35*c.
5*c*(c - 1)*(c + 1)**2*(c + 7)
Factor u**4 + 473*u**3 + 943*u**2 + 471*u.
u*(u + 1)**2*(u + 471)
Let 4*p**4 - 4*p**3 - 20*p**2 - 12*p = 0. Calculate p.
-1, 0, 3
Determine c so that -c**3 + 25*c**2 - 66*c = 0.
0, 3, 22
Let -c**2/2 - 229*c + 1383/2 = 0. What is c?
-461, 3
Factor -t**2/3 - 4*t/3 + 32.
-(t - 8)*(t + 12)/3
Factor -2*f**4 + 104*f**3 - 652*f**2 + 1000*f - 450.
-2*(f - 45)*(f - 5)*(f - 1)**2
Solve -4*d**3/3 + 20*d**2/3 = 0 for d.
0, 5
Factor 4*f**4/3 - 12*f**3 + 112*f**2/3 - 48*f + 64/3.
4*(f - 4)*(f - 2)**2*(f - 1)/3
Find d, given that -28*d**3/9 + 1258*d**2/9 - 1796*d/9 - 1216/9 = 0.
-1/2, 2, 304/7
Factor i**2/4 + 199*i/4 + 99/2.
(i + 1)*(i + 198)/4
Solve 4*t**2 - 60*t = 0 for t.
0, 15
Factor c**3/2 - 31*c**2/2 + 255*c/2 - 225/2.
(c - 15)**2*(c - 1)/2
Find k such that -2*k**4/17 + 2*k**3 - 110*k**2/17 + 78*k/17 = 0.
0, 1, 3, 13
Determine w so that -2*w**5 - 22*w**4 - 68*w**3 - 28*w**2 + 70*w + 50 = 0.
-5, -1, 1
What is d in 3*d**5 + 33*d**4 + 135*d**3 + 255*d**2 + 222*d + 72 = 0?
-4, -3, -2, -1
Factor 2*f**3/11 - 158*f**2/11 + 460*f/11 - 304/11.
2*(f - 76)*(f - 2)*(f - 1)/11
Factor 2*c**4/9 - 22*c**3/9 + 64*c**2/9 - 56*c/9.
2*c*(c - 7)*(c - 2)**2/9
Factor 4*k**3/9 + 38*k**2/9 + 50*k/9 + 16/9.
2*(k + 1)*(k + 8)*(2*k + 1)/9
Let -w**2/4 + 305*w/2 - 93025/4 = 0. What is w?
305
Solve -3*h**5 - 34*h**4 - 41*h**3 - 10*h**2 = 0.
-10, -1, -1/3, 0
Suppose 2*q**5/7 + 8*q**4/7 - 18*q**3/7 - 128*q**2/7 - 200*q/7 - 96/7 = 0. Calculate q.
-3, -2, -1, 4
Solve -3*q**2 + 1863*q - 1860 = 0 for q.
1, 620
Determine t so that 17*t**4/7 + 19*t**3/7 - 66*t**2/7 - 76*t/7 - 8/7 = 0.
-2, -1, -2/17, 2
Determine x, given that 2*x**2/15 + 106*x/3 - 532/15 = 0.
-266, 1
Suppose 5*r**2/3 - 185*r/3 = 0. What is r?
0, 37
Factor z**3/2 + 345*z**2/2 + 14964*z + 14792.
(z + 1)*(z + 172)**2/2
Solve 3*v**4 - 3*v**3 - 6*v**2 = 0.
-1, 0, 2
What is x in -5*x**3/4 + 65*x**2/2 = 0?
0, 26
Factor 4*j**2 + 2072*j + 268324.
4*(j + 259)**2
Let -2*l**5/5 + 2*l**4 - 14*l**3/5 - 2*l**2/5 + 16*l/5 - 8/5 = 0. Calculate l.
-1, 1, 2
Factor 4*h**4/9 - 16*h**3/9 + 20*h**2/9 - 8*h/9.
4*h*(h - 2)*(h - 1)**2/9
Solve 5*v**3 + 425*v**2 + 390*v - 2520 = 0.
-84, -3, 2
Factor -2*l**2/5 + 226*l/5.
-2*l*(l - 113)/5
Suppose s**4/7 + 9*s**3/7 + 11*s**2/7 - 3*s = 0. What is s?
-7, -3, 0, 1
Find j such that 2*j**2/5 - 1112*j/5 = 0.
0, 556
Factor -3*k**2 - 78*k - 75.
-3*(k + 1)*(k + 25)
Factor u**2/3 + 34*u/3 + 40.
(u + 4)*(u + 30)/3
Factor 2*f**4/3 + 38*f**3/3 + 34*f**2 + 98*f/3 + 32/3.
2*(f + 1)**3*(f + 16)/3
Factor -2*v**3 - 608*v**2 - 45594*v + 93636.
-2*(v - 2)*(v + 153)**2
Factor -i**4/6 + 17*i**3/6 + i**2/6 - 17*i/6.
-i*(i - 17)*(i - 1)*(i + 1)/6
Solve 7*c**5/5 + 8*c**4 - 33*c**3/5 - 134*c**2/5 - 44*c/5 + 24/5 = 0.
-6, -1, 2/7, 2
Factor -2*b**2/3 + 146*b/3 + 148/3.
-2*(b - 74)*(b + 1)/3
Solve r**2/9 - 5*r/9 - 2/3 = 0 for r.
-1, 6
Factor g**4/8 - 13*g**3/8 + 9*g**2/2.
g**2*(g - 9)*(g - 4)/8
Let 25*z**5 - 34560*z**4 + 15918320*z**3 - 2439727250*z**2 - 1475958345*z + 979721810 = 0. What is z?
-1, 2/5, 461
What is m in -98*m**2 - 1232*m/3 - 3872/9 = 0?
-44/21
Find h such that -4*h**5 + 236*h**4 - 3596*h**3 + 3364*h**2 = 0.
0, 1, 29
Determine x, given that 4*x**3 - 164*x**2 + 720*x = 0.
0, 5, 36
Factor 2*y**2/3 - 176*y/3 + 344/3.
2*(y - 86)*(y - 2)/3
Factor -f**5 - 46*f**4 - 573*f**3 - 1012*f**2 - 484*f.
-f*(f + 1)**2*(f + 22)**2
Factor -2*m**2 + 60*m - 162.
-2*(m - 27)*(m - 3)
Factor -w**3/5 - 36*w**2/5 + 15*w - 38/5.
-(w - 1)**2*(w + 38)/5
Let 4*d**5/3 - 88*d**4/3 + 160*d**3 + 88*d**2/3 - 484*d/3 = 0. What is d?
-1, 0, 1, 11
Solve r**4/2 + 27*r**3 = 0.
-54, 0
Determine a, given that -4*a**3 - 16*a**2 - 20*a - 8 = 0.
-2, -1
What is b in -19321*b**3/5 - 19877*b**2/5 - 112*b - 4/5 = 0?
-1, -2/139
Factor -l**3/12 - 35*l**2/12 - 22*l/3 + 363.
-(l - 9)*(l + 22)**2/12
What is a in 3*a**4 + 3*a**3 - 93*a**2 + 213*a - 126 = 0?
-7, 1, 2, 3
Factor -2*d**3 - 3464*d**2 - 1499912*d.
-2*d*(d + 866)**2
Suppose -2*j**4/5 - 62*j**3/5 - 102*j**2 - 90*j = 0. Calculate j.
-15, -1, 0
What is d in d**5/2 + 23*d**4/2 + 51*d**3 = 0?
-17, -6, 0
Factor -3*v**2/4 - 57*v - 1083.
-3*(v + 38)**2/4
Factor -u**5 - 6*u**4 + 54*u**2 + 81*u.
-u*(u - 3)*(u + 3)**3
Factor -3*k**2/7 + 948*k/7 - 74892/7.
-3*(k - 158)**2/7
Suppose -2*v**4 - 18*v**3 - 42*v**2 - 38*v - 12 = 0. Calculate v.
-6, -1
Suppose -3*r**4 - 285*r**3 - 816*r**2 + 1140*r + 3312 = 0. What is r?
-92, -3, -2, 2
Find b such that 150*b**5/7 - 2020*b**4/7 + 23672*b**3/21 - 18448*b**2/21 - 5120*b/7 - 768/7 = 0.
-4/15, 2, 6
Factor -4*i**4/5 + 16*i**3/5 + 4*i**2.
-4*i**2*(i - 5)*(i + 1)/5
Factor -5*o**3 - 2045*o**2 - 208075*o + 210125.
-5*(o - 1)*(o + 205)**2
Factor 2*p**2/7 - 80*p/7 + 152/7.
2*(p - 38)*(p - 2)/7
Suppose -3*q**2 + 523*q/5 + 14 = 0. Calculate q.
-2/15, 35
Determine s so that 183*s**5/8 - 93*s**4/2 + 3*s**3/2 = 0.
0, 2/61, 2
Factor -a**5 - 30*a**4 - 128*a**3 + 384*a**2.
-a**2*(a - 2)*(a + 8)*(a + 24)
Solve -2*v**3/11 + 200*v**2/11 - 3114*v/11 + 13284/11 = 0 for v.
9, 82
Factor -2*u**3/9 - 4*u**2/3 - 16*u/9.
-2*u*(u + 2)*(u + 4)/9
Find t such that 2*t**2 - 9264*t + 10727712 = 0.
2316
Solve t**5/7 + 10*t**4/7 - 9*t**3/7 - 214*t**2/7 - 508*t/7 - 360/7 = 0 for t.
-9, -2, 5
Find h such that -h**4/3 + 7*h**3/3 + 26*h**2/3 - 24*h = 0.
-4, 0, 2, 9
Factor 3*g**3/4 + 9*g**2/4.
3*g**2*(g + 3)/4
Factor 3*i**4/7 + 459*i**3/7 - 927*i**2/7 + 465*i/7.
3*i*(i - 1)**2*(i + 155)/7
Factor j**2 - 3838*j + 3682561.
(j - 1919)**2
Factor -r**5/3 - 5*r**4/3 - 10*r**3/3 - 10*r**2/3 - 5*r/3 - 1/3.
-(r + 1)**5/3
What is v in v**2/5 + 292*v/5 + 21316/5 = 0?
-146
Factor 2*m**2/5 - 158*m/5.
2*m*(m - 79)/5
Let s**2 - 5*s - 24 = 0. What is s?
-3, 8
Factor -5*g**3 - 90*g**2 + 315*g.
-5*g*(g - 3)*(g + 21)
Solve -2*l**3/11 + 40*l**2/11 - 18*l = 0.
0, 9, 11
Find u, given that 16*u**5/13 - 72*u**4/13 - 244*u**3/13 - 238*u**2/13 - 96*u/13 - 14/13 = 0.
-1, -1/2, 7
Solve -2*j**4/3 - 14*j**3/3 + 2*j**2 + 38*j/3 - 28/3 = 0.
-7, -2, 1
Factor b**4 + 15*b**3 - 217*b**2 + 789*b - 900.
(b - 4)*(b - 3)**2*(b + 25)
Solve -5*h**5 + 75*h**4 + 95*h**3 - 215*h**2 - 390*h - 160 = 0.
-1, 2, 16
Solve -14*c**5 - 18*c**4 + 66*c**3 - 22*c**2 - 12*c = 0.
-3, -2/7, 0, 1
Factor 3*n**3/2 - 42*n**2.
3*n**2*(n - 28)/2
Suppose 3*f**2 + 17040*f + 24196800 = 0. What is f?
-2840
Factor 5*o**2 - 205*o + 200.
5*(o - 40)*(o - 1)
Factor n**3/4 + 107*n**2/4 - 233*n/4 - 1635/4.
(n - 5)*(n + 3)*(n + 109)/4
Let -35*v**5 + 185*v**4 + 160*v**3 - 1180*v**2 - 800*v + 320 = 0. What is v?
-2, -1, 2/7, 4
Factor 4*d**4/9 - 4*d**2 - 16*d/9 + 16/3.
4*(d - 3)*(d - 1)*(d + 2)**2/9
Factor -3*b**2 + 10836*b - 9784908.
-3*(b - 1806)**2
Factor -3*g**2/2 + 2695*g/2 - 449.
-(g - 898)*(3*g - 1)/2
Factor 5*s**3 - 35*s**2 + 80*s - 60.
5*(s - 3)*(s - 2)**2
Factor -3*t**3/4 - 3*t**2/2 + 39*t/4 - 15/2.
-3*(t - 2)*(t - 1)*(t + 5)/4
Find h such that 2*h**3/7 + 40*h**2/7 - 6*h = 0.
-21, 0, 1
Find j, given that 162*j**4 + 144*j**3 - 976*j**2 - 448*j + 1568 = 0.
-2, 14/9
Determine j so that -j**4 + 2*j**3 = 0.
0, 2
Determine n, given that 4*n**5 - 12*n**4 + 4*n**3 + 12*n**2 - 8*n = 0.
-1, 0, 1, 2
Find m, given that 25*m**5 - 540*m**4 + 1205*m**3 + 670*m**2 - 1860*m - 760 = 0.
-1, -2/5, 2, 19
What is v in 3*v**3/2 + 24*v**2 - 57*v/2 - 51 = 0?
-17, -1, 2
Factor 2*w**3/5 + 622*w**2/5 + 1238*w/5 + 618/5.
2*(w + 1)**2*(w + 309)/5
Factor 2*m**2/25 - 32*m/25.
2*m*(m - 16)/25
Factor d**4/2 - 70*d**3 + 2379*d**2 + 4970*d + 5041/2.
(d - 71)**2*(d + 1)**2/2
Factor 3*w**5/4 + 9*w**4 + 45*w**3/2 + 21*w**2 + 27*w/4.
3*w*(w + 1)**3*(w + 9)/4
Suppose 5*g**2 + 360*g + 6435 = 0. Calculate g.
-39, -33
Factor -33*a**3 - 315*a**2 - 882*a - 600.
-3*(a + 1)*(a + 4)*(11*a + 50)
Let q**5/9 - 52*q**4/9 - 37*q**3/3 + 158*q**2/9 + 220*q/9 - 24 = 0. What is q?
-2, 1, 54
Let -4*a**4 + 58648*a**3 - 286651872*a**2 + 467146961640*a - 466860368412 = 0. What is a?
1, 4887
Solve 2*o**2 + 300*o + 11250 = 0 for o.
-75
Factor -2*z**3 - 117*z**2/2 - 29*z/2.
-z*(z + 29)*(4*z + 1)/2
Factor 3*b**4 - 315*b**3 + 927*b**2 - 921*b + 306.
3*(b - 102)*(b - 1)**3
Factor v**2/4 + 3*v/2 + 2.
(v + 2)*(v + 4)/4
Find w such that -w**4 + 111*w**3 - 3135*w**2 + 3025*w = 0.
0, 1, 55
Factor j**2/5 + 6*j/5 - 16/5.
(j - 2)*(j + 8)/5
Factor -x**3/4 + 43*x**2/4 - 110*x - 121.
-(x - 22)**2*(x + 1)/4
Factor m**4 + 11*m**3/4