*(u - 1)**2
Solve 5*i**3 + 315*i**2 + 5110*i + 4800 = 0 for i.
-32, -30, -1
Find g such that -10*g**5 + 166*g**4 + 1938*g**3 + 3938*g**2 + 2776*g + 600 = 0.
-6, -1, -2/5, 25
Factor -2*v**2 + 34924*v/5 - 13968/5.
-2*(v - 3492)*(5*v - 2)/5
Find m such that -m**5/4 - 507*m**4/4 + 127*m**3 = 0.
-508, 0, 1
Find j, given that 58*j**5/13 - 712*j**4/13 + 1192*j**3/13 + 116*j**2/13 - 1250*j/13 + 596/13 = 0.
-1, 1, 298/29
Suppose 5*p**3 - 400*p**2 - 14935*p + 122430 = 0. What is p?
-33, 7, 106
Determine d so that 3481*d**4/6 - 74989*d**3/6 - 6113*d**2 + 18080*d/3 - 2816/3 = 0.
-1, 16/59, 22
Determine f, given that 240*f**3/7 + 474*f**2/7 - 15*f/7 - 6/7 = 0.
-2, -1/10, 1/8
Find a such that -178*a**5/11 + 146*a**4 - 2350*a**3/11 - 1550*a**2/11 + 2528*a/11 - 56/11 = 0.
-1, 2/89, 1, 2, 7
Solve 2*u**5/11 + 52*u**4/11 + 128*u**3/11 - 236*u**2/11 - 130*u/11 + 184/11 = 0 for u.
-23, -4, -1, 1
Factor -2*y**2/9 - 2074648*y/9 + 691550/3.
-2*(y - 1)*(y + 1037325)/9
Determine j so that j**4 + 5094*j**3 + 6492301*j**2 + 12969324*j + 6482116 = 0.
-2546, -1
Factor -2*q**3 + 290*q**2 - 4412*q + 7680.
-2*(q - 128)*(q - 15)*(q - 2)
Find s, given that 5*s**5 - 145*s**4 - 1045*s**3 - 295*s**2 + 4280*s - 2800 = 0.
-4, 1, 35
Factor q**2 + 35405*q - 35406.
(q - 1)*(q + 35406)
Suppose -3*s**5/2 - 873*s**4/2 = 0. What is s?
-291, 0
Suppose 8*g**2/13 + 16606*g/13 - 4152/13 = 0. Calculate g.
-2076, 1/4
Solve -2*l**2/3 + 12764*l/3 - 80598 = 0.
19, 6363
Factor -c**3/8 + 4113*c**2/8 + 3087*c/2.
-c*(c - 4116)*(c + 3)/8
Solve -5*n**5 + 310*n**4 - 675*n**3 - 11890*n**2 - 29140*n - 21240 = 0.
-2, 9, 59
Factor -35*h**2 + 50620*h - 14460.
-5*(h - 1446)*(7*h - 2)
Factor -55*n**2 + 6905*n + 3150.
-5*(n - 126)*(11*n + 5)
What is t in -t**5/5 - 66*t**4/5 - 986*t**3/5 + 11988*t**2/5 + 264627*t/5 - 275562/5 = 0?
-27, 1, 14
Factor -3*p**2 + 1431*p - 138510.
-3*(p - 342)*(p - 135)
Factor -4*o**3 + 56684*o**2 + 170080*o + 113392.
-4*(o - 14174)*(o + 1)*(o + 2)
Determine x, given that -3*x**3 - 714*x**2 + 5109*x - 8820 = 0.
-245, 3, 4
Solve s**3 - 100*s**2 + 287*s + 388 = 0 for s.
-1, 4, 97
Factor s**3 - 26531*s**2/5 + 317832*s/5 - 952956/5.
(s - 6)**2*(5*s - 26471)/5
Factor o**5 + 98*o**4 + 1943*o**3 + 1846*o**2.
o**2*(o + 1)*(o + 26)*(o + 71)
Factor -28*c**3 + 1335592*c**2 - 15926648400*c - 4550580000.
-4*(c - 23850)**2*(7*c + 2)
Let -5*r**5 - 8150*r**4 - 3345485*r**3 - 19853400*r**2 - 29670480*r = 0. Calculate r.
-812, -3, 0
Determine b, given that 22*b**2/5 - 2106*b/5 + 1224 = 0.
3, 1020/11
Solve -f**5/4 - 211*f**4/4 + 3137*f**3/4 - 3177*f**2/4 - 14256*f - 18225 = 0 for f.
-225, -2, 9
Factor b**3/7 - 30*b**2/7 - 487*b/7 + 5304/7.
(b - 39)*(b - 8)*(b + 17)/7
Let -24*x**3 - 1444*x**2 = 0. Calculate x.
-361/6, 0
What is k in 4*k**4 + 40*k**3 - 1060*k**2 + 3320*k + 4416 = 0?
-23, -1, 6, 8
Find s such that -50*s**5/7 + 5820*s**4/7 - 66922*s**3/7 + 257192*s**2/7 - 336648*s/7 + 140608/7 = 0.
1, 26/5, 104
Solve h**4/2 + 56*h**3/5 - 998*h**2/5 - 408*h/5 = 0.
-34, -2/5, 0, 12
Factor 3*m**2/2 - 399*m - 5733/2.
3*(m - 273)*(m + 7)/2
Let -u**4 + 212*u**3 + 5406*u**2 - 212*u - 5405 = 0. Calculate u.
-23, -1, 1, 235
Factor 2*v**2/5 + 64*v + 632/5.
2*(v + 2)*(v + 158)/5
Determine r, given that 4*r**4 - 545*r**3 + 2780*r**2 - 3805*r + 786 = 0.
1/4, 2, 3, 131
What is z in -3*z**4 + 18249*z**3 - 127641*z**2 + 273447*z - 164052 = 0?
1, 3, 6076
Determine h, given that 4*h**3 - 6428*h**2 - 19312*h - 12880 = 0.
-2, -1, 1610
Suppose -7*d**4/5 + 326*d**3/5 + 3183*d**2/5 + 3466*d/5 - 616 = 0. Calculate d.
-7, -2, 4/7, 55
Factor -4*o**4 - 120*o**3 + 17812*o**2 + 17928*o.
-4*o*(o - 54)*(o + 1)*(o + 83)
Factor l**2/5 - 541*l/5 + 27588/5.
(l - 484)*(l - 57)/5
Factor 4*j**2 - 244736*j + 3743481856.
4*(j - 30592)**2
Factor 2*s**2/7 + 1604*s/7 - 34314.
2*(s - 129)*(s + 931)/7
Let 4*y**5 + 2220*y**4 - 32*y**3 - 17760*y**2 + 64*y + 35520 = 0. What is y?
-555, -2, 2
Let 4*q**4 - 732*q**3 - 91812*q**2 + 185804*q - 93264 = 0. Calculate q.
-87, 1, 268
Factor 3*u**3/2 - 147*u**2/2 + 438*u + 7182.
3*(u - 38)*(u - 18)*(u + 7)/2
Factor -2*y**3 - 7596*y**2 - 45522*y - 68256.
-2*(y + 3)**2*(y + 3792)
Let -3*j**2/8 - 111*j/8 + 243705/4 = 0. What is j?
-422, 385
Find o, given that 3*o**3/2 - 9459*o**2/4 + 932598*o - 465708 = 0.
1/2, 788
Let 762*k**2 - 4576*k + 24 = 0. What is k?
2/381, 6
Find j such that 5*j**2 - 97945*j + 195870 = 0.
2, 19587
Suppose 2*j**4/7 + 6*j**3 - 652*j**2/7 + 1632*j/7 - 1024/7 = 0. What is j?
-32, 1, 2, 8
Find x, given that x**3/4 - 7471*x**2/2 + 44799*x - 134370 = 0.
6, 14930
Factor -s**4 - 252*s**3 + 30224*s**2 - 791568*s + 1464272.
-(s - 46)**2*(s - 2)*(s + 346)
Factor -2*s**2 + 145334*s + 290676.
-2*(s - 72669)*(s + 2)
Factor 5*k**3 - 9355*k**2 + 55995*k - 83925.
5*(k - 1865)*(k - 3)**2
Suppose -2*h**4/3 + 226*h**3 - 18748*h**2/3 + 21424*h = 0. Calculate h.
0, 4, 26, 309
Factor b**4/7 + 76*b**3/7 - 1615*b**2/7 + 1034*b.
b*(b - 11)*(b - 7)*(b + 94)/7
Suppose 2*g**4/5 + 278*g**3/5 + 9956*g**2/5 + 13056*g/5 - 499392/5 = 0. What is g?
-68, -9, 6
Factor -c**2/5 + 87*c/5 + 1976.
-(c - 152)*(c + 65)/5
What is c in 8*c**4 + 106*c**3 + 46*c**2 - 832*c + 672 = 0?
-12, -4, 1, 7/4
What is p in -3*p**5 + 57*p**4 + 21*p**3 - 3081*p**2 - 3042*p = 0?
-6, -1, 0, 13
Suppose -200*g**5 - 71015*g**4 + 65840*g**3 - 7120*g**2 = 0. What is g?
-356, 0, 1/8, 4/5
Find p such that p**3/2 - 225*p**2/2 + 3743*p/2 - 3519/2 = 0.
1, 17, 207
Factor 3*d**4/4 - 388584*d**3.
3*d**3*(d - 518112)/4
Factor -4*i**2 - 5584*i - 88320.
-4*(i + 16)*(i + 1380)
What is w in -w**2 + 14670*w - 278369 = 0?
19, 14651
Let 5*b**2 + 7153560*b + 2558671033680 = 0. What is b?
-715356
Factor -2*w**3 + 2452*w**2 + 7374*w.
-2*w*(w - 1229)*(w + 3)
Factor 3*z**4 + 110238*z**3 + 220467*z**2 + 110232*z.
3*z*(z + 1)**2*(z + 36744)
Determine d, given that d**4 - 875*d**3 - 1757*d**2 + 2631*d = 0.
-3, 0, 1, 877
Factor -5*t**2 - 51395*t - 1690590.
-5*(t + 33)*(t + 10246)
Find l such that 574575*l**4/8 - 1321485*l**3/4 + 3125343*l**2/8 - 137847*l - 18 = 0.
-1/7661, 4/5, 3
Factor -3*s**3 - 135*s**2 + 1575*s - 4125.
-3*(s - 5)**2*(s + 55)
Find r such that r**3/2 + 22*r**2 - 139*r/2 + 47 = 0.
-47, 1, 2
Let 4*j**5/3 + 188*j**4 + 532*j**3/3 - 1308*j**2 - 536*j/3 + 1120 = 0. What is j?
-140, -3, -1, 1, 2
Solve -2*c**5 + 147*c**4 + 1348*c**3 - 10911*c**2 + 11074*c + 8424 = 0.
-13, -1/2, 2, 4, 81
Factor m**3/2 - 16435*m**2/2 - 296137*m/2 - 279701/2.
(m - 16453)*(m + 1)*(m + 17)/2
Suppose 1124*n**2 - 109044*n + 1552 = 0. Calculate n.
4/281, 97
Factor -k**2 - 40101*k - 1608090201/4.
-(2*k + 40101)**2/4
Solve -5*o**5 + 415*o**4 - 8515*o**3 - 8695*o**2 + 1119300*o - 1102500 = 0.
-10, 1, 21, 50
What is o in -14*o**4/5 + 95596*o**3/5 - 27298*o**2/5 - 95596*o/5 + 27312/5 = 0?
-1, 2/7, 1, 6828
Determine l so that -2*l**4/17 - 10*l**3/17 + 2426*l**2/17 + 23890*l/17 + 49728/17 = 0.
-32, -7, -3, 37
Factor -3*i**2/8 + 435*i/2 - 13923/2.
-3*(i - 546)*(i - 34)/8
Factor l**2 + 1285*l.
l*(l + 1285)
Factor -2*k**4/3 - 3452*k**3 - 82592*k**2 - 1980160*k/3 - 1759232.
-2*(k + 8)**3*(k + 5154)/3
Factor 52*t**3 + 1552*t**2 - 5628*t - 7128.
4*(t + 1)*(t + 33)*(13*t - 54)
Solve -3*v**3/5 - 258*v**2/5 - 3621*v/5 + 13266/5 = 0 for v.
-67, -22, 3
Let 4*f**2/3 - 1564*f/3 - 2640 = 0. What is f?
-5, 396
Factor -2*n**2/9 + 268*n/3 - 10114/9.
-2*(n - 389)*(n - 13)/9
Find f such that f**4 - 1107*f**3 + 359331*f**2 - 27912017*f = 0.
0, 113, 497
Find n such that -4*n**5 + 440*n**4 + 11456*n**3 + 21120*n**2 = 0.
-20, -2, 0, 132
Find w, given that w**3/2 + 251*w**2/2 - 380*w + 254 = 0.
-254, 1, 2
Factor 2*a**3 + 2970*a**2 - 23856*a + 47776.
2*(a - 4)**2*(a + 1493)
Determine w so that -2*w**5/11 - 518*w**4/11 + 2666*w**3/11 + 6878*w**2/11 + 336*w = 0.
-264, -1, 0, 7
Factor t**2/2 - 231*t - 5324.
(t - 484)*(t + 22)/2
Let -i**5/2 + 23*i**4/2 - 129*i**3/2 - 23*i**2/2 + 65*i = 0. Calculate i.
-1, 0, 1, 10, 13
Factor m**3 - 4176*m**2 + 4351380*m + 17472400.
(m - 2090)**2*(m + 4)
Let 4*g**3 + 416*g**2 - 6100*g - 61712 = 0. What is g?
-116, -7, 19
Suppose -3*m**4 + 1409643*m**3 - 220788154161*m**2 + 11527128740591649*m = 0. What is m?
0, 156627
Factor 25*z**2/4 - 126105*z/2 + 25220.
5*(z - 10088)*(5*z - 2)/4
Find q, given that -3*q**2/4 + 1410891*q/2 - 663537804627/4 = 0.
470297
Determine r so that -5*r**4 - 650*r**3 - 2280*r*