1083*s/8 - 105/4.
3*(s + 5)*(s + 7)*(11*s - 2)/8
Solve -r**2/5 + 58*r/5 - 841/5 = 0.
29
Factor 2*i**3 + 392*i**2 + 7898*i + 42108.
2*(i + 11)**2*(i + 174)
Solve 2*r**3 - 58*r**2/3 + 176*r/3 - 56 = 0 for r.
2, 3, 14/3
Factor 2*h**3 + 18*h**2 - 2*h - 18.
2*(h - 1)*(h + 1)*(h + 9)
Factor -3*z**3 - 222*z**2 - 435*z - 216.
-3*(z + 1)**2*(z + 72)
Factor -2*u**2/9 + 82*u/9 - 80/9.
-2*(u - 40)*(u - 1)/9
Factor 343*d**5 + 3528*d**4 - 11179*d**3 + 11612*d**2 - 5136*d + 832.
(d - 1)*(d + 13)*(7*d - 4)**3
Let -18*d**5 - 24*d**4 + 64*d**3 + 96*d**2 + 32*d = 0. Calculate d.
-2, -2/3, 0, 2
Let -5*m**3 - 530*m**2 + 1075*m - 540 = 0. Calculate m.
-108, 1
Determine c, given that 10*c**3/11 - 1096*c**2/11 + 2710*c + 1100 = 0.
-2/5, 55
Factor c**3/2 - c**2/2 - 65*c/2 - 63/2.
(c - 9)*(c + 1)*(c + 7)/2
Suppose -4*f**2/3 + 80*f/3 - 68 = 0. Calculate f.
3, 17
Factor -12*x**2 - 159*x - 444.
-3*(x + 4)*(4*x + 37)
Suppose -j**2/3 + 166*j + 1000/3 = 0. Calculate j.
-2, 500
Factor -c**3/4 + 37*c**2/4 + 199*c - 208.
-(c - 52)*(c - 1)*(c + 16)/4
Factor -8*d**3 - 4752*d**2 - 4746*d - 1186.
-2*(d + 593)*(2*d + 1)**2
What is w in -4*w**4/9 + 8*w**3/3 - 44*w**2/9 + 8*w/3 = 0?
0, 1, 2, 3
Factor 5*d**3 + 75*d**2 + 135*d - 1215.
5*(d - 3)*(d + 9)**2
What is g in -g**4/6 + 5*g**3/6 + 4*g**2/3 - 8*g = 0?
-3, 0, 4
Factor 2*v**3 - 28*v**2 + 26*v.
2*v*(v - 13)*(v - 1)
Factor 2*s**4/3 - 64*s**3/3 - 256*s**2/3 + 4096*s + 24576.
2*(s - 24)**2*(s + 8)**2/3
What is y in -4*y**3 - 136*y**2 - 492*y - 360 = 0?
-30, -3, -1
Suppose -4*s**4 - 56*s**3 - 180*s**2 - 208*s - 80 = 0. Calculate s.
-10, -2, -1
Factor -3618050*j**2 - 10760*j - 8.
-2*(1345*j + 2)**2
Find h such that 2*h**2/11 - 80*h/11 - 82/11 = 0.
-1, 41
Determine s so that -5*s**4 - 70*s**3 + 75*s**2 = 0.
-15, 0, 1
Factor -2*w**3/7 - 12*w**2/7 + 2*w.
-2*w*(w - 1)*(w + 7)/7
Find j such that -2*j**4/15 + 8*j**3/3 - 34*j**2/5 - 8*j/15 + 136/15 = 0.
-1, 2, 17
Factor -2*i**3/21 - 50*i**2/21 + 8*i/3 + 104/21.
-2*(i - 2)*(i + 1)*(i + 26)/21
Factor s**5/2 - 7*s**4 + 25*s**3/2 - 6*s**2.
s**2*(s - 12)*(s - 1)**2/2
Determine x so that 5*x**5 - 323*x**4/2 + 1323*x**3 - 445*x**2/2 - 1328*x + 384 = 0.
-1, 3/10, 1, 16
Factor -3*o**4 - 6*o**3 + 3*o**2 + 6*o.
-3*o*(o - 1)*(o + 1)*(o + 2)
Factor 33*s**2 + 17*s - 16.
(s + 1)*(33*s - 16)
Factor 4*a**2 - 1468*a.
4*a*(a - 367)
Solve 2*m**3 + 16*m**2 + 34*m + 20 = 0.
-5, -2, -1
Factor -d**3/5 - 462*d**2/5 - 549*d - 4104/5.
-(d + 3)**2*(d + 456)/5
Factor -5*f**4 - 15*f**3 + 20*f**2 + 60*f.
-5*f*(f - 2)*(f + 2)*(f + 3)
Find h, given that 2*h**2/15 - 92*h/5 + 3174/5 = 0.
69
Find a, given that -4*a**5/11 + 2*a**4 + 12*a**3/11 - 8*a**2 - 104*a/11 - 30/11 = 0.
-1, -1/2, 3, 5
Find u such that -u**3/2 + 93*u**2/2 - 900*u - 8750 = 0.
-7, 50
Determine z, given that -z**3/6 - 25*z**2/2 + 313*z/6 - 79/2 = 0.
-79, 1, 3
Solve -3*m**5/2 - 51*m**4/2 + 24*m**3 + 1200*m**2 - 2304*m - 3456 = 0 for m.
-12, -1, 4
Factor g**3 + 42*g**2 + 396*g - 968.
(g - 2)*(g + 22)**2
Let -3*q**5 - 663*q**4 - 3906*q**3 - 7764*q**2 - 5160*q = 0. Calculate q.
-215, -2, 0
Factor 8*z**5 + 97*z**4 + 292*z**3 + 35*z**2.
z**2*(z + 5)*(z + 7)*(8*z + 1)
Factor 3*f**3/4 + 3*f**2 + 3*f.
3*f*(f + 2)**2/4
Factor 32*h**3 + 5872*h**2 - 2942*h + 368.
2*(h + 184)*(4*h - 1)**2
Factor -34*y**3 - 98*y**2 + 148*y - 16.
-2*(y - 1)*(y + 4)*(17*y - 2)
Find u, given that 4*u**5 - 16*u**4 - 28*u**3 + 136*u**2 - 96*u = 0.
-3, 0, 1, 2, 4
Solve -2*c**4/13 - 24*c**3/13 - 56*c**2/13 + 96*c/13 + 256/13 = 0.
-8, -4, -2, 2
Find p such that p**4/9 + p**3/3 - 8*p**2/3 + 28*p/9 = 0.
-7, 0, 2
Suppose 3*r**3 + 18*r**2 = 0. Calculate r.
-6, 0
Determine b, given that b**3 - 10*b**2 - 39*b = 0.
-3, 0, 13
Let 2*i**3/7 + 78*i**2/7 + 114*i + 722/7 = 0. Calculate i.
-19, -1
Factor -5*a**2 - 630*a + 6075.
-5*(a - 9)*(a + 135)
Solve 3*w**5 - 21*w**4 + 12*w**3 + 36*w**2 = 0.
-1, 0, 2, 6
Let b**5 - 9*b**4 - 37*b**3 + 9*b**2 + 36*b = 0. What is b?
-3, -1, 0, 1, 12
Factor -t**3/3 + 331*t**2 + 994*t/3.
-t*(t - 994)*(t + 1)/3
Factor -q**4/3 - 13*q**3/3 - 11*q**2/3 + 13*q/3 + 4.
-(q - 1)*(q + 1)**2*(q + 12)/3
What is r in -r**3 + 51*r**2 + 52*r = 0?
-1, 0, 52
Suppose -5*q**2/2 - 25*q - 60 = 0. What is q?
-6, -4
Solve -p**2/2 - 29*p/2 + 15 = 0.
-30, 1
Determine g, given that 5*g**2 - 380*g + 375 = 0.
1, 75
Suppose 5*y**5 + 15*y**4 - 25*y**3 - 15*y**2 + 20*y = 0. What is y?
-4, -1, 0, 1
Factor w**4 + 10*w**3 - 23*w**2 + 12*w.
w*(w - 1)**2*(w + 12)
Suppose -2*h**5 + 30*h**4 + 36*h**3 - 64*h**2 = 0. What is h?
-2, 0, 1, 16
Let -4*d**4 + 4*d**2 = 0. Calculate d.
-1, 0, 1
Suppose 8*r**5 - 948*r**4 - 4372*r**3 - 6852*r**2 - 4420*r - 984 = 0. What is r?
-2, -1, -1/2, 123
Factor -2*j**4 + 38*j**3 + 252*j**2 - 288*j.
-2*j*(j - 24)*(j - 1)*(j + 6)
Factor 7*t**4/3 - 5*t**3 - 6*t**2 + 28*t/3 + 8.
(t - 2)**2*(t + 1)*(7*t + 6)/3
Factor -3*g**2/2 - 45*g + 93/2.
-3*(g - 1)*(g + 31)/2
Factor -8*v**3 + 36*v**2 - 36*v.
-4*v*(v - 3)*(2*v - 3)
Factor -3*t**5/7 + 48*t**4/7 - 87*t**3/7 + 6*t**2.
-3*t**2*(t - 14)*(t - 1)**2/7
Factor -i**3/4 + 9*i**2/4 + 27*i/2 - 54.
-(i - 12)*(i - 3)*(i + 6)/4
Solve 2*f**2/9 - 110*f/9 + 12 = 0 for f.
1, 54
Factor 3*k**4/4 + 6*k**3 + 21*k**2/4.
3*k**2*(k + 1)*(k + 7)/4
Let -5*a**5/4 + 25*a**4/4 + 45*a**3/4 - 65*a**2/4 - 35*a - 15 = 0. What is a?
-1, 2, 6
Factor -12*k**2 + k.
-k*(12*k - 1)
Factor 3*g**5 + 9*g**4 + 6*g**3.
3*g**3*(g + 1)*(g + 2)
Solve 4*q**3 + 100*q**2 + 544*q = 0.
-17, -8, 0
Find b, given that -b**4 + 144*b**3 + 146*b**2 - 144*b - 145 = 0.
-1, 1, 145
Solve u**3/6 - 95*u**2/6 + 1007*u/6 - 913/6 = 0.
1, 11, 83
Suppose 2*w**5 + 32*w**4 + 26*w**3 - 60*w**2 = 0. Calculate w.
-15, -2, 0, 1
Factor -2*x**2 - 12*x - 18.
-2*(x + 3)**2
What is h in -245*h**4 + 7525*h**3 + 10005*h**2 + 2395*h + 160 = 0?
-1, -1/7, 32
What is r in -2*r**3 + 1860*r**2 - 576600*r + 59582000 = 0?
310
Find p, given that 4*p**2/3 + 456*p = 0.
-342, 0
Factor -3*c**2/2 + 153*c - 303/2.
-3*(c - 101)*(c - 1)/2
Factor -4*j**3 + 724*j**2 + 4*j - 724.
-4*(j - 181)*(j - 1)*(j + 1)
Factor 7*u**3 + 39*u**2 + 38*u - 24.
(u + 2)*(u + 4)*(7*u - 3)
Suppose -2811*q**2 - 3*q = 0. Calculate q.
-1/937, 0
Factor -a**5 + 21*a**4 + 153*a**3 + 239*a**2 + 108*a.
-a*(a - 27)*(a + 1)**2*(a + 4)
Let 36*r**2 - 3248*r + 720 = 0. What is r?
2/9, 90
Factor 2*w**3/17 - 324*w**2/17 - 326*w/17.
2*w*(w - 163)*(w + 1)/17
Factor 2*r**4/7 + 216*r**3/7 + 1242*r**2/7 + 1836*r/7.
2*r*(r + 3)**2*(r + 102)/7
Suppose -5*u**4 - 30*u**3 - 5*u**2 + 120*u + 100 = 0. Calculate u.
-5, -2, -1, 2
Factor -4*o**3 - 100*o**2 + 6868*o - 68204.
-4*(o - 17)**2*(o + 59)
Factor -r**3/4 - 289*r**2/2 + r + 578.
-(r - 2)*(r + 2)*(r + 578)/4
Let u**4/2 - 47*u**3/2 - 3*u**2/2 + 139*u/2 + 47 = 0. Calculate u.
-1, 2, 47
Factor 3*i**2 + 27*i + 54.
3*(i + 3)*(i + 6)
Let -h**4 + 424*h**3 - 1266*h**2 + 1264*h - 421 = 0. Calculate h.
1, 421
Solve o**5/8 - o**4 - 13*o**3/4 + 43*o**2/2 + 385*o/8 + 49/2 = 0.
-4, -1, 7
Suppose 4*r**3 + 13928*r**2 + 27844*r + 13920 = 0. What is r?
-3480, -1
Let -13*x**5/2 + 12*x**4 + 17*x**3/2 - 12*x**2 - 2*x = 0. What is x?
-1, -2/13, 0, 1, 2
Factor -z**3/6 - 5*z**2/6 + 4*z/3 + 2.
-(z - 2)*(z + 1)*(z + 6)/6
Suppose 2*l**4/13 - 42*l**3/13 - 94*l**2/13 + 42*l/13 + 92/13 = 0. Calculate l.
-2, -1, 1, 23
Factor -2*o**3/9 - 26*o**2/9 + 8*o/9 + 104/9.
-2*(o - 2)*(o + 2)*(o + 13)/9
Find c, given that -59*c**2/4 - 113*c/4 + 5/2 = 0.
-2, 5/59
Factor -3*d**2 + 8*d + 80.
-(d + 4)*(3*d - 20)
Solve 2*l**5/5 - 6*l**4/5 + 4*l**3/5 = 0.
0, 1, 2
Determine c, given that -18*c**4/11 + 8*c**3 + 244*c**2/11 + 152*c/11 + 14/11 = 0.
-1, -1/9, 7
Solve t**4 - 8*t**3 + 6*t**2 + 8*t - 7 = 0.
-1, 1, 7
Solve -2*x**3/5 + 82*x**2/5 - 176*x + 160 = 0.
1, 20
Suppose 25*j**4/4 + 135*j**3 + 765*j**2 - 6480 = 0. Calculate j.
-12, -6, 12/5
Factor 10*t**3/9 + 26*t**2/3 + 16*t - 32/9.
2*(t + 4)**2*(5*t - 1)/9
Factor 5*w**4 - 75*w**3 + 290*w**2 - 420*w + 200.
5*(w - 10)*(w - 2)**2*(w - 1)
Let -189*g**4 - 6534*g**3 + 2829*g**2 - 210*g = 0. Calculate g.
-35, 0, 2/21, 1/3
Factor 5*f**3 + 260*f**2 + 3380*f.
5*f*(f + 26)**2
Determine l, given that 82*l**2 - 258*l + 36 = 0.
6/41, 3
Let 2*q**4 - 8*q**3 + 10*q**2 - 4*q = 0. What is q?
0, 1, 2
Suppose q**4/5 + 227*q**3/5 + 16863*q**2/5 + 77077*q - 1826132/5 = 0. Calculate q.
-77, 4
Factor 2*i**3 + 66*i**2 + 238*i + 174.
2*(i + 1)*(i + 3)*(i + 29