(4*w + 1)/4
Factor 35*n**5 + 145*n**4 + 165*n**3 - 25*n**2 - 140*n - 60.
5*(n + 1)**3*(n + 2)*(7*n - 6)
Factor 3*m**2 - 492*m + 4620.
3*(m - 154)*(m - 10)
Suppose -3*v**2 - 39*v - 120 = 0. Calculate v.
-8, -5
Suppose -3*a**5 - 46*a**4 - 96*a**3 - 66*a**2 - 13*a = 0. Calculate a.
-13, -1, -1/3, 0
Find m such that 4*m**3/3 - 20*m**2/3 + 16*m/3 = 0.
0, 1, 4
Factor -4*a**2 - 100*a + 3600.
-4*(a - 20)*(a + 45)
Factor 3*h**4/7 - 3*h**3/7 - 27*h**2/7 + 27*h/7.
3*h*(h - 3)*(h - 1)*(h + 3)/7
Suppose 2*s**5 - 26*s**4 - 60*s**3 - 4*s**2 + 58*s + 30 = 0. Calculate s.
-1, 1, 15
Let 2*g**5/17 + 18*g**4/17 - 94*g**3/17 + 126*g**2/17 - 52*g/17 = 0. Calculate g.
-13, 0, 1, 2
Factor 2*m**3 + 62*m**2 - 2*m - 62.
2*(m - 1)*(m + 1)*(m + 31)
Solve -2*f**4/5 - 58*f**3/5 + 2*f**2/5 + 58*f/5 = 0 for f.
-29, -1, 0, 1
Suppose 2*d**2/13 - 222*d/13 = 0. What is d?
0, 111
Find x such that -2*x**2 - 16*x - 24 = 0.
-6, -2
Find u, given that 3*u**3 - 105*u**2 - 588*u - 480 = 0.
-4, -1, 40
Let 2*h**4/9 + 2*h**3/9 - 8*h**2/9 - 8*h/9 = 0. Calculate h.
-2, -1, 0, 2
Factor 3*k**2/2 - 687*k - 1377/2.
3*(k - 459)*(k + 1)/2
What is k in -k**5/4 - 17*k**4/2 - 6*k**3 + 143*k**2/2 - 359*k/4 + 33 = 0?
-33, -4, 1
Let -m**4 - 38*m**3 - 457*m**2 - 1824*m - 2304 = 0. Calculate m.
-16, -3
Let a**2/3 - 148*a - 445/3 = 0. Calculate a.
-1, 445
Factor -m**3/3 + 10*m**2 - 81*m + 374/3.
-(m - 17)*(m - 11)*(m - 2)/3
What is v in -4*v**3 + 140*v**2 - 264*v = 0?
0, 2, 33
Let -9*u**4/7 + 66*u**3/7 - 3*u**2 = 0. What is u?
0, 1/3, 7
Factor 2*p**2/21 - 2*p/7.
2*p*(p - 3)/21
Factor -81*a**4 + 1332*a**3 - 7492*a**2 + 16576*a - 12544.
-(a - 2)**2*(9*a - 56)**2
Let -4*d**5 + 140*d**4 + 360*d**3 - 2360*d**2 - 356*d + 2220 = 0. Calculate d.
-5, -1, 1, 3, 37
Solve k**5 - 16*k**4 + 96*k**3 - 256*k**2 + 256*k = 0.
0, 4
Suppose -x**4/2 + 5*x**3/2 + 15*x**2/2 - 5*x/2 - 7 = 0. What is x?
-2, -1, 1, 7
Factor -3*s**2 - 4584*s - 1751088.
-3*(s + 764)**2
Factor 35*f**2 - 42115*f + 12030.
5*(f - 1203)*(7*f - 2)
Factor g**4/2 - 75*g**3/2 + 144*g**2 - 142*g.
g*(g - 71)*(g - 2)**2/2
Let -11*l**2/6 - 23*l/3 - 4/3 = 0. What is l?
-4, -2/11
Factor 35*y**4 - 1340*y**3 - 2420*y**2 + 800*y.
5*y*(y - 40)*(y + 2)*(7*y - 2)
Factor -b**3/2 - 16*b**2 + 329*b/2 + 180.
-(b - 9)*(b + 1)*(b + 40)/2
Find g, given that -16*g**4 - 56*g**3 + 991*g**2 - 484*g + 60 = 0.
-10, 1/4, 6
Factor -2*d**2/7 - 34*d/7 - 60/7.
-2*(d + 2)*(d + 15)/7
Suppose 2*y**2/21 - 1480*y/21 - 2984/7 = 0. What is y?
-6, 746
Factor 5*j**2 - 65*j.
5*j*(j - 13)
Let -8*y**4/3 + 107*y**3 - 352*y**2/3 + 13*y = 0. What is y?
0, 1/8, 1, 39
What is h in 6*h**2/11 - 84*h/11 + 18 = 0?
3, 11
Determine u so that u**4/5 - 233*u**3/5 - 469*u**2/5 - 47*u = 0.
-1, 0, 235
Let -t**3 - 9*t**2 + 21*t + 245 = 0. Calculate t.
-7, 5
Factor -d**4/2 + 4*d**3 + 23*d**2/2 - 15*d.
-d*(d - 10)*(d - 1)*(d + 3)/2
Solve -2*h**4/9 - 8*h**3/9 + 2*h**2/3 + 20*h/9 - 16/9 = 0 for h.
-4, -2, 1
Factor o**3 + 13*o**2 + 31*o - 45.
(o - 1)*(o + 5)*(o + 9)
Factor 3*q**4/4 - 21*q**3/4 - 27*q**2/2.
3*q**2*(q - 9)*(q + 2)/4
Find y, given that -3*y**4/4 + 7*y**3/4 + 23*y**2/4 - 63*y/4 + 9 = 0.
-3, 1, 4/3, 3
Factor -4*k**4 + 20*k**3 - 12*k**2 - 20*k + 16.
-4*(k - 4)*(k - 1)**2*(k + 1)
Factor -a**4 - 7*a**3 - 16*a**2 - 12*a.
-a*(a + 2)**2*(a + 3)
Let 5*t**4/3 - 10*t**3/3 = 0. What is t?
0, 2
Let -21*y**3 + 306*y**2 - 729*y - 1056 = 0. What is y?
-1, 32/7, 11
Determine l so that -l**4/2 + l**3/2 + 15*l**2 - 36*l = 0.
-6, 0, 3, 4
Solve 10*k**3/3 - 3638*k**2/3 + 6512*k/3 + 1448/3 = 0 for k.
-1/5, 2, 362
Factor -2*b**3/3 + 4178*b**2/3 - 728016*b + 726624.
-2*(b - 1044)**2*(b - 1)/3
Solve 6*h**5/5 + 62*h**4/5 - 58*h**3/5 - 158*h**2/5 - 44*h/5 = 0.
-11, -1, -1/3, 0, 2
Factor 4*m**3 + 96*m**2 + 576*m.
4*m*(m + 12)**2
Factor 2*n**3 + 186*n**2 - 584*n - 768.
2*(n - 4)*(n + 1)*(n + 96)
Find k, given that -2*k**4/15 + 2*k**3/3 + 926*k**2/15 + 1814*k/15 + 60 = 0.
-18, -1, 25
Let 48*u**3 - 2568*u**2 - 1293*u - 162 = 0. Calculate u.
-1/4, 54
Suppose -10*w**3/3 + 77*w**2/3 + 8*w = 0. Calculate w.
-3/10, 0, 8
Let 24*y**3 - 87*y**2 + 60*y + 36 = 0. Calculate y.
-3/8, 2
Factor 84*v**2 - 75*v - 9.
3*(v - 1)*(28*v + 3)
Solve -s**3 - 89*s**2 - 1935*s + 2025 = 0.
-45, 1
Find z such that 507*z**4 + 6006*z**3 + 22467*z**2 + 27720*z + 10800 = 0.
-5, -12/13
Solve -v**5/6 - 3*v**4 - 23*v**3/3 - 2*v**2 + 47*v/6 + 5 = 0.
-15, -2, -1, 1
Determine l, given that 5*l**5 + 15*l**4 - 10*l**3 - 60*l**2 - 40*l = 0.
-2, -1, 0, 2
Find w such that 16*w**5 + 24*w**4 - 127*w**3 + 122*w**2 - 39*w + 4 = 0.
-4, 1/4, 1
Factor -g**5/3 + 16*g**4/3 - 14*g**3 - 392*g**2/3 + 1715*g/3.
-g*(g - 7)**3*(g + 5)/3
Factor 2*x**4 - 44*x**3 + 216*x**2 - 400*x + 256.
2*(x - 16)*(x - 2)**3
Factor -2*w**3/7 + 16*w**2/7 + 2*w/7 - 16/7.
-2*(w - 8)*(w - 1)*(w + 1)/7
Suppose -18*c**5/11 + 8850*c**4/11 - 1077446*c**3/11 - 2546578*c**2/11 - 1948336*c/11 - 488072/11 = 0. Calculate c.
-1, -2/3, 247
Factor -4*o**4/7 + 12*o**3/7 - 8*o**2/7.
-4*o**2*(o - 2)*(o - 1)/7
Factor n**3/4 - 93*n**2/4 + 45*n/2 + 46.
(n - 92)*(n - 2)*(n + 1)/4
Determine g, given that 3*g**3/8 + 33*g**2/4 + 459*g/8 + 243/2 = 0.
-9, -4
Determine n, given that n**2 - 2239*n - 4482 = 0.
-2, 2241
Factor -3*s**5 - 12*s**4 + 9*s**3 + 102*s**2 + 156*s + 72.
-3*(s - 3)*(s + 1)*(s + 2)**3
Suppose -u**3/2 - 9*u**2/2 = 0. What is u?
-9, 0
Determine f, given that 13*f**3/2 + 21*f**2/2 + 4*f = 0.
-1, -8/13, 0
Factor 2*s**5 + 76*s**4 + 408*s**3 + 788*s**2 + 646*s + 192.
2*(s + 1)**3*(s + 3)*(s + 32)
Solve -3*f**5 - 294*f**4 - 858*f**3 - 276*f**2 + 861*f + 570 = 0 for f.
-95, -2, -1, 1
Factor c**2/6 + 115*c/6 + 19.
(c + 1)*(c + 114)/6
Factor -b**5 + 130*b**4 - 3820*b**3 - 26120*b**2 - 54400*b - 36992.
-(b - 68)**2*(b + 2)**3
Solve 2*y**2/13 - 500*y/13 = 0 for y.
0, 250
Factor -15*d**2 + 250*d + 85.
-5*(d - 17)*(3*d + 1)
Factor -2*n**4/5 - 6*n**3/5 + 8*n**2/5 + 24*n/5.
-2*n*(n - 2)*(n + 2)*(n + 3)/5
Factor 2*s**2/7 + 102*s/7 - 80.
2*(s - 5)*(s + 56)/7
Factor -2*k**4/5 + 16*k**3/5.
-2*k**3*(k - 8)/5
Factor -3*j**3/4 - 18*j**2 + 153*j/4 - 39/2.
-3*(j - 1)**2*(j + 26)/4
Factor 5*n**5 - 5*n**4 - 20*n**3 + 20*n**2.
5*n**2*(n - 2)*(n - 1)*(n + 2)
Solve -3*q**3 + 36*q**2 - 105*q = 0 for q.
0, 5, 7
Find a, given that a**3/4 + 7*a**2/4 + 15*a/4 + 9/4 = 0.
-3, -1
Solve i**4 - 9*i**3 + 20*i**2 = 0.
0, 4, 5
Determine g so that 2*g**2/7 + 13220*g/7 + 21846050/7 = 0.
-3305
Let 3*s**5 + 333*s**4 + 9048*s**3 - 12060*s**2 - 71232*s + 112896 = 0. Calculate s.
-56, -3, 2
Determine g so that 3*g**5/5 + 327*g**4/5 + 255*g**3 + 1581*g**2/5 + 126*g = 0.
-105, -2, -1, 0
What is z in -13*z**2/4 + 95*z/2 - 82 = 0?
2, 164/13
Factor -2*q**2/9 + 34348*q/9 - 147473138/9.
-2*(q - 8587)**2/9
Find x such that 4*x**2 + 3940*x/7 - 1128/7 = 0.
-141, 2/7
Factor -2*j**4 + 98*j**3 - 1248*j**2 + 1152*j.
-2*j*(j - 24)**2*(j - 1)
Factor 4*i**2 - 24*i - 2268.
4*(i - 27)*(i + 21)
Factor 4*i**3/7 - 2052*i**2/7 - 2056*i/7.
4*i*(i - 514)*(i + 1)/7
Solve u**5/2 - 19*u**4/2 + 79*u**3/2 + 119*u**2/2 - 40*u - 50 = 0 for u.
-1, 1, 10
Find x such that 2*x**2/11 - 30*x = 0.
0, 165
Factor b**3/5 + 14*b**2.
b**2*(b + 70)/5
Factor 3*t**2/2 - 39*t + 216.
3*(t - 18)*(t - 8)/2
Factor 3*z**2/5 - 6*z/5 - 864/5.
3*(z - 18)*(z + 16)/5
Factor r**4/6 + 16*r**3/3 + 29*r**2/6 - 31*r/3.
r*(r - 1)*(r + 2)*(r + 31)/6
Factor 4*p**3 + 68*p**2 + 380*p + 700.
4*(p + 5)**2*(p + 7)
Determine g, given that g**2/6 + 11*g/6 + 4 = 0.
-8, -3
Determine u so that u**2 + 240*u + 14400 = 0.
-120
Factor 1035*h**3 + 2060*h**2 - 20*h.
5*h*(h + 2)*(207*h - 2)
Let -k**5/4 + 5*k**4 + 3*k**3/4 - 31*k**2/2 + 10*k = 0. What is k?
-2, 0, 1, 20
Suppose -2*a**2 - 10*a - 8 = 0. Calculate a.
-4, -1
Suppose -b**5 + 22*b**4 - 95*b**3 - 310*b**2 + 96*b + 288 = 0. What is b?
-2, -1, 1, 12
Solve -2*f**2/5 - 12*f - 50 = 0 for f.
-25, -5
Factor 2*f**4/7 - 64*f**3/7 + 86*f**2 - 252*f.
2*f*(f - 18)*(f - 7)**2/7
Find o, given that -14*o**3/9 - 74*o**2/9 - 20*o/9 = 0.
-5, -2/7, 0
Determine h, given that 8*h**5/7 - 22*h**4/7 - 26*h**3 + 148*h**2/7 + 48*h/7 = 0.
-4, -1/4, 0, 1, 6
What is m in -m**2 - 41*m = 0?
-41, 0
What is a in -16*a**5 - 56*a**4 - 57*a**3 - 19*a**2 - 2*a = 0?
-2, -1, -1/4, 0
Find k such that -38*k**3 + 230*k**2/3 - 4*k/3 = 0.
0, 1/57, 2
Let 2*y**4/5 - 98*y**3/5 - 198*y**2 - 3078*y/5 - 3132/5 = 0. Calculate y.
-3, 58
Supp