12*q**2 + 36*q + 108 = 0.
-3, 3
Solve q**2/4 + 145*q/4 - 73/2 = 0 for q.
-146, 1
Factor -3*r**3 + 18*r**2 - 27*r + 12.
-3*(r - 4)*(r - 1)**2
Factor 3*o**2 + 141*o - 294.
3*(o - 2)*(o + 49)
Factor 3*d**2/4 - 69*d/4 + 57.
3*(d - 19)*(d - 4)/4
Find d such that 2*d**2/9 - 16*d/9 - 32/3 = 0.
-4, 12
Factor -2*r**3 - 498*r**2 + 8*r + 1992.
-2*(r - 2)*(r + 2)*(r + 249)
Factor -2*c**2/3 + 4*c + 110/3.
-2*(c - 11)*(c + 5)/3
Find f, given that 4*f**4 - 4*f**3 - 40*f**2 + 16*f + 96 = 0.
-2, 2, 3
Let 3*p**5 + 63*p**4 + 378*p**3 + 930*p**2 + 963*p + 351 = 0. Calculate p.
-13, -3, -1
Determine s so that -s**4/3 + 7*s**2 + 20*s/3 = 0.
-4, -1, 0, 5
Factor 3*c**3 + 40317*c**2/4 + 8464680*c - 2116800.
3*(c + 1680)**2*(4*c - 1)/4
Solve -3*n**4 - 96*n**3 - 249*n**2 + 384*n + 1044 = 0.
-29, -3, -2, 2
Determine k, given that 2*k**4 - 40*k**3 - 86*k**2 - 44*k = 0.
-1, 0, 22
Find b, given that 4*b**3 - 20*b**2 + 24*b = 0.
0, 2, 3
Factor -3*w**2 - 174*w + 549.
-3*(w - 3)*(w + 61)
Factor -20*a**5 - 308*a**4 + 192*a**3.
-4*a**3*(a + 16)*(5*a - 3)
Determine x so that -5*x**5 - 180*x**4 - 2145*x**3 - 8450*x**2 = 0.
-13, -10, 0
Factor -6*c**3 - 254*c**2/3 - 910*c/3 - 98/3.
-2*(c + 7)**2*(9*c + 1)/3
Factor 5*r**5 - 40*r**4 + 10*r**3 + 400*r**2 - 375*r.
5*r*(r - 5)**2*(r - 1)*(r + 3)
Solve 2*g**2 - 62*g - 64 = 0 for g.
-1, 32
Suppose -15*t**5 + 70*t**4 + 155*t**3 - 190*t**2 - 140*t + 120 = 0. Calculate t.
-2, -1, 2/3, 1, 6
Factor -3*d**2 + 27*d - 60.
-3*(d - 5)*(d - 4)
Factor -l**2 + 24*l - 144.
-(l - 12)**2
Factor r**4/3 - 22*r**3/3 + 56*r**2 - 544*r/3 + 640/3.
(r - 10)*(r - 4)**3/3
Factor -2*d**2/13 - 12*d/13 - 10/13.
-2*(d + 1)*(d + 5)/13
Solve 2*d**4/7 - 48*d**3/7 + 270*d**2/7 - 568*d/7 + 408/7 = 0 for d.
2, 3, 17
Determine g, given that -49*g**3 - 2177*g**2 + 1256*g - 180 = 0.
-45, 2/7
Suppose 2*g**2 - 1588*g + 315218 = 0. What is g?
397
Let p**5/5 + 13*p**4/5 + 33*p**3/5 + 31*p**2/5 + 2*p = 0. What is p?
-10, -1, 0
Factor -m**4 - 14*m**3 - 13*m**2.
-m**2*(m + 1)*(m + 13)
Factor k**4/10 + 2*k**3/5 - 3*k**2/5 - 2*k/5 + 1/2.
(k - 1)**2*(k + 1)*(k + 5)/10
Factor -5*y**5 - 60*y**4 + 210*y**3 - 220*y**2 + 75*y.
-5*y*(y - 1)**3*(y + 15)
Factor -n**3 - 67*n**2 - 1363*n - 7569.
-(n + 9)*(n + 29)**2
Determine j so that j**4/2 + 7*j**3/2 + 9*j**2 + 10*j + 4 = 0.
-2, -1
Factor 20*v**3 - 425*v**2 + 105*v.
5*v*(v - 21)*(4*v - 1)
Solve m**2 + 4*m + 4 = 0 for m.
-2
Let 2*t**3/11 + 20*t**2/11 + 56*t/11 + 48/11 = 0. Calculate t.
-6, -2
Factor u**4/2 + 87*u**3 + 9369*u**2/2 + 78300*u + 405000.
(u + 12)**2*(u + 75)**2/2
Factor 2*b**4/11 + 8*b**3/11 - 32*b/11 - 32/11.
2*(b - 2)*(b + 2)**3/11
Factor 4*j**2 - 216*j + 2916.
4*(j - 27)**2
Factor 8*r**2 - 14*r.
2*r*(4*r - 7)
Determine c so that -160*c**4/3 + 16*c**3 + 166*c**2/3 - 20*c - 6 = 0.
-1, -1/5, 3/4
Factor 3*p**4 - 42*p**3 + 216*p**2 - 486*p + 405.
3*(p - 5)*(p - 3)**3
Factor x**3/9 - 55*x**2/3 - 232*x - 708.
(x - 177)*(x + 6)**2/9
Find y, given that -3*y**3/4 + 27*y**2/2 - 51*y/4 = 0.
0, 1, 17
Factor -5*c**4 - 40*c**3 + 285*c**2 - 500*c + 260.
-5*(c - 2)**2*(c - 1)*(c + 13)
Suppose -5*m**2 + 1645*m + 6660 = 0. What is m?
-4, 333
Factor a**4 - 2*a**3 - 48*a**2 + 98*a - 49.
(a - 7)*(a - 1)**2*(a + 7)
Find g, given that g**2/2 - 51*g/2 + 135 = 0.
6, 45
Solve 15*r**2 + 5343*r + 1068 = 0 for r.
-356, -1/5
Find p, given that 3*p**3 - 741*p**2/2 - 1329*p - 1143/2 = 0.
-3, -1/2, 127
Let 4*q**2 + 9896*q = 0. Calculate q.
-2474, 0
Let -5*m**3 + 2795*m**2 = 0. What is m?
0, 559
Determine p, given that -4*p**3 - 72*p**2 + 832*p = 0.
-26, 0, 8
Factor 5*t**2 + 620*t + 19220.
5*(t + 62)**2
Solve -6*j**4 - 26*j**3 - 38*j**2 - 22*j - 4 = 0 for j.
-2, -1, -1/3
Suppose i**2 + i - 56 = 0. What is i?
-8, 7
Factor -2*c**3/7 - 342*c**2/7 + 344*c/7.
-2*c*(c - 1)*(c + 172)/7
Factor -3*j**3 - 66*j**2 - 273*j - 306.
-3*(j + 2)*(j + 3)*(j + 17)
Factor -3*u**2/7 + 27*u/7 - 6.
-3*(u - 7)*(u - 2)/7
Factor -6*v**4 + 10*v**3 + 8*v**2 - 8*v.
-2*v*(v - 2)*(v + 1)*(3*v - 2)
Solve x**2/2 + 15*x - 31/2 = 0 for x.
-31, 1
What is s in -3*s**5/2 - 711*s**4/2 + 1080*s**3 = 0?
-240, 0, 3
Factor 2*p**3 + 20*p**2 - 2*p - 20.
2*(p - 1)*(p + 1)*(p + 10)
Factor -5*j**2/3 - 85*j/3.
-5*j*(j + 17)/3
Factor -p**5 + 5*p**4 + p**3 - 5*p**2.
-p**2*(p - 5)*(p - 1)*(p + 1)
What is c in 20*c**4/7 - 198*c**3/7 + 480*c**2/7 + 50*c/7 = 0?
-1/10, 0, 5
Factor -q**5/6 - q**4/3 + q**3/2 + 2*q**2/3 - 2*q/3.
-q*(q - 1)**2*(q + 2)**2/6
Find m, given that 3*m**2 - 222*m + 4107 = 0.
37
Suppose 2*n**2 - 72*n - 74 = 0. Calculate n.
-1, 37
Find t such that 1171875*t**4 - 1125000*t**3 + 405000*t**2 - 64800*t + 3888 = 0.
6/25
Determine k so that -3*k**2/2 - 4341*k = 0.
-2894, 0
Factor 5*j**4/2 + 25*j**3/2 + 15*j**2/2 - 45*j/2.
5*j*(j - 1)*(j + 3)**2/2
Determine c so that 5*c**3 + 100*c**2 + 95*c = 0.
-19, -1, 0
Factor -4*s**3 + 12*s**2 + 4*s - 12.
-4*(s - 3)*(s - 1)*(s + 1)
Factor g**3 - 153*g**2 + 152*g.
g*(g - 152)*(g - 1)
Factor 21*r**3/8 - 87*r**2/4 + 195*r/8 - 21/4.
3*(r - 7)*(r - 1)*(7*r - 2)/8
Factor -2*y**3/9 - 8*y**2/9.
-2*y**2*(y + 4)/9
Determine b, given that 198*b**5 + 344*b**4 - 120*b**3 - 32*b**2 = 0.
-2, -2/11, 0, 4/9
Factor -u**4/7 + 13*u**2/7 + 12*u/7.
-u*(u - 4)*(u + 1)*(u + 3)/7
Factor -n**4/2 - 24*n**3 - 432*n**2 - 3456*n - 10368.
-(n + 12)**4/2
Factor -3*y**3/2 - 15*y**2/2 - 21*y/2 - 9/2.
-3*(y + 1)**2*(y + 3)/2
Solve -s**5/10 + 3*s**4/5 + 17*s**3/5 + 28*s**2/5 + 39*s/10 + 1 = 0 for s.
-1, 10
Factor 3*j**5/5 + 1236*j**4 + 1018464*j**3 + 419607168*j**2 + 86439076608*j + 35612899562496/5.
3*(j + 412)**5/5
Find o, given that 13*o**2/5 - 69*o/10 + 9/2 = 0.
15/13, 3/2
Solve i**4 + 2*i**3 - 12*i**2 - 40*i - 32 = 0.
-2, 4
Find y, given that -4*y**4 + 41*y**3 - 46*y**2 + 9*y = 0.
0, 1/4, 1, 9
Solve 2*y**3 - 528*y**2 + 1050*y - 524 = 0.
1, 262
Determine j so that -2*j**4/5 - 122*j**3/5 + 132*j**2/5 + 488*j/5 - 496/5 = 0.
-62, -2, 1, 2
Factor -10*b**4/3 + 31*b**3/3 - 11*b**2 + 13*b/3 - 1/3.
-(b - 1)**3*(10*b - 1)/3
What is s in 2*s**2/5 + 66*s/5 + 108 = 0?
-18, -15
Suppose -32*g**4/9 + 208*g**3/9 - 386*g**2/9 + 52*g/3 - 2 = 0. Calculate g.
1/4, 3
Factor r**3 - 629*r**2 - 630*r.
r*(r - 630)*(r + 1)
Factor 2*y**5/9 + 11*y**4/9 + 16*y**3/9 + 7*y**2/9.
y**2*(y + 1)**2*(2*y + 7)/9
Determine g so that -2*g**4/3 - 244*g**3/9 - 386*g**2/9 + 52*g/3 = 0.
-39, -2, 0, 1/3
Suppose -5*s**4 + 380*s**3 - 7220*s**2 = 0. Calculate s.
0, 38
Factor i**4/2 + i**3 + i**2/2.
i**2*(i + 1)**2/2
Factor 2*x**2/3 - 10*x/3 + 4.
2*(x - 3)*(x - 2)/3
Factor 4*s**3 + 1940*s**2 + 236192*s + 234256.
4*(s + 1)*(s + 242)**2
Solve -10*c**2 + 375*c - 365 = 0.
1, 73/2
Solve -3*w**4/7 - 150*w**3/7 + 813*w**2/7 - 660*w/7 = 0.
-55, 0, 1, 4
Solve x**3/7 + 17*x**2/7 - 37*x/7 + 19/7 = 0.
-19, 1
Factor -n**3 + 1383*n**2 - 637563*n + 97972181.
-(n - 461)**3
Suppose 15*w**5 - 3*w**4 - 15*w**3 + 3*w**2 = 0. What is w?
-1, 0, 1/5, 1
Factor q**4/5 - 14*q**3/5 - 16*q**2/5 + 14*q/5 + 3.
(q - 15)*(q - 1)*(q + 1)**2/5
Factor -2*t**3 + 90*t**2 - 958*t + 870.
-2*(t - 29)*(t - 15)*(t - 1)
Let s**4 - 15*s**3 + 57*s**2 - 73*s + 30 = 0. Calculate s.
1, 3, 10
Solve 4*g**5/3 - 20*g**4/3 - g**3 + 14*g**2/3 + 5*g/3 = 0 for g.
-1/2, 0, 1, 5
Find q such that 20*q**5 - 12*q**4 - 128*q**3 - 48*q**2 = 0.
-2, -2/5, 0, 3
Factor 3*j**2/4 + 129*j/4.
3*j*(j + 43)/4
Factor s**2 + 76*s.
s*(s + 76)
Solve -l**3 - 1088*l**2 - 295936*l = 0.
-544, 0
Factor 2*h**4 + 20*h**3 + 72*h**2 + 108*h + 54.
2*(h + 1)*(h + 3)**3
Factor 4*q**2/9 + 98*q/9 - 52/3.
2*(q + 26)*(2*q - 3)/9
Suppose 5*r**4 + 65*r**3 - 145*r**2 + 75*r = 0. What is r?
-15, 0, 1
Find y, given that -4*y**2/5 - 96*y/5 + 20 = 0.
-25, 1
Solve -3*q**4 - 30*q**3 - 84*q**2 - 18*q + 135 = 0.
-5, -3, 1
What is t in -2*t**5/13 + 12*t**4/13 - 22*t**3/13 + 4*t**2/13 + 24*t/13 - 16/13 = 0?
-1, 1, 2
Factor 5*d**3 + 3600*d**2 + 3595*d.
5*d*(d + 1)*(d + 719)
Factor a**4/5 + 404*a**3/5 - 811*a**2/5 + 406*a/5.
a*(a - 1)**2*(a + 406)/5
Let 3*y**2 + 1944*y - 3900 = 0. What is y?
-650, 2
Solve -3*f**5/8 + 45*f**4/2 + 195*f**3 + 600*f**2 + 810*f + 408 = 0 for f.
-2, 68
Factor -w**3/2 - 19*w**2/2 - 37*w - 28.
-(w + 1)*(w + 4)*(w + 14)/2
Factor -17*t**5/5 - 36*t**4/5 - 21*t**3/5 - 2*t**2/5.
-t**2*(t + 1)**2*(17*t + 2)/5
Solve -v**4 - 6*v**3 + 19*v**2 + 24*v = 0.
-8, -1, 0, 3
Factor 3*f**2/8 - 27*f/4 - 54.
3*(f - 24)*(f + 6)/8
Factor -3*k