0, 3212
Factor -7*z**2/9 - 4*z/3 + 3.
-(z + 3)*(7*z - 9)/9
Determine i, given that -i**2 - 21*i + 22 = 0.
-22, 1
Solve -c**5/5 + 16*c**4/5 - 27*c**3/5 - 16*c**2/5 + 28*c/5 = 0 for c.
-1, 0, 1, 2, 14
Factor 20*h**3 - 24*h**2 - 44*h.
4*h*(h + 1)*(5*h - 11)
Factor 2*i**3/13 + 6*i**2/13 - 32*i/13 + 24/13.
2*(i - 2)*(i - 1)*(i + 6)/13
Let -5*k**3/3 + 472*k**2/3 + 287*k/3 - 190/3 = 0. Calculate k.
-1, 2/5, 95
Find w such that 3*w**2 + 60*w + 288 = 0.
-12, -8
Factor r**3 - 767*r**2.
r**2*(r - 767)
Factor -f**3/5 - 53*f**2/5 - 102*f/5.
-f*(f + 2)*(f + 51)/5
Factor 5*n**2/4 - 1135*n/4 - 1145/2.
5*(n - 229)*(n + 2)/4
What is v in -50*v**2 + 204*v - 16 = 0?
2/25, 4
Factor -2*r**5 + 37*r**4 - 186*r**3 - 112*r**2 + 2156*r - 1029.
-(r - 7)**3*(r + 3)*(2*r - 1)
Factor 2*l**2/11 - 42*l/11 - 144/11.
2*(l - 24)*(l + 3)/11
Determine p, given that 3*p**4 - 78*p**3 + 648*p**2 - 1458*p - 2187 = 0.
-1, 9
What is b in -2*b**4/5 + 6*b**3/5 + 2*b**2 - 6*b/5 - 8/5 = 0?
-1, 1, 4
Suppose -y**3/4 - 83*y**2/2 - 1763*y - 3362 = 0. Calculate y.
-82, -2
Let 4*s**4 - 84*s**3 = 0. What is s?
0, 21
Solve 3*q**4/8 - 57*q**3/8 + 39*q**2 - 105*q/2 = 0 for q.
0, 2, 7, 10
Solve -l**4/2 + 33*l**3/2 - 305*l**2/2 + 375*l/2 + 1125 = 0.
-2, 5, 15
Factor -3*y**4/5 + 39*y**3/5.
-3*y**3*(y - 13)/5
Factor 3*t**5 + 33*t**4 + 78*t**3 + 48*t**2.
3*t**2*(t + 1)*(t + 2)*(t + 8)
Factor -i**3/5 + i**2 + 8*i/5 - 12/5.
-(i - 6)*(i - 1)*(i + 2)/5
Factor p**4/6 + 11*p**3/6 - 13*p**2/6 - 11*p/6 + 2.
(p - 1)**2*(p + 1)*(p + 12)/6
What is o in -2*o**3 + 196*o**2 - 4992*o + 9216 = 0?
2, 48
Factor -3*n**2 - 27*n - 60.
-3*(n + 4)*(n + 5)
Suppose -3*l**5 + 126*l**4 - 789*l**3 + 1950*l**2 - 2124*l + 840 = 0. What is l?
1, 2, 35
Let 5*o**5 + 1830*o**4 + 228520*o**3 + 10351810*o**2 + 77531475*o + 67406360 = 0. What is o?
-119, -8, -1
Factor 2*h**4 + 14*h**3 + 10*h**2 - 14*h - 12.
2*(h - 1)*(h + 1)**2*(h + 6)
Let 2*l**2 - 886*l = 0. Calculate l.
0, 443
Find w such that w**2/6 + 4*w/3 + 5/2 = 0.
-5, -3
Suppose t**5 + 358*t**4 - 361*t**3 - 718*t**2 = 0. What is t?
-359, -1, 0, 2
Factor t**3 + 593*t**2 + 3531*t + 5283.
(t + 3)**2*(t + 587)
Suppose -10*c**3/9 + 118*c**2/3 + 1000*c/9 - 152/3 = 0. Calculate c.
-3, 2/5, 38
Solve 2*k**2 - 98*k + 96 = 0 for k.
1, 48
Factor -5*d**2 + 35*d + 3190.
-5*(d - 29)*(d + 22)
Find j, given that -15*j**2 - 882*j + 177 = 0.
-59, 1/5
Find g such that 2*g**2/11 - 56*g/11 + 392/11 = 0.
14
Find k such that k**4/3 - 43*k**3/6 + 87*k**2/2 - 160*k/3 + 50/3 = 0.
1/2, 1, 10
Determine k, given that 3*k**3/5 + 6*k**2/5 = 0.
-2, 0
Factor j**4/6 + j**3/6 - 2*j**2 + 2*j/3 + 8/3.
(j - 2)**2*(j + 1)*(j + 4)/6
Determine q, given that 2352*q**5 - 2520*q**4 + 1011*q**3 - 180*q**2 + 12*q = 0.
0, 1/4, 2/7
Solve l**2/3 + 346*l/3 + 29929/3 = 0 for l.
-173
Factor -5*z**4/3 - 43*z**3/3 - 52*z**2/3 + 28*z/3.
-z*(z + 2)*(z + 7)*(5*z - 2)/3
Let 3058*t**5/5 - 2546*t**4/5 - 3578*t**3/5 + 2554*t**2/5 + 104*t - 8/5 = 0. Calculate t.
-1, -2/11, 2/139, 1
Solve 4*w**5 + 94*w**4 + 426*w**3 - 862*w**2 + 50*w + 288 = 0.
-16, -9, -1/2, 1
Factor -u**5/4 + 51*u**4/2 - 867*u**3 + 9826*u**2.
-u**2*(u - 34)**3/4
Factor 2*l**5/7 + 106*l**4/7 - 330*l**3/7 + 334*l**2/7 - 16*l.
2*l*(l - 1)**3*(l + 56)/7
Solve 2*y**2/13 - 14*y/13 - 16/13 = 0.
-1, 8
Let 2*h**4 - 6*h**3 - 4*h**2 + 24*h - 16 = 0. What is h?
-2, 1, 2
Factor 4*d**3/5 + 4*d**2/5 - 32*d/5 - 48/5.
4*(d - 3)*(d + 2)**2/5
Determine f, given that f**3 + 13*f**2/5 - 96*f/5 + 36/5 = 0.
-6, 2/5, 3
Factor -y**3/2 - 9*y**2/2 - 12*y - 10.
-(y + 2)**2*(y + 5)/2
Factor k**4 - 19*k**3 + 55*k**2 + 363*k.
k*(k - 11)**2*(k + 3)
Find x, given that -2*x**5/5 + 446*x**4/5 - 442*x**3/5 - 446*x**2/5 + 444*x/5 = 0.
-1, 0, 1, 222
Factor -3*m**2 - 180*m.
-3*m*(m + 60)
Solve -2*i**5 + 15*i**4/2 + 55*i**3/2 - 18*i = 0 for i.
-2, -1, 0, 3/4, 6
Let -14*x**2/19 - 2656*x/19 + 40 = 0. What is x?
-190, 2/7
Let 4*f**2 - 136*f + 132 = 0. What is f?
1, 33
Find g, given that 2*g**5/5 - 18*g**4 - 386*g**3/5 - 302*g**2/5 + 384*g/5 + 392/5 = 0.
-2, -1, 1, 49
Factor -2*a**3/7 + 18*a**2/7 + 24*a/7 - 40/7.
-2*(a - 10)*(a - 1)*(a + 2)/7
Find q, given that -2*q**4/13 + 266*q**3/13 - 12126*q**2/13 + 203390*q/13 - 636056/13 = 0.
4, 43
Solve -p**4/7 - 34*p**3 + 173*p**2 - 972*p/7 = 0.
-243, 0, 1, 4
Let -3*f**4 - 909*f**3/5 - 2244*f**2/5 + 1044*f/5 = 0. Calculate f.
-58, -3, 0, 2/5
Determine s so that -3*s**5/4 + 27*s**4/2 - 321*s**3/4 + 297*s**2/2 + 81*s - 162 = 0.
-1, 1, 6
Factor -4*z**2 + 96*z - 176.
-4*(z - 22)*(z - 2)
What is u in 2*u**2/15 + 56*u/15 = 0?
-28, 0
Factor -2*l**3 + 442*l**2 - 25488*l + 116640.
-2*(l - 108)**2*(l - 5)
Factor 2*m**5/7 - 12*m**4/7 + 18*m**3/7 - 8*m**2/7.
2*m**2*(m - 4)*(m - 1)**2/7
Factor -3*n**2 + 1149*n/2 - 573/2.
-3*(n - 191)*(2*n - 1)/2
Factor 4*f**2 + 40672*f + 103388224.
4*(f + 5084)**2
Find l, given that l**4/7 - 96*l**3/7 + 2925*l**2/7 - 27378*l/7 = 0.
0, 18, 39
Determine m so that -3*m**2 + 60*m - 108 = 0.
2, 18
Let 75*u**5 + 60*u**4 - 63*u**3 - 60*u**2 - 12*u = 0. What is u?
-1, -2/5, 0, 1
Suppose 6*i**3 + 9*i**2 - 6*i = 0. What is i?
-2, 0, 1/2
Find g, given that -3*g**4 - 156*g**3 - 288*g**2 + 624*g + 1200 = 0.
-50, -2, 2
Factor -2*i**5 - 38*i**4 - 278*i**3 - 970*i**2 - 1600*i - 1000.
-2*(i + 2)**2*(i + 5)**3
Factor -5*g**2/4 - 965*g/4 - 240.
-5*(g + 1)*(g + 192)/4
Suppose z**3/7 - 62*z**2/7 + 121*z/7 - 60/7 = 0. What is z?
1, 60
Determine m so that m**2 - 25*m - 1176 = 0.
-24, 49
Factor 25*b**4 + 95*b**3 - 295*b**2 + 205*b - 30.
5*(b - 1)**2*(b + 6)*(5*b - 1)
Factor -l**2/3 - 14*l/3 - 13/3.
-(l + 1)*(l + 13)/3
Factor 3*i**2 + 48*i - 780.
3*(i - 10)*(i + 26)
Solve -7*p**3/8 - 97*p**2/8 - 329*p/8 + 49/8 = 0.
-7, 1/7
Factor -2*q**4 - 6*q**3 + 2*q**2 + 6*q.
-2*q*(q - 1)*(q + 1)*(q + 3)
Factor 267*m**3/5 - 5877*m**2/5 + 66*m/5.
3*m*(m - 22)*(89*m - 1)/5
Factor 2*z**5 + 6*z**4 - 68*z**3 + 104*z**2 + 48*z - 128.
2*(z - 2)**3*(z + 1)*(z + 8)
Solve -15*j**5/4 - 65*j**4/4 - 65*j**3/4 - 15*j**2/4 = 0 for j.
-3, -1, -1/3, 0
Factor -w**4 + 27*w**3 - 240*w**2 + 700*w.
-w*(w - 10)**2*(w - 7)
Determine f so that 2*f**4 - 26*f**3 = 0.
0, 13
Determine o so that -o**4/6 + o**2/2 - o/3 = 0.
-2, 0, 1
Suppose 5*v**5 + 30*v**4 - 195*v**3 - 800*v**2 + 1680*v + 5760 = 0. Calculate v.
-8, -3, 4
Let -g**3 - 11871*g**2 - 46973547*g - 61958108493 = 0. What is g?
-3957
Let 5*x**5 - 15*x**4 + 5*x**3 + 15*x**2 - 10*x = 0. Calculate x.
-1, 0, 1, 2
Suppose b**5/9 + 2*b**4/3 + 10*b**3/9 - 11*b/9 - 2/3 = 0. What is b?
-3, -2, -1, 1
Factor 3*y**5/2 - 291*y**4 + 28803*y**3/2 - 27936*y**2 + 13824*y.
3*y*(y - 96)**2*(y - 1)**2/2
Factor 2*i**4/9 - 32*i**3/3 - 314*i**2/9 + 136*i/3.
2*i*(i - 51)*(i - 1)*(i + 4)/9
What is w in 2*w**4/9 + 200*w**3/9 + 4796*w**2/9 - 3400*w/3 + 578 = 0?
-51, 1
Solve 4*d**4 + 692*d**3 + 39672*d**2 + 740080*d - 780448 = 0.
-58, 1
Factor -y**4/3 - 268*y**3/3 - 7920*y**2 - 226800*y + 486000.
-(y - 2)*(y + 90)**3/3
Let -y**4 - 5*y**3 + 778*y**2 + 788*y - 1560 = 0. What is y?
-30, -2, 1, 26
Factor -5*d**2 + 55*d + 510.
-5*(d - 17)*(d + 6)
Find x, given that -5*x**4 - 255*x**3 + 525*x**2 - 265*x = 0.
-53, 0, 1
Find m such that m**3 + 53*m**2 + 50*m - 104 = 0.
-52, -2, 1
Factor 2*q**4/7 + 18*q**3/7 + 40*q**2/7 + 24*q/7.
2*q*(q + 1)*(q + 2)*(q + 6)/7
Factor -4*w**3/3 + 26*w**2/3 + 14*w/3.
-2*w*(w - 7)*(2*w + 1)/3
Let 15*j**5/4 + 87*j**4/4 + 21*j**3/2 - 51*j**2/2 - 57*j/4 + 15/4 = 0. Calculate j.
-5, -1, 1/5, 1
Factor -3*g**4 - 12*g**3 - 12*g**2.
-3*g**2*(g + 2)**2
Solve 2*a**5/13 = 0.
0
Factor -5*n**4 - 45*n**3 + 80*n**2 + 300*n.
-5*n*(n - 3)*(n + 2)*(n + 10)
Solve 12*o**4 + 8*o**3 - 84*o**2 - 128*o - 48 = 0 for o.
-2, -1, -2/3, 3
Factor 28*y**3 + 3116*y**2 + 6992*y + 1744.
4*(y + 2)*(y + 109)*(7*y + 2)
Factor v**4 + 12*v**3 + 46*v**2 + 60*v + 25.
(v + 1)**2*(v + 5)**2
Suppose -l**3/5 - 12*l**2/5 - 21*l/5 - 2 = 0. What is l?
-10, -1
Factor 2*l**3/3 - 124*l**2/3.
2*l**2*(l - 62)/3
Factor -3*o**3 + 27*o.
-3*o*(o - 3)*(o + 3)
Suppose 4*b**2 - 1648*b + 169744 = 0. What is b?
206
Find m such that 2*m**5/17 - 154*m**4/17 + 4310*m**3/17 - 51934*m**2/17 + 245456*m/17 - 389344/17 = 0.
4, 23
Find k, given that 4*k**3/5 + 19*k**2/5 + 11*k/5 - 4/5 = 0.
-4, -1, 1/4
Let -d**2/6 + 75*d/2 = 0. What is d?
0, 225
Factor -2*q**4 - 12*q**3 - 24*q**2 - 20*q - 6.
-2*(q + 1)**3*(q + 3)
Let 4*g**5 - 828*g**4 + 1592*