11 + 122*z/11 + 252/11.
2*(z - 63)*(z - 2)*(z + 1)/11
Determine j so that -5*j**5 - 5*j**4 + 745*j**3 + 2705*j**2 - 7600*j + 4160 = 0.
-8, 1, 13
Suppose 2*x**4 - 20*x**3 - 46*x**2 - 24*x = 0. Calculate x.
-1, 0, 12
Factor 3*f**3 - 1473*f**2 - 2955*f - 1479.
3*(f - 493)*(f + 1)**2
Suppose 4*s**3 - 16*s**2 - 36*s + 144 = 0. Calculate s.
-3, 3, 4
Factor q**3 - 422*q**2 + 1259*q - 838.
(q - 419)*(q - 2)*(q - 1)
Factor i**3/2 + 22*i**2 + 199*i/2 + 78.
(i + 1)*(i + 4)*(i + 39)/2
Factor -3*g**2/4 + 237*g/2 - 18723/4.
-3*(g - 79)**2/4
Factor 3*d**4 - 3*d**3 - 45*d**2 + 27*d + 162.
3*(d - 3)**2*(d + 2)*(d + 3)
Factor 10*q**2 + 344*q + 136.
2*(q + 34)*(5*q + 2)
Find u such that -4*u**4/5 + 16*u**2/5 = 0.
-2, 0, 2
Let 3*g**4/5 + 147*g**3/5 - 786*g**2/5 + 1284*g/5 - 648/5 = 0. Calculate g.
-54, 1, 2
Solve -5*f**5 - 160*f**4 - 300*f**3 + 10*f**2 + 305*f + 150 = 0 for f.
-30, -1, 1
Factor -8*x**2/7 - 162*x/7 - 40/7.
-2*(x + 20)*(4*x + 1)/7
Let 4*b**4 + 112*b**3 - 268*b**2 - 856*b - 480 = 0. What is b?
-30, -1, 4
Factor 2*s**3 - 1332*s**2 + 223104*s - 440896.
2*(s - 332)**2*(s - 2)
Factor q**2/4 - 234*q + 54756.
(q - 468)**2/4
Factor 3*g**4/5 - 84*g**3/5.
3*g**3*(g - 28)/5
Solve 35*r**5 + 305*r**4 + 190*r**3 - 80*r**2 = 0 for r.
-8, -1, 0, 2/7
Factor 2*n**3/13 + 4884*n**2/13 - 4886*n/13.
2*n*(n - 1)*(n + 2443)/13
Factor m**3 + 6*m**2 - 13*m - 42.
(m - 3)*(m + 2)*(m + 7)
Factor 12*d**2 + 45*d + 27.
3*(d + 3)*(4*d + 3)
Factor -3*c**2 + 228*c + 711.
-3*(c - 79)*(c + 3)
Factor g**4/6 - 11*g**3/2 - 35*g**2/2 - 107*g/6 - 6.
(g - 36)*(g + 1)**3/6
What is c in 20*c**4 + 8*c**3 - 20*c**2 - 8*c = 0?
-1, -2/5, 0, 1
Let a**4/4 + 603*a**3/4 + 121203*a**2/4 + 8120601*a/4 = 0. What is a?
-201, 0
Factor -2*p**4/13 + 18*p**3/13 + 140*p**2/13.
-2*p**2*(p - 14)*(p + 5)/13
Find l such that -l**5/5 - 204*l**4/5 - 11001*l**3/5 - 12238*l**2 - 119196*l/5 - 78408/5 = 0.
-99, -2
Solve 2*q**5 - 30*q**4 + 122*q**3 - 114*q**2 - 124*q + 144 = 0 for q.
-1, 1, 2, 4, 9
Find q, given that 4*q**3 + 314*q**2/3 + 2080*q/3 + 338/3 = 0.
-13, -1/6
Determine u so that -3*u**3/7 + 9*u/7 + 6/7 = 0.
-1, 2
Let -45*m**2/4 + 219*m/4 - 87/2 = 0. What is m?
1, 58/15
Factor -3*v**2 - 465*v - 462.
-3*(v + 1)*(v + 154)
Factor 4*p**2 - 11628*p + 11624.
4*(p - 2906)*(p - 1)
Solve 3*v**2/5 + 48*v/5 - 396/5 = 0 for v.
-22, 6
Let -f**3/9 - 896*f**2 - 2408448*f - 2157969408 = 0. What is f?
-2688
What is g in 2*g**4/7 + 107*g**3/7 - 165*g**2/7 + g/7 + 55/7 = 0?
-55, -1/2, 1
Suppose -3*v**4/5 - 5481*v**3/5 = 0. Calculate v.
-1827, 0
Factor m**3/7 + 3*m**2/7.
m**2*(m + 3)/7
Factor 22*j**2/13 + 24*j/13 + 2/13.
2*(j + 1)*(11*j + 1)/13
Determine k so that -5*k**2/2 + 82*k - 64 = 0.
4/5, 32
Factor -2*o**3 + 2*o**2 + 20*o + 16.
-2*(o - 4)*(o + 1)*(o + 2)
What is u in 5*u**5 - 200*u**4 - 645*u**3 = 0?
-3, 0, 43
Let -g**2 + 164*g - 640 = 0. What is g?
4, 160
Factor 4*t**5 - 204*t**4 - 1792*t**3 - 5536*t**2 - 7488*t - 3776.
4*(t - 59)*(t + 2)**4
Let -3*f**2 - 96*f + 2499 = 0. What is f?
-49, 17
Solve -12*x**5 - 155*x**4 - 394*x**3 + 623*x**2 - 14*x - 48 = 0.
-8, -6, -1/4, 1/3, 1
Suppose -f**2/4 + 38*f - 151/4 = 0. What is f?
1, 151
Solve 3*s**3/5 - 1677*s**2/5 - 1686*s/5 + 672 = 0.
-2, 1, 560
Find c such that -4*c**3 + 92*c**2 + 416*c + 432 = 0.
-2, 27
Factor -b**2/7 + 4*b/7 - 3/7.
-(b - 3)*(b - 1)/7
What is n in 2*n**4/3 + 2*n**3/3 - 4*n**2 = 0?
-3, 0, 2
Determine u so that 2*u**3 - 34*u**2 + 62*u - 30 = 0.
1, 15
Factor -3*w**4 - 15*w**3 + 534*w**2 - 2784*w + 4320.
-3*(w - 5)*(w - 4)**2*(w + 18)
Factor -3364*d**2/5 + 4524*d/5 - 1521/5.
-(58*d - 39)**2/5
Factor 2*r**2 - 72*r.
2*r*(r - 36)
Factor 4*q**2 + 200*q + 2100.
4*(q + 15)*(q + 35)
Find s, given that s**2 + 1205*s + 2406 = 0.
-1203, -2
Factor 5*m**3 - 28395*m**2 + 53751735*m - 33917344785.
5*(m - 1893)**3
Factor -2*a**3 - 19*a**2/4 - 7*a/2 - 3/4.
-(a + 1)**2*(8*a + 3)/4
Factor -5*g**2/4 - 227*g/4 - 45/2.
-(g + 45)*(5*g + 2)/4
Determine l so that l**2/4 + 11*l + 21 = 0.
-42, -2
Factor -500*k**2 - 266*k - 8.
-2*(2*k + 1)*(125*k + 4)
Find v such that 3*v**2/2 + 531*v/2 + 264 = 0.
-176, -1
Let r**4/3 - 35*r**3/3 - 37*r**2/3 + 35*r/3 + 12 = 0. Calculate r.
-1, 1, 36
Factor 2*z**4/13 - 72*z**3/13 + 480*z**2/13 + 3200*z/13.
2*z*(z - 20)**2*(z + 4)/13
Factor 20*b**5 + 108*b**4 + 168*b**3 + 56*b**2 - 60*b - 36.
4*(b + 1)**3*(b + 3)*(5*b - 3)
Factor 4*m**5/5 - 2*m**4 + 8*m**3/5 - 2*m**2/5.
2*m**2*(m - 1)**2*(2*m - 1)/5
Factor f**4 + 9*f**3 + 25*f**2 + 27*f + 10.
(f + 1)**2*(f + 2)*(f + 5)
Factor -5*s**4 - 180*s**3 - 2270*s**2 - 11700*s - 21125.
-5*(s + 5)**2*(s + 13)**2
Solve 2*y**3/7 + 22*y**2/7 + 10*y + 50/7 = 0.
-5, -1
Factor 9*n**2/2 - 93*n/2 + 54.
3*(n - 9)*(3*n - 4)/2
Suppose 18*d**5 + 141*d**4 + 306*d**3 + 276*d**2 + 108*d + 15 = 0. Calculate d.
-5, -1, -1/2, -1/3
Find h such that -h**3/3 + h**2 + 16*h/3 + 4 = 0.
-2, -1, 6
Solve 3*p**3 - 1494*p**2 = 0.
0, 498
What is r in 5*r**2 - 70*r - 75 = 0?
-1, 15
Factor 2*h**3/5 + 30*h**2 + 750*h + 6250.
2*(h + 25)**3/5
Factor 3*c**5 + 11*c**4 - 21*c**3 - 99*c**2 - 54*c.
c*(c - 3)*(c + 3)**2*(3*c + 2)
Factor 5*h**2 + 15*h - 1890.
5*(h - 18)*(h + 21)
Factor -4*r**5 + 1468*r**4 - 2924*r**3 + 1460*r**2.
-4*r**2*(r - 365)*(r - 1)**2
Find z such that -2*z**2/7 + 664*z/7 - 55112/7 = 0.
166
Factor -2*o**4 + 8072*o**3 - 12216972*o**2 + 8217949832*o - 2072977845122.
-2*(o - 1009)**4
Let p**3 + 60*p**2 - 123*p + 62 = 0. Calculate p.
-62, 1
Factor -3*l**3 - 369*l**2 + 747*l - 375.
-3*(l - 1)**2*(l + 125)
Factor -16*n**3 - 356*n**2 + 660*n - 288.
-4*(n - 1)*(n + 24)*(4*n - 3)
Let -2*w**2/3 - 332*w/3 = 0. Calculate w.
-166, 0
Find j, given that 4*j**4/7 - 176*j**3/7 = 0.
0, 44
Determine v, given that -3*v**3/2 + 408*v**2 - 10983*v/2 + 18963 = 0.
7, 258
What is v in 5*v**4 + 20*v**3 - 25*v**2 = 0?
-5, 0, 1
Let 5*t**3 + 955*t**2 + 3760*t + 3740 = 0. Calculate t.
-187, -2
Factor 3*d**2 + 36*d + 81.
3*(d + 3)*(d + 9)
Solve -4*l**5 + 24*l**4 - 8*l**3 - 144*l**2 + 108*l + 216 = 0.
-2, -1, 3
Factor -2*u**2/11 - 14*u/11 + 36/11.
-2*(u - 2)*(u + 9)/11
Let 3*g**5 - 168*g**4 + 1593*g**3 - 4908*g**2 + 1968*g + 8640 = 0. Calculate g.
-1, 4, 45
Solve 5*t**4 + 40*t**3 + 25*t**2 - 70*t = 0.
-7, -2, 0, 1
Find o, given that o**4/2 - 2*o**3 - 205*o**2/2 + 650*o + 750 = 0.
-15, -1, 10
Let 2*z**2 + 3646*z = 0. Calculate z.
-1823, 0
Factor -q**3/4 - 3*q**2/2 + q + 6.
-(q - 2)*(q + 2)*(q + 6)/4
Determine z, given that 3*z**5/4 + 15*z**4/4 + 9*z**3/2 - 3*z**2/2 - 21*z/4 - 9/4 = 0.
-3, -1, 1
What is t in -15*t**3 - 50*t**2 - 55*t - 20 = 0?
-4/3, -1
What is h in 242*h**2/19 + 2376*h/19 + 5832/19 = 0?
-54/11
Factor 5*f**5 - 30*f**4 + 65*f**3 - 60*f**2 + 20*f.
5*f*(f - 2)**2*(f - 1)**2
Factor -2*q**2/9 - 1214*q/3 + 7292/9.
-2*(q - 2)*(q + 1823)/9
Let -10*b**4/13 + 206*b**3/13 + 8334*b**2/13 - 177950*b/13 - 72500/13 = 0. What is b?
-29, -2/5, 25
Factor 5*q**2 + 420*q + 1215.
5*(q + 3)*(q + 81)
Factor 5*w**3 - 400*w**2 - 405*w.
5*w*(w - 81)*(w + 1)
Suppose 5*g**3 - 30*g**2 + 25*g = 0. Calculate g.
0, 1, 5
Determine v so that -4*v**4/5 - 5716*v**3/5 - 2724624*v**2/5 - 434119616*v/5 - 431400704/5 = 0.
-476, -1
Factor -i**3/2 - 46*i**2 + 583*i/2 - 245.
-(i - 5)*(i - 1)*(i + 98)/2
Factor -f**4 + 7*f**3 - 15*f**2 + 9*f.
-f*(f - 3)**2*(f - 1)
Factor 6*j**5 - 1562*j**4 + 135198*j**3 - 3860190*j**2 - 2634012*j.
2*j*(j - 87)**3*(3*j + 2)
Determine s so that -s**4/5 + 21*s**3/5 + 3*s**2/5 - 13*s + 42/5 = 0.
-2, 1, 21
Factor -70*r**2/9 + 46*r/3 + 4/9.
-2*(r - 2)*(35*r + 1)/9
Factor 3*s**2 - 42*s + 72.
3*(s - 12)*(s - 2)
Factor -u**3 - 16*u**2 - 28*u.
-u*(u + 2)*(u + 14)
Factor -q**2 + 3757*q.
-q*(q - 3757)
Factor 2*k**3 + 187*k**2 + 90*k - 279.
(k - 1)*(k + 93)*(2*k + 3)
Solve 5*w**3 + 220*w**2 - 455*w + 230 = 0 for w.
-46, 1
Factor w**5/5 - 664*w**4/5 - 1331*w**3/5 - 666*w**2/5.
w**2*(w - 666)*(w + 1)**2/5
Find t such that -2*t**3 - 92*t**2 - 640*t - 1216 = 0.
-38, -4
Suppose 5*z**3 - 50*z**2 + 65*z + 120 = 0. Calculate z.
-1, 3, 8
Suppose -4*q**5 + 32*q**4 - 72*q**3 + 16*q**2 + 76*q - 48 = 0. Calculate q.
-1, 1, 3, 4
Let -b**2 - 95*b - 364 = 0. What is b?
-91, -4
Let 2*i**2/3 + 32*i - 98/3 = 0. Calculate i.
-49, 1
Factor -3*l**3/5 + 561*l**2/5 - 6786*l/5.
-3*l*(l - 174)*(l - 13)/5
Determine s so that -8*s**2/11 + 474*s/11 - 118/11 = 0.
1/4, 59
Find s, given that -2*s**5/11 - 56*s