**2/3 + 4*o = 0 for o.
-3, -1, 0, 2
Factor 5*p**5 - 5*p**4 - 315*p**3 - 1215*p**2 - 1350*p.
5*p*(p - 10)*(p + 3)**3
Factor 25*r**3/3 + 1805*r**2/3 + 39184*r/3 + 74892.
(r + 9)*(5*r + 158)**2/3
Let -36*d**3 + 3324*d**2 + 2228*d + 372 = 0. Calculate d.
-1/3, 93
Factor -5*t**3 - 60*t**2 - 105*t - 50.
-5*(t + 1)**2*(t + 10)
Factor 2*d**4/7 - 6*d**3/7 - 8*d**2/7 + 24*d/7.
2*d*(d - 3)*(d - 2)*(d + 2)/7
Factor -y**5/3 - 9*y**4 - 25*y**3 - 73*y**2/3 - 8*y.
-y*(y + 1)**3*(y + 24)/3
Determine g so that 2*g**5 + 4*g**4 - 12*g**3 - 8*g**2 + 26*g - 12 = 0.
-3, -2, 1
Find v, given that -4*v**3/7 - 4*v**2/7 + 20*v/7 - 12/7 = 0.
-3, 1
Factor -2*m**4/7 + 16*m**3/7 - 44*m**2/7 + 48*m/7 - 18/7.
-2*(m - 3)**2*(m - 1)**2/7
Let n**3/4 + 10*n**2 + 17*n - 76 = 0. Calculate n.
-38, -4, 2
Find g, given that 3*g**2/7 - 6*g/7 = 0.
0, 2
What is g in -g**2/4 - 241*g/4 - 239/2 = 0?
-239, -2
Factor 221225364*f**3 + 1741932*f**2 + 4572*f + 4.
4*(381*f + 1)**3
Factor 12*n**3 + 33*n**2 - 9*n.
3*n*(n + 3)*(4*n - 1)
Factor -2*n**2/13 - 184*n/13 - 14.
-2*(n + 1)*(n + 91)/13
Determine a so that -a**2 - 216*a - 11664 = 0.
-108
Solve -z**4/9 - 8*z**3/9 + z**2/3 + 62*z/9 - 56/9 = 0.
-7, -4, 1, 2
Suppose -2*p**4 + 200*p**3 - 7068*p**2 + 99944*p - 417074 = 0. Calculate p.
7, 31
Suppose 10*k**3 - 1145*k**2 + 6020*k - 2725 = 0. What is k?
1/2, 5, 109
Factor q**4/7 - 3*q**3/7 - 12*q**2/7 + 52*q/7 - 48/7.
(q - 3)*(q - 2)**2*(q + 4)/7
Suppose 2*p**4/5 + 4*p**3 + 42*p**2/5 - 8*p/5 - 56/5 = 0. Calculate p.
-7, -2, 1
Factor -4*c**3 + 3772*c**2 - 3768*c.
-4*c*(c - 942)*(c - 1)
Factor 7*k**2 + 506*k + 144.
(k + 72)*(7*k + 2)
Factor 25*u**3/2 - 4535*u**2/2 - 16569*u/2 - 14985/2.
(u - 185)*(5*u + 9)**2/2
Solve -24*v**2 - 481*v/5 - 4/5 = 0.
-4, -1/120
Find h such that -2*h**3 + 272*h**2 + 2*h - 272 = 0.
-1, 1, 136
Factor -3*g**2 + 126*g.
-3*g*(g - 42)
Factor 180*h**4 + 1200*h**3 + 1385*h**2 - 565*h + 50.
5*(h + 2)*(h + 5)*(6*h - 1)**2
Suppose x**4/5 - 54*x**3 + 17953*x**2/5 + 7344*x + 18496/5 = 0. What is x?
-1, 136
Find i, given that -2*i**2/9 - 500*i/9 - 31250/9 = 0.
-125
Factor s**3/8 + 195*s**2/4 - 783*s/8 + 49.
(s - 1)**2*(s + 392)/8
Factor 9*s**2/4 + 21*s/2 - 51/4.
3*(s - 1)*(3*s + 17)/4
Find c, given that 5*c**5 + 5*c**4 - 10*c**3 = 0.
-2, 0, 1
Suppose -p**2 + 480*p - 57600 = 0. Calculate p.
240
Suppose 2*j**3/5 + 32*j**2/5 + 6*j = 0. What is j?
-15, -1, 0
What is b in 2*b**4 - 38*b**3 + 114*b**2 + 126*b - 540 = 0?
-2, 3, 15
Solve -4*i**4 - 140*i**3 - 732*i**2 - 1044*i = 0 for i.
-29, -3, 0
Factor -4*x**3 + 1192*x**2 - 4720*x + 4704.
-4*(x - 294)*(x - 2)**2
Let -2*j**2/7 + 4604*j/7 = 0. What is j?
0, 2302
Factor -v**4 - 14*v**3 - 48*v**2 - 18*v + 81.
-(v - 1)*(v + 3)**2*(v + 9)
Suppose -i**5/8 + 3*i**4/8 + 9*i**3/4 + i**2/2 - 3*i = 0. What is i?
-2, 0, 1, 6
Determine r, given that r**3/4 - 503*r**2/4 + 15750*r + 15876 = 0.
-1, 252
Factor -r**2/2 - 325*r/2 - 162.
-(r + 1)*(r + 324)/2
Suppose d**2 - 2624*d + 1721344 = 0. What is d?
1312
Solve -a**3 - 100*a**2 - 3157*a - 30258 = 0 for a.
-41, -18
Let -3*v**3 + 1071*v**2 - 127449*v + 5055477 = 0. What is v?
119
Factor p**3 - 71*p**2 + 70*p.
p*(p - 70)*(p - 1)
Factor u**2 + 4*u - 21.
(u - 3)*(u + 7)
Factor -2*f**3 + 258*f**2 - 256*f.
-2*f*(f - 128)*(f - 1)
Let -2*x**2/3 + 28*x/3 - 98/3 = 0. What is x?
7
What is m in 2*m**2/19 + 50*m/19 - 232/19 = 0?
-29, 4
Determine x, given that 2*x**5 - 8*x**4 + 20*x**2 - 2*x - 12 = 0.
-1, 1, 2, 3
Determine c so that 2*c**2 + 324*c - 326 = 0.
-163, 1
Factor -4*x**2 - 188*x + 392.
-4*(x - 2)*(x + 49)
Factor -5*i**2 - 5900*i.
-5*i*(i + 1180)
Solve 100*w**5 + 80*w**4 - 884*w**3 - 720*w**2 - 144*w = 0.
-3, -2/5, 0, 3
Factor -13*z**4 + 41*z**3 - 6*z**2.
-z**2*(z - 3)*(13*z - 2)
Factor 121*j**4/4 - 55*j**3 + 39*j**2/2 + 5*j + 1/4.
(j - 1)**2*(11*j + 1)**2/4
Determine h, given that 2*h**2 + 23*h + 21 = 0.
-21/2, -1
Solve 5*x**5/4 + 5*x**4/4 - 15*x**3/2 - 5*x**2 + 10*x = 0.
-2, 0, 1, 2
Find t, given that 14*t**4 + 570*t**3 - 1410*t**2 - 1450*t + 516 = 0.
-43, -1, 2/7, 3
What is p in -15*p**2 - 129*p - 72 = 0?
-8, -3/5
Solve -5*z**3 + 5830*z**2 - 11645*z + 5820 = 0.
1, 1164
Factor -3*d**4 + 3*d**3 + 30*d**2 + 24*d.
-3*d*(d - 4)*(d + 1)*(d + 2)
Find p such that 5*p**2/6 - 1400*p/3 + 196000/3 = 0.
280
Determine m, given that -m**3/9 - 14*m**2/9 + 815*m/9 + 92 = 0.
-36, -1, 23
Factor -c**2/3 + 7060*c/3 - 12460900/3.
-(c - 3530)**2/3
Factor -r**2/4 - 643*r/4 + 161.
-(r - 1)*(r + 644)/4
Suppose -n**5/3 + n**4/3 + 4*n**3/3 - 4*n**2/3 = 0. What is n?
-2, 0, 1, 2
Factor -2*j**3/5 + 13704*j**2/5 - 31299936*j/5 + 23829684608/5.
-2*(j - 2284)**3/5
Suppose -2*q**5/5 - 434*q**4/5 + 2*q**3/5 + 434*q**2/5 = 0. What is q?
-217, -1, 0, 1
Factor 4*h**3 + 2472*h**2 + 509232*h + 34967264.
4*(h + 206)**3
Determine q, given that -2*q**5 - 17*q**4 - 45*q**3 - 27*q**2 + 27*q = 0.
-3, 0, 1/2
Solve -26*f**5/7 + 313*f**4/7 - 558*f**3/7 + 281*f**2/7 - 10*f/7 = 0.
0, 1/26, 1, 10
Factor -3*y**4 + 23*y**3 + 35*y**2 + 9*y.
-y*(y - 9)*(y + 1)*(3*y + 1)
Factor -q**4/11 + 5*q**3/11 + 8*q**2/11 - 12*q/11.
-q*(q - 6)*(q - 1)*(q + 2)/11
Factor -2*t**2/5 - 18*t/5 - 8.
-2*(t + 4)*(t + 5)/5
Suppose -29*f**2 + 5*f/2 = 0. What is f?
0, 5/58
Factor -t**5 - 74*t**4 + 152*t**3 - 2*t**2 - 151*t + 76.
-(t - 1)**3*(t + 1)*(t + 76)
Factor -5*l**2/6 - 635*l/2 - 950/3.
-5*(l + 1)*(l + 380)/6
What is a in -2*a**2 - 12*a - 16 = 0?
-4, -2
Suppose 3*o**2 - 90*o - 297 = 0. Calculate o.
-3, 33
Factor -3025*d**3/4 + 55*d**2 - d.
-d*(55*d - 2)**2/4
Let -5*j**5/4 + 2*j**4 - 3*j**3/4 = 0. What is j?
0, 3/5, 1
Find y such that -3*y**2/2 + 87*y + 372 = 0.
-4, 62
Factor 6*s**5 + 21*s**4/2 + 9*s**3/2.
3*s**3*(s + 1)*(4*s + 3)/2
Factor -3*q**3 - 21*q**2 + 24*q.
-3*q*(q - 1)*(q + 8)
Factor 2*r**3/3 - 500*r**2/3 + 31250*r/3.
2*r*(r - 125)**2/3
Find w such that w**2/5 - w/5 - 12/5 = 0.
-3, 4
Solve q**5/5 + q**4/5 - 6*q**3/5 + 2*q**2/5 + q - 3/5 = 0.
-3, -1, 1
Factor -2*q**4/7 + 18*q**3/7 - 36*q**2/7.
-2*q**2*(q - 6)*(q - 3)/7
Factor -l**2/5 + 2674*l/5 - 1787569/5.
-(l - 1337)**2/5
Factor -2*y**4 + 28*y**3 - 88*y**2 + 80*y.
-2*y*(y - 10)*(y - 2)**2
Let 2*o**4 - 78*o**3 + 150*o**2 - 74*o = 0. What is o?
0, 1, 37
What is k in -15*k**4 + 21*k**3 + 42*k**2 - 48*k = 0?
-8/5, 0, 1, 2
Factor 4*g**3 + 398*g**2 - 1016*g + 408.
2*(g - 2)*(g + 102)*(2*g - 1)
Find z, given that -3*z**5 - 93*z**4 - 918*z**3 - 3090*z**2 - 3783*z - 1521 = 0.
-13, -3, -1
What is r in 5*r**5/6 - 5*r**4/6 - 5*r**3 = 0?
-2, 0, 3
Suppose -2*i**5 + 20*i**4 + 10*i**3 - 100*i**2 - 8*i + 80 = 0. Calculate i.
-2, -1, 1, 2, 10
Suppose 1323*v**5/5 - 4473*v**4/5 - 10347*v**3/5 - 2223*v**2/5 + 2088*v/5 - 48 = 0. What is v?
-1, 4/21, 5
Factor u**3 - 67*u**2 + 131*u - 65.
(u - 65)*(u - 1)**2
Determine a so that -a**3/8 + a**2 + 19*a/8 + 5/4 = 0.
-1, 10
Factor 3*u**4 + 18*u**3 + 12*u**2 - 18*u - 15.
3*(u - 1)*(u + 1)**2*(u + 5)
Find p such that -2*p**4 - 12*p**3 + 390*p**2 - 736*p + 360 = 0.
-18, 1, 10
Factor t**5/8 + 9*t**4/8 + 3*t**3 + 2*t**2.
t**2*(t + 1)*(t + 4)**2/8
Factor -4*j**4 + 96*j**3 - 800*j**2 + 2688*j - 2880.
-4*(j - 10)*(j - 6)**2*(j - 2)
Determine a, given that a**4/5 - 63*a**3/5 - 334*a**2/5 - 408*a/5 = 0.
-3, -2, 0, 68
Let -4*o**3 - 72*o**2 - 260*o + 336 = 0. What is o?
-12, -7, 1
Factor -s**4/4 - 17*s**3/4 - 85*s**2/4 - 159*s/4 - 45/2.
-(s + 1)*(s + 3)**2*(s + 10)/4
Let -5*j**2 - 2040*j - 208080 = 0. Calculate j.
-204
Factor -y**3/2 - 25*y**2/2 + 2*y + 50.
-(y - 2)*(y + 2)*(y + 25)/2
Factor -145*i**5 - 5055*i**4 + 700*i**3.
-5*i**3*(i + 35)*(29*i - 4)
Factor -q**3/9 - 25*q**2/9 + 26*q/9.
-q*(q - 1)*(q + 26)/9
Factor s**2/7 - 17*s/7 - 270/7.
(s - 27)*(s + 10)/7
Find m, given that m**4/3 + 41*m**3/3 + 40*m**2/3 = 0.
-40, -1, 0
Factor -2*y**4 + 28*y**3 - 64*y**2 - 220*y - 126.
-2*(y - 9)*(y - 7)*(y + 1)**2
Solve r**3/3 - 25*r**2/3 + 152*r/3 - 272/3 = 0.
4, 17
Determine c so that c**5/6 + 7*c**4/6 + 13*c**3/6 + c**2/6 - 7*c/3 - 4/3 = 0.
-4, -2, -1, 1
Find m such that 4*m**3 + 96*m**2 - 208*m = 0.
-26, 0, 2
Let 3*t**4/2 + 24*t**3 + 63*t**2 - 324*t - 729/2 = 0. Calculate t.
-9, -1, 3
Solve 5*t**2 + 70*t + 165 = 0 for t.
-11, -3
Factor 10*t**4 - 36*t**3 - 16*t**2.
2*t**2*(t - 4)*(5*t + 2)
Let 8*g**4/13 + 110*g**3/13 + 282*g**2/13 + 266*g/13 + 86/13 = 0. Calculate g.
-43/4, -1
Find x, given that 21*x**5/4 + 681*x**4 + 2960