1136*z**3/5 + 4592*z**2/5 - 4608*z/5.
-4*z*(z - 2)**2*(z + 288)/5
Factor -2*f**2/3 - 40*f - 114.
-2*(f + 3)*(f + 57)/3
Factor 2*l**4 - 198*l**3 + 6630*l**2 - 93058*l + 471648.
2*(l - 48)*(l - 17)**3
Factor 2*o**2 + 220*o - 448.
2*(o - 2)*(o + 112)
Find r, given that 5*r**4 - 100*r**3 + 465*r**2 - 650*r + 280 = 0.
1, 4, 14
Determine k so that 3*k**5/5 - 18*k**4/5 + 42*k**3/5 - 48*k**2/5 + 27*k/5 - 6/5 = 0.
1, 2
Factor -2*c**2 + 112*c - 318.
-2*(c - 53)*(c - 3)
Solve -w**3/3 + 8*w**2/3 + 4*w/3 - 32/3 = 0 for w.
-2, 2, 8
Solve 2*o**4 + 2*o**3 - 10*o**2 + 6*o = 0 for o.
-3, 0, 1
Factor x**4 + 6*x**3 - 16*x**2.
x**2*(x - 2)*(x + 8)
Solve -m**5/9 + 19*m**4/3 - 263*m**3/9 + 49*m**2/3 + 52*m = 0.
-1, 0, 3, 52
Let 3*n**3 + 24*n**2 - 93*n + 66 = 0. Calculate n.
-11, 1, 2
Solve 1987*g**3 - 3975*g**2 + 1989*g - 1 = 0 for g.
1/1987, 1
Factor 2*u**2 + 114*u + 1480.
2*(u + 20)*(u + 37)
Find p, given that p**2/2 + 165*p/2 + 243 = 0.
-162, -3
Suppose r**5/8 + 9*r**4/8 + 5*r**3/2 - 5*r**2/2 - 12*r - 8 = 0. What is r?
-4, -2, -1, 2
Solve 2*w**5/9 + 442*w**4/9 + 878*w**3/9 + 146*w**2/3 = 0 for w.
-219, -1, 0
Suppose 2*k**3/7 + 4*k**2 + 2*k - 156/7 = 0. What is k?
-13, -3, 2
Find v such that 2*v**5/19 - 4*v**4/19 - 8*v**3/19 + 16*v**2/19 = 0.
-2, 0, 2
Factor s**5/8 - 3*s**4/4 + s**3/2 + 3*s**2/4 - 5*s/8.
s*(s - 5)*(s - 1)**2*(s + 1)/8
Solve -5*m**4/2 + 125*m**3/2 + 965*m**2 + 900*m = 0 for m.
-10, -1, 0, 36
Find c such that 2*c**4 - 38*c**3 + 252*c**2 - 648*c + 432 = 0.
1, 6
Let -5*a**2/4 + 30*a - 180 = 0. What is a?
12
Suppose 2*d**3/11 - 212*d**2/11 + 822*d/11 - 612/11 = 0. What is d?
1, 3, 102
Factor 4*m**2 - 48*m + 108.
4*(m - 9)*(m - 3)
Suppose 3*j**5 - 32*j**4 + 20*j**3 + 90*j**2 - 23*j - 58 = 0. What is j?
-1, 1, 2, 29/3
Factor -2*z**5 + 16*z**4 + 40*z**3 + 4*z**2 - 38*z - 20.
-2*(z - 10)*(z - 1)*(z + 1)**3
Factor -h**5/7 + 2*h**4 - 61*h**3/7 + 12*h**2 - 36*h/7.
-h*(h - 6)**2*(h - 1)**2/7
Factor 2*z**2/11 - 212*z/11 + 1200/11.
2*(z - 100)*(z - 6)/11
Let -r**2 + 3682*r - 3389281 = 0. What is r?
1841
Solve d**2/3 + 1121*d - 3364/3 = 0.
-3364, 1
Suppose 105*b**5 - 205*b**4 - 430*b**3 + 190*b**2 + 325*b + 15 = 0. What is b?
-1, -1/21, 1, 3
Factor 2*h**2 - 16*h + 24.
2*(h - 6)*(h - 2)
Find t, given that -3*t**3/4 - 11*t**2/2 + 475*t/4 - 153/2 = 0.
-17, 2/3, 9
Factor -4*g**3/3 - 316*g**2/3 - 1724*g/3 + 2044/3.
-4*(g - 1)*(g + 7)*(g + 73)/3
Find j such that 2*j**3/17 + 84*j**2/17 - 360*j/17 + 368/17 = 0.
-46, 2
Find h such that 2*h**3/9 + 124*h**2/9 + 1792*h/9 - 4096/9 = 0.
-32, 2
Factor q**2 - 33*q - 190.
(q - 38)*(q + 5)
Suppose -2*c**3 - 8*c**2 + 14*c + 20 = 0. Calculate c.
-5, -1, 2
Let 10*y**5/3 + 304*y**4/9 + 760*y**3/9 + 32*y**2/3 = 0. What is y?
-6, -4, -2/15, 0
Factor 1024*t**2/5 - 205*t + 1/5.
(t - 1)*(1024*t - 1)/5
Determine w so that w**2/4 - 199*w/4 + 485/2 = 0.
5, 194
Factor 3*z**2 + 240*z + 4800.
3*(z + 40)**2
Factor u**2/9 + 13*u/3 - 322/9.
(u - 7)*(u + 46)/9
Factor t**4 - 5*t**3/3 - 34*t**2/3 + 8*t.
t*(t - 4)*(t + 3)*(3*t - 2)/3
Let 3*q**2 + 63*q - 216 = 0. Calculate q.
-24, 3
Factor -3*i**2/4 - 315*i + 1263/4.
-3*(i - 1)*(i + 421)/4
Let -20*s**5 - 45*s**4 - 10*s**3 + 40*s**2 + 30*s + 5 = 0. What is s?
-1, -1/4, 1
Find b such that b**5 + 21*b**4 + 56*b**3 + 36*b**2 = 0.
-18, -2, -1, 0
Let 2*z**4 - 154*z**3 - 2*z**2 + 154*z = 0. Calculate z.
-1, 0, 1, 77
Find b, given that -b**5/4 - b**4/2 - b**3/4 = 0.
-1, 0
Factor -2*a**3 + 14*a**2 - 30*a + 18.
-2*(a - 3)**2*(a - 1)
Factor 2*j**2 + 310*j.
2*j*(j + 155)
Solve 4*c**3 + 76*c**2 + 192*c - 720 = 0 for c.
-15, -6, 2
Factor f**4/3 - 82*f**3/3 + 587*f**2 - 3280*f/3 + 1600/3.
(f - 40)**2*(f - 1)**2/3
Find k, given that -2*k**4/9 + 140*k**3/9 + 298*k**2/3 + 1360*k/9 + 608/9 = 0.
-4, -1, 76
Factor t**3/3 + 454*t**2/3 + 47200*t/3 - 334176.
(t - 18)*(t + 236)**2/3
Determine s so that 3*s**2/4 + 165*s/4 + 282 = 0.
-47, -8
Find q such that -q**3/12 + q**2 - 3*q = 0.
0, 6
Solve 2*k**4 - 146*k**3/3 - 592*k**2/3 - 664*k/3 - 224/3 = 0 for k.
-2, -1, -2/3, 28
Suppose -16*m**4 - 4568*m**3 + 2295*m**2 + 2003*m + 286 = 0. What is m?
-286, -1/4, 1
Factor 2*c**4/7 - 44*c**3/7 - 46*c**2/7.
2*c**2*(c - 23)*(c + 1)/7
Solve -k**4/6 + 5*k**3/2 - 14*k**2 + 104*k/3 - 32 = 0.
3, 4
Factor 8*i**3 + 52*i**2 + 52*i - 40.
4*(i + 2)*(i + 5)*(2*i - 1)
Factor 2*r**2 - 1080*r + 145800.
2*(r - 270)**2
Solve -n**3/4 + 235*n**2/4 - 3422*n - 3481 = 0.
-1, 118
Let -2*l**2 - 3926*l + 7860 = 0. What is l?
-1965, 2
Factor 2*s**2 - 2380*s + 708050.
2*(s - 595)**2
Factor 2*f**4/9 + 4*f**3 + 154*f**2/9 - 16*f - 72.
2*(f - 2)*(f + 2)*(f + 9)**2/9
Determine j so that -11*j**4/5 + 563*j**3/5 - 6966*j**2/5 - 6188*j/5 + 1352/5 = 0.
-1, 2/11, 26
Suppose -2*m**2/9 - 44*m/9 = 0. What is m?
-22, 0
Factor -5*h**4 - 5*h**3 + 100*h**2.
-5*h**2*(h - 4)*(h + 5)
Suppose 3*i**5 - 18*i**4 + 21*i**3 + 18*i**2 - 24*i = 0. What is i?
-1, 0, 1, 2, 4
Determine s, given that -28*s**2/3 - 228*s - 96 = 0.
-24, -3/7
Factor 8*f**2 + 47*f/3 - 2/3.
(f + 2)*(24*f - 1)/3
Factor -5*l**2 - 150*l + 495.
-5*(l - 3)*(l + 33)
What is s in -2*s**5/5 - 17*s**4/5 - 52*s**3/5 - 14*s**2 - 42*s/5 - 9/5 = 0?
-3, -1, -1/2
Let -15*q**5 + 145*q**4 - 465*q**3 + 655*q**2 - 420*q + 100 = 0. What is q?
2/3, 1, 2, 5
Factor 3*t**2/5 + 9*t/5.
3*t*(t + 3)/5
Suppose 3*t**2 - 48*t - 51 = 0. What is t?
-1, 17
Factor -p**3/4 - 65*p**2/4 - 62*p - 61.
-(p + 2)**2*(p + 61)/4
Factor -21*w**2/2 + 435*w/2 + 63.
-3*(w - 21)*(7*w + 2)/2
Factor -3*v**2 + 198*v - 195.
-3*(v - 65)*(v - 1)
Suppose j**3/3 - j**2 + 4/3 = 0. Calculate j.
-1, 2
Factor 3*v**2/4 + 69*v/4.
3*v*(v + 23)/4
Let -c**2/2 + 107*c/2 - 105 = 0. What is c?
2, 105
Factor -h**2 + 4*h + 5.
-(h - 5)*(h + 1)
Factor -3*i**2/4 + 3*i/2 + 189/4.
-3*(i - 9)*(i + 7)/4
Factor -s**4 + 47*s**3 - 828*s**2 + 6480*s - 19008.
-(s - 12)**3*(s - 11)
Solve -3*y**3/4 + 3*y**2 + 453*y/4 - 231/2 = 0 for y.
-11, 1, 14
Suppose -3*r**2 - 336*r + 2880 = 0. Calculate r.
-120, 8
What is m in 2*m**3/7 - 20*m**2/7 + 18*m/7 = 0?
0, 1, 9
Factor -2*u**2/17 - 48*u/17 + 104/17.
-2*(u - 2)*(u + 26)/17
Let 10*s**4 + 15*s**3 - 50*s**2 - 60*s + 40 = 0. What is s?
-2, 1/2, 2
Find d, given that -2*d**4/7 + 18*d**3/7 + 2*d**2 - 138*d/7 + 108/7 = 0.
-3, 1, 2, 9
Find w such that -4*w**4 - 60*w**3 + 1932*w**2 + 4028*w + 2040 = 0.
-30, -1, 17
Factor -a**2/6 + 55*a/6 + 28/3.
-(a - 56)*(a + 1)/6
Let 3*o**5/2 - 25*o**4/6 + 2*o**3 + 2*o**2/3 = 0. Calculate o.
-2/9, 0, 1, 2
Factor -f**2/4 + 11*f/4 + 3.
-(f - 12)*(f + 1)/4
Find o such that -21*o**4 + 120*o**3 + 36*o**2 = 0.
-2/7, 0, 6
Let -2*f**5/3 + 64*f**4/3 - 430*f**3/3 + 1160*f**2/3 - 456*f + 192 = 0. Calculate f.
1, 2, 3, 24
Solve -6*q**5/13 - 16*q**4/13 + 20*q**3/13 + 32*q**2/13 - 30*q/13 = 0 for q.
-3, -5/3, 0, 1
What is l in -28*l**3 - 136*l**2 - 188*l - 80 = 0?
-20/7, -1
What is j in 10*j**4/19 - 46*j**3/19 + 34*j**2/19 + 54*j/19 - 36/19 = 0?
-1, 3/5, 2, 3
Let h**5/3 - 8*h**4/3 - h**3 + 22*h**2/3 + 16*h/3 = 0. What is h?
-1, 0, 2, 8
Let -2*s**3 + 52*s**2 + 2*s - 52 = 0. Calculate s.
-1, 1, 26
Factor h**4/10 - 4*h**3/5 - 251*h**2/10 - 231*h/5.
h*(h - 21)*(h + 2)*(h + 11)/10
Let -2*y**2/9 + 6*y - 100/9 = 0. What is y?
2, 25
What is q in -q**2/3 + 1/3 = 0?
-1, 1
Determine s so that -5*s**2 + 480*s - 11520 = 0.
48
Solve -2*v**5/5 + 8*v**4/5 - 2*v**3 + 4*v**2/5 = 0.
0, 1, 2
Find p such that -2*p**3/19 + 2*p**2/19 + 4*p/19 = 0.
-1, 0, 2
Let 3*d**3 + 222*d**2 - 3*d - 222 = 0. Calculate d.
-74, -1, 1
Find c such that -25*c**3 + 1570*c**2 + 1911*c + 576 = 0.
-3/5, 64
Suppose l**5/4 - 2*l**4 + 6*l**3 - 17*l**2/2 + 23*l/4 - 3/2 = 0. What is l?
1, 2, 3
Find y such that -y**3/3 - 95*y**2/3 - 367*y/3 - 91 = 0.
-91, -3, -1
Let -4*x**3 + 36*x**2 - 60*x - 100 = 0. Calculate x.
-1, 5
Factor -c**2/8 + 385*c/8 - 573/4.
-(c - 382)*(c - 3)/8
Factor 2775368*v**3/13 + 2780080*v**2/13 + 4714*v/13 + 2/13.
2*(v + 1)*(1178*v + 1)**2/13
Let 14*p**4 + 1082*p**3 + 21588*p**2 + 26296*p + 5776 = 0. Calculate p.
-38, -1, -2/7
Determine g, given that 28*g**4 + 92*g**3 - 4*g**2 - 92*g - 24 = 0.
-3, -1, -2/7, 1
Factor -36*w**2 - 292*w + 5544.
-4*(w - 9)*(9*w + 154)
Solve 2*v**2/5 + 46*v/5 - 48/5 = 0 for v.
-24, 1
Factor 2*f**4/7 + 30*f**3/7 + 54*f**2/7 + 26*f/7.
2*f*(f + 1)**2*(f + 13)/7
Suppose 2*i**5 + 44*i**4 + 348*i**3 + 1160*i**2 + 1442*i + 588 = 0. Calculate i.
-7, -6, 