**2 - 30*j + 36 = 0.
-3, -2, 1
Find q, given that -4*q**4 + 152*q**3 + 652*q**2 + 832*q + 336 = 0.
-2, -1, 42
Factor -2*c**2 - 24*c.
-2*c*(c + 12)
Find n such that -2*n**4/11 + 12*n**3/11 - 6*n**2/11 - 52*n/11 + 48/11 = 0.
-2, 1, 3, 4
Factor p**4/3 + p**3/3 - p**2 - 5*p/3 - 2/3.
(p - 2)*(p + 1)**3/3
Solve -k**4/4 - 473*k**3/4 + 951*k**2/4 + 473*k/4 - 475/2 = 0.
-475, -1, 1, 2
Factor 3*p**3 - 15*p**2 - 24*p + 144.
3*(p - 4)**2*(p + 3)
Factor -2*v**2/9 - 14*v/9 - 4/3.
-2*(v + 1)*(v + 6)/9
Let 3844*j**4 - 2976*j**3 + 576*j**2 = 0. Calculate j.
0, 12/31
What is o in 6*o**2 - 22*o + 121/6 = 0?
11/6
Factor r**5/5 - 9*r**4/5 + 7*r**3/5 + 9*r**2 + 28*r/5.
r*(r - 7)*(r - 4)*(r + 1)**2/5
Factor 3*h**2 + 180*h - 567.
3*(h - 3)*(h + 63)
Find u, given that -9*u**5 - 186*u**4 - 795*u**3 - 450*u**2 = 0.
-15, -5, -2/3, 0
Suppose 2*r**5/5 + 100*r**4 - 1008*r**3/5 + 4*r**2/5 + 1006*r/5 - 504/5 = 0. What is r?
-252, -1, 1
Find t such that 2*t**5/3 - 20*t**4 - 2*t**3/3 + 20*t**2 = 0.
-1, 0, 1, 30
Factor -2*x**2/9 - 194*x/9 + 44.
-2*(x - 2)*(x + 99)/9
Factor 116*g**3 + 92*g**2 - 256*g + 48.
4*(g - 1)*(g + 2)*(29*g - 6)
Factor -3*i**3/5 + 418*i**2/5 + 703*i/5 + 282/5.
-(i - 141)*(i + 1)*(3*i + 2)/5
What is f in -5*f**4 - 245*f**3 + 530*f**2 + 980*f - 2040 = 0?
-51, -2, 2
Factor -y**2 + 5024*y - 6310144.
-(y - 2512)**2
Let 14*t**2/5 - 197*t/5 + 14/5 = 0. Calculate t.
1/14, 14
What is x in -5*x**3 - 180*x**2 - 345*x - 170 = 0?
-34, -1
Factor 2*b**2/5 - 32*b + 3198/5.
2*(b - 41)*(b - 39)/5
Let x**5/5 - x**4/5 - 13*x**3/5 + 5*x**2 - 12*x/5 = 0. Calculate x.
-4, 0, 1, 3
Determine n, given that -8*n**4 + 60*n**3 + 72*n**2 - 320*n = 0.
-5/2, 0, 2, 8
Factor -3*u**3/2 + 45*u**2/2 - 81*u/2 + 39/2.
-3*(u - 13)*(u - 1)**2/2
Let 4*t**4/3 - 164*t**3/3 - 1272*t**2 - 8208*t - 16992 = 0. Calculate t.
-6, 59
Factor 2*a**5/3 + 138*a**4 + 10652*a**3 + 1116988*a**2/3 + 5674030*a + 30806850.
2*(a + 15)**2*(a + 59)**3/3
Find l, given that -81*l**5/4 - 3483*l**4/4 + 3591*l**3/2 - 1209*l**2 + 270*l = 0.
-45, 0, 2/3
Suppose t**4/4 + 27*t**3/4 - 87*t**2/4 + 89*t/4 - 15/2 = 0. What is t?
-30, 1
Factor 3*s**2/8 + 21*s/4 + 147/8.
3*(s + 7)**2/8
Determine q, given that -2*q**2/17 - 70*q/17 - 4 = 0.
-34, -1
Factor 1125*y**5 + 2550*y**4 + 620*y**3 + 40*y**2.
5*y**2*(y + 2)*(15*y + 2)**2
Let -3*v**3 - 6*v**2 + 27*v + 54 = 0. What is v?
-3, -2, 3
Factor -2*r**2/11 + 18*r/11 - 40/11.
-2*(r - 5)*(r - 4)/11
Factor -i**2 + 38*i - 361.
-(i - 19)**2
Factor 4*y**4 - 180*y**3 + 2700*y**2 - 13500*y.
4*y*(y - 15)**3
Factor 3*k**2 + 15*k - 18.
3*(k - 1)*(k + 6)
Suppose 9*q**3/2 - 51*q**2/2 + 27*q/2 + 15/2 = 0. Calculate q.
-1/3, 1, 5
Suppose -88*l**3/3 - 167*l**2 + 160*l/3 - 4 = 0. What is l?
-6, 1/8, 2/11
Determine n so that 2*n**4/11 - 8*n**3/11 + 10*n**2/11 - 4*n/11 = 0.
0, 1, 2
Suppose 12*v**2 - 9*v = 0. What is v?
0, 3/4
Factor 3*v**3 + 708*v**2 + 40320*v - 172800.
3*(v - 4)*(v + 120)**2
Factor 3*p**5/7 + 138*p**4/7 + 1587*p**3/7.
3*p**3*(p + 23)**2/7
Factor s**3/3 - 17*s**2/3 + 80*s/3 - 64/3.
(s - 8)**2*(s - 1)/3
Factor 3*k**2/8 + 45*k/2 - 93/2.
3*(k - 2)*(k + 62)/8
Factor h**3/6 + h**2/2 - 2/3.
(h - 1)*(h + 2)**2/6
Solve 2*v**3/13 + 6*v**2/13 - 308*v/13 - 48 = 0.
-13, -2, 12
Factor -2*f**3/3 - 11*f**2/3 - f + 12.
-(f + 3)*(f + 4)*(2*f - 3)/3
Suppose -4*m**5 - 236*m**4 - 4908*m**3 - 41204*m**2 - 113152*m - 97104 = 0. Calculate m.
-21, -17, -2
What is s in s**3/2 - 11*s**2/2 + 2*s + 30 = 0?
-2, 3, 10
Determine k, given that 9*k**5/4 + 15*k**4/4 - 17*k**3 + 15*k**2 - 4*k = 0.
-4, 0, 2/3, 1
What is c in 15*c**5 - 125*c**4 - 140*c**3 = 0?
-1, 0, 28/3
What is p in -3*p**2/2 + 25*p + 17/2 = 0?
-1/3, 17
Find r such that -13*r**3/5 + 171*r**2/5 - 26*r/5 = 0.
0, 2/13, 13
Solve 2*j**3/9 - 116*j**2/3 + 6728*j/3 - 390224/9 = 0.
58
Suppose 32*v**4/21 - 80*v**3/21 + 50*v**2/21 = 0. What is v?
0, 5/4
Factor -4*d**2/5 - 10648*d/5 - 7086244/5.
-4*(d + 1331)**2/5
Suppose -2*p**2/3 + 148*p - 880/3 = 0. What is p?
2, 220
Find q such that 54*q**5 - 630*q**4 - 1734*q**3 - 434*q**2 + 192*q + 56 = 0.
-2, -1/3, 1/3, 14
Solve -r**4 + 70*r**3 + 3*r**2 - 208*r - 140 = 0 for r.
-1, 2, 70
Solve -147*k**5 - 6237*k**4 + 10068*k**3 - 4212*k**2 + 528*k = 0.
-44, 0, 2/7, 1
Factor -w**2/3 - 10*w/3 - 16/3.
-(w + 2)*(w + 8)/3
Factor y**3/2 - 9*y**2.
y**2*(y - 18)/2
Determine u so that -2*u**2/9 + 286*u/9 + 32 = 0.
-1, 144
Factor -5*x**2 + 380*x - 7220.
-5*(x - 38)**2
Find s, given that 2*s**4 + 16*s**3 + 26*s**2 - 60*s - 144 = 0.
-4, -3, 2
Factor 2*g**5 + 38*g**4 + 68*g**3.
2*g**3*(g + 2)*(g + 17)
Factor 2*v**3 + 14*v**2 + 32*v + 24.
2*(v + 2)**2*(v + 3)
Determine z so that z**4 + z**3 - 9*z**2 - 9*z = 0.
-3, -1, 0, 3
Suppose -3*m**5/7 + 9*m**4/7 + 15*m**3/7 - 9*m**2/7 - 12*m/7 = 0. What is m?
-1, 0, 1, 4
Solve -z**5 - 23*z**4 + 25*z**3 + 23*z**2 - 24*z = 0 for z.
-24, -1, 0, 1
Find d such that -2*d**3 - 22*d**2 - 48*d = 0.
-8, -3, 0
Suppose s**4/4 + 3*s**3 - 29*s**2/4 - 3*s + 7 = 0. What is s?
-14, -1, 1, 2
Find g such that 2*g**5/15 - 28*g**4/15 - 14*g**3/3 + 16*g**2/3 + 248*g/15 + 128/15 = 0.
-2, -1, 2, 16
Let -4*s**3 - 1372*s**2 = 0. Calculate s.
-343, 0
Factor 2*t**2 + 200*t + 5000.
2*(t + 50)**2
Factor -20*c**4/7 - 36*c**3/7 - 16*c**2/7.
-4*c**2*(c + 1)*(5*c + 4)/7
Solve 2*c**2 - 540*c = 0.
0, 270
Find u, given that 45*u**5 - 10470*u**4 + 591320*u**3 + 2055600*u**2 + 1939920*u + 556960 = 0.
-2, -2/3, 118
Suppose 5*z**2/3 + 140*z/3 - 1900/3 = 0. What is z?
-38, 10
Find r, given that -5*r**5/6 + 185*r**4/6 - 655*r**3/6 - 185*r**2/6 + 110*r = 0.
-1, 0, 1, 4, 33
Factor -n**4/11 - 316*n**3/11 - 37446*n**2/11 - 1972156*n/11 - 38950081/11.
-(n + 79)**4/11
Factor k**3/5 + 7*k**2/5 - 17*k/5 + 9/5.
(k - 1)**2*(k + 9)/5
Factor -4*a**3/7 + 21*a**2 + 349*a/7 + 78/7.
-(a - 39)*(a + 2)*(4*a + 1)/7
Suppose -2*j**4/3 + 88*j**3/3 - 82*j**2/3 - 172*j/3 = 0. What is j?
-1, 0, 2, 43
Find g such that 2*g**4/5 - 2*g**3/5 - 34*g**2/5 + 42*g/5 + 72/5 = 0.
-4, -1, 3
Factor -4*n**5 - 5*n**4 + 11*n**3 + 23*n**2 + 13*n + 2.
-(n - 2)*(n + 1)**3*(4*n + 1)
Factor 5*l**4 + 115*l**3 - 125*l**2 - 115*l + 120.
5*(l - 1)**2*(l + 1)*(l + 24)
Let 5*s**4 - 485*s**3 + 950*s**2 = 0. Calculate s.
0, 2, 95
Determine s, given that s**5/9 - 2*s**4 - 169*s**3/9 - 50*s**2/3 = 0.
-6, -1, 0, 25
Solve -x**2 + 5*x + 36 = 0 for x.
-4, 9
Factor -2*y**2/9 - 106*y/9 - 104/9.
-2*(y + 1)*(y + 52)/9
Determine r, given that 2*r**3 - 20*r**2 + 34*r - 16 = 0.
1, 8
Let b**2/5 - 2*b/5 - 8/5 = 0. What is b?
-2, 4
Let 4*q**2 + 1212*q + 12848 = 0. Calculate q.
-292, -11
Determine x, given that 4*x**3 + 1524*x**2 + 145920*x + 144400 = 0.
-190, -1
What is p in 36*p**2 + 116*p + 80 = 0?
-20/9, -1
Factor -f**2 + 41*f.
-f*(f - 41)
Determine a so that -a**4 + 14*a**3 - 69*a**2 + 140*a - 100 = 0.
2, 5
Factor 2*k**4/9 + 2*k**3/9 - 4*k**2/9.
2*k**2*(k - 1)*(k + 2)/9
Factor -3*f**2/7 + 297*f/7 + 606/7.
-3*(f - 101)*(f + 2)/7
Factor 16*a**3 + 24*a**2 + 9*a.
a*(4*a + 3)**2
Factor -2*k**2/9 - 1378*k/9 + 460/3.
-2*(k - 1)*(k + 690)/9
Find y, given that 5*y**2/3 - y - 8/3 = 0.
-1, 8/5
Factor 2*x**5/3 + 32*x**4/3 + 200*x**3/3 + 608*x**2/3 + 896*x/3 + 512/3.
2*(x + 2)**2*(x + 4)**3/3
Factor 5*g**2 - 1450*g.
5*g*(g - 290)
Suppose -u**2/5 + 4703*u/5 - 4702/5 = 0. What is u?
1, 4702
Factor -2*d**2/9 - 38*d + 116.
-2*(d - 3)*(d + 174)/9
Factor 26912*n**2/3 + 3248*n/3 + 98/3.
2*(116*n + 7)**2/3
What is x in -126*x**5 - 386*x**4 - 16*x**3 + 528*x**2 + 32*x - 32 = 0?
-2, -2/7, 2/9, 1
Factor 4*p**3/7 + 4*p**2/7 - 8*p - 96/7.
4*(p - 4)*(p + 2)*(p + 3)/7
Let 28*f**5 - 8*f**4 - 756*f**3 - 1296*f**2 + 432*f = 0. Calculate f.
-3, 0, 2/7, 6
Factor 4*x**3 - 348*x**2 - 708*x - 356.
4*(x - 89)*(x + 1)**2
Factor 2*u**2/9 - 1124*u/9 - 1130/3.
2*(u - 565)*(u + 3)/9
Let -12*t**3 + 772*t**2 + 1580*t + 796 = 0. What is t?
-1, 199/3
Factor -r**3/4 - 19*r**2/4 + 209*r/4 - 189/4.
-(r - 7)*(r - 1)*(r + 27)/4
Solve 4*c**2 - 28*c + 48 = 0 for c.
3, 4
Suppose -2*r**4/7 - 16*r**3/7 - 44*r**2/7 - 48*r/7 - 18/7 = 0. What is r?
-3, -1
Factor -r**5 + 295*r**4 - 21903*r**3 + 21609*r**2.
-r**2*(r - 147)**2*(r - 1)
Determine x so that -3*x**2 - 918*x - 915 = 0.
-305, -1
What is l in -2*l**2/5 - 110*l + 552/5 = 0?
-276, 1
Determine q so that q**5 + 29*q**4 + 154*q**3 - 952*q**2 - 1280*q + 2048 = 0.
-16, -2, 1, 4
What is g in 245*g**5/4 + 875*g**4/4 + 