 c, given that c**3/5 + 137*c**2/5 - 138*c/5 = 0.
-138, 0, 1
Determine j, given that -4*j**3 + 24*j**2 - 20*j = 0.
0, 1, 5
Factor -m**2 - 91*m - 90.
-(m + 1)*(m + 90)
Factor -2*u**2/17 - 48*u/17 + 104/17.
-2*(u - 2)*(u + 26)/17
Let d**5/8 + 9*d**4/8 - 29*d**3/8 - 309*d**2/8 + 35*d + 294 = 0. Calculate d.
-7, -3, 4
Solve -3*z**4/4 + 9*z**3/2 = 0 for z.
0, 6
Factor 5*v**5 + 15*v**4 - 5*v**3 - 55*v**2 - 60*v - 20.
5*(v - 2)*(v + 1)**3*(v + 2)
What is i in 4*i**3 + 164*i**2 + 1760*i + 1600 = 0?
-20, -1
Solve -2*b**2/13 - 426*b/13 - 844/13 = 0.
-211, -2
Factor -5*f**5 - 20*f**4 + 105*f**3.
-5*f**3*(f - 3)*(f + 7)
Factor -h**2/3 + 20*h/3.
-h*(h - 20)/3
Let -2*x**2/11 + 40*x/11 - 192/11 = 0. What is x?
8, 12
What is a in -2*a**4/5 + 6*a**2 - 4*a - 48/5 = 0?
-4, -1, 2, 3
Find q, given that -6*q**5/5 - 36*q**4/5 + 66*q**3/5 + 504*q**2/5 + 696*q/5 + 288/5 = 0.
-6, -2, -1, 4
Factor 55*b**2 - 225*b + 20.
5*(b - 4)*(11*b - 1)
Let -10*z**5 + 5*z**4 + 70*z**3 - 95*z**2 + 30*z = 0. What is z?
-3, 0, 1/2, 1, 2
Find w, given that 4*w**2/5 - 41448*w/5 + 107371044/5 = 0.
5181
Determine w so that 6*w**2/7 - 2556*w/7 + 272214/7 = 0.
213
Factor -h**2 - 300*h - 22500.
-(h + 150)**2
Factor -6*r**5 + 15*r**4 - 12*r**3 + 3*r**2.
-3*r**2*(r - 1)**2*(2*r - 1)
Determine q so that -q**2/4 - 213*q/4 + 215/2 = 0.
-215, 2
Factor -4*x**2 - 196*x - 376.
-4*(x + 2)*(x + 47)
Determine d so that -63*d**5/5 + 213*d**4/5 - 102*d**3/5 - 132*d**2/5 - 24*d/5 = 0.
-1/3, -2/7, 0, 2
Solve z**5/2 - 89*z**4/4 + 225*z**3/2 + 1661*z**2/4 + 109*z - 171 = 0 for z.
-2, -1, 1/2, 9, 38
Suppose -4*n**2/7 + 160*n/7 - 304/7 = 0. Calculate n.
2, 38
Factor 2*t**2/15 - 26*t/15 - 136/15.
2*(t - 17)*(t + 4)/15
Find p, given that -3*p**3 + 198*p**2 - 3267*p = 0.
0, 33
Find x, given that -x**2/2 - 22*x - 42 = 0.
-42, -2
Factor -3*w**4 + 201*w**3 + 204*w**2.
-3*w**2*(w - 68)*(w + 1)
Factor 8*m**4 - 244*m**3 + 2520*m**2 - 9200*m + 4000.
4*(m - 10)**3*(2*m - 1)
Find a, given that 3*a**5 + 9*a**4 + 6*a**3 = 0.
-2, -1, 0
Solve -3*q**2/2 + 10791*q - 38815227/2 = 0 for q.
3597
Suppose 8*j**5/5 - 22*j**4/5 + 18*j**3/5 - 2*j**2/5 - 2*j/5 = 0. Calculate j.
-1/4, 0, 1
Factor -5*o**3 - 195*o**2 + 5*o + 195.
-5*(o - 1)*(o + 1)*(o + 39)
Factor j**5 - 71*j**4 + 1726*j**3 - 15410*j**2 + 25921*j - 12167.
(j - 23)**3*(j - 1)**2
Find y, given that -18*y**5/7 - 507*y**4/7 - 1419*y**3/7 + 201*y**2/7 + 1293*y/7 + 450/7 = 0.
-25, -3, -2/3, -1/2, 1
Factor -5*v**5 - 105*v**4 - 375*v**3 + 1805*v**2 - 2040*v + 720.
-5*(v - 1)**3*(v + 12)**2
Let -2*v**4/13 + 40*v**3/13 - 108*v**2/13 + 8*v - 34/13 = 0. Calculate v.
1, 17
Solve 2*v**4/19 - 84*v**3/19 - 482*v**2/19 + 564*v/19 = 0.
-6, 0, 1, 47
Let 3*m**4 + 252*m**3 + 495*m**2 + 246*m = 0. What is m?
-82, -1, 0
Find n, given that -3*n**4/5 + 18*n**3 - 84*n**2/5 - 18*n + 87/5 = 0.
-1, 1, 29
Factor -63*d**3/2 - 1959*d**2 + 2633*d/2 - 220.
-(3*d - 1)**2*(7*d + 440)/2
Find k such that -7*k**2 - 37*k - 10 = 0.
-5, -2/7
Factor -2*h**2/9 - 92*h/9 - 10.
-2*(h + 1)*(h + 45)/9
Factor c**4/4 + 8*c**3 + 167*c**2/2 + 312*c + 1521/4.
(c + 3)**2*(c + 13)**2/4
What is n in n**5 - 17*n**4 + 45*n**3 - 43*n**2 + 14*n = 0?
0, 1, 14
Suppose 4*z**4/3 - 140*z**3/3 + 1016*z**2/3 - 2128*z/3 + 416 = 0. Calculate z.
1, 2, 6, 26
Find b such that -b**3/8 + 1761*b**2/8 - 1033707*b/8 + 202262003/8 = 0.
587
Let k**4 + 18*k**3 + 48*k**2 + 46*k + 15 = 0. What is k?
-15, -1
Suppose 2*s**2 + 4*s = 0. What is s?
-2, 0
Solve -r**2/3 - 1004*r/3 - 252004/3 = 0.
-502
Determine i, given that i**5/2 - 939*i**4 + 587814*i**3 - 122657188*i**2 = 0.
0, 626
Determine h so that h**3/2 - 3*h**2/2 - 3*h + 4 = 0.
-2, 1, 4
Determine a so that -3*a**2 - 63*a + 1620 = 0.
-36, 15
Factor 4*j**5 - 400*j**4 + 2640*j**3 - 3240*j**2 - 10260*j + 20088.
4*(j - 93)*(j - 3)**3*(j + 2)
Factor -2*y**3/7 - 6*y**2/7 + 18*y/7 - 10/7.
-2*(y - 1)**2*(y + 5)/7
Determine z, given that -15*z**4 - 87*z**3 - 762*z**2/5 - 84*z - 72/5 = 0.
-3, -2, -2/5
Factor -s**4/5 - 42*s**3/5 - 96*s**2 - 160*s.
-s*(s + 2)*(s + 20)**2/5
Solve 2*w**2/7 + 18*w/7 - 800/7 = 0.
-25, 16
Factor 2*o**4 - 20*o**3 + 66*o**2 - 80*o + 32.
2*(o - 4)**2*(o - 1)**2
Let -x**4/10 - x**3/10 + 6*x**2/5 - 2*x/5 - 8/5 = 0. Calculate x.
-4, -1, 2
Let -q**5 + 12*q**3 + 16*q**2 = 0. Calculate q.
-2, 0, 4
Determine y, given that 2*y**5/3 + 10*y**4/3 + 10*y**3/3 - 10*y**2/3 - 4*y = 0.
-3, -2, -1, 0, 1
Solve 28*j**5 + 440*j**4 - 1472*j**3 - 31872*j**2 + 9216*j = 0 for j.
-12, 0, 2/7, 8
Solve -4*d**2 - 336*d - 656 = 0 for d.
-82, -2
Suppose -2*o**4/7 + 380*o**3/7 - 16874*o**2/7 - 15960*o - 24696 = 0. Calculate o.
-3, 98
Factor -z**2/4 + 223*z - 49729.
-(z - 446)**2/4
Factor 2*q**5/3 - 4*q**4/3 - 4*q**3 + 8*q**2/3 + 26*q/3 + 4.
2*(q - 3)*(q - 2)*(q + 1)**3/3
Solve 3*x**2/7 - 1110*x/7 + 2208/7 = 0.
2, 368
Factor -5*j**2 + 5*j + 10.
-5*(j - 2)*(j + 1)
Solve -14*b**4/5 - 58*b**3 - 924*b**2/5 + 6336*b/5 - 1728/5 = 0 for b.
-12, 2/7, 3
Let 12*h**4 + 92*h**3 + 160*h**2 - 64*h = 0. What is h?
-4, 0, 1/3
Find d, given that 2*d**3/5 - 82*d**2/5 + 718*d/5 - 638/5 = 0.
1, 11, 29
Factor -2*k**5/5 - 4*k**4/5 + 36*k**3/5 - 64*k**2/5 + 46*k/5 - 12/5.
-2*(k - 1)**4*(k + 6)/5
Factor n**2 - 3*n.
n*(n - 3)
Factor 27*s**3/2 - 909*s**2/2 - 624*s - 210.
3*(s - 35)*(3*s + 2)**2/2
Factor 4*k**3/9 + 148*k**2/9 - 308*k/9 + 52/3.
4*(k - 1)**2*(k + 39)/9
Find w, given that -5*w**4 - 260*w**3 + 2770*w**2 + 159900*w - 1891125 = 0.
-41, 15
Factor -r**2/8 - 66*r - 8712.
-(r + 264)**2/8
Factor 2*q**3/3 + 10*q**2/3 + 14*q/3 + 2.
2*(q + 1)**2*(q + 3)/3
Factor 14*t**5 - 16*t**4 - 74*t**3 - 44*t**2.
2*t**2*(t + 1)**2*(7*t - 22)
Factor r**3 - 1448*r**2 - r + 1448.
(r - 1448)*(r - 1)*(r + 1)
Solve -2*v**5/9 - 4*v**4/9 + 250*v**3/9 - 52*v**2 = 0.
-13, 0, 2, 9
Factor -2*j**4 - 208*j**3 - 7436*j**2 - 105456*j - 514098.
-2*(j + 13)**2*(j + 39)**2
Factor -3*k**3 - 25*k**2 - 29*k - 7.
-(k + 1)*(k + 7)*(3*k + 1)
Factor 2*l**2/15 + 10*l/3 - 56/5.
2*(l - 3)*(l + 28)/15
What is k in -k**3 - 37*k**2 + 38*k = 0?
-38, 0, 1
Factor -2*s**2 + 64*s - 512.
-2*(s - 16)**2
Factor -16*u**3/3 - 5216*u**2/3 - 5204*u/3 - 1300/3.
-4*(u + 325)*(2*u + 1)**2/3
Factor g**3/2 - 14*g**2 + 53*g/2 - 13.
(g - 26)*(g - 1)**2/2
Factor 2*w**2/17 + 56*w/17.
2*w*(w + 28)/17
Factor -c**3/2 - 57*c**2/2 - 28*c.
-c*(c + 1)*(c + 56)/2
Suppose -5*i**5 - 70*i**4 - 320*i**3 - 570*i**2 - 315*i = 0. Calculate i.
-7, -3, -1, 0
Determine q, given that -2*q**2/7 - 74*q/7 = 0.
-37, 0
Factor -u**4 + 2*u**3 + 3*u**2.
-u**2*(u - 3)*(u + 1)
Factor -2*n**3/7 - 18*n**2/7 - 16*n/7 + 120/7.
-2*(n - 2)*(n + 5)*(n + 6)/7
Factor y**4/4 - 97*y**3/2 + 763*y**2/4 - 285*y/2.
y*(y - 190)*(y - 3)*(y - 1)/4
Factor 95*f**2 + 180*f - 20.
5*(f + 2)*(19*f - 2)
Factor 12*g**3 - 3609*g**2/2 + 68175*g - 50625/2.
3*(g - 75)**2*(8*g - 3)/2
Let 6*p**3/13 + 206*p**2/13 + 436*p/13 - 384/13 = 0. What is p?
-32, -3, 2/3
Factor 165*r**2/7 - 489*r/7 - 18/7.
3*(r - 3)*(55*r + 2)/7
Factor d**5/5 - 9*d**4/5 + 23*d**3/5 - 3*d**2/5 - 36*d/5.
d*(d - 4)*(d - 3)**2*(d + 1)/5
Factor -5*m**3 + 35*m**2 + 4130*m - 4160.
-5*(m - 32)*(m - 1)*(m + 26)
Find n such that -2*n**5/5 - 88*n**4/5 - 108*n**3 - 824*n**2/5 - 74*n = 0.
-37, -5, -1, 0
Suppose 2*b**2/7 - 4856*b/7 + 2947592/7 = 0. What is b?
1214
Find r such that -r**4/2 + r**3/2 + 5*r**2 + 4*r = 0.
-2, -1, 0, 4
What is i in 4*i**4/5 + 3*i**3 + 16*i**2/5 + 3*i/5 - 2/5 = 0?
-2, -1, 1/4
Solve 80*b**5 - 760*b**4 + 2165*b**3 - 1330*b**2 - 1120*b - 160 = 0.
-1/4, 2, 4
Find h such that 3*h**3 - 15*h**2 - 39*h - 21 = 0.
-1, 7
Factor 26*m**5/11 + 358*m**4/11 + 1470*m**3/11 + 850*m**2/11 - 4000*m/11.
2*m*(m + 5)**3*(13*m - 16)/11
Solve -q**4/9 - 52*q**3/9 - 626*q**2/9 + 52*q/9 + 209/3 = 0.
-33, -19, -1, 1
Factor z**3/3 - 8*z**2/3 - 31*z/3 - 22/3.
(z - 11)*(z + 1)*(z + 2)/3
Factor -3*p**4 + 30*p**3 + 36*p**2 - 30*p - 33.
-3*(p - 11)*(p - 1)*(p + 1)**2
Solve m**4/2 - 8*m**3 + 21*m**2 - 20*m + 13/2 = 0.
1, 13
Solve 2*x**3 - 8*x**2 = 0 for x.
0, 4
Determine f so that 3*f**3 - 6237*f**2 = 0.
0, 2079
Factor 2*v**3 + 48*v**2 - 162*v.
2*v*(v - 3)*(v + 27)
Suppose -2*c**5/21 + 8*c**4/3 - 52*c**3/7 + 152*c**2/21 - 50*c/21 = 0. Calculate c.
0, 1, 25
Factor -4*s**2/5 - 36*s/5 - 16.
-4*(s + 4)*(s + 5)/5
Factor 103*y**4/2 + 617*y**3/3 + 614*y**2/3 - 4*y/3.
y*(y + 2)**2*(309*y - 2)/6
Factor 4*m**2 - 2360*m + 2356.