/8 = 0. Calculate k.
3885
Let -15*w**4 - 14799*w**3 - 3274443*w**2 + 189750891*w - 75375498 = 0. What is w?
-517, 2/5, 47
Determine c, given that 3*c**3 - 1695*c**2/2 - 6051*c/2 + 6435 = 0.
-5, 3/2, 286
Find b such that b**5/2 + 4611*b**4/2 + 2232945*b**3 - 978980753*b**2 + 181362494493*b/2 - 179409003489/2 = 0.
-2477, 1, 171
Factor 101978*v**4 - 203961*v**3 + 101988*v**2 - 5*v.
v*(v - 1)**2*(101978*v - 5)
Let 3*r**5/5 + 546*r**4/5 + 4221*r**3/5 + 7806*r**2/5 - 4224*r/5 - 8352/5 = 0. Calculate r.
-174, -4, -1, 1
Factor -m**4 - 322*m**3 - 11892*m**2 + 2536744*m + 5118496.
-(m - 68)*(m + 2)*(m + 194)**2
Factor 4*m**3/5 - 151964*m**2/5 + 288678412*m - 288648020.
4*(m - 18995)**2*(m - 1)/5
Suppose -5*d**3 + 425*d**2 - 6610*d - 7040 = 0. Calculate d.
-1, 22, 64
Let -17*t**4/2 + 29*t**3 = 0. What is t?
0, 58/17
Factor -v**3/8 - 3*v**2/4 + 1267*v/8 - 465.
-(v - 31)*(v - 3)*(v + 40)/8
Determine i so that 75*i**2/4 + 771*i/8 + 105/8 = 0.
-5, -7/50
Factor 5*t**2 + 150*t + 1000.
5*(t + 10)*(t + 20)
Determine x so that 225*x**5 - 2360*x**4 + 8420*x**3 - 11770*x**2 + 4795*x + 690 = 0.
-1/9, 1, 2, 3, 23/5
Find x, given that -2*x**2/3 - 7500*x + 22502/3 = 0.
-11251, 1
Find o, given that -3*o**5/7 + 2073*o**4/7 + 4161*o**3/7 - 2073*o**2/7 - 594*o = 0.
-2, -1, 0, 1, 693
Factor -4*y**5 - 18184*y**4 - 20647924*y**3 + 41350416*y**2 - 20684304*y.
-4*y*(y - 1)**2*(y + 2274)**2
Find x such that x**5/3 + 48*x**4 + 1949*x**3/3 + 602*x**2 = 0.
-129, -14, -1, 0
Factor 3*g**4/5 - 8*g**3 + 107*g**2/5 - 14*g.
g*(g - 10)*(g - 1)*(3*g - 7)/5
Factor 5*q**4/3 + 2944*q**3 + 1782662*q**2 + 1192005896*q/3 + 16569077579.
(q + 571)**3*(5*q + 267)/3
Factor -7500*k**4 + 219525*k**3 - 1578582*k**2 - 408483*k.
-3*k*(4*k + 1)*(25*k - 369)**2
Factor 4*i**4 - 5356*i**3 + 1790216*i**2 + 1827760*i - 10773600.
4*(i - 670)**2*(i - 2)*(i + 3)
Suppose 100*i**5 + 520*i**4 - 35664*i**3 + 28256*i**2 - 5632*i = 0. Calculate i.
-22, 0, 2/5, 16
Factor -4*m**2 + 1952932*m - 3905848.
-4*(m - 488231)*(m - 2)
Factor -2*b**2/3 + 4210*b + 101168/3.
-2*(b - 6323)*(b + 8)/3
Factor 6*a**5/7 + 207*a**4/7 - 438*a**3/7.
3*a**3*(a - 2)*(2*a + 73)/7
What is s in 15*s**3 + 14163*s**2/2 - 12765*s/2 + 1419 = 0?
-473, 2/5, 1/2
Factor -g**2/4 + 8159*g/4 + 40895.
-(g - 8179)*(g + 20)/4
Suppose 6*n**4/7 + 23140*n**3/7 - 1102*n**2 = 0. What is n?
-3857, 0, 1/3
Find q such that 9*q**3/10 - 41913*q**2/5 - 83839*q/10 + 3726 = 0.
-4/3, 1/3, 9315
Suppose -5*j**4/3 + 55*j**3 + 920*j**2/3 + 380*j = 0. Calculate j.
-3, -2, 0, 38
Factor 3*k**5 + 14805*k**4.
3*k**4*(k + 4935)
Solve -2*h**4/7 - 1056*h**3/7 + 7506*h**2/7 + 8560*h/7 = 0.
-535, -1, 0, 8
Suppose -16*s**3/7 + 8888*s**2/7 - 13305*s/7 + 4986/7 = 0. Calculate s.
3/4, 554
Factor -y**2/8 + 241*y + 4845/2.
-(y - 1938)*(y + 10)/8
Factor -d**3 - 1343*d**2 - 25174*d - 23832.
-(d + 1)*(d + 18)*(d + 1324)
Solve 10*o**5/11 - 936*o**4/11 + 7514*o**3/11 - 17404*o**2/11 + 5376*o/11 + 5440/11 = 0.
-2/5, 1, 4, 85
What is f in -3*f**2/4 - 88881*f/2 - 2633277387/4 = 0?
-29627
Find o such that 4*o**2 + 17640*o - 35296 = 0.
-4412, 2
Find a, given that -a**3/6 + 1769*a**2/3 - 1045475*a/2 + 2081526 = 0.
4, 1767
Let 3*p**2/2 - 587439*p = 0. What is p?
0, 391626
Factor o**2 - 2363*o - 4730.
(o - 2365)*(o + 2)
Factor 5*l**4 + 605*l**3 - 1225*l**2 + 615*l.
5*l*(l - 1)**2*(l + 123)
Factor -2*b**2 + 106016*b + 212040.
-2*(b - 53010)*(b + 2)
Suppose -4*k**2/7 - 33804*k/7 - 33800/7 = 0. Calculate k.
-8450, -1
Solve -215*v**3 - 8180*v**2 - 29620*v - 1360 = 0 for v.
-34, -4, -2/43
Suppose 5*u**3 + 9115*u**2 + 18195*u - 27315 = 0. What is u?
-1821, -3, 1
Suppose 2*j**3 - 253*j**2 + 620*j = 0. Calculate j.
0, 5/2, 124
Find r such that 3*r**4 - 81*r**3 + 609*r**2 - 711*r - 1404 = 0.
-1, 3, 12, 13
Factor -3*f**2 - 1755*f - 94500.
-3*(f + 60)*(f + 525)
What is s in -105*s**4 + 655*s**3/2 + 1860*s**2 - 495*s/2 - 135 = 0?
-3, -3/14, 1/3, 6
Factor -r**2/3 + 158*r - 473/3.
-(r - 473)*(r - 1)/3
Suppose -5*l**2/2 - 1328095*l - 352767265805/2 = 0. Calculate l.
-265619
Suppose -2*t**2/3 + 33524*t/3 - 140482322/3 = 0. Calculate t.
8381
Suppose -4*g**5/5 + 7144*g**4/5 + 194864*g**3/5 + 1701448*g**2/5 + 1004740*g + 3509968/5 = 0. What is g?
-11, -4, -1, 1813
Factor -2*v**3/5 + 3492*v**2/5 - 304152*v - 3055504/5.
-2*(v - 874)**2*(v + 2)/5
Determine a, given that 3*a**2 + 1617174*a + 217937645523 = 0.
-269529
Solve -6885675*y**2/4 - 577215*y - 48387 = 0 for y.
-254/1515
Find b such that -4*b**4 + 88*b**3 - 492*b**2 + 248*b + 832 = 0.
-1, 2, 8, 13
Determine j so that -3*j**4/7 + 54*j**3 - 4947*j**2/7 - 5328*j/7 = 0.
-1, 0, 16, 111
Determine c so that -63*c**3/2 - 33195*c**2/2 - 271524*c + 26010 = 0.
-510, -17, 2/21
Solve x**4 - 81*x**3 + 719*x**2 - 639*x = 0.
0, 1, 9, 71
Determine v, given that 13*v**4 + 32446*v**3 + 26991744*v**2 + 7482941440*v - 1151860736 = 0.
-832, 2/13
Determine i, given that -12*i**3 + 3088*i**2 + 31012*i - 10680 = 0.
-10, 1/3, 267
Factor j**4 + 642*j**3 + 93176*j**2 - 576498*j + 873495.
(j - 3)**2*(j + 235)*(j + 413)
Find c, given that 9*c**4/2 - 5763*c**3 + 1852776*c**2 - 4894101*c - 3674889/2 = 0.
-1/3, 3, 639
Let 2*p**5 - 8972*p**4 + 9990020*p**3 + 161774920*p**2 + 415259978*p + 263484052 = 0. What is p?
-13, -2, -1, 2251
Factor -l**4 - l**3 + 108*l**2 + 540*l + 432.
-(l - 12)*(l + 1)*(l + 6)**2
Factor 4*l**3/5 - 59624*l**2/5.
4*l**2*(l - 14906)/5
Solve 49*d**3/4 + 34727*d**2 + 119037*d/4 + 12753/2 = 0.
-2834, -3/7
Determine y, given that -6*y**4 - 6370*y**3 + 14910*y**2 + 14890*y - 6384 = 0.
-1064, -1, 1/3, 3
Factor 22500*s**3 + 4495200*s**2 - 959744*s + 51200.
4*(s + 200)*(75*s - 8)**2
Suppose 3*i**3/5 - 108*i**2/5 - 693*i - 21054/5 = 0. Calculate i.
-11, 58
Factor -2*w**2 + 586*w - 11924.
-2*(w - 271)*(w - 22)
Factor -8*z**3 + 327*z**2/2 + 282*z - 154.
-(z - 22)*(z + 2)*(16*z - 7)/2
Factor 2*b**5/3 - 1850*b**4/3 + 850057*b**3/6 + 429200*b**2 + 322944*b.
b*(b - 464)**2*(2*b + 3)**2/6
Suppose 2*z**5/5 + 4086*z**4/5 + 2129436*z**3/5 + 43475508*z**2/5 + 276955362*z/5 + 496750806/5 = 0. Calculate z.
-1011, -9, -3
Factor -4*i**2 - 14444*i + 14448.
-4*(i - 1)*(i + 3612)
Factor -2*b**3 + 1862*b**2 - 437998*b + 2143690.
-2*(b - 463)**2*(b - 5)
Factor 4*b**2/3 + 1964*b/3 - 73640/3.
4*(b - 35)*(b + 526)/3
Factor 2*c**3 + 1656*c**2.
2*c**2*(c + 828)
Let 56*v**4/5 + 2862*v**3/5 + 1170*v**2 + 3338*v/5 + 294/5 = 0. What is v?
-49, -1, -3/28
Find c, given that 2*c**3/5 - 5582*c**2/5 + 55652*c/5 - 88992/5 = 0.
2, 8, 2781
Factor q**3 + 256*q**2 + 2485*q + 6150.
(q + 5)**2*(q + 246)
Factor -4*p**3 + 184*p**2 - 1280*p + 2432.
-4*(p - 38)*(p - 4)**2
Factor 3*m**2 - 159*m + 846.
3*(m - 47)*(m - 6)
Determine o, given that 2*o**2/7 + 552838*o/7 = 0.
-276419, 0
What is m in 4*m**3 + 5376*m**2 + 704996*m + 1388520 = 0?
-1197, -145, -2
Suppose -d**2 + 87640*d - 1920192400 = 0. Calculate d.
43820
Factor -3*h**2/5 + 90864*h/5 - 688022208/5.
-3*(h - 15144)**2/5
Factor 2*o**2/3 + 670*o/3 - 3400/3.
2*(o - 5)*(o + 340)/3
Factor 5*j**4/6 + 13705*j**3/6 + 13695*j**2/2 + 41075*j/6 + 6845/3.
5*(j + 1)**3*(j + 2738)/6
Find r, given that -11*r**3/10 + 417*r**2/5 + 999*r/10 + 77/5 = 0.
-1, -2/11, 77
Factor -4*m**2 + 161012*m.
-4*m*(m - 40253)
Factor 3*n**3/2 + 1989*n**2/2 - 3987*n/2 + 1995/2.
3*(n - 1)**2*(n + 665)/2
Suppose -3*d**2 - 579*d - 11286 = 0. What is d?
-171, -22
Factor -q**2/3 + 4124*q/3 - 4251844/3.
-(q - 2062)**2/3
Determine i, given that i**3/4 - 1022*i**2 + 4173845*i/4 + 4182025/2 = 0.
-2, 2045
What is x in 3*x**5 + 702*x**4 - 533070*x**3 - 145445712*x**2 - 289289421*x - 144377478 = 0?
-333, -1, 434
Find z, given that 6*z**4 + 88*z**3 + 410*z**2 + 656*z + 280 = 0.
-7, -5, -2, -2/3
Factor -230*k**3 + 1655*k**2 - 1650*k.
-5*k*(k - 6)*(46*k - 55)
Determine q, given that 25*q**4 - 860*q**3 - 156460*q**2 + 62720*q = 0.
-64, 0, 2/5, 98
Factor 3*x**3/7 - 11274*x**2/7 + 10409235*x/7 + 344738400/7.
3*(x - 1895)**2*(x + 32)/7
Let 507*q**4/7 - 72657*q**3/7 - 124710*q**2/7 + 43524*q/7 - 3480/7 = 0. What is q?
-2, 2/13, 145
Factor g**2/3 - 208270*g/3 + 10844098225/3.
(g - 104135)**2/3
Factor 4*r**4 - 636*r**3 + 22844*r**2 + 23484*r.
4*r*(r - 103)*(r - 57)*(r + 1)
Let 4*v**3 - 29872*v**2 - 269140*v - 239264 = 0. Calculate v.
-8, -1, 7477
Factor -s**2/4 + 45149*s/4 - 135429/2.
-(s - 45143)*(s - 6)/4
What is u in -2*u**2 + 373