884741*m**3/3 + 1777439*m**2/3 - 296682*m = 0.
-2259, -394, 0, 1
Factor -9*g**2 - 126744*g + 44975193.
-3*(g + 14429)*(3*g - 1039)
Solve 3*r**2 - 7585566*r + 30342216 = 0 for r.
4, 2528518
Find y, given that -4*y**2/3 + 2963290*y/9 + 493882/9 = 0.
-1/6, 246941
Factor 4*a**2/7 + 36236*a/7 + 113608.
4*(a + 22)*(a + 9037)/7
What is j in 2*j**4/13 + 25264*j**3/13 + 66443952*j**2/13 - 84253924160*j/13 + 22243649607200/13 = 0?
-6806, 490
Suppose 2*r**4 - 19778988*r**3 + 890051760*r**2 - 13350762900*r + 66753780750 = 0. Calculate r.
15, 9889449
Let -l**2 - 237548*l - 2850432 = 0. What is l?
-237536, -12
Factor -d**3 + 1765*d**2 - 778344*d.
-d*(d - 904)*(d - 861)
Solve -2*j**2/5 + 20078*j/5 + 1631252 = 0.
-391, 10430
Let -178*r**2 - 8316*r + 2350 = 0. What is r?
-47, 25/89
Factor 2*n**2/3 + 140890*n/3 + 140884.
2*(n + 3)*(n + 70442)/3
Solve g**4/3 - 400*g**3/3 - 2836*g**2 + 15024*g + 40320 = 0 for g.
-24, -2, 6, 420
What is m in -2*m**4/9 - 30286*m**3/9 + 2251036*m**2/9 - 1825864*m + 2678192 = 0?
-15217, 2, 6, 66
Factor -2*a**2/7 - 26081448*a/7 - 85030241222088/7.
-2*(a + 6520362)**2/7
Factor -f**3/2 + 1175435*f**2/2.
-f**2*(f - 1175435)/2
Factor 4*s**2/3 - 119130104*s/3 + 886998854940676/3.
4*(s - 14891263)**2/3
Let -2*v**5/7 + 7472*v**4 - 21373850*v**3/7 + 2924871084*v**2/7 - 132341593176*v/7 - 19326841488 = 0. Calculate v.
-1, 138, 25739
Find p, given that -5*p**5/2 - 82735*p**4 - 1368684745*p**3/2 + 2743658710*p**2 + 41080410150*p = 0.
-16549, -6, 0, 10
Suppose -4*b**4/3 - 1004*b**3 - 490972*b**2/3 - 7586980*b + 23254928/3 = 0. Calculate b.
-548, -103, 1
Factor 4*b**2 + 27871304*b + 27871300.
4*(b + 1)*(b + 6967825)
What is g in 2*g**3/5 + 10936*g**2/5 + 1057474*g - 5967443580 = 0?
-3385, 1302
Determine t so that 2*t**4/11 - 4438*t**3/11 - 31182*t**2/11 + 39942*t/11 + 280476/11 = 0.
-7, -3, 3, 2226
Factor -3*j**3 + 215409*j**2 - 51139893*j + 3040295895.
-3*(j - 71565)*(j - 119)**2
Factor -2*c**3/11 - 26108*c**2/11 + 916230*c/11.
-2*c*(c - 35)*(c + 13089)/11
Suppose -21*l**3 - 15730248*l**2 - 6741531*l = 0. Calculate l.
-749059, -3/7, 0
Determine l, given that 2*l**3/9 - 60734*l**2/9 + 461714390*l/9 - 3223079006/3 = 0.
21, 15173
Factor -5*u**3/4 + 191125*u**2/4 + 3922265*u/2.
-5*u*(u - 38266)*(u + 41)/4
Solve d**2/6 - 69697964*d/3 + 2428903092872648/3 = 0 for d.
69697964
Solve -336*q**5 + 1098648*q**4 + 7940955*q**3 + 8169345*q**2 + 708156*q - 1061748 = 0 for q.
-6, -3/4, 2/7, 3277
Factor h**2/3 + 474844*h/3 + 2374195/3.
(h + 5)*(h + 474839)/3
Factor -y**3/3 - 350*y**2/3 + 109207*y/3 - 850744/3.
-(y - 193)*(y - 8)*(y + 551)/3
Determine b, given that -b**2 + 6137*b - 177132 = 0.
29, 6108
Factor 3*j**3 + 6613*j**2 - 552810*j + 365600.
(j - 80)*(j + 2285)*(3*j - 2)
Suppose 5*f**4/3 - 81167*f**3/3 + 200142*f**2 - 1038484*f/3 + 324520/3 = 0. Calculate f.
2/5, 2, 5, 16226
What is x in -3*x**3/5 + 23547*x**2/5 - 235233*x/5 + 493857/5 = 0?
3, 7, 7839
Suppose -2*q**4 + 10014*q**3 - 40030*q**2 + 30018*q = 0. Calculate q.
0, 1, 3, 5003
Let 4*k**3 + 213726068*k**2 + 2854927115784320*k + 2854926902058256 = 0. What is k?
-26715758, -1
Let -u**5/2 - 47*u**4/2 + 1165*u**3/2 + 20975*u**2/2 - 63750*u = 0. What is u?
-60, -17, 0, 5, 25
Factor 4*z**2/5 + 21716*z + 3578784/5.
4*(z + 33)*(z + 27112)/5
Factor 3*t**2 - 62055*t + 1363758.
3*(t - 20663)*(t - 22)
Find v such that 6*v**3/17 + 4366*v**2/17 + 206008*v/17 + 135400/17 = 0.
-677, -50, -2/3
Let s**3/5 - 483909*s**2/5 - 2903481*s/5 - 871047 = 0. Calculate s.
-3, 483915
What is l in -2*l**3/5 - 321020442*l**2/5 - 12881765362224198*l/5 + 12881765683244642/5 = 0?
-80255111, 1
Find n, given that -3*n**2 + 10195275*n - 20390538 = 0.
2, 3398423
Let -5*b**4 + 237750*b**3 + 2615695*b**2 + 7609620*b + 6658540 = 0. What is b?
-7, -2, 47561
Factor -3*y**2 + 68151*y - 68148.
-3*(y - 22716)*(y - 1)
Suppose 32*z**5 + 3219024*z**4 + 80932294866*z**3 - 1093151596058*z**2 + 531400791552*z - 65792802816 = 0. What is z?
-50304, 1/4, 13
Factor h**3/6 + 827*h**2/3 + 154775*h/2 + 77112.
(h + 1)*(h + 357)*(h + 1296)/6
Determine f so that -5*f**3 + 27825*f**2 + 2515590*f + 2487760 = 0.
-88, -1, 5654
Factor 5*i**2 - 28985*i + 2848500.
5*(i - 5697)*(i - 100)
Find k, given that 4*k**4 - 17561148*k**3 - 35122308*k**2 - 17561156*k = 0.
-1, 0, 4390289
Factor 2*x**4 + 5016*x**3 + 794920*x**2.
2*x**2*(x + 170)*(x + 2338)
Find k, given that -4*k**2 + 3342864*k = 0.
0, 835716
Solve -3*w**5/8 - 110745*w**4/8 - 1021982349*w**3/8 + 1029291237*w**2/8 + 8301393210*w - 57492747675/2 = 0 for w.
-18458, -9, 5
Solve -5*a**2 + 474565*a = 0 for a.
0, 94913
Find g such that g**3/4 + 33307*g**2 + 1865045*g/4 + 3263743/2 = 0.
-133214, -7
Factor -2*v**3/9 + 4168264*v**2/9 - 2171803096712*v/9.
-2*v*(v - 1042066)**2/9
Let 2116*h**2 + 242962800*h + 6974352810000 = 0. Calculate h.
-1320450/23
Determine n so that -2*n**2/7 + 48240*n/7 - 385792/7 = 0.
8, 24112
Find h, given that -18605*h**2 - 1221568920*h - 20051473075920 = 0.
-2002572/61
Let -8*q**5/3 - 21454*q**4 - 129363226*q**3/3 + 358860400*q**2/3 + 1759807872*q + 1295406080/3 = 0. Calculate q.
-4024, -5, -1/4, 8
Suppose -3*x**2/5 - 450667878*x/5 - 16925128021751907/5 = 0. Calculate x.
-75111313
Factor -h**3 - 29702581*h**2 - 220560844366680*h - 220560814664100.
-(h + 1)*(h + 14851290)**2
Factor 15*l**2 - 107331*l - 1505574.
3*(l + 14)*(5*l - 35847)
Find x, given that 126*x**3 - 19214*x**2/3 + 75520*x + 38912/3 = 0.
-32/189, 19, 32
Find m, given that 5*m**5 - 84085*m**4 + 5698260*m**3 - 60310160*m**2 + 230484160*m - 300142080 = 0.
4, 56, 16749
Factor 220211*m**2 + 660635*m + 6.
(m + 3)*(220211*m + 2)
Factor -2*b**3/7 + 10412*b**2/7 - 3777024*b/7 + 355516416/7.
-2*(b - 4822)*(b - 192)**2/7
Suppose -y**3/2 + 853681*y**2 + 8536829*y/2 + 5122101 = 0. What is y?
-3, -2, 1707367
Factor 4*i**3 - 4084*i**2 - 578088*i.
4*i*(i - 1147)*(i + 126)
Suppose 21*w**3 - 253606*w**2 + 881351*w - 265606 = 0. Calculate w.
1/3, 22/7, 12073
Let -5*t**4/4 - 80015*t**3/4 + 68208285*t**2/2 - 13894099560*t + 41375901600 = 0. Calculate t.
-17590, 3, 792
Let -2*t**4/5 + 3633674*t**3/5 - 18168334*t**2/5 + 25435654*t/5 - 10900992/5 = 0. Calculate t.
1, 3, 1816832
Factor 4*d**4 + 17100*d**3 - 171400*d**2.
4*d**2*(d - 10)*(d + 4285)
Factor -112069632*t**2 - 11331648*t - 286443.
-3*(6112*t + 309)**2
Factor l**3/5 + 134*l**2/5 + 2963*l/5 - 14098.
(l - 14)*(l + 53)*(l + 95)/5
Suppose 5*j**5/6 + 5471*j**4/6 - 1487*j**3/2 - 88811*j**2/6 - 63520*j/3 - 3650 = 0. Calculate j.
-1095, -2, -1/5, 5
Suppose -235298*g**5/11 + 37383570*g**4/11 - 141304828*g**3/11 - 1606952*g**2 - 726576*g/11 - 9920/11 = 0. What is g?
-2/49, 4, 155
Factor 484*l**3 + 453480*l**2 + 1808112*l + 1806176.
4*(l + 2)**2*(121*l + 112886)
Factor 2*o**2/3 - 100354624*o/3 - 33451542.
2*(o - 50177313)*(o + 1)/3
Determine l so that 2*l**4/19 + 1090*l**3/19 - 458316*l**2/19 + 12169976*l/19 - 83617520/19 = 0.
-830, 14, 257
Suppose -3*p**2/8 + 8181285*p/4 - 4090641 = 0. What is p?
2, 5454188
Factor -2*q**2/3 + 5638*q/3 - 398552.
-2*(q - 2588)*(q - 231)/3
Factor i**2/9 + 1338842*i/9 + 1338841/9.
(i + 1)*(i + 1338841)/9
Factor -i**2/3 + 3251192*i + 9753577/3.
-(i - 9753577)*(i + 1)/3
Find o such that 4*o**4 - 55086448*o**3 + 189657241992072*o**2 + 379314869589360*o - 568972056494988 = 0.
-3, 1, 6885807
Factor 2*z**2/7 + 3174*z/7 - 1700460/7.
2*(z - 423)*(z + 2010)/7
Suppose -5*p**4 - 70315*p**3 - 2946115*p**2 - 23905805*p = 0. Calculate p.
-14021, -31, -11, 0
Factor -2*v**2/11 - 3553048*v/11 + 10659162/11.
-2*(v - 3)*(v + 1776527)/11
What is r in -2*r**3/3 - 24164546*r**2/3 + 2*r/3 + 24164546/3 = 0?
-12082273, -1, 1
Factor -4*k**3/3 - 72048*k**2 - 938322812*k + 2859777226504/3.
-4*(k - 946)*(k + 27491)**2/3
Factor -4*k**3 - 29284*k**2 - 4049520*k.
-4*k*(k + 141)*(k + 7180)
Factor -n**2 + 12360*n - 24716.
-(n - 12358)*(n - 2)
Find h such that -5*h**3 - 9135*h**2 + 3114950*h - 6193320 = 0.
-2121, 2, 292
Factor 98*u**3 + 10755948*u**2 + 6146232*u + 878032.
2*(u + 109754)*(7*u + 2)**2
Factor -d**3 - 528458*d**2 + 160720544*d - 12216517248.
-(d - 152)**2*(d + 528762)
Suppose -490*a**3 + 90885*a**2 + 373275*a + 7580 = 0. What is a?
-4, -1/49, 379/2
Factor -s**3/2 - 9297045*s**2 - 86435045732025*s/2.
-s*(s + 9297045)**2/2
Determine z so that -4*z**3 + 548168*z**2 - 2192620*z + 1644456 = 0.
1, 3, 137