 27*i**4/2 - 45*i**3 - 93*i**2/2 - 63*i/4.
3*i*(i - 21)*(i + 1)**3/4
Find k, given that 40*k**3 - 2766*k**2 + 413*k + 69 = 0.
-1/10, 1/4, 69
Solve 5*z**3/11 - z**2/11 - 14*z/11 - 8/11 = 0 for z.
-1, -4/5, 2
Solve 2*k**5/5 + 6*k**4/5 - 48*k**3/5 - 56*k**2/5 + 96*k/5 = 0.
-6, -2, 0, 1, 4
Factor -147*u**5/2 - 7581*u**4/2 - 131745*u**3/2 - 795651*u**2/2 - 211548*u - 29478.
-3*(u + 17)**3*(7*u + 2)**2/2
Let 2*a**3/7 + 114*a**2/7 - 480*a/7 - 73600/7 = 0. What is a?
-40, 23
Suppose 9*u**3 - 372*u**2 + 825*u - 234 = 0. Calculate u.
1/3, 2, 39
Suppose i**5 + 49*i**4/2 + 143*i**3/2 - 1414*i**2 - 4802*i + 2744 = 0. Calculate i.
-14, -4, 1/2, 7
Solve -32*w**4/13 + 368*w**3/13 - 162*w**2/13 - 152*w/13 - 22/13 = 0 for w.
-1/4, 1, 11
Find w such that -w**3/2 + 11*w**2/2 + w/2 - 11/2 = 0.
-1, 1, 11
Factor i**2 + 132*i + 4356.
(i + 66)**2
Factor 3*f**3/4 - 15*f**2/2 + 75*f/4.
3*f*(f - 5)**2/4
Find l such that 4*l**5 - 68*l**4 + 44*l**3 + 308*l**2 + 192*l = 0.
-1, 0, 3, 16
Suppose 2*i**3/9 + 2*i**2/3 - 8*i/9 - 8/3 = 0. Calculate i.
-3, -2, 2
Factor -4*q**2 - 2408*q.
-4*q*(q + 602)
Let -3*t**4/2 + 27*t**3/2 + 96*t**2 + 126*t = 0. What is t?
-3, -2, 0, 14
Determine n, given that 9*n**2 + 591*n + 582 = 0.
-194/3, -1
Factor 28*i**4 - 484*i**3 + 976*i**2 - 240*i.
4*i*(i - 15)*(i - 2)*(7*i - 2)
Find r, given that -r**2 + r = 0.
0, 1
Find t such that -2*t**4/5 - 26*t**3/5 - 66*t**2/5 - 62*t/5 - 4 = 0.
-10, -1
Suppose -2*j**4/19 + 308*j**3/19 - 12162*j**2/19 + 1232*j - 608 = 0. Calculate j.
1, 76
Find s, given that 4*s**4/7 - 16*s**3 + 660*s**2/7 + 1800*s/7 = 0.
-2, 0, 15
Factor 2*p**3 + 5448*p**2 + 4946784*p + 1497226624.
2*(p + 908)**3
Let 4*v**2/3 + 692*v/3 - 1400/3 = 0. What is v?
-175, 2
Find v, given that -3*v**4 - 21*v**3 - 39*v**2 + 9*v + 54 = 0.
-3, -2, 1
Factor -3*i**3/4 - 3*i**2/2 + 21*i/4 - 3.
-3*(i - 1)**2*(i + 4)/4
Find m such that -2*m**4/17 + 54*m**3/17 - 112*m**2/17 - 744*m/17 - 576/17 = 0.
-2, -1, 6, 24
Find s, given that 5*s**2 + 1780*s + 3540 = 0.
-354, -2
Factor 5*i**5 + 105*i**4 + 825*i**3 + 2875*i**2 + 3750*i.
5*i*(i + 5)**3*(i + 6)
Factor 2*l**2/11 + 8*l + 320/11.
2*(l + 4)*(l + 40)/11
Factor -2*m**4 - 14*m**3 - 20*m**2.
-2*m**2*(m + 2)*(m + 5)
Find h, given that 2*h**3 - 1002*h**2 + 126000*h - 125000 = 0.
1, 250
Factor 2*z**5/13 + 38*z**4/13.
2*z**4*(z + 19)/13
Find s, given that -4*s**4 + 33*s**3 - 56*s**2 + 12*s = 0.
0, 1/4, 2, 6
Factor -2*u**2/7 - 26*u/7 - 44/7.
-2*(u + 2)*(u + 11)/7
Factor -4*j**2 + 41656*j - 108451396.
-4*(j - 5207)**2
Factor 2*m**4 - 5*m**3 + m**2 + 2*m.
m*(m - 2)*(m - 1)*(2*m + 1)
Factor -4*o**4 - 16*o**3 + 212*o**2 + 816*o - 1008.
-4*(o - 7)*(o - 1)*(o + 6)**2
Solve -2*a**5/5 - 16*a**4/3 - 242*a**3/15 - 24*a**2/5 = 0.
-9, -4, -1/3, 0
Factor 3*m**3 - 96*m**2 + 525*m.
3*m*(m - 25)*(m - 7)
Find k, given that 3*k**2/2 + 402*k - 2466 = 0.
-274, 6
Determine u, given that -u**3/7 - 20*u**2/7 - 17*u/7 + 38/7 = 0.
-19, -2, 1
Find i such that -3*i**4 - 75*i**3 + 252*i**2 = 0.
-28, 0, 3
Factor 2*l**3/3 + 60*l**2 + 178*l/3.
2*l*(l + 1)*(l + 89)/3
Factor 7*n**2/4 + 141*n/2 + 20.
(n + 40)*(7*n + 2)/4
Suppose 2*v**2/3 + 308*v/3 = 0. Calculate v.
-154, 0
Find z such that 2*z**2/7 + 18*z + 360/7 = 0.
-60, -3
Let 2*s**4/9 + 82*s**3/3 + 80*s**2 = 0. What is s?
-120, -3, 0
Solve -2*i**5/7 - 310*i**4/7 + 6*i**3/7 + 934*i**2/7 + 620*i/7 = 0.
-155, -1, 0, 2
Solve -2*k**2/3 + 34*k - 196/3 = 0 for k.
2, 49
Factor 4*y**2/5 + 532*y/5 + 17689/5.
(2*y + 133)**2/5
Factor 5*r**4 + 5*r**3.
5*r**3*(r + 1)
Factor -5*c**4 - 238*c**3 - 369*c**2 - 44*c + 92.
-(c + 1)**2*(c + 46)*(5*c - 2)
Let 2*s**5/11 - 28*s**4/11 - 18*s**3/11 + 772*s**2/11 + 1960*s/11 + 1200/11 = 0. What is s?
-3, -2, -1, 10
Let -3*c**3/2 - 10089*c**2/2 - 8487369*c/2 - 8477283/2 = 0. What is c?
-1681, -1
Factor 2*p**2 - 364*p.
2*p*(p - 182)
Factor 5*f**2 + 195*f + 1450.
5*(f + 10)*(f + 29)
Solve 25*s**3/6 - 15*s**2/2 + 4*s - 2/3 = 0 for s.
2/5, 1
Determine h, given that 2*h**2/3 - 7888*h/3 + 7777568/3 = 0.
1972
Find g, given that 4*g**3 - 76*g**2 + 176*g + 256 = 0.
-1, 4, 16
What is v in 8*v**5/7 - 246*v**4/7 - 590*v**3/7 - 132*v**2/7 = 0?
-2, -1/4, 0, 33
Factor -2*u**4/15 - 24*u**3/5 - 312*u**2/5 - 1728*u/5 - 3456/5.
-2*(u + 6)**2*(u + 12)**2/15
Factor y**2/3 + 5*y + 26/3.
(y + 2)*(y + 13)/3
Factor u**5/4 - 19*u**4/2 - 42*u**3.
u**3*(u - 42)*(u + 4)/4
Suppose 2*f**3 - 18*f**2 - 50*f + 66 = 0. What is f?
-3, 1, 11
Factor -37*p**4/7 - 68*p**3/7 + 12*p**2/7.
-p**2*(p + 2)*(37*p - 6)/7
Find c such that -2*c**4/9 - 542*c**3/9 - 5460*c**2 - 167400*c - 162000 = 0.
-90, -1
Solve -2*p**4/13 + 34*p**2/13 + 72*p/13 + 40/13 = 0.
-2, -1, 5
Factor -11*o**3/6 + 89*o**2/6 + 106*o/3 - 10/3.
-(o - 10)*(o + 2)*(11*o - 1)/6
Suppose 4*m**4/3 - 37*m**3/3 + 23*m**2 - 43*m/3 + 7/3 = 0. Calculate m.
1/4, 1, 7
Find n such that -2*n**5/15 - 5938*n**4/5 - 59496532*n**3/15 - 88299454316*n**2/15 - 16368498945006*n/5 + 49193855803682/15 = 0.
-2227, 1
Determine q, given that 10*q**3 - 544*q**2 - 334*q + 220 = 0.
-1, 2/5, 55
Find k, given that 4*k**4 + 52*k**3 - 420*k**2 + 684*k = 0.
-19, 0, 3
Determine c so that 9*c**3 - 84*c**2 - 93*c = 0.
-1, 0, 31/3
Factor l**4/2 + 25*l**3 + 48*l**2.
l**2*(l + 2)*(l + 48)/2
Factor 2*f**4/13 - 324*f**3/13 + 17496*f**2/13 - 314928*f/13.
2*f*(f - 54)**3/13
Factor 5*a**4 - 85*a**3 + 400*a**2 - 320*a.
5*a*(a - 8)**2*(a - 1)
Factor 5*y**2 + 25*y.
5*y*(y + 5)
Determine w, given that -w**5/4 - 7*w**4 + w**3/4 + 7*w**2 = 0.
-28, -1, 0, 1
Factor -h**2/4 + 19*h + 957/4.
-(h - 87)*(h + 11)/4
Find t such that -159*t**2/2 - 183*t/2 - 12 = 0.
-1, -8/53
Let -2*z**2/7 - 144*z/7 - 2014/7 = 0. Calculate z.
-53, -19
Suppose -2*l**2/11 - 146*l - 1604/11 = 0. Calculate l.
-802, -1
Determine t so that 5*t**3 + 590*t**2 + 3915*t + 3330 = 0.
-111, -6, -1
Suppose -c**5/3 - 20*c**4/3 - 42*c**3 - 328*c**2/3 - 353*c/3 - 44 = 0. What is c?
-11, -4, -3, -1
Factor -l**5 + 3*l**4 - l**3 - 3*l**2 + 2*l.
-l*(l - 2)*(l - 1)**2*(l + 1)
Factor -s**3/3 - 2*s**2/3 + s/3 + 2/3.
-(s - 1)*(s + 1)*(s + 2)/3
Let 5*k**2 - 200*k + 195 = 0. What is k?
1, 39
Find b, given that 2*b**4 - 124*b**3 + 1920*b**2 + 124*b - 1922 = 0.
-1, 1, 31
Find q, given that 2*q**5 - 10*q**4 - 4*q**3 + 48*q**2 = 0.
-2, 0, 3, 4
Factor -4*r**3 - 6492*r**2 - 3512172*r - 633361684.
-4*(r + 541)**3
Solve t**5/3 + 4*t**4/3 - 17*t**3/3 - 8*t**2 + 12*t = 0 for t.
-6, -2, 0, 1, 3
Factor -4*x**3/7 - 172*x**2/7 - 340*x - 10404/7.
-4*(x + 9)*(x + 17)**2/7
Factor 2*x**4/9 + 38*x**3/9 - 2*x**2/9 - 38*x/9.
2*x*(x - 1)*(x + 1)*(x + 19)/9
Find x such that -4*x**2 + 256*x + 8448 = 0.
-24, 88
Suppose 4*a**2 - 264*a + 260 = 0. What is a?
1, 65
Suppose -3*w**2/2 - 5055*w - 10107/2 = 0. Calculate w.
-3369, -1
Factor r**2/5 - 13*r + 64/5.
(r - 64)*(r - 1)/5
Factor o**2 + 216*o + 11664.
(o + 108)**2
Let 10*a**3 - 265*a**2 - 430*a + 280 = 0. Calculate a.
-2, 1/2, 28
What is x in 2*x**2 - 730*x - 732 = 0?
-1, 366
Suppose 3*y**2 + 4914*y + 2012283 = 0. What is y?
-819
Find d, given that -5*d**4 + 5*d**3 + 35*d**2 - 5*d - 30 = 0.
-2, -1, 1, 3
Factor z**3 - 14*z**2 + 25*z - 12.
(z - 12)*(z - 1)**2
Let -5547*f**3/2 - 27219*f**2/2 + 1284*f - 30 = 0. Calculate f.
-5, 2/43
Find w such that 3*w**2/5 - 3*w/5 - 66 = 0.
-10, 11
Factor -3*y**2 - 6558*y - 3583947.
-3*(y + 1093)**2
Factor 39*s**4 + 423*s**3 - 66*s**2.
3*s**2*(s + 11)*(13*s - 2)
Factor v**2 - 357*v - 1080.
(v - 360)*(v + 3)
Find t, given that 6*t**5 - 88*t**4 - 40*t**3 + 148*t**2 + 34*t - 60 = 0.
-1, 2/3, 1, 15
Factor 3*v**4 - 11724*v**3 + 11454348*v**2.
3*v**2*(v - 1954)**2
Factor y**4/7 + 10*y**3/7 + 13*y**2/7 - 60*y/7 + 36/7.
(y - 1)**2*(y + 6)**2/7
Factor -2*h**2/3 - 26*h + 164/3.
-2*(h - 2)*(h + 41)/3
Factor i**2 - 103*i/4 - 13/2.
(i - 26)*(4*i + 1)/4
Solve -b**3/4 + 27*b**2/4 + 57*b/4 + 29/4 = 0.
-1, 29
Find p such that 3*p**4/7 - 12*p**3/7 = 0.
0, 4
Factor -2*a**3/5 + 192*a**2/5 - 182*a.
-2*a*(a - 91)*(a - 5)/5
Factor 2*b**3/3 + 10*b**2/3 + 16*b/3 + 8/3.
2*(b + 1)*(b + 2)**2/3
Factor -4*g**2 - 6816*g - 13616.
-4*(g + 2)*(g + 1702)
Find h, given that -4*h**5/5 - 2*h**4 + 12*h**3/5 + 16*h**2/5 - 8*h/5 - 6/5 = 0.
-3, -1, -1/2, 1
Determine a so that 10*a**4 - 54*a**3 + 90*a**2 - 58*a + 12 = 0.
2/5, 1, 3
Factor -4*z**2/5 + 104*z/5 - 96.
-4*(z - 20)*(z - 6)/5
Solve -l**4/2 + 13*l**3/2 - 30*l**2 + 56*l - 32 = 0.
1, 4
F