11.
(s - 316)*(s + 4)**3/11
Find p, given that -2*p**2/3 - 260*p/3 - 8450/3 = 0.
-65
What is f in -3*f**4 + 39*f**3 + 723*f**2 - 759*f = 0?
-11, 0, 1, 23
Find z, given that 2*z**4 - 50*z**3 + 350*z**2 - 750*z = 0.
0, 5, 15
Factor 2*h**3/3 - 310*h**2/3 - 626*h/3 - 314/3.
2*(h - 157)*(h + 1)**2/3
Factor 2*w**4/19 - 14*w**3/19 - 52*w**2/19 + 144*w/19.
2*w*(w - 9)*(w - 2)*(w + 4)/19
Find m, given that -4*m**2 + 108*m + 112 = 0.
-1, 28
Find s, given that -14*s**4/5 - 32*s**3 - 408*s**2/5 + 288*s/5 = 0.
-6, 0, 4/7
Find t, given that -15*t**4 + 245*t**3 - 1425*t**2 + 3375*t - 2500 = 0.
4/3, 5
Factor 3*r**3 + 699*r**2 - 2832*r + 2844.
3*(r - 2)**2*(r + 237)
Solve w**5/3 + 23*w**4/3 + 40*w**3 - 48*w**2 = 0.
-12, 0, 1
Factor -3*i**3/7 + 48*i**2/7 + 15*i + 54/7.
-3*(i - 18)*(i + 1)**2/7
Factor -t**3 - 113*t**2.
-t**2*(t + 113)
Find y such that y**4/4 - 4*y**3 + 15*y**2 + 16*y - 64 = 0.
-2, 2, 8
Find t, given that -98*t**4/5 - 476*t**3/5 - 746*t**2/5 - 408*t/5 - 72/5 = 0.
-2, -3/7
What is w in 2*w**3 - 24*w**2 + 96*w - 128 = 0?
4
Factor 5*i**4 + 230*i**3 - 2435*i**2 + 2200*i.
5*i*(i - 8)*(i - 1)*(i + 55)
Factor -175*m**2 + 345*m + 10.
-5*(m - 2)*(35*m + 1)
Suppose k**3 - 68*k**2 + 427*k = 0. Calculate k.
0, 7, 61
Solve -2*a**4/3 + 202*a**3/3 - 5200*a**2/3 + 5000*a/3 = 0.
0, 1, 50
Suppose -3*q**3 + 4428*q**2 - 2178576*q + 357286464 = 0. Calculate q.
492
Determine n so that -2*n**3/13 + 8*n**2/13 = 0.
0, 4
Determine j so that 3*j**2 + 6*j - 9 = 0.
-3, 1
Determine y, given that y**3/4 - 103*y**2/2 + 10609*y/4 = 0.
0, 103
Factor f**2/2 + 117*f - 236.
(f - 2)*(f + 236)/2
Factor 2*h**3/21 - 4*h**2/21.
2*h**2*(h - 2)/21
Factor k**4/4 + 49*k**3/4 + 319*k**2/4 - 7569*k/4.
k*(k - 9)*(k + 29)**2/4
What is i in -9*i**5/2 - 15*i**4 + 22*i**3 + 44*i**2 + 16*i = 0?
-4, -2/3, 0, 2
Factor 484*q**4 + 176*q**3 + 16*q**2.
4*q**2*(11*q + 2)**2
Factor -n**5 - 4*n**4 + 26*n**3 - 44*n**2 + 31*n - 8.
-(n - 1)**4*(n + 8)
Find k such that 3*k**2/7 - 18*k/7 - 81/7 = 0.
-3, 9
Factor 3*h**2/2 + 54*h - 615/2.
3*(h - 5)*(h + 41)/2
Let 2*u**5 - 24*u**4 - 6*u**3 + 68*u**2 + 48*u = 0. What is u?
-1, 0, 2, 12
Determine z so that -2*z**4/11 + 24*z**3/11 - 60*z**2/11 + 56*z/11 - 18/11 = 0.
1, 9
Find g, given that -2*g**4/7 - 58*g**3/7 + 256*g**2/7 - 264*g/7 = 0.
-33, 0, 2
Factor -3*w**3 + 48*w**2 - 159*w - 210.
-3*(w - 10)*(w - 7)*(w + 1)
Factor -3*h**3/4 + 3*h/4.
-3*h*(h - 1)*(h + 1)/4
Factor -5*l**2 - 2800*l.
-5*l*(l + 560)
Factor 252*o**3/13 - 514*o**2/13 + 272*o/13 - 10/13.
2*(o - 1)**2*(126*o - 5)/13
Factor 4*l**2 + 984*l + 60516.
4*(l + 123)**2
Factor 4*w**4 + 152*w**3 + 1152*w**2 + 3240*w + 3132.
4*(w + 3)**3*(w + 29)
Let -242*c**4 + 4202*c**3 - 11668*c**2 + 3832*c - 336 = 0. Calculate c.
2/11, 3, 14
Factor 2*v**4/5 + 2*v**3/5 - 2*v**2 + 6*v/5.
2*v*(v - 1)**2*(v + 3)/5
Suppose 3*h**4 + 51*h**3 + 87*h**2 - 51*h - 90 = 0. What is h?
-15, -2, -1, 1
Solve -f**5 - 125*f**4 - 3843*f**3 + 3969*f**2 = 0.
-63, 0, 1
Factor -2*q**3/11 + 62*q**2/11 - 224*q/11 + 216/11.
-2*(q - 27)*(q - 2)**2/11
Factor -2*s**5/11 + 4*s**3/11 - 2*s/11.
-2*s*(s - 1)**2*(s + 1)**2/11
Factor v**2/2 - 348*v.
v*(v - 696)/2
Let -2*u**4 - 10*u**3 + 12*u**2 = 0. What is u?
-6, 0, 1
Let m**2 + 12*m + 11 = 0. What is m?
-11, -1
Factor a**3/4 + 169*a**2/4 - 1041*a/4 + 1575/4.
(a - 3)**2*(a + 175)/4
Suppose -55*z**5 + 23*z**4 + 28*z**3 + 4*z**2 = 0. Calculate z.
-2/5, -2/11, 0, 1
Determine z, given that -2*z**5/3 + 8*z**4 - 68*z**3/3 + 8*z**2 + 70*z/3 - 16 = 0.
-1, 1, 3, 8
Suppose 140*b**5 + 2384*b**4 + 8608*b**3 - 16136*b**2 - 23148*b - 648 = 0. Calculate b.
-9, -1, -1/35, 2
Factor -4*t**2 + 220*t - 424.
-4*(t - 53)*(t - 2)
Factor 2*k**2 - 248*k + 7688.
2*(k - 62)**2
Let 9025*f**4/3 - 17290*f**3/3 + 2507*f**2 + 728*f/3 + 16/3 = 0. Calculate f.
-4/95, 1
Suppose -2*h**2/5 - 354*h/5 - 352/5 = 0. What is h?
-176, -1
Factor -3*a**4 + 459*a**3 - 22833*a**2 + 365505*a.
-3*a*(a - 59)**2*(a - 35)
Solve 2*z**2 + 4*z - 30 = 0 for z.
-5, 3
Find m, given that m**4/10 - m**3/10 - 4*m**2/5 + 6*m/5 = 0.
-3, 0, 2
Find d, given that 2*d**3 + 52*d**2 + 400*d + 896 = 0.
-14, -8, -4
Factor -2*b**4 + 34*b**3 + 204*b**2 + 344*b + 176.
-2*(b - 22)*(b + 1)*(b + 2)**2
Determine o, given that -2*o**3/7 - 10*o**2/7 - 12*o/7 = 0.
-3, -2, 0
Suppose a**4/2 + 27*a**3 - 111*a**2/2 + 28*a = 0. Calculate a.
-56, 0, 1
Factor 2*j**3/13 + 150*j**2/13 - 792*j/13 + 640/13.
2*(j - 4)*(j - 1)*(j + 80)/13
Solve -3*m**2 + 33*m + 78 = 0.
-2, 13
Factor -2*o**3/9 + 154*o**2/9 - 962*o/3 - 338.
-2*(o - 39)**2*(o + 1)/9
Factor -81*a**4 + 927*a**3 + 6080*a**2 - 2836*a + 320.
-(a - 16)*(a + 5)*(9*a - 2)**2
Factor 324*w**3 - 468*w**2 + 160*w - 16.
4*(w - 1)*(9*w - 2)**2
Solve w**3 - 205*w**2 + 10608*w - 10404 = 0 for w.
1, 102
Suppose -r**4/2 - 4*r**3 - 6*r**2 + 16*r + 32 = 0. Calculate r.
-4, -2, 2
Solve g**4/9 + 17*g**3/9 + 80*g**2/9 + 64*g/9 = 0 for g.
-8, -1, 0
Factor 4*b**5 - 24*b**4 + 56*b**3 - 64*b**2 + 36*b - 8.
4*(b - 2)*(b - 1)**4
Suppose -p**4 + 619*p**3 - 127305*p**2 + 8612649*p + 17739486 = 0. Calculate p.
-2, 207
Factor -61347*r**3/5 + 185757*r**2/5 - 1032*r + 36/5.
-3*(r - 3)*(143*r - 2)**2/5
Find z, given that 3*z**2/2 + 597*z + 118803/2 = 0.
-199
Factor 5*f**3 - 235*f**2 + 660*f.
5*f*(f - 44)*(f - 3)
Let -3*a**5 - 75*a**4 - 426*a**3 + 582*a**2 + 429*a - 507 = 0. What is a?
-13, -1, 1
Factor d**2 + 144*d + 5184.
(d + 72)**2
Determine m so that m**3/2 + 17*m**2/2 - 19*m = 0.
-19, 0, 2
Factor -2*z**3/3 + 132*z**2 - 6400*z - 40000/3.
-2*(z - 100)**2*(z + 2)/3
Let 2*s**5/9 + 2*s**4/9 - 14*s**3/9 - 2*s**2/9 + 4*s/3 = 0. What is s?
-3, -1, 0, 1, 2
Factor -5*v**5 - 445*v**4 - 1730*v**3 - 2570*v**2 - 1705*v - 425.
-5*(v + 1)**4*(v + 85)
Factor 6*i**3/5 + 62*i**2/5 + 116*i/5 + 32/5.
2*(i + 2)*(i + 8)*(3*i + 1)/5
Factor -15*n**4 - 6*n**3 + 15*n**2 + 6*n.
-3*n*(n - 1)*(n + 1)*(5*n + 2)
Factor j**4/3 - 4*j**3/3 - 5*j**2/3.
j**2*(j - 5)*(j + 1)/3
Factor 3*s**2 + 102*s + 867.
3*(s + 17)**2
What is y in y**4/8 - 21*y**3/4 + 441*y**2/8 = 0?
0, 21
Suppose -42*n**3 + 2188*n**2 + 2018*n - 212 = 0. What is n?
-1, 2/21, 53
Solve p**3 - 79*p**2 + 1072*p - 4032 = 0 for p.
8, 63
Factor -4*h**3/7 - 1340*h**2/7 - 108800*h/7 + 578000/7.
-4*(h - 5)*(h + 170)**2/7
Factor -2*j**2/15 - 36*j/5 - 106/15.
-2*(j + 1)*(j + 53)/15
Factor 2*c**2/7 + 878*c/7 + 876/7.
2*(c + 1)*(c + 438)/7
Factor 2*d**3/9 - 304*d**2/9 - 34*d.
2*d*(d - 153)*(d + 1)/9
Determine s so that -s**3/8 + 355*s**2/2 - 502677*s/8 - 505521/4 = 0.
-2, 711
Determine u, given that 4*u**4/5 - 1164*u**3/5 + 83509*u**2/5 + 170526*u/5 + 85849/5 = 0.
-1, 293/2
Factor -i**5/4 - i**4/2 + i**3/2 + 2*i**2 + 7*i/4 + 1/2.
-(i - 2)*(i + 1)**4/4
Determine z so that -2*z**2/5 - 24*z - 118/5 = 0.
-59, -1
Factor 4*n**2/3 + 16*n/3.
4*n*(n + 4)/3
Factor -4*z**3/3 + 272*z**2 + 2500*z/3 - 1104.
-4*(z - 207)*(z - 1)*(z + 4)/3
Determine x so that -4*x**5/3 - 34*x**4/3 - 24*x**3 + 4*x**2/3 + 76*x/3 + 10 = 0.
-5, -3, -1, -1/2, 1
Determine w, given that 2*w**5 + 194*w**4 + 4118*w**3 + 31390*w**2 + 82192*w + 68728 = 0.
-71, -11, -2
Factor -5*t**4 - 25*t**3 + 390*t**2 - 360*t.
-5*t*(t - 6)*(t - 1)*(t + 12)
Factor -j**3/5 - 13557*j**2/5 - 45941283*j/5 + 45954841/5.
-(j - 1)*(j + 6779)**2/5
Find g such that -g**5/3 - g**4 + 70*g**3/3 - 182*g**2/3 + 57*g - 55/3 = 0.
-11, 1, 5
Suppose 2*r**3 + 10362*r**2 + 17895174*r + 10301655166 = 0. Calculate r.
-1727
What is l in 51*l**2/4 - 3*l/2 = 0?
0, 2/17
Factor a**3/2 - 111*a**2/2 + 1404*a.
a*(a - 72)*(a - 39)/2
Factor -5*h**3 - 30*h**2 + 185*h + 450.
-5*(h - 5)*(h + 2)*(h + 9)
Factor -3*d**2 + 39*d + 144.
-3*(d - 16)*(d + 3)
Determine h, given that h**2 + 6*h + 8 = 0.
-4, -2
Suppose 2*t**4 + 10*t**3 - 2*t**2 - 10*t = 0. What is t?
-5, -1, 0, 1
Factor o**4 - 9*o**2 + 4*o + 12.
(o - 2)**2*(o + 1)*(o + 3)
Suppose 4*k**5 + 20*k**4 + 32*k**3 + 16*k**2 = 0. Calculate k.
-2, -1, 0
Let 2*f**2/11 + 884*f/11 + 97682/11 = 0. Calculate f.
-221
Factor 2*u**2 + 346*u + 1680.
2*(u + 5)*(u + 168)
Let 14*o**2 + 998*o + 284 = 0. Calculate o.
-71, -2/7
Factor -8*g**2/3 - 6334*g/3 + 528.
-2*(g + 792)*(4*g - 1)/3
Determine a, given that -2*a**3/7 + 46*a**2/7 + 48*a/7 = 0.
-1, 0, 24
Let -p**2 + 12*p - 20 = 0. Calculate p.
2, 10
Factor -v**2/2 - 3633*v - 13198689/2.
-(v + 3633)**2/2
Factor -2*t**4/3 - 4*t**3/3 + 22*t**2/3 + 8*t - 24.
-2*