8/3, 1
Solve -3*f**5 + 3*f**3 = 0.
-1, 0, 1
Suppose 3*l**2 - 129*l - 6882 = 0. Calculate l.
-31, 74
Factor -2*w**2/7 - 36*w/7 - 162/7.
-2*(w + 9)**2/7
Factor 2*d**2/5 + 364*d/5 - 1488/5.
2*(d - 4)*(d + 186)/5
Determine n so that -n**5/4 - 5*n**4/2 + n**3/4 + 5*n**2/2 = 0.
-10, -1, 0, 1
Solve v**2/4 + 78*v - 477 = 0 for v.
-318, 6
Find n, given that 3*n**5/2 + 45*n**4 - 9*n**3 - 282*n**2 - 729*n/2 - 135 = 0.
-30, -1, 3
Let 4*j**3 + 736*j**2 - 1484*j + 744 = 0. Calculate j.
-186, 1
Suppose -4*o**5 + 148*o**4 + 4*o**3 - 148*o**2 = 0. Calculate o.
-1, 0, 1, 37
Suppose 24*g**5/17 - 56*g**4/17 + 38*g**3/17 - 4*g**2/17 - 2*g/17 = 0. Calculate g.
-1/6, 0, 1/2, 1
Determine h, given that -h**2/4 - 771*h - 594441 = 0.
-1542
Factor 33*f**3 + 2*f**2 - 132*f - 8.
(f - 2)*(f + 2)*(33*f + 2)
Factor -5*p**3/6 - 35*p**2/6 + 20*p/3.
-5*p*(p - 1)*(p + 8)/6
Suppose 5*y**2 + 185*y + 1350 = 0. Calculate y.
-27, -10
Factor v**2 - 550*v + 75625.
(v - 275)**2
Find a such that -4*a**2 + 4*a + 168 = 0.
-6, 7
Factor 5*a**2 - 60*a + 100.
5*(a - 10)*(a - 2)
Find q such that 2*q**2/3 + 2*q/3 = 0.
-1, 0
Factor 3*m**2/7 + 114*m/7 - 135.
3*(m - 7)*(m + 45)/7
Factor -106*c**2/7 - 1384*c/7 - 78/7.
-2*(c + 13)*(53*c + 3)/7
Factor q**4/2 - 12*q**3 + 117*q**2/2 - 83*q + 36.
(q - 18)*(q - 4)*(q - 1)**2/2
Find a, given that 5*a**4 + 70*a**3 + 245*a**2 + 180*a = 0.
-9, -4, -1, 0
Factor 2*w**5/3 + 2*w**4/3 - 20*w**3.
2*w**3*(w - 5)*(w + 6)/3
Determine b, given that -5*b**3 + 11775*b**2 - 9243375*b + 2418683125 = 0.
785
Solve -5*r**5 + 5*r**4 + 105*r**3 - 205*r**2 + 100*r = 0.
-5, 0, 1, 4
Find u, given that 3*u**5 = 0.
0
Factor -5*x**2 + 5*x.
-5*x*(x - 1)
Let 3*i**4/7 + 60*i**3/7 + 237*i**2/7 + 180*i/7 = 0. What is i?
-15, -4, -1, 0
Find n such that 2*n**4/3 + 8*n**3 + 74*n**2/3 + 4*n - 112/3 = 0.
-7, -4, -2, 1
Solve 5*p**5 - 45*p**4 + 160*p**3 - 280*p**2 + 240*p - 80 = 0.
1, 2
Factor -2*i**2/9 + 716*i/9 - 710/3.
-2*(i - 355)*(i - 3)/9
Determine r, given that -r**3/9 + 3*r**2 - 65*r/3 + 169/9 = 0.
1, 13
Factor -12*b**2/5 + 1269*b + 1587/5.
-3*(b - 529)*(4*b + 1)/5
Determine k so that -5*k**5 - 345*k**4 - 5775*k**3 + 6125*k**2 = 0.
-35, 0, 1
Factor -3*j**4 - 51*j**3 + 1347*j**2 + 1395*j.
-3*j*(j - 15)*(j + 1)*(j + 31)
Factor h**3 - 30*h**2 + 273*h - 676.
(h - 13)**2*(h - 4)
Let -4*w**3 + 20*w**2 + 16*w - 80 = 0. Calculate w.
-2, 2, 5
Find s, given that -4*s**5 - 8*s**4 + 12*s**3 + 32*s**2 + 16*s = 0.
-2, -1, 0, 2
What is l in 3*l**2 + 147*l = 0?
-49, 0
Factor f**5 - 13*f**4 + 57*f**3 - 95*f**2 + 50*f.
f*(f - 5)**2*(f - 2)*(f - 1)
Determine f so that -5*f**5 + 285*f**4 - 3850*f**3 + 9100*f**2 + 1080*f - 12160 = 0.
-1, 2, 16, 38
Solve g**3 + 13*g**2 + 32*g + 20 = 0 for g.
-10, -2, -1
Factor 9*y**4 - 12*y**3 - 27*y**2 + 18*y + 24.
3*(y - 2)*(y + 1)**2*(3*y - 4)
Determine c so that -16*c**5/3 - 88*c**4 + 261*c**3 + 440*c**2/3 + 19*c = 0.
-19, -1/4, 0, 3
Suppose -o**3/2 - 19*o**2/2 + 33*o = 0. Calculate o.
-22, 0, 3
Determine u so that -2*u**2 + 34*u + 168 = 0.
-4, 21
Let -7*b**4/2 - 17*b**3/6 + 25*b**2/6 + 17*b/6 - 2/3 = 0. What is b?
-1, 4/21, 1
Factor 4*v**4/5 + 4*v**3 - 32*v**2/5 - 48*v/5.
4*v*(v - 2)*(v + 1)*(v + 6)/5
Determine q, given that -3*q**2 + 132*q - 1152 = 0.
12, 32
Find y, given that -4*y**4 + 80*y**3 - 568*y**2 + 1680*y - 1764 = 0.
3, 7
Solve -10*z**4 + 346*z**3 - 204*z**2 = 0.
0, 3/5, 34
Factor 5*q**4 - 5760*q**3 + 2488320*q**2 - 477757440*q + 34398535680.
5*(q - 288)**4
Determine c so that -6*c**4 + 3033*c**3/2 - 2265*c**2/2 - 378*c = 0.
-1/4, 0, 1, 252
Find f, given that -25*f**4/4 - 115*f**3/4 - 14*f**2 + 4*f = 0.
-4, -4/5, 0, 1/5
Factor 5*p**2 + 5890*p + 1734605.
5*(p + 589)**2
Suppose 2*r**2/17 + 22*r/17 + 36/17 = 0. What is r?
-9, -2
Let d**2/5 - 36*d/5 + 68/5 = 0. What is d?
2, 34
Determine d so that -2*d**2 - 178*d = 0.
-89, 0
Suppose -n**3 + 64*n**2 + n - 64 = 0. Calculate n.
-1, 1, 64
Determine f, given that -8*f**5 + 1078*f**4/3 + 3700*f**3/9 - 1730*f**2/3 + 584*f/3 - 184/9 = 0.
-2, 1/4, 1/3, 46
Factor v**5/4 + 19*v**4/4 + 45*v**3/2 + 83*v**2/2 + 133*v/4 + 39/4.
(v + 1)**3*(v + 3)*(v + 13)/4
Find v, given that 2*v**3/9 + 86*v**2/9 - 92*v/9 - 176/9 = 0.
-44, -1, 2
Determine o so that 4*o**4 - 34720*o**3 + 113013600*o**2 - 163493008000*o + 88694956840000 = 0.
2170
Let 68*p**5 + 332*p**4 - 40*p**3 = 0. Calculate p.
-5, 0, 2/17
Find g such that -125*g**3 + 150*g**2 - 60*g + 8 = 0.
2/5
Solve -28*m**4/5 - 204*m**3/5 + 1176*m**2/5 + 352*m/5 = 0.
-11, -2/7, 0, 4
Find v, given that -v**4 - 258*v**3 - 22440*v**2 - 679150*v - 1842375 = 0.
-85, -3
Factor -s**4 - 71*s**3 - 1827*s**2 - 19845*s - 74088.
-(s + 8)*(s + 21)**3
Solve c**5/6 + 4*c**4/3 + 4*c**3 + 17*c**2/3 + 23*c/6 + 1 = 0 for c.
-3, -2, -1
Factor -r**4/2 + 7*r**3.
-r**3*(r - 14)/2
Determine r, given that 4*r**3 + 16*r**2 + 20*r + 8 = 0.
-2, -1
Suppose 3*l**4 - 126*l**3 + 1911*l**2 - 12348*l + 28812 = 0. Calculate l.
7, 14
Factor 5*q**3 + 20*q**2.
5*q**2*(q + 4)
Factor t**5 + 53*t**4 - 165*t**3 + 167*t**2 - 56*t.
t*(t - 1)**3*(t + 56)
Determine t so that 25*t**2/6 + 155*t/3 + 961/6 = 0.
-31/5
Find j, given that -j**2 - j = 0.
-1, 0
Factor 3*r**2/4 + 843*r/8 + 1251/8.
3*(r + 139)*(2*r + 3)/8
Solve -2*w**2/9 + 788*w/9 - 77618/9 = 0 for w.
197
Suppose -456*w**4/7 - 2522*w**3/7 + 1350*w**2/7 + 56*w - 24/7 = 0. What is w?
-6, -1/4, 1/19, 2/3
Suppose 2*y**2/3 - 6224*y/3 + 4842272/3 = 0. Calculate y.
1556
Factor -39*h**3 - 279*h**2 - 42*h.
-3*h*(h + 7)*(13*h + 2)
Suppose g**5/3 + 2*g**4/3 - 4*g**3/3 - 2*g**2/3 + g = 0. Calculate g.
-3, -1, 0, 1
Let -224*s**4 - 764*s**3 - 200*s**2 = 0. Calculate s.
-25/8, -2/7, 0
Determine z, given that -4*z**2 + 36*z + 208 = 0.
-4, 13
Factor -203456*m**4 - 19040*m**3 + 2868*m**2 - 72*m.
-4*m*(11*m + 2)*(68*m - 3)**2
Determine r, given that -3*r**5 + 24*r**4 + 60*r**3 = 0.
-2, 0, 10
Factor 2*y**3/11 - 2*y**2/11 - 452*y/11 - 448/11.
2*(y - 16)*(y + 1)*(y + 14)/11
Factor 4*a**4 - 40*a**3.
4*a**3*(a - 10)
Factor -l**5/4 + 3*l**4/2 - 3*l**3 + 2*l**2.
-l**2*(l - 2)**3/4
Find h, given that 27*h**3 + 588*h**2 - 1428*h + 288 = 0.
-24, 2/9, 2
Determine k, given that -k**3/2 - 55*k**2/2 - 783*k/2 - 729/2 = 0.
-27, -1
Solve a**2 + 6*a = 0.
-6, 0
Factor -2*k**2/11 + 592*k/11 - 43808/11.
-2*(k - 148)**2/11
Determine h so that 30*h**2 + 686*h - 92 = 0.
-23, 2/15
Factor -2*q**3 + 30*q**2 - 88*q.
-2*q*(q - 11)*(q - 4)
Suppose -p**4/2 + 2*p**3 + p**2/2 - 8*p + 6 = 0. What is p?
-2, 1, 2, 3
Factor h**4/4 + 5*h**3 + 9*h**2.
h**2*(h + 2)*(h + 18)/4
Factor -2*s**2 - 566*s - 564.
-2*(s + 1)*(s + 282)
Determine q, given that 2*q**4 - 4*q**2 + 2 = 0.
-1, 1
Factor -2*r**3 + 52*r**2 - 440*r + 1200.
-2*(r - 10)**2*(r - 6)
Factor -y**4 + 4*y**3 + 91*y**2 + 110*y - 600.
-(y - 12)*(y - 2)*(y + 5)**2
Factor 4*b**5/7 + 208*b**4/7 - 428*b**3/7 + 216*b**2/7.
4*b**2*(b - 1)**2*(b + 54)/7
Suppose -5*k**4 - 75*k**3 - 285*k**2 + 175*k + 1470 = 0. What is k?
-7, -3, 2
Factor 5*j**5 + 55*j**4 + 215*j**3 + 365*j**2 + 280*j + 80.
5*(j + 1)**3*(j + 4)**2
Factor -a**2/2 + 30*a - 450.
-(a - 30)**2/2
Suppose 2*r**4/3 + 8*r**3/9 - 2*r**2/9 - 4*r/9 = 0. What is r?
-1, 0, 2/3
Suppose 21*d**5 - 4374*d**4 + 14226*d**3 - 16644*d**2 + 8001*d - 1230 = 0. Calculate d.
2/7, 1, 205
Factor y**3 + 13*y**2 + 40*y.
y*(y + 5)*(y + 8)
Determine s, given that -s**2 + 7*s - 6 = 0.
1, 6
Suppose d**4/6 - 4*d**3/3 - 5*d**2/3 + 4*d/3 + 3/2 = 0. What is d?
-1, 1, 9
Factor -20*s**3 - 2705*s**2.
-5*s**2*(4*s + 541)
Solve r**3/8 - 19*r**2/4 + 361*r/8 = 0 for r.
0, 19
Solve 7*v**3/5 + 79*v**2/5 + 92*v/5 + 4 = 0 for v.
-10, -1, -2/7
Let 3*v**5/4 - 2*v**4 + v**3/4 + 2*v**2 - v = 0. Calculate v.
-1, 0, 2/3, 1, 2
Determine x, given that -9*x**4 - 624*x**3 - 1983*x**2 - 180*x + 1188 = 0.
-66, -3, -1, 2/3
What is y in y**5 - y**4 - 12*y**3 + 28*y**2 - 16*y = 0?
-4, 0, 1, 2
Determine j so that -5*j**5 + 10*j**4 + 20*j**3 - 10*j**2 - 15*j = 0.
-1, 0, 1, 3
Factor -2*s**2/3 - 14*s + 44/3.
-2*(s - 1)*(s + 22)/3
Factor -s**2/11 - 94*s/11 - 2209/11.
-(s + 47)**2/11
Factor 2*j**2 - 696*j + 60552.
2*(j - 174)**2
Suppose 3*z**2 + 90*z + 312 = 0. What is z?
-26, -4
Factor -b**4/3 - 2*b**3 + b**2 + 16*b/3 - 4.
-(b - 1)**2*(b + 2)*(b + 6)/3
Determine h, given that 2*h**4/5 + 6*h**3/5 - 12*h**2/5 - 56*h/5 - 48/5 = 0.
-2, 3
Factor -h**5 - 4*h**4 - h**3 + 14*h**2 + 20*h + 8.
-(h - 