8*u**3 - 2073*u**2 + 2360*u.
u*(u - 295)*(u - 1)*(u + 8)
Factor 35*b**3 - 1334260*b**2 + 12715879015*b + 3633217210.
5*(b - 19061)**2*(7*b + 2)
Determine f, given that -8*f**5/3 - 368*f**4/3 - 74*f**3/3 + 4386*f**2 + 4344*f + 1080 = 0.
-45, -6, -1/2, 6
Solve -2*g**2 + 184946*g - 554820 = 0.
3, 92470
Let 78*p**3 + 382*p**2 - 508*p + 48 = 0. What is p?
-6, 4/39, 1
Factor -2*k**4/5 + 66*k**3/5 + 5124*k**2/5 + 82712*k/5 + 82320.
-2*(k - 75)*(k + 14)**3/5
Suppose g**5/7 + 486*g**4/7 + 70198*g**3/7 + 3230172*g**2/7 + 6251689*g/7 + 3091230/7 = 0. What is g?
-270, -107, -1
Solve 5*l**2/7 + 176*l/7 + 180 = 0.
-126/5, -10
Factor 4*b**2 + 355056*b + 7879047696.
4*(b + 44382)**2
Find t such that -t**3 + 40*t**2 - 461*t + 1430 = 0.
5, 13, 22
Determine h, given that -5*h**4 - 220*h**3 + 3225*h**2 - 7560*h = 0.
-56, 0, 3, 9
Factor 4*o**2/7 + 313988*o/7.
4*o*(o + 78497)/7
Factor 6*r**3 - 4706*r**2 + 1520*r + 37632.
2*(r - 784)*(r - 3)*(3*r + 8)
Solve 2*m**3/9 - 1142*m**2/3 + 27262*m/9 + 3410 = 0.
-1, 9, 1705
Factor -5*w**3/2 + 1160990*w**2 + 4643990*w + 4644000.
-5*(w - 464400)*(w + 2)**2/2
Factor -r**3 - 45*r**2 - 194*r + 240.
-(r - 1)*(r + 6)*(r + 40)
Determine x so that -5*x**2 + 4285*x + 580720 = 0.
-119, 976
Find p, given that -2*p**5/7 - 6*p**4 - 2*p**3 + 522*p**2/7 + 16*p/7 - 480/7 = 0.
-20, -4, -1, 1, 3
Factor f**4 + 971*f**3 - 43162*f**2 + 446644*f + 490776.
(f - 22)**2*(f + 1)*(f + 1014)
Suppose 3*i**2 - 28053*i - 84186 = 0. Calculate i.
-3, 9354
Factor 5*b**3 - 419135*b**2 - 838285*b - 419145.
5*(b - 83829)*(b + 1)**2
Find n such that n**3/10 + 27*n**2/10 - 4*n - 168/5 = 0.
-28, -3, 4
Factor 2*s**2 + 2248*s + 272136.
2*(s + 138)*(s + 986)
Factor 81*m**2/7 + 15959*m/7 + 394/7.
(m + 197)*(81*m + 2)/7
Determine c, given that -6*c**3/11 + 2570*c**2/11 + 4304*c/11 - 1720/11 = 0.
-2, 1/3, 430
Find v, given that -3*v**3/7 - 2311*v**2/7 + 6179*v/7 - 3865/7 = 0.
-773, 1, 5/3
Factor 12482*d**2/3 + 11534*d/3 + 5329/6.
(158*d + 73)**2/6
Factor 4*o**2 - 16536*o + 33056.
4*(o - 4132)*(o - 2)
Factor -3*u**2 - 117*u + 35490.
-3*(u - 91)*(u + 130)
Factor -m**4 + 3730*m**3 - 3481953*m**2 + 6952720*m - 3474496.
-(m - 1864)**2*(m - 1)**2
Factor 2*s**2 + 1750*s - 32148.
2*(s - 18)*(s + 893)
Factor -2*g**3 - 662*g**2 - 19648*g - 153088.
-2*(g + 16)**2*(g + 299)
Factor 2*k**3 - 292*k**2 + 7000*k - 46256.
2*(k - 118)*(k - 14)**2
Factor -q**2/3 - 17246*q/3 - 74356129/3.
-(q + 8623)**2/3
Factor 3*j**2 - 3202410*j + 854619150675.
3*(j - 533735)**2
Factor 2*p**2/15 + 1021972*p/15 - 340658/5.
2*(p - 1)*(p + 510987)/15
Factor -2*y**3/5 + 704*y**2/5 - 5536*y/5 + 11008/5.
-2*(y - 344)*(y - 4)**2/5
What is a in a**5/9 + 1873*a**4/9 + 7480*a**3/9 + 2492*a**2/3 = 0?
-1869, -2, 0
Find i, given that -2*i**4 - 323654*i**3 - 17458759836*i**2 - 313931779981960*i - 313914321545776 = 0.
-53942, -1
Suppose -n**3 - 3356*n**2 - 2819037*n - 5624658 = 0. What is n?
-1677, -2
What is r in -64*r**5 - 480*r**4 - 228*r**3 + 6616*r**2 + 19932*r + 17424 = 0?
-3, -11/4, 4
Factor -2*a**2/13 - 7830*a/13 - 54712/13.
-2*(a + 7)*(a + 3908)/13
Let r**4/9 + 4318*r**3/3 + 51805*r**2/9 + 21584*r/3 + 25900/9 = 0. Calculate r.
-12950, -2, -1
Factor v**3/2 + 3818*v**2/3 + 2545*v/6.
v*(v + 2545)*(3*v + 1)/6
Factor -398*o**3 + 1716*o**2 - 2088*o + 496.
-2*(o - 2)**2*(199*o - 62)
Factor 3*m**3/5 - 2376*m**2/5 + 618048*m/5 - 10513920.
3*(m - 296)**2*(m - 200)/5
Solve -3*b**4/4 + 147*b**3/4 - 1725*b**2/4 + 3021*b/4 - 360 = 0.
1, 15, 32
Factor -4*n**2 - 1840*n - 154956.
-4*(n + 111)*(n + 349)
Factor -3*y**2 - 370350*y - 11429926875.
-3*(y + 61725)**2
Let 55*p**3 - 28390*p**2 + 89805*p - 15390 = 0. Calculate p.
2/11, 3, 513
Factor x**3/4 + 23*x**2/4 - 2686*x - 130628.
(x - 113)*(x + 68)**2/4
Find m such that -8*m**5 - 54*m**4 + 636*m**3 + 2216*m**2 - 7956*m - 6930 = 0.
-11, -5, -3/4, 3, 7
Factor 4*k**4 - 67280*k**3 + 282912400*k**2.
4*k**2*(k - 8410)**2
Factor -d**3 - 3462*d**2 - 2943756*d + 91455480.
-(d - 30)*(d + 1746)**2
Solve 289*h**2 - 122808*h + 13046544 = 0.
3612/17
Solve p**3/2 - 2916*p**2 + 8438541*p/2 + 94240619 = 0.
-22, 2927
Solve 3*u**2 + 214482*u - 214485 = 0.
-71495, 1
Let 48*t**3 + 2399208*t**2 - 1199613*t + 149952 = 0. Calculate t.
-49984, 1/4
Factor -5*b**2/2 - 72745*b/2 + 36375.
-5*(b - 1)*(b + 14550)/2
Determine n so that 2*n**3/7 - 176*n**2/7 - 1066*n/7 + 30360/7 = 0.
-15, 11, 92
Suppose -3*j**5 + 2601*j**4 + 193539*j**3 + 3042987*j**2 - 14577408*j + 15393036 = 0. What is j?
-37, 2, 937
Factor -2*h**2 - 8842*h + 115284.
-2*(h - 13)*(h + 4434)
Let 2*k**3 + 4342*k**2 - 240410*k - 244750 = 0. Calculate k.
-2225, -1, 55
Suppose -4*i**2 + 50592*i - 159971904 = 0. What is i?
6324
Factor 2*p**3 - 16*p**2 - 1702*p + 1716.
2*(p - 33)*(p - 1)*(p + 26)
Solve -2*a**3/21 - 5288*a**2/21 + 2*a/21 + 5288/21 = 0 for a.
-2644, -1, 1
Determine m so that -m**3 - 417*m**2 + 2124*m + 5908 = 0.
-422, -2, 7
Find x such that 2*x**3 + 6476*x**2 + 595490*x + 13890192 = 0.
-3144, -47
Factor -v**2 - 103904*v.
-v*(v + 103904)
Suppose -2*p**5 - 50*p**4 - 168*p**3 = 0. What is p?
-21, -4, 0
Suppose o**3/3 - 212*o**2 + 38220*o - 1382976 = 0. Calculate o.
48, 294
Factor 8924045045*p**2 - 1689880*p + 80.
5*(42247*p - 4)**2
Factor -2*g**2 - 14678*g - 248948.
-2*(g + 17)*(g + 7322)
Factor 125*c**3 - 9150*c**2 + 165600*c + 67712.
(5*c - 184)**2*(5*c + 2)
Let 3*b**4 + 2853*b**3 - 5715*b**2 + 2859*b = 0. Calculate b.
-953, 0, 1
Determine r so that r**3 + 34453*r**2 - 172290*r = 0.
-34458, 0, 5
Solve -3*k**5/4 - 207*k**4/4 - 2667*k**3/4 - 13293*k**2/4 - 13515*k/2 - 4050 = 0.
-54, -5, -4, -1
What is y in y**5/4 + 35*y**4/2 + 343*y**3/2 + 557*y**2 + 2673*y/4 + 531/2 = 0?
-59, -6, -3, -1
Find n, given that -2*n**2/7 + 3132*n/7 = 0.
0, 1566
Let 4*u**2 - 6072*u - 1245132 = 0. What is u?
-183, 1701
Suppose -2*l**2/3 - 125108*l/3 - 1956501458/3 = 0. What is l?
-31277
Factor 2*p**3 - 1102*p**2 + 31198*p + 32302.
2*(p - 521)*(p - 31)*(p + 1)
What is d in 5*d**3 - 176415*d**2 = 0?
0, 35283
What is n in 5*n**4 + 2410*n**3 + 109105*n**2 - 344260*n + 232740 = 0?
-431, -54, 1, 2
Find p such that 35*p**5 + 520*p**4 + 2130*p**3 + 1400*p**2 - 245*p = 0.
-7, -1, 0, 1/7
Solve -3*u**4/5 + 13479*u**3/5 - 4060503*u**2 + 10422685821*u/5 - 257500867182/5 = 0 for u.
26, 1489
Let -4*z**5/5 - 732*z**4/5 + 13672*z**3/5 + 2880*z**2 = 0. What is z?
-200, -1, 0, 18
Solve 3*o**5 + 87*o**4/4 + 171*o**3/4 - 51*o**2/2 - 159*o - 126 = 0.
-3, -2, 7/4
Factor 4*b**4/5 + 3444*b**3/5 + 20184*b**2 + 200240*b + 664800.
4*(b + 10)**3*(b + 831)/5
Suppose -2*x**5 + 356*x**4 + 6896*x**3 + 31396*x**2 - 6894*x - 31752 = 0. What is x?
-9, -1, 1, 196
Solve -2*n**4 - 42*n**3 + 176*n**2 + 792*n + 576 = 0 for n.
-24, -2, -1, 6
Suppose -495*m**3 + 18280*m**2 - 158555*m - 191330 = 0. Calculate m.
-106/99, 19
Factor 4*d**3 + 8320*d**2 + 115892*d + 404936.
4*(d + 7)**2*(d + 2066)
Determine x so that 2*x**2/7 + 68280*x/7 - 136568/7 = 0.
-34142, 2
Factor 3*f**3 - 157659*f**2 + 630597*f - 472941.
3*(f - 52549)*(f - 3)*(f - 1)
Suppose 35*l**3 - 177895*l**2 - 4340710*l - 1225680 = 0. Calculate l.
-24, -2/7, 5107
Find j, given that -32*j**5 + 3636*j**4 - 26356*j**3 + 52532*j**2 - 40380*j + 10600 = 0.
5/8, 1, 5, 106
Factor w**2/4 - 41*w/4 + 102.
(w - 24)*(w - 17)/4
Factor -3*w**3 - 2901*w**2 - 11520*w + 34668.
-3*(w - 2)*(w + 6)*(w + 963)
Factor -4*t**3 - 388*t**2 + 37636*t + 3650692.
-4*(t - 97)*(t + 97)**2
What is k in 5*k**5 - 330*k**4 + 3365*k**3 + 22680*k**2 + 39380*k + 20400 = 0?
-2, -1, 20, 51
Find j, given that 2*j**3 - 2090*j**2 + 28958*j - 92790 = 0.
5, 9, 1031
Let -2*q**2/7 - 222*q/7 - 3196/7 = 0. What is q?
-94, -17
Solve -3*u**4 - 2544*u**3 - 573525*u**2 - 14403300*u - 57994500 = 0.
-410, -23, -5
Let -3*x**4 - 95*x**3 - 649*x**2 + 1007*x - 260 = 0. What is x?
-20, -13, 1/3, 1
Let -p**4/6 + 149*p**3/6 + 7883*p**2/3 - 16060*p/3 = 0. Calculate p.
-73, 0, 2, 220
What is j in 2*j**4/15 - 1256*j**3/15 - 1778*j**2/3 = 0?
-7, 0, 635
Suppose 4*b**2 - 11908*b - 23832 = 0. What is b?
-2, 2979
Solve x**3/3 + 1981*x**2 + 130283*x/3 + 41447 = 0 for x.
-5921, -21, -1
Factor 2*k**4/3 - 18068*k**3/3 + 36128*k**2/3.
2*k**2*(k - 9032)*(k - 2)/3
Solve 2*w**4/7 - 116*w**3/7 + 2130*w**2/7 - 13672*w/7 + 19720/7 = 0.
2, 10, 17, 29
Factor -2*i**2/5 - 1744628*i/5 - 380465857298/5.
-2*(i + 436157)**2/5
Solve -5