 2
Solve -5*l**4 + 10*l**3 + 60*l**2 - 90*l - 135 = 0 for l.
-3, -1, 3
Find x, given that -3*x**5 + 343*x**4/5 - 603*x**3/5 + 317*x**2/5 - 42*x/5 = 0.
0, 1/5, 2/3, 1, 21
Solve 2*p**2/9 - 14*p/3 + 40/9 = 0 for p.
1, 20
Let 3*b**2 - 2675*b - 892 = 0. Calculate b.
-1/3, 892
Let -i**2/2 + 25*i/2 + 13 = 0. Calculate i.
-1, 26
Factor 2*w**2/3 + 43*w/2 + 16/3.
(w + 32)*(4*w + 1)/6
Factor -3*j**4 - 102*j**3 + 1224*j**2 - 4128*j + 4224.
-3*(j - 4)**2*(j - 2)*(j + 44)
Find l, given that 3*l**5/4 - 15*l**4/4 + 9*l**3/4 + 15*l**2/4 - 3*l = 0.
-1, 0, 1, 4
Solve 4*p**4/3 - 130*p**3/3 - 70*p**2/3 + 130*p/3 + 22 = 0.
-1, -1/2, 1, 33
Solve 2*p**4 + 118*p**3 + 1266*p**2 + 3122*p - 4508 = 0.
-46, -7, 1
Determine a so that 2486*a**2 + 4974*a + 4 = 0.
-2, -1/1243
Factor -45*w**2/4 + 813*w/2 - 54.
-3*(w - 36)*(15*w - 2)/4
Let 2*i**2/9 - 320*i/3 + 12800 = 0. What is i?
240
Solve 6*v**5/5 - 159*v**4/5 + 219*v**3/5 + 30*v**2 = 0.
-1/2, 0, 2, 25
Factor -x**3 + 68*x**2 + 139*x + 70.
-(x - 70)*(x + 1)**2
Let 3*v**4/4 + 21*v**3/4 + 9*v**2/2 - 21*v - 30 = 0. Calculate v.
-5, -2, 2
Factor 3*b**4/4 - 15*b**3/4 - 6*b**2 + 9*b.
3*b*(b - 6)*(b - 1)*(b + 2)/4
Find n such that -2*n**5 - 14*n**4 - 18*n**3 + 38*n**2 + 44*n - 48 = 0.
-4, -3, -2, 1
Factor 20*b**3 - 23*b**2 + 3*b.
b*(b - 1)*(20*b - 3)
Factor 2*m**4/5 + 4*m**3/5 - 14*m**2/5 + 8*m/5.
2*m*(m - 1)**2*(m + 4)/5
Factor v**4/6 - 7*v**3/6 - v**2 + 12*v.
v*(v - 6)*(v - 4)*(v + 3)/6
Factor -5*a**5 + 215*a**4 - 1170*a**3 + 2260*a**2 - 1480*a.
-5*a*(a - 37)*(a - 2)**3
Find r, given that 5*r**5 + 1680*r**4 + 3345*r**3 + 1670*r**2 = 0.
-334, -1, 0
Factor -2*y**5/3 + 452*y**4/3 - 26426*y**3/3 + 33448*y**2 - 32856*y.
-2*y*(y - 111)**2*(y - 2)**2/3
Find h such that 12*h**4 - 20*h**3 - 164*h**2 - 172*h - 40 = 0.
-2, -1, -1/3, 5
Factor 4*y**5 + 4*y**4 - 12*y**3 - 4*y**2 + 8*y.
4*y*(y - 1)**2*(y + 1)*(y + 2)
Solve -3*h**2 + 5211*h = 0.
0, 1737
Determine s so that -s**3/5 + 13*s**2/5 - 56*s/5 + 16 = 0.
4, 5
Let 18*u**4 - 140*u**3 + 274*u**2 - 112*u - 40 = 0. Calculate u.
-2/9, 1, 2, 5
Find v, given that -3*v**3/5 + 141*v**2/5 - 1848*v/5 + 4356/5 = 0.
3, 22
Suppose 3*h**3/2 - 195*h**2 - 396*h = 0. Calculate h.
-2, 0, 132
Factor -2*b**4/7 + 8*b**3/7 + 10*b**2/7.
-2*b**2*(b - 5)*(b + 1)/7
Factor -b**2/3 - 820*b/3 - 168100/3.
-(b + 410)**2/3
Determine d, given that -d**4/3 + 22*d**3/3 - 20*d**2 + 58*d/3 - 19/3 = 0.
1, 19
Factor d**3 + 557*d**2 + 77283*d - 77841.
(d - 1)*(d + 279)**2
Suppose 3*a**2 - 7260*a + 4392300 = 0. What is a?
1210
Factor 2*s**4/7 + 22*s**3/7 - 218*s**2/7 - 34*s.
2*s*(s - 7)*(s + 1)*(s + 17)/7
Suppose -2*z**3/11 - 20*z**2/11 + 48*z/11 = 0. Calculate z.
-12, 0, 2
Factor -4*k**3 + 12*k**2 + 24*k - 32.
-4*(k - 4)*(k - 1)*(k + 2)
Factor -2*c**4 + 34*c**3 + 36*c**2.
-2*c**2*(c - 18)*(c + 1)
Let -z**5/2 - 325*z**4/2 - 21125*z**3 - 1373125*z**2 - 89253125*z/2 - 1160290625/2 = 0. What is z?
-65
Factor c**2/12 + 417*c/4 + 625/6.
(c + 1)*(c + 1250)/12
What is h in h**3/2 + 5*h**2/2 - 13*h/2 + 7/2 = 0?
-7, 1
Factor u**2/3 - 25*u/3 - 26/3.
(u - 26)*(u + 1)/3
Determine n so that n**3/3 - 4*n/3 = 0.
-2, 0, 2
Find o such that 2*o**4/7 - 12*o**3/7 - 18*o**2/7 + 4*o = 0.
-2, 0, 1, 7
Factor -l**4/2 + 7*l**3 + 16*l**2.
-l**2*(l - 16)*(l + 2)/2
Find i, given that i**4 + 78*i**3 + 1357*i**2 - 6396*i + 6724 = 0.
-41, 2
Find m such that -8*m**4/21 - 1738*m**3/21 - 31246*m**2/7 + 10246*m/3 + 23762/21 = 0.
-109, -1/4, 1
Factor 14*a**3 - a**2/3 - 14*a + 1/3.
(a - 1)*(a + 1)*(42*a - 1)/3
Suppose 2*f**2/13 + 216*f/13 + 424/13 = 0. What is f?
-106, -2
Factor q**2/7 - 34*q/7 + 145/7.
(q - 29)*(q - 5)/7
Factor 4*h**5 + 12*h**4 - 4*h**3 - 12*h**2.
4*h**2*(h - 1)*(h + 1)*(h + 3)
Factor -3*g**3/4 + 75*g**2/2 + 321*g/4 - 117.
-3*(g - 52)*(g - 1)*(g + 3)/4
Factor -5*x**3 + 3345*x**2 + 13440*x + 13460.
-5*(x - 673)*(x + 2)**2
Factor f**3/2 - 29*f**2/4 - 81*f/2 - 171/4.
(f - 19)*(f + 3)*(2*f + 3)/4
Factor -2*h**3 + 110*h**2 - 104*h - 216.
-2*(h - 54)*(h - 2)*(h + 1)
Determine d, given that -2*d**5 - 6*d**4 - 4*d**3 = 0.
-2, -1, 0
Factor -3*c**2 + 75*c + 252.
-3*(c - 28)*(c + 3)
Factor -w**4 - 26*w**3 - 149*w**2 - 316*w - 228.
-(w + 2)**2*(w + 3)*(w + 19)
Factor 4*o**4 - 64*o**3 - 304*o**2 - 320*o.
4*o*(o - 20)*(o + 2)**2
Factor -2*p**3/23 - 124*p**2/23 + 520*p/23 - 528/23.
-2*(p - 2)**2*(p + 66)/23
Solve -v**5 + 9*v**4 + 6*v**3 - 62*v**2 + 75*v - 27 = 0 for v.
-3, 1, 9
Factor 2*a**2 - 292*a + 10658.
2*(a - 73)**2
Solve -k**2/5 + 28*k/5 + 29/5 = 0.
-1, 29
Determine k, given that -8*k**5 - 76*k**4 - 248*k**3 - 288*k**2 + 108 = 0.
-3, -1, 1/2
Suppose 2*g**2/5 - 94*g/5 - 468 = 0. What is g?
-18, 65
Let -420*b**5 - 785*b**4 + 230*b**3 + 260*b**2 + 40*b = 0. Calculate b.
-2, -2/7, -1/4, 0, 2/3
Solve t**5/6 - 2*t**4/3 + t**3/6 + 5*t**2/3 - 2*t/3 - 4/3 = 0 for t.
-1, 2
Let 2*q**2/5 + 192*q/5 + 344 = 0. Calculate q.
-86, -10
Solve 2*p**2 - 656*p/7 - 768/7 = 0.
-8/7, 48
Solve -449*z**2/2 + 225*z - 1/2 = 0.
1/449, 1
Determine g so that -5*g**4 - 35*g**3/3 + 20*g/3 = 0.
-2, -1, 0, 2/3
Suppose -2*u**2/9 - 16*u/9 + 70/3 = 0. Calculate u.
-15, 7
Suppose 3*j**5/7 + 15*j**4/7 + 3*j**3 + 9*j**2/7 = 0. What is j?
-3, -1, 0
Factor y**4/3 + 6*y**3 + 11*y**2 + 16*y/3.
y*(y + 1)**2*(y + 16)/3
Let -4*h**2 + 808*h - 40804 = 0. What is h?
101
Find s such that 9*s**4/8 + 105*s**3/4 - 279*s**2/2 + 207*s - 84 = 0.
-28, 2/3, 2
Let -5*k**5 - 53*k**4/2 - 55*k**3/2 - 6*k**2 = 0. What is k?
-4, -1, -3/10, 0
Let z**5/5 - 2*z**4/5 - 4*z**3/5 + 2*z**2/5 + 3*z/5 = 0. What is z?
-1, 0, 1, 3
Suppose 19*h**3 + 75*h**2 - 4*h = 0. Calculate h.
-4, 0, 1/19
Determine r, given that -68*r**2/9 - 3394*r/9 + 100/3 = 0.
-50, 3/34
Solve -2*f**4/13 - 68*f**3/13 + 70*f**2/13 = 0.
-35, 0, 1
Factor 4308*k**2/5 + 8*k/5.
4*k*(1077*k + 2)/5
Find v such that v**5/9 - 7*v**4/9 + 13*v**3/9 - v**2/9 - 14*v/9 + 8/9 = 0.
-1, 1, 2, 4
Factor -65*c**4 + 135*c**3 - 10*c**2.
-5*c**2*(c - 2)*(13*c - 1)
Let -f**2/8 - 93*f/4 - 185/8 = 0. What is f?
-185, -1
Find n such that 7*n**4 - 100*n**3 + 441*n**2 - 608*n + 140 = 0.
2/7, 2, 5, 7
Let -5*u**5 + 35*u**4 - 30*u**3 = 0. What is u?
0, 1, 6
What is f in -2*f**4 - 38*f**3 - 152*f**2 - 168*f = 0?
-14, -3, -2, 0
Factor -2*a**3 + 70*a**2 - 248*a.
-2*a*(a - 31)*(a - 4)
Suppose 4*w**4 + 28*w**3 + 48*w**2 - 16*w - 64 = 0. Calculate w.
-4, -2, 1
Factor 3*t**3/2 + 609*t**2 + 115995*t/2 - 786258.
3*(t - 12)*(t + 209)**2/2
Find h such that -75*h**5/4 - 3315*h**4/2 - 165063*h**3/4 - 204942*h**2 - 292623*h - 127308 = 0.
-206/5, -4, -1
Factor -3*c**3 + 45*c**2 + 216*c + 228.
-3*(c - 19)*(c + 2)**2
Factor 4*f**2/5 - 1916*f/5 - 5784/5.
4*(f - 482)*(f + 3)/5
Factor -6*t**2/5 + 38*t/5 - 12/5.
-2*(t - 6)*(3*t - 1)/5
Solve -2*o**3 + 102*o**2 - 1734*o + 9826 = 0.
17
Suppose 5*f**2 - 65*f - 70 = 0. What is f?
-1, 14
Suppose 8*c**2 - 188*c + 92 = 0. Calculate c.
1/2, 23
Let g**5 + 19*g**4 + 54*g**3 - 382*g**2 - 55*g + 363 = 0. What is g?
-11, -1, 1, 3
Solve -50*d**4/7 + 410*d**3/7 - 548*d**2/7 - 648*d/7 - 144/7 = 0 for d.
-2/5, 3, 6
Determine s, given that -5*s**4/2 - 71*s**3/4 - 157*s**2/4 - 105*s/4 - 9/4 = 0.
-3, -1, -1/10
Factor 3*c**4 + 102*c**3 + 1287*c**2 + 7140*c + 14700.
3*(c + 7)**2*(c + 10)**2
Let -3*q**3 + 180*q**2 + 561*q + 378 = 0. Calculate q.
-2, -1, 63
Factor 4*z**5 + 100*z**4 + 760*z**3 + 1720*z**2 + 1540*z + 484.
4*(z + 1)**3*(z + 11)**2
What is u in 3*u**2 + 1974*u - 1977 = 0?
-659, 1
Let -s**4/3 - 13*s**3/3 - 4*s**2 = 0. What is s?
-12, -1, 0
Determine t, given that -2*t**3/3 - 94*t**2/3 + 100*t/3 + 64 = 0.
-48, -1, 2
Factor -y**2 - 492*y - 60516.
-(y + 246)**2
Determine m so that 4*m**5/7 + 8*m**4/7 - 8*m**3/7 - 16*m**2/7 + 4*m/7 + 8/7 = 0.
-2, -1, 1
Suppose -m**4 - 9*m**3 - 28*m**2 - 36*m - 16 = 0. Calculate m.
-4, -2, -1
Determine a, given that 5*a**3 - 630*a**2 - 5360*a = 0.
-8, 0, 134
Factor 5*q**4 - 205*q**3 - 210*q**2.
5*q**2*(q - 42)*(q + 1)
Find w, given that -w**4 + 44*w**3 - 432*w**2 - 3888*w + 58320 = 0.
-10, 18
Factor 3*l**3 + 192*l**2 + 537*l - 732.
3*(l - 1)*(l + 4)*(l + 61)
Solve 3*n**2 + 312*n + 8112 = 0 for n.
-52
What is o in -2*o**3/9 + 36*o**2 - 1944*o + 34992 = 0?
54
Factor -16*q**2 + 12*q.
-4*q*(4*q - 3)
Determine p so that 4*p**4 - 16*p**3 - 844*p**2 - 776*p + 1632 = 0.
-12, -2, 1, 17
Factor -2*p**2 + 28*p + 30.
-2*(p - 15)*(p + 1)
Let -4*v**4 - 52*v**3 +