 = 0 for a.
-661, 1
Determine r so that -r**4 + 69*r**3 - 1512*r**2 + 8640*r + 41472 = 0.
-3, 24
Factor z**3/5 + 17*z**2/5 + 16*z + 64/5.
(z + 1)*(z + 8)**2/5
What is m in m**3/2 - 3*m**2/2 - 5*m = 0?
-2, 0, 5
Determine g so that 12*g**5 + 44*g**4 + 20*g**3 - 60*g**2 - 32*g + 16 = 0.
-2, -1, 1/3, 1
Solve -3*k**4/2 - 9*k**3/2 - 3*k**2 = 0 for k.
-2, -1, 0
Suppose -3*c**2 + 285*c + 582 = 0. What is c?
-2, 97
Factor -93*v**3 - 471*v**2 + 528*v + 36.
-3*(v - 1)*(v + 6)*(31*v + 2)
Let -2*w**2/11 - 4*w/11 - 2/11 = 0. Calculate w.
-1
Factor 2*u**4/7 + 754*u**3/7 + 10098*u**2 - 10206*u.
2*u*(u - 1)*(u + 189)**2/7
Let -w**5/6 - 11*w**4/6 - 23*w**3/3 - 15*w**2 - 27*w/2 - 9/2 = 0. What is w?
-3, -1
Determine b so that 3*b**4/7 + 24*b**3/7 + 9*b**2 + 54*b/7 = 0.
-3, -2, 0
Factor -2*t**2/13 + 456*t/13 + 4266/13.
-2*(t - 237)*(t + 9)/13
Factor -2*b**3/3 - 76*b**2/3 - 214*b/3 - 140/3.
-2*(b + 1)*(b + 2)*(b + 35)/3
Suppose -g**4/2 + 9*g**3/2 + 3*g**2/2 - 29*g/2 + 9 = 0. What is g?
-2, 1, 9
Factor 2*s**3/9 - 2*s**2/9 - 44*s/9 + 80/9.
2*(s - 4)*(s - 2)*(s + 5)/9
Factor q**2/6 - 3*q/2 + 10/3.
(q - 5)*(q - 4)/6
Factor 35*s**4 + 25*s**3 - 45*s**2 - 25*s + 10.
5*(s - 1)*(s + 1)**2*(7*s - 2)
Determine s so that 3*s**4 + 9*s**3 - 9*s**2 - 21*s + 18 = 0.
-3, -2, 1
Let -2*n**2 - 4330*n = 0. What is n?
-2165, 0
Factor -3*n**2 - 2385*n - 4758.
-3*(n + 2)*(n + 793)
Factor -4*f**3 - 68*f**2 - 44*f + 2420.
-4*(f - 5)*(f + 11)**2
Find m such that 2*m**4 - 400*m**3 - 6*m**2 + 1196*m + 800 = 0.
-1, 2, 200
Suppose 4*p**2 - 420*p - 856 = 0. Calculate p.
-2, 107
Factor -3*n**5/5 - 78*n**4/5 - 387*n**3/5 - 108*n**2.
-3*n**2*(n + 3)**2*(n + 20)/5
What is m in -m**3 + 62*m**2 - 961*m = 0?
0, 31
Factor -4*p**2 + 568*p - 20164.
-4*(p - 71)**2
Determine p, given that -5*p**5 - 5*p**4 + 30*p**3 = 0.
-3, 0, 2
Factor -5*d**5 + 5*d**4 + 45*d**3 + 55*d**2 + 20*d.
-5*d*(d - 4)*(d + 1)**3
What is f in 2*f**4/5 - 8*f**3/5 - 42*f**2/5 = 0?
-3, 0, 7
Factor -2*f**3 - 210*f**2 + 224*f + 1272.
-2*(f - 3)*(f + 2)*(f + 106)
Let -14*b**5 - 3*b**4 + 16*b**3 + 3*b**2 - 2*b = 0. Calculate b.
-1, -1/2, 0, 2/7, 1
Let 4*d**2 - 568*d + 20164 = 0. Calculate d.
71
Determine b so that -2*b**4 + 22*b**3 + 50*b**2 + 26*b = 0.
-1, 0, 13
Factor -2*b**2/21 - 68*b/21 - 578/21.
-2*(b + 17)**2/21
Factor -4*a**3 + 20*a**2 - 32*a + 16.
-4*(a - 2)**2*(a - 1)
Suppose 2*p**5 - 58*p**4 + 160*p**3 - 104*p**2 = 0. Calculate p.
0, 1, 2, 26
Suppose 30*n**3 + 145*n**2 - 95*n - 780 = 0. Calculate n.
-4, -3, 13/6
Factor -3*h**4 + 108*h**3 - 846*h**2 - 2508*h + 3249.
-3*(h - 19)**2*(h - 1)*(h + 3)
Factor m**3/8 - 9*m**2/2 - 499*m/8 - 423/4.
(m - 47)*(m + 2)*(m + 9)/8
Factor -18*f**2 + 2823*f + 471.
-3*(f - 157)*(6*f + 1)
What is t in 5*t**5 - 40*t**4 + 105*t**3 - 110*t**2 + 40*t = 0?
0, 1, 2, 4
Factor p**4/5 + 4*p**3 + 54*p**2/5 + 52*p/5 + 17/5.
(p + 1)**3*(p + 17)/5
Determine x, given that -2*x**2 - 418*x + 420 = 0.
-210, 1
Factor -25*o**2/6 + 10*o + 15/2.
-5*(o - 3)*(5*o + 3)/6
Factor -3*s**4 - 30*s**3 - 99*s**2 - 108*s.
-3*s*(s + 3)**2*(s + 4)
Find r, given that r**2/2 + 7*r/2 + 6 = 0.
-4, -3
Suppose 8*b**4/7 - 30*b**3/7 + 50*b/7 + 12/7 = 0. What is b?
-1, -1/4, 2, 3
Factor -l**4/2 - 13*l**3/2 - 61*l**2/2 - 123*l/2 - 45.
-(l + 2)*(l + 3)**2*(l + 5)/2
Suppose -3*s**4/7 + 3*s**3/7 + 15*s**2/7 + 9*s/7 = 0. Calculate s.
-1, 0, 3
Suppose 3*s**4/2 + 33*s**3/4 - 57*s**2/2 + 12*s = 0. What is s?
-8, 0, 1/2, 2
Solve -1540*h**3 - 268*h**2 + 8*h = 0 for h.
-1/5, 0, 2/77
Factor f**4 - 45*f**3 + 169*f**2 - 207*f + 82.
(f - 41)*(f - 2)*(f - 1)**2
What is q in 2*q**3/11 + 126*q**2/11 + 1092*q/11 + 1696/11 = 0?
-53, -8, -2
Solve 2*m**5 + 56*m**4 - 62*m**3 - 116*m**2 = 0 for m.
-29, -1, 0, 2
Factor -f**5/6 + f**4/6.
-f**4*(f - 1)/6
Let -6*i**4/5 + 138*i**3/5 - 126*i**2/5 - 138*i/5 + 132/5 = 0. What is i?
-1, 1, 22
Solve 16*k**4 + 164*k**3 + 172*k**2 - 84*k - 108 = 0 for k.
-9, -1, 3/4
Suppose -3*l**2 - 18*l - 15 = 0. Calculate l.
-5, -1
Let -65*j**4 + 3460*j**3 + 6290*j**2 + 1940*j - 825 = 0. What is j?
-1, 3/13, 55
Let -t**4/3 - 379*t**3/3 - 377*t**2/3 + 379*t/3 + 126 = 0. Calculate t.
-378, -1, 1
Factor 4*s**2/5 + 296*s + 27380.
4*(s + 185)**2/5
Factor 2*g**3/17 + 26*g**2/17 - 28*g/17.
2*g*(g - 1)*(g + 14)/17
Factor 2*d**3/5 + 14*d**2 - 146*d/5 + 74/5.
2*(d - 1)**2*(d + 37)/5
Let -2*d**5 + 410*d**4/9 - 1852*d**3/9 - 696*d**2 + 4176*d + 960 = 0. What is d?
-4, -2/9, 6, 15
Factor t**4/5 - 34*t**3/5 - 148*t**2/5 - 152*t/5.
t*(t - 38)*(t + 2)**2/5
Suppose -6*r**4/5 - 16*r**3/5 + 42*r**2/5 + 36*r/5 - 16/5 = 0. What is r?
-4, -1, 1/3, 2
Solve 2*z**2 - 224*z = 0.
0, 112
Suppose 25*q**2/2 + 210*q + 882 = 0. What is q?
-42/5
Determine n so that -25*n**5 + 420*n**4 + 651*n**3 - 2066*n**2 + 1236*n - 216 = 0.
-3, 2/5, 1, 18
Factor -z**3/2 - 25*z**2 + 51*z/2.
-z*(z - 1)*(z + 51)/2
Suppose 2*b**3/3 - 26*b**2/3 + 70*b/3 + 98/3 = 0. Calculate b.
-1, 7
Let 2*o**3/7 + 8*o**2/7 - 174*o/7 - 540/7 = 0. Calculate o.
-10, -3, 9
Factor 5*b**4 + 75*b**3 - 5*b**2 - 75*b.
5*b*(b - 1)*(b + 1)*(b + 15)
Determine s, given that -s**2/4 + 27*s/4 + 29/2 = 0.
-2, 29
Let -3*p**3 + 27*p**2 - 72*p + 60 = 0. What is p?
2, 5
Factor -4*v**2 + 2544*v - 404496.
-4*(v - 318)**2
Suppose -10*w**5 - 5*w**4 + 15*w**3 + 5*w**2 - 5*w = 0. Calculate w.
-1, 0, 1/2, 1
Factor 4*h**2 - 600*h + 22500.
4*(h - 75)**2
Let -4*b**4 - 20*b**3 + 12*b**2 + 52*b - 40 = 0. What is b?
-5, -2, 1
Solve 96*h**2 - 4*h = 0.
0, 1/24
Factor -2*j**3 - 70*j**2 + 154*j + 222.
-2*(j - 3)*(j + 1)*(j + 37)
Find f such that -4*f**5/7 + 2*f**4 + 30*f**3/7 + 2*f**2/7 - 10*f/7 = 0.
-1, 0, 1/2, 5
Find d, given that -d**3/4 - 21*d**2 - 83*d/4 = 0.
-83, -1, 0
Factor 4*w**3/3 - 28*w**2/3 - 4*w/3 + 28/3.
4*(w - 7)*(w - 1)*(w + 1)/3
Factor -2*v**2 + 98*v/5 + 4.
-2*(v - 10)*(5*v + 1)/5
Let b**2/7 - 5*b/7 + 6/7 = 0. What is b?
2, 3
Factor -4*g**4 - 32*g**3 - 72*g**2 + 108.
-4*(g - 1)*(g + 3)**3
What is z in -2*z**2/15 + 8*z/5 + 26/15 = 0?
-1, 13
Solve -q**4/5 + 2*q**3 + 128*q**2/5 + 288*q/5 = 0 for q.
-4, 0, 18
Find o such that 2*o**4/9 - 4*o**3/3 + 14*o**2/9 + 4*o/3 - 16/9 = 0.
-1, 1, 2, 4
Let 3*u**3 + 534*u**2 + 2100*u + 2088 = 0. What is u?
-174, -2
What is x in x**4/5 - 9*x**3/5 - x**2/5 + 9*x/5 = 0?
-1, 0, 1, 9
Factor -4*t**3/7 + 44*t**2/7 + 260*t/7 - 300/7.
-4*(t - 15)*(t - 1)*(t + 5)/7
Find l, given that -l**5/2 + 3*l**4 + 41*l**3/2 - 3*l**2 - 20*l = 0.
-4, -1, 0, 1, 10
Factor 4*w**5 - 24*w**4 - 64*w**3.
4*w**3*(w - 8)*(w + 2)
Factor u**2/2 - 25*u/2 - 13.
(u - 26)*(u + 1)/2
Factor -3*g**2/4 - 6*g + 99/4.
-3*(g - 3)*(g + 11)/4
Factor -3*d**4/8 + 75*d**3/2 - 5625*d**2/4 + 46875*d/2 - 1171875/8.
-3*(d - 25)**4/8
Let 15*a**4 + 6621*a**3 + 975051*a**2 + 48036807*a + 19059138 = 0. Calculate a.
-147, -2/5
Factor 5*k**4/4 + 425*k**3/2 + 8360*k**2 - 58080*k.
5*k*(k - 6)*(k + 88)**2/4
Find z, given that 4*z**3 - 120*z**2 + 476*z + 600 = 0.
-1, 6, 25
Find p, given that 49*p**5/3 - 553*p**4/3 - 1070*p**3/3 - 298*p**2/3 + 157*p/3 - 13/3 = 0.
-1, 1/7, 13
Find y, given that -2*y**5/11 + 114*y**4/11 + 4*y**3/11 - 228*y**2/11 - 2*y/11 + 114/11 = 0.
-1, 1, 57
What is n in -n**5/2 - 7*n**4 - 30*n**3 - 41*n**2 - 35*n/2 = 0?
-7, -5, -1, 0
What is i in -i**3/6 + 14*i**2 = 0?
0, 84
Determine i so that 10*i**3 - 464*i**2 + 184*i = 0.
0, 2/5, 46
Determine t so that -t**2/3 - 71*t/3 + 24 = 0.
-72, 1
Find s, given that -s**2/6 - 4*s/3 - 5/2 = 0.
-5, -3
Suppose 5*i**2/3 - 28460*i/3 + 40498580/3 = 0. Calculate i.
2846
Find n such that -n**4/7 - 100*n**3/7 - 2886*n**2/7 - 5476*n/7 + 557183/7 = 0.
-37, 11
Solve 5*v**3 + 1190*v**2 - 2395*v + 1200 = 0.
-240, 1
Find u such that -4*u**4/7 + 8*u**3/7 + 52*u**2/7 - 8*u - 96/7 = 0.
-3, -1, 2, 4
Factor -3*p**5 + 264*p**4 + 810*p**3 + 816*p**2 + 273*p.
-3*p*(p - 91)*(p + 1)**3
Factor -4*h**4/3 + 56*h**3/3 - 96*h**2 + 216*h - 180.
-4*(h - 5)*(h - 3)**3/3
Determine h so that -4*h**4 + 300*h**2 + 1000*h = 0.
-5, 0, 10
Let 15*z**5/7 - 204*z**4/7 + 51*z**3/7 + 702*z**2 + 1944*z/7 = 0. What is z?
-4, -2/5, 0, 9
Suppose 14*o**2/15 + 8*o/5 - 8/15 = 0. Calculate o.
-2, 2/7
Find h such that -2*h**4/5 - 28*h**3/5 + 6*h**2/5 + 16*h - 56/5 = 0.
-14, -2, 1
Solve -21*g**5 - 300*g**4 - 1197*g**3 - 1914*g**2 - 1212*g - 216 = 0 for g.
-9, -2, -1, -2/7
Factor 2*w**3 + 88*w**2 + 1258*w + 5780.
2*(w + 10)*(w + 17)**2
Factor -2*r**3