Determine a so that 3*a**4/4 + 4*a**3 + 15*a**2/4 - 3*a/2 - 2 = 0.
-4, -1, 2/3
Factor 3*t**5 - 156*t**4 - 654*t**3 - 996*t**2 - 669*t - 168.
3*(t - 56)*(t + 1)**4
Suppose -2*o**2 + 6740*o - 5678450 = 0. Calculate o.
1685
Factor 12*i**2 + 2284*i + 760.
4*(i + 190)*(3*i + 1)
Factor -2*v**2 - 38*v - 120.
-2*(v + 4)*(v + 15)
Find k, given that -4*k**5 + 8*k**4 + 7*k**3 - 17*k**2 - 3*k + 9 = 0.
-1, 1, 3/2
Determine a, given that a**2 + 36*a + 99 = 0.
-33, -3
Factor 3*m**3 - 36*m**2 + 123*m - 90.
3*(m - 6)*(m - 5)*(m - 1)
Find p, given that 45*p**5/4 + 5*p**4/2 - 135*p**3/2 - 105*p**2 - 215*p/4 - 15/2 = 0.
-1, -2/9, 3
Solve s**5 + 11*s**4 + 43*s**3 + 69*s**2 + 36*s = 0 for s.
-4, -3, -1, 0
Factor 4*m**5 - 16*m**4 - 12*m**3 + 40*m**2 + 32*m.
4*m*(m - 4)*(m - 2)*(m + 1)**2
Suppose f**2/8 + 11*f/8 = 0. Calculate f.
-11, 0
Factor -v**4/5 + 18*v**3/5 + 73*v**2/5 - 42*v.
-v*(v - 21)*(v - 2)*(v + 5)/5
Factor i**3/2 - 23*i**2/2 + i + 220.
(i - 22)*(i - 5)*(i + 4)/2
Determine v so that -3*v**2/2 - 31*v/2 + 11 = 0.
-11, 2/3
What is x in 50*x**4 + 178*x**3 + 206*x**2 + 78*x = 0?
-39/25, -1, 0
Factor 8*t**3 - 704*t**2 + 698*t - 174.
2*(t - 87)*(2*t - 1)**2
Suppose -3*z**3 + 51*z**2 + 843*z - 891 = 0. Calculate z.
-11, 1, 27
Factor 5*s**2 - 7630*s.
5*s*(s - 1526)
Solve -4*v**3 + 92*v**2 - 224*v - 320 = 0 for v.
-1, 4, 20
What is n in 3*n**2 - 264*n + 261 = 0?
1, 87
Determine w, given that -3*w**4 - 36*w**3 - 60*w**2 = 0.
-10, -2, 0
Suppose 8*w**3/11 + 296*w**2/11 + 290*w/11 + 72/11 = 0. Calculate w.
-36, -1/2
Determine u, given that -u**5/2 + 3*u**4 - 13*u**3/2 + 6*u**2 - 2*u = 0.
0, 1, 2
Find k such that -4*k**5/5 - 29*k**4/5 - 27*k**3/5 + 23*k**2/5 + 31*k/5 + 6/5 = 0.
-6, -1, -1/4, 1
What is z in z**4/6 + 35*z**3/6 - 13*z**2 - 70*z/3 + 148/3 = 0?
-37, -2, 2
Determine y so that -14*y**5/11 - 30*y**4/11 + 10*y**3/11 + 30*y**2/11 + 4*y/11 = 0.
-2, -1, -1/7, 0, 1
Factor -86*p**3 - 260*p**2 - 178*p - 4.
-2*(p + 1)*(p + 2)*(43*p + 1)
Find r such that 5*r**3 + 20*r**2 - 205*r + 180 = 0.
-9, 1, 4
Suppose 2*q**4 - 34*q**3 - 114*q**2 - 118*q - 40 = 0. What is q?
-1, 20
Find c such that -c**3/3 - 10*c**2/3 - 23*c/3 - 14/3 = 0.
-7, -2, -1
Find y, given that 4*y**4 - 524*y**3 - 4*y**2 + 524*y = 0.
-1, 0, 1, 131
Solve -2*s**3/9 - 32*s**2/9 + 8*s = 0 for s.
-18, 0, 2
Determine f so that 5*f**3 + 1730*f**2 + 5155*f + 3430 = 0.
-343, -2, -1
Factor -15*g**3 + 3*g**2 + 42*g + 24.
-3*(g - 2)*(g + 1)*(5*g + 4)
Solve 54756*w**2 + 23400*w + 2500 = 0 for w.
-25/117
Factor 2*x**2 - 6*x - 36.
2*(x - 6)*(x + 3)
What is m in -33*m**5 - 204*m**4 + 195*m**3 + 42*m**2 = 0?
-7, -2/11, 0, 1
What is c in -3*c**2 - 414*c - 14283 = 0?
-69
Find o, given that 6*o**3 + 410*o**2/3 + 304*o/3 - 88/3 = 0.
-22, -1, 2/9
Factor 74*f**2/15 - 168*f + 136/15.
2*(f - 34)*(37*f - 2)/15
Factor 2*g**2/7 + 16*g.
2*g*(g + 56)/7
Factor -2*c**2/7 - 6*c/7.
-2*c*(c + 3)/7
Find d such that -5*d**2 + 98030*d - 480494045 = 0.
9803
Determine y, given that 4*y**5 - 8*y**4 - 108*y**3 + 16*y**2 + 304*y + 192 = 0.
-4, -1, 2, 6
Factor j**3/4 - 29*j**2/4 + 73*j/2 - 46.
(j - 23)*(j - 4)*(j - 2)/4
Suppose -k**2 - 4*k - 3 = 0. Calculate k.
-3, -1
Find h such that 2*h**5/3 + 12*h**4 + 22*h**3 + 32*h**2/3 = 0.
-16, -1, 0
Factor j**3/8 + j**2/4 + j/8.
j*(j + 1)**2/8
Factor 2*r**5/7 - 24*r**4/7 + 82*r**3/7 - 76*r**2/7 - 72*r/7 + 16.
2*(r - 7)*(r - 2)**3*(r + 1)/7
Factor u**3/6 + u**2/2 + u/2 + 1/6.
(u + 1)**3/6
Factor 15*q**2/8 + 847*q/8 + 49.
(q + 56)*(15*q + 7)/8
Solve -2*i**2/7 - 32*i/7 - 78/7 = 0.
-13, -3
Factor -2*q**4 - 42*q**3 + 390*q**2 + 13858*q + 79092.
-2*(q - 18)*(q + 13)**3
Factor 4*q**3 + 9804*q**2 + 8009868*q + 2181354052.
4*(q + 817)**3
Factor -27*x**4/2 - 3219*x**3 - 1155613*x**2/6 - 255374*x/3 - 28322/3.
-(x + 119)**2*(9*x + 2)**2/6
Solve 3*h**2 + 1020*h + 86700 = 0 for h.
-170
Determine o so that -4*o**5 - 728*o**4 - 34544*o**3 - 128872*o**2 - 95052*o = 0.
-89, -3, -1, 0
Factor 4*f**4 - 36*f**3 - 332*f**2 + 756*f - 392.
4*(f - 14)*(f - 1)**2*(f + 7)
Let -r**2/2 - 20*r = 0. What is r?
-40, 0
Factor m**3/7 + 5*m**2/7 - 8*m - 60/7.
(m - 6)*(m + 1)*(m + 10)/7
Find b, given that -3*b**2/2 - 24*b - 117/2 = 0.
-13, -3
Factor 4*b**3/9 + 4*b**2/3 + 8*b/9.
4*b*(b + 1)*(b + 2)/9
Factor 3*p**4 + 420*p**3 - 852*p**2.
3*p**2*(p - 2)*(p + 142)
Find u, given that 4*u**2 - 576*u + 1692 = 0.
3, 141
Find z, given that 45*z**5 - 600*z**4 + 2360*z**3 - 2400*z**2 + 720*z = 0.
0, 2/3, 6
What is y in -y**2/9 + 4513*y/9 + 4514/9 = 0?
-1, 4514
Factor -2*g**4 + 2*g**3 + 8*g**2 - 8*g.
-2*g*(g - 2)*(g - 1)*(g + 2)
Factor 3*d**2 - 291*d - 294.
3*(d - 98)*(d + 1)
Solve 4*m**5 + 623*m**4 + 460*m**3 - 778*m**2 - 464*m + 155 = 0 for m.
-155, -1, 1/4, 1
Factor 4*x**3 - 448*x**2 + 12980*x - 24200.
4*(x - 55)**2*(x - 2)
Factor s**4/7 + s**3/7 - s**2/7 - s/7.
s*(s - 1)*(s + 1)**2/7
Suppose 3*b**5 + 672*b**4 + 49260*b**3 + 1111728*b**2 - 5059776*b + 5267712 = 0. What is b?
-76, 2
Find m, given that 10*m**3 - 345*m**2 - 550*m + 360 = 0.
-2, 1/2, 36
Determine v so that -2*v**2/9 + 22*v/9 + 28/3 = 0.
-3, 14
Suppose 2*r**2/3 + 328*r - 1976/3 = 0. What is r?
-494, 2
Factor 9*s**3/7 - 164*s**2/7 + 324*s/7 - 64/7.
(s - 16)*(s - 2)*(9*s - 2)/7
Factor -2*h**3 - 120*h**2 + 2376*h - 4256.
-2*(h - 14)*(h - 2)*(h + 76)
Suppose -2*y**2 - 516*y - 3024 = 0. Calculate y.
-252, -6
Factor 4*u**2 - 4828*u + 9640.
4*(u - 1205)*(u - 2)
Factor -3*w**4 + 33*w**3 - 57*w**2 + 27*w.
-3*w*(w - 9)*(w - 1)**2
Determine h so that -2*h**2/23 - 102*h/23 + 212/23 = 0.
-53, 2
Suppose -2*v**5/9 + 40*v**4/9 - 64*v**3/3 + 356*v**2/9 - 286*v/9 + 28/3 = 0. What is v?
1, 3, 14
Suppose 97*c**2/2 + c = 0. What is c?
-2/97, 0
Factor o**3 - 71*o**2 - 145*o - 73.
(o - 73)*(o + 1)**2
Find d such that 3*d**3/4 - 411*d**2/2 + 56307*d/4 = 0.
0, 137
Factor 2*b**4/13 - 24*b**2/13 - 32*b/13.
2*b*(b - 4)*(b + 2)**2/13
Let 2*o**5/19 + 4*o**4/19 - 2*o**3/19 - 4*o**2/19 = 0. Calculate o.
-2, -1, 0, 1
Factor z**2/3 - 791*z/3 - 264.
(z - 792)*(z + 1)/3
Let -65*s**4 - 10*s**3 + 780*s**2 - 920*s - 160 = 0. Calculate s.
-4, -2/13, 2
Find l such that 3*l**4 + 284*l**3 - 385*l**2 - 94*l + 192 = 0.
-96, -2/3, 1
Factor d**2 + 23*d + 76.
(d + 4)*(d + 19)
Factor 4*f**3 - 252*f**2 + 248*f.
4*f*(f - 62)*(f - 1)
Factor q**4 - 2*q**3 - 3*q**2.
q**2*(q - 3)*(q + 1)
Suppose 3*b**2 + 42*b + 135 = 0. Calculate b.
-9, -5
Determine m, given that 3*m**2 + 69*m + 126 = 0.
-21, -2
Factor 9*d**3 + 30*d**2 + 28*d + 8.
(d + 2)*(3*d + 2)**2
What is j in 3*j**4 + 129*j**3 + 249*j**2 + 123*j = 0?
-41, -1, 0
Let t**2/5 - 47*t/5 + 46/5 = 0. What is t?
1, 46
Suppose b**5/5 - b**4/5 - 12*b**3/5 + 28*b**2/5 - 16*b/5 = 0. What is b?
-4, 0, 1, 2
Factor -5*o**4/4 - 13*o**3/4 - 3*o**2/2.
-o**2*(o + 2)*(5*o + 3)/4
Factor -3*p**3 + 90*p**2 - 87*p.
-3*p*(p - 29)*(p - 1)
Factor o**3 - 3*o**2 - 10*o.
o*(o - 5)*(o + 2)
Let -4*x**4 + 120*x**3 - 1188*x**2 + 3872*x = 0. What is x?
0, 8, 11
Factor 2*w**4 - 18*w**3 - 24*w**2 + 40*w.
2*w*(w - 10)*(w - 1)*(w + 2)
Suppose -i**4 + 14*i**3 + 67*i**2 + 88*i + 36 = 0. Calculate i.
-2, -1, 18
Find b, given that 2*b**2 - 34*b = 0.
0, 17
Factor -2*c**2 + 36*c.
-2*c*(c - 18)
Determine a so that 22*a**2/3 + 268*a/3 + 16 = 0.
-12, -2/11
Determine s so that -3*s**4/4 - 207*s**3/4 + 1827*s**2/4 - 1617*s/4 = 0.
-77, 0, 1, 7
Suppose 5*u**3 + 285*u**2 - 290*u = 0. Calculate u.
-58, 0, 1
Factor 3*h**3 + 8*h**2 - 5*h - 6.
(h - 1)*(h + 3)*(3*h + 2)
Determine n, given that -5*n**2 + 28950*n - 41905125 = 0.
2895
Factor -4*c**2 - 13250*c - 6624.
-2*(c + 3312)*(2*c + 1)
Let 2*t**4/5 - 12*t**3/5 + 18*t**2/5 = 0. Calculate t.
0, 3
What is w in -w**4/4 - 55*w**3/2 - 3697*w**2/4 - 9240*w - 28224 = 0?
-48, -7
Let z**4/3 - 8*z**3/3 + 14*z**2/3 + 8*z/3 - 5 = 0. Calculate z.
-1, 1, 3, 5
Find r, given that 3*r**5/2 + 45*r**4/2 - 3*r**3/2 - 45*r**2/2 = 0.
-15, -1, 0, 1
Let -4*n**5 + 12*n**4 + 24*n**3 - 32*n**2 = 0. What is n?
-2, 0, 1, 4
Factor 42436*j**3 - 39140*j**2 - 3232*j - 64.
4*(j - 1)*(103*j + 4)**2
Determine z so that -4*z**2 + 28*z - 48 = 0.
3, 4
Suppose -3*m**4/7 + 3*m**3 + 90*m**2/7 + 12*m/7 - 120/7 = 0. What is m?
-2, 1, 10
Factor 8*c**2/3 + 2*c.
2*c*(4*c + 3)/3
Let 5*x**3 - 60*x**2 - 95*x + 390 = 0. What is x?
-3, 2, 13
Factor -21*l**4 + 141*l**3 + 420*l**2 + 108*l.
-3*l*(l - 9)*(l + 2)*(7*l + 2)
Find y such that -27*y**5/8 