0413*r**3 + 82797*r**2 + 1090845*r = 0.
-7, 0, 15, 3463
Factor -3*s**3 + 523164*s**2 - 953974383*s + 437187001650.
-3*(s - 172550)*(s - 919)**2
Determine f, given that -3*f**4 + 10056*f**3 + 10737*f**2 - 2274006*f + 2253216 = 0.
-16, 1, 14, 3353
Factor 4*z**2 - 10242236*z + 317505472.
4*(z - 2560528)*(z - 31)
Suppose -k**2/3 + 57340979*k/3 - 57340978/3 = 0. Calculate k.
1, 57340978
Factor -3*n**2 - 8355*n + 25092.
-3*(n - 3)*(n + 2788)
Solve 36*n**3/5 + 19367052*n**2/5 - 6455687*n/5 + 537974/5 = 0.
-537974, 1/6
Let 4*k**3 + 3831264*k**2 + 53637108*k + 187729192 = 0. Calculate k.
-957802, -7
Let -j**2/3 + 2236868*j/3 - 1491244 = 0. Calculate j.
2, 2236866
Determine z, given that -5*z**5 + 17345*z**4 - 34595*z**3 - 260205*z**2 + 624060*z = 0.
-4, 0, 3, 3467
Suppose 5*l**2 - 53555780*l - 107111580 = 0. What is l?
-2, 10711158
Suppose 27*l**4 + 8190534*l**3 + 621086822304*l**2 - 10491818158470*l - 1173425300475 = 0. What is l?
-151685, -1/9, 17
Determine n, given that -3*n**2 - 28443*n - 65859660 = 0.
-5461, -4020
Factor -3*b**2/2 - 1064241*b/2 + 50564985.
-3*(b - 95)*(b + 354842)/2
Suppose -4*t**4 + 172*t**3 + 4284*t**2 - 30412*t + 25960 = 0. Calculate t.
-22, 1, 5, 59
Let 3*w**2 - 456418*w + 456415 = 0. Calculate w.
1, 456415/3
Let 4*i**5/7 + 7125296*i**4/7 + 35626408*i**3/7 + 49876944*i**2/7 + 21375828*i/7 = 0. Calculate i.
-1781319, -3, -1, 0
Factor 3*w**2 - 13483848*w.
3*w*(w - 4494616)
Find l, given that l**4/5 + 7124*l**3/5 + 3195283*l**2/5 = 0.
-6643, -481, 0
What is f in f**2/7 + 561891*f/7 - 561892/7 = 0?
-561892, 1
Let m**2 + 24795004*m + 153698055840004 = 0. Calculate m.
-12397502
Factor j**2/5 + 186406*j/5 - 1304891/5.
(j - 7)*(j + 186413)/5
Suppose c**3/3 + 29*c**2/3 - 4282*c/3 + 16600/3 = 0. Calculate c.
-83, 4, 50
Determine z, given that -4*z**3 - 45592*z**2 - 19565572*z - 2140407984 = 0.
-10956, -221
Let 2*f**5 - 65953*f**4/2 + 89956638*f**3 + 315017251*f**2/2 + 45015421*f - 22503588 = 0. Calculate f.
-1, 1/4, 3452, 13038
Factor -5*i**2 + 316310*i + 13610575.
-5*(i - 63305)*(i + 43)
Solve -4*y**2 + 824271056*y - 42463923359959696 = 0.
103033882
Find c, given that -20118*c**2/5 + 281654*c/5 - 28/5 = 0.
1/10059, 14
Find y such that 3*y**4 - 3339*y**3 - 682782*y**2 - 31503744*y + 65765280 = 0.
-92, 2, 1295
Solve -4*y**2 + 213004*y - 1064920 = 0.
5, 53246
Solve -3*z**3 - 50682*z**2 + 1167345*z + 1218024 = 0 for z.
-16917, -1, 24
Determine z, given that -4*z**3/5 + 244516*z**2/5 = 0.
0, 61129
Find h such that h**2/12 + 369*h/2 + 220983/4 = 0.
-1857, -357
Factor -3*g**3/8 + 225077*g**2/2 - 67546508007*g/8 + 22515302601/4.
-(g - 150051)**2*(3*g - 2)/8
Solve 3*b**3/5 - 15168*b**2/5 - 2610132*b - 2605046064/5 = 0.
-386, 5828
Factor -2*p**2/3 - 148156*p - 7554222.
-2*(p + 51)*(p + 222183)/3
Factor -3905*k**2 - 976110*k + 35000.
-5*(k + 250)*(781*k - 28)
Find r such that 3*r**4 + 5886*r**3 + 267408*r**2 - 4995150*r - 5256675 = 0.
-1915, -61, -1, 15
Suppose 4*d**4 - 6536*d**3 + 363696*d**2 - 6553080*d + 38321100 = 0. What is d?
15, 27, 1577
Let 2*z**4 + 52338*z**3 - 575940*z**2 + 523600*z = 0. What is z?
-26180, 0, 1, 10
Factor 2*j**2/11 - 47848*j/11 + 5510008.
2*(j - 22582)*(j - 1342)/11
Factor -7032980*g**3/3 - 55706420*g**2/3 - 110309045*g/3.
-5*g*(1186*g + 4697)**2/3
Let -i**2/2 - 829*i - 224841/2 = 0. Calculate i.
-1509, -149
Let -5*b**3/3 + 115820*b**2/3 - 73032820*b/3 + 11674818400/3 = 0. Calculate b.
322, 22520
Solve 176*i**5 + 16560*i**4 - 42940*i**3 - 42060*i**2 + 42764*i + 25500 = 0 for i.
-2125/22, -1, -1/2, 1, 3
Factor -5*t**3 - 4458400*t**2 + 8916820*t.
-5*t*(t - 2)*(t + 891682)
Solve -4*f**4/5 - 288*f**3/5 + 22924*f**2/5 + 48408*f/5 - 411264 = 0 for f.
-119, -10, 9, 48
Factor 4*t**2 + 619396*t + 88491832.
4*(t + 143)*(t + 154706)
Suppose -s**2/4 - 8574693*s/2 + 120045751/4 = 0. Calculate s.
-17149393, 7
Factor -3*g**2/5 + 1354506*g - 148994208/5.
-3*(g - 2257488)*(g - 22)/5
Factor -z**3/4 + 901*z**2/4 + 60318*z.
-z*(z - 1117)*(z + 216)/4
What is p in p**4 - 34257*p**3 + 34222*p**2 + 1164648*p + 1918336 = 0?
-4, -2, 7, 34256
Factor g**3/8 + 89*g**2 + 84967*g/8 - 10710.
(g - 1)*(g + 153)*(g + 560)/8
Factor 1485172*w**2 - 16336884*w - 88.
4*(w - 11)*(371293*w + 2)
Determine w so that -w**4 + 1516*w**3 - 371162*w**2 - 1516*w + 371163 = 0.
-1, 1, 307, 1209
Determine x so that -x**3/4 - 1399*x**2/4 + 737451*x/2 = 0.
-2101, 0, 702
Factor z**4/2 - 29161*z**3/2 + 141410001*z**2 - 453036483254*z - 30048841760860.
(z - 9742)**3*(z + 65)/2
Let f**3/3 - 29596*f**2 - 88791*f = 0. Calculate f.
-3, 0, 88791
Factor -9*f**2/5 - 31751354*f/5 - 7055856/5.
-(f + 3527928)*(9*f + 2)/5
Factor 2*g**2/7 + 51260144*g/7 + 328450295362592/7.
2*(g + 12815036)**2/7
Let -2*m**3 - 146476*m**2 - 1025234*m = 0. What is m?
-73231, -7, 0
Factor -4*i**4 + 46152*i**3 + 3764556*i**2.
-4*i**2*(i - 11619)*(i + 81)
Let -25*i**2 - 130285*i - 182350 = 0. What is i?
-5210, -7/5
Determine t, given that -5*t**4 + 143350*t**3 + 1290440*t**2 + 3298010*t + 2150925 = 0.
-5, -3, -1, 28679
Factor 2*o**2/7 - 4384*o/7 + 1570382/7.
2*(o - 1741)*(o - 451)/7
Find b such that -2*b**3 + 17932678*b**2 - 40197626497798*b + 40197608565122 = 0.
1, 4483169
Let -3*w**3/2 - 330807*w**2/2 - 1984749*w/2 - 1653945/2 = 0. What is w?
-110263, -5, -1
Suppose -2*k**5/11 - 2*k**4/11 + 19028*k**3/11 - 38008*k**2/11 - 76080*k/11 + 13824 = 0. Calculate k.
-99, -2, 2, 96
Let -2*b**2/11 - 7246*b/11 - 6027452/11 = 0. What is b?
-2329, -1294
Factor c**3 - 1779*c**2 + 368298*c - 366520.
(c - 1540)*(c - 238)*(c - 1)
Solve 2*q**2/3 - 4963864*q/3 + 3079993226312/3 = 0 for q.
1240966
Factor r**2 + 17157*r + 21310532.
(r + 1348)*(r + 15809)
Solve -o**5/7 - 631*o**4/7 - 14898*o**3/7 + 152316*o**2/7 - 239976*o/7 = 0.
-606, -33, 0, 2, 6
Let 2*n**2 - 30736240*n + 118089556167200 = 0. Calculate n.
7684060
Let -3*v**2 + 73152*v + 3004275 = 0. What is v?
-41, 24425
Suppose 2*c**5/5 + 1396*c**4/5 - 590*c**3 - 105496*c**2/5 - 347552*c/5 - 49280 = 0. Calculate c.
-700, -4, -1, 11
Let 4*r**5 - 53936*r**4 + 247925052*r**3 - 412164436304*r**2 + 109336003885888*r - 1740810100639488 = 0. What is r?
17, 303, 4388
Factor -2*g**2/13 + 301790*g/13 + 2112628/13.
-2*(g - 150902)*(g + 7)/13
Solve 75*y**3 - 1033701*y**2 + 3803157*y - 2108187 = 0.
17/25, 3, 13779
Factor -5*d**4 + 4700*d**3 + 33085*d**2 + 56820*d.
-5*d*(d - 947)*(d + 3)*(d + 4)
Solve 4*o**3 + 2540192*o**2 - 66047696*o = 0.
-635074, 0, 26
Suppose x**4/5 - 991*x**3/5 - 121111*x**2/5 + 991*x/5 + 24222 = 0. What is x?
-110, -1, 1, 1101
Solve -5*l**5 - 78661*l**4/2 - 76833320*l**3 + 2010482644*l**2 - 11743706384*l - 6384075560 = 0 for l.
-3946, -1/2, 10, 82/5
Factor 2*p**2 - 1491626*p + 2983244.
2*(p - 745811)*(p - 2)
Factor 2*a**2/5 + 8366124*a/5 + 8366122/5.
2*(a + 1)*(a + 4183061)/5
Factor -4*h**3/7 - 112016*h**2/7 - 134665728*h - 298748685312.
-4*(h + 3476)*(h + 12264)**2/7
Factor 3*x**3 + 84705*x**2 - 1016784*x + 3050676.
3*(x - 6)**2*(x + 28247)
Determine v so that -2*v**3/13 + 17750*v**2/13 + 213938*v/13 - 444350 = 0.
-25, 13, 8887
Factor j**2/3 - 4355*j/3 + 68912.
(j - 4307)*(j - 48)/3
Determine j, given that -75540*j**4 - 925525*j**3 - 1059520*j**2 - 209975*j - 440 = 0.
-11, -1, -1/4, -8/3777
Factor -2*a**3/19 - 101572*a**2/19 + 6342880*a.
-2*a*(a - 1160)*(a + 51946)/19
Solve -27*g**5 - 3645144*g**4 - 15795138*g**3 - 2834964*g**2 + 7695045*g - 1620012 = 0.
-135001, -4, -1, 1/3
Find g such that 2*g**2 - 156776*g - 15383256 = 0.
-98, 78486
Let 2*b**2/15 - 119753464*b/15 + 1792611517499912/15 = 0. Calculate b.
29938366
Solve c**3/2 - 2290*c**2 - 22919*c/2 - 13755 = 0 for c.
-3, -2, 4585
Let -242*c**5 + 2126080*c**4/7 + 45219976*c**3/7 + 40936096*c**2/7 + 10452352*c/7 + 816640/7 = 0. Calculate c.
-20, -4/7, -2/11, 1276
Factor -2*v**2/11 + 2304*v/11 + 13896/11.
-2*(v - 1158)*(v + 6)/11
Suppose -d**5/8 + 3675*d**4/8 + 81265*d**3/8 + 255165*d**2/8 - 66465*d/2 - 299457/2 = 0. What is d?
-18, -3, 2, 3697
Factor t**2/3 + 1085*t + 22638.
(t + 21)*(t + 3234)/3
Find c such that 52*c**5 + 14668*c**4 + 198100*c**3 + 517492*c**2 + 499096*c + 165088 = 0.
-268, -11, -14/13, -1
Determine h so that 5*h**4/4 - 4701909*h**3/2 - 22569203*h**2/4 + 5172105*h + 2821149 = 0.
-3, -2/5, 1, 1880766
Suppose -289236*g**3 + 37600677*g**2 + 37890306*g + 393 = 0. What is g?
-1, -1/96412, 131
Suppos