rmine r so that -4*r**3 - 4550*r**2 + 2276*r = 0.
-1138, 0, 1/2
Determine g, given that -16*g**5 + 15576*g**4 - 3882537*g**3 + 44375148*g**2 = 0.
0, 12, 1923/4
Find i, given that -4*i**3 + 1628*i**2 - 8056*i + 6432 = 0.
1, 4, 402
Factor 2*q**3 + 65682*q**2 + 539232798*q - 539298482.
2*(q - 1)*(q + 16421)**2
Factor -3*v**5 + 234444*v**4 - 4580097975*v**3 - 9161133750*v**2.
-3*v**2*(v - 39075)**2*(v + 2)
Factor 3*w**3/2 + 3447*w**2/2 - 1008864*w + 122659014.
3*(w - 226)**2*(w + 1601)/2
Find c, given that 4*c**4/3 + 9848*c**3/3 - 4*c**2/3 - 9848*c/3 = 0.
-2462, -1, 0, 1
Suppose 100*g**5 + 4580*g**4 + 49976*g**3 - 59336*g**2 - 50076*g + 54756 = 0. What is g?
-117/5, -1, 1
Find a such that 2*a**3/13 - 77462*a**2/13 - 309880*a/13 = 0.
-4, 0, 38735
Factor a**4 + 74*a**3 + 1569*a**2 + 7276*a + 5780.
(a + 1)*(a + 5)*(a + 34)**2
Factor -h**2 + 92648*h - 2145912976.
-(h - 46324)**2
Factor 3*z**2 - 57585*z.
3*z*(z - 19195)
Let -108*h**5/7 - 235944*h**4/7 - 131496339*h**3/7 - 2858853747*h**2/7 + 963913647*h/7 - 80630709/7 = 0. What is h?
-1081, -23, 1/6
Let u**2/7 - 12*u + 1728/7 = 0. What is u?
36, 48
What is u in 2*u**2 - 6004*u - 48160 = 0?
-8, 3010
What is m in -22601381445*m**3/2 - 22601112513*m**2/2 + 672328*m/5 - 2/5 = 0?
-1, 2/336165
Suppose 80*t**5 + 256145*t**4 - 304270*t**3 + 48045*t**2 = 0. What is t?
-3203, 0, 3/16, 1
Solve -32*l**4/7 - 454*l**3/7 + 908*l**2/7 - 326*l/7 - 96/7 = 0.
-16, -3/16, 1
Solve w**5 + 548*w**4 + 1089*w**3 - 1642*w**2 - 2180*w + 2184 = 0.
-546, -2, 1
Solve 2*k**2 - 1070*k - 127000 = 0 for k.
-100, 635
Factor -2*p**2/3 - 316*p/3 + 640/3.
-2*(p - 2)*(p + 160)/3
Factor -q**2 - 757*q - 46852.
-(q + 68)*(q + 689)
Factor d**4 + 306*d**3 - 3251*d**2 - 4078980*d + 177688900.
(d - 62)**2*(d + 215)**2
Factor 2*b**3/13 - 210*b**2/13 + 4150*b/13 + 26250/13.
2*(b - 75)*(b - 35)*(b + 5)/13
Factor a**3/6 - 8*a**2/3 - 631*a/6 + 323/3.
(a - 34)*(a - 1)*(a + 19)/6
Find a, given that 27*a**5/4 - 2691*a**4/4 - 3315*a**3/2 + 5181*a**2 + 2154*a - 1224 = 0.
-4, -2/3, 1/3, 2, 102
Let -7*b**3/4 - 555*b**2/4 - 4699*b/2 - 660 = 0. What is b?
-55, -24, -2/7
Determine k, given that 4*k**2 + 14756*k + 44232 = 0.
-3686, -3
Factor 2*i**3/13 + 340*i**2/13 + 19256*i/13 + 363312/13.
2*(i + 54)*(i + 58)**2/13
What is r in 3*r**2/4 - 687*r/2 - 98469/4 = 0?
-63, 521
Determine p, given that p**5 - 17*p**4 - 153*p**3 + 2873*p**2 - 2704*p = 0.
-13, 0, 1, 13, 16
Find g, given that -g**3 + 1825*g**2 - 868808*g + 32622224 = 0.
41, 892
Factor -26*a**2/5 - 1236*a/5 - 658/5.
-2*(a + 47)*(13*a + 7)/5
Factor 2*p**2/9 - 188516*p + 39980567538.
2*(p - 424161)**2/9
Solve 3*z**2 - 37461*z + 2014146 = 0.
54, 12433
Factor -5*j**2 + 314975*j + 314980.
-5*(j - 62996)*(j + 1)
Factor g**2/2 - 3021*g/2 + 10549.
(g - 3014)*(g - 7)/2
Solve 35*d**2 - 11685*d - 25200 = 0 for d.
-15/7, 336
Find l, given that 2*l**5/5 + 74*l**4/5 - 404*l**3/5 + 664*l**2/5 - 336*l/5 = 0.
-42, 0, 1, 2
Factor -4*d**3 - 260*d**2 + 1088*d - 1104.
-4*(d - 2)**2*(d + 69)
Factor d**4 + 240*d**3 + 3375*d**2.
d**2*(d + 15)*(d + 225)
Solve 81*j**4 + 1881*j**3 - 6650*j**2 - 21300*j - 13000 = 0 for j.
-26, -10/9, 5
Find q such that -2*q**5 + 84*q**4 - 1260*q**3 + 8208*q**2 - 23490*q + 24300 = 0.
3, 6, 15
Factor 28*d**4/9 - 106*d**3/3 + 104*d**2 - 824*d/9.
2*d*(d - 2)**2*(14*d - 103)/9
Suppose -t**2/9 + 1369*t/3 + 8218/9 = 0. Calculate t.
-2, 4109
Factor 4*k**2 - 1068*k - 217080.
4*(k - 402)*(k + 135)
Determine b so that 4*b**3 + 64*b**2 - 2964*b - 45360 = 0.
-28, -15, 27
Factor 225*m**2 + 1936320*m + 4165927936.
(15*m + 64544)**2
Factor -3*k**3/2 - 1497*k**2 - 5964*k.
-3*k*(k + 4)*(k + 994)/2
Factor 5*i**5 + 445*i**4 - 1840*i**3 + 1860*i**2.
5*i**2*(i - 2)**2*(i + 93)
Factor 7*j**3/3 - 1809*j**2 - 9328*j/3 + 1036.
(j - 777)*(j + 2)*(7*j - 2)/3
Factor 4*a**4 + 32*a**3 - 4836*a**2 - 39200*a - 78400.
4*(a - 35)*(a + 4)**2*(a + 35)
Factor t**2/4 + 12651*t/4 - 114021/2.
(t - 18)*(t + 12669)/4
Factor o**3/9 - 704*o**2/9 + 1405*o/9 - 78.
(o - 702)*(o - 1)**2/9
Suppose 4*h**2 + 30720*h + 58982400 = 0. What is h?
-3840
Let -3*m**3/4 + 909*m**2 + 10935*m/4 = 0. Calculate m.
-3, 0, 1215
Factor 2*v**2/9 - 66*v + 1620.
2*(v - 270)*(v - 27)/9
Factor 4*k**2 + 180496*k + 2036175376.
4*(k + 22562)**2
Find u, given that 3*u**4 - 114*u**3 + 393*u**2 + 510*u = 0.
-1, 0, 5, 34
Suppose 5*s**5 + 55*s**4 = 0. What is s?
-11, 0
Factor 5*d**4 - 17670*d**3 + 105900*d**2 - 211720*d + 141120.
5*(d - 3528)*(d - 2)**3
Factor -4*i**3/7 - 404*i**2 - 60480*i + 4000752.
-4*(i - 49)*(i + 378)**2/7
Find f such that 7*f**3/2 + 647*f**2/4 - 22810*f - 19581/4 = 0.
-107, -3/14, 61
Solve -2*q**5/9 - 410*q**4/9 - 20372*q**3/9 + 67376*q**2/9 + 126464*q/9 - 173056/9 = 0.
-104, -2, 1, 4
Factor -2*v**3 + 224*v**2 - 6442*v + 44020.
-2*(v - 71)*(v - 31)*(v - 10)
Factor -2387*a**2 + 1186*a + 15/4.
-(2*a - 1)*(4774*a + 15)/4
Solve -289*s**2 - 60588*s - 3175524 = 0.
-1782/17
Solve -2*c**2/7 + 265968*c/7 - 531928/7 = 0.
2, 132982
Factor -5*m**2 - 370*m - 6000.
-5*(m + 24)*(m + 50)
What is i in -16875*i**3 - 216225*i**2 - 829272*i - 998004 = 0?
-7, -218/75
Solve -2*x**4/13 - 40*x**3/13 - 102*x**2/13 + 720*x/13 = 0 for x.
-15, -8, 0, 3
Suppose 2*n**2 - 50*n - 448 = 0. What is n?
-7, 32
Factor 9*b**2 + 145671*b - 48558.
3*(b + 16186)*(3*b - 1)
Factor d**2/7 + 2041*d - 85758/7.
(d - 6)*(d + 14293)/7
Factor -2*g**3/9 - 436*g**2/3 - 1152*g - 20672/9.
-2*(g + 4)**2*(g + 646)/9
Factor 2*s**2/9 + 6320*s/9 - 4216/3.
2*(s - 2)*(s + 3162)/9
Suppose 2*o**3 + 1114*o**2 + 112582*o - 12573730 = 0. Calculate o.
-311, 65
Let -3*k**3/4 + 1347*k**2/4 - 3321*k/2 - 1998 = 0. What is k?
-1, 6, 444
Factor -z**4/4 + 447*z**3 - 198912*z**2 - 802816*z.
-z*(z - 896)**2*(z + 4)/4
Determine z, given that -3*z**3 - 44364*z**2 + 44367*z = 0.
-14789, 0, 1
What is s in -4*s**3 + 1380*s**2 - 76716*s - 78100 = 0?
-1, 71, 275
Find s, given that s**4/3 + 23*s**3/3 + 110*s**2/3 + 136*s/3 = 0.
-17, -4, -2, 0
Factor -2*z**3/7 - 126072*z**2/7 + 252150*z/7 - 126076/7.
-2*(z - 1)**2*(z + 63038)/7
Find h, given that -4*h**3/5 + 844*h**2/5 - 50828*h/5 + 639812/5 = 0.
17, 97
Solve -2*z**3/5 - 19976*z**2/5 - 10011874*z - 178921620 = 0 for z.
-4985, -18
Solve 55*c**4 + 9490*c**3 + 305075*c**2 + 2824160*c + 1451220 = 0.
-134, -19, -6/11
Suppose 10*l**5 + 649*l**4 - 1185*l**3 - 466288*l**2 - 418000*l + 46464 = 0. Calculate l.
-44, -1, 1/10, 24
Factor -m**2/3 + 43777*m/3.
-m*(m - 43777)/3
Factor -3*w**2 + 1840122*w.
-3*w*(w - 613374)
Suppose -15*z**2 + 2285*z + 15900 = 0. Calculate z.
-20/3, 159
Let -2*g**4 + 4660*g**3 - 32534*g**2 + 27876*g = 0. What is g?
0, 1, 6, 2323
Factor 3*n**2 + 363*n - 109620.
3*(n - 140)*(n + 261)
Suppose -18*d**5/5 + 1023*d**4/5 - 1806*d**3/5 - 501*d**2/5 + 66*d = 0. Calculate d.
-1/2, 0, 1/3, 2, 55
Suppose 2*u**4 + 48*u**3 - 11446*u**2 - 426756*u + 898880 = 0. What is u?
-53, 2, 80
Factor -2*r**3/7 + 1422*r**2/7 - 8460*r/7.
-2*r*(r - 705)*(r - 6)/7
Factor -4*v**4 - 148*v**3 - 1080*v**2.
-4*v**2*(v + 10)*(v + 27)
What is b in 258*b**2/5 - 10916*b/5 - 7392/5 = 0?
-2/3, 1848/43
Find a, given that 3*a**3 - 81025*a**2 - 162053*a/3 - 9003 = 0.
-1/3, 27009
Suppose -5*g**5 - 40*g**4 + 330*g**3 + 40*g**2 - 325*g = 0. Calculate g.
-13, -1, 0, 1, 5
Factor -198*o**4 - 144*o**3 - 8*o**2.
-2*o**2*(3*o + 2)*(33*o + 2)
Let 113*r**3 - 90175*r**2/2 - 180853*r/2 + 401 = 0. What is r?
-2, 1/226, 401
Factor 4*i**3 + 1334832*i**2 + 111361029264*i.
4*i*(i + 166854)**2
Determine q, given that q**5 - 444*q**4 - 1341*q**3 = 0.
-3, 0, 447
Factor 5*d**2 + 531160*d.
5*d*(d + 106232)
Find v such that 2*v**5/7 - 10*v**4/7 - 464*v**3/7 + 1432*v**2/7 + 27840*v/7 - 28800/7 = 0.
-10, 1, 12
Determine v, given that 5*v**2 + 42385*v - 84790 = 0.
-8479, 2
Determine s so that -4545*s**4 + 25770*s**3 - 42505*s**2 + 18320*s - 60 = 0.
1/303, 2/3, 2, 3
Find u, given that -6*u**3/19 + 412*u**2 - 13026*u/19 - 5212/19 = 0.
-1/3, 2, 1303
Find n such that -2*n**3 - 5898*n**2 + 41372*n - 35472 = 0.
-2956, 1, 6
Factor 2*o**2/5 - 110191*o/5 + 11019.
(o - 55095)*(2*o - 1)/5
Find s, given that -4*s**4/3 - 351*s**3 - 6213*s**2 + 36398*s/3 + 3416 = 0.
-244, -21, -1/4, 2
Suppose -2*v**3 + 110*v**2 + 1836*v + 6624 = 0. Calculate v.
-8, -6, 69
Factor -l**3/4 + 1783*l**2/2 - 7129*l/4 + 891.
-(l - 3564)*(l - 1)**2/4
Factor -2*q**3 + 636*q**2 - 