uppose 2*t**2/5 + 188*t/5 + 4418/5 = 0. Calculate t.
-47
Factor 5*w**3 - 535*w**2 + 14575*w - 14045.
5*(w - 53)**2*(w - 1)
Solve -5*a**5 + 135*a**4 + 595*a**3 + 765*a**2 + 310*a = 0.
-2, -1, 0, 31
Solve 2*z**3/15 + 22*z**2/5 + 34*z - 578/15 = 0 for z.
-17, 1
Factor -2*f**3/11 - 82*f**2/11 - 798*f/11 + 882/11.
-2*(f - 1)*(f + 21)**2/11
Factor 4*s**5 + 4*s**4 - 40*s**3 + 32*s**2.
4*s**2*(s - 2)*(s - 1)*(s + 4)
Determine n so that 26*n**2/7 + 856*n/7 - 66/7 = 0.
-33, 1/13
Find u, given that -3*u**3/8 + 9*u**2/8 + 9*u/4 - 3 = 0.
-2, 1, 4
Factor 3*a**3/4 + 3*a**2 - 153*a/4 - 81/2.
3*(a - 6)*(a + 1)*(a + 9)/4
Let 2*m**3/5 + 216*m**2/5 + 3072*m/5 + 11776/5 = 0. Calculate m.
-92, -8
Find x, given that 3*x**4 + 1224*x**3/7 + 348*x**2/7 = 0.
-58, -2/7, 0
Let 5*p**2/8 + 79*p/8 + 24 = 0. Calculate p.
-64/5, -3
Factor 2*s**4 - 68*s**3 + 578*s**2.
2*s**2*(s - 17)**2
Determine k so that 2*k**3/13 - 18*k**2/13 - 42*k/13 - 22/13 = 0.
-1, 11
Factor -10*j**2 - 118*j/5 - 36/5.
-2*(j + 2)*(25*j + 9)/5
Suppose -4*d**3 + 50*d**2 - 168*d + 72 = 0. What is d?
1/2, 6
Suppose -2*n**2/21 - 184*n/21 + 376/21 = 0. Calculate n.
-94, 2
Let -2*b**2 - 58*b + 504 = 0. What is b?
-36, 7
Factor 3*j**3/5 - 33*j**2 - 744*j/5 + 2124/5.
3*(j - 59)*(j - 2)*(j + 6)/5
Factor -2*g**4 + 74*g**3 - 756*g**2 - 392*g + 27440.
-2*(g - 14)**3*(g + 5)
Determine m so that -100*m**3 + 420*m**2 + 384*m + 80 = 0.
-2/5, 5
Factor 3*l**3/5 - 15*l**2 - 1371*l/5 + 1443/5.
3*(l - 37)*(l - 1)*(l + 13)/5
Suppose 5*h**3/3 + 475*h**2 + 930*h - 11320/3 = 0. What is h?
-283, -4, 2
Factor -3*q**2/8 + 741*q/4 - 183027/8.
-3*(q - 247)**2/8
Find q, given that -2*q**2/5 - 196*q/5 - 3002/5 = 0.
-79, -19
Solve 4*v**5 + 4*v**4 - 28*v**3 - 52*v**2 - 24*v = 0.
-2, -1, 0, 3
Factor 12*x**2 + 404*x/3 + 88/3.
4*(x + 11)*(9*x + 2)/3
Determine s, given that s**2 - 2148*s + 1153476 = 0.
1074
Factor w**3/3 + 19*w**2/3 + 94*w/3 + 40.
(w + 2)*(w + 5)*(w + 12)/3
Find g such that 9*g**3/4 + 3*g**2/4 - 5*g/4 + 1/4 = 0.
-1, 1/3
Find c such that c**5/5 - 2*c**4/5 - 3*c**3/5 = 0.
-1, 0, 3
Solve 2*a**2/3 - 56*a/3 + 50 = 0.
3, 25
Factor 2*n**2/5 - 58*n/5.
2*n*(n - 29)/5
Determine o so that -o**3 - o**2 + o + 1 = 0.
-1, 1
Suppose -35*x**4/3 + 75*x**3 + 155*x**2/3 - 35*x = 0. What is x?
-1, 0, 3/7, 7
Let -6*y**2/7 + 92*y/7 - 30/7 = 0. Calculate y.
1/3, 15
Find d, given that d**4/2 - 55*d**3/2 - 61*d**2/2 + 283*d/2 - 84 = 0.
-3, 1, 56
Factor -3*j**2 + 30*j - 72.
-3*(j - 6)*(j - 4)
Suppose 2*k**5 - 20*k**4 + 44*k**3 + 64*k**2 - 190*k + 100 = 0. What is k?
-2, 1, 5
Solve 3*a**4 - 21*a**3 - 81*a**2 - 87*a - 30 = 0 for a.
-1, 10
What is j in -99*j**3/5 - 996*j**2/5 + 201*j - 198/5 = 0?
-11, 3/11, 2/3
Factor 23*y**3 - 49*y**2 + 29*y - 3.
(y - 1)**2*(23*y - 3)
Determine l so that -4*l**5 + 126*l**4 - 406*l**3 + 396*l**2 - 112*l = 0.
0, 1/2, 1, 2, 28
Determine n, given that 4*n**5 + 232*n**4 + 3124*n**3 - 6960*n**2 + 3600*n = 0.
-30, 0, 1
Let -2*y**3/17 - 206*y**2/17 + 418*y/17 - 210/17 = 0. Calculate y.
-105, 1
Let 5*f**3 - 735*f**2 + 36015*f - 588245 = 0. What is f?
49
Suppose g**5 + 11*g**4 - 18*g**3 - 72*g**2 = 0. What is g?
-12, -2, 0, 3
Factor -8*n**4 + 10*n**3 + 136*n**2 + 168*n.
-2*n*(n + 2)**2*(4*n - 21)
Let -2*w**3 - 4*w**2 + 32*w + 64 = 0. Calculate w.
-4, -2, 4
Find o such that -2*o**2/5 - 512*o/5 - 32768/5 = 0.
-128
Determine q, given that -q**4/3 - 5*q**3 - 35*q**2/3 + 5*q + 12 = 0.
-12, -3, -1, 1
Factor h**4/3 - 140*h**3/3 + 134*h**2/3 + 692*h/3 + 139.
(h - 139)*(h - 3)*(h + 1)**2/3
Solve j**5/7 + 72*j**4/7 + 185*j**3 - 72*j**2/7 - 1296*j/7 = 0.
-36, -1, 0, 1
Factor r**4/8 + 2*r**3 + 12*r**2 + 32*r + 32.
(r + 4)**4/8
Suppose -5*r**3 - 100*r**2 - 585*r - 810 = 0. Calculate r.
-9, -2
Solve -11*b**5/4 - 211*b**4/2 + 1201*b**3/4 + 112*b**2 - 455*b - 164 = 0.
-41, -1, -4/11, 2
Factor 5*i**2/4 + 11*i/2 + 2.
(i + 4)*(5*i + 2)/4
Solve -v**3/5 - 5128*v**2/5 - 6579221*v/5 - 13137938/5 = 0.
-2563, -2
Factor 5*i**5 + 40*i**4 + 90*i**3 - 135*i.
5*i*(i - 1)*(i + 3)**3
Factor z**2 + 67*z + 66.
(z + 1)*(z + 66)
Factor -2*x**3 - 74*x**2 - 140*x.
-2*x*(x + 2)*(x + 35)
What is a in -2*a**3 - 41*a**2 - 55*a + 38 = 0?
-19, -2, 1/2
Let -2*k**3 - 78*k**2 - 64*k + 456 = 0. Calculate k.
-38, -3, 2
Solve 4*h**5 - 20*h**4 - 132*h**3 - 124*h**2 + 128*h + 144 = 0.
-2, -1, 1, 9
Factor -r**3/8 + 15*r**2/8 + r/8 - 15/8.
-(r - 15)*(r - 1)*(r + 1)/8
Find q such that 2*q**2 - 48*q = 0.
0, 24
Factor 5*b**4 - 200*b**3 - 435*b**2 + 630*b.
5*b*(b - 42)*(b - 1)*(b + 3)
Factor f**4 + 4*f**3 + 4*f**2.
f**2*(f + 2)**2
Factor z**3 + 3*z**2 - 13*z - 15.
(z - 3)*(z + 1)*(z + 5)
Suppose c**2 + 11*c - 42 = 0. Calculate c.
-14, 3
Factor 2*x**2/7 + 18*x/7 + 40/7.
2*(x + 4)*(x + 5)/7
Factor 2*s**2/9 - 268*s/9 + 8978/9.
2*(s - 67)**2/9
Factor 2*i**3/3 + 60*i**2 - 2426*i/3 + 748.
2*(i - 11)*(i - 1)*(i + 102)/3
Solve 5*a**4 - 55*a**2 + 90*a - 40 = 0.
-4, 1, 2
Find g, given that -4*g**4 - 232*g**3 - 3840*g**2 - 19584*g = 0.
-34, -12, 0
Factor -h**2 + 66*h - 189.
-(h - 63)*(h - 3)
Factor f**3/5 + 207*f**2/5 - 1377*f + 10665.
(f - 15)**2*(f + 237)/5
Factor -4*o**2 - 372*o - 6624.
-4*(o + 24)*(o + 69)
What is h in 2*h**3/13 + 302*h**2/13 - 308*h/13 - 608/13 = 0?
-152, -1, 2
Factor -4*w**2 + 52*w - 120.
-4*(w - 10)*(w - 3)
Factor 3*v**5 + 24*v**4 - 60*v**3.
3*v**3*(v - 2)*(v + 10)
Solve -3*s**4/5 + 33*s**3/5 = 0.
0, 11
Factor -5*n**2 + 370*n.
-5*n*(n - 74)
Find h such that -3*h**2 - 5472*h - 10932 = 0.
-1822, -2
Find n, given that -n**4/5 - 2051*n**3/5 - 2049*n**2/5 + 2051*n/5 + 410 = 0.
-2050, -1, 1
Find z such that z**2 + 126*z - 387 = 0.
-129, 3
Suppose 3*m**3 + 1014*m**2 + 1011*m = 0. Calculate m.
-337, -1, 0
Suppose -4*j**3 + 452*j**2 - 3424*j + 6720 = 0. What is j?
4, 105
Factor -5*t**2 - 35*t - 30.
-5*(t + 1)*(t + 6)
Factor z**3/7 + 13*z**2/7 - z/7 - 13/7.
(z - 1)*(z + 1)*(z + 13)/7
Factor 3*c**3 + 114*c**2 + 819*c - 5292.
3*(c - 4)*(c + 21)**2
Factor -5*p**3 + 5855*p**2 + 5*p - 5855.
-5*(p - 1171)*(p - 1)*(p + 1)
Let -g**4/3 - 10*g**3/3 + 31*g**2/3 + 88*g/3 + 16 = 0. What is g?
-12, -1, 4
Determine y so that 2*y**5/11 - 14*y**3/11 - 4*y**2/11 + 24*y/11 + 16/11 = 0.
-2, -1, 2
Factor -3*w**3 + 6*w**2 + 57*w - 60.
-3*(w - 5)*(w - 1)*(w + 4)
Find a, given that -2*a**4/3 - 4*a**3 + 334*a**2/3 + 760*a - 2600/3 = 0.
-10, 1, 13
Suppose 2*p**4/3 + 410*p**3/3 + 804*p**2 + 4792*p/3 + 3184/3 = 0. Calculate p.
-199, -2
Find s, given that 25*s**2 - 60*s = 0.
0, 12/5
Solve v**2/3 + 5*v/3 = 0 for v.
-5, 0
Suppose -q**5/5 - 16*q**4/5 - 38*q**3/5 + 148*q**2/5 + 351*q/5 + 36 = 0. What is q?
-12, -5, -1, 3
Find t, given that -t**3/5 - 51*t**2/5 + t/5 + 51/5 = 0.
-51, -1, 1
Solve 3*f**5/7 + 9*f**4/7 - 6*f**3/7 - 18*f**2/7 + 3*f/7 + 9/7 = 0.
-3, -1, 1
Factor -2*s**3/15 - 968*s**2/15 - 386*s/3 - 964/15.
-2*(s + 1)**2*(s + 482)/15
Factor 5*s**2 - 130*s + 825.
5*(s - 15)*(s - 11)
Solve -2*f**5/9 - 20*f**4/9 + 4*f**3/9 + 40*f**2/9 - 2*f/9 - 20/9 = 0 for f.
-10, -1, 1
Factor -d**2/3 + 10*d - 29/3.
-(d - 29)*(d - 1)/3
Determine k, given that -3*k**5 + 21*k**4 - 51*k**3 + 51*k**2 - 18*k = 0.
0, 1, 2, 3
Solve -5*h**3/4 - 55*h**2/4 - 25*h/2 = 0.
-10, -1, 0
Factor 5*w**3/4 + 75*w**2/4 - 365*w/4 + 285/4.
5*(w - 3)*(w - 1)*(w + 19)/4
What is j in -j**5/2 - 7*j**4 + 66*j**3 - 153*j**2 + 189*j/2 = 0?
-21, 0, 1, 3
Factor 3*w**5 - 27*w**4 + 21*w**3 + 27*w**2 - 24*w.
3*w*(w - 8)*(w - 1)**2*(w + 1)
Factor -27*y**4/5 + 30*y**3 - 171*y**2/5 - 108*y/5.
-3*y*(y - 3)**2*(9*y + 4)/5
Determine k, given that k**5/3 + 4*k**4 + 8*k**3 - 38*k**2/3 - 35*k - 18 = 0.
-9, -3, -1, 2
Solve 3*l**2/5 - 18*l/5 + 3 = 0 for l.
1, 5
Factor -6*c**3 - 280*c**2 + 98*c + 188.
-2*(c - 1)*(c + 47)*(3*c + 2)
Factor 5*t**3 + 10*t**2 - 400*t.
5*t*(t - 8)*(t + 10)
Let k**2 + 38*k + 192 = 0. Calculate k.
-32, -6
Factor -3*f**5 + 6*f**4 + 12*f**3 - 24*f**2.
-3*f**2*(f - 2)**2*(f + 2)
Find i such that -5*i**3 - 20*i**2 + 75*i + 90 = 0.
-6, -1, 3
Solve 2*p**2 + 240*p = 0 for p.
-120, 0
Find k such that -3*k**3 + 90*k**2 + 189*k + 96 = 0.
-1, 32
Factor 3*d**3/7 + 15*d**2/7 - 24*d/7 - 36/7.
3*(d - 2)*(d + 1)*(d + 6)/7
Factor -3*n**4/8 - 7*n**3/8 + 43*n**2/8 + 15*n/8.
-n*(n - 3)*(n + 5)*(3*n + 1)/8
Factor c**3/8 - 3409*c**2/8 + 6815*c/8 - 3407/8.
(c - 3407)*(c - 1)**2/8
Find l, given that -2*l**2/7 + 2*l/7 + 12/7 = 0.
-2, 3
Factor -2*i**4 - 10*i**3 + 6*i**2