 28)/5
Factor 6*p**5 + 20*p**4 + 74*p**3/3 + 40*p**2/3 + 8*p/3.
2*p*(p + 1)**2*(3*p + 2)**2/3
Suppose 5*g**2 - 990*g = 0. What is g?
0, 198
Let 3*t**3 + 27*t**2 - 3*t - 27 = 0. Calculate t.
-9, -1, 1
Let k**5/5 + 2*k**4/5 - k**3/5 - 2*k**2/5 = 0. What is k?
-2, -1, 0, 1
Factor 2*j**2/3 - 412*j/3 + 21218/3.
2*(j - 103)**2/3
Determine i, given that i**5/5 - 4*i**4/5 - 3*i**3/5 + 34*i**2/5 - 52*i/5 + 24/5 = 0.
-3, 1, 2
Factor -4*i**2/7 - 44*i/7 - 72/7.
-4*(i + 2)*(i + 9)/7
Suppose l**3/6 + 5*l**2/3 = 0. What is l?
-10, 0
Factor 3*z**2 - 954*z - 1920.
3*(z - 320)*(z + 2)
Factor -5*z**3 - 220*z**2 + 2755*z + 2970.
-5*(z - 11)*(z + 1)*(z + 54)
Find o, given that -o**4/3 - 10*o**3/3 - 31*o**2/3 - 10*o = 0.
-5, -3, -2, 0
Let -5*o**5 - 90*o**4 + 25*o**3 + 450*o**2 - 20*o - 360 = 0. Calculate o.
-18, -2, -1, 1, 2
Factor 12*d**3/5 - 189*d**2/5 + 132*d/5 + 9.
3*(d - 15)*(d - 1)*(4*d + 1)/5
Factor -5*i**3 + 25*i**2 + 65*i + 35.
-5*(i - 7)*(i + 1)**2
Factor -2*d**5/9 - 4*d**4/9 + 4*d**3 - 64*d**2/9 + 46*d/9 - 4/3.
-2*(d - 1)**4*(d + 6)/9
Factor 3*p**2 - 354*p + 10443.
3*(p - 59)**2
Determine r, given that -4*r**5 + 256*r**4 - 1656*r**3 + 3456*r**2 - 2052*r = 0.
0, 1, 3, 57
Factor y**2 - 226*y + 12769.
(y - 113)**2
Factor 3388*d**3 + 5896*d**2 + 3200*d + 512.
4*(7*d + 2)*(11*d + 8)**2
Solve -2*j**5/7 + 12*j**4/7 + 90*j**3/7 - 100*j**2/7 = 0 for j.
-5, 0, 1, 10
Factor 2*l**4/5 - 2*l**3/5 - 6*l**2/5 + 2*l/5 + 4/5.
2*(l - 2)*(l - 1)*(l + 1)**2/5
Factor -87*k**3/7 - 678*k**2/7 - 1248*k/7 + 288/7.
-3*(k + 4)**2*(29*k - 6)/7
Solve -2*q**3/9 - 4*q**2 - 40*q/3 + 400/9 = 0.
-10, 2
Factor -2*c**3/23 + 38*c**2/23 - 174*c/23 + 234/23.
-2*(c - 13)*(c - 3)**2/23
What is z in -2*z**5 + 312*z**4 - 11850*z**3 - 24964*z**2 = 0?
-2, 0, 79
Factor 2*q**3/9 + 2*q**2 - 44*q/9.
2*q*(q - 2)*(q + 11)/9
Let 5*q**5 - 825*q**4 + 820*q**3 = 0. Calculate q.
0, 1, 164
Determine a, given that -a**5/7 + 10*a**4/7 + 23*a**3/7 + 12*a**2/7 = 0.
-1, 0, 12
Factor n**2/5 + 202*n/5 + 10201/5.
(n + 101)**2/5
Factor -2*v**2/7 + 100*v/7 - 192/7.
-2*(v - 48)*(v - 2)/7
Factor -s**2 - 64*s.
-s*(s + 64)
Factor -f**4 + 38*f**3 - 141*f**2 + 172*f - 68.
-(f - 34)*(f - 2)*(f - 1)**2
Factor 3*h**5 + 378*h**4 + 11127*h**3 - 49140*h**2 + 50700*h.
3*h*(h - 2)**2*(h + 65)**2
Find a such that 5*a**5 + 25*a**4 - 50*a**3 - 100*a**2 + 120*a = 0.
-6, -2, 0, 1, 2
Let -3915*z**3 + 3722*z**2 + 191*z + 2 = 0. Calculate z.
-1/29, -2/135, 1
Solve 275*l**4/9 + 610*l**3/9 + 67*l**2/9 - 100*l/9 + 4/3 = 0.
-2, -3/5, 2/11, 1/5
Solve 3*q**4 + 126*q**3 + 1911*q**2 + 12348*q + 28812 = 0 for q.
-14, -7
Determine r, given that -5*r**2 - 45*r + 450 = 0.
-15, 6
Determine s so that 2*s**2 - 350*s = 0.
0, 175
Factor -2*g**5 - 114*g**4 - 538*g**3 - 950*g**2 - 732*g - 208.
-2*(g + 1)**3*(g + 2)*(g + 52)
Suppose -2*s**2/9 + 48*s + 146 = 0. Calculate s.
-3, 219
What is l in -3*l**2 - 192*l - 3072 = 0?
-32
Factor -5*i**2 + 245*i - 240.
-5*(i - 48)*(i - 1)
Find k such that -4*k**4 - 55*k**3/2 - 255*k**2/4 - 225*k/4 - 27/2 = 0.
-3, -2, -3/2, -3/8
Solve h**3/3 - h**2/3 - 7*h + 15 = 0 for h.
-5, 3
Factor -2*n**3/9 + 20*n**2/9 + 46*n/9 + 8/3.
-2*(n - 12)*(n + 1)**2/9
Factor -2*c**2/7 + 248*c/7 - 7688/7.
-2*(c - 62)**2/7
What is a in 2*a**3/15 + 56*a**2/15 - 58*a/15 = 0?
-29, 0, 1
Let -c**2/4 - 11*c/2 - 117/4 = 0. What is c?
-13, -9
Suppose -2*y**3/3 + 32*y**2/3 + 70*y/3 + 12 = 0. Calculate y.
-1, 18
Let 2*w**2/15 - 288*w/5 = 0. What is w?
0, 432
Suppose 2*z**3/5 + 228*z**2 + 43320*z + 2743600 = 0. What is z?
-190
Suppose 15*s**4/4 - 103*s**3/2 + 135*s**2/4 + 27*s - 13 = 0. What is s?
-2/3, 2/5, 1, 13
Determine n, given that -5*n**5 - 30*n**4 + 165*n**3 + 230*n**2 - 360*n = 0.
-9, -2, 0, 1, 4
Factor 3*z**4/2 - 9*z**3 - 315*z**2/2 - 147*z.
3*z*(z - 14)*(z + 1)*(z + 7)/2
Factor x**2/4 + 31*x/4 + 29/2.
(x + 2)*(x + 29)/4
Factor 2*q**3/3 + 28*q**2/3 + 32*q.
2*q*(q + 6)*(q + 8)/3
Determine m so that -2*m**2/7 - 10*m/7 + 48/7 = 0.
-8, 3
Find b such that 43*b**2 - 102*b + 32 = 0.
16/43, 2
Factor -4*r**3 - 3112*r**2 + 3116*r.
-4*r*(r - 1)*(r + 779)
Let -2*h**2 - 86*h + 480 = 0. Calculate h.
-48, 5
Factor 5*q**5 - 35*q**4 + 65*q**3 + 15*q**2 - 90*q.
5*q*(q - 3)**2*(q - 2)*(q + 1)
Solve 5*r**3/3 + 1390*r**2 - 5580*r + 16760/3 = 0 for r.
-838, 2
Suppose 24*j**2/5 - 46*j/5 - 4/5 = 0. What is j?
-1/12, 2
What is c in c**2/3 + 76*c/3 + 256 = 0?
-64, -12
Find j such that 4*j**2/7 + 180*j/7 + 176/7 = 0.
-44, -1
Let c**3/5 - 242*c**2/5 + 96*c = 0. Calculate c.
0, 2, 240
Solve -2*x**4 - 10*x**3/3 - 2*x**2/9 + 14*x/9 + 4/9 = 0.
-1, -1/3, 2/3
Solve 3*m**5 - 1083*m**4 + 129594*m**3 - 5052234*m**2 - 10497597*m - 5314683 = 0.
-1, 121
Let -n**4/2 + 3*n**3/2 - n**2/2 - 3*n/2 + 1 = 0. Calculate n.
-1, 1, 2
Find b, given that -16*b**5/3 - 776*b**4/3 - 1499*b**3 - 5464*b**2/3 - 1937*b/3 - 70 = 0.
-42, -5, -1, -1/4
Suppose 2*t**2/5 - 18*t/5 + 16/5 = 0. What is t?
1, 8
Suppose 4*o**4 + 16*o**3 + 16*o**2 = 0. Calculate o.
-2, 0
Factor -4*m**3 + 84*m**2 - 156*m + 76.
-4*(m - 19)*(m - 1)**2
Factor -f**3/9 + 17*f**2/3 - 11*f + 49/9.
-(f - 49)*(f - 1)**2/9
What is d in 676*d**2 + 18304*d + 123904 = 0?
-176/13
Determine o, given that 2*o**3/11 - 782*o**2/11 + 76048*o/11 + 76832/11 = 0.
-1, 196
Factor 3*u**3/4 - 4233*u**2/4 + 4224*u - 4221.
3*(u - 1407)*(u - 2)**2/4
Factor -4*j**3/3 + 72*j**2 - 384*j.
-4*j*(j - 48)*(j - 6)/3
Determine v so that 60*v**4 + 492*v**3 - 933*v**2 - 582*v = 0.
-97/10, -1/2, 0, 2
Factor -v**4 - 100*v**3 - 2950*v**2 - 22500*v - 50625.
-(v + 5)**2*(v + 45)**2
Factor -4*v**3 + 288*v**2 + 1204*v + 912.
-4*(v - 76)*(v + 1)*(v + 3)
Factor 2*j**3/9 - 10*j**2/9 - 148*j/9 + 160/3.
2*(j - 10)*(j - 3)*(j + 8)/9
Find c such that -2*c**2/5 - 18*c/5 = 0.
-9, 0
Let -t**4/4 + 101*t**3 - 27135*t**2/2 + 601425*t + 2460375/4 = 0. Calculate t.
-1, 135
Determine h, given that 20*h**2 - 48*h + 28 = 0.
1, 7/5
Solve 2*j**2 + 8*j = 0 for j.
-4, 0
Find a such that 2*a**4/7 + 4*a**3/7 + 2*a**2/7 = 0.
-1, 0
Factor b**3 + 12*b**2 - b - 12.
(b - 1)*(b + 1)*(b + 12)
Find j such that 24*j**3 + 27*j**2 - 45*j - 6 = 0.
-2, -1/8, 1
Factor v**5/5 + 2*v**4/5 - 6*v**3/5 - 4*v**2/5 + 13*v/5 - 6/5.
(v - 1)**3*(v + 2)*(v + 3)/5
Solve -3*r**3 + 9*r**2 + 27*r + 15 = 0 for r.
-1, 5
Factor -p**2/5 - 5*p - 20.
-(p + 5)*(p + 20)/5
Factor 3*n**4 - 93*n**3 - 768*n**2 - 1140*n.
3*n*(n - 38)*(n + 2)*(n + 5)
Solve -3*x**4 + 24*x**3 - 36*x**2 = 0 for x.
0, 2, 6
Let -10*k**5 - 214*k**4 - 1394*k**3 - 2234*k**2 + 2556*k + 1296 = 0. Calculate k.
-9, -4, -2/5, 1
Suppose j**2 + 386*j + 385 = 0. What is j?
-385, -1
Suppose 3*x**2 + 24*x - 252 = 0. What is x?
-14, 6
Find b such that b**2/4 + b - 3 = 0.
-6, 2
Factor 3*u**2/4 - 127*u/2 + 42.
(u - 84)*(3*u - 2)/4
Factor -h**3 - 1190*h**2/3 - 1052*h - 1576/3.
-(h + 2)*(h + 394)*(3*h + 2)/3
Factor 7*a**2 + 5*a - 2.
(a + 1)*(7*a - 2)
Determine j so that 2*j**2/3 + 8*j/3 = 0.
-4, 0
Determine r so that -2*r**3/9 - 26*r**2/9 + 136*r/9 = 0.
-17, 0, 4
Factor -b**5 + 3*b**4 + b**3 - 3*b**2.
-b**2*(b - 3)*(b - 1)*(b + 1)
Let -d**5 + 4*d**4 - 4*d**3 = 0. Calculate d.
0, 2
Suppose -2*p**4/5 + 4*p**3/5 + 2*p**2/5 - 4*p/5 = 0. What is p?
-1, 0, 1, 2
Suppose -8*r**5 - 396*r**4 - 10353*r**3/2 - 6553*r**2 + 4272*r - 576 = 0. Calculate r.
-24, -2, 1/4
Factor u**5/5 - 2*u**4/5 - 6*u**3/5 + 4*u**2 - 19*u/5 + 6/5.
(u - 2)*(u - 1)**3*(u + 3)/5
Let -14*o**4/3 - o**3/3 + 17*o**2/3 + o/3 - 1 = 0. What is o?
-1, -1/2, 3/7, 1
Factor -3*l**4/4 + 12*l**3 + 27*l**2.
-3*l**2*(l - 18)*(l + 2)/4
Let 4*t**3 + 1032*t**2 + 75684*t + 1132880 = 0. What is t?
-119, -20
Factor -2*q**3/3 - 82*q**2/3 - 232*q/3 - 152/3.
-2*(q + 1)*(q + 2)*(q + 38)/3
Find z, given that -5*z**4 + 185*z**3 - 1890*z**2 + 4960*z + 7040 = 0.
-1, 8, 22
Solve -4*d**5/7 - 22*d**4/7 + 8*d**3 + 222*d**2/7 - 36*d = 0.
-6, -7/2, 0, 1, 3
Factor 2*j**2/3 - 4*j + 10/3.
2*(j - 5)*(j - 1)/3
Let n**2/3 + 17*n/3 = 0. What is n?
-17, 0
Determine a, given that -5*a**2 - 5760*a - 5755 = 0.
-1151, -1
Factor -4*h**2 - 828*h + 1672.
-4*(h - 2)*(h + 209)
Solve 2*p**2/15 - 358*p/15 + 356/15 = 0.
1, 178
Determine s, given that -s**2 + 4*s + 12 = 0.
-2, 6
Determine f, given that 25*f**4 + 13340*f**3 - 5365*f**2 - 13340*f + 5340 = 0.
-534, -1, 2/5, 1
Factor 2*c**4 - 44*c**3 - 478*c**2 + 7920*c + 64800.
2*(c - 20)**2*(c + 9)**2
Factor -q**3/3 - 125*q**2/3 - 