+ 36*o**2/5.
-4*o**2*(o - 3)**2*(o - 1)/5
What is j in -5*j**2 + 125*j - 330 = 0?
3, 22
Factor -z**3 - 80*z**2 + z + 80.
-(z - 1)*(z + 1)*(z + 80)
Determine d so that 15*d**4 + 95*d**3 + 75*d**2 - 135*d - 50 = 0.
-5, -2, -1/3, 1
What is q in -4*q**3 - 120*q**2 - 1092*q - 2704 = 0?
-13, -4
Determine g so that -484*g**3 + 15400*g**2 + 2812*g + 128 = 0.
-1/11, 32
Factor -15*g**3 - 111*g**2 + 228*g + 108.
-3*(g - 2)*(g + 9)*(5*g + 2)
Determine t so that -3*t**2/5 + 1452*t/5 - 4329/5 = 0.
3, 481
Let -q**4/5 + 4*q**3/5 + 42*q**2/5 - 44*q + 35 = 0. What is q?
-7, 1, 5
Solve 3*a**5/4 + 6*a**4 + 6*a**3 - 24*a**2 - 36*a = 0.
-6, -2, 0, 2
Factor -20*l**5 - 72*l**4 - 88*l**3 - 32*l**2 + 12*l + 8.
-4*(l + 1)**4*(5*l - 2)
Factor 3*m**2/5 - 1392*m/5 + 161472/5.
3*(m - 232)**2/5
Factor -2*x**3/15 - 4*x**2/15 + 2*x/15 + 4/15.
-2*(x - 1)*(x + 1)*(x + 2)/15
Let 2*p**2 + 60*p - 62 = 0. What is p?
-31, 1
Factor -1405*i**2 - 2*i.
-i*(1405*i + 2)
Determine f so that 2*f**2/21 - 4*f/7 + 16/21 = 0.
2, 4
Factor -3*p**3/4 - 27*p**2 + 225*p/4 - 57/2.
-3*(p - 1)**2*(p + 38)/4
Factor f**3 + 25*f**2 + 88*f + 84.
(f + 2)**2*(f + 21)
Factor -9*t**4 - 12*t**3 + 39*t**2 - 18*t.
-3*t*(t - 1)*(t + 3)*(3*t - 2)
Determine u, given that 2*u**3 + 22*u**2 + 80*u + 96 = 0.
-4, -3
Factor -2*d**4/5 - 4*d**3/5 + 2*d**2 + 12*d/5.
-2*d*(d - 2)*(d + 1)*(d + 3)/5
Factor -25*t**3 + 220*t**2 + 900*t + 720.
-5*(t - 12)*(t + 2)*(5*t + 6)
Suppose 3*h**4/5 + 312*h**3/5 + 2079*h**2/5 + 4098*h/5 + 2328/5 = 0. Calculate h.
-97, -4, -2, -1
Let -2*n**3/13 - 10*n**2/13 = 0. What is n?
-5, 0
Suppose 4*s**2/7 + 664*s/7 + 660/7 = 0. Calculate s.
-165, -1
Factor -2*w**4 + 17*w**3/3 - 5*w**2 + w + 1/3.
-(w - 1)**3*(6*w + 1)/3
Factor -c**5/2 - 11*c**4/2 - 39*c**3/2 - 61*c**2/2 - 22*c - 6.
-(c + 1)**3*(c + 2)*(c + 6)/2
Factor 2*l**3 + 12*l**2 - 50*l + 36.
2*(l - 2)*(l - 1)*(l + 9)
Factor 2*c**4/9 + 8*c**3/9 - 32*c/9 - 32/9.
2*(c - 2)*(c + 2)**3/9
Factor l**3 - 4*l**2 + 4*l.
l*(l - 2)**2
Factor 50*s**5/13 + 30*s**4/13 - 138*s**3/13 - 94*s**2/13 + 96*s/13 + 72/13.
2*(s + 1)**3*(5*s - 6)**2/13
Solve -2*d**3/7 - 2*d**2 + 8*d/7 + 8 = 0 for d.
-7, -2, 2
Factor -3*g**2 + 186*g - 2883.
-3*(g - 31)**2
Factor 4*q**3 + 4*q**2 - 8*q.
4*q*(q - 1)*(q + 2)
What is y in -y**5/6 + 5*y**4/2 - 55*y**3/6 - 5*y**2/2 + 100*y/3 + 24 = 0?
-1, 4, 9
Suppose 2*f**5 + 322*f**4 + 17492*f**3 + 331780*f**2 + 612362*f + 297754 = 0. Calculate f.
-53, -1
Factor 3*b**5 - 870*b**4 + 63936*b**3 - 124416*b**2.
3*b**2*(b - 144)**2*(b - 2)
Let 20*m**4 + 1168*m**3 - 12636*m**2 + 28760*m + 13600 = 0. What is m?
-68, -2/5, 5
Factor -y**2 + 1224*y - 374544.
-(y - 612)**2
Suppose 92*p**2 - 90*p - 2 = 0. Calculate p.
-1/46, 1
Find a, given that -66*a**2 - 1048*a + 128 = 0.
-16, 4/33
Factor -2*d**4/3 + 20*d**3/3 - 24*d**2 + 36*d - 18.
-2*(d - 3)**3*(d - 1)/3
Factor 2*n**4 + 56*n**3 + 52*n**2 - 56*n - 54.
2*(n - 1)*(n + 1)**2*(n + 27)
Factor -3*d**5 + 12*d**4 - 48*d**2 + 48*d.
-3*d*(d - 2)**3*(d + 2)
Factor -5*o**3 + 55*o**2 - 130*o + 80.
-5*(o - 8)*(o - 2)*(o - 1)
Factor 33*g**4 + 105*g**3 + 84*g**2 + 12*g.
3*g*(g + 1)*(g + 2)*(11*g + 2)
Solve b**4/4 + 5*b**3/2 - 23*b**2/4 + 3*b = 0.
-12, 0, 1
Factor -2*d**4 + 28*d**3 - 112*d**2 + 128*d.
-2*d*(d - 8)*(d - 4)*(d - 2)
Suppose 5*r**2/2 + 125*r + 3125/2 = 0. What is r?
-25
Factor -b**2/3 - 2934*b - 6456267.
-(b + 4401)**2/3
Suppose -3*h**3 - 51*h**2 + 3*h + 51 = 0. Calculate h.
-17, -1, 1
Factor 2*y**5/5 + 14*y**4 + 198*y**3/5 + 194*y**2/5 + 64*y/5.
2*y*(y + 1)**3*(y + 32)/5
Find k, given that 14*k**2/5 + 34*k/15 - 8/15 = 0.
-1, 4/21
Let 5*k**4 + 40*k**3 - 15*k**2 - 110*k + 80 = 0. Calculate k.
-8, -2, 1
Find r such that -2*r**2/3 - 660*r - 163350 = 0.
-495
Let -8*y**4/3 - 10*y**3/3 + 14*y**2/3 + 4*y/3 = 0. What is y?
-2, -1/4, 0, 1
Determine y, given that -y**3/2 + 431*y**2/2 - 643*y + 428 = 0.
1, 2, 428
Solve -3*n**3/7 + 24*n**2/7 - 3*n/7 - 18 = 0 for n.
-2, 3, 7
Factor -6*c**3/7 + 18*c**2/7 + 54*c/7 + 30/7.
-6*(c - 5)*(c + 1)**2/7
Determine d, given that d**4/7 - d**3 + 6*d**2/7 + 32*d/7 - 32/7 = 0.
-2, 1, 4
Solve 5*a**2 - 100*a + 500 = 0 for a.
10
Find l, given that -162*l**3/13 - 12546*l**2/13 - 5552*l/13 - 616/13 = 0.
-77, -2/9
Determine i, given that -i**2/2 - 5*i/2 - 3 = 0.
-3, -2
Let u**5 - 76*u**4 + 147*u**3 + 76*u**2 - 148*u = 0. Calculate u.
-1, 0, 1, 2, 74
Factor 4*r**4 + 1064*r**3 + 3168*r**2 + 3160*r + 1052.
4*(r + 1)**3*(r + 263)
Factor -2*i**2/3 + 14272*i/3 - 25461248/3.
-2*(i - 3568)**2/3
Determine t so that -3*t**3 + 117*t**2 - 1197*t + 1083 = 0.
1, 19
Find v such that 2*v**5/3 + 14*v**4/3 + 26*v**3/3 + 2*v**2/3 - 28*v/3 - 16/3 = 0.
-4, -2, -1, 1
Factor p**5/5 + 3*p**4/5 - 2*p**3/5 - 12*p**2/5 - 8*p/5.
p*(p - 2)*(p + 1)*(p + 2)**2/5
Factor y**2 - 509*y.
y*(y - 509)
Factor 5*j**2 - j.
j*(5*j - 1)
Factor -6*q**3/5 + 504*q**2/5 - 14112*q/5 + 131712/5.
-6*(q - 28)**3/5
Suppose g**2/2 + 250*g + 1491/2 = 0. What is g?
-497, -3
Suppose 2*w**4/13 - 46*w**3/13 - 102*w**2/13 + 46*w/13 + 100/13 = 0. What is w?
-2, -1, 1, 25
Suppose 2*p**4/9 - 82*p**3/9 - 94*p**2 - 294*p - 300 = 0. Calculate p.
-3, 50
Find b such that -4*b**5 + 32*b**4 - 48*b**3 - 8*b**2 + 52*b - 24 = 0.
-1, 1, 6
Let 2*h**4/11 - 4*h**3/11 - 42*h**2/11 + 124*h/11 - 80/11 = 0. Calculate h.
-5, 1, 2, 4
Factor 3*x**2 - 30*x + 75.
3*(x - 5)**2
Factor u**2/2 + u - 3/2.
(u - 1)*(u + 3)/2
Factor 3*z**2 - 30*z + 48.
3*(z - 8)*(z - 2)
Find h, given that 2*h**4/7 + 674*h**3/7 - 2034*h**2/7 + 2038*h/7 - 680/7 = 0.
-340, 1
Solve 7*t**2/2 + 2584*t + 738 = 0 for t.
-738, -2/7
Factor -16*g**3/3 + 20*g**2 - 68*g/3 + 8.
-4*(g - 2)*(g - 1)*(4*g - 3)/3
Determine x, given that -x**2/3 + 11*x/3 + 4 = 0.
-1, 12
Factor v**2/3 + 2*v/3 + 1/3.
(v + 1)**2/3
Determine t so that 2*t**4/9 + 2*t**3/3 + 2*t**2/3 + 2*t/9 = 0.
-1, 0
Solve -4*i**4/7 + 80*i**3/7 - 76*i**2 + 1464*i/7 - 1440/7 = 0.
3, 4, 10
Factor 2*i**2/11 + 2146*i/11.
2*i*(i + 1073)/11
Suppose -3*c**5 - 12*c**4 + 39*c**3 + 12*c**2 - 36*c = 0. Calculate c.
-6, -1, 0, 1, 2
Suppose 2*g**5/15 - 6*g**4/5 + 14*g**3/5 - 38*g**2/15 + 4*g/5 = 0. What is g?
0, 1, 6
Suppose -3*q**2/7 + 99*q/7 - 690/7 = 0. Calculate q.
10, 23
Factor b**5/4 - 17*b**4/4 + 87*b**3/4 - 91*b**2/4 - 49*b.
b*(b - 7)**2*(b - 4)*(b + 1)/4
Factor 5*f**2 + 240*f + 2035.
5*(f + 11)*(f + 37)
Let -3*q**5 + 258*q**4 - 5010*q**3 - 22956*q**2 - 29835*q - 12150 = 0. Calculate q.
-2, -1, 45
What is x in -3*x**5 - 21*x**4 + 519*x**3 + 5877*x**2 + 16848*x + 14580 = 0?
-9, -2, 15
Determine b so that 10*b**2 + 248*b - 50 = 0.
-25, 1/5
Suppose 4*p**3 - 4800*p**2 + 1444788*p - 2870408 = 0. Calculate p.
2, 599
Factor -3*c**3 - 381*c**2 - 753*c - 375.
-3*(c + 1)**2*(c + 125)
Suppose -v**3 - 5*v**2 + 6*v = 0. What is v?
-6, 0, 1
Factor -363*y**3 - 35079*y**2 + 12792*y - 1164.
-3*(y + 97)*(11*y - 2)**2
Solve 5*i**2/3 - 15*i + 70/3 = 0 for i.
2, 7
Let -4*m**4 - 2*m**3 + 26*m**2 + 42*m + 18 = 0. What is m?
-3/2, -1, 3
Factor -3*t**3/7 + 450*t**2/7 - 16875*t/7.
-3*t*(t - 75)**2/7
Determine c, given that -15*c**2 - 770*c + 520 = 0.
-52, 2/3
What is r in -4*r**5/5 + 8*r**4/5 - 8*r**2/5 + 4*r/5 = 0?
-1, 0, 1
Factor -20*v**3 - 75*v**2 + 35*v + 60.
-5*(v - 1)*(v + 4)*(4*v + 3)
Solve -4*v**4 + 72*v**2 - 128*v + 60 = 0 for v.
-5, 1, 3
Factor n**4/4 - 13*n**3/4 + 23*n**2/4 + 217*n/4 - 147.
(n - 7)**2*(n - 3)*(n + 4)/4
Determine s so that -4*s**2 + 3496*s - 3492 = 0.
1, 873
Suppose -112*u**4 - 808*u**3 - 831*u**2 - 72*u + 108 = 0. What is u?
-6, -3/4, 2/7
Factor h**3/4 + 37*h**2/4.
h**2*(h + 37)/4
Factor -10*n**3 - 46*n**2 - 64*n - 24.
-2*(n + 2)**2*(5*n + 3)
Factor -3*u**3/4 + 63*u**2/2 - 441*u + 2058.
-3*(u - 14)**3/4
Factor 6*o**3 - 381*o**2/2 + 1488*o + 384.
3*(o - 16)**2*(4*o + 1)/2
Determine k so that -k**3/3 + 7*k**2 - 45*k + 275/3 = 0.
5, 11
Factor -5*o**2/8 + 537*o/8 - 107/4.
-(o - 107)*(5*o - 2)/8
Factor -2*d**4/3 - 466*d**3/3 - 3066*d**2 - 63014*d/3 - 145432/3.
-2*(d + 7)**3*(d + 212)/3
Let -6*j**4 + 514*j**3 + 704*j**2 - 696*j = 0. What is j?
-2, 0, 2/3, 87
Factor -4*x**2/7 + 152*x/7 + 320/7.
-4*(x - 40)*(x + 2)/7
Suppose -2*k**4/19 + 60*k**3/19 - 442*k**2/19 + 840*k/19 = 0. What is k?
0, 3, 7, 20
Suppose 3*n**2 + 1906*n - 1272 = 0. What is n?
-636, 2/3
Determine p so that 3*p**5/2 - 75*p**4/2 + 99*p**3 + 2916*p**2 - 9072*p - 77760 = 0.
-6, -5, 12
Factor 25*g