24)
Determine i, given that i**3 - 302*i**2 + 3416*i + 18560 = 0.
-4, 16, 290
What is t in -162*t**3 + 30615*t**2 + 62451*t + 1146 = 0?
-2, -1/54, 191
Factor -8*r**2 + 258716*r + 129360.
-4*(r - 32340)*(2*r + 1)
Determine b so that -b**2/10 - 68*b/5 - 819/2 = 0.
-91, -45
Let 3*s**5/2 - 507*s**4/2 - 11469*s**3/2 + 24447*s**2/2 - 6237*s = 0. Calculate s.
-22, 0, 1, 189
Factor 4*g**2 - 368952*g + 8507848644.
4*(g - 46119)**2
Suppose 2*l**3 + 16038*l**2 = 0. Calculate l.
-8019, 0
Determine t, given that 2*t**5/5 - 2618*t**4/5 - 524*t**3 = 0.
-1, 0, 1310
Factor 2*a**4/19 - 72*a**3/19 - 12390*a**2/19 - 259700*a/19.
2*a*(a - 106)*(a + 35)**2/19
What is l in -1998*l**5 + 2385*l**4 - 267*l**3 - 120*l**2 = 0?
-1/6, 0, 40/111, 1
Factor -x**2/5 + 179*x/5 - 7998/5.
-(x - 93)*(x - 86)/5
Factor -4*y**3/5 + 133*y**2/5 - 1141*y/5 + 1782/5.
-(y - 11)*(y - 2)*(4*y - 81)/5
Factor 2*t**3/9 - 50*t**2/3 + 964*t/9 - 272/3.
2*(t - 68)*(t - 6)*(t - 1)/9
Let -2*a**3/3 + 1600*a**2/9 + 418*a + 1076/9 = 0. Calculate a.
-2, -1/3, 269
Solve q**2/2 - 129*q - 792 = 0.
-6, 264
Find s, given that -s**4 - 44679*s**3/4 + 139679*s**2/2 - 469383*s/4 + 25146 = 0.
-11176, 1/4, 3
Determine a so that 2*a**5 - 806*a**4 - 6528*a**3 - 19664*a**2 - 26272*a - 13152 = 0.
-2, 411
Suppose 2*u**2/5 + 214*u/5 - 17604 = 0. What is u?
-270, 163
Factor 4*w**2 - 123788*w + 123784.
4*(w - 30946)*(w - 1)
Find g, given that -2*g**2 - 7950*g - 820228 = 0.
-3869, -106
Find m, given that m**3/2 + 322*m**2 + 638*m - 2568 = 0.
-642, -4, 2
Factor -2*v**3/7 - 42370*v**2/7 - 224423296*v/7 - 224380928/7.
-2*(v + 1)*(v + 10592)**2/7
Let 7*f**3/5 - 28127*f**2/5 + 5651317*f - 4036081/5 = 0. Calculate f.
1/7, 2009
Let c**2/2 + 15282*c + 116769762 = 0. What is c?
-15282
Factor -f**3/3 - 676*f**2 - 10079*f/3 + 24276.
-(f - 4)*(f + 9)*(f + 2023)/3
Solve -v**2/6 - 24963*v - 1869454107/2 = 0 for v.
-74889
Solve 143*n**3 + 959*n**2/2 + 1039*n/2 + 183 = 0 for n.
-3/2, -1, -122/143
Suppose -w**2/5 - 58*w - 2529/5 = 0. What is w?
-281, -9
Factor -3*k**2 - 2004*k + 4020.
-3*(k - 2)*(k + 670)
Let 4*k**3 + 924*k**2 - 9576*k + 15424 = 0. Calculate k.
-241, 2, 8
Determine u, given that 5*u**4 - 125*u**3/2 - 305*u**2 + 1840*u + 6960 = 0.
-4, 6, 29/2
Determine r so that -2*r**3 + 6278*r**2 + 2*r - 6278 = 0.
-1, 1, 3139
Factor -q**2/2 - 96277*q/2 + 48139.
-(q - 1)*(q + 96278)/2
Solve -3*d**3/5 + 20169*d**2/5 - 4032*d - 40332/5 = 0.
-1, 2, 6722
Factor 4*w**2 - 4244*w - 2367440.
4*(w - 1465)*(w + 404)
Let -2*h**5/5 + 18*h**4/5 + 74*h**3 - 498*h**2 - 15488*h/5 + 37752/5 = 0. What is h?
-11, -6, 2, 11, 13
Determine r so that r**5/9 - 23*r**4/3 - 55*r**3 + 3325*r**2/9 + 1250*r/3 = 0.
-10, -1, 0, 5, 75
Find m such that -4*m**4 + 104*m**3/7 + 247440*m**2/7 - 918944*m/7 - 282752/7 = 0.
-94, -2/7, 4, 94
Factor -x**3/5 - 1548*x**2/5 + 94813*x/5.
-x*(x - 59)*(x + 1607)/5
Let t**2 + 353*t + 7282 = 0. Calculate t.
-331, -22
Factor 5*h**2 - 191650*h + 1836486125.
5*(h - 19165)**2
Factor -3*y**2/2 - 230091*y - 17647289427/2.
-3*(y + 76697)**2/2
What is j in -3*j**4/5 - 168*j**3 - 8874*j**2/5 + 168*j + 8877/5 = 0?
-269, -11, -1, 1
Find l such that 2*l**4 + 884*l**3 + 12960*l**2 + 64300*l + 106750 = 0.
-427, -5
Suppose -24*y**4 - 525*y**3 - 2217*y**2 - 3336*y - 1620 = 0. Calculate y.
-135/8, -2, -1
Suppose -5*k**5 - 1000*k**4 - 61560*k**3 - 852480*k**2 + 17774640*k - 61326720 = 0. Calculate k.
-78, -56, 6
Factor -2*f**3/9 + 32*f**2/9 + 730*f/9 + 232/3.
-2*(f - 29)*(f + 1)*(f + 12)/9
Solve 2*v**3/15 + 3112*v**2/15 = 0 for v.
-1556, 0
Let -5*k**4 - 500*k**3 - 2415*k**2 - 3820*k - 1900 = 0. What is k?
-95, -2, -1
Let -20*f**5 + 204*f**4 - 544*f**3 + 144*f**2 + 576*f = 0. Calculate f.
-4/5, 0, 2, 3, 6
Factor -b**3/5 - 162*b**2/5 - 6299*b/5 - 6138/5.
-(b + 1)*(b + 62)*(b + 99)/5
Let 66*u**4 - 3551*u**3 + 6027*u**2 + 8396*u - 1248 = 0. Calculate u.
-1, 3/22, 8/3, 52
Factor 5*i**3 + 205*i**2 - 490*i - 11760.
5*(i - 8)*(i + 7)*(i + 42)
Factor o**3/2 - 5677*o**2 + 339945*o/2 - 1273950.
(o - 11324)*(o - 15)**2/2
Factor -o**2 + 2381*o - 28428.
-(o - 2369)*(o - 12)
Let 22*x**4/15 + 39130*x**3/3 - 355786*x**2/15 + 124534*x/15 + 2372 = 0. What is x?
-8895, -2/11, 1
Find n such that -n**4 - 1366*n**3 - 29568*n**2 = 0.
-1344, -22, 0
What is w in 2*w**5/15 - 94*w**4/15 + 528*w**3/5 - 11152*w**2/15 + 28448*w/15 - 1568 = 0?
2, 14, 15
Find j such that -4*j**3 + 4*j**2 + 11024*j = 0.
-52, 0, 53
Factor 5*v**5 + 130*v**4 - 10810*v**3 - 460080*v**2 - 4253715*v + 10431990.
5*(v - 53)*(v - 2)*(v + 27)**3
Factor -2*j**3/9 - 4838*j**2/3 - 29020*j/9.
-2*j*(j + 2)*(j + 7255)/9
Factor 5*x**4 - 495*x**3 + 13710*x**2 - 65780*x - 190440.
5*(x - 46)**2*(x - 9)*(x + 2)
What is h in h**4/5 + 59*h**3 - 361*h**2/5 - 19303*h/5 - 18648/5 = 0?
-296, -7, -1, 9
Find d such that -5*d**3/4 - 105*d**2/2 + 5705*d/4 - 2745/2 = 0.
-61, 1, 18
Find m, given that 3*m**4 - 918*m**3 + 70227*m**2 = 0.
0, 153
Factor 2*g**3 + 2022*g**2/7 + 5940*g/7.
2*g*(g + 3)*(7*g + 990)/7
Factor 4*c**3 + 452500*c**2 + 12798849228*c + 89569773468.
4*(c + 7)*(c + 56559)**2
Suppose 3*s**5/2 - 3189*s**4/2 - 3201*s**3/2 + 9573*s**2/2 + 1599*s - 3192 = 0. Calculate s.
-2, -1, 1, 1064
Factor 4*k**2 - 3264*k - 13120.
4*(k - 820)*(k + 4)
Let 2*p**5/3 - 2008*p**4/3 + 50232*p**3 - 874944*p**2 - 4346496*p = 0. Calculate p.
-4, 0, 42, 924
Factor -4*q**2 - 35012*q + 420720.
-4*(q - 12)*(q + 8765)
Let 4*k**3 + 12944*k**2 + 25872*k = 0. Calculate k.
-3234, -2, 0
Let -5*h**3 - 43790*h**2 + 570115*h = 0. Calculate h.
-8771, 0, 13
Factor -b**3 + 11448*b**2 + b - 11448.
-(b - 11448)*(b - 1)*(b + 1)
Solve -g**4/6 - 206*g**3/3 - 6198*g**2 + 542384*g/3 - 3041536/3 = 0.
-218, 8, 16
Determine l so that 3*l**3 + 45870*l**2 - 137631*l + 91758 = 0.
-15293, 1, 2
Factor -b**2/3 - 32686*b - 801280947.
-(b + 49029)**2/3
Let i**4/4 + 1183*i**3/4 + 8920*i**2 - 9216*i = 0. What is i?
-1152, -32, 0, 1
Solve -436*u**3/7 + 100720*u**2/7 + 100228*u/7 - 928/7 = 0 for u.
-1, 1/109, 232
Factor -2*u**2/9 + 361568*u/9 + 241048/3.
-2*(u - 180786)*(u + 2)/9
Factor 3*b**3 + 3903*b**2 + 27150*b - 31056.
3*(b - 1)*(b + 8)*(b + 1294)
Factor 5*r**3/2 - 155*r**2/2 - 725*r/2 + 875/2.
5*(r - 35)*(r - 1)*(r + 5)/2
Solve -135*a**4/2 - 9585*a**3/2 - 111060*a**2 - 843370*a - 268960 = 0.
-82/3, -16, -1/3
What is f in 4*f**3 - 11048*f**2 + 33116*f - 22072 = 0?
1, 2, 2759
Suppose 4*p**5 - 740*p**4 + 5748*p**3 - 14940*p**2 + 12744*p = 0. What is p?
0, 2, 3, 177
Let -z**5 - 113*z**4/4 - 150*z**3 - 1135*z**2/4 - 194*z - 33 = 0. Calculate z.
-22, -3, -2, -1, -1/4
Suppose 3*k**3/4 + 45*k**2 + 87*k = 0. What is k?
-58, -2, 0
Find w such that 21*w**4/2 - 1497*w**3/2 + 8592*w**2 - 2394*w = 0.
0, 2/7, 14, 57
Factor -q**4/3 - 1696*q**3/3 - 882718*q**2/3 - 46248224*q - 2230795083.
-(q + 111)**2*(q + 737)**2/3
Solve 2*s**5/9 + 2330*s**4/9 + 225028*s**3/3 - 2069648*s**2/9 - 6765056*s/9 + 5456896/3 = 0 for s.
-584, -3, 2, 4
Find o such that -2*o**4/11 - 1252*o**3/11 - 95496*o**2/11 - 1903868*o/11 + 2000618/11 = 0.
-541, -43, 1
Suppose 27*g**4/5 + 33147*g**3/5 + 22026*g**2/5 - 73596*g/5 + 29448/5 = 0. Calculate g.
-1227, -2, 2/3
Factor 5*z**2 + 595*z - 23250.
5*(z - 31)*(z + 150)
Factor -o**3/2 + 601*o**2/2 + 2428*o + 4872.
-(o - 609)*(o + 4)**2/2
Let -8*n**4/3 - 22718*n**3/3 - 16079984*n**2/3 + 22909368*n - 5392224 = 0. What is n?
-1422, 1/4, 4
Factor -2*m**3 + 16238*m**2 + 16240*m.
-2*m*(m - 8120)*(m + 1)
Suppose 2*r**5/3 - 338*r**3/3 + 2408*r**2/3 - 1912*r + 4480/3 = 0. Calculate r.
-16, 2, 5, 7
Factor -u**3 + 46*u**2 - 572*u + 968.
-(u - 22)**2*(u - 2)
Factor -4*t**3 + 940*t**2 - 28508*t - 29452.
-4*(t - 199)*(t - 37)*(t + 1)
Factor -4*o**3 - 272708*o**2 + 545428*o - 272716.
-4*(o - 1)**2*(o + 68179)
Let -2*w**3/9 - 158*w**2/9 - 812*w/3 = 0. What is w?
-58, -21, 0
Factor o**3 - 70*o**2 - 369*o - 450.
(o - 75)*(o + 2)*(o + 3)
Factor -4*k**3 + 2464*k**2 - 48080*k + 238400.
-4*(k - 596)*(k - 10)**2
Determine o so that 5*o**2/2 - 36915*o + 272543445/2 = 0.
7383
Factor j**2/3 - 124*j/3 + 800.
(j - 100)*(j - 24)/3
Solve 324*p**5 + 4680*p**4 + 22768*p**3 + 40544*p**2 + 14848*p + 1536 = 0 for p.
-6, -4, -2/9
What is u in 2*u**3 - 1460*u**2 - 14750*u - 37000 = 0?
-5, 740
Factor -3*f**2 - 61221*f + 244932.
-3*(f - 4)*(f + 20411)
Factor -4*m**3 + 512*m**2 - 8444*m - 160160.
-4*(m - 104)*(m - 35)*