**2/13 - 790*m/13 + 44/13 = 0.
-22, 1/9
Suppose -2*h**4/23 + 112*h**3/23 + 2*h**2/23 - 112*h/23 = 0. Calculate h.
-1, 0, 1, 56
Factor -95*p**2 - 275*p + 30.
-5*(p + 3)*(19*p - 2)
Let 2*s**4/17 - 106*s**3/17 - 574*s**2/17 - 366*s/17 + 1044/17 = 0. What is s?
-3, 1, 58
Factor -2*l**3 + 14520*l**2 - 35138400*l + 28344976000.
-2*(l - 2420)**3
Let -4*n**5/13 - 22*n**4/13 - 2*n**3 - 8*n**2/13 = 0. What is n?
-4, -1, -1/2, 0
Factor -2*g**3/11 - 56*g**2/11 - 54*g/11.
-2*g*(g + 1)*(g + 27)/11
Factor -5*w**5 - 20*w**4 - 25*w**3 - 10*w**2.
-5*w**2*(w + 1)**2*(w + 2)
Solve 5*v**2 + 1320*v + 87120 = 0 for v.
-132
Let 8*u**4/17 - 50*u**3/17 + 76*u**2/17 - 2*u = 0. What is u?
0, 1, 17/4
Suppose -3*n**5/4 + 21*n**3/2 - 9*n**2 - 39*n/4 + 9 = 0. Calculate n.
-4, -1, 1, 3
Suppose l**4/7 + l**3/7 - 11*l**2/7 - 9*l/7 + 18/7 = 0. Calculate l.
-3, -2, 1, 3
Factor 5*u**4 - 10*u**3 - 15*u**2 + 20*u + 20.
5*(u - 2)**2*(u + 1)**2
Determine r, given that 5*r**5 + 140*r**4 + 900*r**3 = 0.
-18, -10, 0
Factor 2*o**5 - 510*o**4 + 5904*o**3 - 17496*o**2.
2*o**2*(o - 243)*(o - 6)**2
Factor 2*b**2/11 - 20*b/11 + 18/11.
2*(b - 9)*(b - 1)/11
Determine l, given that 4*l**2/7 + 8*l/7 - 12/7 = 0.
-3, 1
Determine u so that -9*u**3 + 3*u**2 + 81*u - 27 = 0.
-3, 1/3, 3
Factor -4*o**3 - 24*o**2 + 60*o - 32.
-4*(o - 1)**2*(o + 8)
Solve t**4 + 5*t**3 - 7*t**2 - 5*t + 6 = 0.
-6, -1, 1
Factor 2*u**2/3 + 16*u/3 + 32/3.
2*(u + 4)**2/3
Solve 3*f**2 + 345*f + 2268 = 0 for f.
-108, -7
Find z, given that z**3 + 77*z**2 - 161*z - 237 = 0.
-79, -1, 3
Factor -3*s**3 - 168*s**2 + 2655*s - 2484.
-3*(s - 12)*(s - 1)*(s + 69)
Suppose -h**3 - 90*h**2 - 2025*h = 0. Calculate h.
-45, 0
Solve -2*w**3 + 12*w**2 + 18*w - 28 = 0.
-2, 1, 7
Determine p, given that -3*p**4 - 86*p**3 - 157*p**2 + 86*p + 160 = 0.
-80/3, -2, -1, 1
Suppose -2*h**4/13 + 16*h**3/13 + 46*h**2/13 - 60*h/13 = 0. What is h?
-3, 0, 1, 10
Factor -n**4 - 99*n**3 + 409*n**2 - 309*n.
-n*(n - 3)*(n - 1)*(n + 103)
Find a, given that 2*a**3/5 + 28*a**2/5 - 16*a - 256/5 = 0.
-16, -2, 4
Find h, given that 4*h**5 + 148*h**4 - 1352*h**3 + 3864*h**2 - 4284*h + 1620 = 0.
-45, 1, 3
Determine c, given that c**4 + 1240*c**3 - 1243*c**2 - 2482*c = 0.
-1241, -1, 0, 2
Determine h so that -6*h**5 + 178*h**4 + 450*h**3 - 50*h**2 - 444*h - 128 = 0.
-2, -1, -1/3, 1, 32
Determine d so that d**2/7 - 107*d/7 + 106/7 = 0.
1, 106
Suppose -28*t**5 + 92*t**4 + 88*t**3 - 32*t**2 = 0. Calculate t.
-1, 0, 2/7, 4
Factor -f**4/12 + f**2/4 - f/6.
-f*(f - 1)**2*(f + 2)/12
Factor 2*x**4 - 68*x**3 + 746*x**2 - 2856*x + 3528.
2*(x - 14)**2*(x - 3)**2
Find p such that 36*p**4 + 132*p**3 - 308*p**2 - 740*p + 1200 = 0.
-4, -3, 5/3
Determine n so that n**4/4 + 151*n**3/2 - n**2/4 - 151*n/2 = 0.
-302, -1, 0, 1
Solve 2*y**3 - 250*y**2 + 492*y = 0 for y.
0, 2, 123
Suppose 2*x**3 - 18*x**2 + 16*x = 0. Calculate x.
0, 1, 8
Factor 47*a**3/3 - 2*a**2/3.
a**2*(47*a - 2)/3
What is x in 2*x**3 - 118*x**2 + 2054*x - 11154 = 0?
13, 33
Solve -20*q**5 + 285*q**4 - 1450*q**3 + 3145*q**2 - 2700*q + 500 = 0.
1/4, 2, 5
Find s, given that -2*s**2/3 + 6104*s/3 - 4657352/3 = 0.
1526
Solve 5*d**5/2 - 5*d**4 + 5*d**3/2 = 0.
0, 1
Factor -75*l**4 - 460*l**3 - 960*l**2 - 720*l - 80.
-5*(l + 2)**3*(15*l + 2)
Factor 3*i**5 + 52*i**4/3 + 32*i**3 + 16*i**2 - 16*i/3.
i*(i + 2)**3*(9*i - 2)/3
Find j, given that 5*j**5/3 - 65*j**4 - 830*j**3/3 - 1270*j**2/3 - 285*j - 215/3 = 0.
-1, 43
Suppose -d**4 - 5941*d**3/3 - 1307460*d**2 - 287931600*d - 95832000 = 0. Calculate d.
-660, -1/3
Factor -3*x**2 + 57*x + 198.
-3*(x - 22)*(x + 3)
Factor 4*c**2 - 32*c - 36.
4*(c - 9)*(c + 1)
Factor -3*v**2 + 276*v - 273.
-3*(v - 91)*(v - 1)
Let g**2/3 - 5*g + 12 = 0. What is g?
3, 12
Determine a so that -2*a**2/5 + 68*a/5 + 574/5 = 0.
-7, 41
Suppose -a**5/2 + 105*a**4/2 - 447*a**3 + 1462*a**2 - 2124*a + 1152 = 0. What is a?
2, 3, 96
Factor m**3/8 + 71*m**2/8 + 139*m/8 + 69/8.
(m + 1)**2*(m + 69)/8
Factor -y**2/2 - 8*y - 32.
-(y + 8)**2/2
Factor -19*s**3/8 - 5*s**2/2 - s/8.
-s*(s + 1)*(19*s + 1)/8
Factor 3*i**2 - 123*i - 540.
3*(i - 45)*(i + 4)
Solve -2*j**2/3 + 80*j/3 + 86 = 0.
-3, 43
Factor r**5 + 2*r**4 - 2*r**2 - r.
r*(r - 1)*(r + 1)**3
What is t in 4*t**5 - 14*t**4 - 16*t**3 + 26*t**2 + 24*t = 0?
-1, 0, 3/2, 4
Factor -4*q**2/5 + 228*q/5 - 648.
-4*(q - 30)*(q - 27)/5
Suppose -2*k**3/9 - 10*k**2/9 + 56*k/9 + 64/9 = 0. What is k?
-8, -1, 4
What is z in 2*z**3/13 + 152*z**2/13 - 470*z/13 + 316/13 = 0?
-79, 1, 2
Let -8201250*v**2 + 8100*v - 2 = 0. Calculate v.
1/2025
Solve 5*h**5 + 15*h**4 - 10*h**3 - 30*h**2 + 5*h + 15 = 0 for h.
-3, -1, 1
Let -4*w**4/7 + 44*w**3/7 - 132*w**2/7 + 20*w/7 + 200/7 = 0. Calculate w.
-1, 2, 5
Factor 2*w**4/9 - 8*w**3/9 + 4*w**2/9 + 8*w/9 - 2/3.
2*(w - 3)*(w - 1)**2*(w + 1)/9
Factor r**3/8 + 81*r**2/4 + 39*r - 160.
(r - 2)*(r + 4)*(r + 160)/8
Factor 3*y**2 + 15*y - 42.
3*(y - 2)*(y + 7)
Factor -2*a**3/11 - 2*a**2/11 + 8*a/11 + 8/11.
-2*(a - 2)*(a + 1)*(a + 2)/11
Solve 3*q**3/7 - 18*q**2/7 - 120*q/7 = 0.
-4, 0, 10
Factor -2*h**3 - 36*h**2 - 120*h - 112.
-2*(h + 2)**2*(h + 14)
Solve 50*z**5 + 960*z**4 + 58*z**3 - 2420*z**2 + 1656*z - 304 = 0 for z.
-19, -2, 2/5, 1
Factor -g**2 - 112*g - 3136.
-(g + 56)**2
Solve -4*p**3 + 68*p**2 - 364*p + 588 = 0 for p.
3, 7
Factor -3*z**3 + 39*z**2 + 42*z.
-3*z*(z - 14)*(z + 1)
Find r, given that 4*r**3 + 528*r**2 - 1620*r = 0.
-135, 0, 3
Suppose -b**2/3 - 139*b + 1684/3 = 0. What is b?
-421, 4
Factor 4*v**4 + 1872*v**3 + 228184*v**2 + 2143440*v + 5244100.
4*(v + 5)**2*(v + 229)**2
Factor -v**3/3 - 32*v**2/3.
-v**2*(v + 32)/3
Determine g so that 3*g**5 - 18*g**4 + 39*g**3 - 36*g**2 + 12*g = 0.
0, 1, 2
Let -5*u**5/3 + 70*u**4/3 + 400*u**3 + 4250*u**2/3 + 3125*u/3 = 0. Calculate u.
-5, -1, 0, 25
Factor -3*x**4 + 3*x**3.
-3*x**3*(x - 1)
What is k in -145*k**2 - 350*k - 120 = 0?
-2, -12/29
Suppose -16*t**3 + 172*t**2 - 404*t - 112 = 0. Calculate t.
-1/4, 4, 7
Factor l**4/6 - 2*l**3 - 77*l**2/6 - 22*l - 34/3.
(l - 17)*(l + 1)*(l + 2)**2/6
Factor -2*t**3/5 + 88*t**2/5 - 210*t + 1764/5.
-2*(t - 21)**2*(t - 2)/5
Solve -5*l**2/3 - 1405*l/3 - 930 = 0 for l.
-279, -2
Factor -2*y**4/15 - 584*y**3/15 - 42632*y**2/15.
-2*y**2*(y + 146)**2/15
Determine m, given that 2*m**2 + 1336*m + 223112 = 0.
-334
Let g**5 + 2*g**4 - g**3 - 2*g**2 = 0. Calculate g.
-2, -1, 0, 1
Solve 2*y**2 + 76*y = 0 for y.
-38, 0
Factor t**5 + 38*t**4 - 121*t**3 + 82*t**2.
t**2*(t - 2)*(t - 1)*(t + 41)
Factor -3*v**2 - 19686*v - 32294883.
-3*(v + 3281)**2
Factor 3*t**5 + 84*t**4 + 663*t**3 + 1014*t**2.
3*t**2*(t + 2)*(t + 13)**2
Determine f, given that 3*f**5 - 3*f**4 - 12*f**3 + 12*f**2 = 0.
-2, 0, 1, 2
Factor -2*n**3/13 + 124*n**2/13 - 242*n/13 + 120/13.
-2*(n - 60)*(n - 1)**2/13
Factor -2*g**2 + 12*g.
-2*g*(g - 6)
Solve -26*c**4 + 108*c**3 + 166*c**2 - 288*c + 40 = 0 for c.
-2, 2/13, 1, 5
Let -12*g**3 + 1520*g**2 - 1008*g = 0. Calculate g.
0, 2/3, 126
Factor 8*n**3 + 36*n**2 - 8*n - 36.
4*(n - 1)*(n + 1)*(2*n + 9)
Factor d**3/4 + d**2/4 - 11*d/2 - 10.
(d - 5)*(d + 2)*(d + 4)/4
Factor -4*h**5 - 592*h**4 - 28804*h**3 - 440600*h**2 + 970000*h - 500000.
-4*(h - 1)**2*(h + 50)**3
Let 3*f**2/7 - 1056*f/7 - 3195/7 = 0. What is f?
-3, 355
Factor 5*a**4/4 + 19*a**3/2 + 19*a**2/4 - 7*a/2.
a*(a + 1)*(a + 7)*(5*a - 2)/4
Solve 3*m**3 + 2184*m**2 - 26532*m + 79920 = 0.
-740, 6
Let z**4 + z**3 - 3*z**2 - z + 2 = 0. What is z?
-2, -1, 1
Factor -4*f**4 + 20*f**3 + 24*f**2 - 128*f - 128.
-4*(f - 4)**2*(f + 1)*(f + 2)
Factor 9*r**4 - 1227*r**3 + 2830*r**2 - 2148*r + 536.
(r - 134)*(r - 1)*(3*r - 2)**2
Solve -4*h**4 - 244*h**3 + 12*h**2 + 724*h - 488 = 0 for h.
-61, -2, 1
Determine t so that 8*t**3/7 - 20*t**2 - 388*t/7 - 240/7 = 0.
-3/2, -1, 20
Factor u**2/3 + 1268*u/3 + 401956/3.
(u + 634)**2/3
Find p, given that -2*p**4/7 + 2*p**3 - 10*p**2/7 - 2*p + 12/7 = 0.
-1, 1, 6
Suppose 3*h**2/2 - 162*h - 999/2 = 0. Calculate h.
-3, 111
Find w such that w**5/3 + 7*w**4/9 - 4*w**3 + 20*w**2/9 = 0.
-5, 0, 2/3, 2
Solve 2*p**2/7 - 68*p/7 - 304/7 = 0 for p.
-4, 38
Factor -2*b**3 - 116*b**2 - 440*b - 432.
-2*(b + 2)**2*(b + 54)
Determine k so that 7*k**5/4 - 75*k**4/4 + 209*k**3/4 + 3*k**2/4 - 99*k - 27 = 0.
-1, -2/7, 3, 6
Suppose h**4/6 + 7*h**3/2 + 13*h**2/2 + 19*h/6 = 0. What is h?
-19, -1, 0
Factor 2420*x**2 + 1100*x + 125.
5*(22*x + 5)**2