1701/2 = 0.
9, 14
Suppose -3*z**4 + 12*z**3 + 21*z**2 - 66*z - 72 = 0. Calculate z.
-2, -1, 3, 4
Determine p, given that 2*p**2/23 + 1800*p/23 + 405000/23 = 0.
-450
What is l in -2*l**2/9 + 58*l/9 - 56/9 = 0?
1, 28
Factor -m**3/4 + 213*m**2/4 - 10323*m/4 - 110889/4.
-(m - 111)**2*(m + 9)/4
Find r, given that 2523*r**2 - 4524*r + 2028 = 0.
26/29
Factor -z**3/6 - 5*z**2/3 - 17*z/6 - 4/3.
-(z + 1)**2*(z + 8)/6
Factor -2*k**4 - 4*k**3 + 30*k**2 + 64*k + 32.
-2*(k - 4)*(k + 1)**2*(k + 4)
Factor 3*z**3/7 - 48*z**2/7 - 51*z/7.
3*z*(z - 17)*(z + 1)/7
Factor 2*g**2/3 + 6038*g/3 + 2012.
2*(g + 1)*(g + 3018)/3
Factor j**5/2 + 17*j**4 + 349*j**3/2 + 510*j**2 + 450*j.
j*(j + 2)**2*(j + 15)**2/2
Suppose -2*k**3/7 + 102*k**2 - 712*k/7 = 0. Calculate k.
0, 1, 356
Find h such that -3*h**5 - 39*h**4 - 102*h**3 + 186*h**2 + 105*h - 147 = 0.
-7, -1, 1
Factor 3*r**4 - 1785*r**3 + 264618*r**2 + 269988*r - 532824.
3*(r - 298)**2*(r - 1)*(r + 2)
Determine y so that -4*y**4 - 12*y**3 + 8*y**2 + 48*y + 32 = 0.
-2, -1, 2
Factor -4*h**4 + 76*h**3 + 252*h**2 + 260*h + 88.
-4*(h - 22)*(h + 1)**3
Factor -4*p**4 - 104*p**3 - 836*p**2 - 1936*p.
-4*p*(p + 4)*(p + 11)**2
Let -3*s**2 + 108*s + 111 = 0. Calculate s.
-1, 37
Factor 27*q**2/7 + 42*q - 33/7.
3*(q + 11)*(9*q - 1)/7
What is h in 153*h**5 - 465*h**4 - 1359*h**3 - 711*h**2 + 30*h = 0?
-1, 0, 2/51, 5
Suppose 2*c**4 + 8*c**3 - 54*c**2 - 140*c + 400 = 0. What is c?
-5, 2, 4
Solve 7*v**4 - 55*v**3/4 + 6*v**2 + 5*v/4 - 1/2 = 0.
-2/7, 1/4, 1
Determine c, given that 2*c**4 - 2*c**3 - 6*c**2 + 2*c + 4 = 0.
-1, 1, 2
Suppose -d**2 + 9*d - 18 = 0. Calculate d.
3, 6
Let 3*z**2 + 11226*z + 10501923 = 0. Calculate z.
-1871
Factor i**4/2 + 4*i**3 + 19*i**2/2 + 6*i.
i*(i + 1)*(i + 3)*(i + 4)/2
Suppose 3*t**2 - 192*t - 195 = 0. Calculate t.
-1, 65
Let -5*x**5 + 115*x**4 - 960*x**3 + 3580*x**2 - 6080*x + 3840 = 0. Calculate x.
2, 3, 8
Factor -w**2/3 - 5204*w/3 - 6770404/3.
-(w + 2602)**2/3
Factor -s**2 + 41*s/4 + 459/4.
-(s - 17)*(4*s + 27)/4
Let -79*h**2/5 - 76*h/5 + 3/5 = 0. Calculate h.
-1, 3/79
Factor -2*x**4/3 - 2*x**3/3 + 32*x**2/3 - 40*x/3.
-2*x*(x - 2)**2*(x + 5)/3
Determine b so that -4*b**4/3 - 76*b**3/3 + 80*b**2/3 = 0.
-20, 0, 1
Determine b, given that -20*b**4 - 84*b**3 - 36*b**2 + 116*b + 24 = 0.
-3, -2, -1/5, 1
Find c such that -3*c**4/2 + 54*c**3 - 429*c**2 - 1026*c - 1083/2 = 0.
-1, 19
Suppose j**4/6 - j**3/3 - 9*j**2/2 + 28*j/3 + 40/3 = 0. Calculate j.
-5, -1, 4
Solve -4*b**3/7 - 3648*b**2/7 - 1108992*b/7 - 112377856/7 = 0 for b.
-304
Factor 3*n**2/2 - 114*n + 225/2.
3*(n - 75)*(n - 1)/2
Factor 5*k**4/6 - 35*k**3/6 + 35*k**2/3 - 20*k/3.
5*k*(k - 4)*(k - 2)*(k - 1)/6
Factor -y**3/3 + 4*y**2/3 + 20*y.
-y*(y - 10)*(y + 6)/3
Factor -m**5 + 9*m**4 - 14*m**3 - 2*m**2 + 15*m - 7.
-(m - 7)*(m - 1)**3*(m + 1)
Factor -2*y**3 - 20*y**2 + 22*y.
-2*y*(y - 1)*(y + 11)
Find j such that 5*j**5/2 + 5345*j**4/2 + 26565*j**3 + 95445*j**2 + 286065*j/2 + 142965/2 = 0.
-1059, -3, -1
Factor -2*u**3/11 - 6*u**2/11 + 8/11.
-2*(u - 1)*(u + 2)**2/11
Factor -t**3 - 11*t**2 + 25*t - 13.
-(t - 1)**2*(t + 13)
Find b, given that -2*b**2 - 16*b - 32 = 0.
-4
Suppose 24*u**3 - 52845*u**2 + 29086218*u + 3636603 = 0. Calculate u.
-1/8, 1101
Find c such that -2*c**5/5 - 8*c**4/5 + 28*c**3/5 + 72*c**2/5 - 18*c = 0.
-5, -3, 0, 1, 3
Find c such that -4*c**2 + 192*c - 2304 = 0.
24
Find c, given that 27*c**2/2 - 165*c - 816 = 0.
-34/9, 16
Find w, given that 3*w**3 - 12*w**2 + 3*w + 18 = 0.
-1, 2, 3
Factor -l**3/4 + 3*l**2/4 + 5*l/2.
-l*(l - 5)*(l + 2)/4
Suppose 85*x**4 - 915*x**3 + 1310*x**2 + 360*x = 0. What is x?
-4/17, 0, 2, 9
Factor 197*a**2/4 + 987*a/4 + 5/2.
(a + 5)*(197*a + 2)/4
Solve v**3/4 - v**2 + v = 0.
0, 2
Find g such that -2*g**3/11 - 930*g**2/11 - 84*g + 1856/11 = 0.
-464, -2, 1
Determine g so that -5*g**3 + 210*g**2 + 665*g + 450 = 0.
-2, -1, 45
Factor 2*d**5/9 - 14*d**4/3 - 188*d**3/9 - 292*d**2/9 - 22*d - 50/9.
2*(d - 25)*(d + 1)**4/9
Suppose 245*m**5 + 10640*m**4 + 122485*m**3 + 143470*m**2 - 112980*m + 17640 = 0. What is m?
-21, -2, 2/7
Find z, given that -2*z**4/11 - 10*z**3/11 - 18*z**2/11 - 14*z/11 - 4/11 = 0.
-2, -1
Determine u, given that -3*u**5/2 - 87*u**4/2 - 489*u**3/2 + 2019*u**2/2 - 1104*u + 384 = 0.
-16, 1
Factor 2*r**2/3 + 34*r/3 + 28.
2*(r + 3)*(r + 14)/3
Factor a**4/4 - a**3 - a**2/2 + 3*a + 9/4.
(a - 3)**2*(a + 1)**2/4
What is m in m**5 + m**4 - 15*m**3 - 9*m**2 + 54*m = 0?
-3, 0, 2, 3
Factor 2*u**3/3 + 10*u**2/3 - 92*u/3 + 80/3.
2*(u - 4)*(u - 1)*(u + 10)/3
Find r, given that 3*r**4 - 36*r**3 - 294*r**2 + 684*r - 357 = 0.
-7, 1, 17
Factor 5*o**4 + 55*o**3 - 60*o**2 - 1280*o + 1280.
5*(o - 4)*(o - 1)*(o + 8)**2
Factor w**3 + 2*w**2 - 21*w + 18.
(w - 3)*(w - 1)*(w + 6)
What is r in 4*r**5 + 323*r**4 + 8967*r**3 + 92378*r**2 + 187252*r - 52728 = 0?
-26, -3, 1/4
Factor 2*p**2 - 1216*p + 1214.
2*(p - 607)*(p - 1)
Suppose 3*l**2 + 28*l - 20 = 0. Calculate l.
-10, 2/3
Suppose -i**5 + 105*i**4 - 2792*i**3 + 1024*i**2 + 44928*i - 43264 = 0. Calculate i.
-4, 1, 4, 52
Solve 55*o**2 - 120*o + 20 = 0.
2/11, 2
Determine r so that 27*r**3/7 - 30*r**2/7 + r/7 + 2/7 = 0.
-2/9, 1/3, 1
Factor 2*b**2/13 + 58*b/13 + 420/13.
2*(b + 14)*(b + 15)/13
Find l, given that -2*l**2 - 34*l + 120 = 0.
-20, 3
Factor -2*s**2 + 1850*s - 1848.
-2*(s - 924)*(s - 1)
Let -y**2/6 + 325*y/6 - 54 = 0. Calculate y.
1, 324
Factor -2*b**2/17 + 180*b/17.
-2*b*(b - 90)/17
Find z such that 3*z**2 - 3*z - 126 = 0.
-6, 7
Solve 4*v**2/5 - 24652*v/5 + 24648/5 = 0.
1, 6162
Factor 3*x**3/7 + 1566*x**2/7 + 211968*x/7 + 1966080/7.
3*(x + 10)*(x + 256)**2/7
Determine o so that -2*o**5 + 8*o**4 + 72*o**3 + 148*o**2 + 122*o + 36 = 0.
-2, -1, 9
Factor -v**5/3 + 3632*v**4/3 - 1648928*v**3 + 2994453248*v**2/3 - 679740887296*v/3.
-v*(v - 908)**4/3
Factor -2*k**4 + 54*k**3 - 50*k**2 - 54*k + 52.
-2*(k - 26)*(k - 1)**2*(k + 1)
Suppose 2*j**4/9 - 8*j**3 - 1378*j**2/9 - 128*j + 2600/9 = 0. What is j?
-13, -2, 1, 50
Solve 5*a**4 + 135*a**3 + 1085*a**2 + 2385*a + 1430 = 0.
-13, -11, -2, -1
Solve 5*h**3 + 75*h**2 + 190*h + 120 = 0 for h.
-12, -2, -1
What is z in 3*z**4/2 - 17*z**3/2 - 9*z**2 + 34*z + 12 = 0?
-2, -1/3, 2, 6
Determine d so that -d**4/3 - 5*d**3/3 + 47*d**2/3 - 13*d - 30 = 0.
-10, -1, 3
Factor t**2 - 18*t.
t*(t - 18)
Find d, given that d**2 - 1120*d + 1119 = 0.
1, 1119
Solve 2*r**2/9 + 28*r/9 + 16/3 = 0.
-12, -2
Solve j**4/3 - 19*j**3/3 + 6*j**2 = 0.
0, 1, 18
Solve 2*x**4/7 - 8*x**3/7 - 6*x**2/7 + 20*x/7 + 16/7 = 0.
-1, 2, 4
Let 4*q**3/7 + 20*q**2/7 - 128*q/7 + 144/7 = 0. What is q?
-9, 2
Factor -3*y**3/2 - 79*y**2/2 - 11*y + 52.
-(y - 1)*(y + 26)*(3*y + 4)/2
Factor -2*o**3/9 + 1426*o**2 - 3050214*o + 2174802582.
-2*(o - 2139)**3/9
Factor -2*y**5/5 - 2*y**4.
-2*y**4*(y + 5)/5
Factor j**2/7 - 54*j/7 + 104.
(j - 28)*(j - 26)/7
Factor 22*x**4/5 + 48*x**3/5 + 6*x**2 + 4*x/5.
2*x*(x + 1)**2*(11*x + 2)/5
Find i, given that 4*i**5 + 8*i**4 - 648*i**3 + 2288*i**2 + 4228*i - 5880 = 0.
-15, -2, 1, 7
Solve -5*c**4 - 70*c**3 - 365*c**2 - 840*c - 720 = 0 for c.
-4, -3
Factor -4*c**4/9 + 1024*c**3/9 - 1021*c**2/9 + 85*c/3.
-c*(c - 255)*(2*c - 1)**2/9
Factor -2*f**2 - 216*f - 5832.
-2*(f + 54)**2
Determine u so that -2*u**5 + 14*u**4 - 14*u**3 - 46*u**2 + 88*u - 40 = 0.
-2, 1, 2, 5
What is y in 3*y**4 + 201*y**3 + 3465*y**2 + 3267*y = 0?
-33, -1, 0
What is l in 4*l**4/3 + 20*l**3/3 - 20*l**2 - 20*l/3 + 56/3 = 0?
-7, -1, 1, 2
Determine f so that -f**3/5 - 1417*f**2/5 - 100536*f - 501264/5 = 0.
-708, -1
Solve l**3/4 - 19*l**2/2 - l/4 + 19/2 = 0 for l.
-1, 1, 38
Factor -10*y**3/3 + 53*y**2/3 - 55*y/3 + 4.
-(y - 4)*(y - 1)*(10*y - 3)/3
Factor u**2/3 + 2*u - 7/3.
(u - 1)*(u + 7)/3
Factor -25*g**5/4 + 895*g**4/2 + 719*g**3/4 + 18*g**2.
-g**2*(g - 72)*(5*g + 1)**2/4
Factor 3*m**5 + 9*m**4 - 30*m**3 - 156*m**2 - 216*m - 96.
3*(m - 4)*(m + 1)*(m + 2)**3
Factor -5*d**2 + 6345*d - 18990.
-5*(d - 1266)*(d - 3)
Suppose -3*h**4 + 12*h**3 + 9*h**2 - 30*h - 24 = 0. What is h?
-1, 2, 4
Factor s**3 - 37*s**2 + 280*s + 1200.
(s - 20)**2*(s + 3)
What is q in -2*q**3/5 + 416*q**2/5 - 82*q - 828/5 = 0?
-1, 2, 207
What is t in 2*t**5/15 - 4*t**4/15 - 28*t**3/15 - 16*t**2/15 + 26*t/15 + 4/3 = 0?
-2, -1, 1, 5
Solve -s**5/4 - 25*s**4 - 143*s**3/2 + 122*s**2 + 287*s/4 - 97 = 0.
-97, -4, -1, 1
Solve 5*q**4 + 35*q**3 + 