)*(u + 1)/6
Factor 5*k**2 - 550*k - 10080.
5*(k - 126)*(k + 16)
Factor 6*c**2/11 - 234*c/11 - 240/11.
6*(c - 40)*(c + 1)/11
Solve 2*s**2/5 - 6*s/5 = 0 for s.
0, 3
Factor i**3 + 8*i**2 + i - 42.
(i - 2)*(i + 3)*(i + 7)
Find u such that -3*u**2 + 30*u - 27 = 0.
1, 9
Find w such that 3*w**3 - 903*w**2 + 67497*w + 68403 = 0.
-1, 151
Determine p, given that 2*p**5/11 - 16*p**4/11 + 4*p**3 - 56*p**2/11 + 34*p/11 - 8/11 = 0.
1, 4
Factor 55*r**4 + 1475*r**3 - 270*r**2.
5*r**2*(r + 27)*(11*r - 2)
Find x, given that -6*x**5/11 - 14*x**4/11 + 20*x**3/11 + 20*x**2/11 - 14*x/11 - 6/11 = 0.
-3, -1, -1/3, 1
Solve -2*y**3/5 + 24*y**2 - 664*y/5 + 864/5 = 0 for y.
2, 4, 54
What is l in -2*l**2/5 + 476*l/5 - 28322/5 = 0?
119
Factor f**3 + 55*f**2 - 113*f + 57.
(f - 1)**2*(f + 57)
Factor 5*k**3 - 200*k**2.
5*k**2*(k - 40)
Factor -4*w**2/3 + 248*w/3 - 244/3.
-4*(w - 61)*(w - 1)/3
Factor -5*o**3/4 - 815*o**2/4 - 28275*o/4 + 416295/4.
-5*(o - 11)*(o + 87)**2/4
Find r, given that 14*r**3/9 - 16*r**2 + 166*r/9 - 4 = 0.
2/7, 1, 9
Factor 12*g**2 - 284*g + 184.
4*(g - 23)*(3*g - 2)
Factor 60*b**2 + 172*b - 24.
4*(b + 3)*(15*b - 2)
Suppose 3*f**5 - 6*f**4 - 432*f**3 - 2094*f**2 - 2931*f - 1260 = 0. Calculate f.
-7, -4, -1, 15
Factor -38*j**2/5 - 22*j + 12/5.
-2*(j + 3)*(19*j - 2)/5
Factor -2*k**5/7 - 80*k**4/7 + 340*k**3/7 - 520*k**2/7 + 50*k - 88/7.
-2*(k - 1)**4*(k + 44)/7
Find q such that -15*q**3 + 35*q**2 + 180*q + 100 = 0.
-2, -2/3, 5
Factor u**3 + 31*u**2 - 66*u.
u*(u - 2)*(u + 33)
Let 3*n**2 + 738*n = 0. What is n?
-246, 0
Find x, given that -2*x**5 + 8*x**4 + 8*x**3 - 44*x**2 - 6*x + 36 = 0.
-2, -1, 1, 3
Determine d so that 5*d**4 + 315*d**3 + 5010*d**2 + 25700*d + 21000 = 0.
-42, -10, -1
Solve 2*v**2/5 - 26*v/5 - 28/5 = 0 for v.
-1, 14
Solve 5*d**2/2 - 1725*d + 595125/2 = 0 for d.
345
Factor -b**2/2 - 11*b/2 - 9.
-(b + 2)*(b + 9)/2
Factor 2*m**2/5 - 6*m/5 - 8/5.
2*(m - 4)*(m + 1)/5
Factor 4*r**2/3 - 256*r/3 + 4096/3.
4*(r - 32)**2/3
Factor -5*v**3 - 45*v**2 - 55*v + 105.
-5*(v - 1)*(v + 3)*(v + 7)
Determine r, given that -16*r**3 + 420*r**2 - 872*r + 192 = 0.
1/4, 2, 24
Factor 2*h**4/9 - 16*h**3/3 - 104*h**2/9.
2*h**2*(h - 26)*(h + 2)/9
Suppose -3*c**3 + 84*c**2 - 759*c + 2178 = 0. What is c?
6, 11
Factor 4*b**3 + 76*b**2 + 460*b + 900.
4*(b + 5)**2*(b + 9)
Determine g so that 4*g**2 - 20*g - 1344 = 0.
-16, 21
Let 2*i**2/11 + 2*i - 84/11 = 0. What is i?
-14, 3
Factor 7*p**3 - 1384*p**2 + 983*p + 394.
(p - 197)*(p - 1)*(7*p + 2)
Find r such that 5*r**4 - 360*r**3 + 1035*r**2 = 0.
0, 3, 69
Suppose 33*p**4 - 60*p**3 - 45*p**2 + 60*p + 12 = 0. Calculate p.
-1, -2/11, 1, 2
Determine s so that -5*s**3 + 13245*s**2 - 11695335*s + 3442326935 = 0.
883
Let 4*n**4 + 1936*n**3 + 234256*n**2 = 0. Calculate n.
-242, 0
Determine c, given that -3*c**4 + 93*c**2 + 90*c = 0.
-5, -1, 0, 6
Suppose 21*l**4 - 162*l**3 + 372*l**2 - 216*l - 96 = 0. What is l?
-2/7, 2, 4
Factor -2*p**3/5 - 882*p**2/5 - 129654*p/5 - 6353046/5.
-2*(p + 147)**3/5
Factor -44*t**2/17 - 46*t/17 - 2/17.
-2*(t + 1)*(22*t + 1)/17
What is i in 3*i**3 - 60*i**2 - 63*i = 0?
-1, 0, 21
Determine h, given that -h**3 + 68108*h**2/7 - 23665445*h - 6762350 = 0.
-2/7, 4865
Factor 2*y**2 + 56*y.
2*y*(y + 28)
Let -5*g**2 + 6370*g - 2028845 = 0. What is g?
637
Factor -3*q**3/4 + 3099*q**2/4.
-3*q**2*(q - 1033)/4
Let -15*j**4/4 + 68*j**3 - 369*j**2 + 528*j - 64 = 0. What is j?
2/15, 2, 8
Solve 2*v**4/3 + 2*v**3 - 2*v**2 - 22*v/3 - 4 = 0 for v.
-3, -1, 2
Factor -2*i**4/13 - 40*i**3/13 + 288*i**2/13 - 608*i/13 + 32.
-2*(i - 2)**3*(i + 26)/13
Let 2*f**2/9 + 22*f/9 - 28/3 = 0. What is f?
-14, 3
Factor 3*c**2 - 21*c.
3*c*(c - 7)
Determine k, given that 2*k**2/3 - 52*k/3 - 112/3 = 0.
-2, 28
What is m in -3*m**2 + 6*m - 3 = 0?
1
Factor p**5/10 + 5*p**4 + 793*p**3/10 + 420*p**2 + 3528*p/5.
p*(p + 4)**2*(p + 21)**2/10
Factor u**4/5 - 6*u**3/5 + 4*u**2/5 + 6*u/5 - 1.
(u - 5)*(u - 1)**2*(u + 1)/5
Suppose -2*h**4 + 6808*h**3/3 - 6042*h**2 + 5284*h - 4528/3 = 0. Calculate h.
2/3, 1, 1132
Suppose 2*i**3 - 48*i**2 = 0. What is i?
0, 24
Factor p**4/2 + 67*p**3/2 - 178*p**2 + 144*p.
p*(p - 4)*(p - 1)*(p + 72)/2
Determine x, given that -2*x**4 + 12*x**3 + 50*x**2 + 36*x = 0.
-2, -1, 0, 9
Find l such that -l**5/8 + 5*l**4/4 - 27*l**3/8 + 9*l**2/4 = 0.
0, 1, 3, 6
Factor -2*v**5/9 - 34*v**4/9 + 28*v**3 - 536*v**2/9 + 368*v/9.
-2*v*(v - 2)**3*(v + 23)/9
Determine k, given that 2*k**4 + 8*k**3 - 22*k**2 + 12*k = 0.
-6, 0, 1
Factor 3*p**2 - 2028*p + 342732.
3*(p - 338)**2
Factor -u**2/2 + 285*u/2 + 143.
-(u - 286)*(u + 1)/2
Determine m, given that -22*m**2/5 + 10*m - 28/5 = 0.
1, 14/11
Find m such that 15*m**5 + 35*m**4 + 10*m**3 - 30*m**2 - 25*m - 5 = 0.
-1, -1/3, 1
Factor -2*x**3/9 + 104*x**2/9.
-2*x**2*(x - 52)/9
Suppose 39*q**3 + 354*q**2 + 27*q = 0. What is q?
-9, -1/13, 0
Find m, given that -4*m**4 + 1528*m**3 + 1532*m**2 = 0.
-1, 0, 383
Factor 4*l**5 + 140*l**4 + 268*l**3 + 132*l**2.
4*l**2*(l + 1)**2*(l + 33)
Factor 5*q**3 + 15*q**2 - 180*q + 160.
5*(q - 4)*(q - 1)*(q + 8)
Determine h so that -3*h**2/7 + 360*h/7 + 3072/7 = 0.
-8, 128
Factor -4*k**3 - 580*k**2 - 20128*k + 65712.
-4*(k - 3)*(k + 74)**2
What is h in 2*h**4/13 - 330*h**3/13 + 14714*h**2/13 - 90534*h/13 + 124820/13 = 0?
2, 5, 79
Factor 4*r**5 - 48*r**4 + 88*r**3 + 336*r**2 + 196*r.
4*r*(r - 7)**2*(r + 1)**2
Determine j, given that -2*j**3/7 + 30*j**2/7 + 1026*j/7 - 16606/7 = 0.
-23, 19
Factor -4*i**3 + 240*i**2 + 36*i - 2160.
-4*(i - 60)*(i - 3)*(i + 3)
Suppose -b**5 + 5*b**4 - 7*b**3 - b**2 + 8*b - 4 = 0. Calculate b.
-1, 1, 2
Factor -5*w**4/3 - w**3 + 2*w**2/3.
-w**2*(w + 1)*(5*w - 2)/3
What is p in -18*p**2 - 32*p + 8 = 0?
-2, 2/9
Find s such that -s**4 - 85*s**3 - 1929*s**2 - 5207*s - 3362 = 0.
-41, -2, -1
Let 32*v**5/3 - 284*v**4 - 4132*v**3/3 - 2108*v**2 - 3820*v/3 - 248 = 0. Calculate v.
-2, -1, -3/8, 31
Factor -3*u**2/4 - 3*u - 3.
-3*(u + 2)**2/4
Suppose h**5/3 - 6*h**4 - 107*h**3/3 - 60*h**2 - 92*h/3 = 0. Calculate h.
-2, -1, 0, 23
Factor 2*z**2/7 - 38*z/7 + 68/7.
2*(z - 17)*(z - 2)/7
Factor -15*j**2/8 + 9*j/2 - 21/8.
-3*(j - 1)*(5*j - 7)/8
Let -2*t**2/13 - 68*t/13 - 240/13 = 0. Calculate t.
-30, -4
Factor -2*h**3/3 + 12*h**2 + 8*h/3 - 48.
-2*(h - 18)*(h - 2)*(h + 2)/3
Factor -2*m**2/11 + 2*m/11 + 312/11.
-2*(m - 13)*(m + 12)/11
Let i**4 + 13*i**3 + 10*i**2 - 24*i = 0. What is i?
-12, -2, 0, 1
Factor -3*b**3/2 + 117*b**2/8 - 81*b/4 - 6.
-3*(b - 8)*(b - 2)*(4*b + 1)/8
Suppose a**2/5 - 91*a = 0. Calculate a.
0, 455
Factor -v**2 + 40*v + 41.
-(v - 41)*(v + 1)
Factor 2*x**4/7 - 138*x**3/7 - 20*x**2.
2*x**2*(x - 70)*(x + 1)/7
Let -4*y**2 - 132*y - 360 = 0. Calculate y.
-30, -3
Find s such that -9*s**4/8 + 3*s**3 - 9*s**2/8 - 3*s/4 = 0.
-1/3, 0, 1, 2
Factor 2*d**5/7 + 8*d**4/7 - 36*d**3/7 + 40*d**2/7 - 2*d.
2*d*(d - 1)**3*(d + 7)/7
What is w in -3*w**5 + 219*w**4 - 4101*w**3 + 3669*w**2 + 4104*w - 3888 = 0?
-1, 1, 36
Find s such that 54*s**4 + 456*s**3 - 874*s**2/3 - 584*s/3 - 24 = 0.
-9, -2/9, 1
Factor 2*u**2 - 24*u - 56.
2*(u - 14)*(u + 2)
Factor 5*v**4/3 + 25*v**3/3 - 55*v**2/3 - 55*v - 30.
5*(v - 3)*(v + 1)**2*(v + 6)/3
Factor 2*b**3 - 76*b**2 + 374*b + 1860.
2*(b - 31)*(b - 10)*(b + 3)
Factor 2*z**5 + 5*z**4 + 3*z**3 - z**2 - z.
z*(z + 1)**3*(2*z - 1)
Solve -u**5/2 - 157*u**4 - 1861*u**3/2 - 2008*u**2 - 1850*u - 616 = 0 for u.
-308, -2, -1
Solve n**4 - 90*n**3 + 513*n**2 - 760*n + 336 = 0 for n.
1, 4, 84
Factor -i**5/6 - i**4/6 + 5*i**3/6 - i**2/2.
-i**2*(i - 1)**2*(i + 3)/6
Find x such that -x**4/8 + 37*x**3/2 - 2663*x**2/4 - 2775*x/2 - 5625/8 = 0.
-1, 75
Find u such that u**2 + 73*u + 72 = 0.
-72, -1
Solve -4*o**5 + 75*o**4 + 271*o**3 + 323*o**2 + 153*o + 22 = 0.
-1, -1/4, 22
Factor -179*f**2 + 715*f/4 + 1/4.
-(f - 1)*(716*f + 1)/4
What is u in 2*u**2 - 44*u + 192 = 0?
6, 16
Find r, given that -9*r**5/8 - 168*r**4 - 4407*r**3/8 - 987*r**2/2 - 219*r/2 = 0.
-146, -2, -1, -1/3, 0
What is a in -3*a**2/7 + 1656*a/7 + 3324/7 = 0?
-2, 554
Solve 27*u**5 + 366*u**4 + 723*u**3 - 3420*u**2 + 3072*u - 768 = 0.
-8, 4/9, 1
Suppose -2*p**3/3 + 52*p**2 - 1352*p + 35152/3 = 0. What is p?
26
Factor -3*r**4/2 + 7146*r**3 - 12766329*r**2 + 10136465226*r - 6036265042083/2.
-3*(r - 1191)**4/2
Factor -p**4/6 + 628*p**3/3 - 197819*p**2/3 + 131252*p - 131043/2.
-(p - 627)**2*(p - 1)**2/6
L