3*k**2/2 - 261*k/2 = 0.
-29, -3, 0
Let -52396146*r**4/7 + 624519720*r**3/7 + 7242048*r**2 + 1367552*r/7 + 12288/7 = 0. What is r?
-8/297, 12
Find m such that 3*m**5 - 171*m**4 + 2967*m**3 - 15249*m**2 + 27450*m - 15000 = 0.
1, 2, 4, 25
Suppose -x**3/2 + 31*x**2/2 + 185*x - 200 = 0. What is x?
-10, 1, 40
Factor -g**2/5 + 11416*g/5 - 2283.
-(g - 11415)*(g - 1)/5
Factor -f**2 - 3233*f + 3234.
-(f - 1)*(f + 3234)
Let 12*t**4 - 2547*t**3 + 7944*t**2 + 43317*t - 11286 = 0. Calculate t.
-3, 1/4, 6, 209
Factor -2*t**2/5 - 3704404*t/5 - 1715326124402/5.
-2*(t + 926101)**2/5
Factor -k**3/9 - 24764*k**2/9 - 24761*k/9 + 49526/9.
-(k - 1)*(k + 2)*(k + 24763)/9
Find w, given that -5*w**2 + 132610*w - 879270605 = 0.
13261
Let 4*c**3 + 355668*c**2 - 2134116*c + 3201228 = 0. Calculate c.
-88923, 3
Suppose q**4 + 33*q**3 - 988*q**2 - 26220*q - 25200 = 0. Calculate q.
-42, -20, -1, 30
Factor -c**3 - 795*c**2 - 158403*c - 157609.
-(c + 1)*(c + 397)**2
Find l such that 4*l**2 + 4184*l + 202980 = 0.
-995, -51
Suppose -6*b**5/19 - 140*b**4/19 - 958*b**3/19 - 1552*b**2/19 + 1888*b/19 + 768/19 = 0. Calculate b.
-12, -8, -4, -1/3, 1
Factor -y**2 + 153978*y - 5927306121.
-(y - 76989)**2
Factor f**4/5 - 78*f**3/5 - 4*f**2/5 + 312*f/5.
f*(f - 78)*(f - 2)*(f + 2)/5
Factor -q**2/3 - 484*q/3 - 2945.
-(q + 19)*(q + 465)/3
Suppose 3*f**2 - 21807*f + 326430 = 0. Calculate f.
15, 7254
What is m in -2*m**3/5 + 496*m**2 = 0?
0, 1240
Let -f**2/10 - 132529*f/10 + 13253 = 0. What is f?
-132530, 1
Factor -2*y**2/9 + 1037332*y/9 - 134507209778/9.
-2*(y - 259333)**2/9
Suppose -5*x**4/3 + 22270*x**3/3 + 66860*x**2/3 - 22270*x/3 - 22285 = 0. What is x?
-3, -1, 1, 4457
Determine t, given that 4*t**4 + 1564*t**3 - 6300*t**2 + 7892*t - 3160 = 0.
-395, 1, 2
Suppose -5*k**4 - 655*k**3 - 2535*k**2 + 655*k + 2540 = 0. What is k?
-127, -4, -1, 1
Factor w**2/3 - 1322210*w/3 + 437059821025/3.
(w - 661105)**2/3
Solve 10*n**2 + 9175*n + 9165 = 0 for n.
-1833/2, -1
Factor t**3 - 64*t**2 + 473*t + 1210.
(t - 55)*(t - 11)*(t + 2)
Solve -c**4/3 + 2*c**3/3 + 1849*c**2 - 159016*c/3 - 164560/3 = 0 for c.
-85, -1, 44
What is g in 4*g**2 + 15596*g - 15600 = 0?
-3900, 1
Suppose -v**2/5 - 218*v/5 - 856/5 = 0. Calculate v.
-214, -4
Let 5*h**4 - 175*h**3 + 1335*h**2 - 2165*h + 1000 = 0. What is h?
1, 8, 25
Find k such that -3*k**4/4 + 4089*k**3/4 - 76905*k**2/4 + 399411*k/4 - 81648 = 0.
1, 9, 1344
Factor 4*y**3 + 4176*y**2 + 216756*y + 2886840.
4*(y + 27)**2*(y + 990)
Let 2*b**2/13 + 58764*b/13 + 431650962/13 = 0. Calculate b.
-14691
Factor 3*p**2/5 - 3093*p/5 + 12324/5.
3*(p - 1027)*(p - 4)/5
Let c**2/9 - 40*c/9 - 1643/3 = 0. What is c?
-53, 93
Solve -2*m**4/7 + 484*m**3/7 - 35760*m**2/7 + 108900*m - 425250 = 0 for m.
5, 27, 105
Factor 3*i**4/8 + 3363*i**3/4 + 3756447*i**2/8 - 3776649*i/2 + 3783387/2.
3*(i - 2)**2*(i + 1123)**2/8
Find g such that -g**4 - 2441*g**3 + 7360*g**2 + 68432*g = 0.
-2444, -4, 0, 7
Let -2*u**5 - 602*u**4 - 41846*u**3 + 523554*u**2 - 919152*u + 438048 = 0. Calculate u.
-156, 1, 9
Determine b so that -b**3 + 5790*b**2 - 8684937*b + 871698348 = 0.
108, 2841
Factor -4*k**2 + 24684*k + 2025648.
-4*(k - 6252)*(k + 81)
Factor -5*s**2 - 319050*s - 5089645125.
-5*(s + 31905)**2
Factor -251*p**3 - 13811*p**2/3 - 110*p/3.
-p*(3*p + 55)*(251*p + 2)/3
Factor 2*x**3/3 - 2618*x**2 + 7852*x/3.
2*x*(x - 3926)*(x - 1)/3
Suppose -4*g**4 + 13756*g**3 - 15773544*g**2 + 6036000336*g - 6020240544 = 0. Calculate g.
1, 1146
Determine w, given that -2*w**5 + 1280*w**4 - 214622*w**3 + 3093792*w**2 + 3309696*w = 0.
-1, 0, 17, 312
Find k, given that 4*k**4 - 48*k**3 - 2484*k**2 - 9232*k - 8976 = 0.
-17, -2, 33
Factor -4*u**3 + 3476*u**2.
-4*u**2*(u - 869)
Find f such that -4*f**2 + 6060*f + 12136 = 0.
-2, 1517
What is a in -4*a**4/5 - 896*a**3/5 - 67056*a**2/5 - 343552*a - 634880 = 0?
-80, -62, -2
Find h, given that -308*h**2 + 57936*h - 6016 = 0.
8/77, 188
Factor -g**2/2 - 2570*g - 3302450.
-(g + 2570)**2/2
Let 2*b**3/9 + 46626*b**2 + 419632*b/9 = 0. Calculate b.
-209816, -1, 0
Determine v so that -3*v**3/4 - 9*v**2/4 + 27*v/4 - 15/4 = 0.
-5, 1
Factor g**4 + 56*g**3 + 402*g**2 - 976*g + 517.
(g - 1)**2*(g + 11)*(g + 47)
Suppose 2*z**4 - 1486*z**3 + 266156*z**2 + 3681720*z + 6286896 = 0. What is z?
-11, -2, 378
What is g in -g**5/3 - 43*g**4/3 - 230*g**3 - 1656*g**2 - 4896*g - 3456 = 0?
-12, -6, -1
Factor -3*o**2/7 + 204*o - 24276.
-3*(o - 238)**2/7
Factor 4*z**4/5 - 573652*z**3/5 + 5484648528*z**2 - 436998512166848*z/5 + 436971089497856/5.
4*(z - 47804)**3*(z - 1)/5
Suppose 19890*m**2 + 9933*m - 6 = 0. What is m?
-1/2, 2/3315
What is s in 45*s**4 + 90325*s**3 + 380610*s**2 + 80120*s = 0?
-2003, -4, -2/9, 0
Find c, given that 135*c**2 - 8095*c - 300 = 0.
-1/27, 60
Find v, given that 7*v**3 + 845*v**2 - 3718*v + 4000 = 0.
-125, 2, 16/7
Let 2*t**5/15 + 24*t**4/5 + 78*t**3/5 - 11764*t**2/15 - 3008*t + 42240 = 0. What is t?
-22, -15, 8
Suppose -5*n**4 - 44160*n**3 - 661515*n**2 - 2115760*n + 2821440 = 0. Calculate n.
-8817, -8, 1
Determine q so that 3*q**5 + 807*q**4 + 786*q**3 - 4836*q**2 - 3192*q + 6432 = 0.
-268, -2, 1, 2
Find x, given that 2*x**2/3 + 8306*x/3 + 8300 = 0.
-4150, -3
Factor o**3/4 - 10497*o**2/4 + 6888000*o - 6885376.
(o - 5248)**2*(o - 1)/4
Factor -4*p**3 + 12*p**2 + 612*p + 1620.
-4*(p - 15)*(p + 3)*(p + 9)
Factor 20*m**3/7 + 329736*m**2/7 + 194172108*m + 1087152784/7.
4*(m + 8243)**2*(5*m + 4)/7
Solve c**4/2 - 6796*c**3 + 23099603*c**2 - 46178820*c + 46172025/2 = 0 for c.
1, 6795
Determine y so that 2*y**5/5 + 3938*y**4/5 + 147102*y**3/5 + 668662*y**2/5 + 207056*y + 509784/5 = 0.
-1931, -33, -2, -1
Suppose a**5/4 - 3559*a**4/2 + 17087845*a**3/4 - 3574214998*a**2 + 277242820976*a - 273672876160 = 0. Calculate a.
1, 85, 2344
Suppose -2*f**2/11 + 2963164*f/11 - 1097542611362/11 = 0. What is f?
740791
Factor -4*g**3 + 11812*g**2 - 9622844*g + 1296219932.
-4*(g - 1393)**2*(g - 167)
Suppose 6*h**2/11 + 444*h + 549990/11 = 0. Calculate h.
-679, -135
Find y, given that -5*y**5 - 8645*y**4 + 35*y**3 + 60545*y**2 + 51870*y = 0.
-1729, -2, -1, 0, 3
Factor 4*u**2 + 350*u/19 + 184/19.
2*(u + 4)*(38*u + 23)/19
Determine f, given that -2*f**5/7 + 848*f**4/7 + 2558*f**3/7 + 244*f**2 = 0.
-2, -1, 0, 427
Factor -2*y**2 + 490*y - 1452.
-2*(y - 242)*(y - 3)
Factor -j**3/3 + 1604*j**2/3 - 1068*j.
-j*(j - 1602)*(j - 2)/3
Solve 2*t**4 - 760*t**3 - 5454*t**2 + 13932*t = 0 for t.
-9, 0, 2, 387
Determine c so that -5*c**2 + 3955*c - 65790 = 0.
17, 774
Find v, given that 45*v**2 - 231310*v - 231355 = 0.
-1, 46271/9
Suppose -2*k**3/15 + 374*k**2/15 - 1772*k/15 - 2912/5 = 0. What is k?
-3, 8, 182
Factor 4*b**3/7 + 72*b**2/7 - 772*b/7 - 1800/7.
4*(b - 9)*(b + 2)*(b + 25)/7
Solve -p**4 - 2347*p**3/4 + 587*p**2/4 = 0.
-587, 0, 1/4
What is z in -5*z**5 - 355*z**4 - 5955*z**3 - 14785*z**2 + 1360*z + 19740 = 0?
-47, -21, -2, 1
Determine f so that -f**5/2 - 7*f**4 + 31*f**3/2 + 286*f**2 - 600*f - 864 = 0.
-12, -9, -1, 4
Factor 5*h**2 + 208650*h + 2176741125.
5*(h + 20865)**2
Factor -4*s**2/7 + 31384*s/7 + 4484.
-4*(s - 7847)*(s + 1)/7
Find i, given that -3*i**4 - 102*i**3 + 693*i**2 + 4212*i = 0.
-39, -4, 0, 9
Factor y**2/4 + 114001*y/2 - 228003/4.
(y - 1)*(y + 228003)/4
Suppose -5*f**4/4 + 553*f**3/2 - 80741*f**2/4 + 488631*f - 96921 = 0. Calculate f.
1/5, 66, 89
Solve -j**3 + 7616*j**2 - 14500864*j = 0 for j.
0, 3808
Suppose -b**4/5 - 3348*b**3/5 - 2805618*b**2/5 - 1117564*b + 8396787/5 = 0. Calculate b.
-1673, -3, 1
Factor -o**3 + 746*o**2 - 167564*o + 9989944.
-(o - 326)**2*(o - 94)
Determine c so that -c**5/5 - 122*c**4/5 + 132*c**3/5 + 1098*c**2/5 - 1107*c/5 = 0.
-123, -3, 0, 1, 3
Factor -4*b**3/3 + 8724*b**2.
-4*b**2*(b - 6543)/3
Factor -2*h**3/5 - 4552*h**2/5 - 36288*h/5.
-2*h*(h + 8)*(h + 2268)/5
Factor -u**3/2 - 44*u**2 + 24875*u/2 + 1265625.
-(u - 162)*(u + 125)**2/2
Suppose -3*l**2 - 2256*l - 2253 = 0. Calculate l.
-751, -1
Factor -3*s**3 + 234*s**2 - 5184*s + 35328.
-3*(s - 46)*(s - 16)**2
Solve -7*g**5 + 141248*g**4 - 40349*g**3 - 141248*g**2 + 40356*g = 0.
-1, 0, 2/7, 1, 20178
Factor -p**2 - 2350*p + 2351.
-(p - 1)*(p + 2351)
Solve t**2 + 168*t + 5207 = 0.
-127, -41
Let 320*n**2 + 632332*n + 23712 = 0. Calculate n.
-1976, -3/80
Factor -j**2 - 15519*j + 15520.
-(j - 1)*(j + 15520)
Factor -2*d**2 + 2552*d + 36120.
-2