*g**3 + 7689*g**2 + 5520*g + 576 = 0. Calculate g.
-8, -3, -1, -1/8
Factor 4*x**4 + 8*x**3 - 48*x**2 + 56*x - 20.
4*(x - 1)**3*(x + 5)
Find p, given that -2*p**5 + 36*p**3 + 64*p**2 + 30*p = 0.
-3, -1, 0, 5
Factor -4*n**3 - 96*n**2 + 324*n.
-4*n*(n - 3)*(n + 27)
What is d in 100*d**5 + 2420*d**4 + 20716*d**3 + 69500*d**2 + 42688*d - 135424 = 0?
-8, -23/5, 1
Factor -121*v**5/3 - 99*v**4 - 58*v**3 + 50*v**2/3 + 13*v - 3.
-(v + 1)**3*(11*v - 3)**2/3
Let 2*r**3/9 + 176*r**2/9 + 514*r/9 + 340/9 = 0. What is r?
-85, -2, -1
Let -2*u**4/3 - 324*u**3 - 117122*u**2/3 + 79056*u - 119072/3 = 0. What is u?
-244, 1
Factor -2*n**4/5 + 18*n**3/5 - 52*n**2/5 + 48*n/5.
-2*n*(n - 4)*(n - 3)*(n - 2)/5
Find z, given that -3*z**3/2 + 330*z**2 - 18150*z = 0.
0, 110
Suppose 2*b**2/19 + 40*b/19 + 128/19 = 0. Calculate b.
-16, -4
Suppose 3*b**2 + 135*b = 0. Calculate b.
-45, 0
What is u in 2*u**3 + 12*u**2 + 22*u + 12 = 0?
-3, -2, -1
Factor -2*z**5/3 - 168*z**4 - 32744*z**3/3 - 41664*z**2 - 123008*z/3.
-2*z*(z + 2)**2*(z + 124)**2/3
Find s, given that -2*s**3 + 84*s**2 + 2*s - 84 = 0.
-1, 1, 42
Suppose 2*z**3/11 - 14*z**2/11 + 28*z/11 - 16/11 = 0. What is z?
1, 2, 4
Factor 3*v**2/4 + 3*v/2 - 6.
3*(v - 2)*(v + 4)/4
Factor -4*t**2 + 192*t + 400.
-4*(t - 50)*(t + 2)
Suppose l**5 + 11*l**4 + 42*l**3 + 54*l**2 - 27*l - 81 = 0. Calculate l.
-3, 1
Find i, given that -15*i**3 - 24*i**2 + 2157*i - 858 = 0.
-13, 2/5, 11
Factor 11*r**4/2 - 30*r**3 + 48*r**2 - 8*r - 24.
(r - 2)**3*(11*r + 6)/2
Determine q so that -27*q**5 - 171*q**4 + 2076*q**3 + 2964*q**2 + 1008*q = 0.
-12, -2/3, 0, 7
Suppose -f**3/5 - 24*f**2/5 - 41*f/5 + 66/5 = 0. Calculate f.
-22, -3, 1
Factor 2*r**2/17 - 134*r/17 - 568/17.
2*(r - 71)*(r + 4)/17
Find k, given that k**3/6 - 95*k**2/3 - 383*k/6 - 32 = 0.
-1, 192
Factor -3*p**5/5 + 204*p**4/5 - 5202*p**3/5 + 58956*p**2/5 - 250563*p/5.
-3*p*(p - 17)**4/5
Solve -4*z**3/3 - 2*z**2 - 2*z/3 = 0.
-1, -1/2, 0
Determine f so that -5*f**2 + 95*f - 390 = 0.
6, 13
Factor -2*h**3/5 - 6*h**2 - 126*h/5 - 98/5.
-2*(h + 1)*(h + 7)**2/5
Find t, given that -5*t**3/9 + 317*t**2/9 + 194*t/9 - 128/9 = 0.
-1, 2/5, 64
Factor 4*z**4 + 12*z**3 - 16*z**2 - 48*z.
4*z*(z - 2)*(z + 2)*(z + 3)
Factor -2*x**4 - 24*x**3 - 86*x**2 - 120*x - 56.
-2*(x + 1)*(x + 2)**2*(x + 7)
Find k, given that 4*k**4 - 36*k**3 + 100*k**2 - 108*k + 40 = 0.
1, 2, 5
Determine s, given that 4*s**4/5 + 208*s**3/5 + 40*s**2 - 208*s/5 - 204/5 = 0.
-51, -1, 1
Factor 3*n**2 + 126*n + 1311.
3*(n + 19)*(n + 23)
Factor o**4/5 - 43*o**3/5 + 32*o**2 - 156*o/5.
o*(o - 39)*(o - 2)**2/5
What is n in -4*n**3 + 19852*n**2 - 24621440*n - 24641296 = 0?
-1, 2482
Let -15*q**5 - 110*q**4 - 130*q**3 + 260*q**2 + 145*q - 150 = 0. Calculate q.
-5, -3, -1, 2/3, 1
Factor 3*j**4 + 6*j**3 - 3*j**2 - 6*j.
3*j*(j - 1)*(j + 1)*(j + 2)
Find h, given that -16*h**4 - 506*h**3 - 3894*h**2 + 1856*h + 2560 = 0.
-16, -5/8, 1
Factor 2*u**3/3 - 26*u**2/3 + 100*u/3 - 112/3.
2*(u - 7)*(u - 4)*(u - 2)/3
Solve -x**2/2 - 23*x/2 = 0.
-23, 0
Solve 2*j**3/5 - 38*j**2/5 + 14*j - 34/5 = 0 for j.
1, 17
Suppose -2*a**3/3 + 4*a**2/9 + 2*a/9 = 0. What is a?
-1/3, 0, 1
Factor 2*t**4/7 + 2*t**3/7 - 16*t**2/7 - 24*t/7.
2*t*(t - 3)*(t + 2)**2/7
Factor -p**3/6 + 169*p**2/6 + p/6 - 169/6.
-(p - 169)*(p - 1)*(p + 1)/6
Factor t**2/7 - 62*t + 6727.
(t - 217)**2/7
What is i in -3*i**5/2 + 9*i**4/2 + 99*i**3/2 - 321*i**2/2 + 162*i - 54 = 0?
-6, 1, 6
Let 2*v**2/7 + 26*v + 528/7 = 0. Calculate v.
-88, -3
Factor 6*b**2 + 165*b + 81.
3*(b + 27)*(2*b + 1)
Factor 87*z**2/7 - 24*z - 12/7.
3*(z - 2)*(29*z + 2)/7
Factor 44*a**4 - 104*a**3 + 76*a**2 - 16*a.
4*a*(a - 1)**2*(11*a - 4)
Suppose -2*p**2 - 20156*p - 50783042 = 0. Calculate p.
-5039
Determine c so that -3*c**2/5 - 2286*c/5 - 435483/5 = 0.
-381
Determine f so that -f**5/4 + 11*f**4/2 - 77*f**3/2 + 100*f**2 - 421*f/4 + 77/2 = 0.
1, 2, 7, 11
Factor d**4/5 - 108*d**3 + 71262*d**2/5 + 88452*d + 670761/5.
(d - 273)**2*(d + 3)**2/5
Factor 2*f**3 + 42*f**2 - 48*f - 88.
2*(f - 2)*(f + 1)*(f + 22)
Suppose 2*j**5/5 + 76*j**4/5 = 0. What is j?
-38, 0
Factor -2*h**4 - 24*h**3 + 84*h**2 - 88*h + 30.
-2*(h - 1)**3*(h + 15)
Factor 306*u**2 - 321*u - 42.
3*(6*u - 7)*(17*u + 2)
Let t**2/4 - t/4 - 3 = 0. Calculate t.
-3, 4
Solve -2*k**4/9 - 46*k**3/9 - 112*k**2/3 - 640*k/9 + 1024/9 = 0 for k.
-8, 1
Suppose 3*i**3/7 + 15*i**2/7 - 99*i/7 + 81/7 = 0. Calculate i.
-9, 1, 3
Factor 4*d**3 - 28*d**2 + 24*d.
4*d*(d - 6)*(d - 1)
Let -m**4/3 - 4592*m**3/3 - 2635808*m**2 - 6051815168*m/3 - 1736870953216/3 = 0. Calculate m.
-1148
Factor -3*d**2 - 18*d - 27.
-3*(d + 3)**2
Determine l so that 135*l**5/8 - 189*l**4/8 - 213*l**3/8 + 105*l**2/8 - 3*l/4 = 0.
-1, 0, 1/15, 1/3, 2
Find a such that -2*a**3 - 74*a**2 - 124*a + 560 = 0.
-35, -4, 2
What is t in 2*t**3/5 + 462*t**2/5 + 5382*t + 5290 = 0?
-115, -1
Factor -z**3/11 + 84*z/11 + 160/11.
-(z - 10)*(z + 2)*(z + 8)/11
Determine m so that -m**5/4 + 13*m**4/4 + m**3/4 - 13*m**2/4 = 0.
-1, 0, 1, 13
Factor -g**2/4 + 45*g/4 + 23/2.
-(g - 46)*(g + 1)/4
What is q in 20*q**4/3 - 858*q**3 + 2534*q**2 - 7562*q/3 + 838 = 0?
1, 1257/10
Factor -5*d**4/2 + 10*d**3 + 75*d**2/2 - 45*d.
-5*d*(d - 6)*(d - 1)*(d + 3)/2
Find x such that x**3/6 - 69*x**2 - 277*x/2 - 208/3 = 0.
-1, 416
Factor 2*c**3/5 - 1024*c**2/5 + 130042*c/5 + 264196/5.
2*(c - 257)**2*(c + 2)/5
Let -3*i**5 - 6*i**4 + 6*i**2 + 3*i = 0. Calculate i.
-1, 0, 1
Let 2*g**2/5 - 18632*g/5 + 43393928/5 = 0. Calculate g.
4658
Let -2*a**5 - 10*a**4 - 10*a**3 + 10*a**2 + 12*a = 0. Calculate a.
-3, -2, -1, 0, 1
Let -3*z**2/5 - 141*z/5 + 156 = 0. Calculate z.
-52, 5
Factor -2*w**5/15 - 16*w**4 - 1660*w**3/3 - 4400*w**2 - 30250*w/3.
-2*w*(w + 5)**2*(w + 55)**2/15
Factor -3*d**5 - 24*d**4 + 18*d**3 + 168*d**2 + 201*d + 72.
-3*(d - 3)*(d + 1)**3*(d + 8)
Solve -5*p**3 - 9150*p**2 + 18315*p - 9160 = 0.
-1832, 1
Solve -3*u**4 - 138*u**3 - 1155*u**2 = 0 for u.
-35, -11, 0
Find j, given that -4*j**5 + 104*j**4 - 660*j**3 + 1584*j**2 - 1296*j = 0.
0, 2, 3, 18
Find j, given that -3*j**4 - 21*j**3 + 195*j**2 + 693*j = 0.
-11, -3, 0, 7
Factor -3*y**3/7 - 219*y**2 - 195072*y/7 + 196608/7.
-3*(y - 1)*(y + 256)**2/7
Let -10*p**4 + 5*p**3 + 45*p**2 - 20*p - 20 = 0. Calculate p.
-2, -1/2, 1, 2
Suppose j**3/10 + 13*j**2/10 + 23*j/10 + 11/10 = 0. What is j?
-11, -1
Factor -112*o**2 - 228*o - 8.
-4*(o + 2)*(28*o + 1)
Suppose 2*s**3/5 - 10*s**2 + 44*s/5 + 96/5 = 0. Calculate s.
-1, 2, 24
Find u, given that -2*u**4 - 488*u**3 - 30252*u**2 - 59048*u - 29282 = 0.
-121, -1
Factor 4*n**5 - 31*n**4 + 44*n**3 - 11*n**2 - 6*n.
n*(n - 6)*(n - 1)**2*(4*n + 1)
Factor -u**2/8 - 17*u/4 + 9.
-(u - 2)*(u + 36)/8
Factor 16*x**2/15 - 166*x/15 + 4.
2*(x - 10)*(8*x - 3)/15
Solve 3*q**3 + 51*q**2 - 174*q + 120 = 0 for q.
-20, 1, 2
Suppose 5*l**3 - 540*l**2 + 19440*l - 233280 = 0. Calculate l.
36
Factor -516*j**3/5 - 237*j**2/5 - 27*j/5.
-3*j*(4*j + 1)*(43*j + 9)/5
Factor 2*y**2/7 + 16*y/7 + 30/7.
2*(y + 3)*(y + 5)/7
Find o such that 5*o**3 - 5*o = 0.
-1, 0, 1
Factor -i**5 - i**4 + 2*i**3 + 2*i**2 - i - 1.
-(i - 1)**2*(i + 1)**3
Determine u, given that -18*u**4/7 + 562*u**3/7 - 2914*u**2/7 + 410*u - 500/7 = 0.
2/9, 1, 5, 25
What is m in -m**4/4 + 133*m**3/2 + 1355*m**2/4 = 0?
-5, 0, 271
Factor -5*f**2 - 195*f + 200.
-5*(f - 1)*(f + 40)
Determine p so that 5*p**2 - 40*p + 80 = 0.
4
Factor -2*k**2/9 - 94*k/9.
-2*k*(k + 47)/9
Find r, given that -3*r**5/8 - 3*r**4 - 51*r**3/8 + 21*r**2/4 + 63*r/2 + 27 = 0.
-3, -2, 2
Determine g so that 4*g**2 - 2744*g + 470596 = 0.
343
Determine k so that 4*k**5/3 - 4*k**3/3 = 0.
-1, 0, 1
Factor -5*h**5 + 135*h**4 + 1725*h**3 - 50255*h**2.
-5*h**2*(h - 23)**2*(h + 19)
Factor 3*k**4 - 6*k**3 - 3*k**2 + 6*k.
3*k*(k - 2)*(k - 1)*(k + 1)
Suppose 2*v**5/9 + 19*v**4/3 + 169*v**3/9 - 194*v**2/9 - 380*v/3 - 1000/9 = 0. What is v?
-25, -2, 5/2
Factor -5*b**3 - 2190*b**2 - 4365*b - 2180.
-5*(b + 1)**2*(b + 436)
Solve -9*m**2 + 209*m - 46 = 0.
2/9, 23
Factor 3*i**5/2 - 9*i**4 + 39*i**3/2 - 18*i**2 + 6*i.
3*i*(i - 2)**2*(i - 1)**2/2
Determine r, given that 3*r**4/5 + 9*r**3 - 3*r**2/5 - 9*r = 0.
-15, -1, 0, 1
Factor -5*n**3 + 425*n**2 + 885*n - 1305.
-5*(n - 87)*(n - 1)*(n + 3)
Find r, given that -2*r**3/7 - 62*r**2/7 - 260*r/7 = 0.
-26, -5, 0
Factor -2*r**3/17 - 6*r**2/17 + 12*r/17 + 16/17.
-2*(r -