**2/2 - 28199*k/2 + 149645/2.
-(k - 5)*(k + 173)**2/2
Let r**3/4 + 168*r**2 - 675*r + 676 = 0. What is r?
-676, 2
Find f such that 2*f**2/11 + 74*f + 812/11 = 0.
-406, -1
Solve -2*g**5/3 + 22*g**4/15 - 14*g**3/15 + 2*g**2/15 = 0 for g.
0, 1/5, 1
Determine m, given that 4*m**5/7 - 29*m**4/7 + 39*m**3/7 + 8*m**2 - 16*m/7 = 0.
-1, 0, 1/4, 4
Factor -2*k**3/3 - 32*k**2/3 - 6*k + 60.
-2*(k - 2)*(k + 3)*(k + 15)/3
Solve q**3/3 - 14*q**2/3 + 25*q/3 - 4 = 0.
1, 12
Let -2*r**5/11 - 12*r**4/11 - 16*r**3/11 + 12*r**2/11 + 18*r/11 = 0. What is r?
-3, -1, 0, 1
Suppose 3*p**4/2 + 54*p**3 + 399*p**2/2 + 243*p + 96 = 0. What is p?
-32, -2, -1
Factor 2*k**5/9 - 14*k**4/9 - 4*k**3 - 4*k**2/9 + 34*k/9 + 2.
2*(k - 9)*(k - 1)*(k + 1)**3/9
Factor -y**2/7 - y + 30/7.
-(y - 3)*(y + 10)/7
Find w such that -2*w**5 + 32*w**4 - 192*w**3 + 532*w**2 - 670*w + 300 = 0.
1, 2, 3, 5
Solve p**5/3 - 136*p**4/3 + 4340*p**3/3 + 19600*p**2/3 = 0 for p.
-4, 0, 70
Factor -3*k**3 + 522*k**2 - 22707*k.
-3*k*(k - 87)**2
Factor -4*u**2/3 + 2240*u/3.
-4*u*(u - 560)/3
Determine c so that 16*c**5/3 - 40*c**4 + 137*c**3/3 + 409*c**2/3 - 51*c - 289/3 = 0.
-1, 1, 17/4
Factor -y**2 - 350*y + 351.
-(y - 1)*(y + 351)
Factor -2*q**3 - 38*q**2 - 70*q - 34.
-2*(q + 1)**2*(q + 17)
Suppose 4*t**3 - 12*t**2 - 16*t + 48 = 0. Calculate t.
-2, 2, 3
Find y such that 3*y**5/5 + 12*y**4/5 - 81*y**3/5 + 114*y**2/5 - 48*y/5 = 0.
-8, 0, 1, 2
Find m such that -4*m**3 + 42*m**2 + 24*m - 22 = 0.
-1, 1/2, 11
Factor 2*g**3 + 776*g**2 + 78280*g + 577600.
2*(g + 8)*(g + 190)**2
Find u such that 18*u**2/7 - 10*u/7 - 4 = 0.
-1, 14/9
Factor 12*t**4 + 70*t**3 + 136*t**2 + 88*t.
2*t*(t + 2)**2*(6*t + 11)
Factor 14*s**5 - 46*s**4/3 + 4*s**3/3.
2*s**3*(s - 1)*(21*s - 2)/3
Let 3*d**2 + 96*d + 768 = 0. Calculate d.
-16
What is w in w**2/8 - 16*w + 512 = 0?
64
Find g such that 3*g**3 + 54*g**2 - 3*g - 54 = 0.
-18, -1, 1
Factor j**4/11 - 13*j**3/11 + 32*j**2/11 - 20*j/11.
j*(j - 10)*(j - 2)*(j - 1)/11
Let r**5/6 - r**4 + 7*r**3/6 + 3*r**2 - 22*r/3 + 4 = 0. Calculate r.
-2, 1, 2, 3
Let -18*m**4 + 598*m**3 - 5316*m**2 + 5760*m - 1024 = 0. Calculate m.
2/9, 1, 16
Suppose 2*l**3/17 + 8*l**2/17 + 6*l/17 = 0. What is l?
-3, -1, 0
Find t, given that -t**5/9 + 42*t**4 + 253*t**3/3 + 380*t**2/9 = 0.
-1, 0, 380
Find t such that -3*t**3 + 120*t**2 + 249*t + 126 = 0.
-1, 42
Let 2*r**5/19 - 40*r**4/19 + 156*r**3/19 + 440*r**2/19 + 242*r/19 = 0. Calculate r.
-1, 0, 11
Factor t**4/4 - t**3/2 - 3*t**2/4.
t**2*(t - 3)*(t + 1)/4
Factor -k**4/3 + 462*k**3 - 160083*k**2.
-k**2*(k - 693)**2/3
Suppose 320*l**4 + 4080*l**3 + 11765*l**2 - 3135*l + 200 = 0. Calculate l.
-8, -5, 1/8
Factor 3*k**4 - 558*k**3 + 32583*k**2 - 617148*k + 3669708.
3*(k - 79)**2*(k - 14)**2
Solve -3*x**5 + 3*x**4 + 30*x**3 + 24*x**2 = 0.
-2, -1, 0, 4
Factor -125*x**4/3 + 24325*x**3/3 - 523230*x**2 + 33051836*x/3 + 34645976/3.
-(x + 1)*(5*x - 326)**3/3
Determine h so that -78*h**4/11 + 74*h**3/11 + 82*h**2/11 - 74*h/11 - 4/11 = 0.
-1, -2/39, 1
Find w, given that 10*w**4/21 - 34*w**3/21 + 32*w**2/21 - 8*w/21 = 0.
0, 2/5, 1, 2
Factor -3*b**3 + 168*b**2 - 2511*b + 4374.
-3*(b - 27)**2*(b - 2)
Solve 3*k**5/2 + 7*k**4/2 - 2*k**2 = 0 for k.
-2, -1, 0, 2/3
Suppose -12*h**3 - 4821*h**2 - 483606*h + 121203 = 0. What is h?
-201, 1/4
Solve 4*f**2 - 6012*f = 0 for f.
0, 1503
Determine b so that b**5/3 - 6*b**4 + 17*b**3/3 = 0.
0, 1, 17
Suppose 3*x**5/7 + 192*x**4/7 + 738*x**3/7 + 156*x**2 + 723*x/7 + 180/7 = 0. What is x?
-60, -1
Factor 5*h**3 - 125*h**2 - 265*h - 135.
5*(h - 27)*(h + 1)**2
Let 50*q**2 + 84*q = 0. Calculate q.
-42/25, 0
Factor -3*v**2/7 + 3984*v/7.
-3*v*(v - 1328)/7
Factor -s**5 + 9*s**4.
-s**4*(s - 9)
What is j in -34*j**5/9 + 128*j**4/9 + 22*j**3/3 - 128*j**2/9 - 32*j/9 = 0?
-1, -4/17, 0, 1, 4
What is a in -2*a**2 - 94*a = 0?
-47, 0
Factor 2*i**3/13 - 84*i**2/13 - 462*i/13 - 376/13.
2*(i - 47)*(i + 1)*(i + 4)/13
Factor -15*s**3 + 10555*s**2 - 17560*s + 7020.
-5*(s - 702)*(s - 1)*(3*s - 2)
What is b in -16484816*b**4/15 - 17219288*b**3/15 - 49692*b**2 - 3654*b/5 - 18/5 = 0?
-1, -3/202
Factor -3*p**4 + 9*p**3 + 30*p**2.
-3*p**2*(p - 5)*(p + 2)
Find r such that -2*r**4/7 + 10*r**3/7 - 12*r**2/7 = 0.
0, 2, 3
Factor -30*q**2/11 + 362*q/11 - 24/11.
-2*(q - 12)*(15*q - 1)/11
Factor -3*k**3/2 - 1071*k**2/2 - 127449*k/2 - 5055477/2.
-3*(k + 119)**3/2
Find m such that 2*m**3 - 210*m**2 + 7350*m - 85750 = 0.
35
Factor w**3 - 9*w**2 + 6*w + 16.
(w - 8)*(w - 2)*(w + 1)
Factor 64*b**2/7 - 160*b/7 + 100/7.
4*(4*b - 5)**2/7
What is o in 4*o**5/7 + 264*o**4/7 - 540*o**3/7 + 272*o**2/7 = 0?
-68, 0, 1
Find c, given that -2*c**4 + 358*c**3 - 16536*c**2 + 45056*c + 61952 = 0.
-1, 4, 88
Solve -28*f**5 - 428*f**4 + 2876*f**3 + 45628*f**2 - 34528*f - 13520 = 0 for f.
-13, -2/7, 1, 10
Factor -2*g**3/11 - 12*g**2/11 + 2*g/11 + 12/11.
-2*(g - 1)*(g + 1)*(g + 6)/11
Let m**2/4 + 59*m/4 = 0. What is m?
-59, 0
Let 16*u**3/3 - 37*u**2 - 45*u - 8/3 = 0. What is u?
-1, -1/16, 8
Find z, given that -14*z**5/3 - 88*z**4/3 + 204*z**3 + 2416*z**2/3 - 8806*z/3 + 1960 = 0.
-7, 1, 12/7, 5
What is p in -5*p**3 - 1155*p**2 + 3500*p - 2340 = 0?
-234, 1, 2
Solve x**2 + 8*x + 7 = 0.
-7, -1
Factor 970*b**3/11 - 1938*b**2/11 + 966*b/11 + 2/11.
2*(b - 1)**2*(485*b + 1)/11
Factor 3*r**3/4 - 2289*r**2/4 + 3423*r/2 - 1140.
3*(r - 760)*(r - 2)*(r - 1)/4
Factor 2*u**5 + 8*u**4 + 10*u**3 + 4*u**2.
2*u**2*(u + 1)**2*(u + 2)
Factor 2*u**3/3 - 10*u**2/3 + 4*u/3 + 16/3.
2*(u - 4)*(u - 2)*(u + 1)/3
Factor 3*t**2/4 - 48*t + 2997/4.
3*(t - 37)*(t - 27)/4
Find k, given that -k**4/8 - 7*k**3/8 - 3*k**2/2 = 0.
-4, -3, 0
Suppose 45*m**4 + 6960*m**3 - 2350*m**2 - 3880*m - 775 = 0. What is m?
-155, -1/3, 1
Factor -3*u**3/5 + 27*u**2/5 - 69*u/5 + 9.
-3*(u - 5)*(u - 3)*(u - 1)/5
Factor 147*b**3/2 + 1428*b**2 - 834*b + 120.
3*(b + 20)*(7*b - 2)**2/2
Determine m so that -3*m**2 - 132*m - 1305 = 0.
-29, -15
Suppose 6*c**2 - 63*c + 81 = 0. What is c?
3/2, 9
Factor -2*u**4 - 94*u**3 - 1476*u**2 - 8424*u - 11664.
-2*(u + 2)*(u + 9)*(u + 18)**2
What is x in 2*x**5/9 + 4*x**4/3 + 2*x**3 + 8*x**2/9 = 0?
-4, -1, 0
Suppose 2*t**2/7 + 338*t/7 + 3768/7 = 0. What is t?
-157, -12
Factor -s**3/4 - 3*s**2 - 29*s/4 + 21/2.
-(s - 1)*(s + 6)*(s + 7)/4
Factor -4*n**2 - 1780*n + 1784.
-4*(n - 1)*(n + 446)
Factor -2*x**3/23 - 28*x**2/23 - 66*x/23.
-2*x*(x + 3)*(x + 11)/23
Solve 2*u**2/3 - 370*u/3 = 0 for u.
0, 185
Factor m**2/5 + 469*m/5.
m*(m + 469)/5
Let -3*z**4 - 9*z**3 - 3*z**2 + 9*z + 6 = 0. Calculate z.
-2, -1, 1
Let n**5 - 12*n**4 = 0. What is n?
0, 12
Factor -g**4/6 - 11*g**3/6 - 9*g**2/2 - 25*g/6 - 4/3.
-(g + 1)**3*(g + 8)/6
Factor 2*r**5 + 4*r**4 - 2*r**3 - 4*r**2.
2*r**2*(r - 1)*(r + 1)*(r + 2)
Suppose -6*j**4 - 705*j**3 - 21231*j**2 - 30624*j - 10092 = 0. What is j?
-58, -1, -1/2
Factor 2*w**2/3 + 118*w + 352/3.
2*(w + 1)*(w + 176)/3
Suppose -6*l**3/13 - 344*l**2/13 + 966*l/13 + 360/13 = 0. Calculate l.
-60, -1/3, 3
Solve -2*l**3/7 - 548*l**2/7 + 8*l/7 + 2192/7 = 0.
-274, -2, 2
Factor -9*z**3 - 15*z**2 + 9*z + 15.
-3*(z - 1)*(z + 1)*(3*z + 5)
Factor 2*l**2/5 + 368*l/5 + 16928/5.
2*(l + 92)**2/5
Let -25*n**2/7 + 74*n/7 + 104/7 = 0. Calculate n.
-26/25, 4
Let 5*c**4/4 + 65*c**3/4 + 105*c**2/2 - 45*c - 270 = 0. Calculate c.
-6, -3, 2
Determine p, given that -8*p**3/7 + 74*p**2/7 - 20*p - 150/7 = 0.
-3/4, 5
Solve d**4/6 + d**3/6 - 13*d**2/6 - d/6 + 2 = 0.
-4, -1, 1, 3
Factor -3*i**4/2 + 4905*i**3/2 - 2007369*i**2/2 + 2002467*i/2.
-3*i*(i - 817)**2*(i - 1)/2
Factor -3*b**2/5 + 93*b/5 + 96/5.
-3*(b - 32)*(b + 1)/5
Factor 3*x**4 + 159*x**3 + 603*x**2 + 741*x + 294.
3*(x + 1)**2*(x + 2)*(x + 49)
Determine z so that 2*z**2 + 10*z + 8 = 0.
-4, -1
Find m, given that -2*m**3/5 + 1776*m**2/5 + 1778*m/5 = 0.
-1, 0, 889
Find m, given that -42*m**4 + 1089*m**3/2 + 1944*m**2 + 1518*m + 288 = 0.
-2, -3/4, -2/7, 16
Factor 5*j**4 - 40*j**3 + 55*j**2 + 100*j.
5*j*(j - 5)*(j - 4)*(j + 1)
What is g in g**5/6 - 115*g**4/6 + 3475*g**3/6 - 9745*g**2/6 + 4760*g/3 - 1568/3 = 0?
1, 56
Factor 4*q**3/7 - 109*q**2/7 + 131*q/7 - 26/7.
(q - 26)*(q - 1)*(4*q - 1)/7
Factor 432*k**2 + 24*k + 1/3.
(36*k + 1)**2/3
Determine b so that -4*b**5 + 1316*b**4 + 2648*b**3 = 0.
-2, 0, 331
Factor -5*m**3 - 2160*m**2 + 5*m + 2160.
-5*(m - 1)*(m + 1)*(m + 432)
Solve -22*y**5 + 1228*y**4 - 23536*y*