. Calculate j.
-1, -1/7, 1/2, 5
Factor 32*i**3/3 - 240*i**2 + 1350*i.
2*i*(4*i - 45)**2/3
Factor 3*i**4/4 - 33681*i**3/2 + 134715*i**2/4 - 16839*i.
3*i*(i - 22452)*(i - 1)**2/4
Let 9*d**5/2 - 75*d**4 - 792*d**3 - 225*d**2 + 11175*d/2 - 4500 = 0. What is d?
-5, 1, 5/3, 24
Factor -4*a**5 - 8*a**4 + 32*a**3 + 64*a**2 - 64*a - 128.
-4*(a - 2)**2*(a + 2)**3
Factor -2*y**4/9 + 196*y**3/9 - 4994*y**2/9 + 3136*y/3 - 512.
-2*(y - 48)**2*(y - 1)**2/9
Suppose 197192*r**2 + 287624*r + 104882 = 0. What is r?
-229/314
Find q, given that -2*q**2/7 + 125326*q/7 + 626680/7 = 0.
-5, 62668
Factor x**2 + 595374*x + 88617549969.
(x + 297687)**2
Factor 2*a**3 + 21010*a**2 + 84008*a.
2*a*(a + 4)*(a + 10501)
Find y, given that 2*y**2/7 - 1600864*y/7 - 1600866/7 = 0.
-1, 800433
Find o, given that 25*o**5/6 + 160*o**4/3 - 145*o**3/6 - 490*o**2/3 + 130*o = 0.
-13, -2, 0, 1, 6/5
Factor -f**3/4 + 13*f**2/2 + 310*f - 4928.
-(f - 44)*(f - 14)*(f + 32)/4
Determine r, given that 3*r**5/2 + 699*r**4/4 + 14133*r**3/4 + 9483*r**2/2 - 3276*r = 0.
-91, -24, -2, 0, 1/2
Factor 5*g**2 - 80340*g + 80335.
5*(g - 16067)*(g - 1)
Solve 2*m**2/3 + 25204*m/3 + 79405202/3 = 0 for m.
-6301
Factor 3*b**2/4 - 3*b/2 - 11529/4.
3*(b - 63)*(b + 61)/4
Factor 2*j**2/5 + 11768*j/5 + 246246/5.
2*(j + 21)*(j + 5863)/5
Find m such that 48*m**5/5 + 808*m**4/5 - 1017*m**3 + 8072*m**2/5 - 2061*m/5 - 1782/5 = 0.
-22, -1/3, 1, 9/4
Solve -4*j**4 - 806*j**3/9 - 3418*j**2/9 - 5152*j/9 - 2504/9 = 0 for j.
-313/18, -2, -1
Factor 3*l**2/8 - 639*l/4 + 8799/8.
3*(l - 419)*(l - 7)/8
Let 2*w**2/5 - 3727344*w/5 + 1736636661792/5 = 0. What is w?
931836
Solve 3*m**4/5 - 36*m**3 + 3804*m**2/5 - 31968*m/5 + 15552 = 0 for m.
4, 18, 20
Find o, given that 10*o**3 + 40956*o**2 - 122958*o = 0.
-20493/5, 0, 3
Factor 27*r**3/2 - 1713*r**2/2 - 47320*r/3 - 193550/3.
(r - 79)*(9*r + 70)**2/6
Find s such that s**3/4 + 797*s**2/4 + 397*s/2 - 398 = 0.
-796, -2, 1
Determine z, given that 2*z**2/13 - 478024*z/13 + 28563368072/13 = 0.
119506
Find j, given that -4*j**2 - 1928*j + 252092 = 0.
-589, 107
Solve 4*r**3 + 1080*r**2 + 5324*r + 6360 = 0.
-265, -3, -2
Determine z so that z**2 + 12*z + 36 = 0.
-6
Let 3*i**3 - 378312*i**2 + 11926285791*i + 23854084854 = 0. Calculate i.
-2, 63053
What is u in 4*u**5/9 - 160*u**4/9 + 788*u**3/9 + 11320*u**2/9 + 3376*u + 2720 = 0?
-3, -2, 17, 30
Determine d so that -7*d**3/3 + 1564*d**2/3 + 12215*d/3 + 2156 = 0.
-7, -4/7, 231
Determine y so that 5*y**2 + 48765*y + 341110 = 0.
-9746, -7
Factor -z**2/6 + 100*z/3 - 3848/3.
-(z - 148)*(z - 52)/6
Factor -3*t**2 + 54618*t - 248593827.
-3*(t - 9103)**2
Find d such that 2*d**2/3 - 17072*d/3 + 36431648/3 = 0.
4268
Find t, given that t**5 - 5*t**4 + 3*t**3 + 13*t**2 - 8*t - 12 = 0.
-1, 2, 3
Factor -88*z**2/5 - 391*z - 418/5.
-(z + 22)*(88*z + 19)/5
Factor -2*j**3 + 58*j**2 - 510*j + 1350.
-2*(j - 15)*(j - 9)*(j - 5)
Find s such that -17*s**5/3 - 4*s**4 + 496*s**3/3 + 64*s**2 - 3584*s/3 = 0.
-4, 0, 56/17, 4
Determine o, given that 3*o**3 + 522*o**2 + 2025*o - 2550 = 0.
-170, -5, 1
Find l, given that l**2/5 - 2184*l/5 - 2189 = 0.
-5, 2189
Find u such that -5*u**3/6 + 25*u**2/6 + 235*u/2 + 225/2 = 0.
-9, -1, 15
Determine b, given that 5*b**3 + 813880*b**2 - 3255580*b + 3255600 = 0.
-162780, 2
Factor -2*r**2/19 + 970*r/19 + 7888/19.
-2*(r - 493)*(r + 8)/19
What is k in 3*k**2/4 + 8310*k + 23018700 = 0?
-5540
Let 4*s**5 - 136*s**4 - 764*s**3 - 624*s**2 = 0. Calculate s.
-4, -1, 0, 39
What is i in -5*i**5 - 2300*i**4 - 24890*i**3 - 87780*i**2 - 101025*i = 0?
-449, -5, -3, 0
Determine b so that -3*b**3/2 + 19197*b**2 - 38388*b = 0.
0, 2, 12796
Determine f, given that f**4 - 78546*f**3 + 1542447073*f**2 - 3084658512*f + 1542289984 = 0.
1, 39272
Factor d**3/10 - 251*d**2/10 - 205*d/2 + 255/2.
(d - 255)*(d - 1)*(d + 5)/10
Let -v**4/6 + 7*v**3/2 - 25*v**2 + 208*v/3 - 64 = 0. Calculate v.
2, 3, 8
Factor -2436*x**2 - 14614*x + 12.
-2*(x + 6)*(1218*x - 1)
Let -p**5 - 59*p**4 - 156*p**3 + 724*p**2 + 2960*p + 2688 = 0. What is p?
-56, -3, -2, 4
Suppose -5*a**3 - 730*a**2 - 4775*a + 12510 = 0. What is a?
-139, -9, 2
Determine w so that -5*w**2 + 1448200*w - 104864162000 = 0.
144820
Find v such that 2*v**2 - 2390*v + 18992 = 0.
8, 1187
Determine l so that l**3/12 + 11126*l**2/3 + 44501*l/3 + 44500/3 = 0.
-44500, -2
Factor -z**2/4 + 245*z - 47925.
-(z - 710)*(z - 270)/4
Factor -x**4/7 - 185*x**3/7 - 6786*x**2/7 + 419796*x/7 + 3321864.
-(x - 49)*(x + 78)**3/7
Solve g**5/3 + 47*g**4 + 823*g**3/3 + 589*g**2 + 1624*g/3 + 180 = 0 for g.
-135, -2, -1
Factor 4*q**2 + 280744*q - 561504.
4*(q - 2)*(q + 70188)
Factor -2*o**5/11 + 11552*o**4/11 + 69840*o**3 + 1540352*o**2 + 11310112*o.
-2*o*(o - 5842)*(o + 22)**3/11
Factor 3*v**3 + 1761*v**2.
3*v**2*(v + 587)
Solve 722*w**5/7 + 16112*w**4/7 - 159582*w**3/7 + 208332*w**2/7 + 77976*w/7 + 6480/7 = 0.
-30, -3/19, 2, 6
Find m, given that 2*m**5/5 + 1544*m**4/5 + 6134*m**3/5 - 1536*m**2 = 0.
-768, -5, 0, 1
Let -v**5/4 - 430*v**4 - 245809*v**3 - 92562925*v**2/2 + 964433125*v/4 + 1330765625/2 = 0. What is v?
-575, -2, 7
Factor -5*u**4 - 900*u**3 - 37690*u**2 + 254820*u - 216225.
-5*(u - 5)*(u - 1)*(u + 93)**2
Solve x**5/3 + 13273*x**4/3 + 14683256*x**3 + 14678832*x**2 = 0 for x.
-6636, -1, 0
What is o in o**4 + 102*o**3 + 396*o**2 - 130680*o = 0?
-66, 0, 30
Factor -5*p**2 - 3131170*p - 490211278445.
-5*(p + 313117)**2
Let 475*j**3 - 1885*j**2 + 1365*j + 45 = 0. Calculate j.
-3/95, 1, 3
Find h such that 3*h**2/4 + 303741*h/2 + 303738 = 0.
-202492, -2
Let -3*f**3 - 45760*f**2 - 174482879*f + 116342258 = 0. What is f?
-7627, 2/3
Find k such that 5*k**3 + 630*k**2 + 3625*k + 3000 = 0.
-120, -5, -1
Factor -2*w**2/7 - 866*w/7 + 4380/7.
-2*(w - 5)*(w + 438)/7
Factor 57*j**2 + 207*j - 84.
3*(j + 4)*(19*j - 7)
Suppose -10*z**5 + 4645*z**4 - 6945*z**3 - 5*z**2 + 2315*z = 0. Calculate z.
-1/2, 0, 1, 463
Suppose -3*n**4/8 - 405*n**3/8 - 9537*n**2/8 - 9135*n/8 = 0. Calculate n.
-105, -29, -1, 0
Factor m**2/2 - 7703*m/2 - 15414.
(m - 7707)*(m + 4)/2
Solve -2*h**5 - 62*h**4 + 1670*h**3 - 4546*h**2 + 2940*h = 0.
-49, 0, 1, 2, 15
Factor 2*a**3/3 - 6308*a**2/3 - 12634*a - 18960.
2*(a - 3160)*(a + 3)**2/3
Factor 4*u**3 - 432196*u**2 + 2160896*u - 1728704.
4*(u - 108044)*(u - 4)*(u - 1)
Factor f**3 + 3040*f**2 + 528437*f + 23667098.
(f + 91)**2*(f + 2858)
Factor 2*q**2/17 - 960750*q/17.
2*q*(q - 480375)/17
Determine g so that -g**2/7 + 571*g/7 - 5844 = 0.
84, 487
Factor -b**2/12 - 41551*b/2 - 5179456803/4.
-(b + 124653)**2/12
Factor 3*z**3 + 96*z**2 + 861*z + 2280.
3*(z + 5)*(z + 8)*(z + 19)
Factor -z**2 - 23698*z - 140398801.
-(z + 11849)**2
Determine l, given that 3*l**4 + 3156*l**3 + 777321*l**2 - 28100532*l + 27320052 = 0.
-542, 1, 31
What is m in 14*m**4/13 + 53064*m**3/13 - 730634*m**2/13 - 1011924*m/13 - 228240/13 = 0?
-3804, -1, -2/7, 15
Factor 338*p**2/5 + 90588*p/5 + 1072/5.
2*(p + 268)*(169*p + 2)/5
Suppose -s**4 - 52*s**3 - 309*s**2 + 2002*s + 4840 = 0. What is s?
-44, -11, -2, 5
Factor -4*a**2 - 112664*a - 112660.
-4*(a + 1)*(a + 28165)
Solve v**3 + 168192*v**2 = 0 for v.
-168192, 0
What is r in -3*r**4/4 - 1389*r**3/2 + 8361*r**2/4 - 3*r - 2787 = 0?
-929, -1, 2
Factor m**4 - 181*m**3 + 10634*m**2 - 200096*m - 210912.
(m - 78)*(m - 52)**2*(m + 1)
Factor 4*n**2/7 - 136*n/7 - 27744/7.
4*(n - 102)*(n + 68)/7
Factor 2*q**3 - 62*q**2 - 548*q + 608.
2*(q - 38)*(q - 1)*(q + 8)
Suppose 4*q**3 - 1896*q**2 + 226560*q - 445568 = 0. Calculate q.
2, 236
Factor d**4/4 - 19*d**3/4 + 95*d**2/4 - 137*d/4 + 15.
(d - 12)*(d - 5)*(d - 1)**2/4
Suppose -3*f**3 + 891*f**2 + 6354*f + 9120 = 0. What is f?
-5, -2, 304
Let 2*i**5 + 334*i**4 + 6716*i**3 + 49744*i**2 + 149504*i + 148480 = 0. Calculate i.
-145, -8, -4, -2
Solve -4*r**2 - 720*r - 12800 = 0.
-160, -20
Factor 289*r**3/9 - 1748*r**2/9 + 28*r/3.
r*(r - 6)*(289*r - 14)/9
Solve -3*d**3 - 54*d**2 + 417*d - 360 = 0.
-24, 1, 5
Let -4*p**2/3 - 51794*p/3 + 25898/3 = 0. What is p?
-12949, 1/2
Determine g so that 5*g**2/3 - 318*g - 191/3 = 0.
-1/5, 191
Find z, given that 4*z**5 - 622*z**4 + 5282*z**3 + 1718134*z**2 - 2585286*z + 862488 = 0.
-44, 1/2, 1, 99
Factor 3*c**4 + 11133*c**3 - 33417*c**2 + 33423*c - 11142.
3*(c - 1)**3*(c + 3714)
Factor 3*f**3/4 + 153*f**2 - 7020*f + 73200.
3*(f - 20)**2*(f + 244)/4
Suppose 3*k**2 - 3186