3, 3, 47543
Find k such that 25*k**5 - 4645120*k**4 + 13006209*k**3 - 12820366*k**2 + 5202460*k - 743208 = 0.
2/5, 1, 185802
Factor -4*t**2/5 + 453791736*t/5 - 12870433728868356/5.
-4*(t - 56723967)**2/5
Solve -27*p**3/5 - 1613*p**2/5 + 3842*p/5 + 744 = 0 for p.
-62, -20/27, 3
Let -k**5/3 + 391*k**4/3 + 25144*k**3/3 + 175616*k**2/3 = 0. What is k?
-49, -8, 0, 448
Let -75*f**5 + 3897*f**4 - 20769*f**3 + 8763*f**2 + 34884*f + 1380 = 0. What is f?
-1, -1/25, 2, 5, 46
What is a in -3*a**5/7 - 456*a**4/7 + 200037*a**3/7 + 34999026*a**2/7 + 137581308*a/7 + 19539144 = 0?
-207, -2, 266
Factor -5*a**2 + 1160*a + 1310845.
-5*(a - 641)*(a + 409)
Determine x so that 1716425925112441*x**2/5 - 165719084*x/5 + 4/5 = 0.
2/41429771
Solve 5*u**3 - 5650*u**2 - 325345*u - 628050 = 0.
-53, -2, 1185
Find q such that -2*q**2/13 + 30408*q/13 - 538920 = 0.
234, 14970
Let -2*o**2/9 - 1567558*o/9 + 3135124/9 = 0. Calculate o.
-783781, 2
Factor w**4/4 + 1322*w**3 + 1552804*w**2 - 515262720*w + 37978214400.
(w - 140)**2*(w + 2784)**2/4
Suppose 27*m**2 + 175805082*m + 286179878305803 = 0. What is m?
-9766949/3
Find q, given that -3*q**3/7 - 405030*q**2/7 - 1215063*q/7 = 0.
-135007, -3, 0
Solve -5*f**3 - 10488020*f**2 - 10488015*f = 0 for f.
-2097603, -1, 0
Solve 2*t**5/9 + 1198*t**4/3 + 732028*t**3/9 - 97743544*t**2 + 292655280*t - 194993472 = 0.
-1086, 1, 2, 372
Solve -3*w**5 - 7692*w**4 + 10208256*w**3 - 2818541520*w**2 + 5596311600*w = 0.
-3586, 0, 2, 510
Factor 5*c**2 - 7500*c - 14207625.
5*(c - 2595)*(c + 1095)
Factor -5*u**3 - 17930*u**2 + 907680*u - 4799520.
-5*(u - 44)*(u - 6)*(u + 3636)
What is i in -237053538*i**3 - 708591282*i**2 + 7701034*i - 20886 = 0?
-3, 59/10887
Suppose -55*g**5 - 2895*g**4 - 117291*g**3/5 + 570779*g**2/5 + 4182*g = 0. What is g?
-41, -15, -2/55, 0, 17/5
Factor j**5/5 - 46756*j**4/5 + 736318926*j**3/5 - 4021703909876*j**2/5 + 1829233603724441*j/5.
j*(j - 15419)**3*(j - 499)/5
Solve k**4 - 647*k**3 + 43731*k**2 - 760113*k - 804492 = 0 for k.
-1, 36, 39, 573
Solve -4*q**2 + 323536*q - 1294080 = 0 for q.
4, 80880
Determine x so that 4*x**2/7 + 931164*x/7 - 11174544/7 = 0.
-232803, 12
Factor -4*b**2/9 - 15989104*b/9 - 15978215420176/9.
-4*(b + 1998638)**2/9
Suppose -2*w**3/11 + 16984*w**2 - 373642*w/11 + 186820/11 = 0. Calculate w.
1, 93410
Solve -5*n**2 + 120095*n - 25589300 = 0 for n.
215, 23804
Factor z**3/8 + 8665*z**2/4 + 311597*z/8 - 41116.
(z - 1)*(z + 19)*(z + 17312)/8
Factor -r**2/5 - 4156*r/5 + 321632/5.
-(r - 76)*(r + 4232)/5
Solve 711507*u**4/2 + 1203167103*u**3/2 + 14823333*u**2/2 + 45657*u/2 = 0 for u.
-1691, -3/487, 0
Factor 2*y**2/11 - 10533942*y/11 - 15322144.
2*(y - 5266987)*(y + 16)/11
Solve 3*a**3/8 + 11097*a**2 + 9048447*a/2 + 464355930 = 0 for a.
-29180, -206
Factor -o**2/2 + 9762831*o/2 - 4881415.
-(o - 9762830)*(o - 1)/2
Factor 2*m**2 + 382190*m - 1146588.
2*(m - 3)*(m + 191098)
Let -5*q**2 + 420657725*q = 0. What is q?
0, 84131545
Determine z so that 27*z**5/8 + 34119*z**4/8 + 462459*z**3/8 + 1511937*z**2/8 + 429429*z/4 + 16875 = 0.
-1250, -9, -4, -1/3
Factor y**2/8 - 132601*y/4 - 265203/8.
(y - 265203)*(y + 1)/8
Determine y, given that -47*y**4/3 - 76279*y**3/3 + 156137*y**2/3 + 222619*y/3 - 3250 = 0.
-1625, -1, 2/47, 3
Solve 2*z**3/7 + 295236*z**2/7 - 801458*z = 0 for z.
-147637, 0, 19
Determine p so that -464*p**3 + 1675188*p**2 - 534288*p + 28880 = 0.
2/29, 1/4, 3610
What is t in 3*t**4/4 - 16935*t**3/2 - 816165*t**2/4 + 4404345*t - 4191837 = 0?
-38, 1, 13, 11314
Factor o**4 - 1310*o**3 + 503617*o**2 - 48857760*o + 1390991616.
(o - 592)**2*(o - 63)**2
Factor f**2/2 - 98717*f/2 + 5127876.
(f - 98613)*(f - 104)/2
Factor 2*m**2 + 13226*m + 21517272.
2*(m + 2889)*(m + 3724)
Factor -j**4/3 + 173083*j**3/3 - 7488652288*j**2/3 - 22470630348*j.
-j*(j - 86546)**2*(j + 9)/3
Factor -59005624*h**2 + 59005626*h - 2.
-2*(h - 1)*(29502812*h - 1)
Determine f so that f**2 - 114539604*f + 3279830221119204 = 0.
57269802
Factor y**2/9 - 9060070*y/9.
y*(y - 9060070)/9
Determine f, given that 3*f**2 - 106830*f - 15338037 = 0.
-143, 35753
Factor 2*n**2 - 6912*n + 5930496.
2*(n - 1872)*(n - 1584)
Let -3*g**2 - 2849868*g - 5699724 = 0. What is g?
-949954, -2
Factor 4*o**5 + 172832*o**4 + 1867449652*o**3 + 11198476824*o**2.
4*o**2*(o + 6)*(o + 21601)**2
Factor 3280*o**2 + 196826*o + 1560.
2*(o + 60)*(1640*o + 13)
Solve -d**3 + 136273*d**2 - 4641833040*d - 51076653804 = 0 for d.
-11, 68142
Solve -d**4 - 1930*d**3 + 100092*d**2 + 2102184*d - 118752480 = 0 for d.
-1980, -34, 42
Factor 2*x**2 - 2347747*x - 3521625.
(x - 1173875)*(2*x + 3)
Suppose -2*z**2/5 + 1566*z - 355948/5 = 0. What is z?
46, 3869
Let -4*a**4 + 74632*a**3 + 223948*a**2 - 298528*a - 895728 = 0. What is a?
-3, -2, 2, 18661
Let 3*s**4 - 2002524*s**3 - 10012866*s**2 + 114145020*s - 198251361 = 0. Calculate s.
-11, 3, 667513
Factor -r**3/4 - 931135*r**2/4 - 216770322027*r/4 - 8019227241837/4.
-(r + 37)*(r + 465549)**2/4
Factor -2*g**5 + 2408*g**4 - 177750*g**3.
-2*g**3*(g - 1125)*(g - 79)
Let 5*g**2 + 216295*g + 32976090 = 0. What is g?
-43106, -153
Factor -3*x**2 - 133398*x - 1066992.
-3*(x + 8)*(x + 44458)
Factor x**2/5 - 289*x/5 - 55572/5.
(x - 421)*(x + 132)/5
Factor 3*i**2 + 11973444*i + 11973441.
3*(i + 1)*(i + 3991147)
Solve h**3/6 - 15227*h**2/3 - 111709*h/2 + 60930 = 0 for h.
-12, 1, 30465
Determine t so that -4*t**3 + 23912852*t**2 + 95651456*t + 95651472 = 0.
-2, 5978217
Factor 2*b**2 - 3838806*b + 3838804.
2*(b - 1919402)*(b - 1)
Find l, given that -3*l**3 - 30315*l**2 - 78032376*l - 7286644656 = 0.
-5004, -97
Solve 2*d**2/11 + 301838*d/11 + 603668/11 = 0 for d.
-150917, -2
Factor -i**3/4 - 17391*i**2/4 - 18848466*i + 473932900.
-(i - 25)*(i + 8708)**2/4
Let 2*c**2/5 - 144014544*c/5 + 2592523610440992/5 = 0. What is c?
36003636
Solve 4*m**5 + 5236*m**4 - 953864*m**3 - 964328*m**2 + 953860*m + 959092 = 0 for m.
-1471, -1, 1, 163
Factor -3*l**3 - 671310*l**2 - 37548717156*l + 676094430744.
-3*(l - 18)*(l + 111894)**2
Solve -14*c**4 + 7134*c**3 - 67352*c**2 + 176160*c - 80000 = 0.
4/7, 4, 5, 500
Factor 3*a**2 + 15051*a - 2039004.
3*(a - 132)*(a + 5149)
Factor 3*g**2/5 - 335529*g/5 + 34192746/5.
3*(g - 111741)*(g - 102)/5
Suppose -2*z**4 - 540*z**3 + 12206*z**2 - 5136*z - 139680 = 0. Calculate z.
-291, -3, 4, 20
Find u, given that u**4 + 1204*u**3 - 23279*u**2 - 51366*u = 0.
-1223, -2, 0, 21
Factor 1140*f**2 + 1186354*f + 118624.
2*(10*f + 1)*(57*f + 59312)
Suppose 3*a**2 - 7694289*a = 0. What is a?
0, 2564763
Suppose -3*c**5/4 - 1371*c**4 - 49113*c**3/4 = 0. What is c?
-1819, -9, 0
Suppose -20*v**4 - 5004*v**3 + 4124*v**2 + 27180*v + 18072 = 0. Calculate v.
-251, -6/5, -1, 3
Factor o**2/8 + 42223245*o/2 + 1782802418330025/2.
(o + 84446490)**2/8
Factor f**2/7 + 246129810*f/7 + 15144970842659025/7.
(f + 123064905)**2/7
Factor -y**4/2 + 8834933*y**3 + 17669867*y**2/2.
-y**2*(y - 17669867)*(y + 1)/2
What is w in 5*w**2 - 4274190*w = 0?
0, 854838
Factor 4*i**4/5 - 14000*i**3 + 332460688*i**2/5 - 45868704000*i + 42937510339584/5.
4*(i - 8358)**2*(i - 392)**2/5
Solve 3*f**2 + 228072*f - 6388368 = 0 for f.
-76052, 28
Let 2*j**2 - 1755672*j - 5267034 = 0. What is j?
-3, 877839
Let -4*i**2/3 - 46759504*i/3 - 136653200895376/3 = 0. Calculate i.
-5844938
Determine o, given that 5*o**4/2 - 153927*o**3/2 - 1818035*o**2 + 9366048*o - 3450608 = 0.
-28, 2/5, 4, 30809
Solve 2*o**4/3 + 21500620*o**3/3 + 43001234*o**2/3 + 7166872*o = 0.
-10750308, -1, 0
Let 2*o**3/13 + 2884*o**2/13 + 996128*o/13 + 3938496/13 = 0. What is o?
-876, -562, -4
Determine t so that 108196*t**5 - 973772*t**4 + 2921364*t**3 - 3354292*t**2 + 1298600*t - 96 = 0.
2/27049, 1, 3, 4
Suppose 12*k**5/19 + 143410*k**4/19 - 6212806*k**3/19 + 1031484*k**2/19 = 0. Calculate k.
-11994, 0, 1/6, 43
What is g in 2*g**2/7 + 176855652*g/7 + 3909740205543138/7 = 0?
-44213913
Factor x**3/3 + 83206*x**2/3 + 3326716*x/3 + 2106872.
(x + 2)*(x + 38)*(x + 83166)/3
Find i such that -i**5/8 - 187*i**4/4 - 13103*i**3/8 - 6365*i**2/4 = 0.
-335, -38, -1, 0
Factor 5*k**2/4 + 10355125*k/2 + 62130570.
5*(k + 12)*(k + 4142038)/4
Factor o**2/4 - 39061*o/4 + 292845/2.
(o - 39046)*(o - 15)/4
Determine g, given that 2*g**2 - 13558*g - 696660 = 0.
-51, 6830
Determine f, given that -16*f**2/7 + 30878212*f/7 - 7719552/7 = 0.
1/4, 1929888
Let -2*i**3/5 