2/15 + 38*s/15 + 4/15 = 0.
-1, -2/25, 1/4
What is x in -x**2/8 - 27*x/8 + 729/4 = 0?
-54, 27
Let 38*c**5 + 186*c**4 + 511*c**3/2 + 123*c**2 + 25*c/2 - 3 = 0. Calculate c.
-3, -1, -1/2, 2/19
Factor u**3/7 + 87*u**2/7 + 171*u/7 + 85/7.
(u + 1)**2*(u + 85)/7
Factor 2*m**4/9 + 4*m**3 - 638*m**2/9.
2*m**2*(m - 11)*(m + 29)/9
Determine f so that -3*f**2 - 1701*f - 3390 = 0.
-565, -2
Factor -4*y**2/3 - 196*y + 592/3.
-4*(y - 1)*(y + 148)/3
Suppose -l**3/8 - l**2/4 + 25*l/8 + 25/4 = 0. What is l?
-5, -2, 5
Solve 12*r**4 - 16*r**3 + 4*r**2 = 0.
0, 1/3, 1
Solve 3*y**5/4 + 3*y**4 - 153*y**3/4 - 81*y**2/2 = 0.
-9, -1, 0, 6
Factor -4*w**2 - 880*w - 48400.
-4*(w + 110)**2
Let m**4/5 + 3*m**3/5 - m**2 - 3*m/5 + 4/5 = 0. What is m?
-4, -1, 1
Suppose -961*y**5 + 5890*y**4 + 213*y**3 - 5866*y**2 + 748*y - 24 = 0. What is y?
-1, 2/31, 1, 6
Factor -4*x**3/7 - 9*x**2/7 - 2*x/7.
-x*(x + 2)*(4*x + 1)/7
Factor -3*w**2 + 18108*w - 27324972.
-3*(w - 3018)**2
Suppose -b**2 + 11*b + 620 = 0. Calculate b.
-20, 31
Suppose -5*p**4 - 20*p**3 - 5*p**2 + 30*p = 0. Calculate p.
-3, -2, 0, 1
Find f such that 2*f**2 + 66*f + 180 = 0.
-30, -3
Let 2*c**4 + 108*c**3 - 842*c**2 + 732*c = 0. Calculate c.
-61, 0, 1, 6
Solve g**4 - 20*g**3 - 97*g**2 + 20*g + 96 = 0 for g.
-4, -1, 1, 24
Factor 3*n**5 + 3*n**4 - 9*n**3 - 3*n**2 + 6*n.
3*n*(n - 1)**2*(n + 1)*(n + 2)
Factor -20*s**4 + 12285*s**3 - 1888050*s**2 + 471245*s.
-5*s*(s - 307)**2*(4*s - 1)
Factor -3*c**2 + 231*c - 450.
-3*(c - 75)*(c - 2)
What is r in 3*r**4/4 - 81*r**3/2 + 2187*r**2/4 = 0?
0, 27
Suppose 2*i**5 - 18*i**4 + 14*i**3 + 18*i**2 - 16*i = 0. What is i?
-1, 0, 1, 8
Solve 2*q**2/9 + 32*q/9 + 56/9 = 0.
-14, -2
Let -4*z**4/5 + 76*z**3/5 + 364*z**2/5 + 116*z/5 - 552/5 = 0. What is z?
-3, -2, 1, 23
Determine r so that -r**4 - 2*r**3 + 2*r + 1 = 0.
-1, 1
Suppose 25*m**5/6 - 5*m**4/2 - 35*m**3/6 + 5*m**2/2 + 5*m/3 = 0. What is m?
-1, -2/5, 0, 1
Suppose -2*h**4 + 4*h**3 + 32*h**2 - 4*h - 30 = 0. Calculate h.
-3, -1, 1, 5
Factor -92*x**2/3 + 196*x/3 - 8.
-4*(x - 2)*(23*x - 3)/3
Let o**2 + 2073*o - 2074 = 0. Calculate o.
-2074, 1
Find n, given that -4*n**5 + 22*n**4 - 57*n**3/4 - 351*n**2/4 + 243*n/2 = 0.
-2, 0, 9/4, 3
Factor -2*t**4/9 + 88*t**3/9 - 280*t**2/3.
-2*t**2*(t - 30)*(t - 14)/9
Factor -3*v**2/2 - v/8.
-v*(12*v + 1)/8
Factor s**5/5 + 8*s**4/5 + 16*s**3/5 - 16*s**2/5 - 16*s - 64/5.
(s - 2)*(s + 2)**3*(s + 4)/5
Let -h**5/5 + 4*h**3/5 - 2*h**2/5 - 3*h/5 + 2/5 = 0. What is h?
-2, -1, 1
Factor -3*q**3 + 4068*q**2 + 24489*q + 36774.
-3*(q - 1362)*(q + 3)**2
Let w**2 - 58*w + 357 = 0. What is w?
7, 51
Factor 2*h**2/5 + 694*h/5 + 692/5.
2*(h + 1)*(h + 346)/5
Factor -2*o**2 - 544*o - 36992.
-2*(o + 136)**2
Solve -2*s**3/7 + 260*s**2/7 + 262*s/7 = 0 for s.
-1, 0, 131
Factor -b**2/4 + 7491*b/2 - 56115081/4.
-(b - 7491)**2/4
Factor -2*v**2/5 + 34*v/5 + 368.
-2*(v - 40)*(v + 23)/5
Factor -t**5/11 - 47*t**4/11 - 731*t**3/11 - 3757*t**2/11.
-t**2*(t + 13)*(t + 17)**2/11
Suppose i**4/6 + 19*i**3/6 - 21*i**2 - 24*i = 0. Calculate i.
-24, -1, 0, 6
Find i such that 4*i**2 + 872*i + 47524 = 0.
-109
Factor d**2/4 + 27*d/4.
d*(d + 27)/4
Find j such that -j**3/9 + j**2/3 + 38*j/3 + 208/9 = 0.
-8, -2, 13
Suppose -2*n**5/11 - 2*n**4/11 + 18*n**3/11 + 10*n**2/11 - 32*n/11 - 24/11 = 0. Calculate n.
-3, -1, 2
Factor 3*x**3 + 105*x**2 + 294*x + 192.
3*(x + 1)*(x + 2)*(x + 32)
Solve -s**4/3 + 23*s**3 - 385*s**2 - 1225*s/3 = 0.
-1, 0, 35
What is n in 2*n**2 - 154*n + 152 = 0?
1, 76
Factor 98*a**4/15 - 48188*a**3/15 + 5916794*a**2/15 + 564488*a/5 + 40344/5.
2*(a - 246)**2*(7*a + 1)**2/15
Factor -2*b**2/13 + 4448*b/13 - 2473088/13.
-2*(b - 1112)**2/13
Suppose 243*z**2/5 + 48*z - 3/5 = 0. Calculate z.
-1, 1/81
Suppose y**3/4 + 14619*y**2/4 + 53436099*y/4 + 53421481/4 = 0. What is y?
-7309, -1
Solve o**2/5 + 399*o/5 + 316 = 0 for o.
-395, -4
Suppose 20*c**2/9 - 38*c/9 - 4/9 = 0. Calculate c.
-1/10, 2
Let 2*c**5/7 - 12*c**4/7 + 16*c**3/7 + 12*c**2/7 - 18*c/7 = 0. What is c?
-1, 0, 1, 3
Let 5*m**4 - 50*m**3 + 95*m**2 + 150*m = 0. What is m?
-1, 0, 5, 6
Factor -5*i**5/3 + 10*i**3/3 - 5*i/3.
-5*i*(i - 1)**2*(i + 1)**2/3
Factor 2*r**2/7 + 34*r/7 - 36/7.
2*(r - 1)*(r + 18)/7
Factor 3*v**5/2 + 3*v**4/2 - 9*v**3 + 3*v**2 + 15*v/2 - 9/2.
3*(v - 1)**3*(v + 1)*(v + 3)/2
Factor -v**4/5 - 6*v**3/5 - 9*v**2/5 - 4*v/5.
-v*(v + 1)**2*(v + 4)/5
Determine z, given that -z**2 + 204*z = 0.
0, 204
Determine h so that 2*h**4 - 48*h**3 + 216*h**2 + 64*h - 1152 = 0.
-2, 4, 18
Suppose 2*n**2/3 - 5480*n/3 + 3753800/3 = 0. Calculate n.
1370
Factor 2*i**4/7 - 2*i**3/7 - 4*i**2 + 48*i/7.
2*i*(i - 3)*(i - 2)*(i + 4)/7
Factor 328050*a**2/7 - 3240*a/7 + 8/7.
2*(405*a - 2)**2/7
Factor 33*q**3/7 + 39*q**2/7 + 6*q/7.
3*q*(q + 1)*(11*q + 2)/7
Factor -14*v**3 + 26*v**2 + 46*v + 6.
-2*(v - 3)*(v + 1)*(7*v + 1)
Factor v**3/4 - 3*v**2/2 - 63*v/4 - 27.
(v - 12)*(v + 3)**2/4
What is n in 3*n**5 - 18*n**4 - 108*n**3 - 120*n**2 = 0?
-2, 0, 10
Factor 49*t**4/4 + 189*t**3/4 - 61*t**2/4 - 141*t/4 - 9.
(t - 1)*(t + 4)*(7*t + 3)**2/4
Factor d**2/5 - 62*d/5 - 144.
(d - 72)*(d + 10)/5
What is z in 2*z**3/13 - 16*z**2/13 = 0?
0, 8
Let -20*x**4 - 468*x**3 + 796*x**2 - 108*x - 200 = 0. What is x?
-25, -2/5, 1
Solve 5*h**5/2 - 40*h**4 + 225*h**3/2 + 405*h**2 = 0.
-2, 0, 9
Determine n, given that 8*n**2 - 10*n - 12 = 0.
-3/4, 2
Factor q**2 + 29*q - 30.
(q - 1)*(q + 30)
Let 5*x**3/2 - 95*x**2/2 - 205*x/2 - 105/2 = 0. Calculate x.
-1, 21
Find x, given that -315*x**4 - 596*x**3 + 84*x**2 + 32*x = 0.
-2, -8/45, 0, 2/7
Solve -m**4/5 + 2*m**3 + 49*m**2/5 - 26*m = 0.
-5, 0, 2, 13
Factor -v**4/5 - 174*v**3/5.
-v**3*(v + 174)/5
Factor -39*y**2 + 17427*y + 2682.
-3*(y - 447)*(13*y + 2)
Factor -5*g**4 + 290*g**3 + 15*g**2 - 860*g - 580.
-5*(g - 58)*(g - 2)*(g + 1)**2
Solve -5*f**4 + 35*f**3 - 30*f**2 = 0 for f.
0, 1, 6
Factor -676*w**2 - 15808*w - 92416.
-4*(13*w + 152)**2
Factor 2*i**4 + 38*i**3/3 + 22*i**2 + 6*i.
2*i*(i + 3)**2*(3*i + 1)/3
Factor 3*k**2 - 1131*k - 2274.
3*(k - 379)*(k + 2)
What is h in 7*h**3 - 401*h**2/3 + 752*h/3 - 68/3 = 0?
2/21, 2, 17
Factor -2*v**3 - 1378*v**2 - 1376*v.
-2*v*(v + 1)*(v + 688)
Solve -18*l**5/11 - 158*l**4/11 - 414*l**3/11 - 386*l**2/11 - 72*l/11 + 40/11 = 0 for l.
-5, -2, -1, 2/9
Solve -2*z**4 - 46*z**3 - 32*z**2 + 264*z = 0 for z.
-22, -3, 0, 2
Find u such that u**3/11 + 14*u**2/11 - 31*u/11 + 16/11 = 0.
-16, 1
Factor -8*s**3 + 180*s**2 - 256*s + 84.
-4*(s - 21)*(s - 1)*(2*s - 1)
Factor 4*n**4 - n**3 - 16*n**2 + 4*n.
n*(n - 2)*(n + 2)*(4*n - 1)
Factor 2*o**3 - 26*o**2 - 32*o + 416.
2*(o - 13)*(o - 4)*(o + 4)
Solve -3*a**4 + 3*a**3 + 54*a**2 - 156*a + 120 = 0.
-5, 2
Factor 4*i**2 + 96*i - 208.
4*(i - 2)*(i + 26)
Suppose -5*m**5/3 - 299*m**4 - 39958*m**3/3 + 8220*m**2 + 5400*m = 0. Calculate m.
-90, -2/5, 0, 1
Factor 3*z**3/7 + 15*z**2/7 - 24*z/7 - 36/7.
3*(z - 2)*(z + 1)*(z + 6)/7
Factor -3*h**2 + 24*h + 27.
-3*(h - 9)*(h + 1)
Factor 2*j**3/9 + 168*j**2 + 42336*j + 3556224.
2*(j + 252)**3/9
What is z in -105*z**5 - 80*z**4 + 160*z**3 + 110*z**2 - 55*z - 30 = 0?
-1, -3/7, 2/3, 1
Solve -3*a**2 - 18*a + 48 = 0 for a.
-8, 2
What is m in 5*m**4 + 420*m**3 + 415*m**2 = 0?
-83, -1, 0
Let -3*r**5 + 16*r**4 - 26*r**2 + 3*r + 10 = 0. What is r?
-1, -2/3, 1, 5
Solve -t**4/3 - 152*t**3/3 - 7942*t**2/3 - 54872*t - 390963 = 0 for t.
-57, -19
Find f, given that -3*f**2 - 36*f = 0.
-12, 0
Determine u so that 2*u**4/7 + 6*u**3/7 - 40*u**2/7 - 96*u/7 + 128/7 = 0.
-4, 1, 4
Factor 4*x**2 + 224*x + 432.
4*(x + 2)*(x + 54)
Factor k**2/6 - 104*k/3 + 136.
(k - 204)*(k - 4)/6
Factor 4*o**3 + 384*o**2 + 752*o.
4*o*(o + 2)*(o + 94)
Suppose 2*k**4/11 + 136*k**3/11 + 504*k**2/11 - 544*k/11 - 2048/11 = 0. Calculate k.
-64, -4, -2, 2
Find w, given that w**5/4 + 11*w**4/4 - 27*w**3/4 - 11*w**2/4 + 13*w/2 = 0.
-13, -1, 0, 1, 2
Solve i**3/8 - i**2/8 - 9*i/8 + 9/8 = 0 for i.
-3, 1, 3
Find o such that o**2/4 + 3*o/4 + 1/2 = 0.
-2, -1
Factor b**3/4 - 401*b**2/2 + 39999*b + 80802.
(b - 402)**2*(b + 2)/4
Determine o so that -o**3/5 + 14*o**2/5 - 33*o/5 = 0.
0, 3, 11
Factor -4*r**4 - 155*r**3 - 1557*r**2 - 1045*r + 361.
-(r + 1)*(r + 19)**2*(4*r - 1)
What is y in 5*y**3 - 810*y**2 + 34365*y - 124820 = 0?
4, 79
Factor -i**3/6 + 4*i**2 + 26*i/3.
-i*(i - 26)*(i + 2)/6
What is v in 2*v**3/3 - 404*v**2/3 + 3104*v/3 = 0?
