8
Suppose -4*f**2/3 + 662572*f/3 = 0. Calculate f.
0, 165643
Factor -k**2/2 - 14449*k/2 - 11367822.
-(k + 1797)*(k + 12652)/2
Let 2*d**3 + 116246*d**2 - 4419514*d + 41992242 = 0. Calculate d.
-58161, 19
Find g such that g**3/6 + 25*g**2/6 - 1289*g/3 - 2624/3 = 0.
-64, -2, 41
Factor -m**3 + 15403*m**2 + 555769*m + 540365.
-(m - 15439)*(m + 1)*(m + 35)
Solve h**3/4 - 18847*h**2/2 - 245150*h - 1131600 = 0 for h.
-20, -6, 37720
Let 5*j**2 + 87136010*j + 87136005 = 0. Calculate j.
-17427201, -1
Factor 5*s**3 - 35270*s**2 - 388525*s - 353250.
5*(s - 7065)*(s + 1)*(s + 10)
Find w such that -w**2/4 + 7833*w/2 + 92751507/4 = 0.
-4581, 20247
Find t, given that 5*t**3 - 39884860*t**2 + 79769705*t - 39884850 = 0.
1, 7976970
Solve 15*a**5/4 - 4362457*a**4 + 5074957906971*a**3/4 - 4736603376659*a**2/2 + 930402396240*a + 169164177800 = 0 for a.
-2/15, 1, 581660
Determine g so that -8*g**5 - 8248*g**4 + 210550*g**3 - 693900*g**2 - 7931250*g - 11880000 = 0.
-1056, -5/2, 15
Find g such that -g**3 - 4272*g**2 - 51107*g + 55380 = 0.
-4260, -13, 1
Suppose c**2/3 + 50318*c/3 + 33544 = 0. What is c?
-50316, -2
Factor 5*u**2 + 29272220*u + 42843143186420.
5*(u + 2927222)**2
Determine x so that -x**4 - 690*x**3 + 44587*x**2 - 911124*x + 6083100 = 0.
-751, 18, 25
Solve 3*c**2 - 6963*c - 2642388 = 0.
-332, 2653
What is v in 2*v**4 - 266729*v**3 - 400100*v**2 + 266732*v = 0?
-2, 0, 1/2, 133366
Determine f so that -f**5 - 26178548*f**4 - 228438809248464*f**3 - 664466513040135883312*f**2 - 1328932112325244201136*f = 0.
-8726182, -2, 0
Let -t**3/3 - 21085*t**2/3 + 400916*t/3 - 422080 = 0. What is t?
-21104, 4, 15
Factor 4*l**4/9 + 73561816*l**3/9 - 367809280*l**2/3 + 5517140200*l/9 - 9195234500/9.
4*(l - 5)**3*(l + 18390469)/9
What is j in 3*j**4 + 4041*j**3 + 64113*j**2 + 299799*j + 431244 = 0?
-1331, -9, -4, -3
Find c, given that -10*c**4 + 3242*c**3 + 250*c**2 - 81050*c = 0.
-5, 0, 5, 1621/5
Solve 3*l**2 - 38162700*l + 121365972607500 = 0.
6360450
Suppose -2*s**4/11 + 72412*s**3/11 + 2101574*s**2/11 + 2029160*s/11 = 0. Calculate s.
-28, -1, 0, 36235
Factor 2*n**3/5 - 103566*n**2/5 + 724864*n/5.
2*n*(n - 51776)*(n - 7)/5
Factor o**3/6 - 1265*o**2/6 - 137381*o.
o*(o - 1739)*(o + 474)/6
Suppose s**2/5 - 41894952*s/5 + 438796750770576/5 = 0. What is s?
20947476
Factor -4*f**3 + 26916*f**2 - 403016*f + 1181664.
-4*(f - 6714)*(f - 11)*(f - 4)
Solve -5*g**2/2 - 370465*g/2 + 2037860 = 0 for g.
-74104, 11
Suppose -v**3/2 + 43258901*v**2/2 - 233916532021796*v - 701749790730456 = 0. Calculate v.
-3, 21629452
Let -5*t**3/3 - 342850*t**2/3 + 1714405*t/3 + 685750 = 0. What is t?
-68575, -1, 6
Let -2*j**5 + 22060*j**4/3 + 95894*j**3/3 - 691948*j**2/3 - 294608*j/3 + 157056 = 0. Calculate j.
-8, -1, 2/3, 4, 3681
Factor -u**3 + 30063*u**2 + 3228190*u.
-u*(u - 30170)*(u + 107)
Factor 5*b**3 - 555250*b**2 + 14433965*b - 93815280.
5*(b - 111024)*(b - 13)**2
Determine l so that 3*l**5 + 1173*l**4 - 18069*l**3 - 934413*l**2 + 18066*l + 933240 = 0.
-404, -22, -1, 1, 35
Factor -2*b**2/13 + 573324*b/13 - 1146640/13.
-2*(b - 286660)*(b - 2)/13
Solve -i**2 + 31410948*i - 246661913564676 = 0 for i.
15705474
Factor -3*p**3 - 14601*p**2 - 1233753*p - 1219155.
-3*(p + 1)*(p + 85)*(p + 4781)
What is n in n**3 - 3921*n**2 + 2662203*n + 2666125 = 0?
-1, 875, 3047
Factor 4*f**4 - 121766568*f**3 + 926693202356388*f**2 + 5560162501836096*f + 8340245396603136.
4*(f - 15220824)**2*(f + 3)**2
Find m, given that m**4/2 + 44411*m**3/2 + 3764181*m**2 + 163521792*m + 312164496 = 0.
-44241, -84, -2
Suppose -3*s**2 + 673056*s + 71377644 = 0. What is s?
-106, 224458
Solve 2*i**2/3 - 53434*i/3 + 1494584/3 = 0 for i.
28, 26689
Factor 5*y**5 - 11710*y**4 + 7833280*y**3 - 1099887200*y**2.
5*y**2*(y - 1076)**2*(y - 190)
Suppose 2*s**3 + 317850*s**2 + 128799846*s + 13064818942 = 0. Calculate s.
-158519, -203
Let 8*u**4 - 892*u**3 - 3212*u**2 - 932*u + 1380 = 0. Calculate u.
-3, -1, 1/2, 115
Factor y**2 - 357273*y + 3215376.
(y - 357264)*(y - 9)
Solve -f**2/6 - 168163*f/6 - 84080 = 0.
-168160, -3
Suppose 2*j**3/5 - 3126*j**2/5 - 57420*j = 0. Calculate j.
-87, 0, 1650
Let 2*p**3 - 61806*p**2 + 476662230*p + 12914976150 = 0. What is p?
-27, 15465
Find g such that 3*g**5 - 252*g**4 - 9501*g**3 + 102150*g**2 - 92400*g = 0.
-35, 0, 1, 8, 110
Let -3*s**5/4 - 285*s**4/4 + 7449*s**3/4 + 61029*s**2/4 - 121095*s/2 = 0. What is s?
-115, -9, 0, 3, 26
Suppose p**2 + 248622*p - 2983608 = 0. Calculate p.
-248634, 12
Determine c so that -c**3/3 + 699*c**2 + 21109*c/3 - 27391 = 0.
-13, 3, 2107
Suppose 2*i**2/19 - 121852*i/19 + 44691066/19 = 0. What is i?
369, 60557
Suppose -3*u**5/7 + 2811*u**4 + 36606*u**3 + 433752*u**2/7 = 0. What is u?
-11, -2, 0, 6572
Suppose 6*n**2/11 - 114174*n/11 + 8416020/11 = 0. What is n?
74, 18955
Determine f so that 4*f**2 - 32708*f - 393072 = 0.
-12, 8189
Factor 5*v**3 - 264610*v**2 - 1058520*v.
5*v*(v - 52926)*(v + 4)
What is b in 3*b**3 + 505941*b**2 + 41472033*b + 850073295 = 0?
-168565, -41
Suppose -k**3/3 + 3157*k**2/3 - 41685*k + 389625 = 0. What is k?
15, 25, 3117
Factor 196*s**2 - 1849260*s + 264176.
4*(7*s - 66044)*(7*s - 1)
Factor -2*a**4/7 - 8116*a**3/7 - 80960*a**2/7.
-2*a**2*(a + 10)*(a + 4048)/7
Factor 2*p**2/15 - 154192*p/15 + 616736/15.
2*(p - 77092)*(p - 4)/15
Find f, given that -4*f**5 - 9332*f**4 - 276968*f**3 - 1400992*f**2 - 1768704*f = 0.
-2303, -24, -4, -2, 0
Determine u, given that -2*u**3/11 + 346682*u**2/11 - 6239548*u/11 - 13865840/11 = 0.
-2, 20, 173323
Factor -2175*i**2 - 4402*i - 104.
-(i + 2)*(2175*i + 52)
Factor -2*l**3/21 + 160102*l**2/21 - 3187285120*l/21 - 673154264200/21.
-2*(l - 40130)**2*(l + 209)/21
Factor 3*j**2 - 30213408*j - 181280556.
3*(j - 10071142)*(j + 6)
Solve -4*j**2 - 76876*j + 1539120 = 0 for j.
-19239, 20
Factor 1815*u**3 - 19467558*u**2 - 7079148*u/5 - 128712/5.
3*(u - 10726)*(55*u + 2)**2/5
What is n in -1948*n**4 - 48790*n**3 - 93806*n**2 - 49034*n - 2070 = 0?
-23, -1, -45/974
Solve -31323*i**5 + 375879*i**4 - 657819*i**3 + 313293*i**2 - 30*i = 0.
0, 1/10441, 1, 10
Suppose 4*l**3/7 + 301512*l**2/7 + 154810476*l/7 - 22158856 = 0. Calculate l.
-74861, -518, 1
Find t, given that 4*t**4 + 3172*t**3 - 6396*t**2 - 28548*t + 57240 = 0.
-795, -3, 2, 3
Suppose 3*p**2 + 405*p - 142968 = 0. What is p?
-296, 161
Suppose -5*w**4 + 5790*w**3 - 1140145*w**2 - 7208340*w + 31730400 = 0. What is w?
-9, 3, 260, 904
Factor 7*d**3 - 1962*d**2 - 1522423*d + 435138.
(d - 627)*(d + 347)*(7*d - 2)
Factor -2*q**2/3 + 13232*q/3 + 829478.
-2*(q - 6799)*(q + 183)/3
Let -51*u**3 - 1926506*u**2 - 1208773*u - 188870 = 0. What is u?
-37774, -1/3, -5/17
Factor 15*b**2 + 2509747704*b - 1003899084.
3*(b + 167316514)*(5*b - 2)
Determine v so that 5*v**2 - 154233690*v + 154233685 = 0.
1, 30846737
Suppose -2*q**2/7 + 6962*q/7 + 37643220/7 = 0. What is q?
-2934, 6415
Factor 4*x**4 + 1064*x**3 + 44780*x**2 + 197800*x.
4*x*(x + 5)*(x + 46)*(x + 215)
Find p, given that 2*p**2/3 + 1192*p/3 + 55936 = 0.
-368, -228
Solve 5*n**4 + 260*n**3 - 184665*n**2 - 2811600*n = 0 for n.
-213, -15, 0, 176
Suppose n**5/6 + 18985*n**4/3 + 435418813*n**3/6 + 237276390530*n**2 + 234303680426406*n = 0. What is n?
-16746, -2239, 0
Factor -2620171*d**4/3 - 15721052*d**3/3 - 10480736*d**2 - 20961680*d/3 - 208/3.
-(d + 2)**3*(2620171*d + 26)/3
Let 2*t**3 + 4910*t**2 - 5668432*t = 0. What is t?
-3311, 0, 856
Suppose 2*n**5 + 9826*n**4 - 177684*n**3 - 828584*n**2 - 867856*n = 0. Calculate n.
-4931, -2, 0, 22
Let 4*i**3/7 + 8864*i**2/7 + 43452*i - 366408 = 0. What is i?
-2181, -42, 7
Factor 3*q**2/4 - 80973*q/4 + 8448306.
3*(q - 26567)*(q - 424)/4
Factor 3*r**3/4 - 577005*r**2/2 + 222612183*r/4.
3*r*(r - 384477)*(r - 193)/4
Find l such that 2*l**4/5 - 754*l**3/5 - 202296*l**2/5 + 852824*l - 4335520 = 0.
-196, 10, 553
Factor 3*h**2 - 1039743*h - 2079498.
3*(h - 346583)*(h + 2)
Determine b, given that 5*b**4 - 223020*b**3 + 7131520*b**2 = 0.
0, 32, 44572
Factor 2*r**3/3 - 12142324*r**2 + 55288499903040*r + 331731145126144/3.
2*(r - 9106744)**2*(r + 2)/3
What is o in 2*o**3 - 19312*o**2 - 1751480*o - 27288800 = 0?
-70, -20, 9746
What is j in -4*j**4 - 213440*j**3 + 36*j**2 + 1920960*j = 0?
-53360, -3, 0, 3
Factor -h**2/5 + 584597*h/5 + 11107704/5.
-(h - 584616)*(h + 19)/5
Let -3*z**3 + 6315*z**2 - 4027800*z + 810337500 = 0. W