
Find r, given that -2*r**5/17 - 20*r**4/17 + 54*r**3/17 + 64*r**2/17 - 104*r/17 - 96/17 = 0.
-12, -1, 2
What is j in 45*j**2/2 + 85*j/2 - 5 = 0?
-2, 1/9
Determine q, given that -2*q**2 - 142*q = 0.
-71, 0
Factor m**3 + 413*m**2 + 41591*m - 218405.
(m - 5)*(m + 209)**2
Factor i**4 - 42*i**3 + 272*i**2.
i**2*(i - 34)*(i - 8)
Solve -8*m**5 - 132*m**4 - 220*m**3 + 3184*m**2 + 1680*m - 1600 = 0.
-10, -1, 1/2, 4
Solve 3*r**5/7 - 9*r**4/7 - 129*r**3/7 - 279*r**2/7 - 162*r/7 = 0 for r.
-3, -2, -1, 0, 9
Factor 2*p**2/15 + 84*p/5 - 254/15.
2*(p - 1)*(p + 127)/15
Let -27*x**5 - 54*x**4 + 30*x**3 + 60*x**2 - 3*x - 6 = 0. What is x?
-2, -1, -1/3, 1/3, 1
Factor 55*z**2/3 - 35*z/3 - 20/3.
5*(z - 1)*(11*z + 4)/3
Factor t**2/5 + 26*t/5 + 169/5.
(t + 13)**2/5
What is n in 2*n**2/19 - 122*n/19 = 0?
0, 61
Determine m, given that -10*m**4/13 - 54*m**3/13 - 60*m**2/13 - 16*m/13 = 0.
-4, -1, -2/5, 0
Determine p, given that -4*p**5 + 120*p**4 - 1196*p**3 + 4536*p**2 - 6912*p + 3456 = 0.
1, 2, 3, 12
What is v in 12*v**4/7 - 507*v**3/7 + 5886*v**2/7 - 21408*v/7 + 4992/7 = 0?
1/4, 8, 26
Solve -3*a**2 - 12*a + 495 = 0.
-15, 11
Determine o so that 3*o**5 + 21*o**4 + 12*o**3 - 36*o**2 = 0.
-6, -2, 0, 1
Determine r, given that -4*r**2 - 4*r + 168 = 0.
-7, 6
Find h such that 15*h**2/4 - h/2 - 2 = 0.
-2/3, 4/5
Suppose u**5 - 27*u**4 + 138*u**3 + 586*u**2 + 645*u + 225 = 0. Calculate u.
-1, 15
Determine f, given that 3*f**2/7 + 66*f/7 - 69/7 = 0.
-23, 1
Suppose -2*f**4 + 544*f**3 - 37532*f**2 + 73440*f - 36450 = 0. Calculate f.
1, 135
Factor -t**2/3 - 1265*t/6 + 317.
-(t + 634)*(2*t - 3)/6
Factor o**3/7 + 6*o**2/7 + 8*o/7.
o*(o + 2)*(o + 4)/7
Factor 78*m**2 + 3*m.
3*m*(26*m + 1)
Factor v**2/3 - 694*v/3 + 1384/3.
(v - 692)*(v - 2)/3
Factor 5*v**4 - 90*v**3 - 415*v**2 - 540*v - 220.
5*(v - 22)*(v + 1)**2*(v + 2)
Let -g**5/2 + 55*g**4/2 + 4*g**3 - 220*g**2 - 8*g + 440 = 0. Calculate g.
-2, 2, 55
Find m, given that -2*m**3 - 20*m**2 + 22*m = 0.
-11, 0, 1
Find n, given that 2*n**4/3 - 32*n**3/3 + 28*n**2 - 80*n/3 + 26/3 = 0.
1, 13
Solve -n**3 - 5*n**2 + 8*n + 48 = 0.
-4, 3
Suppose -3*m**3 - 6*m**2 + 45*m = 0. What is m?
-5, 0, 3
Let -p**4/5 + p**3 - 4*p**2/5 = 0. What is p?
0, 1, 4
Find d such that -5*d**2 - 2280*d - 259920 = 0.
-228
Factor -35*s**3 + 970*s**2 - 665*s - 270.
-5*(s - 27)*(s - 1)*(7*s + 2)
Find o such that -4*o**4 + 180*o**3 - 1556*o**2 + 1932*o + 3672 = 0.
-1, 3, 9, 34
Solve -y**5/2 - 9*y**4/2 - 17*y**3/2 + 9*y**2/2 + 9*y = 0 for y.
-6, -3, -1, 0, 1
Factor 2*p**4 + 444*p**3 + 1754*p**2 + 2184*p + 872.
2*(p + 1)**2*(p + 2)*(p + 218)
Find x, given that -2*x**4 + 130*x**3 - 370*x**2 - 130*x + 372 = 0.
-1, 1, 3, 62
Find j, given that j**5/5 + 3*j**4 + 36*j**3/5 - 4*j**2/5 - 48*j/5 = 0.
-12, -2, 0, 1
Factor 5*w**3 - 2385*w**2 - 14445*w - 21735.
5*(w - 483)*(w + 3)**2
Factor 19881*p**4 + 199374*p**3 + 502669*p**2 + 14140*p + 100.
(p + 5)**2*(141*p + 2)**2
Factor -490000*w**2/3 + 2800*w/3 - 4/3.
-4*(350*w - 1)**2/3
Factor t**2/10 + t/10 - 21/5.
(t - 6)*(t + 7)/10
Suppose 3*q**4/4 + 393*q**3/2 + 49887*q**2/4 - 52269*q + 53067 = 0. What is q?
-133, 2
Factor 5*f**3/6 + 125*f**2/6 + 500*f/3 + 1250/3.
5*(f + 5)*(f + 10)**2/6
Suppose 75*z**3 - 160*z**2 - 1780*z + 240 = 0. What is z?
-4, 2/15, 6
Factor 51*r**4 + 588*r**3 + 2160*r**2 + 2112*r - 1536.
3*(r + 4)**3*(17*r - 8)
Solve -4*n**5 + 44*n**4 - 184*n**3 + 360*n**2 - 324*n + 108 = 0.
1, 3
Factor 34*t**2 - 8*t.
2*t*(17*t - 4)
Suppose 2*i**3 + 64*i**2 + 178*i + 116 = 0. What is i?
-29, -2, -1
Factor 4*v**4/3 - 4*v**2/3.
4*v**2*(v - 1)*(v + 1)/3
Factor -3*i**5 + 3*i**4 + 3*i**3 - 3*i**2.
-3*i**2*(i - 1)**2*(i + 1)
Find w such that 3*w**5/8 - 27*w**4/4 + 183*w**3/8 + 135*w**2/2 + 75*w/2 = 0.
-1, 0, 10
Determine c so that 3*c**4/8 - 9*c**3/8 - 27*c**2/8 + 69*c/8 - 9/2 = 0.
-3, 1, 4
Find b, given that -2*b**4 - 2*b**3 + 2*b**2 + 2*b = 0.
-1, 0, 1
Suppose 8*d**2 - 10*d + 2 = 0. Calculate d.
1/4, 1
Solve -2*o**4/3 + 19*o**3/3 - 7*o**2 - 26*o/3 + 16/3 = 0.
-1, 1/2, 2, 8
Determine x, given that -x**4 + 13*x**3 - 33*x**2 + 31*x - 10 = 0.
1, 10
Let 6*s**3/7 + 44*s**2/7 - 32*s/7 = 0. What is s?
-8, 0, 2/3
Find u, given that -5*u**4 + 5*u**3 + 45*u**2 + 55*u + 20 = 0.
-1, 4
Suppose -n**5/2 - 21*n**4/2 + 63*n**3 - 52*n**2 = 0. Calculate n.
-26, 0, 1, 4
Factor k**3 - 51*k**2 - 160*k - 108.
(k - 54)*(k + 1)*(k + 2)
Determine x so that x**3/2 - 19*x**2/2 - x/2 + 19/2 = 0.
-1, 1, 19
Find j, given that -j**2/9 + 1978*j/9 + 440 = 0.
-2, 1980
Factor 5*m**3 + 25*m**2 - 40*m - 60.
5*(m - 2)*(m + 1)*(m + 6)
Factor 5*c**4 + 525*c**3 - 530*c**2.
5*c**2*(c - 1)*(c + 106)
Solve t**2 + 13*t - 14 = 0.
-14, 1
Factor k**4/6 + 9*k**3 - 28*k**2/3 - 9*k + 55/6.
(k - 1)**2*(k + 1)*(k + 55)/6
Let -s**5/2 + 3*s**3/2 - s**2 = 0. Calculate s.
-2, 0, 1
Factor 5*p**2/4 + 8475*p/2 + 14365125/4.
5*(p + 1695)**2/4
Suppose -5*u**4 + 335*u**3 + 345*u**2 - 335*u - 340 = 0. What is u?
-1, 1, 68
Factor -3*d**3/4 - 171*d**2/2 - 3249*d - 41154.
-3*(d + 38)**3/4
Factor -2*q**3 - 584*q**2 + 3590*q + 4172.
-2*(q - 7)*(q + 1)*(q + 298)
Determine c, given that c**5 - 7*c**4/6 - 35*c**3/6 + c**2 = 0.
-2, 0, 1/6, 3
Determine d, given that d**4 - 9*d**3 + 30*d**2 - 44*d + 24 = 0.
2, 3
Find v, given that -4*v**3 - 474*v**2 + 4302*v - 2032 = 0.
-127, 1/2, 8
Factor 3*j**2 + 18*j.
3*j*(j + 6)
Let g**5/5 - 128*g**4/5 - 259*g**3/5 - 26*g**2 = 0. Calculate g.
-1, 0, 130
Factor -3*b**3 - 27*b**2.
-3*b**2*(b + 9)
Factor 2*v**3/11 - 4*v**2/11 - 2*v/11 + 4/11.
2*(v - 2)*(v - 1)*(v + 1)/11
Factor o**3 + 34*o**2 + 31*o - 66.
(o - 1)*(o + 2)*(o + 33)
Factor 2*y**3/9 + 4*y**2 - 26*y/3 + 40/9.
2*(y - 1)**2*(y + 20)/9
Suppose -2*c**2/7 + 72*c/7 - 256/7 = 0. What is c?
4, 32
Let -3*y**3 - 2493*y**2 - 690561*y - 63761799 = 0. What is y?
-277
Factor s**3/2 + 489*s**2/2 + 79707*s/2 + 4330747/2.
(s + 163)**3/2
Factor -2*h**2/7 - 2*h/7 + 16.
-2*(h - 7)*(h + 8)/7
Factor 4*o**3 - 48*o**2 + 116*o + 168.
4*(o - 7)*(o - 6)*(o + 1)
Factor -38*y**2/13 + 16610*y/13 - 1748/13.
-2*(y - 437)*(19*y - 2)/13
Determine h so that -3*h**4/5 - 51*h**3/5 + 183*h**2/5 + 51*h/5 - 36 = 0.
-20, -1, 1, 3
Let -2*w**4/3 + 14*w**3/3 + 80*w**2/3 + 88*w/3 = 0. Calculate w.
-2, 0, 11
Solve 12*u**2 - 220*u - 152 = 0.
-2/3, 19
Factor g**2/7 - 16*g/7 + 15/7.
(g - 15)*(g - 1)/7
Find n, given that 3*n**5 - 6*n**4 + 6*n**2 - 3*n = 0.
-1, 0, 1
Solve q**3/4 + 117*q**2/4 - 1537*q/4 + 1419/4 = 0 for q.
-129, 1, 11
Determine f, given that 3*f**3 + 450*f**2 + 16416*f - 34656 = 0.
-76, 2
Factor 68*h**2 - 96*h.
4*h*(17*h - 24)
Suppose 9*x**3 - 849*x**2 - 573*x + 285 = 0. What is x?
-1, 1/3, 95
Factor 5*i**2 - 60*i.
5*i*(i - 12)
Find f such that 5*f**2 - 5995*f + 5990 = 0.
1, 1198
Let 4*n**4/5 + 20*n**3 - 216*n**2/5 = 0. What is n?
-27, 0, 2
Factor -2*r**2 + 1164*r - 169362.
-2*(r - 291)**2
Suppose 2*s**3/9 + 2*s**2/9 - 64*s/3 - 88 = 0. What is s?
-6, 11
Factor w**2/6 + 11*w/3 + 20/3.
(w + 2)*(w + 20)/6
Factor 3*u**2 + 1434*u + 171363.
3*(u + 239)**2
Find d, given that 2*d**2/9 + 1258*d/9 - 2524/9 = 0.
-631, 2
Solve v**5 - 14*v**4 - 18*v**3 + 44*v**2 + 17*v - 30 = 0.
-2, -1, 1, 15
Factor -o**3 + 27*o**2 + 88*o + 60.
-(o - 30)*(o + 1)*(o + 2)
Find k such that -220*k**2 - 375*k - 80 = 0.
-16/11, -1/4
Factor -3*a**4/2 - 13*a**3/2 - 8*a**2 - 2*a.
-a*(a + 2)**2*(3*a + 1)/2
Factor -4*i**3 - 1648*i**2 + 3308*i - 1656.
-4*(i - 1)**2*(i + 414)
Let -2*w**4/3 - 10*w**3/3 - 2*w**2 + 10*w/3 + 8/3 = 0. What is w?
-4, -1, 1
Find u such that -4*u**5 + 183*u**4 - 651*u**3 + 895*u**2 - 549*u + 126 = 0.
3/4, 1, 42
What is z in z**3/2 + 4*z**2 + z/2 - 21 = 0?
-7, -3, 2
Solve 10*m**5/11 + 8*m**4/11 - 34*m**3/11 - 8*m**2/11 + 24*m/11 = 0 for m.
-2, -1, 0, 1, 6/5
Suppose 6*d**3/11 - 120*d**2/11 + 384*d/11 = 0. Calculate d.
0, 4, 16
Factor -3*v**3/7 - 24*v**2/7 + 27*v/7.
-3*v*(v - 1)*(v + 9)/7
Solve 60*d**5 - 176*d**4 - 240*d**3 - 64*d**2 = 0 for d.
-2/3, -2/5, 0, 4
Find u, given that -2*u**4 + 120*u**3 + 504*u**2 + 512*u = 0.
-2, 0, 64
Factor -9*y**3/5 + 12*y**2/5.
-3*y**2*(3*y - 4)/5
Factor c**5 + 45*c**4 + 42*c**3 - 88*c**2.
c**2*(c - 1)*(c + 2)*(c + 44)
Suppose -27*z**5 - 114*z**4 - 105*z**3 - 18*z**2 = 0. Calculate z.
-3, -1, -2/9, 0
Factor -y**3 - 1121*y**2 - 314720*y - 313600.
-(y + 1)*(y + 560)**2
Factor -18*g**3/5 + 34*g**2/5 - 14*g/5 - 2/5.
-2*(g - 1)**2*(9*g +