**2 - 250*y - 30000 = 0.
-75, 200
Suppose -9*u**5/4 + 6663*u**4 - 81750*u**3 - 499701*u**2/2 - 911151*u/4 - 132705/2 = 0. What is u?
-1, -2/3, 15, 2949
Factor -j**3/2 - 9608*j**2 - 268877*j/2 - 470449.
-(j + 7)**2*(j + 19202)/2
Factor 9*i**2/4 - 7089*i/4 + 2361/2.
3*(i - 787)*(3*i - 2)/4
Factor -3*c**2/5 - 112884*c/5 - 1061899788/5.
-3*(c + 18814)**2/5
Factor -2*k**5 + 54*k**4 - 360*k**3.
-2*k**3*(k - 15)*(k - 12)
Suppose 4*a**2 - 62700*a - 376344 = 0. What is a?
-6, 15681
Factor -2*r**3/7 + 28*r**2 + 8*r/7 - 112.
-2*(r - 98)*(r - 2)*(r + 2)/7
Factor -2*c**4/3 + 1262*c**3/3 + 1264*c**2/3.
-2*c**2*(c - 632)*(c + 1)/3
Factor -3*m**3/4 - 23530*m**2 - 738183159*m/4 + 246081969/2.
-(m + 15687)**2*(3*m - 2)/4
Solve -2*y**2 - 2270*y - 35808 = 0 for y.
-1119, -16
Find n, given that n**5/2 - 12*n**4 - 650*n**3 + 25137*n**2 - 474957*n/2 + 213003 = 0.
-42, 1, 21, 23
Determine j, given that j**3/6 + 17608*j**2/3 - j/6 - 17608/3 = 0.
-35216, -1, 1
Let 3*i**2 + 2871*i + 47940 = 0. What is i?
-940, -17
Find w such that 3*w**5 + 165024*w**4/5 + 454673268*w**3/5 + 4351644768*w**2/5 + 5436027648*w/5 - 2899777536/5 = 0.
-5496, -8, -2, 2/5
Let a**2 - 142460*a + 5073712900 = 0. Calculate a.
71230
Factor x**3/6 + 2047*x**2/3 + 36779*x/6 + 28595/3.
(x + 2)*(x + 7)*(x + 4085)/6
Find l such that 2*l**2/3 + 1880336*l/3 + 441957934112/3 = 0.
-470084
What is y in 4*y**2 - 174516*y - 174520 = 0?
-1, 43630
Solve 5*g**3 - 4770*g**2 + 1128045*g + 4588820 = 0 for g.
-4, 479
Find a such that -10*a**5/3 + 544*a**4/3 - 62*a**3 - 1652*a**2/3 + 1736*a/3 - 144 = 0.
-2, 2/5, 1, 54
Solve 2*x**4 + 200*x**3 - 1946*x**2 + 1744*x = 0 for x.
-109, 0, 1, 8
Solve 3*b**5 + 2213*b**4 + 10243*b**3 - 14053*b**2 - 92430*b - 52776 = 0 for b.
-733, -4, -3, -2/3, 3
Factor -o**2/5 - 3814*o/5 + 88251/5.
-(o - 23)*(o + 3837)/5
Factor y**2/3 - 262*y + 154445/3.
(y - 395)*(y - 391)/3
Find p such that 2*p**5 + 5152*p**4 + 3317886*p**3 - 5152*p**2 - 3317888*p = 0.
-1288, -1, 0, 1
Solve 4*u**3 + 840*u**2 + 7236*u = 0.
-201, -9, 0
Find z such that -5*z**2 + 28060*z - 56100 = 0.
2, 5610
Suppose 5*t**3 + 10235*t**2 + 5191400*t - 47555280 = 0. What is t?
-1028, 9
Factor -q**3/5 + 49*q**2/5 + 914*q/5 - 2016/5.
-(q - 63)*(q - 2)*(q + 16)/5
Let -4*l**2 - 224*l + 3264 = 0. What is l?
-68, 12
Factor 5*b**3 - 2280*b**2 - 20855*b - 32550.
5*(b - 465)*(b + 2)*(b + 7)
Factor 5*j**3/2 - 990*j**2 + 24555*j/2 + 65110.
5*(j - 383)*(j - 17)*(j + 4)/2
Find n, given that n**4/5 - 42*n**3 - 4317*n**2/5 - 7786*n/5 = 0.
-17, -2, 0, 229
Solve x**4/5 - 20519*x**3/10 - 272397*x**2/5 - 748787*x/2 - 869167/5 = 0.
-13, -1/2, 10286
Determine w so that -3*w**4/2 + 126*w**3 - 3966*w**2 + 55440*w - 290400 = 0.
20, 22
Factor -9*n**2 + 662862*n.
-3*n*(3*n - 220954)
Find o such that 2*o**5/5 - 1528*o**4/15 + 1406*o**3 + 480*o**2 = 0.
-1/3, 0, 15, 240
Factor l**3 - 161*l**2 + 6086*l - 11536.
(l - 103)*(l - 56)*(l - 2)
What is h in -3*h**5/2 + 2703*h**4 + 27105*h**3/2 = 0?
-5, 0, 1807
Factor -x**2/3 - 82106*x/3 - 1685348809/3.
-(x + 41053)**2/3
Let -3*n**4/8 - 141*n**3/2 + 573*n**2/2 - 288*n = 0. Calculate n.
-192, 0, 2
Solve -5*m**2 + 628500*m - 19750612500 = 0.
62850
Factor -2*f**2/7 - 14992*f/7 - 14990/7.
-2*(f + 1)*(f + 7495)/7
Let 6*g**4/5 + 8256*g**3/5 + 3215796*g**2/5 + 258503616*g/5 + 5882272326/5 = 0. What is g?
-639, -49
Find l such that l**3 + 21464*l**2 - 85872*l = 0.
-21468, 0, 4
Factor -3*l**2 + 64452*l - 346171692.
-3*(l - 10742)**2
Let 4*y**5 + 1080*y**4 - 19528*y**3 - 3232*y**2 + 60708*y - 39032 = 0. What is y?
-287, -2, 1, 17
Suppose j**4/6 - 2543*j**3/3 - 12724*j**2/3 - 5939*j - 5091/2 = 0. Calculate j.
-3, -1, 5091
Find d, given that 5*d**4 - 45*d**3 - 1050*d**2 + 2080*d + 40320 = 0.
-8, 7, 18
Solve 5*c**4/8 + 317*c**3/8 - 787*c**2/4 - 85*c = 0.
-68, -2/5, 0, 5
Factor -o**3/11 - 13041*o**2/11 - 42523440*o/11 - 42510400/11.
-(o + 1)*(o + 6520)**2/11
Factor 3*z**3 - 14088*z**2 + 84447*z - 126630.
3*(z - 4690)*(z - 3)**2
Let 2*k**2/5 - 23630*k + 945072/5 = 0. What is k?
8, 59067
Suppose -p**5/7 + 17*p**4/7 + 45*p**3/7 - 113*p**2/7 - 368*p/7 - 228/7 = 0. What is p?
-2, -1, 3, 19
Solve 567*h**5/4 - 9981123*h**4/8 + 7320647607*h**3/2 - 3579054214986*h**2 - 1089185155434*h - 18942687378 = 0 for h.
-2/7, -1/54, 2934
Suppose -2*n**2/3 - 317440*n/3 - 317434 = 0. Calculate n.
-158717, -3
Factor -5*z**2 + 4155*z + 46310.
-5*(z - 842)*(z + 11)
Find k such that -4*k**5 - 88*k**4 - 244*k**3 + 2768*k**2 + 7808*k - 10240 = 0.
-16, -8, -4, 1, 5
Solve -2*z**2 - 41320*z - 213417800 = 0 for z.
-10330
Find y such that 6*y**3 - 12729*y**2 + 82464*y + 44415 = 0.
-1/2, 7, 2115
Find p, given that 2*p**4/13 + 2020*p**3/13 + 304738*p**2/13 + 12683624*p/13 + 12380904/13 = 0.
-837, -86, -1
Factor 3*x**2/7 + 249*x + 6924/7.
3*(x + 4)*(x + 577)/7
Suppose 436*y**4 - 14036*y**3 - 11700*y**2 + 2772*y = 0. What is y?
-1, 0, 21/109, 33
Find n, given that 5*n**5 + 190*n**4 + 2165*n**3 + 7840*n**2 + 11060*n + 5200 = 0.
-20, -13, -2, -1
What is o in 2*o**4/7 + 1354*o**3/7 - 24*o**2/7 - 16280*o/7 - 21664/7 = 0?
-677, -2, 4
Factor -4*i**5 + 120*i**4 - 864*i**3 - 5832*i**2 + 96228*i - 314928.
-4*(i - 12)*(i - 9)**3*(i + 9)
Factor -320*x**3 - 26640*x**2 - 554445*x.
-5*x*(8*x + 333)**2
Find l such that 88*l**4 + 5718*l**3 + 100806*l**2 + 251410*l - 5766 = 0.
-31, -3, 1/44
Solve 22700*h**2 - 317792*h - 112 = 0 for h.
-2/5675, 14
Determine n so that 2*n**5 + 722*n**4 + 2144*n**3 - 1456*n**2 - 8608*n - 5728 = 0.
-358, -2, -1, 2
What is q in -6927424*q**2 - 71064*q - 729/4 = 0?
-27/5264
Suppose -2*v**3 - 66*v**2 - 4*v + 1920 = 0. What is v?
-32, -6, 5
Factor -324*c**3 - 760284*c**2 + 337952*c - 37552.
-4*(c + 2347)*(9*c - 2)**2
What is n in -3*n**5 - 192*n**4 + 7818*n**3 + 8196*n**2 - 7815*n - 8004 = 0?
-92, -1, 1, 29
Factor r**2/8 - 21*r + 3087/8.
(r - 147)*(r - 21)/8
What is z in 3*z**4 + 252*z**3 - 555*z**2 - 3384*z - 2580 = 0?
-86, -2, -1, 5
Factor y**5 - 529*y**4 - 2662*y**3 - 4268*y**2 - 2136*y.
y*(y - 5