.
(15*j + 7)**4
Let 4*q**4 + 88*q**3 + 432*q**2 + 800*q + 512 = 0. Calculate q.
-16, -2
Factor -y**2 - 3286*y - 2699449.
-(y + 1643)**2
Determine f, given that f**2/5 + 15*f - 486/5 = 0.
-81, 6
Factor j**3 + 12*j**2 + 27*j - 40.
(j - 1)*(j + 5)*(j + 8)
Suppose b**5/2 + 201*b**4/2 - 306*b**3 + 2*b**2 + 408*b = 0. What is b?
-204, -1, 0, 2
Factor m**3/3 + m**2 - 4*m/3 - 4.
(m - 2)*(m + 2)*(m + 3)/3
Let i**4/4 - 395*i**3/4 + 12969*i**2 - 561924*i - 574992 = 0. Calculate i.
-1, 132
What is s in 3*s**2 - 594*s - 597 = 0?
-1, 199
Solve -n**3/3 - 10*n**2/3 + 23*n/3 - 4 = 0 for n.
-12, 1
Factor u**4/7 + 2*u**3/7 - 12*u**2/7 + 2*u - 5/7.
(u - 1)**3*(u + 5)/7
Factor -5*w**4 - 4815*w**3 + 29010*w**2 - 58100*w + 38760.
-5*(w - 2)**3*(w + 969)
Factor 2*c**4 + 6*c**3 - 12*c**2 - 16*c.
2*c*(c - 2)*(c + 1)*(c + 4)
Factor -2*f**2/3 - 20480*f/3 - 52428800/3.
-2*(f + 5120)**2/3
Find i such that -4*i**5 - 3580*i**4 - 1200640*i**3 - 178626560*i**2 - 9890693120*i + 10070523904 = 0.
-224, 1
Factor -4*z**4 - 4*z**3 + 16*z**2 + 16*z.
-4*z*(z - 2)*(z + 1)*(z + 2)
Factor 2*q**3/17 - 26*q**2/17 + 24*q/17.
2*q*(q - 12)*(q - 1)/17
Factor 2*d**3/3 - 12*d**2 - 2*d/3 + 12.
2*(d - 18)*(d - 1)*(d + 1)/3
Solve -12*c**4 + 140*c**3 - 480*c**2 + 400*c + 192 = 0.
-1/3, 2, 4, 6
Solve 2*k**2 + 78*k + 340 = 0.
-34, -5
Factor -a**4 + 54*a**3 - 829*a**2 + 2700*a - 2500.
-(a - 25)**2*(a - 2)**2
Factor -g**5 + 3*g**4 + 8*g**3 - 24*g**2 - 16*g + 48.
-(g - 3)*(g - 2)**2*(g + 2)**2
Factor 2*q**2 + 4*q/3.
2*q*(3*q + 2)/3
Suppose 6*n**3/7 - 8280*n**2/7 - 8286*n/7 = 0. What is n?
-1, 0, 1381
Find b, given that -2*b**2/7 - 18*b/7 - 4 = 0.
-7, -2
Find w, given that 5*w**5 + 20*w**4 + 15*w**3 - 20*w**2 - 20*w = 0.
-2, -1, 0, 1
Find v, given that 2*v**3/3 - 40*v**2/3 + 94*v/3 + 136/3 = 0.
-1, 4, 17
Suppose -2*o**2/5 + 952*o/5 - 113288/5 = 0. Calculate o.
238
Factor -65*u**3 + 315*u**2 + 50*u.
-5*u*(u - 5)*(13*u + 2)
Determine n, given that -12*n**4 - 4*n**3 + 128*n**2 - 176*n + 64 = 0.
-4, 2/3, 1, 2
Solve 5*v**4 - 40*v**3 + 30*v**2 + 200*v + 125 = 0.
-1, 5
Factor -a**3/2 + 13*a**2/2 - 24*a + 18.
-(a - 6)**2*(a - 1)/2
Factor 5*n**3 - 60*n**2 - 65*n.
5*n*(n - 13)*(n + 1)
Factor 3*y**4/4 + 129*y**3/4 + 1989*y**2/4 + 12675*y/4 + 6591.
3*(y + 4)*(y + 13)**3/4
Factor i**3/3 - 756*i**2 + 428652*i.
i*(i - 1134)**2/3
Factor -3*g**3 - 159*g**2 - 297*g + 459.
-3*(g - 1)*(g + 3)*(g + 51)
Factor -g**4/9 - 68*g**3/9 - 506*g**2/3 - 10580*g/9 + 12167/9.
-(g - 1)*(g + 23)**3/9
Factor -3*v**2 + 237*v - 234.
-3*(v - 78)*(v - 1)
Factor 5*r**4 - 615*r**3 - 1890*r**2 - 20*r + 2520.
5*(r - 126)*(r - 1)*(r + 2)**2
Let -2*d**3/5 - 26*d**2/5 - 12*d/5 + 144/5 = 0. Calculate d.
-12, -3, 2
Find j, given that 5*j**2 - 40*j - 165 = 0.
-3, 11
Factor -2*l**2 - 164*l + 166.
-2*(l - 1)*(l + 83)
Factor -5*p**4 + 55*p**2 - 90*p + 40.
-5*(p - 2)*(p - 1)**2*(p + 4)
Solve 3*z**2 + 305*z + 202 = 0 for z.
-101, -2/3
Solve -h**4 - h**3 + 18*h**2 + 52*h + 40 = 0.
-2, 5
Suppose -2*h**3/5 + 4*h**2/5 + 2*h - 12/5 = 0. What is h?
-2, 1, 3
Factor -h**2/6 + 14*h - 395/6.
-(h - 79)*(h - 5)/6
Let -2*c**3 + 488*c**2/7 - 238*c - 248/7 = 0. What is c?
-1/7, 4, 31
Suppose 24*v**5 + 460*v**4 + 1580*v**3 + 1180*v**2 - 324*v - 360 = 0. Calculate v.
-15, -3, -1, -2/3, 1/2
Find w, given that -4*w**2 - 28*w - 40 = 0.
-5, -2
Factor b**5/2 - 3*b**4 + 2*b**3 + 3*b**2 - 5*b/2.
b*(b - 5)*(b - 1)**2*(b + 1)/2
Suppose 2*z**4/5 + 12*z**3 + 72*z**2/5 - 1072*z/5 + 1344/5 = 0. Calculate z.
-28, -6, 2
Factor -2*v**5 - 10*v**4 - 20*v**3 - 20*v**2 - 10*v - 2.
-2*(v + 1)**5
Suppose -48*x**5 - 1200*x**4 - 5049*x**3 + 8664*x**2 + 12039*x + 2394 = 0. Calculate x.
-19, -7, -3/4, -1/4, 2
Solve -12*s**5/5 - 634*s**4/5 + 710*s**3 - 554*s**2 - 5898*s/5 + 1044/5 = 0.
-58, -1, 1/6, 3
Factor -x**5 - 866*x**4.
-x**4*(x + 866)
Factor -2*m**3 + 42*m**2 + 450*m + 406.
-2*(m - 29)*(m + 1)*(m + 7)
Suppose -2*u**2/3 + 50*u/3 - 16 = 0. Calculate u.
1, 24
What is n in -4*n**5/7 - 6800*n**4/7 - 2883192*n**3/7 + 5786800*n**2/7 - 2896804*n/7 = 0?
-851, 0, 1
Suppose -5*b**3 - 10*b**2 + 105*b - 90 = 0. Calculate b.
-6, 1, 3
Solve 2*g**2/7 + 698*g/7 + 696/7 = 0 for g.
-348, -1
Factor -t**4 - 7*t**3 - 18*t**2 - 20*t - 8.
-(t + 1)*(t + 2)**3
Factor -2*h**3 - 238*h**2 - 696*h.
-2*h*(h + 3)*(h + 116)
What is t in 2*t**2 - 1150*t - 1152 = 0?
-1, 576
Find v, given that 250*v**2 - 140*v + 98/5 = 0.
7/25
Factor -9*h**2/5 + 1626*h/5 + 543/5.
-3*(h - 181)*(3*h + 1)/5
Determine v so that -2*v**2/9 + 58*v - 1036/9 = 0.
2, 259
Determine a so that 4*a**3 + 788*a**2 + 42780*a + 380556 = 0.
-93, -11
Factor -625*v**3 - 205500*v**2 - 22522800*v - 822832960.
-5*(5*v + 548)**3
Solve -2*x**5/7 + 122*x**4/7 - 1912*x**3/7 + 1312*x**2/7 + 7680*x/7 - 7200/7 = 0 for x.
-2, 1, 2, 30
Determine z, given that -2*z**4/3 + 10*z**3 + 2*z**2/3 - 10*z = 0.
-1, 0, 1, 15
Factor 5*q**2 + 7245*q + 7240.
5*(q + 1)*(q + 1448)
Factor 28*q**3 - 820*q**2 - 1504*q + 496.
4*(q - 31)*(q + 2)*(7*q - 2)
Factor -d**2/4 - 7*d/4 + 9/2.
-(d - 2)*(d + 9)/4
Let -192*z**4 - 320*z**3 - 68*z**2 + 56*z - 4 = 0. What is z?
-1, 1/12, 1/4
Suppose -p**4/9 - 68*p**3/9 + 70*p**2/9 + 68*p/9 - 23/3 = 0. Calculate p.
-69, -1, 1
Factor -5*z**5 - 90*z**4 + 300*z**3 - 310*z**2 + 105*z.
-5*z*(z - 1)**3*(z + 21)
Factor -3*u**3 + 33*u**2 + 168*u + 180.
-3*(u - 15)*(u + 2)**2
What is y in -2*y**3 - 120*y**2 = 0?
-60, 0
Solve -1587*i**5/2 + 2898*i**4 - 2094*i**3 - 1008*i**2 - 96*i = 0.
-4/23, 0, 2
Factor -g**2/4 + 8*g - 48.
-(g - 24)*(g - 8)/4
What is d in 5*d**4 - 305*d**3 - 1950*d**2 - 3980*d - 2680 = 0?
-2, 67
Factor -2*t**3/13 - 14*t**2/13 + 56*t/13 - 40/13.
-2*(t - 2)*(t - 1)*(t + 10)/13
Find c such that -8*c**4 - 198*c**3 - 206*c**2 + 14400*c - 3584 = 0.
-16, 1/4, 7
Factor -2*p**3/3 + 4*p**2/3 + 26*p/3 + 20/3.
-2*(p - 5)*(p + 1)*(p + 2)/3
Solve -g**4/10 + 3*g**2/5 + 4*g/5 + 3/10 = 0 for g.
-1, 3
What is p in -2*p**4/5 - 7348*p**3/5 - 6749138*p**2/5 = 0?
-1837, 0
Solve 3*y**2/4 - 93*y/2 + 2883/4 = 0.
31
Factor -35*g**4/6 + 565*g**3/3 - 1980*g**2 + 18755*g/3 + 33275/6.
-5*(g - 11)**3*(7*g + 5)/6
Let d**2/2 + 28*d + 392 = 0. What is d?
-28
Find l such that -2*l**2/9 - 182*l/9 = 0.
-91, 0
Let 3*w**4 - 24*w**3 + 36*w**2 = 0. What is w?
0, 2, 6
Suppose 2*l**2/5 - 306*l/5 + 464 = 0. Calculate l.
8, 145
Determine a, given that 2*a**3/7 - 160*a**2/21 + 56*a/3 - 64/7 = 0.
2/3, 2, 24
Factor 7*c**3/3 + 46*c**2/3 + 59*c/3 + 20/3.
(c + 1)*(c + 5)*(7*c + 4)/3
Factor -3*y**3 + 75*y**2 + 159*y + 81.
-3*(y - 27)*(y + 1)**2
Factor -4*b**2/3 + 1120*b/3 - 372.
-4*(b - 279)*(b - 1)/3
Determine l, given that 5*l**3 - 1215*l - 7290 = 0.
-9, 18
Factor -2*m**2 - 412*m + 3870.
-2*(m - 9)*(m + 215)
Factor -4*z**3 + 40080*z**2 - 133867200*z + 149038816000.
-4*(z - 3340)**3
Solve -x**4/5 + 8*x**3/5 + x**2/5 - 8*x/5 = 0.
-1, 0, 1, 8
Determine q so that -15*q**5 - 1270*q**4 - 7995*q**3 - 15360*q**2 - 11740*q - 3120 = 0.
-78, -4, -1, -2/3
Find u such that 2*u**4/5 - 46*u**3/5 + 42*u**2/5 + 46*u/5 - 44/5 = 0.
-1, 1, 22
Determine o so that 2*o**5 - 14*o**4 + 24*o**3 = 0.
0, 3, 4
Factor 4*q**3 - 12*q**2 - 100*q - 84.
4*(q - 7)*(q + 1)*(q + 3)
Find k such that 2*k**4/11 + 72*k**3/11 + 196*k**2/11 - 72*k/11 - 18 = 0.
-33, -3, -1, 1
Factor 9*w**3/2 - 15*w**2/2 - 7*w.
w*(3*w - 7)*(3*w + 2)/2
Solve 5*s**4 - 140*s**3 + 465*s**2 + 7310*s + 11560 = 0.
-4, -2, 17
What is w in -21*w**5 + 162*w**4 + 405*w**3 - 4182*w**2 + 2556*w + 1080 = 0?
-5, -2/7, 1, 6
Solve p**4 - 15*p**3 - p**2 + 15*p = 0.
-1, 0, 1, 15
Suppose -5*x**4 - 268*x**3 + 1883*x**2 - 2210*x + 600 = 0. What is x?
-60, 2/5, 1, 5
Let 2*y**2 - 11636*y = 0. What is y?
0, 5818
Let 692*u**2 + 16*u = 0. Calculate u.
-4/173, 0
Let 2*j**5/15 + 22*j**4/5 + 62*j**3/15 - 22*j**2/5 - 64*j/15 = 0. Calculate j.
-32, -1, 0, 1
Solve -3*o**2 + 54*o - 243 = 0.
9
Solve i**5 - 6*i**4 + 10*i**3 - 11*i + 6 = 0.
-1, 1, 2, 3
Solve u**3/4 + 53*u**2/4 + 38*u + 25 = 0 for u.
-50, -2, -1
Factor 25*c**3 + 130*c**2 + 220*c + 120.
5*(c + 2)**2*(5*c + 6)
Factor 2*x**2/5 - 136*x/5 + 2312/5.
2*(x - 34)**2/5
Suppose -k**2/8 + 61*k/8 + 481/4 = 0. Calculate k.
-13, 74
Find u such that 3*u**3 + 75*u**2 + 456*u + 816 = 0.
-17, -4
Suppose -3*x**5/4 - 31*x**4/4 + 7*x**3/4 + 151*x**2/4 - 46*x + 15 = 0. Calculate x.
-10, -3, 2/3, 1
Solve 2*f**3 - 8*f**2 - 10*f = 0.
-1, 0, 5
Factor -21*p**2 