*t/7 - 104976/7.
-(t + 1)*(t + 324)**2/7
Factor -75*g**4/4 - 90*g**3 - 63*g**2 - 12*g.
-3*g*(g + 4)*(5*g + 2)**2/4
What is f in 3*f**5 - 39*f**4/2 + 45*f**3 - 48*f**2 + 24*f - 9/2 = 0?
1/2, 1, 3
Determine q so that 4*q**2/3 - 58*q/9 - 10/9 = 0.
-1/6, 5
Determine f so that 26*f**3/3 + 8*f**2/3 - 70*f/3 + 12 = 0.
-2, 9/13, 1
Determine o, given that -2*o**4/15 + 388*o**3/15 - 230*o**2/3 + 764*o/15 = 0.
0, 1, 2, 191
Suppose 5*v**2/6 + 115*v/6 - 125/3 = 0. Calculate v.
-25, 2
Suppose -2*l**2 + 4*l + 6 = 0. What is l?
-1, 3
Suppose -2*z**5/25 - 284*z**4/25 + 286*z**3/25 = 0. What is z?
-143, 0, 1
Factor 5*j**4 + 160*j**3 + 1830*j**2 + 8800*j + 15125.
5*(j + 5)**2*(j + 11)**2
Factor -s**3/7 + 72*s**2/7 - 275*s/7 + 204/7.
-(s - 68)*(s - 3)*(s - 1)/7
Let -y**4 + 71*y**3 + 72*y**2 = 0. What is y?
-1, 0, 72
Let -3*h**3/4 + 81*h**2 - 2016*h - 9408 = 0. What is h?
-4, 56
Factor 12*b**5 + 92*b**4 + 264*b**3 + 360*b**2 + 236*b + 60.
4*(b + 1)**3*(b + 3)*(3*b + 5)
Solve -782*t**2 + 772*t + 10 = 0.
-5/391, 1
Factor m**2/4 + 13*m/4 - 7/2.
(m - 1)*(m + 14)/4
Let -20*x**5 - 25*x**4 + 175*x**3 + 225*x**2 + 45*x = 0. What is x?
-3, -1, -1/4, 0, 3
Factor -5*q**4 + 15*q**3 + 25*q**2 - 15*q - 20.
-5*(q - 4)*(q - 1)*(q + 1)**2
Solve -d**3/8 - 5*d**2/4 + 13*d/2 - 7 = 0 for d.
-14, 2
Factor t**3/9 + 262*t**2/3 + 51220*t/3 - 310472/9.
(t - 2)*(t + 394)**2/9
Factor 2*d**4 - 2*d**3 - 14*d**2 + 26*d - 12.
2*(d - 2)*(d - 1)**2*(d + 3)
Find a such that a**2/5 - 246*a/5 - 247/5 = 0.
-1, 247
Factor -w**5/4 + 58*w**4 - 3364*w**3.
-w**3*(w - 116)**2/4
Factor -4*s**3 - 38*s**2 + 116*s - 48.
-2*(s - 2)*(s + 12)*(2*s - 1)
Let -j**2/2 - 19*j/2 - 30 = 0. What is j?
-15, -4
Let 2*j**2/9 - 10*j/3 - 500/9 = 0. Calculate j.
-10, 25
Solve -5*p**5 - 40*p**4 - 70*p**3 + 40*p**2 + 75*p = 0.
-5, -3, -1, 0, 1
Find k such that -3*k**5/7 + 39*k**4 - 1308*k**3/7 + 1536*k**2/7 + 1056*k/7 - 2064/7 = 0.
-1, 2, 86
Determine w, given that 3*w**2 - 186*w + 531 = 0.
3, 59
Let -5*h**3 - 2580*h**2 + 2585*h = 0. Calculate h.
-517, 0, 1
Let -20*h**5 + 156*h**4 - 476*h**3/5 - 668*h**2/5 + 576*h/5 - 112/5 = 0. Calculate h.
-1, 2/5, 1, 7
Factor -3*k**2/5 + 45*k - 852/5.
-3*(k - 71)*(k - 4)/5
Suppose 2*p**2/11 - 48*p/11 = 0. What is p?
0, 24
Find n such that -3*n**5 + 6*n**4 + 150*n**3 - 300*n**2 - 1875*n + 3750 = 0.
-5, 2, 5
Suppose -3*y**4 - 2940*y**3 - 717354*y**2 + 1443540*y - 723243 = 0. What is y?
-491, 1
Find p, given that -18*p**4 - 112*p**3 - 114*p**2 - 20*p = 0.
-5, -1, -2/9, 0
Find s such that -2*s**4 - 28*s**3 - 138*s**2 - 280*s - 200 = 0.
-5, -2
Let s**2/5 + 43*s/5 + 42/5 = 0. Calculate s.
-42, -1
Factor -3*c**4 + 135*c**3 - 507*c**2 + 621*c - 246.
-3*(c - 41)*(c - 2)*(c - 1)**2
Determine p, given that -4*p**5 + 284*p**4 - 4600*p**3 - 15544*p**2 - 16132*p - 5476 = 0.
-1, 37
Factor -3*o**2/4 - 3453*o - 3974403.
-3*(o + 2302)**2/4
Factor 3*r**4 - 24*r**3 + 51*r**2 - 30*r.
3*r*(r - 5)*(r - 2)*(r - 1)
Factor -x**3/3 - 5*x**2/3 + x/3 + 5/3.
-(x - 1)*(x + 1)*(x + 5)/3
Let -o**5 + 36*o**4 - 32*o**3 - 7018*o**2 + 20769*o - 13754 = 0. Calculate o.
-13, 1, 2, 23
Factor -5*t**2 - 2490*t - 310005.
-5*(t + 249)**2
Suppose -2*c**2/11 + 96*c/11 - 184/11 = 0. Calculate c.
2, 46
Factor -o**2/3 - 15*o + 48.
-(o - 3)*(o + 48)/3
Determine u, given that 2*u**4/3 + 88*u**3/3 + 186*u**2 - 216*u = 0.
-36, -9, 0, 1
Find m, given that 125*m**4 + 400*m**3 + 360*m**2 + 128*m + 16 = 0.
-2, -2/5
Solve 2*s**2/7 - 92*s/7 - 94/7 = 0 for s.
-1, 47
Factor -4*j**2 - 780*j - 8784.
-4*(j + 12)*(j + 183)
Factor 5*l**2 + 16*l - 16.
(l + 4)*(5*l - 4)
What is a in -5*a**2 + 6800*a - 6795 = 0?
1, 1359
Solve b**2 + 23*b/5 + 12/5 = 0 for b.
-4, -3/5
Solve k**2/7 + 40*k/7 + 256/7 = 0 for k.
-32, -8
Determine x, given that x**5/3 - 2*x**4/3 - 13*x**3/3 + 26*x**2/3 + 12*x - 24 = 0.
-3, -2, 2, 3
Determine y so that y**2 - 2102*y + 1104601 = 0.
1051
Solve l**5/3 - 65*l**4/3 + 42*l**3 = 0 for l.
0, 2, 63
Factor -3*n**2 + 180*n - 672.
-3*(n - 56)*(n - 4)
Factor -3*s**5 - 9*s**4 + 3*s**3 + 33*s**2 + 36*s + 12.
-3*(s - 2)*(s + 1)**3*(s + 2)
Let 5*w**3 + 380*w**2 + 1775*w = 0. Calculate w.
-71, -5, 0
Find n, given that -2*n**5/7 - 10*n**4/7 + 2*n**3/7 + 10*n**2/7 = 0.
-5, -1, 0, 1
Factor 4*g**5/5 + 4*g**4/5 - 8*g**3/5 - 8*g**2/5 + 4*g/5 + 4/5.
4*(g - 1)**2*(g + 1)**3/5
Suppose v**2/11 + v/11 - 6/11 = 0. What is v?
-3, 2
Determine r, given that -5*r**4/3 + 25*r**3/3 - 40*r**2/3 + 20*r/3 = 0.
0, 1, 2
Let 5*u**5 + 65*u**4 - 10*u**3 - 130*u**2 + 5*u + 65 = 0. Calculate u.
-13, -1, 1
Suppose -n**4/3 - 67*n**3/3 + 46*n**2 = 0. What is n?
-69, 0, 2
Find t, given that t**3 - 10*t**2 - 7*t + 196 = 0.
-4, 7
Factor -2*t**2/5 - 2*t - 12/5.
-2*(t + 2)*(t + 3)/5
Suppose -a**4 - 178*a**3 - 7553*a**2 + 33124*a = 0. What is a?
-91, 0, 4
Suppose u**5/2 - 7*u**4/2 + 5*u**3 + 10*u**2 - 28*u + 16 = 0. Calculate u.
-2, 1, 2, 4
Find g, given that 3*g**2/5 + 618*g/5 = 0.
-206, 0
Factor j**3/2 + 17*j**2/2.
j**2*(j + 17)/2
Let 4*h**3/7 + 948*h**2/7 + 74892*h/7 + 1972156/7 = 0. What is h?
-79
Factor 2*o**5/3 - 90*o**4 + 3082*o**3 - 8978*o**2/3.
2*o**2*(o - 67)**2*(o - 1)/3
Determine r, given that 5*r**4 - 170*r**3 + 1965*r**2 - 8840*r + 13520 = 0.
4, 13
Factor h**2/2 - 2*h + 3/2.
(h - 3)*(h - 1)/2
Factor 4*t**3 - 492*t**2 + 20172*t - 275684.
4*(t - 41)**3
Factor 3*x**2/4 + 3*x/4 - 63/2.
3*(x - 6)*(x + 7)/4
Factor -o**4/3 + 8*o**3/3 + 10*o**2/3 - 8*o/3 - 3.
-(o - 9)*(o - 1)*(o + 1)**2/3
Suppose -2*f**5/15 + 2*f**3/3 - 8*f/15 = 0. Calculate f.
-2, -1, 0, 1, 2
Suppose 3*s**3/4 + 639*s**2/2 + 45369*s + 2147466 = 0. Calculate s.
-142
Solve 4*t**4 + 28*t**3 + 44*t**2 - 28*t - 48 = 0 for t.
-4, -3, -1, 1
Find l, given that l**3/2 - 3*l**2/2 = 0.
0, 3
Factor 5*r**2 - 20*r - 300.
5*(r - 10)*(r + 6)
Solve 10*u**4 - 45*u**3 + 30*u**2 + 55*u - 30 = 0.
-1, 1/2, 2, 3
Factor -32*s**4/7 + 80*s**3/7 - 66*s**2/7 + 20*s/7 - 2/7.
-2*(s - 1)**2*(4*s - 1)**2/7
What is l in -2*l**3/9 + 238*l**2/9 - 470*l/9 + 26 = 0?
1, 117
Suppose 768*m**4 - 2208*m**3 + 2115*m**2 - 675*m = 0. What is m?
0, 15/16, 1
Factor -a**4/10 + 339*a**3/5 - 113557*a**2/10 - 231198*a/5 - 232562/5.
-(a - 341)**2*(a + 2)**2/10
Solve 2*c**4/5 - 2*c**3 - 4*c**2 + 8*c + 48/5 = 0.
-2, -1, 2, 6
Factor 6*y**3/7 - 57*y**2/7 + 9*y/7 + 162/7.
3*(y - 9)*(y - 2)*(2*y + 3)/7
Factor j**3/2 + 419*j**2/2 + 832*j + 830.
(j + 2)**2*(j + 415)/2
Factor i**4/5 - 4*i**3/5 + 3*i**2/5 + 4*i/5 - 4/5.
(i - 2)**2*(i - 1)*(i + 1)/5
Factor -6*k**2/5 - 246*k.
-6*k*(k + 205)/5
Factor -3*s**3 - 33*s**2.
-3*s**2*(s + 11)
Factor 2*m**2/9 - 2546*m/9 - 2548/9.
2*(m - 1274)*(m + 1)/9
What is f in -2*f**4/19 + 3748*f**3/19 - 1770866*f**2/19 + 13987536*f/19 - 27855648/19 = 0?
4, 933
Determine r so that -3*r**3/5 + 603*r**2/5 - 32301*r/5 + 197589/5 = 0.
7, 97
Factor n**4 - n**3 - 5*n**2 - 3*n.
n*(n - 3)*(n + 1)**2
Let 2*v**2/9 - 580*v/9 + 42050/9 = 0. Calculate v.
145
Solve -5*j**2 - 85*j - 210 = 0.
-14, -3
Suppose n**5 + 9*n**4/4 - 17*n**3/2 - 17*n**2/4 + 15*n/2 + 2 = 0. What is n?
-4, -1, -1/4, 1, 2
Find o such that 15*o**4 - 95*o**3 + 80*o**2 + 100*o = 0.
-2/3, 0, 2, 5
Factor h**2 + 2*h - 48.
(h - 6)*(h + 8)
What is u in u**2/4 + 5*u - 261/4 = 0?
-29, 9
Determine d, given that -5*d**5 - 10*d**4 + 10*d**2 + 5*d = 0.
-1, 0, 1
Factor c**4/6 + 1810*c**3/3.
c**3*(c + 3620)/6
Solve -54*w**5/5 + 39*w**4/5 + 69*w**3 - 129*w**2 + 369*w/5 - 54/5 = 0.
-3, 2/9, 1, 3/2
Solve -10*h**4 - 94*h**3/3 - 4*h**2 = 0 for h.
-3, -2/15, 0
Solve -3*b**3 - 11*b**2 + 6*b + 8 = 0.
-4, -2/3, 1
Solve -5*p**5 - 55*p**4 - 125*p**3 - 25*p**2 + 130*p + 80 = 0 for p.
-8, -2, -1, 1
Determine y so that -4*y**4/7 - 16*y**3/7 + 624*y**2/7 - 2304*y/7 = 0.
-16, 0, 6
Factor m**2 + 186*m - 376.
(m - 2)*(m + 188)
Find l such that -3*l**5 + 6*l**4 + 36*l**3 + 42*l**2 + 15*l = 0.
-1, 0, 5
Solve -3*x**3 - 2148*x**2 + 2151*x = 0 for x.
-717, 0, 1
Find j, given that 3*j**5/5 - 6*j**3/5 + 3*j/5 = 0.
-1, 0, 1
Factor -3*v**4 + v**3 + 12*v**2 - 4*v.
-v*(v - 2)*(v + 2)*(3*v - 1)
Factor -6*g**4/11 + 196*g**3/11 + 6*g**2.
-2*g**2*(g - 33)*(3*g + 1)/11
Find l, given that -5*l**3 + 35*l**2 + 150*l = 0.
-3, 0, 10
Determine t, given that -t**4 - 2*t**3 + 15*t**2 + 36*t = 0.
-3, 0, 4
Factor -2*x**3 - 4*x**2 + 10*x + 12.
-2*(x - 2)*(x + 1)*(x + 3)
Factor -2*i**3/9 - 8*i**2/9 - 2*i/3.
-2*i*(i + 1)*(i + 3)/9
Find p, given that 