*2 - 272720*r - 2273600 = 0.
-5, 28, 116
Determine c, given that 252*c**5 + 13340*c**4 + 49284*c**3 + 33012*c**2 - 5536*c - 2352 = 0.
-49, -3, -1, -2/9, 2/7
Factor -4*n**3 - 8004*n**2 + 710532*n - 15435452.
-4*(n - 43)**2*(n + 2087)
What is n in -2*n**5/5 - 474*n**4/5 - 998*n**3 - 766*n**2 + 53592*n/5 - 44296/5 = 0?
-226, -7, 1, 2
Determine p, given that -p**3/6 + 725627*p**2/6 - 131632547335*p/6 - 131634724225/2 = 0.
-3, 362815
Suppose -4*i**4/3 + 7264*i**3/9 + 2988*i**2 - 58384*i/9 - 16240/3 = 0. Calculate i.
-5, -2/3, 2, 609
Factor -2*u**3 - 13162*u**2 - 65768*u - 52608.
-2*(u + 1)*(u + 4)*(u + 6576)
Find z, given that -z**4/2 - 291*z**3 - 82321*z**2/2 + 343380*z - 696200 = 0.
-295, 4
Factor 1607*v**4/3 + 1072*v**3 + 537*v**2 + 2*v/3.
v*(v + 1)**2*(1607*v + 2)/3
Solve p**2/4 - 6593*p - 26373/4 = 0 for p.
-1, 26373
Find t, given that -t**2/5 - 1708*t - 93819/5 = 0.
-8529, -11
What is s in -2*s**5/15 - 652*s**4/15 - 4752*s**3 - 886464*s**2/5 - 1679616*s/5 = 0?
-108, -2, 0
Suppose 9*b**5/7 - 4056*b**4/7 + 632556*b**3/7 - 37371456*b**2/7 + 508363776*b/7 - 322486272/7 = 0. Calculate b.
2/3, 18, 144
Factor 3*k**4/4 + 11511*k**3 + 117803565*k**2/2 + 100545273675*k + 1204424062875/4.
3*(k + 3)*(k + 5115)**3/4
Find u, given that -3*u**5/8 - 729*u**4/8 - 4233*u**3/8 + 7893*u**2/8 + 4245*u/2 - 4977/2 = 0.
-237, -7, -2, 1, 2
Factor -4*p**2/3 + 2000*p/3 - 5248.
-4*(p - 492)*(p - 8)/3
Solve 4*o**5 + 7360*o**4/3 + 17128*o**3/3 + 12224*o**2/3 + 2444*o/3 = 0 for o.
-611, -1, -1/3, 0
Factor -5*z**4 - 124375*z**3 - 373095*z**2 - 373085*z - 124360.
-5*(z + 1)**3*(z + 24872)
Factor -3*r**2 - 413442*r - 14244523947.
-3*(r + 68907)**2
Factor 2*n**3 + 1092*n**2 + 87768*n - 18202320.
2*(n - 90)*(n + 318)**2
Let 3*x**4/5 + 29307*x**3/5 - 5865*x**2 - 146559*x/5 - 17586 = 0. What is x?
-9770, -1, 3
Factor 5*q**2 - 22480*q + 89840.
5*(q - 4492)*(q - 4)
Determine i, given that 3*i**4 - 9360*i**3 + 37407*i**2 - 46746*i + 18696 = 0.
1, 2, 3116
Factor 2*p**3 - 862*p**2 + 89790*p + 671454.
2*(p - 219)**2*(p + 7)
Let -d**5 + 5*d**4 - 3*d**3 - 17*d**2 + 28*d - 12 = 0. What is d?
-2, 1, 2, 3
Determine m so that 8*m**5/11 + 486*m**4/11 + 3044*m**3/11 - 12654*m**2/11 + 9116*m/11 = 0.
-53, -43/4, 0, 1, 2
Solve 2*t**3 - 910*t**2 + 118976*t - 3374592 = 0.
39, 208
Factor 2*b**2/9 + 9842*b/9 + 9836/3.
2*(b + 3)*(b + 4918)/9
Factor b**4/6 + 95*b**3/6 + 1031*b**2/6 + 2905*b/6.
b*(b + 5)*(b + 7)*(b + 83)/6
Factor -3*a**3 - 1017*a**2 - 110565*a - 3772575.
-3*(a + 69)*(a + 135)**2
Factor s**3/4 - 74*s**2 + 1459*s/4 - 291.
(s - 291)*(s - 4)*(s - 1)/4
Solve -8*p**3 + 260*p**2 + 700*p = 0 for p.
-5/2, 0, 35
Suppose 8*g**4/15 + 20530*g**3/3 + 109713586*g**2/5 - 301996854*g/5 - 82355778/5 = 0. What is g?
-6417, -1/4, 3
Factor 3*v**2 - 56685*v.
3*v*(v - 18895)
What is j in 6932*j**4 - 34652*j**3 - 40*j**2 = 0?
-2/1733, 0, 5
Factor 2*i**3/9 - 7972*i**2/9 + 858770*i/9 - 7816600/3.
2*(i - 3876)*(i - 55)**2/9
Let j**3/3 - 36*j**2 + 557*j + 1780/3 = 0. What is j?
-1, 20, 89
Let f**2 + 403*f - 404 = 0. Calculate f.
-404, 1
Find o, given that 5*o**5/2 - 285*o**4/2 + 115*o**3 + 8400*o**2 + 22000*o = 0.
-4, 0, 10, 55
Factor 428*j**2 - 1722*j + 40.
2*(j - 4)*(214*j - 5)
Solve -4*w**5 - 3192*w**4 - 22164*w**3 - 12608*w**2 + 37968*w = 0.
-791, -6, -2, 0, 1
Determine c so that -42*c**4/11 + 64*c**3/11 - 18*c**2/11 - 4*c/11 = 0.
-1/7, 0, 2/3, 1
Suppose -4*c**4/5 - 1246*c**3/5 - 33214*c**2/5 + 17544*c/5 + 3384 = 0. Calculate c.
-282, -30, -1/2, 1
Factor 4*r**2/7 + 2784*r/7 + 47696.
4*(r + 154)*(r + 542)/7
Factor 5*o**2 + 4647420*o + 1079925632820.
5*(o + 464742)**2
Solve x**2 + 838*x - 9339 = 0.
-849, 11
Factor -w**2 + 17206*w - 34408.
-(w - 17204)*(w - 2)
Factor -2*f**2/25 + 722012*f/25 - 65162666018/25.
-2*(f - 180503)**2/25
Find c, given that -43324*c**3 - 43268*c**2 + 56*c = 0.
-1, 0, 14/10831
Suppose -2*t**3/3 + 196*t**2/3 + 5390*t/3 - 664048/3 = 0. What is t?
-56, 77
Factor -2*h**3/3 - 2114*h**2/3 - 186560*h - 185856.
-2*(h + 1)*(h + 528)**2/3
Solve 2*j**2/13 - 1278*j/13 + 80656/13 = 0 for j.
71, 568
Determine r, given that 16*r**5/9 + 412*r**4 + 182528*r**3/9 - 3752492*r**2/9 + 5022496*r/3 - 11501248/9 = 0.
-124, 1, 17/4, 11
Solve -93*g**2/5 + 381*g/5 + 1134/5 = 0.
-2, 189/31
Suppose -2*n**2 + 32652*n - 32650 = 0. Calculate n.
1, 16325
Factor 3*c**3 - 1959*c**2 - 27*c + 17631.
3*(c - 653)*(c - 3)*(c + 3)
Factor -2*q**3 - 88394*q**2 - 976731600*q - 976643208.
-2*(q + 1)*(q + 22098)**2
Factor 3*u**3/2 - 585*u**2/2 + 1701*u.
3*u*(u - 189)*(u - 6)/2
Determine d, given that 2*d**3/5 + 304*d**2/5 + 1458*d/5 - 1764/5 = 0.
-147, -6, 1
Factor t**3 - 2380*t**2 - 9532*t - 9536.
(t - 2384)*(t + 2)**2
Determine w, given that 33*w**5 - 497*w**4 + 855*w**3 + 445*w**2 - 888*w + 52 = 0.
-1, 2/33, 1, 2, 13
Find r, given that 48*r**2 - 1335*r - 252 = 0.
-3/16, 28
Factor 2*y**3/7 + 20696*y**2/7 - 20698*y/7.
2*y*(y - 1)*(y + 10349)/7
Factor 2*o**3/5 - 17516*o**2/5 + 279872*o/5 - 1118976/5.
2*(o - 8742)*(o - 8)**2/5
Let 2*h**2/9 + 26*h/3 + 760/9 = 0. What is h?
-20, -19
Let 3*b**2/2 + 16728*b - 167430 = 0. Calculate b.
-11162, 10
Factor q**3 + 18915*q**2 + 37827*q + 18913.
(q + 1)**2*(q + 18913)
Suppose 4*q**5/3 + 58*q**4/3 + 98*q**3/3 - 1552*q**2/3 - 1672*q + 960 = 0. Calculate q.
-8, -6, 1/2, 5
Suppose -n**4/3 - 50*n**3 + 5045*n**2/3 - 8650*n + 32936/3 = 0. What is n?
-179, 2, 4, 23
Factor -o**3 + 31558*o**2 - 63112*o.
-o*(o - 31556)*(o - 2)
Find m such that -m**3 + 3084*m**2 - 3083*m = 0.
0, 1, 3083
Factor 8*j**3 - 212*j**2 - 108*j.
4*j*(j - 27)*(2*j + 1)
Let 5307*i**4/2 + 13267*i**3 - 5*i**2/2 = 0. What is i?
-5, 0, 1/5307
Find k such that -2*k**2 + 8846*k + 53148 = 0.
-6, 4429
Solve 2*o**3/5 + 42094*o**2/5 + 221593302*o/5 + 221382882 = 0.
-10521, -5
Solve -4*r**5 + 296*r**4/3 - 443*r**3/3 - 415*r**2/3 + 181*r + 69 = 0 for r.
-1, -1/3, 3/2, 23
Factor 121*a**5 + 25278*a**4 + 1306341*a**3 - 1447740*a**2 + 396900*a.
a*(a + 105)**2*(11*a - 6)**2
Let 2*q**2/7 - 23000*q/7 + 22998/7 = 0. What is q?
1, 11499
Factor b**3 - 91*b**2 + 2499*b - 21609.
(b - 49)*(b - 21)**2
Find c, given that -4*c**2 + 884*c - 1752 = 0.
2, 219
Factor s**3/3 - 10381*s**2/3 - 20765*s/3 - 3461.
(s - 10383)*(s + 1)**2/3
Factor 3*c**3 - 216*c**2 - 1008*c + 7296.
3*(c - 76)*(c - 4)*(c + 8)
What is h in -60*h**5 - 2885*h**4 - 37320*h**3 - 68850*h**2 - 36980*h - 2625 = 0?
-25, -21, -1, -1/12
Factor 3*d**2 + 40959*d - 122904.
3*(d - 3)*(d + 13656)
Factor 2*i**3/11 + 128*i**2/11 + 1862*i/11 + 408.
2*(i + 3)*(i + 17)*(i + 44)/11
Find c such that -4*c**3 + 584*c**2 + 45840*c + 741600 = 0.
-30, 206
Factor y**2/6 - 6571*y + 129534123/2.
(y - 19713)**2/6
Factor x**2/5 - 666*x + 6656/5.
(x - 3328)*(x - 2)/5
Factor -28756*f**2 - 44214*f + 40.
-2*(13*f + 20)*(1106*f - 1)
Suppose f**4/7 + 564*f**3/7 + 6102*f**2/7 + 10516*f/7 + 711 = 0. Calculate f.
-553, -9, -1
Solve 2*y**4 - 22*y**3 - 782*y**2 + 22*y + 780 = 0.
-15, -1, 1, 26
Suppose 2*g**4/9 + 1912*g**3/9 + 69628*g**2 + 8402328*g + 190134498 = 0. What is g?
-309, -29
Find x, given that 3*x**5/7 + 54*x**4/7 - 9*x**3 - 114*x**2/7 = 0.
-19, -1, 0, 2
Suppose -j**4/7 - 521*j**3/7 - 68108*j**2/7 - 61360*j/7 + 811200/7 = 0. What is j?
-260, -4, 3
What is f in 3*f**4 + 26067*f**3 + 156330*f**2 + 312612*f + 208392 = 0?
-8683, -2
Factor c**2/3 - 278*c - 835/3.
(c - 835)*(c + 1)/3
Factor 4*p**4 + 88*p**3 - 1060*p**2 + 1736*p.
4*p*(p - 7)*(p - 2)*(p + 31)
Find t such that -4*t**3 - 24956*t**2 - 298976*t - 498160 = 0.
-6227, -10, -2
Factor 4*z**2 + 9920*z + 69244.
4*(z + 7)*(z + 2473)
Let -3*h**3 - 6003*h**2 + 12027*h + 18027 = 0. Calculate h.
-2003, -1, 3
Factor 4*t**2/5 + 852*t/5 + 848/5.
4*(t + 1)*(t + 212)/5
Factor -r**4/6 - 22363*r**3/6 - 55547193*r**2/2 - 413325708617*r/6 + 1658641091972/3.
-(r - 8)*(r + 7457)**3/6
What is p in 2*p**5/13 - 766*p**4/13 + 22108*p**3/13 + 124444*p**2/13 + 179490*p/13 + 5994 = 0?
-3, -1, 37, 351
Solve d**2 - 1549*d - 1550 = 0 for d.
-1, 1550
Solve 2*s**3/19 + 451012*s**2/19 + 25426929024*s/19 + 50852054016/19 = 0 for s.
-112752, -2
Factor -3*s**2/4 - 6909*s/2 + 291501/4.
-3*(s - 21)*(s + 4627)/4
Let -3*j**4 - 375*j**3 - 3102*j**2 + 3480*j = 0. Calculate j.
-116, -10, 0, 1
Factor -2*t**3 - 171066*t**2 - 855288*t - 684224.
-2*(t + 1)*(t + 4)*(t + 85528)
Factor -3*z**3/7 + 1151*z**2/7 - 9766*