*4/13 + 846*a**3/13 - 25536*a**2/13 + 200192*a/13.
-2*a*(a - 391)*(a - 16)**2/13
Determine m so that m**4/3 + 28*m**3/3 - 400*m**2 - 5104*m/3 - 5200/3 = 0.
-50, -2, 26
Find n, given that -3*n**5/5 - 762*n**4/5 - 61671*n**3/5 - 1679568*n**2/5 - 13763676*n/5 + 3101136 = 0.
-106, -23, -20, 1
Factor j**3/3 + 417*j**2 - 5692195*j + 21149351525/3.
(j - 2005)**2*(j + 5261)/3
What is d in 4*d**2 + 49960*d + 26404644 = 0?
-11937, -553
Suppose 3*b**4/2 - 3852393*b**3/2 + 11557149*b**2/2 + 3852393*b/2 - 5778576 = 0. Calculate b.
-1, 1, 3, 1284128
Suppose 2*f**4 - 7876*f**3 + 7395584*f**2 + 713898372*f - 721286082 = 0. What is f?
-89, 1, 2013
Factor 2*a**2/3 + 1545418*a/3 - 12363472/3.
2*(a - 8)*(a + 772717)/3
Suppose -4*m**3 - 6556*m**2 - 1265116*m + 3854460 = 0. Calculate m.
-1415, -227, 3
Solve -3*f**4 + 162*f**3 + 4725*f**2 = 0 for f.
-21, 0, 75
Let -1680*x**5 - 7866*x**4 - 9741*x**3 - 3906*x**2 - 351*x = 0. What is x?
-3, -1, -39/70, -1/8, 0
Factor -4*r**2 + 53240*r - 50638596.
-4*(r - 12279)*(r - 1031)
Factor 3*a**2/5 - 984831*a/5 - 590904.
3*(a - 328280)*(a + 3)/5
Determine a so that -2*a**5/3 + 39678*a**4 - 119022*a**3 - 1071242*a**2/3 - 198380*a = 0.
-1, 0, 5, 59514
Solve 2*a**3/17 + 115830*a**2/17 + 2306400*a + 195755000 = 0 for a.
-57575, -170
Let 12*v**4 - 1329477*v**3 - 332370*v**2 = 0. What is v?
-1/4, 0, 110790
Solve -3*f**4 + 46776*f**3 - 38221746*f**2 + 76303176*f - 38128203 = 0 for f.
1, 863, 14727
Suppose a**3 + 362651*a**2 - 3263992*a - 18858320 = 0. What is a?
-362660, -4, 13
Find x such that -x**3/2 - 5146*x**2 - 15973048*x - 15607589216 = 0.
-5548, -2372
Find h such that -2*h**4 - 11540*h**3 - 1356472*h**2 - 2666800*h = 0.
-5650, -118, -2, 0
What is c in -3*c**2 - 259343118*c - 5604904404496827 = 0?
-43223853
Determine p so that p**5/4 - 910470*p**4 - p**3/2 + 1820940*p**2 + p/4 - 910470 = 0.
-1, 1, 3641880
Determine g so that 9*g**3 + 2466367*g**2/3 - 9865792*g/3 + 9865900/3 = 0.
-2466475/27, 2
Solve -l**3/5 + 328614*l**2/5 + 23336497*l/5 + 9071706 = 0.
-69, -2, 328685
Factor 5*t**3 + 117674605*t**2 + 235349195*t + 117674595.
5*(t + 1)**2*(t + 23534919)
Suppose 3*a**2/2 + 6897*a/2 + 1254357 = 0. What is a?
-1846, -453
Let -5*m**2 + 6030*m - 750825 = 0. What is m?
141, 1065
Find m, given that m**2/9 + 1681858*m/9 + 186873 = 0.
-1681857, -1
Factor -31131*p**2 - 8218587*p/4 - 99/2.
-3*(p + 66)*(41508*p + 1)/4
Suppose 2*r**2/5 - 3498576*r/5 + 55976704/5 = 0. What is r?
16, 1749272
Solve -4*l**5/3 - 14776*l**4/3 - 13865524*l**3/3 - 406221184*l**2/3 - 3184748800*l/3 - 2792378368/3 = 0.
-1832, -16, -13, -1
Suppose -f**2/5 - 1689*f - 193706/5 = 0. Calculate f.
-8422, -23
Determine k so that 2*k**4/25 - 38926*k**3/25 + 4717684*k**2/25 + 29396272*k/25 + 39610368/25 = 0.
-4, -2, 128, 19341
Solve p**2/6 - 2273*p/6 - 94129 = 0 for p.
-226, 2499
Factor 60*p**2 + 1221008*p - 1058252.
4*(p + 20351)*(15*p - 13)
Factor d**2/2 - 36778*d + 3014115/2.
(d - 73515)*(d - 41)/2
Factor 3*c**2/4 + 654511*c/4 + 109085/2.
(c + 218170)*(3*c + 1)/4
Let 33*z**4 - 14423*z**3 - 13580*z**2 + 876*z = 0. What is z?
-1, 0, 2/33, 438
Factor 5*d**3 + 1258740*d**2 + 3776185*d + 2517450.
5*(d + 1)*(d + 2)*(d + 251745)
What is m in -2*m**5 + 14842*m**4 - 7540236*m**3 + 1011410056*m**2 - 4826046512*m - 5845011648 = 0?
-1, 6, 266, 6884
Factor -3*f**3 - 6319323*f**2 - 6319320*f.
-3*f*(f + 1)*(f + 2106440)
Factor 3*u**4/7 + 51228*u**3/7 + 15863751*u**2/7 + 1239499614*u/7.
3*u*(u + 157)**2*(u + 16762)/7
What is t in -270*t**5 + 7197*t**4/2 + 50091*t**3/2 + 45681*t**2/2 - 82395*t/2 - 10017 = 0?
-3, -2/9, 1, 371/20
Factor -23*t**2/2 + 338699*t - 29452.
-(t - 29452)*(23*t - 2)/2
Let q**2/7 + 42278454*q/7 + 6039779 = 0. What is q?
-42278453, -1
What is m in 5*m**3 + 2241300*m**2 + 109812165*m + 210659170 = 0?
-448211, -47, -2
Solve -4*c**2/5 - 12104*c/5 - 7145952/5 = 0.
-2222, -804
Find y, given that 5*y**3 - 1920*y**2 + 27855*y - 66420 = 0.
3, 12, 369
Factor -u**2/9 - 4622902*u/9 - 1540967/3.
-(u + 1)*(u + 4622901)/9
Factor -2*t**2 - 26126*t + 261460.
-2*(t - 10)*(t + 13073)
Determine d, given that -5*d**4 - 56740*d**3 - 219782070*d**2 - 309126855060*d - 71923582913805 = 0.
-3687, -287
Factor -2*v**2/5 + 874732*v/5 + 874734/5.
-2*(v - 437367)*(v + 1)/5
Determine b, given that -5*b**4 + 2470*b**3 + 100075*b**2 + 533220*b + 766080 = 0.
-32, -3, 532
Solve 20*h**2 - 1922975*h - 5769105 = 0 for h.
-3, 384607/4
Factor -3*s**2 + 13903914*s.
-3*s*(s - 4634638)
Let z**2/2 - 60032*z - 120065/2 = 0. Calculate z.
-1, 120065
Factor -5*m**3 - 51290*m**2 + 513320*m - 821440.
-5*(m - 8)*(m - 2)*(m + 10268)
Factor -3610417*f**2/2 - f/3.
-f*(10831251*f + 2)/6
Suppose -4*j**2 - 4885016*j + 83046428 = 0. What is j?
-1221271, 17
Factor -4*w**3/3 + 130558472*w**2/3.
-4*w**2*(w - 32639618)/3
Suppose 3*w**3 + 699*w**2 + 50046*w + 1023960 = 0. What is w?
-106, -92, -35
Factor -k**4/4 - 46967*k**3/4 + 105696*k**2.
-k**2*(k - 9)*(k + 46976)/4
Solve 2*v**4/23 + 10192*v**3/23 + 17132544*v**2/23 + 9187326720*v/23 - 525515088384/23 = 0.
-1716, 52
Find o such that -3*o**2/5 + 4143*o + 1106322/5 = 0.
-53, 6958
Solve -3*k**4/5 - 57672*k**3/5 - 275668104*k**2/5 + 14451911136*k/5 - 188383037232/5 = 0.
-9638, 26
Determine u, given that -u**5/5 + 1168*u**4/5 - 42014*u**3/5 + 189104*u**2/5 - 256833*u/5 + 108576/5 = 0.
1, 3, 32, 1131
Suppose -2*k**2/9 - 6871504*k/9 + 54972160/9 = 0. What is k?
-3435760, 8
Let 2*a**4/3 - 86274202*a**3/15 - 10352906*a**2 - 51764534*a/15 + 17254844/15 = 0. Calculate a.
-1, 1/5, 8627422
Let i**2/5 - 91108*i/5 - 2551808/5 = 0. Calculate i.
-28, 91136
Determine v, given that -2*v**3/17 + 776096*v**2/17 + 2328314*v/17 - 3104408/17 = 0.
-4, 1, 388051
What is d in -3*d**3/7 + 2181696*d**2/7 + 222556401*d/7 + 5675387202/7 = 0?
-51, 727334
Factor -2*u**2/15 - 4531864*u/15 + 1510622/5.
-2*(u - 1)*(u + 2265933)/15
Factor 3*a**2 - 487396923*a.
3*a*(a - 162465641)
Suppose -25*r**5 + 10910*r**4 - 727935*r**3 - 466970*r**2 + 1771660*r - 587640 = 0. Calculate r.
-2, 2/5, 1, 83, 354
Let -2*h**4/11 - 157972*h**3/11 - 631866*h**2/11 - 789824*h/11 - 315928/11 = 0. What is h?
-78982, -2, -1
Determine h so that -h**2/11 - 3493933*h/11 = 0.
-3493933, 0
Determine t, given that -14*t**5 - 8886*t**4 - 49946*t**3 + 234894*t**2 - 221336*t + 45288 = 0.
-629, -9, 2/7, 1, 2
Factor 5*y**3 + 12878940*y**2 + 128789025*y + 321972250.
5*(y + 5)**2*(y + 2575778)
Factor -2*h**2/19 - 32757916*h/19 - 134135132582882/19.
-2*(h + 8189479)**2/19
Suppose 45*l**3/4 - 36125*l**2 - 1273315*l - 2402040 = 0. Calculate l.
-296/9, -2, 3246
Suppose -2*t**4/11 - 9222*t**3/11 + 1692*t**2 + 738080*t/11 = 0. What is t?
-4613, -8, 0, 10
Factor -162*n**3 + 7128360*n**2 - 78415920200*n.
-2*n*(9*n - 198010)**2
Factor -4*p**3/9 + 7268*p**2 - 130716*p + 588060.
-4*(p - 16335)*(p - 9)**2/9
Solve -o**3/2 + 14138345*o**2/2 - 24986603451964*o + 24986596382792 = 0 for o.
1, 7069172
Factor 2*u**5 - 9540*u**4 + 14351472*u**3 - 8815598172*u**2 + 1930736296494*u.
2*u*(u - 2619)*(u - 717)**3
Determine w so that 2*w**2/7 - 151590092*w/7 + 2872444499071058/7 = 0.
37897523
Let -2*u**5/3 - 10859*u**4 - 16285*u**3/3 + 16288*u**2 = 0. What is u?
-16288, -3/2, 0, 1
Find r such that r**2 - 123687881*r - 123687882 = 0.
-1, 123687882
Suppose -3*b**4 - 39426*b**3 - 184888647*b**2 - 363734577204*b - 255343610605548 = 0. What is b?
-4538, -2033
Suppose x**5 - 114579*x**4 + 3283976478*x**3 - 108238581818*x**2 - 226329551391*x - 114806878515 = 0. Calculate x.
-1, 35, 57273
Let -911580*l**5 + 8432091*l**4 + 17092347*l**3 - 228122445*l**2 + 55828269*l + 1470 = 0. Calculate l.
-5, -2/75965, 1/4, 7
Find x such that 7*x**5/3 + 2483*x**4/3 - 452768*x**3 - 972188*x**2/3 + 388592*x/3 = 0.
-652, -1, 0, 2/7, 298
What is l in 2*l**3/7 - 720*l**2/7 + 77362*l/7 - 2588580/7 = 0?
73, 90, 197
Determine f so that -270750*f**5 - 16952275*f**4 - 263936820*f**3 + 44461620*f**2 = 0.
-2982/95, 0, 1/6
Solve -2*v**2 + 61112*v + 1773930 = 0 for v.
-29, 30585
Factor 34497*x**2/7 + 701806962*x/7 - 122064/7.
3*(x + 20344)*(11499*x - 2)/7
Factor -3*c**2 - 34578*c + 34712085.
-3*(c - 929)*(c + 12455)
Determine r, given that 10*r**3/9 - 30034*r**2/9 + 933016*r/9 + 190208/3 = 0.
-3/5, 32, 2972
Suppose -2*q**3 + 42830*q**2 - 3583086*q - 11134782 = 0. Calculate q.
-3, 87, 21331
Factor -f**2/4 - 4506763*