ven that b**4/2 + 21*b**3 - 349*b**2/2 - 1431*b + 1584 = 0.
-48, -6, 1, 11
Factor -q**2 - 3909*q + 15652.
-(q - 4)*(q + 3913)
Suppose o**2/4 - 4005*o/4 + 12974 = 0. What is o?
13, 3992
Find z, given that -2*z**3/17 - 1608*z**2/17 + 5350*z + 92556/17 = 0.
-857, -1, 54
Factor k**3/10 + 12333*k**2/10 - 24672*k/5 + 24674/5.
(k - 2)**2*(k + 12337)/10
Suppose n**3/10 - 21*n**2/10 + 18*n/5 + 272/5 = 0. What is n?
-4, 8, 17
Factor x**3/9 - 610*x**2/9 - 23416*x/9 + 103360/9.
(x - 646)*(x - 4)*(x + 40)/9
Solve -1135*k**4 + 2360*k**3 - 180*k**2 = 0.
0, 18/227, 2
Determine o, given that -2*o**2 + 6186*o - 208012 = 0.
34, 3059
Find q such that -3*q**4 - 26019*q**3 - 233952*q**2 - 207936*q = 0.
-8664, -8, -1, 0
Determine o so that -2*o**5/13 + 15830*o**4/13 + 95044*o**3/13 + 63380*o**2/13 - 95042*o/13 - 79210/13 = 0.
-5, -1, 1, 7921
Let -4*t**2 + 1632*t - 31040 = 0. What is t?
20, 388
Factor 5*u**3 + 5090*u**2 + 1459205*u + 80542440.
5*(u + 72)*(u + 473)**2
Factor 3*p**3 - 696*p**2 + 17823*p - 32886.
3*(p - 203)*(p - 27)*(p - 2)
Find o such that 7*o**4/3 - 2174*o**3/3 + 55745*o**2 + 80808*o + 24336 = 0.
-1, -3/7, 156
Determine l so that 2*l**2/15 + 4888*l/5 - 44046/5 = 0.
-7341, 9
Suppose 2*m**2/3 + 140108*m = 0. Calculate m.
-210162, 0
Factor -2*y**2 + 29422*y - 29420.
-2*(y - 14710)*(y - 1)
Solve -3*r**3 + 249*r**2 + 1320*r = 0.
-5, 0, 88
Factor l**2 + 180358*l + 8132252041.
(l + 90179)**2
Solve -2*r**4 - 10974*r**3 + 10996*r**2 + 109776*r + 87808 = 0.
-5488, -2, -1, 4
Determine m, given that m**4/4 - 107*m**3/4 + 401*m**2/4 + 1127*m/4 + 309/2 = 0.
-1, 6, 103
Factor -5*a**3 + 933910*a**2 - 43608460480*a - 87220656640.
-5*(a - 93392)**2*(a + 2)
Factor -5*g**3 - 1165*g**2 + 33805*g + 34965.
-5*(g - 27)*(g + 1)*(g + 259)
Let -225*v**3/2 + 35295*v**2 + 9418*v + 628 = 0. What is v?
-2/15, 314
Solve -4*d**5 - 12*d**4 + 116*d**3 - 36*d**2 - 400*d + 336 = 0 for d.
-7, -2, 1, 2, 3
Factor 2*d**2 - 307*d + 755.
(d - 151)*(2*d - 5)
Let m**4/4 - 79*m**3/2 + 1792*m**2 - 16992*m - 41472 = 0. What is m?
-2, 16, 72
Factor 2*g**3/7 + 862*g**2/7 + 1210*g + 21050/7.
2*(g + 5)**2*(g + 421)/7
Suppose 2*g**2/15 - 206*g/3 + 3036/5 = 0. Calculate g.
9, 506
Factor -5*w**2/4 + 13975*w/4 + 49035/2.
-5*(w - 2802)*(w + 7)/4
Factor -3*x**2 + 465*x - 10668.
-3*(x - 127)*(x - 28)
Find f such that -2*f**3/5 + 6162*f**2/5 + 6164*f/5 = 0.
-1, 0, 3082
Factor v**4 + 75*v**3 + 482*v**2 + 408*v.
v*(v + 1)*(v + 6)*(v + 68)
Determine y so that -y**5/7 + 746*y**4/7 + 74644*y**3/7 + 497002*y**2/7 + 1047597*y/7 + 624492/7 = 0.
-83, -3, -1, 836
Determine b, given that -2*b**3 - 2*b**2 + 68*b - 112 = 0.
-7, 2, 4
Suppose 387*d**3 + 3481*d**2 - 27108*d + 140 = 0. Calculate d.
-14, 2/387, 5
Solve -h**2/5 - 5638*h/5 - 7946761/5 = 0 for h.
-2819
Factor u**4 - 45540*u**3 + 182148*u**2 - 182144*u.
u*(u - 45536)*(u - 2)**2
Let 2*y**3 + 11720*y**2 - 93856*y + 187776 = 0. What is y?
-5868, 4
What is j in j**3/2 - 600*j**2 + 7114*j + 16632 = 0?
-2, 14, 1188
Factor 6*u**2/5 + 666*u/5 + 10044/5.
6*(u + 18)*(u + 93)/5
Determine u so that 2*u**5/5 + 4*u**4/5 - 6*u**3/5 = 0.
-3, 0, 1
Factor 2*w**3/15 - 16822*w**2/15 - 6730*w/3 - 16826/15.
2*(w - 8413)*(w + 1)**2/15
Factor 3*r**3 + 23166*r**2 + 45318195*r + 2294327100.
3*(r + 52)*(r + 3835)**2
Find g such that g**2/5 - 8069*g/5 = 0.
0, 8069
Factor -2*o**2/7 - 62*o + 3108.
-2*(o - 42)*(o + 259)/7
Determine l so that -l**2 - 163*l - 1092 = 0.
-156, -7
Factor -4*s**4 + 248*s**3 - 3968*s**2 + 12160*s.
-4*s*(s - 38)*(s - 20)*(s - 4)
Suppose 2*c**3 - 5084*c**2 = 0. What is c?
0, 2542
Factor -j**4 + 28*j**3 - 173*j**2 + 266*j - 120.
-(j - 20)*(j - 6)*(j - 1)**2
Determine w so that 2*w**3/9 - 131156*w**2/9 + 716701960*w/3 + 477859600 = 0.
-2, 32790
Find z such that -z**3 + 57*z**2 - 432*z = 0.
0, 9, 48
Factor 2*h**3/9 + 8236*h**2/9 + 8503616*h/9 + 16908544/3.
2*(h + 6)*(h + 2056)**2/9
Solve -2*i**5 - 40*i**4 + 2380*i**3 - 22880*i**2 - 1210*i + 521752 = 0.
-49, -4, 11
What is y in -y**2 + 162*y + 163 = 0?
-1, 163
Suppose d**5/3 - 4*d**4 + 25*d**3/3 + 22*d**2 - 80*d/3 = 0. What is d?
-2, 0, 1, 5, 8
Factor -4*q**2/5 + 72296*q/5 + 14460.
-4*(q - 18075)*(q + 1)/5
Find s such that -2*s**5 + 1582*s**4 - 4726*s**3 - 1582*s**2 + 4728*s = 0.
-1, 0, 1, 3, 788
Let l**2/2 + 1047271*l + 1096776547441/2 = 0. Calculate l.
-1047271
Suppose 21*g**5 - 2238*g**4 - 15549*g**3 + 33006*g**2 + 24600*g - 21696 = 0. What is g?
-8, -1, 4/7, 2, 113
Factor -2*q**3/7 - 26634*q**2 - 4344984198*q/7 - 4344797762/7.
-2*(q + 1)*(q + 46609)**2/7
Factor -2*y**2/3 + 490912*y/3 + 163638.
-2*(y - 245457)*(y + 1)/3
Factor l**2/7 + 14394*l/7 + 51796809/7.
(l + 7197)**2/7
Find r such that -4*r**4/7 - 512*r**3/7 - 3316*r**2/7 + 8712*r/7 = 0.
-121, -9, 0, 2
Determine h so that -4*h**3/5 - 5408*h**2/5 + 16252*h/5 - 2168 = 0.
-1355, 1, 2
Factor -f**2 + 8318*f.
-f*(f - 8318)
Find t, given that -2*t**3 + 10*t**2 + 226*t - 234 = 0.
-9, 1, 13
Solve 4*u**2 + 17620*u + 974176 = 0 for u.
-4349, -56
Factor 39*c**2 + 5310*c + 816.
3*(c + 136)*(13*c + 2)
Factor -2*p**3/3 + 130*p**2/3 + 394*p/3 - 2814.
-2*(p - 67)*(p - 7)*(p + 9)/3
Suppose 5*d**2 - 78030*d + 156040 = 0. What is d?
2, 15604
Let -d**2/4 + 218*d - 52455/4 = 0. Calculate d.
65, 807
Suppose -5*r**5 - 4375*r**4 - 356715*r**3 + 4375*r**2 + 356720*r = 0. Calculate r.
-784, -91, -1, 0, 1
Suppose t**5/2 + 97*t**4/2 + 437*t**3 + 90*t**2 - 7452*t - 12528 = 0. Calculate t.
-87, -6, -2, 4
Suppose -3*m**3 + 738*m**2 + 3*m - 738 = 0. What is m?
-1, 1, 246
Factor 1407*b**2/8 - 1411*b/8 + 1/2.
(b - 1)*(1407*b - 4)/8
Find u such that 5*u**4 + 85*u**3 - 5705*u**2 + 26315*u - 20700 = 0.
-45, 1, 4, 23
Find o, given that -196*o**4/3 + 5936*o**3/3 - 17560*o**2/3 + 1552*o - 108 = 0.
1/7, 3, 27
Solve -2*i**3/9 + 322*i**2/9 - 2752*i/9 + 2432/9 = 0.
1, 8, 152
Suppose -4*s**3 + 56616*s**2 - 113220*s + 56608 = 0. Calculate s.
1, 14152
Determine i, given that -i**2/3 - 617*i/3 - 4270/3 = 0.
-610, -7
Factor 3*s**3 + 2631*s**2 + 516120*s - 27296400.
3*(s - 43)*(s + 460)**2
Let -2*o**3 - 38*o**2 + 300*o = 0. What is o?
-25, 0, 6
Factor -2*q**3/9 + 106*q**2/9 - 664*q/9 + 920/9.
-2*(q - 46)*(q - 5)*(q - 2)/9
Factor 3*v**4 + 2007*v**3 + 7965*v**2 - 9975*v.
3*v*(v - 1)*(v + 5)*(v + 665)
Factor -3*r**3 - 2139*r**2 - 25152*r + 58884.
-3*(r - 2)*(r + 14)*(r + 701)
Factor -a**3 + 1278*a**2 - 120300*a + 2945000.
-(a - 1178)*(a - 50)**2
Let -9*i**2 - 2310414*i - 1540272 = 0. Calculate i.
-256712, -2/3
Determine l, given that -l**2 - 95*l - 2250 = 0.
-50, -45
Factor -h**3 - 2881*h**2 - 11503*h + 14385.
-(h - 1)*(h + 5)*(h + 2877)
Solve -3*j**2 - 82653*j - 413190 = 0.
-27546, -5
Determine n, given that n**4/3 - 259*n**3/3 - 874*n**2/3 + 23056*n/3 = 0.
-11, 0, 8, 262
Find m, given that 58*m**3 - 3440*m**2 + 1022*m + 2360 = 0.
-20/29, 1, 59
Let 2*t**5/9 - 448*t**4 + 224882*t**3 + 8367020*t**2/9 - 34804600*t/3 + 20402000 = 0. Calculate t.
-10, 3, 1010
Factor 4*j**2 + 12252360*j + 9382520348100.
4*(j + 1531545)**2
Determine b so that -3*b**3 + 59202*b**2 + 296067*b + 355302 = 0.
-3, -2, 19739
Find z such that 5*z**5 + 125*z**4 - 1785*z**3 + 6775*z**2 - 8720*z + 3600 = 0.
-36, 1, 4, 5
Factor -2*f**3/7 + 732*f**2/7 + 6002*f/7 - 6732/7.
-2*(f - 374)*(f - 1)*(f + 9)/7
Solve 4*y**5 + 12*y**4 - 1300*y**3 - 8508*y**2 + 25632*y + 32832 = 0 for y.
-12, -1, 3, 19
Factor -3*i**3 - 2052225*i**2 - 350969980329*i - 350967928107.
-3*(i + 1)*(i + 342037)**2
Find s such that 42*s**5 + 1363*s**4 + 6686*s**3 - 5893*s**2 - 2198*s = 0.
-157/6, -7, -2/7, 0, 1
Find a, given that -94*a**2/17 - 5886*a/17 + 2268/17 = 0.
-63, 18/47
Factor 3*x**2/2 + 2064*x - 4131/2.
3*(x - 1)*(x + 1377)/2
Find n, given that n**3/6 + 49888*n**2/3 + 1244406272*n/3 = 0.
-49888, 0
Find k such that -3*k**3/2 - 1476*k**2 + 35823*k/2 - 16434 = 0.
-996, 1, 11
Factor v**2 + 203964*v + 10400328324.
(v + 101982)**2
Solve -5*a**5 + 133*a**4 - 523*a**3 + 347*a**2 + 612*a - 396 = 0.
-1, 3/5, 2, 3, 22
What is u in 5*u**5/6 - 1795*u**4 + 128545*u**3/6 - 8870*u**2 - 117810*u = 0?
-2, 0, 3, 11, 2142
Factor -100*r**4/3 - 8020*r**3/3 - 53867*r**2 - 32080*r/3 - 1600/3.
-(r + 40)**2*(10*r + 1)**2/3
Solve 2*x**5/9 + 682*x**4/3 + 4084*x**3/9 - 4*x**2/9 - 454*x - 2042/9 = 0 for x.
-1021, -1, 1
Determine c so that c**3/8 + 12751*c**2/8 + 40704319*c/8 + 365306769/8 = 0.
-6371, -9