*m**2 - 93*m + 54.
-(m - 18)*(m - 1)**2*(m + 3)
Let -3*a**5 + 114*a**4 - 1503*a**3 + 7644*a**2 - 10140*a = 0. What is a?
0, 2, 10, 13
Factor p**5/2 - 5*p**4/2 - 3*p**3/2 + 17*p**2/2 - 5*p.
p*(p - 5)*(p - 1)**2*(p + 2)/2
Solve -3*w**5/4 + 135*w**4/4 - 261*w**3/4 + 129*w**2/4 = 0 for w.
0, 1, 43
Find o such that -2*o**2 - 4*o + 16 = 0.
-4, 2
Find f such that 2*f**5/9 - 152*f**4/9 + 3176*f**3/9 - 1216*f**2 + 1152*f = 0.
0, 2, 36
Solve 2*s**5/3 - 10*s**4/3 + 2*s**3/3 + 26*s**2/3 - 4*s/3 - 16/3 = 0.
-1, 1, 2, 4
Suppose 3*l**5/8 + 495*l**4/8 + 16335*l**3/4 + 539055*l**2/4 + 17788815*l/8 + 117406179/8 = 0. Calculate l.
-33
Solve 22*i**3/3 - 674*i**2/3 - 248*i/3 = 0 for i.
-4/11, 0, 31
Factor 2*v**3/15 - 16*v**2 + 472*v/15.
2*v*(v - 118)*(v - 2)/15
Factor a**4/2 + 33*a**3 - 68*a**2.
a**2*(a - 2)*(a + 68)/2
Find y such that 2*y**5 + 86*y**4 + 392*y**3 + 448*y**2 - 320*y - 608 = 0.
-38, -2, 1
Factor 2*w**5 + 48*w**4 - 212*w**3 + 328*w**2 - 222*w + 56.
2*(w - 1)**4*(w + 28)
Factor -4*t**3 + 2172*t**2.
-4*t**2*(t - 543)
Find m such that 2*m**2/13 + 72*m/13 + 648/13 = 0.
-18
Find b such that 36*b**4 - 2004*b**3 + 1305*b**2 + 828*b - 165 = 0.
-1/2, 1/6, 1, 55
Let -5*a**5 - 25*a**4 + 35*a**3 + 25*a**2 - 30*a = 0. Calculate a.
-6, -1, 0, 1
Factor 18*x**4 - 147*x**3 + 312*x**2 - 48*x.
3*x*(x - 4)**2*(6*x - 1)
Factor 5*y**3 + 89*y**2 + 367*y - 77.
(y + 7)*(y + 11)*(5*y - 1)
Find w, given that -4*w**2 + 30*w + 16 = 0.
-1/2, 8
Solve 4*j**5 - 8*j**4 - 80*j**3 + 264*j**2 - 180*j = 0 for j.
-5, 0, 1, 3
Find d, given that -5*d**2 - 20*d - 15 = 0.
-3, -1
Determine x, given that -2*x**4 - 88*x**3 - 576*x**2 = 0.
-36, -8, 0
Factor -78*q**2/5 - 4*q/5.
-2*q*(39*q + 2)/5
Solve -x**4/4 - 80*x**3 + x**2/4 + 80*x = 0 for x.
-320, -1, 0, 1
Determine c, given that c**3 - 7*c - 6 = 0.
-2, -1, 3
Determine x, given that -27*x**5/4 + 99*x**4/2 + 147*x**3/4 - 11*x**2/2 - 4*x = 0.
-2/3, -1/3, 0, 1/3, 8
Let -15*y**4 - 115*y**3 - 215*y**2 - 65*y + 50 = 0. What is y?
-5, -2, -1, 1/3
Suppose 15*u**3/4 + 9*u**2/2 + 3*u/4 = 0. Calculate u.
-1, -1/5, 0
Suppose -3*q**4 - 66*q**3 - 261*q**2 - 78*q + 408 = 0. Calculate q.
-17, -4, -2, 1
Factor 35*w**3 - 3090*w**2 + 6900*w - 1720.
5*(w - 86)*(w - 2)*(7*w - 2)
Suppose -2*y**5 + 14*y**3 - 12*y**2 = 0. Calculate y.
-3, 0, 1, 2
Factor 4*r**2 + 208*r + 2704.
4*(r + 26)**2
Factor 2*t**2 + 56*t - 120.
2*(t - 2)*(t + 30)
Factor -5*a**2 + 575*a + 9030.
-5*(a - 129)*(a + 14)
Factor -4*x**2/7 - 320*x/7.
-4*x*(x + 80)/7
Find o such that -o**5 - 4*o**4 - 3*o**3 = 0.
-3, -1, 0
Factor -h**5/8 + 3*h**4/8 + 9*h**3/8 - 27*h**2/8.
-h**2*(h - 3)**2*(h + 3)/8
Solve 2*h**3 - 20*h**2 + 34*h + 56 = 0.
-1, 4, 7
Factor 4*p**3 + 208*p**2/5 - 28*p - 88/5.
4*(p - 1)*(p + 11)*(5*p + 2)/5
Let 12*t**5 + 4*t**4 - 12*t**3 - 4*t**2 = 0. What is t?
-1, -1/3, 0, 1
Let 3*r**4 + 45*r**3/4 + 15*r**2/4 - 45*r/4 - 27/4 = 0. What is r?
-3, -1, -3/4, 1
Solve -112*s**5/15 - 10216*s**4/15 - 4092*s**3/5 - 646*s**2/3 + 904*s/15 + 24 = 0 for s.
-90, -1/2, 2/7
Find d, given that -3*d**4 + 147*d**3 - 990*d**2 - 42108*d + 543048 = 0.
-17, 22
Suppose -4*f**5 - 28*f**4 + 8*f**3 + 56*f**2 - 4*f - 28 = 0. What is f?
-7, -1, 1
Let h**2 - 17*h - 110 = 0. Calculate h.
-5, 22
Factor -85*q**2 - 55*q + 30.
-5*(q + 1)*(17*q - 6)
Factor -5*h**5 - 2255*h**4 - 257615*h**3 - 759365*h**2 - 754880*h - 250880.
-5*(h + 1)**3*(h + 224)**2
Factor -f**2/7 + 39*f/7 - 38/7.
-(f - 38)*(f - 1)/7
Factor -2*k**5/5 - 2*k**4 + 42*k**3/5 - 46*k**2/5 + 16*k/5.
-2*k*(k - 1)**3*(k + 8)/5
Find y, given that -y**4 - 14*y**3 + 39*y**2 + 616*y - 1936 = 0.
-11, 4
Factor 5*b**2 - 3470*b + 602045.
5*(b - 347)**2
Factor -2*d**4 - 82*d**3 - 990*d**2 - 3726*d.
-2*d*(d + 9)**2*(d + 23)
Determine l, given that 99*l**3 - 111*l**2 + 12*l = 0.
0, 4/33, 1
Suppose -m**2/4 - 47*m/4 + 75/2 = 0. What is m?
-50, 3
What is d in 17*d**2 - 2415*d/2 + 71/2 = 0?
1/34, 71
Factor 5*n**3 + 30*n**2 + 40*n.
5*n*(n + 2)*(n + 4)
Factor 2*n**2/5 + 7184*n/5 + 6451232/5.
2*(n + 1796)**2/5
Factor 4*a**5 + 152*a**4 + 684*a**3 + 776*a**2 - 560*a - 1056.
4*(a - 1)*(a + 2)**3*(a + 33)
Suppose -3*h**3/2 + 18*h - 24 = 0. Calculate h.
-4, 2
Find k, given that 4*k**4/3 - 128*k**3/3 - 268*k**2/3 - 136*k/3 = 0.
-1, 0, 34
Factor -w**3/9 - 10*w**2/9 + 7*w/9 + 196/9.
-(w - 4)*(w + 7)**2/9
Suppose 5*g**5 + 35*g**4 - 350*g**3 + 550*g**2 + 345*g - 585 = 0. What is g?
-13, -1, 1, 3
Let 16*l**5 + 56*l**4 + 49*l**3 - 4*l**2 - 11*l + 2 = 0. What is l?
-2, -1, 1/4
Solve 14*b**5 + 923*b**4/2 + 7105*b**3/2 - 8413*b**2/2 - 221*b/2 + 289 = 0.
-17, -1/4, 2/7, 1
Factor -4*n**2 - 984*n - 1952.
-4*(n + 2)*(n + 244)
Factor -3*z**3/5 - 9*z**2/5 + 27*z/5 + 81/5.
-3*(z - 3)*(z + 3)**2/5
Determine l so that 4*l**2 - 28*l = 0.
0, 7
Solve -g**4/4 - 15*g**3/4 - 9*g**2 + g + 12 = 0 for g.
-12, -2, 1
Find z, given that -z**2 + 12274*z - 37662769 = 0.
6137
Factor -3*l**3 - 978*l**2 - 78720*l + 161376.
-3*(l - 2)*(l + 164)**2
Let -5*w**4/6 - 45*w**3/2 - 965*w**2/6 - 195*w/2 + 845/3 = 0. What is w?
-13, -2, 1
Let -2*l**4 - 18*l**3 + 28*l**2 + 72*l - 80 = 0. What is l?
-10, -2, 1, 2
Suppose 2*o**5 - o**4/2 - 29*o**3/2 + 23*o**2/2 + 25*o/2 - 11 = 0. Calculate o.
-11/4, -1, 1, 2
Factor -49*x**2 - 3821*x/3 + 26/3.
-(x + 26)*(147*x - 1)/3
Factor 3*d**2 - 2802*d + 2799.
3*(d - 933)*(d - 1)
Factor 2*l**2/7 - 18*l/7 - 32.
2*(l - 16)*(l + 7)/7
Solve 2*d**3/17 + 30*d**2/17 - 108*d/17 = 0 for d.
-18, 0, 3
Find j, given that -j**2 + 4*j - 4 = 0.
2
Suppose 52*i**3 + 220*i**2 - 576*i - 144 = 0. What is i?
-6, -3/13, 2
Factor q**3 + 41*q**2 - 42*q.
q*(q - 1)*(q + 42)
Factor s**4 - 3*s**3 - 16*s**2 - 12*s.
s*(s - 6)*(s + 1)*(s + 2)
Find v, given that -v**5/2 + 13*v**4/2 - 25*v**3 + 28*v**2 = 0.
0, 2, 4, 7
Factor c**4 - 12*c**3 + 21*c**2 - 10*c.
c*(c - 10)*(c - 1)**2
Factor 2*p**2/3 - 358*p/3 + 352.
2*(p - 176)*(p - 3)/3
Factor y**5 - 30*y**4 + 56*y**3 + 2*y**2 - 57*y + 28.
(y - 28)*(y - 1)**3*(y + 1)
Factor 4*f**5 + 4*f**4 - 8*f**3 - 8*f**2 + 4*f + 4.
4*(f - 1)**2*(f + 1)**3
Factor 4*s**4 + 20*s**3 + 36*s**2 + 28*s + 8.
4*(s + 1)**3*(s + 2)
Determine s so that 2*s**3/3 - 4*s**2 - 10*s - 16/3 = 0.
-1, 8
Factor -4*z**4 - 4*z**3 + 24*z**2 + 16*z - 32.
-4*(z - 2)*(z - 1)*(z + 2)**2
Determine h, given that -3*h**4/2 + 189*h**3 - 5952*h**2 - 189*h + 11907/2 = 0.
-1, 1, 63
Determine h, given that -5*h**2 - 95*h + 210 = 0.
-21, 2
Determine b so that 4*b**4 - 36*b**3 - 4*b**2 + 36*b = 0.
-1, 0, 1, 9
Suppose -25*z**5 + 310*z**4 + 955*z**3 + 320*z**2 - 300*z = 0. Calculate z.
-2, -1, 0, 2/5, 15
Suppose -46*b**2/3 + 88*b/3 + 8/3 = 0. Calculate b.
-2/23, 2
Suppose 3*m**4/2 + 15*m**3 + 36*m**2 + 33*m + 21/2 = 0. What is m?
-7, -1
Suppose 15*d**4 - 51*d**3 + 18*d**2 + 60*d - 24 = 0. Calculate d.
-1, 2/5, 2
Suppose -15*d**5 + 40*d**4 + 15*d**3 = 0. What is d?
-1/3, 0, 3
Factor 486*b**3/11 + 3132*b**2/11 + 120*b + 144/11.
6*(b + 6)*(9*b + 2)**2/11
Factor 4*j**3 + 8*j**2 - 116*j + 168.
4*(j - 3)*(j - 2)*(j + 7)
Factor 2*g**3/11 + 58*g**2/11 - 24*g.
2*g*(g - 4)*(g + 33)/11
Let 2*t**2/3 + 68*t/3 + 416/3 = 0. Calculate t.
-26, -8
Solve 2*l**5/3 + 109*l**4/3 + 260*l**3/3 - 5*l**2/3 - 262*l/3 - 104/3 = 0.
-52, -2, -1, -1/2, 1
Suppose -3*x**3/4 - 87*x**2/4 + 183*x/4 - 93/4 = 0. What is x?
-31, 1
Factor -18*s**2/5 - 7*s/5 + 8/5.
-(2*s - 1)*(9*s + 8)/5
Let 2*n**3/11 + 52*n**2/11 + 210*n/11 - 1800/11 = 0. What is n?
-15, 4
Factor 109*n**2/2 - 437*n/4 + 1/2.
(n - 2)*(218*n - 1)/4
Factor -j**4/8 - 13*j**3/8 - 53*j**2/8 - 71*j/8 - 15/4.
-(j + 1)**2*(j + 5)*(j + 6)/8
Factor -5*a**2 - 7*a - 2.
-(a + 1)*(5*a + 2)
Factor -2*v**4 - 1178*v**3 + 2364*v**2.
-2*v**2*(v - 2)*(v + 591)
What is u in 3*u**3/5 - 93*u**2/5 + 477*u/5 - 135 = 0?
3, 25
Factor -2*h**2 + 648*h - 646.
-2*(h - 323)*(h - 1)
Let 2*d**4 + 236*d**3 - 238*d**2 = 0. What is d?
-119, 0, 1
Let 12*h**5 - 111*h**4 + 327*h**3 - 399*h**2 + 201*h - 30 = 0. What is h?
1/4, 1, 2, 5
What is i in -i**4 + 26*i**3 - 141*i**2 - 364*i - 196 = 0?
-1, 14
Determine f so that f**3/9 + 52*f**2/9 + 172*f/3 + 160 = 0.
-40, -6
Suppose -2*z**5/9 + 4*z**4/9 + 6*z**3 - 112*z**2/9 - 160*z/9 = 0. Calculate z.
-5, -1, 0, 4
Factor -3*k**2 - 21*k - 18.
-3*(k + 1)*(k + 6)
Find o such that -5*o**2/3 - 865*o/3 = 0.
-173, 0
What is o in -o**5 - 320*o**4 + 1290*o**3 - 1940*o**2 + 1295*o - 324 = 0?
-324, 1
What is v in v**4/5 