et g**5/6 + 764*g**4/3 - 1529*g**3/6 = 0. Calculate g.
-1529, 0, 1
Solve 3*o**5 - 1548*o**4 + 204210*o**3 - 1147524*o**2 - 2913885*o - 1560600 = 0 for o.
-1, 8, 255
Factor 5*k**3 - 1345*k**2 - 1360*k + 2700.
5*(k - 270)*(k - 1)*(k + 2)
Factor 32*k**3 - 7212*k**2.
4*k**2*(8*k - 1803)
Factor 3*l**2/7 - 204*l/7 + 2145/7.
3*(l - 55)*(l - 13)/7
Let 3*k**2 + 8817*k + 218550 = 0. What is k?
-2914, -25
Determine k so that 1476*k**4 + 8848*k**3 + 4380*k**2 - 14784*k + 80 = 0.
-5, -2, 2/369, 1
Find o such that -4*o**3 - 23752*o**2 - 142368*o = 0.
-5932, -6, 0
Solve -2*l**3 - 7624*l**2 - 7212010*l + 102467932 = 0.
-1913, 14
Factor 2*s**2 - 13002*s - 13004.
2*(s - 6502)*(s + 1)
Factor 4*z**4 - 1304*z**3 + 6448*z**2 - 9000*z + 3852.
4*(z - 321)*(z - 3)*(z - 1)**2
Suppose -7*a**3/6 + 162053*a**2/6 - 937933825*a/6 + 133980625/2 = 0. Calculate a.
3/7, 11575
Factor 273529*h**2/11 + 87864*h/11 + 7056/11.
(523*h + 84)**2/11
Factor 6*j**4/7 - 2226*j**3 - 15624*j**2.
6*j**2*(j - 2604)*(j + 7)/7
Suppose -10*p**5 - 276*p**4 - 2458*p**3 - 6672*p**2 + 3080*p = 0. What is p?
-11, -10, -7, 0, 2/5
Suppose 1420*w**4 + 204488*w**3 - 207588*w**2 - 412976*w - 2320 = 0. What is w?
-145, -1, -2/355, 2
Determine m so that 5*m**5 - 585*m**4 + 16850*m**3 - 169440*m**2 + 427520*m + 614400 = 0.
-1, 6, 16, 80
Determine h so that 2*h**5 - 3300*h**4 + 1344618*h**3 + 13748120*h**2 + 12400200*h = 0.
-9, -1, 0, 830
Factor -f**3/2 - 14759*f**2/2 + 7380*f.
-f*(f - 1)*(f + 14760)/2
Factor 2*w**2/9 + 5786*w/3.
2*w*(w + 8679)/9
Find l such that -2*l**4/11 + 354*l**3/11 - 180*l**2 - 1112*l - 13680/11 = 0.
-2, 10, 171
Find c, given that -3*c**2/7 + 1291908*c/7 - 139085523372/7 = 0.
215318
Solve -7*t**4 - 499*t**3 - 8759*t**2 - 10589*t - 2322 = 0 for t.
-43, -27, -1, -2/7
Factor u**3/3 + 26*u**2 - 440*u - 2944/3.
(u - 16)*(u + 2)*(u + 92)/3
Factor -121*i**4/6 + 17567*i**3/3 - 6382*i**2/3 + 580*i/3.
-i*(i - 290)*(11*i - 2)**2/6
Solve -2*n**5/9 + 38*n**4/3 - 326*n**3/9 + 34*n**2/3 + 328*n/9 - 24 = 0 for n.
-1, 1, 2, 54
Let l**5/4 + 27*l**4/2 + 125*l**3/4 - 5270*l**2 - 14739*l + 137564 = 0. Calculate l.
-34, -7, 4, 17
Let 2*v**3/11 - 4*v**2 - 2066*v/11 + 11180/11 = 0. What is v?
-26, 5, 43
Suppose t**4/3 + 505*t**3/3 + 1972*t**2 = 0. What is t?
-493, -12, 0
Find m, given that m**3/2 - 4667*m**2/2 + 2333*m = 0.
0, 1, 4666
Factor -6*k**2/7 - 37*k + 13170/7.
-(k - 30)*(6*k + 439)/7
Let 2*y**2/5 - 272*y/5 - 7314/5 = 0. Calculate y.
-23, 159
Suppose -2*l**5/5 + 654*l**4/5 + 6032*l**3/5 + 5376*l**2/5 = 0. What is l?
-8, -1, 0, 336
Factor -f**3 - 158411*f**2 - 6273432024*f + 6273590436.
-(f - 1)*(f + 79206)**2
Find l such that 5*l**3/2 + 5235*l**2/2 - 10500*l + 10510 = 0.
-1051, 2
Determine g, given that -5*g**3 + 235*g**2 - 2760*g = 0.
0, 23, 24
Solve -3*q**2/5 + 63*q - 1560 = 0 for q.
40, 65
Determine g, given that 3*g**4 + 2949*g**3 + 1010439*g**2 + 133765143*g + 4512034650 = 0.
-311, -50
Factor 4*k**3 + 348*k**2 - 4192*k + 11760.
4*(k - 6)*(k - 5)*(k + 98)
Solve a**3/2 - 614903*a**2 + 378105699409*a/2 = 0.
0, 614903
Solve 2*a**3/3 + 18016*a**2/3 + 40840922*a/3 + 403022420 = 0 for a.
-4489, -30
Determine g, given that -878*g**3/3 - 91897*g**2 - 7213836*g + 24649/3 = 0.
-157, 1/878
Let 4*z**4 + 5232*z**3 + 183168*z**2 = 0. Calculate z.
-1272, -36, 0
Find m such that m**3/3 + 8*m**2 - 340*m/3 = 0.
-34, 0, 10
Factor 4*j**5 + 8*j**4 - 44*j**3 - 48*j**2 + 144*j.
4*j*(j - 2)**2*(j + 3)**2
Factor -4*g**2 + 419064*g - 10975914756.
-4*(g - 52383)**2
Factor -213*p**3 + 268*p**2 - 55*p.
-p*(p - 1)*(213*p - 55)
What is r in 1257*r**4/2 + 32685*r**3/2 + 89325*r**2/2 + 58035*r/2 + 69 = 0?
-23, -2, -1, -1/419
Let -2*b**4/9 - 944*b**3/9 - 12850*b**2/9 - 11908*b/9 = 0. Calculate b.
-458, -13, -1, 0
Determine o so that 4*o**5 + 148*o**4 + 1228*o**3 + 4236*o**2 + 6624*o + 3888 = 0.
-27, -3, -2
Suppose -3*i**3/2 + 135*i**2 + 1206*i - 2940 = 0. What is i?
-10, 2, 98
Find m such that m**5 - 214*m**4 - 246*m**3 + 6664*m**2 + 245*m - 6450 = 0.
-6, -1, 1, 5, 215
Factor 14*x**2/13 + 50802*x/13 - 14516/13.
2*(x + 3629)*(7*x - 2)/13
Factor 5*p**2 + 362150*p + 6557631125.
5*(p + 36215)**2
Factor 2*s**2 + 3054*s + 223300.
2*(s + 77)*(s + 1450)
Determine j so that -4*j**2/5 - 520056*j/5 - 16903640196/5 = 0.
-65007
Find h, given that 2*h**5/11 + 8*h**4/11 - 636*h**3/11 + 4984*h**2/11 - 11270*h/11 = 0.
-23, 0, 5, 7
Suppose 3*l**3/4 + 93*l**2 - 6303*l/4 - 1668 = 0. What is l?
-139, -1, 16
Suppose -x**3 + 283292*x**2 - 20063872605*x + 40126612050 = 0. What is x?
2, 141645
Determine p so that 5*p**2 + 238310*p - 238315 = 0.
-47663, 1
Find f, given that -f**3 - 1174030*f**2 - 344587784252*f - 689170872392 = 0.
-587014, -2
Let 2*w**4 + 280*w**3 + 7460*w**2 - 16920*w - 24102 = 0. What is w?
-103, -39, -1, 3
Find n, given that -5*n**3 - 700*n**2 + 38220*n = 0.
-182, 0, 42
Let 5*m**4/3 - 680*m**3 + 13865*m**2/3 + 22790*m - 80200/3 = 0. What is m?
-4, 1, 10, 401
Find f, given that 10*f**4 + 506*f**3/7 - 384*f**2 + 2440*f/7 + 704/7 = 0.
-11, -8/35, 2
Let -p**3 + 165*p**2 - 1836*p = 0. What is p?
0, 12, 153
Let 4*j**4 + 512*j**3 - 9008*j**2 + 29760*j - 27648 = 0. Calculate j.
-144, 2, 12
Determine x so that -x**3/6 - 29285*x**2/3 - 117134*x/3 - 39044 = 0.
-58566, -2
Find g, given that g**3/5 - 236642*g**2/5 + 236641*g/5 = 0.
0, 1, 236641
Factor -v**4/6 - 47*v**3/2 + 289*v**2/6 + 143*v/2.
-v*(v - 3)*(v + 1)*(v + 143)/6
Factor n**2/5 + 5013*n/5 - 5014/5.
(n - 1)*(n + 5014)/5
Factor 119286*q**3/17 + 390852*q**2/17 + 205110*q/17 + 29584/17.
2*(3*q + 8)*(141*q + 43)**2/17
Factor 3*v**3/5 + 27*v**2/5 - 132*v + 2016/5.
3*(v - 8)*(v - 4)*(v + 21)/5
Let -23*p**5/7 + 1496*p**4/7 - 5792*p**3/7 + 7310*p**2/7 - 3113*p/7 + 122/7 = 0. Calculate p.
1/23, 1, 2, 61
Suppose -n**3/4 - 149*n**2/4 - 4579*n/4 - 40071/4 = 0. Calculate n.
-111, -19
Factor 3*d**3 + 516*d**2 + 27084*d + 394272.
3*(d + 24)*(d + 74)**2
Factor 2*g**2/17 + 4094468*g/17 + 2095583525378/17.
2*(g + 1023617)**2/17
Factor 3*j**2/8 + 8661*j/8 - 1083.
3*(j - 1)*(j + 2888)/8
Factor 45*d**4 + 50*d**3 - 280*d**2.
5*d**2*(d - 2)*(9*d + 28)
What is f in -5*f**3 + 220*f**2 + 2315*f + 3710 = 0?
-7, -2, 53
Factor -3*m**3/4 - 123*m**2/4 + 330*m + 1764.
-3*(m - 12)*(m + 4)*(m + 49)/4
Factor 2*i**3/9 + 286*i**2/3 + 8204*i/3 - 25472/9.
2*(i - 1)*(i + 32)*(i + 398)/9
Factor -k**2 + 46008*k - 529184016.
-(k - 23004)**2
Suppose -5*z**5 - 1650*z**4 - 1585*z**3 + 19880*z**2 + 46140*z + 26320 = 0. Calculate z.
-329, -2, -1, 4
Determine z so that 4*z**5 - 1020*z**4 + 83004*z**3 - 2118916*z**2 + 2036928*z = 0.
0, 1, 48, 103
Factor 6770*x**2/9 + 22568*x/3 + 40/9.
2*(x + 10)*(3385*x + 2)/9
Factor m**3/4 + 9*m**2/2 - 363*m/4 + 310.
(m - 8)*(m - 5)*(m + 31)/4
Determine o, given that 240*o**2 - 125*o - 190 = 0.
-2/3, 19/16
Factor -3514*l**2/3 + 4692*l - 80/3.
-2*(l - 4)*(1757*l - 10)/3
Suppose 3*c**2/7 + 414*c/7 + 8991/7 = 0. Calculate c.
-111, -27
Solve 8*d**5/3 + 418*d**4/3 + 5504*d**3/3 + 934*d**2/3 - 5512*d/3 - 1352/3 = 0 for d.
-26, -1, -1/4, 1
Solve 4*o**4 - 616*o**3 + 20292*o**2 - 200480*o + 180800 = 0 for o.
1, 20, 113
Suppose 18*m**2/7 + 13702*m/7 + 3044/7 = 0. Calculate m.
-761, -2/9
Solve 100*w**5 + 11995*w**4 + 23100*w**3 + 10615*w**2 - 590*w = 0.
-118, -1, 0, 1/20
Find x, given that -6*x**2/5 - 25788*x/5 - 1450422/5 = 0.
-4241, -57
Factor -d**2/5 + 23218*d/5 - 134768881/5.
-(d - 11609)**2/5
Solve -2*j**5/17 - 8*j**4/17 + 366*j**3/17 - 2196*j**2/17 + 4968*j/17 - 3888/17 = 0 for j.
-18, 2, 3, 6
Let -2*h**5 + 8*h**4 + 128*h**3 - 92*h**2 - 1950*h - 2700 = 0. Calculate h.
-5, -3, -2, 5, 9
Factor 2*g**2/7 + 512*g - 14368/7.
2*(g - 4)*(g + 1796)/7
Find c such that c**4/2 - 131*c**3/2 - 548*c**2 - 1112*c = 0.
-4, 0, 139
What is p in -p**4 + 40*p**3 + 50*p**2 - 360*p - 369 = 0?
-3, -1, 3, 41
Let 32*b**2 + 320868*b - 601740 = 0. Calculate b.
-10029, 15/8
Factor s**2/2 - 813*s - 1627/2.
(s - 1627)*(s + 1)/2
Solve -y**4 - 49*y**3 - 86*y**2 + 376*y = 0 for y.
-47, -4, 0, 2
Solve -2*x**3 - 486*x**2 - 1444*x - 960 = 0 for x.
-240, -2, -1
Suppose 2*c**5/11 + 18*c**4/11 - 98*c**3/11 - 882*c**2/11 = 0. What is c?
-9, -7, 0, 7
Factor 3*h**3/4 - 2889*h**2/4 + 290565*h/4 + 218112177/4.
3*(h - 587)**2*(h + 211)/4
Let -a**5 + 42*a**4 - 661*a**3 + 4896*a**2 - 16960*a + 21504 = 0. What is a?
3, 7, 8, 16
Factor 5*f**2 + 9260*f + 27