)*(o + 2)*(o + 4)/4
Factor -3*m**2 - 39*m + 792.
-3*(m - 11)*(m + 24)
Let 5*d**4 + 3460*d**3 + 796950*d**2 + 60831540*d - 61631955 = 0. Calculate d.
-231, 1
Factor -f**2 + 2688*f - 5372.
-(f - 2686)*(f - 2)
Let 2*c**4/9 + 26*c**3/9 + 52*c**2/9 - 104*c/9 - 80/3 = 0. Calculate c.
-10, -3, -2, 2
Solve -48*a**5/7 - 28*a**4 + 42*a**3 - 8*a**2/7 - 6*a = 0.
-21/4, -1/3, 0, 1/2, 1
Determine t so that 5*t**2/2 - 300*t + 9000 = 0.
60
Solve -4*u**5 - 16*u**4 + 44*u**3 - 24*u**2 = 0.
-6, 0, 1
Factor -90*d**2/7 - 1436*d/7 + 64/7.
-2*(d + 16)*(45*d - 2)/7
Factor -n**2/5 - 13*n/5 - 22/5.
-(n + 2)*(n + 11)/5
Determine a so that 2*a**5 - 14*a**4/5 - 26*a**3/5 + 62*a**2/5 - 8*a + 8/5 = 0.
-2, 2/5, 1
Factor -2*v**4 + 335*v**3/2 - 3486*v**2 - 882*v.
-v*(v - 42)**2*(4*v + 1)/2
Find z such that 3*z**3/2 - 1605*z**2/2 + 801*z = 0.
0, 1, 534
Factor -3*j**2/4 + 186*j - 11532.
-3*(j - 124)**2/4
Solve s**2/3 + 3612*s + 9784908 = 0.
-5418
Suppose -2*g**4/9 + 2*g**3/9 + 8*g**2 - 8*g = 0. What is g?
-6, 0, 1, 6
Factor w**3/3 - 9*w**2 - 28*w/3.
w*(w - 28)*(w + 1)/3
Factor -4*n**2 - 856*n - 45796.
-4*(n + 107)**2
Suppose -2*t**3/15 - 10*t**2/3 + 38*t/5 + 54/5 = 0. Calculate t.
-27, -1, 3
Solve 17*r**5 + 94*r**4 + 173*r**3 + 100*r**2 - 28*r - 32 = 0 for r.
-2, -1, 8/17
What is j in 4*j**2 + 136*j - 288 = 0?
-36, 2
Suppose -8*v**3/11 - 114*v**2/11 - 292*v/11 - 6 = 0. What is v?
-11, -3, -1/4
Factor -4*s**5 - 40*s**4 + 96*s**3.
-4*s**3*(s - 2)*(s + 12)
Determine y so that -y**5/2 - 67*y**4 - 639*y**3/2 + 387*y**2 = 0.
-129, -6, 0, 1
Factor -p**5 + 3*p**4 - 2*p**3 - 2*p**2 + 3*p - 1.
-(p - 1)**4*(p + 1)
Factor l**2/3 + 20*l + 300.
(l + 30)**2/3
Factor -4*q**5/9 + 128*q**4/9 - 1552*q**3/9 + 8896*q**2/9 - 24320*q/9 + 25600/9.
-4*(q - 10)**2*(q - 4)**3/9
Suppose -4*t**2 - 276*t - 1280 = 0. Calculate t.
-64, -5
Suppose w**5/7 + 5*w**4/7 - w**3 - 5*w**2/7 + 6*w/7 = 0. Calculate w.
-6, -1, 0, 1
Factor -2888*n**2/5 + 456*n/5 - 18/5.
-2*(38*n - 3)**2/5
Find x, given that 3*x**5 - 324*x**4/5 + 1008*x**3/5 - 624*x**2/5 - 432*x/5 = 0.
-2/5, 0, 2, 18
Factor d**3/2 - 3*d**2/2 - 25*d/2 - 21/2.
(d - 7)*(d + 1)*(d + 3)/2
Factor -5*o**3 - 415*o**2 - 8400*o + 8820.
-5*(o - 1)*(o + 42)**2
Factor 2*h**4/3 - 52*h**3/3 + 136*h**2 - 336*h.
2*h*(h - 14)*(h - 6)**2/3
Let -r**3/2 - 50*r**2 - 99*r/2 = 0. Calculate r.
-99, -1, 0
Factor f**3/5 - 8*f**2/5 + f/5 + 42/5.
(f - 7)*(f - 3)*(f + 2)/5
Let -3*o**3/2 + 45*o**2/2 - 66*o = 0. What is o?
0, 4, 11
Solve -28*b**4 - 1340*b**3/3 - 3676*b**2/9 - 1148*b/9 - 40/3 = 0 for b.
-15, -1/3, -2/7
Suppose 2*z**3/3 + 8*z**2 - 40*z - 1600/3 = 0. Calculate z.
-10, 8
Let -2*j**3 - 2276*j**2 - 647522*j = 0. Calculate j.
-569, 0
Factor -10*x**3 + 96*x**2 + 280*x + 96.
-2*(x - 12)*(x + 2)*(5*x + 2)
Suppose 10*w**3 - 75*w**2 + 135*w - 50 = 0. What is w?
1/2, 2, 5
Factor 3*s**5/2 + 399*s**4/2 - 1215*s**3/2 + 1221*s**2/2 - 204*s.
3*s*(s - 1)**3*(s + 136)/2
What is a in -a**2/4 + 389*a/4 - 97 = 0?
1, 388
Determine u so that u**5/7 - u**4/7 - 9*u**3/7 + 5*u**2/7 + 16*u/7 - 12/7 = 0.
-2, 1, 3
Factor -2*s**4/13 + 2*s**3/13 + 2*s**2/13 - 2*s/13.
-2*s*(s - 1)**2*(s + 1)/13
Let -8*t**5 + 68*t**4 - 20*t**3 - 100*t**2 + 28*t + 32 = 0. Calculate t.
-1, -1/2, 1, 8
Suppose 3*r**3 - 63*r**2 + 54*r + 120 = 0. What is r?
-1, 2, 20
What is o in 5*o**4 - 15*o**3 + 15*o**2 - 5*o = 0?
0, 1
Determine g so that -3*g**2/2 - 219*g/2 - 213 = 0.
-71, -2
Factor 166*m**2 - 834*m + 20.
2*(m - 5)*(83*m - 2)
Factor 2*v**4 - 2*v**3 - 10*v**2 - 6*v.
2*v*(v - 3)*(v + 1)**2
Find o, given that 55*o**5 - 760*o**4 + 2335*o**3 + 3530*o**2 - 10220*o - 1960 = 0.
-2, -2/11, 2, 7
What is o in -3*o**4 + 52*o**3 - 14*o**2 - 52*o + 17 = 0?
-1, 1/3, 1, 17
Suppose 2*q**4/3 + 50*q**3 + 2566*q**2/3 - 3250*q - 4056 = 0. Calculate q.
-39, -1, 4
Factor -i**3 + 44*i**2 - 525*i + 882.
-(i - 21)**2*(i - 2)
Factor 2*p**3/3 + 94*p**2 - 96*p - 568/3.
2*(p - 2)*(p + 1)*(p + 142)/3
Solve 13*u**4/10 - 59*u**3/5 + 9*u**2/10 = 0 for u.
0, 1/13, 9
Factor -5*a**3 - 80*a**2 + 85*a.
-5*a*(a - 1)*(a + 17)
Factor 4*t**2 + 5296*t + 1752976.
4*(t + 662)**2
Factor 4*c**2 + 4864*c + 1478656.
4*(c + 608)**2
Factor r**4/4 + 21*r**3 - 43*r**2/2 - 21*r + 85/4.
(r - 1)**2*(r + 1)*(r + 85)/4
Factor -z**2/3 - 124*z/3 + 84.
-(z - 2)*(z + 126)/3
Let -25*r**4 - 35*r**3 + 390*r**2 - 340*r - 200 = 0. Calculate r.
-5, -2/5, 2
Solve v**5 + 3*v**4 - 10*v**3 - 20*v**2 + 24*v + 32 = 0 for v.
-4, -2, -1, 2
Factor 4*k**3/5 - 1236*k**2/5 + 21228*k - 319580.
4*(k - 145)**2*(k - 19)/5
Factor -4*j**2/7 + 660*j/7 - 656/7.
-4*(j - 164)*(j - 1)/7
Factor 4*b**4 + 40*b**3.
4*b**3*(b + 10)
Factor -162*r**2/7 - 468*r/7 - 338/7.
-2*(9*r + 13)**2/7
Factor 5*j**2 + 1140*j + 64980.
5*(j + 114)**2
Factor 579*f**2 + 1741*f/2 + 3.
(2*f + 3)*(579*f + 2)/2
Factor 3*z**3 - 585*z**2 - 2403*z + 2985.
3*(z - 199)*(z - 1)*(z + 5)
What is u in -5*u**5 + 80*u**3 + 190*u**2 + 165*u + 50 = 0?
-2, -1, 5
Suppose 45*w**3 - 820*w**2 + 2205*w - 450 = 0. What is w?
2/9, 3, 15
Factor m**2 + 573*m + 572.
(m + 1)*(m + 572)
What is u in -u**5 - 51*u**4 - 503*u**3 + 3971*u**2 + 504*u - 3920 = 0?
-28, -1, 1, 5
Solve -2500*o**5 - 14000*o**4 - 18400*o**3 - 10240*o**2 - 2624*o - 256 = 0.
-4, -2/5
What is h in 2*h**5/9 + 10*h**4/9 + 14*h**3/9 + 2*h**2/3 = 0?
-3, -1, 0
Factor -2*u**2 + 8172*u - 8347698.
-2*(u - 2043)**2
What is s in -s**2/6 + 34*s/3 - 578/3 = 0?
34
Let -3*x**4/2 + 9*x**3/2 + 27*x**2 + 6*x - 36 = 0. What is x?
-2, 1, 6
Determine l, given that -3*l**3/8 + 3*l**2/4 + 9*l = 0.
-4, 0, 6
Factor -5*b**2 + 5*b + 100.
-5*(b - 5)*(b + 4)
Determine o so that -5*o**2 - 105*o - 490 = 0.
-14, -7
Factor -2*u**2 + 36*u + 38.
-2*(u - 19)*(u + 1)
Find r such that -4*r**2/7 - 3812*r/7 - 11400/7 = 0.
-950, -3
Factor 5*y**2 + 40*y - 1045.
5*(y - 11)*(y + 19)
Suppose -4*z**5 - 40*z**4 - 152*z**3 - 272*z**2 - 228*z - 72 = 0. What is z?
-3, -2, -1
Suppose 3*d**2/4 + 18*d - 243/4 = 0. Calculate d.
-27, 3
Suppose 3*r**3 - 666*r**2 + 7668*r - 22680 = 0. What is r?
6, 210
Suppose -2*n**4 - 326*n**3 - 1282*n**2 - 1594*n - 636 = 0. What is n?
-159, -2, -1
Determine d, given that d**5/10 + 7*d**4/10 + 11*d**3/10 - 7*d**2/10 - 6*d/5 = 0.
-4, -3, -1, 0, 1
Find c, given that -c**2 - 330*c + 1675 = 0.
-335, 5
Factor 10*g**2/3 - 58*g/9 + 28/9.
2*(g - 1)*(15*g - 14)/9
Solve 3*o**3 - 12*o**2 - 153*o + 162 = 0 for o.
-6, 1, 9
Suppose -3*u**4 - 195*u**3 + 4977*u**2 - 36897*u + 88494 = 0. What is u?
-86, 7
Solve -s**3/3 + 38*s**2/3 - 37*s/3 = 0.
0, 1, 37
Factor -l**3 - 6*l**2 + 52*l + 120.
-(l - 6)*(l + 2)*(l + 10)
Solve -2*q**2/7 + 7036*q/7 - 7034/7 = 0 for q.
1, 3517
Solve -h**5/5 + 38*h**4/5 + 24*h**3 + 122*h**2/5 + 41*h/5 = 0 for h.
-1, 0, 41
Factor w**2 - w - 6.
(w - 3)*(w + 2)
Suppose -3*b**3 - 594*b**2 = 0. Calculate b.
-198, 0
Factor 2*n**4/7 + 30*n**3/7 - 152*n**2/7.
2*n**2*(n - 4)*(n + 19)/7
Solve 54*b**5 + 2127*b**4 + 2782*b**3 - 2588*b**2 - 152*b = 0.
-38, -2, -1/18, 0, 2/3
Factor 3*u**3/7 + 216*u**2/7 - 219*u/7.
3*u*(u - 1)*(u + 73)/7
Let 33*x**3/2 + 1743*x**2/2 - 159*x = 0. What is x?
-53, 0, 2/11
Find c such that c**4 - 6*c**3 + c**2 + 24*c - 20 = 0.
-2, 1, 2, 5
Suppose 2*g**2 + 6*g = 0. What is g?
-3, 0
What is x in -2*x**3/3 + 536*x**2/3 - 36442*x/3 + 70756/3 = 0?
2, 133
Factor -u**3/3 + 5*u**2/3 - 8*u/3 + 4/3.
-(u - 2)**2*(u - 1)/3
Solve -2*a**5/9 + 28*a**4/9 - 12*a**3 + 176*a**2/9 - 130*a/9 + 4 = 0.
1, 2, 9
Find z such that 5*z**5/4 - 15*z**4/4 - 25*z**3/4 + 75*z**2/4 + 5*z - 15 = 0.
-2, -1, 1, 2, 3
Find d, given that 2*d**4/3 - 44*d**3/3 + 38*d**2/3 + 28*d = 0.
-1, 0, 2, 21
Determine d, given that -12*d**4/5 + 66*d**3/5 - 72*d**2/5 - 6*d/5 + 24/5 = 0.
-1/2, 1, 4
Determine m so that -m**3/6 - 19*m**2/6 + 13*m/3 + 20 = 0.
-20, -2, 3
Let -d**3 - 23*d**2 - 124*d - 192 = 0. Calculate d.
-16, -4, -3
Factor 14*a**3 - 372*a**2 + 2574*a - 1352.
2*(a - 13)**2*(7*a - 4)
What is v in -2*v**2/7 + 4*v/7 - 2/7 = 0?
1
Find s, given that -4*s**5 + 32*s**4 - 68*s**3 + 40*s**2 = 0.
0, 1, 2, 5
Solve -3*k**5/2 - 765*k**4/2 - 50649*k**3/2 - 240387*k**2/2 - 189000*k - 93750 = 0 for k.
-125, -2, -1
Factor 15*o**3 - 291*o**2 + 1014*o - 360.
3*(o - 15)*(o - 4)*(5*o - 2)
Factor -x**2/2 + 2*x + 5/2.
-(x - 5)*(x + 1)/2
Factor 3*v**3 + 525*v**2 + 3057*v + 2535.
3*(v + 1)*(v + 5)*(v + 169)
Suppose -g**3/2 - 27*g**2/2 + 2*g + 54 = 0. Calculate