= 0. Calculate c.
3, 13
Find k such that -5*k**5 - 50*k**4/3 + 65*k**3 + 250*k**2/3 - 180*k - 200/3 = 0.
-5, -2, -1/3, 2
Let -5*h**4 - 75*h**3 - 235*h**2 - 165*h = 0. What is h?
-11, -3, -1, 0
Determine f, given that -3*f**4/2 + 87*f**3/2 - 441*f**2/2 + 633*f/2 - 138 = 0.
1, 4, 23
Factor -5*g**4 + 375*g**3 - 1440*g**2 - 241920*g.
-5*g*(g - 48)**2*(g + 21)
Factor 98*k**3/13 - 1512*k**2/13 + 1632*k/13 + 36992/13.
2*(k + 4)*(7*k - 68)**2/13
Factor 5*d**4/2 + 745*d**3/2 + 18180*d**2 + 367200*d + 2661120.
5*(d + 24)**3*(d + 77)/2
Suppose 26*a**2 + 3142*a - 484 = 0. Calculate a.
-121, 2/13
Factor -3*k**2/4 + 12*k - 45/4.
-3*(k - 15)*(k - 1)/4
Factor -x**3/3 - 313*x**2/3 - 8216*x - 8112.
-(x + 1)*(x + 156)**2/3
Factor -2*g**3 - 126*g**2 - 2046*g - 1922.
-2*(g + 1)*(g + 31)**2
Find w such that -14*w**2/5 + 18*w/5 - 4/5 = 0.
2/7, 1
Let l**2/3 - 1829*l/3 - 610 = 0. What is l?
-1, 1830
Factor -3*k**2 + 18*k.
-3*k*(k - 6)
Let -3*f**3/2 - 21*f**2/2 - 21*f - 12 = 0. Calculate f.
-4, -2, -1
Factor 39*y**3/5 + 71*y**2/5 - 94*y/5 - 16/5.
(y - 1)*(3*y + 8)*(13*y + 2)/5
Factor -4*q**2/5 + 584*q - 106580.
-4*(q - 365)**2/5
Factor -a**3/6 - 2*a**2/3 + a/2 + 3.
-(a - 2)*(a + 3)**2/6
Factor -j**5 - 15*j**4 - 26*j**3 + 2*j**2 + 27*j + 13.
-(j - 1)*(j + 1)**3*(j + 13)
Suppose -r**5 + 10*r**4 + 27*r**3 - 36*r**2 = 0. What is r?
-3, 0, 1, 12
Solve -55*j**5/2 - 163*j**4/2 - 52*j**3 + 2*j**2 = 0 for j.
-2, -1, 0, 2/55
Let -g**5/5 - 6*g**4/5 + 6*g**3 + 16*g**2/5 - 93*g/5 + 54/5 = 0. What is g?
-9, -2, 1, 3
Find f, given that -12*f**3 - 176*f**2 + 468*f - 136 = 0.
-17, 1/3, 2
Factor -13*m**3 + 9*m**2 + 90*m.
-m*(m - 3)*(13*m + 30)
Determine t, given that 2*t**4 + 86*t**3 + 876*t**2 - 1144*t - 1936 = 0.
-22, -1, 2
Factor -3*v**2 + 11706*v - 11419203.
-3*(v - 1951)**2
Find m such that -80*m**5/7 - 192*m**4/7 + 124*m**3/7 + 36*m**2 - 32*m + 48/7 = 0.
-2, 1/2, 3/5
Factor -3*n**4 + 25*n**3 + 19*n**2 - 9*n.
-n*(n - 9)*(n + 1)*(3*n - 1)
Let c**4/3 + 3*c**3 + 5*c**2 + 7*c/3 = 0. Calculate c.
-7, -1, 0
Suppose 3*g**5 + 18*g**4 - 66*g**3 - 480*g**2 - 225*g + 750 = 0. What is g?
-5, -2, 1, 5
Determine y, given that 2*y**5 + 18*y**4 + 22*y**3 - 42*y**2 = 0.
-7, -3, 0, 1
Factor 8*y**3/7 + 702*y**2/7 - 888*y/7 + 178/7.
2*(y - 1)*(y + 89)*(4*y - 1)/7
Find w, given that -2*w**5/7 - 10*w**4/7 - 2*w**3 + 2*w**2/7 + 16*w/7 + 8/7 = 0.
-2, -1, 1
Factor o**5/3 - 10*o**4/3 + 12*o**3 - 58*o**2/3 + 43*o/3 - 4.
(o - 4)*(o - 3)*(o - 1)**3/3
Let -2*a**3/11 - 296*a**2/11 - 282*a/11 + 1764/11 = 0. What is a?
-147, -3, 2
Factor p**3/3 + 6*p**2 - 304*p/3 - 224.
(p - 12)*(p + 2)*(p + 28)/3
Solve -3*c**2/4 - 61*c/4 - 5 = 0.
-20, -1/3
Factor -1119*b**4/5 - 672*b**3 - 3366*b**2/5 - 1128*b/5 - 3/5.
-3*(b + 1)**3*(373*b + 1)/5
Factor 3*o**3 + 120*o**2 + 231*o + 114.
3*(o + 1)**2*(o + 38)
Factor -c**4 - 12*c**3 - 29*c**2 + 42*c.
-c*(c - 1)*(c + 6)*(c + 7)
Find c, given that c**3 - 263*c**2 + 256*c + 1572 = 0.
-2, 3, 262
Factor -n**3/4 + 7*n/4 - 3/2.
-(n - 2)*(n - 1)*(n + 3)/4
Factor 4*d**4 - 76*d**3 + 68*d**2 + 76*d - 72.
4*(d - 18)*(d - 1)**2*(d + 1)
Solve 9*f**4/4 - 9699*f**3 + 20911043*f**2/2 - 6967115*f + 4644025/4 = 0.
1/3, 2155
Find m such that 3*m**3 + 45*m**2 + 81*m + 39 = 0.
-13, -1
Determine g, given that 10*g**5 - 56*g**4 - 234*g**3 + 256*g**2 + 616*g + 192 = 0.
-3, -1, -2/5, 2, 8
Factor -v**5 - 7*v**4.
-v**4*(v + 7)
Factor v**2 - 37*v - 1380.
(v - 60)*(v + 23)
Factor -j**3/7 + 24*j**2/7 - 144*j/7.
-j*(j - 12)**2/7
Determine z so that z**5 + 8*z**4 - 23*z**3 - 30*z**2 = 0.
-10, -1, 0, 3
Suppose 4*i**4 + 20*i**3 + 24*i**2 = 0. Calculate i.
-3, -2, 0
Solve 8*k**4/5 + 108*k**3/5 + 236*k**2/5 + 36*k + 44/5 = 0.
-11, -1, -1/2
Solve 3*t**5/4 - 9*t**4/4 - 21*t**3/4 + 21*t**2/4 + 27*t/2 + 6 = 0 for t.
-1, 2, 4
Solve -3*k**5 + 12*k**4 + 1665*k**3 - 17550*k**2 = 0 for k.
-26, 0, 15
Factor 2*y**2/7 + 10*y/7 - 100/7.
2*(y - 5)*(y + 10)/7
Factor 112*y**3 + 668*y**2 - 24*y.
4*y*(y + 6)*(28*y - 1)
Find j, given that -2*j**2 - 110*j + 112 = 0.
-56, 1
Let -r**5/2 + 19*r**4/2 + 41*r**3/2 + 21*r**2/2 = 0. Calculate r.
-1, 0, 21
Determine d, given that d**2/3 + 412*d/3 + 42436/3 = 0.
-206
Determine g so that 5*g**5 - 1930*g**4 + 186245*g**3 = 0.
0, 193
Solve -v**3 + 589*v**2 - 85840*v - 262848 = 0 for v.
-3, 296
Determine z so that 3*z**4/4 - 15*z**3/4 - 24*z**2 - 27*z = 0.
-2, 0, 9
Factor -2*y**2/5 + 8204*y/5 - 8413202/5.
-2*(y - 2051)**2/5
Determine l, given that -8*l**4/3 + 10*l**3/3 + 2*l**2 - 10*l/3 + 2/3 = 0.
-1, 1/4, 1
Factor 7*j**3/3 + 44*j**2/3 - 7*j/3 - 44/3.
(j - 1)*(j + 1)*(7*j + 44)/3
Let 2*y**4/11 + 42*y**3/11 + 32*y**2/11 - 168*y/11 - 160/11 = 0. What is y?
-20, -2, -1, 2
Suppose 3*v**3 + 18*v**2 - 108*v + 120 = 0. What is v?
-10, 2
Suppose 2*k**3/5 + 4*k**2/5 - 2*k - 12/5 = 0. Calculate k.
-3, -1, 2
Factor -2*h**2/5 + 28*h/5 - 48/5.
-2*(h - 12)*(h - 2)/5
Factor -2*n**3/9 + 304*n**2/9 - 298*n/9 - 604/9.
-2*(n - 151)*(n - 2)*(n + 1)/9
Determine r, given that -2*r**2/3 - 11*r - 16/3 = 0.
-16, -1/2
Find d such that 4*d**3 + 88*d**2 + 356*d + 272 = 0.
-17, -4, -1
Solve -4*c**3 + 124*c**2 + 408*c = 0 for c.
-3, 0, 34
Determine l, given that -l**2 + 12*l - 27 = 0.
3, 9
Factor -2*q**2/7 + 6*q/7.
-2*q*(q - 3)/7
Suppose 2*u**4 - 50*u**3 + 468*u**2 - 1944*u + 3024 = 0. What is u?
6, 7
Factor 4*p**3 + 40*p**2 - 172*p - 208.
4*(p - 4)*(p + 1)*(p + 13)
Suppose -5*g**4/2 - 190*g**3 - 5040*g**2 - 51840*g - 138240 = 0. Calculate g.
-24, -4
Determine b, given that -3*b**5 - 60*b**4 - 318*b**3 + 144*b**2 + 3321*b + 2916 = 0.
-9, -4, -1, 3
Factor -3*j**4 + 27*j**3 - 81*j**2 + 93*j - 36.
-3*(j - 4)*(j - 3)*(j - 1)**2
Determine p, given that -3*p**5/2 + 33*p**4 - 123*p**3/2 + 30*p**2 = 0.
0, 1, 20
Let 4*n**3 - 132*n**2 - 576*n - 592 = 0. Calculate n.
-2, 37
Factor 3*j**4 + 39*j**3 - 3*j**2 - 39*j.
3*j*(j - 1)*(j + 1)*(j + 13)
Suppose -5*b**2 + 330*b - 5200 = 0. Calculate b.
26, 40
Let 3*x**2/5 + 15*x + 252/5 = 0. What is x?
-21, -4
Factor 5*f**2 + 800*f + 4620.
5*(f + 6)*(f + 154)
Suppose -2*i**3/3 + 342*i**2 + 686*i + 1030/3 = 0. What is i?
-1, 515
Solve -24*t**5 - 1396*t**4 - 4236*t**3 - 3076*t**2 + 228*t + 440 = 0 for t.
-55, -2, -1, -1/2, 1/3
Factor -4*s**2/3 - 58*s/3 - 28/3.
-2*(s + 14)*(2*s + 1)/3
Let 3*q**5 - 33*q**4 - 141*q**3 + 201*q**2 + 138*q - 168 = 0. Calculate q.
-4, -1, 1, 14
Factor -2*d**5/3 + 46*d**4 - 132*d**3.
-2*d**3*(d - 66)*(d - 3)/3
Find y, given that -2*y**5 + 806*y**4/5 - 2756*y**3/5 - 1232*y**2/5 = 0.
-2/5, 0, 4, 77
Let 2*p**4 + 50*p**3 - 162*p**2 + 166*p - 56 = 0. Calculate p.
-28, 1
Determine n, given that -5*n**3 - 20*n**2 - 20*n = 0.
-2, 0
Determine x, given that 2*x**5/11 - 162*x**4/11 + 926*x**3/11 - 1974*x**2/11 + 1808*x/11 - 600/11 = 0.
1, 2, 75
Factor 2*i**2/3 + 26*i/3 + 8.
2*(i + 1)*(i + 12)/3
Determine v so that v**2/3 + 16*v/3 + 64/3 = 0.
-8
Find a such that -2*a**3/7 + 32*a**2/7 - 26*a/7 - 60/7 = 0.
-1, 2, 15
Factor -5*t**2/3 + 20*t - 160/3.
-5*(t - 8)*(t - 4)/3
Factor 12*h**4 + 33*h**3 - 117*h**2 - 297*h + 81.
3*(h - 3)*(h + 3)**2*(4*h - 1)
Determine n, given that n**4/2 - 3*n**3/2 - 17*n**2/2 + 39*n/2 - 10 = 0.
-4, 1, 5
Determine u so that 5*u**3/3 + 15*u**2 - 50*u/3 = 0.
-10, 0, 1
Factor -5*q**3 + 25*q**2 - 20*q.
-5*q*(q - 4)*(q - 1)
Factor 2*t**5/7 - 8*t**4/7 - 64*t**3/7 - 32*t**2/7 + 32*t + 256/7.
2*(t - 8)*(t - 2)*(t + 2)**3/7
Factor -r**4 + 11*r**3 + 39*r**2 + 41*r + 14.
-(r - 14)*(r + 1)**3
Factor n**3/5 + 6*n**2/5 - 7*n/5.
n*(n - 1)*(n + 7)/5
Factor -k**4 - 45*k**3 + 46*k**2.
-k**2*(k - 1)*(k + 46)
Factor -i**4/2 - 33*i**3/2 - 255*i**2/2 + 289*i/2.
-i*(i - 1)*(i + 17)**2/2
Find z such that z**2/9 - 22*z/9 + 121/9 = 0.
11
Let -4*i**3 + 17*i**2/3 - i - 2/3 = 0. What is i?
-1/4, 2/3, 1
Factor 338*d**2 - 7696*d + 43808.
2*(13*d - 148)**2
Determine u so that -4*u**4 - 168*u**3 - 864*u**2 = 0.
-36, -6, 0
Find t, given that -4*t**2 - 196*t + 200 = 0.
-50, 1
Factor 15*s**4 - 20*s**3 - 25*s**2 + 10*s.
5*s*(s - 2)*(s + 1)*(3*s - 1)
Determine l so that l**4 - 30*l**3 + 276*l**2 - 754*l + 507 = 0.
1, 3, 13
Factor -2*u**2/5 - 914*u/5.
-2*u*(u + 457)/5
Solve -2*a**2/11 + 1808*a/11 - 1806/11 = 0 for a.
1, 903
Solve -5*f**4 + 190*f**3 - 1000*f**2 - 2590*f - 1395 = 0 for f.
-1, 9, 31
Solve 2*b**2/13 + 76*b/13 + 210/13 = 0.
-35, -3
Factor -2*b**2/9 + 2252*b/9 - 633938/9.
-2*(b - 563)**2/9
Let