8
Factor o**3 - 178*o**2 + 6477*o.
o*(o - 127)*(o - 51)
Solve 297680*j**5 - 6243960*j**4 - 153675*j**3 - 945*j**2 = 0.
-3/244, 0, 21
Suppose -2*g**3 + 922*g**2 - 18436*g - 19360 = 0. Calculate g.
-1, 22, 440
Find n such that 5*n**2 + 3370*n + 13400 = 0.
-670, -4
Factor -4*q**2/3 + 102712*q/3 - 659359684/3.
-4*(q - 12839)**2/3
Determine a, given that 16*a**2 + 4424*a + 305809 = 0.
-553/4
Find a such that 5*a**2 + 1020*a - 4160 = 0.
-208, 4
Factor -w**4/4 - 75*w**3/4 + 1019*w**2/2 + 528*w.
-w*(w - 22)*(w + 1)*(w + 96)/4
Factor -3*f**2/5 + 51372*f/5 - 51357.
-3*(f - 17119)*(f - 5)/5
Let 4*z**2 - 166080*z = 0. What is z?
0, 41520
Determine v so that -v**5/3 + 58*v**4/3 - 1270*v**3/3 + 4300*v**2 - 19875*v + 33750 = 0.
5, 15, 18
Factor q**2 - 212*q + 10875.
(q - 125)*(q - 87)
Let -3*k**3 + 1638*k**2 + 331113*k = 0. What is k?
-157, 0, 703
Factor w**3 - 514*w**2 + 1535*w - 1022.
(w - 511)*(w - 2)*(w - 1)
Suppose 2*i**3 + 246*i**2 + 9072*i + 87480 = 0. What is i?
-54, -15
Suppose k**5/10 + 286*k**4/5 + 3659*k**3/5 + 14272*k**2/5 + 3893*k/2 - 5590 = 0. What is k?
-559, -5, -4, 1
What is z in 3*z**3/4 + 5353289*z**2/4 + 2388141034245*z/4 - 796047606225/4 = 0?
-892215, 1/3
Determine n so that 5*n**5 - 355*n**4 + 2550*n**3 + 17120*n**2 - 138880*n = 0.
-7, 0, 8, 62
Determine x so that x**2/3 - 6744*x - 20233/3 = 0.
-1, 20233
Factor 4*q**2 - 860*q - 18800.
4*(q - 235)*(q + 20)
What is j in -2*j**5 + 456*j**4 - 15992*j**3 + 15084*j**2 + 15994*j - 15540 = 0?
-1, 1, 42, 185
Solve 2*m**3/17 - 9906*m**2/17 + 12241302*m/17 + 61454410/17 = 0 for m.
-5, 2479
Find x such that 2*x**5/5 - 226*x**4/5 + 252*x**3 + 2708*x**2/5 - 2966*x - 3210 = 0.
-3, -1, 5, 107
Let -3*x**5/2 + 27903*x**4 - 223152*x**3 + 446256*x**2 = 0. What is x?
0, 4, 18594
Determine m, given that -5*m**2/3 - 3340*m + 20060/3 = 0.
-2006, 2
Factor 3*k**3 - 747*k**2 - 10260*k + 11004.
3*(k - 262)*(k - 1)*(k + 14)
Factor 5*b**3 - 1450*b**2 + 14120*b - 33600.
5*(b - 280)*(b - 6)*(b - 4)
Let 3*d**5/7 - 3342*d**4/7 - 6744*d**3/7 + 53562*d**2/7 + 963*d - 50220/7 = 0. Calculate d.
-5, -1, 1, 3, 1116
What is q in -125*q**3 - 17050*q**2 + 2772595*q - 80497200 = 0?
-240, 259/5
Factor -w**4/6 - 1141*w**3/6 - 71616*w**2 - 8626176*w + 103809024.
-(w - 11)*(w + 384)**3/6
Determine t so that -8*t**5/7 - 78*t**4/7 + 44*t**3/7 + 218*t**2/7 - 216*t/7 + 40/7 = 0.
-10, -2, 1/4, 1
Determine t so that -2*t**3/9 - 117772*t**2/9 - 235538*t/9 - 39256/3 = 0.
-58884, -1
Factor 2*h**3/9 + 34*h**2/3 + 928*h/9 - 608.
2*(h - 4)*(h + 19)*(h + 36)/9
Determine c, given that c**5/2 - 226*c**4 + 25311*c**3 + 51302*c**2 + 51529*c/2 = 0.
-1, 0, 227
Determine w so that 442*w**3 + 439*w**2 - 13*w - 10 = 0.
-1, -5/34, 2/13
Factor 4*p**3/5 - 114756*p**2/5 + 823116096*p/5 - 823001344/5.
4*(p - 14344)**2*(p - 1)/5
Find r such that -132*r**5/19 - 782*r**4/19 + 4654*r**3/19 - 6868*r**2/19 + 3848*r/19 - 720/19 = 0.
-10, 9/22, 2/3, 1, 2
What is g in 5*g**2 - 584570*g + 17086104245 = 0?
58457
Let -4*g**2 + 21324*g - 42632 = 0. What is g?
2, 5329
Determine q so that -98*q**5/13 - 10248*q**4/13 + 176056*q**3/13 - 649536*q**2/13 - 415232*q/13 - 61440/13 = 0.
-120, -2/7, 8
Factor -18*g**2 + 4731*g - 289338.
-3*(g - 166)*(6*g - 581)
Find v such that v**2/4 - 3847*v/4 - 11559/2 = 0.
-6, 3853
Solve 3*r**4 + 1017*r**3 + 90639*r**2 + 752895*r + 1470150 = 0 for r.
-165, -6, -3
Factor c**2/5 - 613028*c/5 + 93950832196/5.
(c - 306514)**2/5
Suppose -2*y**3 + 30780*y**2 - 123096*y + 123088 = 0. Calculate y.
2, 15386
Suppose 2*z**2/13 + 3546*z/13 + 56224/13 = 0. What is z?
-1757, -16
Suppose -3*p**2 - 9387*p + 28188 = 0. Calculate p.
-3132, 3
What is n in n**5 - 10297*n**4 + 298042*n**3 - 2773060*n**2 + 7186600*n + 10268000 = 0?
-1, 10, 10268
Let r**2 - 4946*r = 0. What is r?
0, 4946
Suppose -2*a**5 + 98*a**4 - 956*a**3 + 672*a**2 + 1728*a = 0. What is a?
-1, 0, 2, 12, 36
Factor -6*c**3/7 - 1416*c**2/7 - 1398*c/7 + 2820/7.
-6*(c - 1)*(c + 2)*(c + 235)/7
Factor 4*o**2 + 15332*o - 122912.
4*(o - 8)*(o + 3841)
Factor 2*u**2 + 4548*u - 13662.
2*(u - 3)*(u + 2277)
Suppose -4*r**4 - 364*r**3 + 1908*r**2 - 1188*r - 3456 = 0. What is r?
-96, -1, 3
Determine s so that s**4/3 - 292*s**3 - 9600*s**2 - 232448*s/3 = 0.
-16, 0, 908
Determine m, given that 20*m**5 - 32*m**4 - 156*m**3 + 344*m**2 - 80*m - 96 = 0.
-3, -2/5, 1, 2
Factor 3*x**2 + 20076*x - 60255.
3*(x - 3)*(x + 6695)
Determine q, given that -q**5/10 - 504*q**4 - 5038*q**3/5 + q**2/5 + 10077*q/10 + 2519/5 = 0.
-5038, -1, 1
Solve -2*z**5/13 - 578*z**4/13 - 43102*z**3/13 - 182950*z**2/13 + 1315488*z/13 - 1088856/13 = 0.
-142, -9, 1, 3
Factor 3*z**3 - 99*z**2 - 3486*z - 21168.
3*(z - 56)*(z + 9)*(z + 14)
Suppose 5*u**5 - 125*u**4 - 1635*u**3 + 26525*u**2 + 1630*u - 26400 = 0. What is u?
-16, -1, 1, 11, 30
Solve a**3 - 1868*a**2 = 0 for a.
0, 1868
Factor -2*b**2 - 23868*b - 71210178.
-2*(b + 5967)**2
What is v in -v**5/5 + 1202*v**4/5 - 31697*v**3/5 - 6580*v**2 = 0?
-1, 0, 28, 1175
Determine u so that 5*u**2/3 - 37345*u/3 = 0.
0, 7469
Determine c so that -2*c**4/5 - 414*c**3/5 - 7764*c**2/5 + 9016*c/5 + 16368/5 = 0.
-186, -22, -1, 2
Solve 2*k**5 - 78*k**4 + 914*k**3 - 1602*k**2 - 21076*k + 21840 = 0 for k.
-4, 1, 13, 14, 15
Determine w so that -5*w**4 + 1140*w**3 - 71140*w**2 + 669600*w + 1632960 = 0.
-2, 14, 108
Find i, given that 12*i**4 + 22171*i**3 + 10258227*i**2 + 16195881*i + 4259645 = 0.
-923, -5/4, -1/3
Factor 38*j**3/3 + 53579*j**2/6 + 106151*j/6 - 703/3.
(j + 2)*(j + 703)*(76*j - 1)/6
Suppose -4*g**4/3 - 324*g**3 - 22244*g**2 - 933380*g/3 - 1225824 = 0. Calculate g.
-113, -9, -8
Factor -4*f**2/13 - 22306*f/13 + 858.
-2*(f + 5577)*(2*f - 1)/13
Solve -5*j**5 - 60*j**4 + 595*j**3 + 5910*j**2 - 7340*j - 12600 = 0.
-14, -9, -1, 2, 10
What is i in -3*i**3/5 + 2019*i**2 - 180981*i/5 + 813321/5 = 0?
9, 3347
Find a, given that -5*a**2 - 651520*a + 651525 = 0.
-130305, 1
Find x such that 3*x**4 - 36*x**3 - 234*x**2 - 348*x - 153 = 0.
-3, -1, 17
Find k, given that -5*k**2 - 5345*k - 1377950 = 0.
-635, -434
What is v in -10*v**4 + 75*v**3 - 105*v**2 - 115*v + 75 = 0?
-1, 1/2, 3, 5
Factor 2*a**3/3 + 4692*a**2 + 18760*a + 56272/3.
2*(a + 2)**2*(a + 7034)/3
Factor d**2/6 - 4109*d/6 + 26624/3.
(d - 4096)*(d - 13)/6
Factor -y**2/2 - 46128*y + 92257/2.
-(y - 1)*(y + 92257)/2
Suppose 3*z**2/8 + 13455*z/8 + 47019/4 = 0. Calculate z.
-4478, -7
Factor 5*o**2 - 6300850*o + 1985035536125.
5*(o - 630085)**2
Factor -2*m**3 - 13248*m**2 - 26482*m + 39732.
-2*(m - 1)*(m + 3)*(m + 6622)
Let -22*r**3/5 + 291238*r**2/5 + 556084*r/5 - 10592 = 0. What is r?
-2, 1/11, 13240
Determine y so that -977945*y**2/3 - 10*y/3 = 0.
-2/195589, 0
Let 2*q**2/9 + 1700*q/3 + 20368/9 = 0. What is q?
-2546, -4
Let -2*s**2/3 + 227042*s/3 - 302712 = 0. Calculate s.
4, 113517
Factor 2*p**2 + 216*p - 2106.
2*(p - 9)*(p + 117)
Suppose d**5/6 - 55*d**4/6 - 39*d**3/2 + 167*d**2/6 + 116*d/3 - 38 = 0. What is d?
-2, 1, 57
Solve -2*t**2/13 - 6550*t/13 - 26168/13 = 0.
-3271, -4
Solve 2*j**2/11 - 224*j/11 + 4350/11 = 0 for j.
25, 87
Factor z**2/2 - 547*z + 7609/2.
(z - 1087)*(z - 7)/2
Solve 5*i**2 - 1389180*i + 96491053620 = 0.
138918
Factor -3*q**2/4 + 1506453*q/4 + 376614.
-3*(q - 502152)*(q + 1)/4
Suppose -3*u**5 - 657*u**4 - 5076*u**3 - 2388*u**2 + 30384*u = 0. What is u?
-211, -6, -4, 0, 2
Let -5*t**2 + 2415*t + 2420 = 0. Calculate t.
-1, 484
What is x in -4*x**4 - 156*x**3 + 12332*x**2 - 24180*x + 12008 = 0?
-79, 1, 38
Let -44*y**3 + 4784*y**2/3 - 5780*y/3 + 1400/3 = 0. Calculate y.
1/3, 10/11, 35
Solve -o**2 + 339094*o - 28746185209 = 0 for o.
169547
Factor -2804*v**3 - 5688*v**2 - 2964*v - 80.
-4*(v + 1)**2*(701*v + 20)
Factor 2*t**4/5 - 4694*t**3/5 + 546592*t**2 + 24978312*t/5.
2*t*(t - 1178)**2*(t + 9)/5
What is f in 62*f**3 - 75*f**2/2 - 199*f/2 = 0?
-1, 0, 199/124
Factor -4*h**3/7 - 228*h**2/7 + 1240*h/7.
-4*h*(h - 5)*(h + 62)/7
Solve 5*b**5 - 6635*b**4 + 2903330*b**3 - 404700390*b**2 - 6213060855*b - 5805450495 = 0.
-13, -1, 447
Factor -2*u**2/3 - 5398*u + 32396/3.
-2*(u - 2)*(u + 8099)/3
Find o, given that 5*o**2 + 550230*o = 0.
-110046, 0
Solve 3*d**3/8 + 975*d**2/4 + 486*d = 0.
-648, -2, 0
Let x**4 + 6963*x**3 + 12124323*x**2 + 12117361*x = 0. Calculate x.
-3481, -1, 0
Let x**5 - 55*x**4 - 365*x**3 - 85*x**2 + 1480*x - 976 = 0. What is x?
-4, 1, 61
Fin