y**2/5 + 24*y/5 = 0.
-8, 0
Factor 2*f**3 + 152*f**2 - 634*f + 480.
2*(f - 3)*(f - 1)*(f + 80)
Factor 2*k**4/3 - 5*k**3/6 - k**2/2 + 5*k/6 - 1/6.
(k - 1)**2*(k + 1)*(4*k - 1)/6
Factor -2*a**4/11 - 28*a**3/11 + 30*a**2/11.
-2*a**2*(a - 1)*(a + 15)/11
Factor 2*j**3/3 + 42*j**2 - 86*j + 130/3.
2*(j - 1)**2*(j + 65)/3
Find s, given that -6*s**2 - 5517*s - 2757 = 0.
-919, -1/2
Factor 2*a**3/5 + 6*a**2/5 - 32*a/5 + 24/5.
2*(a - 2)*(a - 1)*(a + 6)/5
Factor p**5/7 - p**4/7 - 3*p**3/7 + 5*p**2/7 - 2*p/7.
p*(p - 1)**3*(p + 2)/7
Let -u**2/6 - u/6 + 1 = 0. Calculate u.
-3, 2
Suppose -5*c**2 - 38620*c - 74575220 = 0. Calculate c.
-3862
Factor -2*g**3/9 + 52*g**2/9 - 98*g/9 + 16/3.
-2*(g - 24)*(g - 1)**2/9
Suppose -2*c**5 - 20*c**4 - 56*c**3 + 16*c**2 + 256*c + 256 = 0. Calculate c.
-4, -2, 2
Factor -5*b**2/3 + 400*b/3 - 8000/3.
-5*(b - 40)**2/3
Factor -4*a**3 + 836*a**2 + 848*a - 1680.
-4*(a - 210)*(a - 1)*(a + 2)
Factor r**4/7 - 22*r**3/7 + 156*r**2/7 - 54*r + 243/7.
(r - 9)**2*(r - 3)*(r - 1)/7
Determine z, given that 12*z**3 + 304*z**2 + 1856*z + 3328 = 0.
-52/3, -4
Factor -4*s**2 + 848*s + 5232.
-4*(s - 218)*(s + 6)
Solve 5*i**3/3 - 3200*i**2/3 - 6415*i/3 - 1070 = 0 for i.
-1, 642
Factor -c**4/5 - 32*c**3/5 + 329*c**2/5 + 72*c.
-c*(c - 9)*(c + 1)*(c + 40)/5
Determine g so that g**5/5 + 31*g**4/5 + 16*g**3 - 112*g**2/5 = 0.
-28, -4, 0, 1
Suppose 11*h**5/2 + 1154*h**4 + 3222*h**3 + 2797*h**2 + 1033*h/2 - 207 = 0. What is h?
-207, -1, 2/11
Let -x**5/5 + 6*x**4/5 - 12*x**3/5 + 8*x**2/5 = 0. What is x?
0, 2
Factor 5*z**3 + 95*z**2 + 450*z + 360.
5*(z + 1)*(z + 6)*(z + 12)
Let c**2/6 - 232*c/3 + 26912/3 = 0. Calculate c.
232
Let -4*m**2 + 16*m + 20 = 0. What is m?
-1, 5
Solve a**3 - 17*a**2 - 106*a - 88 = 0 for a.
-4, -1, 22
Factor 5*o**3 - 15*o - 10.
5*(o - 2)*(o + 1)**2
Find y such that 12*y**3 - 262*y**2 + 436*y + 80 = 0.
-1/6, 2, 20
Determine d, given that 12*d**4/7 - 172*d**3/7 + 696*d**2/7 - 464*d/7 - 96 = 0.
-2/3, 2, 6, 7
Factor 5*p**3 + 90*p**2 - 195*p - 6760.
5*(p - 8)*(p + 13)**2
Let -3*h**5 + 1341*h**4 + 1344*h**3 = 0. What is h?
-1, 0, 448
Solve h**4/8 + 3*h**3 - 107*h**2/8 + 69*h/4 - 7 = 0 for h.
-28, 1, 2
Find j, given that -4*j**4/5 + 20*j**3 + 444*j**2/5 + 572*j/5 + 232/5 = 0.
-2, -1, 29
Suppose s**4/2 + 119*s**3/2 + 3351*s**2/2 - 11651*s/2 - 7442 = 0. Calculate s.
-61, -1, 4
Factor -y**3 + 2*y**2 + 15*y - 36.
-(y - 3)**2*(y + 4)
Factor 3*i**4 - 117*i**3 + 804*i**2 + 6732*i + 5808.
3*(i - 22)**2*(i + 1)*(i + 4)
Factor -2*y**3 - 16*y**2 + 2*y + 16.
-2*(y - 1)*(y + 1)*(y + 8)
Factor -170*k**2 - 168*k + 2.
-2*(k + 1)*(85*k - 1)
Factor 5*i**3 - 25*i**2 - 230*i - 200.
5*(i - 10)*(i + 1)*(i + 4)
Factor 5*n**2 + 625*n - 630.
5*(n - 1)*(n + 126)
Let -43*m**3 + 213*m**2 - 248*m - 12 = 0. Calculate m.
-2/43, 2, 3
Determine l, given that -4*l**2 - 80*l + 176 = 0.
-22, 2
Factor 315*l**3 - 2850*l**2 + 6020*l + 1960.
5*(3*l - 14)**2*(7*l + 2)
Factor 2*h**4 + 20*h**3 + 42*h**2.
2*h**2*(h + 3)*(h + 7)
What is y in 2*y**5/7 - 9*y**4/7 - 2*y**3/7 + 23*y**2/7 + 6*y/7 - 8/7 = 0?
-1, 1/2, 2, 4
Factor -2*n**2 - 146*n.
-2*n*(n + 73)
Factor -10*k**3 - 5536*k**2 - 765074*k + 306916.
-2*(k + 277)**2*(5*k - 2)
Factor 1600*s**2 + 64160*s + 643204.
4*(20*s + 401)**2
Determine n, given that -3*n**4/4 - 417*n**3/4 - 9729*n**2/2 - 77763*n - 73002 = 0.
-46, -1
Factor -4*y**2/3 + 896*y/3.
-4*y*(y - 224)/3
Find y such that 5*y**5 + 115*y**4 + 300*y**3 - 20*y**2 - 400*y = 0.
-20, -2, 0, 1
Factor 4*a**2 - 76*a.
4*a*(a - 19)
Factor 5*z**2 + 140*z - 825.
5*(z - 5)*(z + 33)
Factor 2*s**4/15 - 8*s**3/15 - 2*s**2/5 + 12*s/5.
2*s*(s - 3)**2*(s + 2)/15
Solve -2*p**3/5 - 28*p**2/5 - 24*p - 144/5 = 0.
-6, -2
Factor -2*w**3/5 + 5042*w**2/5 - 636048*w + 635040.
-2*(w - 1260)**2*(w - 1)/5
Factor 5*w**3 - 10*w**2 + 5*w.
5*w*(w - 1)**2
Factor -2*k**3/11 - 26*k**2/11 - 20*k/11 + 48/11.
-2*(k - 1)*(k + 2)*(k + 12)/11
Factor -5*d**3 + 205*d**2 + 5*d - 205.
-5*(d - 41)*(d - 1)*(d + 1)
Find z, given that -2*z**4/13 + 146*z**3/13 - 144*z**2/13 = 0.
0, 1, 72
Solve 2*x**5/11 + 14*x**4/11 - 30*x**3/11 - 254*x**2/11 + 28*x/11 + 240/11 = 0 for x.
-6, -5, -1, 1, 4
Determine p, given that 2*p**4/17 - 12*p**3/17 + 2*p**2/17 + 48*p/17 - 40/17 = 0.
-2, 1, 2, 5
Find m such that -2*m**5/9 + 56*m**4/9 - 442*m**3/9 + 676*m**2/9 = 0.
0, 2, 13
Factor -4*c**5/5 - 24*c**4/5 - 52*c**3/5 - 48*c**2/5 - 16*c/5.
-4*c*(c + 1)**2*(c + 2)**2/5
Solve 4*w**5/3 - 4*w**4/3 - 100*w**3 - 572*w**2/3 - 280*w/3 = 0.
-7, -1, 0, 10
Factor x**4 - 29*x**3 - 93*x**2 - 95*x - 32.
(x - 32)*(x + 1)**3
Let -b**3 + 11*b**2 - 18*b = 0. What is b?
0, 2, 9
Determine q, given that -q**2/5 + 637*q/5 + 1278/5 = 0.
-2, 639
Find f, given that f**5 + 5*f**4 + 2*f**3 - 8*f**2 = 0.
-4, -2, 0, 1
Factor 2*q**2/15 + 38*q/3 + 188/15.
2*(q + 1)*(q + 94)/15
Let -c**4/3 + 4*c**3 + 59*c**2/3 + 26*c + 32/3 = 0. Calculate c.
-2, -1, 16
Suppose 2*z**5/15 - 28*z**4/15 - 32*z**3/15 + 28*z**2/15 + 2*z = 0. What is z?
-1, 0, 1, 15
Factor r**5/2 + 7*r**4/2 + 17*r**3/2 + 17*r**2/2 + 3*r.
r*(r + 1)**2*(r + 2)*(r + 3)/2
Determine d so that 4*d**5/7 - 16*d**4/7 + 12*d**3/7 + 16*d**2/7 - 16*d/7 = 0.
-1, 0, 1, 2
Find w, given that 2*w**5 - 6*w**4 - 124*w**3 + 708*w**2 - 1030*w + 450 = 0.
-9, 1, 5
Suppose 6*w**4/5 + 58*w**3/5 + 26*w**2/5 - 218*w - 520 = 0. What is w?
-5, -4, 13/3
Solve -3*h**2 + 243*h + 756 = 0 for h.
-3, 84
Let -m**2/4 - 119*m/4 - 59/2 = 0. What is m?
-118, -1
Factor -169*t**4/6 - 2717*t**3/3 - 37909*t**2/6 + 15466*t - 8214.
-(t - 1)**2*(13*t + 222)**2/6
Solve -2*a**3 - 1014*a**2 - 129030*a - 128018 = 0.
-253, -1
Factor -2*r**2/17 - 1300*r/17 - 211250/17.
-2*(r + 325)**2/17
Let -3*d**3/8 + 93*d**2/8 - 129*d/4 + 21 = 0. What is d?
1, 2, 28
Factor y**3/4 + 2*y**2 + 5*y/4 - 25/2.
(y - 2)*(y + 5)**2/4
Let -2*u**4/13 + 12*u**3/13 + 6*u**2/13 - 32*u/13 - 24/13 = 0. Calculate u.
-1, 2, 6
What is q in -2*q**2 - 5116*q - 3271682 = 0?
-1279
Factor 2*l**2 - 260*l.
2*l*(l - 130)
Factor -w**5/8 + 11*w**4/8 - 43*w**3/8 + 73*w**2/8 - 7*w + 2.
-(w - 4)**2*(w - 1)**3/8
Find s such that -2*s**5/21 - 6*s**4/7 + 74*s**3/21 + 6*s**2/7 - 24*s/7 = 0.
-12, -1, 0, 1, 3
Factor -5*q**3 + 580*q**2 + 1175*q + 590.
-5*(q - 118)*(q + 1)**2
Determine u so that 63*u**3 - 129*u**2 + 6*u = 0.
0, 1/21, 2
Factor 2*w**5/7 - 22*w**4/7 + 18*w**3/7 + 206*w**2/7 + 260*w/7 + 96/7.
2*(w - 8)*(w - 6)*(w + 1)**3/7
Let 2*f**3/5 - 28*f**2 + 3264*f/5 - 25344/5 = 0. What is f?
22, 24
Let 10*g**5/3 + 134*g**4/3 + 526*g**3/3 + 158*g**2 - 48*g - 72 = 0. Calculate g.
-6, -1, 3/5
Suppose j**4 + 94*j**3 + 2301*j**2 + 4324*j + 2116 = 0. What is j?
-46, -1
Factor 25*k**3/3 + 110*k**2/3 + 41*k/3 + 4/3.
(k + 4)*(5*k + 1)**2/3
Let -69*v**3 + 6*v**2 + 69*v - 6 = 0. Calculate v.
-1, 2/23, 1
Factor -a**2 - 28*a - 27.
-(a + 1)*(a + 27)
Factor 4*m**2/5 - 632*m/5 + 24964/5.
4*(m - 79)**2/5
Factor a**3/2 + 7*a**2/2 - 5*a - 8.
(a - 2)*(a + 1)*(a + 8)/2
Solve h**4/3 - 23*h**3/9 + 56*h**2/9 - 52*h/9 + 16/9 = 0.
2/3, 1, 2, 4
Factor -b**2/3 + 14*b/3 + 5.
-(b - 15)*(b + 1)/3
Let 4*t**5/5 + 10*t**4 + 66*t**3/5 - 2*t**2/5 - 22*t/5 = 0. Calculate t.
-11, -1, 0, 1/2
Factor -2*c**4/23 + 34*c**3/23 - 210*c**2/23 + 550*c/23 - 500/23.
-2*(c - 5)**3*(c - 2)/23
Solve 2*u**3/5 + 96*u**2/5 - 106*u = 0.
-53, 0, 5
Suppose -7*i**4 + 48*i**3 - 91*i**2 + 42*i + 8 = 0. What is i?
-1/7, 1, 2, 4
Let -9*a**2/8 - a/2 = 0. Calculate a.
-4/9, 0
Let -2*f**2 + 458*f = 0. Calculate f.
0, 229
Factor 3*j**2 + 9*j + 6.
3*(j + 1)*(j + 2)
Factor -27*v**5 + 342*v**4 - 1515*v**3 + 2628*v**2 - 1296*v + 192.
-3*(v - 4)**3*(3*v - 1)**2
Factor -2*x**2/7 + 480*x/7 - 28800/7.
-2*(x - 120)**2/7
What is h in -5*h**2 + 245*h + 510 = 0?
-2, 51
Solve 4*a**5/5 + 28*a**4/5 + 44*a**3/5 - 28*a**2/5 - 48*a/5 = 0 for a.
-4, -3, -1, 0, 1
Suppose 2*o**5/9 - 16*o**4/9 - 22*o**3/9 + 356*o**2/9 - 808*o/9 + 560/9 = 0. Calculate o.
-5, 2, 7
Determine k, given that -5*k**4/3 - 3460*k**3/3 - 602030*k**2/3 - 397900*k - 198375 = 0.
-345, -1
Find s, given that 2*s**5/5 + 44*s**4/5 + 344*s**3/5 + 1168*s**2/5 + 1792*s/5 + 1024/5 = 0.
-8, -2
Find r such that -r**5/2 + 12*r**4 - 137*r**3/2 - 81*r**2 + 432*r + 432 = 0.
-2, -1, 3, 12
Factor -4*p**3 - 20*p**2 - 32*p - 16.
-4*(p + 1)*(p + 2)**2
Factor 5*w**2 + 11020*w + 6072020.
5*(w + 1102)**2
Factor -3*f**5 + 6*f**3 - 3*f.
-3*f*(f - 1)**2*(f + 