/5 + 6*r/5 - 78/5 = 0.
-1, 1, 13
Solve -k**5/5 - 11*k**4/5 + 6*k**3/5 + 28*k**2 - 40*k = 0 for k.
-10, -5, 0, 2
Suppose 14*v**5/11 - 4*v**4/11 - 98*v**3/11 + 112*v**2/11 - 24*v/11 = 0. Calculate v.
-3, 0, 2/7, 1, 2
Find t such that t**2/5 - 118*t/5 = 0.
0, 118
What is c in -c**4 - 9*c**3 - 27*c**2 - 31*c - 12 = 0?
-4, -3, -1
Solve -3*v**3 + 90*v**2 - 447*v + 360 = 0 for v.
1, 5, 24
Factor -3*z**3/4 - 19*z**2/4 - 21*z/4 - 5/4.
-(z + 1)*(z + 5)*(3*z + 1)/4
Let -6*j**5/5 + 21*j**4 - 147*j**3/5 + 48*j**2/5 = 0. Calculate j.
0, 1/2, 1, 16
Factor -2*p**5/7 + 36*p**4/7 + 38*p**3/7.
-2*p**3*(p - 19)*(p + 1)/7
Find i, given that 16900*i**4 - 1296880*i**3 + 24355984*i**2 + 20111616*i + 4064256 = 0.
-2/5, 504/13
Determine j so that 27*j**4 - 72*j**3 + 48*j**2 = 0.
0, 4/3
Factor -3*u**2/4 - 87*u/4 + 99.
-3*(u - 4)*(u + 33)/4
Solve -4*h**4/3 + 8*h**3 - 44*h**2/3 + 8*h = 0 for h.
0, 1, 2, 3
Factor -2*m**2 + 162*m + 164.
-2*(m - 82)*(m + 1)
Factor 7*y**2/2 - 12*y + 9/2.
(y - 3)*(7*y - 3)/2
Solve -w**4/10 + w**3/10 + w**2/2 + 3*w/10 = 0 for w.
-1, 0, 3
Factor -3*d**2 - 93*d - 552.
-3*(d + 8)*(d + 23)
Factor 75*i**5/2 + 120*i**4 + 36*i**3 - 96*i**2 + 24*i.
3*i*(i + 2)**2*(5*i - 2)**2/2
Suppose t**2/9 - 190*t/9 - 191/9 = 0. Calculate t.
-1, 191
Suppose b**4/2 - 9*b**3/2 + 12*b**2 - 10*b = 0. What is b?
0, 2, 5
Factor -i**3/4 - 193*i**2 + 773*i/4.
-i*(i - 1)*(i + 773)/4
Factor 4*q**4 - 16*q**3 + 12*q**2 + 16*q - 16.
4*(q - 2)**2*(q - 1)*(q + 1)
Factor -4*v**5 + 236*v**4 - 1320*v**3 + 2576*v**2 - 1696*v.
-4*v*(v - 53)*(v - 2)**3
Factor m**3 - m**2 - 14*m + 24.
(m - 3)*(m - 2)*(m + 4)
Find g, given that -45*g**3 + 1680*g**2 - 2180*g + 720 = 0.
2/3, 36
Factor -3*p**3 - 48*p**2 + 108*p.
-3*p*(p - 2)*(p + 18)
Let 2*a**4/7 - 46*a**2 + 936*a/7 - 88 = 0. What is a?
-14, 1, 2, 11
Suppose 90*u**4 - 96*u**3 + 34*u**2 - 4*u = 0. Calculate u.
0, 1/3, 2/5
Let 3*z**2/8 - 1035*z/2 + 357075/2 = 0. Calculate z.
690
Factor -2*v**4 - 6*v**3 - 4*v**2.
-2*v**2*(v + 1)*(v + 2)
Factor 5*w**2 + 5765*w.
5*w*(w + 1153)
Factor p**4/3 - 5*p**3 + 56*p**2/3.
p**2*(p - 8)*(p - 7)/3
Determine x, given that -x**5/2 - 4*x**4 - 9*x**3 - 8*x**2 - 5*x/2 = 0.
-5, -1, 0
Solve -3*l**5 + 165*l**4 - 2001*l**3 - 7557*l**2 - 696*l + 10092 = 0.
-2, 1, 29
Suppose 4*y**5 - 4*y**4 - 852*y**3 - 1676*y**2 - 832*y = 0. Calculate y.
-13, -1, 0, 16
Factor -k**2/2 - 15*k + 175/2.
-(k - 5)*(k + 35)/2
Factor -7*z**4/2 + 22*z**3 - 46*z**2 + 32*z.
-z*(z - 2)**2*(7*z - 16)/2
Find i such that -2*i**2 - 48*i = 0.
-24, 0
Suppose 63*a**5/4 + 183*a**4/4 - 573*a**3/4 + 417*a**2/4 - 45*a/2 = 0. What is a?
-5, 0, 3/7, 2/3, 1
Solve w**3 - 29*w**2 - 61*w - 31 = 0.
-1, 31
Factor -5*h**3 - 150*h**2 - 720*h.
-5*h*(h + 6)*(h + 24)
Solve 2*d**2/5 - 132*d/5 - 134/5 = 0 for d.
-1, 67
Factor 2*c**2/5 - 804*c/5 + 80802/5.
2*(c - 201)**2/5
Factor -3*t**2 - 42*t + 45.
-3*(t - 1)*(t + 15)
Let f**3/4 - 157*f**2/4 + 6083*f/4 + 6241/4 = 0. Calculate f.
-1, 79
Factor 4*d**4/3 - 20*d**3/3 + 32*d**2/3 - 16*d/3.
4*d*(d - 2)**2*(d - 1)/3
Factor 12*s**2 + 596*s - 200.
4*(s + 50)*(3*s - 1)
Factor 13*l**2/3 + 109*l + 50/3.
(l + 25)*(13*l + 2)/3
What is a in -3*a**3 + 39*a**2 - 78*a - 120 = 0?
-1, 4, 10
Find d such that -d**2 + 14*d = 0.
0, 14
Find p, given that 2*p**2/9 - 1136*p/3 + 161312 = 0.
852
Factor a**4/2 + 37*a**3/2 + 179*a**2 + 126*a - 324.
(a - 1)*(a + 2)*(a + 18)**2/2
Solve 4*m**4 + 92*m**3 + 172*m**2 + 84*m = 0.
-21, -1, 0
Factor -j**4 + 60*j**3 - 54*j**2 - 292*j - 177.
-(j - 59)*(j - 3)*(j + 1)**2
Factor -2*g**2/7 - 38*g/7 + 184/7.
-2*(g - 4)*(g + 23)/7
Find b such that 5*b**3/6 - 45*b**2/2 + 475*b/6 - 115/2 = 0.
1, 3, 23
What is o in 5*o**3 + 1170*o**2 + 1155*o - 2330 = 0?
-233, -2, 1
Determine x so that -18*x**4 + 705*x**3 + 609*x**2 - 354*x - 240 = 0.
-1, -1/2, 2/3, 40
Factor -330245*z**4 - 35980*z**3 - 980*z**2.
-5*z**2*(257*z + 14)**2
Factor -4*r**2 - 48*r - 44.
-4*(r + 1)*(r + 11)
What is d in 3*d**5/4 - 33*d**3/4 + 27*d**2/2 - 6*d = 0?
-4, 0, 1, 2
Solve 47*m**3 + 139*m**2 + 88*m - 4 = 0.
-2, -1, 2/47
Determine i, given that -i**2/4 + 37*i/2 - 1369/4 = 0.
37
Factor 6241*j**4/6 + 4187*j**3 + 25597*j**2/6 + 106*j + 2/3.
(j + 2)**2*(79*j + 1)**2/6
Factor 2*l**3/15 + 196*l**2/15 + 1664*l/5 + 3072/5.
2*(l + 2)*(l + 48)**2/15
Factor -5*c**4 + 270*c**3 - 3645*c**2.
-5*c**2*(c - 27)**2
What is b in 2*b**5/3 - 10*b**4 + 34*b**3/3 + 210*b**2 - 756*b + 720 = 0?
-5, 2, 3, 12
Find u, given that 90*u**4 + 300*u**3 - 3055*u**2/2 - 1065*u/2 - 45 = 0.
-6, -1/6, 3
Find m, given that 3*m**2/5 - 9*m - 48/5 = 0.
-1, 16
Suppose -3*p**3 - 336*p**2 - 663*p - 330 = 0. Calculate p.
-110, -1
Factor 4*l**2/7 - 20*l/7 - 24/7.
4*(l - 6)*(l + 1)/7
Factor z**2/3 - 22*z.
z*(z - 66)/3
Factor 2*s**3 + 74*s**2 + 72*s.
2*s*(s + 1)*(s + 36)
Factor -l**3 + 29*l**2 - 74*l - 104.
-(l - 26)*(l - 4)*(l + 1)
Suppose 27*k**2/7 + 52*k/7 - 4/7 = 0. Calculate k.
-2, 2/27
Find p, given that 38*p**2 - 180*p - 50 = 0.
-5/19, 5
Suppose j**5/5 + 2*j**4 + 9*j**3/5 = 0. Calculate j.
-9, -1, 0
Solve 15*j**5 + 320*j**4 + 105*j**3 = 0 for j.
-21, -1/3, 0
Factor -u**3 - 219*u**2 + u + 219.
-(u - 1)*(u + 1)*(u + 219)
What is g in -4*g**3 + 2564*g**2 - 2560*g = 0?
0, 1, 640
Determine b, given that 3*b**2/2 + 21*b/2 - 1470 = 0.
-35, 28
Suppose -3*u**4 + 9*u**3 + 3*u**2 - 9*u = 0. Calculate u.
-1, 0, 1, 3
Suppose -d**4/2 - 12*d**3 - 83*d**2 - 132*d - 121/2 = 0. Calculate d.
-11, -1
Find d, given that -3*d**3/5 + 111*d**2/5 + 24*d - 228/5 = 0.
-2, 1, 38
Find o, given that 2*o**2/3 + 24008*o/3 + 72048008/3 = 0.
-6002
Factor 3*t**3 + 57*t**2 + 282*t + 360.
3*(t + 2)*(t + 5)*(t + 12)
Factor x**4/8 + 3*x**3/8 + x**2/4.
x**2*(x + 1)*(x + 2)/8
Find o, given that 2*o**3/7 - 36*o**2/7 + 192*o/7 - 256/7 = 0.
2, 8
Factor 24*y**2 - 177*y + 63.
3*(y - 7)*(8*y - 3)
Factor -5*g**2 - 2130*g - 226845.
-5*(g + 213)**2
Factor 28*k**2/3 + 176*k/3 + 148/3.
4*(k + 1)*(7*k + 37)/3
Factor -3*o**2 + 7723*o + 5150.
-(o - 2575)*(3*o + 2)
Factor n**2 + 128*n - 2145.
(n - 15)*(n + 143)
Factor 2*j**5/11 + 10*j**4/11 + 20*j**3/11 + 20*j**2/11 + 10*j/11 + 2/11.
2*(j + 1)**5/11
Find v, given that -4*v**2 + 84*v + 184 = 0.
-2, 23
Determine i so that -56*i**5 + 180*i**4 + 308*i**3 - 544*i**2 + 48*i + 64 = 0.
-2, -2/7, 1/2, 1, 4
Factor 2*z**2/3 + 334*z/3.
2*z*(z + 167)/3
Factor l**4 + 8*l**3 - 48*l**2 - 256*l + 1024.
(l - 4)**2*(l + 8)**2
Let 4*k**4 - 88*k**3 + 524*k**2 - 440*k = 0. What is k?
0, 1, 10, 11
Let 2*a**2/9 + 6*a + 304/9 = 0. Calculate a.
-19, -8
What is b in b**4/4 - 47*b**3/4 + 765*b**2/4 - 4725*b/4 + 3375/2 = 0?
2, 15
Factor l**5 - 674*l**4 + 111525*l**3 + 690200*l**2 + 578000*l.
l*(l - 340)**2*(l + 1)*(l + 5)
Factor -5*h**2 + 20*h + 60.
-5*(h - 6)*(h + 2)
Factor i**4/11 + i**3/11 - 94*i**2/11 + 16*i.
i*(i - 8)*(i - 2)*(i + 11)/11
Factor 2*d**5 - 384*d**4 + 18812*d**3 - 36480*d**2 + 18050*d.
2*d*(d - 95)**2*(d - 1)**2
Factor -2*i**5/7 + 12*i**4/7 - 24*i**3/7 + 20*i**2/7 - 6*i/7.
-2*i*(i - 3)*(i - 1)**3/7
Factor 3*r**4 + 18*r**3 + 24*r**2.
3*r**2*(r + 2)*(r + 4)
Determine d so that 63*d**5 - 192*d**4 - 32*d**3 + 106*d**2 + 49*d + 6 = 0.
-1/3, -2/7, 1, 3
Find h such that 4*h**2 - 16 = 0.
-2, 2
Determine y so that -7056*y**4 + 42672*y**3 - 2020*y**2 + 24*y = 0.
0, 1/42, 6
What is a in -4*a**2 + 2208*a = 0?
0, 552
Suppose n**4/8 - 3*n**3/8 - 5*n**2/4 + 3*n = 0. Calculate n.
-3, 0, 2, 4
Find l, given that -l**5 + 82*l**4 + 86*l**3 - 244*l**2 - 413*l - 166 = 0.
-1, 2, 83
Factor 3*h**4 - 123*h**2 + 216*h + 336.
3*(h - 4)**2*(h + 1)*(h + 7)
Suppose 4*g**4 - 352*g**3 + 8712*g**2 - 41984*g + 33620 = 0. What is g?
1, 5, 41
Factor r**4 - 2865*r**3 - 17214*r**2 - 34444*r - 22968.
(r - 2871)*(r + 2)**3
Factor -f**5/7 - 87*f**4/7 - 419*f**3/7 - 745*f**2/7 - 576*f/7 - 164/7.
-(f + 1)**3*(f + 2)*(f + 82)/7
Factor -2*m**4 + 4*m**3.
-2*m**3*(m - 2)
Solve -o**2 + 133*o + 134 = 0.
-1, 134
Solve -2*n**2/3 + 26*n/3 - 20 = 0.
3, 10
Factor 375*r**4/7 - 1425*r**3/7 + 1755*r**2/7 - 891*r/7 + 162/7.
3*(r - 2)*(5*r - 3)**3/7
Factor -2*o**2/7 + 152*o/7.
-2*o*(o - 76)/7
Factor 25*q**4/3 - 205*q**3/3 - 176*q**2/3 - 12*q.
q*(q - 9)*(5*q + 2)**2/3
Factor r**3/4 + 205*r**2/4 - 103*r/2.
r*(r - 1)*(r + 206)/4
Let -11*x**2 - 14*x - 3 = 0. What is x?
-1, -3/11
Find c, given that -4*c**3 - 12*c**2 + 16*c = 0.
-4, 0, 1
Let -14*t**5 - 62*t**4 + 942*t**3