3
Factor 4*a**2/5 - 16*a/5 + 16/5.
4*(a - 2)**2/5
Determine o, given that -5*o**2 + 55*o - 50 = 0.
1, 10
Factor 4*d**4 + 496*d**3 + 3244*d**2 - 3744*d.
4*d*(d - 1)*(d + 8)*(d + 117)
Factor -4*b**2 - 588*b + 1800.
-4*(b - 3)*(b + 150)
Factor -8000*c**4 - 118800*c**3 + 17940*c**2 - 899*c + 15.
-(c + 15)*(20*c - 1)**3
Factor 2*h**4 + 910*h**3 - 4586*h**2 + 6434*h - 2760.
2*(h - 3)*(h - 1)**2*(h + 460)
Factor -c**2/6 - 4*c/3 - 8/3.
-(c + 4)**2/6
Find z such that -3*z**4/4 - 27*z**3/4 - 21*z**2/4 + 27*z/4 + 6 = 0.
-8, -1, 1
Find q such that -q**4 + 74*q**3 - 1213*q**2 - 5772*q - 6084 = 0.
-2, 39
Find l, given that 2*l**4/7 - 2*l**3/7 - 26*l**2/7 + 2*l/7 + 24/7 = 0.
-3, -1, 1, 4
Find m such that 3*m**3/4 - 435*m**2/4 + 3996*m - 3888 = 0.
1, 72
Factor c**4 - 237*c**3 + 54729*c**2/4 + 42660*c + 32400.
(c - 120)**2*(2*c + 3)**2/4
Determine j so that -j**2/3 + j + 10/3 = 0.
-2, 5
Suppose -2*z**4/11 + 2*z**3 - 58*z**2/11 + 2*z/11 + 84/11 = 0. What is z?
-1, 2, 3, 7
Find g such that 3*g**5/5 + 6*g**4/5 + 3*g**3/5 = 0.
-1, 0
Let 2*u**4 + 14*u**3 - 20*u**2 - 32*u = 0. What is u?
-8, -1, 0, 2
Factor -5*r**4 - 115*r**3 + 5*r**2 + 115*r.
-5*r*(r - 1)*(r + 1)*(r + 23)
Factor -1551*t**3 - 1560*t**2 - 9*t.
-3*t*(t + 1)*(517*t + 3)
Factor -4*t**4 + 628*t**3 - 32436*t**2 + 528092*t + 1191016.
-4*(t - 53)**3*(t + 2)
Factor 2*l**2 + 26892*l + 90397458.
2*(l + 6723)**2
Find n such that 2*n**5 + 94*n**4 + 88*n**3 - 184*n**2 = 0.
-46, -2, 0, 1
Factor t**5 - 4*t**4 + 3*t**3 + 4*t**2 - 4*t.
t*(t - 2)**2*(t - 1)*(t + 1)
Factor -2*t**2 + 450*t + 1368.
-2*(t - 228)*(t + 3)
Factor 2*i**2/13 + 50*i/13 - 108/13.
2*(i - 2)*(i + 27)/13
Let 2*g**5 + 18*g**4 - 24*g**3 - 40*g**2 = 0. What is g?
-10, -1, 0, 2
Factor -4*o**3 + 128*o**2 - 464*o + 448.
-4*(o - 28)*(o - 2)**2
Let m**4 - 424*m**3 + 44944*m**2 = 0. Calculate m.
0, 212
Factor l**3/5 - 238*l**2/5 + 188*l - 936/5.
(l - 234)*(l - 2)**2/5
Find z, given that -2*z**5 - 12*z**4 + 32*z**3 - 4*z**2 - 30*z + 16 = 0.
-8, -1, 1
Suppose -4913*c**3 - 8670*c**2 - 5100*c - 1000 = 0. What is c?
-10/17
Factor -18*g**2 - 411*g + 69.
-3*(g + 23)*(6*g - 1)
Find i, given that 19*i**3/7 + 2624*i**2/7 + 90735*i/7 + 9522/7 = 0.
-69, -2/19
Factor -5*v**2 - 3790*v - 718205.
-5*(v + 379)**2
Determine j so that j**2/3 + 13*j + 36 = 0.
-36, -3
Factor 2*k**2/7 + 474*k/7.
2*k*(k + 237)/7
Find z such that -9*z**3/2 + 213*z**2 + 144*z = 0.
-2/3, 0, 48
Let -4*h**3 - 132*h**2 - 956*h - 828 = 0. What is h?
-23, -9, -1
Factor -3*a**2 + 660*a - 36300.
-3*(a - 110)**2
Factor 3*f**2/5 - 78*f/5 + 264/5.
3*(f - 22)*(f - 4)/5
Find n, given that 2*n**3/5 - 42*n**2 + 5814*n/5 - 15606/5 = 0.
3, 51
Let -2*y**2 - 464*y - 26912 = 0. What is y?
-116
Factor -42*i**2/13 - 6430*i/13 - 612/13.
-2*(i + 153)*(21*i + 2)/13
Suppose -t**4/2 + 129*t**3/2 + 540*t**2 + 1096*t = 0. Calculate t.
-4, 0, 137
Factor 5*s**3 + 55*s**2 - 225*s - 2835.
5*(s - 7)*(s + 9)**2
Determine d so that 6*d**4/7 - 6*d**2/7 = 0.
-1, 0, 1
Factor -82*s**2/13 - 168*s/13 - 8/13.
-2*(s + 2)*(41*s + 2)/13
Factor r**5/3 + 7*r**4/3 + r**3 - 31*r**2/3 + 20*r/3.
r*(r - 1)**2*(r + 4)*(r + 5)/3
Factor -7605*d**2 + 1950*d - 125.
-5*(39*d - 5)**2
Let 2*l**4/3 - 16*l**3/3 - 6*l**2 + 72*l + 72 = 0. What is l?
-3, -1, 6
Factor -4*f**3/7 + 488*f**2.
-4*f**2*(f - 854)/7
Factor -47*c**2 - 13*c.
-c*(47*c + 13)
Let -20*n**2 + 6988*n - 2792 = 0. Calculate n.
2/5, 349
Factor -2*n**3/5 + 376*n**2/5 - 744*n/5.
-2*n*(n - 186)*(n - 2)/5
Suppose -6*f**2/11 + 324*f/11 - 624/11 = 0. What is f?
2, 52
Find c such that 320*c**3 + 720*c**2 - 675*c + 135 = 0.
-3, 3/8
Factor 4*n**2 + 24080*n - 24084.
4*(n - 1)*(n + 6021)
Solve 2*v**2 - 2232*v + 4456 = 0.
2, 1114
Determine x so that -2*x**5/7 + 76*x**4/7 + 78*x**3/7 = 0.
-1, 0, 39
Find f, given that 4*f**4/9 + 34*f**3/9 + 74*f**2/9 + 14*f/9 - 10/3 = 0.
-5, -3, -1, 1/2
Suppose -y**5 - 10*y**4 - 18*y**3 + 28*y**2 + 43*y - 42 = 0. Calculate y.
-7, -3, -2, 1
Factor 2*h**3/7 - 850*h**2/7 - 1706*h/7 - 122.
2*(h - 427)*(h + 1)**2/7
Factor u**3 + 11*u**2 - 350*u.
u*(u - 14)*(u + 25)
What is v in -v**4 - 16*v**3 - 87*v**2 - 180*v - 108 = 0?
-6, -3, -1
Factor 2*s**2/13 + 362*s/13 - 28.
2*(s - 1)*(s + 182)/13
Factor -27*l**4 - 129*l**3 + 30*l**2.
-3*l**2*(l + 5)*(9*l - 2)
Factor -16*u**3 + 388*u**2 - 464*u + 92.
-4*(u - 23)*(u - 1)*(4*u - 1)
Find u, given that -2*u**4/3 + 38*u**3/3 - 34*u**2/3 - 38*u/3 + 12 = 0.
-1, 1, 18
Solve 5*b**3 + 80*b**2 + 205*b + 130 = 0.
-13, -2, -1
Solve -243*m**4/2 - 45522*m**3 - 6395841*m**2 - 399384738*m - 18704518563/2 = 0 for m.
-281/3
Factor -3*c**2/2 + 2040*c - 693600.
-3*(c - 680)**2/2
Factor 4*b**2 - 28*b - 176.
4*(b - 11)*(b + 4)
Suppose 2*d**5 + 34*d**4 + 98*d**3 - 98*d**2 - 244*d + 208 = 0. What is d?
-13, -4, -2, 1
Factor 2*k**5/13 + 16*k**4/13 + 44*k**3/13 + 48*k**2/13 + 18*k/13.
2*k*(k + 1)**2*(k + 3)**2/13
What is u in -u**3/5 + 6*u**2/5 - u = 0?
0, 1, 5
Find u such that 3*u**5/4 - 12*u**4 + 81*u**3/2 - 57*u**2 + 147*u/4 - 9 = 0.
1, 12
Let w**3/5 + 71*w**2/5 - 297*w/5 + 45 = 0. What is w?
-75, 1, 3
Solve 24*n**3/11 + 3774*n**2/11 - 2850*n/11 - 948/11 = 0 for n.
-158, -1/4, 1
Factor 2*i**3 - 14*i**2 - 56*i - 40.
2*(i - 10)*(i + 1)*(i + 2)
Factor -5*j**2 - 630*j - 19845.
-5*(j + 63)**2
Solve 2*x**2 - 16*x/3 + 8/3 = 0.
2/3, 2
Solve -4*t**5 + 60*t**4 - 44*t**3 - 188*t**2 + 288*t - 112 = 0.
-2, 1, 14
What is d in 3*d**2/4 - 10395*d + 36018675 = 0?
6930
Factor 2*q**3/5 - 378*q**2/5 + 20064*q/5 - 201344/5.
2*(q - 88)**2*(q - 13)/5
Solve -2*a**3/5 + 14*a**2/5 - 8*a/5 - 24/5 = 0 for a.
-1, 2, 6
Factor -3*n**3/8 - 39*n**2/8 - 33*n/4.
-3*n*(n + 2)*(n + 11)/8
Let 363*r**4/4 + 495*r**3/4 - 1053*r**2 - 393*r - 36 = 0. What is r?
-4, -2/11, 3
Find b such that 3*b**3/2 + 45*b**2 + 819*b/2 + 1014 = 0.
-13, -4
Suppose -d**3/2 + 9*d**2/2 - 9*d = 0. Calculate d.
0, 3, 6
Find n, given that n**2/4 - 3741*n/4 + 935 = 0.
1, 3740
Solve 12*r**5/5 - 33*r**4/5 + 18*r**3/5 + 24*r**2/5 - 6*r + 9/5 = 0 for r.
-1, 3/4, 1
Solve 51*v**2/7 + 414*v/7 + 48/7 = 0 for v.
-8, -2/17
Solve -3*w**2 + 21*w + 90 = 0.
-3, 10
Determine d so that -d**2 - 595*d - 594 = 0.
-594, -1
Factor -q**4/2 - 128*q**3 - 9216*q**2 + 14155776.
-(q - 32)*(q + 96)**3/2
Solve -2*o**3/3 - 10*o**2/3 - 16*o/3 - 8/3 = 0.
-2, -1
Factor -8*j**2 + 1580*j - 788.
-4*(j - 197)*(2*j - 1)
Determine q, given that -5*q**5 + 60*q**4 + 5*q**3 - 60*q**2 = 0.
-1, 0, 1, 12
Find k, given that -6*k**5 - 56*k**4 - 134*k**3 - 4*k**2 + 80*k = 0.
-5, -4, -1, 0, 2/3
Determine s so that -4*s**2/3 + 8*s/3 + 20 = 0.
-3, 5
Factor p**4 - 25*p**3 + 225*p**2 - 875*p + 1250.
(p - 10)*(p - 5)**3
Factor -5*g**3 - 300*g**2 - 5460*g - 27040.
-5*(g + 8)*(g + 26)**2
Factor a**3 + 5*a**2 - 13*a + 7.
(a - 1)**2*(a + 7)
Factor -3*o**5 + 12*o**3 - 6*o**2 - 9*o + 6.
-3*(o - 1)**3*(o + 1)*(o + 2)
Determine c, given that -4*c**3 + 220*c**2 - 208*c - 432 = 0.
-1, 2, 54
Find q such that -2*q**5 + 14*q**4 - 26*q**3 + 2*q**2 + 28*q - 16 = 0.
-1, 1, 2, 4
Find y, given that -4*y**2/7 - 58*y/7 + 96/7 = 0.
-16, 3/2
Suppose -k**3/5 - 41*k**2 + 622*k/5 - 416/5 = 0. What is k?
-208, 1, 2
Factor -2*c**2 + 82*c + 172.
-2*(c - 43)*(c + 2)
Factor -3*k**2 + 9*k + 12.
-3*(k - 4)*(k + 1)
Let -l**2 - 32*l - 256 = 0. What is l?
-16
Determine g so that -2*g**5/9 + 4*g**4/3 + 20*g**3/9 - 32*g**2/9 - 22*g/3 - 28/9 = 0.
-1, 2, 7
Factor -c**4 + 116*c**3 - 1878*c**2 + 3412*c - 1649.
-(c - 97)*(c - 17)*(c - 1)**2
Factor x**5 + 4*x**4 - 2*x**3 - 8*x**2 + x + 4.
(x - 1)**2*(x + 1)**2*(x + 4)
Factor 2*r**3 - 120*r**2 - 1874*r - 1752.
2*(r - 73)*(r + 1)*(r + 12)
Suppose 3*f**5 + 105*f**4 + 381*f**3 + 267*f**2 - 384*f - 372 = 0. What is f?
-31, -2, -1, 1
Determine o so that -60*o**5 + 2199*o**4 - 1350*o**3 - 1983*o**2 + 1410*o - 216 = 0.
-1, 1/4, 2/5, 1, 36
Suppose -276*p**4 + 8*p**3 + 276*p**2 - 8*p = 0. What is p?
-1, 0, 2/69, 1
Let 3*y**2/7 - 4866*y/7 + 1973163/7 = 0. Calculate y.
811
What is o in -2*o**4/3 - 28*o**3/3 - 46*o**2 - 280*o/3 - 200/3 = 0?
-5, -2
Determine z, given that -z**2/10 + 3*z/10 + 9/5 = 0.
-3, 6
Find v, given that -4*v**3 - 272*v**2 + 16*v + 1088 = 0.
-68, -2, 2
Let 3*l**4/4 + 27*l**3/4 + 63*l**2/4 + 57*l/4 + 9/2 = 0. Calculate l.
-6, -1
Factor -5*c**5 - 220*c**4 - 2190*c**3 + 5060*c**2 - 2645*c.
-5*c*(c - 1)**2*(c + 23)**2
Determine k so that k**3 + 16*k**2 - 741*k - 756 = 0