 - 30752*s**2/3 - 59074580*s/3 + 118272200/3.
-4*(s - 2)*(s + 3845)**2/3
Factor u**4/5 + 59*u**3/5 + 1053*u**2/5 + 905*u - 2750.
(u - 2)*(u + 11)*(u + 25)**2/5
Factor -r**4/7 - 36*r**3/7 + 5821*r**2/7 + 5856*r/7.
-r*(r - 61)*(r + 1)*(r + 96)/7
Determine w, given that -405*w**4 + 27765*w**3 + 69910*w**2 + 26940*w + 2840 = 0.
-2, -2/9, 71
Determine k so that -4*k**5/3 - 2252*k**4/3 - 290056*k**3/3 + 7563400*k**2/3 - 48822004*k/3 + 41550916/3 = 0.
-293, 1, 11
Solve -2*m**2 - 7140*m + 35750 = 0.
-3575, 5
Factor -2*p**2/19 - 322*p/19 + 23220/19.
-2*(p - 54)*(p + 215)/19
Factor z**4/3 - 69*z**3 - 418*z**2/3.
z**2*(z - 209)*(z + 2)/3
Determine y so that -4*y**3 + 18880*y**2 + 37776*y = 0.
-2, 0, 4722
Let l**5 + 29*l**4 + 41*l**3 - 365*l**2 - 354*l + 648 = 0. Calculate l.
-27, -4, -2, 1, 3
Find l, given that -2*l**5 - 24744*l**4 - 76508444*l**3 + 153091128*l**2 - 76557938*l = 0.
-6187, 0, 1
Factor -2*t**4/17 - 82182*t**3/17 - 1125564660*t**2/17 - 5137076615112*t/17 + 15421362146352/17.
-2*(t - 3)*(t + 13698)**3/17
Let 4*c**2 - 28416*c + 764316 = 0. What is c?
27, 7077
Solve -14*t**5 - 78*t**4 + 1192*t**3 + 3672*t**2 - 21824*t - 13440 = 0.
-10, -6, -4/7, 4, 7
Factor -2*h**2/3 - 26*h/3 - 8.
-2*(h + 1)*(h + 12)/3
Factor -c**3/4 - 4825*c**2/4 - 1453228*c + 4370547.
-(c - 3)*(c + 2414)**2/4
Factor -2*c**4 + 772*c**3 + 48336*c**2 + 945820*c + 6077074.
-2*(c - 443)*(c + 19)**3
Suppose h**2 + 403418*h + 40686520681 = 0. Calculate h.
-201709
Factor -1040*h**2 + 1034*h + 6.
-2*(h - 1)*(520*h + 3)
Find c, given that 92*c**3/5 + 116*c**2/5 - 92*c/5 - 116/5 = 0.
-29/23, -1, 1
Find h such that -2*h**4 - 174*h**3/5 + 532*h**2/5 + 48*h = 0.
-20, -2/5, 0, 3
Determine o so that o**3 + 230*o**2 + 16697*o + 389872 = 0.
-112, -59
Factor -3*t**3 - 1713*t**2 - 6813*t - 5103.
-3*(t + 1)*(t + 3)*(t + 567)
Factor 2*p**2/7 - 18178*p/7 + 108996/7.
2*(p - 9083)*(p - 6)/7
Determine g so that -g**2 + 2182312*g - 1190621416336 = 0.
1091156
Find w, given that 4*w**4/7 + 1852*w**3/7 + 68204*w**2/7 - 38419660*w/7 = 0.
-289, 0, 115
Solve v**5 + 85*v**4 + 275*v**3 - 75625*v**2 = 0.
-55, 0, 25
Factor 3*b**2 - 13068*b + 52224.
3*(b - 4352)*(b - 4)
Let 1000*q**5 - 260175*q**4 + 2312785*q**3 - 2478600*q**2 + 939220*q - 120480 = 0. What is q?
3/8, 2/5, 8, 251
Let -z**3 - 5091*z**2 - 6497352*z - 45232348 = 0. Calculate z.
-2542, -7
Factor 14*j**2 + 66230*j + 47300.
2*(j + 4730)*(7*j + 5)
Solve -3*y**4 - 5946*y**3 + 11907*y**2 + 5946*y - 11904 = 0.
-1984, -1, 1, 2
Factor 4*f**3 - 4868*f**2 - 129172*f - 124300.
4*(f - 1243)*(f + 1)*(f + 25)
Suppose -p**5 - 140*p**4 - 5430*p**3 - 59360*p**2 + 135575*p - 70644 = 0. Calculate p.
-84, -29, 1
Suppose -3*v**2 + 4446192*v - 1647385275072 = 0. Calculate v.
741032
Find l such that 2*l**4/3 - 58*l**3/3 + 430*l**2/3 - 374*l/3 = 0.
0, 1, 11, 17
Suppose -z**2/6 - 15344*z/3 + 51155/2 = 0. What is z?
-30693, 5
Find l such that 5*l**4 + 205*l**3 + 2550*l**2 + 8440*l - 11200 = 0.
-20, -14, -8, 1
Factor 8*f**3 - 732*f**2 + 22272*f - 225388.
4*(f - 29)**2*(2*f - 67)
Determine r, given that -55*r**2 - 4293*r/2 - 639 = 0.
-426/11, -3/10
Suppose 2*a**2/3 + 22472*a/3 - 14984 = 0. What is a?
-11238, 2
Suppose -3*l**4/5 + 1056*l**3/5 - 5217*l**2/5 + 4164*l/5 = 0. Calculate l.
0, 1, 4, 347
Factor -p**5/9 - 98*p**4 - 158077*p**3/9 + 1783796*p**2 - 331312804*p/9.
-p*(p - 38)**2*(p + 479)**2/9
Let 8*w**4 + 590*w**3/3 - 4592*w**2/3 + 5582*w/3 - 620 = 0. Calculate w.
-31, 2/3, 3/4, 5
Factor z**2 - 71*z - 72.
(z - 72)*(z + 1)
Factor -w**2 - 53920*w - 726841600.
-(w + 26960)**2
Find h, given that h**5 + 28571*h**4 + 285635*h**3 + 714025*h**2 = 0.
-28561, -5, 0
Factor -21*x**2/4 + 20519*x/4 - 977/2.
-(x - 977)*(21*x - 2)/4
Factor 5*z**2 + 16685*z + 33350.
5*(z + 2)*(z + 3335)
Suppose f**2/9 + 3836*f/9 + 3678724/9 = 0. What is f?
-1918
Determine k so that 5*k**4 + 5*k**3 - 255*k**2 - 245*k + 490 = 0.
-7, -2, 1, 7
Let -x**5/4 - 146*x**4 - 21022*x**3 + 85848*x**2 - 86436*x = 0. Calculate x.
-294, 0, 2
Let -276*d**2 - 555*d - 261 = 0. What is d?
-29/23, -3/4
Determine r so that 3*r**4 + 2253*r**3 + 571311*r**2 + 50698479*r + 452076690 = 0.
-247, -10
Find w, given that 2*w**5/3 - 182*w**4/3 - 614*w**3 + 4222*w**2/3 - 2200*w/3 = 0.
-11, 0, 1, 100
Determine u, given that -6*u**2/17 + 54172*u/17 + 18058/17 = 0.
-1/3, 9029
Find b such that -4*b**5 + 2805684*b**4 - 491990016392*b**3 - 491995627768*b**2 + 491990016396*b + 491992822084 = 0.
-1, 1, 350711
Let y**5/3 + 100*y**4 + 26740*y**3/3 + 210240*y**2 + 3837760*y/3 + 2298368 = 0. Calculate y.
-134, -24, -4
Factor 238*m**4/11 + 296*m**3/11 - 122*m**2/11 - 180*m/11.
2*m*(m + 1)**2*(119*m - 90)/11
Determine r so that -r**5 + 112*r**4 - 847*r**3 + 1556*r**2 + 436*r - 2080 = 0.
-1, 2, 5, 104
Factor 5*a**3 + 20195*a**2 + 21849035*a + 2888065485.
5*(a + 153)*(a + 1943)**2
Factor -k**2 - 11608*k - 11607.
-(k + 1)*(k + 11607)
Find t such that -2*t**2 + 471814*t - 471812 = 0.
1, 235906
Solve -5*y**2 + 384820*y = 0.
0, 76964
Factor j**3/4 + 4233*j**2/4 - 2117*j/2.
j*(j - 1)*(j + 4234)/4
Suppose -s**3/7 + 46626*s**2/7 - 53280*s + 745888/7 = 0. What is s?
4, 46618
Let 2*t**3/21 - 478*t**2/21 - 422*t/3 + 490/3 = 0. Calculate t.
-7, 1, 245
Suppose c**2/4 - 473*c/4 - 3159/2 = 0. Calculate c.
-13, 486
Factor 2*h**3 - 2744*h**2 + 918856*h + 15412352.
2*(h - 694)**2*(h + 16)
Suppose -12*a**4 - 40708*a**3 + 27144*a**2 = 0. Calculate a.
-3393, 0, 2/3
Factor 2524*k**2/3 - 73195*k/3 - 29/3.
(k - 29)*(2524*k + 1)/3
Suppose 2*f**2/5 - 144392*f/5 + 2606131208/5 = 0. What is f?
36098
Find u such that -3*u**3/2 + 543*u**2 - 129675*u/2 + 2547216 = 0.
96, 133
Factor a**2/9 - 97168*a/9 + 2360405056/9.
(a - 48584)**2/9
Let -4*j**2 - 4360*j - 143616 = 0. What is j?
-1056, -34
Find p such that -10*p**3/3 - 298*p**2/9 + 686*p/9 - 358/9 = 0.
-179/15, 1
Solve -2*i**3 - 1634*i**2 - 332926*i + 334562 = 0.
-409, 1
Solve 303372*v**5 - 1140984*v**4 + 1453935*v**3 - 669003*v**2 + 53880*v - 1200 = 0 for v.
5/106, 1, 4/3
Factor -4*o**3/9 + 20*o**2/3 + 472*o/9 + 224/3.
-4*(o - 21)*(o + 2)*(o + 4)/9
Factor 3*t**2/8 - 339*t/4 + 5859/8.
3*(t - 217)*(t - 9)/8
Factor -2*w**3 - 3560*w**2 + 72088*w + 158400.
-2*(w - 22)*(w + 2)*(w + 1800)
Let -4*n**4 - 1684*n**3 - 5000*n**2 + 6736*n + 20064 = 0. Calculate n.
-418, -3, -2, 2
Find g, given that -5*g**3 + 14715*g**2 - 14700*g - 29420 = 0.
-1, 2, 2942
Solve -3*w**3/5 - 17769*w**2/5 + 214848*w - 3230820 = 0.
-5983, 30
Let -114*v**4/11 - 118170*v**3/11 - 16938*v**2 - 18582*v/11 + 49680/11 = 0. What is v?
-1035, -1, 8/19
Let 1444*y**3/3 + 91960*y**2 + 4839*y + 191/3 = 0. What is y?
-191, -1/38
Let 3*u**5 + 3825*u**4 + 1545336*u**3 + 207735252*u**2 + 8757798336*u - 8967082752 = 0. What is u?
-536, -102, 1
Determine t so that t**4/10 + 3289*t**3/10 + 1400889*t**2/5 + 79249014*t/5 - 164114748/5 = 0.
-1614, -63, 2
Factor 5*v**3 - 11270*v**2 - 45160*v.
5*v*(v - 2258)*(v + 4)
Let 2*q**3/15 - 572*q**2/15 - 13472*q/15 - 4928/3 = 0. What is q?
-20, -2, 308
Let -3*b**2 - 45327*b + 272070 = 0. Calculate b.
-15115, 6
What is p in 3*p**2 - 50958*p - 50961 = 0?
-1, 16987
Factor 5*m**2/2 + 4059*m/2 - 406.
(m + 812)*(5*m - 1)/2
Factor -s**4 - 119*s**3 + 2887*s**2 + 37295*s + 100050.
-(s - 29)*(s + 5)**2*(s + 138)
Find m such that 3*m**2/2 - 4731*m/2 + 134343 = 0.
59, 1518
Determine v so that 8*v**5/7 + 668*v**4/7 - 3144*v**3/7 + 308*v**2 + 3848*v/7 - 2112/7 = 0.
-88, -1, 1/2, 2, 3
Suppose 2*d**5/9 - 122*d**4/3 - 10*d**3/3 + 5510*d**2/9 - 1204*d/3 - 976 = 0. Calculate d.
-4, -1, 2, 3, 183
Determine n so that 2*n**5 - 280*n**4 + 6022*n**3 - 10664*n**2 - 6024*n + 10944 = 0.
-1, 1, 2, 24, 114
Factor 3*u**2 - 5661*u - 11334.
3*(u - 1889)*(u + 2)
Solve -2*f**4 - 338*f**3/3 + 6364*f**2/9 + 2456*f/9 - 496/3 = 0 for f.
-62, -2/3, 1/3, 6
Factor 50*p**3 - 60*p**2 - 192*p + 256.
2*(p + 2)*(5*p - 8)**2
What is b in 2*b**5/5 - 86*b**4/5 + 234*b**3 - 4522*b**2/5 - 1156*b = 0?
-1, 0, 10, 17
Determine o, given that -2*o**4/9 + 158*o**3/9 - 224*o**2 + 6016*o/9 + 8192/9 = 0.
-1, 8, 64
Let -j**5/2 - 489*j**4 + 11871*j**3/2 - 4466*j**2 - 10890*j = 0. Calculate j.
-990, -1, 0, 2, 11
Factor -j**2/7 - 21724*j - 825881308.
-(j + 76034)**2/7
What is v in -2*v**5/9 - 42*v**4 - 4310*v**3/9 - 3650*v**2/3 + 4312*v/9 + 3776/3 = 0?
-177, -8, -4, -1, 1
Find c such that 7*c**4/2 + 1006*c**3