3*c - 420.
-3*(c - 28)*(7*c - 5)
Factor -6*w**3 + 104*w**2 - 34*w.
-2*w*(w - 17)*(3*w - 1)
Factor c**5/9 - 37*c**4/3 + 214*c**3/3 - 1268*c**2/9 + 280*c/3.
c*(c - 105)*(c - 2)**3/9
Let -6*c**4/11 - 6*c**3/11 + 36*c**2/11 = 0. Calculate c.
-3, 0, 2
Solve -2*j**2/13 + 758*j/13 = 0 for j.
0, 379
Factor -4*z**3/7 + 40*z**2/7 + 528*z/7 + 864/7.
-4*(z - 18)*(z + 2)*(z + 6)/7
Factor -5*t**4 - 29590*t**3 - 43748805*t**2 + 87586400*t - 43808000.
-5*(t - 1)**2*(t + 2960)**2
Find i such that -16*i**2 - 706*i - 88 = 0.
-44, -1/8
Find c, given that 9*c**2/2 + 78*c + 338 = 0.
-26/3
Suppose -16*m**4/3 + 76*m**3/9 + 182*m**2/9 + 64*m/9 + 2/3 = 0. Calculate m.
-1, -1/4, -1/6, 3
Suppose -25*n**4/2 - 85*n**3 - 409*n**2/2 - 204*n - 72 = 0. What is n?
-12/5, -1
Suppose 3*m**5/5 + 18*m**4/5 + 24*m**3/5 - 18*m**2/5 - 27*m/5 = 0. Calculate m.
-3, -1, 0, 1
Let 2*w**2 + 36*w + 34 = 0. Calculate w.
-17, -1
Factor 5*n**3 + 4445*n**2 + 4440*n.
5*n*(n + 1)*(n + 888)
Determine o so that -4*o**3/9 - 14*o**2/9 + 40*o/9 - 22/9 = 0.
-11/2, 1
Find n, given that -2*n**3/23 - 594*n**2/23 + 1796*n/23 - 1200/23 = 0.
-300, 1, 2
Factor 3*m**2/7 + 150*m/7 - 312/7.
3*(m - 2)*(m + 52)/7
Suppose 7*z**5/2 + 554*z**4 + 29642*z**3 + 557336*z**2 + 1141088*z + 281216 = 0. What is z?
-52, -2, -2/7
Find p, given that p**3/10 - 179*p**2/10 = 0.
0, 179
Factor -l**4/2 - 4*l**3 - 21*l**2/2 - 11*l - 4.
-(l + 1)**2*(l + 2)*(l + 4)/2
Find i, given that 56*i**5 + 240*i**4 - 538*i**3 + 234*i**2 + 32*i - 24 = 0.
-6, -2/7, 1/2, 1
Factor 4*g**2/3 + 112*g/3 + 784/3.
4*(g + 14)**2/3
Solve 6*y**5/13 - 40*y**4/13 - 1502*y**3/13 - 1936*y**2/13 - 480*y/13 = 0 for y.
-12, -1, -1/3, 0, 20
Determine x so that 34*x**3 + 166*x**2/5 - 4*x/5 = 0.
-1, 0, 2/85
Solve 2*y**4 - 22*y**3 + 88*y**2 - 152*y + 96 = 0 for y.
2, 3, 4
Factor -b**3/3 + 4*b**2/3 + 11*b/3 + 2.
-(b - 6)*(b + 1)**2/3
Find y such that -2*y**5 + 27*y**4 - 37*y**3 - 500*y**2 + 768*y - 256 = 0.
-4, 1/2, 1, 8
Determine b, given that -2*b**3/3 + 42*b**2 - 238*b/3 - 122 = 0.
-1, 3, 61
Factor r**4 - 3*r**3 + 3*r**2 - r.
r*(r - 1)**3
Determine a so that -3*a**3/8 + 249*a**2/8 - 630*a - 1323/2 = 0.
-1, 42
Factor y**2/2 + 333*y + 110889/2.
(y + 333)**2/2
Factor -4*g**3 - 1356*g**2 + 2724*g - 1364.
-4*(g - 1)**2*(g + 341)
Find v, given that v**5/4 - v**4/2 - 7*v**3/4 - v**2 = 0.
-1, 0, 4
Let 3*k**4/5 + 3*k**3/5 - 63*k**2/5 - 123*k/5 - 12 = 0. Calculate k.
-4, -1, 5
Let -4*f**3 - 60*f**2 - 104*f = 0. Calculate f.
-13, -2, 0
Factor 5*s**5 - 30*s**4 + 45*s**3 + 20*s**2 - 60*s.
5*s*(s - 3)*(s - 2)**2*(s + 1)
Let 154*v**4/15 + 46*v**3/5 - 8*v**2/5 - 8*v/15 = 0. What is v?
-1, -2/11, 0, 2/7
Suppose -5*q**5/2 - 5*q**4/2 + 45*q**3/2 - 55*q**2/2 + 10*q = 0. What is q?
-4, 0, 1
Solve -2*t**3 - 26*t**2 - 24*t = 0.
-12, -1, 0
Determine k so that -7*k**5/4 - 37*k**4/4 + 99*k**3 - 125*k**2 - 44*k = 0.
-11, -2/7, 0, 2, 4
Factor 2*q**4/7 - 20*q**3 + 2306*q**2/7 + 720*q + 2592/7.
2*(q - 36)**2*(q + 1)**2/7
Determine k, given that -4*k**5 - 768*k**4 + 1552*k**3 - 8*k**2 - 1548*k + 776 = 0.
-194, -1, 1
Solve -4*z**4 + 320*z**3 - 8424*z**2 + 69984*z + 78732 = 0 for z.
-1, 27
Factor -2*v**2 + 172*v + 352.
-2*(v - 88)*(v + 2)
Find r such that -2*r**4/13 - 22*r**3 + 298*r**2/13 + 1446*r/13 + 864/13 = 0.
-144, -1, 3
Suppose 6*p**3 + 194*p**2 + 840*p - 648 = 0. Calculate p.
-27, -6, 2/3
Find z, given that -4*z**5 - 112*z**4 - 296*z**3 + 112*z**2 + 300*z = 0.
-25, -3, -1, 0, 1
Factor -j**4 - 45*j**3 - 481*j**2 + 621*j + 1058.
-(j - 2)*(j + 1)*(j + 23)**2
Let 4*p**5/3 - 8*p**4 + 28*p**3/3 + 8*p**2 - 32*p/3 = 0. What is p?
-1, 0, 1, 2, 4
Factor -3*n**4 - 159*n**3 + 1602*n**2 - 4416*n + 2976.
-3*(n - 4)**2*(n - 1)*(n + 62)
Solve -n**2 - 285*n - 284 = 0.
-284, -1
Solve -2*b**5/13 + 6*b**4/13 + 14*b**3/13 - 22*b**2/13 - 12*b/13 + 16/13 = 0 for b.
-2, -1, 1, 4
Let -i**4 - 13*i**3 - 31*i**2 + 45*i = 0. What is i?
-9, -5, 0, 1
Solve 10*d**5 + 46*d**4 + 74*d**3 + 50*d**2 + 12*d = 0 for d.
-2, -1, -3/5, 0
Factor g**4 - 17*g**3 - 77*g**2 + 813*g - 1368.
(g - 19)*(g - 3)**2*(g + 8)
Solve -z**2/11 - 50*z/11 + 25 = 0.
-55, 5
Factor -2*l**2/15 - 17006*l/15 - 5668/5.
-2*(l + 1)*(l + 8502)/15
Factor f**3/4 - 11*f**2/4 - 57*f/4 - 45/4.
(f - 15)*(f + 1)*(f + 3)/4
Solve 5*r**4 + 780*r**3 + 31190*r**2 + 60060*r + 29645 = 0 for r.
-77, -1
Find y, given that -8*y**4/7 + 386*y**3/7 - 54*y**2 = 0.
0, 1, 189/4
Determine w so that 4*w**3 - 184*w**2 = 0.
0, 46
Solve -o**2/8 + 119*o/4 = 0.
0, 238
Factor -4*p**3 - 68*p**2.
-4*p**2*(p + 17)
What is f in 5*f**5 - 30*f**4 - 50*f**3 + 80*f**2 + 165*f + 70 = 0?
-1, 2, 7
Find h, given that 6*h**3 + 28*h**2 + 16*h = 0.
-4, -2/3, 0
Suppose -2*r**5/7 - 124*r**4/7 - 1920*r**3/7 + 124*r**2/7 + 1922*r/7 = 0. What is r?
-31, -1, 0, 1
Factor i**4/3 + 122*i**3/3 + 3953*i**2/3 + 13924*i/3.
i*(i + 4)*(i + 59)**2/3
Let 68*x**3 - 184*x**2 + 164*x - 48 = 0. What is x?
12/17, 1
Solve -d**5 + 61*d**4/5 - 122*d**3/5 - 398*d**2/5 - 161*d/5 + 49/5 = 0.
-1, 1/5, 7
Factor -3*m**4/8 + 9*m**3/8 - 3*m**2/4.
-3*m**2*(m - 2)*(m - 1)/8
Factor 5*f**3 + 55*f**2 + 50*f.
5*f*(f + 1)*(f + 10)
Factor -2*u**4/7 - 22*u**3/7 - 48*u**2/7 + 72*u/7.
-2*u*(u - 1)*(u + 6)**2/7
Let 3*w**4/2 + 48*w**3 + 693*w**2/2 + 852*w + 552 = 0. What is w?
-23, -4, -1
Suppose -3*y**2/5 + 2013*y/5 + 2016/5 = 0. Calculate y.
-1, 672
Suppose 4*c**4 + 168*c**3 + 628*c**2 + 768*c + 304 = 0. What is c?
-38, -2, -1
What is u in 5*u**4 - 105*u**3 + 825*u**2 - 2875*u + 3750 = 0?
5, 6
Factor r**3/4 - 31*r**2/4 + 255*r/4 - 225/4.
(r - 15)**2*(r - 1)/4
Let -2*k**3/13 + 28*k**2/13 = 0. Calculate k.
0, 14
What is m in 4*m**4 - 20*m**3 + 12*m**2 + 20*m - 16 = 0?
-1, 1, 4
Find w, given that -5*w**3 + 75*w**2 + 585*w + 945 = 0.
-3, 21
Factor 69*x**3 - 2*x**2/3 - 69*x + 2/3.
(x - 1)*(x + 1)*(207*x - 2)/3
Factor -3*n**2/7 + 2157*n/7 + 2178.
-3*(n - 726)*(n + 7)/7
Solve 3*o**3/2 - 3*o**2/2 - 6*o + 6 = 0 for o.
-2, 1, 2
Factor 4*z**3 + 740*z**2 - 4*z - 740.
4*(z - 1)*(z + 1)*(z + 185)
Suppose -3*o**4 + 255*o**3 - 1887*o**2 + 3021*o - 1386 = 0. Calculate o.
1, 6, 77
Solve 5*c**5 + 345*c**4 + 4215*c**3 - 59185*c**2 + 174720*c - 152100 = 0 for c.
-39, 2, 5
Find c, given that -2*c**2 - 22*c + 52 = 0.
-13, 2
Factor -3*s**2 + 16536*s - 22786608.
-3*(s - 2756)**2
Solve -5*l**2 + 80*l - 300 = 0.
6, 10
Suppose 9*m**5 + 51*m**4 + 111*m**3 + 117*m**2 + 60*m + 12 = 0. What is m?
-2, -1, -2/3
Let -2*a**5 + 16*a**3 + 12*a**2 - 14*a - 12 = 0. Calculate a.
-2, -1, 1, 3
Factor 2*d**3/19 + 74*d**2/19 - 248*d/19 - 320/19.
2*(d - 4)*(d + 1)*(d + 40)/19
Determine v so that 4*v**5 - 34*v**4 + 752*v**3/9 - 634*v**2/9 + 112*v/9 + 40/9 = 0.
-1/6, 2/3, 1, 2, 5
What is z in 3*z**3/4 + 15*z**2/4 - 219*z/4 - 231/4 = 0?
-11, -1, 7
Let -2*a**3 - 152*a**2/5 - 168*a/5 = 0. Calculate a.
-14, -6/5, 0
Find r, given that r**2 - 177*r - 178 = 0.
-1, 178
Factor 2*s**4 - 582*s**3 - 1758*s**2 - 1762*s - 588.
2*(s - 294)*(s + 1)**3
Find d such that -d**2 + 25*d + 84 = 0.
-3, 28
Factor 2*o**3/7 + 2*o**2 + 20*o/7.
2*o*(o + 2)*(o + 5)/7
Suppose 3*p**4 + 6*p**3 - 6*p - 3 = 0. What is p?
-1, 1
Factor -t**2 + 24*t - 63.
-(t - 21)*(t - 3)
Factor -4*d**5 + 56*d**4 - 264*d**3 + 432*d**2 + 108*d - 648.
-4*(d - 6)*(d - 3)**3*(d + 1)
Find q, given that 25*q**4/2 + 39190*q**3 + 30701442*q**2 - 24579968*q + 4917248 = 0.
-1568, 2/5
Factor -605*b**3 - 5885*b**2 - 4040*b - 720.
-5*(b + 9)*(11*b + 4)**2
Suppose n**2/4 - 43*n/4 = 0. What is n?
0, 43
Factor 2*n**4/7 + 16*n**3/7 + 30*n**2/7 - 8*n/7 - 40/7.
2*(n - 1)*(n + 2)**2*(n + 5)/7
Factor -2*f**3/7 + 996*f**2/7 + 998*f/7.
-2*f*(f - 499)*(f + 1)/7
Let -2*c**2 - 50*c + 168 = 0. Calculate c.
-28, 3
Factor -3*r**2 - 402*r - 13467.
-3*(r + 67)**2
Factor 3*q**3/5 - 111*q**2/5 - 234*q/5.
3*q*(q - 39)*(q + 2)/5
Determine k, given that k**3 + 2*k**2 - 5*k - 6 = 0.
-3, -1, 2
Solve -5*q**5 - 185*q**4 + 600*q**3 = 0.
-40, 0, 3
Determine t so that 5*t**2 + 1190*t - 1195 = 0.
-239, 1
Find c, given that 52*c**4 + 44*c**3 - 112*c**2 + 16*c = 0.
-2, 0, 2/13, 1
Find f, given that 3*f**3/4 - 3*f**2/4 - 27*f/4 + 27/4 = 0.
-3, 1, 3
Factor 2*q**2/9 - 76*q/9 - 112/3.
2*(q - 42)*(q + 4)/9
Factor -4*q**3/3 + 14*q**2/3 - 14*q/3 + 4/3.
-2*(q - 2)*(q - 1)*(2*q - 1)/3
Find g such that g**4 + 10*g**3 + 32*g**2 + 32*g = 0.
-4, -2, 0
Factor 2*o**2 - 5452*o.
2*o*(o - 2726)
Let -10*m**4 -