2*s**4/7 - 26*s**3/7 - 102*s**2/7 + 36*s/7 = 0 for s.
-3, 0, 1/3, 2
Factor -2*p**5/3 - 2*p**4/3 + 10*p**3/3 - 2*p**2.
-2*p**2*(p - 1)**2*(p + 3)/3
Let -u**4 + 9*u**3 + 17*u**2 - 189*u - 196 = 0. What is u?
-4, -1, 7
Find k such that -2*k**3 + 34*k**2 + 18*k - 306 = 0.
-3, 3, 17
Factor -5*x**2 + 415*x + 420.
-5*(x - 84)*(x + 1)
Factor 20*w**3 - 120*w**2 + 105*w - 25.
5*(w - 5)*(2*w - 1)**2
Solve k**4/4 - 29*k**3/4 + 111*k**2/2 - 35*k - 98 = 0.
-1, 2, 14
Find z such that -2*z**4/17 + 4*z**3 - 792*z**2/17 + 3388*z/17 - 2662/17 = 0.
1, 11
Factor 2*n**2/7 + 10*n/7.
2*n*(n + 5)/7
Suppose 2*s**3/5 - 218*s**2/15 + 672*s/5 - 216/5 = 0. Calculate s.
1/3, 18
Find s such that -5*s**5 + 85*s**4 - 390*s**3 + 320*s**2 + 800*s = 0.
-1, 0, 4, 10
Suppose -3*g**3 - 14*g**2 - 49*g/3 = 0. What is g?
-7/3, 0
Solve -h**5/2 - 39*h**4/2 - 239*h**3/2 - 493*h**2/2 - 210*h - 64 = 0 for h.
-32, -4, -1
Factor 3*o**2 + 36*o + 108.
3*(o + 6)**2
Factor -20*i**3 + 232*i**2 - 124*i - 88.
-4*(i - 11)*(i - 1)*(5*i + 2)
Factor -5*y**3 - 720*y**2 + 5*y + 720.
-5*(y - 1)*(y + 1)*(y + 144)
Suppose -l**5 + 1528*l**4 - 585222*l**3 + 1165864*l**2 - 582169*l = 0. What is l?
0, 1, 763
Find c such that 2*c**5/5 - 2*c**4/5 - 18*c**3/5 + 2*c**2 + 32*c/5 - 24/5 = 0.
-2, 1, 3
Determine r, given that 4*r**3 - 424*r**2 + 836*r - 416 = 0.
1, 104
Find w, given that -4*w**3 - 444*w**2 - 16428*w - 202612 = 0.
-37
Let -3*g**4/4 - 21*g**3 + 273*g**2/2 + 405*g - 2079/4 = 0. What is g?
-33, -3, 1, 7
What is m in m**4 + 366*m**3 + 33488*m**2 - 366*m - 33489 = 0?
-183, -1, 1
Let 3*n**2 + 618*n - 621 = 0. Calculate n.
-207, 1
Let 4*b**2 + 4472*b + 1249924 = 0. What is b?
-559
Determine c, given that 2*c**5/5 - 44*c**4/5 + 104*c**3/5 + 196*c**2/5 - 106*c/5 - 152/5 = 0.
-1, 1, 4, 19
Factor -5*b**3 - 405*b**2 - 10935*b - 98415.
-5*(b + 27)**3
Solve 2*j**4 - 88*j**3 + 1050*j**2 - 1764*j = 0 for j.
0, 2, 21
Factor z**4/5 - 171*z**3/5 - 872*z**2/5 - 1404*z/5 - 704/5.
(z - 176)*(z + 1)*(z + 2)**2/5
Factor -6*n**3 + 2858*n**2/3 + 212*n.
-2*n*(n - 159)*(9*n + 2)/3
Factor 2*s**3 - 16*s**2 - 18*s.
2*s*(s - 9)*(s + 1)
Factor -28*d**3 + 184*d**2 + 572*d + 360.
-4*(d - 9)*(d + 1)*(7*d + 10)
Determine m so that 3*m**4/4 - 33*m**3/2 + 315*m**2/4 - 108*m = 0.
0, 3, 16
What is c in -35*c**5 + 200*c**4 - 360*c**3 + 160*c**2 + 80*c = 0?
-2/7, 0, 2
Factor x**3 + 32*x**2 - x - 32.
(x - 1)*(x + 1)*(x + 32)
Let 6*k**5 + 112*k**4 + 502*k**3 + 804*k**2 + 296*k - 208 = 0. Calculate k.
-13, -2, 1/3
Suppose 3*t**2 - 3*t = 0. What is t?
0, 1
Find z, given that 5*z**4 - 40*z**2 + 80 = 0.
-2, 2
Factor -m**4 + 84*m**3 - 477*m**2 + 702*m.
-m*(m - 78)*(m - 3)**2
Factor d**3 - 17*d**2 + 75*d - 99.
(d - 11)*(d - 3)**2
Determine o, given that 2*o**3/15 + 10*o**2 + 952*o/15 = 0.
-68, -7, 0
Factor 3*r**4 - 741*r**3 - 1494*r**2.
3*r**2*(r - 249)*(r + 2)
Determine d, given that 4*d**4 - 36*d**3 + 92*d**2 - 60*d = 0.
0, 1, 3, 5
Let 4*a**3 - 64*a**2 + 164*a - 104 = 0. What is a?
1, 2, 13
Determine l, given that -3*l**3/5 - 18*l**2/5 - 9*l/5 + 6 = 0.
-5, -2, 1
Suppose -2*n**5/7 - 36*n**4/7 + 262*n**3/7 - 600*n**2/7 + 568*n/7 - 192/7 = 0. Calculate n.
-24, 1, 2
Factor 3*z**3/5 + 18*z**2/5 - 6177*z/5 - 6192/5.
3*(z - 43)*(z + 1)*(z + 48)/5
What is q in q**2/9 - 1862*q/9 + 866761/9 = 0?
931
Determine i, given that -2*i**5/15 + 14*i**4/15 + 352*i**3/15 + 1784*i**2/15 + 704*i/3 + 2432/15 = 0.
-4, -2, 19
Factor -5*z**4 + 95*z**3 - 325*z**2 + 385*z - 150.
-5*(z - 15)*(z - 2)*(z - 1)**2
Factor 2*j**2/5 + 1538*j/5.
2*j*(j + 769)/5
Suppose -2*i**5/3 - 10*i**4/3 + 12*i**3 + 48*i**2 = 0. Calculate i.
-6, -3, 0, 4
Factor r**4/6 - 21*r**3/2 + 23*r**2/3 + 162*r + 620/3.
(r - 62)*(r - 5)*(r + 2)**2/6
Suppose -2*w**4/17 - 46*w**3/17 - 214*w**2/17 - 10*w = 0. Calculate w.
-17, -5, -1, 0
Factor -d**3/10 - d**2/2 + 113*d/5 - 76.
-(d - 10)*(d - 4)*(d + 19)/10
Factor 2*r**5 - 126*r**4 - 1362*r**3 + 4822*r**2 - 5064*r + 1728.
2*(r - 72)*(r - 1)**3*(r + 12)
Let 2*k**3/7 - 74*k**2/7 + 72*k/7 = 0. What is k?
0, 1, 36
Factor -135*m**2 - 18890*m + 1400.
-5*(m + 140)*(27*m - 2)
Find f, given that 10*f**2/3 - 14*f/3 + 4/3 = 0.
2/5, 1
Suppose -z**4/3 - z**3 + 59*z**2/3 - 35*z + 50/3 = 0. What is z?
-10, 1, 5
Let 5*l**2 + 560*l = 0. What is l?
-112, 0
Factor 2*i**3/13 + 8*i**2/13 + 2*i/13 - 12/13.
2*(i - 1)*(i + 2)*(i + 3)/13
Suppose 4*v**2 - 232*v + 3364 = 0. Calculate v.
29
Find o, given that 6*o**2 + 28*o - 10 = 0.
-5, 1/3
What is w in w**2/4 - 259*w/4 = 0?
0, 259
Factor -2*c**4/23 - 166*c**3/23 - 4350*c**2/23 - 28594*c/23 + 195112/23.
-2*(c - 4)*(c + 29)**3/23
What is v in 15*v**4 + 235*v**3 - 335*v**2 + 85*v = 0?
-17, 0, 1/3, 1
Determine d so that -d**5/3 + 40*d**4/3 - 553*d**3/3 + 1038*d**2 - 2340*d + 1800 = 0.
2, 6, 15
Factor -55*j**3 - 28700*j**2/3 - 415715*j + 25230.
-5*(j + 87)**2*(33*j - 2)/3
Factor 28*t**4 + 64*t**3 - 68*t**2 - 24*t.
4*t*(t - 1)*(t + 3)*(7*t + 2)
Let t**2/3 - 34*t/3 - 35/3 = 0. What is t?
-1, 35
Let -r**3 + 62*r**2 - 61*r = 0. Calculate r.
0, 1, 61
Factor 2*q**3/17 - 48*q**2/17 + 46*q/17.
2*q*(q - 23)*(q - 1)/17
Factor 2*r**5 - 422*r**4 + 21620*r**3 + 67412*r**2 + 68266*r + 22898.
2*(r - 107)**2*(r + 1)**3
Suppose -2*s**3/3 + 44*s**2/3 + 2*s/3 - 44/3 = 0. Calculate s.
-1, 1, 22
Let 4*p**3/9 + 308*p**2/9 + 256*p/9 - 1216/3 = 0. What is p?
-76, -4, 3
Factor 274*n**3 + 2736*n**2/5 + 1362*n/5 - 4/5.
2*(n + 1)**2*(685*n - 2)/5
Factor -2*j**2 + 16*j.
-2*j*(j - 8)
Factor b**2/5 + b/5 - 6.
(b - 5)*(b + 6)/5
Suppose 2*p**3 + 120*p**2 + 234*p + 116 = 0. What is p?
-58, -1
Factor -5*n**3 + 25*n**2 + 140*n - 160.
-5*(n - 8)*(n - 1)*(n + 4)
Factor -3*y**2 - 852*y.
-3*y*(y + 284)
Factor -2*a**3/11 + 196*a**2/11 - 6272*a/11 + 65856/11.
-2*(a - 42)*(a - 28)**2/11
Factor 4*f**3 - 4*f.
4*f*(f - 1)*(f + 1)
Suppose l**4/4 - 61*l**3/4 + 177*l**2/4 - 175*l/4 + 29/2 = 0. What is l?
1, 58
Suppose -22*h**3/5 + 14*h**2/5 + 22*h/5 - 14/5 = 0. What is h?
-1, 7/11, 1
Factor -2*j**3 - 374*j**2 - 18032*j - 50784.
-2*(j + 3)*(j + 92)**2
Factor 4*n**2/7 + 1276*n/7 - 2568/7.
4*(n - 2)*(n + 321)/7
Factor 5*a**3 - 53*a**2 - 22*a.
a*(a - 11)*(5*a + 2)
Factor -3*u**2 + 2583*u - 2580.
-3*(u - 860)*(u - 1)
What is p in -2*p**2/5 - 104*p/5 + 106/5 = 0?
-53, 1
Suppose -18*h**2/7 + 825*h/7 + 558/7 = 0. What is h?
-2/3, 93/2
Factor z**3/5 - 52*z**2/5 + 284*z/5 - 368/5.
(z - 46)*(z - 4)*(z - 2)/5
Factor -4*b**4/3 + 4*b**3 + 52*b**2/3 - 20*b.
-4*b*(b - 5)*(b - 1)*(b + 3)/3
Find g such that 14*g**5/3 - 3*g**4 - 173*g**3/3 - 20*g**2 = 0.
-3, -5/14, 0, 4
Suppose -22*a**4/9 + 614*a**3/9 - 5510*a**2/9 + 15466*a/9 + 484/3 = 0. What is a?
-1/11, 6, 11
Factor o**2/3 - 932*o/3 - 311.
(o - 933)*(o + 1)/3
Factor 2*x**3 - 12*x**2 - 2*x + 12.
2*(x - 6)*(x - 1)*(x + 1)
Determine s so that -6*s**2 + 56*s - 64 = 0.
4/3, 8
Factor -2*g**3/13 + 4*g**2/13 + 2*g + 20/13.
-2*(g - 5)*(g + 1)*(g + 2)/13
Factor z**2 + 670*z + 112225.
(z + 335)**2
Factor -20*p**4 + 448*p**3 - 2596*p**2 + 968*p.
-4*p*(p - 11)**2*(5*p - 2)
Factor 2*g**5 + 18*g**4 - 66*g**3 + 70*g**2 - 24*g.
2*g*(g - 1)**3*(g + 12)
Factor -2*d**4 - 10*d**3 + 2*d**2 + 34*d - 24.
-2*(d - 1)**2*(d + 3)*(d + 4)
Factor -4*f**3/5 - 77*f**2/5 - 16*f/5 + 57/5.
-(f + 1)*(f + 19)*(4*f - 3)/5
Let -2*v**2 + 3056*v - 1167392 = 0. Calculate v.
764
Determine t so that 4*t**3 + 324*t**2 = 0.
-81, 0
Factor 3*i**2 + 1698*i - 1701.
3*(i - 1)*(i + 567)
Determine h so that -234*h**5/19 - 9564*h**4/19 + 42580*h**3/19 - 39744*h**2/19 + 13734*h/19 - 1620/19 = 0.
-45, 1/3, 6/13, 3
Determine w so that -w**3/4 - 51*w**2/4 - 48*w - 47 = 0.
-47, -2
Factor 2*t**5 + 56*t**4 + 488*t**3 + 1344*t**2 + 1152*t.
2*t*(t + 2)**2*(t + 12)**2
Find p, given that -3*p**3/5 + 198*p**2/5 - 573*p/5 + 378/5 = 0.
1, 2, 63
Find x, given that 3*x**3 - 72*x**2 - 153*x - 78 = 0.
-1, 26
Suppose 7*g**4 - 348*g**3 + 516*g**2 + 2864*g + 768 = 0. What is g?
-2, -2/7, 4, 48
Suppose 2*h**2/5 + 17644*h/5 + 38913842/5 = 0. Calculate h.
-4411
Factor m**4 + 4*m**3 + 3*m**2 - 4*m - 4.
(m - 1)*(m + 1)*(m + 2)**2
Solve -f**2/6 + 71*f/6 = 0 for f.
0, 71
Factor -4*k**2 - 23232*k + 23236.
-4*(k - 1)*(k + 5809)
Determine k, given that 2*k**4/3 + 250*k**3/3 + 8626*k**2/3 + 50150*k/3 + 13924 = 0.
-59, -6, -1
Factor -6*x**4 - 65302*x**3 - 236901144*x**2 - 286439800608*x + 95506258304.
-2*(x + 3628)**3*(3*x - 1)
Solve -5*f**5 -