d**3 - 7*d**2 - 8*d.
d*(d - 8)*(d + 1)
Determine f, given that 2*f**5/3 + 530*f**4/3 + 1214*f**3 + 2586*f**2 + 1548*f = 0.
-258, -3, -1, 0
Factor 2*d**2 + 62*d + 60.
2*(d + 1)*(d + 30)
Determine f, given that -7*f**5 + 33*f**4 + 24*f**3 - 164*f**2 - 48*f = 0.
-2, -2/7, 0, 3, 4
Find z, given that -4*z**2/7 + 1940*z/7 - 235225/7 = 0.
485/2
Factor 3*n**3 - 6*n**2 - 57*n + 60.
3*(n - 5)*(n - 1)*(n + 4)
Determine t so that 15*t**2 + 15490*t + 10320 = 0.
-1032, -2/3
Factor -2*j**3 + 15*j**2 - 28*j + 15.
-(j - 5)*(j - 1)*(2*j - 3)
Factor -q**5/2 - 37*q**4/2 - 71*q**3/2 - 35*q**2/2.
-q**2*(q + 1)**2*(q + 35)/2
Factor a**2/2 + 133*a/2 + 66.
(a + 1)*(a + 132)/2
Solve 2*d**5 - 170*d**4 + 3524*d**3 + 3868*d**2 - 3526*d - 3698 = 0 for d.
-1, 1, 43
Find b, given that -3*b**3 + 153*b**2 + 315*b + 159 = 0.
-1, 53
Let 6*u**5/11 - 4*u**4 + 98*u**3/11 - 76*u**2/11 + 16*u/11 = 0. Calculate u.
0, 1/3, 1, 2, 4
Determine b, given that 2*b**5/15 - 36*b**4/5 - 112*b**3/5 - 68*b**2/3 - 38*b/5 = 0.
-1, 0, 57
Find g such that 2*g**2/9 + 112*g/3 + 664/9 = 0.
-166, -2
Factor 2*s**4/13 + 1024*s**3/13 + 196608*s**2/13 + 16777216*s/13 + 536870912/13.
2*(s + 128)**4/13
Determine q, given that 4*q**3 - 93*q**2 + 104*q + 132 = 0.
-3/4, 2, 22
Find s, given that -2*s**3/15 - 12*s**2/5 + 2*s/15 + 12/5 = 0.
-18, -1, 1
Let -u**3 + 3527*u**2 = 0. Calculate u.
0, 3527
Suppose 3*q**4 + 18*q**3 - 81*q**2 - 324*q + 972 = 0. What is q?
-6, 3
Determine b, given that -1340*b**3 + 308*b**2 + 1064*b - 32 = 0.
-4/5, 2/67, 1
Factor -3*b**5 + 9*b**4 + 57*b**3 - 189*b**2 - 162*b + 648.
-3*(b - 3)**3*(b + 2)*(b + 4)
Find s, given that -5*s**3 + 515*s**2 - 8500*s - 9020 = 0.
-1, 22, 82
Find q, given that q**5/3 + 80*q**4/9 - 3*q**3 = 0.
-27, 0, 1/3
Factor 5*x**4 - 650*x**3 + 19740*x**2 + 93130*x - 112225.
5*(x - 67)**2*(x - 1)*(x + 5)
Factor -4*w**2 + 172*w + 960.
-4*(w - 48)*(w + 5)
Suppose -t**5/11 + 13*t**4/11 - 42*t**3/11 + 58*t**2/11 - 37*t/11 + 9/11 = 0. What is t?
1, 9
Factor 4*y**2 + 32*y - 132.
4*(y - 3)*(y + 11)
Suppose -c**2/5 + 27*c/5 + 28/5 = 0. What is c?
-1, 28
Suppose b**5/4 - 3*b**4/2 + b**3 + 3*b**2/2 - 5*b/4 = 0. Calculate b.
-1, 0, 1, 5
Suppose 2*l**5/17 + 10*l**4/17 + 12*l**3/17 = 0. Calculate l.
-3, -2, 0
Factor -o**4 + 20*o**3 - 106*o**2 + 204*o - 117.
-(o - 13)*(o - 3)**2*(o - 1)
Factor 18*x**5 + 798*x**4 + 11612*x**3 + 52740*x**2 - 39150*x + 6750.
2*(x + 15)**3*(3*x - 1)**2
Factor -2*l**2/17 + 322*l/17 + 1320/17.
-2*(l - 165)*(l + 4)/17
Factor c**3/5 + 9969*c**2/5 + 33126987*c/5 + 36693659267/5.
(c + 3323)**3/5
Factor 5*x**3 - 10*x**2 - 45*x + 90.
5*(x - 3)*(x - 2)*(x + 3)
Factor 2*a**4 - 2*a**3 - 18*a**2 - 22*a - 8.
2*(a - 4)*(a + 1)**3
Factor 382*a**2/5 - 12*a/5.
2*a*(191*a - 6)/5
Let 3*t**3/2 - 9*t**2 + 27*t/2 - 6 = 0. What is t?
1, 4
Solve 2*b**5/17 - 4*b**4/17 + 2*b**3/17 = 0.
0, 1
Let 4*m**2/15 + 86*m/3 + 214/15 = 0. Calculate m.
-107, -1/2
Solve s**3/2 + 1039*s**2 + 1079521*s/2 = 0.
-1039, 0
Suppose -5*n**2 - 55*n - 120 = 0. What is n?
-8, -3
Factor -4*j**4 + 872*j**3 - 45748*j**2 - 193584*j - 197136.
-4*(j - 111)**2*(j + 2)**2
Let c**4/2 - 6*c**3 + 27*c**2/2 + 20*c = 0. Calculate c.
-1, 0, 5, 8
Solve g**2/3 - 119*g/3 - 242/3 = 0 for g.
-2, 121
Factor 2*a**3 + 1812*a**2 + 408600*a - 824464.
2*(a - 2)*(a + 454)**2
Determine u so that 8*u**3 + 276*u**2 - 752*u - 444 = 0.
-37, -1/2, 3
Factor -10*b**2 - 44*b - 48.
-2*(b + 2)*(5*b + 12)
Let -3*y**4/5 - 99*y**3/5 - 336*y**2/5 + 1872*y + 1920 = 0. What is y?
-20, -1, 8
Let -2*m**3/15 + 34*m**2/15 - 32*m/3 + 128/15 = 0. What is m?
1, 8
Factor -2*i**2/5 - 5752*i/5 - 4135688/5.
-2*(i + 1438)**2/5
Factor -18*u**3/7 - 24*u**2/7 + 22*u/7 - 4/7.
-2*(u + 2)*(3*u - 1)**2/7
Solve 15*g**3 - 65*g**2 + 70*g = 0.
0, 2, 7/3
Find s, given that -3*s**3/2 + 48*s**2 - 57*s/2 - 558 = 0.
-3, 4, 31
Factor y**2/6 + 4*y/3 + 5/2.
(y + 3)*(y + 5)/6
Factor -3*l**2 + 18*l + 21.
-3*(l - 7)*(l + 1)
Factor 5*p**4 + 20*p**3 - 55*p**2 + 30*p.
5*p*(p - 1)**2*(p + 6)
Find g such that 6*g**4/7 + 60*g**3/7 + 96*g**2/7 - 540*g/7 - 1350/7 = 0.
-5, -3, 3
Let -4*s**5 - 41*s**4 - 38*s**3 + 65*s**2 + 18*s = 0. Calculate s.
-9, -2, -1/4, 0, 1
Factor -5*j**3 - 85*j**2 - 280*j - 260.
-5*(j + 2)**2*(j + 13)
Factor -d**5 - 6*d**4 - 4*d**3 + 24*d**2 + 32*d.
-d*(d - 2)*(d + 2)**2*(d + 4)
Factor -r**2/5 + 6*r/5 + 72/5.
-(r - 12)*(r + 6)/5
Suppose 2*z**3 + 10*z**2 - 122*z + 110 = 0. Calculate z.
-11, 1, 5
Find i, given that 25*i**4 - 2990*i**3 + 88800*i**2 + 36000*i = 0.
-2/5, 0, 60
Let 3*c**3 - 36*c**2 + 108*c - 96 = 0. What is c?
2, 8
Factor h**2 - 234*h + 13689.
(h - 117)**2
Suppose 4*j**4/3 + 92*j**3 + 264*j**2 - 16*j/3 - 352 = 0. Calculate j.
-66, -2, 1
Factor 2*z**3/9 - 124*z**2/3 + 1922*z.
2*z*(z - 93)**2/9
Factor -2*i**2 + 24*i - 54.
-2*(i - 9)*(i - 3)
Determine y, given that -2*y**5/5 + 358*y**4/5 - 354*y**3/5 - 358*y**2/5 + 356*y/5 = 0.
-1, 0, 1, 178
Factor -s**3/4 - s**2 - s.
-s*(s + 2)**2/4
Factor 15*z**3 + 1254*z**2 + 25956*z - 10584.
3*(z + 42)**2*(5*z - 2)
Factor h**2 - 5*h - 36.
(h - 9)*(h + 4)
Factor -3*i**3 - 81*i**2 - 153*i + 6069.
-3*(i - 7)*(i + 17)**2
Factor -2*f**2/3 - 19376*f/3 - 46928672/3.
-2*(f + 4844)**2/3
Let -5*t**2 - 4270*t - 911645 = 0. What is t?
-427
Determine k, given that -k**4 + 8*k**3 + 21*k**2 - 108*k = 0.
-4, 0, 3, 9
Solve y**3/7 + y**2 - 26*y/7 - 72/7 = 0 for y.
-9, -2, 4
Find c such that -3*c**4/2 - 267*c**3/2 - 972*c**2 = 0.
-81, -8, 0
Suppose -x**4/4 - 6*x**3 - 52*x**2 - 192*x - 256 = 0. What is x?
-8, -4
Factor -2*y**4/19 + 164*y**3/19 - 936*y**2/19 + 1840*y/19 - 64.
-2*(y - 76)*(y - 2)**3/19
Suppose 5*o**4 + 10*o**3 - 15*o**2 - 40*o - 20 = 0. Calculate o.
-2, -1, 2
Let 12*a**5 - 460*a**4 - 312*a**3 = 0. Calculate a.
-2/3, 0, 39
Determine c, given that -3*c**5 - 66*c**4 - 384*c**3 - 672*c**2 = 0.
-14, -4, 0
Let 5*j**5 + 5*j**4 - 40*j**3 - 40*j**2 + 80*j + 80 = 0. What is j?
-2, -1, 2
Suppose -l**5 + 21*l**4 + 287*l**3 + 699*l**2 + 434*l = 0. Calculate l.
-7, -2, -1, 0, 31
Solve -4*w**5 + 76*w**3 + 8*w**2 - 192*w - 128 = 0.
-4, -1, 2, 4
Factor 2*a**3/3 - 4*a**2/3 - 86*a/3 + 280/3.
2*(a - 5)*(a - 4)*(a + 7)/3
Factor y**5/10 + 3*y**4/10 + y**3/5 - y**2/5 - 3*y/10 - 1/10.
(y - 1)*(y + 1)**4/10
Determine y, given that -3*y**3 + 186*y**2 - 360*y = 0.
0, 2, 60
Factor 2*z**2 + 248*z + 7688.
2*(z + 62)**2
Let -2*k**3 + 568*k**2 = 0. Calculate k.
0, 284
Suppose 5*g**5 + 300*g**4 + 575*g**3 - 300*g**2 - 580*g = 0. Calculate g.
-58, -2, -1, 0, 1
Factor -3*c**4/5 - 3*c**3 - 18*c**2/5.
-3*c**2*(c + 2)*(c + 3)/5
Solve -12*t**5 + 189*t**4/5 - 21*t**3/5 - 258*t**2/5 + 36*t/5 + 24/5 = 0.
-1, -1/4, 2/5, 2
Factor b**3/2 - 989*b**2/2 + 121520*b + 369024.
(b - 496)**2*(b + 3)/2
Let 17*w**5/2 - 42*w**4 + 40*w**3 + 45*w**2 - 97*w/2 - 3 = 0. What is w?
-1, -1/17, 1, 2, 3
Solve -3*q**5/4 + 105*q**4/4 - 273*q**3/2 + 339*q**2/2 + 549*q/4 - 783/4 = 0.
-1, 1, 3, 29
Let 8*q**4/15 - 6*q**3/5 + 4*q**2/5 - 2*q/15 = 0. What is q?
0, 1/4, 1
Factor -3*o**2 + 213*o/2 - 105/2.
-3*(o - 35)*(2*o - 1)/2
Factor -4*i**2/3 - 248*i/3 + 84.
-4*(i - 1)*(i + 63)/3
Factor h**4/11 + 4*h**3/11 - 5*h**2/11.
h**2*(h - 1)*(h + 5)/11
Factor 2*z**3/9 + 370*z**2/9 - 124*z/3.
2*z*(z - 1)*(z + 186)/9
Determine c so that 16*c**3 + 12*c**2 - 676*c + 168 = 0.
-7, 1/4, 6
Solve x**2/5 - 8*x/5 - 33/5 = 0 for x.
-3, 11
Suppose -y**4/3 - 253*y**3/6 - 833*y**2/6 + 572*y - 246 = 0. Calculate y.
-123, -6, 1/2, 2
Factor 4*q**2 + 80*q + 336.
4*(q + 6)*(q + 14)
Find v, given that -v**4/5 - 43*v**3/5 - 684*v**2/5 - 4752*v/5 - 12096/5 = 0.
-12, -7
Factor -4*c**4 + 36*c**2 - 16*c - 48.
-4*(c - 2)**2*(c + 1)*(c + 3)
Solve -y**5/7 - 51*y**4/7 - 624*y**3/7 + 676*y**2/7 = 0.
-26, 0, 1
Factor -h**3/2 + 8*h**2 + h/2 - 8.
-(h - 16)*(h - 1)*(h + 1)/2
Find g such that -g**2/8 - 31*g/8 + 39 = 0.
-39, 8
Suppose -6*t**5 + 368*t**4 - 1436*t**3/3 - 248*t**2/3 + 478*t/3 + 40 = 0. Calculate t.
-1/3, 1, 60
Find k, given that -4*k**2 - 188*k - 1920 = 0.
-32, -15
Factor y**3/5 - 3*y**2/5 - 28*y/5.
y*(y - 7)*(y + 4)/5
Suppose -3*x**5/4 + 9*x**3/2 + 6*x**2 + 9*x/4 = 0. What is x?
-1, 0, 3
Factor -2*u**4/7 + 6*u**3/7 + 48*u**2/7 - 160*u/7.
-2*u*(u - 4)**2*(u + 5)/7
Suppose 3*i**3 + 36*i**2 - 1377*i + 7290 = 0. What is i?
-30, 9
Find k such that -48*k**5/7 - 24*k**4 + 5325*k**3/7 - 7620*k**2/7 + 2823*k/7 - 312/7 = 0.
-13, 1/