-18, 1
Factor k**2/3 + 24*k + 140/3.
(k + 2)*(k + 70)/3
Determine z, given that -3*z**4 + 27*z**3 - 81*z**2 + 81*z = 0.
0, 3
Let m**3 + 38*m**2 + 72*m = 0. What is m?
-36, -2, 0
Factor 585*u**2 + 5*u - 30.
5*(9*u - 2)*(13*u + 3)
Determine n so that 6*n**5 - 58*n**4 - 90*n**3 + 18*n**2 + 44*n = 0.
-1, 0, 2/3, 11
Find m, given that m**3/6 - 17*m**2 - 69*m/2 - 52/3 = 0.
-1, 104
Factor 48*q**2/5 - 46*q/5 - 2/5.
2*(q - 1)*(24*q + 1)/5
Factor 2*v**3/5 + 42*v**2/5 + 48*v + 40.
2*(v + 1)*(v + 10)**2/5
Determine q so that q**4 + 2195*q**3 + 2193*q**2 - 2195*q - 2194 = 0.
-2194, -1, 1
Factor l**5 - 4*l**4 - 5*l**3.
l**3*(l - 5)*(l + 1)
Let 21*f**5 + 27*f**4 - 168*f**3 - 216*f**2 + 336*f + 432 = 0. What is f?
-2, -9/7, 2
Factor -2*d**4 - 82*d**3 - 306*d**2 - 374*d - 148.
-2*(d + 1)**2*(d + 2)*(d + 37)
Find i such that 5*i**2/3 - 200*i/3 + 560 = 0.
12, 28
Let 2*z**3/9 - 456*z**2 - 4106*z/9 = 0. Calculate z.
-1, 0, 2053
Factor -2*w**2 + 28*w + 550.
-2*(w - 25)*(w + 11)
Solve 121*h**4/4 - 209*h**3 + 108*h**2 + 324*h + 108 = 0.
-6/11, 2, 6
Find y, given that -70*y**3/11 + 102*y**2/11 + 72*y/11 + 8/11 = 0.
-2/5, -1/7, 2
Suppose -2*k**3/3 + k**2/3 + 61*k/3 + 10 = 0. What is k?
-5, -1/2, 6
Let j**4 - 13*j**3 + 29*j**2 + 13*j - 30 = 0. Calculate j.
-1, 1, 3, 10
Factor 2*l**4/21 + 2*l**3/3 + 4*l**2/7.
2*l**2*(l + 1)*(l + 6)/21
Find b such that -3*b**2 - 687*b = 0.
-229, 0
What is q in -2*q**5/7 + 20*q**4/7 - 62*q**3/7 + 52*q**2/7 + 8*q - 80/7 = 0?
-1, 2, 5
Suppose -2*t**4 + 224*t**3 + 228*t**2 - 224*t - 226 = 0. Calculate t.
-1, 1, 113
Factor -2*i**3/7 + 2*i**2/7 + 12*i/7.
-2*i*(i - 3)*(i + 2)/7
Factor u**2 + 1145*u.
u*(u + 1145)
Solve 4*f**5/21 - 38*f**4/21 + 4*f**3/7 + 8*f**2/3 - 16*f/21 - 6/7 = 0 for f.
-1, -1/2, 1, 9
Factor -3*v**3 + 54*v**2 - 141*v + 90.
-3*(v - 15)*(v - 2)*(v - 1)
Factor 2*n**5/15 + 68*n**4/15 + 722*n**3/15 + 120*n**2 - 2016*n/5 + 1152/5.
2*(n - 1)**2*(n + 12)**3/15
Factor -5*z**2 + 2060*z - 212180.
-5*(z - 206)**2
Factor q**2/3 + 28*q - 85/3.
(q - 1)*(q + 85)/3
Factor 3*n**3 - 4485*n**2 + 1682976*n - 5008644.
3*(n - 746)**2*(n - 3)
Factor -5*n**4 + 225*n**3 - 2170*n**2 - 8160*n - 5760.
-5*(n - 24)**2*(n + 1)*(n + 2)
Factor -s**2/2 + 41*s - 1681/2.
-(s - 41)**2/2
Determine z so that -3*z**5/4 + 3*z**4 - 9*z**3/2 + 3*z**2 - 3*z/4 = 0.
0, 1
Factor -2*w**3 + 84*w**2 - 792*w - 1936.
-2*(w - 22)**2*(w + 2)
Factor -135*x**4 + 685*x**3 - 50*x**2.
-5*x**2*(x - 5)*(27*x - 2)
What is o in 2*o**4/15 + 8*o**3 - 502*o**2/15 + 212*o/5 - 256/15 = 0?
-64, 1, 2
Factor -5*i**3 + 40*i**2 - 65*i + 30.
-5*(i - 6)*(i - 1)**2
Let -3*t**5/8 + 509*t**4/8 - 337*t**3/8 - 169*t**2/8 = 0. What is t?
-1/3, 0, 1, 169
Factor -g**3 + 63*g**2 - 891*g - 3267.
-(g - 33)**2*(g + 3)
Find q such that -2*q**4/5 + 676*q**3/5 - 57794*q**2/5 + 113568*q/5 - 56448/5 = 0.
1, 168
Find s such that -2*s**4/3 + 8*s**3/3 - 8*s**2/3 = 0.
0, 2
Determine k, given that 18*k**4/5 + 1496*k**3/5 - 2683*k**2/10 + 421*k/10 + 42/5 = 0.
-84, -1/9, 1/2
Solve 2*a**3/11 - 30*a**2/11 - 108*a/11 = 0 for a.
-3, 0, 18
Factor -38*z**3 - 53*z**2 - 13*z + 2.
-(z + 1)*(2*z + 1)*(19*z - 2)
Determine g, given that -2*g**3 + 32*g**2 + 2*g - 32 = 0.
-1, 1, 16
Factor -22*m**5 - 202*m**4/3 - 70*m**3 - 26*m**2 - 4*m/3.
-2*m*(m + 1)**3*(33*m + 2)/3
Factor y**2/4 - 49*y/4 + 255/2.
(y - 34)*(y - 15)/4
Suppose 2*f**4/3 - 58*f**3/3 - 398*f**2/3 - 758*f/3 - 140 = 0. What is f?
-3, -2, -1, 35
Solve -5*b**2/6 + 95*b/3 - 175/2 = 0.
3, 35
Factor 4*w**4/3 + 8*w**3/3 - 8*w/3 - 4/3.
4*(w - 1)*(w + 1)**3/3
Determine b, given that 3*b**2/8 + 45*b/4 - 1353/8 = 0.
-41, 11
Factor -2*g**3 + 42*g**2 + 98*g - 138.
-2*(g - 23)*(g - 1)*(g + 3)
Factor -q**2 + 82*q - 1681.
-(q - 41)**2
What is s in 28*s**4 + 300*s**3 + 640*s**2 + 240*s - 128 = 0?
-8, -2, -1, 2/7
Factor -12*w**4/5 - 972*w**3/5 - 21963*w**2/5 - 18468*w - 21660.
-3*(w + 38)**2*(2*w + 5)**2/5
Factor 4*y**3/3 + 8*y**2 - 4*y/3 - 40.
4*(y - 2)*(y + 3)*(y + 5)/3
Find w, given that 3*w**4 - 21*w**3 + 18*w**2 = 0.
0, 1, 6
Factor -5*z**4/3 - 5*z**3/3 + 150*z**2.
-5*z**2*(z - 9)*(z + 10)/3
Factor 2*n**3/7 - 24*n**2/7 + 58*n/7 - 36/7.
2*(n - 9)*(n - 2)*(n - 1)/7
Solve -3*t**3/2 - 9*t**2/2 = 0.
-3, 0
Factor 2*r**4/11 - 4*r**2/11 + 2/11.
2*(r - 1)**2*(r + 1)**2/11
Factor -2*t**2/3 - 3604*t/3 - 3602/3.
-2*(t + 1)*(t + 1801)/3
Factor -4*r**4 - 16*r**3 - 12*r**2 + 16*r + 16.
-4*(r - 1)*(r + 1)*(r + 2)**2
Find t such that -2*t**4/11 + 2*t**2/11 = 0.
-1, 0, 1
Factor 4*y**4 + 82*y**3 + 504*y**2 + 810*y.
2*y*(y + 9)**2*(2*y + 5)
Factor 5*p**2 + 1930*p + 186245.
5*(p + 193)**2
Solve -q**4/4 + 5*q**3/4 - 5*q**2/4 - 5*q/4 + 3/2 = 0.
-1, 1, 2, 3
Let -w**4 - 2*w**3 + 8*w**2 = 0. Calculate w.
-4, 0, 2
Factor -4*a**3 - 136*a**2 + 148*a + 280.
-4*(a - 2)*(a + 1)*(a + 35)
Factor 28*k**5 - 72*k**4 - 36*k**3.
4*k**3*(k - 3)*(7*k + 3)
Find f such that 2*f**4 + 52*f**3 + 182*f**2 + 132*f = 0.
-22, -3, -1, 0
Find a, given that 8*a**5 - 42*a**4 - 54*a**3 + 112*a**2 - 24*a = 0.
-2, 0, 1/4, 1, 6
Determine j, given that j**5 - 26*j**4/3 + 10*j**3 + 40*j**2/3 - 11*j - 14/3 = 0.
-1, -1/3, 1, 2, 7
Let h**3/9 - 19*h**2/3 + 99*h - 243 = 0. What is h?
3, 27
Solve -2*n**4 - 104*n**3 + 326*n**2 - 220*n = 0.
-55, 0, 1, 2
Determine o so that o**2 - 2697*o - 2698 = 0.
-1, 2698
Find g such that -100*g**4 - 40*g**3 - 4*g**2 = 0.
-1/5, 0
Solve 15*b**3 - 276*b**2 + 108*b = 0.
0, 2/5, 18
Suppose -45*k**5 + 890*k**4 - 655*k**3 - 190*k**2 = 0. What is k?
-2/9, 0, 1, 19
Factor 15*c**2/7 - 857*c/7 + 114/7.
(c - 57)*(15*c - 2)/7
Determine v, given that v**3/4 - 153*v**2/4 + 7803*v/4 - 132651/4 = 0.
51
Determine l so that 2*l**2 - 16*l + 24 = 0.
2, 6
Suppose -4*q**5/7 - 79*q**4/7 + 36*q**3/7 + 316*q**2/7 - 80*q/7 = 0. Calculate q.
-20, -2, 0, 1/4, 2
Suppose 2*v**2 + 3986*v - 3988 = 0. Calculate v.
-1994, 1
Factor 21*p**5/2 - 3*p**4.
3*p**4*(7*p - 2)/2
Factor -h**2/2 - 91*h/2 - 255.
-(h + 6)*(h + 85)/2
Factor 5*w**2 + 150*w + 280.
5*(w + 2)*(w + 28)
Suppose -18*m**4/11 + 24*m**3/11 + 30*m**2/11 - 12*m/11 = 0. Calculate m.
-1, 0, 1/3, 2
Factor 3*w**3 - 3186*w**2 + 6360*w.
3*w*(w - 1060)*(w - 2)
Solve 3*s**2/5 - 339*s/5 + 666/5 = 0 for s.
2, 111
Factor 2*c**2/3 + 2*c/3 + 1/6.
(2*c + 1)**2/6
Let -2*x**5/13 + 1710*x**4/13 - 8516*x**3/13 + 13608*x**2/13 - 6800*x/13 = 0. Calculate x.
0, 1, 2, 850
Factor -2*l**2 - 36*l - 162.
-2*(l + 9)**2
Factor m**5 + 6*m**4 + 4*m**3 - 6*m**2 - 5*m.
m*(m - 1)*(m + 1)**2*(m + 5)
Factor 4*v**2/7 + 440*v/7 + 12100/7.
4*(v + 55)**2/7
Solve 5*j**2 - 10660*j - 10665 = 0.
-1, 2133
Find w such that -18*w**2 - 2127*w - 354 = 0.
-118, -1/6
Find i such that -5*i**3/4 + 1715*i**2/4 + 430*i = 0.
-1, 0, 344
Factor 4*x**4 - 28*x**3 + 32*x**2 + 64*x.
4*x*(x - 4)**2*(x + 1)
Factor -4*l**3 + 12*l**2 + 36*l - 108.
-4*(l - 3)**2*(l + 3)
Let 2*t**3/7 - 72*t**2/7 + 58*t/7 + 60 = 0. Calculate t.
-2, 3, 35
Solve 10*i**3 - 112*i**2 + 184*i = 0 for i.
0, 2, 46/5
Find w such that 4*w**3 - 40*w**2 + 128*w - 128 = 0.
2, 4
Factor -5*t**5 - 35*t**4 - 90*t**3 - 100*t**2 - 40*t.
-5*t*(t + 1)*(t + 2)**3
Factor 2*b**5 - 24*b**4 + 58*b**3 - 36*b**2.
2*b**2*(b - 9)*(b - 2)*(b - 1)
Let 3*h**4 + 33*h**3 + 105*h**2 + 75*h = 0. Calculate h.
-5, -1, 0
Solve -d**3 - 105*d**2 - 696*d - 980 = 0 for d.
-98, -5, -2
Suppose -5*h**2 + 47950*h - 114960125 = 0. What is h?
4795
Determine u so that -2*u**3/3 - 1052*u**2/3 - 350*u = 0.
-525, -1, 0
Suppose -16*p**4/5 - 339*p**3/5 + 2418*p**2/5 - 5092*p/5 + 696 = 0. What is p?
-435/16, 2
Let -3*r**5 + 15*r**4 - 12*r**3 - 48*r**2 + 96*r - 48 = 0. What is r?
-2, 1, 2
Suppose -4*c**3 + 20*c**2 - 25*c = 0. What is c?
0, 5/2
Find i, given that 45*i**5 + 800*i**4 + 3420*i**3 + 3520*i**2 - 960*i = 0.
-12, -4, -2, 0, 2/9
Find c, given that -c**3 - 1102*c**2 - 303601*c = 0.
-551, 0
Solve 4*h**5 - 56*h**4 + 264*h**3 - 496*h**2 + 404*h - 120 = 0.
1, 5, 6
Suppose -31*a**4 - 91*a**3 + 6*a**2 = 0. Calculate a.
-3, 0, 2/31
Factor -2*m**2 + 44*m + 208.
-2*(m - 26)*(m + 4)
Determine q, given that 30*q**4 - 115*q**3 + 65*q**2 + 35*q - 15 = 0.
-1/2, 1/3, 1, 3
Solve -h**2/3 + 11*h/3 + 4 = 0.
-1, 12
Find o such that 3*o**2 - 24*o - 27 = 0.
-1, 9
Find f, given that 2*f**2 + 1896*f + 449352 = 0.
-474
Factor 125*z**2 - 15*z.
5*z*(25*z - 3)
Factor -j**4 - 124*j**3 - 3844*j**2.
-j**2*(j + 62)**2
Factor 3*w**4 - 222*w**3 - 684*w**2 - 69