c, given that 1000*c**5/13 + 1154350*c**4/13 - 3067880*c**3/13 - 2117692*c**2/13 - 34000*c - 2314 = 0.
-1157, -1/5, 13/4
Find b such that 3836*b**3 - 53640*b**2 - 1669556*b - 27840 = 0.
-15, -16/959, 29
Suppose -3*l**5/7 + 135*l**4/7 + 10842*l**3/7 + 10566*l**2/7 - 10839*l/7 - 10701/7 = 0. Calculate l.
-41, -1, 1, 87
Solve 11822*w**2/7 - 2033380*w/7 - 688/7 = 0 for w.
-2/5911, 172
Factor 5*i**2 - 3012850*i + 475905480.
5*(i - 602412)*(i - 158)
Suppose 4*u**2 + 753916*u - 3769680 = 0. Calculate u.
-188484, 5
Suppose 6*o**5 + 8920*o**4/11 - 85582*o**3/11 - 214820*o**2/11 - 10944*o = 0. Calculate o.
-144, -38/33, -1, 0, 11
Let -2*y**2/17 - 50312*y/17 - 2477478 = 0. Calculate y.
-24289, -867
Factor o**3 + 4253335*o**2 + 4253332*o - 8506668.
(o - 1)*(o + 2)*(o + 4253334)
Determine g, given that -4*g**4 + 7012*g**3 - 1728160*g**2 + 115483200*g = 0.
0, 140, 1473
Find d such that 2*d**5/13 + 30*d**4/13 - 13014*d**3/13 + 137602*d**2/13 - 124620*d/13 = 0.
-93, 0, 1, 10, 67
Factor -k**2 - 4975316*k - 6188442324964.
-(k + 2487658)**2
Factor -z**3/4 + 29669127*z**2/4 - 220064229731835*z/4 - 660192956217675/4.
-(z - 14834565)**2*(z + 3)/4
Let -3*i**3/4 - 783405*i**2/2 - 79899657*i/4 - 39166425/2 = 0. What is i?
-522219, -50, -1
Factor 3*h**2/2 - 10122*h + 15722064.
3*(h - 4324)*(h - 2424)/2
Factor -3*g**3 + 3949287*g**2 + 3949290*g.
-3*g*(g - 1316430)*(g + 1)
Find k, given that 2*k**5/7 + 22626*k**4/7 + 63662226*k**3/7 - 1870057618*k**2/7 - 1929614460*k = 0.
-5671, -6, 0, 35
Suppose -3*w**4 - 18207*w**3 + 733329*w**2 + 1521267*w + 769734 = 0. Calculate w.
-6109, -1, 42
Suppose q**2/9 + 2738*q/3 - 1416727/9 = 0. Calculate q.
-8383, 169
Determine c so that -126*c**5/5 + 5588*c**4/5 - 12318*c**3 + 66928*c**2/5 + 64632*c/5 + 10368/5 = 0.
-3/7, -2/9, 2, 16, 27
Factor -4*v**2 + 11485000*v.
-4*v*(v - 2871250)
Find q, given that -4*q**5 + 2512*q**4 - 60736*q**3 + 261720*q**2 + 715716*q + 390744 = 0.
-1, 9, 18, 603
Suppose 3*s**4 + 4525*s**3 + 679175*s**2 - 1390085*s - 2064738 = 0. Calculate s.
-1339, -514/3, -1, 3
Let -a**2/3 - 13594334*a/3 - 46201479225889/3 = 0. Calculate a.
-6797167
Let -2*s**3/11 - 83966898*s**2/11 - 881304952984350*s/11 + 881305036951250/11 = 0. Calculate s.
-20991725, 1
Suppose i**2/4 + 1551469*i/2 - 13963302 = 0. Calculate i.
-3102956, 18
Factor -2*y**2/7 + 15791936*y/7 - 31173155328512/7.
-2*(y - 3947984)**2/7
Solve -f**4/2 + 3111375*f**3 - 9680629499593*f**2/2 - 38722667344500*f - 77445434253128 = 0 for f.
-4, 3111379
Suppose k**3/3 - 8024066*k**2/3 - 40120349*k/3 - 16048142 = 0. Calculate k.
-3, -2, 8024071
What is j in -11858*j**4/3 - 1686146*j**3/3 - 58213307*j**2/2 - 1946622710*j/3 - 15804642050/3 = 0?
-46, -3865/154
Suppose -15*f**4 + 2061*f**3 - 59502*f**2 - 783828*f + 322920 = 0. What is f?
-10, 2/5, 69, 78
Let -f**5/4 + 12*f**4 + 399*f**3/4 - 1675*f**2/2 - 9075*f - 20250 = 0. What is f?
-6, -5, 10, 54
Suppose v**2 + 2645411*v + 2645410 = 0. What is v?
-2645410, -1
Factor 3*y**2/7 + 567507*y/7 - 12486606/7.
3*(y - 22)*(y + 189191)/7
Determine w, given that -w**3/3 + 12497*w**2/3 - 162278*w/3 - 174776/3 = 0.
-1, 14, 12484
Factor w**3/3 + 6805*w**2/3 + 593032*w/3 + 4334704.
(w + 44)**2*(w + 6717)/3
What is a in 2*a**3 + 104886*a**2 - 8824706*a - 8929590 = 0?
-52527, -1, 85
Factor 3*f**2/2 - 101607*f/2.
3*f*(f - 33869)/2
What is c in 5*c**4/3 - 3115*c**3/3 + 58875*c**2 + 107828875*c/3 + 214926250/3 = 0?
-145, -2, 385
Factor k**2 - 40095*k - 48662046.
(k - 41274)*(k + 1179)
Solve c**3/9 - 671095*c**2/9 + 2236957*c/3 - 1565865 = 0.
3, 7, 671085
Factor -2*b**2 + 6350*b + 2836168.
-2*(b - 3572)*(b + 397)
What is q in 3696*q**4 - 134271*q**3/7 + 231531*q**2/7 - 142776*q/7 + 19644/7 = 0?
1637/8624, 1, 2
Solve 3516*k**2 - 43222*k/3 + 3028 = 0 for k.
2/9, 2271/586
Suppose 2*x**2/13 + 9869120*x/13 - 78953088/13 = 0. Calculate x.
-4934568, 8
Let -2*s**3 - 2880998*s**2 - 1037517244000*s + 1037520125000 = 0. What is s?
-720250, 1
Factor -2*z**2/9 + 40882*z/9 - 47295020/9.
-2*(z - 19210)*(z - 1231)/9
Suppose -4*w**5 - 4017*w**4 - 140662*w**3 - 292191*w**2 + 140666*w + 296208 = 0. What is w?
-968, -34, -9/4, -1, 1
Solve -4*c**2 - 1460028*c + 207404632 = 0.
-365149, 142
Determine o, given that -16*o**5/9 - 47322364*o**4/9 + 390410362*o**3/9 - 680260802*o**2/9 + 76899068*o/3 + 11830624 = 0.
-2957656, -1/4, 1, 3/2, 6
Find x, given that 3*x**4/2 + 85827*x**3 + 2457998103*x**2/2 + 36812058570*x + 275945682150 = 0.
-28594, -15
Solve 4*h**3 - 2916*h**2 + 123776*h - 448704 = 0 for h.
4, 41, 684
Solve g**2/2 - 35669*g/2 + 1565564 = 0 for g.
88, 35581
Factor -f**2/2 - 6757*f - 45338953/2.
-(f + 6193)*(f + 7321)/2
Solve 2*b**2 - 51527904*b + 51527902 = 0 for b.
1, 25763951
Find g, given that 5*g**2 - 28137435*g = 0.
0, 5627487
Let x**2/3 - 4165654*x/3 + 4338168311929/3 = 0. What is x?
2082827
Find x such that -2*x**5/9 + 2656*x**4 + 287254*x**3/9 - 470636*x**2/3 + 1866448*x/9 - 255232/3 = 0.
-16, 1, 2, 11964
What is w in -w**5 + 102392*w**4 - 2634714761*w**3 + 700569888682*w**2 - 46106870501340*w - 95037099913800 = 0?
-2, 135, 51062
Factor l**2 - 3061*l + 1882068.
(l - 2209)*(l - 852)
Find l, given that 3*l**3/5 - 8124*l**2 - 3394017*l/5 + 5149494 = 0.
-90, 7, 13623
Suppose w**3 - 22971*w**2 + 1168640*w + 6417600 = 0. Calculate w.
-5, 56, 22920
Factor 4*s**2/5 - 58868*s/5 + 21698496.
4*(s - 12557)*(s - 2160)/5
Let -2*m**2/5 - 9286*m/5 - 2171624/5 = 0. Calculate m.
-4396, -247
Factor -2*a**2/9 - 80022424*a/9.
-2*a*(a + 40011212)/9
Factor 3*y**2/7 - 1876419*y/7 + 15011160/7.
3*(y - 625465)*(y - 8)/7
Factor 3*n**3 - 567*n**2 - 15336*n + 442260.
3*(n - 210)*(n - 18)*(n + 39)
Suppose -2*c**5/5 + 8*c**4/5 + 46*c**3 - 316*c**2 + 3072*c/5 - 1728/5 = 0. Calculate c.
-12, 1, 2, 4, 9
Factor j**2/6 - 555003*j/2 + 13319944/3.
(j - 1664993)*(j - 16)/6
Factor -205*i**2 - 102335*i - 10317660.
-5*(i + 359)*(41*i + 5748)
Factor -22*t**2/3 - 12304*t + 452920/3.
-2*(t + 1690)*(11*t - 134)/3
Suppose -2*t**5/13 + 6880*t**4/13 - 8518838*t**3/13 + 4409582744*t**2/13 - 60596145568*t + 17068196969600/13 = 0. What is t?
25, 307, 1036
What is h in h**2/5 - 76738*h + 1151025 = 0?
15, 383675
Factor q**3/10 - 18093*q**2/10 - q/10 + 18093/10.
(q - 18093)*(q - 1)*(q + 1)/10
Determine c so that c**5/7 - 1114*c**4/7 + 299038*c**3/7 - 25230736*c**2/7 + 272127001*c/7 + 2029482530/7 = 0.
-5, 19, 167, 766
Determine c, given that c**2/6 + 2835454*c/3 + 4019899693058/3 = 0.
-2835454
Factor 23*n**3 + 225172*n**2 - 881468*n - 78352.
(n - 4)*(n + 9794)*(23*n + 2)
Solve -v**3/4 - 461*v**2/4 + 20881*v/4 - 123235/4 = 0 for v.
-503, 7, 35
Solve 5*u**5 + 8295*u**4 + 1273930*u**3 + 2514720*u**2 = 0 for u.
-1488, -169, -2, 0
Find q, given that -q**5 + 6208*q**4 + 31082*q**3 - 105600*q**2 - 130473*q = 0.
-7, -1, 0, 3, 6213
Factor 4*r**2 - 465164*r + 4186152.
4*(r - 116282)*(r - 9)
Factor -2*z**2/13 - 309494*z/13 + 7119420/13.
-2*(z - 23)*(z + 154770)/13
Factor -2*j**3 - 218*j**2 - 4676*j + 70560.
-2*(j - 10)*(j + 56)*(j + 63)
Suppose 2*h**3/3 + 271912*h**2 + 27725507072*h - 332719136768/3 = 0. Calculate h.
-203936, 4
Factor s**3 - 71343*s**2 + 1272634251*s - 6361387805.
(s - 35669)**2*(s - 5)
Factor q**3 - 20160*q**2 + 282057*q - 261898.
(q - 20146)*(q - 13)*(q - 1)
Solve 4*m**2/7 + 21291944*m/7 + 63875796/7 = 0 for m.
-5322983, -3
Find x, given that 8*x**5 - 19082*x**4/3 - 468942*x**3 + 117368*x**2/3 = 0.
-68, 0, 1/12, 863
Let -2*v**5/5 + 30782*v**4 + 17102382*v**3/5 + 96639554*v**2 + 93249860*v = 0. Calculate v.
-55, -1, 0, 77066
Let 3*f**5/4 + 2235105*f**4 + 71523237*f**3/4 + 51407298*f**2 + 62582781*f + 26821188 = 0. What is f?
-2980132, -3, -2, -1
Solve 2*b**2 + 12220872*b = 0.
-6110436, 0
Suppose 4*x**4/3 + 92*x**3/3 - 404*x**2 - 11028*x - 28728 = 0. Calculate x.
-21, -18, -3, 19
Solve 66*h**2 + 854295*h - 116496 = 0 for h.
-12944, 3/22
Find z, given that -3*z**2/7 + 177168*z/7 + 607680 = 0.
-24, 59080
Determine h, given that -3*h**4/7 + 11807064*h**3/7 - 15489640033344*h**2/7 + 6773598933727953408*h/7 = 0.
0, 1311896
Suppose -5*o**4 + 1238810*o**3 - 76679223485*o**2 - 6601286488920*o - 141976923639120 = 0. What is o?
-43, 123924
Let -39*t**4 + 786894*t**3 + 2542680*t**2 = 0. What is t?
-42/13, 0, 20180
Let -5*o**4 - 82525*o**3 + 5467505*o**2 - 15329435*o - 20879460 = 0. What is o?
-16571, -1, 4, 63
