**4/7 + 4*u**3/7 + 24*u**2/7 - 18*u/7 = 0?
-3, 0, 1
Determine o so that 2*o**2/7 + 2*o = 0.
-7, 0
Solve -3*h**5/2 - 3*h**4 - 3*h**3/2 = 0 for h.
-1, 0
Find r such that -4*r**4/9 + 808*r**3/9 - 39988*r**2/9 - 27472*r/3 - 4624 = 0.
-1, 102
Suppose -3*o**2 - 9*o + 54 = 0. Calculate o.
-6, 3
Factor -4*k**2 + 308*k + 632.
-4*(k - 79)*(k + 2)
Find m such that -3*m**5 + 10*m**4 + 57*m**3 - 164*m**2 - 144*m + 64 = 0.
-4, -1, 1/3, 4
Determine n so that -4*n**5 + 16*n**4 + 52*n**3 - 16*n**2 - 48*n = 0.
-2, -1, 0, 1, 6
Find r such that -4*r**5 - 4*r**4 = 0.
-1, 0
What is o in -o**3/6 + 179*o**2/12 - 265*o/12 + 22/3 = 0?
1/2, 1, 88
Factor 2*m**3/3 - 10*m**2/3 - 16*m.
2*m*(m - 8)*(m + 3)/3
Solve -2*b**2/11 - 1732*b/11 = 0.
-866, 0
Find i, given that 4225*i**4 - 7020*i**3 - 1309*i**2 + 7020*i - 2916 = 0.
-1, 54/65, 1
Solve -4*j**4 - 1120*j**3 - 74968*j**2 + 480480*j - 736164 = 0.
-143, 3
Let -a**5/5 + 24*a**4/5 - 164*a**3/5 + 218*a**2/5 + 33*a - 242/5 = 0. Calculate a.
-1, 1, 2, 11
Find d such that 5*d**3 - 565*d**2 - 1150*d = 0.
-2, 0, 115
Determine q so that q**3 - 160*q**2 + 769*q + 930 = 0.
-1, 6, 155
Determine y so that -2*y**3 + 30*y**2 - 72*y - 280 = 0.
-2, 7, 10
Factor 21*h**3 - 51*h**2 + 30*h.
3*h*(h - 1)*(7*h - 10)
Determine h, given that -5*h**4 - 60*h**3 - 270*h**2 - 540*h - 405 = 0.
-3
Factor 3*z**4/2 - 99*z**3 + 2070*z**2 - 11109*z - 109503/2.
3*(z - 23)**3*(z + 3)/2
Factor c**2 - 187*c + 370.
(c - 185)*(c - 2)
Let 4*j**5/3 - 20*j**4 + 52*j**3 - 148*j**2/3 + 16*j = 0. What is j?
0, 1, 12
Suppose -u**4/5 + 2*u**3 - u**2/5 - 84*u/5 + 108/5 = 0. What is u?
-3, 2, 9
Factor -k**4 + 54*k**3 - 189*k**2 - 17204*k + 17340.
-(k - 34)**2*(k - 1)*(k + 15)
Factor 3*d**4 - 300*d**3 + 1449*d**2 - 2292*d + 1140.
3*(d - 95)*(d - 2)**2*(d - 1)
Let 135*m**4 - 249*m**3 - 1672*m**2/3 + 836*m/3 - 32 = 0. What is m?
-8/5, 2/9, 3
Solve 6*y**5/7 + 92*y**4/7 + 384*y**3/7 + 316*y**2/7 - 582*y/7 - 216/7 = 0 for y.
-9, -4, -3, -1/3, 1
Factor 14*x**3/9 - 34*x**2/9 + 4*x/3.
2*x*(x - 2)*(7*x - 3)/9
Factor -2*n**4/17 + 54*n**3/17 + 56*n**2/17.
-2*n**2*(n - 28)*(n + 1)/17
Determine y, given that -269*y**3 + 2413*y**2/4 - 130*y - 1 = 0.
-2/269, 1/4, 2
Factor -5*s**2 - 215*s + 450.
-5*(s - 2)*(s + 45)
Factor 4*x**2/5 - 904*x/5 + 884.
4*(x - 221)*(x - 5)/5
Suppose h**5/2 - 79*h**4/2 + 885*h**3 - 7850*h**2 + 24500*h = 0. Calculate h.
0, 10, 49
Let 25*x**3/7 - 19430*x**2/7 - 15556*x/7 - 3112/7 = 0. Calculate x.
-2/5, 778
Factor -i**3/4 - i**2 - 5*i/4 - 1/2.
-(i + 1)**2*(i + 2)/4
Suppose -27*a**4 - 17235*a**3 - 40017*a**2 + 32427*a - 5724 = 0. What is a?
-636, -3, 1/3
Solve -5*b**2 - 855*b + 860 = 0.
-172, 1
Determine o so that -2*o**5 + 102*o**4 - 1140*o**3 - 4052*o**2 - 4266*o - 1458 = 0.
-1, 27
Factor g**2 + 275*g - 554.
(g - 2)*(g + 277)
Factor -2*z**3 + 32*z**2 + 70*z + 36.
-2*(z - 18)*(z + 1)**2
Let -5*c**3 + 20*c**2 + 635*c - 650 = 0. Calculate c.
-10, 1, 13
Factor 3*p**3 - 657*p**2 + 654*p.
3*p*(p - 218)*(p - 1)
Suppose 2*u**4/15 + 8*u**3/5 - 86*u**2/15 + 4*u = 0. Calculate u.
-15, 0, 1, 2
Solve -3*l**5 + 12*l**4 - 9*l**3 = 0 for l.
0, 1, 3
Factor y**3/3 + 20*y**2/3 + 100*y/3.
y*(y + 10)**2/3
Factor d**2 - 61*d/7 - 18/7.
(d - 9)*(7*d + 2)/7
Solve p**5 - 7*p**4 + 12*p**3 + 4*p**2 - 16*p = 0.
-1, 0, 2, 4
Factor 14*o**2/3 + 184*o + 78.
2*(o + 39)*(7*o + 3)/3
Factor -4*h**3 - 824*h**2 - 42436*h.
-4*h*(h + 103)**2
Factor -5*s**2/6 - 90*s - 2430.
-5*(s + 54)**2/6
Solve -5*k**4 - 220*k**3 + 5*k**2 + 220*k = 0 for k.
-44, -1, 0, 1
Factor -2*a**3/3 + 32*a**2/3 - 58*a/3 + 28/3.
-2*(a - 14)*(a - 1)**2/3
Factor -2*f**2 + 12*f - 18.
-2*(f - 3)**2
Determine r, given that 4*r**5/11 + 7*r**4/11 - 6*r**3/11 - 7*r**2/11 + 2*r/11 = 0.
-2, -1, 0, 1/4, 1
Find n such that n**3/2 + 5*n**2 - 12*n = 0.
-12, 0, 2
Factor -98*j**2/13 - 690*j/13 - 28/13.
-2*(j + 7)*(49*j + 2)/13
Let 3*t**3/8 + 33*t**2/8 + 27*t/4 = 0. Calculate t.
-9, -2, 0
Factor v**4/4 - 17*v**3/4 - 153*v**2/4 - 351*v/4 - 54.
(v - 24)*(v + 1)*(v + 3)**2/4
Determine v, given that 2*v**4 - 14*v**3 - 576*v**2 - 3424*v - 5888 = 0.
-8, -4, 23
Factor -4*l**2 + 56*l - 196.
-4*(l - 7)**2
What is q in -2*q**3/7 + 474*q**2/7 - 942*q/7 + 470/7 = 0?
1, 235
Factor c**2/4 - 57*c/2 - 351/4.
(c - 117)*(c + 3)/4
Determine b so that 2*b**4/5 - 108*b**3/5 + 736*b**2/5 = 0.
0, 8, 46
Factor 8*d**3 - 134*d**2 + 302*d + 84.
2*(d - 14)*(d - 3)*(4*d + 1)
Factor -63*i**2 - 6621*i - 630.
-3*(i + 105)*(21*i + 2)
Find q, given that -14*q**5 - 956*q**4 - 21748*q**3 - 186064*q**2 - 551502*q - 142884 = 0.
-27, -7, -2/7
Factor -k**4/5 + 7*k**3 - 343*k**2/5 + 1029*k/5.
-k*(k - 21)*(k - 7)**2/5
Let 6*p**3/5 + 6*p**2/5 - 48*p - 672/5 = 0. Calculate p.
-4, 7
Find t, given that -t**4/6 - 83*t**3/3 - 80*t**2/3 + 137*t - 165/2 = 0.
-165, -3, 1
Suppose 3*g**2 - 816*g + 55488 = 0. Calculate g.
136
Factor 5*v**2/7 + 2834*v/7 - 81.
(v + 567)*(5*v - 1)/7
Let 5*w**5 - 675*w**4 - 2770*w**3 - 1410*w**2 + 2765*w + 2085 = 0. What is w?
-3, -1, 1, 139
Let -5*r**4 + 15*r**3 - 15*r**2 + 5*r = 0. Calculate r.
0, 1
Factor 3*z**3 - 84*z**2 + 75*z + 162.
3*(z - 27)*(z - 2)*(z + 1)
Factor 33*g**2 - 12216*g + 2220.
3*(g - 370)*(11*g - 2)
Factor h**3/2 - 3*h**2/2 - 2*h + 6.
(h - 3)*(h - 2)*(h + 2)/2
Factor -v**4/9 + 8*v**3 + 49*v**2/3 + 74*v/9.
-v*(v - 74)*(v + 1)**2/9
Factor 2*v**3/9 - 10*v**2 + 88*v/9.
2*v*(v - 44)*(v - 1)/9
Find o such that -4*o**2 - 2084*o - 2080 = 0.
-520, -1
Suppose -4*n**3 + 12*n - 8 = 0. What is n?
-2, 1
Let -2*o**3/13 + 16*o**2/13 - 14*o/13 = 0. Calculate o.
0, 1, 7
Find w such that 4*w**3 + 5916*w**2 = 0.
-1479, 0
Factor -a**4 + 5*a**3.
-a**3*(a - 5)
Factor w**4/6 + 11*w**3/2 + 101*w**2/2 + 511*w/6 + 40.
(w + 1)**2*(w + 15)*(w + 16)/6
Find w, given that 5*w**3 - 110*w**2 + 105*w = 0.
0, 1, 21
Determine v, given that 35*v**3 - 200*v**2 + 115*v + 50 = 0.
-2/7, 1, 5
Suppose 4*o**3 + 216*o**2 - 444*o + 224 = 0. What is o?
-56, 1
Factor 2*j**2/19 + 14*j - 2860/19.
2*(j - 10)*(j + 143)/19
Factor -5*d**2/4 - 55*d/2 - 605/4.
-5*(d + 11)**2/4
Factor p**3/2 - 45*p**2/2 + 264*p - 242.
(p - 22)**2*(p - 1)/2
Factor o**5/4 - 17*o**4/4 + 51*o**3/2 - 63*o**2 + 54*o.
o*(o - 6)**2*(o - 3)*(o - 2)/4
Let g**2/3 + 5*g/3 + 4/3 = 0. Calculate g.
-4, -1
Factor -y**3 + 2*y**2 + 3*y.
-y*(y - 3)*(y + 1)
Let n**4 + 96*n**3 + 189*n**2 + 94*n = 0. What is n?
-94, -1, 0
What is y in -2*y**2 - 50*y = 0?
-25, 0
Let -2*o**3 + 42*o**2 - 244*o + 336 = 0. What is o?
2, 7, 12
Solve 4*t**5 - 84*t**4 + 392*t**3 + 568*t**2 - 396*t - 484 = 0.
-1, 1, 11
Factor 15*b**3 + 14*b**2 - 31*b + 2.
(b - 1)*(b + 2)*(15*b - 1)
Factor m**3/2 - 19*m**2/2 + 24*m.
m*(m - 16)*(m - 3)/2
Factor j**2 - 933*j + 1862.
(j - 931)*(j - 2)
Factor -g**2/3 + 5*g/3 + 2.
-(g - 6)*(g + 1)/3
Factor 8*o**3 + 44*o**2 + 68*o + 24.
4*(o + 2)*(o + 3)*(2*o + 1)
Let 5*a**3 - 25*a**2 + 35*a - 15 = 0. Calculate a.
1, 3
Solve -115*h**5/2 + 355*h**4/2 + 215*h**3 - 20*h**2 = 0.
-1, 0, 2/23, 4
Factor 3*z**3 + 3*z**2.
3*z**2*(z + 1)
Find b, given that b**2 + 225*b + 446 = 0.
-223, -2
Factor -3*q**2 - 12*q - 9.
-3*(q + 1)*(q + 3)
Let 2*u**5/7 - 4*u**4/7 - 48*u**3/7 = 0. Calculate u.
-4, 0, 6
Determine t so that 4*t**2 + 40*t - 156 = 0.
-13, 3
Factor o**5 + 48*o**4 + 864*o**3 + 6912*o**2 + 20736*o.
o*(o + 12)**4
Solve 18*u**5 - 4316*u**4 + 387840*u**3 - 15465600*u**2 + 229824000*u + 51840000 = 0.
-2/9, 60
Find f such that 3*f**2/8 + 9*f/8 - 645 = 0.
-43, 40
Suppose -a**4 - 9*a**3 - 28*a**2 - 36*a - 16 = 0. Calculate a.
-4, -2, -1
Factor -4*w**3/3 + 4*w**2 + 32*w + 112/3.
-4*(w - 7)*(w + 2)**2/3
Factor -19*p**5 + 112*p**4 - 159*p**3 - 18*p**2.
-p**2*(p - 3)**2*(19*p + 2)
Determine t so that -t**3/4 + 11*t**2/4 - 5*t/2 = 0.
0, 1, 10
Suppose v**4/12 = 0. Calculate v.
0
Solve 3*j**4/2 - 3*j**3 - 6*j**2 + 3*j + 9/2 = 0.
-1, 1, 3
Factor -c**2/8 - 9*c/2.
-c*(c + 36)/8
Determine f so that -3*f**3/8 - 9*f**2/2 - 69*f/8 + 27/2 = 0.
-9, -4, 1
Determine j so that j**4/3 + j**3 - 7*j**2/3 - 5*j + 6 = 0.
-3, 1, 2
Find u, given that -35*u**3/3 + 125*u**2/3 + 290*u/3 - 200/3 = 0.
-2, 4/7, 5
Let 2*c**2/9 - 86*c/9 + 80/3 = 0. Calculate c.
3, 40
Suppose -3*a**2/4 - 1137*a/2 = 0. Calculate a.
-758, 0
Solve -2*o**3/7 - 18*o**2/7 + 20*o = 0.
-14, 0, 5
Find f such that 2*f**4 + 255*f**3 - 649*f**2 + 132*f + 260 = 0.
-130, -1/2, 1, 2
Determine n, given that -3*n**5/2 - 39*n*