 + 45)*(32*f - 1)/4
Let -3*c**4 - 162*c**3/7 + 144*c**2 + 10464*c/7 + 20736/7 = 0. Calculate c.
-54/7, -4, 8
Find a such that -2*a**5/13 - 1160*a**4 - 180746*a**3/13 - 557156*a**2/13 - 632384*a/13 - 240896/13 = 0.
-7528, -8, -2, -1
Factor 8*v**2 + 846940*v - 423472.
4*(v + 105868)*(2*v - 1)
What is m in -62*m**4/5 - 6557*m**3/5 - 11368*m**2/5 - 3313*m/5 + 312 = 0?
-104, -1, 15/62
Solve -5*h**5/8 - 1203*h**4/8 - 75035*h**3/8 - 317169*h**2/8 + 23069*h + 52215/2 = 0.
-118, -5, -3/5, 1
Factor -5*g**3 - 3655*g**2 - 14560*g - 14540.
-5*(g + 2)**2*(g + 727)
Solve h**3/2 + 784*h**2 + 21769*h/2 + 10101 = 0.
-1554, -13, -1
What is n in -n**2/2 - 4495*n/2 - 2247 = 0?
-4494, -1
Let 26*n**3 + 7286*n**2 + 65040*n = 0. What is n?
-271, -120/13, 0
Determine k, given that -k**3 - 61*k**2 + 256*k - 260 = 0.
-65, 2
Let 3*g**2/8 - 1101*g/8 - 28413/2 = 0. Calculate g.
-84, 451
Suppose 15*x**3/4 - 39*x**2 - 19005*x/4 + 3813/2 = 0. What is x?
-31, 2/5, 41
Factor 2*j**2/15 - 129680*j/3 + 10510564000/3.
2*(j - 162100)**2/15
Factor -5*y**3 - 9120*y**2 - 3989700*y + 155682000.
-5*(y - 36)*(y + 930)**2
Factor -4*d**3 - 156*d**2 + 388*d + 2460.
-4*(d - 5)*(d + 3)*(d + 41)
Suppose 3*o**3 - 324*o**2 + 4083*o + 256410 = 0. What is o?
-21, 55, 74
Factor 4*j**3 - 1820*j**2 + 1808*j + 3632.
4*(j - 454)*(j - 2)*(j + 1)
Let 2*j**5/11 - 2108*j**4/11 - 2124*j**3/11 + 14744*j**2/11 + 27418*j/11 + 12660/11 = 0. What is j?
-2, -1, 3, 1055
Suppose -3*o**3 + 105*o**2 + 1146*o + 1848 = 0. Calculate o.
-7, -2, 44
Let -5*k**2 - 3220*k + 9705 = 0. Calculate k.
-647, 3
Suppose -930738064*v**3 + 929395712*v**2 + 1341868*v + 484 = 0. Calculate v.
-11/15254, 1
What is w in -3*w**3 - 31593*w**2 - 83065785*w + 583009581 = 0?
-5269, 7
What is u in 2*u**4 - 1946282*u**3 + 473500729798*u**2 + 473502676082*u = 0?
-1, 0, 486571
Suppose 2*b**5/5 + 50062*b**4/5 + 417683952*b**3/5 + 1161439809152*b**2/5 - 1161857543168*b/5 = 0. What is b?
-8344, 0, 1
Let -3*h**3/8 - 10*h**2 + 2847*h/8 - 235/2 = 0. What is h?
-47, 1/3, 20
Let -2*j**4 + 280*j**3 - 12154*j**2 + 153164*j = 0. What is j?
0, 22, 59
Factor i**2 - 564*i - 74925.
(i - 675)*(i + 111)
Solve y**4/5 - 1278*y**3/5 + 2468*y**2/5 + 107544*y/5 - 91872 = 0.
-10, 6, 1276
Factor r**4 + 1164*r**3 - 155868*r**2 + 4951072*r.
r*(r - 62)**2*(r + 1288)
Factor 14*k**3/3 - 130*k**2/3 + 116*k/3.
2*k*(k - 1)*(7*k - 58)/3
What is r in r**4 + 285*r**3 + 16937*r**2 - 505665*r - 1076814 = 0?
-153, -2, 23
Factor -q**4/6 - 943*q**3/6 - 111860*q**2/3 - 110450*q.
-q*(q + 3)*(q + 470)**2/6
Factor 377*t**2/10 - 227*t + 24/5.
(t - 6)*(377*t - 8)/10
Factor 3*n**3/4 + 1059*n**2/4 + 23496*n + 23232.
3*(n + 1)*(n + 176)**2/4
Let 3*w**5 - 30*w**4 - 312*w**3 + 1584*w**2 + 7344*w - 18144 = 0. What is w?
-6, 2, 6, 14
Factor 2*d**2/5 - 177602*d/5 - 177604/5.
2*(d - 88802)*(d + 1)/5
Factor -5*t**3 - 1185*t**2 - 25435*t + 26625.
-5*(t - 1)*(t + 25)*(t + 213)
Solve -r**3/3 - 134*r**2/3 + 557*r/3 + 230 = 0.
-138, -1, 5
Determine s, given that -2*s**2 + 2072*s - 14406 = 0.
7, 1029
Let j**4/7 + 205*j**3/7 + 2133*j**2 + 62937*j + 571536 = 0. Calculate j.
-63, -16
Determine c so that 776*c**2/3 + 28711*c/3 - 37/3 = 0.
-37, 1/776
Factor -l**3/2 + 66*l**2 - 4247*l/2 - 2190.
-(l - 73)*(l - 60)*(l + 1)/2
Factor -15*n**3 - 242*n**2 + 1168*n + 160.
-(n - 4)*(n + 20)*(15*n + 2)
Suppose -2*n**2/13 + 1876*n - 194976/13 = 0. What is n?
8, 12186
Factor -t**3 + 177*t**2 + 721*t + 543.
-(t - 181)*(t + 1)*(t + 3)
Solve 52*y**4 - 222*y**3/7 - 50*y**2 + 222*y/7 - 2 = 0 for y.
-1, 1/14, 7/13, 1
Factor 709*w**3 - 9920*w**2 + 9133*w + 78.
(w - 13)*(w - 1)*(709*w + 6)
Factor -y**3/4 + 406*y**2 + 33680*y + 681600.
-(y - 1704)*(y + 40)**2/4
Find d such that -2*d**5/15 - 44*d**4/15 - 344*d**3/15 - 76*d**2 - 90*d = 0.
-9, -5, -3, 0
What is u in 3*u**2 - 87972*u + 644922732 = 0?
14662
What is c in 7*c**3/3 - 5822*c**2/3 + 1128080*c/3 + 322784/3 = 0?
-2/7, 308, 524
Find z, given that -3*z**2 + 393*z - 2250 = 0.
6, 125
Suppose -4*k**5 + 180*k**4 - 2556*k**3 + 13932*k**2 - 23328*k = 0. What is k?
0, 3, 9, 24
Suppose -s**2/9 - 106*s/3 + 327 = 0. Calculate s.
-327, 9
Factor 2*q**2 - 30*q - 812.
2*(q - 29)*(q + 14)
What is s in -2*s**3 - 176*s**2 - 680*s - 672 = 0?
-84, -2
Factor -3*g**2/4 + 13821*g/2 - 63673347/4.
-3*(g - 4607)**2/4
Find n, given that n**3 + 339*n**2 + 28538*n + 28200 = 0.
-188, -150, -1
Let -13*r**5/7 - 296*r**4/7 - 323*r**3 - 6718*r**2/7 - 8172*r/7 - 3240/7 = 0. Calculate r.
-9, -2, -10/13
What is j in -3*j**2/2 - 465*j - 5364 = 0?
-298, -12
Factor 2*j**2 + 178*j - 4620.
2*(j - 21)*(j + 110)
Let -2*v**4 - 714*v**3 + 2886*v**2 - 734*v - 4332 = 0. What is v?
-361, -1, 2, 3
Factor -8*o**3 + 1076*o**2 + 3255*o/2 + 612.
-(o - 136)*(4*o + 3)**2/2
Suppose -2*x**3/9 + 13940*x**2 + 2*x/9 - 13940 = 0. What is x?
-1, 1, 62730
Suppose 7061*h**2 - 7063*h + 2 = 0. Calculate h.
2/7061, 1
Determine y so that -y**2/8 - 4787*y/8 - 14325/2 = 0.
-4775, -12
What is v in -v**2 - 13249*v + 13250 = 0?
-13250, 1
Factor -33*b**4 - 1719*b**3 - 30447*b**2 - 193341*b - 176868.
-3*(b + 17)**3*(11*b + 12)
Factor 3*m**4/4 - 1734*m**3 + 2678427*m**2/2 - 347720268*m + 6821349135/4.
3*(m - 769)**3*(m - 5)/4
Find k, given that 2*k**4 + 472*k**3 + 4900*k**2 - 11224*k + 5850 = 0.
-225, -13, 1
Factor -2*f**2/13 + 360*f/13 + 238698/13.
-2*(f - 447)*(f + 267)/13
Determine p so that 12*p**5 - 502*p**4 + 1762*p**3 - 470*p**2 - 2398*p + 1596 = 0.
-7/6, 1, 3, 38
Factor 3*v**3 - 3000*v**2 + 50019*v + 112062.
3*(v - 983)*(v - 19)*(v + 2)
Find x such that 5*x**2 + 14465740*x + 10462881687380 = 0.
-1446574
Suppose -3*u**4/5 + 3384*u**3/5 + 12*u**2/5 - 13536*u/5 = 0. Calculate u.
-2, 0, 2, 1128
Solve -b**5 + 827*b**4 - 3292*b**3 = 0.
0, 4, 823
Determine s so that s**4 + 6*s**3 - 108*s**2 + 378*s - 405 = 0.
-15, 3
Determine u so that -5*u**3 + 3345*u**2 + 142680*u - 623920 = 0.
-44, 4, 709
Factor 231*m**2/2 - 10629*m/2 + 69.
3*(m - 46)*(77*m - 1)/2
Factor l**3/3 + 13*l**2 - 15456*l + 3299072/3.
(l - 112)**2*(l + 263)/3
Let 9674*h**2 - 9680*h + 6 = 0. What is h?
3/4837, 1
Factor 2*j**2/7 + 43462*j/7 - 86932/7.
2*(j - 2)*(j + 21733)/7
Factor 112*j**2 + 5269*j/4 + 123/2.
(7*j + 82)*(64*j + 3)/4
Factor 5*d**3 - 215*d**2 - 250*d + 1320.
5*(d - 44)*(d - 2)*(d + 3)
Factor -4*b**4 - 6440*b**3 - 2643108*b**2 - 41061440*b - 162613504.
-4*(b + 8)**2*(b + 797)**2
Factor 2*b**3 - 19440*b**2 - 370046*b - 350604.
2*(b - 9739)*(b + 1)*(b + 18)
Determine v so that 2*v**2/3 - 3854*v/3 - 121396/3 = 0.
-31, 1958
Factor -h**5 - 218*h**4 + 1106*h**3 - 2000*h**2 + 1559*h - 446.
-(h - 2)*(h - 1)**3*(h + 223)
Suppose 3*f**4/5 - 2019*f**3/5 + 21867*f**2/5 - 13461*f/5 - 291942/5 = 0. Calculate f.
-3, 7, 662
What is s in -4*s**4 - 396*s**3 - 11616*s**2 - 106480*s = 0?
-55, -22, 0
Determine j so that -j**5/2 - 222*j**4 - 1305*j**3/2 + 3969*j**2 = 0.
-441, -6, 0, 3
Find g such that -2*g**2/3 - 680*g + 2042/3 = 0.
-1021, 1
Factor -3*m**2 - 531*m + 31584.
-3*(m - 47)*(m + 224)
Solve -2*z**4/3 + 3588*z**3 - 107440*z**2/3 = 0 for z.
0, 10, 5372
Determine h, given that h**5/4 + 121*h**4/2 - 3013*h**3/4 + 4451*h**2/2 + 753*h - 2286 = 0.
-254, -1, 1, 6
Factor -2*p**2/5 + 1522*p + 15228/5.
-2*(p - 3807)*(p + 2)/5
Determine o so that -2*o**5/7 + 24*o**4 - 2882*o**3/7 + 9732*o**2/7 - 1640*o + 4464/7 = 0.
1, 2, 18, 62
Determine h, given that -5*h**4 + 315*h**3 - 6035*h**2 + 23625*h + 212500 = 0.
-4, 17, 25
Factor -y**2/4 - 313*y + 1887.
-(y - 6)*(y + 1258)/4
Factor 3*q**2 - 148380*q + 1834718700.
3*(q - 24730)**2
Factor -10*m**2 - 420805*m + 210405.
-5*(m + 42081)*(2*m - 1)
Solve -5*j**4 - 5610*j**3 - 50215*j**2 - 144810*j - 133560 = 0.
-1113, -4, -3, -2
Let -46*s**5/11 + 1834*s**4/11 - 4918*s**3/11 + 1126*s**2/11 + 4964*s/11 - 2960/11 = 0. What is s?
-1, 20/23, 1, 2, 37
Factor -5*v**2 + 194540*v.
-5*v*(v - 38908)
Let 2*f**2/5 - 19524*f/5 + 7808 = 0. Calculate f.
2, 9760
Factor -w**2/6 + 12464*w - 233026944.
-(w - 37392)**2/6
Factor -27*k**2/2 - 4359*k + 969/2.
-3*(k + 323)*(9*k - 1)/2
Suppose r**5/5 + 262*r**4/5 - 1332*r**3/5 + 162*r**2 + 2403*r/5 = 0. What is r?
-267, -1, 0, 3
Solve 2*x**5 + 636*x**4 - 3216*x**3 + 4516*x**2 - 1938*x = 0.
-323, 0, 1, 3
Solve -14*w**2/9 - 1058*w/9 - 200/3 = 0.
-75, -4/7
Factor r**2/8 + 23087*r/8 + 23085/4.
(r + 2)*(r + 23085)/8
Find j such that j**4/8 - 104