+ 113)
Factor -2*b**4 - 96*b**3 + 6*b**2 + 292*b + 192.
-2*(b - 2)*(b + 1)**2*(b + 48)
Factor 3*h**2/5 + 15*h.
3*h*(h + 25)/5
Determine a, given that -2*a**5/21 - 80*a**4/21 - 530*a**3/21 + 5260*a**2/21 - 11960*a/21 + 8464/21 = 0.
-23, 2
Factor 2*h**4 + 34*h**3 + 180*h**2 + 216*h - 432.
2*(h - 1)*(h + 6)**3
Factor -k**5 - k**4 + 4*k**3 + 4*k**2.
-k**2*(k - 2)*(k + 1)*(k + 2)
Find z such that -2*z**4/7 - 54*z**3/7 - 186*z**2/7 - 34*z/7 + 276/7 = 0.
-23, -3, -2, 1
Solve 5*v**2 - 45*v - 180 = 0 for v.
-3, 12
What is k in 4*k**2/7 + 408*k/7 + 10404/7 = 0?
-51
What is u in 5*u**5 + 215*u**4 - 110*u**3 - 4610*u**2 + 5385*u + 9675 = 0?
-43, -5, -1, 3
Suppose -b**4/3 - 69*b**3 - 206*b**2/3 = 0. What is b?
-206, -1, 0
Factor -5*s**5 + 45*s**4 - 150*s**3 + 230*s**2 - 165*s + 45.
-5*(s - 3)**2*(s - 1)**3
Find p such that 4*p**3 - 12*p**2 + 8*p = 0.
0, 1, 2
Suppose -3*b**3/5 + 12*b**2 - 351*b/5 + 486/5 = 0. What is b?
2, 9
Factor 2*g**3/3 - 4*g**2/3.
2*g**2*(g - 2)/3
Solve 2*w**4/15 + 2*w**3/5 - 12*w**2/5 = 0 for w.
-6, 0, 3
Factor -4*m**3 + 4*m**2 + 440*m.
-4*m*(m - 11)*(m + 10)
Factor -d**3/9 - 26*d**2/9 - 91*d/9 - 22/3.
-(d + 1)*(d + 3)*(d + 22)/9
Find r such that r**3 - 3*r**2 + 4 = 0.
-1, 2
Let -m**3/8 - 11*m**2/8 + 195*m/4 = 0. What is m?
-26, 0, 15
Factor a**3/11 + 108*a**2/11 + 2688*a/11 - 12544/11.
(a - 4)*(a + 56)**2/11
Suppose -10*p**4 - 635*p**3 + 1630*p**2 - 1315*p + 330 = 0. What is p?
-66, 1/2, 1
Solve 2*l**5/9 + 4*l**4/3 - 592*l**3/3 - 29216*l**2/9 - 10592*l - 9792 = 0 for l.
-18, -2, 34
Factor 3*n**4 - 21*n**3 - 123*n**2 - 99*n.
3*n*(n - 11)*(n + 1)*(n + 3)
Factor -4*t**2 - 140*t - 136.
-4*(t + 1)*(t + 34)
Let 10*t**2 - 18*t + 8 = 0. Calculate t.
4/5, 1
Let 2*v**4/11 - 2*v**3 + 84*v**2/11 - 128*v/11 + 64/11 = 0. Calculate v.
1, 2, 4
Find t such that 5*t**4 + 35*t**3 + 55*t**2 + 25*t = 0.
-5, -1, 0
Factor -p**3/6 - 25*p**2/3 - 286*p/3 + 676/3.
-(p - 2)*(p + 26)**2/6
Factor -2*q**2/15 - 14*q/5 - 76/15.
-2*(q + 2)*(q + 19)/15
Factor -z**4 + 16*z**3 - 64*z**2.
-z**2*(z - 8)**2
Suppose 5*s**5 - 15*s**4 - 10*s**3 + 60*s**2 - 40*s = 0. What is s?
-2, 0, 1, 2
Factor -3*q**4 - 32652*q**3 - 133269138*q**2 - 241750216332*q - 164450584659843.
-3*(q + 2721)**4
Factor -3*m**4/5 + 9*m**3/5 + 18*m**2/5 - 24*m/5.
-3*m*(m - 4)*(m - 1)*(m + 2)/5
Factor 2*v**2/13 - 340*v/13 - 342/13.
2*(v - 171)*(v + 1)/13
Factor -2*c**3/5 - 54*c**2 + 2*c/5 + 54.
-2*(c - 1)*(c + 1)*(c + 135)/5
Determine u so that -5*u**2 - 10*u + 15 = 0.
-3, 1
Factor 3*c**4 + 36*c**3 + 27*c**2 - 66*c.
3*c*(c - 1)*(c + 2)*(c + 11)
Determine h so that 5*h**4 - 305*h**3 + 885*h**2 - 875*h + 290 = 0.
1, 58
Determine k so that 60*k**4 + 16*k**3 - 556*k**2 - 144*k + 144 = 0.
-3, -2/3, 2/5, 3
Factor -5*t**2 + 230*t + 235.
-5*(t - 47)*(t + 1)
Factor 3*m**3 + 627*m**2 + 31800*m - 101124.
3*(m - 3)*(m + 106)**2
Factor -o**5/2 + 24*o**4 - 525*o**3/2 - 625*o**2.
-o**2*(o - 25)**2*(o + 2)/2
What is j in 2*j**4/13 + 50*j**3/13 - 232*j**2/13 = 0?
-29, 0, 4
Solve -f**5/8 + 11*f**4/8 + f**3 - 49*f**2/2 - 56*f - 32 = 0.
-2, -1, 8
Determine p, given that -10*p**5 - 5*p**4 + 80*p**3 + 40*p**2 - 160*p - 80 = 0.
-2, -1/2, 2
Factor -2*y**2 - 230*y - 228.
-2*(y + 1)*(y + 114)
Let -3*t**2 + 6636*t - 3669708 = 0. What is t?
1106
What is i in 2*i**3 + 48*i**2 + 250*i + 204 = 0?
-17, -6, -1
Factor -5*c**4 - 100*c**3 - 415*c**2 - 620*c - 300.
-5*(c + 1)*(c + 2)**2*(c + 15)
Factor -5*v**4 + 85*v**3 + 90*v**2 - 4320*v - 4320.
-5*(v - 12)**2*(v + 1)*(v + 6)
Let 2*m**2/3 - 2*m - 20/3 = 0. Calculate m.
-2, 5
Suppose 3*x**3/8 + 87*x**2/8 - 2295*x/8 + 11421/8 = 0. What is x?
-47, 9
Factor -1620*d**3 + 18000*d**2 - 1985*d + 55.
-5*(d - 11)*(18*d - 1)**2
Suppose -7*d**5/2 + 19*d**4/2 - 4*d**3 - 2*d**2 = 0. What is d?
-2/7, 0, 1, 2
Factor i**2 + 94*i - 1760.
(i - 16)*(i + 110)
Find w such that -289*w**4/4 + 357*w**3/2 - 577*w**2/4 + 42*w - 4 = 0.
4/17, 1
Suppose -q**5/4 - q**4/4 + 17*q**3/2 - 31*q**2/2 - 33*q/4 + 63/4 = 0. What is q?
-7, -1, 1, 3
Factor -4*x**2 + 160*x - 700.
-4*(x - 35)*(x - 5)
Factor -4*w**2/13 - 14*w + 92/13.
-2*(w + 46)*(2*w - 1)/13
Determine x, given that -3*x**5 + 120*x**4 + 126*x**3 - 120*x**2 - 123*x = 0.
-1, 0, 1, 41
Factor -912*v**4 + 1820*v**3 - 904*v**2 - 4*v.
-4*v*(v - 1)**2*(228*v + 1)
Determine t so that -t**5 + 2*t**4 + 7*t**3 + 4*t**2 = 0.
-1, 0, 4
Solve p**5 - 4*p**4 - 8*p**3 + 32*p**2 + 16*p - 64 = 0 for p.
-2, 2, 4
Factor -3*k**2/5 - 348*k/5 - 10092/5.
-3*(k + 58)**2/5
Factor p**2/3 + 202*p/3 + 400/3.
(p + 2)*(p + 200)/3
Determine i so that 10*i**3/3 - 165*i**2 - 3055*i/3 + 550 = 0.
-6, 1/2, 55
Factor -3*s**3/5 + 153*s**2/5 - 2601*s/5 + 14739/5.
-3*(s - 17)**3/5
Let 2*n**5/3 - 8*n**4/3 - 6*n**3 + 64*n**2/3 + 56*n/3 - 32 = 0. Calculate n.
-2, 1, 3, 4
What is i in -2*i**2/7 + 6*i/7 + 36/7 = 0?
-3, 6
Let 3*m**5 - 75*m**4 + 366*m**3 - 438*m**2 - 369*m + 513 = 0. Calculate m.
-1, 1, 3, 19
Suppose -4*z**3 + 33*z**2 - 68*z + 15 = 0. Calculate z.
1/4, 3, 5
Factor -5*k**3 - 210*k**2 + 215*k.
-5*k*(k - 1)*(k + 43)
Solve -5*u**5 + 40*u**4 - 20*u**3 - 110*u**2 + 25*u + 70 = 0 for u.
-1, 1, 2, 7
Factor -t**2/10 - 7*t/10 + 3.
-(t - 3)*(t + 10)/10
Factor -4*d**2 - 12*d.
-4*d*(d + 3)
Factor 2*y**2/3 - 10*y.
2*y*(y - 15)/3
Determine o so that 2*o**4 + 10*o**3 - 198*o**2 + 702*o - 756 = 0.
-14, 3
Suppose -2*t**4 - 1874*t**3 - 5610*t**2 - 5606*t - 1868 = 0. Calculate t.
-934, -1
Determine n, given that -5*n**2 - 300*n - 4500 = 0.
-30
Find b such that 4*b**5/3 - 308*b**4/3 - 8*b**3/3 + 616*b**2/3 + 4*b/3 - 308/3 = 0.
-1, 1, 77
Factor 2*n**2/21 - 32*n/21 + 40/7.
2*(n - 10)*(n - 6)/21
Find l such that 327*l**4/2 - 3*l**3/2 - 981*l**2/2 + 663*l/2 - 3 = 0.
-2, 1/109, 1
Solve -b**3 - 45*b**2 - 86*b = 0.
-43, -2, 0
Let -6*l**4 - 100*l**3 - 456*l**2 - 816*l - 512 = 0. What is l?
-32/3, -2
Determine l so that 5*l**3 + 2950*l**2 + 435125*l = 0.
-295, 0
Factor -10*k**3 + 5*k**2 + 25*k + 10.
-5*(k - 2)*(k + 1)*(2*k + 1)
Let -4*h**5 - 236*h**4 - 3112*h**3 + 10792*h**2 - 11284*h + 3844 = 0. Calculate h.
-31, 1
Factor -p**5/3 + 6*p**4 - 86*p**3/3 - 56*p**2/3 + 245*p + 686/3.
-(p - 7)**3*(p + 1)*(p + 2)/3
Suppose -m**4/3 - 7*m**3/3 + 17*m**2/3 - 3*m = 0. Calculate m.
-9, 0, 1
Factor 69*u**4/5 + 27*u**3 - 6*u**2/5.
3*u**2*(u + 2)*(23*u - 1)/5
Determine f, given that 3*f**3/4 - 1323*f**2/4 - 5331*f/4 - 4005/4 = 0.
-3, -1, 445
Find o, given that -3*o**2 - 1101*o + 1104 = 0.
-368, 1
Factor z**3/3 + 5*z**2/3 - 148*z/3 - 308/3.
(z - 11)*(z + 2)*(z + 14)/3
Factor -v**5 - 255*v**4 + 771*v**3 - 773*v**2 + 258*v.
-v*(v - 1)**3*(v + 258)
Factor l**3 - 32*l**2 - 144*l.
l*(l - 36)*(l + 4)
Factor 2*p**3/11 - 10*p**2/11 - 46*p + 374.
2*(p - 11)**2*(p + 17)/11
Factor -3*w**3/4 - 21*w**2/4 - 9*w/2.
-3*w*(w + 1)*(w + 6)/4
What is k in 3*k**2 - 17298*k + 24935067 = 0?
2883
Factor w**3/2 - 7*w**2/10 + w/5.
w*(w - 1)*(5*w - 2)/10
Factor 4*t**2 - 100*t - 336.
4*(t - 28)*(t + 3)
Let -2*z**2/7 + 200*z/7 - 5000/7 = 0. What is z?
50
Find r, given that -r**3/4 - 31*r**2/4 - 67*r/2 - 26 = 0.
-26, -4, -1
Factor 2*q**2/9 + 2*q/3 + 4/9.
2*(q + 1)*(q + 2)/9
Let 2*n**4 + 5668*n**3/3 - 39742*n**2/9 + 30296*n/9 - 7576/9 = 0. Calculate n.
-947, 2/3, 1
Factor -5*u**3 + 1070*u**2 - 57245*u.
-5*u*(u - 107)**2
Find j such that 5*j**4 + 20*j**3 + 15*j**2 = 0.
-3, -1, 0
Factor -c**2 - 1626*c + 3256.
-(c - 2)*(c + 1628)
Let -2*d**3/5 - 15*d**2/2 + 387*d/10 - 46/5 = 0. What is d?
-23, 1/4, 4
Solve 3*j**3/5 - 1746*j**2/5 + 338724*j/5 - 21904152/5 = 0.
194
Factor 5*q**4 + 60*q**3 + 30*q**2 - 260*q + 165.
5*(q - 1)**2*(q + 3)*(q + 11)
Factor 9*z**2/2 - 1126*z + 250.
(z - 250)*(9*z - 2)/2
Solve 8*i**5 + 284*i**4 - 440*i**3 + 148*i**2 = 0 for i.
-37, 0, 1/2, 1
What is w in -2*w**4 - 94*w**3 - 1236*w**2 - 3080*w - 1936 = 0?
-22, -2, -1
Factor 12*u**3/7 + 44*u**2/7 - 80*u/7.
4*u*(u + 5)*(3*u - 4)/7
Factor -2*h**3/3 + 2*h**2 + 8*h/3 - 8.
-2*(h - 3)*(h - 2)*(h + 2)/3
Find d such that -15*d**3 - 89*d**2 - 102*d + 56 = 0.
-4, -7/3, 2/5
Determine a so that 3*a**5/2 + 33*a**4/2 + 57*a**3/2 + 27*a**2/2 = 0.
-9, -1, 0
Factor -o**3/3 + 19*o**2 - 105*o + 153.
-(o - 51)*(o - 3)**2/3
Factor 5*y**3 - 55*y**2.
5*y**2*(y - 11)
Determine k so that -845*k**3 + 2730*k**2 - 2205*k = 0.
0, 21/13
Find d such that 245*d**2 - 210*d + 45 = 0.
3/7
Let 4*r**3/5 + 48*r**2/5 + 4*r - 264/5 = 0. What i