 for g.
-6, 2, 13
Factor -4*j**2/5 - 12936*j/5 - 10458756/5.
-4*(j + 1617)**2/5
Factor 2*j**2/3 - 80*j/3 - 7224.
2*(j - 126)*(j + 86)/3
Factor 4*n**2 + 308696*n.
4*n*(n + 77174)
Determine y so that 2*y**5/3 - 32*y**4 + 536*y**3/3 + 5324*y**2 + 13862*y/3 - 10092 = 0.
-9, -2, 1, 29
Factor 2*c**2/9 - 9968*c + 111781152.
2*(c - 22428)**2/9
Factor -3*w**2/8 + 873*w/8 + 4665/2.
-3*(w - 311)*(w + 20)/8
Factor 5*b**3 + 427500*b**2 + 9138239985*b + 18274770010.
5*(b + 2)*(b + 42749)**2
Determine s, given that -3*s**4/7 + 10503*s**3/7 + 52572*s**2/7 + 63108*s/7 = 0.
-3, -2, 0, 3506
Determine l, given that l**3/10 - 11*l**2/10 - 17*l/5 + 52/5 = 0.
-4, 2, 13
Let -s**2/3 - 656*s/3 + 81641/3 = 0. What is s?
-763, 107
Factor -2*d**3/3 - 808*d**2/3 + 6578*d/3 - 5768/3.
-2*(d - 7)*(d - 1)*(d + 412)/3
Factor 5*p**3 + 985*p**2 - 64005*p + 183015.
5*(p - 49)*(p - 3)*(p + 249)
Find q, given that -4*q**5 - 2640*q**4 + 2692*q**3 + 31616*q**2 - 73968*q + 42304 = 0.
-661, -4, 1, 2
Solve -5*k**5/3 - 40*k**4/3 + 365*k**3 + 2810*k**2/3 - 47600*k/3 = 0.
-17, -8, 0, 7, 10
Factor -3*w**2 - 10329*w - 51570.
-3*(w + 5)*(w + 3438)
Suppose 3*c**2 - 42921*c = 0. What is c?
0, 14307
Determine z, given that -z**3 - 1844*z**2 - 3685*z - 1842 = 0.
-1842, -1
Factor 5*x**5 - 220*x**4 - 2890*x**3 - 7300*x**2 - 6835*x - 2200.
5*(x - 55)*(x + 1)**3*(x + 8)
Solve -108*c**5 + 7056*c**4 - 109371*c**3 + 478131*c**2 - 150393*c + 12285 = 0 for c.
1/6, 7, 13, 45
Determine w so that 840280458465*w**4 - 633456810*w**3 + 159180*w**2 - 40*w/3 = 0.
0, 2/7959
Factor -b**4 + 58*b**3 + 5407*b**2 - 302572*b - 1292832.
-(b - 67)**2*(b + 4)*(b + 72)
Solve 2*v**2 - 22222*v - 22224 = 0.
-1, 11112
Let 2*r**5/9 - 52*r**4/9 - 3536*r**3/9 + 52*r**2/9 + 1178*r/3 = 0. What is r?
-31, -1, 0, 1, 57
Find c such that -2*c**2/3 - 27532*c/3 + 55072/3 = 0.
-13768, 2
Solve -2*w**4/7 - 3350*w**3/7 - 1434*w**2 - 10034*w/7 - 3344/7 = 0 for w.
-1672, -1
Solve 4*q**2 + 74480*q - 447024 = 0 for q.
-18626, 6
Factor 2*h**2/5 + 4464*h/5 + 13374/5.
2*(h + 3)*(h + 2229)/5
Factor 2*n**3 + 15626*n**2 + 46864*n + 31240.
2*(n + 1)*(n + 2)*(n + 7810)
Factor 3*r**3 - 411*r**2 - 91392*r.
3*r*(r - 256)*(r + 119)
Factor 81*s**2/5 - 4377*s/5 + 162/5.
3*(s - 54)*(27*s - 1)/5
Factor d**3 - 656494*d**2 - 2625988*d - 2625992.
(d - 656498)*(d + 2)**2
Let -77240*x**2 - 849635*x + 55 = 0. What is x?
-11, 1/15448
Let -628*l**2/11 - 658*l/11 - 30/11 = 0. What is l?
-1, -15/314
What is t in 2*t**4/19 - 52*t**3/19 + 442*t**2/19 - 1232*t/19 = 0?
0, 7, 8, 11
Factor -n**2 + 3028*n - 6052.
-(n - 3026)*(n - 2)
Determine s so that -2*s**4 - 2712*s**3 - 13518*s**2 - 10808*s = 0.
-1351, -4, -1, 0
Find x, given that 51*x**3 - 831*x**2 - 3672*x - 2160 = 0.
-3, -12/17, 20
Suppose 4*x**3/3 - 50488*x**2/3 + 53088128*x + 106243584 = 0. What is x?
-2, 6312
Factor -m**2/5 + 814*m/5 + 819.
-(m - 819)*(m + 5)/5
Suppose -6*t**2/7 + 2466*t/7 - 26400/7 = 0. What is t?
11, 400
Let -2*q**3/13 + 116*q**2/13 + 782*q/13 - 896/13 = 0. Calculate q.
-7, 1, 64
Determine a, given that -120*a**4/19 - 39134*a**3/19 - 6360*a**2 - 12262*a/19 + 204 = 0.
-323, -3, -1/4, 2/15
Factor -3*c**2/8 + 22605*c/4 + 45213/8.
-3*(c - 15071)*(c + 1)/8
Let -s**3/5 + 81*s**2/5 + 2288*s + 114708/5 = 0. Calculate s.
-66, -11, 158
Factor -3*b**4 - 12*b**3 + 1791*b**2 + 5400*b.
-3*b*(b - 24)*(b + 3)*(b + 25)
Factor 14*k**3 - 104*k**2 + 234*k - 144.
2*(k - 3)*(k - 1)*(7*k - 24)
Find y, given that 59*y**5 + 414*y**4 + 4099*y**3/4 + 4317*y**2/4 + 1665*y/4 + 27/4 = 0.
-3, -3/2, -1, -1/59
Let 3*s**5 + 12801*s**4/5 + 43413*s**3/5 + 53583*s**2/5 + 28056*s/5 + 1020 = 0. What is s?
-850, -1, -2/5
Determine q, given that -2*q**4 - 18474*q**3 - 42854400*q**2 - 891813888*q = 0.
-4608, -21, 0
Find w, given that 10*w**5/3 - 70686*w**4 + 1498868330*w**3/3 - 3530633808382*w**2/3 - 1413772770212*w + 5651892952144/3 = 0.
-2, 4/5, 7069
Find g, given that g**2/5 - 674032*g/5 + 113579784256/5 = 0.
337016
Factor k**2 + 591*k + 3510.
(k + 6)*(k + 585)
Factor 4*z**3 + 248224*z**2 - 496476*z - 744696.
4*(z - 3)*(z + 1)*(z + 62058)
Factor 2*z**3/3 + 5420*z**2/3 + 10832*z/3.
2*z*(z + 2)*(z + 2708)/3
Let 8*a**4 + 18*a**3 - 3086*a**2 + 3060*a = 0. Calculate a.
-85/4, 0, 1, 18
Solve -j**4 + 113*j**3/4 + 24*j**2 - 263*j/4 + 29/2 = 0.
-2, 1/4, 1, 29
Factor z**2 - 482*z - 4419.
(z - 491)*(z + 9)
Solve -16*n**4 + 284*n**3 - 1208*n**2 + 1216*n + 384 = 0 for n.
-1/4, 2, 4, 12
Factor 2*l**3/5 + 168*l**2/5 - 3874*l.
2*l*(l - 65)*(l + 149)/5
Determine o so that -4*o**2 - 691184*o - 29858457616 = 0.
-86398
Let -3*w**5/5 - 25449*w**4 - 1349210541*w**3/5 + 1349465037*w**2/5 + 1349210544*w/5 - 1349337792/5 = 0. Calculate w.
-21208, -1, 1
Factor -o**2/2 - 745*o/2 - 372.
-(o + 1)*(o + 744)/2
Suppose -3*x**5 + 545*x**4 - 30454*x**3 + 474426*x**2 + 677369*x + 171941 = 0. Calculate x.
-1, -1/3, 29, 77
Find m such that 63368*m**4/3 - 2387870*m**3/3 - 763192*m**2/3 - 14434*m - 228 = 0.
-1/4, -3/89, 38
Suppose 4*n**4 - 24936*n**3 + 546820*n**2 - 1018848*n + 496960 = 0. Calculate n.
1, 20, 6212
Let 2*h**5/5 - 78*h**4 + 2642*h**3/5 - 1866*h**2/5 - 2644*h/5 + 2256/5 = 0. What is h?
-1, 1, 6, 188
Find k such that 16*k**4 + 124*k**3 + 254*k**2 + 56*k = 0.
-4, -7/2, -1/4, 0
Factor -5*l**2 - 31795*l - 63570.
-5*(l + 2)*(l + 6357)
Factor -t**2 - 57977*t + 231924.
-(t - 4)*(t + 57981)
Let -x**2 + 2443*x - 223060 = 0. What is x?
95, 2348
Solve 2*r**2 + 958*r + 20108 = 0.
-457, -22
Solve 2*f**2/7 - 72*f/7 - 1802/7 = 0 for f.
-17, 53
Let 2*l**3/15 + 38*l**2/5 - 586*l/3 + 770 = 0. What is l?
-77, 5, 15
Factor 75*h**3 - 73320*h**2 + 17919408*h.
3*h*(5*h - 2444)**2
Factor -i**2 + 3153*i - 3152.
-(i - 3152)*(i - 1)
Solve -2*d**5/3 + 898*d**4/3 + 10116*d**3 + 211076*d**2/3 - 652426*d/3 - 278018 = 0.
-17, -1, 3, 481
Let 16*i**4/9 - 346*i**3/9 - 910*i**2/9 - 68*i/9 + 160/3 = 0. Calculate i.
-2, -1, 5/8, 24
Factor -220*g**2/9 + 1098692*g/9 - 19976/3.
-4*(g - 4994)*(55*g - 3)/9
Factor -w**2 - 24108*w - 24107.
-(w + 1)*(w + 24107)
Solve 5*v**4 + 540*v**3 + 10980*v**2 + 77600*v + 168000 = 0.
-84, -10, -4
What is l in -2*l**4/17 - 1688*l**3/17 + 18762*l**2/17 - 41040*l/17 = 0?
-855, 0, 3, 8
Determine k, given that -56*k**3/3 - 93*k**2 + 5*k/3 = 0.
-5, 0, 1/56
Determine x so that -5*x**2 + 84045*x - 672040 = 0.
8, 16801
Let -2*p**3 - 104*p**2 - 1274*p + 1380 = 0. Calculate p.
-30, -23, 1
Find j such that 6*j**3/7 - 150*j**2/7 - 2796*j/7 + 7440 = 0.
-20, 14, 31
Solve -2*j**2 - 46*j + 576 = 0 for j.
-32, 9
Solve -2*w**2/3 + 4498*w/3 - 4496/3 = 0.
1, 2248
Factor 4*a**5 - 676*a**4 - 692*a**3 + 2020*a**2 + 3392*a + 1360.
4*(a - 170)*(a - 2)*(a + 1)**3
Let 2*d**3/7 - 1142*d**2 - 12600*d + 96192/7 = 0. What is d?
-12, 1, 4008
Let g**3/8 - 12*g**2 - 434*g = 0. Calculate g.
-28, 0, 124
What is y in -3*y**3 - 219*y**2 - 3336*y - 3120 = 0?
-52, -20, -1
Find z, given that -3*z**5/4 + 5*z**4/2 + 1197*z**3/2 - 4666*z**2 - 14295*z/4 + 3375/2 = 0.
-30, -1, 1/3, 9, 25
What is i in 2*i**3/11 + 1028*i**2/11 - 282*i = 0?
-517, 0, 3
Factor -2*z**3/19 + 316*z**2 + 6006*z/19.
-2*z*(z - 3003)*(z + 1)/19
Determine b so that -5*b**5 + 51*b**4/2 + 1885*b**3/2 - 6039*b**2/2 + 585*b/2 = 0.
-13, 0, 1/10, 3, 15
Solve -432*g**3 - 11204*g**2 + 3152*g + 8484 = 0 for g.
-707/27, -3/4, 1
What is n in -n**3/5 + 2957*n**2/5 - 5907*n/5 - 1773 = 0?
-1, 3, 2955
Solve -3*h**2/5 + 112083*h/5 - 134478 = 0 for h.
6, 37355
Suppose 2*u**2 - 223896*u + 6266177352 = 0. Calculate u.
55974
Solve 2*y**4/5 - 308948*y**3/5 + 926832*y**2/5 - 926828*y/5 + 308942/5 = 0.
1, 154471
Let 3*l**2 - 11451*l + 984456 = 0. What is l?
88, 3729
Factor -y**3 + 288*y**2 - 4607*y.
-y*(y - 271)*(y - 17)
Factor 5*t**2 - 4865*t + 81260.
5*(t - 956)*(t - 17)
Determine z, given that -3*z**2/7 + 964206*z/7 - 77474434203/7 = 0.
160701
Suppose 3*n**5/4 - 99*n**4/4 + 1119*n**3/4 - 5157*n**2/4 + 4839*n/2 - 1386 = 0. Calculate n.
1, 3, 4, 11, 14
Solve b**5/7 - 13*b**4/7 - 10*b**3 + 22*b**2/7 + 213*b/7 - 153/7 = 0 for b.
-3, 1, 17
Factor -10*d**3 + 1174*d**2 - 6774*d + 10026.
-2*(d - 3)**2*(5*d - 557)
Factor -g**2/8 - 65*g/4 + 102.
-(g - 6)*(g + 136)/8
Factor -3*c**3/4 - 13905*c**2/2 - 55611*c/4 - 6951.
-3*(c + 1)**2*(c + 9268)/4
Let y**2/2 - 91*y + 1557/2 = 0. What is y?
9, 173
What is k in k**5 - 5457*k**4 + 7452893*k**3 - 22320495*k**2 + 14873058*k = 0?
0