g**4 - 200*g**3 + 500*g**2 - 240*g = 0 for g.
-4, 0, 2/3, 2, 3
Suppose z**2/5 - 52*z/5 + 676/5 = 0. Calculate z.
26
Factor -4*c**2 - 8*c + 12.
-4*(c - 1)*(c + 3)
Factor -m**2/4 - 31*m/2 + 63/4.
-(m - 1)*(m + 63)/4
Factor -4*q**2 - 4*q.
-4*q*(q + 1)
Find g, given that 5*g**4 + 80*g**3 - 880*g**2 + 1920*g = 0.
-24, 0, 4
Factor y**2/7 + 11*y/7 + 10/7.
(y + 1)*(y + 10)/7
Suppose -6*h**4/5 - 14*h**3/5 - 2*h**2 - 2*h/5 = 0. What is h?
-1, -1/3, 0
Solve -5*f**5 - 20*f**4 + 355*f**3 + 2750*f**2 + 6500*f + 5000 = 0 for f.
-5, -2, 10
Factor 3*a**3/7 + 132*a**2/7 + 129*a/7.
3*a*(a + 1)*(a + 43)/7
What is h in -2*h**3 + 1806*h**2 - 410400*h + 1215000 = 0?
3, 450
Factor -20*a**3 - 35*a**2 - 10*a + 5.
-5*(a + 1)**2*(4*a - 1)
Factor 2*g**2/15 - 62*g/15 - 44/5.
2*(g - 33)*(g + 2)/15
Find c, given that c**2/7 - 780*c/7 + 152100/7 = 0.
390
Suppose -3*q**2 - 1365*q - 2718 = 0. What is q?
-453, -2
Find x, given that -16*x**5/5 + 44*x**4 + 312*x**3/5 - 32*x**2 - 296*x/5 - 12 = 0.
-1, -1/4, 1, 15
Find o, given that -2*o**4/3 - 28*o**3/3 - 46*o**2 - 280*o/3 - 200/3 = 0.
-5, -2
Let -5*w**2 - 55*w + 210 = 0. Calculate w.
-14, 3
Factor -6*n**2/11 - 20*n/11 - 14/11.
-2*(n + 1)*(3*n + 7)/11
Suppose -3*u**3 + 15*u**2 + 96*u + 108 = 0. Calculate u.
-2, 9
Find l such that -14*l**5 + 43*l**4/2 + 11*l**3/2 - 41*l**2/2 + 17*l/2 - 1 = 0.
-1, 1/4, 2/7, 1
Factor p**3/3 + 25*p**2/3 + 41*p + 57.
(p + 3)**2*(p + 19)/3
Factor 5*j**3 - 740*j**2.
5*j**2*(j - 148)
Factor -4*i**2 + 838*i + 420.
-2*(i - 210)*(2*i + 1)
Solve 24*h**2 - 75*h - 99 = 0.
-1, 33/8
Let -u**4 + 4*u**3 - 4*u**2 = 0. Calculate u.
0, 2
Factor -3*h**3/4 - 1353*h**2/4 + 2715*h/4 - 1359/4.
-3*(h - 1)**2*(h + 453)/4
Find p such that -2*p**3/13 + 6*p**2 - 72*p/13 - 152/13 = 0.
-1, 2, 38
Find n such that -5*n**3 + 3055*n**2 - 3050*n = 0.
0, 1, 610
Determine b, given that -3*b**4 - 21*b**3 - 15*b**2 + 21*b + 18 = 0.
-6, -1, 1
Factor 2*u**4/3 - 8*u**3 + 104*u**2/3 - 64*u + 128/3.
2*(u - 4)**2*(u - 2)**2/3
Find f, given that 6*f**4 + 303*f**3 + 441*f**2 - 3*f - 147 = 0.
-49, -1, 1/2
Factor -2*a**2 + 12*a - 18.
-2*(a - 3)**2
Suppose 270*d**2 - 808*d - 6 = 0. What is d?
-1/135, 3
Determine q, given that -32*q**3/17 + 1168*q**2/17 + 590*q/17 + 74/17 = 0.
-1/4, 37
Factor 3*p**3/5 + 1857*p**2/5 + 57288*p - 57660.
3*(p - 1)*(p + 310)**2/5
Factor -43*x**3/4 - 175*x**2/2 - 184*x - 24.
-(x + 4)**2*(43*x + 6)/4
Solve -3*j**4/5 + j**3/5 + j**2 - j/5 - 2/5 = 0 for j.
-1, -2/3, 1
Factor -2*w**3/7 + 24*w**2/7 - 40*w/7.
-2*w*(w - 10)*(w - 2)/7
Let -4*h**2 - 56*h = 0. What is h?
-14, 0
Find p, given that 3*p**4 + 2124*p**3 + 378063*p**2 + 747654*p = 0.
-353, -2, 0
Determine n, given that 5*n**2 - 85*n + 210 = 0.
3, 14
Factor 3*t**2/2 + 69*t + 387/2.
3*(t + 3)*(t + 43)/2
Let 2*l**5 + 10*l**4 - 64*l**3 + 72*l**2 = 0. What is l?
-9, 0, 2
Determine r so that -r**4 - 6*r**3 - 11*r**2 - 6*r = 0.
-3, -2, -1, 0
Solve -w**5/3 - 16*w**4/3 + 19*w**3/3 + 34*w**2/3 = 0 for w.
-17, -1, 0, 2
Determine h, given that 3*h**4 - 855*h**3 + 63012*h**2 - 297360*h + 235200 = 0.
1, 4, 140
Factor -h**2/5 + 1786*h/5 - 797449/5.
-(h - 893)**2/5
Factor 5*g**3 - 25*g**2 - 70*g.
5*g*(g - 7)*(g + 2)
Find r such that -4*r**4/3 + 4*r**3/3 + 16*r**2/3 - 16*r/3 = 0.
-2, 0, 1, 2
Factor 2*o**4 + 8*o**3 - 38*o**2 + 28*o.
2*o*(o - 2)*(o - 1)*(o + 7)
What is r in 2*r**2/13 + 86*r/13 + 920/13 = 0?
-23, -20
Find h, given that 2*h**4 + 10*h**3 + 18*h**2 + 14*h + 4 = 0.
-2, -1
Let 2*p**4 + 28*p**3 + 48*p**2 = 0. What is p?
-12, -2, 0
Factor -3*k**5 - 60*k**4.
-3*k**4*(k + 20)
Determine i, given that 2*i**4/7 - 352*i**3/7 - 356*i**2/7 + 352*i/7 + 354/7 = 0.
-1, 1, 177
Factor -w**2/2 + 95*w + 191/2.
-(w - 191)*(w + 1)/2
Factor 8*k**3 - 86*k**2 - 230*k - 52.
2*(k - 13)*(k + 2)*(4*k + 1)
Factor -x**4 + 5*x**3 - 3*x**2 - 9*x.
-x*(x - 3)**2*(x + 1)
Let -h**3 + 32*h**2 + 103*h + 70 = 0. What is h?
-2, -1, 35
Determine r so that -9*r**2/5 - 186*r/5 + 63/5 = 0.
-21, 1/3
Suppose -v**4/8 + 17*v**3/8 - 45*v**2/4 + 27*v/2 + 27 = 0. What is v?
-1, 6
Factor x**4 - 20*x**3 + 54*x**2 - 52*x + 17.
(x - 17)*(x - 1)**3
Factor -17*i**4 - 2*i**3 + 17*i**2 + 2*i.
-i*(i - 1)*(i + 1)*(17*i + 2)
Factor k**3/4 - k**2 - 7*k/4 + 5/2.
(k - 5)*(k - 1)*(k + 2)/4
Factor 7*x**2 + 1662*x.
x*(7*x + 1662)
What is y in y**2/4 - 11*y/4 + 6 = 0?
3, 8
Determine i, given that 4*i**2/3 - 1392*i = 0.
0, 1044
Factor -r**3/3 + 5*r**2/3 + 50*r/3.
-r*(r - 10)*(r + 5)/3
Factor 23*g**3/3 - 370*g**2/3 + 377*g/3 - 10.
(g - 15)*(g - 1)*(23*g - 2)/3
Suppose 2*t**2 - 1908*t + 455058 = 0. Calculate t.
477
Determine l so that 3*l**4 + 9*l**3 + 3*l**2 - 9*l - 6 = 0.
-2, -1, 1
Determine f, given that 3*f**5 - 6*f**4 - 3*f**3 + 6*f**2 = 0.
-1, 0, 1, 2
Find j such that 3*j**5 - 6*j**4 - 21*j**3 + 60*j**2 - 36*j = 0.
-3, 0, 1, 2
Factor i**3 - 37*i**2/7 + 52*i/7 - 12/7.
(i - 3)*(i - 2)*(7*i - 2)/7
Factor 2*i**4 + 16*i**3 + 22*i**2 - 40*i.
2*i*(i - 1)*(i + 4)*(i + 5)
Find h, given that -4*h**4 - 28*h**3 + 268*h**2 - 548*h + 312 = 0.
-13, 1, 2, 3
Determine s so that s**2 + s - 30 = 0.
-6, 5
Let x**4/2 - 11*x**3 + 121*x**2/2 = 0. Calculate x.
0, 11
What is r in 2*r**5/3 + 8*r**4/3 - 118*r**3/3 + 356*r**2/3 - 424*r/3 + 176/3 = 0?
-11, 1, 2
Determine t so that -2*t**5/7 - 88*t**4/7 - 166*t**3/7 + 88*t**2/7 + 24*t = 0.
-42, -2, -1, 0, 1
Suppose -i**5/5 + 2*i**4/5 + 39*i**3/5 - 8*i**2 - 80*i = 0. What is i?
-4, 0, 5
Factor 4*h**2 - 1060*h + 1056.
4*(h - 264)*(h - 1)
Determine p, given that p**5 + 3*p**4/4 - 5*p**3/4 - 3*p**2/4 + p/4 = 0.
-1, 0, 1/4, 1
Factor 2*m**2/5 - 5702*m/5.
2*m*(m - 2851)/5
Factor -2*o**3/23 + 6*o**2/23.
-2*o**2*(o - 3)/23
Factor -2*p**2 + 14*p.
-2*p*(p - 7)
Factor -3*x**2 - 129*x + 414.
-3*(x - 3)*(x + 46)
Factor 4*b**2 - 164*b + 160.
4*(b - 40)*(b - 1)
Let -k**4 + 530*k**3 - 70224*k**2 - 530*k + 70225 = 0. What is k?
-1, 1, 265
Factor 4*i**5/3 + 1592*i**4/3 + 4192*i**3 + 37568*i**2/3 + 49984*i/3 + 8320.
4*(i + 2)**4*(i + 390)/3
Suppose -2*k**4 - 42*k**3 - 176*k**2 - 264*k - 128 = 0. Calculate k.
-16, -2, -1
Factor -3*y**2 + 18*y + 48.
-3*(y - 8)*(y + 2)
Determine l, given that -4*l**2/7 - 23960*l/7 = 0.
-5990, 0
Factor -5*c**2/4 - 495*c/4 - 1395/2.
-5*(c + 6)*(c + 93)/4
Factor 2*p**3/5 - 1104*p**2/5 - 1106*p/5.
2*p*(p - 553)*(p + 1)/5
Factor m**5/3 - 2*m**4/3 - 13*m**3 - 68*m**2/3 - 32*m/3.
m*(m - 8)*(m + 1)**2*(m + 4)/3
Factor a**4/4 - 9*a**3/4 + 3*a**2/2 + 4*a.
a*(a - 8)*(a - 2)*(a + 1)/4
Let 14*g**5/3 - 48*g**4 - 4814*g**3/21 - 4052*g**2/21 + 488*g/7 - 16/3 = 0. Calculate g.
-2, 1/7, 14
Factor -g**5 + 15*g**4 - 50*g**3 + 70*g**2 - 45*g + 11.
-(g - 11)*(g - 1)**4
Factor -2*l**5/9 - 2*l**4/3 - 2*l**3/3 - 2*l**2/9.
-2*l**2*(l + 1)**3/9
Suppose 4*d**4 - 420*d**3 - 424*d**2 = 0. Calculate d.
-1, 0, 106
Find y, given that -2*y**5 - 30*y**4 - 106*y**3 + 86*y**2 + 276*y - 224 = 0.
-8, -7, -2, 1
Find b such that b**4/3 + 5*b**3/3 + 2*b**2 - 4*b/3 - 8/3 = 0.
-2, 1
Factor m**4/11 - 3*m**3/11 - 9*m**2/11 - 5*m/11.
m*(m - 5)*(m + 1)**2/11
What is a in -a**4 + 20*a**3 - 79*a**2 + 60*a = 0?
0, 1, 4, 15
Suppose -72*j**5/11 + 184*j**4/11 - 138*j**3/11 + 4*j**2/11 + 30*j/11 - 8/11 = 0. What is j?
-4/9, 1/2, 1
Factor -27*i**5/8 - 15*i**4/2 - 39*i**3/8 - 3*i**2/4.
-3*i**2*(i + 1)**2*(9*i + 2)/8
Factor -s**5/4 + s**4/2 + 9*s**3 + 43*s**2/2 + 77*s/4 + 6.
-(s - 8)*(s + 1)**3*(s + 3)/4
Factor -h**4/7 - 43*h**3/7 + 135*h**2/7 - 137*h/7 + 46/7.
-(h - 1)**3*(h + 46)/7
Factor 2*q**3/11 + 16*q**2/11 - 62*q/11 + 4.
2*(q - 2)*(q - 1)*(q + 11)/11
Solve 3*g**4/2 - 7*g**3/2 - 37*g**2/2 - 17*g/2 + 5 = 0.
-2, -1, 1/3, 5
Solve 9*a**4/5 + 93*a**3/5 - 177*a**2/5 + 39*a/5 + 36/5 = 0 for a.
-12, -1/3, 1
Solve -2*d**2/21 + 184*d/21 - 4232/21 = 0 for d.
46
Determine u so that -u**3 - 19*u**2 - 35*u - 17 = 0.
-17, -1
Suppose 4*m**5 + 88*m**4 + 240*m**3 + 232*m**2 + 76*m = 0. What is m?
-19, -1, 0
Factor -5*q**2 - 30740*q - 47247380.
-5*(q + 3074)**2
What is v in 6*v**2/13 + 748*v/13 + 496/13 = 0?
-124, -2/3
Factor -x**4/4 + 6*x**3 - 85*x**2/4 + 51*x/2 - 10.
-(x - 20)*(x - 2)*(x - 1)**2/4
Determine x, given that -3*x**2/4 + 57*x/4 - 117/2 = 0.
6, 13
Factor -2*l**3 - 242*l**2 - 3488*l - 13440.
-2*(l + 8)**2*(l + 105)
Determine r, given that -5*r**5 + 90*r**4 + 200*r**3 + 10*r**2 - 195*r - 100 = 0.
-1, 1, 20
Let 3*s**5/2 + 27*s**4/2 - 57*s**3/2 - 303*s**2/2 - 171*s - 