actor 3*j**2/7 - 317049*j/7 - 317052/7.
3*(j - 105684)*(j + 1)/7
Factor 1700*y**2/7 + 2798204*y/7 + 6584/7.
4*(y + 1646)*(425*y + 1)/7
Let -b**2/9 - 49486*b/9 + 3528629/3 = 0. Calculate b.
-49699, 213
Let 2*r**2/19 - 1161918*r/19 - 11619380/19 = 0. Calculate r.
-10, 580969
Find q such that -3*q**4 - 82719*q**3 - 248136*q**2 - 165420*q = 0.
-27570, -2, -1, 0
Let 2*v**2/9 + 32884*v/9 - 43856/3 = 0. What is v?
-16446, 4
Factor 3*n**2 - 14699067*n - 14699070.
3*(n - 4899690)*(n + 1)
Suppose -5*m**3/3 + 935*m**2/3 + 86855*m + 1378275 = 0. What is m?
-141, -17, 345
Find l, given that 1308*l**2 + 14362*l - 286 = 0.
-11, 13/654
Let -p**2/5 - 40271986*p/5 - 405458214096049/5 = 0. What is p?
-20135993
Factor -5*k**2 + 3264091070*k - 532714525662687245.
-5*(k - 326409107)**2
Suppose -w**2 - 3130660*w + 6261324 = 0. What is w?
-3130662, 2
Solve 114816*s**3 + 360532*s**2 + 48290*s + 114 = 0 for s.
-3, -19/138, -1/416
Suppose 2*q**5/9 + 5182*q**4/9 + 183946*q**3/3 - 8563606*q**2/9 + 21750160*q/9 - 1527064 = 0. What is q?
-2479, -126, 1, 2, 11
Suppose 3*b**5 + 1011*b**4 + 88290*b**3 - 383616*b**2 - 210843648*b = 0. Calculate b.
-186, -96, 0, 41
Factor 4*m**3 + 521412*m**2 + 2085596*m + 1564188.
4*(m + 1)*(m + 3)*(m + 130349)
Suppose -35574675156250*n**4 + 571080927500*n**3 - 2306982210*n**2 + 121112*n - 8/5 = 0. What is n?
2/75445, 1/125
Factor -1080*l**2 + 5177*l + 1115.
-(l - 5)*(1080*l + 223)
Suppose -5*k**2 - 1227861490*k - 75382191931251005 = 0. What is k?
-122786149
Factor 4*o**4 - 1266760*o**3 + 133720029936*o**2 - 4704716332531808*o - 37646289390767872.
4*(o - 105566)**3*(o + 8)
Find w, given that -2*w**2 - 37153068*w - 172543807726578 = 0.
-9288267
Let 3*j**4 + 1216332*j**3 + 123378603564*j**2 + 18240056288064*j + 674635729158912 = 0. What is j?
-202648, -74
Find l, given that l**4/5 + 3314*l**3/5 + 2755569*l**2/5 + 16430836*l/5 + 2735716 = 0.
-1654, -5, -1
Factor 5*r**4 - 70*r**3 - 55*r**2 + 2100*r.
5*r*(r - 12)*(r - 7)*(r + 5)
Factor 4*g**4/5 - 13068*g**3/5 - 3202336*g**2/5.
4*g**2*(g - 3496)*(g + 229)/5
Determine o, given that o**5/5 + 488601*o**4/5 + 2540590*o**3 = 0.
-488575, -26, 0
Let 200*m**4/3 - 100680*m**3 + 37001934*m**2 + 762499980*m + 3823860150 = 0. Calculate m.
-99/10, 765
Let -14*x**3/19 + 604*x**2 - 2226416*x/19 - 637056/19 = 0. Calculate x.
-2/7, 316, 504
Factor -b**2/7 + 478435*b.
-b*(b - 3349045)/7
Suppose -3*h**5/4 + 405*h**4/4 - 4416*h**3 + 64323*h**2 - 111780*h = 0. Calculate h.
0, 2, 27, 46, 60
Solve 45*q**3 - 10482555*q**2 + 27953240*q - 18635440 = 0.
4/3, 232943
Factor 3*j**2/7 - 4401*j/7 - 204981240/7.
3*(j - 9032)*(j + 7565)/7
Suppose 5*b**4 + 250*b**3 - 194055*b**2 - 18751340*b - 36724540 = 0. Calculate b.
-131, -2, 214
Suppose -2*p**4 - 2764*p**3 - 744960*p**2 + 145312000*p - 5360128000 = 0. Calculate p.
-760, 58, 80
Factor 2*i**2/3 + 2686*i - 8443592/3.
2*(i - 863)*(i + 4892)/3
Let 3*h**2 + 5625255*h + 112503900 = 0. What is h?
-1875065, -20
Solve 4*z**5 + 9930*z**4 - 134584*z**3 + 499050*z**2 - 374400*z = 0 for z.
-2496, 0, 1, 5, 15/2
Factor -2*g**4 + 1043928*g**3 - 181629900924*g**2 + 10533505011223160*g + 31602149730964014.
-2*(g - 173989)**3*(g + 3)
Solve -24*w**4 + 2276*w**3 - 41332*w**2 - 99688*w - 15456 = 0 for w.
-2, -1/6, 28, 69
Factor -3*y**4 + 36425122*y**3 - 12141707*y**2.
-y**2*(y - 12141707)*(3*y - 1)
Factor 5*s**2 - 1436220360*s + 103136446123926480.
5*(s - 143622036)**2
Suppose -c**3/3 + 12580*c**2/3 - 12577*c = 0. What is c?
0, 3, 12577
Factor -3*w**2/7 - 186796392*w/7 - 2907741005351472/7.
-3*(w + 31132732)**2/7
Factor f**2/3 + 253441*f + 3041276/3.
(f + 4)*(f + 760319)/3
Solve 3*j**3/4 + 17937*j**2/2 + 1180473*j/4 - 608175/2 = 0 for j.
-11925, -34, 1
Find q such that -49*q**5 - 204876*q**4 + 1522471*q**3/4 - 589829*q**2/4 - 108759*q/4 - 4183/4 = 0.
-4183, -1/14, 1
Factor -x**2/6 + 89320870*x/3 - 178641739/6.
-(x - 178641739)*(x - 1)/6
What is c in 118*c**3/7 - 867542*c**2/7 + 911530*c/7 - 44106/7 = 0?
3/59, 1, 7351
Determine a, given that -81*a**5 + 93315*a**4/4 - 1702674*a**3 + 6518007*a**2/2 + 4939077*a - 184041/4 = 0.
-1, 1/108, 3, 143
Let -4*t**2 - 869956*t + 174151200 = 0. Calculate t.
-217689, 200
What is g in 196*g**3 - 271052*g**2 + 2401608*g + 197856 = 0?
-4/49, 9, 1374
Suppose -2*v**2/17 - 7839330*v/17 - 7839328/17 = 0. Calculate v.
-3919664, -1
Find g, given that 3*g**3/5 + 467016*g**2/5 - 3736272*g/5 + 1494528 = 0.
-155680, 4
Let -2*a**4/7 - 3434*a**3/7 - 1894750*a**2/7 - 347498206*a/7 - 3597756888/7 = 0. Calculate a.
-804, -451, -11
Factor -4*o**2 - 12928*o + 1209572.
-4*(o - 91)*(o + 3323)
Suppose -5*p**4 + 43375*p**3 - 95717615*p**2 + 7118606625*p - 7022932380 = 0. Calculate p.
1, 76, 4299
Factor -b**2/6 + 17755*b/3 - 342983/2.
-(b - 35481)*(b - 29)/6
Determine z so that 4*z**3/9 - 640*z**2 + 706304*z/3 - 232239104/9 = 0.
248, 944
Factor -7*l**4 + 202*l**3 - 1819*l**2 + 4776*l + 720.
-(l - 12)**2*(l - 5)*(7*l + 1)
Factor 5*y**2/4 + 3870*y - 8908865.
5*(y - 1538)*(y + 4634)/4
Solve 3*c**4/7 - 591*c**3/7 + 29997*c**2/7 - 162129*c/7 + 18960 = 0.
1, 5, 79, 112
Find a, given that 455*a**4/2 - 933663*a**3/2 + 239486868*a**2 - 1579014*a = 0.
0, 3/455, 1026
Factor 248*b**2 + 485*b - 777.
(b + 3)*(248*b - 259)
Solve w**2/5 - 129787868*w/5 + 4211222669996356/5 = 0.
64893934
Factor -2*x**3/7 - 5048*x**2 - 166425050*x/7 - 89827072500/7.
-2*(x + 618)*(x + 8525)**2/7
Find h such that 9*h**2 - 369392*h - 164176 = 0.
-4/9, 41044
Find i, given that 2*i**5 - 1164*i**4 - 25404*i**3 + 45536*i**2 + 906234*i - 1772820 = 0.
-21, -7, 2, 5, 603
Solve -5*s**3 - 1999635*s**2 - 33992260*s + 35991900 = 0.
-399910, -18, 1
Solve -5*a**5 - 24003*a**4 - 28934049*a**3 - 304267481*a**2 - 307331190*a + 2890956600 = 0.
-2395, -7, -6, 12/5
Suppose 3*f**3 + 67587*f**2/4 - 351840*f + 1339761/4 = 0. What is f?
-5653, 1, 79/4
Factor 15*i**2/8 + 26409*i/4 + 10563/8.
3*(i + 3521)*(5*i + 1)/8
What is i in 3*i**5/4 + 1467*i**4/2 + 590523*i**3/4 - 15971886*i**2 + 89261568*i + 105380352 = 0?
-528, -1, 7, 72
Factor -4*d**3 - 323744*d**2 + 4*d + 323744.
-4*(d - 1)*(d + 1)*(d + 80936)
Solve 2*j**2 + 549616*j + 33519134 = 0 for j.
-274747, -61
Factor 5*t**3/3 - 6055204*t**2 + 7266244*t/3.
t*(t - 3633122)*(5*t - 2)/3
Factor -5*o**3 + 20518360*o**2 + 41036740*o.
-5*o*(o - 4103674)*(o + 2)
Factor c**2/7 - 17705530*c/7 - 53116599/7.
(c - 17705533)*(c + 3)/7
Solve -8*s**4 + 383060*s**3 - 4580196752*s**2 - 126209217180*s - 431529202800 = 0.
-47/2, -4, 23955
Factor -33*p**2 + 3020976*p + 823905.
-3*(p - 91545)*(11*p + 3)
Find d such that -4*d**2 + 58537424*d - 214164375534736 = 0.
7317178
Suppose 2*h**5/5 - 177*h**4/5 - 15991*h**3/5 + 57891*h**2/5 - 16843*h/5 - 24882/5 = 0. Calculate h.
-58, -1/2, 1, 3, 143
Determine p so that -3*p**4 - 1929*p**3 + 2557449*p**2 - 527759979*p - 1065765138 = 0.
-1363, -2, 361
Solve -4*s**2 - 103121208*s - 664623971211204 = 0.
-12890151
Determine q so that -2*q**3 + 28084*q**2 - 98382610*q + 102065054528 = 0.
2333, 9376
Let 2*k**4/13 - 87822*k**3/13 - 878442*k**2/13 + 966262*k/13 = 0. Calculate k.
-11, 0, 1, 43921
Let 5*v**3 - 3333360*v**2 + 39999780*v - 119998800 = 0. What is v?
6, 666660
Determine w, given that 18*w**3 + 600980*w**2 + 5016279896*w - 1114758544 = 0.
-16694, 2/9
Find p such that -4*p**4 + 164*p**3 + 10248*p**2 + 29536*p + 19456 = 0.
-32, -2, -1, 76
Find q, given that -3*q**5 + 154836*q**4 - 1998468081*q**3 + 15976443588*q**2 + 17975066508*q = 0.
-1, 0, 9, 25802
Factor 3*k**3 + 3378381*k**2 + 951119825904*k - 951123204288.
3*(k - 1)*(k + 563064)**2
Suppose 2*u**4/7 + 87800*u**3/7 - 1141660*u**2/7 + 3425160*u/7 - 2371302/7 = 0. What is u?
-43913, 1, 3, 9
Solve -y**5/2 + 23*y**4/2 + 106*y**3 - 864*y - 1080 = 0.
-6, -2, 3, 30
Suppose 2*k**4/9 + 75002*k**3/9 + 299986*k**2/9 + 374974*k/9 + 49996/3 = 0. Calculate k.
-37497, -2, -1
Factor -o**3/11 + 20340*o**2/11 + 61029*o/11.
-o*(o - 20343)*(o + 3)/11
Factor y**2/5 + 615662*y/5 - 28322568/5.
(y - 46)*(y + 615708)/5
Factor 734250*v**2 - 25698754*v + 140.
2*(v - 35)*(367125*v - 2)
Suppose 2*g**2 + 851382*g + 851380 = 0. What is g?
-425690, -1
Determine o, given that -6*o**2/5 + 178532244*o/5 - 1328073422819814/5 = 0.
14877687
Determine w so that -4*w**2 + 178608*w + 9835540 = 0.
-55, 44707
Let -j**3 + 63485*j**2 - 253912*j - 761772 = 0. Calculate j.
