/4 + 815/2 = 0.
-163, -2
Determine b so that -18*b**4 + 690*b**3 + 1186*b**2 + 558*b + 80 = 0.
-1, -1/3, 40
Solve -2*n**2 - 18*n - 36 = 0 for n.
-6, -3
Factor 3*v**3/4 + 3*v**2/2 - 3*v - 6.
3*(v - 2)*(v + 2)**2/4
Factor 3*c**2/7 - 24*c - 348/7.
3*(c - 58)*(c + 2)/7
Find j, given that -2*j**4/9 - 14*j**3/9 - 22*j**2/9 - 10*j/9 = 0.
-5, -1, 0
Factor -t**2/2 - 25*t/2 + 27.
-(t - 2)*(t + 27)/2
Factor -2*m**4/7 + 148*m**3/7 + 1440*m**2/7 + 4428*m/7 + 4482/7.
-2*(m - 83)*(m + 3)**3/7
Determine x, given that 16*x**5/7 + 20*x**4 + 92*x**3/7 - 32*x**2/7 = 0.
-8, -1, 0, 1/4
What is c in -125*c**5 + 550*c**4 + 495*c**3 - 2020*c**2 - 2800*c - 960 = 0?
-1, -4/5, 3, 4
Suppose -4*w**2 - 5840*w - 2131600 = 0. Calculate w.
-730
Factor -250*o**3/11 + 4*o**2/11.
-2*o**2*(125*o - 2)/11
Solve 5*v**2 - 735*v - 2250 = 0.
-3, 150
Factor -3*h**2/2 - 162*h.
-3*h*(h + 108)/2
Factor 4*j**2 + 16*j + 12.
4*(j + 1)*(j + 3)
Suppose 3*n**3 + n**2 - 12*n - 4 = 0. What is n?
-2, -1/3, 2
Find o such that -2*o**4/3 + 62*o**3/3 - 448*o**2/3 - 512*o/3 = 0.
-1, 0, 16
Factor -4*o**5 + 24*o**4 - 8*o**3 - 80*o**2 + 108*o - 40.
-4*(o - 5)*(o - 1)**3*(o + 2)
Solve 27*x**3 - 3489*x**2 - 2736*x + 780 = 0.
-1, 2/9, 130
Factor 2*b**4 + 32*b**3 + 156*b**2 + 224*b + 98.
2*(b + 1)**2*(b + 7)**2
Factor 10*m**2 - 114*m + 44.
2*(m - 11)*(5*m - 2)
Find b such that b**2/5 - 23*b/5 + 12 = 0.
3, 20
Factor -w**3/3 - 34*w**2/3.
-w**2*(w + 34)/3
Find l, given that l**3 - 83*l**2 = 0.
0, 83
Factor -4*y**5 + 744*y**4 - 34596*y**3.
-4*y**3*(y - 93)**2
Factor 4*p**4 - 76*p**3 - 84*p**2 + 76*p + 80.
4*(p - 20)*(p - 1)*(p + 1)**2
Factor 2*u**2/7 + 172*u/7 + 810/7.
2*(u + 5)*(u + 81)/7
Determine c, given that -5*c**5 - 60*c**4 - 130*c**3 + 60*c**2 + 135*c = 0.
-9, -3, -1, 0, 1
Suppose u**2/2 + 79*u/2 + 114 = 0. What is u?
-76, -3
Let -3*w**2 - 48*w - 192 = 0. Calculate w.
-8
Factor -j**5 + 10*j**4 + 12*j**3 - 266*j**2 + 245*j.
-j*(j - 7)**2*(j - 1)*(j + 5)
Factor -4*u**3 - 16*u**2 + 76*u - 56.
-4*(u - 2)*(u - 1)*(u + 7)
Factor 3*x**5/5 - 36*x**4/5 + 33*x**3/5.
3*x**3*(x - 11)*(x - 1)/5
Suppose -n**3/7 + 71*n**2/7 - 10*n = 0. Calculate n.
0, 1, 70
Determine y, given that y**2/4 + 14*y + 196 = 0.
-28
Factor 2*d**2 + 16*d + 14.
2*(d + 1)*(d + 7)
Factor g**4/2 + 3*g**3/2 - 3*g**2/2 - 7*g/2 + 3.
(g - 1)**2*(g + 2)*(g + 3)/2
Factor -h**5 + h**4 + 10*h**3 + 8*h**2.
-h**2*(h - 4)*(h + 1)*(h + 2)
What is b in 3*b**2 + 489*b - 492 = 0?
-164, 1
Let -3*v**5/4 - 243*v**4/4 + 249*v**3/4 + 243*v**2/4 - 123*v/2 = 0. Calculate v.
-82, -1, 0, 1
Let -11*i**2 + 1145*i - 104 = 0. Calculate i.
1/11, 104
Suppose -2*x**4/5 + 14*x**3 - 474*x**2/5 - 2926*x/5 + 1444 = 0. What is x?
-5, 2, 19
Factor 25*u**2 - 77*u + 6.
(u - 3)*(25*u - 2)
Factor -x**4/4 - x**3/2 - x**2/4.
-x**2*(x + 1)**2/4
Suppose -195*y**5/2 - 425*y**4/2 + 235*y**3/2 + 645*y**2/2 - 20*y - 110 = 0. What is y?
-2, -1, -11/13, 2/3, 1
Factor h**4/5 + 1052*h**3/5 + 275622*h**2/5 - 554404*h/5 + 277729/5.
(h - 1)**2*(h + 527)**2/5
Factor -4*b**4 + 92*b**3 - 316*b**2 + 228*b.
-4*b*(b - 19)*(b - 3)*(b - 1)
Suppose -5*v**5 - 85*v**4 - 530*v**3 - 1530*v**2 - 2025*v - 945 = 0. What is v?
-7, -3, -1
Let 4*g**2/5 - 6648*g/5 + 2762244/5 = 0. What is g?
831
Suppose -25*r**5 + 105*r**4 - 54*r**3 - 100*r**2 - 24*r = 0. What is r?
-2/5, 0, 2, 3
Let -2*c**3 - 106*c**2 - 1350*c + 1458 = 0. Calculate c.
-27, 1
Determine h so that 2*h**2 - 252*h + 7938 = 0.
63
Determine s so that -138*s**2 - 410*s + 12 = 0.
-3, 2/69
Find k, given that 4*k**2 + 480*k + 1404 = 0.
-117, -3
Suppose 5*o**2 + 1690*o + 142805 = 0. Calculate o.
-169
Factor -21*w**3 + 111*w**2 - 30*w.
-3*w*(w - 5)*(7*w - 2)
Factor 3*h**4 - 498*h**3 + 27720*h**2 - 526350*h + 499125.
3*(h - 55)**3*(h - 1)
Let -d**4 + 613*d**3 - 125460*d**2 + 8614512*d - 8489664 = 0. Calculate d.
1, 204
Suppose -48*f**5 - 172*f**4 + 982*f**3 - 1098*f**2 + 440*f - 56 = 0. Calculate f.
-7, 1/4, 1/2, 2/3, 2
Suppose -5*m**5 + 80*m**3 + 30*m**2 - 315*m - 270 = 0. Calculate m.
-3, -2, -1, 3
What is y in -882*y**4 - 1218*y**3 + 1396*y**2 + 640*y + 64 = 0?
-2, -4/21, 1
Factor -s**4/2 + 3*s**3/2 + 72*s**2 - 416*s.
-s*(s - 8)**2*(s + 13)/2
Determine r, given that -3*r**2/2 - 90*r + 186 = 0.
-62, 2
Factor 3*n**3/2 + 651*n**2/2 + 1281*n/2 - 1935/2.
3*(n - 1)*(n + 3)*(n + 215)/2
Factor -2*c**5/19 + 10*c**4/19 - 18*c**3/19 + 14*c**2/19 - 4*c/19.
-2*c*(c - 2)*(c - 1)**3/19
Factor -180*b**2 + 75*b - 5.
-5*(3*b - 1)*(12*b - 1)
Factor -2*o**2/9 - 34*o/9 - 28/3.
-2*(o + 3)*(o + 14)/9
Factor q**5/8 - q**4/8 - 3*q**3/8 + 5*q**2/8 - q/4.
q*(q - 1)**3*(q + 2)/8
Suppose h**2/6 + 44*h + 261/2 = 0. Calculate h.
-261, -3
Factor 3*f**4 - 6*f**3 - 147*f**2 + 294*f.
3*f*(f - 7)*(f - 2)*(f + 7)
Factor -4*v**3 - 108*v**2 - 188*v + 300.
-4*(v - 1)*(v + 3)*(v + 25)
Let 24*k**4/7 + 130*k**3/7 + 242*k**2/7 + 176*k/7 + 40/7 = 0. What is k?
-2, -1, -5/12
Solve -33*o**5 - 87*o**4 - 63*o**3 + 3*o**2 + 12*o = 0 for o.
-1, 0, 4/11
Find f such that 3*f**5/4 - 9*f**4/4 - 15*f**3/4 + 9*f**2/4 + 3*f = 0.
-1, 0, 1, 4
Suppose -5*j**3/4 - 45*j**2/4 + 5*j/4 + 45/4 = 0. Calculate j.
-9, -1, 1
Let -5*q**3 - 190*q**2 + 825*q - 630 = 0. Calculate q.
-42, 1, 3
Determine t, given that -5*t**4 - 15*t**3 + 70*t**2 + 240*t + 160 = 0.
-4, -2, -1, 4
Factor 3*m**3 + 12*m**2 - 105*m - 450.
3*(m - 6)*(m + 5)**2
Factor 2*c**4/5 - 24*c**3/5 + 104*c**2/5 - 192*c/5 + 128/5.
2*(c - 4)**2*(c - 2)**2/5
Suppose o**4/2 + 19*o**3/2 + 33*o**2/2 - 19*o/2 - 17 = 0. What is o?
-17, -2, -1, 1
Suppose -z**4 + 24*z**3 - 66*z**2 + 64*z - 21 = 0. What is z?
1, 21
Find m, given that -24*m**4/5 + 4*m**3 + 93*m**2/10 + 18*m/5 + 2/5 = 0.
-2/3, -1/4, 2
Suppose -4*s**5 + 116*s**4 + 124*s**3 - 116*s**2 - 120*s = 0. Calculate s.
-1, 0, 1, 30
Factor 2*m**4 + 764*m**3 + 72192*m**2 - 147456*m.
2*m*(m - 2)*(m + 192)**2
Suppose 6*k**3/13 - 46*k**2/13 - 80*k/13 + 72/13 = 0. Calculate k.
-2, 2/3, 9
Solve -4*y**5 - 52*y**4 + 456*y**3 + 3368*y**2 - 29380*y + 50700 = 0.
-13, 3, 5
Factor -5*c**4/2 + 25*c**3 - 80*c**2 + 80*c.
-5*c*(c - 4)**2*(c - 2)/2
Suppose -5*p**5 - 70*p**4 + 160*p**3 - 10*p**2 - 155*p + 80 = 0. Calculate p.
-16, -1, 1
Suppose 10*p**5 + 84*p**4 + 142*p**3 - 36*p**2 - 152*p - 48 = 0. Calculate p.
-6, -2, -1, -2/5, 1
Determine h so that -h**5/4 + 2*h**4 - 11*h**3/2 + 7*h**2 - 17*h/4 + 1 = 0.
1, 4
Determine w, given that 5*w**5/2 - 25*w**4 + 135*w**3/2 + 25*w**2 - 310*w + 300 = 0.
-2, 2, 3, 5
What is x in x**5/4 - 19*x**4/2 - 31*x**3/4 + 287*x**2 + 285*x = 0?
-5, -1, 0, 6, 38
Solve -10*v**3 - 9*v**2 + 21*v - 2 = 0 for v.
-2, 1/10, 1
Factor 4*j**3 + 764*j**2 - 768*j.
4*j*(j - 1)*(j + 192)
Factor -4*h**2 - 76*h.
-4*h*(h + 19)
Determine r so that 2*r**2/5 + 4*r = 0.
-10, 0
Let 1350*r**3 + 60*r**2 + 2*r/3 = 0. Calculate r.
-1/45, 0
Factor -3*h**3 + 30*h**2 + 525*h + 1500.
-3*(h - 20)*(h + 5)**2
Solve w**5 - 9*w**4 + 4*w**3 + 36*w**2 - 32*w = 0.
-2, 0, 1, 2, 8
Factor 4*a**4 + 64*a**3 - 684*a**2 + 1944*a - 1728.
4*(a - 3)**2*(a - 2)*(a + 24)
Let -2*m**3/3 + 322*m**2 - 51842*m + 8346562/3 = 0. What is m?
161
Let -27*t**3/5 - 57*t**2/5 - 6*t/5 = 0. What is t?
-2, -1/9, 0
Find k such that 5*k**2 - 50*k - 375 = 0.
-5, 15
Factor -w**3/3 + 2*w**2/3 + 5*w/3 - 2.
-(w - 3)*(w - 1)*(w + 2)/3
Factor 17*v**2 - 66*v - 8.
(v - 4)*(17*v + 2)
Let 8*c**4/5 + 15*c**3/2 - 233*c**2/10 + 177*c/10 - 7/2 = 0. Calculate c.
-7, 5/16, 1
Factor -3*s**5/5 + 12*s**4/5 - 12*s**3/5.
-3*s**3*(s - 2)**2/5
Factor -3675*o**2 + 210*o - 3.
-3*(35*o - 1)**2
Let -5*f**2 - 825*f - 820 = 0. What is f?
-164, -1
Solve i**4/5 - 4*i**3/5 - 22*i**2/5 + 4*i/5 + 21/5 = 0 for i.
-3, -1, 1, 7
Factor -m**5/2 + 11*m**4/2 - 35*m**3/2 + 25*m**2/2.
-m**2*(m - 5)**2*(m - 1)/2
Suppose f**2/4 - 101*f/4 = 0. Calculate f.
0, 101
Find r such that -2*r**2/7 + 60*r/7 + 62/7 = 0.
-1, 31
Suppose 2*t**4/11 + 488*t**3/11 + 30720*t**2/11 + 115200*t/11 = 0. Calculate t.
-120, -4, 0
Factor -2*w**2/13 - 1764*w/13 - 388962/13.
-2*(w + 441)**2/13
Factor -11*p**3 + 46*p**2 - 8*p.
-p*(p - 4)*(11*p - 2)
Suppose 4*f**3 - 228*f**2 + 4032*f - 20736 = 0. What is f?
9, 24
Factor 18*t**4/7 - 7449*t**3/7 + 770040*t**2/7 + 128547*t/7.
3*t*(t - 207)**2*(6*t + 1)/7
Suppose 4*n**4/7 + 1704*n**3/7 + 189796*n**2/7 + 1772160*n/7 + 4326400/7 = 0. Calculate n.
-208, -5
Factor 5*k**5 - 2730*k**4 + 372645*k**3.
5*k**3*(k - 273)**2
S