te f.
-189, 1
Determine k so that 5*k**2 + 14320*k + 10253120 = 0.
-1432
Factor -2*u**5/15 + 2*u**4/5 - 2*u**3/5 + 2*u**2/15.
-2*u**2*(u - 1)**3/15
What is l in 48*l**4 + 7128*l**3 + 266403*l**2 + 131868*l + 16428 = 0?
-74, -1/4
Factor -2*s**3/11 - 10974*s**2/11 - 20071446*s/11 - 12236891578/11.
-2*(s + 1829)**3/11
Factor -5*m**4 - 65*m**3 + 225*m**2 - 235*m + 80.
-5*(m - 1)**3*(m + 16)
Let 4*i**4/7 + 136*i**3/7 + 1012*i**2/7 - 2448*i/7 + 1296/7 = 0. Calculate i.
-18, 1
What is i in -8*i**5 - 20*i**4 + 84*i**3 - 76*i**2 + 20*i = 0?
-5, 0, 1/2, 1
Solve -d**4/3 + 113*d**3/12 + 22*d**2/3 - 29*d/12 = 0.
-1, 0, 1/4, 29
Find s such that -s**3/5 + 4914*s**2/5 - 8049132*s/5 + 4394826072/5 = 0.
1638
Factor i**4 + 16*i**3 - 155*i**2 + 138*i.
i*(i - 6)*(i - 1)*(i + 23)
Determine b so that b**2/7 - 9*b/7 - 22/7 = 0.
-2, 11
Let -2*r**3/5 + 164*r**2/5 - 922*r/5 + 152 = 0. Calculate r.
1, 5, 76
Suppose 24*n**2/7 + 111*n/7 - 45/7 = 0. What is n?
-5, 3/8
Factor 2*x**3 + 238*x**2 - 4290*x + 4050.
2*(x - 15)*(x - 1)*(x + 135)
Let 2*k**3/13 - 178*k**2/13 + 3870*k/13 + 4050/13 = 0. What is k?
-1, 45
Factor 2*v**2 + 2*v - 24.
2*(v - 3)*(v + 4)
Factor -4*o**2 - 16*o + 20.
-4*(o - 1)*(o + 5)
Solve 5*x**3/6 - 385*x**2/3 + 29645*x/6 = 0.
0, 77
Factor 2*c**2/7 - 96*c/7 + 160.
2*(c - 28)*(c - 20)/7
Suppose 35*k**3/6 + 715*k**2/2 + 1355*k/3 + 100 = 0. Calculate k.
-60, -1, -2/7
Find h, given that 4*h**4 + 92*h**3 + 336*h**2 - 1712*h + 1280 = 0.
-16, -10, 1, 2
Suppose -21*z**5 - 36*z**4 + 12*z**3 = 0. Calculate z.
-2, 0, 2/7
Determine l so that -5*l**2 - 12780*l - 8166420 = 0.
-1278
Factor d**4/4 + 3*d**3/4 - 5*d**2/2.
d**2*(d - 2)*(d + 5)/4
What is s in -2*s**4/17 + 98*s**3/17 + 4430*s**2/17 - 538*s + 4620/17 = 0?
-30, 1, 77
Let a**4/4 + 7*a**3/2 - 18*a**2 - 216*a + 864 = 0. Calculate a.
-12, 4, 6
Factor -u**4/6 - 155*u**3/3 - 24025*u**2/6.
-u**2*(u + 155)**2/6
Factor -3*c**3/2 - 105*c**2/2 - 192*c - 186.
-3*(c + 2)**2*(c + 31)/2
Factor 2*v**2 - 9268*v + 10736978.
2*(v - 2317)**2
Find s such that 34*s**3/5 + 6*s**2/5 - 44*s - 192/5 = 0.
-2, -1, 48/17
Suppose d**5 - 103*d**4/2 + 247*d**3/2 - 49*d**2 = 0. Calculate d.
0, 1/2, 2, 49
Factor -4*p**3 - 136*p**2 + 1316*p - 1176.
-4*(p - 7)*(p - 1)*(p + 42)
Solve 3*h**4/5 - 324*h**3/5 + 9066*h**2/5 - 17172*h/5 + 8427/5 = 0.
1, 53
Solve 3*q**4 - 102*q**3 + 195*q**2 - 96*q = 0.
0, 1, 32
Suppose k**2/2 + 500*k + 998 = 0. Calculate k.
-998, -2
What is g in 4*g**3/7 - 156*g + 1088/7 = 0?
-17, 1, 16
Let -15*t**5 + 295*t**4 + 1130*t**3 + 500*t**2 - 920*t = 0. What is t?
-2, 0, 2/3, 23
Solve 2*y**5 + 14*y**4 - 2*y**3 - 14*y**2 = 0.
-7, -1, 0, 1
Determine m so that 2*m**3/11 - 276*m**2/11 + 1594*m/11 - 120 = 0.
1, 5, 132
Factor -2*l**2 + 14*l - 20.
-2*(l - 5)*(l - 2)
Determine k, given that 5*k**3 - 50*k**2 - 115*k - 60 = 0.
-1, 12
Factor -4*v**2/3 - 772*v/3 - 256.
-4*(v + 1)*(v + 192)/3
Factor v**3 - 24*v**2 - 52*v.
v*(v - 26)*(v + 2)
Determine w so that 3*w**4 - 492*w**3 + 19674*w**2 + 40836*w + 20667 = 0.
-1, 83
Determine p, given that -2*p**4 + 12*p**3 - 10*p**2 - 24*p = 0.
-1, 0, 3, 4
Factor -3*v**4 + 21*v**3 - 33*v**2 + 15*v.
-3*v*(v - 5)*(v - 1)**2
Solve 3*w**3/4 - 41*w**2/2 + 105*w/4 - 13/2 = 0.
1/3, 1, 26
Determine v so that 2*v**2/3 + 8588*v + 27657654 = 0.
-6441
Factor -u**5 + 6*u**4 - 11*u**3 + 2*u**2 + 12*u - 8.
-(u - 2)**3*(u - 1)*(u + 1)
Factor 2*i**2/3 + 18*i - 132.
2*(i - 6)*(i + 33)/3
Factor p**2/5 + 29*p + 564/5.
(p + 4)*(p + 141)/5
Find c such that 5*c**2 + 1925*c + 5730 = 0.
-382, -3
Factor 5*g**5 + 420*g**4 + 9230*g**3 + 17220*g**2 + 8405*g.
5*g*(g + 1)**2*(g + 41)**2
Let -d**3/4 + 11*d**2 - 41*d + 40 = 0. Calculate d.
2, 40
What is p in p**4/3 + 8*p**3/3 + 17*p**2/3 - 2*p/3 - 8 = 0?
-4, -3, -2, 1
Factor 4*o**3 + 8*o**2 - 28*o + 16.
4*(o - 1)**2*(o + 4)
Let -6*c**3 - 3*c**2 = 0. Calculate c.
-1/2, 0
Factor -65*t**3 - 740*t**2/3 - 620*t/3 + 160/3.
-5*(t + 2)**2*(39*t - 8)/3
Let -60*w**3 + 136*w**2 - 16*w - 32 = 0. What is w?
-2/5, 2/3, 2
Factor 3*n**4 + 171*n**3 - 1701*n**2 + 5265*n - 5346.
3*(n - 3)**3*(n + 66)
Factor -2*y**3/5 + 6*y**2/5 - 4*y/5.
-2*y*(y - 2)*(y - 1)/5
Factor 3*s**2/2 + 324*s + 17496.
3*(s + 108)**2/2
Factor 12*f**4 + 4*f**3 - 36*f**2 + 12*f + 8.
4*(f - 1)**2*(f + 2)*(3*f + 1)
Find v, given that 75*v**5/4 - 315*v**4/4 + 78*v**3 + 30*v**2 - 36*v - 12 = 0.
-2/5, 1, 2
Let -12*v**5/5 + 33*v**3/5 + 27*v**2/5 + 6*v/5 = 0. Calculate v.
-1, -1/2, 0, 2
Solve -u**2 - 3158*u - 2493241 = 0.
-1579
Solve -5*u**2 + 4350*u - 946125 = 0.
435
What is w in -6*w**3/5 - 234*w**2/5 - 648*w/5 = 0?
-36, -3, 0
Factor -2*a**2/13 - 10*a.
-2*a*(a + 65)/13
Find r such that 2*r**5 - 22*r**4 + 20*r**3 = 0.
0, 1, 10
Factor 2*h**5 - 4*h**4 - 46*h**3 + 48*h**2 + 288*h.
2*h*(h - 4)**2*(h + 3)**2
Suppose 25*b**5/2 + 115*b**4/6 - 3*b**3 - 53*b**2/3 - 19*b/2 - 3/2 = 0. Calculate b.
-1, -3/5, -1/3, 1
Solve 4*b**5/21 + 10*b**4/21 - 38*b**3/7 + 106*b**2/21 + 142*b/21 - 4 = 0.
-7, -1, 1/2, 2, 3
Suppose -4*o**5/7 - 32*o**4/7 - 52*o**3/7 - 24*o**2/7 = 0. Calculate o.
-6, -1, 0
Factor -y**3 + 15*y**2/2 - 18*y + 27/2.
-(y - 3)**2*(2*y - 3)/2
Let w**3/3 - 139*w**2/6 - 179*w/3 - 24 = 0. Calculate w.
-2, -1/2, 72
Factor -4*z**3 - 132*z**2 - 1440*z - 5184.
-4*(z + 9)*(z + 12)**2
Factor 2*g**2/13 - 24*g/13 + 70/13.
2*(g - 7)*(g - 5)/13
Solve 5*q**3 + 5*q**2 - 50*q + 40 = 0 for q.
-4, 1, 2
Solve 3*x**2 - 30*x - 72 = 0 for x.
-2, 12
Let 4*h**4 - 496*h**3 + 5048*h**2 - 8624*h + 4068 = 0. Calculate h.
1, 9, 113
Factor 4*w**5 - 16*w**4 - 12*w**3 + 72*w**2.
4*w**2*(w - 3)**2*(w + 2)
What is w in 2*w**3/3 + 302*w**2/3 - 204*w = 0?
-153, 0, 2
Solve -n**3/5 - 354*n**2/5 - 41772*n/5 - 1643032/5 = 0 for n.
-118
Factor -4*w**3/7 + 400*w**2/7 + 1228*w/7 + 824/7.
-4*(w - 103)*(w + 1)*(w + 2)/7
Solve 2*a**3 - 1126*a**2 = 0.
0, 563
Find w, given that 20*w**5 - 188*w**4 - 1188*w**3 - 1396*w**2 - 80*w + 336 = 0.
-3, -1, 2/5, 14
Solve -w**2/3 - 13*w/3 - 4 = 0.
-12, -1
Determine a so that -a**3 - 2*a**2 + 4*a + 8 = 0.
-2, 2
Find r, given that 5*r**4 + 45*r**3 = 0.
-9, 0
Factor 2*n**2/13 + 126*n/13.
2*n*(n + 63)/13
Factor 4*j**4 + 1012*j**3 - 4112*j**2.
4*j**2*(j - 4)*(j + 257)
Find m, given that -2*m**3/9 - 350*m**2/9 - 3934*m/9 - 3586/9 = 0.
-163, -11, -1
Factor -x**3 - 17*x**2 - 44*x - 28.
-(x + 1)*(x + 2)*(x + 14)
Determine g, given that -3*g**3 - 78*g**2 - 627*g - 1452 = 0.
-11, -4
Suppose -2*f**3/7 + 88*f**2/7 - 34*f - 328/7 = 0. What is f?
-1, 4, 41
Suppose 2*j**2 - 38*j - 364 = 0. What is j?
-7, 26
Factor j**3 + 4*j**2 - 12*j.
j*(j - 2)*(j + 6)
Factor -2*s**3/17 - 584*s**2/17 - 42632*s/17.
-2*s*(s + 146)**2/17
Factor -9248*v**2/3 + 272*v/3 - 2/3.
-2*(68*v - 1)**2/3
Solve 961*f**5/3 - 124*f**4 - 925*f**3/3 + 124*f**2 - 12*f = 0 for f.
-1, 0, 6/31, 1
Let -2*z**5/9 - 58*z**4/3 = 0. Calculate z.
-87, 0
Solve u**4/2 + 13*u**3/2 - 105*u**2/2 + 167*u/2 - 38 = 0 for u.
-19, 1, 4
Determine m, given that m**3/7 + 11*m**2/7 - 80*m/7 = 0.
-16, 0, 5
Determine k so that -2*k**3/5 + 138*k**2/5 - 432*k - 7776/5 = 0.
-3, 36
Find o such that 5*o**2 + 185*o - 600 = 0.
-40, 3
Factor -v**4/4 + 13*v**3/4 - 23*v**2/4 + 11*v/4.
-v*(v - 11)*(v - 1)**2/4
Find h such that -h**4/7 + 291*h**3/7 - 578*h**2/7 = 0.
0, 2, 289
Find s such that -4*s**3/7 + 556*s**2/7 + 2276*s/7 + 1716/7 = 0.
-3, -1, 143
What is u in -2*u**5/3 - 92*u**4/3 - 1220*u**3/3 - 1200*u**2 - 126*u + 1764 = 0?
-21, -3, -2, 1
Factor -l**3/2 - 23*l**2/2 + 609*l/2 - 585/2.
-(l - 15)*(l - 1)*(l + 39)/2
Determine u so that 5*u**2 - 50*u - 120 = 0.
-2, 12
Factor 4*n**2 - 19168*n + 22963264.
4*(n - 2396)**2
Find d such that -d**4/4 - 3*d**3/2 + 41*d**2/4 + 3*d/2 - 10 = 0.
-10, -1, 1, 4
Let -306*h**2/5 - 591*h/5 - 258/5 = 0. What is h?
-43/34, -2/3
Determine w, given that -2*w**4 + 50*w**3 - 374*w**2 + 726*w = 0.
0, 3, 11
Suppose 3*d**5 + 12*d**4 + 3*d**3 - 18*d**2 = 0. Calculate d.
-3, -2, 0, 1
Solve -u**3 - 42*u**2 - 80*u = 0 for u.
-40, -2, 0
Find a, given that 2*a**5 + 12*a**4 - 6*a**3 - 32*a**2 + 24*a = 0.
-6, -2, 0, 1
Factor 2*x**2/13 - 168*x/13 + 1216/13.
2*(x - 76)*(x - 8)/13
Solve -2*h**2/7 - 12*h/7 = 0.
-6, 0
What is g in 5*g**2 + 21550*g + 23220125 = 0?
-2155
Factor -m**3/2 + 4*m**2 + 23*m/2 - 15.
-(m - 10)*(m - 1)*(m + 3)/2
Suppose 3*m**5 + 18*m**4 + 36*m**3 + 30*m**2 + 9*m = 0. Calculate m.
-3, -1, 0
Suppose 3*l**