. Calculate i.
-1, 8
Determine o, given that o**4/5 + o**3/5 - 2*o**2/5 = 0.
-2, 0, 1
Find j, given that 2*j**5 - 2*j**4 - 2*j**3 + 2*j**2 = 0.
-1, 0, 1
What is j in -50*j**4 + 490*j**3 - 1368*j**2 + 872*j - 160 = 0?
2/5, 4, 5
What is x in 3*x**2 + 297*x = 0?
-99, 0
Factor -j**4/4 - 3*j**3/4 + 3*j**2/4 + 7*j/4 - 3/2.
-(j - 1)**2*(j + 2)*(j + 3)/4
Factor -5*a**4 + 50*a**3 - 15*a**2 - 270*a.
-5*a*(a - 9)*(a - 3)*(a + 2)
Determine y so that 12*y**5 - 32*y**4 - 224*y**3 + 952*y**2 - 1068*y + 360 = 0.
-5, 2/3, 1, 3
Factor 2*a**3/3 + 832*a**2/3 - 2510*a/3 + 1676/3.
2*(a - 2)*(a - 1)*(a + 419)/3
Determine q so that 49*q**4/5 - 21*q**3 - 13*q**2/5 + 21*q - 36/5 = 0.
-1, 3/7, 1, 12/7
What is j in -112*j**5 - 452*j**4 - 8*j**3 + 32*j**2 = 0?
-4, -2/7, 0, 1/4
Find x such that -2*x**2 + 456*x - 25992 = 0.
114
Factor 22*v**2 - 358*v/7 + 48/7.
2*(7*v - 1)*(11*v - 24)/7
Let -45*z**3 - 102*z**2 - 69*z - 12 = 0. What is z?
-1, -4/15
Factor 3*u**2/8 - 10575*u/4 + 37276875/8.
3*(u - 3525)**2/8
Solve -21*x**5/4 - 204*x**4 + 69*x**3/2 + 204*x**2 - 117*x/4 = 0.
-39, -1, 0, 1/7, 1
Factor 3*j**3/7 - 15*j**2/7 - 99*j/7 - 81/7.
3*(j - 9)*(j + 1)*(j + 3)/7
Find p, given that 3*p**4 + 201*p**3 - 1059*p**2 + 1503*p - 648 = 0.
-72, 1, 3
What is b in 5*b**5 - 60*b**4 + 215*b**3 - 120*b**2 - 400*b = 0?
-1, 0, 4, 5
Factor 3*w**4 + 18*w**3 - 3*w**2 - 18*w.
3*w*(w - 1)*(w + 1)*(w + 6)
Factor 5*x**3 - 10*x**2 - 160*x + 480.
5*(x - 4)**2*(x + 6)
Factor w**4/5 + w**3 + 9*w**2/5 + 7*w/5 + 2/5.
(w + 1)**3*(w + 2)/5
Determine w, given that w**3 + 1701*w**2 + 964467*w + 182284263 = 0.
-567
What is u in -3*u**2 - 39*u = 0?
-13, 0
Factor 6*n**4/11 + 102*n**3/11 - 222*n**2/11 + 114*n/11.
6*n*(n - 1)**2*(n + 19)/11
Suppose -4*x**2 + 48*x - 80 = 0. What is x?
2, 10
Factor -3*u**3 + 837*u**2 - 77841*u + 2413071.
-3*(u - 93)**3
Determine z, given that 2*z**2 + 12*z = 0.
-6, 0
Factor 3*j**2 - 57*j - 2340.
3*(j - 39)*(j + 20)
Find l such that 2*l**2/5 + 84*l + 4410 = 0.
-105
Let 5*o**5 + 15*o**4 - 15*o**3 - 35*o**2 + 30*o = 0. What is o?
-3, -2, 0, 1
Let 25*a**4 - 35*a**3 - 90*a**2 + 140*a - 40 = 0. What is a?
-2, 2/5, 1, 2
Factor -2*v**5/15 - 8*v**4/15 - 2*v**3/3 - 4*v**2/15.
-2*v**2*(v + 1)**2*(v + 2)/15
Solve 2*z**5/15 - 2*z**4/15 - 4*z**3/15 = 0.
-1, 0, 2
Determine w, given that 2*w**5/7 + 4*w**4/7 - 36*w**3/7 + 64*w**2/7 - 46*w/7 + 12/7 = 0.
-6, 1
Factor 2*w**2/7 + 2*w + 12/7.
2*(w + 1)*(w + 6)/7
Factor 254*d**2 - 1525*d + 6.
(d - 6)*(254*d - 1)
Find t such that -6*t**5/5 - 9*t**4 - 93*t**3/5 - 12*t**2/5 + 108*t/5 + 48/5 = 0.
-4, -2, -1/2, 1
Factor x**4 + 23*x**3 + 81*x**2 + 97*x + 38.
(x + 1)**2*(x + 2)*(x + 19)
Factor -4*s**3/3 - 36*s**2 - 180*s - 252.
-4*(s + 3)**2*(s + 21)/3
Factor -l**4/5 - 2*l**3 + 7*l**2/5 + 196*l/5.
-l*(l - 4)*(l + 7)**2/5
Suppose -5*r**3 + 10*r**2 + 35*r + 20 = 0. Calculate r.
-1, 4
Factor -j**5/7 - 8*j**4 + 234*j**3/7 - 356*j**2/7 + 239*j/7 - 60/7.
-(j - 1)**4*(j + 60)/7
Determine h so that h**5 + h**4 - 10*h**3 - 10*h**2 + 9*h + 9 = 0.
-3, -1, 1, 3
Solve 2*l**2/9 - 128*l/3 = 0 for l.
0, 192
Factor 4*o**2 + 1640*o + 168100.
4*(o + 205)**2
Let -36*i**5 - 1635*i**4 - 5322*i**3 - 6639*i**2 - 3672*i - 756 = 0. What is i?
-42, -1, -3/4, -2/3
Solve 4*h**2 + 196*h + 552 = 0 for h.
-46, -3
Solve 5*f**5 + 5*f**4 - 45*f**3 - 45*f**2 = 0 for f.
-3, -1, 0, 3
Factor 2*t**2/7 - 3196*t/7 + 1276802/7.
2*(t - 799)**2/7
Factor -m**2/5 - 1836*m/5 - 842724/5.
-(m + 918)**2/5
Factor 2*p**2/25 - 8*p + 1638/25.
2*(p - 91)*(p - 9)/25
Suppose -6*t**4/5 - 2*t**3 + 2*t**2/5 + 2*t + 4/5 = 0. Calculate t.
-1, -2/3, 1
Factor 2*p**3/5 + 177*p**2/5 - 1116*p/5 + 1701/5.
(p - 3)**2*(2*p + 189)/5
Factor 2*o**4/11 + 2*o**3/11 - 12*o**2/11.
2*o**2*(o - 2)*(o + 3)/11
Suppose 2*d**5/3 - 35*d**4/6 + 107*d**3/6 - 127*d**2/6 + 11*d/2 + 3 = 0. Calculate d.
-1/4, 1, 2, 3
What is x in -x**4 + 20*x**3 - 141*x**2 + 406*x - 392 = 0?
2, 4, 7
What is r in 11*r**5/6 - 53*r**4/6 + 17*r**3/3 + 4*r**2/3 = 0?
-2/11, 0, 1, 4
Let 3*f**3 + 33*f**2 + 54*f = 0. Calculate f.
-9, -2, 0
Solve -3*x**5 + 306*x**4 - 10086*x**3 + 96180*x**2 + 363825*x + 257250 = 0.
-2, -1, 35
Factor -2*k**4 - 22*k**3 - 36*k**2 + 216*k + 432.
-2*(k - 3)*(k + 2)*(k + 6)**2
Let -3*o**2/2 + 27966*o - 130349526 = 0. Calculate o.
9322
Solve 5*j**4 + 130*j**3 + 415*j**2 - 550*j = 0 for j.
-22, -5, 0, 1
Suppose 2*t**2/7 - 148*t/7 + 690/7 = 0. What is t?
5, 69
Factor -2*h**4/13 - 6*h**3/13 + 8*h/13.
-2*h*(h - 1)*(h + 2)**2/13
Suppose -5*y**5 - 60*y**4 - 140*y**3 - 30*y**2 + 145*y + 90 = 0. What is y?
-9, -2, -1, 1
Solve 5*k**5 - 550*k**4 + 16190*k**3 - 58840*k**2 + 71285*k - 28090 = 0.
1, 2, 53
Suppose 34*i**4/5 + 104*i**3/5 + 6*i**2/5 = 0. Calculate i.
-3, -1/17, 0
Solve 4*g**5 + 28*g**4 + 48*g**3 - 16*g**2 - 64*g = 0.
-4, -2, 0, 1
Factor 4*h**5 - 172*h**4 + 2344*h**3 - 8280*h**2 - 24300*h - 13500.
4*(h - 15)**3*(h + 1)**2
Factor -j**3/4 - 1089*j**2/4 - 395307*j/4 - 47832147/4.
-(j + 363)**3/4
Find d, given that 8*d**3 - 466*d**2 + 6844*d - 1682 = 0.
1/4, 29
Factor -q**4 - 210*q**3 - 10593*q**2 + 45796*q.
-q*(q - 4)*(q + 107)**2
Find h such that -2*h**5 + 28*h**4 - 120*h**3 + 208*h**2 - 128*h = 0.
0, 2, 8
Determine l so that -2*l**5/7 - 460*l**4/7 - 914*l**3/7 - 456*l**2/7 = 0.
-228, -1, 0
Find w such that -w**2/7 - 544*w/7 - 73984/7 = 0.
-272
Factor -2*o**2 + 98*o + 204.
-2*(o - 51)*(o + 2)
Factor -4*r**2 + 24*r + 28.
-4*(r - 7)*(r + 1)
Suppose 4*y**2 + 404*y - 408 = 0. What is y?
-102, 1
Factor -5*f**2 - 90*f + 200.
-5*(f - 2)*(f + 20)
Factor 15*u**4 + 567*u**3 + 5301*u**2 - 1083*u.
3*u*(u + 19)**2*(5*u - 1)
Let 2*x**5/9 - 20*x**4/9 + 6*x**3 - 4*x**2 = 0. Calculate x.
0, 1, 3, 6
Determine b so that 20*b**5 - 125*b**4 + 170*b**3 + 85*b**2 - 190*b + 40 = 0.
-1, 1/4, 1, 2, 4
Solve -5*w**5 - 30*w**4 + 15*w**3 + 80*w**2 - 60*w = 0 for w.
-6, -2, 0, 1
Find b, given that 75*b**5/2 + 315*b**4/4 - 126*b**3 - 222*b**2 + 144*b + 108 = 0.
-2, -1/2, 6/5
Determine j, given that 2*j**2 - 212*j - 214 = 0.
-1, 107
Find z, given that 44*z**5 + 1180*z**4 + 8276*z**3 + 3604*z**2 - 15808*z + 2704 = 0.
-13, -2, 2/11, 1
Solve -3*y**4/4 - 21*y**3/4 - 12*y**2 - 9*y = 0.
-3, -2, 0
Factor -4*r**5 - 368*r**4 - 10764*r**3 - 83072*r**2 + 487424*r - 393216.
-4*(r - 3)*(r - 1)*(r + 32)**3
Suppose 15*t**2/2 + 81*t/2 - 27 = 0. Calculate t.
-6, 3/5
Factor k**2/4 - 37*k/2 - 75/4.
(k - 75)*(k + 1)/4
Find j such that -5*j**2 - 9*j - 4 = 0.
-1, -4/5
Factor 2*s**4/3 - 14*s**3 + 26*s**2 - 38*s/3.
2*s*(s - 19)*(s - 1)**2/3
Factor 2*b**5 - 16*b**4 + 30*b**3 + 16*b**2 - 32*b.
2*b*(b - 4)**2*(b - 1)*(b + 1)
Let -j**3/5 - 3*j**2 - 18*j/5 + 104/5 = 0. Calculate j.
-13, -4, 2
Factor -y**3 - 5*y**2 - 6*y.
-y*(y + 2)*(y + 3)
Solve -16*i**5 + 312*i**4 - 1737*i**3 + 2107*i**2 - 747*i + 81 = 0.
1/4, 1, 9
Factor -5*z**2 - 360*z + 365.
-5*(z - 1)*(z + 73)
Determine o so that o**5/6 + 97*o**4/6 + 1385*o**3/3 + 11101*o**2/3 - 53107*o/6 + 28037/6 = 0.
-53, -23, 1
Suppose 299538*k**4/5 + 390096*k**3/5 + 120816*k**2/5 - 4032*k/5 + 32/5 = 0. Calculate k.
-2/3, 2/129
Determine r so that 2*r**3/7 - 68*r**2/7 - 144*r/7 = 0.
-2, 0, 36
Factor 3*f**2 - 1680*f + 235200.
3*(f - 280)**2
Factor -g**2 - 2*g.
-g*(g + 2)
Find o, given that o**5/9 + 464*o**4/9 + 17941*o**3/3 - 464*o**2/9 - 53824*o/9 = 0.
-232, -1, 0, 1
Find l such that -5*l**4 - 365*l**3 - 715*l**2 - 355*l = 0.
-71, -1, 0
Suppose 2*t**5/3 - 2*t**4/3 - 4*t**3/3 + 4*t**2/3 + 2*t/3 - 2/3 = 0. What is t?
-1, 1
Factor -u**3/5 - 16*u**2/5 - 41*u/5 - 26/5.
-(u + 1)*(u + 2)*(u + 13)/5
Factor 2*o**3/19 + 148*o**2/19 + 568*o/19 + 560/19.
2*(o + 2)**2*(o + 70)/19
Suppose b**3 + 19*b**2 - 88*b + 92 = 0. What is b?
-23, 2
Find x, given that -x**5/2 - 223*x**4/2 + 225*x**3/2 + 223*x**2/2 - 112*x = 0.
-224, -1, 0, 1
Factor -4*h**5 + 804*h**4 - 53040*h**3 + 1091264*h**2 + 3773184*h.
-4*h*(h - 68)**3*(h + 3)
Factor 484*m**3 - 1144*m**2 - 2844*m - 1296.
4*(m - 4)*(11*m + 9)**2
Factor 2*s**5 + 10*s**4 - 12*s**3.
2*s**3*(s - 1)*(s + 6)
Find k, given that -3*k**3/5 + 171*k**2/5 - 333*k/5 + 33 = 0.
1, 55
Determine j so that -12*j**2 - 11487*j - 2871 = 0.
-957, -1/4
Factor 4*o**2 + 15600*o - 15604.
4*(o - 1)*(o + 3901)
Find z such that 20*z**5 + 235*z**4 + 360*z**3 - 2065*z**2 + 490*z = 0.
-7, 0, 1/4, 2
Find i, given that -2*i**3/17 - 32*i**2/17 + 2*i/17 + 32/17 = 0.
-16, -1