.
2*(b - 278)*(b + 1)/9
Solve 275*v**4 - 160*v**3 - 17580*v**2 + 10240*v - 1280 = 0 for v.
-8, 2/11, 2/5, 8
Find r, given that r**5 - 82*r**4 + 2508*r**3 - 33880*r**2 + 170368*r = 0.
0, 16, 22
Factor -8*a**3 + 36*a**2 + 96*a + 52.
-4*(a + 1)**2*(2*a - 13)
Factor -3*q**4 - 21*q**3 + 132*q**2.
-3*q**2*(q - 4)*(q + 11)
Solve 6*n**5 - 33*n**4 + 27*n**3 + 42*n**2 - 24*n = 0 for n.
-1, 0, 1/2, 2, 4
Find t, given that -3*t**5 + 45*t**4 + 417*t**3 + 951*t**2 + 846*t + 264 = 0.
-4, -1, 22
Factor 15*q**4 + 125*q**3 - 1770*q**2 + 1120*q.
5*q*(q - 7)*(q + 16)*(3*q - 2)
Determine s so that -s**2 - 2387*s + 2388 = 0.
-2388, 1
Factor 3*w**2 - 750*w + 46875.
3*(w - 125)**2
Find f, given that 2*f**5/3 + 2*f**4 - 2*f**3 - 22*f**2/3 - 4*f = 0.
-3, -1, 0, 2
Let 2*s**2/5 + 10*s + 48/5 = 0. Calculate s.
-24, -1
Factor g**4 + 123*g**3/5 - 10*g**2.
g**2*(g + 25)*(5*g - 2)/5
What is u in -3*u**3/2 + 2257*u**2 - 6010*u + 3004 = 0?
2/3, 2, 1502
Let -2*y**3/11 + 188*y**2/11 + 978*y/11 + 108 = 0. Calculate y.
-3, -2, 99
Factor -5*s**2 + 915*s - 5310.
-5*(s - 177)*(s - 6)
Determine t so that -4*t**5/5 - 3*t**4/5 + t**3/5 = 0.
-1, 0, 1/4
What is i in i**2 - 67*i - 68 = 0?
-1, 68
Solve -10*g**5 - 12*g**4 + 98*g**3 + 60*g**2 - 232*g - 48 = 0 for g.
-3, -2, -1/5, 2
Suppose y**3/7 + 13*y**2/7 - 68*y/7 = 0. Calculate y.
-17, 0, 4
Factor 2*t**4/15 + 12*t**3 + 3866*t**2/15 - 552*t + 4232/15.
2*(t - 1)**2*(t + 46)**2/15
Factor 343*w**5/8 + 1519*w**4/8 + 1981*w**3/8 + 673*w**2/8 + 11*w + 1/2.
(w + 2)**2*(7*w + 1)**3/8
Solve -2*a**2/5 + 2984*a/5 - 1113032/5 = 0 for a.
746
Solve 231*z**4 + 144*z**3 - 564*z**2 + 144*z = 0 for z.
-2, 0, 2/7, 12/11
Factor 76*w**3/7 + 44*w**2 - 52*w - 20/7.
4*(w - 1)*(w + 5)*(19*w + 1)/7
Suppose -14*f**2 + 44*f + 48 = 0. Calculate f.
-6/7, 4
Let 5*g**5 - 300*g**4 + 5305*g**3 - 11330*g**2 - 283140*g - 266200 = 0. What is g?
-5, -1, 22
Factor -k**3 - 52*k**2 + 107*k - 54.
-(k - 1)**2*(k + 54)
Factor -4*u**3 - 48*u**2 + 108*u + 1944.
-4*(u - 6)*(u + 9)**2
Solve c**2/7 - 32*c/7 - 68/7 = 0 for c.
-2, 34
Factor -3*o**3/2 + 270*o**2 + 1101*o/2 - 819.
-3*(o - 182)*(o - 1)*(o + 3)/2
Determine x, given that -x**3 - 279*x**2/2 - 687*x/2 - 137 = 0.
-137, -2, -1/2
Find s such that 3*s**2 + 45*s - 102 = 0.
-17, 2
Find v such that 3*v**4/8 + 3*v**3/4 - 45*v**2/8 - 12*v - 6 = 0.
-4, -1, 4
What is f in -3*f**4 + 240*f**3 - 4554*f**2 - 9840*f - 5043 = 0?
-1, 41
Factor i**5 + 26*i**4 - 114*i**3 - 648*i**2 + 3753*i - 4698.
(i - 3)**3*(i + 6)*(i + 29)
Let -62*s**3/3 - 128*s**2/3 - 8*s/3 = 0. Calculate s.
-2, -2/31, 0
Determine d so that -d**3/4 + d/4 = 0.
-1, 0, 1
Find l such that -15*l**5 + 130*l**4 - 335*l**3 + 320*l**2 - 100*l = 0.
0, 2/3, 1, 2, 5
Factor -2*a**4/9 + 22*a**3/9 - 76*a**2/9 + 80*a/9.
-2*a*(a - 5)*(a - 4)*(a - 2)/9
Factor 2*a**2/3 - 112*a - 680/3.
2*(a - 170)*(a + 2)/3
Factor -s**2/6 + 1095*s/2 - 1642/3.
-(s - 3284)*(s - 1)/6
Factor 4*z**2/7 + 8*z + 28.
4*(z + 7)**2/7
Determine m so that -12*m**4 + 328*m**3 - 720*m**2 + 504*m - 100 = 0.
1/3, 1, 25
Suppose h**5 - 6*h**4 - 58*h**3 + 272*h**2 + 945*h - 2450 = 0. What is h?
-5, 2, 7
Determine k so that -7*k**5 + 9*k**4 + 40*k**3 - 12*k**2 = 0.
-2, 0, 2/7, 3
Find t, given that 5*t**4 - 10*t**3 - 15*t**2 + 20*t + 20 = 0.
-1, 2
Let 2*j**4/11 - 12*j**3/11 + 4*j + 30/11 = 0. Calculate j.
-1, 3, 5
Factor 3*z**4/8 - 3*z**3.
3*z**3*(z - 8)/8
Suppose 2*g**5/5 + 18*g**4/5 + 42*g**3/5 + 38*g**2/5 + 12*g/5 = 0. Calculate g.
-6, -1, 0
Factor -2*i**3/11 + 62*i**2 + 684*i/11.
-2*i*(i - 342)*(i + 1)/11
What is w in -4*w**3 - 16*w**2 + 12*w + 72 = 0?
-3, 2
Solve 3*b**2/7 - 36*b/7 = 0 for b.
0, 12
What is b in -2*b**3/11 + 7354*b**2/11 = 0?
0, 3677
Factor 2*j**4 + 44*j**3 + 320*j**2 + 768*j.
2*j*(j + 6)*(j + 8)**2
Factor -2*u**3/11 + 30*u**2/11 - 112*u/11 + 120/11.
-2*(u - 10)*(u - 3)*(u - 2)/11
Factor -w**4/5 - 4*w**3/5 - 2*w**2/5 + 4*w/5 + 3/5.
-(w - 1)*(w + 1)**2*(w + 3)/5
What is i in 4*i**5/9 - 40*i**4/9 + 52*i**3/9 + 128*i**2/9 - 272*i/9 + 128/9 = 0?
-2, 1, 2, 8
Factor -2*o**5/7 + 16*o**4/7 - 30*o**3/7.
-2*o**3*(o - 5)*(o - 3)/7
Suppose -4*n**4 - 64*n**3 + 140*n**2 - 72*n = 0. Calculate n.
-18, 0, 1
Factor -2*v**3/9 - 190*v**2/9 - 374*v/9 - 62/3.
-2*(v + 1)**2*(v + 93)/9
Determine c, given that 2*c**4/3 + 44*c**3/3 - 2*c**2 - 128*c/3 + 88/3 = 0.
-22, -2, 1
Let 2*y**4 + 12*y**3 + 24*y**2 + 20*y + 6 = 0. Calculate y.
-3, -1
Find y such that -y**5/6 + 13*y**4/6 - 49*y**3/6 + 79*y**2/6 - 29*y/3 + 8/3 = 0.
1, 2, 8
Factor 2*f**2/5 - 8/5.
2*(f - 2)*(f + 2)/5
Solve -2*s**2/7 - 74*s/7 + 88 = 0.
-44, 7
Suppose m**4 - 7*m**2 - 6*m = 0. What is m?
-2, -1, 0, 3
Factor -4*v**3/7 - 60*v**2/7 + 148*v/7 + 204/7.
-4*(v - 3)*(v + 1)*(v + 17)/7
Factor -5*h**2 + 15*h.
-5*h*(h - 3)
Factor -5*v**3 - 675*v**2 - 30375*v - 455625.
-5*(v + 45)**3
Factor 5*a**4 - 125*a**3 + 570*a**2 + 2660*a + 1960.
5*(a - 14)**2*(a + 1)*(a + 2)
Solve 5*z**3/2 - 21*z**2/2 - 21*z/2 + 5/2 = 0 for z.
-1, 1/5, 5
Determine k so that 2*k**4 + 1544*k**3 + 397836*k**2 + 34345480*k + 33949186 = 0.
-257, -1
Factor -92*u**2/5 - 926*u/5 - 12.
-2*(u + 10)*(46*u + 3)/5
Find f such that -f**5/3 - 283*f**4/3 - 19880*f**3/3 + 20164*f**2/3 = 0.
-142, 0, 1
Determine g so that -5*g**4 - 15*g**3 - 10*g**2 = 0.
-2, -1, 0
Suppose -8*y**4/7 - 15266*y**3/7 - 34320*y**2/7 - 22874*y/7 - 3812/7 = 0. Calculate y.
-1906, -1, -1/4
Suppose 22*z**5/3 + 650*z**4/9 + 2228*z**3/9 + 3112*z**2/9 + 1552*z/9 + 64/3 = 0. What is z?
-4, -3, -2, -2/3, -2/11
Determine f, given that -9*f**5 + 507*f**4/7 - 1341*f**3/7 + 1149*f**2/7 + 72*f/7 - 108/7 = 0.
-2/7, 1/3, 2, 3
Determine t, given that -2*t**4/5 - 2*t**3/5 + 2*t**2 - 6*t/5 = 0.
-3, 0, 1
Find z, given that -z**2/3 - 50*z/3 + 17 = 0.
-51, 1
Factor 4*h**2 - 808*h + 40804.
4*(h - 101)**2
Factor -2*q**3/11 + 118*q**2/11 + 2*q/11 - 118/11.
-2*(q - 59)*(q - 1)*(q + 1)/11
Factor -2*m**2 - 72*m - 198.
-2*(m + 3)*(m + 33)
Determine q so that -3*q**3/7 - 59*q**2/7 - 38*q/7 = 0.
-19, -2/3, 0
Let 4*b**5 + 455*b**4 + 11938*b**3 - 56821*b**2 + 69148*b - 13924 = 0. What is b?
-59, 1/4, 2
Find s, given that -4*s**3 - 764*s**2 - 2972*s + 3740 = 0.
-187, -5, 1
What is d in -5*d**4 - 15*d**3 + 20*d = 0?
-2, 0, 1
Factor -g**2 + 155*g/3 - 152/3.
-(g - 1)*(3*g - 152)/3
Factor 7*c**2/4 - 8525*c/2 - 1218.
(c - 2436)*(7*c + 2)/4
Find a, given that 3*a**5 - 99*a**4 + 534*a**3 + 4626*a**2 + 7239*a + 3249 = 0.
-3, -1, 19
Factor 2*k**4/5 + 222*k**3/5 + 768*k**2 - 139264*k/5.
2*k*(k - 17)*(k + 64)**2/5
Find u, given that -u**4 + 4*u**3 + 3*u**2 - 14*u + 8 = 0.
-2, 1, 4
Solve 10*l**2 - 7456*l + 7446 = 0.
1, 3723/5
What is s in -45*s**2/4 + 1685*s/2 + 375/4 = 0?
-1/9, 75
Solve 60*n**4 - 3244*n**3 + 43948*n**2 - 2484*n - 5832 = 0.
-1/3, 2/5, 27
Factor 2*g**4 - 24*g**2 - 32*g.
2*g*(g - 4)*(g + 2)**2
Find b such that 3*b**5 + 12*b**4 + 6*b**3 - 12*b**2 - 9*b = 0.
-3, -1, 0, 1
Let 4*y**2 + 184*y + 960 = 0. Calculate y.
-40, -6
Factor -4*h**4/5 + 992*h**3/5 - 82656*h**2/5 + 2366848*h/5 - 4410944/5.
-4*(h - 82)**3*(h - 2)/5
Suppose -5*j**3 + 1415*j**2 - 96480*j - 518400 = 0. What is j?
-5, 144
What is i in 3*i**3 + 480*i**2 - 3*i - 480 = 0?
-160, -1, 1
Factor 2*f**4 - 460*f**3 + 27354*f**2 - 103960*f + 102152.
2*(f - 113)**2*(f - 2)**2
Determine z, given that 3*z**2 + 18*z + 15 = 0.
-5, -1
Suppose -4*z**3/5 - 2*z**2/5 + 16*z/5 + 8/5 = 0. What is z?
-2, -1/2, 2
Determine i, given that 2*i**2 - 138*i = 0.
0, 69
Factor b**3/5 - 48*b**2/5 - 103*b/5 + 30.
(b - 50)*(b - 1)*(b + 3)/5
Solve 2*u**4 + 6*u**3 - 36*u**2 = 0 for u.
-6, 0, 3
Factor -z**4/2 - 205*z**3 - 43237*z**2/2 - 124230*z - 183618.
-(z + 3)**2*(z + 202)**2/2
Factor -2*z**4/11 - 24*z**3/11 + 56*z**2/11.
-2*z**2*(z - 2)*(z + 14)/11
Let -2*b**5 - 30*b**4 - 110*b**3 - 90*b**2 + 112*b + 120 = 0. Calculate b.
-10, -3, -2, -1, 1
What is q in 2*q**4 - 18*q**3 + 26*q**2 + 90*q - 100 = 0?
-2, 1, 5
Suppose -3*g**4 + 186*g**3 - 2880*g**2 - 186*g + 2883 = 0. What is g?
-1, 1, 31
Find m such that m**2 - 528*m + 69696 = 0.
264
Suppose -6*d**2/25 - 118*d/25 + 8/5 = 0. What is d?
-20, 1/3
Factor -10*v**2 - 2082*v + 1672.
-2*(v + 209)*(5*v - 4)
Let -1344189*r**3 + 184943*r**2 + 3008*r/3 + 4/3 = 0. Calculate r.
-2/759, 1/7
Factor 3*r**2/5 - 54*r/5 + 243/5.
3*(r - 9)**2/5
Determine b so that 3*b**4 - 2*b**3 - 19*b**2 - 6*b = 0.
-2, -1/3, 0, 3
Suppose g**