 - 84/5.
-2*(x + 3)*(x + 14)/5
Determine p so that -35*p**4 - 1565*p**3 + 485*p**2 + 1565*p - 450 = 0.
-45, -1, 2/7, 1
Let 15*l**2 + 110*l - 225 = 0. What is l?
-9, 5/3
Factor 2*a**2 + 76*a - 336.
2*(a - 4)*(a + 42)
Suppose 2*q**4/15 - 2*q**3/5 - 2*q**2/3 + 2*q/5 + 8/15 = 0. What is q?
-1, 1, 4
Factor -3*q**2 - 168*q + 2940.
-3*(q - 14)*(q + 70)
What is s in -s**2/6 + 5*s/3 - 3/2 = 0?
1, 9
What is x in -4*x**4 - 4*x**3 + 28*x**2 + 52*x + 24 = 0?
-2, -1, 3
Solve 6*z**3/5 + 82*z**2/15 + 64*z/15 = 0.
-32/9, -1, 0
Suppose b**5/2 - 6*b**4 = 0. Calculate b.
0, 12
Suppose 3*k**3 - 54*k**2 + 96*k = 0. What is k?
0, 2, 16
Factor 2*l**2/3 + 218*l/3 + 72.
2*(l + 1)*(l + 108)/3
Find u, given that 3*u**3/5 + 9*u**2 + 78*u/5 = 0.
-13, -2, 0
Suppose 5*r**3 + 5*r**2 - 500*r - 1760 = 0. Calculate r.
-8, -4, 11
Factor 2*z**3/9 - 146*z**2/9 + 2486*z/9 - 4114/3.
2*(z - 51)*(z - 11)**2/9
Suppose -u**3/6 - 385*u**2/3 - 769*u/6 = 0. What is u?
-769, -1, 0
Find t, given that t**4/4 + 5*t**3/4 - t**2/4 - 17*t/4 + 3 = 0.
-4, -3, 1
Find f such that 3*f**2/8 - 57*f/2 + 1083/2 = 0.
38
Determine f so that -5*f**4 + 40*f**3 + 170*f**2 - 40*f - 165 = 0.
-3, -1, 1, 11
Factor -4*y**4 + 456*y**3 - 18144*y**2 + 279936*y - 1119744.
-4*(y - 36)**3*(y - 6)
Factor -o**4/4 - 13*o**3/4 - 35*o**2/4 + 49*o/4.
-o*(o - 1)*(o + 7)**2/4
Factor 2*p**4 + 44*p**3 + 224*p**2 - 396*p - 2178.
2*(p - 3)*(p + 3)*(p + 11)**2
Let -3*o**3 + 726*o**2 - 46020*o + 250632 = 0. Calculate o.
6, 118
Factor n**3/2 - 82*n**2 - 499*n/2 - 167.
(n - 167)*(n + 1)*(n + 2)/2
Suppose 5*o**3 + 15*o**2 - 5*o - 15 = 0. Calculate o.
-3, -1, 1
Factor -2*h**3 - 2*h**2 + 66*h - 126.
-2*(h - 3)**2*(h + 7)
Suppose -15*i**3 - 260*i**2 - 1035*i + 810 = 0. What is i?
-9, 2/3
Find b, given that 5*b**2/4 + 575*b/2 = 0.
-230, 0
Factor 4*o**4 - 1016*o**3 + 61396*o**2 + 396240*o + 608400.
4*(o - 130)**2*(o + 3)**2
Find l such that 5*l**2 - 75*l - 500 = 0.
-5, 20
Factor 2*f**4/3 + 10*f**3/3 - 26*f**2/3 + 14*f/3.
2*f*(f - 1)**2*(f + 7)/3
Solve 2*a**3 - 33*a**2/2 - 92*a + 24 = 0.
-4, 1/4, 12
Find l such that -3*l**5 - 39*l**4 + 3*l**3 + 795*l**2 - 1728*l + 972 = 0.
-9, 1, 2
Factor 5*b**3 + 25*b**2 + 20*b.
5*b*(b + 1)*(b + 4)
Factor -4*n**4 - 11*n**3 - 5*n**2 + 2*n.
-n*(n + 1)*(n + 2)*(4*n - 1)
Find w such that -4*w**5 - 64*w**4 - 124*w**3 + 1056*w**2 = 0.
-11, -8, 0, 3
Suppose -4*o**3/17 - 54*o**2/17 - 54*o/17 + 216/17 = 0. Calculate o.
-12, -3, 3/2
Factor -5*q**3 - 5940*q**2 - 2352240*q - 310495680.
-5*(q + 396)**3
Find d, given that -d**3/3 - 4*d**2 - 32*d/3 = 0.
-8, -4, 0
Solve 2*s**2 - 7196*s + 6472802 = 0.
1799
Determine c, given that 3*c**5/2 + 135*c**4/2 + 405*c**3 - 7695*c**2 + 54675*c/2 - 59049/2 = 0.
-27, 3
Find w, given that 3*w**4 + 3*w**3 - 9*w**2 - 3*w + 6 = 0.
-2, -1, 1
Solve -3*w**5 + 5*w**4 + 17*w**3 - 13*w**2 - 6*w = 0 for w.
-2, -1/3, 0, 1, 3
Factor -3*g**3/4 - 63*g**2/4 + 3*g/4 + 63/4.
-3*(g - 1)*(g + 1)*(g + 21)/4
Factor f**2/8 + 157*f/2 + 627/8.
(f + 1)*(f + 627)/8
What is a in a**4/3 + 44*a**3/3 + 55*a**2 + 202*a/3 + 80/3 = 0?
-40, -2, -1
Determine u, given that u**4/2 + 50*u**3 + 49*u**2 - 50*u - 99/2 = 0.
-99, -1, 1
Determine j so that 5*j**5/3 + 20*j**4/3 - 65*j**3 - 230*j**2/3 + 400*j/3 = 0.
-8, -2, 0, 1, 5
Factor 5*c**2 + 7420*c + 2752820.
5*(c + 742)**2
Factor -w**2/5 + 914*w/5 - 208849/5.
-(w - 457)**2/5
Find x, given that 22*x**2/7 + 606*x - 772/7 = 0.
-193, 2/11
Factor -2*b**2/11 - 98*b/11 - 980/11.
-2*(b + 14)*(b + 35)/11
Suppose -9*l**2/4 + 61*l/4 + 7/2 = 0. What is l?
-2/9, 7
Let w**3 + 26*w**2 - 27*w = 0. Calculate w.
-27, 0, 1
Factor 22*m**5/3 + 60*m**4 + 128*m**3 + 64*m**2/3.
2*m**2*(m + 4)**2*(11*m + 2)/3
Factor -2*c**4 - 22*c**3 + 58*c**2 + 78*c.
-2*c*(c - 3)*(c + 1)*(c + 13)
Factor 2*o**3/7 + 4*o**2.
2*o**2*(o + 14)/7
Suppose 5*p**2 + 240*p - 245 = 0. What is p?
-49, 1
Solve 5*k**5 + 38*k**4 + 93*k**3 + 72*k**2 = 0.
-3, -8/5, 0
Factor 2*u**2/11 + 118*u/11.
2*u*(u + 59)/11
Factor -2*z**2/3 - 48*z - 864.
-2*(z + 36)**2/3
Find w such that 1875*w**4 + 20500*w**3 + 18000*w**2 + 5040*w + 400 = 0.
-10, -2/5, -2/15
Factor -2*p**2/13 + 834*p/13 - 64.
-2*(p - 416)*(p - 1)/13
Suppose 3*i**4/2 - 53*i**3/4 + 131*i**2/4 - 83*i/4 + 15/4 = 0. What is i?
1/3, 1/2, 3, 5
Find k, given that -5*k**2 + 95*k - 90 = 0.
1, 18
Factor 4*k**2 - 160*k + 304.
4*(k - 38)*(k - 2)
Determine z, given that -z**4/4 + 8*z**3 + 67*z**2/4 + 17*z/2 = 0.
-1, 0, 34
Factor -3*m**5 - 2403*m**4 - 479997*m**3 + 482403*m**2.
-3*m**2*(m - 1)*(m + 401)**2
Suppose -3*z**2/4 + 15*z/2 - 27/4 = 0. What is z?
1, 9
Factor -2*l**5 + 38*l**3 + 68*l**2 - 24*l - 80.
-2*(l - 5)*(l - 1)*(l + 2)**3
Let 4*f**4 + 12*f**3 - 4*f**2 - 12*f = 0. What is f?
-3, -1, 0, 1
Solve 2*y**5/3 - 6*y**4 - 14*y**3 - 22*y**2/3 = 0.
-1, 0, 11
What is k in k**5/5 + 3*k**4 - 242*k**3/5 + 42*k**2 + 241*k/5 - 45 = 0?
-25, -1, 1, 9
Factor -h**4/3 - 2*h**3/3 + 4*h**2/3 + 2*h/3 - 1.
-(h - 1)**2*(h + 1)*(h + 3)/3
Find v such that -4*v**5 - 2*v**4 + 8*v**3 + 4*v**2 - 4*v - 2 = 0.
-1, -1/2, 1
Let -4*u**4 - 3824*u**3 - 1217304*u**2 - 128625904*u + 129847036 = 0. Calculate u.
-319, 1
Let b**5/4 + b**4 - 21*b**3/4 = 0. Calculate b.
-7, 0, 3
Solve -22*z**2 + 1038*z - 188 = 0 for z.
2/11, 47
Suppose 3*d**5/5 - 36*d**4/5 + 78*d**3/5 + 36*d**2/5 - 81*d/5 = 0. What is d?
-1, 0, 1, 3, 9
Solve -5*i**2 + 17860*i - 15948980 = 0 for i.
1786
Suppose -g**5/3 - 88*g**4/3 + 179*g**3/3 - 30*g**2 = 0. What is g?
-90, 0, 1
Factor -2*y**4/15 + 32*y**3/15 - 12*y**2 + 80*y/3 - 50/3.
-2*(y - 5)**3*(y - 1)/15
Factor -4*k**2/5 + 8*k - 64/5.
-4*(k - 8)*(k - 2)/5
Solve 4*i**5 - 64*i**4/5 + 72*i**3/5 - 32*i**2/5 + 4*i/5 = 0 for i.
0, 1/5, 1
Let -32*i**5/7 - 1280*i**4/7 - 12666*i**3/7 + 239*i**2/7 + 2336*i/7 - 396/7 = 0. What is i?
-22, -18, -1/2, 1/4
Find s, given that -8*s**5/3 + 20*s**4 - 50*s**3 + 145*s**2/3 - 20*s + 3 = 0.
1/2, 3
Factor -5*l**3 - 31*l**2 - 46*l - 8.
-(l + 2)*(l + 4)*(5*l + 1)
Suppose 2*s**4/23 + 18*s**3/23 - 68*s**2/23 + 48*s/23 = 0. Calculate s.
-12, 0, 1, 2
Factor -5*u**3 + 715*u**2 + 2190*u.
-5*u*(u - 146)*(u + 3)
Suppose -5*y**5 + 10*y**4 + 25*y**3 - 50*y**2 - 20*y + 40 = 0. What is y?
-2, -1, 1, 2
Factor -r**2/3 - 493*r/3 + 494/3.
-(r - 1)*(r + 494)/3
Determine k, given that -k**2/4 + 107*k/4 - 483 = 0.
23, 84
Factor q**5 + 161*q**4 + 6399*q**3 - 6561*q**2.
q**2*(q - 1)*(q + 81)**2
What is j in -14*j**4 + 102*j**3 - 182*j**2 + 114*j - 20 = 0?
2/7, 1, 5
Factor 5*m**2 + 45*m - 180.
5*(m - 3)*(m + 12)
Let 4*v**5 + 47*v**4 - 72*v**3 - 89*v**2 + 26*v = 0. Calculate v.
-13, -1, 0, 1/4, 2
Factor 15*n**4 - 96*n**3 + 156*n**2 - 48*n.
3*n*(n - 4)*(n - 2)*(5*n - 2)
Determine t so that -t**4/2 - 9*t**3/2 + 21*t**2/2 - 11*t/2 = 0.
-11, 0, 1
Factor 2*w**3/7 - 6*w**2/7 - 26*w/7 + 30/7.
2*(w - 5)*(w - 1)*(w + 3)/7
Factor 5*z**3 + 3940*z**2 - 39775*z + 99750.
5*(z - 5)**2*(z + 798)
Find h, given that 2*h**5 - 4*h**4 - 42*h**3 + 44*h**2 + 80*h = 0.
-4, -1, 0, 2, 5
What is l in -3*l**2 - 135*l - 258 = 0?
-43, -2
Determine a so that -2*a**3/9 - 1780*a**2/9 + 3566*a/9 - 1784/9 = 0.
-892, 1
Factor 3*m**3/7 + 33*m**2/7 - 408*m/7 + 912/7.
3*(m - 4)**2*(m + 19)/7
Solve -16*d**4 - 796*d**3 + 2712*d**2 - 2324*d + 424 = 0 for d.
-53, 1/4, 1, 2
Determine v so that -v**4/5 + 23*v**3/5 - 63*v**2/5 + 61*v/5 - 4 = 0.
1, 20
Factor -2*v**2/11 - 370*v/11 + 372/11.
-2*(v - 1)*(v + 186)/11
Let 3*o**2 - 50*o - 17 = 0. What is o?
-1/3, 17
Determine n, given that 49*n**3 + 987*n**2 - 873*n + 189 = 0.
-21, 3/7
Factor -8*r**3 - 216*r**2 - 1650*r - 3872.
-2*(r + 16)*(2*r + 11)**2
Let -4*m**2 + 1344*m = 0. What is m?
0, 336
Determine j, given that 3*j**2 + 849*j - 4320 = 0.
-288, 5
Suppose -9*q**2 - 8*q = 0. Calculate q.
-8/9, 0
Factor 9660714532561*c**4/2 - 21918807788*c**3 + 37298028*c**2 - 28208*c + 8.
(1763*c - 2)**4/2
Factor 3*t**5 - 420*t**4 + 828*t**3.
3*t**3*(t - 138)*(t - 2)
Let -z**2/5 + 591*z/5 + 1782/5 = 0. Calculate z.
-3, 594
Solve -3*v**5/2 - 174*v**4 + 6*v**3 + 696*v**2 = 0 for v.
-116, -2, 0, 2
Factor 3*k**2 + 621*k - 1254.
3*(k - 2)*(k + 209)
Find m such that 5*m**5 - 65*m**4 - 320*m**3 + 1340*m**2 - 960*m = 0.
-6, 0, 1, 2, 16
Factor 8*q**3 + 150*q**2 + 582*q + 440.
2*(q + 1)*(q + 4)*(4*q + 55)
Let -w**5 - 2*w**4 + 12*w**3 + 38*w**2 + 37*w + 12 = 0. Calculate w.
-3, -1, 4
Factor -125000*s**3 - 22500*s**2 - 1350