5 - 53*m**4 - 152*m**3 - 100*m**2.
-m**2*(m + 1)*(m + 2)*(m + 50)
Factor -2*h**3/9 + 14*h**2/9 + 16*h/9.
-2*h*(h - 8)*(h + 1)/9
Factor -f**3 + 69*f**2 + 376*f - 444.
-(f - 74)*(f - 1)*(f + 6)
Factor -u**4/3 - 10*u**3 - 109*u**2/3 - 44*u - 52/3.
-(u + 1)**2*(u + 2)*(u + 26)/3
Solve 3*k**4 - 6*k**3 + 3*k**2 = 0 for k.
0, 1
Let -v**5 - 9*v**4 - 3*v**3 + 37*v**2 - 24*v = 0. What is v?
-8, -3, 0, 1
Determine n, given that -n**2 + 231*n - 230 = 0.
1, 230
Factor -a**2/3 + 1928*a/3 + 643.
-(a - 1929)*(a + 1)/3
Solve -2*p**3 + 344*p**2 - 3912*p + 11520 = 0 for p.
6, 160
Solve -16*r**4 + 100*r**3 + 88*r**2 - 28*r = 0 for r.
-1, 0, 1/4, 7
Determine o so that -4624*o**3/7 - 18632*o**2/7 - 545*o/7 - 4/7 = 0.
-4, -1/68
Find k, given that -4*k**4/9 + 284*k**3/9 + 1280*k**2/3 + 11824*k/9 + 10624/9 = 0.
-8, -2, 83
Factor p**3/4 + p**2/4 - p/2.
p*(p - 1)*(p + 2)/4
Factor -2*u**4/13 + 138*u**3/13 + 282*u**2/13 + 142*u/13.
-2*u*(u - 71)*(u + 1)**2/13
Solve -162*k**5 - 36*k**4 + 160*k**3 + 36*k**2 + 2*k = 0.
-1, -1/9, 0, 1
Solve -2*q**4/3 + 28*q**3/3 - 22*q**2/3 - 52*q/3 = 0.
-1, 0, 2, 13
Solve 50*u**3/11 + 124060*u**2/11 - 99272*u/11 + 19856/11 = 0.
-2482, 2/5
Suppose -r**3/3 + 29*r**2/3 - 224*r/3 + 196/3 = 0. Calculate r.
1, 14
Solve -d**3/5 - 13*d**2/5 - 8*d - 36/5 = 0 for d.
-9, -2
Factor -d**4/4 - 26*d**3 - 503*d**2/4 - 199*d - 99.
-(d + 1)*(d + 2)**2*(d + 99)/4
Factor -v**3 + 38*v**2 - 240*v.
-v*(v - 30)*(v - 8)
Suppose 3*u**2 - 81*u = 0. What is u?
0, 27
Let 2*c**2/5 + 92*c/5 + 18 = 0. What is c?
-45, -1
Factor 2*k**5/5 - 4*k**3/5 + 2*k/5.
2*k*(k - 1)**2*(k + 1)**2/5
Factor 1225*p**5 - 8715*p**4 + 984*p**3 - 28*p**2.
p**2*(p - 7)*(35*p - 2)**2
Factor -4*b**3 - 80*b**2.
-4*b**2*(b + 20)
Solve -2*r**3/3 - 2*r**2 - 4*r/3 = 0.
-2, -1, 0
Factor -2*v**3/7 - 10*v**2/7 + 76*v/7 + 48.
-2*(v - 6)*(v + 4)*(v + 7)/7
Factor 2*n**3/11 + 4*n**2.
2*n**2*(n + 22)/11
Suppose c**4/4 + 39*c**3/4 + 397*c**2/4 + 285*c/4 - 361/2 = 0. What is c?
-19, -2, 1
Factor 2*r**3/13 + 72*r**2/13 - 152*r/13.
2*r*(r - 2)*(r + 38)/13
Let 2*b**2/15 + 436*b/15 + 86 = 0. Calculate b.
-215, -3
Factor 2*v**4 - 19*v**3 - 71*v**2 - 50*v.
v*(v + 1)*(v + 2)*(2*v - 25)
Find a, given that 2*a**2 + 10112*a + 12781568 = 0.
-2528
Find j such that 2*j**4/5 - 1898*j**3/5 + 451248*j**2/5 - 449352*j/5 = 0.
0, 1, 474
Factor h**4/3 - 31*h**3 + 359*h**2/3 - 89*h.
h*(h - 89)*(h - 3)*(h - 1)/3
Suppose 17*d**2/9 - 266*d/9 - 32/3 = 0. What is d?
-6/17, 16
Factor m**2/6 - 3*m/2 + 3.
(m - 6)*(m - 3)/6
Factor -5*n**4 + 15*n**3 - 15*n**2 + 5*n.
-5*n*(n - 1)**3
Factor 2*h**3 + 218*h**2 + 848*h + 840.
2*(h + 2)**2*(h + 105)
Let -x**2/4 + 5*x = 0. Calculate x.
0, 20
Factor -x**3 - x**2 + 6*x.
-x*(x - 2)*(x + 3)
Determine j, given that -8*j**5 + 18*j**4 + 956*j**3 + 4624*j**2 + 5952*j - 1792 = 0.
-4, 1/4, 14
Solve y**4 - 105*y**3 + 3564*y**2 - 34992*y - 139968 = 0.
-3, 36
Factor 2*d**4/3 + 268*d**3/3 + 9242*d**2/3 + 5896*d + 2904.
2*(d + 1)**2*(d + 66)**2/3
Factor -2*s**4/7 + 68*s**3/7 - 642*s**2/7 + 1088*s/7 - 512/7.
-2*(s - 16)**2*(s - 1)**2/7
Find m, given that 4*m**3 + 12*m**2 - 36*m + 20 = 0.
-5, 1
Solve -s**4/5 - s**3/5 + 4*s**2/5 + 4*s/5 = 0 for s.
-2, -1, 0, 2
Solve -4*c**3/3 + 8*c**2/3 + 140*c/3 = 0.
-5, 0, 7
Determine x so that x**3/8 + 117*x**2/8 + 3591*x/8 + 9747/8 = 0.
-57, -3
Factor z**5 - 110*z**4 + 3024*z**3 + 110*z**2 - 3025*z.
z*(z - 55)**2*(z - 1)*(z + 1)
Determine b, given that -4*b**5 - 16*b**4 = 0.
-4, 0
Factor -z**4/4 + 11*z**3/2 - 23*z**2 + 61*z/2 - 51/4.
-(z - 17)*(z - 3)*(z - 1)**2/4
Factor -g**2 + 38*g - 136.
-(g - 34)*(g - 4)
Suppose 12*n**5 + 20*n**4 - 188*n**3 - 324*n**2 - 64*n + 64 = 0. What is n?
-4, -1, 1/3, 4
Factor 2*y**4/5 - 16*y**3/5 + 4*y**2/5 + 32*y - 30.
2*(y - 5)**2*(y - 1)*(y + 3)/5
Factor -2*c**5 + 14*c**4 - 30*c**3 + 26*c**2 - 8*c.
-2*c*(c - 4)*(c - 1)**3
Factor g**2/6 + 35*g/2.
g*(g + 105)/6
Suppose 5*o**2 - 50*o + 105 = 0. Calculate o.
3, 7
Determine m, given that -2*m**5 + 396*m**4 - 18360*m**3 - 124848*m**2 = 0.
-6, 0, 102
What is i in 5*i**3 - 65*i**2 + 110*i = 0?
0, 2, 11
Solve -n**4 - 28*n**3 + 813*n**2 - 3860*n - 4700 = 0.
-47, -1, 10
Find b, given that -3*b**3 - 54*b**2 - 51*b = 0.
-17, -1, 0
Factor 2*h**5/19 + 16*h**4/19 + 26*h**3/19 + 12*h**2/19.
2*h**2*(h + 1)**2*(h + 6)/19
Factor a**4/6 - a**3 - 19*a**2/6 + 4*a.
a*(a - 8)*(a - 1)*(a + 3)/6
Factor -q**3/4 + 3*q**2/2 - 2*q.
-q*(q - 4)*(q - 2)/4
Suppose -3*n**3/2 + 123*n**2/2 + 3*n/2 - 123/2 = 0. Calculate n.
-1, 1, 41
Factor 55112*r**5 - 495344*r**4 + 1482050*r**3 - 1470114*r**2 - 17874*r - 54.
2*(r - 3)**3*(166*r + 1)**2
Determine o so that -2*o**4 + 30*o**3 + 36*o**2 - 64*o = 0.
-2, 0, 1, 16
Suppose -2*z**2/5 + 616*z/5 + 618/5 = 0. What is z?
-1, 309
Let 4*g**4 + 280*g**3 + 4704*g**2 - 43904*g - 1229312 = 0. What is g?
-28, 14
Factor 2*p**3/17 - 18*p**2/17 + 30*p/17 - 14/17.
2*(p - 7)*(p - 1)**2/17
Find l such that -2*l**5/11 - 14*l**4/11 - 30*l**3/11 - 26*l**2/11 - 8*l/11 = 0.
-4, -1, 0
Factor -25168*u**3 + 5016*u**2 - 189*u + 2.
-(13*u - 2)*(44*u - 1)**2
Solve -20*v**5 + 58*v**4 - 304*v**3/5 + 28*v**2 - 28*v/5 + 2/5 = 0.
1/5, 1/2, 1
Factor 4*q**2 + 316*q + 5712.
4*(q + 28)*(q + 51)
Determine d so that -5*d**5 + 55*d**4 - 180*d**3 + 80*d**2 + 320*d = 0.
-1, 0, 4
Let -3*h**3 - 639*h**2 - 45369*h - 1073733 = 0. What is h?
-71
Factor -j**3/12 - 14*j**2/3 - 335*j/12 + 98/3.
-(j - 1)*(j + 8)*(j + 49)/12
Suppose -8*u**4 - 20*u**3 - 16*u**2 - 4*u = 0. Calculate u.
-1, -1/2, 0
Determine c so that 3*c**4 + 108*c**3 + 1386*c**2 + 7644*c + 15435 = 0.
-15, -7
Find x such that 3*x**4/5 - 9*x**3/5 - 9*x**2/5 + 33*x/5 - 18/5 = 0.
-2, 1, 3
Find g, given that 3*g**2/4 + 117*g/2 - 237/4 = 0.
-79, 1
Factor -3*j**3/7 - 3*j**2 + 522*j/7 - 1296/7.
-3*(j - 8)*(j - 3)*(j + 18)/7
Suppose -2*b**3/9 + 2*b**2/9 + 20*b/9 + 16/9 = 0. Calculate b.
-2, -1, 4
Factor -4*v**2 - 9264*v - 5363856.
-4*(v + 1158)**2
Factor -4*f**2 + 232*f - 3364.
-4*(f - 29)**2
Determine i, given that -i**2/4 - 223*i/4 + 225/2 = 0.
-225, 2
Factor k**5 - 16*k**4 - 3*k**3 + 50*k**2 - 32*k.
k*(k - 16)*(k - 1)**2*(k + 2)
Suppose 3*d**4 - 39*d**3 + 96*d**2 - 60*d = 0. Calculate d.
0, 1, 2, 10
Factor 275*u**3 - 2810*u**2 - 520*u.
5*u*(5*u - 52)*(11*u + 2)
What is z in -3*z**4/2 + 48*z**3 + 795*z**2/2 + 492*z - 936 = 0?
-4, 1, 39
Factor 3*a**2/7 - 564*a/7 + 1116/7.
3*(a - 186)*(a - 2)/7
Factor 2*y**4/7 + 22*y**3/7 + 66*y**2/7 + 10*y/7 - 100/7.
2*(y - 1)*(y + 2)*(y + 5)**2/7
Let 4*t**4 - 220*t**3 - 700*t**2 + 220*t + 696 = 0. Calculate t.
-3, -1, 1, 58
What is l in -l**3 + 142*l**2 - 556*l + 552 = 0?
2, 138
Suppose -h**3/2 - 27*h**2/2 - 84*h - 152 = 0. What is h?
-19, -4
Factor 2*b**2/3 + 34*b/3.
2*b*(b + 17)/3
Find u, given that -2*u**4/13 + 14*u**3/13 - 36*u**2/13 + 40*u/13 - 16/13 = 0.
1, 2
Factor 4*r**4 - 32*r**3 - 12*r**2 + 520*r - 800.
4*(r - 5)**2*(r - 2)*(r + 4)
Determine x, given that -2*x**3 - 108*x**2 + 230*x + 336 = 0.
-56, -1, 3
Factor 6*g**4/11 - 13248*g**3/11 + 10969344*g**2/11 - 4036718592*g/11 + 557067165696/11.
6*(g - 552)**4/11
Factor 3*t**3/8 - 65*t**2/8 - 247*t/8 - 75/8.
(t - 25)*(t + 3)*(3*t + 1)/8
Factor 4*g**5 + 36*g**4 + 84*g**3 + 76*g**2 + 24*g.
4*g*(g + 1)**3*(g + 6)
What is h in 5*h**3 - 1970*h**2 = 0?
0, 394
Factor 4*j**2 - 1128*j + 2240.
4*(j - 280)*(j - 2)
Factor -3*c**3/8 + 3*c**2/4 + 21*c/8 + 3/2.
-3*(c - 4)*(c + 1)**2/8
Let -3*v**5/2 - 12*v**4 - 24*v**3 = 0. What is v?
-4, 0
What is s in 71*s**3/4 + 37*s**2/2 + 3*s/4 = 0?
-1, -3/71, 0
Factor -4*c**5/9 + 20*c**4/9 + 40*c**3/3 + 200*c**2/9 + 140*c/9 + 4.
-4*(c - 9)*(c + 1)**4/9
Determine c so that -33640*c**3 + 7888*c**2 - 242*c + 2 = 0.
1/58, 1/5
Determine n, given that -n**3/2 - 22*n**2 + 95*n/2 + 69 = 0.
-46, -1, 3
Determine o so that -9*o**4/5 + 57*o**3 + 411*o**2/5 - 489*o/5 - 198/5 = 0.
-2, -1/3, 1, 33
Factor -2*j**3/3 + 226*j**2/3 - 6710*j/3 + 6050.
-2*(j - 55)**2*(j - 3)/3
Find g, given that -4*g**3 + 156*g**2 + 328*g = 0.
-2, 0, 41
Solve -6*c**5 - 449*c**4 + 531*c**3 - 76*c**2 = 0.
-76, 0, 1/6, 1
Factor 3*d**2 + 4500*d + 1687500.
3*(d + 750)**2
Solve -3*q**4 + 6*q**3 + 27*q**2 - 6*q - 24 = 0 for q.
-2, -1, 1, 4
Find n such that n**3 - 166*n**2 - 169*n + 334 = 0.
-2, 1, 167
Find z such that -z**3 - 1902*z**2 - 1205868*z - 254840104 = 0.
-634
Factor -3*s**4/2 + 68*s**3 - 1035*s**2 + 5400*